%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC038+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 02:41:24 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC038+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
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 07:50:36 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f46,axiom,(
% 0.19/0.49 (! [U] :( ssList(U)=> ( frontsegP(nil,U)<=> nil = U ) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f96,conjecture,(
% 0.19/0.49 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != V| V != X| U != W| nil = U| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f97,negated_conjecture,(
% 0.19/0.49 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != V| V != X| U != W| nil = U| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.19/0.49 inference(negated_conjecture,[status(cth)],[f96])).
% 0.19/0.49 fof(f296,plain,(
% 0.19/0.49 ![U]: (~ssList(U)|(frontsegP(nil,U)<=>nil=U))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.19/0.49 fof(f297,plain,(
% 0.19/0.49 ![U]: (~ssList(U)|((~frontsegP(nil,U)|nil=U)&(frontsegP(nil,U)|~nil=U)))),
% 0.19/0.49 inference(NNF_transformation,[status(thm)],[f296])).
% 0.19/0.49 fof(f298,plain,(
% 0.19/0.49 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|nil=X0)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f297])).
% 0.19/0.49 fof(f415,plain,(
% 0.19/0.49 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((nil=V&V=X)&U=W)&~nil=U)&((nil=X&nil=W)|(neq(W,nil)&frontsegP(X,W))))))))))))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.19/0.49 fof(f416,definition,(
% 0.19/0.49 ![W,X]: (sP0_prd(X,W)<=>(nil=X&nil=W))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.19/0.49 fof(f417,plain,(
% 0.19/0.49 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((nil=V&V=X)&U=W)&~nil=U)&(sP0_prd(X,W)|(neq(W,nil)&frontsegP(X,W)))))))))))),
% 0.19/0.49 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.19/0.49 fof(f418,plain,(
% 0.19/0.49 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((nil=sK48_skl&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&~nil=sK47_skl)&(sP0_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&frontsegP(sK50_skl,sK49_skl))))))))),
% 0.19/0.49 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])).
% 0.19/0.49 fof(f421,plain,(
% 0.19/0.49 ssList(sK49_skl)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.19/0.49 fof(f423,plain,(
% 0.19/0.49 nil=sK48_skl),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.19/0.49 fof(f424,plain,(
% 0.19/0.49 sK48_skl=sK50_skl),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.19/0.49 fof(f425,plain,(
% 0.19/0.49 sK47_skl=sK49_skl),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.19/0.49 fof(f426,plain,(
% 0.19/0.49 ~nil=sK47_skl),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.19/0.49 fof(f428,plain,(
% 0.19/0.49 sP0_prd(sK50_skl,sK49_skl)|frontsegP(sK50_skl,sK49_skl)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.19/0.49 fof(f429,plain,(
% 0.19/0.49 ![W,X]: ((~sP0_prd(X,W)|(nil=X&nil=W))&(sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.19/0.49 inference(NNF_transformation,[status(thm)],[f416])).
% 0.19/0.49 fof(f430,plain,(
% 0.19/0.49 (![W,X]: (~sP0_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.19/0.49 inference(miniscoping,[status(thm)],[f429])).
% 0.19/0.49 fof(f432,plain,(
% 0.19/0.49 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X1)),
% 0.19/0.49 inference(cnf_transformation,[status(thm)],[f430])).
% 0.19/0.49 fof(f434,definition,(
% 0.19/0.49 sQ0_spl <=> (sP0_prd(sK50_skl,sK49_skl))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f435,plain,(
% 0.19/0.49 sP0_prd(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.19/0.49 inference(component_clause,[status(thm)],[f434])).
% 0.19/0.49 fof(f441,definition,(
% 0.19/0.49 sQ2_spl <=> (frontsegP(sK50_skl,sK49_skl))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f442,plain,(
% 0.19/0.49 frontsegP(sK50_skl,sK49_skl)|~sQ2_spl),
% 0.19/0.49 inference(component_clause,[status(thm)],[f441])).
