TSTP Solution File: COM132+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM132+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:36:37 EDT 2023
% Result : Theorem 5.76s 5.85s
% Output : CNFRefutation 5.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 116
% Syntax : Number of formulae : 155 ( 11 unt; 108 typ; 0 def)
% Number of atoms : 152 ( 58 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 175 ( 70 ~; 64 |; 25 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 276 ( 97 >; 179 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 98 ( 98 usr; 11 con; 0-5 aty)
% Number of variables : 175 ( 13 sgn; 102 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vvar: $i > $i ).
tff(decl_23,type,
vabs: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
vapp: ( $i * $i ) > $i ).
tff(decl_25,type,
visValue: $i > $o ).
tff(decl_26,type,
visFreeVar: ( $i * $i ) > $o ).
tff(decl_27,type,
vempty: $i ).
tff(decl_28,type,
vbind: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
vnoType: $i ).
tff(decl_30,type,
vsomeType: $i > $i ).
tff(decl_31,type,
visSomeType: $i > $o ).
tff(decl_32,type,
vgetSomeType: $i > $i ).
tff(decl_33,type,
vlookup: ( $i * $i ) > $i ).
tff(decl_34,type,
vtcheck: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
vgensym: $i > $i ).
tff(decl_36,type,
vsubst: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
vnoExp: $i ).
tff(decl_38,type,
vsomeExp: $i > $i ).
tff(decl_39,type,
visSomeExp: $i > $o ).
tff(decl_40,type,
vgetSomeExp: $i > $i ).
tff(decl_41,type,
vreduce: $i > $i ).
tff(decl_42,type,
varrow: ( $i * $i ) > $i ).
tff(decl_43,type,
valphaEquivalent: ( $i * $i ) > $o ).
tff(decl_44,type,
veabs: $i ).
tff(decl_45,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_46,type,
epred2_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_47,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_48,type,
epred4_2: ( $i * $i ) > $o ).
tff(decl_49,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk10_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk15_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk16_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk19_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk32_0: $i ).
tff(decl_81,type,
esk33_0: $i ).
tff(decl_82,type,
esk34_0: $i ).
tff(decl_83,type,
esk35_0: $i ).
tff(decl_84,type,
esk36_0: $i ).
tff(decl_85,type,
esk37_0: $i ).
tff(decl_86,type,
esk38_0: $i ).
tff(decl_87,type,
esk39_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk46_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk47_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk48_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk49_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk50_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk51_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk52_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk53_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk54_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk55_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk56_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk57_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
esk58_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
esk59_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_115,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_116,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_119,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_123,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_124,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_126,type,
esk78_2: ( $i * $i ) > $i ).
tff(decl_127,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_128,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_129,type,
esk81_2: ( $i * $i ) > $i ).
fof('T-subst-abs-3',conjecture,
! [X15,X20,X9,X11,X21,X10,X34] :
( ( X9 != X21
& visFreeVar(X21,X11)
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-3') ).
fof('alpha-equiv-typing',axiom,
! [X11,X20,X12,X15] :
( ( vtcheck(X20,X11,X15)
& valphaEquivalent(X11,X12) )
=> vtcheck(X20,X12,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-typing') ).
fof('alpha-equiv-subst-abs',axiom,
! [X10,X9,X21,X11] :
( ~ visFreeVar(X21,X11)
=> valphaEquivalent(vabs(X9,X10,X11),vabs(X21,X10,vsubst(X9,vvar(X21),X11))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-subst-abs') ).
fof('gensym-is-fresh',axiom,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof('T-subst-abs-2-gen',axiom,
! [X15,X20,X9,X11,X21,X10,X12,X34] :
( ( X9 != X21
& ~ visFreeVar(X21,X11)
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,X12),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,X12)),X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-2-gen') ).
fof(isFreeVar2,axiom,
! [X1,X4,X12,X14,X13] :
( ( X1 = X14
& X4 = vapp(X12,X13) )
=> ( ( ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( visFreeVar(X14,X12)
| visFreeVar(X14,X13) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof(subst4,axiom,
! [X1,X4,X6,X19,X9,X11,X15,X21,X24,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( ( X9 != X21
& visFreeVar(X21,X11)
& X24 = vgensym(vapp(vapp(X11,X12),vvar(X9))) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vsubst(X9,X11,vabs(X24,X15,vsubst(X21,vvar(X24),X12))) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst4) ).
