TSTP Solution File: ITP013_4 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP013_4 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 : Mon May 20 22:18:49 EDT 2024
% Result : Theorem 136.65s 21.22s
% Output : CNFRefutation 136.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 30
% Syntax : Number of formulae : 47 ( 11 unt; 25 typ; 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 types : 6 ( 5 usr)
% Number of type conns : 22 ( 13 >; 9 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
d: $tType ).
tff(decl_sort2,type,
u: $tType ).
tff(decl_sort3,type,
du: $tType ).
tff(decl_sort4,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(decl_sort5,type,
mono_2Etyop_2Enum_2Enum: $tType ).
tff(decl_22,type,
tyop_2Emin_2Ebool: d ).
tff(decl_24,type,
s: ( d * u ) > du ).
tff(decl_26,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(decl_52,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_53,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_58,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(decl_75,type,
c_2Ebool_2ECOND_2E3: ( du * du * du ) > u ).
tff(decl_207,type,
tyop_2Enum_2Enum: d ).
tff(decl_249,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
tff(decl_677,type,
mono_2Ec_2Earithmetic_2E_2B_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(decl_683,type,
mono_2Ec_2Earithmetic_2E_2D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(decl_685,type,
mono_2Ec_2Earithmetic_2E_3C_3D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_2785,type,
tyop_2Efcp_2Ecart: ( d * d ) > d ).
tff(decl_5841,type,
c_2Ewords_2En2w_2E1: du > u ).
tff(decl_5884,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
tff(decl_5892,type,
c_2Ewords_2Eword__add_2E2: ( du * du ) > u ).
tff(decl_6005,type,
c_2Ewords_2Eword__sub_2E2: ( du * du ) > u ).
tff(decl_6193,type,
esk1_0: d ).
tff(decl_6194,type,
esk2_0: mono_2Etyop_2Enum_2Enum ).
tff(decl_6195,type,
esk3_0: mono_2Etyop_2Enum_2Enum ).
tff(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X8 )
<=> p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X8) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003_4.ax',thm_2Ebool_2EEQ__CLAUSES) ).
tff(thm_2Ewords_2En2w__sub,conjecture,
! [X1: d,X36886: mono_2Etyop_2Enum_2Enum,X36887: mono_2Etyop_2Enum_2Enum] :
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X36887,X36886))
=> ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X36886,X36887))))) = 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,i_mono_2Etyop_2Enum_2Enum(X36886)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X36887)))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).
tff(thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
! [X1: d,X2: d] :
( ! [X36883: mono_2Etyop_2Enum_2Enum,X616: mono_2Etyop_2Enum_2Enum] : ( 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,i_mono_2Etyop_2Enum_2Enum(X36883)))))),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,i_mono_2Etyop_2Enum_2Enum(X616)))))))) = 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,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2B_2E2(X36883,X616))))))) )
& ! [X36884: mono_2Etyop_2Enum_2Enum,X1263: mono_2Etyop_2Enum_2Enum] : ( 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,i_mono_2Etyop_2Enum_2Enum(X36884)))),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,i_mono_2Etyop_2Enum_2Enum(X1263)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X1263,X36884))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X36884,X1263))))),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,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X1263,X36884))))))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
tff(thm_2Ewords_2Eword__sub__def,axiom,
! [X1: d,X36499: u,X25781: u] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X36499),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X25781))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X36499),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X25781))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).
tff(thm_2Ebool_2ECOND__CLAUSES,axiom,
! [X1: d,X144: u,X145: u] :
( ( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X1,X144),s(X1,X145))) = s(X1,X144) )
& ( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X1,X144),s(X1,X145))) = s(X1,X145) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003_4.ax',thm_2Ebool_2ECOND__CLAUSES) ).
tff(c_0_5,plain,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 = X8 )
<=> p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
<=> p(X8) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 = X8 )
<=> ~ p(X8) )
& ( ( X8 = mono_2Ec_2Ebool_2EF_2E0 )
<=> ~ p(X8) ) ),
inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
tff(c_0_6,negated_conjecture,
~ ! [X1: d,X36886: mono_2Etyop_2Enum_2Enum,X36887: mono_2Etyop_2Enum_2Enum] :
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X36887,X36886))
=> ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X36886,X36887))))) = 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,i_mono_2Etyop_2Enum_2Enum(X36886)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X36887)))))) ) ),
inference(assume_negation,[status(cth)],[thm_2Ewords_2En2w__sub]) ).
tff(c_0_7,plain,
! [X38228: d,X38229: d,X38230: mono_2Etyop_2Enum_2Enum,X38231: mono_2Etyop_2Enum_2Enum,X38232: mono_2Etyop_2Enum_2Enum,X38233: mono_2Etyop_2Enum_2Enum] :
( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38228),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38228),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38228),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X38230)))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38228),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38228),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X38231)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38228),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38228),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2B_2E2(X38230,X38231))))))) )
& ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38229),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38229),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X38232)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38229),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38229),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X38233)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38229),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X38233,X38232))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38229),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X38232,X38233))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38229),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X38229),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X38233,X38232))))))))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Ewords_2EWORD__LITERAL__ADD])]) ).
