TSTP Solution File: SYN367+1 by Drodi---3.5.1
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% File : Drodi---3.5.1
% Problem : SYN367+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:46:39 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN367+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n020.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 : Tue May 30 10:23:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,conjecture,(
% 0.13/0.36 ( (! [X] :( ( p& big_q(X) )| ( ~ p& big_r(X) ) ))=> ( (! [X] : big_q(X))| (! [X] : big_r(X) )) ) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,negated_conjecture,(
% 0.13/0.36 ~(( (! [X] :( ( p& big_q(X) )| ( ~ p& big_r(X) ) ))=> ( (! [X] : big_q(X))| (! [X] : big_r(X) )) ) )),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.36 fof(f3,plain,(
% 0.13/0.36 ((![X]: ((p&big_q(X))|(~p&big_r(X))))&((?[X]: ~big_q(X))&(?[X]: ~big_r(X))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.36 fof(f4,plain,(
% 0.13/0.36 ![X]: (pd0_0(X)=>(p&big_q(X)))),
% 0.13/0.36 introduced(predicate_definition,[f3])).
% 0.13/0.36 fof(f5,plain,(
% 0.13/0.36 (![X]: (pd0_0(X)|(~p&big_r(X))))&((?[X]: ~big_q(X))&(?[X]: ~big_r(X)))),
% 0.13/0.36 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.13/0.36 fof(f6,plain,(
% 0.13/0.36 (![X]: (pd0_0(X)|(~p&big_r(X))))&(~big_q(sk0_0)&~big_r(sk0_1))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f5])).
% 0.13/0.36 fof(f7,plain,(
% 0.13/0.36 ![X0]: (pd0_0(X0)|~p)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f8,plain,(
% 0.13/0.36 ![X0]: (pd0_0(X0)|big_r(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f9,plain,(
% 0.13/0.36 ~big_q(sk0_0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f10,plain,(
% 0.13/0.36 ~big_r(sk0_1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f11,plain,(
% 0.13/0.36 ![X]: (~pd0_0(X)|(p&big_q(X)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.36 fof(f12,plain,(
% 0.13/0.36 ![X0]: (~pd0_0(X0)|p)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 ![X0]: (~pd0_0(X0)|big_q(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.36 fof(f14,plain,(
% 0.13/0.36 spl0_0 <=> pd0_0(X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f15,plain,(
% 0.13/0.36 ![X0]: (pd0_0(X0)|~spl0_0)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f14])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 spl0_1 <=> p),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f20,plain,(
% 0.13/0.36 spl0_0|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f7,f14,f17])).
% 0.13/0.36 fof(f21,plain,(
% 0.13/0.36 spl0_2 <=> ~pd0_0(X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 ![X0]: (~pd0_0(X0)|~spl0_2)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f21])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 spl0_2|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f12,f21,f17])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 ![X0]: (big_q(X0)|~spl0_0)),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f13,f15])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 $false|~spl0_0),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f9,f27])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ~spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f28])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ![X0]: (big_r(X0)|~spl0_2)),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f8,f22])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 $false|~spl0_2),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f10,f30])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 ~spl0_2),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f31])).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f20,f24,f29,f32])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.017356 seconds
% 0.13/0.37 % CPU time: 0.027853 seconds
% 0.13/0.37 % Memory used: 1.819 MB
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