TSTP Solution File: COM138+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM138+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 18:36:39 EDT 2023
% Result : Theorem 0.53s 0.67s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 116
% Syntax : Number of formulae : 170 ( 24 unt; 104 typ; 0 def)
% Number of atoms : 826 ( 516 equ)
% Maximal formula atoms : 400 ( 12 avg)
% Number of connectives : 995 ( 235 ~; 537 |; 205 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 87 ( 7 avg)
% Maximal term depth : 5 ( 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 : 95 ( 95 usr; 8 con; 0-5 aty)
% Number of variables : 277 ( 18 sgn; 105 !; 94 ?; 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,
epred1_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_44,type,
epred2_4: ( $i * $i * $i * $i ) > $o ).
tff(decl_45,type,
epred3_2: ( $i * $i ) > $o ).
tff(decl_46,type,
epred4_2: ( $i * $i ) > $o ).
tff(decl_47,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk2_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk10_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_58,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk15_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk16_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk19_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk20_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk32_0: $i ).
tff(decl_79,type,
esk33_0: $i ).
tff(decl_80,type,
esk34_0: $i ).
tff(decl_81,type,
esk35_0: $i ).
tff(decl_82,type,
esk36_0: $i ).
tff(decl_83,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk38_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk39_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk41_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk46_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk47_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk48_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk49_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk50_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk51_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk52_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk53_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk54_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk55_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk56_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk57_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_105,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_106,type,
esk60_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk64_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_115,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_116,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_119,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk76_2: ( $i * $i ) > $i ).
tff(decl_123,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_124,type,
esk78_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk79_2: ( $i * $i ) > $i ).
fof(reduce0,axiom,
! [X9,X4,X19] :
( X4 = vvar(X9)
=> ( X19 = vreduce(X4)
=> X19 = vnoExp ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',reduce0) ).
fof('reduce-INV',axiom,
! [X4,X19] :
( vreduce(X4) = X19
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) )
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','reduce-INV') ).
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(isFreeVar0,axiom,
! [X1,X4,X9,X14] :
( ( X1 = X14
& X4 = vvar(X9) )
=> ( ( X9 = X14
=> visFreeVar(X1,X4) )
& ( visFreeVar(X1,X4)
=> X9 = X14 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof('DIFF-noExp-someExp',axiom,
! [X4] : vnoExp != vsomeExp(X4),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-noExp-someExp') ).
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('T-Strong-var',conjecture,
! [X9,X10,X20,X21,X15] :
( ( ~ visFreeVar(X9,vvar(X21))
& vtcheck(vbind(X9,X10,X20),vvar(X21),X15) )
=> vtcheck(X20,vvar(X21),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong-var') ).
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(lookup2,axiom,
! [X22,X21,X1,X16,X19,X9,X20] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 != X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vlookup(X9,X20) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof('T-var',axiom,
! [X20,X9,X15] :
( vlookup(X9,X20) = vsomeType(X15)
=> vtcheck(X20,vvar(X9),X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-var') ).
fof(c_0_10,plain,
! [X4,X19] :
( epred4_2(X19,X4)
<=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) )
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
introduced(definition) ).
fof(c_0_11,plain,
! [X215,X216,X217] :
( X216 != vvar(X215)
| X217 != vreduce(X216)
| X217 = vnoExp ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reduce0])]) ).
fof(c_0_12,plain,
! [X4,X19] :
( vreduce(X4) = X19
=> ( epred4_2(X19,X4)
| ? [X13,X12,X27] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& ~ visSomeExp(X27)
& X19 = vnoExp ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],['reduce-INV']),c_0_10]) ).
cnf(c_0_13,plain,
( X3 = vnoExp
| X1 != vvar(X2)
| X3 != vreduce(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X4,X19] :
( epred3_2(X19,X4)
<=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
introduced(definition) ).
fof(c_0_15,plain,
! [X260,X261,X265,X266,X267] :
( ( X260 = vapp(esk22_2(X260,X261),esk21_2(X260,X261))
| epred4_2(X261,X260)
| vreduce(X260) != X261 )
& ( esk22_2(X260,X261) != vabs(X265,X266,X267)
| epred4_2(X261,X260)
| vreduce(X260) != X261 )
& ( esk23_2(X260,X261) = vreduce(esk22_2(X260,X261))
| epred4_2(X261,X260)
| vreduce(X260) != X261 )
& ( ~ visSomeExp(esk23_2(X260,X261))
| epred4_2(X261,X260)
| vreduce(X260) != X261 )
& ( X261 = vnoExp
| epred4_2(X261,X260)
| vreduce(X260) != X261 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])]) ).
