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 : n015.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 0.15s 0.49s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 31
% Syntax : Number of formulae : 50 ( 15 unt; 25 typ; 0 def)
% Number of atoms : 35 ( 26 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 3 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 50 ( 0 sgn 50 !; 0 ?; 50 :)
% 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_2Efcp_2Ecart: ( d * d ) > d ).
tff(decl_23,type,
tyop_2Emin_2Ebool: d ).
tff(decl_25,type,
tyop_2Enum_2Enum: d ).
tff(decl_26,type,
s: ( d * u ) > du ).
tff(decl_28,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(decl_49,type,
c_2Ebool_2ECOND_2E3: ( du * du * du ) > u ).
tff(decl_55,type,
c_2Ewords_2En2w_2E1: du > u ).
tff(decl_57,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
tff(decl_59,type,
c_2Ewords_2Eword__add_2E2: ( du * du ) > u ).
tff(decl_61,type,
c_2Ewords_2Eword__sub_2E2: ( du * du ) > u ).
tff(decl_71,type,
mono_2Ec_2Earithmetic_2E_2B_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(decl_73,type,
mono_2Ec_2Earithmetic_2E_2D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum ).
tff(decl_77,type,
mono_2Ec_2Earithmetic_2E_3C_3D_2E2: ( mono_2Etyop_2Enum_2Enum * mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Emin_2Ebool ).
tff(decl_80,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_81,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(decl_86,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(decl_93,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
tff(decl_102,type,
esk1_0: d ).
tff(decl_103,type,
esk2_0: mono_2Etyop_2Enum_2Enum ).
tff(decl_104,type,
esk3_0: mono_2Etyop_2Enum_2Enum ).
tff(thm_2Ewords_2En2w__sub,conjecture,
! [X1: d,X85: mono_2Etyop_2Enum_2Enum,X86: mono_2Etyop_2Enum_2Enum] :
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X86,X85))
=> ( 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(X85,X86))))) = 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(X85)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X86)))))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5frdd1JsjE/E---3.1_31629.p',thm_2Ewords_2En2w__sub) ).
tff(reserved_2Eho_2Enotfalse,axiom,
~ p(mono_2Ec_2Ebool_2EF_2E0),
file('/export/starexec/sandbox2/tmp/tmp.5frdd1JsjE/E---3.1_31629.p',reserved_2Eho_2Enotfalse) ).
tff(thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
! [X1: d,X2: d] :
( ! [X81: mono_2Etyop_2Enum_2Enum,X82: 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(X81)))))),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(X82)))))))) = 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(X81,X82))))))) )
& ! [X83: mono_2Etyop_2Enum_2Enum,X84: 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(X83)))),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(X84)))))))) = 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(X84,X83))),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(X83,X84))))),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(X84,X83))))))))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5frdd1JsjE/E---3.1_31629.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
tff(thm_2Ewords_2Eword__sub__def,axiom,
! [X1: d,X79: u,X80: u] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X79),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X80))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X79),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),X80))))) ),
file('/export/starexec/sandbox2/tmp/tmp.5frdd1JsjE/E---3.1_31629.p',thm_2Ewords_2Eword__sub__def) ).
tff(reserved_2Eho_2Ebool__cases__ax,axiom,
! [X8: mono_2Etyop_2Emin_2Ebool] :
( ( X8 = mono_2Ec_2Ebool_2ET_2E0 )
| ( X8 = mono_2Ec_2Ebool_2EF_2E0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.5frdd1JsjE/E---3.1_31629.p',reserved_2Eho_2Ebool__cases__ax) ).
tff(thm_2Ebool_2Ebool__case__thm,axiom,
! [X1: d] :
( ! [X75: u,X76: u] : ( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X1,X75),s(X1,X76))) = s(X1,X75) )
& ! [X77: u,X78: u] : ( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X1,X77),s(X1,X78))) = s(X1,X78) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5frdd1JsjE/E---3.1_31629.p',thm_2Ebool_2Ebool__case__thm) ).
tff(c_0_6,negated_conjecture,
~ ! [X1: d,X85: mono_2Etyop_2Enum_2Enum,X86: mono_2Etyop_2Enum_2Enum] :
( p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X86,X85))
=> ( 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(X85,X86))))) = 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(X85)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X86)))))) ) ),
inference(assume_negation,[status(cth)],[thm_2Ewords_2En2w__sub]) ).
