%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : RNG111+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:37:45 PM UTC 2026
% Result : Theorem 120.57s 16.30s
% Output : Proof 120.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 1
% Syntax : Number of formulae : 75 ( 5 unt; 0 def)
% Number of atoms : 405 ( 243 equ)
% Maximal formula atoms : 33 ( 5 avg)
% Number of connectives : 453 ( 123 ~; 234 |; 84 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 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 : 86 ( 0 sgn 22 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,conjecture,
! [W0] :
( ( W0 != sz00
& aElementOf0(W0,xI)
& ? [W1,W2] :
( sdtpldt0(W1,W2) = W0
& aElementOf0(W2,slsdtgt0(xb))
& aElementOf0(W1,slsdtgt0(xa)) ) )
=> ( ! [W1] :
( ( W1 != sz00
& ( aElementOf0(W1,xI)
| ? [W2,W3] :
( sdtpldt0(W2,W3) = W1
& aElementOf0(W3,slsdtgt0(xb))
& aElementOf0(W2,slsdtgt0(xa)) ) ) )
=> ( iLess0(sbrdtbr0(W1),sbrdtbr0(W0))
=> ? [W2] :
( ! [W3] :
( ( W3 != sz00
& ( aElementOf0(W3,xI)
| ? [W4,W5] :
( sdtpldt0(W4,W5) = W3
& aElementOf0(W5,slsdtgt0(xb))
& aElementOf0(W4,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(W3),sbrdtbr0(W2)) )
& W2 != sz00
& aElementOf0(W2,xI)
& ? [W3,W4] :
( sdtpldt0(W3,W4) = W2
& aElementOf0(W4,slsdtgt0(xb))
& aElementOf0(W3,slsdtgt0(xa)) ) ) ) )
=> ? [W1] :
( ! [W2] :
( ( W2 != sz00
& aElementOf0(W2,xI)
& ? [W3,W4] :
( sdtpldt0(W3,W4) = W2
& aElementOf0(W4,slsdtgt0(xb))
& aElementOf0(W3,slsdtgt0(xa)) ) )
=> ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) )
& W1 != sz00
& ( aElementOf0(W1,xI)
| ? [W2,W3] :
( sdtpldt0(W2,W3) = W1
& aElementOf0(W3,slsdtgt0(xb))
& aElementOf0(W2,slsdtgt0(xa)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f44_neg,negated_conjecture,
~ ! [W0] :
( ( W0 != sz00
& aElementOf0(W0,xI)
& ? [W1,W2] :
( sdtpldt0(W1,W2) = W0
& aElementOf0(W2,slsdtgt0(xb))
& aElementOf0(W1,slsdtgt0(xa)) ) )
=> ( ! [W1] :
( ( W1 != sz00
& ( aElementOf0(W1,xI)
| ? [W2,W3] :
( sdtpldt0(W2,W3) = W1
& aElementOf0(W3,slsdtgt0(xb))
& aElementOf0(W2,slsdtgt0(xa)) ) ) )
=> ( iLess0(sbrdtbr0(W1),sbrdtbr0(W0))
=> ? [W2] :
( ! [W3] :
( ( W3 != sz00
& ( aElementOf0(W3,xI)
| ? [W4,W5] :
( sdtpldt0(W4,W5) = W3
& aElementOf0(W5,slsdtgt0(xb))
& aElementOf0(W4,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(W3),sbrdtbr0(W2)) )
& W2 != sz00
& aElementOf0(W2,xI)
& ? [W3,W4] :
( sdtpldt0(W3,W4) = W2
& aElementOf0(W4,slsdtgt0(xb))
& aElementOf0(W3,slsdtgt0(xa)) ) ) ) )
=> ? [W1] :
( ! [W2] :
( ( W2 != sz00
& aElementOf0(W2,xI)
& ? [W3,W4] :
( sdtpldt0(W3,W4) = W2
& aElementOf0(W4,slsdtgt0(xb))
& aElementOf0(W3,slsdtgt0(xa)) ) )
=> ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) )
& W1 != sz00
& ( aElementOf0(W1,xI)
| ? [W2,W3] :
( sdtpldt0(W2,W3) = W1
& aElementOf0(W3,slsdtgt0(xb))
& aElementOf0(W2,slsdtgt0(xa)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f44_nnf,plain,
? [W0] :
( ! [W1] :
( ? [W2] :
