TSTP Solution File: SYN940+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN940+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:48:27 EDT 2023
% Result : Theorem 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN940+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n018.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 10:36:55 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 0.11/0.35 % Refutation found
% 0.11/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.35 fof(f1,conjecture,(
% 0.11/0.35 (! [B,C] :( (! [Z] : q(f(Z)))=> (? [X,Y] :( ( p(f(Y))=> ( p(X)& ( r(Y)=> ( r(B)& r(C) ) ) ) )& q(X) ) )) )),
% 0.11/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.35 fof(f2,negated_conjecture,(
% 0.11/0.35 ~((! [B,C] :( (! [Z] : q(f(Z)))=> (? [X,Y] :( ( p(f(Y))=> ( p(X)& ( r(Y)=> ( r(B)& r(C) ) ) ) )& q(X) ) )) ))),
% 0.11/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.35 fof(f3,plain,(
% 0.11/0.35 (?[B,C]: ((![Z]: q(f(Z)))&(![X,Y]: ((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X)))))),
% 0.11/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.11/0.35 fof(f4,plain,(
% 0.11/0.35 (![Z]: q(f(Z)))&(?[B,C]: ![X]: (((![Y]: p(f(Y)))&(~p(X)|((![Y]: r(Y))&(~r(B)|~r(C)))))|~q(X)))),
% 0.11/0.35 inference(miniscoping,[status(esa)],[f3])).
% 0.11/0.35 fof(f5,plain,(
% 0.11/0.35 (![Z]: q(f(Z)))&![X]: (((![Y]: p(f(Y)))&(~p(X)|((![Y]: r(Y))&(~r(sk0_0)|~r(sk0_1)))))|~q(X))),
% 0.11/0.35 inference(skolemization,[status(esa)],[f4])).
% 0.11/0.35 fof(f6,plain,(
% 0.11/0.35 ![X0]: (q(f(X0)))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.11/0.35 fof(f7,plain,(
% 0.11/0.35 ![X0,X1]: (p(f(X0))|~q(X1))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.11/0.35 fof(f8,plain,(
% 0.11/0.35 ![X0,X1]: (~p(X0)|r(X1)|~q(X0))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.11/0.35 fof(f9,plain,(
% 0.11/0.35 ![X0]: (~p(X0)|~r(sk0_0)|~r(sk0_1)|~q(X0))),
% 0.11/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.11/0.35 fof(f10,plain,(
% 0.11/0.35 spl0_0 <=> p(f(X0))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f11,plain,(
% 0.11/0.35 ![X0]: (p(f(X0))|~spl0_0)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f10])).
% 0.11/0.35 fof(f13,plain,(
% 0.11/0.35 spl0_1 <=> ~q(X1)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f14,plain,(
% 0.11/0.35 ![X0]: (~q(X0)|~spl0_1)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f13])).
% 0.11/0.35 fof(f16,plain,(
% 0.11/0.35 spl0_0|spl0_1),
% 0.11/0.35 inference(split_clause,[status(thm)],[f7,f10,f13])).
% 0.11/0.35 fof(f17,plain,(
% 0.11/0.35 spl0_2 <=> ~p(X0)|~q(X0)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f18,plain,(
% 0.11/0.35 ![X0]: (~p(X0)|~q(X0)|~spl0_2)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f17])).
% 0.11/0.35 fof(f20,plain,(
% 0.11/0.35 spl0_3 <=> r(X1)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f21,plain,(
% 0.11/0.35 ![X0]: (r(X0)|~spl0_3)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f20])).
% 0.11/0.35 fof(f23,plain,(
% 0.11/0.35 spl0_2|spl0_3),
% 0.11/0.35 inference(split_clause,[status(thm)],[f8,f17,f20])).
% 0.11/0.35 fof(f24,plain,(
% 0.11/0.35 spl0_4 <=> r(sk0_0)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f26,plain,(
% 0.11/0.35 ~r(sk0_0)|spl0_4),
% 0.11/0.35 inference(component_clause,[status(thm)],[f24])).
% 0.11/0.35 fof(f27,plain,(
% 0.11/0.35 spl0_5 <=> r(sk0_1)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f29,plain,(
% 0.11/0.35 ~r(sk0_1)|spl0_5),
% 0.11/0.35 inference(component_clause,[status(thm)],[f27])).
% 0.11/0.35 fof(f30,plain,(
% 0.11/0.35 spl0_2|~spl0_4|~spl0_5),
% 0.11/0.35 inference(split_clause,[status(thm)],[f9,f17,f24,f27])).
% 0.11/0.35 fof(f31,plain,(
% 0.11/0.35 ![X0]: (~q(f(X0))|~spl0_0|~spl0_2)),
% 0.11/0.35 inference(resolution,[status(thm)],[f11,f18])).
% 0.11/0.35 fof(f32,plain,(
% 0.11/0.35 $false|~spl0_0|~spl0_2),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f31,f6])).
% 0.11/0.35 fof(f33,plain,(
% 0.11/0.35 ~spl0_0|~spl0_2),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f32])).
% 0.11/0.35 fof(f34,plain,(
% 0.11/0.35 $false|~spl0_3|spl0_4),
% 0.11/0.35 inference(backward_subsumption_resolution,[status(thm)],[f26,f21])).
% 0.11/0.35 fof(f35,plain,(
% 0.11/0.35 ~spl0_3|spl0_4),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f34])).
% 0.11/0.35 fof(f36,plain,(
% 0.11/0.35 $false|~spl0_1),
% 0.11/0.35 inference(backward_subsumption_resolution,[status(thm)],[f6,f14])).
% 0.11/0.35 fof(f37,plain,(
% 0.11/0.35 ~spl0_1),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f36])).
% 0.11/0.35 fof(f38,plain,(
% 0.11/0.35 $false|~spl0_3|spl0_5),
% 0.11/0.35 inference(backward_subsumption_resolution,[status(thm)],[f29,f21])).
% 0.11/0.35 fof(f39,plain,(
% 0.11/0.35 ~spl0_3|spl0_5),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f38])).
% 0.11/0.35 fof(f40,plain,(
% 0.11/0.35 $false),
% 0.11/0.35 inference(sat_refutation,[status(thm)],[f16,f23,f30,f33,f35,f37,f39])).
% 0.11/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.57 % Elapsed time: 0.012652 seconds
% 0.16/0.57 % CPU time: 0.011690 seconds
% 0.16/0.57 % Memory used: 1.772 MB
%------------------------------------------------------------------------------