TSTP Solution File: ITP021+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ITP021+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 : 600s
% DateTime : Sat Jul 16 22:34:21 EDT 2022
% Result : Theorem 11.88s 2.96s
% Output : CNFRefutation 11.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 15
% Syntax : Number of clauses : 66 ( 22 unt; 20 nHn; 50 RR)
% Number of literals : 123 ( 52 equ; 47 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 48 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_100,plain,
s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))) = s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_100) ).
cnf(i_0_6,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_6) ).
cnf(i_0_83,plain,
s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X2),s(X1,X3))) = s(X1,X3),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_83) ).
cnf(i_0_281,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_281) ).
cnf(i_0_99,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_99) ).
cnf(i_0_280,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_280) ).
cnf(i_0_76,plain,
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_76) ).
cnf(i_0_84,plain,
s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X2),s(X1,X3))) = s(X1,X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_84) ).
cnf(i_0_75,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_75) ).
cnf(i_0_98,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X3),s(tyop_2Eextreal_2Eextreal,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X3)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_98) ).
cnf(i_0_4,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_4) ).
cnf(i_0_279,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_279) ).
cnf(i_0_79,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_79) ).
cnf(i_0_5,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_5) ).
cnf(i_0_80,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7au4j7ys/input.p',i_0_80) ).
cnf(c_0_297,plain,
s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))) = s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),
i_0_100 ).
cnf(c_0_298,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
i_0_6 ).
cnf(c_0_299,plain,
s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X2),s(X1,X3))) = s(X1,X3),
i_0_83 ).
cnf(c_0_300,negated_conjecture,
( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
i_0_281 ).
cnf(c_0_301,plain,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))) = s(tyop_2Eextreal_2Eextreal,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299]) ).
cnf(c_0_302,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_303,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1)))) ),
i_0_99 ).
cnf(c_0_304,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
i_0_280 ).
cnf(c_0_305,plain,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
cnf(c_0_306,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_304,c_0_301]) ).
cnf(c_0_307,plain,
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
i_0_76 ).
cnf(c_0_308,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0)))) ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_309,plain,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_310,plain,
s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X2),s(X1,X3))) = s(X1,X2),
i_0_84 ).
cnf(c_0_311,plain,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Eextreal_2Eextreal,esk6_0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_309]),c_0_310]) ).
cnf(c_0_312,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_300,c_0_311]) ).
cnf(c_0_313,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(spm,[status(thm)],[c_0_307,c_0_303]) ).
cnf(c_0_314,plain,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_315,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,X1)) ),
i_0_75 ).
cnf(c_0_316,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X3),s(tyop_2Eextreal_2Eextreal,X2))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X3)))) ),
i_0_98 ).
cnf(c_0_317,plain,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_318,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0)))))) ),
inference(spm,[status(thm)],[c_0_316,c_0_304]) ).
cnf(c_0_319,plain,
( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))) = s(tyop_2Eextreal_2Eextreal,esk5_0)
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_317]),c_0_299]) ).
cnf(c_0_320,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0)))))) ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_321,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0)))) ),
inference(spm,[status(thm)],[c_0_320,c_0_311]) ).
cnf(c_0_322,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
i_0_4 ).
cnf(c_0_323,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_309]),c_0_322])]) ).
cnf(c_0_324,plain,
s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),
inference(spm,[status(thm)],[c_0_314,c_0_323]) ).
cnf(c_0_325,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
i_0_279 ).
cnf(c_0_326,plain,
s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(spm,[status(thm)],[c_0_324,c_0_298]) ).
cnf(c_0_327,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0)))))) ),
inference(spm,[status(thm)],[c_0_316,c_0_325]) ).
cnf(c_0_328,plain,
s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk4_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Eextreal_2Eextreal,esk6_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_326]),c_0_310]) ).
cnf(c_0_329,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0)))))) ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_330,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
i_0_79 ).
cnf(c_0_331,plain,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk5_0)))) ),
inference(spm,[status(thm)],[c_0_329,c_0_301]) ).
cnf(c_0_332,plain,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1)))) ),
inference(spm,[status(thm)],[c_0_330,c_0_303]) ).
cnf(c_0_333,plain,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_334,negated_conjecture,
( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))) ),
inference(spm,[status(thm)],[c_0_302,c_0_333]) ).
cnf(c_0_335,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(spm,[status(thm)],[c_0_334,c_0_306]) ).
cnf(c_0_336,plain,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X1)))),
inference(ef,[status(thm)],[c_0_303]) ).
cnf(c_0_337,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
i_0_5 ).
cnf(c_0_338,plain,
s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))) = s(tyop_2Eextreal_2Eextreal,esk6_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_335]),c_0_310]) ).
cnf(c_0_339,plain,
s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X1))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_298]),c_0_337]) ).
cnf(c_0_340,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk6_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_338]),c_0_339]),c_0_322])]) ).
cnf(c_0_341,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
i_0_80 ).
cnf(c_0_342,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_338])]),c_0_340])]) ).
cnf(c_0_343,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk6_0))))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(spm,[status(thm)],[c_0_318,c_0_341]) ).
cnf(c_0_344,plain,
s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),
inference(spm,[status(thm)],[c_0_342,c_0_315]) ).
cnf(c_0_345,plain,
( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk4_0))))
| s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk6_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_343,c_0_338]),c_0_344]),c_0_337]) ).
cnf(c_0_346,plain,
s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk5_0),s(tyop_2Eextreal_2Eextreal,esk4_0))) = s(tyop_2Eextreal_2Eextreal,esk5_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_344]),c_0_299]) ).
cnf(c_0_347,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_344]),c_0_335])]),c_0_337]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP021+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n023.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 3 06:58:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 11.88/2.96 # ENIGMATIC: Solved by autoschedule:
% 11.88/2.96 # No SInE strategy applied
% 11.88/2.96 # Trying AutoSched0 for 150 seconds
% 11.88/2.96 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SP_PI_S0Y
% 11.88/2.96 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.88/2.96 #
% 11.88/2.96 # Preprocessing time : 0.024 s
% 11.88/2.96
% 11.88/2.96 # Proof found!
% 11.88/2.96 # SZS status Theorem
% 11.88/2.96 # SZS output start CNFRefutation
% See solution above
% 11.88/2.96 # Training examples: 0 positive, 0 negative
% 11.88/2.96
% 11.88/2.96 # -------------------------------------------------
% 11.88/2.96 # User time : 0.416 s
% 11.88/2.96 # System time : 0.015 s
% 11.88/2.96 # Total time : 0.431 s
% 11.88/2.96 # Maximum resident set size: 7124 pages
% 11.88/2.96
%------------------------------------------------------------------------------