TSTP Solution File: ITP015_1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP015_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 08:06:27 EDT 2024
% Result : Theorem 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 38
% Syntax : Number of formulae : 65 ( 28 unt; 28 typ; 0 def)
% Number of atoms : 68 ( 45 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 51 ( 20 ~; 13 |; 14 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 21 ( 15 >; 6 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-3 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?; 48 :)
% 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_2Einteger_2Eint: $tType ).
tff(decl_sort6,type,
mono_2Etyop_2Enum_2Enum: $tType ).
tff(decl_23,type,
tyop_2Efcp_2Ecart: ( d * d ) > d ).
tff(decl_24,type,
tyop_2Einteger_2Eint: d ).
tff(decl_25,type,
tyop_2Emin_2Ebool: d ).
tff(decl_27,type,
tyop_2Enum_2Enum: d ).
tff(decl_28,type,
s: ( d * u ) > du ).
tff(decl_30,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(decl_48,type,
c_2Ebool_2ECOND_2E3: ( du * du * du ) > u ).
tff(decl_60,type,
c_2Einteger__word_2Ei2w_2E1: du > u ).
tff(decl_68,type,
c_2Ewords_2En2w_2E1: du > u ).
tff(decl_71,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
tff(decl_87,type,
mono_2Ec_2Enum_2E0_2E0: mono_2Etyop_2Enum_2Enum ).
tff(decl_89,type,
mono_2Ec_2Eprim__rec_2E_3C_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_92,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_96,type,
mono_2Ec_2Einteger_2ENum_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum ).
tff(decl_97,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_101,type,
mono_2Ec_2Einteger_2Eint__lt_2E2: ( mono_2Etyop_2Einteger_2Eint * mono_2Etyop_2Einteger_2Eint ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_103,type,
mono_2Ec_2Einteger_2Eint__neg_2E1: mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint ).
tff(decl_105,type,
mono_2Ec_2Einteger_2Eint__of__num_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).
tff(decl_108,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(decl_120,type,
i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).
tff(decl_121,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
tff(decl_136,type,
esk1_0: d ).
tff(reserved_2Eho_2Enotfalse,axiom,
~ p(mono_2Ec_2Ebool_2EF_2E0),
file('/export/starexec/sandbox2/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p',reserved_2Eho_2Enotfalse) ).
tff(thm_2Eprim__rec_2ENOT__LESS__0,axiom,
! [X97: mono_2Etyop_2Enum_2Enum] : ~ p(mono_2Ec_2Eprim__rec_2E_3C_2E2(X97,mono_2Ec_2Enum_2E0_2E0)),
file('/export/starexec/sandbox2/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p',thm_2Eprim__rec_2ENOT__LESS__0) ).
tff(reserved_2Eho_2Eboolext,axiom,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( ( p(X6)
<=> p(X7) )
=> ( X6 = X7 ) ),
file('/export/starexec/sandbox2/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p',reserved_2Eho_2Eboolext) ).
tff(thm_2Einteger_2EINT__LT__CALCULATE,axiom,
! [X97: mono_2Etyop_2Enum_2Enum,X98: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(X97),mono_2Ec_2Einteger_2Eint__of__num_2E1(X98)) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X97,X98) )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X97)),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X98))) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X98,X97) )
& ( p(mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X97)),mono_2Ec_2Einteger_2Eint__of__num_2E1(X98)))
<=> ( ( X97 != mono_2Ec_2Enum_2E0_2E0 )
| ( X98 != mono_2Ec_2Enum_2E0_2E0 ) ) )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(X97),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X98))) = mono_2Ec_2Ebool_2EF_2E0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p',thm_2Einteger_2EINT__LT__CALCULATE) ).
