TSTP Solution File: COM136+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM136+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 : n018.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 18:36:38 EDT 2023
% Result : Theorem 0.72s 0.81s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 116
% Syntax : Number of formulae : 168 ( 23 unt; 106 typ; 0 def)
% Number of atoms : 236 ( 124 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 252 ( 78 ~; 117 |; 44 &)
% ( 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 : 97 ( 97 usr; 10 con; 0-5 aty)
% Number of variables : 209 ( 34 sgn; 110 !; 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,
veabs: $i ).
tff(decl_44,type,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_45,type,
epred2_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_46,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_47,type,
epred4_2: ( $i * $i ) > $o ).
tff(decl_48,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
esk10_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk15_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk16_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk19_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk32_0: $i ).
tff(decl_80,type,
esk33_0: $i ).
tff(decl_81,type,
esk34_0: $i ).
tff(decl_82,type,
esk35_0: $i ).
tff(decl_83,type,
esk36_0: $i ).
tff(decl_84,type,
esk37_0: $i ).
tff(decl_85,type,
esk38_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk39_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk46_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk47_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk48_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk49_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk50_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk51_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk52_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk53_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk54_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk55_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk56_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk57_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk58_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_115,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_116,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_119,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_123,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_124,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk78_2: ( $i * $i ) > $i ).
tff(decl_126,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_127,type,
esk80_2: ( $i * $i ) > $i ).
fof('T-Strong-abs',conjecture,
! [X9,X10,X20,X21,X35,X15] :
( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) )
=> vtcheck(X20,vabs(X21,X35,veabs),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong-abs') ).
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-abs',axiom,
! [X1,X2,X3,X4] : vvar(X1) != vabs(X2,X3,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-abs') ).
fof('EQ-abs',axiom,
! [X1,X3,X4,X2,X5,X6] :
( ( vabs(X1,X3,X4) = vabs(X2,X5,X6)
=> ( X1 = X2
& X3 = X5
& X4 = X6 ) )
& ( ( X1 = X2
& X3 = X5
& X4 = X6 )
=> vabs(X1,X3,X4) = vabs(X2,X5,X6) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-abs') ).
fof('T-Strong-abs-IH',axiom,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,veabs)
& vtcheck(vbind(X9,X10,X20),veabs,X15) )
=> vtcheck(X20,veabs,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong-abs-IH') ).
fof('T-Context-Swap',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 != X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X21,X22,vbind(X9,X23,X20)),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Swap') ).
fof(isFreeVar1,axiom,
! [X15,X1,X4,X9,X14,X11] :
( ( X1 = X14
& X4 = vabs(X9,X15,X11) )
=> ( ( ( X9 != X14
& visFreeVar(X14,X11) )
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> ( X9 != X14
& visFreeVar(X14,X11) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof('T-abs',axiom,
! [X20,X9,X11,X10,X15] :
( vtcheck(vbind(X9,X10,X20),X11,X15)
=> vtcheck(X20,vabs(X9,X10,X11),varrow(X10,X15)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-abs') ).
fof('T-Context-Duplicate',axiom,
! [X21,X22,X9,X23,X20,X11,X15] :
( ( X9 = X21
& vtcheck(vbind(X9,X23,vbind(X21,X22,X20)),X11,X15) )
=> vtcheck(vbind(X9,X23,X20),X11,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-Context-Duplicate') ).
fof(c_0_10,negated_conjecture,
~ ! [X9,X10,X20,X21,X35,X15] :
( ( ~ visFreeVar(X9,vabs(X21,X35,veabs))
& vtcheck(vbind(X9,X10,X20),vabs(X21,X35,veabs),X15) )
=> vtcheck(X20,vabs(X21,X35,veabs),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Strong-abs'])]) ).
