%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG111+4 : 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 : n023.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 05:05:23 PM UTC 2026
% Result : Theorem 1.42s 1.76s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 38 ( 16 unt; 0 def)
% Number of atoms : 282 ( 107 equ)
% Maximal formula atoms : 135 ( 7 avg)
% Number of connectives : 385 ( 141 ~; 156 |; 76 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 17 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
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))
=> ? [X3] :
( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
& aElementOf0(X3,xI)
& X3 != sz00
& ! [X4] :
( ( ( ? [X5,X6] :
( aElementOf0(X5,slsdtgt0(xa))
& aElementOf0(X6,slsdtgt0(xb))
& sdtpldt0(X5,X6) = X4 )
| aElementOf0(X4,xI) )
& X4 != sz00 )
=> ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3)) ) ) ) )
=> ? [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/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_1,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))
=> ? [X3] :
( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
& aElementOf0(X3,xI)
& X3 != sz00
& ! [X4] :
( ( ( ? [X5,X6] :
( aElementOf0(X5,slsdtgt0(xa))
& aElementOf0(X6,slsdtgt0(xb))
& sdtpldt0(X5,X6) = X4 )
| aElementOf0(X4,xI) )
& X4 != sz00 )
=> ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3)) ) ) ) )
=> ? [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)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_2,negated_conjecture,
! [X279,X280,X281,X285,X286,X287,X288,X289,X290] :
( aElementOf0(esk38_0,slsdtgt0(xa))
& aElementOf0(esk39_0,slsdtgt0(xb))
& sdtpldt0(esk38_0,esk39_0) = esk37_0
& aElementOf0(esk37_0,xI)
& esk37_0 != sz00
& ( aElementOf0(esk41_1(X279),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X280,slsdtgt0(xa))
| ~ aElementOf0(X281,slsdtgt0(xb))
| sdtpldt0(X280,X281) != X279
| X279 = sz00 )
& ( aElementOf0(esk42_1(X279),slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X280,slsdtgt0(xa))
| ~ aElementOf0(X281,slsdtgt0(xb))
| sdtpldt0(X280,X281) != X279
| X279 = sz00 )
& ( sdtpldt0(esk41_1(X279),esk42_1(X279)) = esk40_1(X279)
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X280,slsdtgt0(xa))
| ~ aElementOf0(X281,slsdtgt0(xb))
| sdtpldt0(X280,X281) != X279
| X279 = sz00 )
& ( aElementOf0(esk40_1(X279),xI)
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X280,slsdtgt0(xa))
| ~ aElementOf0(X281,slsdtgt0(xb))
| sdtpldt0(X280,X281) != X279
| X279 = sz00 )
& ( esk40_1(X279) != sz00
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X280,slsdtgt0(xa))
| ~ aElementOf0(X281,slsdtgt0(xb))
| sdtpldt0(X280,X281) != X279
| X279 = sz00 )
& ( ~ aElementOf0(X286,slsdtgt0(xa))
| ~ aElementOf0(X287,slsdtgt0(xb))
| sdtpldt0(X286,X287) != X285
| X285 = sz00
| ~ iLess0(sbrdtbr0(X285),sbrdtbr0(esk40_1(X279)))
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X280,slsdtgt0(xa))
| ~ aElementOf0(X281,slsdtgt0(xb))
| sdtpldt0(X280,X281) != X279
| X279 = sz00 )
& ( ~ aElementOf0(X285,xI)
| X285 = sz00
| ~ iLess0(sbrdtbr0(X285),sbrdtbr0(esk40_1(X279)))
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X280,slsdtgt0(xa))
| ~ aElementOf0(X281,slsdtgt0(xb))
| sdtpldt0(X280,X281) != X279
| X279 = sz00 )
& ( aElementOf0(esk41_1(X279),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X279,xI)
| X279 = sz00 )
& ( aElementOf0(esk42_1(X279),slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X279,xI)
| X279 = sz00 )
& ( sdtpldt0(esk41_1(X279),esk42_1(X279)) = esk40_1(X279)
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X279,xI)
| X279 = sz00 )
