%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC276+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 : n016.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 02:42:02 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC276+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34 % Computer : n016.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Mon Sep 21 08:15:54 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f65,axiom,(
% 0.12/0.38 (! [U] :( ssItem(U)=> totalorderedP(cons(U,nil)) ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f66,axiom,(
% 0.12/0.38 totalorderedP(nil) ),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f96,conjecture,(
% 0.12/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| totalorderedP(U)| ( (! [Y] :( ssItem(Y)=> ( cons(Y,nil) != W| ~ memberP(X,Y) ) ))& ( nil != X| nil != W ) ) ) ) )) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f97,negated_conjecture,(
% 0.12/0.38 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| totalorderedP(U)| ( (! [Y] :( ssItem(Y)=> ( cons(Y,nil) != W| ~ memberP(X,Y) ) ))& ( nil != X| nil != W ) ) ) ) )) )) )) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f96])).
% 0.12/0.38 fof(f337,plain,(
% 0.12/0.38 ![U]: (~ssItem(U)|totalorderedP(cons(U,nil)))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 0.12/0.38 fof(f338,plain,(
% 0.12/0.38 ![X0]: (~ssItem(X0)|totalorderedP(cons(X0,nil)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f337])).
% 0.12/0.38 fof(f339,plain,(
% 0.12/0.38 totalorderedP(nil)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f66])).
% 0.12/0.38 fof(f415,plain,(
% 0.12/0.38 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&~totalorderedP(U))&((?[Y]: (ssItem(Y)&(cons(Y,nil)=W&memberP(X,Y))))|(nil=X&nil=W)))))))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.12/0.38 fof(f416,definition,(
% 0.12/0.38 ![W,X,Y]: (sP0_prd(Y,X,W)<=>(ssItem(Y)&(cons(Y,nil)=W&memberP(X,Y))))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.12/0.38 fof(f417,plain,(
% 0.12/0.38 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&~totalorderedP(U))&((?[Y]: sP0_prd(Y,X,W))|(nil=X&nil=W))))))))))),
% 0.12/0.38 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.12/0.38 fof(f418,plain,(
% 0.12/0.38 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&~totalorderedP(sK47_skl))&(sP0_prd(sK51_skl,sK50_skl,sK49_skl)|(nil=sK50_skl&nil=sK49_skl)))))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl)],[f417])).
% 0.12/0.38 fof(f424,plain,(
% 0.12/0.38 sK47_skl=sK49_skl),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f418])).
% 0.12/0.38 fof(f425,plain,(
% 0.12/0.38 ~totalorderedP(sK47_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f418])).
% 0.12/0.38 fof(f426,plain,(
% 0.12/0.38 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK50_skl),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f418])).
% 0.12/0.38 fof(f427,plain,(
% 0.12/0.38 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK49_skl),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f418])).
% 0.12/0.38 fof(f428,plain,(
% 0.12/0.38 ![W,X,Y]: ((~sP0_prd(Y,X,W)|(ssItem(Y)&(cons(Y,nil)=W&memberP(X,Y))))&(sP0_prd(Y,X,W)|(~ssItem(Y)|(~cons(Y,nil)=W|~memberP(X,Y)))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f416])).
% 0.12/0.39 fof(f429,plain,(
% 0.12/0.39 (![W,X,Y]: (~sP0_prd(Y,X,W)|(ssItem(Y)&(cons(Y,nil)=W&memberP(X,Y)))))&(![W,X,Y]: (sP0_prd(Y,X,W)|(~ssItem(Y)|(~cons(Y,nil)=W|~memberP(X,Y)))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f428])).
% 0.12/0.39 fof(f430,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssItem(X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f429])).
% 0.12/0.39 fof(f431,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|cons(X0,nil)=X2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f429])).
% 0.12/0.39 fof(f434,definition,(
% 0.12/0.39 sQ0_spl <=> (sP0_prd(sK51_skl,sK50_skl,sK49_skl))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f435,plain,(
% 0.12/0.39 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|~sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f434])).
% 0.12/0.39 fof(f437,definition,(
% 0.12/0.39 sQ1_spl <=> (nil=sK50_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f438,plain,(
% 0.12/0.39 nil=sK50_skl|~sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f437])).
% 0.12/0.39 fof(f440,plain,(
% 0.12/0.39 sQ0_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f426,f434,f437])).
% 0.12/0.39 fof(f441,definition,(
% 0.12/0.39 sQ2_spl <=> (nil=sK49_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f442,plain,(
% 0.12/0.39 nil=sK49_skl|~sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f441])).
% 0.12/0.39 fof(f444,plain,(
% 0.12/0.39 sQ0_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f427,f434,f441])).
% 0.12/0.39 fof(f478,plain,(
% 0.12/0.39 ~totalorderedP(sK49_skl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f424,f425])).
% 0.12/0.39 fof(f479,plain,(
% 0.12/0.39 ssItem(sK51_skl)|~sQ0_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f435,f430])).
% 0.12/0.39 fof(f481,plain,(
% 0.12/0.39 totalorderedP(cons(sK51_skl,nil))|~sQ0_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f338,f479])).
% 0.12/0.39 fof(f515,plain,(
% 0.12/0.39 totalorderedP(sK50_skl)|~sQ1_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f438,f339])).
% 0.12/0.39 fof(f517,plain,(
% 0.12/0.39 ~totalorderedP(sK50_skl)|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f520,f478])).
% 0.12/0.39 fof(f520,plain,(
% 0.12/0.39 sK50_skl=sK49_skl|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f438,f442])).
% 0.12/0.39 fof(f522,plain,(
% 0.12/0.39 $false|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f517,f515])).
% 0.12/0.39 fof(f523,plain,(
% 0.12/0.39 ~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f522])).
% 0.12/0.39 fof(f734,plain,(
% 0.12/0.39 cons(sK51_skl,nil)=sK49_skl|~sQ0_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f431,f435])).
% 0.12/0.39 fof(f750,plain,(
% 0.12/0.39 totalorderedP(sK49_skl)|~sQ0_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f734,f481])).
% 0.12/0.39 fof(f752,plain,(
% 0.12/0.39 $false|~sQ0_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f750,f478])).
% 0.12/0.39 fof(f753,plain,(
% 0.12/0.39 ~sQ0_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f752])).
% 0.12/0.39 fof(f754,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f440,f444,f523,f753])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.069302 seconds
% 0.12/0.42 % CPU time: 0.183047 seconds
% 0.12/0.42 % Total memory used: 110.564 MB
% 0.12/0.42 % Net memory used: 110.408 MB
%------------------------------------------------------------------------------