%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC116+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 : 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 02:41:37 PM UTC 2026
% Result : Theorem 0.21s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC116+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.64 % Computer : n003.cluster.edu
% 0.17/0.64 % Model : x86_64 x86_64
% 0.17/0.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.64 % Memory : 8046.5625MB
% 0.17/0.64 % OS : Linux 6.8.0-71-generic
% 0.17/0.64 % CPULimit : 300
% 0.17/0.64 % WCLimit : 300
% 0.17/0.64 % DateTime : Mon Sep 21 07:58:31 UTC 2026
% 0.17/0.64 % CPUTime :
% 0.21/0.67 % Drodi V4.1.1
% 0.21/0.68 % Refutation found
% 0.21/0.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.68 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.68 fof(f15,axiom,(
% 0.21/0.68 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.21/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.68 fof(f17,axiom,(
% 0.21/0.68 ssList(nil) ),
% 0.21/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.68 fof(f96,conjecture,(
% 0.21/0.68 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( nil != W& nil = X )| ( nil = V& nil = U )| ( neq(U,nil)& segmentP(V,U) )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) ) )) )) )) )),
% 0.21/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.68 fof(f97,negated_conjecture,(
% 0.21/0.68 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( nil != W& nil = X )| ( nil = V& nil = U )| ( neq(U,nil)& segmentP(V,U) )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) ) )) )) )) ))),
% 0.21/0.68 inference(negated_conjecture,[status(cth)],[f96])).
% 0.21/0.68 fof(f217,plain,(
% 0.21/0.68 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.21/0.68 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.21/0.68 fof(f218,plain,(
% 0.21/0.68 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.21/0.68 inference(NNF_transformation,[status(thm)],[f217])).
% 0.21/0.68 fof(f220,plain,(
% 0.21/0.68 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.21/0.68 inference(cnf_transformation,[status(thm)],[f218])).
% 0.21/0.68 fof(f223,plain,(
% 0.21/0.68 ssList(nil)),
% 0.21/0.68 inference(cnf_transformation,[status(thm)],[f17])).
% 0.21/0.68 fof(f415,plain,(
% 0.21/0.68 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&(nil=W|~nil=X))&(~nil=V|~nil=U))&(~neq(U,nil)|~segmentP(V,U)))&(~neq(X,nil)|(neq(W,nil)&segmentP(X,W))))))))))))),
% 0.21/0.68 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.21/0.68 fof(f416,plain,(
% 0.21/0.68 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(nil=sK49_skl|~nil=sK50_skl))&(~nil=sK48_skl|~nil=sK47_skl))&(~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)))&(~neq(sK50_skl,nil)|(neq(sK49_skl,nil)&segmentP(sK50_skl,sK49_skl))))))))),
% 0.21/0.68 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])).
% 0.21/0.68 fof(f418,plain,(
% 0.21/0.68 ssList(sK48_skl)),
% 0.21/0.68 inference(cnf_transformation,[status(thm)],[f416])).
% 0.21/0.68 fof(f421,plain,(
% 0.21/0.68 sK48_skl=sK50_skl),
% 0.21/0.68 inference(cnf_transformation,[status(thm)],[f416])).
% 0.21/0.68 fof(f422,plain,(
% 0.21/0.68 sK47_skl=sK49_skl),
% 0.21/0.68 inference(cnf_transformation,[status(thm)],[f416])).
% 0.21/0.68 fof(f423,plain,(
% 0.21/0.68 nil=sK49_skl|~nil=sK50_skl),
% 0.21/0.68 inference(cnf_transformation,[status(thm)],[f416])).
% 0.21/0.68 fof(f424,plain,(
% 0.21/0.68 ~nil=sK48_skl|~nil=sK47_skl),
% 0.21/0.68 inference(cnf_transformation,[status(thm)],[f416])).
% 0.21/0.68 fof(f425,plain,(
% 0.21/0.68 ~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)),
% 0.21/0.68 inference(cnf_transformation,[status(thm)],[f416])).
% 0.21/0.68 fof(f426,plain,(
% 0.21/0.68 ~neq(sK50_skl,nil)|neq(sK49_skl,nil)),
% 0.21/0.68 inference(cnf_transformation,[status(thm)],[f416])).
% 0.21/0.68 fof(f427,plain,(
% 0.21/0.68 ~neq(sK50_skl,nil)|segmentP(sK50_skl,sK49_skl)),
% 0.21/0.68 inference(cnf_transformation,[status(thm)],[f416])).
% 0.21/0.68 fof(f464,plain,(
% 0.21/0.68 nil=sK47_skl|~nil=sK50_skl),
% 0.21/0.68 inference(forward_demodulation,[status(thm)],[f422,f423])).
