TSTP Solution File: SWV042+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV042+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:45:50 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV042+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:16:32 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.22/0.46 % Refutation found
% 0.22/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.46 fof(f30,axiom,(
% 0.22/0.46 (! [X] : plus(n1,X) = succ(X) )),
% 0.22/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.46 fof(f39,axiom,(
% 0.22/0.46 (! [X] : minus(X,n1) = pred(X) )),
% 0.22/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.46 fof(f40,axiom,(
% 0.22/0.46 (! [X] : pred(succ(X)) = X )),
% 0.22/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.46 fof(f53,conjecture,(
% 0.22/0.46 ( ( (! [A] :( ( leq(n0,A)& leq(A,n2) )=> (! [B] :( ( leq(n0,B)& leq(B,n3) )=> a_select3(simplex7_init,B,A) = init ) )))& (! [C] :( ( leq(n0,C)& leq(C,n3) )=> a_select2(s_values7_init,C) = init ))& (! [D] :( ( leq(n0,D)& leq(D,minus(plus(n1,n2),n1)) )=> a_select2(s_center7_init,D) = init ))& ( gt(loopcounter,n1)=> ( pvar1400_init = init& pvar1401_init = init& pvar1402_init = init ) ) )=> ( (! [E] :( ( leq(n0,E)& leq(E,n2) )=> (! [F] :( ( leq(n0,F)& leq(F,n3) )=> a_select3(simplex7_init,F,E) = init ) )))& (! [G] :( ( leq(n0,G)& leq(G,n3) )=> a_select2(s_values7_init,G) = init ))& (! [H] :( ( leq(n0,H)& leq(H,n2) )=> a_select2(s_center7_init,H) = init ))& ( gt(loopcounter,n1)=> ( pvar1400_init = init& pvar1401_init = init& pvar1402_init = init ) ) ) ) ),
% 0.22/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.46 fof(f54,negated_conjecture,(
% 0.22/0.46 ~(( ( (! [A] :( ( leq(n0,A)& leq(A,n2) )=> (! [B] :( ( leq(n0,B)& leq(B,n3) )=> a_select3(simplex7_init,B,A) = init ) )))& (! [C] :( ( leq(n0,C)& leq(C,n3) )=> a_select2(s_values7_init,C) = init ))& (! [D] :( ( leq(n0,D)& leq(D,minus(plus(n1,n2),n1)) )=> a_select2(s_center7_init,D) = init ))& ( gt(loopcounter,n1)=> ( pvar1400_init = init& pvar1401_init = init& pvar1402_init = init ) ) )=> ( (! [E] :( ( leq(n0,E)& leq(E,n2) )=> (! [F] :( ( leq(n0,F)& leq(F,n3) )=> a_select3(simplex7_init,F,E) = init ) )))& (! [G] :( ( leq(n0,G)& leq(G,n3) )=> a_select2(s_values7_init,G) = init ))& (! [H] :( ( leq(n0,H)& leq(H,n2) )=> a_select2(s_center7_init,H) = init ))& ( gt(loopcounter,n1)=> ( pvar1400_init = init& pvar1401_init = init& pvar1402_init = init ) ) ) ) )),
% 0.22/0.46 inference(negated_conjecture,[status(cth)],[f53])).
% 0.22/0.46 fof(f201,plain,(
% 0.22/0.46 ![X0]: (plus(n1,X0)=succ(X0))),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f30])).
% 0.22/0.46 fof(f210,plain,(
% 0.22/0.46 ![X0]: (minus(X0,n1)=pred(X0))),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f39])).
% 0.22/0.46 fof(f211,plain,(
% 0.22/0.46 ![X0]: (pred(succ(X0))=X0)),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f40])).
