%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP015_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:53:42 PM UTC 2026
% Result : Theorem 28.90s 18.25s
% Output : CNFRefutation 28.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 62 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 28 ( 4 ~; 0 |; 24 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of types : 6 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 10 con; 0-3 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
u: $tType ).
tff(decl_sort2,type,
d: $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_sort6,type,
mono_2Etyop_2Einteger_2Eint: $tType ).
tff(decl_23,type,
tyop_2Emin_2Ebool: d ).
tff(decl_25,type,
s: ( u * d ) > du ).
tff(decl_28,type,
combin_i_2E0: u ).
tff(decl_53,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_54,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_59,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(decl_65,type,
tyop_2Ebool_2Eitself: d > d ).
tff(decl_76,type,
c_2Ebool_2ECOND_2E3: ( du * ( du * du ) ) > u ).
tff(decl_104,type,
c_2Ebool_2Ethe__value_2E0: u ).
tff(decl_208,type,
tyop_2Enum_2Enum: d ).
tff(decl_229,type,
mono_2Ec_2Enum_2E0_2E0: mono_2Etyop_2Enum_2Enum ).
tff(decl_250,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
tff(decl_258,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
tff(decl_554,type,
mono_2Ec_2Eprim__rec_2E_3C_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_684,type,
mono_2Ec_2Earithmetic_2E_2D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(decl_694,type,
mono_2Ec_2Earithmetic_2EBIT1_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
tff(decl_696,type,
mono_2Ec_2Earithmetic_2EBIT2_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
tff(decl_708,type,
mono_2Ec_2Earithmetic_2EEXP_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(decl_722,type,
mono_2Ec_2Earithmetic_2EMOD_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(decl_726,type,
mono_2Ec_2Earithmetic_2ENUMERAL_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
tff(decl_747,type,
mono_2Ec_2Earithmetic_2EZERO_2E0: mono_2Etyop_2Enum_2Enum ).
tff(decl_2786,type,
tyop_2Efcp_2Ecart: ( d * d ) > d ).
tff(decl_2839,type,
c_2Efcp_2Edimindex_2E1: du > u ).
tff(decl_5199,type,
tyop_2Einteger_2Eint: d ).
tff(decl_5297,type,
mono_2Ec_2Einteger_2ENum_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ).
tff(decl_5328,type,
mono_2Ec_2Einteger_2Eint__lt_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_5338,type,
mono_2Ec_2Einteger_2Eint__neg_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
tff(decl_5340,type,
mono_2Ec_2Einteger_2Eint__of__num_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).
tff(decl_5383,type,
i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).
tff(decl_5837,type,
c_2Ewords_2Edimword_2E1: du > u ).
tff(decl_5842,type,
c_2Ewords_2En2w_2E1: du > u ).
tff(decl_5887,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
tff(decl_8331,type,
c_2Einteger__word_2Ei2w_2E1: du > u ).
tff(decl_8405,type,
esk1_0: d ).
tff(thm_2Ewords_2Edimword__def,axiom,
! [X1: d] : ( j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(X1),c_2Ebool_2Ethe__value_2E0)))) = mono_2Ec_2Earithmetic_2EEXP_2E2(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)),j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(X1),c_2Ebool_2Ethe__value_2E0))))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP090_4.ax',thm_2Ewords_2Edimword__def) ).
tff(thm_2Ebool_2EITSELF__UNIQUE,axiom,
! [X1: d,X266: u] : ( s(tyop_2Ebool_2Eitself(X1),X266) = s(tyop_2Ebool_2Eitself(X1),c_2Ebool_2Ethe__value_2E0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003_4.ax',thm_2Ebool_2EITSELF__UNIQUE) ).
tff(thm_2Earithmetic_2ENUMERAL__DEF,axiom,
! [X1647: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X1647) = X1647 ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP016_4.ax',thm_2Earithmetic_2ENUMERAL__DEF) ).
tff(thm_2Einteger__word_2Ei2w__0,conjecture,
! [X1: d] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Enum_2E0_2E0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__0) ).
