TSTP Solution File: SWC343+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC343+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:40:07 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC343+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:48:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f96,conjecture,(
% 0.13/0.36 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> ( app(W,Y) != X| ~ strictorderedP(W)| (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(cons(Z,nil),X1) = Y& (? [X2] :( ssItem(X2)& (? [X3] :( ssList(X3)& app(X3,cons(X2,nil)) = W& lt(X2,Z) ) )) )) )) )) ))| ( nil != X& nil = W )| ( (? [X4] :( ssList(X4)& app(U,X4) = V& (! [X5] :( ssItem(X5)=> (! [X6] :( ssList(X6)=> ( app(cons(X5,nil),X6) != X4| (! [X7] :( ssItem(X7)=> (! [X8] :( ssList(X8)=> ( app(X8,cons(X7,nil)) != U| ~ lt(X7,X5) ) ) )) )) ) )))& strictorderedP(U) ))& ( nil != U| nil = V ) ) ) ) )) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f97,negated_conjecture,(
% 0.13/0.36 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (! [Y] :( ssList(Y)=> ( app(W,Y) != X| ~ strictorderedP(W)| (? [Z] :( ssItem(Z)& (? [X1] :( ssList(X1)& app(cons(Z,nil),X1) = Y& (? [X2] :( ssItem(X2)& (? [X3] :( ssList(X3)& app(X3,cons(X2,nil)) = W& lt(X2,Z) ) )) )) )) )) ))| ( nil != X& nil = W )| ( (? [X4] :( ssList(X4)& app(U,X4) = V& (! [X5] :( ssItem(X5)=> (! [X6] :( ssList(X6)=> ( app(cons(X5,nil),X6) != X4| (! [X7] :( ssItem(X7)=> (! [X8] :( ssList(X8)=> ( app(X8,cons(X7,nil)) != U| ~ lt(X7,X5) ) ) )) )) ) )))& strictorderedP(U) ))& ( nil != U| nil = V ) ) ) ) )) )) )) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.36 fof(f415,plain,(
% 0.13/0.36 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&((app(W,Y)=X&strictorderedP(W))&(![Z]: (~ssItem(Z)|(![X1]: ((~ssList(X1)|~app(cons(Z,nil),X1)=Y)|(![X2]: (~ssItem(X2)|(![X3]: ((~ssList(X3)|~app(X3,cons(X2,nil))=W)|~lt(X2,Z)))))))))))))&(nil=X|~nil=W))&((![X4]: (((~ssList(X4)|~app(U,X4)=V)|(?[X5]: (ssItem(X5)&(?[X6]: (ssList(X6)&(app(cons(X5,nil),X6)=X4&(?[X7]: (ssItem(X7)&(?[X8]: (ssList(X8)&(app(X8,cons(X7,nil))=U<(X7,X5))))))))))))|~strictorderedP(U)))|(nil=U&~nil=V)))))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.13/0.36 fof(f416,plain,(
% 0.13/0.36 ![U,X4,X5]: (pd0_0(X5,X4,U)=>(ssItem(X5)&(?[X6]: (ssList(X6)&(app(cons(X5,nil),X6)=X4&(?[X7]: (ssItem(X7)&(?[X8]: (ssList(X8)&(app(X8,cons(X7,nil))=U<(X7,X5)))))))))))),
% 0.13/0.36 introduced(predicate_definition,[f415])).
% 0.13/0.36 fof(f417,plain,(
% 0.13/0.36 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&((app(W,Y)=X&strictorderedP(W))&(![Z]: (~ssItem(Z)|(![X1]: ((~ssList(X1)|~app(cons(Z,nil),X1)=Y)|(![X2]: (~ssItem(X2)|(![X3]: ((~ssList(X3)|~app(X3,cons(X2,nil))=W)|~lt(X2,Z)))))))))))))&(nil=X|~nil=W))&((![X4]: (((~ssList(X4)|~app(U,X4)=V)|(?[X5]: pd0_0(X5,X4,U)))|~strictorderedP(U)))|(nil=U&~nil=V))))))))))),
% 0.13/0.36 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.13/0.36 fof(f418,plain,(
% 0.13/0.36 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(?[Y]: (ssList(Y)&((app(W,Y)=X&strictorderedP(W))&(![Z]: (~ssItem(Z)|((![X1]: (~ssList(X1)|~app(cons(Z,nil),X1)=Y))|(![X2]: (~ssItem(X2)|((![X3]: (~ssList(X3)|~app(X3,cons(X2,nil))=W))|~lt(X2,Z)))))))))))&(nil=X|~nil=W))&(((![X4]: ((~ssList(X4)|~app(U,X4)=V)|(?[X5]: pd0_0(X5,X4,U))))|~strictorderedP(U))|(nil=U&~nil=V))))))))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f417])).
