%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC373+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 02:42:18 PM UTC 2026
% Result : Theorem 0.19s 1.03s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC373+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:24:44 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 0.19/1.03 % Refutation found
% 0.19/1.03 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/1.03 % SZS output start CNFRefutation for theBenchmark
% 0.19/1.03 fof(f6,axiom,(
% 0.19/1.03 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( rearsegP(U,V)<=> (? [W] :( ssList(W)& app(W,V) = U ) )) ) )) )),
% 0.19/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/1.03 fof(f7,axiom,(
% 0.19/1.03 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( segmentP(U,V)<=> (? [W] :( ssList(W)& (? [X] :( ssList(X)& app(app(W,V),X) = U ) )) )) ) )) )),
% 0.19/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/1.03 fof(f17,axiom,(
% 0.19/1.03 ssList(nil) ),
% 0.19/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/1.03 fof(f84,axiom,(
% 0.19/1.03 (! [U] :( ssList(U)=> app(U,nil) = U ) )),
% 0.19/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/1.03 fof(f96,conjecture,(
% 0.19/1.03 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ rearsegP(X,W)| segmentP(V,U) ) ) )) )) )) )),
% 0.19/1.03 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/1.03 fof(f97,negated_conjecture,(
% 0.19/1.03 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ rearsegP(X,W)| segmentP(V,U) ) ) )) )) )) ))),
% 0.19/1.03 inference(negated_conjecture,[status(cth)],[f96])).
% 0.19/1.03 fof(f125,plain,(
% 0.19/1.03 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(rearsegP(U,V)<=>(?[W]: (ssList(W)&app(W,V)=U))))))),
% 0.19/1.03 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.19/1.03 fof(f126,plain,(
% 0.19/1.03 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(?[W]: (ssList(W)&app(W,V)=U)))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.19/1.03 inference(NNF_transformation,[status(thm)],[f125])).
% 0.19/1.03 fof(f127,plain,(
% 0.19/1.03 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|(ssList(sK6_skl(V,U))&app(sK6_skl(V,U),V)=U))&(rearsegP(U,V)|(![W]: (~ssList(W)|~app(W,V)=U)))))))),
% 0.19/1.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(W,sK6_skl(V,U))],[f126])).
% 0.19/1.03 fof(f128,plain,(
% 0.19/1.03 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|ssList(sK6_skl(X1,X0)))),
% 0.19/1.03 inference(cnf_transformation,[status(thm)],[f127])).
% 0.19/1.03 fof(f129,plain,(
% 0.19/1.03 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|app(sK6_skl(X1,X0),X1)=X0)),
% 0.19/1.03 inference(cnf_transformation,[status(thm)],[f127])).
% 0.19/1.03 fof(f131,plain,(
% 0.19/1.03 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(segmentP(U,V)<=>(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U))))))))),
% 0.19/1.03 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.19/1.03 fof(f132,plain,(
% 0.19/1.03 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(?[W]: (ssList(W)&(?[X]: (ssList(X)&app(app(W,V),X)=U)))))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.19/1.03 inference(NNF_transformation,[status(thm)],[f131])).
% 0.19/1.03 fof(f133,plain,(
% 0.19/1.03 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~segmentP(U,V)|(ssList(sK7_skl(V,U))&(ssList(sK8_skl(V,U))&app(app(sK7_skl(V,U),V),sK8_skl(V,U))=U)))&(segmentP(U,V)|(![W]: (~ssList(W)|(![X]: (~ssList(X)|~app(app(W,V),X)=U)))))))))),
% 0.19/1.03 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132])).
% 0.19/1.03 fof(f137,plain,(
% 0.19/1.03 ![X0,X1,X2,X3]: (~ssList(X0)|~ssList(X1)|segmentP(X0,X1)|~ssList(X2)|~ssList(X3)|~app(app(X2,X1),X3)=X0)),
% 0.19/1.03 inference(cnf_transformation,[status(thm)],[f133])).
% 0.19/1.03 fof(f223,plain,(
% 0.19/1.03 ssList(nil)),
% 0.19/1.03 inference(cnf_transformation,[status(thm)],[f17])).
