%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC189+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 : n005.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 02:41:49 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC189+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
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 08:02:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f96,conjecture,(
% 0.13/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& (? [X2] :( ssList(X2)& Y != Z& app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2) = W ) )) )) )))| (! [X3] :( ssItem(X3)=> (! [X4] :( ssItem(X4)=> (! [X5] :( ssList(X5)=> (! [X6] :( ssList(X6)=> ( app(app(app(X5,cons(X3,nil)),cons(X4,nil)),X6) != U| X3 = X4 ) ) )) )) )) )) ) )) )) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f97,negated_conjecture,(
% 0.13/0.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& (? [X2] :( ssList(X2)& Y != Z& app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2) = W ) )) )) )))| (! [X3] :( ssItem(X3)=> (! [X4] :( ssItem(X4)=> (! [X5] :( ssList(X5)=> (! [X6] :( ssList(X6)=> ( app(app(app(X5,cons(X3,nil)),cons(X4,nil)),X6) != U| X3 = X4 ) ) )) )) )) )) ) )) )) )) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.40 fof(f415,plain,(
% 0.13/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: (~ssList(X1)|(![X2]: ((~ssList(X2)|Y=Z)|~app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2)=W)))))))))&(?[X3]: (ssItem(X3)&(?[X4]: (ssItem(X4)&(?[X5]: (ssList(X5)&(?[X6]: (ssList(X6)&(app(app(app(X5,cons(X3,nil)),cons(X4,nil)),X6)=U&~X3=X4))))))))))))))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.13/0.40 fof(f416,plain,(
% 0.13/0.40 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(![Y]: (~ssItem(Y)|(![Z]: (~ssItem(Z)|(![X1]: (~ssList(X1)|(![X2]: ((~ssList(X2)|Y=Z)|~app(app(app(X1,cons(Y,nil)),cons(Z,nil)),X2)=sK49_skl)))))))))&(ssItem(sK51_skl)&(ssItem(sK52_skl)&(ssList(sK53_skl)&(ssList(sK54_skl)&(app(app(app(sK53_skl,cons(sK51_skl,nil)),cons(sK52_skl,nil)),sK54_skl)=sK47_skl&~sK51_skl=sK52_skl))))))))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl,sK53_skl,sK54_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(X3,sK51_skl),skolemize(X4,sK52_skl),skolemize(X5,sK53_skl),skolemize(X6,sK54_skl)],[f415])).
% 0.13/0.40 fof(f422,plain,(
% 0.13/0.40 sK47_skl=sK49_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f423,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|X0=X1|~app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3)=sK49_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f424,plain,(
% 0.13/0.40 ssItem(sK51_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f425,plain,(
% 0.13/0.40 ssItem(sK52_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f426,plain,(
% 0.13/0.40 ssList(sK53_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f427,plain,(
% 0.13/0.40 ssList(sK54_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f428,plain,(
% 0.13/0.40 app(app(app(sK53_skl,cons(sK51_skl,nil)),cons(sK52_skl,nil)),sK54_skl)=sK47_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f429,plain,(
% 0.13/0.40 ~sK51_skl=sK52_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f474,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssItem(X1)|~ssList(X2)|~ssList(X3)|X0=X1|~app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3)=sK47_skl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f422,f423])).
% 0.13/0.40 fof(f491,plain,(
% 0.13/0.40 ~ssItem(sK51_skl)|~ssItem(sK52_skl)|~ssList(sK53_skl)|~ssList(sK54_skl)|sK51_skl=sK52_skl),
% 0.13/0.40 inference(resolution,[status(thm)],[f428,f474])).
% 0.13/0.40 fof(f493,definition,(
% 0.13/0.40 sQ0_spl <=> (ssItem(sK51_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f495,plain,(
% 0.13/0.40 ~ssItem(sK51_skl)|sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f493])).
% 0.13/0.40 fof(f496,definition,(
% 0.13/0.40 sQ1_spl <=> (ssItem(sK52_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f498,plain,(
% 0.13/0.40 ~ssItem(sK52_skl)|sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f496])).
% 0.13/0.40 fof(f499,definition,(
% 0.13/0.40 sQ2_spl <=> (ssList(sK53_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f501,plain,(
% 0.13/0.40 ~ssList(sK53_skl)|sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f499])).
% 0.13/0.40 fof(f502,definition,(
% 0.13/0.40 sQ3_spl <=> (ssList(sK54_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f504,plain,(
% 0.13/0.40 ~ssList(sK54_skl)|sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f502])).
% 0.13/0.40 fof(f505,definition,(
% 0.13/0.40 sQ4_spl <=> (sK51_skl=sK52_skl)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f506,plain,(
% 0.13/0.40 sK51_skl=sK52_skl|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f505])).
% 0.13/0.40 fof(f508,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f491,f493,f496,f499,f502,f505])).
% 0.13/0.40 fof(f513,plain,(
% 0.13/0.40 $false|~sQ4_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f506,f429])).
% 0.13/0.40 fof(f514,plain,(
% 0.13/0.40 ~sQ4_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f513])).
% 0.13/0.40 fof(f515,plain,(
% 0.13/0.40 $false|sQ3_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f504,f427])).
% 0.13/0.40 fof(f516,plain,(
% 0.13/0.40 sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f515])).
% 0.13/0.40 fof(f517,plain,(
% 0.13/0.40 $false|sQ2_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f501,f426])).
% 0.13/0.40 fof(f518,plain,(
% 0.13/0.40 sQ2_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f517])).
% 0.13/0.40 fof(f519,plain,(
% 0.13/0.40 $false|sQ0_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f495,f424])).
% 0.13/0.40 fof(f520,plain,(
% 0.13/0.40 sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f519])).
% 0.13/0.40 fof(f521,plain,(
% 0.13/0.40 $false|sQ1_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f498,f425])).
% 0.13/0.40 fof(f522,plain,(
% 0.13/0.40 sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f521])).
% 0.13/0.40 fof(f523,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f508,f514,f516,f518,f520,f522])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.059378 seconds
% 0.13/0.43 % CPU time: 0.178070 seconds
% 0.13/0.43 % Total memory used: 100.517 MB
% 0.13/0.43 % Net memory used: 100.353 MB
%------------------------------------------------------------------------------