% 0.22/0.46 fof(f244,plain,(
% 0.22/0.46 (((((![A]: ((~leq(n0,A)|~leq(A,n2))|(![B]: ((~leq(n0,B)|~leq(B,n3))|a_select3(simplex7_init,B,A)=init))))&(![C]: ((~leq(n0,C)|~leq(C,n3))|a_select2(s_values7_init,C)=init)))&(![D]: ((~leq(n0,D)|~leq(D,minus(plus(n1,n2),n1)))|a_select2(s_center7_init,D)=init)))&(~gt(loopcounter,n1)|((pvar1400_init=init&pvar1401_init=init)&pvar1402_init=init)))&((((?[E]: ((leq(n0,E)&leq(E,n2))&(?[F]: ((leq(n0,F)&leq(F,n3))&~a_select3(simplex7_init,F,E)=init))))|(?[G]: ((leq(n0,G)&leq(G,n3))&~a_select2(s_values7_init,G)=init)))|(?[H]: ((leq(n0,H)&leq(H,n2))&~a_select2(s_center7_init,H)=init)))|(gt(loopcounter,n1)&((~pvar1400_init=init|~pvar1401_init=init)|~pvar1402_init=init))))),
% 0.22/0.46 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.22/0.46 fof(f245,plain,(
% 0.22/0.46 pd0_3=>(((?[E]: ((leq(n0,E)&leq(E,n2))&(?[F]: ((leq(n0,F)&leq(F,n3))&~a_select3(simplex7_init,F,E)=init))))|(?[G]: ((leq(n0,G)&leq(G,n3))&~a_select2(s_values7_init,G)=init)))|(?[H]: ((leq(n0,H)&leq(H,n2))&~a_select2(s_center7_init,H)=init)))),
% 0.22/0.46 introduced(predicate_definition,[f244])).
% 0.22/0.46 fof(f246,plain,(
% 0.22/0.46 ((((![A]: ((~leq(n0,A)|~leq(A,n2))|(![B]: ((~leq(n0,B)|~leq(B,n3))|a_select3(simplex7_init,B,A)=init))))&(![C]: ((~leq(n0,C)|~leq(C,n3))|a_select2(s_values7_init,C)=init)))&(![D]: ((~leq(n0,D)|~leq(D,minus(plus(n1,n2),n1)))|a_select2(s_center7_init,D)=init)))&(~gt(loopcounter,n1)|((pvar1400_init=init&pvar1401_init=init)&pvar1402_init=init)))&(pd0_3|(gt(loopcounter,n1)&((~pvar1400_init=init|~pvar1401_init=init)|~pvar1402_init=init)))),
% 0.22/0.46 inference(formula_renaming,[status(thm)],[f244,f245])).
% 0.22/0.46 fof(f247,plain,(
% 0.22/0.46 ![X0,X1]: (~leq(n0,X0)|~leq(X0,n2)|~leq(n0,X1)|~leq(X1,n3)|a_select3(simplex7_init,X1,X0)=init)),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f246])).
% 0.22/0.46 fof(f248,plain,(
% 0.22/0.46 ![X0]: (~leq(n0,X0)|~leq(X0,n3)|a_select2(s_values7_init,X0)=init)),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f246])).
% 0.22/0.46 fof(f249,plain,(
% 0.22/0.46 ![X0]: (~leq(n0,X0)|~leq(X0,minus(plus(n1,n2),n1))|a_select2(s_center7_init,X0)=init)),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f246])).
% 0.22/0.46 fof(f250,plain,(
% 0.22/0.46 ~gt(loopcounter,n1)|pvar1400_init=init),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f246])).
% 0.22/0.46 fof(f251,plain,(
% 0.22/0.46 ~gt(loopcounter,n1)|pvar1401_init=init),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f246])).
% 0.22/0.46 fof(f252,plain,(
% 0.22/0.46 ~gt(loopcounter,n1)|pvar1402_init=init),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f246])).
% 0.22/0.46 fof(f253,plain,(
% 0.22/0.46 pd0_3|gt(loopcounter,n1)),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f246])).
% 0.22/0.46 fof(f254,plain,(
% 0.22/0.46 pd0_3|~pvar1400_init=init|~pvar1401_init=init|~pvar1402_init=init),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f246])).
