%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC369+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 : n014.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 02:42:17 PM UTC 2026
% Result : Theorem 0.08s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC369+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:19:04 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.40 fof(f15,axiom,(
% 0.08/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f17,axiom,(
% 0.08/0.40 ssList(nil) ),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f57,axiom,(
% 0.08/0.40 (! [U] :( ssList(U)=> segmentP(U,nil) ) )),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f96,conjecture,(
% 0.08/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| segmentP(V,U)| ( nil != W& nil = X )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) ) )) )) )) )),
% 0.08/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.40 fof(f97,negated_conjecture,(
% 0.08/0.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| segmentP(V,U)| ( nil != W& nil = X )| ( neq(X,nil)& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) ) )) )) )) ))),
% 0.08/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.08/0.40 fof(f217,plain,(
% 0.08/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.08/0.40 fof(f218,plain,(
% 0.08/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.08/0.40 inference(NNF_transformation,[status(thm)],[f217])).
% 0.08/0.40 fof(f220,plain,(
% 0.08/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f218])).
% 0.08/0.40 fof(f223,plain,(
% 0.08/0.40 ssList(nil)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.40 fof(f322,plain,(
% 0.08/0.40 ![U]: (~ssList(U)|segmentP(U,nil))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.08/0.40 fof(f323,plain,(
% 0.08/0.40 ![X0]: (~ssList(X0)|segmentP(X0,nil))),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f322])).
% 0.08/0.40 fof(f415,plain,(
% 0.08/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&~segmentP(V,U))&(nil=W|~nil=X))&(~neq(X,nil)|(neq(W,nil)&segmentP(X,W))))))))))))),
% 0.08/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.08/0.40 fof(f416,plain,(
% 0.08/0.40 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&~segmentP(sK48_skl,sK47_skl))&(nil=sK49_skl|~nil=sK50_skl))&(~neq(sK50_skl,nil)|(neq(sK49_skl,nil)&segmentP(sK50_skl,sK49_skl))))))))),
% 0.08/0.40 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])).
% 0.08/0.40 fof(f417,plain,(
% 0.08/0.40 ssList(sK47_skl)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.08/0.40 fof(f418,plain,(
% 0.08/0.40 ssList(sK48_skl)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.08/0.40 fof(f421,plain,(
% 0.08/0.40 sK48_skl=sK50_skl),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.08/0.40 fof(f422,plain,(
% 0.08/0.40 sK47_skl=sK49_skl),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.08/0.40 fof(f423,plain,(
% 0.08/0.40 ~segmentP(sK48_skl,sK47_skl)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.08/0.40 fof(f424,plain,(
% 0.08/0.40 nil=sK49_skl|~nil=sK50_skl),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.08/0.40 fof(f426,plain,(
% 0.08/0.40 ~neq(sK50_skl,nil)|segmentP(sK50_skl,sK49_skl)),
% 0.08/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.08/0.40 fof(f468,plain,(
% 0.08/0.40 nil=sK47_skl|~nil=sK50_skl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f422,f424])).
% 0.08/0.40 fof(f469,plain,(
% 0.08/0.40 nil=sK47_skl|~nil=sK48_skl),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f421,f468])).
% 0.08/0.40 fof(f474,plain,(
% 0.08/0.40 ~neq(sK48_skl,nil)|segmentP(sK50_skl,sK49_skl)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f421,f426])).
% 0.08/0.40 fof(f475,plain,(
% 0.08/0.40 ~neq(sK48_skl,nil)|segmentP(sK48_skl,sK49_skl)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f421,f474])).
% 0.08/0.40 fof(f476,plain,(
% 0.08/0.40 ~neq(sK48_skl,nil)|segmentP(sK48_skl,sK47_skl)),
% 0.08/0.40 inference(forward_demodulation,[status(thm)],[f422,f475])).
% 0.08/0.40 fof(f477,plain,(
% 0.08/0.40 ~neq(sK48_skl,nil)),
% 0.08/0.40 inference(forward_subsumption_resolution,[status(thm)],[f476,f423])).
% 0.08/0.40 fof(f478,plain,(
% 0.08/0.40 ~ssList(sK48_skl)|~ssList(nil)|sK48_skl=nil),
% 0.08/0.40 inference(resolution,[status(thm)],[f477,f220])).
% 0.08/0.40 fof(f479,plain,(
% 0.08/0.41 ~ssList(nil)|sK48_skl=nil),
% 0.08/0.41 inference(forward_subsumption_resolution,[status(thm)],[f478,f418])).
% 0.08/0.41 fof(f485,plain,(
% 0.08/0.41 ![X0]: (~ssList(X0)|segmentP(X0,sK48_skl))),
% 0.08/0.41 inference(backward_demodulation,[status(thm)],[f494,f323])).
% 0.08/0.41 fof(f487,plain,(
% 0.08/0.41 nil=sK47_skl|~sK48_skl=sK48_skl),
% 0.08/0.41 inference(backward_demodulation,[status(thm)],[f494,f469])).
% 0.08/0.41 fof(f494,plain,(
% 0.08/0.41 sK48_skl=nil),
% 0.08/0.41 inference(forward_subsumption_resolution,[status(thm)],[f479,f223])).
% 0.08/0.41 fof(f495,plain,(
% 0.08/0.41 sK48_skl=sK47_skl|~sK48_skl=sK48_skl),
% 0.08/0.41 inference(forward_demodulation,[status(thm)],[f494,f487])).
% 0.08/0.41 fof(f496,plain,(
% 0.08/0.41 sK48_skl=sK47_skl),
% 0.08/0.41 inference(trivial_equality_resolution,[status(thm)],[f495])).
% 0.08/0.41 fof(f527,plain,(
% 0.08/0.41 ![X0]: (~ssList(X0)|segmentP(X0,sK47_skl))),
% 0.08/0.41 inference(backward_demodulation,[status(thm)],[f496,f485])).
% 0.08/0.41 fof(f530,plain,(
% 0.08/0.41 ~segmentP(sK47_skl,sK47_skl)),
% 0.08/0.41 inference(backward_demodulation,[status(thm)],[f496,f423])).
% 0.08/0.41 fof(f562,plain,(
% 0.08/0.41 ~ssList(sK47_skl)),
% 0.08/0.41 inference(resolution,[status(thm)],[f530,f527])).
% 0.08/0.41 fof(f564,plain,(
% 0.08/0.41 $false),
% 0.08/0.41 inference(forward_subsumption_resolution,[status(thm)],[f562,f417])).
% 0.08/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.43 % Elapsed time: 0.055627 seconds
% 0.08/0.43 % CPU time: 0.149181 seconds
% 0.08/0.43 % Total memory used: 52.079 MB
% 0.08/0.43 % Net memory used: 52.007 MB
%------------------------------------------------------------------------------