( iLess0(sbrdtbr0(W2),sbrdtbr0(W1))
& W2 != sz00
& aElementOf0(W2,xI)
& ? [W3,W4] :
( sdtpldt0(W3,W4) = W2
& aElementOf0(W4,slsdtgt0(xb))
& aElementOf0(W3,slsdtgt0(xa)) ) )
| W1 = sz00
| ( ~ aElementOf0(W1,xI)
& ! [W2,W3] :
( sdtpldt0(W2,W3) != W1
| ~ aElementOf0(W3,slsdtgt0(xb))
| ~ aElementOf0(W2,slsdtgt0(xa)) ) ) )
& ! [W1] :
( ? [W2] :
( ! [W3] :
( ~ iLess0(sbrdtbr0(W3),sbrdtbr0(W2))
| W3 = sz00
| ( ~ aElementOf0(W3,xI)
& ! [W4,W5] :
( sdtpldt0(W4,W5) != W3
| ~ aElementOf0(W5,slsdtgt0(xb))
| ~ aElementOf0(W4,slsdtgt0(xa)) ) ) )
& W2 != sz00
& aElementOf0(W2,xI)
& ? [W3,W4] :
( sdtpldt0(W3,W4) = W2
& aElementOf0(W4,slsdtgt0(xb))
& aElementOf0(W3,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0))
| W1 = sz00
| ( ~ aElementOf0(W1,xI)
& ! [W2,W3] :
( sdtpldt0(W2,W3) != W1
| ~ aElementOf0(W3,slsdtgt0(xb))
| ~ aElementOf0(W2,slsdtgt0(xa)) ) ) )
& W0 != sz00
& aElementOf0(W0,xI)
& ? [W1,W2] :
( sdtpldt0(W1,W2) = W0
& aElementOf0(W2,slsdtgt0(xb))
& aElementOf0(W1,slsdtgt0(xa)) ) ),
inference(nnf_transformation,[status(thm)],[f44_neg]) ).
fof(f44_sk,plain,
! [W2,W3,W1,W4,W5] :
( ( ( iLess0(sbrdtbr0(sk42(W1)),sbrdtbr0(W1))
& sk42(W1) != sz00
& aElementOf0(sk42(W1),xI)
& sdtpldt0(sk43(W1),sk44(W1)) = sk42(W1)
& aElementOf0(sk44(W1),slsdtgt0(xb))
& aElementOf0(sk43(W1),slsdtgt0(xa)) )
| W1 = sz00
| ( ~ aElementOf0(W1,xI)
& ( sdtpldt0(W2,W3) != W1
| ~ aElementOf0(W3,slsdtgt0(xb))
| ~ aElementOf0(W2,slsdtgt0(xa)) ) ) )
& ( ( ( ~ iLess0(sbrdtbr0(W3),sbrdtbr0(sk39(W1)))
| W3 = sz00
| ( ~ aElementOf0(W3,xI)
& ( sdtpldt0(W4,W5) != W3
| ~ aElementOf0(W5,slsdtgt0(xb))
| ~ aElementOf0(W4,slsdtgt0(xa)) ) ) )
& sk39(W1) != sz00
& aElementOf0(sk39(W1),xI)
& sdtpldt0(sk40(W1),sk41(W1)) = sk39(W1)
& aElementOf0(sk41(W1),slsdtgt0(xb))
& aElementOf0(sk40(W1),slsdtgt0(xa)) )
| ~ iLess0(sbrdtbr0(W1),sbrdtbr0(sk36))
| W1 = sz00
| ( ~ aElementOf0(W1,xI)
& ( sdtpldt0(W2,W3) != W1
| ~ aElementOf0(W3,slsdtgt0(xb))
| ~ aElementOf0(W2,slsdtgt0(xa)) ) ) )
& sk36 != sz00
& aElementOf0(sk36,xI)
& sdtpldt0(sk37,sk38) = sk36
& aElementOf0(sk38,slsdtgt0(xb))
& aElementOf0(sk37,slsdtgt0(xa)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk36,sk37,sk38,sk39,sk40,sk41,sk42,sk43,sk44])],[f44_nnf]) ).
cnf(c209,plain,
( sdtpldt0(sk43(X1),sk44(X1)) = sk42(X1)
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(c185,plain,
aElementOf0(sk36,xI),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p228,plain,
( sdtpldt0(sk43(sk36),sk44(sk36)) = sk42(sk36)
| sk36 = sz00 ),
inference(resolution,[status(thm)],[c209,c185]) ).
cnf(c190,plain,
( aElementOf0(sk39(X1),xI)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sk36))
| X1 = sz00
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(c207,plain,
( aElementOf0(sk43(X1),slsdtgt0(xa))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p215,plain,
( aElementOf0(sk43(sk36),slsdtgt0(xa))
| sk36 = sz00 ),
inference(resolution,[status(thm)],[c207,c185]) ).
