## TSTP Solution File: SEU163+1 by iProver---3.6

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : iProver---3.6
% Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n008.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 : Tue Sep 20 06:00:02 EDT 2022

% Result   : Theorem 1.10s 1.54s
% Output   : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  11   ~;   3   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   16 (   0 sgn  10   !;   4   ?)

%------------------------------------------------------------------------------
fof(f4,conjecture,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).

fof(f5,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
inference(negated_conjecture,[],[f4]) ).

fof(f9,plain,
? [X0,X1] :
( ~ subset(X0,union(X1))
& in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).

fof(f11,plain,
( ? [X0,X1] :
( ~ subset(X0,union(X1))
& in(X0,X1) )
=> ( ~ subset(sK0,union(sK1))
& in(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).

fof(f12,plain,
( ~ subset(sK0,union(sK1))
& in(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11]) ).

fof(f16,plain,
~ subset(sK0,union(sK1)),
inference(cnf_transformation,[],[f12]) ).

fof(f6,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).

fof(f10,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).

fof(f17,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).

fof(f15,plain,
in(sK0,sK1),
inference(cnf_transformation,[],[f12]) ).

cnf(c_51,negated_conjecture,
~ subset(sK0,union(sK1)),
inference(cnf_transformation,[],[f16]) ).

cnf(c_53,plain,
( ~ in(X0,X1)
| subset(X0,union(X1)) ),
inference(cnf_transformation,[],[f17]) ).

cnf(c_71,plain,
~ in(sK0,sK1),
inference(resolution,[status(thm)],[c_51,c_53]) ).

cnf(c_52,negated_conjecture,
in(sK0,sK1),
inference(cnf_transformation,[],[f15]) ).

\$false,
inference(minisat,[status(thm)],[c_71,c_52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Sep  3 09:52:25 EDT 2022
% 0.13/0.35  % CPUTime  :
% 1.10/1.54  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.10/1.54
% 1.10/1.54  %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------%
% 1.10/1.54
% 1.10/1.54  ------  iProver source info
% 1.10/1.54
% 1.10/1.54  git: date: 2022-07-26 19:47:37 +0300
% 1.10/1.54  git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1
% 1.10/1.54  git: non_committed_changes: false
% 1.10/1.54  git: last_make_outside_of_git: false
% 1.10/1.54
% 1.10/1.54  ------ Parsing...
% 1.10/1.54  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.10/1.54
% 1.10/1.54  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s
% 1.10/1.54
% 1.10/1.54  % SZS status Theorem for theBenchmark.p
% 1.10/1.54
% 1.10/1.54  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.10/1.54
% 1.10/1.54  ------                               Statistics
% 1.10/1.54
% 1.10/1.54  ------ Selected
% 1.10/1.54
% 1.10/1.54  total_time:                             0.035
% 1.10/1.54
%------------------------------------------------------------------------------
```