TSTP Solution File: COM126+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM126+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 : n003.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 18:36:35 EDT 2023
% Result : Theorem 2.57s 2.63s
% Output : CNFRefutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 114
% Syntax : Number of formulae : 163 ( 19 unt; 105 typ; 0 def)
% Number of atoms : 228 ( 93 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 246 ( 76 ~; 117 |; 40 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 274 ( 96 >; 178 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 96 ( 96 usr; 9 con; 0-5 aty)
% Number of variables : 168 ( 27 sgn; 82 !; 8 ?; 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,
ve1app: $i ).
tff(decl_44,type,
ve2app: $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_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk38_4: ( $i * $i * $i * $i ) > $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_2: ( $i * $i ) > $i ).
tff(decl_106,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk59_2: ( $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 ).
fof('T-Weak-FreeVar-app',conjecture,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
& vtcheck(X20,vapp(ve1app,ve2app),X15) )
=> vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-app') ).
fof('T-inv',axiom,
! [X11,X15,X20] :
( vtcheck(X20,X11,X15)
=> ( ? [X9] :
( X11 = vvar(X9)
& vlookup(X9,X20) = vsomeType(X15) )
| ? [X9,X13,X33,X34] :
( X11 = vabs(X9,X33,X13)
& X15 = varrow(X33,X34)
& vtcheck(vbind(X9,X33,X20),X13,X34) )
| ? [X12,X13,X10] :
( X11 = vapp(X12,X13)
& vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof('DIFF-abs-app',axiom,
! [X1,X3,X4,X6,X7] : vabs(X1,X3,X4) != vapp(X6,X7),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof('EQ-app',axiom,
! [X4,X6,X7,X8] :
( ( vapp(X4,X6) = vapp(X7,X8)
=> ( X4 = X7
& X6 = X8 ) )
& ( ( X4 = X7
& X6 = X8 )
=> vapp(X4,X6) = vapp(X7,X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof('T-Weak-FreeVar-app-IH2',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve2app)
& vtcheck(X20,ve2app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve2app,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-app-IH2') ).
fof('T-Weak-FreeVar-app-IH1',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve1app)
& vtcheck(X20,ve1app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve1app,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-app-IH1') ).
fof('T-app',axiom,
! [X10,X20,X12,X13,X15] :
( ( vtcheck(X20,X12,varrow(X10,X15))
& vtcheck(X20,X13,X10) )
=> vtcheck(X20,vapp(X12,X13),X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-app') ).
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(c_0_9,negated_conjecture,
~ ! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,vapp(ve1app,ve2app))
& vtcheck(X20,vapp(ve1app,ve2app),X15) )
=> vtcheck(vbind(X9,X10,X20),vapp(ve1app,ve2app),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Weak-FreeVar-app'])]) ).
fof(c_0_10,plain,
! [X285,X286,X287] :
( ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| X285 = vvar(esk24_3(X285,X286,X287))
| ~ vtcheck(X287,X285,X286) )
& ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| X285 = vabs(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),esk26_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| X286 = varrow(esk27_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( X285 = vapp(esk29_3(X285,X286,X287),esk30_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk29_3(X285,X286,X287),varrow(esk31_3(X285,X286,X287),X286))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) )
& ( vtcheck(X287,esk30_3(X285,X286,X287),esk31_3(X285,X286,X287))
| vtcheck(vbind(esk25_3(X285,X286,X287),esk27_3(X285,X286,X287),X287),esk26_3(X285,X286,X287),esk28_3(X285,X286,X287))
| vlookup(esk24_3(X285,X286,X287),X287) = vsomeType(X286)
| ~ vtcheck(X287,X285,X286) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
fof(c_0_11,negated_conjecture,
( ~ visFreeVar(esk32_0,vapp(ve1app,ve2app))
& vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_12,plain,
! [X54,X55,X56,X57,X58] : vabs(X54,X55,X56) != vapp(X57,X58),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_13,plain,
! [X51,X52,X53] : vvar(X51) != vapp(X52,X53),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(c_0_14,plain,
! [X43,X44,X45,X46] :
( ( X43 = X45
| vapp(X43,X44) != vapp(X45,X46) )
& ( X44 = X46
| vapp(X43,X44) != vapp(X45,X46) )
& ( X43 != X45
| X44 != X46
| vapp(X43,X44) = vapp(X45,X46) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-app'])])]) ).
cnf(c_0_15,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X1 = vabs(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),esk26_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
vtcheck(esk34_0,vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( X1 = X2
| vapp(X1,X3) != vapp(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
vapp(esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
| vapp(ve1app,ve2app) != vapp(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
esk29_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve1app,
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_23,plain,
( X1 = X2
| vapp(X3,X1) != vapp(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,negated_conjecture,
vapp(ve1app,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0)) = vapp(ve1app,ve2app),
inference(rw,[status(thm)],[c_0_20,c_0_22]) ).
fof(c_0_25,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve2app)
& vtcheck(X20,ve2app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve2app,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-app-IH2']) ).
