TSTP Solution File: SYN937+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN937+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 0.13s 0.59s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.35 % Problem : SYN937+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.36 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.58 % Computer : n020.cluster.edu
% 0.13/0.58 % Model : x86_64 x86_64
% 0.13/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.58 % Memory : 8042.1875MB
% 0.13/0.58 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.58 % CPULimit : 300
% 0.13/0.58 % WCLimit : 300
% 0.13/0.58 % DateTime : Mon Apr 29 21:50:47 EDT 2024
% 0.13/0.58 % CPUTime :
% 0.13/0.59 % Drodi V3.6.0
% 0.13/0.59 % Refutation found
% 0.13/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.59 fof(f1,conjecture,(
% 0.13/0.59 ( (! [X] :( p(X)=> c ))<=> ( (? [X] : p(X))=> c ) ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f2,negated_conjecture,(
% 0.13/0.59 ~(( (! [X] :( p(X)=> c ))<=> ( (? [X] : p(X))=> c ) ) )),
% 0.13/0.59 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.59 fof(f3,plain,(
% 0.13/0.59 ((![X]: (~p(X)|c))<~>((![X]: ~p(X))|c))),
% 0.13/0.59 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.59 fof(f4,plain,(
% 0.13/0.59 ((![X]: (~p(X)|c))|((![X]: ~p(X))|c))&((?[X]: (p(X)&~c))|((?[X]: p(X))&~c))),
% 0.13/0.59 inference(NNF_transformation,[status(esa)],[f3])).
% 0.13/0.59 fof(f5,plain,(
% 0.13/0.59 (((![X]: ~p(X))|c)|((![X]: ~p(X))|c))&(((?[X]: p(X))&~c)|((?[X]: p(X))&~c))),
% 0.13/0.59 inference(miniscoping,[status(esa)],[f4])).
% 0.13/0.59 fof(f6,plain,(
% 0.13/0.59 (((![X]: ~p(X))|c)|((![X]: ~p(X))|c))&((p(sk0_0)&~c)|(p(sk0_1)&~c))),
% 0.13/0.59 inference(skolemization,[status(esa)],[f5])).
% 0.13/0.59 fof(f7,plain,(
% 0.13/0.59 ![X0,X1]: (~p(X0)|c|~p(X1)|c)),
% 0.13/0.59 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.59 fof(f8,plain,(
% 0.13/0.59 p(sk0_0)|p(sk0_1)),
% 0.13/0.59 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.59 fof(f11,plain,(
% 0.13/0.59 ~c|~c),
% 0.13/0.59 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.59 fof(f12,plain,(
% 0.13/0.59 spl0_0 <=> ~p(X0)),
% 0.13/0.59 introduced(split_symbol_definition)).
% 0.13/0.59 fof(f13,plain,(
% 0.13/0.59 ![X0]: (~p(X0)|~spl0_0)),
% 0.13/0.59 inference(component_clause,[status(thm)],[f12])).
% 0.13/0.59 fof(f15,plain,(
% 0.13/0.59 spl0_1 <=> c),
% 0.13/0.59 introduced(split_symbol_definition)).
% 0.13/0.59 fof(f18,plain,(
% 0.13/0.59 spl0_0|spl0_1),
% 0.13/0.59 inference(split_clause,[status(thm)],[f7,f12,f15])).
% 0.13/0.59 fof(f19,plain,(
% 0.13/0.59 spl0_2 <=> p(sk0_0)),
% 0.13/0.59 introduced(split_symbol_definition)).
% 0.13/0.59 fof(f20,plain,(
% 0.13/0.59 p(sk0_0)|~spl0_2),
% 0.13/0.59 inference(component_clause,[status(thm)],[f19])).
% 0.13/0.59 fof(f22,plain,(
% 0.13/0.59 spl0_3 <=> p(sk0_1)),
% 0.13/0.59 introduced(split_symbol_definition)).
% 0.13/0.59 fof(f23,plain,(
% 0.13/0.59 p(sk0_1)|~spl0_3),
% 0.13/0.59 inference(component_clause,[status(thm)],[f22])).
% 0.13/0.59 fof(f25,plain,(
% 0.13/0.59 spl0_2|spl0_3),
% 0.13/0.59 inference(split_clause,[status(thm)],[f8,f19,f22])).
% 0.13/0.59 fof(f28,plain,(
% 0.13/0.59 ~spl0_1),
% 0.13/0.59 inference(split_clause,[status(thm)],[f11,f15])).
% 0.13/0.59 fof(f29,plain,(
% 0.13/0.59 $false|~spl0_0|~spl0_2),
% 0.13/0.59 inference(forward_subsumption_resolution,[status(thm)],[f20,f13])).
% 0.13/0.59 fof(f30,plain,(
% 0.13/0.59 ~spl0_0|~spl0_2),
% 0.13/0.59 inference(contradiction_clause,[status(thm)],[f29])).
% 0.13/0.59 fof(f31,plain,(
% 0.13/0.59 $false|~spl0_0|~spl0_3),
% 0.13/0.59 inference(forward_subsumption_resolution,[status(thm)],[f23,f13])).
% 0.13/0.59 fof(f32,plain,(
% 0.13/0.59 ~spl0_0|~spl0_3),
% 0.13/0.59 inference(contradiction_clause,[status(thm)],[f31])).
% 0.13/0.59 fof(f33,plain,(
% 0.13/0.59 $false),
% 0.13/0.59 inference(sat_refutation,[status(thm)],[f18,f25,f28,f30,f32])).
% 0.13/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.60 % Elapsed time: 0.016000 seconds
% 0.13/0.60 % CPU time: 0.026349 seconds
% 0.13/0.60 % Total memory used: 1.891 MB
% 0.13/0.60 % Net memory used: 1.728 MB
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