%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC129+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 : n010.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 02:41:40 PM UTC 2026
% Result : Theorem 0.22s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC129+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n010.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 07:58:10 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 0.22/0.52 % Refutation found
% 0.22/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.52 fof(f15,axiom,(
% 0.22/0.52 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.22/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.52 fof(f17,axiom,(
% 0.22/0.52 ssList(nil) ),
% 0.22/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.52 fof(f60,axiom,(
% 0.22/0.52 cyclefreeP(nil) ),
% 0.22/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.52 fof(f96,conjecture,(
% 0.22/0.52 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| neq(X,nil)| cyclefreeP(V) ) ) )) )) )) )),
% 0.22/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.52 fof(f97,negated_conjecture,(
% 0.22/0.52 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| neq(X,nil)| cyclefreeP(V) ) ) )) )) )) ))),
% 0.22/0.52 inference(negated_conjecture,[status(cth)],[f96])).
% 0.22/0.52 fof(f217,plain,(
% 0.22/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.22/0.52 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.22/0.52 fof(f218,plain,(
% 0.22/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.22/0.52 inference(NNF_transformation,[status(thm)],[f217])).
% 0.22/0.52 fof(f220,plain,(
% 0.22/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.22/0.52 inference(cnf_transformation,[status(thm)],[f218])).
% 0.22/0.52 fof(f223,plain,(
% 0.22/0.52 ssList(nil)),
% 0.22/0.52 inference(cnf_transformation,[status(thm)],[f17])).
% 0.22/0.52 fof(f330,plain,(
% 0.22/0.52 cyclefreeP(nil)),
% 0.22/0.52 inference(cnf_transformation,[status(thm)],[f60])).
% 0.22/0.52 fof(f415,plain,(
% 0.22/0.52 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&~neq(X,nil))&~cyclefreeP(V))))))))))),
% 0.22/0.52 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.22/0.52 fof(f416,plain,(
% 0.22/0.52 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&~neq(sK50_skl,nil))&~cyclefreeP(sK48_skl))))))),
% 0.22/0.52 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])).
% 0.22/0.52 fof(f418,plain,(
% 0.22/0.52 ssList(sK48_skl)),
% 0.22/0.52 inference(cnf_transformation,[status(thm)],[f416])).
% 0.22/0.52 fof(f421,plain,(
% 0.22/0.52 sK48_skl=sK50_skl),
% 0.22/0.52 inference(cnf_transformation,[status(thm)],[f416])).
% 0.22/0.52 fof(f423,plain,(
% 0.22/0.52 ~neq(sK50_skl,nil)),
% 0.22/0.52 inference(cnf_transformation,[status(thm)],[f416])).
% 0.22/0.52 fof(f424,plain,(
% 0.22/0.52 ~cyclefreeP(sK48_skl)),
% 0.22/0.52 inference(cnf_transformation,[status(thm)],[f416])).
% 0.22/0.52 fof(f461,plain,(
% 0.22/0.52 ~neq(sK48_skl,nil)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f421,f423])).
% 0.22/0.52 fof(f462,plain,(
% 0.22/0.52 ~ssList(sK48_skl)|~ssList(nil)|sK48_skl=nil),
% 0.22/0.52 inference(resolution,[status(thm)],[f220,f461])).
% 0.22/0.52 fof(f464,plain,(
% 0.22/0.52 ~ssList(nil)|sK48_skl=nil),
% 0.22/0.52 inference(forward_subsumption_resolution,[status(thm)],[f462,f418])).
% 0.22/0.52 fof(f476,plain,(
% 0.22/0.52 cyclefreeP(sK48_skl)),
% 0.22/0.52 inference(backward_demodulation,[status(thm)],[f478,f330])).
% 0.22/0.52 fof(f478,plain,(
% 0.22/0.52 sK48_skl=nil),
% 0.22/0.52 inference(forward_subsumption_resolution,[status(thm)],[f464,f223])).
% 0.22/0.52 fof(f480,plain,(
% 0.22/0.52 $false),
% 0.22/0.52 inference(forward_subsumption_resolution,[status(thm)],[f476,f424])).
% 0.22/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.61 % Elapsed time: 0.140961 seconds
% 0.22/0.61 % CPU time: 0.132882 seconds
% 0.22/0.61 % Total memory used: 13.883 MB
% 0.22/0.61 % Net memory used: 13.866 MB
%------------------------------------------------------------------------------