tff(c_0_7,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(fof_simplification,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
tff(c_0_8,plain,
! [X96: d,X97: d,X98: mono_2Etyop_2Enum_2Enum,X99: mono_2Etyop_2Enum_2Enum,X100: mono_2Etyop_2Enum_2Enum,X101: mono_2Etyop_2Enum_2Enum] :
( ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X96),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X96),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X96),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X98)))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X96),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X96),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X99)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X96),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X96),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2B_2E2(X98,X99))))))) )
& ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X97),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X97),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X100)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X97),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X97),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X101)))))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X97),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(X101,X100))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X97),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X100,X101))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X97),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X97),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X101,X100))))))))) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Ewords_2EWORD__LITERAL__ADD])]) ).
tff(c_0_9,plain,
! [X93: d,X94: u,X95: u] : ( s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X93),c_2Ewords_2Eword__sub_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X93),X94),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X93),X95))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X93),c_2Ewords_2Eword__add_2E2(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X93),X94),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X93),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X93),X95))))) ),
inference(variable_rename,[status(thm)],[thm_2Ewords_2Eword__sub__def]) ).
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])])])]) ).
tff(c_0_11,plain,
! [X125: mono_2Etyop_2Emin_2Ebool] :
( ( X125 = mono_2Ec_2Ebool_2ET_2E0 )
| ( X125 = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(variable_rename,[status(thm)],[reserved_2Eho_2Ebool__cases__ax]) ).
tff(c_0_12,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
tcf(c_0_13,plain,
! [X1: d,X31: mono_2Etyop_2Enum_2Enum,X29: 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(X29)))),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(X31)))))))) = 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(X31,X29))),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(X29,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,i_mono_2Etyop_2Enum_2Enum(mono_2Ec_2Earithmetic_2E_2D_2E2(X31,X29))))))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_14,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_9]) ).
tcf(c_0_15,negated_conjecture,
p(mono_2Ec_2Earithmetic_2E_3C_3D_2E2(esk3_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
tcf(c_0_16,plain,
! [X6: mono_2Etyop_2Emin_2Ebool] :
( ( X6 = mono_2Ec_2Ebool_2ET_2E0 )
| ( X6 = mono_2Ec_2Ebool_2EF_2E0 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_17,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
tff(c_0_18,plain,
! [X118: d,X119: u,X120: u,X121: u,X122: u] :
( ( s(X118,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2ET_2E0)),s(X118,X119),s(X118,X120))) = s(X118,X119) )
& ( s(X118,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2EF_2E0)),s(X118,X121),s(X118,X122))) = s(X118,X122) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Ebool_2Ebool__case__thm])]) ).
tcf(c_0_19,plain,
! [X1: d,X31: mono_2Etyop_2Enum_2Enum,X29: 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(X29,X31))),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(X31,X29))))),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(X29,X31))))))))) = 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(X31)))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,i_mono_2Etyop_2Enum_2Enum(X29)))))),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
tcf(c_0_20,negated_conjecture,
mono_2Ec_2Earithmetic_2E_3C_3D_2E2(esk3_0,esk2_0) = mono_2Ec_2Ebool_2ET_2E0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
tcf(c_0_21,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_18]) ).
tcf(c_0_22,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]) ).
tcf(c_0_23,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_19,c_0_20]),c_0_21]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : ITP013_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.11/0.30 % Computer : n015.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Fri May 3 13:06:51 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.15/0.44 Running first-order model finding
% 0.15/0.44 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/tmp/tmp.5frdd1JsjE/E---3.1_31629.p
% 0.15/0.49 # Version: 3.1.0
% 0.15/0.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.49 # Starting sh5l with 300s (1) cores
% 0.15/0.49 # new_bool_3 with pid 31707 completed with status 0
% 0.15/0.49 # Result found by new_bool_3
% 0.15/0.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.49 # Search class: FGHSM-FFMM31-DFFFFFNN
% 0.15/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.49 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 100s (1) cores
% 0.15/0.49 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 31710 completed with status 0
% 0.15/0.49 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.49 # Search class: FGHSM-FFMM31-DFFFFFNN
% 0.15/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.49 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 100s (1) cores
% 0.15/0.49 # Preprocessing time : 0.002 s
% 0.15/0.49 # Presaturation interreduction done
% 0.15/0.49
% 0.15/0.49 # Proof found!
