TSTP Solution File: SYN364+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN364+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:52:01 EDT 2024
% Result : Theorem 0.13s 0.32s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN364+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n022.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 22:01:43 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.13/0.31 % Drodi V3.6.0
% 0.13/0.32 % Refutation found
% 0.13/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.32 fof(f1,conjecture,(
% 0.13/0.32 ( ( (! [X] :( (? [Y] : big_p(X,Y))=> (! [Z] : big_p(Z,Z) )))& (! [U] :(? [V] :( big_p(U,V)| ( big_m(U)& big_q(f(U,V)) ) )))& (! [W] :( big_q(W)=> ~ big_m(g(W)) ) ))=> (! [U] :(? [V] :( big_p(g(U),V)& big_p(U,U) ) ))) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f2,negated_conjecture,(
% 0.13/0.32 ~(( ( (! [X] :( (? [Y] : big_p(X,Y))=> (! [Z] : big_p(Z,Z) )))& (! [U] :(? [V] :( big_p(U,V)| ( big_m(U)& big_q(f(U,V)) ) )))& (! [W] :( big_q(W)=> ~ big_m(g(W)) ) ))=> (! [U] :(? [V] :( big_p(g(U),V)& big_p(U,U) ) ))) )),
% 0.13/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.32 fof(f3,plain,(
% 0.13/0.32 ((((![X]: ((![Y]: ~big_p(X,Y))|(![Z]: big_p(Z,Z))))&(![U]: ?[V]: (big_p(U,V)|(big_m(U)&big_q(f(U,V))))))&(![W]: (~big_q(W)|~big_m(g(W)))))&(?[U]: ![V]: (~big_p(g(U),V)|~big_p(U,U))))),
% 0.13/0.32 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.32 fof(f4,plain,(
% 0.13/0.32 ((((![X,Y]: ~big_p(X,Y))|(![Z]: big_p(Z,Z)))&(![U]: ((?[V]: big_p(U,V))|(big_m(U)&(?[V]: big_q(f(U,V)))))))&(![W]: (~big_q(W)|~big_m(g(W)))))&((?[U]: ![V]: ~big_p(g(U),V))|(?[U]: ~big_p(U,U)))),
% 0.13/0.32 inference(miniscoping,[status(esa)],[f3])).
% 0.13/0.32 fof(f5,plain,(
% 0.13/0.32 ((((![X,Y]: ~big_p(X,Y))|(![Z]: big_p(Z,Z)))&(![U]: (big_p(U,sk0_0(U))|(big_m(U)&big_q(f(U,sk0_1(U)))))))&(![W]: (~big_q(W)|~big_m(g(W)))))&(![V]: ~big_p(g(sk0_2),V)|~big_p(sk0_3,sk0_3))),
% 0.13/0.32 inference(skolemization,[status(esa)],[f4])).
% 0.13/0.32 fof(f6,plain,(
% 0.13/0.32 ![X0,X1,X2]: (~big_p(X0,X1)|big_p(X2,X2))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.32 fof(f7,plain,(
% 0.13/0.32 ![X0]: (big_p(X0,sk0_0(X0))|big_m(X0))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.32 fof(f8,plain,(
% 0.13/0.32 ![X0]: (big_p(X0,sk0_0(X0))|big_q(f(X0,sk0_1(X0))))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.32 fof(f9,plain,(
% 0.13/0.32 ![X0]: (~big_q(X0)|~big_m(g(X0)))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.32 fof(f10,plain,(
% 0.13/0.32 ![X0]: (~big_p(g(sk0_2),X0)|~big_p(sk0_3,sk0_3))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.32 fof(f11,plain,(
% 0.13/0.32 spl0_0 <=> ~big_p(X0,X1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f12,plain,(
% 0.13/0.32 ![X0,X1]: (~big_p(X0,X1)|~spl0_0)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f11])).
% 0.13/0.32 fof(f14,plain,(
% 0.13/0.32 spl0_1 <=> big_p(X2,X2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f15,plain,(
% 0.13/0.32 ![X0]: (big_p(X0,X0)|~spl0_1)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f14])).
% 0.13/0.32 fof(f17,plain,(
% 0.13/0.32 spl0_0|spl0_1),
% 0.13/0.32 inference(split_clause,[status(thm)],[f6,f11,f14])).
% 0.13/0.32 fof(f18,plain,(
% 0.13/0.32 spl0_2 <=> ~big_p(g(sk0_2),X0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f19,plain,(
% 0.13/0.32 ![X0]: (~big_p(g(sk0_2),X0)|~spl0_2)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f18])).
% 0.13/0.32 fof(f21,plain,(
% 0.13/0.32 spl0_3 <=> big_p(sk0_3,sk0_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f23,plain,(
% 0.13/0.32 ~big_p(sk0_3,sk0_3)|spl0_3),
% 0.13/0.32 inference(component_clause,[status(thm)],[f21])).
% 0.13/0.32 fof(f24,plain,(
% 0.13/0.32 spl0_2|~spl0_3),
% 0.13/0.32 inference(split_clause,[status(thm)],[f10,f18,f21])).
% 0.13/0.32 fof(f25,plain,(
% 0.13/0.32 ![X0]: (big_m(X0)|~spl0_0)),
% 0.13/0.32 inference(forward_subsumption_resolution,[status(thm)],[f7,f12])).
% 0.13/0.32 fof(f26,plain,(
% 0.13/0.32 ![X0]: (~big_q(X0)|~spl0_0)),
% 0.13/0.32 inference(backward_subsumption_resolution,[status(thm)],[f9,f25])).
% 0.13/0.32 fof(f27,plain,(
% 0.13/0.32 ![X0]: (big_q(f(X0,sk0_1(X0)))|~spl0_0)),
% 0.13/0.32 inference(forward_subsumption_resolution,[status(thm)],[f8,f12])).
% 0.13/0.32 fof(f28,plain,(
% 0.13/0.32 $false|~spl0_0),
% 0.13/0.32 inference(resolution,[status(thm)],[f27,f26])).
% 0.13/0.32 fof(f29,plain,(
% 0.13/0.32 ~spl0_0),
% 0.13/0.32 inference(contradiction_clause,[status(thm)],[f28])).
% 0.13/0.32 fof(f30,plain,(
% 0.13/0.32 $false|~spl0_1|spl0_3),
% 0.13/0.32 inference(forward_subsumption_resolution,[status(thm)],[f23,f15])).
% 0.13/0.32 fof(f31,plain,(
% 0.13/0.32 ~spl0_1|spl0_3),
% 0.13/0.32 inference(contradiction_clause,[status(thm)],[f30])).
% 0.13/0.32 fof(f32,plain,(
% 0.13/0.32 $false|~spl0_2|~spl0_1),
% 0.13/0.32 inference(resolution,[status(thm)],[f19,f15])).
% 0.13/0.32 fof(f33,plain,(
% 0.13/0.32 ~spl0_2|~spl0_1),
% 0.13/0.32 inference(contradiction_clause,[status(thm)],[f32])).
% 0.13/0.32 fof(f34,plain,(
% 0.13/0.32 $false),
% 0.13/0.32 inference(sat_refutation,[status(thm)],[f17,f24,f29,f31,f33])).
% 0.13/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.33 % Elapsed time: 0.012129 seconds
% 0.13/0.33 % CPU time: 0.020864 seconds
% 0.13/0.33 % Total memory used: 1.916 MB
% 0.13/0.33 % Net memory used: 1.760 MB
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