& ( aElementOf0(esk40_1(X279),xI)
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X279,xI)
| X279 = sz00 )
& ( esk40_1(X279) != sz00
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X279,xI)
| X279 = sz00 )
& ( ~ aElementOf0(X286,slsdtgt0(xa))
| ~ aElementOf0(X287,slsdtgt0(xb))
| sdtpldt0(X286,X287) != X285
| X285 = sz00
| ~ iLess0(sbrdtbr0(X285),sbrdtbr0(esk40_1(X279)))
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X279,xI)
| X279 = sz00 )
& ( ~ aElementOf0(X285,xI)
| X285 = sz00
| ~ iLess0(sbrdtbr0(X285),sbrdtbr0(esk40_1(X279)))
| ~ iLess0(sbrdtbr0(X279),sbrdtbr0(esk37_0))
| ~ aElementOf0(X279,xI)
| X279 = sz00 )
& ( aElementOf0(esk44_1(X288),slsdtgt0(xa))
| ~ aElementOf0(X289,slsdtgt0(xa))
| ~ aElementOf0(X290,slsdtgt0(xb))
| sdtpldt0(X289,X290) != X288
| X288 = sz00 )
& ( aElementOf0(esk45_1(X288),slsdtgt0(xb))
| ~ aElementOf0(X289,slsdtgt0(xa))
| ~ aElementOf0(X290,slsdtgt0(xb))
| sdtpldt0(X289,X290) != X288
| X288 = sz00 )
& ( sdtpldt0(esk44_1(X288),esk45_1(X288)) = esk43_1(X288)
| ~ aElementOf0(X289,slsdtgt0(xa))
| ~ aElementOf0(X290,slsdtgt0(xb))
| sdtpldt0(X289,X290) != X288
| X288 = sz00 )
& ( aElementOf0(esk43_1(X288),xI)
| ~ aElementOf0(X289,slsdtgt0(xa))
| ~ aElementOf0(X290,slsdtgt0(xb))
| sdtpldt0(X289,X290) != X288
| X288 = sz00 )
& ( esk43_1(X288) != sz00
| ~ aElementOf0(X289,slsdtgt0(xa))
| ~ aElementOf0(X290,slsdtgt0(xb))
| sdtpldt0(X289,X290) != X288
| X288 = sz00 )
& ( iLess0(sbrdtbr0(esk43_1(X288)),sbrdtbr0(X288))
| ~ aElementOf0(X289,slsdtgt0(xa))
| ~ aElementOf0(X290,slsdtgt0(xb))
| sdtpldt0(X289,X290) != X288
| X288 = sz00 )
& ( aElementOf0(esk44_1(X288),slsdtgt0(xa))
| ~ aElementOf0(X288,xI)
| X288 = sz00 )
& ( aElementOf0(esk45_1(X288),slsdtgt0(xb))
| ~ aElementOf0(X288,xI)
| X288 = sz00 )
& ( sdtpldt0(esk44_1(X288),esk45_1(X288)) = esk43_1(X288)
| ~ aElementOf0(X288,xI)
| X288 = sz00 )
& ( aElementOf0(esk43_1(X288),xI)
| ~ aElementOf0(X288,xI)
| X288 = sz00 )
& ( esk43_1(X288) != sz00
| ~ aElementOf0(X288,xI)
| X288 = sz00 )
& ( iLess0(sbrdtbr0(esk43_1(X288)),sbrdtbr0(X288))
| ~ aElementOf0(X288,xI)
| X288 = sz00 ) ),
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_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( X1 = sz00
| esk43_1(X1) != sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
aElementOf0(esk37_0,xI),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
esk37_0 != sz00,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( aElementOf0(esk43_1(X1),xI)
| X1 = sz00
| ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( X1 = sz00
| esk40_1(X1) != sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( iLess0(sbrdtbr0(esk43_1(X1)),sbrdtbr0(X1))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
esk43_1(esk37_0) != sz00,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( sdtpldt0(esk41_1(X1),esk42_1(X1)) = esk40_1(X1)
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
( sdtpldt0(X1,X2) = sz00
| aElementOf0(esk43_1(sdtpldt0(X1,X2)),xI)
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
sdtpldt0(esk38_0,esk39_0) = esk37_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
aElementOf0(esk39_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
aElementOf0(esk38_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(esk42_1(X1),slsdtgt0(xb))
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( aElementOf0(esk41_1(X1),slsdtgt0(xa))
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(esk40_1(X1),xI)
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( esk40_1(esk43_1(esk37_0)) != sz00
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_4])]),c_0_5]),c_0_9]) ).
