TSTP Solution File: SYN939+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN939+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : Wed May 31 12:48:27 EDT 2023
% Result : Theorem 0.16s 0.32s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SYN939+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:25:34 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.16/0.32 % Refutation found
% 0.16/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.32 fof(f1,conjecture,(
% 0.16/0.32 (! [C,B] :( (! [Z] : q(f(Z)))=> (? [X,Y] :( ( p(f(Y))=> p(X) )& ( r(Y)=> ( r(B)& r(C) ) )& q(X) ) )) )),
% 0.16/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.32 fof(f2,negated_conjecture,(
% 0.16/0.32 ~((! [C,B] :( (! [Z] : q(f(Z)))=> (? [X,Y] :( ( p(f(Y))=> p(X) )& ( r(Y)=> ( r(B)& r(C) ) )& q(X) ) )) ))),
% 0.16/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.16/0.32 fof(f3,plain,(
% 0.16/0.32 (?[C,B]: ((![Z]: q(f(Z)))&(![X,Y]: (((p(f(Y))&~p(X))|(r(Y)&(~r(B)|~r(C))))|~q(X)))))),
% 0.16/0.32 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.16/0.32 fof(f4,plain,(
% 0.16/0.32 ![X,Y]: (pd0_0(Y,X)=>(p(f(Y))&~p(X)))),
% 0.16/0.32 introduced(predicate_definition,[f3])).
% 0.16/0.32 fof(f5,plain,(
% 0.16/0.32 ?[C,B]: ((![Z]: q(f(Z)))&(![X,Y]: ((pd0_0(Y,X)|(r(Y)&(~r(B)|~r(C))))|~q(X))))),
% 0.16/0.32 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.16/0.32 fof(f6,plain,(
% 0.16/0.32 (![Z]: q(f(Z)))&(?[C,B]: ![X]: ((![Y]: (pd0_0(Y,X)|(r(Y)&(~r(B)|~r(C)))))|~q(X)))),
% 0.16/0.32 inference(miniscoping,[status(esa)],[f5])).
% 0.16/0.32 fof(f7,plain,(
% 0.16/0.32 (![Z]: q(f(Z)))&![X]: ((![Y]: (pd0_0(Y,X)|(r(Y)&(~r(sk0_1)|~r(sk0_0)))))|~q(X))),
% 0.16/0.32 inference(skolemization,[status(esa)],[f6])).
% 0.16/0.32 fof(f8,plain,(
% 0.16/0.32 ![X0]: (q(f(X0)))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.16/0.32 fof(f9,plain,(
% 0.16/0.32 ![X0,X1]: (pd0_0(X0,X1)|r(X0)|~q(X1))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.16/0.32 fof(f10,plain,(
% 0.16/0.32 ![X0,X1]: (pd0_0(X0,X1)|~r(sk0_1)|~r(sk0_0)|~q(X1))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.16/0.32 fof(f11,plain,(
% 0.16/0.32 ![X,Y]: (~pd0_0(Y,X)|(p(f(Y))&~p(X)))),
% 0.16/0.32 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.16/0.32 fof(f12,plain,(
% 0.16/0.32 ![X0,X1]: (~pd0_0(X0,X1)|p(f(X0)))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.32 fof(f13,plain,(
% 0.16/0.32 ![X0,X1]: (~pd0_0(X0,X1)|~p(X1))),
% 0.16/0.32 inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.32 fof(f14,plain,(
% 0.16/0.32 spl0_0 <=> pd0_0(X0,X1)|~q(X1)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f15,plain,(
% 0.16/0.32 ![X0,X1]: (pd0_0(X0,X1)|~q(X1)|~spl0_0)),
% 0.16/0.32 inference(component_clause,[status(thm)],[f14])).
% 0.16/0.32 fof(f17,plain,(
% 0.16/0.32 spl0_1 <=> r(sk0_1)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f19,plain,(
% 0.16/0.32 ~r(sk0_1)|spl0_1),
% 0.16/0.32 inference(component_clause,[status(thm)],[f17])).
% 0.16/0.32 fof(f20,plain,(
% 0.16/0.32 spl0_2 <=> r(sk0_0)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f22,plain,(
% 0.16/0.32 ~r(sk0_0)|spl0_2),
% 0.16/0.32 inference(component_clause,[status(thm)],[f20])).
% 0.16/0.32 fof(f23,plain,(
% 0.16/0.32 spl0_0|~spl0_1|~spl0_2),
% 0.16/0.32 inference(split_clause,[status(thm)],[f10,f14,f17,f20])).
% 0.16/0.32 fof(f24,plain,(
% 0.16/0.32 ![X0]: (pd0_0(sk0_0,X0)|~q(X0)|spl0_2)),
% 0.16/0.32 inference(resolution,[status(thm)],[f22,f9])).
% 0.16/0.32 fof(f25,plain,(
% 0.16/0.32 spl0_3 <=> ~q(X0)),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f26,plain,(
% 0.16/0.32 ![X0]: (~q(X0)|~spl0_3)),
% 0.16/0.32 inference(component_clause,[status(thm)],[f25])).
