TSTP Solution File: SYN082+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN082+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:45:56 EDT 2023
% Result : Theorem 0.09s 0.30s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SYN082+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n019.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 10:27:10 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Drodi V3.5.1
% 0.09/0.30 % Refutation found
% 0.09/0.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.30 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.30 fof(f1,conjecture,(
% 0.09/0.30 (! [X] :( big_f(X,f(X))<=> (? [Y] :( (! [Z] :( big_f(Z,Y)=> big_f(Z,f(X)) ))& big_f(X,Y) ) )) )),
% 0.09/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.30 fof(f2,negated_conjecture,(
% 0.09/0.30 ~((! [X] :( big_f(X,f(X))<=> (? [Y] :( (! [Z] :( big_f(Z,Y)=> big_f(Z,f(X)) ))& big_f(X,Y) ) )) ))),
% 0.09/0.30 inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.30 fof(f3,plain,(
% 0.09/0.30 (?[X]: (big_f(X,f(X))<~>(?[Y]: ((![Z]: (~big_f(Z,Y)|big_f(Z,f(X))))&big_f(X,Y)))))),
% 0.09/0.30 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.09/0.30 fof(f4,plain,(
% 0.09/0.30 ?[X]: ((big_f(X,f(X))|(?[Y]: ((![Z]: (~big_f(Z,Y)|big_f(Z,f(X))))&big_f(X,Y))))&(~big_f(X,f(X))|(![Y]: ((?[Z]: (big_f(Z,Y)&~big_f(Z,f(X))))|~big_f(X,Y)))))),
% 0.09/0.30 inference(NNF_transformation,[status(esa)],[f3])).
% 0.09/0.30 fof(f5,plain,(
% 0.09/0.30 ((big_f(sk0_0,f(sk0_0))|((![Z]: (~big_f(Z,sk0_1)|big_f(Z,f(sk0_0))))&big_f(sk0_0,sk0_1)))&(~big_f(sk0_0,f(sk0_0))|(![Y]: ((big_f(sk0_2(Y),Y)&~big_f(sk0_2(Y),f(sk0_0)))|~big_f(sk0_0,Y)))))),
% 0.09/0.30 inference(skolemization,[status(esa)],[f4])).
% 0.09/0.30 fof(f6,plain,(
% 0.09/0.30 ![X0]: (big_f(sk0_0,f(sk0_0))|~big_f(X0,sk0_1)|big_f(X0,f(sk0_0)))),
% 0.09/0.30 inference(cnf_transformation,[status(esa)],[f5])).
% 0.09/0.30 fof(f7,plain,(
% 0.09/0.30 big_f(sk0_0,f(sk0_0))|big_f(sk0_0,sk0_1)),
% 0.09/0.30 inference(cnf_transformation,[status(esa)],[f5])).
% 0.09/0.30 fof(f8,plain,(
% 0.09/0.30 ![X0]: (~big_f(sk0_0,f(sk0_0))|big_f(sk0_2(X0),X0)|~big_f(sk0_0,X0))),
% 0.09/0.30 inference(cnf_transformation,[status(esa)],[f5])).
% 0.09/0.30 fof(f9,plain,(
% 0.09/0.30 ![X0]: (~big_f(sk0_0,f(sk0_0))|~big_f(sk0_2(X0),f(sk0_0))|~big_f(sk0_0,X0))),
% 0.09/0.30 inference(cnf_transformation,[status(esa)],[f5])).
% 0.09/0.30 fof(f10,plain,(
% 0.09/0.30 spl0_0 <=> big_f(sk0_0,f(sk0_0))),
% 0.09/0.30 introduced(split_symbol_definition)).
% 0.09/0.30 fof(f12,plain,(
% 0.09/0.30 ~big_f(sk0_0,f(sk0_0))|spl0_0),
% 0.09/0.30 inference(component_clause,[status(thm)],[f10])).
% 0.09/0.30 fof(f13,plain,(
% 0.09/0.30 spl0_1 <=> ~big_f(X0,sk0_1)|big_f(X0,f(sk0_0))),
% 0.09/0.30 introduced(split_symbol_definition)).
