TSTP Solution File: SWC379+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC379+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Tue Apr 30 20:45:34 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC379+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.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 Apr 30 00:04:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f29,axiom,(
% 0.13/0.37 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> ( ( leq(U,V)& leq(V,U) )=> U = V ) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f30,axiom,(
% 0.13/0.37 (! [U] :( ssItem(U)=> (! [V] :( ssItem(V)=> (! [W] :( ssItem(W)=> ( ( leq(U,V)& leq(V,W) )=> leq(U,W) ) ) )) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f31,axiom,(
% 0.13/0.37 (! [U] :( ssItem(U)=> leq(U,U) ) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f96,conjecture,(
% 0.13/0.37 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& ( ( ~ memberP(W,Y)& (! [Z] :( ssItem(Z)=> ( ~ memberP(X,Z)| ~ leq(Z,Y)| Y = Z ) ))& memberP(X,Y) )| ( memberP(W,Y)& ( ~ memberP(X,Y)| (? [Z] :( ssItem(Z)& Y != Z& memberP(X,Z)& leq(Z,Y) ) )) ) ) ))| (! [X1] :( ssItem(X1)=> ( ( ~ memberP(U,X1)& ( ~ memberP(V,X1)| (? [X2] :( ssItem(X2)& X1 != X2& memberP(V,X2)& leq(X2,X1) ) )) )| ( (! [X2] :( ssItem(X2)=> ( ~ memberP(V,X2)| ~ leq(X2,X1)| X1 = X2 ) ))& memberP(V,X1)& memberP(U,X1) ) ) ) )) ) )) )) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f97,negated_conjecture,(
% 0.13/0.37 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& ( ( ~ memberP(W,Y)& (! [Z] :( ssItem(Z)=> ( ~ memberP(X,Z)| ~ leq(Z,Y)| Y = Z ) ))& memberP(X,Y) )| ( memberP(W,Y)& ( ~ memberP(X,Y)| (? [Z] :( ssItem(Z)& Y != Z& memberP(X,Z)& leq(Z,Y) ) )) ) ) ))| (! [X1] :( ssItem(X1)=> ( ( ~ memberP(U,X1)& ( ~ memberP(V,X1)| (? [X2] :( ssItem(X2)& X1 != X2& memberP(V,X2)& leq(X2,X1) ) )) )| ( (! [X2] :( ssItem(X2)=> ( ~ memberP(V,X2)| ~ leq(X2,X1)| X1 = X2 ) ))& memberP(V,X1)& memberP(U,X1) ) ) ) )) ) )) )) )) ))),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.37 fof(f250,plain,(
% 0.13/0.37 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|((~leq(U,V)|~leq(V,U))|U=V))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.13/0.37 fof(f251,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~ssItem(X1)|~leq(X0,X1)|~leq(X1,X0)|X0=X1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f250])).
% 0.13/0.37 fof(f252,plain,(
% 0.13/0.37 ![U]: (~ssItem(U)|(![V]: (~ssItem(V)|(![W]: (~ssItem(W)|((~leq(U,V)|~leq(V,W))|leq(U,W)))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.13/0.37 fof(f253,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~ssItem(X0)|~ssItem(X1)|~ssItem(X2)|~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f252])).
% 0.13/0.37 fof(f254,plain,(
% 0.13/0.37 ![U]: (~ssItem(U)|leq(U,U))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.13/0.37 fof(f255,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|leq(X0,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f254])).
% 0.13/0.37 fof(f415,plain,(
% 0.13/0.37 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(![Y]: (~ssItem(Y)|(((memberP(W,Y)|(?[Z]: (ssItem(Z)&((memberP(X,Z)&leq(Z,Y))&~Y=Z))))|~memberP(X,Y))&(~memberP(W,Y)|(memberP(X,Y)&(![Z]: (((~ssItem(Z)|Y=Z)|~memberP(X,Z))|~leq(Z,Y)))))))))&(?[X1]: (ssItem(X1)&((memberP(U,X1)|(memberP(V,X1)&(![X2]: (((~ssItem(X2)|X1=X2)|~memberP(V,X2))|~leq(X2,X1)))))&(((?[X2]: (ssItem(X2)&((memberP(V,X2)&leq(X2,X1))&~X1=X2)))|~memberP(V,X1))|~memberP(U,X1))))))))))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 0.13/0.37 fof(f416,plain,(
% 0.13/0.37 (ssList(sk0_47)&(ssList(sk0_48)&(ssList(sk0_49)&(ssList(sk0_50)&(((sk0_48=sk0_50&sk0_47=sk0_49)&(![Y]: (~ssItem(Y)|(((memberP(sk0_49,Y)|(ssItem(sk0_51(Y))&((memberP(sk0_50,sk0_51(Y))&leq(sk0_51(Y),Y))&~Y=sk0_51(Y))))|~memberP(sk0_50,Y))&(~memberP(sk0_49,Y)|(memberP(sk0_50,Y)&(![Z]: (((~ssItem(Z)|Y=Z)|~memberP(sk0_50,Z))|~leq(Z,Y)))))))))&(ssItem(sk0_52)&((memberP(sk0_47,sk0_52)|(memberP(sk0_48,sk0_52)&(![X2]: (((~ssItem(X2)|sk0_52=X2)|~memberP(sk0_48,X2))|~leq(X2,sk0_52)))))&(((ssItem(sk0_53)&((memberP(sk0_48,sk0_53)&leq(sk0_53,sk0_52))&~sk0_52=sk0_53))|~memberP(sk0_48,sk0_52))|~memberP(sk0_47,sk0_52)))))))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f415])).
