TSTP Solution File: SYN069+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:45:53 EDT 2023
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN069+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 10:21:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f1,axiom,(
% 0.12/0.35 (! [X] :( ( big_f(X)& (! [Y] :( ( big_g(Y)& big_h(X,Y) )=> big_j(X,Y) ) ))=> (! [Y1] :( big_g(Y1)& big_h(X,Y1)& big_k(Y1) ) )) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f2,axiom,(
% 0.12/0.35 ~ (? [Y] :( big_l(Y)& big_k(Y) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f3,axiom,(
% 0.12/0.35 (? [X] :( big_f(X)& (! [Y] :( big_h(X,Y)=> big_l(Y) ))& (! [Y1] :( ( big_g(Y1)& big_h(X,Y1) )=> big_j(X,Y1) ) )) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f4,conjecture,(
% 0.12/0.35 (? [X] :( big_f(X)& ~ (? [Y] :( big_g(Y)& big_h(X,Y) ) )) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f5,negated_conjecture,(
% 0.12/0.35 ~((? [X] :( big_f(X)& ~ (? [Y] :( big_g(Y)& big_h(X,Y) ) )) ))),
% 0.12/0.35 inference(negated_conjecture,[status(cth)],[f4])).
% 0.12/0.35 fof(f6,plain,(
% 0.12/0.35 ![X]: ((~big_f(X)|(?[Y]: ((big_g(Y)&big_h(X,Y))&~big_j(X,Y))))|(![Y1]: ((big_g(Y1)&big_h(X,Y1))&big_k(Y1))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.12/0.35 fof(f7,plain,(
% 0.12/0.35 ![X,Y]: (pd0_0(Y,X)=>((big_g(Y)&big_h(X,Y))&~big_j(X,Y)))),
% 0.12/0.35 introduced(predicate_definition,[f6])).
% 0.12/0.35 fof(f8,plain,(
% 0.12/0.35 ![X]: ((~big_f(X)|(?[Y]: pd0_0(Y,X)))|(![Y1]: ((big_g(Y1)&big_h(X,Y1))&big_k(Y1))))),
% 0.12/0.35 inference(formula_renaming,[status(thm)],[f6,f7])).
% 0.12/0.35 fof(f9,plain,(
% 0.12/0.35 ![X]: ((~big_f(X)|(?[Y]: pd0_0(Y,X)))|(((![Y1]: big_g(Y1))&(![Y1]: big_h(X,Y1)))&(![Y1]: big_k(Y1))))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f8])).
% 0.12/0.35 fof(f10,plain,(
% 0.12/0.35 ![X]: ((~big_f(X)|pd0_0(sk0_0(X),X))|(((![Y1]: big_g(Y1))&(![Y1]: big_h(X,Y1)))&(![Y1]: big_k(Y1))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f9])).
% 0.12/0.35 fof(f13,plain,(
% 0.12/0.35 ![X0,X1]: (~big_f(X0)|pd0_0(sk0_0(X0),X0)|big_k(X1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f10])).
% 0.12/0.35 fof(f14,plain,(
% 0.12/0.35 (![Y]: (~big_l(Y)|~big_k(Y)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.35 fof(f15,plain,(
% 0.12/0.35 ![X0]: (~big_l(X0)|~big_k(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f14])).
% 0.12/0.35 fof(f16,plain,(
% 0.12/0.35 ?[X]: ((big_f(X)&(![Y]: (~big_h(X,Y)|big_l(Y))))&(![Y1]: ((~big_g(Y1)|~big_h(X,Y1))|big_j(X,Y1))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.12/0.35 fof(f17,plain,(
% 0.12/0.35 ((big_f(sk0_1)&(![Y]: (~big_h(sk0_1,Y)|big_l(Y))))&(![Y1]: ((~big_g(Y1)|~big_h(sk0_1,Y1))|big_j(sk0_1,Y1))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f16])).
% 0.12/0.35 fof(f18,plain,(
% 0.12/0.35 big_f(sk0_1)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.35 fof(f19,plain,(
% 0.12/0.35 ![X0]: (~big_h(sk0_1,X0)|big_l(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.35 fof(f20,plain,(
% 0.12/0.35 ![X0]: (~big_g(X0)|~big_h(sk0_1,X0)|big_j(sk0_1,X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.35 fof(f21,plain,(
% 0.12/0.35 (![X]: (~big_f(X)|(?[Y]: (big_g(Y)&big_h(X,Y)))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.12/0.35 fof(f22,plain,(
% 0.12/0.35 ![X]: (~big_f(X)|(big_g(sk0_2(X))&big_h(X,sk0_2(X))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f21])).
% 0.12/0.35 fof(f24,plain,(
% 0.12/0.35 ![X0]: (~big_f(X0)|big_h(X0,sk0_2(X0)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f22])).
