%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC069+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 : n009.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 02:41:30 PM UTC 2026
% Result : Theorem 0.14s 10.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC069+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.38 % Computer : n009.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Mon Sep 21 07:53:08 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.14/10.40 % Drodi V4.1.1
% 0.14/10.42 % Refutation found
% 0.14/10.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.42 fof(f15,axiom,(
% 0.14/10.42 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f17,axiom,(
% 0.14/10.42 ssList(nil) ),
% 0.14/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f96,conjecture,(
% 0.14/10.42 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil != W& nil = X )| ( nil = V& nil = U )| ( (! [Z] :( ssList(Z)=> ( ~ neq(Z,nil)| ~ segmentP(X,Z)| ~ segmentP(W,Z) ) ))& neq(X,nil) ) ) ) )) )) )) )),
% 0.14/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f97,negated_conjecture,(
% 0.14/10.42 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& segmentP(V,Y)& segmentP(U,Y) ))| ( nil != W& nil = X )| ( nil = V& nil = U )| ( (! [Z] :( ssList(Z)=> ( ~ neq(Z,nil)| ~ segmentP(X,Z)| ~ segmentP(W,Z) ) ))& neq(X,nil) ) ) ) )) )) )) ))),
% 0.14/10.42 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/10.42 fof(f217,plain,(
% 0.14/10.42 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.14/10.42 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.14/10.42 fof(f218,plain,(
% 0.14/10.42 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/10.42 inference(NNF_transformation,[status(thm)],[f217])).
% 0.14/10.42 fof(f220,plain,(
% 0.14/10.42 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f218])).
% 0.14/10.42 fof(f223,plain,(
% 0.14/10.42 ssList(nil)),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/10.42 fof(f415,plain,(
% 0.14/10.42 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(V,Y))|~segmentP(U,Y))))&(nil=W|~nil=X))&(~nil=V|~nil=U))&((?[Z]: (ssList(Z)&((neq(Z,nil)&segmentP(X,Z))&segmentP(W,Z))))|~neq(X,nil)))))))))))),
% 0.14/10.42 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/10.42 fof(f416,plain,(
% 0.14/10.42 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~segmentP(sK48_skl,Y))|~segmentP(sK47_skl,Y))))&(nil=sK49_skl|~nil=sK50_skl))&(~nil=sK48_skl|~nil=sK47_skl))&((ssList(sK51_skl)&((neq(sK51_skl,nil)&segmentP(sK50_skl,sK51_skl))&segmentP(sK49_skl,sK51_skl)))|~neq(sK50_skl,nil)))))))),
% 0.14/10.42 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(Z,sK51_skl)],[f415])).
% 0.14/10.42 fof(f418,plain,(
% 0.14/10.42 ssList(sK48_skl)),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/10.42 fof(f421,plain,(
% 0.14/10.42 sK48_skl=sK50_skl),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/10.42 fof(f422,plain,(
% 0.14/10.42 sK47_skl=sK49_skl),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/10.42 fof(f423,plain,(
% 0.14/10.42 ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sK48_skl,X0)|~segmentP(sK47_skl,X0))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/10.42 fof(f424,plain,(
% 0.14/10.42 nil=sK49_skl|~nil=sK50_skl),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/10.42 fof(f425,plain,(
% 0.14/10.42 ~nil=sK48_skl|~nil=sK47_skl),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/10.42 fof(f426,plain,(
% 0.14/10.42 ssList(sK51_skl)|~neq(sK50_skl,nil)),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/10.42 fof(f427,plain,(
% 0.14/10.42 neq(sK51_skl,nil)|~neq(sK50_skl,nil)),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/10.42 fof(f428,plain,(
% 0.14/10.42 segmentP(sK50_skl,sK51_skl)|~neq(sK50_skl,nil)),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/10.42 fof(f429,plain,(
% 0.14/10.42 segmentP(sK49_skl,sK51_skl)|~neq(sK50_skl,nil)),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f416])).
% 0.14/10.42 fof(f477,plain,(
% 0.14/10.42 nil=sK47_skl|~nil=sK50_skl),
% 0.14/10.42 inference(forward_demodulation,[status(thm)],[f422,f424])).
% 0.14/10.42 fof(f478,plain,(
% 0.14/10.42 nil=sK47_skl|~nil=sK48_skl),
% 0.14/10.42 inference(forward_demodulation,[status(thm)],[f421,f477])).
% 0.14/10.42 fof(f479,plain,(
% 0.14/10.42 ~nil=sK48_skl),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f425,f478])).
% 0.14/10.42 fof(f480,plain,(
% 0.14/10.42 ssList(sK51_skl)|~neq(sK48_skl,nil)),
% 0.14/10.42 inference(forward_demodulation,[status(thm)],[f421,f426])).
% 0.14/10.42 fof(f481,plain,(
% 0.14/10.42 ssList(sK51_skl)|~ssList(sK48_skl)|~ssList(nil)|sK48_skl=nil),
% 0.14/10.42 inference(resolution,[status(thm)],[f480,f220])).
% 0.14/10.42 fof(f482,plain,(
% 0.14/10.42 ssList(sK51_skl)|~ssList(nil)|sK48_skl=nil),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f481,f418])).