% 0.22/0.46 fof(f314,plain,(
% 0.22/0.46 ~pd0_3|(((?[E]: ((leq(n0,E)&leq(E,n2))&(?[F]: ((leq(n0,F)&leq(F,n3))&~a_select3(simplex7_init,F,E)=init))))|(?[G]: ((leq(n0,G)&leq(G,n3))&~a_select2(s_values7_init,G)=init)))|(?[H]: ((leq(n0,H)&leq(H,n2))&~a_select2(s_center7_init,H)=init)))),
% 0.22/0.46 inference(pre_NNF_transformation,[status(esa)],[f245])).
% 0.22/0.46 fof(f315,plain,(
% 0.22/0.46 pd0_5=>((?[E]: ((leq(n0,E)&leq(E,n2))&(?[F]: ((leq(n0,F)&leq(F,n3))&~a_select3(simplex7_init,F,E)=init))))|(?[G]: ((leq(n0,G)&leq(G,n3))&~a_select2(s_values7_init,G)=init)))),
% 0.22/0.46 introduced(predicate_definition,[f314])).
% 0.22/0.46 fof(f316,plain,(
% 0.22/0.46 ~pd0_3|(pd0_5|(?[H]: ((leq(n0,H)&leq(H,n2))&~a_select2(s_center7_init,H)=init)))),
% 0.22/0.46 inference(formula_renaming,[status(thm)],[f314,f315])).
% 0.22/0.46 fof(f317,plain,(
% 0.22/0.46 ~pd0_3|(pd0_5|((leq(n0,sk0_27)&leq(sk0_27,n2))&~a_select2(s_center7_init,sk0_27)=init))),
% 0.22/0.46 inference(skolemization,[status(esa)],[f316])).
% 0.22/0.46 fof(f318,plain,(
% 0.22/0.46 ~pd0_3|pd0_5|leq(n0,sk0_27)),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f317])).
% 0.22/0.46 fof(f319,plain,(
% 0.22/0.46 ~pd0_3|pd0_5|leq(sk0_27,n2)),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f317])).
% 0.22/0.46 fof(f320,plain,(
% 0.22/0.46 ~pd0_3|pd0_5|~a_select2(s_center7_init,sk0_27)=init),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f317])).
% 0.22/0.46 fof(f327,plain,(
% 0.22/0.46 ~pd0_5|((?[E]: ((leq(n0,E)&leq(E,n2))&(?[F]: ((leq(n0,F)&leq(F,n3))&~a_select3(simplex7_init,F,E)=init))))|(?[G]: ((leq(n0,G)&leq(G,n3))&~a_select2(s_values7_init,G)=init)))),
% 0.22/0.46 inference(pre_NNF_transformation,[status(esa)],[f315])).
% 0.22/0.46 fof(f328,plain,(
% 0.22/0.46 ![E]: (pd0_6(E)=>((leq(n0,E)&leq(E,n2))&(?[F]: ((leq(n0,F)&leq(F,n3))&~a_select3(simplex7_init,F,E)=init))))),
% 0.22/0.46 introduced(predicate_definition,[f327])).
% 0.22/0.46 fof(f329,plain,(
% 0.22/0.46 ~pd0_5|((?[E]: pd0_6(E))|(?[G]: ((leq(n0,G)&leq(G,n3))&~a_select2(s_values7_init,G)=init)))),
% 0.22/0.46 inference(formula_renaming,[status(thm)],[f327,f328])).
% 0.22/0.46 fof(f330,plain,(
% 0.22/0.46 ~pd0_5|(pd0_6(sk0_28)|((leq(n0,sk0_29)&leq(sk0_29,n3))&~a_select2(s_values7_init,sk0_29)=init))),
% 0.22/0.46 inference(skolemization,[status(esa)],[f329])).
% 0.22/0.46 fof(f331,plain,(
% 0.22/0.46 ~pd0_5|pd0_6(sk0_28)|leq(n0,sk0_29)),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f330])).
