TSTP Solution File: SYN070+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN070+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:51:14 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN070+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:35:10 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35 fof(f1,axiom,(
% 0.13/0.35 (! [X,Y] :( ( big_f(X)& ( ( big_f(Y)& big_h(Y,X) )=> big_g(Y) ) )=> big_g(X) ) )),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f2,axiom,(
% 0.13/0.35 ( (? [X] :( big_f(X)& ~ big_g(X) ))=> (? [X1] :( big_f(X1)& ~ big_g(X1)& (! [Y] :( ( big_f(Y)& ~ big_g(Y) )=> big_j(X1,Y) ) )) )) ),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f3,axiom,(
% 0.13/0.35 (! [X,Y] :( ( big_f(X)& big_f(Y)& big_h(X,Y) )=> ~ big_j(Y,X) ) )),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f4,conjecture,(
% 0.13/0.35 (! [X] :( big_f(X)=> big_g(X) ) )),
% 0.13/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f5,negated_conjecture,(
% 0.13/0.35 ~((! [X] :( big_f(X)=> big_g(X) ) ))),
% 0.13/0.35 inference(negated_conjecture,[status(cth)],[f4])).
% 0.13/0.35 fof(f6,plain,(
% 0.13/0.35 ![X,Y]: ((~big_f(X)|((big_f(Y)&big_h(Y,X))&~big_g(Y)))|big_g(X))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.35 fof(f7,plain,(
% 0.13/0.35 ![X]: ((~big_f(X)|(((![Y]: big_f(Y))&(![Y]: big_h(Y,X)))&(![Y]: ~big_g(Y))))|big_g(X))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f6])).
% 0.13/0.35 fof(f8,plain,(
% 0.13/0.35 ![X0,X1]: (~big_f(X0)|big_f(X1)|big_g(X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.35 fof(f9,plain,(
% 0.13/0.35 ![X0,X1]: (~big_f(X0)|big_h(X1,X0)|big_g(X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.35 fof(f10,plain,(
% 0.13/0.35 ![X0,X1]: (~big_f(X0)|~big_g(X1)|big_g(X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.35 fof(f11,plain,(
% 0.13/0.35 (![X]: (~big_f(X)|big_g(X)))|(?[X1]: ((big_f(X1)&~big_g(X1))&(![Y]: ((~big_f(Y)|big_g(Y))|big_j(X1,Y)))))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.35 fof(f12,plain,(
% 0.13/0.35 (![X]: (~big_f(X)|big_g(X)))|((big_f(sk0_0)&~big_g(sk0_0))&(![Y]: ((~big_f(Y)|big_g(Y))|big_j(sk0_0,Y))))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f11])).
% 0.13/0.35 fof(f15,plain,(
% 0.13/0.35 ![X0,X1]: (~big_f(X0)|big_g(X0)|~big_f(X1)|big_g(X1)|big_j(sk0_0,X1))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.35 fof(f16,plain,(
% 0.13/0.35 ![X,Y]: (((~big_f(X)|~big_f(Y))|~big_h(X,Y))|~big_j(Y,X))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.13/0.35 fof(f17,plain,(
% 0.13/0.35 ![X0,X1]: (~big_f(X0)|~big_f(X1)|~big_h(X0,X1)|~big_j(X1,X0))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.35 fof(f18,plain,(
% 0.13/0.35 (?[X]: (big_f(X)&~big_g(X)))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.13/0.35 fof(f19,plain,(
% 0.13/0.35 (big_f(sk0_1)&~big_g(sk0_1))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f18])).
% 0.13/0.35 fof(f20,plain,(
% 0.13/0.35 big_f(sk0_1)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.35 fof(f21,plain,(
% 0.13/0.35 ~big_g(sk0_1)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.35 fof(f22,plain,(
% 0.13/0.35 spl0_0 <=> ~big_f(X0)|big_g(X0)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f23,plain,(
% 0.13/0.35 ![X0]: (~big_f(X0)|big_g(X0)|~spl0_0)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f22])).
