%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG093+2 : 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 : n025.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 05:05:18 PM UTC 2026
% Result : Theorem 117.58s 78.30s
% Output : CNFRefutation 118.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 75 ( 29 unt; 0 def)
% Number of atoms : 278 ( 20 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 313 ( 110 ~; 125 |; 51 &)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aSet0(sdtasasdt0(xI,xJ))
& ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X1,xI)
& aElementOf0(X1,xJ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> ( ! [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mDefSInt,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtasasdt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,X1)
& aElementOf0(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSInt) ).
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(m__1150,hypothesis,
( aSet0(xI)
& ! [X1] :
( aElementOf0(X1,xI)
=> ( ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X1,X2),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X1] :
( aElementOf0(X1,xJ)
=> ( ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X1,X2),xJ) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1150) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(c_0_8,negated_conjecture,
~ ( ( aSet0(sdtasasdt0(xI,xJ))
& ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X1,xI)
& aElementOf0(X1,xJ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> ( ! [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_9,plain,
! [X112,X113,X114,X115,X116,X117] :
( ( aSet0(X114)
| X114 != sdtasasdt0(X112,X113)
| ~ aSet0(X112)
| ~ aSet0(X113) )
& ( aElementOf0(X115,X112)
| ~ aElementOf0(X115,X114)
| X114 != sdtasasdt0(X112,X113)
| ~ aSet0(X112)
| ~ aSet0(X113) )
& ( aElementOf0(X115,X113)
| ~ aElementOf0(X115,X114)
| X114 != sdtasasdt0(X112,X113)
| ~ aSet0(X112)
| ~ aSet0(X113) )
& ( ~ aElementOf0(X116,X112)
| ~ aElementOf0(X116,X113)
| aElementOf0(X116,X114)
| X114 != sdtasasdt0(X112,X113)
| ~ aSet0(X112)
| ~ aSet0(X113) )
& ( ~ aElementOf0(esk8_3(X112,X113,X117),X117)
| ~ aElementOf0(esk8_3(X112,X113,X117),X112)
| ~ aElementOf0(esk8_3(X112,X113,X117),X113)
| ~ aSet0(X117)
| X117 = sdtasasdt0(X112,X113)
| ~ aSet0(X112)
| ~ aSet0(X113) )
& ( aElementOf0(esk8_3(X112,X113,X117),X112)
| aElementOf0(esk8_3(X112,X113,X117),X117)
| ~ aSet0(X117)
| X117 = sdtasasdt0(X112,X113)
| ~ aSet0(X112)
| ~ aSet0(X113) )
& ( aElementOf0(esk8_3(X112,X113,X117),X113)
| aElementOf0(esk8_3(X112,X113,X117),X117)
| ~ aSet0(X117)
| X117 = sdtasasdt0(X112,X113)
| ~ aSet0(X112)
| ~ aSet0(X113) ) ),
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)],[mDefSInt])])])])])]) ).