% 0.13/0.37 fof(f421,plain,(
% 0.13/0.37 sk0_48=sk0_50),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f422,plain,(
% 0.13/0.37 sk0_47=sk0_49),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f423,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_49,X0)|ssItem(sk0_51(X0))|~memberP(sk0_50,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f424,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_49,X0)|memberP(sk0_50,sk0_51(X0))|~memberP(sk0_50,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f425,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_49,X0)|leq(sk0_51(X0),X0)|~memberP(sk0_50,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f426,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_49,X0)|~X0=sk0_51(X0)|~memberP(sk0_50,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f427,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|~memberP(sk0_49,X0)|memberP(sk0_50,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f428,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~memberP(sk0_49,X0)|~ssItem(X1)|X0=X1|~memberP(sk0_50,X1)|~leq(X1,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f429,plain,(
% 0.13/0.37 ssItem(sk0_52)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f430,plain,(
% 0.13/0.37 memberP(sk0_47,sk0_52)|memberP(sk0_48,sk0_52)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f431,plain,(
% 0.13/0.37 ![X0]: (memberP(sk0_47,sk0_52)|~ssItem(X0)|sk0_52=X0|~memberP(sk0_48,X0)|~leq(X0,sk0_52))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f432,plain,(
% 0.13/0.37 ssItem(sk0_53)|~memberP(sk0_48,sk0_52)|~memberP(sk0_47,sk0_52)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f433,plain,(
% 0.13/0.37 memberP(sk0_48,sk0_53)|~memberP(sk0_48,sk0_52)|~memberP(sk0_47,sk0_52)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f434,plain,(
% 0.13/0.37 leq(sk0_53,sk0_52)|~memberP(sk0_48,sk0_52)|~memberP(sk0_47,sk0_52)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f435,plain,(
% 0.13/0.37 ~sk0_52=sk0_53|~memberP(sk0_48,sk0_52)|~memberP(sk0_47,sk0_52)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f416])).
% 0.13/0.37 fof(f436,plain,(
% 0.13/0.37 spl0_0 <=> memberP(sk0_47,sk0_52)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f437,plain,(
% 0.13/0.37 memberP(sk0_47,sk0_52)|~spl0_0),
% 0.13/0.37 inference(component_clause,[status(thm)],[f436])).
% 0.13/0.37 fof(f439,plain,(
% 0.13/0.37 spl0_1 <=> memberP(sk0_48,sk0_52)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f440,plain,(
% 0.13/0.37 memberP(sk0_48,sk0_52)|~spl0_1),
% 0.13/0.37 inference(component_clause,[status(thm)],[f439])).
% 0.13/0.37 fof(f442,plain,(
% 0.13/0.37 spl0_0|spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f430,f436,f439])).
% 0.13/0.37 fof(f443,plain,(
% 0.13/0.37 spl0_2 <=> ~ssItem(X0)|sk0_52=X0|~memberP(sk0_48,X0)|~leq(X0,sk0_52)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f444,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|sk0_52=X0|~memberP(sk0_48,X0)|~leq(X0,sk0_52)|~spl0_2)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f443])).
% 0.13/0.37 fof(f446,plain,(
% 0.13/0.37 spl0_0|spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f431,f436,f443])).
% 0.13/0.37 fof(f447,plain,(
% 0.13/0.37 spl0_3 <=> ssItem(sk0_53)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f450,plain,(
% 0.13/0.37 spl0_3|~spl0_1|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f432,f447,f439,f436])).