% 0.13/0.36 fof(f419,plain,(
% 0.13/0.36 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&((((sk0_48=sk0_50&sk0_47=sk0_49)&(ssList(sk0_51)&((app(sk0_49,sk0_51)=sk0_50&strictorderedP(sk0_49))&(![Z]: (~ssItem(Z)|((![X1]: (~ssList(X1)|~app(cons(Z,nil),X1)=sk0_51))|(![X2]: (~ssItem(X2)|((![X3]: (~ssList(X3)|~app(X3,cons(X2,nil))=sk0_49))|~lt(X2,Z))))))))))&(nil=sk0_50|~nil=sk0_49))&(((![X4]: ((~ssList(X4)|~app(sk0_47,X4)=sk0_48)|pd0_0(sk0_52(X4),X4,sk0_47)))|~strictorderedP(sk0_47))|(nil=sk0_47&~nil=sk0_48)))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f418])).
% 0.13/0.36 fof(f424,plain,(
% 0.13/0.36 sk0_48=sk0_50),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.36 fof(f425,plain,(
% 0.13/0.36 sk0_47=sk0_49),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.36 fof(f426,plain,(
% 0.13/0.36 ssList(sk0_51)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.36 fof(f427,plain,(
% 0.13/0.36 app(sk0_49,sk0_51)=sk0_50),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.36 fof(f428,plain,(
% 0.13/0.36 strictorderedP(sk0_49)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.36 fof(f429,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk0_51|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_49|~lt(X2,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.36 fof(f430,plain,(
% 0.13/0.36 nil=sk0_50|~nil=sk0_49),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.36 fof(f431,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|~app(sk0_47,X0)=sk0_48|pd0_0(sk0_52(X0),X0,sk0_47)|~strictorderedP(sk0_47)|nil=sk0_47)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.36 fof(f432,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|~app(sk0_47,X0)=sk0_48|pd0_0(sk0_52(X0),X0,sk0_47)|~strictorderedP(sk0_47)|~nil=sk0_48)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f419])).
% 0.13/0.36 fof(f433,plain,(
% 0.13/0.36 ![U,X4,X5]: (~pd0_0(X5,X4,U)|(ssItem(X5)&(?[X6]: (ssList(X6)&(app(cons(X5,nil),X6)=X4&(?[X7]: (ssItem(X7)&(?[X8]: (ssList(X8)&(app(X8,cons(X7,nil))=U<(X7,X5)))))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f416])).
% 0.13/0.36 fof(f434,plain,(
% 0.13/0.36 ![U,X4,X5]: (~pd0_0(X5,X4,U)|(ssItem(X5)&(ssList(sk0_53(X5,X4,U))&(app(cons(X5,nil),sk0_53(X5,X4,U))=X4&(ssItem(sk0_54(X5,X4,U))&(ssList(sk0_55(X5,X4,U))&(app(sk0_55(X5,X4,U),cons(sk0_54(X5,X4,U),nil))=U<(sk0_54(X5,X4,U),X5))))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f433])).
% 0.13/0.36 fof(f435,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f434])).
% 0.13/0.36 fof(f436,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(sk0_53(X0,X1,X2)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f434])).
% 0.13/0.36 fof(f437,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|app(cons(X0,nil),sk0_53(X0,X1,X2))=X1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f434])).
% 0.13/0.36 fof(f438,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssItem(sk0_54(X0,X1,X2)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f434])).
% 0.13/0.36 fof(f439,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|ssList(sk0_55(X0,X1,X2)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f434])).
% 0.13/0.36 fof(f440,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|app(sk0_55(X0,X1,X2),cons(sk0_54(X0,X1,X2),nil))=X2)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f434])).