% 0.15/0.49 # SZS status Theorem
% 0.15/0.49 # SZS output start CNFRefutation
% See solution above
% 0.15/0.49 # Parsed axioms : 159
% 0.15/0.49 # Removed by relevancy pruning/SinE : 141
% 0.15/0.49 # Initial clauses : 58
% 0.15/0.49 # Removed in clause preprocessing : 25
% 0.15/0.49 # Initial clauses in saturation : 33
% 0.15/0.49 # Processed clauses : 310
% 0.15/0.49 # ...of these trivial : 7
% 0.15/0.49 # ...subsumed : 231
% 0.15/0.49 # ...remaining for further processing : 72
% 0.15/0.49 # Other redundant clauses eliminated : 69
% 0.15/0.49 # Clauses deleted for lack of memory : 0
% 0.15/0.49 # Backward-subsumed : 0
% 0.15/0.49 # Backward-rewritten : 2
% 0.15/0.49 # Generated clauses : 1525
% 0.15/0.49 # ...of the previous two non-redundant : 1114
% 0.15/0.49 # ...aggressively subsumed : 0
% 0.15/0.49 # Contextual simplify-reflections : 0
% 0.15/0.49 # Paramodulations : 1264
% 0.15/0.49 # Factorizations : 187
% 0.15/0.49 # NegExts : 0
% 0.15/0.49 # Equation resolutions : 74
% 0.15/0.49 # Disequality decompositions : 0
% 0.15/0.49 # Total rewrite steps : 376
% 0.15/0.49 # ...of those cached : 299
% 0.15/0.49 # Propositional unsat checks : 0
% 0.15/0.49 # Propositional check models : 0
% 0.15/0.49 # Propositional check unsatisfiable : 0
% 0.15/0.49 # Propositional clauses : 0
% 0.15/0.49 # Propositional clauses after purity: 0
% 0.15/0.49 # Propositional unsat core size : 0
% 0.15/0.49 # Propositional preprocessing time : 0.000
% 0.15/0.49 # Propositional encoding time : 0.000
% 0.15/0.49 # Propositional solver time : 0.000
% 0.15/0.49 # Success case prop preproc time : 0.000
% 0.15/0.49 # Success case prop encoding time : 0.000
% 0.15/0.49 # Success case prop solver time : 0.000
% 0.15/0.49 # Current number of processed clauses : 46
% 0.15/0.49 # Positive orientable unit clauses : 10
% 0.15/0.49 # Positive unorientable unit clauses: 0
% 0.15/0.49 # Negative unit clauses : 1
% 0.15/0.49 # Non-unit-clauses : 35
% 0.15/0.49 # Current number of unprocessed clauses: 853
% 0.15/0.49 # ...number of literals in the above : 3754
% 0.15/0.49 # Current number of archived formulas : 0
% 0.15/0.49 # Current number of archived clauses : 20
% 0.15/0.49 # Clause-clause subsumption calls (NU) : 1482
% 0.15/0.49 # Rec. Clause-clause subsumption calls : 879
% 0.15/0.49 # Non-unit clause-clause subsumptions : 223
% 0.15/0.49 # Unit Clause-clause subsumption calls : 0
% 0.15/0.49 # Rewrite failures with RHS unbound : 0
% 0.15/0.49 # BW rewrite match attempts : 11
% 0.15/0.49 # BW rewrite match successes : 2
% 0.15/0.49 # Condensation attempts : 0
% 0.15/0.49 # Condensation successes : 0
% 0.15/0.49 # Termbank termtop insertions : 23513
% 0.15/0.49 # Search garbage collected termcells : 1069
% 0.15/0.49
% 0.15/0.49 # -------------------------------------------------
% 0.15/0.49 # User time : 0.031 s
% 0.15/0.49 # System time : 0.004 s
% 0.15/0.49 # Total time : 0.036 s
% 0.15/0.49 # Maximum resident set size: 2180 pages
% 0.15/0.49
% 0.15/0.49 # -------------------------------------------------
% 0.15/0.49 # User time : 0.036 s
% 0.15/0.49 # System time : 0.006 s
% 0.15/0.49 # Total time : 0.043 s
% 0.15/0.49 # Maximum resident set size: 1912 pages
% 0.15/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------