%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM138+1 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 : Tue May 5 04:13:19 PM UTC 2026
% Result : Theorem 18.34s 11.26s
% Output : CNFRefutation 18.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 17 unt; 0 def)
% Number of atoms : 257 ( 188 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 299 ( 102 ~; 142 |; 36 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-3 aty)
% Number of variables : 237 ( 24 sgn 104 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(subst1,axiom,
! [X11,X9,X1,X4,X6,X19,X21] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 != X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vvar(X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst1) ).
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-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(subst0,axiom,
! [X9,X21,X1,X4,X6,X19,X11] :
( ( X1 = X9
& X4 = X11
& X6 = vvar(X21) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = X11 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst0) ).
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(subst3,axiom,
! [X11,X9,X1,X4,X6,X19,X21,X15,X12] :
( ( X1 = X9
& X4 = X11
& X6 = vabs(X21,X15,X12) )
=> ( X9 = X21
=> ( X19 = vsubst(X1,X4,X6)
=> X19 = vabs(X21,X15,X12) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst3) ).
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(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(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('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,
! [X471,X472,X473,X474,X475,X476,X477] :
( X473 != X472
| X474 != X471
| X475 != vvar(X477)
| X472 = X477
| X476 != vsubst(X473,X474,X475)
| X476 = vvar(X477) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst1])]) ).
cnf(c_0_11,plain,
( X2 = X6
| X7 = vvar(X6)
| X1 != X2
| X3 != X4
| X5 != vvar(X6)
| X7 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_12,plain,
! [X364,X365,X366,X367] : vvar(X364) != vabs(X365,X366,X367),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_13,plain,
! [X602,X603,X604] :
( ( X602 = vapp(esk29_3(X602,X603,X604),esk30_3(X602,X603,X604))
| X602 = vabs(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),esk26_3(X602,X603,X604))
| X602 = vvar(esk24_3(X602,X603,X604))
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk29_3(X602,X603,X604),varrow(esk31_3(X602,X603,X604),X603))
| X602 = vabs(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),esk26_3(X602,X603,X604))
| X602 = vvar(esk24_3(X602,X603,X604))
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk30_3(X602,X603,X604),esk31_3(X602,X603,X604))
| X602 = vabs(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),esk26_3(X602,X603,X604))
| X602 = vvar(esk24_3(X602,X603,X604))
| ~ vtcheck(X604,X602,X603) )
& ( X602 = vapp(esk29_3(X602,X603,X604),esk30_3(X602,X603,X604))
| X603 = varrow(esk27_3(X602,X603,X604),esk28_3(X602,X603,X604))
| X602 = vvar(esk24_3(X602,X603,X604))
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk29_3(X602,X603,X604),varrow(esk31_3(X602,X603,X604),X603))
| X603 = varrow(esk27_3(X602,X603,X604),esk28_3(X602,X603,X604))
| X602 = vvar(esk24_3(X602,X603,X604))
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk30_3(X602,X603,X604),esk31_3(X602,X603,X604))
| X603 = varrow(esk27_3(X602,X603,X604),esk28_3(X602,X603,X604))
| X602 = vvar(esk24_3(X602,X603,X604))
| ~ vtcheck(X604,X602,X603) )
& ( X602 = vapp(esk29_3(X602,X603,X604),esk30_3(X602,X603,X604))
| vtcheck(vbind(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),X604),esk26_3(X602,X603,X604),esk28_3(X602,X603,X604))
| X602 = vvar(esk24_3(X602,X603,X604))
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk29_3(X602,X603,X604),varrow(esk31_3(X602,X603,X604),X603))
| vtcheck(vbind(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),X604),esk26_3(X602,X603,X604),esk28_3(X602,X603,X604))
| X602 = vvar(esk24_3(X602,X603,X604))
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk30_3(X602,X603,X604),esk31_3(X602,X603,X604))
| vtcheck(vbind(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),X604),esk26_3(X602,X603,X604),esk28_3(X602,X603,X604))
| X602 = vvar(esk24_3(X602,X603,X604))
| ~ vtcheck(X604,X602,X603) )