% 0.13/0.37 fof(f451,plain,(
% 0.13/0.37 spl0_4 <=> memberP(sk0_48,sk0_53)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f452,plain,(
% 0.13/0.37 memberP(sk0_48,sk0_53)|~spl0_4),
% 0.13/0.37 inference(component_clause,[status(thm)],[f451])).
% 0.13/0.37 fof(f454,plain,(
% 0.13/0.37 spl0_4|~spl0_1|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f433,f451,f439,f436])).
% 0.13/0.37 fof(f455,plain,(
% 0.13/0.37 spl0_5 <=> leq(sk0_53,sk0_52)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f456,plain,(
% 0.13/0.37 leq(sk0_53,sk0_52)|~spl0_5),
% 0.13/0.37 inference(component_clause,[status(thm)],[f455])).
% 0.13/0.37 fof(f458,plain,(
% 0.13/0.37 spl0_5|~spl0_1|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f434,f455,f439,f436])).
% 0.13/0.37 fof(f459,plain,(
% 0.13/0.37 spl0_6 <=> sk0_52=sk0_53),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f462,plain,(
% 0.13/0.37 ~spl0_6|~spl0_1|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f435,f459,f439,f436])).
% 0.13/0.37 fof(f495,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|memberP(sk0_50,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f422,f427])).
% 0.13/0.37 fof(f496,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|memberP(sk0_48,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f421,f495])).
% 0.13/0.37 fof(f497,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~X0=sk0_51(X0)|~memberP(sk0_50,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f422,f426])).
% 0.13/0.37 fof(f498,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|~X0=sk0_51(X0)|~memberP(sk0_48,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f421,f497])).
% 0.13/0.37 fof(f499,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|ssItem(sk0_51(X0))|~memberP(sk0_50,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f422,f423])).
% 0.13/0.37 fof(f500,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|ssItem(sk0_51(X0))|~memberP(sk0_48,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f421,f499])).
% 0.13/0.37 fof(f501,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|leq(sk0_51(X0),X0)|~memberP(sk0_50,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f422,f425])).
% 0.13/0.37 fof(f502,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|leq(sk0_51(X0),X0)|~memberP(sk0_48,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f421,f501])).
% 0.13/0.37 fof(f509,plain,(
% 0.13/0.37 spl0_7 <=> ssItem(sk0_52)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f511,plain,(
% 0.13/0.37 ~ssItem(sk0_52)|spl0_7),
% 0.13/0.37 inference(component_clause,[status(thm)],[f509])).
% 0.13/0.37 fof(f512,plain,(
% 0.13/0.37 ~ssItem(sk0_52)|memberP(sk0_48,sk0_52)|~spl0_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f437,f496])).
% 0.13/0.37 fof(f513,plain,(
% 0.13/0.37 ~spl0_7|spl0_1|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f512,f509,f439,f436])).
% 0.13/0.37 fof(f514,plain,(
% 0.13/0.37 spl0_8 <=> ssItem(sk0_51(sk0_52))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f517,plain,(
% 0.13/0.37 ~ssItem(sk0_52)|memberP(sk0_47,sk0_52)|ssItem(sk0_51(sk0_52))|~spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f440,f500])).
% 0.13/0.37 fof(f518,plain,(
% 0.13/0.37 ~spl0_7|spl0_0|spl0_8|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f517,f509,f436,f514,f439])).
% 0.13/0.37 fof(f519,plain,(
% 0.13/0.37 $false|spl0_7),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f511,f429])).
% 0.13/0.37 fof(f520,plain,(
% 0.13/0.37 spl0_7),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f519])).
% 0.13/0.37 fof(f523,plain,(
% 0.13/0.37 spl0_9 <=> sk0_52=sk0_51(sk0_52)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f524,plain,(
% 0.13/0.37 sk0_52=sk0_51(sk0_52)|~spl0_9),
% 0.13/0.37 inference(component_clause,[status(thm)],[f523])).
% 0.13/0.37 fof(f526,plain,(
% 0.13/0.37 spl0_10 <=> memberP(sk0_48,sk0_51(sk0_52))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f528,plain,(
% 0.13/0.37 ~memberP(sk0_48,sk0_51(sk0_52))|spl0_10),
% 0.13/0.37 inference(component_clause,[status(thm)],[f526])).
% 0.13/0.37 fof(f529,plain,(
% 0.13/0.37 ~ssItem(sk0_51(sk0_52))|sk0_52=sk0_51(sk0_52)|~memberP(sk0_48,sk0_51(sk0_52))|~ssItem(sk0_52)|memberP(sk0_47,sk0_52)|~memberP(sk0_48,sk0_52)|~spl0_2),
% 0.13/0.37 inference(resolution,[status(thm)],[f444,f502])).