% 0.12/0.35 fof(f25,plain,(
% 0.12/0.35 ![X,Y]: (~pd0_0(Y,X)|((big_g(Y)&big_h(X,Y))&~big_j(X,Y)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f26,plain,(
% 0.12/0.35 ![X0,X1]: (~pd0_0(X0,X1)|big_g(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.35 fof(f27,plain,(
% 0.12/0.35 ![X0,X1]: (~pd0_0(X0,X1)|big_h(X1,X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.35 fof(f28,plain,(
% 0.12/0.35 ![X0,X1]: (~pd0_0(X0,X1)|~big_j(X1,X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.35 fof(f29,plain,(
% 0.12/0.35 spl0_0 <=> ~big_f(X0)|pd0_0(sk0_0(X0),X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f30,plain,(
% 0.12/0.35 ![X0]: (~big_f(X0)|pd0_0(sk0_0(X0),X0)|~spl0_0)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f29])).
% 0.12/0.35 fof(f36,plain,(
% 0.12/0.35 spl0_2 <=> big_k(X1)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f37,plain,(
% 0.12/0.35 ![X0]: (big_k(X0)|~spl0_2)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f36])).
% 0.12/0.35 fof(f39,plain,(
% 0.12/0.35 spl0_0|spl0_2),
% 0.12/0.35 inference(split_clause,[status(thm)],[f13,f29,f36])).
% 0.12/0.35 fof(f40,plain,(
% 0.12/0.35 ![X0]: (~big_h(sk0_1,X0)|~big_k(X0))),
% 0.12/0.35 inference(resolution,[status(thm)],[f19,f15])).
% 0.12/0.35 fof(f41,plain,(
% 0.12/0.35 pd0_0(sk0_0(sk0_1),sk0_1)|~spl0_0),
% 0.12/0.35 inference(resolution,[status(thm)],[f30,f18])).
% 0.12/0.35 fof(f42,plain,(
% 0.12/0.35 ~big_j(sk0_1,sk0_0(sk0_1))|~spl0_0),
% 0.12/0.35 inference(resolution,[status(thm)],[f41,f28])).
% 0.12/0.35 fof(f43,plain,(
% 0.12/0.35 big_h(sk0_1,sk0_0(sk0_1))|~spl0_0),
% 0.12/0.35 inference(resolution,[status(thm)],[f41,f27])).
% 0.12/0.35 fof(f44,plain,(
% 0.12/0.35 spl0_3 <=> big_g(sk0_0(sk0_1))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f46,plain,(
% 0.12/0.35 ~big_g(sk0_0(sk0_1))|spl0_3),
% 0.12/0.35 inference(component_clause,[status(thm)],[f44])).
% 0.12/0.35 fof(f47,plain,(
% 0.12/0.35 spl0_4 <=> big_h(sk0_1,sk0_0(sk0_1))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f49,plain,(
% 0.12/0.35 ~big_h(sk0_1,sk0_0(sk0_1))|spl0_4),
% 0.12/0.35 inference(component_clause,[status(thm)],[f47])).
% 0.12/0.35 fof(f50,plain,(
% 0.12/0.35 ~big_g(sk0_0(sk0_1))|~big_h(sk0_1,sk0_0(sk0_1))|~spl0_0),
% 0.12/0.35 inference(resolution,[status(thm)],[f42,f20])).
% 0.12/0.35 fof(f51,plain,(
% 0.12/0.35 ~spl0_3|~spl0_4|~spl0_0),
% 0.12/0.35 inference(split_clause,[status(thm)],[f50,f44,f47,f29])).
% 0.12/0.35 fof(f52,plain,(
% 0.12/0.35 ![X0]: (~pd0_0(sk0_0(sk0_1),X0)|spl0_3)),
% 0.12/0.35 inference(resolution,[status(thm)],[f46,f26])).
% 0.12/0.35 fof(f53,plain,(
% 0.12/0.35 $false|spl0_3|~spl0_0),
% 0.12/0.35 inference(backward_subsumption_resolution,[status(thm)],[f41,f52])).
% 0.12/0.35 fof(f54,plain,(
% 0.12/0.35 spl0_3|~spl0_0),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f53])).
% 0.12/0.35 fof(f57,plain,(
% 0.12/0.35 ![X0]: (~big_h(sk0_1,X0)|~spl0_2)),
% 0.12/0.35 inference(backward_subsumption_resolution,[status(thm)],[f40,f37])).
% 0.12/0.35 fof(f59,plain,(
% 0.12/0.35 ~big_f(sk0_1)|~spl0_2),
% 0.12/0.35 inference(resolution,[status(thm)],[f57,f24])).
% 0.12/0.35 fof(f60,plain,(
% 0.12/0.35 $false|~spl0_2),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f59,f18])).
% 0.12/0.35 fof(f61,plain,(
% 0.12/0.35 ~spl0_2),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f60])).
% 0.12/0.35 fof(f62,plain,(
% 0.12/0.35 $false|spl0_4|~spl0_0),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f43,f49])).
% 0.12/0.35 fof(f63,plain,(
% 0.12/0.35 spl0_4|~spl0_0),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f62])).
% 0.12/0.35 fof(f64,plain,(
% 0.12/0.35 $false),
% 0.12/0.35 inference(sat_refutation,[status(thm)],[f39,f51,f54,f61,f63])).
% 0.12/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.57 % Elapsed time: 0.017499 seconds
% 0.26/0.57 % CPU time: 0.028068 seconds
% 0.26/0.57 % Memory used: 1.883 MB
%------------------------------------------------------------------------------