TSTP Solution File: SYN941+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN941+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:53:41 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN941+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n021.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 : Mon Apr 29 22:09:10 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f1,conjecture,(
% 0.14/0.37 (! [B,C] :( q(f(B))=> (? [X,Y] :( ( p(f(Y))=> ( p(X)& ( r(Y)=> ( r(B)& r(C) ) ) ) )& q(X) ) )) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f2,negated_conjecture,(
% 0.14/0.37 ~((! [B,C] :( q(f(B))=> (? [X,Y] :( ( p(f(Y))=> ( p(X)& ( r(Y)=> ( r(B)& r(C) ) ) ) )& q(X) ) )) ))),
% 0.14/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.37 fof(f3,plain,(
% 0.14/0.37 (?[B,C]: (q(f(B))&(![X,Y]: ((p(f(Y))&(~p(X)|(r(Y)&(~r(B)|~r(C)))))|~q(X)))))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.37 fof(f4,plain,(
% 0.14/0.37 ?[B]: (q(f(B))&(?[C]: ![X]: (((![Y]: p(f(Y)))&(~p(X)|((![Y]: r(Y))&(~r(B)|~r(C)))))|~q(X))))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f3])).
% 0.14/0.37 fof(f5,plain,(
% 0.14/0.37 (q(f(sk0_0))&![X]: (((![Y]: p(f(Y)))&(~p(X)|((![Y]: r(Y))&(~r(sk0_0)|~r(sk0_1)))))|~q(X)))),
% 0.14/0.37 inference(skolemization,[status(esa)],[f4])).
% 0.14/0.37 fof(f6,plain,(
% 0.14/0.37 q(f(sk0_0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.37 fof(f7,plain,(
% 0.14/0.37 ![X0,X1]: (p(f(X0))|~q(X1))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.37 fof(f8,plain,(
% 0.14/0.37 ![X0,X1]: (~p(X0)|r(X1)|~q(X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.37 fof(f9,plain,(
% 0.14/0.37 ![X0]: (~p(X0)|~r(sk0_0)|~r(sk0_1)|~q(X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.37 fof(f10,plain,(
% 0.14/0.37 spl0_0 <=> p(f(X0))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f11,plain,(
% 0.14/0.37 ![X0]: (p(f(X0))|~spl0_0)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f10])).
% 0.14/0.37 fof(f13,plain,(
% 0.14/0.37 spl0_1 <=> ~q(X1)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f14,plain,(
% 0.14/0.37 ![X0]: (~q(X0)|~spl0_1)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f13])).
% 0.14/0.37 fof(f16,plain,(
% 0.14/0.37 spl0_0|spl0_1),
% 0.14/0.37 inference(split_clause,[status(thm)],[f7,f10,f13])).
% 0.14/0.37 fof(f17,plain,(
% 0.14/0.37 spl0_2 <=> ~p(X0)|~q(X0)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f18,plain,(
% 0.14/0.37 ![X0]: (~p(X0)|~q(X0)|~spl0_2)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f17])).
% 0.14/0.37 fof(f20,plain,(
% 0.14/0.37 spl0_3 <=> r(X1)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f21,plain,(
% 0.14/0.37 ![X0]: (r(X0)|~spl0_3)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f20])).
% 0.14/0.37 fof(f23,plain,(
% 0.14/0.37 spl0_2|spl0_3),
% 0.14/0.37 inference(split_clause,[status(thm)],[f8,f17,f20])).
% 0.14/0.37 fof(f24,plain,(
% 0.14/0.37 spl0_4 <=> r(sk0_0)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f26,plain,(
% 0.14/0.37 ~r(sk0_0)|spl0_4),
% 0.14/0.37 inference(component_clause,[status(thm)],[f24])).
% 0.14/0.37 fof(f27,plain,(
% 0.14/0.37 spl0_5 <=> r(sk0_1)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f29,plain,(
% 0.14/0.37 ~r(sk0_1)|spl0_5),
% 0.14/0.37 inference(component_clause,[status(thm)],[f27])).
% 0.14/0.37 fof(f30,plain,(
% 0.14/0.37 spl0_2|~spl0_4|~spl0_5),
% 0.14/0.37 inference(split_clause,[status(thm)],[f9,f17,f24,f27])).
% 0.14/0.37 fof(f31,plain,(
% 0.14/0.37 ![X0]: (~q(f(X0))|~spl0_2|~spl0_0)),
% 0.14/0.37 inference(resolution,[status(thm)],[f18,f11])).
% 0.14/0.37 fof(f32,plain,(
% 0.14/0.37 $false|~spl0_2|~spl0_0),
% 0.14/0.37 inference(backward_subsumption_resolution,[status(thm)],[f6,f31])).
% 0.14/0.37 fof(f33,plain,(
% 0.14/0.37 ~spl0_2|~spl0_0),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f32])).
% 0.14/0.37 fof(f34,plain,(
% 0.14/0.37 $false|~spl0_3|spl0_4),
% 0.14/0.37 inference(backward_subsumption_resolution,[status(thm)],[f26,f21])).
% 0.14/0.37 fof(f35,plain,(
% 0.14/0.37 ~spl0_3|spl0_4),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f34])).
% 0.14/0.37 fof(f36,plain,(
% 0.14/0.37 $false|~spl0_1),
% 0.14/0.37 inference(backward_subsumption_resolution,[status(thm)],[f6,f14])).
% 0.14/0.37 fof(f37,plain,(
% 0.14/0.37 ~spl0_1),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f36])).
% 0.14/0.37 fof(f38,plain,(
% 0.14/0.37 $false|~spl0_3|spl0_5),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f29,f21])).
% 0.14/0.37 fof(f39,plain,(
% 0.14/0.37 ~spl0_3|spl0_5),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f38])).
% 0.14/0.37 fof(f40,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(sat_refutation,[status(thm)],[f16,f23,f30,f33,f35,f37,f39])).
% 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.37 % Elapsed time: 0.016789 seconds
% 0.14/0.37 % CPU time: 0.017521 seconds
% 0.14/0.37 % Total memory used: 3.649 MB
% 0.14/0.37 % Net memory used: 3.553 MB
%------------------------------------------------------------------------------