%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC028+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 0.23s 5.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC028+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.44 % Computer : n018.cluster.edu
% 0.18/5.44 % Model : x86_64 x86_64
% 0.18/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.44 % Memory : 8046.5625MB
% 0.18/5.44 % OS : Linux 6.8.0-71-generic
% 0.18/5.44 % CPULimit : 300
% 0.18/5.44 % WCLimit : 300
% 0.18/5.44 % DateTime : Mon Sep 21 07:52:04 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.47 % Drodi V4.1.1
% 0.23/5.51 % Refutation found
% 0.23/5.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/5.51 % SZS output start CNFRefutation for theBenchmark
% 0.23/5.51 fof(f15,axiom,(
% 0.23/5.51 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.23/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f47,axiom,(
% 0.23/5.51 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> ( ( rearsegP(U,V)& rearsegP(V,W) )=> rearsegP(U,W) ) ) )) )) )),
% 0.23/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f48,axiom,(
% 0.23/5.51 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( ( rearsegP(U,V)& rearsegP(V,U) )=> U = V ) ) )) )),
% 0.23/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f49,axiom,(
% 0.23/5.51 (! [U] :( ssList(U)=> rearsegP(U,U) ) )),
% 0.23/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f51,axiom,(
% 0.23/5.51 (! [U] :( ssList(U)=> rearsegP(U,nil) ) )),
% 0.23/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f96,conjecture,(
% 0.23/5.51 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( nil != V| nil = U )& ( nil != U| nil = V ) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) )),
% 0.23/5.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.51 fof(f97,negated_conjecture,(
% 0.23/5.51 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( nil != V| nil = U )& ( nil != U| nil = V ) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ rearsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.23/5.51 inference(negated_conjecture,[status(cth)],[f96])).
% 0.23/5.51 fof(f217,plain,(
% 0.23/5.51 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.23/5.51 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.23/5.51 fof(f218,plain,(
% 0.23/5.51 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.23/5.51 inference(NNF_transformation,[status(thm)],[f217])).
% 0.23/5.51 fof(f219,plain,(
% 0.23/5.51 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f218])).
% 0.23/5.51 fof(f300,plain,(
% 0.23/5.51 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(![W]: (~ssList(W)|((~rearsegP(U,V)|~rearsegP(V,W))|rearsegP(U,W)))))))),
% 0.23/5.51 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.23/5.51 fof(f301,plain,(
% 0.23/5.51 ![X0,X1,X2]: (~ssList(X0)|~ssList(X1)|~ssList(X2)|~rearsegP(X0,X1)|~rearsegP(X1,X2)|rearsegP(X0,X2))),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f300])).
% 0.23/5.51 fof(f302,plain,(
% 0.23/5.51 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~rearsegP(U,V)|~rearsegP(V,U))|U=V))))),
% 0.23/5.51 inference(pre_NNF_transformation,[status(thm)],[f48])).
% 0.23/5.51 fof(f303,plain,(
% 0.23/5.51 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~rearsegP(X0,X1)|~rearsegP(X1,X0)|X0=X1)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f302])).
% 0.23/5.51 fof(f304,plain,(
% 0.23/5.51 ![U]: (~ssList(U)|rearsegP(U,U))),
% 0.23/5.51 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.23/5.51 fof(f305,plain,(
% 0.23/5.51 ![X0]: (~ssList(X0)|rearsegP(X0,X0))),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f304])).
% 0.23/5.51 fof(f308,plain,(
% 0.23/5.51 ![U]: (~ssList(U)|rearsegP(U,nil))),
% 0.23/5.51 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 0.23/5.51 fof(f309,plain,(
% 0.23/5.51 ![X0]: (~ssList(X0)|rearsegP(X0,nil))),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f308])).
