TSTP Solution File: ITP013+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP013+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 : Sat May 4 08:08:52 EDT 2024
% Result : Theorem 0.21s 0.53s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 59 ( 37 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 53 ( 16 ~; 9 |; 18 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 51 ( 1 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [X8] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
file('/export/starexec/sandbox/tmp/tmp.MbebtEMsCi/E---3.1_7219.p',thm_2Ebool_2EEQ__CLAUSES) ).
fof(thm_2Ewords_2En2w__sub,conjecture,
! [X1,X35,X36] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X36),s(tyop_2Enum_2Enum,X35))))
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X35),s(tyop_2Enum_2Enum,X36))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X35))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X36))))) ),
file('/export/starexec/sandbox/tmp/tmp.MbebtEMsCi/E---3.1_7219.p',thm_2Ewords_2En2w__sub) ).
fof(thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
! [X1,X2] :
( ! [X31,X32] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X31))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X32))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X31),s(tyop_2Enum_2Enum,X32)))))))
& ! [X33,X34] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X33))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X34))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X34),s(tyop_2Enum_2Enum,X33))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X33),s(tyop_2Enum_2Enum,X34))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X34),s(tyop_2Enum_2Enum,X33))))))))) ),
file('/export/starexec/sandbox/tmp/tmp.MbebtEMsCi/E---3.1_7219.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
fof(thm_2Ewords_2Eword__sub__def,axiom,
! [X1,X29,X30] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X29),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X30))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X29),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X30))))),
file('/export/starexec/sandbox/tmp/tmp.MbebtEMsCi/E---3.1_7219.p',thm_2Ewords_2Eword__sub__def) ).
fof(thm_2Ebool_2Ebool__case__thm,axiom,
! [X1] :
( ! [X16,X17] : s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X16),s(X1,X17))) = s(X1,X16)
& ! [X27,X28] : s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X27),s(X1,X28))) = s(X1,X28) ),
file('/export/starexec/sandbox/tmp/tmp.MbebtEMsCi/E---3.1_7219.p',thm_2Ebool_2Ebool__case__thm) ).
fof(c_0_5,plain,
! [X8] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
& ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X35,X36] :
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X36),s(tyop_2Enum_2Enum,X35))))
=> s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X35),s(tyop_2Enum_2Enum,X36))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X35))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X36))))) ),
inference(assume_negation,[status(cth)],[thm_2Ewords_2En2w__sub]) ).
fof(c_0_7,plain,
! [X46,X47,X48,X49,X50,X51] :
( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X46),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X46),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X46),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X48))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X46),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X46),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X49))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X46),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X46),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2B_2E2(s(tyop_2Enum_2Enum,X48),s(tyop_2Enum_2Enum,X49)))))))
& s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X47),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X47),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X50))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X47),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X47),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X51))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X47),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X51),s(tyop_2Enum_2Enum,X50))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X47),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X50),s(tyop_2Enum_2Enum,X51))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X47),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X47),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X51),s(tyop_2Enum_2Enum,X50))))))))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Ewords_2EWORD__LITERAL__ADD])]) ).
fof(c_0_8,plain,
! [X43,X44,X45] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X43),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X43),X44),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X43),X45))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X43),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X43),X44),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X43),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X43),X45))))),
inference(variable_rename,[status(thm)],[thm_2Ewords_2Eword__sub__def]) ).
fof(c_0_9,plain,
! [X75] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X75)
| p(s(tyop_2Emin_2Ebool,X75)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X75))
| s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X75) )
& ( s(tyop_2Emin_2Ebool,X75) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,X75)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X75))
| s(tyop_2Emin_2Ebool,X75) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X75)
| ~ p(s(tyop_2Emin_2Ebool,X75)) )
& ( p(s(tyop_2Emin_2Ebool,X75))
| s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X75) )
& ( s(tyop_2Emin_2Ebool,X75) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X75)) )
& ( p(s(tyop_2Emin_2Ebool,X75))
| s(tyop_2Emin_2Ebool,X75) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_10,negated_conjecture,
( p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,esk3_0),s(tyop_2Enum_2Enum,esk2_0))))
& s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,esk2_0),s(tyop_2Enum_2Enum,esk3_0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk2_0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk3_0))))) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_11,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))))))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X3))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X2),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X3))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
p(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,esk3_0),s(tyop_2Enum_2Enum,esk2_0)))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X68,X69,X70,X71,X72] :
( s(X68,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X68,X69),s(X68,X70))) = s(X68,X69)
& s(X68,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X68,X71),s(X68,X72))) = s(X68,X72) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Ebool_2Ebool__case__thm])]) ).
