TSTP Solution File: SYN931+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN931+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : Wed May 31 12:48:26 EDT 2023
% Result : Theorem 0.10s 0.32s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN931+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.31 % Computer : n022.cluster.edu
% 0.07/0.31 % Model : x86_64 x86_64
% 0.07/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.31 % Memory : 8042.1875MB
% 0.07/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:22:42 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.10/0.32 % Refutation found
% 0.10/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.32 fof(f1,conjecture,(
% 0.10/0.32 ( (? [X] :( p(X)& c ))<=> ( (? [X] : p(X))& c ) ) ),
% 0.10/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.32 fof(f2,negated_conjecture,(
% 0.10/0.32 ~(( (? [X] :( p(X)& c ))<=> ( (? [X] : p(X))& c ) ) )),
% 0.10/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.32 fof(f3,plain,(
% 0.10/0.32 ((?[X]: (p(X)&c))<~>((?[X]: p(X))&c))),
% 0.10/0.32 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.10/0.32 fof(f4,plain,(
% 0.10/0.32 pd0_0<=>((?[X]: p(X))&c)),
% 0.10/0.32 introduced(predicate_definition,[f3])).
% 0.10/0.32 fof(f5,plain,(
% 0.10/0.32 (?[X]: (p(X)&c))<~>pd0_0),
% 0.10/0.32 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.10/0.32 fof(f6,plain,(
% 0.10/0.32 ((?[X]: (p(X)&c))|pd0_0)&((![X]: (~p(X)|~c))|~pd0_0)),
% 0.10/0.32 inference(NNF_transformation,[status(esa)],[f5])).
% 0.10/0.32 fof(f7,plain,(
% 0.10/0.32 (((?[X]: p(X))&c)|pd0_0)&(((![X]: ~p(X))|~c)|~pd0_0)),
% 0.10/0.32 inference(miniscoping,[status(esa)],[f6])).
% 0.10/0.32 fof(f8,plain,(
% 0.10/0.32 ((p(sk0_0)&c)|pd0_0)&(((![X]: ~p(X))|~c)|~pd0_0)),
% 0.10/0.32 inference(skolemization,[status(esa)],[f7])).
% 0.10/0.32 fof(f9,plain,(
% 0.10/0.32 p(sk0_0)|pd0_0),
% 0.10/0.32 inference(cnf_transformation,[status(esa)],[f8])).
% 0.10/0.32 fof(f10,plain,(
% 0.10/0.32 c|pd0_0),
% 0.10/0.32 inference(cnf_transformation,[status(esa)],[f8])).
% 0.10/0.32 fof(f11,plain,(
% 0.10/0.32 ![X0]: (~p(X0)|~c|~pd0_0)),
% 0.10/0.32 inference(cnf_transformation,[status(esa)],[f8])).
% 0.10/0.32 fof(f12,plain,(
% 0.10/0.32 (~pd0_0|((?[X]: p(X))&c))&(pd0_0|((![X]: ~p(X))|~c))),
% 0.10/0.32 inference(NNF_transformation,[status(esa)],[f4])).
% 0.10/0.32 fof(f13,plain,(
% 0.10/0.32 (~pd0_0|(p(sk0_1)&c))&(pd0_0|((![X]: ~p(X))|~c))),
% 0.10/0.32 inference(skolemization,[status(esa)],[f12])).
% 0.10/0.32 fof(f14,plain,(
% 0.10/0.32 ~pd0_0|p(sk0_1)),
% 0.10/0.32 inference(cnf_transformation,[status(esa)],[f13])).
% 0.10/0.32 fof(f15,plain,(
% 0.10/0.32 ~pd0_0|c),
% 0.10/0.32 inference(cnf_transformation,[status(esa)],[f13])).
% 0.10/0.32 fof(f16,plain,(
% 0.10/0.32 ![X0]: (pd0_0|~p(X0)|~c)),
% 0.10/0.32 inference(cnf_transformation,[status(esa)],[f13])).
