TSTP Solution File: SYN934+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN934+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : Tue Apr 30 20:53:40 EDT 2024
% Result : Theorem 0.21s 0.35s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN934+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:55:32 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.35 % Drodi V3.6.0
% 0.21/0.35 % Refutation found
% 0.21/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.35 fof(f1,conjecture,(
% 0.21/0.35 ( (? [X] :( c=> p(X) ))<=> ( c=> (? [X] : p(X) )) ) ),
% 0.21/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.35 fof(f2,negated_conjecture,(
% 0.21/0.35 ~(( (? [X] :( c=> p(X) ))<=> ( c=> (? [X] : p(X) )) ) )),
% 0.21/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.35 fof(f3,plain,(
% 0.21/0.35 ((?[X]: (~c|p(X)))<~>(~c|(?[X]: p(X))))),
% 0.21/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.21/0.35 fof(f4,plain,(
% 0.21/0.35 ((?[X]: (~c|p(X)))|(~c|(?[X]: p(X))))&((![X]: (c&~p(X)))|(c&(![X]: ~p(X))))),
% 0.21/0.35 inference(NNF_transformation,[status(esa)],[f3])).
% 0.21/0.35 fof(f5,plain,(
% 0.21/0.35 ((~c|(?[X]: p(X)))|(~c|(?[X]: p(X))))&((c&(![X]: ~p(X)))|(c&(![X]: ~p(X))))),
% 0.21/0.35 inference(miniscoping,[status(esa)],[f4])).
% 0.21/0.35 fof(f6,plain,(
% 0.21/0.35 ((~c|p(sk0_0))|(~c|p(sk0_1)))&((c&(![X]: ~p(X)))|(c&(![X]: ~p(X))))),
% 0.21/0.35 inference(skolemization,[status(esa)],[f5])).
% 0.21/0.35 fof(f7,plain,(
% 0.21/0.35 ~c|p(sk0_0)|~c|p(sk0_1)),
% 0.21/0.35 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.35 fof(f8,plain,(
% 0.21/0.35 c|c),
% 0.21/0.35 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.35 fof(f11,plain,(
% 0.21/0.35 ![X0,X1]: (~p(X0)|~p(X1))),
% 0.21/0.35 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.35 fof(f12,plain,(
% 0.21/0.35 spl0_0 <=> c),
% 0.21/0.35 introduced(split_symbol_definition)).
% 0.21/0.35 fof(f15,plain,(
% 0.21/0.35 spl0_1 <=> p(sk0_0)),
% 0.21/0.35 introduced(split_symbol_definition)).
% 0.21/0.35 fof(f16,plain,(
% 0.21/0.35 p(sk0_0)|~spl0_1),
% 0.21/0.35 inference(component_clause,[status(thm)],[f15])).
% 0.21/0.35 fof(f18,plain,(
% 0.21/0.35 spl0_2 <=> p(sk0_1)),
% 0.21/0.35 introduced(split_symbol_definition)).
% 0.21/0.35 fof(f19,plain,(
% 0.21/0.35 p(sk0_1)|~spl0_2),
% 0.21/0.35 inference(component_clause,[status(thm)],[f18])).
% 0.21/0.35 fof(f21,plain,(
% 0.21/0.35 ~spl0_0|spl0_1|spl0_2),
% 0.21/0.35 inference(split_clause,[status(thm)],[f7,f12,f15,f18])).
% 0.21/0.35 fof(f22,plain,(
% 0.21/0.35 spl0_0),
% 0.21/0.35 inference(split_clause,[status(thm)],[f8,f12])).
% 0.21/0.35 fof(f23,plain,(
% 0.21/0.35 spl0_3 <=> ~p(X0)),
% 0.21/0.35 introduced(split_symbol_definition)).
% 0.21/0.35 fof(f24,plain,(
% 0.21/0.35 ![X0]: (~p(X0)|~spl0_3)),
% 0.21/0.35 inference(component_clause,[status(thm)],[f23])).
% 0.21/0.35 fof(f28,plain,(
% 0.21/0.35 spl0_3),
% 0.21/0.35 inference(split_clause,[status(thm)],[f11,f23])).
% 0.21/0.35 fof(f29,plain,(
% 0.21/0.35 $false|~spl0_3|~spl0_1),
% 0.21/0.35 inference(forward_subsumption_resolution,[status(thm)],[f16,f24])).
% 0.21/0.35 fof(f30,plain,(
% 0.21/0.35 ~spl0_3|~spl0_1),
% 0.21/0.35 inference(contradiction_clause,[status(thm)],[f29])).
% 0.21/0.35 fof(f31,plain,(
% 0.21/0.35 $false|~spl0_3|~spl0_2),
% 0.21/0.35 inference(forward_subsumption_resolution,[status(thm)],[f19,f24])).
% 0.21/0.35 fof(f32,plain,(
% 0.21/0.35 ~spl0_3|~spl0_2),
% 0.21/0.35 inference(contradiction_clause,[status(thm)],[f31])).
% 0.21/0.35 fof(f33,plain,(
% 0.21/0.35 $false),
% 0.21/0.35 inference(sat_refutation,[status(thm)],[f21,f22,f28,f30,f32])).
% 0.21/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.36 % Elapsed time: 0.014137 seconds
% 0.21/0.36 % CPU time: 0.023205 seconds
% 0.21/0.36 % Total memory used: 1.890 MB
% 0.21/0.36 % Net memory used: 1.723 MB
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