% 0.22/0.46 fof(f332,plain,(
% 0.22/0.46 ~pd0_5|pd0_6(sk0_28)|leq(sk0_29,n3)),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f330])).
% 0.22/0.46 fof(f333,plain,(
% 0.22/0.46 ~pd0_5|pd0_6(sk0_28)|~a_select2(s_values7_init,sk0_29)=init),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f330])).
% 0.22/0.46 fof(f334,plain,(
% 0.22/0.46 ![E]: (~pd0_6(E)|((leq(n0,E)&leq(E,n2))&(?[F]: ((leq(n0,F)&leq(F,n3))&~a_select3(simplex7_init,F,E)=init))))),
% 0.22/0.46 inference(pre_NNF_transformation,[status(esa)],[f328])).
% 0.22/0.46 fof(f335,plain,(
% 0.22/0.46 ![E]: (~pd0_6(E)|((leq(n0,E)&leq(E,n2))&((leq(n0,sk0_30(E))&leq(sk0_30(E),n3))&~a_select3(simplex7_init,sk0_30(E),E)=init)))),
% 0.22/0.46 inference(skolemization,[status(esa)],[f334])).
% 0.22/0.46 fof(f336,plain,(
% 0.22/0.46 ![X0]: (~pd0_6(X0)|leq(n0,X0))),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f335])).
% 0.22/0.46 fof(f337,plain,(
% 0.22/0.46 ![X0]: (~pd0_6(X0)|leq(X0,n2))),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f335])).
% 0.22/0.46 fof(f338,plain,(
% 0.22/0.46 ![X0]: (~pd0_6(X0)|leq(n0,sk0_30(X0)))),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f335])).
% 0.22/0.46 fof(f339,plain,(
% 0.22/0.46 ![X0]: (~pd0_6(X0)|leq(sk0_30(X0),n3))),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f335])).
% 0.22/0.46 fof(f340,plain,(
% 0.22/0.46 ![X0]: (~pd0_6(X0)|~a_select3(simplex7_init,sk0_30(X0),X0)=init)),
% 0.22/0.46 inference(cnf_transformation,[status(esa)],[f335])).
% 0.22/0.46 fof(f341,plain,(
% 0.22/0.46 spl0_0 <=> gt(loopcounter,n1)),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f344,plain,(
% 0.22/0.46 spl0_1 <=> pvar1400_init=init),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f347,plain,(
% 0.22/0.46 ~spl0_0|spl0_1),
% 0.22/0.46 inference(split_clause,[status(thm)],[f250,f341,f344])).
% 0.22/0.46 fof(f348,plain,(
% 0.22/0.46 spl0_2 <=> pvar1401_init=init),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f351,plain,(
% 0.22/0.46 ~spl0_0|spl0_2),
% 0.22/0.46 inference(split_clause,[status(thm)],[f251,f341,f348])).
% 0.22/0.46 fof(f352,plain,(
% 0.22/0.46 spl0_3 <=> pvar1402_init=init),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f355,plain,(
% 0.22/0.46 ~spl0_0|spl0_3),
% 0.22/0.46 inference(split_clause,[status(thm)],[f252,f341,f352])).
% 0.22/0.46 fof(f356,plain,(
% 0.22/0.46 spl0_4 <=> pd0_3),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f359,plain,(
% 0.22/0.46 spl0_4|spl0_0),
% 0.22/0.46 inference(split_clause,[status(thm)],[f253,f356,f341])).
% 0.22/0.46 fof(f360,plain,(
% 0.22/0.46 spl0_4|~spl0_1|~spl0_2|~spl0_3),
% 0.22/0.46 inference(split_clause,[status(thm)],[f254,f356,f344,f348,f352])).