% 0.23/5.51 fof(f415,plain,(
% 0.23/5.51 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&((nil=V&~nil=U)|(nil=U&~nil=V)))&((nil=X&nil=W)|(neq(W,nil)&rearsegP(X,W))))))))))))),
% 0.23/5.51 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.23/5.51 fof(f416,definition,(
% 0.23/5.51 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 0.23/5.51 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.23/5.51 fof(f417,definition,(
% 0.23/5.51 ![W,X]: (sP1_prd(X,W)<=>(nil=X&nil=W))),
% 0.23/5.51 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.23/5.51 fof(f418,plain,(
% 0.23/5.51 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(sP0_prd(V,U)|(nil=U&~nil=V)))&(sP1_prd(X,W)|(neq(W,nil)&rearsegP(X,W)))))))))))),
% 0.23/5.51 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.23/5.51 fof(f419,plain,(
% 0.23/5.51 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(sP0_prd(sK48_skl,sK47_skl)|(nil=sK47_skl&~nil=sK48_skl)))&(sP1_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&rearsegP(sK50_skl,sK49_skl))))))))),
% 0.23/5.51 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)],[f418])).
% 0.23/5.51 fof(f422,plain,(
% 0.23/5.51 ssList(sK49_skl)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f419])).
% 0.23/5.51 fof(f423,plain,(
% 0.23/5.51 ssList(sK50_skl)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f419])).
% 0.23/5.51 fof(f424,plain,(
% 0.23/5.51 sK48_skl=sK50_skl),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f419])).
% 0.23/5.51 fof(f425,plain,(
% 0.23/5.51 sK47_skl=sK49_skl),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f419])).
% 0.23/5.51 fof(f426,plain,(
% 0.23/5.51 sP0_prd(sK48_skl,sK47_skl)|nil=sK47_skl),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f419])).
% 0.23/5.51 fof(f427,plain,(
% 0.23/5.51 sP0_prd(sK48_skl,sK47_skl)|~nil=sK48_skl),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f419])).
% 0.23/5.51 fof(f428,plain,(
% 0.23/5.51 sP1_prd(sK50_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f419])).
% 0.23/5.51 fof(f429,plain,(
% 0.23/5.51 sP1_prd(sK50_skl,sK49_skl)|rearsegP(sK50_skl,sK49_skl)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f419])).
% 0.23/5.51 fof(f430,plain,(
% 0.23/5.51 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.23/5.51 inference(NNF_transformation,[status(thm)],[f416])).
% 0.23/5.51 fof(f431,plain,(
% 0.23/5.51 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.23/5.51 inference(miniscoping,[status(thm)],[f430])).
% 0.23/5.51 fof(f432,plain,(
% 0.23/5.51 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f431])).
% 0.23/5.51 fof(f433,plain,(
% 0.23/5.51 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f431])).
% 0.23/5.51 fof(f435,plain,(
% 0.23/5.51 ![W,X]: ((~sP1_prd(X,W)|(nil=X&nil=W))&(sP1_prd(X,W)|(~nil=X|~nil=W)))),
% 0.23/5.51 inference(NNF_transformation,[status(thm)],[f417])).
% 0.23/5.51 fof(f436,plain,(
% 0.23/5.51 (![W,X]: (~sP1_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP1_prd(X,W)|(~nil=X|~nil=W)))),
% 0.23/5.51 inference(miniscoping,[status(thm)],[f435])).
% 0.23/5.51 fof(f437,plain,(
% 0.23/5.51 ![X0,X1]: (~sP1_prd(X0,X1)|nil=X0)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f436])).
% 0.23/5.51 fof(f438,plain,(
% 0.23/5.51 ![X0,X1]: (~sP1_prd(X0,X1)|nil=X1)),
% 0.23/5.51 inference(cnf_transformation,[status(thm)],[f436])).
% 0.23/5.51 fof(f440,definition,(
% 0.23/5.51 sQ0_spl <=> (sP0_prd(sK48_skl,sK47_skl))),
% 0.23/5.51 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.23/5.51 fof(f441,plain,(
% 0.23/5.51 sP0_prd(sK48_skl,sK47_skl)|~sQ0_spl),
% 0.23/5.51 inference(component_clause,[status(thm)],[f440])).