% 0.21/0.68 fof(f465,plain,(
% 0.21/0.68 nil=sK47_skl|~nil=sK48_skl),
% 0.21/0.68 inference(forward_demodulation,[status(thm)],[f421,f464])).
% 0.21/0.68 fof(f477,plain,(
% 0.21/0.68 ~nil=sK48_skl),
% 0.21/0.68 inference(forward_subsumption_resolution,[status(thm)],[f424,f465])).
% 0.21/0.68 fof(f480,plain,(
% 0.21/0.68 ~neq(sK48_skl,nil)|neq(sK49_skl,nil)),
% 0.21/0.68 inference(forward_demodulation,[status(thm)],[f421,f426])).
% 0.21/0.68 fof(f481,plain,(
% 0.21/0.68 ~neq(sK48_skl,nil)|neq(sK47_skl,nil)),
% 0.21/0.68 inference(forward_demodulation,[status(thm)],[f422,f480])).
% 0.21/0.68 fof(f482,plain,(
% 0.21/0.68 neq(sK47_skl,nil)|~ssList(sK48_skl)|~ssList(nil)|sK48_skl=nil),
% 0.21/0.68 inference(resolution,[status(thm)],[f481,f220])).
% 0.21/0.68 fof(f483,plain,(
% 0.21/0.68 neq(sK47_skl,nil)|~ssList(nil)|sK48_skl=nil),
% 0.21/0.68 inference(forward_subsumption_resolution,[status(thm)],[f482,f418])).
% 0.21/0.68 fof(f498,plain,(
% 0.21/0.68 ~neq(sK48_skl,nil)|segmentP(sK50_skl,sK49_skl)),
% 0.21/0.68 inference(forward_demodulation,[status(thm)],[f421,f427])).
% 0.21/0.68 fof(f499,plain,(
% 0.21/0.68 ~neq(sK48_skl,nil)|segmentP(sK48_skl,sK49_skl)),
% 0.21/0.68 inference(forward_demodulation,[status(thm)],[f421,f498])).
% 0.21/0.68 fof(f500,plain,(
% 0.21/0.68 ~neq(sK48_skl,nil)|segmentP(sK48_skl,sK47_skl)),
% 0.21/0.68 inference(forward_demodulation,[status(thm)],[f422,f499])).
% 0.21/0.68 fof(f501,plain,(
% 0.21/0.68 segmentP(sK48_skl,sK47_skl)|~ssList(sK48_skl)|~ssList(nil)|sK48_skl=nil),
% 0.21/0.68 inference(resolution,[status(thm)],[f500,f220])).
% 0.21/0.68 fof(f502,plain,(
% 0.21/0.68 segmentP(sK48_skl,sK47_skl)|~ssList(nil)|sK48_skl=nil),
% 0.21/0.68 inference(forward_subsumption_resolution,[status(thm)],[f501,f418])).
% 0.21/0.68 fof(f518,plain,(
% 0.21/0.68 neq(sK47_skl,nil)|sK48_skl=nil),
% 0.21/0.68 inference(forward_subsumption_resolution,[status(thm)],[f483,f223])).
% 0.21/0.68 fof(f524,plain,(
% 0.21/0.68 segmentP(sK48_skl,sK47_skl)|sK48_skl=nil),
% 0.21/0.68 inference(forward_subsumption_resolution,[status(thm)],[f502,f223])).
% 0.21/0.68 fof(f525,plain,(
% 0.21/0.68 sK48_skl=nil|~neq(sK47_skl,nil)),
% 0.21/0.68 inference(resolution,[status(thm)],[f524,f425])).
% 0.21/0.68 fof(f529,plain,(
% 0.21/0.68 ~neq(sK47_skl,nil)),
% 0.21/0.68 inference(forward_subsumption_resolution,[status(thm)],[f525,f477])).
% 0.21/0.68 fof(f534,plain,(
% 0.21/0.68 sK48_skl=nil),
% 0.21/0.68 inference(backward_subsumption_resolution,[status(thm)],[f518,f529])).
% 0.21/0.68 fof(f536,plain,(
% 0.21/0.68 $false),
% 0.21/0.68 inference(forward_subsumption_resolution,[status(thm)],[f534,f477])).
% 0.21/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.74 % Elapsed time: 0.089986 seconds
% 0.21/0.74 % CPU time: 0.144076 seconds
% 0.21/0.74 % Total memory used: 24.350 MB
% 0.21/0.74 % Net memory used: 24.319 MB
%------------------------------------------------------------------------------