TSTP Solution File: RNG112+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG112+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 : 600s
% DateTime : Mon Jul 18 20:26:57 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 11 unt; 0 def)
% Number of atoms : 317 ( 127 equ)
% Maximal formula atoms : 68 ( 8 avg)
% Number of connectives : 430 ( 152 ~; 172 |; 94 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 100 ( 5 sgn 40 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2228,hypothesis,
? [X1] :
( ! [X2] :
( aElementOf0(X2,slsdtgt0(xa))
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xa,X3) = X2 ) )
& ! [X2] :
( aElementOf0(X2,slsdtgt0(xb))
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 ) )
& ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
& aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X1 != sz00 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2228) ).
fof(m__2174,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)
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xb))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xb,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,xI)
<=> ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2174) ).
fof(m__,conjecture,
? [X1] :
( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00
& ! [X2] :
( ( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__2351,hypothesis,
! [X1] :
( ( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00 )
=> ? [X2] :
( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00
& ! [X3] :
( ( ( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
| aElementOf0(X3,xI) )
& X3 != sz00 )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2351) ).
fof(c_0_4,hypothesis,
! [X5,X5,X7,X8,X8,X10] :
( ( aElement0(esk13_1(X5))
| ~ aElementOf0(X5,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk13_1(X5)) = X5
| ~ aElementOf0(X5,slsdtgt0(xa)) )
& ( ~ aElement0(X7)
| sdtasdt0(xa,X7) != X5
| aElementOf0(X5,slsdtgt0(xa)) )
& ( aElement0(esk14_1(X8))
| ~ aElementOf0(X8,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk14_1(X8)) = X8
| ~ aElementOf0(X8,slsdtgt0(xb)) )
& ( ~ aElement0(X10)
| sdtasdt0(xb,X10) != X8
| aElementOf0(X8,slsdtgt0(xb)) )
& aElementOf0(esk15_0,slsdtgt0(xa))
& aElementOf0(esk16_0,slsdtgt0(xb))
& sdtpldt0(esk15_0,esk16_0) = esk12_0
& aElementOf0(esk12_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& esk12_0 != sz00 ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2228])])])])])])]) ).
fof(c_0_5,hypothesis,
! [X4,X5,X6,X7,X7,X9,X10,X10,X12,X13,X13,X16,X17] :
( aSet0(xI)
& ( ~ aElementOf0(X5,xI)
| aElementOf0(sdtpldt0(X4,X5),xI)
| ~ aElementOf0(X4,xI) )
& ( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),xI)
| ~ aElementOf0(X4,xI) )
& aIdeal0(xI)
& ( aElement0(esk4_1(X7))
| ~ aElementOf0(X7,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk4_1(X7)) = X7
| ~ aElementOf0(X7,slsdtgt0(xa)) )
& ( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7
| aElementOf0(X7,slsdtgt0(xa)) )
& ( aElement0(esk5_1(X10))
| ~ aElementOf0(X10,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk5_1(X10)) = X10
| ~ aElementOf0(X10,slsdtgt0(xb)) )
& ( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10
| aElementOf0(X10,slsdtgt0(xb)) )
& ( aElementOf0(esk6_1(X13),slsdtgt0(xa))
| ~ aElementOf0(X13,xI) )
& ( aElementOf0(esk7_1(X13),slsdtgt0(xb))
| ~ aElementOf0(X13,xI) )
& ( sdtpldt0(esk6_1(X13),esk7_1(X13)) = X13
| ~ aElementOf0(X13,xI) )
& ( ~ aElementOf0(X16,slsdtgt0(xa))
| ~ aElementOf0(X17,slsdtgt0(xb))
| sdtpldt0(X16,X17) != X13
| aElementOf0(X13,xI) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2174])])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ? [X1] :
( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00
& ! [X2] :
( ( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_7,hypothesis,
! [X6,X7,X8,X12,X13,X14] :
( ( aElementOf0(esk18_0,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00 )
& ( aElementOf0(esk19_0,slsdtgt0(xb))
| ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00 )
& ( sdtpldt0(esk18_0,esk19_0) = esk17_0
| ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00 )
& ( aElementOf0(esk17_0,xI)
| ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00 )