% 0.23/5.51 fof(f443,definition,(
% 0.23/5.51 sQ1_spl <=> (nil=sK47_skl)),
% 0.23/5.51 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.23/5.51 fof(f444,plain,(
% 0.23/5.51 nil=sK47_skl|~sQ1_spl),
% 0.23/5.51 inference(component_clause,[status(thm)],[f443])).
% 0.23/5.51 fof(f445,plain,(
% 0.23/5.51 ~nil=sK47_skl|sQ1_spl),
% 0.23/5.51 inference(component_clause,[status(thm)],[f443])).
% 0.23/5.51 fof(f446,plain,(
% 0.23/5.51 sQ0_spl|sQ1_spl),
% 0.23/5.51 inference(split_clause,[status(thm)],[f426,f440,f443])).
% 0.23/5.51 fof(f447,definition,(
% 0.23/5.51 sQ2_spl <=> (nil=sK48_skl)),
% 0.23/5.51 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.23/5.51 fof(f449,plain,(
% 0.23/5.51 ~nil=sK48_skl|sQ2_spl),
% 0.23/5.51 inference(component_clause,[status(thm)],[f447])).
% 0.23/5.51 fof(f450,plain,(
% 0.23/5.51 sQ0_spl|~sQ2_spl),
% 0.23/5.51 inference(split_clause,[status(thm)],[f427,f440,f447])).
% 0.23/5.51 fof(f451,definition,(
% 0.23/5.51 sQ3_spl <=> (sP1_prd(sK50_skl,sK49_skl))),
% 0.23/5.51 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.23/5.51 fof(f452,plain,(
% 0.23/5.51 sP1_prd(sK50_skl,sK49_skl)|~sQ3_spl),
% 0.23/5.51 inference(component_clause,[status(thm)],[f451])).
% 0.23/5.51 fof(f454,definition,(
% 0.23/5.51 sQ4_spl <=> (neq(sK49_skl,nil))),
% 0.23/5.51 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.23/5.51 fof(f455,plain,(
% 0.23/5.51 neq(sK49_skl,nil)|~sQ4_spl),
% 0.23/5.51 inference(component_clause,[status(thm)],[f454])).
% 0.23/5.51 fof(f457,plain,(
% 0.23/5.51 sQ3_spl|sQ4_spl),
% 0.23/5.51 inference(split_clause,[status(thm)],[f428,f451,f454])).
% 0.23/5.51 fof(f458,definition,(
% 0.23/5.51 sQ5_spl <=> (rearsegP(sK50_skl,sK49_skl))),
% 0.23/5.51 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.23/5.51 fof(f459,plain,(
% 0.23/5.51 rearsegP(sK50_skl,sK49_skl)|~sQ5_spl),
% 0.23/5.51 inference(component_clause,[status(thm)],[f458])).
% 0.23/5.51 fof(f461,plain,(
% 0.23/5.51 sQ3_spl|sQ5_spl),
% 0.23/5.51 inference(split_clause,[status(thm)],[f429,f451,f458])).
% 0.23/5.52 fof(f477,plain,(
% 0.23/5.52 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.23/5.52 inference(destructive_equality_resolution,[status(thm)],[f219])).
% 0.23/5.52 fof(f478,plain,(
% 0.23/5.52 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.23/5.52 inference(duplicate_literals_removal,[status(thm)],[f477])).
% 0.23/5.52 fof(f492,plain,(
% 0.23/5.52 ![X0]: (~sP0_prd(X0,nil))),
% 0.23/5.52 inference(destructive_equality_resolution,[status(thm)],[f433])).
% 0.23/5.52 fof(f497,plain,(
% 0.23/5.52 sP0_prd(sK50_skl,sK47_skl)|~sQ0_spl),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f424,f441])).