tff(thm_2Ewords_2Eword__2comp__n2w,axiom,
! [X1: d,X614: mono_2Etyop_2Enum_2Enum] : ( 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(X614)))))) = 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(j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(X1),c_2Ebool_2Ethe__value_2E0)))),mono_2Ec_2Earithmetic_2EMOD_2E2(X614,j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(X1),c_2Ebool_2Ethe__value_2E0)))))))))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP090_4.ax',thm_2Ewords_2Eword__2comp__n2w) ).
tff(thm_2Einteger__word_2Ei2w__def,axiom,
! [X1: d,X45152: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(X45152)))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Einteger_2Eint__lt_2E2(X45152,mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))),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_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__neg_2E1(X45152)))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Einteger_2ENum_2E1(X45152))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__def) ).
tff(thm_2Einteger_2EINT__LT__REDUCE,axiom,
! [X614: mono_2Etyop_2Enum_2Enum,X34628: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X614))),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X34628)))) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X34628,X614) )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X614)),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X34628)))) = mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(X614)))),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X34628))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(X614)))),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X34628))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X614)),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X34628))) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X614,X34628) )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(X614)))),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ebool_2ET_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(X614)))),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ebool_2ET_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X614)),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X614)))) = mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(X614)))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(X614)))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP085_4.ax',thm_2Einteger_2EINT__LT__REDUCE) ).
tff(thm_2Earithmetic_2EALT__ZERO,axiom,
mono_2Ec_2Earithmetic_2EZERO_2E0 = mono_2Ec_2Enum_2E0_2E0,
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP016_4.ax',thm_2Earithmetic_2EALT__ZERO) ).
tff(thm_2Einteger_2EINT__NEG__0,axiom,
mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP085_4.ax',thm_2Einteger_2EINT__NEG__0) ).
tff(thm_2Einteger_2ENUM__OF__INT,axiom,
! [X614: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X614)) = X614 ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP085_4.ax',thm_2Einteger_2ENUM__OF__INT) ).
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_2EF_2E0)),s(X1,X144),s(X1,X145))) = s(X1,X145) )
& ( 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) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP003_4.ax',thm_2Ebool_2ECOND__CLAUSES) ).
tff(c_0_11,plain,
! [X47387: d] : ( j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(X47387),c_2Ebool_2Ethe__value_2E0)))) = mono_2Ec_2Earithmetic_2EEXP_2E2(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)),j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(X47387),c_2Ebool_2Ethe__value_2E0))))) ),
inference(variable_rename,[status(thm)],[thm_2Ewords_2Edimword__def]) ).
tff(c_0_12,plain,
! [X45427: d,X45428: u] : ( s(tyop_2Ebool_2Eitself(X45427),X45428) = s(tyop_2Ebool_2Eitself(X45427),c_2Ebool_2Ethe__value_2E0) ),
inference(variable_rename,[status(thm)],[thm_2Ebool_2EITSELF__UNIQUE]) ).
tff(c_0_13,plain,
! [X45268: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X45268) = X45268 ),
inference(variable_rename,[status(thm)],[thm_2Earithmetic_2ENUMERAL__DEF]) ).
tff(c_0_14,negated_conjecture,
~ ! [X1: d] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Enum_2E0_2E0)))) ),
inference(assume_negation,[status(cth)],[thm_2Einteger__word_2Ei2w__0]) ).
tff(c_0_15,plain,
! [X46711: d,X46712: mono_2Etyop_2Enum_2Enum] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X46711),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X46711),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X46712)))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X46711),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(X46711),c_2Ebool_2Ethe__value_2E0)))),mono_2Ec_2Earithmetic_2EMOD_2E2(X46712,j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(X46711),c_2Ebool_2Ethe__value_2E0)))))))))) ),
inference(variable_rename,[status(thm)],[thm_2Ewords_2Eword__2comp__n2w]) ).