fof('fresh-unequal-var-3',axiom,
! [X11,X12,X9,X24] :
( X24 = vgensym(vapp(vapp(X11,X12),vvar(X9)))
=> X9 != X24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-unequal-var-3') ).
fof(c_0_8,negated_conjecture,
~ ! [X15,X20,X9,X11,X21,X10,X34] :
( ( X9 != X21
& visFreeVar(X21,X11)
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,veabs),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,veabs)),X34) ),
inference(assume_negation,[status(cth)],['T-subst-abs-3']) ).
fof(c_0_9,plain,
! [X307,X308,X309,X310] :
( ~ vtcheck(X308,X307,X310)
| ~ valphaEquivalent(X307,X309)
| vtcheck(X308,X309,X310) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['alpha-equiv-typing'])]) ).
fof(c_0_10,negated_conjecture,
( esk34_0 != esk36_0
& visFreeVar(esk36_0,esk35_0)
& vtcheck(esk33_0,esk35_0,esk32_0)
& vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0)
& ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,plain,
! [X10,X9,X21,X11] :
( ~ visFreeVar(X21,X11)
=> valphaEquivalent(vabs(X9,X10,X11),vabs(X21,X10,vsubst(X9,vvar(X21),X11))) ),
inference(fof_simplification,[status(thm)],['alpha-equiv-subst-abs']) ).
fof(c_0_12,plain,
! [X14,X11] :
( vgensym(X11) = X14
=> ~ visFreeVar(X14,X11) ),
inference(fof_simplification,[status(thm)],['gensym-is-fresh']) ).
fof(c_0_13,plain,
! [X15,X20,X9,X11,X21,X10,X12,X34] :
( ( X9 != X21
& ~ visFreeVar(X21,X11)
& vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vabs(X21,X10,X12),X34) )
=> vtcheck(X20,vsubst(X9,X11,vabs(X21,X10,X12)),X34) ),
inference(fof_simplification,[status(thm)],['T-subst-abs-2-gen']) ).
cnf(c_0_14,plain,
( vtcheck(X1,X4,X3)
| ~ vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(esk36_0,esk37_0,veabs),esk38_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,plain,
! [X303,X304,X305,X306] :
( visFreeVar(X305,X306)
| valphaEquivalent(vabs(X304,X303,X306),vabs(X305,X303,vsubst(X304,vvar(X305),X306))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
fof(c_0_17,plain,
! [X146,X147] :
( vgensym(X147) != X146
| ~ visFreeVar(X146,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_18,plain,
! [X79,X80,X81,X82,X83] :
( ( ~ visFreeVar(X82,X81)
| visFreeVar(X79,X80)
| X79 != X82
| X80 != vapp(X81,X83) )
& ( ~ visFreeVar(X82,X83)
| visFreeVar(X79,X80)
| X79 != X82
| X80 != vapp(X81,X83) )
& ( ~ visFreeVar(X79,X80)
| visFreeVar(X82,X81)
| visFreeVar(X82,X83)
| X79 != X82
| X80 != vapp(X81,X83) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
fof(c_0_19,plain,
! [X329,X330,X331,X332,X333,X334,X335,X336] :
( X331 = X333
| visFreeVar(X333,X332)
| ~ vtcheck(X330,X332,X329)
| ~ vtcheck(vbind(X331,X329,X330),vabs(X333,X334,X335),X336)
| vtcheck(X330,vsubst(X331,X332,vabs(X333,X334,X335)),X336) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
cnf(c_0_20,negated_conjecture,
( vtcheck(vbind(esk34_0,esk32_0,esk33_0),X1,esk38_0)
| ~ valphaEquivalent(vabs(esk36_0,esk37_0,veabs),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( visFreeVar(X1,X2)
| valphaEquivalent(vabs(X3,X4,X2),vabs(X1,X4,vsubst(X3,vvar(X1),X2))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X179,X180,X181,X182,X183,X184,X185,X186,X187,X188] :
( X179 != X183
| X180 != X184
| X181 != vabs(X186,X185,X188)
| X183 = X186
| ~ visFreeVar(X186,X184)
| X187 != vgensym(vapp(vapp(X184,X188),vvar(X183)))
| X182 != vsubst(X179,X180,X181)
| X182 = vsubst(X183,X184,vabs(X187,X185,vsubst(X186,vvar(X187),X188))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst4])]) ).
