%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC130+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 : n015.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 0.19s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC130+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n015.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 08:00:50 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.50 % Drodi V4.1.1
% 0.19/0.52 % Refutation found
% 0.19/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.52 fof(f15,axiom,(
% 0.19/0.52 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f17,axiom,(
% 0.19/0.52 ssList(nil) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f60,axiom,(
% 0.19/0.52 cyclefreeP(nil) ),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f96,conjecture,(
% 0.19/0.52 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| neq(X,nil)| cyclefreeP(V) ) ) )) )) )) )),
% 0.19/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.52 fof(f97,negated_conjecture,(
% 0.19/0.52 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| neq(X,nil)| cyclefreeP(V) ) ) )) )) )) ))),
% 0.19/0.52 inference(negated_conjecture,[status(cth)],[f96])).
% 0.19/0.52 fof(f217,plain,(
% 0.19/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.19/0.52 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.19/0.52 fof(f218,plain,(
% 0.19/0.52 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.19/0.52 inference(NNF_transformation,[status(thm)],[f217])).
% 0.19/0.52 fof(f220,plain,(
% 0.19/0.52 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f218])).
% 0.19/0.52 fof(f223,plain,(
% 0.19/0.52 ssList(nil)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f17])).
% 0.19/0.52 fof(f330,plain,(
% 0.19/0.52 cyclefreeP(nil)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f60])).
% 0.19/0.52 fof(f415,plain,(
% 0.19/0.52 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&~neq(X,nil))&~cyclefreeP(V))))))))))),
% 0.19/0.52 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.19/0.52 fof(f416,plain,(
% 0.19/0.52 (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))))))),
% 0.19/0.52 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])).
% 0.19/0.52 fof(f420,plain,(
% 0.19/0.52 ssList(sK50_skl)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f416])).
% 0.19/0.52 fof(f421,plain,(
% 0.19/0.52 sK48_skl=sK50_skl),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f416])).
% 0.19/0.52 fof(f423,plain,(
% 0.19/0.52 ~neq(sK50_skl,nil)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f416])).
% 0.19/0.52 fof(f424,plain,(
% 0.19/0.52 ~cyclefreeP(sK48_skl)),
% 0.19/0.52 inference(cnf_transformation,[status(thm)],[f416])).
% 0.19/0.52 fof(f457,plain,(
% 0.19/0.52 ~cyclefreeP(sK50_skl)),
% 0.19/0.52 inference(forward_demodulation,[status(thm)],[f421,f424])).
% 0.19/0.52 fof(f459,plain,(
% 0.19/0.52 ![X0]: (~ssList(X0)|neq(sK50_skl,X0)|sK50_skl=X0)),
% 0.19/0.52 inference(resolution,[status(thm)],[f220,f420])).
% 0.19/0.52 fof(f474,definition,(
% 0.19/0.52 sQ3_spl <=> (nil=sK50_skl)),
% 0.19/0.52 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.19/0.52 fof(f475,plain,(
% 0.19/0.52 nil=sK50_skl|~sQ3_spl),
% 0.19/0.52 inference(component_clause,[status(thm)],[f474])).
% 0.19/0.52 fof(f495,plain,(
% 0.19/0.52 neq(sK50_skl,nil)|sK50_skl=nil),
% 0.19/0.52 inference(resolution,[status(thm)],[f459,f223])).
% 0.19/0.52 fof(f498,definition,(
% 0.19/0.52 sQ6_spl <=> (neq(sK50_skl,nil))),
% 0.19/0.52 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.19/0.52 fof(f499,plain,(
% 0.19/0.52 neq(sK50_skl,nil)|~sQ6_spl),
% 0.19/0.52 inference(component_clause,[status(thm)],[f498])).
% 0.19/0.52 fof(f501,plain,(
% 0.19/0.52 sQ6_spl|sQ3_spl),
% 0.19/0.52 inference(split_clause,[status(thm)],[f495,f498,f474])).
% 0.19/0.52 fof(f529,plain,(
% 0.19/0.52 cyclefreeP(sK50_skl)|~sQ3_spl),
% 0.19/0.52 inference(backward_demodulation,[status(thm)],[f475,f330])).
% 0.19/0.52 fof(f533,plain,(
% 0.19/0.52 $false|~sQ3_spl),
% 0.19/0.52 inference(forward_subsumption_resolution,[status(thm)],[f529,f457])).
% 0.19/0.52 fof(f534,plain,(
% 0.19/0.52 ~sQ3_spl),
% 0.19/0.52 inference(contradiction_clause,[status(thm)],[f533])).
% 0.19/0.52 fof(f542,plain,(
% 0.19/0.52 $false|~sQ6_spl),
% 0.19/0.52 inference(forward_subsumption_resolution,[status(thm)],[f499,f423])).
% 0.19/0.52 fof(f543,plain,(
% 0.19/0.52 ~sQ6_spl),
% 0.19/0.52 inference(contradiction_clause,[status(thm)],[f542])).
% 0.19/0.52 fof(f544,plain,(
% 0.19/0.52 $false),
% 0.19/0.52 inference(sat_refutation,[status(thm)],[f501,f534,f543])).
% 0.19/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.56 % Elapsed time: 0.093317 seconds
% 0.26/0.56 % CPU time: 0.129262 seconds
% 0.26/0.56 % Total memory used: 24.220 MB
% 0.26/0.56 % Net memory used: 24.189 MB
%------------------------------------------------------------------------------