& ( esk17_0 != sz00
| ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00 )
& ( ~ aElementOf0(X13,slsdtgt0(xa))
| ~ aElementOf0(X14,slsdtgt0(xb))
| sdtpldt0(X13,X14) != X12
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(esk17_0))
| ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00 )
& ( ~ aElementOf0(X12,xI)
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(esk17_0))
| ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00 )
& ( aElementOf0(esk18_0,slsdtgt0(xa))
| ~ aElementOf0(X6,xI)
| X6 = sz00 )
& ( aElementOf0(esk19_0,slsdtgt0(xb))
| ~ aElementOf0(X6,xI)
| X6 = sz00 )
& ( sdtpldt0(esk18_0,esk19_0) = esk17_0
| ~ aElementOf0(X6,xI)
| X6 = sz00 )
& ( aElementOf0(esk17_0,xI)
| ~ aElementOf0(X6,xI)
| X6 = sz00 )
& ( esk17_0 != sz00
| ~ aElementOf0(X6,xI)
| X6 = sz00 )
& ( ~ aElementOf0(X13,slsdtgt0(xa))
| ~ aElementOf0(X14,slsdtgt0(xb))
| sdtpldt0(X13,X14) != X12
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(esk17_0))
| ~ aElementOf0(X6,xI)
| X6 = sz00 )
& ( ~ aElementOf0(X12,xI)
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(esk17_0))
| ~ aElementOf0(X6,xI)
| X6 = sz00 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[m__2351])])])])])])])]) ).
cnf(c_0_8,hypothesis,
aElementOf0(esk12_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,hypothesis,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_10,negated_conjecture,
! [X5,X6,X7] :
( ( aElementOf0(esk21_1(X5),slsdtgt0(xa))
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( aElementOf0(esk22_1(X5),slsdtgt0(xb))
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( sdtpldt0(esk21_1(X5),esk22_1(X5)) = esk20_1(X5)
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( aElementOf0(esk20_1(X5),xI)
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( esk20_1(X5) != sz00
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( iLess0(sbrdtbr0(esk20_1(X5)),sbrdtbr0(X5))
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( aElementOf0(esk21_1(X5),slsdtgt0(xa))
| ~ aElementOf0(X5,xI)
| X5 = sz00 )
& ( aElementOf0(esk22_1(X5),slsdtgt0(xb))
| ~ aElementOf0(X5,xI)
| X5 = sz00 )
& ( sdtpldt0(esk21_1(X5),esk22_1(X5)) = esk20_1(X5)
| ~ aElementOf0(X5,xI)
| X5 = sz00 )
& ( aElementOf0(esk20_1(X5),xI)
| ~ aElementOf0(X5,xI)
| X5 = sz00 )
& ( esk20_1(X5) != sz00
| ~ aElementOf0(X5,xI)
| X5 = sz00 )
& ( iLess0(sbrdtbr0(esk20_1(X5)),sbrdtbr0(X5))
| ~ aElementOf0(X5,xI)
| X5 = sz00 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])])])])])])])]) ).
cnf(c_0_11,hypothesis,
( X1 = sz00
| sdtpldt0(esk18_0,esk19_0) = esk17_0
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
aElementOf0(esk12_0,xI),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
esk12_0 != sz00,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,hypothesis,
( X1 = sz00
| aElementOf0(esk19_0,slsdtgt0(xb))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,hypothesis,
( X1 = sz00
| aElementOf0(esk18_0,slsdtgt0(xa))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
( X1 = sz00
| iLess0(sbrdtbr0(esk20_1(X1)),sbrdtbr0(X1))
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,hypothesis,
sdtpldt0(esk18_0,esk19_0) = esk17_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_18,hypothesis,
aElementOf0(esk19_0,slsdtgt0(xb)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_13]) ).
cnf(c_0_19,hypothesis,
aElementOf0(esk18_0,slsdtgt0(xa)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_12]),c_0_13]) ).
cnf(c_0_20,hypothesis,
( X1 = sz00
| ~ aElementOf0(X1,xI)
| esk17_0 != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,negated_conjecture,
( X1 = sz00
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa))
| esk20_1(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,hypothesis,
( X1 = sz00
| X2 = sz00
| ~ aElementOf0(X1,xI)
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk17_0))
| sdtpldt0(X3,X4) != X2
| ~ aElementOf0(X4,slsdtgt0(xb))
| ~ aElementOf0(X3,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_23,negated_conjecture,
( X1 = sz00
| iLess0(sbrdtbr0(esk20_1(X1)),sbrdtbr0(X1))
| esk17_0 != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_24,hypothesis,
sz00 != esk17_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_12]),c_0_13]) ).