% 0.19/1.03 fof(f388,plain,(
% 0.19/1.03 ![U]: (~ssList(U)|app(U,nil)=U)),
% 0.19/1.03 inference(pre_NNF_transformation,[status(thm)],[f84])).
% 0.19/1.03 fof(f389,plain,(
% 0.19/1.03 ![X0]: (~ssList(X0)|app(X0,nil)=X0)),
% 0.19/1.03 inference(cnf_transformation,[status(thm)],[f388])).
% 0.19/1.03 fof(f415,plain,(
% 0.19/1.03 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&rearsegP(X,W))&~segmentP(V,U))))))))))),
% 0.19/1.03 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.19/1.03 fof(f416,plain,(
% 0.19/1.03 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&rearsegP(sK50_skl,sK49_skl))&~segmentP(sK48_skl,sK47_skl))))))),
% 0.19/1.03 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])).
% 0.19/1.04 fof(f417,plain,(
% 0.19/1.04 ssList(sK47_skl)),
% 0.19/1.04 inference(cnf_transformation,[status(thm)],[f416])).
% 0.19/1.04 fof(f418,plain,(
% 0.19/1.04 ssList(sK48_skl)),
% 0.19/1.04 inference(cnf_transformation,[status(thm)],[f416])).
% 0.19/1.04 fof(f421,plain,(
% 0.19/1.04 sK48_skl=sK50_skl),
% 0.19/1.04 inference(cnf_transformation,[status(thm)],[f416])).
% 0.19/1.04 fof(f422,plain,(
% 0.19/1.04 sK47_skl=sK49_skl),
% 0.19/1.04 inference(cnf_transformation,[status(thm)],[f416])).
% 0.19/1.04 fof(f423,plain,(
% 0.19/1.04 rearsegP(sK50_skl,sK49_skl)),
% 0.19/1.04 inference(cnf_transformation,[status(thm)],[f416])).
% 0.19/1.04 fof(f424,plain,(
% 0.19/1.04 ~segmentP(sK48_skl,sK47_skl)),
% 0.19/1.04 inference(cnf_transformation,[status(thm)],[f416])).
% 0.19/1.04 fof(f431,plain,(
% 0.19/1.04 ![X0,X1,X2]: (~ssList(app(app(X0,X1),X2))|~ssList(X1)|segmentP(app(app(X0,X1),X2),X1)|~ssList(X0)|~ssList(X2))),
% 0.19/1.04 inference(destructive_equality_resolution,[status(thm)],[f137])).
% 0.19/1.04 fof(f464,plain,(
% 0.19/1.04 rearsegP(sK48_skl,sK49_skl)),
% 0.19/1.04 inference(forward_demodulation,[status(thm)],[f421,f423])).
% 0.19/1.04 fof(f465,plain,(
% 0.19/1.04 rearsegP(sK48_skl,sK47_skl)),
% 0.19/1.04 inference(forward_demodulation,[status(thm)],[f422,f464])).
% 0.19/1.04 fof(f519,plain,(
% 0.19/1.04 ~ssList(sK48_skl)|~ssList(sK47_skl)|app(sK6_skl(sK47_skl,sK48_skl),sK47_skl)=sK48_skl),
% 0.19/1.04 inference(resolution,[status(thm)],[f129,f465])).
% 0.19/1.04 fof(f524,plain,(
% 0.19/1.04 ~ssList(sK47_skl)|app(sK6_skl(sK47_skl,sK48_skl),sK47_skl)=sK48_skl),
% 0.19/1.04 inference(forward_subsumption_resolution,[status(thm)],[f519,f418])).
% 0.19/1.04 fof(f549,plain,(
% 0.19/1.04 app(sK6_skl(sK47_skl,sK48_skl),sK47_skl)=sK48_skl),
% 0.19/1.04 inference(forward_subsumption_resolution,[status(thm)],[f524,f417])).
% 0.19/1.04 fof(f553,plain,(
% 0.19/1.04 ![X0]: (~ssList(app(sK48_skl,X0))|~ssList(sK47_skl)|segmentP(app(app(sK6_skl(sK47_skl,sK48_skl),sK47_skl),X0),sK47_skl)|~ssList(sK6_skl(sK47_skl,sK48_skl))|~ssList(X0))),
% 0.19/1.04 inference(paramodulation,[status(thm)],[f549,f431])).