cnf(c_0_16,plain,
( vreduce(X1) = vnoExp
| X1 != vvar(X2) ),
inference(er,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X51,X52,X53] : vvar(X51) != vapp(X52,X53),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(c_0_18,plain,
! [X4,X19] :
( epred4_2(X19,X4)
=> ( epred3_2(X19,X4)
| ? [X9,X10,X12,X26,X13] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& ~ visValue(X13)
& X19 = vnoExp )
| ? [X12,X27,X13] :
( X4 = vapp(X12,X13)
& ! [X28,X29,X30] : X12 != vabs(X28,X29,X30)
& X27 = vreduce(X12)
& visSomeExp(X27)
& X19 = vsomeExp(vapp(vgetSomeExp(X27),X13)) ) ) ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_10]),c_0_14]) ).
cnf(c_0_19,plain,
( X1 = vapp(esk22_2(X1,X2),esk21_2(X1,X2))
| epred4_2(X2,X1)
| vreduce(X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
vreduce(vvar(X1)) = vnoExp,
inference(er,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,plain,
! [X68,X69,X70,X71] :
( ( X70 != X71
| visFreeVar(X68,X69)
| X68 != X71
| X69 != vvar(X70) )
& ( ~ visFreeVar(X68,X69)
| X70 = X71
| X68 != X71
| X69 != vvar(X70) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
fof(c_0_23,plain,
! [X4,X19] :
( epred3_2(X19,X4)
=> ( ? [X9] :
( X4 = vvar(X9)
& X19 = vnoExp )
| ? [X9,X10,X11] :
( X4 = vabs(X9,X10,X11)
& X19 = vnoExp )
| ? [X13,X9,X10,X12,X26] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& visSomeExp(X26)
& X19 = vsomeExp(vapp(vabs(X9,X10,X12),vgetSomeExp(X26))) )
| ? [X10,X26,X9,X13,X12] :
( X4 = vapp(vabs(X9,X10,X12),X13)
& X26 = vreduce(X13)
& ~ visSomeExp(X26)
& visValue(X13)
& X19 = vsomeExp(vsubst(X9,X13,X12)) ) ) ),
inference(split_equiv,[status(thm)],[c_0_14]) ).
fof(c_0_24,plain,
! [X351,X352,X361,X362,X363] :
( ( X351 = vapp(esk77_2(X351,X352),esk79_2(X351,X352))
| X351 = vapp(vabs(esk72_2(X351,X352),esk73_2(X351,X352),esk74_2(X351,X352)),esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( esk77_2(X351,X352) != vabs(X361,X362,X363)
| X351 = vapp(vabs(esk72_2(X351,X352),esk73_2(X351,X352),esk74_2(X351,X352)),esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( esk78_2(X351,X352) = vreduce(esk77_2(X351,X352))
| X351 = vapp(vabs(esk72_2(X351,X352),esk73_2(X351,X352),esk74_2(X351,X352)),esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( visSomeExp(esk78_2(X351,X352))
| X351 = vapp(vabs(esk72_2(X351,X352),esk73_2(X351,X352),esk74_2(X351,X352)),esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( X352 = vsomeExp(vapp(vgetSomeExp(esk78_2(X351,X352)),esk79_2(X351,X352)))
| X351 = vapp(vabs(esk72_2(X351,X352),esk73_2(X351,X352),esk74_2(X351,X352)),esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( X351 = vapp(esk77_2(X351,X352),esk79_2(X351,X352))
| esk75_2(X351,X352) = vreduce(esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( esk77_2(X351,X352) != vabs(X361,X362,X363)
| esk75_2(X351,X352) = vreduce(esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( esk78_2(X351,X352) = vreduce(esk77_2(X351,X352))
| esk75_2(X351,X352) = vreduce(esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( visSomeExp(esk78_2(X351,X352))
| esk75_2(X351,X352) = vreduce(esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( X352 = vsomeExp(vapp(vgetSomeExp(esk78_2(X351,X352)),esk79_2(X351,X352)))
| esk75_2(X351,X352) = vreduce(esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( X351 = vapp(esk77_2(X351,X352),esk79_2(X351,X352))
| ~ visSomeExp(esk75_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( esk77_2(X351,X352) != vabs(X361,X362,X363)
| ~ visSomeExp(esk75_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( esk78_2(X351,X352) = vreduce(esk77_2(X351,X352))
| ~ visSomeExp(esk75_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( visSomeExp(esk78_2(X351,X352))
| ~ visSomeExp(esk75_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( X352 = vsomeExp(vapp(vgetSomeExp(esk78_2(X351,X352)),esk79_2(X351,X352)))