% 0.13/0.36 fof(f441,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|lt(sk0_54(X0,X1,X2),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f434])).
% 0.13/0.36 fof(f442,plain,(
% 0.13/0.36 spl0_0 <=> nil=sk0_50),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f443,plain,(
% 0.13/0.36 nil=sk0_50|~spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f442])).
% 0.13/0.36 fof(f445,plain,(
% 0.13/0.36 spl0_1 <=> nil=sk0_49),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f447,plain,(
% 0.13/0.36 ~nil=sk0_49|spl0_1),
% 0.13/0.36 inference(component_clause,[status(thm)],[f445])).
% 0.13/0.36 fof(f448,plain,(
% 0.13/0.36 spl0_0|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f430,f442,f445])).
% 0.13/0.36 fof(f449,plain,(
% 0.13/0.36 spl0_2 <=> ~ssList(X0)|~app(sk0_47,X0)=sk0_48|pd0_0(sk0_52(X0),X0,sk0_47)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f450,plain,(
% 0.13/0.36 ![X0]: (~ssList(X0)|~app(sk0_47,X0)=sk0_48|pd0_0(sk0_52(X0),X0,sk0_47)|~spl0_2)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f449])).
% 0.13/0.36 fof(f452,plain,(
% 0.13/0.36 spl0_3 <=> strictorderedP(sk0_47)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f454,plain,(
% 0.13/0.36 ~strictorderedP(sk0_47)|spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f452])).
% 0.13/0.36 fof(f455,plain,(
% 0.13/0.36 spl0_4 <=> nil=sk0_47),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f456,plain,(
% 0.13/0.36 nil=sk0_47|~spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f455])).
% 0.13/0.36 fof(f458,plain,(
% 0.13/0.36 spl0_2|~spl0_3|spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f431,f449,f452,f455])).
% 0.13/0.36 fof(f459,plain,(
% 0.13/0.36 spl0_5 <=> nil=sk0_48),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f461,plain,(
% 0.13/0.36 ~nil=sk0_48|spl0_5),
% 0.13/0.36 inference(component_clause,[status(thm)],[f459])).
% 0.13/0.36 fof(f462,plain,(
% 0.13/0.36 spl0_2|~spl0_3|~spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f432,f449,f452,f459])).
% 0.13/0.36 fof(f495,plain,(
% 0.13/0.36 strictorderedP(sk0_47)),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f425,f428])).
% 0.13/0.36 fof(f496,plain,(
% 0.13/0.36 app(sk0_47,sk0_51)=sk0_50),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f425,f427])).
% 0.13/0.36 fof(f497,plain,(
% 0.13/0.36 app(sk0_47,sk0_51)=sk0_48),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f424,f496])).
% 0.13/0.36 fof(f498,plain,(
% 0.13/0.36 ~nil=sk0_47|spl0_1),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f425,f447])).
% 0.13/0.36 fof(f499,plain,(
% 0.13/0.36 $false|spl0_3),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f454,f495])).
% 0.13/0.36 fof(f500,plain,(
% 0.13/0.36 spl0_3),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f499])).
% 0.13/0.36 fof(f501,plain,(
% 0.13/0.36 spl0_6 <=> ssList(sk0_51)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f503,plain,(
% 0.13/0.36 ~ssList(sk0_51)|spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f501])).
% 0.13/0.36 fof(f504,plain,(
% 0.13/0.36 spl0_7 <=> pd0_0(sk0_52(sk0_51),sk0_51,sk0_47)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f505,plain,(
% 0.13/0.36 pd0_0(sk0_52(sk0_51),sk0_51,sk0_47)|~spl0_7),
% 0.13/0.36 inference(component_clause,[status(thm)],[f504])).
% 0.13/0.36 fof(f507,plain,(
% 0.13/0.36 ~ssList(sk0_51)|pd0_0(sk0_52(sk0_51),sk0_51,sk0_47)|~spl0_2),
% 0.13/0.36 inference(resolution,[status(thm)],[f450,f497])).
% 0.13/0.36 fof(f508,plain,(
% 0.13/0.36 ~spl0_6|spl0_7|~spl0_2),
% 0.13/0.36 inference(split_clause,[status(thm)],[f507,f501,f504,f449])).
