%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM127+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 : n008.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 04:13:17 PM UTC 2026
% Result : Theorem 18.41s 11.36s
% Output : CNFRefutation 18.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 59 ( 16 unt; 0 def)
% Number of atoms : 235 ( 140 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 264 ( 88 ~; 128 |; 33 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-3 aty)
% Number of variables : 208 ( 31 sgn 87 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lookup1,axiom,
! [X20,X9,X21,X1,X16,X19,X22] :
( ( X1 = X9
& X16 = vbind(X21,X22,X20) )
=> ( X9 = X21
=> ( X19 = vlookup(X1,X16)
=> X19 = vsomeType(X22) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup1) ).
fof('T-Strong',axiom,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(vbind(X9,X10,X20),X11,X15) )
=> vtcheck(X20,X11,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Strong') ).
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('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('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('T-Weak-FreeVar-var',conjecture,
! [X9,X10,X20,X21,X15] :
( ( ~ visFreeVar(X9,vvar(X21))
& vtcheck(X20,vvar(X21),X15) )
=> vtcheck(vbind(X9,X10,X20),vvar(X21),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-var') ).
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(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(c_0_9,plain,
! [X427,X428,X429,X430,X431,X432,X433] :
( X430 != X428
| X431 != vbind(X429,X433,X427)
| X428 != X429
| X432 != vlookup(X430,X431)
| X432 = vsomeType(X433) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup1])]) ).
fof(c_0_10,plain,
! [X9,X10,X20,X11,X15] :
( ( ~ visFreeVar(X9,X11)
& vtcheck(vbind(X9,X10,X20),X11,X15) )
=> vtcheck(X20,X11,X15) ),
inference(fof_simplification,[status(thm)],['T-Strong']) ).
cnf(c_0_11,plain,
( X7 = vsomeType(X5)
| X1 != X2
| X3 != vbind(X4,X5,X6)
| X2 != X4
| X7 != vlookup(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X623,X624,X625,X626,X627] :
( visFreeVar(X623,X626)
| ~ vtcheck(vbind(X623,X624,X625),X626,X627)
| vtcheck(X625,X626,X627) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_13,plain,
! [X594,X595,X596] :
( vlookup(X595,X594) != vsomeType(X596)
| vtcheck(X594,vvar(X595),X596) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-var'])]) ).
cnf(c_0_14,plain,
( X1 = vsomeType(X2)
| X3 != vbind(X4,X2,X5)
| X1 != vlookup(X4,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])]) ).
cnf(c_0_15,plain,
( visFreeVar(X1,X2)
| vtcheck(X4,X2,X5)
| ~ vtcheck(vbind(X1,X3,X4),X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( vtcheck(X2,vvar(X1),X3)
| vlookup(X1,X2) != vsomeType(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( X1 = vsomeType(X2)
| X1 != vlookup(X3,vbind(X3,X2,X4)) ),
inference(er,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X369,X370,X371,X372] : vvar(X369) != vabs(X370,X371,X372),
inference(variable_rename,[status(thm)],['DIFF-var-abs']) ).
fof(c_0_19,plain,
! [X607,X608,X609] :
( ( X607 = vapp(esk29_3(X607,X608,X609),esk30_3(X607,X608,X609))
| X607 = vabs(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),esk26_3(X607,X608,X609))
| X607 = vvar(esk24_3(X607,X608,X609))
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk29_3(X607,X608,X609),varrow(esk31_3(X607,X608,X609),X608))
| X607 = vabs(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),esk26_3(X607,X608,X609))
| X607 = vvar(esk24_3(X607,X608,X609))
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk30_3(X607,X608,X609),esk31_3(X607,X608,X609))
| X607 = vabs(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),esk26_3(X607,X608,X609))
| X607 = vvar(esk24_3(X607,X608,X609))
| ~ vtcheck(X609,X607,X608) )
& ( X607 = vapp(esk29_3(X607,X608,X609),esk30_3(X607,X608,X609))
| X608 = varrow(esk27_3(X607,X608,X609),esk28_3(X607,X608,X609))
| X607 = vvar(esk24_3(X607,X608,X609))
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk29_3(X607,X608,X609),varrow(esk31_3(X607,X608,X609),X608))
| X608 = varrow(esk27_3(X607,X608,X609),esk28_3(X607,X608,X609))
| X607 = vvar(esk24_3(X607,X608,X609))