% 0.23/5.52 fof(f498,plain,(
% 0.23/5.52 sP0_prd(sK50_skl,sK49_skl)|~sQ0_spl),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f425,f497])).
% 0.23/5.52 fof(f500,plain,(
% 0.23/5.52 rearsegP(sK50_skl,sK50_skl)),
% 0.23/5.52 inference(resolution,[status(thm)],[f305,f423])).
% 0.23/5.52 fof(f501,plain,(
% 0.23/5.52 rearsegP(sK49_skl,sK49_skl)),
% 0.23/5.52 inference(resolution,[status(thm)],[f305,f422])).
% 0.23/5.52 fof(f506,plain,(
% 0.23/5.52 nil=sK50_skl|~sQ0_spl),
% 0.23/5.52 inference(resolution,[status(thm)],[f432,f498])).
% 0.23/5.52 fof(f518,plain,(
% 0.23/5.52 ![X0]: (~sP0_prd(X0,sK50_skl)|~sQ0_spl)),
% 0.23/5.52 inference(backward_demodulation,[status(thm)],[f506,f492])).
% 0.23/5.52 fof(f528,plain,(
% 0.23/5.52 ![X0,X1]: (~sP1_prd(X0,X1)|sK50_skl=X1|~sQ0_spl)),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f506,f438])).
% 0.23/5.52 fof(f530,plain,(
% 0.23/5.52 sK50_skl=sK49_skl|~sQ0_spl|~sQ3_spl),
% 0.23/5.52 inference(resolution,[status(thm)],[f528,f452])).
% 0.23/5.52 fof(f532,plain,(
% 0.23/5.52 sP0_prd(sK50_skl,sK50_skl)|~sQ3_spl|~sQ0_spl),
% 0.23/5.52 inference(backward_demodulation,[status(thm)],[f530,f498])).
% 0.23/5.52 fof(f537,plain,(
% 0.23/5.52 $false|~sQ3_spl|~sQ0_spl),
% 0.23/5.52 inference(forward_subsumption_resolution,[status(thm)],[f532,f518])).
% 0.23/5.52 fof(f538,plain,(
% 0.23/5.52 ~sQ3_spl|~sQ0_spl),
% 0.23/5.52 inference(contradiction_clause,[status(thm)],[f537])).
% 0.23/5.52 fof(f541,plain,(
% 0.23/5.52 ![X0]: (~ssList(X0)|~ssList(sK50_skl)|~ssList(sK50_skl)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK50_skl))),
% 0.23/5.52 inference(resolution,[status(thm)],[f301,f500])).
% 0.23/5.52 fof(f544,definition,(
% 0.23/5.52 ![X0]: (sQ6_spl <=> (~ssList(X0)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK50_skl)))),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f547,definition,(
% 0.23/5.52 sQ7_spl <=> (ssList(sK50_skl))),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f549,plain,(
% 0.23/5.52 ~ssList(sK50_skl)|sQ7_spl),
% 0.23/5.52 inference(component_clause,[status(thm)],[f547])).
% 0.23/5.52 fof(f550,plain,(
% 0.23/5.52 sQ6_spl|~sQ7_spl),
% 0.23/5.52 inference(split_clause,[status(thm)],[f541,f544,f547])).
% 0.23/5.52 fof(f553,plain,(
% 0.23/5.52 ~nil=sK50_skl|sQ2_spl),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f424,f449])).
% 0.23/5.52 fof(f557,plain,(
% 0.23/5.52 nil=sK49_skl|~sQ1_spl),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f425,f444])).
% 0.23/5.52 fof(f558,plain,(
% 0.23/5.52 ~sK49_skl=sK50_skl|~sQ1_spl|sQ2_spl),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f557,f553])).
% 0.23/5.52 fof(f569,plain,(
% 0.23/5.52 ![X0]: (~ssList(X0)|~ssList(sK49_skl)|~ssList(sK49_skl)|~rearsegP(X0,sK49_skl)|rearsegP(X0,sK49_skl))),
% 0.23/5.52 inference(resolution,[status(thm)],[f501,f301])).