% 0.13/0.37 fof(f530,plain,(
% 0.13/0.37 ~spl0_8|spl0_9|~spl0_10|~spl0_7|spl0_0|~spl0_1|~spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f529,f514,f523,f526,f509,f436,f439,f443])).
% 0.13/0.37 fof(f536,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|memberP(sk0_50,sk0_51(X0))|~memberP(sk0_50,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f422,f424])).
% 0.13/0.37 fof(f537,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|memberP(sk0_48,sk0_51(X0))|~memberP(sk0_50,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f421,f536])).
% 0.13/0.37 fof(f538,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|memberP(sk0_47,X0)|memberP(sk0_48,sk0_51(X0))|~memberP(sk0_48,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f421,f537])).
% 0.13/0.37 fof(f539,plain,(
% 0.13/0.37 ~ssItem(sk0_52)|memberP(sk0_47,sk0_52)|~memberP(sk0_48,sk0_52)|spl0_10),
% 0.13/0.37 inference(resolution,[status(thm)],[f538,f528])).
% 0.13/0.37 fof(f540,plain,(
% 0.13/0.37 ~spl0_7|spl0_0|~spl0_1|spl0_10),
% 0.13/0.37 inference(split_clause,[status(thm)],[f539,f509,f436,f439,f526])).
% 0.13/0.37 fof(f543,plain,(
% 0.13/0.37 spl0_12 <=> memberP(sk0_47,sk0_53)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f546,plain,(
% 0.13/0.37 spl0_13 <=> ssItem(sk0_51(sk0_53))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f549,plain,(
% 0.13/0.37 ~ssItem(sk0_53)|memberP(sk0_47,sk0_53)|ssItem(sk0_51(sk0_53))|~spl0_4),
% 0.13/0.37 inference(resolution,[status(thm)],[f452,f500])).
% 0.13/0.37 fof(f550,plain,(
% 0.13/0.37 ~spl0_3|spl0_12|spl0_13|~spl0_4),
% 0.13/0.37 inference(split_clause,[status(thm)],[f549,f447,f543,f546,f451])).
% 0.13/0.37 fof(f551,plain,(
% 0.13/0.37 spl0_14 <=> ~ssItem(X0)|~leq(X0,sk0_53)|leq(X0,sk0_52)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f552,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|~leq(X0,sk0_53)|leq(X0,sk0_52)|~spl0_14)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f551])).
% 0.13/0.37 fof(f554,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|~ssItem(sk0_53)|~ssItem(sk0_52)|~leq(X0,sk0_53)|leq(X0,sk0_52)|~spl0_5)),
% 0.13/0.37 inference(resolution,[status(thm)],[f456,f253])).
% 0.13/0.37 fof(f555,plain,(
% 0.13/0.37 spl0_14|~spl0_3|~spl0_7|~spl0_5),
% 0.13/0.37 inference(split_clause,[status(thm)],[f554,f551,f447,f509,f455])).
% 0.13/0.37 fof(f556,plain,(
% 0.13/0.37 spl0_15 <=> leq(sk0_52,sk0_53)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f559,plain,(
% 0.13/0.37 ~ssItem(sk0_52)|~ssItem(sk0_53)|~leq(sk0_52,sk0_53)|sk0_52=sk0_53|~spl0_5),
% 0.13/0.37 inference(resolution,[status(thm)],[f456,f251])).
% 0.13/0.37 fof(f560,plain,(
% 0.13/0.37 ~spl0_7|~spl0_3|~spl0_15|spl0_6|~spl0_5),
% 0.13/0.37 inference(split_clause,[status(thm)],[f559,f509,f447,f556,f459,f455])).
% 0.13/0.37 fof(f563,plain,(
% 0.13/0.37 ~ssItem(sk0_52)|memberP(sk0_47,sk0_52)|~memberP(sk0_48,sk0_52)|~spl0_9),
% 0.13/0.37 inference(resolution,[status(thm)],[f524,f498])).
% 0.13/0.37 fof(f564,plain,(
% 0.13/0.37 ~spl0_7|spl0_0|~spl0_1|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f563,f509,f436,f439,f523])).
% 0.13/0.37 fof(f580,plain,(
% 0.13/0.37 ~ssItem(sk0_53)|sk0_52=sk0_53|~memberP(sk0_48,sk0_53)|~spl0_5|~spl0_2),
% 0.13/0.37 inference(resolution,[status(thm)],[f456,f444])).
