TSTP Solution File: COM134+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM134+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 0.20s 0.86s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 115
% Syntax : Number of formulae : 157 ( 20 unt; 106 typ; 0 def)
% Number of atoms : 196 ( 100 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 210 ( 65 ~; 99 |; 36 &)
% ( 0 <=>; 10 =>; 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 : 97 ( 97 usr; 10 con; 0-5 aty)
% Number of variables : 167 ( 14 sgn; 86 !; 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,
ve1: $i ).
tff(decl_44,type,
ve2: $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_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_4: ( $i * $i * $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 ).
tff(decl_127,type,
esk79_2: ( $i * $i ) > $i ).
fof('T-subst-app',conjecture,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vapp(ve1,ve2),X34) )
=> vtcheck(X20,vsubst(X9,X11,vapp(ve1,ve2)),X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-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/sandbox/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/sandbox/benchmark/Axioms/COM001+0.ax','DIFF-abs-app') ).
fof('DIFF-var-app',axiom,
! [X1,X4,X6] : vvar(X1) != vapp(X4,X6),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/COM001+0.ax','EQ-app') ).
fof(subst2,axiom,
! [X1,X4,X6,X19,X12,X9,X11,X13] :
( ( X1 = X9
& X4 = X11
& X6 = vapp(X12,X13) )
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vapp(vsubst(X9,X11,X12),vsubst(X9,X11,X13)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',subst2) ).
fof('T-subst-IH-app2',axiom,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),ve2,X34) )
=> vtcheck(X20,vsubst(X9,X11,ve2),X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-IH-app2') ).
fof('T-subst-IH-app1',axiom,
! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),ve1,X34) )
=> vtcheck(X20,vsubst(X9,X11,ve1),X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-IH-app1') ).
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/sandbox/benchmark/Axioms/COM001+0.ax','T-app') ).
fof(c_0_9,negated_conjecture,
~ ! [X15,X20,X9,X11,X34] :
( ( vtcheck(X20,X11,X15)
& vtcheck(vbind(X9,X15,X20),vapp(ve1,ve2),X34) )
=> vtcheck(X20,vsubst(X9,X11,vapp(ve1,ve2)),X34) ),
inference(assume_negation,[status(cth)],['T-subst-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,
( vtcheck(esk33_0,esk35_0,esk32_0)
& vtcheck(vbind(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_0)
& ~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_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(vbind(esk34_0,esk32_0,esk33_0),vapp(ve1,ve2),esk36_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(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))) = vapp(ve1,ve2),
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(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vapp(ve1,ve2) != vapp(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
esk29_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = ve1,
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(ve1,esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))) = vapp(ve1,ve2),
inference(rw,[status(thm)],[c_0_20,c_0_22]) ).
fof(c_0_25,plain,
! [X161,X162,X163,X164,X165,X166,X167,X168] :
( X161 != X166
| X162 != X167
| X163 != vapp(X165,X168)
| X164 != vsubst(X161,X162,X163)
| X164 = vapp(vsubst(X166,X167,X165),vsubst(X166,X167,X168)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst2])]) ).
fof(c_0_26,plain,
! [X316,X317,X318,X319,X320] :
( ~ vtcheck(X317,X319,X316)
| ~ vtcheck(vbind(X318,X316,X317),ve2,X320)
| vtcheck(X317,vsubst(X318,X319,ve2),X320) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-app2'])]) ).
cnf(c_0_27,negated_conjecture,
( esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = X1
| vapp(ve1,ve2) != vapp(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( X8 = vapp(vsubst(X2,X4,X6),vsubst(X2,X4,X7))
| X1 != X2
| X3 != X4
| X5 != vapp(X6,X7)
| X8 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
( vtcheck(X1,vsubst(X4,X2,ve2),X5)
| ~ vtcheck(X1,X2,X3)
| ~ vtcheck(vbind(X4,X3,X1),ve2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
vtcheck(esk33_0,esk35_0,esk32_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,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_32,negated_conjecture,
esk30_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)) = ve2,
inference(er,[status(thm)],[c_0_27]) ).
fof(c_0_33,plain,
! [X311,X312,X313,X314,X315] :
( ~ vtcheck(X312,X314,X311)
| ~ vtcheck(vbind(X313,X311,X312),ve1,X315)
| vtcheck(X312,vsubst(X313,X314,ve1),X315) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-subst-IH-app1'])]) ).
cnf(c_0_34,plain,
( X1 = vapp(vsubst(X2,X3,X4),vsubst(X2,X3,X5))
| X1 != vsubst(X2,X3,X6)
| X6 != vapp(X4,X5) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])]) ).
fof(c_0_35,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_36,negated_conjecture,
( vtcheck(esk33_0,vsubst(X1,esk35_0,ve2),X2)
| ~ vtcheck(vbind(X1,esk32_0,esk33_0),ve2,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),ve2,esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_16]),c_0_17]),c_0_18]),c_0_32]) ).
cnf(c_0_38,plain,
( vtcheck(X1,vsubst(X4,X2,ve1),X5)
| ~ vtcheck(X1,X2,X3)
| ~ vtcheck(vbind(X4,X3,X1),ve1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,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]) ).
cnf(c_0_40,plain,
( X1 = vapp(vsubst(X2,X3,X4),vsubst(X2,X3,X5))
| X1 != vsubst(X2,X3,vapp(X4,X5)) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( vtcheck(X1,vapp(X2,X5),X4)
| ~ vtcheck(X1,X2,varrow(X3,X4))
| ~ vtcheck(X1,X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
vtcheck(esk33_0,vsubst(esk34_0,esk35_0,ve2),esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0))),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( vtcheck(esk33_0,vsubst(X1,esk35_0,ve1),X2)
| ~ vtcheck(vbind(X1,esk32_0,esk33_0),ve1,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_30]) ).
cnf(c_0_44,negated_conjecture,
vtcheck(vbind(esk34_0,esk32_0,esk33_0),ve1,varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk36_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_16]),c_0_17]),c_0_18]),c_0_22]) ).
cnf(c_0_45,negated_conjecture,
~ vtcheck(esk33_0,vsubst(esk34_0,esk35_0,vapp(ve1,ve2)),esk36_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46,plain,
vsubst(X1,X2,vapp(X3,X4)) = vapp(vsubst(X1,X2,X3),vsubst(X1,X2,X4)),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( vtcheck(esk33_0,vapp(X1,vsubst(esk34_0,esk35_0,ve2)),X2)
| ~ vtcheck(esk33_0,X1,varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),X2)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
vtcheck(esk33_0,vsubst(esk34_0,esk35_0,ve1),varrow(esk31_3(vapp(ve1,ve2),esk36_0,vbind(esk34_0,esk32_0,esk33_0)),esk36_0)),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
~ vtcheck(esk33_0,vapp(vsubst(esk34_0,esk35_0,ve1),vsubst(esk34_0,esk35_0,ve2)),esk36_0),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM134+1 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.34 % Computer : n014.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Aug 29 12:47:15 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.86 % Version : CSE_E---1.5
% 0.20/0.86 % Problem : theBenchmark.p
% 0.20/0.86 % Proof found
% 0.20/0.86 % SZS status Theorem for theBenchmark.p
% 0.20/0.86 % SZS output start Proof
% See solution above
% 0.20/0.88 % Total time : 0.287000 s
% 0.20/0.88 % SZS output end Proof
% 0.20/0.88 % Total time : 0.292000 s
%------------------------------------------------------------------------------