tff(c_0_8,plain,
! [X36913: d,X36914: u,X36915: u] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36913),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36913),X36914),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36913),X36915))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36913),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36913),X36914),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36913),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X36913),X36915))))) ),
inference(variable_rename,[status(thm)],[thm_2Ewords_2Eword__sub__def]) ).
tff(c_0_9,plain,
! [X40476: mono_2Etyop_2Emin_2Ebool] :
( ( ( mono_2Ec_2Ebool_2ET_2E0 != X40476 )
| p(X40476) )
& ( ~ p(X40476)
| ( mono_2Ec_2Ebool_2ET_2E0 = X40476 ) )
& ( ( X40476 != mono_2Ec_2Ebool_2ET_2E0 )
| p(X40476) )
& ( ~ p(X40476)
| ( X40476 = mono_2Ec_2Ebool_2ET_2E0 ) )
& ( ( mono_2Ec_2Ebool_2EF_2E0 != X40476 )
| ~ p(X40476) )
& ( p(X40476)
| ( mono_2Ec_2Ebool_2EF_2E0 = X40476 ) )
& ( ( X40476 != mono_2Ec_2Ebool_2EF_2E0 )
| ~ p(X40476) )
& ( p(X40476)
| ( X40476 = mono_2Ec_2Ebool_2EF_2E0 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
tff(c_0_10,negated_conjecture,
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(esk3_0,esk2_0))
& ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(esk2_0,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,i_mono_2Etyop_2Enum_2Enum(esk2_0)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_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])])])]) ).
tcf(c_0_11,plain,
! [X1: d,X575: mono_2Etyop_2Enum_2Enum,X567: mono_2Etyop_2Enum_2Enum] : 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,i_mono_2Etyop_2Enum_2Enum(X567)))),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,i_mono_2Etyop_2Enum_2Enum(X575)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X575,X567))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X567,X575))))),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,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X575,X567))))))))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_12,plain,
! [X1: d,X3: u,X4: u] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X3),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X4))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X3),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X4))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_13,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = mono_2Ec_2Ebool_2ET_2E0 )
| ~ p(X6) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_14,negated_conjecture,
p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(esk3_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tff(c_0_15,plain,
! [X40477: d,X40478: u,X40479: u] :
( ( s(X40477,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X40477,X40478),s(X40477,X40479))) = s(X40477,X40478) )
& ( s(X40477,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X40477,X40478),s(X40477,X40479))) = s(X40477,X40479) ) ),
inference(variable_rename,[status(thm)],[thm_2Ebool_2ECOND__CLAUSES]) ).
tcf(c_0_16,plain,
! [X1: d,X575: mono_2Etyop_2Enum_2Enum,X567: mono_2Etyop_2Enum_2Enum] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X567,X575))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X575,X567))))),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,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X567,X575))))))))) = 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,i_mono_2Etyop_2Enum_2Enum(X575)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X567)))))),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
tcf(c_0_17,negated_conjecture,
mono_2Ec_2Earithmetic_2E_3C_3D_2E2(esk3_0,esk2_0) = mono_2Ec_2Ebool_2ET_2E0,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
tcf(c_0_18,plain,
! [X1: d,X4: u,X3: u] : s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X1,X3),s(X1,X4))) = s(X1,X3),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_19,negated_conjecture,
! [X1: d] : 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,i_mono_2Etyop_2Enum_2Enum(esk2_0)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(esk3_0)))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(esk2_0,esk3_0))))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
tcf(c_0_20,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(esk2_0,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,i_mono_2Etyop_2Enum_2Enum(esk2_0)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(esk3_0)))))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ITP013_4 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat May 18 16:30:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order model finding
% 0.18/0.46 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 136.65/21.22 # Version: 3.1.0
% 136.65/21.22 # Preprocessing class: FMLLSMLLSSSNFFN.
% 136.65/21.22 # Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 136.65/21.22 # Starting new_bool_3 with 891s (3) cores
% 136.65/21.22 # Starting new_bool_1 with 891s (3) cores
% 136.65/21.22 # Starting sh5l with 297s (1) cores
% 136.65/21.22 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 297s (1) cores
% 136.65/21.22 # new_bool_3 with pid 23379 completed with status 0
% 136.65/21.22 # Result found by new_bool_3
% 136.65/21.22 # Preprocessing class: FMLLSMLLSSSNFFN.
% 136.65/21.22 # Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 136.65/21.22 # Starting new_bool_3 with 891s (3) cores
% 136.65/21.22 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 136.65/21.22 # Search class: FGHSM-SMLM33-DFFFFFNN
% 136.65/21.22 # Scheduled 6 strats onto 3 cores with 891 seconds (891 total)
% 136.65/21.22 # Starting SAT001_MinMin_p005000_rr with 482s (1) cores
% 136.65/21.22 # Starting new_bool_3 with 90s (1) cores
% 136.65/21.22 # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 136.65/21.22 # SAT001_MinMin_p005000_rr with pid 23383 completed with status 0
% 136.65/21.22 # Result found by SAT001_MinMin_p005000_rr
% 136.65/21.22 # Preprocessing class: FMLLSMLLSSSNFFN.