tcf(c_0_16,plain,
! [X1: d] : j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(X1),c_2Ebool_2Ethe__value_2E0)))) = mono_2Ec_2Earithmetic_2EEXP_2E2(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)),j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(X1),c_2Ebool_2Ethe__value_2E0))))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_17,plain,
! [X3: u,X1: d] : s(tyop_2Ebool_2Eitself(X1),X3) = s(tyop_2Ebool_2Eitself(X1),c_2Ebool_2Ethe__value_2E0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
tcf(c_0_18,plain,
! [X567: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X567) = X567,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tff(c_0_19,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Enum_2E0_2E0)))),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
tff(c_0_20,plain,
! [X45228: d,X45229: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X45228),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(X45229)))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X45228),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Einteger_2Eint__lt_2E2(X45229,mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X45228),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X45228),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__neg_2E1(X45229)))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X45228),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Einteger_2ENum_2E1(X45229))))))) ),
inference(variable_rename,[status(thm)],[thm_2Einteger__word_2Ei2w__def]) ).
tcf(c_0_21,plain,
! [X567: mono_2Etyop_2Enum_2Enum,X1: d] : 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(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(j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(X1),c_2Ebool_2Ethe__value_2E0)))),mono_2Ec_2Earithmetic_2EMOD_2E2(X567,j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(X1),c_2Ebool_2Ethe__value_2E0)))))))))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_22,plain,
! [X1: d] : j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Ewords_2Edimword_2E1(s(tyop_2Ebool_2Eitself(X1),combin_i_2E0)))) = mono_2Ec_2Earithmetic_2EEXP_2E2(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0),j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(X1),combin_i_2E0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_17]) ).
tff(c_0_23,plain,
! [X46826: mono_2Etyop_2Enum_2Enum,X46827: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X46826))),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X46827)))) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X46827,X46826) )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X46826)),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X46827)))) = mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(X46826)))),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X46827))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(X46826)))),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X46827))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X46826)),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X46827))) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X46826,X46827) )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(X46826)))),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ebool_2ET_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(X46826)))),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ebool_2ET_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X46826)),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X46826)))) = mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ebool_2EF_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT2_2E1(X46826)))) = mono_2Ec_2Ebool_2ET_2E0 )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(mono_2Ec_2Earithmetic_2EBIT1_2E1(X46826)))) = mono_2Ec_2Ebool_2ET_2E0 ) ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2EINT__LT__REDUCE]) ).
tcf(c_0_24,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Enum_2E0_2E0)))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
tcf(c_0_25,plain,
mono_2Ec_2Earithmetic_2EZERO_2E0 = mono_2Ec_2Enum_2E0_2E0,
inference(split_conjunct,[status(thm)],[thm_2Earithmetic_2EALT__ZERO]) ).
tcf(c_0_26,plain,
! [X1: d,X33714: mono_2Etyop_2Einteger_2Eint] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(X33714)))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Einteger_2Eint__lt_2E2(X33714,mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))),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_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__neg_2E1(X33714)))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Einteger_2ENum_2E1(X33714))))))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
tcf(c_0_27,plain,
! [X567: mono_2Etyop_2Enum_2Enum,X1: d] : 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(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(mono_2Ec_2Earithmetic_2EEXP_2E2(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0),j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(X1),combin_i_2E0))))),mono_2Ec_2Earithmetic_2EMOD_2E2(X567,mono_2Ec_2Earithmetic_2EEXP_2E2(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0),j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(X1),combin_i_2E0))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_17]),c_0_22]),c_0_17]),c_0_22]) ).
tcf(c_0_28,plain,
! [X567: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2ENUMERAL_2E1(X567)),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Ebool_2EF_2E0,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
tcf(c_0_29,plain,
mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0),
inference(split_conjunct,[status(thm)],[thm_2Einteger_2EINT__NEG__0]) ).
tff(c_0_30,plain,
! [X46695: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X46695)) = X46695 ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2ENUM__OF__INT]) ).
tff(c_0_31,plain,
! [X46625: d,X46626: u,X46627: u] :
( ( s(X46625,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X46625,X46626),s(X46625,X46627))) = s(X46625,X46627) )
& ( s(X46625,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X46625,X46626),s(X46625,X46627))) = s(X46625,X46626) ) ),
inference(variable_rename,[status(thm)],[thm_2Ebool_2ECOND__CLAUSES]) ).
tcf(c_0_32,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0))))) != 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_2EZERO_2E0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]) ).