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/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p',thm_2Einteger__word_2Ei2w__0) ).
tff(thm_2Einteger__word_2Ei2w__def,axiom,
! [X1: d,X99: 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(X99)))) = 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(X99,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(X99)))))))),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(X99))))))) ),
file('/export/starexec/sandbox2/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p',thm_2Einteger__word_2Ei2w__def) ).
tff(thm_2Einteger_2ENUM__OF__INT,axiom,
! [X97: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X97)) = X97 ),
file('/export/starexec/sandbox2/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p',thm_2Einteger_2ENUM__OF__INT) ).
tff(thm_2Ewords_2EWORD__NEG__0,axiom,
! [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(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/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p',thm_2Ewords_2EWORD__NEG__0) ).
tff(thm_2Ebool_2Ebool__case__thm,axiom,
! [X1: d] :
( ! [X93: u,X94: u] : ( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X1,X93),s(X1,X94))) = s(X1,X93) )
& ! [X95: u,X96: u] : ( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X1,X95),s(X1,X96))) = s(X1,X96) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p',thm_2Ebool_2Ebool__case__thm) ).
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/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p',thm_2Einteger_2EINT__NEG__0) ).
tff(c_0_10,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(fof_simplification,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
tff(c_0_11,plain,
! [X97: mono_2Etyop_2Enum_2Enum] : ~ p(mono_2Ec_2Eprim__rec_2E_3C_2E2(X97,mono_2Ec_2Enum_2E0_2E0)),
inference(fof_simplification,[status(thm)],[thm_2Eprim__rec_2ENOT__LESS__0]) ).
tff(c_0_12,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(fof_nnf,[status(thm)],[c_0_10]) ).
tff(c_0_13,plain,
! [X128: mono_2Etyop_2Emin_2Ebool,X129: mono_2Etyop_2Emin_2Ebool] :
( ( ~ p(X128)
| ~ p(X129)
| ( X128 = X129 ) )
& ( p(X128)
| p(X129)
| ( X128 = X129 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eboolext])])])]) ).
tff(c_0_14,plain,
! [X97: mono_2Etyop_2Enum_2Enum,X98: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(X97),mono_2Ec_2Einteger_2Eint__of__num_2E1(X98)) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X97,X98) )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X97)),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X98))) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X98,X97) )
& ( p(mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X97)),mono_2Ec_2Einteger_2Eint__of__num_2E1(X98)))
<=> ( ( X97 != mono_2Ec_2Enum_2E0_2E0 )
| ( X98 != mono_2Ec_2Enum_2E0_2E0 ) ) )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(X97),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X98))) = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(fof_simplification,[status(thm)],[thm_2Einteger_2EINT__LT__CALCULATE]) ).
tff(c_0_15,plain,
! [X135: mono_2Etyop_2Enum_2Enum] : ~ p(mono_2Ec_2Eprim__rec_2E_3C_2E2(X135,mono_2Ec_2Enum_2E0_2E0)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_11])]) ).
tcf(c_0_16,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
tcf(c_0_17,plain,
! [X6: mono_2Etyop_2Emin_2Ebool,X7: mono_2Etyop_2Emin_2Ebool] :
( p(X6)
| p(X7)
| ( X6 = X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tff(c_0_18,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_19,plain,
! [X106: d,X107: mono_2Etyop_2Einteger_2Eint] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X106),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,i_mono_2Etyop_2Einteger_2Eint(X107)))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X106),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Einteger_2Eint__lt_2E2(X107,mono_2Ec_2Einteger_2Eint__of__num_2E1(mono_2Ec_2Enum_2E0_2E0)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X106),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X106),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__neg_2E1(X107)))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X106),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Einteger_2ENum_2E1(X107))))))) ),
inference(variable_rename,[status(thm)],[thm_2Einteger__word_2Ei2w__def]) ).
tff(c_0_20,plain,
! [X108: mono_2Etyop_2Enum_2Enum,X109: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(X108),mono_2Ec_2Einteger_2Eint__of__num_2E1(X109)) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X108,X109) )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X108)),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X109))) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X109,X108) )
& ( ~ p(mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X108)),mono_2Ec_2Einteger_2Eint__of__num_2E1(X109)))
| ( X108 != mono_2Ec_2Enum_2E0_2E0 )
| ( X109 != mono_2Ec_2Enum_2E0_2E0 ) )
& ( ( X108 = mono_2Ec_2Enum_2E0_2E0 )
| p(mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X108)),mono_2Ec_2Einteger_2Eint__of__num_2E1(X109))) )
& ( ( X109 = mono_2Ec_2Enum_2E0_2E0 )
| p(mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X108)),mono_2Ec_2Einteger_2Eint__of__num_2E1(X109))) )
& ( mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(X108),mono_2Ec_2Einteger_2Eint__neg_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X109))) = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
tcf(c_0_21,plain,
! [X41: mono_2Etyop_2Enum_2Enum] : ~ p(mono_2Ec_2Eprim__rec_2E_3C_2E2(X41,mono_2Ec_2Enum_2E0_2E0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_22,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2EF_2E0 = X6 )
| p(X6) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
tff(c_0_23,plain,
! [X122: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X122)) = X122 ),
inference(variable_rename,[status(thm)],[thm_2Einteger_2ENUM__OF__INT]) ).