% 0.13/0.36 fof(f514,plain,(
% 0.13/0.36 $false|spl0_6),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f503,f426])).
% 0.13/0.36 fof(f515,plain,(
% 0.13/0.36 spl0_6),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f514])).
% 0.13/0.36 fof(f517,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(cons(X0,nil),X1)=sk0_51|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_47|~lt(X2,X0))),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f425,f429])).
% 0.13/0.36 fof(f518,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(sk0_53(X0,sk0_51,X1))|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_47|~lt(X2,X0)|~pd0_0(X0,sk0_51,X1))),
% 0.13/0.36 inference(resolution,[status(thm)],[f517,f437])).
% 0.13/0.36 fof(f519,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssList(sk0_53(X0,sk0_51,X1))|~ssItem(X2)|~ssList(X3)|~app(X3,cons(X2,nil))=sk0_47|~lt(X2,X0)|~pd0_0(X0,sk0_51,X1))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f518,f435])).
% 0.13/0.36 fof(f520,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssItem(X0)|~ssList(X1)|~app(X1,cons(X0,nil))=sk0_47|~lt(X0,X2)|~pd0_0(X2,sk0_51,X3))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f519,f436])).
% 0.13/0.36 fof(f521,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssItem(sk0_54(X0,X1,sk0_47))|~ssList(sk0_55(X0,X1,sk0_47))|~lt(sk0_54(X0,X1,sk0_47),X2)|~pd0_0(X2,sk0_51,X3)|~pd0_0(X0,X1,sk0_47))),
% 0.13/0.36 inference(resolution,[status(thm)],[f520,f440])).
% 0.13/0.36 fof(f522,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ssList(sk0_55(X0,X1,sk0_47))|~lt(sk0_54(X0,X1,sk0_47),X2)|~pd0_0(X2,sk0_51,X3)|~pd0_0(X0,X1,sk0_47))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f521,f438])).
% 0.13/0.36 fof(f523,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~lt(sk0_54(X0,X1,sk0_47),X2)|~pd0_0(X2,sk0_51,X3)|~pd0_0(X0,X1,sk0_47))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f522,f439])).
% 0.13/0.36 fof(f524,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~pd0_0(X0,sk0_51,X1)|~pd0_0(X0,X2,sk0_47)|~pd0_0(X0,X2,sk0_47))),
% 0.13/0.36 inference(resolution,[status(thm)],[f523,f441])).
% 0.13/0.36 fof(f525,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~pd0_0(X0,sk0_51,X1)|~pd0_0(X0,X2,sk0_47))),
% 0.13/0.36 inference(duplicate_literals_removal,[status(esa)],[f524])).
% 0.13/0.36 fof(f526,plain,(
% 0.13/0.36 ![X0]: (~pd0_0(sk0_52(sk0_51),X0,sk0_47)|~spl0_7)),
% 0.13/0.36 inference(resolution,[status(thm)],[f525,f505])).
% 0.13/0.36 fof(f527,plain,(
% 0.13/0.36 $false|~spl0_7),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f505,f526])).
% 0.13/0.36 fof(f528,plain,(
% 0.13/0.36 ~spl0_7),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f527])).
% 0.13/0.36 fof(f529,plain,(
% 0.13/0.36 $false|spl0_1|~spl0_4),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f456,f498])).
% 0.13/0.36 fof(f530,plain,(
% 0.13/0.36 spl0_1|~spl0_4),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f529])).
% 0.13/0.36 fof(f531,plain,(
% 0.13/0.36 nil=sk0_48|~spl0_0),
% 0.13/0.36 inference(forward_demodulation,[status(thm)],[f424,f443])).
% 0.13/0.36 fof(f533,plain,(
% 0.13/0.36 $false|spl0_5|~spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f531,f461])).
% 0.13/0.36 fof(f534,plain,(
% 0.13/0.36 spl0_5|~spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f533])).
% 0.13/0.36 fof(f535,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f448,f458,f462,f500,f508,f515,f528,f530,f534])).
% 0.19/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.38 % Elapsed time: 0.032682 seconds
% 0.19/0.38 % CPU time: 0.052375 seconds
% 0.19/0.38 % Memory used: 16.270 MB
%------------------------------------------------------------------------------