tcf(c_0_33,plain,
! [X1: d,X33714: mono_2Etyop_2Einteger_2Eint] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(X33714)))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Einteger_2Eint__lt_2E2(X33714,mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)))),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(mono_2Ec_2Earithmetic_2EEXP_2E2(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0),j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(X1),combin_i_2E0))))),mono_2Ec_2Earithmetic_2EMOD_2E2(mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__neg_2E1(X33714)),mono_2Ec_2Earithmetic_2EEXP_2E2(mono_2Ec_2Earithmetic_2EBIT2_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0),j_mono_2Etyop_2Enum_2Enum(s(tyop_2Enum_2Enum,c_2Efcp_2Edimindex_2E1(s(tyop_2Ebool_2Eitself(X1),combin_i_2E0))))))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Einteger_2ENum_2E1(X33714))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_25]),c_0_27]) ).
tcf(c_0_34,plain,
! [X567: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(X567),mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)) = mono_2Ec_2Ebool_2EF_2E0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_18]),c_0_25]) ).
tcf(c_0_35,plain,
mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0)) = mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Earithmetic_2EZERO_2E0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_25]),c_0_25]) ).
tcf(c_0_36,plain,
! [X567: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X567)) = X567,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
tcf(c_0_37,plain,
! [X1: d,X3: u,X4: u] : s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X1,X3),s(X1,X4))) = s(X1,X4),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ITP015_4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n014.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Sun Sep 20 21:48:36 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.55 Running first-order theorem proving
% 0.25/0.55 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.90/18.25 % Version: 3.5.1
% 28.90/18.25 % Preprocessing class: FMLLSMLLSSSNFFN.
% 28.90/18.25 % Scheduled 4 strats onto 8 cores with 287 seconds (2296 total)
% 28.90/18.25 % Starting new_bool_3 with 861s (3) cores
% 28.90/18.25 % Starting new_bool_1 with 861s (3) cores
% 28.90/18.25 % Starting sh5l with 287s (1) cores
% 28.90/18.25 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 287s (1) cores
% 28.90/18.25 % new_bool_1 with pid 2399100 completed with status 0
% 28.90/18.25 % Result found by new_bool_1
% 28.90/18.25 % Preprocessing class: FMLLSMLLSSSNFFN.
% 28.90/18.25 % Scheduled 4 strats onto 8 cores with 287 seconds (2296 total)
% 28.90/18.25 % Starting new_bool_3 with 861s (3) cores
% 28.90/18.25 % Starting new_bool_1 with 861s (3) cores
% 28.90/18.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 28.90/18.25 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 28.90/18.25 % Search class: FGHSM-SMLM33-DFFFFFNN
% 28.90/18.25 % Scheduled 7 strats onto 3 cores with 858 seconds (858 total)
% 28.90/18.25 % Starting SubtermCWHack with 78s (1) cores
% 28.90/18.25 % Starting new_bool_1 with 86s (1) cores
% 28.90/18.25 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 78s (1) cores
% 28.90/18.25 % U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 2399105 completed with status 0
% 28.90/18.25 % Result found by U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 28.90/18.25 % Preprocessing class: FMLLSMLLSSSNFFN.
% 28.90/18.25 % Scheduled 4 strats onto 8 cores with 287 seconds (2296 total)
% 28.90/18.25 % Starting new_bool_3 with 861s (3) cores
% 28.90/18.25 % Starting new_bool_1 with 861s (3) cores
% 28.90/18.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 28.90/18.25 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 28.90/18.25 % Search class: FGHSM-SMLM33-DFFFFFNN
% 28.90/18.25 % Scheduled 7 strats onto 3 cores with 858 seconds (858 total)
% 28.90/18.25 % Starting SubtermCWHack with 78s (1) cores
% 28.90/18.25 % Starting new_bool_1 with 86s (1) cores
% 28.90/18.25 % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 78s (1) cores
% 28.90/18.25 % Preprocessing time : 0.166 s
% 28.90/18.25 % Presaturation interreduction done
% 28.90/18.25
% 28.90/18.25 % Proof found!