fof(c_0_11,plain,
! [X286,X287,X288] :
( ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| X286 = vvar(esk24_3(X286,X287,X288))
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X286 = vabs(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),esk26_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| X287 = varrow(esk27_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( X286 = vapp(esk29_3(X286,X287,X288),esk30_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk29_3(X286,X287,X288),varrow(esk31_3(X286,X287,X288),X287))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) )
& ( vtcheck(X288,esk30_3(X286,X287,X288),esk31_3(X286,X287,X288))
| vtcheck(vbind(esk25_3(X286,X287,X288),esk27_3(X286,X287,X288),X288),esk26_3(X286,X287,X288),esk28_3(X286,X287,X288))
| vlookup(esk24_3(X286,X287,X288),X288) = vsomeType(X287)
| ~ vtcheck(X288,X286,X287) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
fof(c_0_12,negated_conjecture,
( ~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs))
& vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0)
& ~ vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,plain,
! [X55,X56,X57,X58,X59] : vabs(X55,X56,X57) != vapp(X58,X59),
inference(variable_rename,[status(thm)],['DIFF-abs-app']) ).
fof(c_0_14,plain,
! [X48,X49,X50,X51] : vvar(X48) != vabs(X49,X50,X51),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_15,plain,
! [X38,X39,X40,X41,X42,X43] :
( ( X38 = X41
| vabs(X38,X39,X40) != vabs(X41,X42,X43) )
& ( X39 = X42
| vabs(X38,X39,X40) != vabs(X41,X42,X43) )
& ( X40 = X43
| vabs(X38,X39,X40) != vabs(X41,X42,X43) )
& ( X38 != X41
| X39 != X42
| X40 != X43
| vabs(X38,X39,X40) = vabs(X41,X42,X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['EQ-abs'])])]) ).
cnf(c_0_16,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_11]) ).
cnf(c_0_17,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
vabs(X1,X2,X3) != vapp(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( X1 = X2
| vabs(X1,X3,X4) != vabs(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
vabs(esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = vabs(esk35_0,esk36_0,veabs),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
esk25_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = esk35_0,
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_24,plain,
( X1 = X2
| vabs(X3,X4,X1) != vabs(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
esk26_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = veabs,
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_28,plain,
( X1 = X2
| vabs(X3,X1,X4) != vabs(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,negated_conjecture,
vabs(esk35_0,esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),veabs) = vabs(esk35_0,esk36_0,veabs),
inference(rw,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = X1
| vabs(esk35_0,esk36_0,veabs) != vabs(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_31,plain,
! [X9,X10,X20,X15] :
( ( ~ visFreeVar(X9,veabs)
& vtcheck(vbind(X9,X10,X20),veabs,X15) )
=> vtcheck(X20,veabs,X15) ),
inference(fof_simplification,[status(thm)],['T-Strong-abs-IH']) ).
fof(c_0_32,plain,
! [X139,X140,X141,X142,X143,X144,X145] :
( X141 = X139
| ~ vtcheck(vbind(X141,X142,vbind(X139,X140,X143)),X144,X145)
| vtcheck(vbind(X139,X140,vbind(X141,X142,X143)),X144,X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Swap'])]) ).
cnf(c_0_33,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| vtcheck(vbind(esk25_3(X1,X2,X3),esk27_3(X1,X2,X3),X3),esk26_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,negated_conjecture,
esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)) = esk36_0,
inference(er,[status(thm)],[c_0_30]) ).
fof(c_0_35,plain,
! [X73,X74,X75,X76,X77,X78] :
( ( X76 = X77
| ~ visFreeVar(X77,X78)
| visFreeVar(X74,X75)
| X74 != X77
| X75 != vabs(X76,X73,X78) )
& ( X76 != X77
| ~ visFreeVar(X74,X75)
| X74 != X77
| X75 != vabs(X76,X73,X78) )
& ( visFreeVar(X77,X78)
| ~ visFreeVar(X74,X75)
| X74 != X77
| X75 != vabs(X76,X73,X78) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar1])])]) ).
fof(c_0_36,plain,
! [X302,X303,X304,X305] :
( visFreeVar(X302,veabs)
| ~ vtcheck(vbind(X302,X303,X304),veabs,X305)
| vtcheck(X304,veabs,X305) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
cnf(c_0_37,plain,
( X1 = X2
| vtcheck(vbind(X2,X4,vbind(X1,X3,X5)),X6,X7)
| ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,vbind(esk32_0,esk33_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_17]),c_0_18]),c_0_19]),c_0_23]),c_0_34]),c_0_27]) ).
