%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC044+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 02:41:25 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC044+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 07:53:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f52,axiom,(
% 0.10/0.41 (! [U] :( ssList(U)=> ( rearsegP(nil,U)<=> nil = U ) ) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f96,conjecture,(
% 0.10/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != V| V != X| U != W| ~ rearsegP(X,W)| nil = U ) ) )) )) )) )),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f97,negated_conjecture,(
% 0.10/0.41 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != V| V != X| U != W| ~ rearsegP(X,W)| nil = U ) ) )) )) )) ))),
% 0.10/0.41 inference(negated_conjecture,[status(cth)],[f96])).
% 0.10/0.41 fof(f310,plain,(
% 0.10/0.41 ![U]: (~ssList(U)|(rearsegP(nil,U)<=>nil=U))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 0.10/0.41 fof(f311,plain,(
% 0.10/0.41 ![U]: (~ssList(U)|((~rearsegP(nil,U)|nil=U)&(rearsegP(nil,U)|~nil=U)))),
% 0.10/0.41 inference(NNF_transformation,[status(thm)],[f310])).
% 0.10/0.41 fof(f312,plain,(
% 0.10/0.41 ![X0]: (~ssList(X0)|~rearsegP(nil,X0)|nil=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f311])).
% 0.10/0.41 fof(f415,plain,(
% 0.10/0.41 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((nil=V&V=X)&U=W)&rearsegP(X,W))&~nil=U)))))))))),
% 0.10/0.41 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.10/0.41 fof(f416,plain,(
% 0.10/0.41 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((nil=sK48_skl&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&rearsegP(sK50_skl,sK49_skl))&~nil=sK47_skl)))))),
% 0.10/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f415])).
% 0.10/0.41 fof(f417,plain,(
% 0.10/0.41 ssList(sK47_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f421,plain,(
% 0.10/0.41 nil=sK48_skl),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f422,plain,(
% 0.10/0.41 sK48_skl=sK50_skl),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f423,plain,(
% 0.10/0.41 sK47_skl=sK49_skl),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f424,plain,(
% 0.10/0.41 rearsegP(sK50_skl,sK49_skl)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f425,plain,(
% 0.10/0.41 ~nil=sK47_skl),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.10/0.41 fof(f469,plain,(
% 0.10/0.41 ~sK48_skl=sK47_skl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f421,f425])).
% 0.10/0.41 fof(f470,plain,(
% 0.10/0.41 rearsegP(sK48_skl,sK49_skl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f422,f424])).
% 0.10/0.41 fof(f471,plain,(
% 0.10/0.41 rearsegP(sK48_skl,sK47_skl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f423,f470])).
% 0.10/0.41 fof(f488,plain,(
% 0.10/0.41 ![X0]: (~ssList(X0)|~rearsegP(sK48_skl,X0)|nil=X0)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f421,f312])).
% 0.10/0.41 fof(f489,plain,(
% 0.10/0.41 ![X0]: (~ssList(X0)|~rearsegP(sK48_skl,X0)|sK48_skl=X0)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f421,f488])).
% 0.10/0.41 fof(f493,plain,(
% 0.10/0.41 ~rearsegP(sK48_skl,sK47_skl)|sK48_skl=sK47_skl),
% 0.10/0.41 inference(resolution,[status(thm)],[f489,f417])).
% 0.10/0.41 fof(f494,plain,(
% 0.10/0.41 sK48_skl=sK47_skl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f493,f471])).
% 0.10/0.42 fof(f501,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f494,f469])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.066063 seconds
% 0.10/0.45 % CPU time: 0.177431 seconds
% 0.10/0.45 % Total memory used: 110.406 MB
% 0.10/0.45 % Net memory used: 110.272 MB
%------------------------------------------------------------------------------