% 0.23/5.52 fof(f570,definition,(
% 0.23/5.52 ![X0]: (sQ8_spl <=> (~ssList(X0)|~rearsegP(X0,sK49_skl)|rearsegP(X0,sK49_skl)))),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f573,definition,(
% 0.23/5.52 sQ9_spl <=> (ssList(sK49_skl))),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f575,plain,(
% 0.23/5.52 ~ssList(sK49_skl)|sQ9_spl),
% 0.23/5.52 inference(component_clause,[status(thm)],[f573])).
% 0.23/5.52 fof(f576,plain,(
% 0.23/5.52 sQ8_spl|~sQ9_spl),
% 0.23/5.52 inference(split_clause,[status(thm)],[f569,f570,f573])).
% 0.23/5.52 fof(f612,plain,(
% 0.23/5.52 ![X0,X1]: (~sP1_prd(X0,X1)|sK49_skl=X0|~sQ1_spl)),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f557,f437])).
% 0.23/5.52 fof(f614,plain,(
% 0.23/5.52 sK49_skl=sK50_skl|~sQ1_spl|~sQ3_spl),
% 0.23/5.52 inference(resolution,[status(thm)],[f612,f452])).
% 0.23/5.52 fof(f615,plain,(
% 0.23/5.52 $false|sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.23/5.52 inference(forward_subsumption_resolution,[status(thm)],[f614,f558])).
% 0.23/5.52 fof(f616,plain,(
% 0.23/5.52 sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.23/5.52 inference(contradiction_clause,[status(thm)],[f615])).
% 0.23/5.52 fof(f617,plain,(
% 0.23/5.52 neq(sK49_skl,sK49_skl)|~sQ1_spl|~sQ4_spl),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f557,f455])).
% 0.23/5.52 fof(f618,plain,(
% 0.23/5.52 ~ssList(sK49_skl)|~sQ1_spl|~sQ4_spl),
% 0.23/5.52 inference(resolution,[status(thm)],[f617,f478])).
% 0.23/5.52 fof(f620,plain,(
% 0.23/5.52 $false|~sQ1_spl|~sQ4_spl),
% 0.23/5.52 inference(forward_subsumption_resolution,[status(thm)],[f618,f422])).
% 0.23/5.52 fof(f621,plain,(
% 0.23/5.52 ~sQ1_spl|~sQ4_spl),
% 0.23/5.52 inference(contradiction_clause,[status(thm)],[f620])).
% 0.23/5.52 fof(f622,plain,(
% 0.23/5.52 ~nil=sK49_skl|sQ1_spl),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f425,f445])).
% 0.23/5.52 fof(f633,plain,(
% 0.23/5.52 ~sK50_skl=sK49_skl|~sQ0_spl|sQ1_spl),
% 0.23/5.52 inference(backward_demodulation,[status(thm)],[f506,f622])).
% 0.23/5.52 fof(f635,plain,(
% 0.23/5.52 ~ssList(sK49_skl)|~ssList(sK49_skl)|~rearsegP(sK49_skl,sK49_skl)|sK49_skl=sK49_skl),
% 0.23/5.52 inference(resolution,[status(thm)],[f303,f501])).
% 0.23/5.52 fof(f636,plain,(
% 0.23/5.52 ~ssList(sK50_skl)|~ssList(sK50_skl)|~rearsegP(sK50_skl,sK50_skl)|sK50_skl=sK50_skl),
% 0.23/5.52 inference(resolution,[status(thm)],[f303,f500])).
% 0.23/5.52 fof(f638,definition,(
% 0.23/5.52 sQ18_spl <=> (rearsegP(sK49_skl,sK49_skl))),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f640,plain,(
% 0.23/5.52 ~rearsegP(sK49_skl,sK49_skl)|sQ18_spl),
% 0.23/5.52 inference(component_clause,[status(thm)],[f638])).
