%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC206+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 : n011.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 02:41:51 PM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC206+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
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:04:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f15,axiom,(
% 0.13/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f17,axiom,(
% 0.13/0.41 ssList(nil) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f58,axiom,(
% 0.13/0.41 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f96,conjecture,(
% 0.13/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| neq(U,nil)| ( nil != W& nil = X )| ( (! [Y] :( ssList(Y)=> ( ~ neq(Y,nil)| ~ segmentP(X,Y)| ~ segmentP(W,Y) ) ))& neq(X,nil) ) ) ) )) )) )) )),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f97,negated_conjecture,(
% 0.13/0.41 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| neq(U,nil)| ( nil != W& nil = X )| ( (! [Y] :( ssList(Y)=> ( ~ neq(Y,nil)| ~ segmentP(X,Y)| ~ segmentP(W,Y) ) ))& neq(X,nil) ) ) ) )) )) )) ))),
% 0.13/0.41 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.41 fof(f217,plain,(
% 0.13/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.41 fof(f218,plain,(
% 0.13/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.13/0.41 inference(NNF_transformation,[status(thm)],[f217])).
% 0.13/0.41 fof(f220,plain,(
% 0.13/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f218])).
% 0.13/0.41 fof(f223,plain,(
% 0.13/0.41 ssList(nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.41 fof(f324,plain,(
% 0.13/0.41 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.13/0.41 fof(f325,plain,(
% 0.13/0.41 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.13/0.41 inference(NNF_transformation,[status(thm)],[f324])).
% 0.13/0.41 fof(f326,plain,(
% 0.13/0.41 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f325])).
% 0.13/0.41 fof(f415,plain,(
% 0.13/0.41 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&~neq(U,nil))&(nil=W|~nil=X))&((?[Y]: (ssList(Y)&((neq(Y,nil)&segmentP(X,Y))&segmentP(W,Y))))|~neq(X,nil)))))))))))),
% 0.13/0.41 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.13/0.41 fof(f416,plain,(
% 0.13/0.41 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&~neq(sK47_skl,nil))&(nil=sK49_skl|~nil=sK50_skl))&((ssList(sK51_skl)&((neq(sK51_skl,nil)&segmentP(sK50_skl,sK51_skl))&segmentP(sK49_skl,sK51_skl)))|~neq(sK50_skl,nil)))))))),
% 0.13/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl)],[f415])).
% 0.13/0.41 fof(f417,plain,(
% 0.13/0.41 ssList(sK47_skl)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f421,plain,(
% 0.13/0.41 sK48_skl=sK50_skl),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f422,plain,(
% 0.13/0.41 sK47_skl=sK49_skl),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f423,plain,(
% 0.13/0.41 neq(sK48_skl,nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f424,plain,(
% 0.13/0.41 ~neq(sK47_skl,nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f426,plain,(
% 0.13/0.41 ssList(sK51_skl)|~neq(sK50_skl,nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f427,plain,(
% 0.13/0.41 neq(sK51_skl,nil)|~neq(sK50_skl,nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f429,plain,(
% 0.13/0.41 segmentP(sK49_skl,sK51_skl)|~neq(sK50_skl,nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f467,plain,(
% 0.13/0.41 ~ssList(sK47_skl)|~ssList(nil)|sK47_skl=nil),
% 0.13/0.41 inference(resolution,[status(thm)],[f220,f424])).
% 0.13/0.41 fof(f469,plain,(
% 0.13/0.41 ~ssList(nil)|sK47_skl=nil),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f467,f417])).
% 0.13/0.41 fof(f480,plain,(
% 0.13/0.41 ssList(sK51_skl)|~neq(sK48_skl,nil)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f421,f426])).
% 0.13/0.41 fof(f481,plain,(
% 0.13/0.41 ssList(sK51_skl)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f480,f423])).
% 0.13/0.41 fof(f482,plain,(
% 0.13/0.41 neq(sK51_skl,nil)|~neq(sK48_skl,nil)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f421,f427])).
% 0.13/0.41 fof(f483,plain,(
% 0.13/0.41 neq(sK51_skl,nil)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f482,f423])).
% 0.13/0.41 fof(f522,plain,(
% 0.13/0.41 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|sK47_skl=X0)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f534,f326])).
% 0.13/0.41 fof(f524,plain,(
% 0.13/0.41 neq(sK51_skl,sK47_skl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f534,f483])).
% 0.13/0.41 fof(f530,plain,(
% 0.13/0.41 ~neq(sK47_skl,sK47_skl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f534,f424])).
% 0.13/0.41 fof(f531,plain,(
% 0.13/0.41 neq(sK48_skl,sK47_skl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f534,f423])).
% 0.13/0.41 fof(f534,plain,(
% 0.13/0.41 sK47_skl=nil),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f469,f223])).
% 0.13/0.41 fof(f535,plain,(
% 0.13/0.41 ![X0]: (~ssList(X0)|~segmentP(sK47_skl,X0)|sK47_skl=X0)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f534,f522])).
% 0.13/0.41 fof(f537,plain,(
% 0.13/0.41 segmentP(sK47_skl,sK51_skl)|~neq(sK50_skl,nil)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f422,f429])).
% 0.13/0.41 fof(f538,plain,(
% 0.13/0.41 segmentP(sK47_skl,sK51_skl)|~neq(sK48_skl,nil)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f421,f537])).
% 0.13/0.41 fof(f539,plain,(
% 0.13/0.41 segmentP(sK47_skl,sK51_skl)|~neq(sK48_skl,sK47_skl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f534,f538])).
% 0.13/0.41 fof(f561,plain,(
% 0.13/0.41 segmentP(sK47_skl,sK51_skl)),
% 0.13/0.41 inference(backward_subsumption_resolution,[status(thm)],[f539,f531])).
% 0.13/0.41 fof(f562,plain,(
% 0.13/0.41 ~ssList(sK51_skl)|sK47_skl=sK51_skl),
% 0.13/0.41 inference(resolution,[status(thm)],[f561,f535])).
% 0.13/0.41 fof(f566,plain,(
% 0.13/0.41 sK47_skl=sK51_skl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f562,f481])).
% 0.13/0.41 fof(f584,plain,(
% 0.13/0.41 neq(sK47_skl,sK47_skl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f566,f524])).
% 0.13/0.41 fof(f587,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f584,f530])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.064141 seconds
% 0.13/0.44 % CPU time: 0.203603 seconds
% 0.13/0.44 % Total memory used: 111.000 MB
% 0.13/0.44 % Net memory used: 110.823 MB
%------------------------------------------------------------------------------