% 0.10/0.32 fof(f17,plain,(
% 0.10/0.32 spl0_0 <=> p(sk0_0)),
% 0.10/0.32 introduced(split_symbol_definition)).
% 0.10/0.32 fof(f18,plain,(
% 0.10/0.32 p(sk0_0)|~spl0_0),
% 0.10/0.32 inference(component_clause,[status(thm)],[f17])).
% 0.10/0.32 fof(f20,plain,(
% 0.10/0.32 spl0_1 <=> pd0_0),
% 0.10/0.32 introduced(split_symbol_definition)).
% 0.10/0.32 fof(f23,plain,(
% 0.10/0.32 spl0_0|spl0_1),
% 0.10/0.32 inference(split_clause,[status(thm)],[f9,f17,f20])).
% 0.10/0.32 fof(f24,plain,(
% 0.10/0.32 spl0_2 <=> c),
% 0.10/0.32 introduced(split_symbol_definition)).
% 0.10/0.32 fof(f27,plain,(
% 0.10/0.32 spl0_2|spl0_1),
% 0.10/0.32 inference(split_clause,[status(thm)],[f10,f24,f20])).
% 0.10/0.32 fof(f28,plain,(
% 0.10/0.32 spl0_3 <=> ~p(X0)),
% 0.10/0.32 introduced(split_symbol_definition)).
% 0.10/0.32 fof(f29,plain,(
% 0.10/0.32 ![X0]: (~p(X0)|~spl0_3)),
% 0.10/0.32 inference(component_clause,[status(thm)],[f28])).
% 0.10/0.32 fof(f31,plain,(
% 0.10/0.32 spl0_3|~spl0_2|~spl0_1),
% 0.10/0.32 inference(split_clause,[status(thm)],[f11,f28,f24,f20])).
% 0.10/0.32 fof(f32,plain,(
% 0.10/0.32 spl0_4 <=> p(sk0_1)),
% 0.10/0.32 introduced(split_symbol_definition)).
% 0.10/0.32 fof(f33,plain,(
% 0.10/0.32 p(sk0_1)|~spl0_4),
% 0.10/0.32 inference(component_clause,[status(thm)],[f32])).
% 0.10/0.32 fof(f35,plain,(
% 0.10/0.32 ~spl0_1|spl0_4),
% 0.10/0.32 inference(split_clause,[status(thm)],[f14,f20,f32])).
% 0.10/0.32 fof(f36,plain,(
% 0.10/0.32 ~spl0_1|spl0_2),
% 0.10/0.32 inference(split_clause,[status(thm)],[f15,f20,f24])).
% 0.10/0.32 fof(f37,plain,(
% 0.10/0.32 spl0_1|spl0_3|~spl0_2),
% 0.10/0.32 inference(split_clause,[status(thm)],[f16,f20,f28,f24])).
% 0.10/0.32 fof(f38,plain,(
% 0.10/0.32 $false|~spl0_3|~spl0_0),
% 0.10/0.32 inference(forward_subsumption_resolution,[status(thm)],[f18,f29])).
% 0.10/0.32 fof(f39,plain,(
% 0.10/0.32 ~spl0_3|~spl0_0),
% 0.10/0.32 inference(contradiction_clause,[status(thm)],[f38])).
% 0.10/0.32 fof(f40,plain,(
% 0.10/0.32 $false|~spl0_3|~spl0_4),
% 0.10/0.32 inference(forward_subsumption_resolution,[status(thm)],[f33,f29])).
% 0.10/0.32 fof(f41,plain,(
% 0.10/0.32 ~spl0_3|~spl0_4),
% 0.10/0.32 inference(contradiction_clause,[status(thm)],[f40])).
% 0.10/0.32 fof(f42,plain,(
% 0.10/0.32 $false),
% 0.10/0.32 inference(sat_refutation,[status(thm)],[f23,f27,f31,f35,f36,f37,f39,f41])).
% 0.10/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.32 % Elapsed time: 0.012545 seconds
% 0.10/0.32 % CPU time: 0.018384 seconds
% 0.10/0.32 % Memory used: 1.820 MB
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