tff(c_0_24,plain,
! [X123: d] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X123),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X123),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Enum_2E0_2E0)))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X123),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Enum_2E0_2E0)))) ),
inference(variable_rename,[status(thm)],[thm_2Ewords_2EWORD__NEG__0]) ).
tff(c_0_25,plain,
! [X117: d,X118: u,X119: u,X120: u,X121: u] :
( ( s(X117,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X117,X118),s(X117,X119))) = s(X117,X118) )
& ( s(X117,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X117,X120),s(X117,X121))) = s(X117,X121) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Ebool_2Ebool__case__thm])]) ).
tff(c_0_26,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_18])])])]) ).
tcf(c_0_27,plain,
! [X1: d,X40: 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(X40)))) = 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(X40,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(X40)))))))),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(X40))))))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
tcf(c_0_28,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]) ).
tcf(c_0_29,plain,
! [X41: mono_2Etyop_2Enum_2Enum,X45: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Einteger_2Eint__lt_2E2(mono_2Ec_2Einteger_2Eint__of__num_2E1(X41),mono_2Ec_2Einteger_2Eint__of__num_2E1(X45)) = mono_2Ec_2Eprim__rec_2E_3C_2E2(X41,X45),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
tcf(c_0_30,plain,
! [X41: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Eprim__rec_2E_3C_2E2(X41,mono_2Ec_2Enum_2E0_2E0) = mono_2Ec_2Ebool_2EF_2E0,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
tcf(c_0_31,plain,
! [X41: mono_2Etyop_2Enum_2Enum] : mono_2Ec_2Einteger_2ENum_2E1(mono_2Ec_2Einteger_2Eint__of__num_2E1(X41)) = X41,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
tcf(c_0_32,plain,
! [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(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(split_conjunct,[status(thm)],[c_0_24]) ).
tcf(c_0_33,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_25]) ).
tcf(c_0_34,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_26]) ).
tcf(c_0_35,plain,
! [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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_31]),c_0_33]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : ITP015_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.09/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 13:11:48 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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/tmp/tmp.AuSuAJu5SG/E---3.1_2508.p
% 0.17/0.47 # Version: 3.1.0
% 0.17/0.47 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/0.47 # Starting new_bool_3 with 600s (2) cores
% 0.17/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 # Starting sh5l with 300s (1) cores
% 0.17/0.47 # new_bool_1 with pid 2589 completed with status 0
% 0.17/0.47 # Result found by new_bool_1
% 0.17/0.47 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/0.47 # Starting new_bool_3 with 600s (2) cores
% 0.17/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47 # Search class: FGHSM-FFMS31-DFFFFFNN
% 0.17/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47 # Starting SAT001_MinMin_p005000_rr_RG with 61s (1) cores
% 0.17/0.47 # SAT001_MinMin_p005000_rr_RG with pid 2593 completed with status 0
% 0.17/0.47 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.47 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.17/0.47 # Starting new_bool_3 with 600s (2) cores
% 0.17/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47 # Search class: FGHSM-FFMS31-DFFFFFNN
% 0.17/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47 # Starting SAT001_MinMin_p005000_rr_RG with 61s (1) cores
% 0.17/0.47 # Preprocessing time : 0.002 s
% 0.17/0.47 # Presaturation interreduction done
% 0.17/0.47
% 0.17/0.47 # Proof found!
