%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG106+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/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 05:05:21 PM UTC 2026
% Result : Theorem 1.56s 1.80s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 11 unt; 0 def)
% Number of atoms : 278 ( 44 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 357 ( 142 ~; 149 |; 49 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 87 ( 4 sgn 40 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ! [X1,X2,X3] :
( ( aElementOf0(X1,slsdtgt0(xc))
& aElementOf0(X2,slsdtgt0(xc))
& aElement0(X3) )
=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
=> aIdeal0(slsdtgt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mDefPrIdeal,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( X2 = slsdtgt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(X1,X4) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(mMulUnit,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).
fof(m__1905,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(c_0_11,negated_conjecture,
~ ( ! [X1,X2,X3] :
( ( aElementOf0(X1,slsdtgt0(xc))
& aElementOf0(X2,slsdtgt0(xc))
& aElement0(X3) )
=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
=> aIdeal0(slsdtgt0(xc)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_12,negated_conjecture,
! [X198,X199,X200] :
( ( aElement0(esk21_3(X198,X199,X200))
| ~ aElementOf0(X198,slsdtgt0(xc))
| ~ aElementOf0(X199,slsdtgt0(xc))
| ~ aElement0(X200) )
& ( sdtasdt0(xc,esk21_3(X198,X199,X200)) = X198
| ~ aElementOf0(X198,slsdtgt0(xc))
| ~ aElementOf0(X199,slsdtgt0(xc))
| ~ aElement0(X200) )
& ( aElement0(esk22_3(X198,X199,X200))
| ~ aElementOf0(X198,slsdtgt0(xc))
| ~ aElementOf0(X199,slsdtgt0(xc))
| ~ aElement0(X200) )
& ( sdtasdt0(xc,esk22_3(X198,X199,X200)) = X199
| ~ aElementOf0(X198,slsdtgt0(xc))
| ~ aElementOf0(X199,slsdtgt0(xc))
| ~ aElement0(X200) )
& ( sdtpldt0(X198,X199) = sdtasdt0(xc,sdtpldt0(esk21_3(X198,X199,X200),esk22_3(X198,X199,X200)))
| ~ aElementOf0(X198,slsdtgt0(xc))
| ~ aElementOf0(X199,slsdtgt0(xc))
| ~ aElement0(X200) )
& ( sdtasdt0(X200,X198) = sdtasdt0(xc,sdtasdt0(esk21_3(X198,X199,X200),X200))
| ~ aElementOf0(X198,slsdtgt0(xc))
| ~ aElementOf0(X199,slsdtgt0(xc))
| ~ aElement0(X200) )
& ( aElementOf0(sdtpldt0(X198,X199),slsdtgt0(xc))
| ~ aElementOf0(X198,slsdtgt0(xc))
| ~ aElementOf0(X199,slsdtgt0(xc))
| ~ aElement0(X200) )
& ( aElementOf0(sdtasdt0(X200,X198),slsdtgt0(xc))
| ~ aElementOf0(X198,slsdtgt0(xc))
| ~ aElementOf0(X199,slsdtgt0(xc))
| ~ aElement0(X200) )
& ~ aIdeal0(slsdtgt0(xc)) ),
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_11])])])])])]) ).
fof(c_0_13,plain,
! [X148,X149,X150,X151,X152] :
( ( aSet0(X148)
| ~ aIdeal0(X148) )
& ( ~ aElementOf0(X150,X148)
| aElementOf0(sdtpldt0(X149,X150),X148)
| ~ aElementOf0(X149,X148)
| ~ aIdeal0(X148) )
& ( ~ aElement0(X151)
| aElementOf0(sdtasdt0(X151,X149),X148)
| ~ aElementOf0(X149,X148)
| ~ aIdeal0(X148) )
& ( aElementOf0(esk9_1(X152),X152)
| ~ aSet0(X152)
| aIdeal0(X152) )
& ( aElement0(esk11_1(X152))
| aElementOf0(esk10_1(X152),X152)
| ~ aSet0(X152)
| aIdeal0(X152) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X152),esk9_1(X152)),X152)
| aElementOf0(esk10_1(X152),X152)
| ~ aSet0(X152)
| aIdeal0(X152) )
& ( aElement0(esk11_1(X152))
| ~ aElementOf0(sdtpldt0(esk9_1(X152),esk10_1(X152)),X152)
| ~ aSet0(X152)
| aIdeal0(X152) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X152),esk9_1(X152)),X152)
| ~ aElementOf0(sdtpldt0(esk9_1(X152),esk10_1(X152)),X152)
| ~ aSet0(X152)
| aIdeal0(X152) ) ),
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)],[mDefIdeal])])])])])]) ).