% 0.23/5.52 fof(f641,definition,(
% 0.23/5.52 sQ19_spl <=> (sK49_skl=sK49_skl)),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f644,plain,(
% 0.23/5.52 ~sQ9_spl|~sQ18_spl|sQ19_spl),
% 0.23/5.52 inference(split_clause,[status(thm)],[f635,f573,f638,f641])).
% 0.23/5.52 fof(f645,definition,(
% 0.23/5.52 sQ20_spl <=> (rearsegP(sK50_skl,sK50_skl))),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f647,plain,(
% 0.23/5.52 ~rearsegP(sK50_skl,sK50_skl)|sQ20_spl),
% 0.23/5.52 inference(component_clause,[status(thm)],[f645])).
% 0.23/5.52 fof(f648,definition,(
% 0.23/5.52 sQ21_spl <=> (sK50_skl=sK50_skl)),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f651,plain,(
% 0.23/5.52 ~sQ7_spl|~sQ20_spl|sQ21_spl),
% 0.23/5.52 inference(split_clause,[status(thm)],[f636,f547,f645,f648])).
% 0.23/5.52 fof(f653,plain,(
% 0.23/5.52 $false|sQ9_spl),
% 0.23/5.52 inference(forward_subsumption_resolution,[status(thm)],[f575,f422])).
% 0.23/5.52 fof(f654,plain,(
% 0.23/5.52 sQ9_spl),
% 0.23/5.52 inference(contradiction_clause,[status(thm)],[f653])).
% 0.23/5.52 fof(f655,plain,(
% 0.23/5.52 $false|sQ7_spl),
% 0.23/5.52 inference(forward_subsumption_resolution,[status(thm)],[f549,f423])).
% 0.23/5.52 fof(f656,plain,(
% 0.23/5.52 sQ7_spl),
% 0.23/5.52 inference(contradiction_clause,[status(thm)],[f655])).
% 0.23/5.52 fof(f657,plain,(
% 0.23/5.52 $false|sQ18_spl),
% 0.23/5.52 inference(forward_subsumption_resolution,[status(thm)],[f640,f501])).
% 0.23/5.52 fof(f658,plain,(
% 0.23/5.52 sQ18_spl),
% 0.23/5.52 inference(contradiction_clause,[status(thm)],[f657])).
% 0.23/5.52 fof(f659,plain,(
% 0.23/5.52 $false|sQ20_spl),
% 0.23/5.52 inference(forward_subsumption_resolution,[status(thm)],[f647,f500])).
% 0.23/5.52 fof(f660,plain,(
% 0.23/5.52 sQ20_spl),
% 0.23/5.52 inference(contradiction_clause,[status(thm)],[f659])).
% 0.23/5.52 fof(f675,plain,(
% 0.23/5.52 ~ssList(sK49_skl)|~ssList(sK50_skl)|~rearsegP(sK49_skl,sK50_skl)|sK49_skl=sK50_skl|~sQ5_spl),
% 0.23/5.52 inference(resolution,[status(thm)],[f459,f303])).
% 0.23/5.52 fof(f676,plain,(
% 0.23/5.52 ![X0]: (~ssList(X0)|~ssList(sK50_skl)|~ssList(sK49_skl)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK49_skl)|~sQ5_spl)),
% 0.23/5.52 inference(resolution,[status(thm)],[f459,f301])).
% 0.23/5.52 fof(f677,definition,(
% 0.23/5.52 sQ22_spl <=> (rearsegP(sK49_skl,sK50_skl))),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f679,plain,(
% 0.23/5.52 ~rearsegP(sK49_skl,sK50_skl)|sQ22_spl),
% 0.23/5.52 inference(component_clause,[status(thm)],[f677])).
% 0.23/5.52 fof(f680,definition,(
% 0.23/5.52 sQ23_spl <=> (sK49_skl=sK50_skl)),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f681,plain,(
% 0.23/5.52 sK49_skl=sK50_skl|~sQ23_spl),
% 0.23/5.52 inference(component_clause,[status(thm)],[f680])).
