%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG112+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 : Thu Sep 24 02:05:23 PM UTC 2026
% Result : Theorem 0.21s 15.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG112+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/15.44 % Computer : n026.cluster.edu
% 0.15/15.44 % Model : x86_64 x86_64
% 0.15/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/15.44 % Memory : 8046.5625MB
% 0.15/15.44 % OS : Linux 6.8.0-71-generic
% 0.15/15.44 % CPULimit : 300
% 0.15/15.44 % WCLimit : 300
% 0.15/15.44 % DateTime : Mon Sep 21 04:23:37 UTC 2026
% 0.15/15.44 % CPUTime :
% 0.15/15.46 % Drodi V4.1.1
% 0.21/15.52 % Refutation found
% 0.21/15.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/15.52 % SZS output start CNFRefutation for theBenchmark
% 0.21/15.52 fof(f42,hypothesis,(
% 0.21/15.52 ( aIdeal0(xI)& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ) ),
% 0.21/15.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/15.52 fof(f44,hypothesis,(
% 0.21/15.52 (? [W0] :( aElementOf0(W0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))& W0 != sz00 ) )),
% 0.21/15.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/15.52 fof(f45,hypothesis,(
% 0.21/15.52 (! [W0] :( ( aElementOf0(W0,xI)& W0 != sz00 )=> (? [W1] :( aElementOf0(W1,xI)& W1 != sz00& (! [W2] :( ( aElementOf0(W2,xI)& W2 != sz00 )=> ~ iLess0(sbrdtbr0(W2),sbrdtbr0(W1)) ) )) )) )),
% 0.21/15.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/15.52 fof(f46,conjecture,(
% 0.21/15.52 (? [W0] :( aElementOf0(W0,xI)& W0 != sz00& (! [W1] :( ( aElementOf0(W1,xI)& W1 != sz00 )=> ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) )) )),
% 0.21/15.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/15.52 fof(f47,negated_conjecture,(
% 0.21/15.52 ~((? [W0] :( aElementOf0(W0,xI)& W0 != sz00& (! [W1] :( ( aElementOf0(W1,xI)& W1 != sz00 )=> ~ iLess0(sbrdtbr0(W1),sbrdtbr0(W0)) ) )) ))),
% 0.21/15.52 inference(negated_conjecture,[status(cth)],[f46])).
% 0.21/15.52 fof(f205,plain,(
% 0.21/15.52 xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
% 0.21/15.52 inference(cnf_transformation,[status(thm)],[f42])).
% 0.21/15.52 fof(f210,plain,(
% 0.21/15.52 (aElementOf0(sK20_skl,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))&~sK20_skl=sz00)),
% 0.21/15.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl]),skolemize(W0,sK20_skl)],[f44])).
% 0.21/15.52 fof(f211,plain,(
% 0.21/15.52 aElementOf0(sK20_skl,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))),
% 0.21/15.52 inference(cnf_transformation,[status(thm)],[f210])).
% 0.21/15.52 fof(f212,plain,(
% 0.21/15.52 ~sK20_skl=sz00),
% 0.21/15.52 inference(cnf_transformation,[status(thm)],[f210])).
% 0.21/15.52 fof(f213,plain,(
% 0.21/15.52 ![W0]: ((~aElementOf0(W0,xI)|W0=sz00)|(?[W1]: ((aElementOf0(W1,xI)&~W1=sz00)&(![W2]: ((~aElementOf0(W2,xI)|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(W1)))))))),
% 0.21/15.52 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.21/15.52 fof(f214,plain,(
% 0.21/15.52 (![W0]: (~aElementOf0(W0,xI)|W0=sz00))|(?[W1]: ((aElementOf0(W1,xI)&~W1=sz00)&(![W2]: ((~aElementOf0(W2,xI)|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(W1))))))),
% 0.21/15.52 inference(miniscoping,[status(thm)],[f213])).
% 0.21/15.52 fof(f215,plain,(
% 0.21/15.52 (![W0]: (~aElementOf0(W0,xI)|W0=sz00))|((aElementOf0(sK21_skl,xI)&~sK21_skl=sz00)&(![W2]: ((~aElementOf0(W2,xI)|W2=sz00)|~iLess0(sbrdtbr0(W2),sbrdtbr0(sK21_skl)))))),
% 0.21/15.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl]),skolemize(W1,sK21_skl)],[f214])).
% 0.21/15.52 fof(f216,plain,(
% 0.21/15.52 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|aElementOf0(sK21_skl,xI))),
% 0.21/15.52 inference(cnf_transformation,[status(thm)],[f215])).
% 0.21/15.52 fof(f217,plain,(
% 0.21/15.52 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~sK21_skl=sz00)),
% 0.21/15.52 inference(cnf_transformation,[status(thm)],[f215])).