% 0.19/1.04 fof(f559,plain,(
% 0.19/1.04 ![X0]: (~ssList(app(sK48_skl,X0))|~ssList(sK47_skl)|segmentP(app(sK48_skl,X0),sK47_skl)|~ssList(sK6_skl(sK47_skl,sK48_skl))|~ssList(X0))),
% 0.19/1.04 inference(forward_demodulation,[status(thm)],[f549,f553])).
% 0.19/1.04 fof(f560,plain,(
% 0.19/1.04 ![X0]: (~ssList(app(sK48_skl,X0))|segmentP(app(sK48_skl,X0),sK47_skl)|~ssList(sK6_skl(sK47_skl,sK48_skl))|~ssList(X0))),
% 0.19/1.04 inference(forward_subsumption_resolution,[status(thm)],[f559,f417])).
% 0.19/1.04 fof(f1172,plain,(
% 0.19/1.04 app(sK48_skl,nil)=sK48_skl),
% 0.19/1.04 inference(resolution,[status(thm)],[f389,f418])).
% 0.19/1.04 fof(f1174,plain,(
% 0.19/1.04 ~ssList(sK48_skl)|segmentP(app(sK48_skl,nil),sK47_skl)|~ssList(sK6_skl(sK47_skl,sK48_skl))|~ssList(nil)),
% 0.19/1.04 inference(paramodulation,[status(thm)],[f1172,f560])).
% 0.19/1.04 fof(f1185,plain,(
% 0.19/1.04 ~ssList(sK48_skl)|segmentP(sK48_skl,sK47_skl)|~ssList(sK6_skl(sK47_skl,sK48_skl))|~ssList(nil)),
% 0.19/1.04 inference(forward_demodulation,[status(thm)],[f1172,f1174])).
% 0.19/1.04 fof(f1186,plain,(
% 0.19/1.04 segmentP(sK48_skl,sK47_skl)|~ssList(sK6_skl(sK47_skl,sK48_skl))|~ssList(nil)),
% 0.19/1.04 inference(forward_subsumption_resolution,[status(thm)],[f1185,f418])).
% 0.19/1.04 fof(f1854,plain,(
% 0.19/1.04 ~ssList(sK6_skl(sK47_skl,sK48_skl))|~ssList(nil)),
% 0.19/1.04 inference(forward_subsumption_resolution,[status(thm)],[f1186,f424])).
% 0.19/1.04 fof(f1855,plain,(
% 0.19/1.04 ~ssList(nil)|~ssList(sK48_skl)|~ssList(sK47_skl)|~rearsegP(sK48_skl,sK47_skl)),
% 0.19/1.04 inference(resolution,[status(thm)],[f1854,f128])).
% 0.19/1.04 fof(f1856,plain,(
% 0.19/1.04 ~ssList(sK48_skl)|~ssList(sK47_skl)|~rearsegP(sK48_skl,sK47_skl)),
% 0.19/1.04 inference(forward_subsumption_resolution,[status(thm)],[f1855,f223])).
% 0.19/1.04 fof(f2008,plain,(
% 0.19/1.04 ~ssList(sK47_skl)|~rearsegP(sK48_skl,sK47_skl)),
% 0.19/1.04 inference(forward_subsumption_resolution,[status(thm)],[f1856,f418])).
% 0.19/1.04 fof(f2009,plain,(
% 0.19/1.04 ~rearsegP(sK48_skl,sK47_skl)),
% 0.19/1.04 inference(resolution,[status(thm)],[f2008,f417])).
% 0.19/1.04 fof(f2010,plain,(
% 0.19/1.04 $false),
% 0.19/1.04 inference(forward_subsumption_resolution,[status(thm)],[f2009,f465])).
% 0.19/1.04 % SZS output end CNFRefutation for theBenchmark.p
% 1.08/1.08 % Elapsed time: 0.700456 seconds
% 1.08/1.08 % CPU time: 4.840634 seconds
% 1.08/1.08 % Total memory used: 153.942 MB
% 1.08/1.08 % Net memory used: 150.998 MB
%------------------------------------------------------------------------------