%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC026+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 : n013.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 02:41:22 PM UTC 2026
% Result : Theorem 0.14s 5.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC026+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
% 0.09/5.57 % Computer : n013.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Mon Sep 21 07:49:48 UTC 2026
% 0.09/5.57 % CPUTime :
% 0.09/5.59 % Drodi V4.1.1
% 0.14/5.61 % Refutation found
% 0.14/5.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.61 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.61 fof(f96,conjecture,(
% 0.14/5.61 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( nil != X& nil = W )| ( nil != W& nil = X )| ( ( nil != V| nil = U )& ( nil != U| nil = V ) ) ) ) )) )) )) )),
% 0.14/5.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.61 fof(f97,negated_conjecture,(
% 0.14/5.61 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( nil != X& nil = W )| ( nil != W& nil = X )| ( ( nil != V| nil = U )& ( nil != U| nil = V ) ) ) ) )) )) )) ))),
% 0.14/5.61 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/5.61 fof(f415,plain,(
% 0.14/5.61 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(nil=X|~nil=W))&(nil=W|~nil=X))&((nil=V&~nil=U)|(nil=U&~nil=V)))))))))))),
% 0.14/5.61 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/5.61 fof(f416,definition,(
% 0.14/5.61 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 0.14/5.61 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/5.61 fof(f417,plain,(
% 0.14/5.61 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(nil=X|~nil=W))&(nil=W|~nil=X))&(sP0_prd(V,U)|(nil=U&~nil=V))))))))))),
% 0.14/5.61 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.14/5.61 fof(f418,plain,(
% 0.14/5.61 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(nil=sK50_skl|~nil=sK49_skl))&(nil=sK49_skl|~nil=sK50_skl))&(sP0_prd(sK48_skl,sK47_skl)|(nil=sK47_skl&~nil=sK48_skl)))))))),
% 0.14/5.61 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])).
% 0.14/5.61 fof(f423,plain,(
% 0.14/5.61 sK48_skl=sK50_skl),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/5.61 fof(f424,plain,(
% 0.14/5.61 sK47_skl=sK49_skl),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/5.61 fof(f425,plain,(
% 0.14/5.61 nil=sK50_skl|~nil=sK49_skl),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/5.61 fof(f426,plain,(
% 0.14/5.61 nil=sK49_skl|~nil=sK50_skl),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/5.61 fof(f427,plain,(
% 0.14/5.61 sP0_prd(sK48_skl,sK47_skl)|nil=sK47_skl),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/5.61 fof(f428,plain,(
% 0.14/5.61 sP0_prd(sK48_skl,sK47_skl)|~nil=sK48_skl),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/5.61 fof(f429,plain,(
% 0.14/5.61 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.14/5.61 inference(NNF_transformation,[status(thm)],[f416])).
% 0.14/5.61 fof(f430,plain,(
% 0.14/5.61 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.14/5.61 inference(miniscoping,[status(thm)],[f429])).
% 0.14/5.61 fof(f431,plain,(
% 0.14/5.61 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f430])).
% 0.14/5.61 fof(f432,plain,(
% 0.14/5.61 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 0.14/5.61 inference(cnf_transformation,[status(thm)],[f430])).
% 0.14/5.61 fof(f464,plain,(
% 0.14/5.61 ![X0]: (~sP0_prd(X0,nil))),
% 0.14/5.61 inference(destructive_equality_resolution,[status(thm)],[f432])).
% 0.14/5.61 fof(f468,plain,(
% 0.14/5.61 nil=sK48_skl|~nil=sK49_skl),
% 0.14/5.61 inference(forward_demodulation,[status(thm)],[f423,f425])).
% 0.14/5.61 fof(f469,plain,(
% 0.14/5.61 nil=sK48_skl|~nil=sK47_skl),
% 0.14/5.61 inference(forward_demodulation,[status(thm)],[f424,f468])).
% 0.14/5.61 fof(f470,plain,(
% 0.14/5.61 nil=sK47_skl|~nil=sK50_skl),
% 0.14/5.61 inference(forward_demodulation,[status(thm)],[f424,f426])).
% 0.14/5.61 fof(f471,plain,(
% 0.14/5.61 nil=sK47_skl|~nil=sK48_skl),
% 0.14/5.61 inference(forward_demodulation,[status(thm)],[f423,f470])).
% 0.14/5.61 fof(f474,plain,(
% 0.14/5.61 nil=sK48_skl|nil=sK47_skl),
% 0.14/5.61 inference(resolution,[status(thm)],[f431,f427])).
% 0.14/5.61 fof(f475,plain,(
% 0.14/5.61 nil=sK47_skl),
% 0.14/5.61 inference(forward_subsumption_resolution,[status(thm)],[f474,f471])).
% 0.14/5.61 fof(f477,plain,(
% 0.14/5.61 sP0_prd(sK48_skl,sK47_skl)|~sK47_skl=sK48_skl),
% 0.14/5.61 inference(backward_demodulation,[status(thm)],[f475,f428])).
% 0.14/5.61 fof(f479,plain,(
% 0.14/5.61 ![X0]: (~sP0_prd(X0,sK47_skl))),
% 0.14/5.61 inference(backward_demodulation,[status(thm)],[f475,f464])).
% 0.14/5.61 fof(f481,plain,(
% 0.14/5.61 nil=sK48_skl|~sK47_skl=sK47_skl),
% 0.14/5.61 inference(backward_demodulation,[status(thm)],[f475,f469])).
% 0.14/5.61 fof(f483,plain,(
% 0.14/5.61 sK47_skl=sK48_skl|~sK47_skl=sK47_skl),
% 0.14/5.61 inference(forward_demodulation,[status(thm)],[f475,f481])).
% 0.14/5.61 fof(f484,plain,(
% 0.14/5.61 sK47_skl=sK48_skl),
% 0.14/5.61 inference(trivial_equality_resolution,[status(thm)],[f483])).
% 0.14/5.61 fof(f489,plain,(
% 0.14/5.61 ~sK47_skl=sK48_skl),
% 0.14/5.61 inference(backward_subsumption_resolution,[status(thm)],[f477,f479])).
% 0.14/5.61 fof(f499,plain,(
% 0.14/5.61 ~sK47_skl=sK47_skl),
% 0.14/5.61 inference(forward_demodulation,[status(thm)],[f484,f489])).
% 0.14/5.61 fof(f500,plain,(
% 0.14/5.61 $false),
% 0.14/5.61 inference(trivial_equality_resolution,[status(thm)],[f499])).
% 0.14/5.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.63 % Elapsed time: 0.048928 seconds
% 0.14/5.63 % CPU time: 0.128433 seconds
% 0.14/5.63 % Total memory used: 45.028 MB
% 0.14/5.63 % Net memory used: 44.966 MB
%------------------------------------------------------------------------------