cnf(c_0_16,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X3),s(tyop_2Enum_2Enum,X2))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,X2),s(tyop_2Enum_2Enum,X3))))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X3))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,X2))))),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Earithmetic_2E_3C_3D_2E2(s(tyop_2Enum_2Enum,esk3_0),s(tyop_2Enum_2Enum,esk2_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X2),s(X1,X3))) = s(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,esk2_0),s(tyop_2Enum_2Enum,esk3_0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk2_0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk3_0))))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk2_0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,esk3_0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Earithmetic_2E_2D_2E2(s(tyop_2Enum_2Enum,esk2_0),s(tyop_2Enum_2Enum,esk3_0))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP013+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n006.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 : Fri May 3 12:34:19 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.MbebtEMsCi/E---3.1_7219.p
% 0.21/0.53 # Version: 3.1.0
% 0.21/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53 # Starting sh5l with 300s (1) cores
% 0.21/0.53 # new_bool_3 with pid 7302 completed with status 0
% 0.21/0.53 # Result found by new_bool_3
% 0.21/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.53 # Search class: FGHSM-FFMM31-DFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 100s (1) cores
% 0.21/0.53 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 7305 completed with status 0
% 0.21/0.53 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.53 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.53 # Search class: FGHSM-FFMM31-DFFFFFNN
% 0.21/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.53 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 100s (1) cores
% 0.21/0.53 # Preprocessing time : 0.002 s
% 0.21/0.53 # Presaturation interreduction done
% 0.21/0.53
% 0.21/0.53 # Proof found!
% 0.21/0.53 # SZS status Theorem
% 0.21/0.53 # SZS output start CNFRefutation
% See solution above
% 0.21/0.53 # Parsed axioms : 46
% 0.21/0.53 # Removed by relevancy pruning/SinE : 30
% 0.21/0.53 # Initial clauses : 56
% 0.21/0.53 # Removed in clause preprocessing : 25
% 0.21/0.53 # Initial clauses in saturation : 31
% 0.21/0.53 # Processed clauses : 314
% 0.21/0.53 # ...of these trivial : 12
% 0.21/0.53 # ...subsumed : 245
% 0.21/0.53 # ...remaining for further processing : 57
% 0.21/0.53 # Other redundant clauses eliminated : 0
% 0.21/0.53 # Clauses deleted for lack of memory : 0
% 0.21/0.53 # Backward-subsumed : 0
% 0.21/0.53 # Backward-rewritten : 3
% 0.21/0.53 # Generated clauses : 908
% 0.21/0.53 # ...of the previous two non-redundant : 638
% 0.21/0.53 # ...aggressively subsumed : 0
% 0.21/0.53 # Contextual simplify-reflections : 0
% 0.21/0.53 # Paramodulations : 867
% 0.21/0.53 # Factorizations : 32
% 0.21/0.53 # NegExts : 0
% 0.21/0.53 # Equation resolutions : 9
% 0.21/0.53 # Disequality decompositions : 0
% 0.21/0.53 # Total rewrite steps : 274
% 0.21/0.53 # ...of those cached : 185
% 0.21/0.53 # Propositional unsat checks : 0
% 0.21/0.53 # Propositional check models : 0
% 0.21/0.53 # Propositional check unsatisfiable : 0
% 0.21/0.53 # Propositional clauses : 0
% 0.21/0.53 # Propositional clauses after purity: 0
% 0.21/0.53 # Propositional unsat core size : 0
% 0.21/0.53 # Propositional preprocessing time : 0.000
% 0.21/0.53 # Propositional encoding time : 0.000
% 0.21/0.53 # Propositional solver time : 0.000
% 0.21/0.53 # Success case prop preproc time : 0.000
% 0.21/0.53 # Success case prop encoding time : 0.000
% 0.21/0.53 # Success case prop solver time : 0.000
% 0.21/0.53 # Current number of processed clauses : 36
% 0.21/0.53 # Positive orientable unit clauses : 8
% 0.21/0.53 # Positive unorientable unit clauses: 0
% 0.21/0.53 # Negative unit clauses : 2
% 0.21/0.53 # Non-unit-clauses : 26
% 0.21/0.53 # Current number of unprocessed clauses: 373
% 0.21/0.53 # ...number of literals in the above : 1686
% 0.21/0.53 # Current number of archived formulas : 0
% 0.21/0.53 # Current number of archived clauses : 21
% 0.21/0.53 # Clause-clause subsumption calls (NU) : 1002
% 0.21/0.53 # Rec. Clause-clause subsumption calls : 572
% 0.21/0.53 # Non-unit clause-clause subsumptions : 213
% 0.21/0.53 # Unit Clause-clause subsumption calls : 3
% 0.21/0.53 # Rewrite failures with RHS unbound : 0
% 0.21/0.53 # BW rewrite match attempts : 13
% 0.21/0.53 # BW rewrite match successes : 2
% 0.21/0.53 # Condensation attempts : 0
% 0.21/0.53 # Condensation successes : 0
% 0.21/0.53 # Termbank termtop insertions : 23282
% 0.21/0.53 # Search garbage collected termcells : 919
% 0.21/0.53
% 0.21/0.53 # -------------------------------------------------
% 0.21/0.53 # User time : 0.024 s
% 0.21/0.53 # System time : 0.003 s
% 0.21/0.53 # Total time : 0.026 s
% 0.21/0.53 # Maximum resident set size: 1904 pages
% 0.21/0.53
% 0.21/0.53 # -------------------------------------------------
% 0.21/0.53 # User time : 0.028 s
% 0.21/0.53 # System time : 0.004 s
% 0.21/0.53 # Total time : 0.032 s
% 0.21/0.53 # Maximum resident set size: 1812 pages
% 0.21/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------