cnf(c_0_25,hypothesis,
( aElementOf0(X1,xI)
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26,negated_conjecture,
( sdtpldt0(X1,X2) = sz00
| esk20_1(sdtpldt0(X1,X2)) != sz00
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_27,hypothesis,
( esk20_1(esk17_0) = sz00
| X1 = sz00
| sdtpldt0(X2,X3) != esk20_1(esk17_0)
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X1,xI) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_28,hypothesis,
( aElementOf0(X1,xI)
| esk17_0 != X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_29,negated_conjecture,
esk20_1(esk17_0) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_24]),c_0_18]),c_0_19])]) ).
cnf(c_0_30,hypothesis,
( X1 = sz00
| sdtpldt0(X2,X3) != esk20_1(esk17_0)
| esk17_0 != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_31,hypothesis,
( sdtpldt0(X1,X2) != esk20_1(esk17_0)
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_30]),c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( X1 = sz00
| sdtpldt0(esk21_1(X1),esk22_1(X1)) = esk20_1(X1)
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,negated_conjecture,
( X1 = sz00
| aElementOf0(esk21_1(X1),slsdtgt0(xa))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_34,negated_conjecture,
( X1 = sz00
| aElementOf0(esk22_1(X1),slsdtgt0(xb))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,hypothesis,
( X1 = sz00
| aElementOf0(esk17_0,xI)
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_36,negated_conjecture,
( X1 = sz00
| esk20_1(X1) != esk20_1(esk17_0)
| ~ aElementOf0(X1,xI) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_37,hypothesis,
aElementOf0(esk17_0,xI),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_12]),c_0_13]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_36]),c_0_37])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG112+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 05:24:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.029 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 39
% 0.23/1.42 # Proof object clause steps : 30
% 0.23/1.42 # Proof object formula steps : 9
% 0.23/1.42 # Proof object conjectures : 13
% 0.23/1.42 # Proof object clause conjectures : 10
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 15
% 0.23/1.42 # Proof object initial formulas used : 4
% 0.23/1.42 # Proof object generating inferences : 14
% 0.23/1.42 # Proof object simplifying inferences : 24
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 46
% 0.23/1.42 # Removed by relevancy pruning/SinE : 11
% 0.23/1.42 # Initial clauses : 171
% 0.23/1.42 # Removed in clause preprocessing : 4
% 0.23/1.42 # Initial clauses in saturation : 167
% 0.23/1.42 # Processed clauses : 1014
% 0.23/1.42 # ...of these trivial : 40
% 0.23/1.42 # ...subsumed : 419
% 0.23/1.42 # ...remaining for further processing : 555
% 0.23/1.42 # Other redundant clauses eliminated : 120
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 6
% 0.23/1.42 # Backward-rewritten : 8
% 0.23/1.42 # Generated clauses : 6005
% 0.23/1.42 # ...of the previous two non-trivial : 5333
% 0.23/1.42 # Contextual simplify-reflections : 641
% 0.23/1.42 # Paramodulations : 5806
% 0.23/1.42 # Factorizations : 15
% 0.23/1.42 # Equation resolutions : 184
% 0.23/1.42 # Current number of processed clauses : 541
% 0.23/1.42 # Positive orientable unit clauses : 49
% 0.23/1.42 # Positive unorientable unit clauses: 0
% 0.23/1.42 # Negative unit clauses : 4
% 0.23/1.42 # Non-unit-clauses : 488
% 0.23/1.42 # Current number of unprocessed clauses: 4161
% 0.23/1.42 # ...number of literals in the above : 21082
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 14
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 35560
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 10409
% 0.23/1.42 # Non-unit clause-clause subsumptions : 1048
% 0.23/1.42 # Unit Clause-clause subsumption calls : 657
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 4
% 0.23/1.42 # BW rewrite match successes : 4
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 69748
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.264 s
% 0.23/1.42 # System time : 0.005 s
% 0.23/1.42 # Total time : 0.269 s
% 0.23/1.42 # Maximum resident set size: 7540 pages
%------------------------------------------------------------------------------