| ~ visSomeExp(esk75_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( X351 = vapp(esk77_2(X351,X352),esk79_2(X351,X352))
| ~ visValue(esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( esk77_2(X351,X352) != vabs(X361,X362,X363)
| ~ visValue(esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( esk78_2(X351,X352) = vreduce(esk77_2(X351,X352))
| ~ visValue(esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( visSomeExp(esk78_2(X351,X352))
| ~ visValue(esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( X352 = vsomeExp(vapp(vgetSomeExp(esk78_2(X351,X352)),esk79_2(X351,X352)))
| ~ visValue(esk76_2(X351,X352))
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( X351 = vapp(esk77_2(X351,X352),esk79_2(X351,X352))
| X352 = vnoExp
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( esk77_2(X351,X352) != vabs(X361,X362,X363)
| X352 = vnoExp
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( esk78_2(X351,X352) = vreduce(esk77_2(X351,X352))
| X352 = vnoExp
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( visSomeExp(esk78_2(X351,X352))
| X352 = vnoExp
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) )
& ( X352 = vsomeExp(vapp(vgetSomeExp(esk78_2(X351,X352)),esk79_2(X351,X352)))
| X352 = vnoExp
| epred3_2(X352,X351)
| ~ epred4_2(X352,X351) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])]) ).
cnf(c_0_25,plain,
( epred4_2(X1,vvar(X2))
| vnoExp != X1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_26,plain,
( visFreeVar(X3,X4)
| X1 != X2
| X3 != X2
| X4 != vvar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_27,plain,
! [X335,X336] :
( ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| visSomeExp(esk66_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| visSomeExp(esk66_2(X335,X336))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X336 = vnoExp
| X335 = vvar(esk58_2(X335,X336))
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| visSomeExp(esk66_2(X335,X336))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X335 = vabs(esk59_2(X335,X336),esk60_2(X335,X336),esk61_2(X335,X336))
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| X335 = vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),esk62_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| esk66_2(X335,X336) = vreduce(esk62_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| visSomeExp(esk66_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| visSomeExp(esk66_2(X335,X336))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X335 = vapp(vabs(esk69_2(X335,X336),esk67_2(X335,X336),esk71_2(X335,X336)),esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( esk68_2(X335,X336) = vreduce(esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( ~ visSomeExp(esk68_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( visValue(esk70_2(X335,X336))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) )
& ( X336 = vsomeExp(vsubst(esk69_2(X335,X336),esk70_2(X335,X336),esk71_2(X335,X336)))
| X336 = vsomeExp(vapp(vabs(esk63_2(X335,X336),esk64_2(X335,X336),esk65_2(X335,X336)),vgetSomeExp(esk66_2(X335,X336))))
| X336 = vnoExp
| X336 = vnoExp
| ~ epred3_2(X336,X335) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).
cnf(c_0_28,plain,
( X1 = vapp(esk77_2(X1,X2),esk79_2(X1,X2))
| X1 = vapp(vabs(esk72_2(X1,X2),esk73_2(X1,X2),esk74_2(X1,X2)),esk76_2(X1,X2))
| epred3_2(X2,X1)
| ~ epred4_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
epred4_2(vnoExp,vvar(X1)),
inference(er,[status(thm)],[c_0_25]) ).
fof(c_0_30,plain,
! [X208] : vnoExp != vsomeExp(X208),
inference(variable_rename,[status(thm)],['DIFF-noExp-someExp']) ).
fof(c_0_31,plain,
! [X47,X48,X49,X50] : vvar(X47) != vabs(X48,X49,X50),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
cnf(c_0_32,plain,
( X3 = X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| X2 != vvar(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
( visFreeVar(X1,X2)
| X2 != vvar(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])]) ).