% 0.16/0.32 fof(f28,plain,(
% 0.16/0.32 spl0_4 <=> p(f(sk0_0))),
% 0.16/0.32 introduced(split_symbol_definition)).
% 0.16/0.32 fof(f29,plain,(
% 0.16/0.32 p(f(sk0_0))|~spl0_4),
% 0.16/0.32 inference(component_clause,[status(thm)],[f28])).
% 0.16/0.32 fof(f30,plain,(
% 0.16/0.32 ~p(f(sk0_0))|spl0_4),
% 0.16/0.32 inference(component_clause,[status(thm)],[f28])).
% 0.16/0.32 fof(f31,plain,(
% 0.16/0.32 ![X0]: (~q(X0)|p(f(sk0_0))|spl0_2)),
% 0.16/0.32 inference(resolution,[status(thm)],[f24,f12])).
% 0.16/0.32 fof(f32,plain,(
% 0.16/0.32 spl0_3|spl0_4|spl0_2),
% 0.16/0.32 inference(split_clause,[status(thm)],[f31,f25,f28,f20])).
% 0.16/0.32 fof(f33,plain,(
% 0.16/0.32 ![X0]: (pd0_0(sk0_1,X0)|~q(X0)|spl0_1)),
% 0.16/0.32 inference(resolution,[status(thm)],[f19,f9])).
% 0.16/0.32 fof(f34,plain,(
% 0.16/0.32 ![X0]: (~pd0_0(X0,f(sk0_0))|~spl0_4)),
% 0.16/0.32 inference(resolution,[status(thm)],[f29,f13])).
% 0.16/0.32 fof(f35,plain,(
% 0.16/0.32 ![X0]: (pd0_0(sk0_1,f(X0))|spl0_1)),
% 0.16/0.32 inference(resolution,[status(thm)],[f33,f8])).
% 0.16/0.32 fof(f38,plain,(
% 0.16/0.32 $false|~spl0_3),
% 0.16/0.32 inference(backward_subsumption_resolution,[status(thm)],[f8,f26])).
% 0.16/0.32 fof(f39,plain,(
% 0.16/0.32 ~spl0_3),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f38])).
% 0.16/0.32 fof(f41,plain,(
% 0.16/0.32 ![X0,X1]: (pd0_0(X0,f(X1))|~spl0_0)),
% 0.16/0.32 inference(resolution,[status(thm)],[f15,f8])).
% 0.16/0.32 fof(f42,plain,(
% 0.16/0.32 $false|~spl0_0|~spl0_4),
% 0.16/0.32 inference(backward_subsumption_resolution,[status(thm)],[f34,f41])).
% 0.16/0.32 fof(f43,plain,(
% 0.16/0.32 ~spl0_0|~spl0_4),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f42])).
% 0.16/0.32 fof(f47,plain,(
% 0.16/0.32 ~q(f(sk0_0))|~spl0_4|spl0_2),
% 0.16/0.32 inference(resolution,[status(thm)],[f34,f24])).
% 0.16/0.32 fof(f48,plain,(
% 0.16/0.32 $false|~spl0_4|spl0_2),
% 0.16/0.32 inference(forward_subsumption_resolution,[status(thm)],[f47,f8])).
% 0.16/0.32 fof(f49,plain,(
% 0.16/0.32 ~spl0_4|spl0_2),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f48])).
% 0.16/0.32 fof(f50,plain,(
% 0.16/0.32 ![X0]: (p(f(X0))|~spl0_0)),
% 0.16/0.32 inference(resolution,[status(thm)],[f41,f12])).
% 0.16/0.32 fof(f51,plain,(
% 0.16/0.32 $false|~spl0_0|spl0_4),
% 0.16/0.32 inference(backward_subsumption_resolution,[status(thm)],[f30,f50])).
% 0.16/0.32 fof(f52,plain,(
% 0.16/0.32 ~spl0_0|spl0_4),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f51])).
% 0.16/0.32 fof(f53,plain,(
% 0.16/0.32 p(f(sk0_1))|spl0_1),
% 0.16/0.32 inference(resolution,[status(thm)],[f35,f12])).
% 0.16/0.32 fof(f55,plain,(
% 0.16/0.32 ![X0]: (~pd0_0(X0,f(sk0_1))|spl0_1)),
% 0.16/0.32 inference(resolution,[status(thm)],[f53,f13])).
% 0.16/0.32 fof(f57,plain,(
% 0.16/0.32 $false|spl0_1),
% 0.16/0.32 inference(resolution,[status(thm)],[f55,f35])).
% 0.16/0.32 fof(f58,plain,(
% 0.16/0.32 spl0_1),
% 0.16/0.32 inference(contradiction_clause,[status(thm)],[f57])).
% 0.16/0.32 fof(f59,plain,(
% 0.16/0.32 $false),
% 0.16/0.32 inference(sat_refutation,[status(thm)],[f23,f32,f39,f43,f49,f52,f58])).
% 0.16/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.54 % Elapsed time: 0.012063 seconds
% 0.16/0.54 % CPU time: 0.010276 seconds
% 0.16/0.54 % Memory used: 480.973 KB
%------------------------------------------------------------------------------