& ( X602 = vapp(esk29_3(X602,X603,X604),esk30_3(X602,X603,X604))
| X602 = vabs(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),esk26_3(X602,X603,X604))
| vlookup(esk24_3(X602,X603,X604),X604) = vsomeType(X603)
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk29_3(X602,X603,X604),varrow(esk31_3(X602,X603,X604),X603))
| X602 = vabs(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),esk26_3(X602,X603,X604))
| vlookup(esk24_3(X602,X603,X604),X604) = vsomeType(X603)
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk30_3(X602,X603,X604),esk31_3(X602,X603,X604))
| X602 = vabs(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),esk26_3(X602,X603,X604))
| vlookup(esk24_3(X602,X603,X604),X604) = vsomeType(X603)
| ~ vtcheck(X604,X602,X603) )
& ( X602 = vapp(esk29_3(X602,X603,X604),esk30_3(X602,X603,X604))
| X603 = varrow(esk27_3(X602,X603,X604),esk28_3(X602,X603,X604))
| vlookup(esk24_3(X602,X603,X604),X604) = vsomeType(X603)
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk29_3(X602,X603,X604),varrow(esk31_3(X602,X603,X604),X603))
| X603 = varrow(esk27_3(X602,X603,X604),esk28_3(X602,X603,X604))
| vlookup(esk24_3(X602,X603,X604),X604) = vsomeType(X603)
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk30_3(X602,X603,X604),esk31_3(X602,X603,X604))
| X603 = varrow(esk27_3(X602,X603,X604),esk28_3(X602,X603,X604))
| vlookup(esk24_3(X602,X603,X604),X604) = vsomeType(X603)
| ~ vtcheck(X604,X602,X603) )
& ( X602 = vapp(esk29_3(X602,X603,X604),esk30_3(X602,X603,X604))
| vtcheck(vbind(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),X604),esk26_3(X602,X603,X604),esk28_3(X602,X603,X604))
| vlookup(esk24_3(X602,X603,X604),X604) = vsomeType(X603)
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk29_3(X602,X603,X604),varrow(esk31_3(X602,X603,X604),X603))
| vtcheck(vbind(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),X604),esk26_3(X602,X603,X604),esk28_3(X602,X603,X604))
| vlookup(esk24_3(X602,X603,X604),X604) = vsomeType(X603)
| ~ vtcheck(X604,X602,X603) )
& ( vtcheck(X604,esk30_3(X602,X603,X604),esk31_3(X602,X603,X604))
| vtcheck(vbind(esk25_3(X602,X603,X604),esk27_3(X602,X603,X604),X604),esk26_3(X602,X603,X604),esk28_3(X602,X603,X604))
| vlookup(esk24_3(X602,X603,X604),X604) = vsomeType(X603)
| ~ vtcheck(X604,X602,X603) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
fof(c_0_14,plain,
! [X464,X465,X466,X467,X468,X469,X470] :
( X466 != X464
| X467 != X470
| X468 != vvar(X465)
| X464 != X465
| X469 != vsubst(X466,X467,X468)
| X469 = X470 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst0])]) ).
cnf(c_0_15,plain,
( X1 = vvar(X2)
| X3 = X2
| X1 != vsubst(X3,X4,X5)
| X5 != vvar(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])]) ).
cnf(c_0_16,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,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_13]) ).
fof(c_0_18,plain,
! [X368,X369,X370] : vvar(X368) != vapp(X369,X370),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
fof(c_0_19,plain,
! [X486,X487,X488,X489,X490,X491,X492,X493,X494] :
( X488 != X487
| X489 != X486
| X490 != vabs(X492,X493,X494)
| X487 != X492
| X491 != vsubst(X488,X489,X490)
| X491 = vabs(X492,X493,X494) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subst3])]) ).
cnf(c_0_20,plain,
( X7 = X4
| X1 != X2
| X3 != X4
| X5 != vvar(X6)
| X2 != X6
| X7 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( vsubst(X1,X2,X3) = vvar(X4)
| X1 = X4
| X3 != vvar(X4) ),
inference(er,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
| vvar(esk24_3(X1,X2,X3)) = X1
| vvar(X4) != X1
| ~ vtcheck(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,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_25,plain,
( X9 = vabs(X6,X7,X8)
| X1 != X2
| X3 != X4
| X5 != vabs(X6,X7,X8)
| X2 != X6
| X9 != vsubst(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( X1 = X2
| X2 != vsubst(X3,X1,X4)
| X4 != vvar(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])])]) ).
cnf(c_0_27,plain,
( vsubst(X1,X2,vvar(X3)) = vvar(X3)
| X1 = X3 ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( vvar(esk24_3(vvar(X1),X2,X3)) = vvar(X1)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_22]),c_0_23]) ).
fof(c_0_29,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_24])])]) ).