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk30_3(X607,X608,X609),esk31_3(X607,X608,X609))
| X608 = varrow(esk27_3(X607,X608,X609),esk28_3(X607,X608,X609))
| X607 = vvar(esk24_3(X607,X608,X609))
| ~ vtcheck(X609,X607,X608) )
& ( X607 = vapp(esk29_3(X607,X608,X609),esk30_3(X607,X608,X609))
| vtcheck(vbind(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),X609),esk26_3(X607,X608,X609),esk28_3(X607,X608,X609))
| X607 = vvar(esk24_3(X607,X608,X609))
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk29_3(X607,X608,X609),varrow(esk31_3(X607,X608,X609),X608))
| vtcheck(vbind(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),X609),esk26_3(X607,X608,X609),esk28_3(X607,X608,X609))
| X607 = vvar(esk24_3(X607,X608,X609))
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk30_3(X607,X608,X609),esk31_3(X607,X608,X609))
| vtcheck(vbind(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),X609),esk26_3(X607,X608,X609),esk28_3(X607,X608,X609))
| X607 = vvar(esk24_3(X607,X608,X609))
| ~ vtcheck(X609,X607,X608) )
& ( X607 = vapp(esk29_3(X607,X608,X609),esk30_3(X607,X608,X609))
| X607 = vabs(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),esk26_3(X607,X608,X609))
| vlookup(esk24_3(X607,X608,X609),X609) = vsomeType(X608)
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk29_3(X607,X608,X609),varrow(esk31_3(X607,X608,X609),X608))
| X607 = vabs(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),esk26_3(X607,X608,X609))
| vlookup(esk24_3(X607,X608,X609),X609) = vsomeType(X608)
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk30_3(X607,X608,X609),esk31_3(X607,X608,X609))
| X607 = vabs(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),esk26_3(X607,X608,X609))
| vlookup(esk24_3(X607,X608,X609),X609) = vsomeType(X608)
| ~ vtcheck(X609,X607,X608) )
& ( X607 = vapp(esk29_3(X607,X608,X609),esk30_3(X607,X608,X609))
| X608 = varrow(esk27_3(X607,X608,X609),esk28_3(X607,X608,X609))
| vlookup(esk24_3(X607,X608,X609),X609) = vsomeType(X608)
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk29_3(X607,X608,X609),varrow(esk31_3(X607,X608,X609),X608))
| X608 = varrow(esk27_3(X607,X608,X609),esk28_3(X607,X608,X609))
| vlookup(esk24_3(X607,X608,X609),X609) = vsomeType(X608)
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk30_3(X607,X608,X609),esk31_3(X607,X608,X609))
| X608 = varrow(esk27_3(X607,X608,X609),esk28_3(X607,X608,X609))
| vlookup(esk24_3(X607,X608,X609),X609) = vsomeType(X608)
| ~ vtcheck(X609,X607,X608) )
& ( X607 = vapp(esk29_3(X607,X608,X609),esk30_3(X607,X608,X609))
| vtcheck(vbind(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),X609),esk26_3(X607,X608,X609),esk28_3(X607,X608,X609))
| vlookup(esk24_3(X607,X608,X609),X609) = vsomeType(X608)
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk29_3(X607,X608,X609),varrow(esk31_3(X607,X608,X609),X608))
| vtcheck(vbind(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),X609),esk26_3(X607,X608,X609),esk28_3(X607,X608,X609))
| vlookup(esk24_3(X607,X608,X609),X609) = vsomeType(X608)
| ~ vtcheck(X609,X607,X608) )
& ( vtcheck(X609,esk30_3(X607,X608,X609),esk31_3(X607,X608,X609))
| vtcheck(vbind(esk25_3(X607,X608,X609),esk27_3(X607,X608,X609),X609),esk26_3(X607,X608,X609),esk28_3(X607,X608,X609))
| vlookup(esk24_3(X607,X608,X609),X609) = vsomeType(X608)
| ~ vtcheck(X609,X607,X608) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['T-inv'])])])]) ).
cnf(c_0_20,plain,
( vtcheck(X1,vvar(X2),X3)
| visFreeVar(X4,vvar(X2))
| vlookup(X2,vbind(X4,X5,X1)) != vsomeType(X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
vlookup(X1,vbind(X1,X2,X3)) = vsomeType(X2),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
vvar(X1) != vabs(X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,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_19]) ).
fof(c_0_24,plain,
! [X373,X374,X375] : vvar(X373) != vapp(X374,X375),
inference(variable_rename,[status(thm)],['DIFF-var-app']) ).
cnf(c_0_25,plain,
( vtcheck(X1,vvar(X2),X3)
| visFreeVar(X2,vvar(X2))
| vsomeType(X4) != vsomeType(X3) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,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_22,c_0_23]) ).