fof(c_0_10,negated_conjecture,
! [X135] :
( aSet0(sdtasasdt0(xI,xJ))
& ( aElementOf0(X135,xI)
| ~ aElementOf0(X135,sdtasasdt0(xI,xJ)) )
& ( aElementOf0(X135,xJ)
| ~ aElementOf0(X135,sdtasasdt0(xI,xJ)) )
& ( ~ aElementOf0(X135,xI)
| ~ aElementOf0(X135,xJ)
| aElementOf0(X135,sdtasasdt0(xI,xJ)) )
& aElementOf0(esk12_0,sdtasasdt0(xI,xJ))
& ( aElement0(esk14_0)
| aElementOf0(esk13_0,sdtasasdt0(xI,xJ)) )
& ( ~ aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))
| aElementOf0(esk13_0,sdtasasdt0(xI,xJ)) )
& ( aElement0(esk14_0)
| ~ aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ)) )
& ( ~ aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
fof(c_0_11,plain,
! [X119,X120,X121,X122,X123] :
( ( aSet0(X119)
| ~ aIdeal0(X119) )
& ( ~ aElementOf0(X121,X119)
| aElementOf0(sdtpldt0(X120,X121),X119)
| ~ aElementOf0(X120,X119)
| ~ aIdeal0(X119) )
& ( ~ aElement0(X122)
| aElementOf0(sdtasdt0(X122,X120),X119)
| ~ aElementOf0(X120,X119)
| ~ aIdeal0(X119) )
& ( aElementOf0(esk9_1(X123),X123)
| ~ aSet0(X123)
| aIdeal0(X123) )
& ( aElement0(esk11_1(X123))
| aElementOf0(esk10_1(X123),X123)
| ~ aSet0(X123)
| aIdeal0(X123) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X123),esk9_1(X123)),X123)
| aElementOf0(esk10_1(X123),X123)
| ~ aSet0(X123)
| aIdeal0(X123) )
& ( aElement0(esk11_1(X123))
| ~ aElementOf0(sdtpldt0(esk9_1(X123),esk10_1(X123)),X123)
| ~ aSet0(X123)
| aIdeal0(X123) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X123),esk9_1(X123)),X123)
| ~ aElementOf0(sdtpldt0(esk9_1(X123),esk10_1(X123)),X123)
| ~ aSet0(X123)
| aIdeal0(X123) ) ),
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])])])])])]) ).
cnf(c_0_12,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtasasdt0(X4,X2)
| ~ aSet0(X4)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
~ aIdeal0(sdtasasdt0(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( aElementOf0(esk9_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
aSet0(sdtasasdt0(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,hypothesis,
! [X129,X130,X131,X132,X133,X134] :
( aSet0(xI)
& ( ~ aElementOf0(X130,xI)
| aElementOf0(sdtpldt0(X129,X130),xI)
| ~ aElementOf0(X129,xI) )
& ( ~ aElement0(X131)
| aElementOf0(sdtasdt0(X131,X129),xI)
| ~ aElementOf0(X129,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ( ~ aElementOf0(X133,xJ)
| aElementOf0(sdtpldt0(X132,X133),xJ)
| ~ aElementOf0(X132,xJ) )
& ( ~ aElement0(X134)
| aElementOf0(sdtasdt0(X134,X132),xJ)
| ~ aElementOf0(X132,xJ) )
& aIdeal0(xJ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1150])])])]) ).
cnf(c_0_17,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtasasdt0(X3,X2))
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_19,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,hypothesis,
aSet0(xJ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_23,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_24,plain,
! [X91,X92] :
( ~ aSet0(X91)
| ~ aElementOf0(X92,X91)
| aElement0(X92) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_25,negated_conjecture,
( aElementOf0(X1,xI)
| ~ aElementOf0(X1,sdtasasdt0(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
aElementOf0(esk12_0,sdtasasdt0(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
( aElementOf0(X1,xJ)
| ~ aElementOf0(X1,sdtasasdt0(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,negated_conjecture,
( aElementOf0(sdtasdt0(X1,esk9_1(sdtasasdt0(xI,xJ))),xJ)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_29,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
fof(c_0_30,plain,
! [X88] :
( ( sdtasdt0(X88,sz00) = sz00
| ~ aElement0(X88) )
& ( sz00 = sdtasdt0(sz00,X88)
| ~ aElement0(X88) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
cnf(c_0_31,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
aElementOf0(esk12_0,xI),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_34,negated_conjecture,
aElementOf0(esk12_0,xJ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
aElementOf0(sdtasdt0(sz00,esk9_1(sdtasasdt0(xI,xJ))),xJ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
aElement0(esk9_1(sdtasasdt0(xI,xJ))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_18]),c_0_15])]) ).
cnf(c_0_38,negated_conjecture,
( aElementOf0(sdtasdt0(X1,esk12_0),xI)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_32]),c_0_33])]) ).
cnf(c_0_39,negated_conjecture,
( aElement0(esk14_0)
| aElementOf0(esk13_0,sdtasasdt0(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_40,negated_conjecture,
( aElementOf0(sdtasdt0(X1,esk12_0),xJ)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_34]),c_0_23])]) ).