% 0.19/0.49 fof(f444,plain,(
% 0.19/0.49 sQ0_spl|sQ2_spl),
% 0.19/0.49 inference(split_clause,[status(thm)],[f428,f434,f441])).
% 0.19/0.49 fof(f476,plain,(
% 0.19/0.49 nil=sK50_skl),
% 0.19/0.49 inference(backward_demodulation,[status(thm)],[f424,f423])).
% 0.19/0.49 fof(f479,plain,(
% 0.19/0.49 ~nil=sK49_skl),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f425,f426])).
% 0.19/0.49 fof(f480,plain,(
% 0.19/0.49 ~sK50_skl=sK49_skl),
% 0.19/0.49 inference(backward_demodulation,[status(thm)],[f476,f479])).
% 0.19/0.49 fof(f501,plain,(
% 0.19/0.49 ![X0,X1]: (~sP0_prd(X0,X1)|sK50_skl=X1)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f476,f432])).
% 0.19/0.49 fof(f502,plain,(
% 0.19/0.49 sK50_skl=sK49_skl|~sQ0_spl),
% 0.19/0.49 inference(resolution,[status(thm)],[f501,f435])).
% 0.19/0.49 fof(f504,plain,(
% 0.19/0.49 $false|~sQ0_spl),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f502,f480])).
% 0.19/0.49 fof(f505,plain,(
% 0.19/0.49 ~sQ0_spl),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f504])).
% 0.19/0.49 fof(f515,plain,(
% 0.19/0.49 ![X0]: (~ssList(X0)|~frontsegP(sK50_skl,X0)|nil=X0)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f476,f298])).
% 0.19/0.49 fof(f516,plain,(
% 0.19/0.49 ![X0]: (~ssList(X0)|~frontsegP(sK50_skl,X0)|sK50_skl=X0)),
% 0.19/0.49 inference(forward_demodulation,[status(thm)],[f476,f515])).
% 0.19/0.49 fof(f517,plain,(
% 0.19/0.49 ~ssList(sK49_skl)|sK50_skl=sK49_skl|~sQ2_spl),
% 0.19/0.49 inference(resolution,[status(thm)],[f516,f442])).
% 0.19/0.49 fof(f519,definition,(
% 0.19/0.49 sQ3_spl <=> (ssList(sK49_skl))),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f521,plain,(
% 0.19/0.49 ~ssList(sK49_skl)|sQ3_spl),
% 0.19/0.49 inference(component_clause,[status(thm)],[f519])).
% 0.19/0.49 fof(f522,definition,(
% 0.19/0.49 sQ4_spl <=> (sK50_skl=sK49_skl)),
% 0.19/0.49 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.19/0.49 fof(f523,plain,(
% 0.19/0.49 sK50_skl=sK49_skl|~sQ4_spl),
% 0.19/0.49 inference(component_clause,[status(thm)],[f522])).
% 0.19/0.49 fof(f525,plain,(
% 0.19/0.49 ~sQ3_spl|sQ4_spl|~sQ2_spl),
% 0.19/0.49 inference(split_clause,[status(thm)],[f517,f519,f522,f441])).
% 0.19/0.49 fof(f533,plain,(
% 0.19/0.49 $false|sQ3_spl),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f521,f421])).
% 0.19/0.49 fof(f534,plain,(
% 0.19/0.49 sQ3_spl),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f533])).
% 0.19/0.49 fof(f537,plain,(
% 0.19/0.49 $false|~sQ4_spl),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f523,f480])).
% 0.19/0.49 fof(f538,plain,(
% 0.19/0.49 ~sQ4_spl),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f537])).
% 0.19/0.49 fof(f539,plain,(
% 0.19/0.49 $false),
% 0.19/0.49 inference(sat_refutation,[status(thm)],[f444,f505,f525,f534,f538])).
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.53 % Elapsed time: 0.083437 seconds
% 0.26/0.53 % CPU time: 0.123380 seconds
% 0.26/0.53 % Total memory used: 13.929 MB
% 0.26/0.53 % Net memory used: 13.909 MB
%------------------------------------------------------------------------------