fof(c_0_14,plain,
! [X120,X121] :
( ~ aSet0(X120)
| ~ aElementOf0(X121,X120)
| aElement0(X121) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X3,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( aElementOf0(esk9_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ aIdeal0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,plain,
! [X188,X189,X190,X192,X193,X194,X196] :
( ( aSet0(X189)
| X189 != slsdtgt0(X188)
| ~ aElement0(X188) )
& ( aElement0(esk18_3(X188,X189,X190))
| ~ aElementOf0(X190,X189)
| X189 != slsdtgt0(X188)
| ~ aElement0(X188) )
& ( sdtasdt0(X188,esk18_3(X188,X189,X190)) = X190
| ~ aElementOf0(X190,X189)
| X189 != slsdtgt0(X188)
| ~ aElement0(X188) )
& ( ~ aElement0(X193)
| sdtasdt0(X188,X193) != X192
| aElementOf0(X192,X189)
| X189 != slsdtgt0(X188)
| ~ aElement0(X188) )
& ( ~ aElementOf0(esk19_2(X188,X194),X194)
| ~ aElement0(X196)
| sdtasdt0(X188,X196) != esk19_2(X188,X194)
| ~ aSet0(X194)
| X194 = slsdtgt0(X188)
| ~ aElement0(X188) )
& ( aElement0(esk20_2(X188,X194))
| aElementOf0(esk19_2(X188,X194),X194)
| ~ aSet0(X194)
| X194 = slsdtgt0(X188)
| ~ aElement0(X188) )
& ( sdtasdt0(X188,esk20_2(X188,X194)) = esk19_2(X188,X194)
| aElementOf0(esk19_2(X188,X194),X194)
| ~ aSet0(X194)
| X194 = slsdtgt0(X188)
| ~ aElement0(X188) ) ),
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)],[mDefPrIdeal])])])])])]) ).
cnf(c_0_19,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,plain,
( aSet0(X1)
| X1 != slsdtgt0(X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( aElementOf0(X3,X4)
| ~ aElement0(X1)
| sdtasdt0(X2,X1) != X3
| X4 != slsdtgt0(X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X112] :
( ( sdtasdt0(X112,sz10) = X112
| ~ aElement0(X112) )
& ( X112 = sdtasdt0(sz10,X112)
| ~ aElement0(X112) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])]) ).
cnf(c_0_24,negated_conjecture,
( aElement0(sdtasdt0(X1,X2))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( aSet0(slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_26,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[m__1905]) ).
cnf(c_0_27,plain,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(X1))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_22])]) ).
cnf(c_0_28,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_30,negated_conjecture,
( aElement0(sdtasdt0(X1,X2))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_31,plain,
( aElementOf0(X1,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
fof(c_0_32,plain,
! [X116] :
( ( sdtasdt0(smndt0(sz10),X116) = smndt0(X116)
| ~ aElement0(X116) )
& ( smndt0(X116) = sdtasdt0(X116,smndt0(sz10))
| ~ aElement0(X116) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])]) ).
cnf(c_0_33,negated_conjecture,
( aElement0(sdtasdt0(X1,xc))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_26])]) ).
cnf(c_0_34,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_35,plain,
! [X95] :
( ~ aElement0(X95)
| aElement0(smndt0(X95)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
fof(c_0_36,plain,
! [X117] :
( ( sdtasdt0(X117,sz00) = sz00
| ~ aElement0(X117) )
& ( sz00 = sdtasdt0(sz00,X117)
| ~ aElement0(X117) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
cnf(c_0_37,negated_conjecture,
( aElement0(smndt0(xc))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_26])]) ).
cnf(c_0_38,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_41,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_42,negated_conjecture,
aElement0(smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_29])]) ).
cnf(c_0_43,negated_conjecture,
( aElementOf0(sz00,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_39]),c_0_40])]),c_0_19]) ).
cnf(c_0_44,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( aElement0(esk11_1(X1))
| aIdeal0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_46,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( aElementOf0(sz00,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_25]),c_0_26])]) ).
cnf(c_0_48,plain,
( aElementOf0(sz00,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_44]),c_0_40])]) ).
cnf(c_0_49,negated_conjecture,
( aElement0(esk11_1(slsdtgt0(xc)))
| ~ aElementOf0(esk10_1(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(esk9_1(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_17]) ).
cnf(c_0_50,plain,
( aElement0(esk11_1(X1))
| aElementOf0(esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_51,plain,
( aIdeal0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_52,negated_conjecture,
aElementOf0(sz00,slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_26])]) ).
cnf(c_0_53,negated_conjecture,
( aElement0(esk11_1(slsdtgt0(xc)))
| ~ aElementOf0(esk9_1(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_17]) ).
cnf(c_0_54,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk11_1(slsdtgt0(xc)),esk9_1(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aElementOf0(esk10_1(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(esk9_1(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_17]) ).
cnf(c_0_55,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
( aElement0(esk11_1(slsdtgt0(xc)))
| ~ aSet0(slsdtgt0(xc)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_16]),c_0_17]) ).
cnf(c_0_57,plain,
( aElementOf0(esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_58,negated_conjecture,
( ~ aElementOf0(esk10_1(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(esk9_1(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_59,negated_conjecture,
( aElementOf0(esk10_1(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(esk9_1(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc))
| ~ aElement0(esk11_1(slsdtgt0(xc))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_55]),c_0_17]) ).
cnf(c_0_60,negated_conjecture,
( ~ aElementOf0(esk9_1(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_56]) ).
cnf(c_0_61,negated_conjecture,
~ aSet0(slsdtgt0(xc)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_16]),c_0_17]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG106+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n008.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 : Tue May 5 01:50:58 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.56/1.80 % Version : CSE_E---1.7
% 1.56/1.80 % Problem : theBenchmark.p
% 1.56/1.80 % SZS status Theorem for theBenchmark.p
% 1.56/1.80 % SZS output start CNFRefutation
% See solution above
% 1.56/1.80 % Total time : 1.372s
%------------------------------------------------------------------------------