cnf(p1100,plain,
( sk36 = sz00
| aElementOf0(sk39(X1),xI)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sk36))
| X1 = sz00
| sdtpldt0(sk43(sk36),X0) != X1
| ~ aElementOf0(X0,slsdtgt0(xb)) ),
inference(resolution,[status(thm)],[c190,p215]) ).
cnf(c208,plain,
( aElementOf0(sk44(X1),slsdtgt0(xb))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p217,plain,
( aElementOf0(sk44(sk36),slsdtgt0(xb))
| sk36 = sz00 ),
inference(resolution,[status(thm)],[c208,c185]) ).
cnf(p11565,plain,
( sk36 = sz00
| sk36 = sz00
| aElementOf0(sk39(X0),xI)
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sk36))
| X0 = sz00
| sdtpldt0(sk43(sk36),sk44(sk36)) != X0 ),
inference(resolution,[status(thm)],[p1100,p217]) ).
cnf(p11631,plain,
( sk36 = sz00
| aElementOf0(sk39(X0),xI)
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sk36))
| X0 = sz00
| sdtpldt0(sk43(sk36),sk44(sk36)) != X0 ),
inference(factoring,[status(thm)],[p11565]) ).
cnf(p11632,plain,
( sk36 = sz00
| aElementOf0(sk39(sdtpldt0(sk43(sk36),sk44(sk36))),xI)
| ~ iLess0(sbrdtbr0(sdtpldt0(sk43(sk36),sk44(sk36))),sbrdtbr0(sk36))
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00 ),
inference(equality_resolution,[status(thm)],[p11631]) ).
cnf(p11641,plain,
( sk36 = sz00
| aElementOf0(sk39(sdtpldt0(sk43(sk36),sk44(sk36))),xI)
| ~ iLess0(sbrdtbr0(sk42(sk36)),sbrdtbr0(sk36))
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(superposition,[status(thm)],[p228,p11632]) ).
cnf(p11644,plain,
( aElementOf0(sk39(sdtpldt0(sk43(sk36),sk44(sk36))),xI)
| ~ iLess0(sbrdtbr0(sk42(sk36)),sbrdtbr0(sk36))
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p11641]) ).
cnf(c212,plain,
( iLess0(sbrdtbr0(sk42(X1)),sbrdtbr0(X1))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p219,plain,
( iLess0(sbrdtbr0(sk42(sk36)),sbrdtbr0(sk36))
| sk36 = sz00 ),
inference(resolution,[status(thm)],[c212,c185]) ).
cnf(p11645,plain,
( sk36 = sz00
| aElementOf0(sk39(sdtpldt0(sk43(sk36),sk44(sk36))),xI)
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(resolution,[status(thm)],[p11644,p219]) ).
cnf(p11646,plain,
( aElementOf0(sk39(sdtpldt0(sk43(sk36),sk44(sk36))),xI)
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p11645]) ).
cnf(c210,plain,
( aElementOf0(sk42(X1),xI)
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p11647,plain,
( aElementOf0(sk42(sk39(sdtpldt0(sk43(sk36),sk44(sk36)))),xI)
| sk39(sdtpldt0(sk43(sk36),sk44(sk36))) = sz00
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(resolution,[status(thm)],[p11646,c210]) ).
cnf(p11848,plain,
( aElementOf0(sk42(sk39(sk42(sk36))),xI)
| sk39(sdtpldt0(sk43(sk36),sk44(sk36))) = sz00
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00
| sk36 = sz00 ),
inference(superposition,[status(thm)],[p228,p11647]) ).
cnf(p12128,plain,
( aElementOf0(sk42(sk39(sk42(sk36))),xI)
| sk39(sdtpldt0(sk43(sk36),sk44(sk36))) = sz00
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p11848]) ).
cnf(c191,plain,
( sk39(X1) != sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sk36))
| X1 = sz00
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p1117,plain,
( sk36 = sz00
| sk39(X1) != sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sk36))
| X1 = sz00
| sdtpldt0(sk43(sk36),X0) != X1
| ~ aElementOf0(X0,slsdtgt0(xb)) ),
inference(resolution,[status(thm)],[c191,p215]) ).
cnf(p1631,plain,
( sk36 = sz00
| sk36 = sz00
| sk39(X0) != sz00
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sk36))
| X0 = sz00
| sdtpldt0(sk43(sk36),sk44(sk36)) != X0 ),
inference(resolution,[status(thm)],[p1117,p217]) ).