% 0.22/0.46 fof(f361,plain,(
% 0.22/0.46 spl0_5 <=> pd0_5),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f364,plain,(
% 0.22/0.46 spl0_6 <=> leq(n0,sk0_27)),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f365,plain,(
% 0.22/0.46 leq(n0,sk0_27)|~spl0_6),
% 0.22/0.46 inference(component_clause,[status(thm)],[f364])).
% 0.22/0.46 fof(f367,plain,(
% 0.22/0.46 ~spl0_4|spl0_5|spl0_6),
% 0.22/0.46 inference(split_clause,[status(thm)],[f318,f356,f361,f364])).
% 0.22/0.46 fof(f368,plain,(
% 0.22/0.46 spl0_7 <=> leq(sk0_27,n2)),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f371,plain,(
% 0.22/0.46 ~spl0_4|spl0_5|spl0_7),
% 0.22/0.46 inference(split_clause,[status(thm)],[f319,f356,f361,f368])).
% 0.22/0.46 fof(f372,plain,(
% 0.22/0.46 spl0_8 <=> a_select2(s_center7_init,sk0_27)=init),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f375,plain,(
% 0.22/0.46 ~spl0_4|spl0_5|~spl0_8),
% 0.22/0.46 inference(split_clause,[status(thm)],[f320,f356,f361,f372])).
% 0.22/0.46 fof(f376,plain,(
% 0.22/0.46 spl0_9 <=> pd0_6(sk0_28)),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f377,plain,(
% 0.22/0.46 pd0_6(sk0_28)|~spl0_9),
% 0.22/0.46 inference(component_clause,[status(thm)],[f376])).
% 0.22/0.46 fof(f379,plain,(
% 0.22/0.46 spl0_10 <=> leq(n0,sk0_29)),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f380,plain,(
% 0.22/0.46 leq(n0,sk0_29)|~spl0_10),
% 0.22/0.46 inference(component_clause,[status(thm)],[f379])).
% 0.22/0.46 fof(f382,plain,(
% 0.22/0.46 ~spl0_5|spl0_9|spl0_10),
% 0.22/0.46 inference(split_clause,[status(thm)],[f331,f361,f376,f379])).
% 0.22/0.46 fof(f383,plain,(
% 0.22/0.46 spl0_11 <=> leq(sk0_29,n3)),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f386,plain,(
% 0.22/0.46 ~spl0_5|spl0_9|spl0_11),
% 0.22/0.46 inference(split_clause,[status(thm)],[f332,f361,f376,f383])).
% 0.22/0.46 fof(f387,plain,(
% 0.22/0.46 spl0_12 <=> a_select2(s_values7_init,sk0_29)=init),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f390,plain,(
% 0.22/0.46 ~spl0_5|spl0_9|~spl0_12),
% 0.22/0.46 inference(split_clause,[status(thm)],[f333,f361,f376,f387])).
% 0.22/0.46 fof(f396,plain,(
% 0.22/0.46 ![X0]: (~leq(n0,X0)|~leq(X0,pred(plus(n1,n2)))|a_select2(s_center7_init,X0)=init)),
% 0.22/0.46 inference(forward_demodulation,[status(thm)],[f210,f249])).
% 0.22/0.46 fof(f397,plain,(
% 0.22/0.46 ![X0]: (~leq(n0,X0)|~leq(X0,pred(succ(n2)))|a_select2(s_center7_init,X0)=init)),
% 0.22/0.46 inference(forward_demodulation,[status(thm)],[f201,f396])).
% 0.22/0.46 fof(f398,plain,(
% 0.22/0.46 ![X0]: (~leq(n0,X0)|~leq(X0,n2)|a_select2(s_center7_init,X0)=init)),
% 0.22/0.46 inference(forward_demodulation,[status(thm)],[f211,f397])).
% 0.22/0.46 fof(f414,plain,(
% 0.22/0.46 leq(n0,sk0_28)|~spl0_9),
% 0.22/0.46 inference(resolution,[status(thm)],[f336,f377])).