% 0.14/10.42 fof(f496,plain,(
% 0.14/10.42 neq(sK51_skl,nil)|~neq(sK48_skl,nil)),
% 0.14/10.42 inference(forward_demodulation,[status(thm)],[f421,f427])).
% 0.14/10.42 fof(f497,plain,(
% 0.14/10.42 segmentP(sK48_skl,sK51_skl)|~neq(sK50_skl,nil)),
% 0.14/10.42 inference(forward_demodulation,[status(thm)],[f421,f428])).
% 0.14/10.42 fof(f498,plain,(
% 0.14/10.42 segmentP(sK48_skl,sK51_skl)|~neq(sK48_skl,nil)),
% 0.14/10.42 inference(forward_demodulation,[status(thm)],[f421,f497])).
% 0.14/10.42 fof(f499,plain,(
% 0.14/10.42 segmentP(sK48_skl,sK51_skl)|~ssList(sK48_skl)|~ssList(nil)|sK48_skl=nil),
% 0.14/10.42 inference(resolution,[status(thm)],[f498,f220])).
% 0.14/10.42 fof(f500,plain,(
% 0.14/10.42 segmentP(sK48_skl,sK51_skl)|~ssList(nil)|sK48_skl=nil),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f499,f418])).
% 0.14/10.42 fof(f510,plain,(
% 0.14/10.42 segmentP(sK47_skl,sK51_skl)|~neq(sK50_skl,nil)),
% 0.14/10.42 inference(forward_demodulation,[status(thm)],[f422,f429])).
% 0.14/10.42 fof(f511,plain,(
% 0.14/10.42 segmentP(sK47_skl,sK51_skl)|~neq(sK48_skl,nil)),
% 0.14/10.42 inference(forward_demodulation,[status(thm)],[f421,f510])).
% 0.14/10.42 fof(f512,plain,(
% 0.14/10.42 segmentP(sK47_skl,sK51_skl)|~ssList(sK48_skl)|~ssList(nil)|sK48_skl=nil),
% 0.14/10.42 inference(resolution,[status(thm)],[f511,f220])).
% 0.14/10.42 fof(f513,plain,(
% 0.14/10.42 segmentP(sK47_skl,sK51_skl)|~ssList(nil)|sK48_skl=nil),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f512,f418])).
% 0.14/10.42 fof(f518,plain,(
% 0.14/10.42 ssList(sK51_skl)|sK48_skl=nil),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f482,f223])).
% 0.14/10.42 fof(f523,plain,(
% 0.14/10.42 segmentP(sK48_skl,sK51_skl)|sK48_skl=nil),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f500,f223])).
% 0.14/10.42 fof(f524,plain,(
% 0.14/10.42 sK48_skl=nil|~ssList(sK51_skl)|~neq(sK51_skl,nil)|~segmentP(sK47_skl,sK51_skl)),
% 0.14/10.42 inference(resolution,[status(thm)],[f523,f423])).
% 0.14/10.42 fof(f528,plain,(
% 0.14/10.42 ~ssList(sK51_skl)|~neq(sK51_skl,nil)|~segmentP(sK47_skl,sK51_skl)),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f524,f479])).
% 0.14/10.42 fof(f532,plain,(
% 0.14/10.42 segmentP(sK47_skl,sK51_skl)|sK48_skl=nil),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f513,f223])).
% 0.14/10.42 fof(f541,plain,(
% 0.14/10.42 ~neq(sK51_skl,nil)|~segmentP(sK47_skl,sK51_skl)|sK48_skl=nil),
% 0.14/10.42 inference(resolution,[status(thm)],[f528,f518])).
% 0.14/10.42 fof(f542,plain,(
% 0.14/10.42 ~neq(sK51_skl,nil)|sK48_skl=nil),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f541,f532])).
% 0.14/10.42 fof(f543,plain,(
% 0.14/10.42 ~neq(sK48_skl,nil)),
% 0.14/10.42 inference(backward_subsumption_resolution,[status(thm)],[f496,f544])).
% 0.14/10.42 fof(f544,plain,(
% 0.14/10.42 ~neq(sK51_skl,nil)),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f542,f479])).
% 0.14/10.42 fof(f547,plain,(
% 0.14/10.42 ~ssList(sK48_skl)|~ssList(nil)|sK48_skl=nil),
% 0.14/10.42 inference(resolution,[status(thm)],[f543,f220])).
% 0.14/10.42 fof(f548,plain,(
% 0.14/10.42 ~ssList(nil)|sK48_skl=nil),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f547,f418])).
% 0.14/10.42 fof(f607,plain,(
% 0.14/10.42 ~sK48_skl=sK48_skl),
% 0.14/10.42 inference(backward_demodulation,[status(thm)],[f615,f479])).
% 0.14/10.42 fof(f615,plain,(
% 0.14/10.42 sK48_skl=nil),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f548,f223])).
% 0.14/10.42 fof(f619,plain,(
% 0.14/10.42 $false),
% 0.14/10.42 inference(trivial_equality_resolution,[status(thm)],[f607])).
% 0.14/10.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.45 % Elapsed time: 0.059237 seconds
% 0.14/10.45 % CPU time: 0.178194 seconds
% 0.14/10.45 % Total memory used: 76.783 MB
% 0.14/10.45 % Net memory used: 76.620 MB
%------------------------------------------------------------------------------