cnf(c_0_26,plain,
( vtcheck(X1,esk30_3(X2,X3,X1),esk31_3(X2,X3,X1))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
( esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = X1
| vapp(ve1app,ve2app) != vapp(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_28,plain,
! [X310,X311,X312,X313] :
( visFreeVar(X310,ve2app)
| ~ vtcheck(X312,ve2app,X313)
| vtcheck(vbind(X310,X311,X312),ve2app,X313) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
cnf(c_0_29,negated_conjecture,
vtcheck(esk34_0,esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_30,negated_conjecture,
esk30_3(vapp(ve1app,ve2app),esk35_0,esk34_0) = ve2app,
inference(er,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,ve1app)
& vtcheck(X20,ve1app,X15) )
=> vtcheck(vbind(X9,X10,X20),ve1app,X15) ),
inference(fof_simplification,[status(thm)],['T-Weak-FreeVar-app-IH1']) ).
fof(c_0_32,plain,
! [X280,X281,X282,X283,X284] :
( ~ vtcheck(X281,X282,varrow(X280,X284))
| ~ vtcheck(X281,X283,X280)
| vtcheck(X281,vapp(X282,X283),X284) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-app'])]) ).
cnf(c_0_33,plain,
( visFreeVar(X1,ve2app)
| vtcheck(vbind(X1,X4,X2),ve2app,X3)
| ~ vtcheck(X2,ve2app,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
vtcheck(esk34_0,ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0)),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_35,plain,
! [X306,X307,X308,X309] :
( visFreeVar(X306,ve1app)
| ~ vtcheck(X308,ve1app,X309)
| vtcheck(vbind(X306,X307,X308),ve1app,X309) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
cnf(c_0_36,plain,
( vtcheck(X1,esk29_3(X2,X3,X1),varrow(esk31_3(X2,X3,X1),X3))
| X2 = vabs(esk25_3(X2,X3,X1),esk27_3(X2,X3,X1),esk26_3(X2,X3,X1))
| X2 = vvar(esk24_3(X2,X3,X1))
| ~ vtcheck(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_37,plain,
! [X78,X79,X80,X81,X82] :
( ( ~ visFreeVar(X81,X80)
| visFreeVar(X78,X79)
| X78 != X81
| X79 != vapp(X80,X82) )
& ( ~ visFreeVar(X81,X82)
| visFreeVar(X78,X79)
| X78 != X81
| X79 != vapp(X80,X82) )
& ( ~ visFreeVar(X78,X79)
| visFreeVar(X81,X80)
| visFreeVar(X81,X82)
| X78 != X81
| X79 != vapp(X80,X82) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar2])])]) ).
cnf(c_0_38,plain,
( vtcheck(X1,vapp(X2,X5),X4)
| ~ vtcheck(X1,X2,varrow(X3,X4))
| ~ vtcheck(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( vtcheck(vbind(X1,X2,esk34_0),ve2app,esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0))
| visFreeVar(X1,ve2app) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
( visFreeVar(X1,ve1app)
| vtcheck(vbind(X1,X4,X2),ve1app,X3)
| ~ vtcheck(X2,ve1app,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
vtcheck(esk34_0,ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_16]),c_0_17]),c_0_18]),c_0_22]) ).
cnf(c_0_42,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( vtcheck(vbind(X1,X2,esk34_0),vapp(X3,ve2app),X4)
| visFreeVar(X1,ve2app)
| ~ vtcheck(vbind(X1,X2,esk34_0),X3,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),X4)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( vtcheck(vbind(X1,X2,esk34_0),ve1app,varrow(esk31_3(vapp(ve1app,ve2app),esk35_0,esk34_0),esk35_0))
| visFreeVar(X1,ve1app) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
( visFreeVar(X1,X2)
| X2 != vapp(X3,X4)
| ~ visFreeVar(X1,X4) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_46,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vapp(ve1app,ve2app),esk35_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_47,negated_conjecture,
( vtcheck(vbind(X1,X2,esk34_0),vapp(ve1app,ve2app),esk35_0)
| visFreeVar(X1,ve1app)
| visFreeVar(X1,ve2app) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
( visFreeVar(X3,X4)
| ~ visFreeVar(X1,X2)
| X3 != X1
| X4 != vapp(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( visFreeVar(esk32_0,ve2app)
| visFreeVar(esk32_0,ve1app) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( visFreeVar(X1,X2)
| X2 != vapp(X3,X4)
| ~ visFreeVar(X1,X3) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_52,negated_conjecture,
~ visFreeVar(esk32_0,vapp(ve1app,ve2app)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_53,negated_conjecture,
( visFreeVar(esk32_0,vapp(X1,ve2app))
| visFreeVar(esk32_0,ve1app) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
( visFreeVar(X1,vapp(X2,X3))
| ~ visFreeVar(X1,X2) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_55,negated_conjecture,
visFreeVar(esk32_0,ve1app),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
visFreeVar(esk32_0,vapp(ve1app,X1)),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM126+1 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 12:58:26 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 2.57/2.63 % Version : CSE_E---1.5
% 2.57/2.63 % Problem : theBenchmark.p
% 2.57/2.63 % Proof found
% 2.57/2.63 % SZS status Theorem for theBenchmark.p
% 2.57/2.63 % SZS output start Proof
% See solution above
% 2.57/2.64 % Total time : 2.054000 s
% 2.57/2.64 % SZS output end Proof
% 2.57/2.64 % Total time : 2.060000 s
%------------------------------------------------------------------------------