% 0.22/0.46 fof(f423,plain,(
% 0.22/0.46 leq(sk0_28,n2)|~spl0_9),
% 0.22/0.46 inference(resolution,[status(thm)],[f337,f377])).
% 0.22/0.46 fof(f424,plain,(
% 0.22/0.46 leq(n0,sk0_30(sk0_28))|~spl0_9),
% 0.22/0.46 inference(resolution,[status(thm)],[f338,f377])).
% 0.22/0.46 fof(f425,plain,(
% 0.22/0.46 spl0_17 <=> ~leq(n0,X0)|~leq(X0,n2)|a_select3(simplex7_init,sk0_30(sk0_28),X0)=init),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f426,plain,(
% 0.22/0.46 ![X0]: (~leq(n0,X0)|~leq(X0,n2)|a_select3(simplex7_init,sk0_30(sk0_28),X0)=init|~spl0_17)),
% 0.22/0.46 inference(component_clause,[status(thm)],[f425])).
% 0.22/0.46 fof(f428,plain,(
% 0.22/0.46 spl0_18 <=> leq(sk0_30(sk0_28),n3)),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f430,plain,(
% 0.22/0.46 ~leq(sk0_30(sk0_28),n3)|spl0_18),
% 0.22/0.46 inference(component_clause,[status(thm)],[f428])).
% 0.22/0.46 fof(f431,plain,(
% 0.22/0.46 ![X0]: (~leq(n0,X0)|~leq(X0,n2)|~leq(sk0_30(sk0_28),n3)|a_select3(simplex7_init,sk0_30(sk0_28),X0)=init|~spl0_9)),
% 0.22/0.46 inference(resolution,[status(thm)],[f424,f247])).
% 0.22/0.46 fof(f432,plain,(
% 0.22/0.46 spl0_17|~spl0_18|~spl0_9),
% 0.22/0.46 inference(split_clause,[status(thm)],[f431,f425,f428,f376])).
% 0.22/0.46 fof(f451,plain,(
% 0.22/0.46 spl0_23 <=> leq(sk0_28,n2)),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f453,plain,(
% 0.22/0.46 ~leq(sk0_28,n2)|spl0_23),
% 0.22/0.46 inference(component_clause,[status(thm)],[f451])).
% 0.22/0.46 fof(f459,plain,(
% 0.22/0.46 $false|~spl0_9|spl0_23),
% 0.22/0.46 inference(forward_subsumption_resolution,[status(thm)],[f453,f423])).
% 0.22/0.46 fof(f460,plain,(
% 0.22/0.46 ~spl0_9|spl0_23),
% 0.22/0.46 inference(contradiction_clause,[status(thm)],[f459])).
% 0.22/0.46 fof(f461,plain,(
% 0.22/0.46 spl0_25 <=> leq(sk0_29,n2)),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f464,plain,(
% 0.22/0.46 spl0_26 <=> a_select2(s_center7_init,sk0_29)=init),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f467,plain,(
% 0.22/0.46 ~leq(sk0_29,n2)|a_select2(s_center7_init,sk0_29)=init|~spl0_10),
% 0.22/0.46 inference(resolution,[status(thm)],[f380,f398])).
% 0.22/0.46 fof(f468,plain,(
% 0.22/0.46 ~spl0_25|spl0_26|~spl0_10),
% 0.22/0.46 inference(split_clause,[status(thm)],[f467,f461,f464,f379])).
% 0.22/0.46 fof(f469,plain,(
% 0.22/0.46 ~leq(sk0_29,n3)|a_select2(s_values7_init,sk0_29)=init|~spl0_10),
% 0.22/0.46 inference(resolution,[status(thm)],[f380,f248])).
% 0.22/0.46 fof(f470,plain,(
% 0.22/0.46 ~spl0_11|spl0_12|~spl0_10),
% 0.22/0.46 inference(split_clause,[status(thm)],[f469,f383,f387,f379])).