cnf(c_0_27,plain,
vvar(X1) != vapp(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_28,negated_conjecture,
~ ! [X9,X10,X20,X21,X15] :
( ( ~ visFreeVar(X9,vvar(X21))
& vtcheck(X20,vvar(X21),X15) )
=> vtcheck(vbind(X9,X10,X20),vvar(X21),X15) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['T-Weak-FreeVar-var'])]) ).
fof(c_0_29,plain,
! [X390,X391,X392,X393] :
( ( X392 != X393
| visFreeVar(X390,X391)
| X390 != X393
| X391 != vvar(X392) )
& ( ~ visFreeVar(X390,X391)
| X392 = X393
| X390 != X393
| X391 != vvar(X392) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[isFreeVar0])])]) ).
cnf(c_0_30,plain,
( vtcheck(X1,vvar(X2),X3)
| visFreeVar(X2,vvar(X2)) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_31,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_26]),c_0_27]) ).
fof(c_0_32,negated_conjecture,
( ~ visFreeVar(esk32_0,vvar(esk35_0))
& vtcheck(esk34_0,vvar(esk35_0),esk36_0)
& ~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_33,plain,
! [X434,X435,X436,X437,X438,X439,X440] :
( X436 != X439
| X437 != vbind(X435,X434,X440)
| X439 = X435
| X438 != vlookup(X436,X437)
| X438 = vlookup(X439,X440) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lookup2])]) ).
cnf(c_0_34,plain,
( X3 = X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| X2 != vvar(X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( vtcheck(X1,vvar(X2),X3)
| visFreeVar(esk24_3(vvar(X2),X4,X5),vvar(X2))
| ~ vtcheck(X5,vvar(X2),X4) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
vtcheck(esk34_0,vvar(esk35_0),esk36_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,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_33]) ).
cnf(c_0_38,plain,
( X1 = X2
| X3 != vvar(X1)
| ~ visFreeVar(X2,X3) ),
inference(er,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
( vtcheck(X1,vvar(esk35_0),X2)
| visFreeVar(esk24_3(vvar(esk35_0),esk36_0,esk34_0),vvar(esk35_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X5 != vbind(X4,X6,X3)
| X1 != vlookup(X2,X5) ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_41,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_19]) ).
cnf(c_0_42,negated_conjecture,
( X1 = esk24_3(vvar(esk35_0),esk36_0,esk34_0)
| vtcheck(X2,vvar(esk35_0),X3)
| vvar(esk35_0) != vvar(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
~ vtcheck(vbind(esk32_0,esk33_0,esk34_0),vvar(esk35_0),esk36_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,plain,
( X1 = vlookup(X2,X3)
| X2 = X4
| X1 != vlookup(X2,vbind(X4,X5,X3)) ),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_45,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_22,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( esk24_3(vvar(esk35_0),esk36_0,esk34_0) = esk35_0
| vtcheck(X1,vvar(esk35_0),X2) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_47,plain,
( visFreeVar(X3,X4)
| X1 != X2
| X3 != X2
| X4 != vvar(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_48,negated_conjecture,
vlookup(esk35_0,vbind(esk32_0,esk33_0,esk34_0)) != vsomeType(esk36_0),
inference(spm,[status(thm)],[c_0_43,c_0_16]) ).
cnf(c_0_49,plain,
( vlookup(X1,vbind(X2,X3,X4)) = vlookup(X1,X4)
| X1 = X2 ),
inference(er,[status(thm)],[c_0_44]) ).
cnf(c_0_50,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_45]),c_0_27]) ).
cnf(c_0_51,negated_conjecture,
esk24_3(vvar(esk35_0),esk36_0,esk34_0) = esk35_0,
inference(spm,[status(thm)],[c_0_43,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
~ visFreeVar(esk32_0,vvar(esk35_0)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_53,plain,
( visFreeVar(X1,X2)
| X2 != vvar(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_47])]) ).
cnf(c_0_54,negated_conjecture,
( esk32_0 = esk35_0
| vsomeType(esk36_0) != vlookup(esk35_0,esk34_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
vsomeType(esk36_0) = vlookup(esk35_0,esk34_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_36])]) ).
cnf(c_0_56,negated_conjecture,
vvar(esk32_0) != vvar(esk35_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
esk32_0 = esk35_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM127+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
% 0.15/0.32 % Computer : n008.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 16:22:28 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 18.41/11.36 % Version : CSE_E---1.7
% 18.41/11.36 % Problem : theBenchmark.p
% 18.41/11.36 % SZS status Theorem for theBenchmark.p
% 18.41/11.36 % SZS output start CNFRefutation
% See solution above
% 18.52/11.43 % Total time : 8.437s
%------------------------------------------------------------------------------