## TSTP Solution File: SYN053-1 by Leo-III---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.0
% Problem  : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n021.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 : Thu Sep 29 22:42:45 EDT 2022

% Result   : Unsatisfiable 2.32s 1.48s
% Output   : Refutation 2.54s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   15 (   3 unt;   4 typ;   0 def)
%            Number of atoms       :   25 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   38 (   8   ~;  14   |;   0   &;  16   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   4 con; 0-1 aty)
%            Number of variables   :    8 (   0   ^   8   !;   0   ?;   8   :)

%------------------------------------------------------------------------------
thf(p_type,type,
p: \$o ).

thf(big_f_type,type,
big_f: \$i > \$o ).

thf(b_type,type,
b: \$i ).

thf(a_type,type,
a: \$i ).

thf(4,negated_conjecture,
! [A: \$i] :
( ~ ( big_f @ a )
| p
| ( big_f @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

thf(10,plain,
! [A: \$i] :
( ~ ( big_f @ a )
| p
| ( big_f @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,negated_conjecture,
( ~ ( big_f @ a )
| ~ ( big_f @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

thf(6,plain,
( ~ ( big_f @ a )
| ~ ( big_f @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(3,negated_conjecture,
~ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

thf(9,plain,
~ p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(1,negated_conjecture,
! [B: \$i,A: \$i] :
( p
| ( big_f @ A )
| ( big_f @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

thf(7,plain,
! [B: \$i,A: \$i] :
( p
| ( big_f @ A )
| ( big_f @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(2,negated_conjecture,
! [A: \$i] :
( p
| ( big_f @ A )
| ( big_f @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

thf(8,plain,
! [A: \$i] :
( p
| ( big_f @ A )
| ( big_f @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(19,plain,
\$false,
inference(e,[status(thm)],[10,6,9,7,8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN053-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n021.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Mon Sep  5 01:20:31 EDT 2022
% 0.16/0.36  % CPUTime  :
% 0.97/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/0.94  % [INFO] 	 Parsing done (98ms).
% 1.20/0.95  % [INFO] 	 Running in sequential loop mode.
% 1.45/1.14  % [INFO] 	 eprover registered as external prover.
% 1.45/1.15  % [INFO] 	 cvc4 registered as external prover.
% 1.45/1.15  % [INFO] 	 Scanning for conjecture ...
% 1.73/1.20  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ...
% 1.73/1.23  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.73/1.23  % [INFO] 	 Problem is propositional (TPTP CNF).
% 1.73/1.23  % [INFO] 	 Type checking passed.
% 1.73/1.23  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ...
% 2.32/1.48  % External prover 'e' found a proof!
% 2.32/1.48  % [INFO] 	 Killing All external provers ...
% 2.32/1.48  % Time passed: 978ms (effective reasoning time: 528ms)
% 2.32/1.48  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.32/1.48  % Axioms used in derivation (0):
% 2.32/1.48  % No. of inferences in proof: 11
% 2.32/1.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 978 ms resp. 528 ms w/o parsing
% 2.54/1.50  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.54/1.50  % [INFO] 	 Killing All external provers ...
%------------------------------------------------------------------------------