% 0.09/0.30 fof(f14,plain,(
% 0.09/0.30 ![X0]: (~big_f(X0,sk0_1)|big_f(X0,f(sk0_0))|~spl0_1)),
% 0.09/0.30 inference(component_clause,[status(thm)],[f13])).
% 0.09/0.30 fof(f16,plain,(
% 0.09/0.30 spl0_0|spl0_1),
% 0.09/0.30 inference(split_clause,[status(thm)],[f6,f10,f13])).
% 0.09/0.30 fof(f17,plain,(
% 0.09/0.30 spl0_2 <=> big_f(sk0_0,sk0_1)),
% 0.09/0.30 introduced(split_symbol_definition)).
% 0.09/0.30 fof(f18,plain,(
% 0.09/0.30 big_f(sk0_0,sk0_1)|~spl0_2),
% 0.09/0.30 inference(component_clause,[status(thm)],[f17])).
% 0.09/0.30 fof(f20,plain,(
% 0.09/0.30 spl0_0|spl0_2),
% 0.09/0.30 inference(split_clause,[status(thm)],[f7,f10,f17])).
% 0.09/0.30 fof(f21,plain,(
% 0.09/0.30 spl0_3 <=> big_f(sk0_2(X0),X0)|~big_f(sk0_0,X0)),
% 0.09/0.30 introduced(split_symbol_definition)).
% 0.09/0.30 fof(f22,plain,(
% 0.09/0.30 ![X0]: (big_f(sk0_2(X0),X0)|~big_f(sk0_0,X0)|~spl0_3)),
% 0.09/0.30 inference(component_clause,[status(thm)],[f21])).
% 0.09/0.30 fof(f24,plain,(
% 0.09/0.30 ~spl0_0|spl0_3),
% 0.09/0.30 inference(split_clause,[status(thm)],[f8,f10,f21])).
% 0.09/0.30 fof(f25,plain,(
% 0.09/0.30 spl0_4 <=> ~big_f(sk0_2(X0),f(sk0_0))|~big_f(sk0_0,X0)),
% 0.09/0.30 introduced(split_symbol_definition)).
% 0.09/0.30 fof(f26,plain,(
% 0.09/0.30 ![X0]: (~big_f(sk0_2(X0),f(sk0_0))|~big_f(sk0_0,X0)|~spl0_4)),
% 0.09/0.30 inference(component_clause,[status(thm)],[f25])).
% 0.09/0.30 fof(f28,plain,(
% 0.09/0.30 ~spl0_0|spl0_4),
% 0.09/0.30 inference(split_clause,[status(thm)],[f9,f10,f25])).
% 0.09/0.30 fof(f29,plain,(
% 0.09/0.30 ~big_f(sk0_0,f(sk0_0))|~big_f(sk0_0,f(sk0_0))|~spl0_4|~spl0_3),
% 0.09/0.30 inference(resolution,[status(thm)],[f26,f22])).
% 0.09/0.30 fof(f30,plain,(
% 0.09/0.30 ~spl0_0|~spl0_4|~spl0_3),
% 0.09/0.30 inference(split_clause,[status(thm)],[f29,f10,f25,f21])).
% 0.09/0.30 fof(f32,plain,(
% 0.09/0.30 ~big_f(sk0_0,sk0_1)|spl0_0|~spl0_1),
% 0.09/0.30 inference(resolution,[status(thm)],[f12,f14])).
% 0.09/0.30 fof(f33,plain,(
% 0.09/0.30 $false|~spl0_2|spl0_0|~spl0_1),
% 0.09/0.30 inference(forward_subsumption_resolution,[status(thm)],[f32,f18])).
% 0.09/0.30 fof(f34,plain,(
% 0.09/0.30 ~spl0_2|spl0_0|~spl0_1),
% 0.09/0.30 inference(contradiction_clause,[status(thm)],[f33])).
% 0.09/0.30 fof(f35,plain,(
% 0.09/0.30 $false),
% 0.09/0.30 inference(sat_refutation,[status(thm)],[f16,f20,f24,f28,f30,f34])).
% 0.09/0.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.51 % Elapsed time: 0.007365 seconds
% 0.14/0.51 % CPU time: 0.008405 seconds
% 0.14/0.51 % Memory used: 473.168 KB
%------------------------------------------------------------------------------