%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC121+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 : n017.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 02:41:38 PM UTC 2026
% Result : Theorem 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC121+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
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 07:52:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f96,conjecture,(
% 0.15/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| ~ neq(W,nil)| ~ segmentP(X,W)| ( neq(U,nil)& segmentP(V,U) ) )& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f97,negated_conjecture,(
% 0.15/0.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| ~ neq(W,nil)| ~ segmentP(X,W)| ( neq(U,nil)& segmentP(V,U) ) )& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.15/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/0.40 fof(f415,plain,(
% 0.15/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&((((neq(V,nil)&neq(W,nil))&segmentP(X,W))&(~neq(U,nil)|~segmentP(V,U)))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.15/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.15/0.41 fof(f416,definition,(
% 0.15/0.41 ![U,V,W,X]: (sP0_prd(X,W,V,U)<=>(((neq(V,nil)&neq(W,nil))&segmentP(X,W))&(~neq(U,nil)|~segmentP(V,U))))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.15/0.41 fof(f417,plain,(
% 0.15/0.41 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(sP0_prd(X,W,V,U)|(neq(V,nil)&~neq(X,nil)))))))))))),
% 0.15/0.41 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.15/0.41 fof(f418,plain,(
% 0.15/0.41 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(sP0_prd(sK50_skl,sK49_skl,sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&~neq(sK50_skl,nil))))))))),
% 0.15/0.41 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)],[f417])).
% 0.15/0.41 fof(f423,plain,(
% 0.15/0.41 sK48_skl=sK50_skl),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.41 fof(f424,plain,(
% 0.15/0.41 sK47_skl=sK49_skl),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.41 fof(f425,plain,(
% 0.15/0.41 sP0_prd(sK50_skl,sK49_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.41 fof(f426,plain,(
% 0.15/0.41 sP0_prd(sK50_skl,sK49_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/0.41 fof(f427,plain,(
% 0.15/0.41 ![U,V,W,X]: ((~sP0_prd(X,W,V,U)|(((neq(V,nil)&neq(W,nil))&segmentP(X,W))&(~neq(U,nil)|~segmentP(V,U))))&(sP0_prd(X,W,V,U)|(((~neq(V,nil)|~neq(W,nil))|~segmentP(X,W))|(neq(U,nil)&segmentP(V,U)))))),
% 0.15/0.41 inference(NNF_transformation,[status(thm)],[f416])).
% 0.15/0.41 fof(f428,plain,(
% 0.15/0.41 (![U,V,W,X]: (~sP0_prd(X,W,V,U)|(((neq(V,nil)&neq(W,nil))&segmentP(X,W))&(~neq(U,nil)|~segmentP(V,U)))))&(![U,V,W,X]: (sP0_prd(X,W,V,U)|(((~neq(V,nil)|~neq(W,nil))|~segmentP(X,W))|(neq(U,nil)&segmentP(V,U)))))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f427])).
% 0.15/0.41 fof(f430,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|neq(X1,nil))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f428])).
% 0.15/0.41 fof(f431,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|segmentP(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f428])).
% 0.15/0.41 fof(f432,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|~neq(X3,nil)|~segmentP(X2,X3))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f428])).
% 0.15/0.41 fof(f471,plain,(
% 0.15/0.41 sP0_prd(sK48_skl,sK49_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f423,f425])).
% 0.15/0.41 fof(f472,plain,(
% 0.15/0.41 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f424,f471])).
% 0.15/0.41 fof(f485,plain,(
% 0.15/0.41 sP0_prd(sK48_skl,sK49_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f423,f426])).
% 0.15/0.41 fof(f486,plain,(
% 0.15/0.41 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f424,f485])).
% 0.15/0.41 fof(f487,plain,(
% 0.15/0.41 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(sK48_skl,nil)),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f423,f486])).
% 0.15/0.41 fof(f488,plain,(
% 0.15/0.41 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f487,f472])).
% 0.15/0.41 fof(f489,plain,(
% 0.15/0.41 segmentP(sK48_skl,sK47_skl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f488,f431])).
% 0.15/0.41 fof(f522,plain,(
% 0.15/0.41 neq(sK47_skl,nil)),
% 0.15/0.41 inference(resolution,[status(thm)],[f430,f488])).
% 0.15/0.41 fof(f523,plain,(
% 0.15/0.41 ~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f432,f488])).
% 0.15/0.41 fof(f524,plain,(
% 0.15/0.41 ~neq(sK47_skl,nil)),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f523,f489])).
% 0.15/0.41 fof(f529,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f524,f522])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44 % Elapsed time: 0.052651 seconds
% 0.15/0.44 % CPU time: 0.166450 seconds
% 0.15/0.44 % Total memory used: 96.866 MB
% 0.15/0.44 % Net memory used: 96.709 MB
%------------------------------------------------------------------------------