fof(c_0_30,plain,
! [X429,X430,X431,X432,X433,X434,X435] :
( X431 != X434
| X432 != vbind(X430,X429,X435)
| X434 = X430
| X433 != vlookup(X431,X432)
| X433 = vlookup(X434,X435) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
cnf(c_0_31,plain,
( X1 = vabs(X2,X3,X4)
| X1 != vsubst(X2,X5,X6)
| X6 != vabs(X2,X3,X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])])]) ).
cnf(c_0_32,plain,
( vsubst(X1,X2,X3) = X2
| X3 != vvar(X1) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( vsubst(X1,X2,vvar(X3)) = vvar(X3)
| X1 = esk24_3(vvar(X3),X4,X5)
| ~ vtcheck(X5,vvar(X3),X4) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,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_30]) ).
cnf(c_0_36,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_13]) ).
cnf(c_0_37,plain,
( vsubst(X1,X2,X3) = vabs(X1,X4,X5)
| X3 != vabs(X1,X4,X5) ),
inference(er,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
vsubst(X1,X2,vvar(X1)) = X2,
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( X1 = esk24_3(vvar(esk35_0),esk36_0,vbind(esk32_0,esk33_0,esk34_0))
| vsubst(X1,X2,vvar(esk35_0)) = vvar(esk35_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_40,plain,
! [X385,X386,X387,X388] :
( ( X387 != X388
| visFreeVar(X385,X386)
| X385 != X388
| X386 != vvar(X387) )
& ( ~ visFreeVar(X385,X386)
| X387 = X388
| X385 != X388
| X386 != vvar(X387) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
cnf(c_0_41,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X5 != vbind(X4,X6,X3)
| X1 != vlookup(X2,X5) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( vapp(esk29_3(X1,X2,X3),esk30_3(X1,X2,X3)) = X1
| vlookup(esk24_3(X1,X2,X3),X3) = vsomeType(X2)
| vvar(X4) != X1
| ~ vtcheck(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_36]) ).
cnf(c_0_43,plain,
vsubst(X1,X2,vabs(X1,X3,X4)) = vabs(X1,X3,X4),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( esk24_3(vvar(esk35_0),esk36_0,vbind(esk32_0,esk33_0,esk34_0)) = esk35_0
| vvar(esk35_0) = X1 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_45,plain,
! [X589,X590,X591] :
( vlookup(X590,X589) != vsomeType(X591)
| vtcheck(X589,vvar(X590),X591) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
cnf(c_0_46,plain,
( visFreeVar(X3,X4)
| X1 != X2
| X3 != X2
| X4 != vvar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X1 != vlookup(X2,vbind(X4,X5,X3)) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_48,plain,
( vlookup(esk24_3(vvar(X1),X2,X3),X3) = vsomeType(X2)
| ~ vtcheck(X3,vvar(X1),X2) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_42]),c_0_23]) ).
cnf(c_0_49,negated_conjecture,
esk24_3(vvar(esk35_0),esk36_0,vbind(esk32_0,esk33_0,esk34_0)) = esk35_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_16]) ).
cnf(c_0_50,negated_conjecture,
~ vtcheck(esk34_0,vvar(esk35_0),esk36_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_51,plain,
( vtcheck(X2,vvar(X1),X3)
| vlookup(X1,X2) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
~ visFreeVar(esk32_0,vvar(esk35_0)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_53,plain,
( visFreeVar(X1,X2)
| X2 != vvar(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_46])]) ).
cnf(c_0_54,plain,
( vlookup(X1,vbind(X2,X3,X4)) = vlookup(X1,X4)
| X1 = X2 ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_55,negated_conjecture,
vlookup(esk35_0,vbind(esk32_0,esk33_0,esk34_0)) = vsomeType(esk36_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_34])]) ).
cnf(c_0_56,negated_conjecture,
vsomeType(esk36_0) != vlookup(esk35_0,esk34_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
vvar(esk32_0) != vvar(esk35_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
esk32_0 = esk35_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM138+1 : TPTP v9.2.1. Released v6.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n010.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 16:21:51 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 18.34/11.26 % Version : CSE_E---1.7
% 18.34/11.26 % Problem : theBenchmark.p
% 18.34/11.26 % SZS status Theorem for theBenchmark.p
% 18.34/11.26 % SZS output start CNFRefutation
% See solution above
% 18.44/11.33 % Total time : 8.436s
%------------------------------------------------------------------------------