% 0.13/0.35 fof(f25,plain,(
% 0.13/0.35 spl0_1 <=> big_f(X1)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f26,plain,(
% 0.13/0.35 ![X0]: (big_f(X0)|~spl0_1)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f25])).
% 0.13/0.35 fof(f28,plain,(
% 0.13/0.35 spl0_0|spl0_1),
% 0.13/0.35 inference(split_clause,[status(thm)],[f8,f22,f25])).
% 0.13/0.35 fof(f29,plain,(
% 0.13/0.35 spl0_2 <=> ~big_g(X1)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f30,plain,(
% 0.13/0.35 ![X0]: (~big_g(X0)|~spl0_2)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f29])).
% 0.13/0.35 fof(f32,plain,(
% 0.13/0.35 spl0_0|spl0_2),
% 0.13/0.35 inference(split_clause,[status(thm)],[f10,f22,f29])).
% 0.13/0.35 fof(f41,plain,(
% 0.13/0.35 spl0_5 <=> ~big_f(X1)|big_g(X1)|big_j(sk0_0,X1)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f42,plain,(
% 0.13/0.35 ![X0]: (~big_f(X0)|big_g(X0)|big_j(sk0_0,X0)|~spl0_5)),
% 0.13/0.35 inference(component_clause,[status(thm)],[f41])).
% 0.13/0.35 fof(f44,plain,(
% 0.13/0.35 spl0_0|spl0_5),
% 0.13/0.35 inference(split_clause,[status(thm)],[f15,f22,f41])).
% 0.13/0.35 fof(f45,plain,(
% 0.13/0.35 big_g(sk0_1)|~spl0_0),
% 0.13/0.35 inference(resolution,[status(thm)],[f23,f20])).
% 0.13/0.35 fof(f46,plain,(
% 0.13/0.35 $false|~spl0_0),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f45,f21])).
% 0.13/0.35 fof(f47,plain,(
% 0.13/0.35 ~spl0_0),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f46])).
% 0.13/0.35 fof(f48,plain,(
% 0.13/0.35 ![X0,X1]: (big_h(X0,X1)|big_g(X1)|~spl0_1)),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f9,f26])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 ![X0,X1]: (~big_f(X0)|~big_h(X1,X0)|~big_j(X0,X1)|~spl0_1)),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f17,f26])).
% 0.13/0.36 fof(f50,plain,(
% 0.13/0.36 ![X0,X1]: (~big_h(X0,X1)|~big_j(X1,X0)|~spl0_1)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f49,f26])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 ![X0,X1]: (big_h(X0,X1)|~spl0_2|~spl0_1)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f48,f30])).
% 0.13/0.36 fof(f52,plain,(
% 0.13/0.36 ![X0,X1]: (~big_j(X0,X1)|~spl0_2|~spl0_1)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f50,f51])).
% 0.13/0.36 fof(f53,plain,(
% 0.13/0.36 ![X0]: (big_g(X0)|big_j(sk0_0,X0)|~spl0_1|~spl0_5)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f42,f26])).
% 0.13/0.36 fof(f54,plain,(
% 0.13/0.36 ![X0]: (big_g(X0)|~spl0_5|~spl0_2|~spl0_1)),
% 0.13/0.36 inference(resolution,[status(thm)],[f53,f52])).
% 0.13/0.36 fof(f55,plain,(
% 0.13/0.36 $false|~spl0_5|~spl0_2|~spl0_1),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f54,f30])).
% 0.13/0.36 fof(f56,plain,(
% 0.13/0.36 ~spl0_5|~spl0_2|~spl0_1),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f55])).
% 0.13/0.36 fof(f57,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f28,f32,f44,f47,f56])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.021021 seconds
% 0.13/0.37 % CPU time: 0.036496 seconds
% 0.13/0.37 % Total memory used: 1.916 MB
% 0.13/0.37 % Net memory used: 1.792 MB
%------------------------------------------------------------------------------