cnf(c_0_23,plain,
( vgensym(X1) != X2
| ~ visFreeVar(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( X1 = X2
| visFreeVar(X2,X3)
| vtcheck(X4,vsubst(X1,X3,vabs(X2,X6,X7)),X8)
| ~ vtcheck(X4,X3,X5)
| ~ vtcheck(vbind(X1,X5,X4),vabs(X2,X6,X7),X8) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( vtcheck(vbind(esk34_0,esk32_0,esk33_0),vabs(X1,esk37_0,vsubst(esk36_0,vvar(X1),veabs)),esk38_0)
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
( X2 = X6
| X10 = vsubst(X2,X4,vabs(X9,X7,vsubst(X6,vvar(X9),X8)))
| X1 != X2
| X3 != X4
| X5 != vabs(X6,X7,X8)
| ~ visFreeVar(X6,X4)
| X9 != vgensym(vapp(vapp(X4,X8),vvar(X2)))
| X10 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X337,X338,X339,X340] :
( X340 != vgensym(vapp(vapp(X337,X338),vvar(X339)))
| X339 != X340 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['fresh-unequal-var-3'])]) ).
cnf(c_0_29,plain,
~ visFreeVar(vgensym(X1),X1),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])]) ).
cnf(c_0_31,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,negated_conjecture,
( esk34_0 = X1
| vtcheck(esk33_0,vsubst(esk34_0,X2,vabs(X1,esk37_0,vsubst(esk36_0,vvar(X1),veabs))),esk38_0)
| visFreeVar(X1,veabs)
| visFreeVar(X1,X2)
| ~ vtcheck(esk33_0,X2,esk32_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_34,plain,
( vsubst(X1,X2,vabs(vgensym(vapp(vapp(X2,X3),vvar(X1))),X4,vsubst(X5,vvar(vgensym(vapp(vapp(X2,X3),vvar(X1)))),X3))) = vsubst(X1,X2,vabs(X5,X4,X3))
| X1 = X5
| ~ visFreeVar(X5,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_27])])])])]) ).
cnf(c_0_35,negated_conjecture,
visFreeVar(esk36_0,esk35_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_36,plain,
( X1 != vgensym(vapp(vapp(X2,X3),vvar(X4)))
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
~ visFreeVar(vgensym(vapp(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])]) ).
cnf(c_0_39,negated_conjecture,
( esk34_0 = X1
| vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(X1,esk37_0,vsubst(esk36_0,vvar(X1),veabs))),esk38_0)
| visFreeVar(X1,esk35_0)
| visFreeVar(X1,veabs) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( vsubst(X1,esk35_0,vabs(vgensym(vapp(vapp(esk35_0,X2),vvar(X1))),X3,vsubst(esk36_0,vvar(vgensym(vapp(vapp(esk35_0,X2),vvar(X1)))),X2))) = vsubst(X1,esk35_0,vabs(esk36_0,X3,X2))
| X1 = esk36_0 ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
vgensym(vapp(vapp(X1,X2),vvar(X3))) != X3,
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vabs(esk36_0,esk37_0,veabs)),esk38_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_43,plain,
~ visFreeVar(vgensym(vapp(vapp(X1,X2),X3)),X1),
inference(spm,[status(thm)],[c_0_37,c_0_30]) ).
cnf(c_0_44,plain,
~ visFreeVar(vgensym(vapp(vapp(X1,X2),X3)),X2),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
esk34_0 != esk36_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM132+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 13:27:21 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 5.76/5.85 % Version : CSE_E---1.5
% 5.76/5.85 % Problem : theBenchmark.p
% 5.76/5.85 % Proof found
% 5.76/5.85 % SZS status Theorem for theBenchmark.p
% 5.76/5.85 % SZS output start Proof
% See solution above
% 5.76/5.86 % Total time : 5.291000 s
% 5.76/5.86 % SZS output end Proof
% 5.76/5.86 % Total time : 5.297000 s
%------------------------------------------------------------------------------