% 0.23/5.52 fof(f683,plain,(
% 0.23/5.52 ~sQ9_spl|~sQ7_spl|~sQ22_spl|sQ23_spl|~sQ5_spl),
% 0.23/5.52 inference(split_clause,[status(thm)],[f675,f573,f547,f677,f680,f458])).
% 0.23/5.52 fof(f684,definition,(
% 0.23/5.52 ![X0]: (sQ24_spl <=> (~ssList(X0)|~rearsegP(X0,sK50_skl)|rearsegP(X0,sK49_skl)))),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.23/5.52 fof(f687,plain,(
% 0.23/5.52 sQ24_spl|~sQ7_spl|~sQ9_spl|~sQ5_spl),
% 0.23/5.52 inference(split_clause,[status(thm)],[f676,f684,f547,f573,f458])).
% 0.23/5.52 fof(f698,plain,(
% 0.23/5.52 ![X0]: (~ssList(sK49_skl)|~ssList(X0)|~ssList(sK50_skl)|~rearsegP(sK49_skl,X0)|~rearsegP(X0,sK50_skl)|sQ22_spl)),
% 0.23/5.52 inference(resolution,[status(thm)],[f679,f301])).
% 0.23/5.55 fof(f699,definition,(
% 0.23/5.55 ![X0]: (sQ25_spl <=> (~ssList(X0)|~rearsegP(sK49_skl,X0)|~rearsegP(X0,sK50_skl)))),
% 0.23/5.55 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.23/5.55 fof(f702,plain,(
% 0.23/5.55 ~sQ9_spl|sQ25_spl|~sQ7_spl|sQ22_spl),
% 0.23/5.55 inference(split_clause,[status(thm)],[f698,f573,f699,f547,f677])).
% 0.23/5.55 fof(f703,plain,(
% 0.23/5.55 $false|~sQ0_spl|sQ1_spl|~sQ23_spl),
% 0.23/5.55 inference(forward_subsumption_resolution,[status(thm)],[f681,f633])).
% 0.23/5.55 fof(f704,plain,(
% 0.23/5.55 ~sQ0_spl|sQ1_spl|~sQ23_spl),
% 0.23/5.55 inference(contradiction_clause,[status(thm)],[f703])).
% 0.23/5.55 fof(f718,plain,(
% 0.23/5.55 ![X0]: (~ssList(X0)|rearsegP(X0,sK50_skl)|~sQ0_spl)),
% 0.23/5.55 inference(forward_demodulation,[status(thm)],[f506,f309])).
% 0.23/5.55 fof(f719,plain,(
% 0.23/5.55 rearsegP(sK49_skl,sK50_skl)|~sQ0_spl),
% 0.23/5.55 inference(resolution,[status(thm)],[f718,f422])).
% 0.23/5.55 fof(f721,plain,(
% 0.23/5.55 $false|sQ22_spl|~sQ0_spl),
% 0.23/5.55 inference(forward_subsumption_resolution,[status(thm)],[f719,f679])).
% 0.23/5.55 fof(f722,plain,(
% 0.23/5.55 sQ22_spl|~sQ0_spl),
% 0.23/5.55 inference(contradiction_clause,[status(thm)],[f721])).
% 0.23/5.55 fof(f723,plain,(
% 0.23/5.55 $false),
% 0.23/5.55 inference(sat_refutation,[status(thm)],[f446,f450,f457,f461,f538,f550,f576,f616,f621,f644,f651,f654,f656,f658,f660,f683,f687,f702,f704,f722])).
% 0.23/5.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.62 % Elapsed time: 0.161902 seconds
% 0.23/5.62 % CPU time: 0.172585 seconds
% 0.23/5.62 % Total memory used: 31.388 MB
% 0.23/5.62 % Net memory used: 31.357 MB
%------------------------------------------------------------------------------