cnf(c_0_39,plain,
( X1 = vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3))
| X2 = varrow(esk27_3(X1,X2,X3),esk28_3(X1,X2,X3))
| X1 = vvar(esk24_3(X1,X2,X3))
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,plain,
( X1 = X2
| visFreeVar(X4,X5)
| ~ visFreeVar(X2,X3)
| X4 != X2
| X5 != vabs(X1,X6,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_41,plain,
! [X276,X277,X278,X279,X280] :
( ~ vtcheck(vbind(X277,X279,X276),X278,X280)
| vtcheck(X276,vabs(X277,X279,X278),varrow(X279,X280)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-abs'])]) ).
cnf(c_0_42,plain,
( visFreeVar(X1,veabs)
| vtcheck(X3,veabs,X4)
| ~ vtcheck(vbind(X1,X2,X3),veabs,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( esk32_0 = esk35_0
| vtcheck(vbind(esk32_0,esk33_0,vbind(esk35_0,esk36_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
varrow(esk27_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)),esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = esk37_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_45,plain,
( X1 = X2
| visFreeVar(X2,X3)
| X3 != vabs(X1,X4,X5)
| ~ visFreeVar(X2,X5) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_46,plain,
( vtcheck(X3,vabs(X1,X2,X4),varrow(X2,X5))
| ~ vtcheck(vbind(X1,X2,X3),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( esk32_0 = esk35_0
| vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0)))
| visFreeVar(esk32_0,veabs) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk32_0,esk33_0,esk34_0))) = esk37_0,
inference(rw,[status(thm)],[c_0_44,c_0_34]) ).
cnf(c_0_49,negated_conjecture,
~ vtcheck(esk34_0,vabs(esk35_0,esk36_0,veabs),esk37_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_50,plain,
( X1 = X2
| visFreeVar(X2,vabs(X1,X3,X4))
| ~ visFreeVar(X2,X4) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( esk32_0 = esk35_0
| visFreeVar(esk32_0,veabs) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).
fof(c_0_52,plain,
! [X132,X133,X134,X135,X136,X137,X138] :
( X134 != X132
| ~ vtcheck(vbind(X134,X135,vbind(X132,X133,X136)),X137,X138)
| vtcheck(vbind(X134,X135,X136),X137,X138) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-Context-Duplicate'])]) ).
cnf(c_0_53,negated_conjecture,
~ visFreeVar(esk32_0,vabs(esk35_0,esk36_0,veabs)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_54,negated_conjecture,
( esk32_0 = esk35_0
| X1 = esk32_0
| visFreeVar(esk32_0,vabs(X1,X2,veabs)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
( vtcheck(vbind(X1,X3,X5),X6,X7)
| X1 != X2
| ~ vtcheck(vbind(X1,X3,vbind(X2,X4,X5)),X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_56,negated_conjecture,
esk32_0 = esk35_0,
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_57,plain,
( vtcheck(vbind(X1,X2,X3),X4,X5)
| ~ vtcheck(vbind(X1,X2,vbind(X1,X6,X3)),X4,X5) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_58,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,vbind(esk35_0,esk33_0,esk34_0)),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))),
inference(spm,[status(thm)],[c_0_38,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
vtcheck(vbind(esk35_0,esk36_0,esk34_0),veabs,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_60,negated_conjecture,
varrow(esk36_0,esk28_3(vabs(esk35_0,esk36_0,veabs),esk37_0,vbind(esk35_0,esk33_0,esk34_0))) = esk37_0,
inference(spm,[status(thm)],[c_0_48,c_0_56]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_59]),c_0_60]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM136+1 : TPTP v8.1.2. Released v6.4.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n018.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 13:42:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.72/0.81 % Version : CSE_E---1.5
% 0.72/0.81 % Problem : theBenchmark.p
% 0.72/0.81 % Proof found
% 0.72/0.81 % SZS status Theorem for theBenchmark.p
% 0.72/0.81 % SZS output start Proof
% See solution above
% 0.72/0.82 % Total time : 0.245000 s
% 0.72/0.82 % SZS output end Proof
% 0.72/0.82 % Total time : 0.250000 s
%------------------------------------------------------------------------------