TSTP Solution File: GRP125-1.003 by iProver---3.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.6
% Problem  : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox2/benchmark/theBenchmark.p 300 --prover /export/starexec/sandbox2/solver/bin/res/iproveropt_no_z3

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 16 21:34:00 EDT 2022

% Result   : Unsatisfiable 1.39s 1.56s
% Output   : CNFRefutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (   9 unt;   5 nHn;  29 RR)
%            Number of literals    :   74 (   0 equ;  44 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_63,negated_conjecture,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X0,X3)
    | product(X2,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).

cnf(c_228,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X1,X0,e_2)
    | product(e_2,X2,X1) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_347,plain,
    ( ~ product(e_3,X0,X1)
    | ~ product(X0,e_3,e_2)
    | product(e_2,X1,X0) ),
    inference(instantiation,[status(thm)],[c_228]) ).

cnf(c_446,plain,
    ( ~ product(X0,e_3,e_2)
    | ~ product(e_3,X0,e_2)
    | product(e_2,e_2,X0) ),
    inference(instantiation,[status(thm)],[c_347]) ).

cnf(c_447,plain,
    ( ~ product(e_1,e_3,e_2)
    | ~ product(e_3,e_1,e_2)
    | product(e_2,e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_446]) ).

cnf(c_53,plain,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

cnf(c_61,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X3,X1,X2)
    | equalish(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).

cnf(c_160,plain,
    ( ~ product(e_1,X0,X1)
    | ~ product(e_3,X0,X1) ),
    inference(resolution,[status(thm)],[c_53,c_61]) ).

cnf(c_299,plain,
    ( ~ product(e_1,e_3,e_3)
    | ~ product(e_3,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_60,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X3,X2)
    | equalish(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).

cnf(c_152,plain,
    ( ~ product(X0,e_1,X1)
    | ~ product(X0,e_3,X1) ),
    inference(resolution,[status(thm)],[c_53,c_60]) ).

cnf(c_297,plain,
    ( ~ product(e_3,e_1,e_3)
    | ~ product(e_3,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_152]) ).

cnf(c_58,plain,
    ( ~ group_element(X0)
    | ~ group_element(X1)
    | product(X0,X1,e_1)
    | product(X0,X1,e_2)
    | product(X0,X1,e_3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).

cnf(c_258,plain,
    ( ~ group_element(X0)
    | ~ group_element(e_3)
    | product(e_3,X0,e_1)
    | product(e_3,X0,e_2)
    | product(e_3,X0,e_3) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_261,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_3)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_258]) ).

cnf(c_254,plain,
    ( ~ group_element(X0)
    | ~ group_element(e_3)
    | product(X0,e_3,e_1)
    | product(X0,e_3,e_2)
    | product(X0,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_257,plain,
    ( ~ group_element(e_1)
    | ~ group_element(e_3)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(instantiation,[status(thm)],[c_254]) ).

cnf(c_62,plain,
    product(X0,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).

cnf(c_230,plain,
    product(e_3,e_3,e_3),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_220,plain,
    product(e_2,e_2,e_2),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_52,plain,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

cnf(c_59,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X0,X1,X3)
    | equalish(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).

cnf(c_120,plain,
    ( ~ product(X0,X1,e_1)
    | ~ product(X0,X1,e_2) ),
    inference(resolution,[status(thm)],[c_52,c_59]) ).

cnf(c_219,plain,
    ( ~ product(e_2,e_2,e_1)
    | ~ product(e_2,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_120]) ).

cnf(c_161,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_3,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_160]) ).

cnf(c_153,plain,
    ( ~ product(e_1,e_1,e_1)
    | ~ product(e_1,e_3,e_1) ),
    inference(instantiation,[status(thm)],[c_152]) ).

cnf(c_49,plain,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).

cnf(c_51,plain,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).

cnf(c_64,plain,
    product(e_1,e_1,e_1),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_447,c_299,c_297,c_261,c_257,c_230,c_220,c_219,c_161,c_153,c_49,c_51,c_64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP125-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14  % Command  : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox2/benchmark/theBenchmark.p 300 --prover /export/starexec/sandbox2/solver/bin/res/iproveropt_no_z3
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Aug 31 15:12:02 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 1.39/1.56  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.39/1.56  
% 1.39/1.56  %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------%
% 1.39/1.56  
% 1.39/1.56  ------  iProver source info
% 1.39/1.56  
% 1.39/1.56  git: date: 2022-07-26 19:47:37 +0300
% 1.39/1.56  git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1
% 1.39/1.56  git: non_committed_changes: false
% 1.39/1.56  git: last_make_outside_of_git: false
% 1.39/1.56  
% 1.39/1.56  ------ Parsing...successful
% 1.39/1.56  
% 1.39/1.56  ------  preprocesses with Option_epr_non_horn_non_eq
% 1.39/1.56  
% 1.39/1.56  
% 1.39/1.56  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e 
% 1.39/1.56  
% 1.39/1.56  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 1.39/1.56   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.39/1.56  ------ Proving...
% 1.39/1.56  ------ Problem Properties 
% 1.39/1.56  
% 1.39/1.56  
% 1.39/1.56  clauses                                 15
% 1.39/1.56  conjectures                             1
% 1.39/1.56  EPR                                     15
% 1.39/1.56  Horn                                    14
% 1.39/1.56  unary                                   4
% 1.39/1.56  binary                                  9
% 1.39/1.56  lits                                    30
% 1.39/1.56  lits eq                                 0
% 1.39/1.56  fd_pure                                 0
% 1.39/1.56  fd_pseudo                               0
% 1.39/1.56  fd_cond                                 0
% 1.39/1.56  fd_pseudo_cond                          0
% 1.39/1.56  AC symbols                              0
% 1.39/1.56  
% 1.39/1.56  ------ Schedule EPR non Horn non eq is on
% 1.39/1.56  
% 1.39/1.56  ------ no equalities: superposition off 
% 1.39/1.56  
% 1.39/1.56  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.39/1.56  
% 1.39/1.56  
% 1.39/1.56  ------ 
% 1.39/1.56  Current options:
% 1.39/1.56  ------ 
% 1.39/1.56  
% 1.39/1.56  
% 1.39/1.56  
% 1.39/1.56  
% 1.39/1.56  ------ Proving...
% 1.39/1.56  
% 1.39/1.56  
% 1.39/1.56  % SZS status Unsatisfiable for theBenchmark.p
% 1.39/1.56  
% 1.39/1.56  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.39/1.56  
% 1.39/1.56  ------                               Statistics
% 1.39/1.56  
% 1.39/1.56  ------ Selected
% 1.39/1.56  
% 1.39/1.56  total_time:                             0.038
% 1.39/1.56  
%------------------------------------------------------------------------------