TSTP Solution File: SYN319+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:46:29 EDT 2023
% Result : Theorem 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.17 % Problem : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% 0.05/0.18 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.38 % Computer : n024.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8042.1875MB
% 0.11/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Tue May 30 10:26:33 EDT 2023
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V3.5.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f1,conjecture,(
% 0.11/0.39 (? [X,Y] :(! [Z1,Z2] :( ( ( big_f(Y)=> big_g(Z1) )=> ( big_g(X)& ~ big_f(Z1) ) )=> ( ( ( big_f(X)| big_g(X) )=> big_h(X) )=> ( big_h(Z2)& ( big_h(Y)=> ( ( big_f(Z2)| big_g(Z2) )=> big_h(Z2) ) ) ) ) ) ))),
% 0.11/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f2,negated_conjecture,(
% 0.11/0.39 ~((? [X,Y] :(! [Z1,Z2] :( ( ( big_f(Y)=> big_g(Z1) )=> ( big_g(X)& ~ big_f(Z1) ) )=> ( ( ( big_f(X)| big_g(X) )=> big_h(X) )=> ( big_h(Z2)& ( big_h(Y)=> ( ( big_f(Z2)| big_g(Z2) )=> big_h(Z2) ) ) ) ) ) )))),
% 0.11/0.39 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.39 fof(f3,plain,(
% 0.11/0.39 (![X,Y]: ?[Z1,Z2]: (((big_f(Y)&~big_g(Z1))|(big_g(X)&~big_f(Z1)))&(((~big_f(X)&~big_g(X))|big_h(X))&(~big_h(Z2)|(big_h(Y)&((big_f(Z2)|big_g(Z2))&~big_h(Z2)))))))),
% 0.11/0.39 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.11/0.39 fof(f4,plain,(
% 0.11/0.39 ![Y,Z1]: (pd0_0(Z1,Y)=>(big_f(Y)&~big_g(Z1)))),
% 0.11/0.39 introduced(predicate_definition,[f3])).
% 0.11/0.39 fof(f5,plain,(
% 0.11/0.39 ![X,Y]: ?[Z1,Z2]: ((pd0_0(Z1,Y)|(big_g(X)&~big_f(Z1)))&(((~big_f(X)&~big_g(X))|big_h(X))&(~big_h(Z2)|(big_h(Y)&((big_f(Z2)|big_g(Z2))&~big_h(Z2))))))),
% 0.11/0.39 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.11/0.39 fof(f6,plain,(
% 0.11/0.39 ((![Y]: ?[Z1]: pd0_0(Z1,Y))|((![X]: big_g(X))&(?[Z1]: ~big_f(Z1))))&((![X]: ((~big_f(X)&~big_g(X))|big_h(X)))&((?[Z2]: ~big_h(Z2))|((![Y]: big_h(Y))&(?[Z2]: ((big_f(Z2)|big_g(Z2))&~big_h(Z2))))))),
% 0.11/0.39 inference(miniscoping,[status(esa)],[f5])).
% 0.11/0.39 fof(f7,plain,(
% 0.11/0.39 ((![Y]: pd0_0(sk0_0(Y),Y))|((![X]: big_g(X))&~big_f(sk0_1)))&((![X]: ((~big_f(X)&~big_g(X))|big_h(X)))&(~big_h(sk0_2)|((![Y]: big_h(Y))&((big_f(sk0_3)|big_g(sk0_3))&~big_h(sk0_3)))))),
% 0.11/0.39 inference(skolemization,[status(esa)],[f6])).
% 0.11/0.39 fof(f8,plain,(
% 0.11/0.39 ![X0,X1]: (pd0_0(sk0_0(X0),X0)|big_g(X1))),
% 0.11/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.11/0.39 fof(f10,plain,(
% 0.11/0.39 ![X0]: (~big_f(X0)|big_h(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.11/0.39 fof(f11,plain,(
% 0.11/0.39 ![X0]: (~big_g(X0)|big_h(X0))),
% 0.11/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.11/0.39 fof(f14,plain,(
% 0.11/0.39 ~big_h(sk0_2)|~big_h(sk0_3)),
% 0.11/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.11/0.39 fof(f15,plain,(
% 0.11/0.39 ![Y,Z1]: (~pd0_0(Z1,Y)|(big_f(Y)&~big_g(Z1)))),
% 0.11/0.39 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.11/0.39 fof(f16,plain,(
% 0.11/0.39 ![X0,X1]: (~pd0_0(X0,X1)|big_f(X1))),
% 0.11/0.39 inference(cnf_transformation,[status(esa)],[f15])).
% 0.11/0.39 fof(f18,plain,(
% 0.11/0.39 spl0_0 <=> pd0_0(sk0_0(X0),X0)),
% 0.11/0.39 introduced(split_symbol_definition)).