% 136.65/21.22 # Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 136.65/21.22 # Starting new_bool_3 with 891s (3) cores
% 136.65/21.22 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 136.65/21.22 # Search class: FGHSM-SMLM33-DFFFFFNN
% 136.65/21.22 # Scheduled 6 strats onto 3 cores with 891 seconds (891 total)
% 136.65/21.22 # Starting SAT001_MinMin_p005000_rr with 482s (1) cores
% 136.65/21.22 # Preprocessing time : 0.144 s
% 136.65/21.22 # Presaturation interreduction done
% 136.65/21.22 # SatCheck found unsatisfiable ground set
% 136.65/21.22
% 136.65/21.22 # Proof found!
% 136.65/21.22 # SZS status Theorem
% 136.65/21.22 # SZS output start CNFRefutation
% See solution above
% 136.65/21.22 # Parsed axioms : 41106
% 136.65/21.22 # Removed by relevancy pruning/SinE : 38958
% 136.65/21.22 # Initial clauses : 4530
% 136.65/21.22 # Removed in clause preprocessing : 879
% 136.65/21.22 # Initial clauses in saturation : 3651
% 136.65/21.22 # Processed clauses : 20639
% 136.65/21.22 # ...of these trivial : 1201
% 136.65/21.22 # ...subsumed : 14438
% 136.65/21.22 # ...remaining for further processing : 5000
% 136.65/21.22 # Other redundant clauses eliminated : 939
% 136.65/21.22 # Clauses deleted for lack of memory : 0
% 136.65/21.22 # Backward-subsumed : 140
% 136.65/21.22 # Backward-rewritten : 111
% 136.65/21.22 # Generated clauses : 280144
% 136.65/21.22 # ...of the previous two non-redundant : 238262
% 136.65/21.22 # ...aggressively subsumed : 0
% 136.65/21.22 # Contextual simplify-reflections : 27
% 136.65/21.22 # Paramodulations : 279019
% 136.65/21.22 # Factorizations : 35
% 136.65/21.22 # NegExts : 0
% 136.65/21.22 # Equation resolutions : 1099
% 136.65/21.22 # Disequality decompositions : 0
% 136.65/21.22 # Total rewrite steps : 86349
% 136.65/21.22 # ...of those cached : 66038
% 136.65/21.22 # Propositional unsat checks : 1
% 136.65/21.22 # Propositional check models : 0
% 136.65/21.22 # Propositional check unsatisfiable : 1
% 136.65/21.22 # Propositional clauses : 225608
% 136.65/21.22 # Propositional clauses after purity: 29607
% 136.65/21.22 # Propositional unsat core size : 2
% 136.65/21.22 # Propositional preprocessing time : 0.000
% 136.65/21.22 # Propositional encoding time : 2.577
% 136.65/21.22 # Propositional solver time : 0.049
% 136.65/21.22 # Success case prop preproc time : 0.000
% 136.65/21.22 # Success case prop encoding time : 2.577
% 136.65/21.22 # Success case prop solver time : 0.049
% 136.65/21.22 # Current number of processed clauses : 3021
% 136.65/21.22 # Positive orientable unit clauses : 330
% 136.65/21.22 # Positive unorientable unit clauses: 25
% 136.65/21.22 # Negative unit clauses : 390
% 136.65/21.22 # Non-unit-clauses : 2276
% 136.65/21.22 # Current number of unprocessed clauses: 222587
% 136.65/21.22 # ...number of literals in the above : 944375
% 136.65/21.22 # Current number of archived formulas : 0
% 136.65/21.22 # Current number of archived clauses : 1894
% 136.65/21.22 # Clause-clause subsumption calls (NU) : 4304423
% 136.65/21.22 # Rec. Clause-clause subsumption calls : 582133
% 136.65/21.22 # Non-unit clause-clause subsumptions : 8224
% 136.65/21.22 # Unit Clause-clause subsumption calls : 42285
% 136.65/21.22 # Rewrite failures with RHS unbound : 18
% 136.65/21.22 # BW rewrite match attempts : 4181
% 136.65/21.22 # BW rewrite match successes : 477
% 136.65/21.22 # Condensation attempts : 0
% 136.65/21.22 # Condensation successes : 0
% 136.65/21.22 # Termbank termtop insertions : 38955937
% 136.65/21.22 # Search garbage collected termcells : 379552
% 136.65/21.22
% 136.65/21.22 # -------------------------------------------------
% 136.65/21.22 # User time : 16.523 s
% 136.65/21.22 # System time : 0.502 s
% 136.65/21.22 # Total time : 17.025 s
% 136.65/21.22 # Maximum resident set size: 85844 pages
% 136.65/21.22
% 136.65/21.22 # -------------------------------------------------
% 136.65/21.22 # User time : 51.546 s
% 136.65/21.22 # System time : 1.030 s
% 136.65/21.22 # Total time : 52.576 s
% 136.65/21.22 # Maximum resident set size: 74024 pages
% 136.65/21.22 % E---3.1 exiting
%------------------------------------------------------------------------------