% 0.21/15.52 fof(f218,plain,(
% 0.21/15.52 ![X0,X1]: (~aElementOf0(X0,xI)|X0=sz00|~aElementOf0(X1,xI)|X1=sz00|~iLess0(sbrdtbr0(X1),sbrdtbr0(sK21_skl)))),
% 0.21/15.52 inference(cnf_transformation,[status(thm)],[f215])).
% 0.21/15.52 fof(f219,plain,(
% 0.21/15.52 (![W0]: ((~aElementOf0(W0,xI)|W0=sz00)|(?[W1]: ((aElementOf0(W1,xI)&~W1=sz00)&iLess0(sbrdtbr0(W1),sbrdtbr0(W0))))))),
% 0.21/15.52 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.21/15.52 fof(f220,plain,(
% 0.21/15.52 ![W0]: ((~aElementOf0(W0,xI)|W0=sz00)|((aElementOf0(sK22_skl(W0),xI)&~sK22_skl(W0)=sz00)&iLess0(sbrdtbr0(sK22_skl(W0)),sbrdtbr0(W0))))),
% 0.21/15.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl]),skolemize(W1,sK22_skl(W0))],[f219])).
% 0.21/15.52 fof(f221,plain,(
% 0.21/15.52 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|aElementOf0(sK22_skl(X0),xI))),
% 0.21/15.52 inference(cnf_transformation,[status(thm)],[f220])).
% 0.21/15.52 fof(f222,plain,(
% 0.21/15.52 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~sK22_skl(X0)=sz00)),
% 0.21/15.52 inference(cnf_transformation,[status(thm)],[f220])).
% 0.21/15.52 fof(f223,plain,(
% 0.21/15.52 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|iLess0(sbrdtbr0(sK22_skl(X0)),sbrdtbr0(X0)))),
% 0.21/15.52 inference(cnf_transformation,[status(thm)],[f220])).
% 0.21/15.52 fof(f254,plain,(
% 0.21/15.52 aElementOf0(sK20_skl,xI)),
% 0.21/15.52 inference(forward_demodulation,[status(thm)],[f205,f211])).
% 0.21/15.52 fof(f256,plain,(
% 0.21/15.52 ![X0,X1]: (~aElementOf0(X0,xI)|X0=sz00|sK22_skl(X1)=sz00|~iLess0(sbrdtbr0(sK22_skl(X1)),sbrdtbr0(sK21_skl))|~aElementOf0(X1,xI)|X1=sz00)),
% 0.21/15.52 inference(resolution,[status(thm)],[f218,f221])).
% 0.21/15.52 fof(f257,plain,(
% 0.21/15.53 ![X0,X1]: (~aElementOf0(X0,xI)|X0=sz00|~iLess0(sbrdtbr0(sK22_skl(X1)),sbrdtbr0(sK21_skl))|~aElementOf0(X1,xI)|X1=sz00)),
% 0.21/15.53 inference(forward_subsumption_resolution,[status(thm)],[f256,f222])).
% 0.21/15.53 fof(f258,plain,(
% 0.21/15.53 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~aElementOf0(sK21_skl,xI)|sK21_skl=sz00|~aElementOf0(sK21_skl,xI)|sK21_skl=sz00)),
% 0.21/15.53 inference(resolution,[status(thm)],[f257,f223])).
% 0.21/15.53 fof(f259,plain,(
% 0.21/15.53 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~aElementOf0(sK21_skl,xI)|sK21_skl=sz00)),
% 0.21/15.53 inference(duplicate_literals_removal,[status(thm)],[f258])).
% 0.21/15.53 fof(f260,plain,(
% 0.21/15.53 ![X0]: (~aElementOf0(X0,xI)|X0=sz00)),
% 0.21/15.53 inference(backward_subsumption_resolution,[status(thm)],[f217,f261])).
% 0.21/15.53 fof(f261,plain,(
% 0.21/15.53 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|sK21_skl=sz00)),
% 0.21/15.53 inference(forward_subsumption_resolution,[status(thm)],[f259,f216])).
% 0.21/15.53 fof(f262,plain,(
% 0.21/15.53 sK20_skl=sz00),
% 0.21/15.53 inference(resolution,[status(thm)],[f254,f260])).
% 0.21/15.53 fof(f263,plain,(
% 0.21/15.53 $false),
% 0.21/15.53 inference(forward_subsumption_resolution,[status(thm)],[f262,f212])).
% 0.21/15.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/15.57 % Elapsed time: 0.106837 seconds
% 0.21/15.57 % CPU time: 0.336589 seconds
% 0.21/15.57 % Total memory used: 108.374 MB
% 0.21/15.57 % Net memory used: 107.995 MB
%------------------------------------------------------------------------------