%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC210+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 : n004.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 02:41:52 PM UTC 2026
% Result : Theorem 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC210+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
% 0.11/0.36 % Computer : n004.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 08:04:35 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f15,axiom,(
% 0.11/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f17,axiom,(
% 0.11/0.41 ssList(nil) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f39,axiom,(
% 0.11/0.41 ~ singletonP(nil) ),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f96,conjecture,(
% 0.11/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| ~ singletonP(W)| neq(U,nil) )& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 0.11/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f97,negated_conjecture,(
% 0.11/0.41 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| ~ singletonP(W)| neq(U,nil) )& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 0.11/0.41 inference(negated_conjecture,[status(cth)],[f96])).
% 0.11/0.41 fof(f217,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.11/0.41 fof(f218,plain,(
% 0.11/0.41 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f217])).
% 0.11/0.41 fof(f220,plain,(
% 0.11/0.41 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f218])).
% 0.11/0.41 fof(f223,plain,(
% 0.11/0.41 ssList(nil)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.41 fof(f280,plain,(
% 0.11/0.41 ~singletonP(nil)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.11/0.41 fof(f415,plain,(
% 0.11/0.41 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&singletonP(W))&~neq(U,nil))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 0.11/0.41 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.11/0.41 fof(f416,definition,(
% 0.11/0.41 ![U,V,W]: (sP0_prd(W,V,U)<=>((neq(V,nil)&singletonP(W))&~neq(U,nil)))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.11/0.41 fof(f417,plain,(
% 0.11/0.41 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(sP0_prd(W,V,U)|(neq(V,nil)&~neq(X,nil)))))))))))),
% 0.11/0.41 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.11/0.41 fof(f418,plain,(
% 0.11/0.41 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(sP0_prd(sK49_skl,sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&~neq(sK50_skl,nil))))))))),
% 0.11/0.41 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)],[f417])).
% 0.11/0.41 fof(f419,plain,(
% 0.11/0.41 ssList(sK47_skl)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f418])).
% 0.11/0.41 fof(f423,plain,(
% 0.11/0.41 sK48_skl=sK50_skl),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f418])).
% 0.11/0.41 fof(f424,plain,(
% 0.11/0.41 sK47_skl=sK49_skl),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f418])).
% 0.11/0.41 fof(f425,plain,(
% 0.11/0.41 sP0_prd(sK49_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f418])).
% 0.11/0.41 fof(f426,plain,(
% 0.11/0.41 sP0_prd(sK49_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f418])).
% 0.11/0.41 fof(f427,plain,(
% 0.11/0.41 ![U,V,W]: ((~sP0_prd(W,V,U)|((neq(V,nil)&singletonP(W))&~neq(U,nil)))&(sP0_prd(W,V,U)|((~neq(V,nil)|~singletonP(W))|neq(U,nil))))),
% 0.11/0.41 inference(NNF_transformation,[status(thm)],[f416])).
% 0.11/0.41 fof(f428,plain,(
% 0.11/0.41 (![U,V,W]: (~sP0_prd(W,V,U)|((neq(V,nil)&singletonP(W))&~neq(U,nil))))&(![U,V,W]: (sP0_prd(W,V,U)|((~neq(V,nil)|~singletonP(W))|neq(U,nil))))),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f427])).
% 0.11/0.41 fof(f430,plain,(
% 0.11/0.41 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|singletonP(X0))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f428])).
% 0.11/0.41 fof(f431,plain,(
% 0.11/0.41 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|~neq(X2,nil))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f428])).
% 0.11/0.41 fof(f476,plain,(
% 0.11/0.41 sP0_prd(sK47_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f424,f425])).
% 0.11/0.41 fof(f477,plain,(
% 0.11/0.41 sP0_prd(sK47_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f424,f426])).
% 0.11/0.41 fof(f478,plain,(
% 0.11/0.41 sP0_prd(sK47_skl,sK48_skl,sK47_skl)|~neq(sK48_skl,nil)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f423,f477])).
% 0.11/0.41 fof(f479,plain,(
% 0.11/0.41 sP0_prd(sK47_skl,sK48_skl,sK47_skl)),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f478,f476])).
% 0.11/0.41 fof(f481,plain,(
% 0.11/0.41 singletonP(sK47_skl)),
% 0.11/0.41 inference(resolution,[status(thm)],[f430,f479])).
% 0.11/0.41 fof(f482,plain,(
% 0.11/0.41 ~neq(sK47_skl,nil)),
% 0.11/0.41 inference(resolution,[status(thm)],[f431,f479])).
% 0.11/0.41 fof(f487,plain,(
% 0.11/0.41 ~ssList(sK47_skl)|~ssList(nil)|sK47_skl=nil),
% 0.11/0.41 inference(resolution,[status(thm)],[f482,f220])).
% 0.11/0.41 fof(f488,plain,(
% 0.11/0.41 ~ssList(nil)|sK47_skl=nil),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f487,f419])).
% 0.11/0.41 fof(f541,plain,(
% 0.11/0.41 ~singletonP(sK47_skl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f543,f280])).
% 0.11/0.41 fof(f543,plain,(
% 0.11/0.41 sK47_skl=nil),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f488,f223])).
% 0.11/0.41 fof(f553,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f541,f481])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44 % Elapsed time: 0.069039 seconds
% 0.11/0.44 % CPU time: 0.170136 seconds
% 0.11/0.44 % Total memory used: 110.403 MB
% 0.11/0.44 % Net memory used: 110.242 MB
%------------------------------------------------------------------------------