TSTP Solution File: SYN373+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN373+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 20:52:03 EDT 2024
% Result : Theorem 0.08s 0.30s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN373+1 : TPTP v8.1.2. Released v2.0.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n025.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Apr 29 22:20:41 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.6.0
% 0.08/0.30 % Refutation found
% 0.08/0.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.30 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.30 fof(f1,conjecture,(
% 0.08/0.30 ( (? [X] :( big_p(X)=> big_q(X) ))<=> ( (! [X] : big_p(X))=> (? [X] : big_q(X) )) ) ),
% 0.08/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.30 fof(f2,negated_conjecture,(
% 0.08/0.30 ~(( (? [X] :( big_p(X)=> big_q(X) ))<=> ( (! [X] : big_p(X))=> (? [X] : big_q(X) )) ) )),
% 0.08/0.30 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.30 fof(f3,plain,(
% 0.08/0.30 ((?[X]: (~big_p(X)|big_q(X)))<~>((?[X]: ~big_p(X))|(?[X]: big_q(X))))),
% 0.08/0.30 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.08/0.30 fof(f4,plain,(
% 0.08/0.30 ((?[X]: (~big_p(X)|big_q(X)))|((?[X]: ~big_p(X))|(?[X]: big_q(X))))&((![X]: (big_p(X)&~big_q(X)))|((![X]: big_p(X))&(![X]: ~big_q(X))))),
% 0.08/0.30 inference(NNF_transformation,[status(esa)],[f3])).
% 0.08/0.30 fof(f5,plain,(
% 0.08/0.30 (((?[X]: ~big_p(X))|(?[X]: big_q(X)))|((?[X]: ~big_p(X))|(?[X]: big_q(X))))&(((![X]: big_p(X))&(![X]: ~big_q(X)))|((![X]: big_p(X))&(![X]: ~big_q(X))))),
% 0.08/0.30 inference(miniscoping,[status(esa)],[f4])).
% 0.08/0.30 fof(f6,plain,(
% 0.08/0.30 ((~big_p(sk0_0)|big_q(sk0_1))|(~big_p(sk0_2)|big_q(sk0_3)))&(((![X]: big_p(X))&(![X]: ~big_q(X)))|((![X]: big_p(X))&(![X]: ~big_q(X))))),
% 0.08/0.30 inference(skolemization,[status(esa)],[f5])).
% 0.08/0.30 fof(f7,plain,(
% 0.08/0.30 ~big_p(sk0_0)|big_q(sk0_1)|~big_p(sk0_2)|big_q(sk0_3)),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f6])).
% 0.08/0.30 fof(f8,plain,(
% 0.08/0.30 ![X0,X1]: (big_p(X0)|big_p(X1))),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f6])).
% 0.08/0.30 fof(f11,plain,(
% 0.08/0.30 ![X0,X1]: (~big_q(X0)|~big_q(X1))),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f6])).
% 0.08/0.30 fof(f12,plain,(
% 0.08/0.30 spl0_0 <=> big_p(sk0_0)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f14,plain,(
% 0.08/0.30 ~big_p(sk0_0)|spl0_0),
% 0.08/0.30 inference(component_clause,[status(thm)],[f12])).
% 0.08/0.30 fof(f15,plain,(
% 0.08/0.30 spl0_1 <=> big_q(sk0_1)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f16,plain,(
% 0.08/0.30 big_q(sk0_1)|~spl0_1),
% 0.08/0.30 inference(component_clause,[status(thm)],[f15])).
% 0.08/0.30 fof(f18,plain,(
% 0.08/0.30 spl0_2 <=> big_p(sk0_2)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f20,plain,(
% 0.08/0.30 ~big_p(sk0_2)|spl0_2),
% 0.08/0.30 inference(component_clause,[status(thm)],[f18])).
% 0.08/0.30 fof(f21,plain,(
% 0.08/0.30 spl0_3 <=> big_q(sk0_3)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f22,plain,(
% 0.08/0.30 big_q(sk0_3)|~spl0_3),
% 0.08/0.30 inference(component_clause,[status(thm)],[f21])).
% 0.08/0.30 fof(f24,plain,(
% 0.08/0.30 ~spl0_0|spl0_1|~spl0_2|spl0_3),
% 0.08/0.30 inference(split_clause,[status(thm)],[f7,f12,f15,f18,f21])).
% 0.08/0.30 fof(f25,plain,(
% 0.08/0.30 spl0_4 <=> big_p(X0)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f26,plain,(
% 0.08/0.30 ![X0]: (big_p(X0)|~spl0_4)),
% 0.08/0.30 inference(component_clause,[status(thm)],[f25])).
% 0.08/0.30 fof(f28,plain,(
% 0.08/0.30 spl0_4),
% 0.08/0.30 inference(split_clause,[status(thm)],[f8,f25])).
% 0.08/0.30 fof(f29,plain,(
% 0.08/0.30 spl0_5 <=> ~big_q(X1)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f30,plain,(
% 0.08/0.30 ![X0]: (~big_q(X0)|~spl0_5)),
% 0.08/0.30 inference(component_clause,[status(thm)],[f29])).
% 0.08/0.30 fof(f34,plain,(
% 0.08/0.30 spl0_5),
% 0.08/0.30 inference(split_clause,[status(thm)],[f11,f29])).
% 0.08/0.30 fof(f35,plain,(
% 0.08/0.30 $false|~spl0_4|spl0_2),
% 0.08/0.30 inference(forward_subsumption_resolution,[status(thm)],[f20,f26])).
% 0.08/0.30 fof(f36,plain,(
% 0.08/0.30 ~spl0_4|spl0_2),
% 0.08/0.30 inference(contradiction_clause,[status(thm)],[f35])).
% 0.08/0.30 fof(f37,plain,(
% 0.08/0.30 $false|~spl0_4|spl0_0),
% 0.08/0.30 inference(forward_subsumption_resolution,[status(thm)],[f14,f26])).
% 0.08/0.30 fof(f38,plain,(
% 0.08/0.30 ~spl0_4|spl0_0),
% 0.08/0.30 inference(contradiction_clause,[status(thm)],[f37])).
% 0.08/0.30 fof(f39,plain,(
% 0.08/0.30 $false|~spl0_5|~spl0_1),
% 0.08/0.30 inference(forward_subsumption_resolution,[status(thm)],[f16,f30])).
% 0.08/0.30 fof(f40,plain,(
% 0.08/0.30 ~spl0_5|~spl0_1),
% 0.08/0.30 inference(contradiction_clause,[status(thm)],[f39])).
% 0.08/0.30 fof(f41,plain,(
% 0.08/0.30 $false|~spl0_5|~spl0_3),
% 0.08/0.30 inference(forward_subsumption_resolution,[status(thm)],[f22,f30])).
% 0.08/0.30 fof(f42,plain,(
% 0.08/0.30 ~spl0_5|~spl0_3),
% 0.08/0.30 inference(contradiction_clause,[status(thm)],[f41])).
% 0.08/0.30 fof(f43,plain,(
% 0.08/0.30 $false),
% 0.08/0.30 inference(sat_refutation,[status(thm)],[f24,f28,f34,f36,f38,f40,f42])).
% 0.08/0.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.31 % Elapsed time: 0.012208 seconds
% 0.08/0.31 % CPU time: 0.018439 seconds
% 0.08/0.31 % Total memory used: 1.897 MB
% 0.08/0.31 % Net memory used: 1.738 MB
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