% 0.13/0.37 fof(f581,plain,(
% 0.13/0.37 ~spl0_3|spl0_6|~spl0_4|~spl0_5|~spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f580,f447,f459,f451,f455,f443])).
% 0.13/0.37 fof(f588,plain,(
% 0.13/0.37 spl0_17 <=> leq(sk0_51(sk0_53),sk0_52)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f591,plain,(
% 0.13/0.37 ~ssItem(sk0_51(sk0_53))|leq(sk0_51(sk0_53),sk0_52)|~ssItem(sk0_53)|memberP(sk0_47,sk0_53)|~memberP(sk0_48,sk0_53)|~spl0_14),
% 0.13/0.37 inference(resolution,[status(thm)],[f552,f502])).
% 0.13/0.37 fof(f592,plain,(
% 0.13/0.37 ~spl0_13|spl0_17|~spl0_3|spl0_12|~spl0_4|~spl0_14),
% 0.13/0.37 inference(split_clause,[status(thm)],[f591,f546,f588,f447,f543,f451,f551])).
% 0.13/0.37 fof(f593,plain,(
% 0.13/0.37 ~ssItem(sk0_53)|leq(sk0_53,sk0_52)|~ssItem(sk0_53)|~spl0_14),
% 0.13/0.37 inference(resolution,[status(thm)],[f552,f255])).
% 0.13/0.37 fof(f594,plain,(
% 0.13/0.37 ~spl0_3|spl0_5|~spl0_14),
% 0.13/0.37 inference(split_clause,[status(thm)],[f593,f447,f455,f551])).
% 0.13/0.37 fof(f597,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~memberP(sk0_47,X0)|~ssItem(X1)|X0=X1|~memberP(sk0_50,X1)|~leq(X1,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f422,f428])).
% 0.13/0.37 fof(f598,plain,(
% 0.13/0.37 ![X0,X1]: (~ssItem(X0)|~memberP(sk0_47,X0)|~ssItem(X1)|X0=X1|~memberP(sk0_48,X1)|~leq(X1,X0))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f421,f597])).
% 0.13/0.37 fof(f599,plain,(
% 0.13/0.37 spl0_18 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_53|~leq(sk0_53,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f602,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|~ssItem(sk0_53)|X0=sk0_53|~leq(sk0_53,X0)|~spl0_4)),
% 0.13/0.37 inference(resolution,[status(thm)],[f598,f452])).
% 0.13/0.37 fof(f603,plain,(
% 0.13/0.37 spl0_18|~spl0_3|~spl0_4),
% 0.13/0.37 inference(split_clause,[status(thm)],[f602,f599,f447,f451])).
% 0.13/0.37 fof(f606,plain,(
% 0.13/0.37 spl0_19 <=> ~ssItem(X0)|~memberP(sk0_47,X0)|X0=sk0_52|~leq(sk0_52,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f609,plain,(
% 0.13/0.37 ![X0]: (~ssItem(X0)|~memberP(sk0_47,X0)|~ssItem(sk0_52)|X0=sk0_52|~leq(sk0_52,X0)|~spl0_1)),
% 0.13/0.37 inference(resolution,[status(thm)],[f598,f440])).
% 0.13/0.37 fof(f610,plain,(
% 0.13/0.37 spl0_19|~spl0_7|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f609,f606,f509,f439])).
% 0.13/0.37 fof(f611,plain,(
% 0.13/0.37 ~ssItem(sk0_52)|~memberP(sk0_47,sk0_52)|~ssItem(sk0_53)|sk0_52=sk0_53|~memberP(sk0_48,sk0_53)|~spl0_5),
% 0.13/0.37 inference(resolution,[status(thm)],[f598,f456])).
% 0.13/0.37 fof(f612,plain,(
% 0.13/0.37 ~spl0_7|~spl0_0|~spl0_3|spl0_6|~spl0_4|~spl0_5),
% 0.13/0.37 inference(split_clause,[status(thm)],[f611,f509,f436,f447,f459,f451,f455])).
% 0.13/0.37 fof(f613,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f442,f446,f450,f454,f458,f462,f513,f518,f520,f530,f540,f550,f555,f560,f564,f581,f592,f594,f603,f610,f612])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.031706 seconds
% 0.13/0.38 % CPU time: 0.056163 seconds
% 0.13/0.38 % Total memory used: 16.925 MB
% 0.13/0.38 % Net memory used: 16.888 MB
%------------------------------------------------------------------------------