% 28.90/18.25 % SZS status Theorem
% 28.90/18.25 % SZS output start CNFRefutation
% See solution above
% 28.90/18.25 % Parsed axioms : 53921
% 28.90/18.25 % Removed by relevancy pruning/SinE : 51525
% 28.90/18.25 % Initial clauses : 5116
% 28.90/18.25 % Removed in clause preprocessing : 917
% 28.90/18.25 % Initial clauses in saturation : 4199
% 28.90/18.25 % Processed clauses : 3361
% 28.90/18.25 % ...of these trivial : 693
% 28.90/18.25 % ...subsumed : 786
% 28.90/18.25 % ...remaining for further processing : 1882
% 28.90/18.25 % Other redundant clauses eliminated : 197
% 28.90/18.25 % Clauses deleted for lack of memory : 0
% 28.90/18.25 % Backward-subsumed : 12
% 28.90/18.25 % Backward-rewritten : 221
% 28.90/18.25 % Generated clauses : 184
% 28.90/18.25 % ...of the previous two non-redundant : 280
% 28.90/18.25 % ...aggressively subsumed : 0
% 28.90/18.25 % Contextual simplify-reflections : 4
% 28.90/18.25 % Paramodulations : 0
% 28.90/18.25 % Factorizations : 0
% 28.90/18.25 % NegExts : 0
% 28.90/18.25 % Equation resolutions : 197
% 28.90/18.25 % Disequality decompositions : 0
% 28.90/18.25 % Total rewrite steps : 5285
% 28.90/18.25 % ...of those cached : 4104
% 28.90/18.25 % Propositional unsat checks : 0
% 28.90/18.25 % Propositional check models : 0
% 28.90/18.25 % Propositional check unsatisfiable : 0
% 28.90/18.25 % Propositional clauses : 0
% 28.90/18.25 % Propositional clauses after purity: 0
% 28.90/18.25 % Propositional unsat core size : 0
% 28.90/18.25 % Propositional preprocessing time : 0.000
% 28.90/18.25 % Propositional encoding time : 0.000
% 28.90/18.25 % Propositional solver time : 0.000
% 28.90/18.25 % Success case prop preproc time : 0.000
% 28.90/18.25 % Success case prop encoding time : 0.000
% 28.90/18.25 % Success case prop solver time : 0.000
% 28.90/18.25 % Current number of processed clauses : 1465
% 28.90/18.25 % Positive orientable unit clauses : 308
% 28.90/18.25 % Positive unorientable unit clauses: 39
% 28.90/18.25 % Negative unit clauses : 26
% 28.90/18.25 % Non-unit-clauses : 1092
% 28.90/18.25 % Current number of unprocessed clauses: 1116
% 28.90/18.25 % ...number of literals in the above : 5774
% 28.90/18.25 % Current number of archived formulas : 0
% 28.90/18.25 % Current number of archived clauses : 233
% 28.90/18.25 % Clause-clause subsumption calls (NU) : 521413
% 28.90/18.25 % Rec. Clause-clause subsumption calls : 190196
% 28.90/18.25 % Non-unit clause-clause subsumptions : 551
% 28.90/18.25 % Unit Clause-clause subsumption calls : 8957
% 28.90/18.25 % Rewrite failures with RHS unbound : 0
% 28.90/18.25 % BW rewrite match attempts : 4509
% 28.90/18.25 % BW rewrite match successes : 502
% 28.90/18.25 % Condensation attempts : 0
% 28.90/18.25 % Condensation successes : 0
% 28.90/18.25 % Termbank termtop insertions : 1646176
% 28.90/18.25 % Search garbage collected termcells : 456487
% 28.90/18.25
% 28.90/18.25 % -------------------------------------------------
% 28.90/18.25 % User time : 3.782 s
% 28.90/18.25 % System time : 0.319 s
% 28.90/18.25 % Total time : 4.101 s
% 28.90/18.25 % Maximum resident set size: 110052 pages
% 28.90/18.25
% 28.90/18.25 % -------------------------------------------------
% 28.90/18.25 % User time : 17.827 s
% 28.90/18.25 % System time : 0.924 s
% 28.90/18.25 % Total time : 18.751 s
% 28.90/18.25 % Maximum resident set size: 94840 pages
% 28.90/18.25 % E exiting
%------------------------------------------------------------------------------