cnf(c_0_34,plain,
( X1 = vsomeExp(vsubst(esk69_2(X2,X1),esk70_2(X2,X1),esk71_2(X2,X1)))
| X2 = vapp(vabs(esk63_2(X2,X1),esk64_2(X2,X1),esk65_2(X2,X1)),esk62_2(X2,X1))
| X2 = vabs(esk59_2(X2,X1),esk60_2(X2,X1),esk61_2(X2,X1))
| X2 = vvar(esk58_2(X2,X1))
| ~ epred3_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
epred3_2(vnoExp,vvar(X1)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_21]),c_0_21]) ).
cnf(c_0_36,plain,
vnoExp != vsomeExp(X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_38,negated_conjecture,
~ ! [X9,X10,X20,X21,X15] :
( ( ~ visFreeVar(X9,vvar(X21))
& vtcheck(vbind(X9,X10,X20),vvar(X21),X15) )
=> vtcheck(X20,vvar(X21),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Strong-var'])]) ).
cnf(c_0_39,plain,
( X1 = X2
| X3 != vvar(X1)
| ~ visFreeVar(X2,X3) ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
visFreeVar(X1,vvar(X1)),
inference(er,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
vvar(esk58_2(vvar(X1),vnoExp)) = vvar(X1),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_21]),c_0_36]),c_0_37]) ).
fof(c_0_42,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_43,negated_conjecture,
( ~ visFreeVar(esk32_0,vvar(esk35_0))
& vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0)
& ~ vtcheck(esk34_0,vvar(esk35_0),esk36_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
cnf(c_0_44,plain,
( X1 = X2
| ~ visFreeVar(X2,vvar(X1)) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
visFreeVar(esk58_2(vvar(X1),vnoExp),vvar(X1)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,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_42]) ).
cnf(c_0_47,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_48,plain,
! [X112,X113,X114,X115,X116,X117,X118] :
( X114 != X117
| X115 != vbind(X113,X112,X118)
| X117 = X113
| X116 != vlookup(X114,X115)
| X116 = vlookup(X117,X118) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
cnf(c_0_49,plain,
esk58_2(vvar(X1),vnoExp) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
vvar(esk24_3(vvar(esk35_0),esk36_0,vbind(esk32_0,esk33_0,esk34_0))) = vvar(esk35_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_37]),c_0_21]) ).
cnf(c_0_51,plain,
( X2 = X4
| X7 = vlookup(X2,X6)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_52,plain,
! [X272,X273,X274] :
( vlookup(X273,X272) != vsomeType(X274)
| vtcheck(X272,vvar(X273),X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
cnf(c_0_53,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))
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,plain,
esk24_3(vvar(esk35_0),esk36_0,vbind(esk32_0,esk33_0,esk34_0)) = esk35_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_49]) ).
cnf(c_0_55,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X5 != vbind(X4,X6,X3)
| X1 != vlookup(X2,X5) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_56,plain,
( vtcheck(X2,vvar(X1),X3)
| vlookup(X1,X2) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_57,negated_conjecture,
vsomeType(esk36_0) = vlookup(esk35_0,vbind(esk32_0,esk33_0,esk34_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_47]),c_0_37]),c_0_21]),c_0_54]) ).
cnf(c_0_58,plain,
( vlookup(X1,X2) = vlookup(X1,X3)
| X1 = X4
| X2 != vbind(X4,X5,X3) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( vtcheck(X1,vvar(X2),esk36_0)
| vlookup(X2,X1) != vlookup(esk35_0,vbind(esk32_0,esk33_0,esk34_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_60,plain,
( vlookup(X1,vbind(X2,X3,X4)) = vlookup(X1,X4)
| X1 = X2 ),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( esk32_0 = esk35_0
| vtcheck(X1,vvar(X2),esk36_0)
| vlookup(X2,X1) != vlookup(esk35_0,esk34_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_62,negated_conjecture,
~ vtcheck(esk34_0,vvar(esk35_0),esk36_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_63,negated_conjecture,
~ visFreeVar(esk32_0,vvar(esk35_0)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_64,negated_conjecture,
esk32_0 = esk35_0,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_61]),c_0_62]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM138+1 : TPTP v8.1.2. Released v6.4.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 13:29:26 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.53/0.67 % Version : CSE_E---1.5
% 0.53/0.67 % Problem : theBenchmark.p
% 0.53/0.67 % Proof found
% 0.53/0.67 % SZS status Theorem for theBenchmark.p
% 0.53/0.67 % SZS output start Proof
% See solution above
% 0.64/0.68 % Total time : 0.102000 s
% 0.64/0.68 % SZS output end Proof
% 0.64/0.68 % Total time : 0.108000 s
%------------------------------------------------------------------------------