%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC127+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 : n007.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 02:41:39 PM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC127+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
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 07:55:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.13/0.39 % 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(f39,axiom,(
% 0.13/0.41 ~ singletonP(nil) ),
% 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)| ~ segmentP(X,W)| ( ~ singletonP(W)& neq(X,nil) )| ( neq(U,nil)& segmentP(V,U) ) ) ) )) )) )) )),
% 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)| ~ segmentP(X,W)| ( ~ singletonP(W)& neq(X,nil) )| ( neq(U,nil)& segmentP(V,U) ) ) ) )) )) )) ))),
% 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(f280,plain,(
% 0.13/0.41 ~singletonP(nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 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))&segmentP(X,W))&(singletonP(W)|~neq(X,nil)))&(~neq(U,nil)|~segmentP(V,U)))))))))))),
% 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))&segmentP(sK50_skl,sK49_skl))&(singletonP(sK49_skl)|~neq(sK50_skl,nil)))&(~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)))))))),
% 0.13/0.41 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)],[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 segmentP(sK50_skl,sK49_skl)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f425,plain,(
% 0.13/0.41 singletonP(sK49_skl)|~neq(sK50_skl,nil)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f426,plain,(
% 0.13/0.41 ~neq(sK47_skl,nil)|~segmentP(sK48_skl,sK47_skl)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.41 fof(f467,plain,(
% 0.13/0.41 segmentP(sK48_skl,sK49_skl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f421,f424])).
% 0.13/0.41 fof(f468,plain,(
% 0.13/0.41 segmentP(sK48_skl,sK47_skl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f422,f467])).
% 0.13/0.41 fof(f474,plain,(
% 0.13/0.41 singletonP(sK47_skl)|~neq(sK50_skl,nil)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f422,f425])).
% 0.13/0.41 fof(f475,plain,(
% 0.13/0.41 singletonP(sK47_skl)|~neq(sK48_skl,nil)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f421,f474])).
% 0.13/0.41 fof(f476,plain,(
% 0.13/0.41 singletonP(sK47_skl)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f475,f423])).
% 0.13/0.41 fof(f481,plain,(
% 0.13/0.41 ~neq(sK47_skl,nil)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f426,f468])).
% 0.13/0.41 fof(f482,plain,(
% 0.13/0.41 ~ssList(sK47_skl)|~ssList(nil)|sK47_skl=nil),
% 0.13/0.41 inference(resolution,[status(thm)],[f481,f220])).
% 0.13/0.41 fof(f483,plain,(
% 0.13/0.41 ~ssList(nil)|sK47_skl=nil),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f482,f417])).
% 0.13/0.41 fof(f541,plain,(
% 0.13/0.41 ~singletonP(sK47_skl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f543,f280])).
% 0.13/0.42 fof(f543,plain,(
% 0.13/0.42 sK47_skl=nil),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f483,f223])).
% 0.13/0.42 fof(f546,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f541,f476])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.062524 seconds
% 0.13/0.44 % CPU time: 0.180240 seconds
% 0.13/0.44 % Total memory used: 110.673 MB
% 0.13/0.44 % Net memory used: 110.520 MB
%------------------------------------------------------------------------------