cnf(p1687,plain,
( sk36 = sz00
| sk39(X0) != sz00
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sk36))
| X0 = sz00
| sdtpldt0(sk43(sk36),sk44(sk36)) != X0 ),
inference(factoring,[status(thm)],[p1631]) ).
cnf(p1688,plain,
( sk36 = sz00
| sk39(sdtpldt0(sk43(sk36),sk44(sk36))) != sz00
| ~ iLess0(sbrdtbr0(sdtpldt0(sk43(sk36),sk44(sk36))),sbrdtbr0(sk36))
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00 ),
inference(equality_resolution,[status(thm)],[p1687]) ).
cnf(p1694,plain,
( sk36 = sz00
| sk39(sdtpldt0(sk43(sk36),sk44(sk36))) != sz00
| ~ iLess0(sbrdtbr0(sk42(sk36)),sbrdtbr0(sk36))
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(superposition,[status(thm)],[p228,p1688]) ).
cnf(p2823,plain,
( sk39(sdtpldt0(sk43(sk36),sk44(sk36))) != sz00
| ~ iLess0(sbrdtbr0(sk42(sk36)),sbrdtbr0(sk36))
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p1694]) ).
cnf(p2824,plain,
( sk36 = sz00
| sk39(sdtpldt0(sk43(sk36),sk44(sk36))) != sz00
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(resolution,[status(thm)],[p2823,p219]) ).
cnf(p2825,plain,
( sk39(sdtpldt0(sk43(sk36),sk44(sk36))) != sz00
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p2824]) ).
cnf(p12130,plain,
( sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00
| aElementOf0(sk42(sk39(sk42(sk36))),xI)
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(resolution,[status(thm)],[p12128,p2825]) ).
cnf(p12144,plain,
( sk36 = sz00
| aElementOf0(sk42(sk39(sk42(sk36))),xI)
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p12130]) ).
cnf(p12145,plain,
( aElementOf0(sk42(sk39(sk42(sk36))),xI)
| sdtpldt0(sk43(sk36),sk44(sk36)) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p12144]) ).
cnf(p12147,plain,
( aElementOf0(sk42(sk39(sk42(sk36))),xI)
| sk42(sk36) = sz00
| sk36 = sz00
| sk36 = sz00 ),
inference(superposition,[status(thm)],[p228,p12145]) ).
cnf(p12174,plain,
( aElementOf0(sk42(sk39(sk42(sk36))),xI)
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p12147]) ).
cnf(c200,plain,
( ~ iLess0(sbrdtbr0(X3),sbrdtbr0(sk39(X1)))
| X3 = sz00
| ~ aElementOf0(X3,xI)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sk36))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p213,plain,
( aElementOf0(sk42(sk36),xI)
| sk36 = sz00 ),
inference(resolution,[status(thm)],[c210,c185]) ).
cnf(p533,plain,
( sk36 = sz00
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sk39(sk42(sk36))))
| X0 = sz00
| ~ aElementOf0(X0,xI)
| ~ iLess0(sbrdtbr0(sk42(sk36)),sbrdtbr0(sk36))
| sk42(sk36) = sz00 ),
inference(resolution,[status(thm)],[c200,p213]) ).
cnf(p2083,plain,
( sk36 = sz00
| sk36 = sz00
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sk39(sk42(sk36))))
| X0 = sz00
| ~ aElementOf0(X0,xI)
| sk42(sk36) = sz00 ),
inference(resolution,[status(thm)],[p533,p219]) ).
cnf(p2085,plain,
( sk36 = sz00
| ~ iLess0(sbrdtbr0(X0),sbrdtbr0(sk39(sk42(sk36))))
| X0 = sz00
| ~ aElementOf0(X0,xI)
| sk42(sk36) = sz00 ),
inference(factoring,[status(thm)],[p2083]) ).
cnf(p12188,plain,
( sk36 = sz00
| ~ iLess0(sbrdtbr0(sk42(sk39(sk42(sk36)))),sbrdtbr0(sk39(sk42(sk36))))
| sk42(sk39(sk42(sk36))) = sz00
| sk42(sk36) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(resolution,[status(thm)],[p12174,p2085]) ).
cnf(p13820,plain,
( sk36 = sz00
| ~ iLess0(sbrdtbr0(sk42(sk39(sk42(sk36)))),sbrdtbr0(sk39(sk42(sk36))))
| sk42(sk39(sk42(sk36))) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p12188]) ).
cnf(p13821,plain,
( ~ iLess0(sbrdtbr0(sk42(sk39(sk42(sk36)))),sbrdtbr0(sk39(sk42(sk36))))
| sk42(sk39(sk42(sk36))) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p13820]) ).