% 0.11/0.39 fof(f19,plain,(
% 0.11/0.39 ![X0]: (pd0_0(sk0_0(X0),X0)|~spl0_0)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f18])).
% 0.11/0.39 fof(f21,plain,(
% 0.11/0.39 spl0_1 <=> big_g(X1)),
% 0.11/0.39 introduced(split_symbol_definition)).
% 0.11/0.39 fof(f22,plain,(
% 0.11/0.39 ![X0]: (big_g(X0)|~spl0_1)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f21])).
% 0.11/0.39 fof(f24,plain,(
% 0.11/0.39 spl0_0|spl0_1),
% 0.11/0.39 inference(split_clause,[status(thm)],[f8,f18,f21])).
% 0.11/0.39 fof(f29,plain,(
% 0.11/0.39 spl0_3 <=> big_h(sk0_2)),
% 0.11/0.39 introduced(split_symbol_definition)).
% 0.11/0.39 fof(f31,plain,(
% 0.11/0.39 ~big_h(sk0_2)|spl0_3),
% 0.11/0.39 inference(component_clause,[status(thm)],[f29])).
% 0.11/0.39 fof(f43,plain,(
% 0.11/0.39 spl0_7 <=> big_h(sk0_3)),
% 0.11/0.39 introduced(split_symbol_definition)).
% 0.11/0.39 fof(f45,plain,(
% 0.11/0.39 ~big_h(sk0_3)|spl0_7),
% 0.11/0.39 inference(component_clause,[status(thm)],[f43])).
% 0.11/0.39 fof(f46,plain,(
% 0.11/0.39 ~spl0_3|~spl0_7),
% 0.11/0.39 inference(split_clause,[status(thm)],[f14,f29,f43])).
% 0.11/0.39 fof(f48,plain,(
% 0.11/0.39 ~big_f(sk0_3)|spl0_7),
% 0.11/0.39 inference(resolution,[status(thm)],[f45,f10])).
% 0.11/0.39 fof(f50,plain,(
% 0.11/0.39 ~big_g(sk0_2)|spl0_3),
% 0.11/0.39 inference(resolution,[status(thm)],[f31,f11])).
% 0.11/0.39 fof(f51,plain,(
% 0.11/0.39 ~big_f(sk0_2)|spl0_3),
% 0.11/0.39 inference(resolution,[status(thm)],[f31,f10])).
% 0.11/0.39 fof(f52,plain,(
% 0.11/0.39 ![X0]: (~pd0_0(X0,sk0_3)|spl0_7)),
% 0.11/0.39 inference(resolution,[status(thm)],[f48,f16])).
% 0.11/0.39 fof(f53,plain,(
% 0.11/0.39 ![X0]: (~pd0_0(X0,sk0_2)|spl0_3)),
% 0.11/0.39 inference(resolution,[status(thm)],[f51,f16])).
% 0.11/0.39 fof(f54,plain,(
% 0.11/0.39 $false|~spl0_0|spl0_3),
% 0.11/0.39 inference(resolution,[status(thm)],[f19,f53])).
% 0.11/0.39 fof(f55,plain,(
% 0.11/0.39 ~spl0_0|spl0_3),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f54])).
% 0.11/0.39 fof(f56,plain,(
% 0.11/0.39 $false|~spl0_0|spl0_7),
% 0.11/0.39 inference(resolution,[status(thm)],[f19,f52])).
% 0.11/0.39 fof(f57,plain,(
% 0.11/0.39 ~spl0_0|spl0_7),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f56])).
% 0.11/0.39 fof(f58,plain,(
% 0.11/0.39 $false|~spl0_1|spl0_3),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f50,f22])).
% 0.11/0.39 fof(f59,plain,(
% 0.11/0.39 ~spl0_1|spl0_3),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f58])).
% 0.11/0.39 fof(f60,plain,(
% 0.11/0.39 ![X0]: (big_h(X0)|~spl0_1)),
% 0.11/0.39 inference(backward_subsumption_resolution,[status(thm)],[f11,f22])).
% 0.11/0.39 fof(f62,plain,(
% 0.11/0.39 $false|~spl0_1|spl0_7),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f45,f60])).
% 0.11/0.39 fof(f63,plain,(
% 0.11/0.39 ~spl0_1|spl0_7),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f62])).
% 0.11/0.39 fof(f64,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(sat_refutation,[status(thm)],[f24,f46,f55,f57,f59,f63])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.62 % Elapsed time: 0.009314 seconds
% 0.16/0.62 % CPU time: 0.010418 seconds
% 0.16/0.62 % Memory used: 487.492 KB
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