% 0.17/0.47 # SZS status Theorem
% 0.17/0.47 # SZS output start CNFRefutation
% See solution above
% 0.17/0.47 # Parsed axioms : 220
% 0.17/0.47 # Removed by relevancy pruning/SinE : 199
% 0.17/0.47 # Initial clauses : 41
% 0.17/0.47 # Removed in clause preprocessing : 13
% 0.17/0.47 # Initial clauses in saturation : 28
% 0.17/0.47 # Processed clauses : 123
% 0.17/0.47 # ...of these trivial : 2
% 0.17/0.47 # ...subsumed : 64
% 0.17/0.47 # ...remaining for further processing : 57
% 0.17/0.47 # Other redundant clauses eliminated : 8
% 0.17/0.47 # Clauses deleted for lack of memory : 0
% 0.17/0.47 # Backward-subsumed : 0
% 0.17/0.47 # Backward-rewritten : 4
% 0.17/0.47 # Generated clauses : 287
% 0.17/0.47 # ...of the previous two non-redundant : 183
% 0.17/0.47 # ...aggressively subsumed : 0
% 0.17/0.47 # Contextual simplify-reflections : 0
% 0.17/0.47 # Paramodulations : 224
% 0.17/0.47 # Factorizations : 56
% 0.17/0.47 # NegExts : 0
% 0.17/0.47 # Equation resolutions : 8
% 0.17/0.47 # Disequality decompositions : 0
% 0.17/0.47 # Total rewrite steps : 122
% 0.17/0.47 # ...of those cached : 83
% 0.17/0.47 # Propositional unsat checks : 0
% 0.17/0.47 # Propositional check models : 0
% 0.17/0.47 # Propositional check unsatisfiable : 0
% 0.17/0.47 # Propositional clauses : 0
% 0.17/0.47 # Propositional clauses after purity: 0
% 0.17/0.47 # Propositional unsat core size : 0
% 0.17/0.47 # Propositional preprocessing time : 0.000
% 0.17/0.47 # Propositional encoding time : 0.000
% 0.17/0.47 # Propositional solver time : 0.000
% 0.17/0.47 # Success case prop preproc time : 0.000
% 0.17/0.47 # Success case prop encoding time : 0.000
% 0.17/0.47 # Success case prop solver time : 0.000
% 0.17/0.47 # Current number of processed clauses : 28
% 0.17/0.47 # Positive orientable unit clauses : 15
% 0.17/0.47 # Positive unorientable unit clauses: 0
% 0.17/0.47 # Negative unit clauses : 1
% 0.17/0.47 # Non-unit-clauses : 12
% 0.17/0.47 # Current number of unprocessed clauses: 108
% 0.17/0.47 # ...number of literals in the above : 355
% 0.17/0.47 # Current number of archived formulas : 0
% 0.17/0.47 # Current number of archived clauses : 26
% 0.17/0.47 # Clause-clause subsumption calls (NU) : 219
% 0.17/0.47 # Rec. Clause-clause subsumption calls : 171
% 0.17/0.47 # Non-unit clause-clause subsumptions : 57
% 0.17/0.47 # Unit Clause-clause subsumption calls : 2
% 0.17/0.47 # Rewrite failures with RHS unbound : 0
% 0.17/0.47 # BW rewrite match attempts : 7
% 0.17/0.47 # BW rewrite match successes : 4
% 0.17/0.47 # Condensation attempts : 0
% 0.17/0.47 # Condensation successes : 0
% 0.17/0.47 # Termbank termtop insertions : 6173
% 0.17/0.47 # Search garbage collected termcells : 980
% 0.17/0.47
% 0.17/0.47 # -------------------------------------------------
% 0.17/0.47 # User time : 0.006 s
% 0.17/0.47 # System time : 0.005 s
% 0.17/0.47 # Total time : 0.011 s
% 0.17/0.47 # Maximum resident set size: 2160 pages
% 0.17/0.47
% 0.17/0.47 # -------------------------------------------------
% 0.17/0.47 # User time : 0.012 s
% 0.17/0.47 # System time : 0.007 s
% 0.17/0.47 # Total time : 0.019 s
% 0.17/0.47 # Maximum resident set size: 1968 pages
% 0.17/0.47 % E---3.1 exiting
% 0.17/0.47 % E exiting
%------------------------------------------------------------------------------