cnf(c197,plain,
( aElementOf0(sk39(X1),xI)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sk36))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p232,plain,
( sk36 = sz00
| aElementOf0(sk39(sk42(sk36)),xI)
| ~ iLess0(sbrdtbr0(sk42(sk36)),sbrdtbr0(sk36))
| sk42(sk36) = sz00 ),
inference(resolution,[status(thm)],[c197,p213]) ).
cnf(p243,plain,
( sk36 = sz00
| sk36 = sz00
| aElementOf0(sk39(sk42(sk36)),xI)
| sk42(sk36) = sz00 ),
inference(resolution,[status(thm)],[p232,p219]) ).
cnf(p244,plain,
( sk36 = sz00
| aElementOf0(sk39(sk42(sk36)),xI)
| sk42(sk36) = sz00 ),
inference(factoring,[status(thm)],[p243]) ).
cnf(p248,plain,
( iLess0(sbrdtbr0(sk42(sk39(sk42(sk36)))),sbrdtbr0(sk39(sk42(sk36))))
| sk39(sk42(sk36)) = sz00
| sk36 = sz00
| sk42(sk36) = sz00 ),
inference(resolution,[status(thm)],[p244,c212]) ).
cnf(p13822,plain,
( sk39(sk42(sk36)) = sz00
| sk36 = sz00
| sk42(sk36) = sz00
| sk42(sk39(sk42(sk36))) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(resolution,[status(thm)],[p13821,p248]) ).
cnf(p13825,plain,
( sk39(sk42(sk36)) = sz00
| sk36 = sz00
| sk42(sk39(sk42(sk36))) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p13822]) ).
cnf(p13826,plain,
( sk39(sk42(sk36)) = sz00
| sk42(sk39(sk42(sk36))) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p13825]) ).
cnf(c211,plain,
( sk42(X1) != sz00
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p249,plain,
( sk42(sk39(sk42(sk36))) != sz00
| sk39(sk42(sk36)) = sz00
| sk36 = sz00
| sk42(sk36) = sz00 ),
inference(resolution,[status(thm)],[p244,c211]) ).
cnf(p13827,plain,
( sk39(sk42(sk36)) = sz00
| sk36 = sz00
| sk42(sk36) = sz00
| sk39(sk42(sk36)) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(resolution,[status(thm)],[p13826,p249]) ).
cnf(p14211,plain,
( sk36 = sz00
| sk42(sk36) = sz00
| sk39(sk42(sk36)) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p13827]) ).
cnf(p14213,plain,
( sk36 = sz00
| sk39(sk42(sk36)) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p14211]) ).
cnf(p14214,plain,
( sk39(sk42(sk36)) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p14213]) ).
cnf(c198,plain,
( sk39(X1) != sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sk36))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p235,plain,
( sk36 = sz00
| sk39(sk42(sk36)) != sz00
| ~ iLess0(sbrdtbr0(sk42(sk36)),sbrdtbr0(sk36))
| sk42(sk36) = sz00 ),
inference(resolution,[status(thm)],[c198,p213]) ).
cnf(p255,plain,
( sk36 = sz00
| sk36 = sz00
| sk39(sk42(sk36)) != sz00
| sk42(sk36) = sz00 ),
inference(resolution,[status(thm)],[p235,p219]) ).
cnf(p256,plain,
( sk36 = sz00
| sk39(sk42(sk36)) != sz00
| sk42(sk36) = sz00 ),
inference(factoring,[status(thm)],[p255]) ).
cnf(p14215,plain,
( sk36 = sz00
| sk42(sk36) = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(resolution,[status(thm)],[p14214,p256]) ).
cnf(p14238,plain,
( sk36 = sz00
| sk42(sk36) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p14215]) ).
cnf(p14239,plain,
( sk42(sk36) = sz00
| sk36 = sz00 ),
inference(factoring,[status(thm)],[p14238]) ).
cnf(p221,plain,
( sk42(sk36) != sz00
| sk36 = sz00 ),
inference(resolution,[status(thm)],[c211,c185]) ).
cnf(p14241,plain,
( sk36 = sz00
| sk36 = sz00 ),
inference(resolution,[status(thm)],[p14239,p221]) ).
cnf(p14242,plain,
sk36 = sz00,
inference(factoring,[status(thm)],[p14241]) ).
cnf(c186,plain,
sk36 != sz00,
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(p14245,plain,
sz00 != sz00,
inference(demodulation,[status(thm)],[p14242,c186]) ).
cnf(p14287,plain,
$false,
inference(equality_resolution,[status(thm)],[p14245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG111+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 08:16:51 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 120.57/16.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 120.57/16.30 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------