cnf(c_0_19,negated_conjecture,
( aElementOf0(esk43_1(X1),xI)
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( iLess0(sbrdtbr0(esk43_1(X1)),sbrdtbr0(X1))
| X1 = sz00
| ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,negated_conjecture,
( sdtpldt0(esk41_1(esk43_1(esk37_0)),esk42_1(esk43_1(esk37_0))) = esk40_1(esk43_1(esk37_0))
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_8]),c_0_4])]),c_0_5]),c_0_9]) ).
cnf(c_0_22,negated_conjecture,
aElementOf0(esk43_1(esk37_0),xI),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]),c_0_5]) ).
cnf(c_0_23,negated_conjecture,
( aElementOf0(esk42_1(esk43_1(esk37_0)),slsdtgt0(xb))
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_8]),c_0_4])]),c_0_5]),c_0_9]) ).
cnf(c_0_24,negated_conjecture,
( aElementOf0(esk41_1(esk43_1(esk37_0)),slsdtgt0(xa))
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_8]),c_0_4])]),c_0_5]),c_0_9]) ).
cnf(c_0_25,negated_conjecture,
( aElementOf0(esk40_1(esk43_1(esk37_0)),xI)
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_8]),c_0_4])]),c_0_5]),c_0_9]) ).
cnf(c_0_26,negated_conjecture,
esk40_1(esk43_1(esk37_0)) != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_4])]),c_0_5]) ).
cnf(c_0_27,negated_conjecture,
( sdtpldt0(X1,X2) = sz00
| iLess0(sbrdtbr0(esk43_1(sdtpldt0(X1,X2))),sbrdtbr0(sdtpldt0(X1,X2)))
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
sdtpldt0(esk41_1(esk43_1(esk37_0)),esk42_1(esk43_1(esk37_0))) = esk40_1(esk43_1(esk37_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_29,negated_conjecture,
aElementOf0(esk42_1(esk43_1(esk37_0)),slsdtgt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_22])]) ).
cnf(c_0_30,negated_conjecture,
aElementOf0(esk41_1(esk43_1(esk37_0)),slsdtgt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_22])]) ).
cnf(c_0_31,negated_conjecture,
( esk43_1(esk40_1(esk43_1(esk37_0))) != sz00
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_25]),c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( X1 = sz00
| X2 = sz00
| ~ aElementOf0(X1,xI)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk40_1(X2)))
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk37_0))
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_33,negated_conjecture,
iLess0(sbrdtbr0(esk43_1(esk40_1(esk43_1(esk37_0)))),sbrdtbr0(esk40_1(esk43_1(esk37_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]),c_0_26]) ).
cnf(c_0_34,negated_conjecture,
iLess0(sbrdtbr0(esk43_1(esk37_0)),sbrdtbr0(esk37_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_12]),c_0_13]),c_0_14])]),c_0_5]) ).
cnf(c_0_35,negated_conjecture,
aElementOf0(esk43_1(esk40_1(esk43_1(esk37_0))),xI),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_28]),c_0_29]),c_0_30])]),c_0_26]) ).
cnf(c_0_36,negated_conjecture,
esk43_1(esk40_1(esk43_1(esk37_0))) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_22])]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_22]),c_0_35])]),c_0_36]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG111+4 : 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
% 0.14/0.32 % Computer : n023.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 01:51:24 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.42/1.76 % Version : CSE_E---1.7
% 1.42/1.76 % Problem : theBenchmark.p
% 1.42/1.76 % SZS status Theorem for theBenchmark.p
% 1.42/1.76 % SZS output start CNFRefutation
% See solution above
% 1.42/1.76 % Total time : 1.371s
%------------------------------------------------------------------------------