% 0.22/0.46 fof(f471,plain,(
% 0.22/0.46 spl0_27 <=> ~leq(n0,X0)|~leq(X0,n2)|a_select3(simplex7_init,sk0_29,X0)=init),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f474,plain,(
% 0.22/0.46 ![X0]: (~leq(n0,X0)|~leq(X0,n2)|~leq(sk0_29,n3)|a_select3(simplex7_init,sk0_29,X0)=init|~spl0_10)),
% 0.22/0.46 inference(resolution,[status(thm)],[f380,f247])).
% 0.22/0.46 fof(f475,plain,(
% 0.22/0.46 spl0_27|~spl0_11|~spl0_10),
% 0.22/0.46 inference(split_clause,[status(thm)],[f474,f471,f383,f379])).
% 0.22/0.46 fof(f476,plain,(
% 0.22/0.46 ~leq(sk0_27,n2)|a_select2(s_center7_init,sk0_27)=init|~spl0_6),
% 0.22/0.46 inference(resolution,[status(thm)],[f365,f398])).
% 0.22/0.46 fof(f477,plain,(
% 0.22/0.46 ~spl0_7|spl0_8|~spl0_6),
% 0.22/0.46 inference(split_clause,[status(thm)],[f476,f368,f372,f364])).
% 0.22/0.46 fof(f500,plain,(
% 0.22/0.46 leq(sk0_30(sk0_28),n3)|~spl0_9),
% 0.22/0.46 inference(resolution,[status(thm)],[f339,f377])).
% 0.22/0.46 fof(f501,plain,(
% 0.22/0.46 $false|spl0_18|~spl0_9),
% 0.22/0.46 inference(forward_subsumption_resolution,[status(thm)],[f500,f430])).
% 0.22/0.46 fof(f502,plain,(
% 0.22/0.46 spl0_18|~spl0_9),
% 0.22/0.46 inference(contradiction_clause,[status(thm)],[f501])).
% 0.22/0.46 fof(f523,plain,(
% 0.22/0.46 spl0_33 <=> a_select3(simplex7_init,sk0_30(sk0_28),sk0_28)=init),
% 0.22/0.46 introduced(split_symbol_definition)).
% 0.22/0.46 fof(f524,plain,(
% 0.22/0.46 a_select3(simplex7_init,sk0_30(sk0_28),sk0_28)=init|~spl0_33),
% 0.22/0.46 inference(component_clause,[status(thm)],[f523])).
% 0.22/0.46 fof(f526,plain,(
% 0.22/0.46 ~leq(sk0_28,n2)|a_select3(simplex7_init,sk0_30(sk0_28),sk0_28)=init|~spl0_17|~spl0_9),
% 0.22/0.46 inference(resolution,[status(thm)],[f426,f414])).
% 0.22/0.46 fof(f527,plain,(
% 0.22/0.46 ~spl0_23|spl0_33|~spl0_17|~spl0_9),
% 0.22/0.46 inference(split_clause,[status(thm)],[f526,f451,f523,f425,f376])).
% 0.22/0.46 fof(f533,plain,(
% 0.22/0.46 ~pd0_6(sk0_28)|~spl0_33),
% 0.22/0.46 inference(resolution,[status(thm)],[f524,f340])).
% 0.22/0.46 fof(f534,plain,(
% 0.22/0.46 ~spl0_9|~spl0_33),
% 0.22/0.46 inference(split_clause,[status(thm)],[f533,f376,f523])).
% 0.22/0.46 fof(f540,plain,(
% 0.22/0.46 $false),
% 0.22/0.46 inference(sat_refutation,[status(thm)],[f347,f351,f355,f359,f360,f367,f371,f375,f382,f386,f390,f432,f460,f468,f470,f475,f477,f502,f527,f534])).
% 0.22/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.46 % Elapsed time: 0.102256 seconds
% 0.22/0.46 % CPU time: 0.652229 seconds
% 0.22/0.46 % Total memory used: 71.258 MB
% 0.22/0.46 % Net memory used: 70.836 MB
%------------------------------------------------------------------------------