cnf(c_0_41,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtasasdt0(X2,X4)
| ~ aSet0(X2)
| ~ aSet0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_42,plain,
( aElementOf0(sdtpldt0(X3,X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X2)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_43,negated_conjecture,
aElementOf0(sz00,xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_44,negated_conjecture,
( aElementOf0(esk13_0,sdtasasdt0(xI,xJ))
| aElementOf0(sdtasdt0(esk14_0,esk12_0),xI) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,negated_conjecture,
( aElementOf0(esk13_0,sdtasasdt0(xI,xJ))
| aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_46,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( aElementOf0(sdtpldt0(sz00,X1),xJ)
| ~ aElementOf0(X1,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_23])]) ).
cnf(c_0_48,negated_conjecture,
( aElementOf0(X1,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X1,xJ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_49,negated_conjecture,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)
| aElementOf0(esk13_0,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_44]),c_0_19]),c_0_20])]) ).
cnf(c_0_50,negated_conjecture,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)
| aElementOf0(esk13_0,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_45]),c_0_19]),c_0_20])]) ).
cnf(c_0_51,negated_conjecture,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)
| aElementOf0(esk13_0,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_20]),c_0_19])]) ).
cnf(c_0_52,negated_conjecture,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)
| aElementOf0(esk13_0,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_45]),c_0_20]),c_0_19])]) ).
cnf(c_0_53,negated_conjecture,
aElementOf0(sdtpldt0(sz00,esk12_0),xJ),
inference(spm,[status(thm)],[c_0_47,c_0_34]) ).
cnf(c_0_54,negated_conjecture,
( aElementOf0(esk13_0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_55,negated_conjecture,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))
| aElementOf0(esk13_0,xJ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
cnf(c_0_56,negated_conjecture,
( aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))
| aElementOf0(esk13_0,xI) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_51]),c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( aElementOf0(sdtpldt0(sdtpldt0(sz00,esk12_0),X1),xJ)
| ~ aElementOf0(X1,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_23])]) ).
cnf(c_0_58,negated_conjecture,
aElementOf0(esk13_0,xJ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_27]) ).
fof(c_0_59,plain,
! [X76] :
( ( sdtpldt0(X76,sz00) = X76
| ~ aElement0(X76) )
& ( X76 = sdtpldt0(sz00,X76)
| ~ aElement0(X76) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
cnf(c_0_60,negated_conjecture,
( aElementOf0(sdtpldt0(esk12_0,X1),xI)
| ~ aElementOf0(X1,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_32]),c_0_33])]) ).
cnf(c_0_61,negated_conjecture,
aElementOf0(esk13_0,xI),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_56]),c_0_25]) ).
cnf(c_0_62,negated_conjecture,
aElementOf0(sdtpldt0(sdtpldt0(sz00,esk12_0),esk13_0),xJ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_64,negated_conjecture,
aElement0(esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_15])]) ).
cnf(c_0_65,negated_conjecture,
aElementOf0(sdtpldt0(esk12_0,esk13_0),xI),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
aElementOf0(sdtpldt0(esk12_0,esk13_0),xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
cnf(c_0_67,negated_conjecture,
( aElement0(esk14_0)
| ~ aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_68,negated_conjecture,
aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_65]),c_0_66])]) ).
cnf(c_0_69,negated_conjecture,
aElement0(esk14_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_70,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_71,negated_conjecture,
aElementOf0(sdtasdt0(esk14_0,esk12_0),xI),
inference(spm,[status(thm)],[c_0_38,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
~ aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_68])]) ).
cnf(c_0_73,negated_conjecture,
~ aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_71]),c_0_72]) ).
cnf(c_0_74,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_69]),c_0_73]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG093+2 : 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
% 0.15/0.33 % Computer : n025.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:49:58 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 117.58/78.30 % Version : CSE_E---1.7
% 117.58/78.30 % Problem : theBenchmark.p
% 117.58/78.30 % SZS status Theorem for theBenchmark.p
% 117.58/78.30 % SZS output start CNFRefutation
% See solution above
% 118.18/78.90 % Total time : 56.646s
%------------------------------------------------------------------------------