TSTP Solution File: SYN078+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN078+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:45:55 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN078+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.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 10:24:53 EDT 2023
% 0.13/0.34 % 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] :( (? [Y] :( big_p(Y)& X = f(Y) ))=> big_p(X) ))<=> (! [U] :( big_p(U)=> big_p(f(U)) ) )) ),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,negated_conjecture,(
% 0.13/0.36 ~(( (! [X] :( (? [Y] :( big_p(Y)& X = f(Y) ))=> big_p(X) ))<=> (! [U] :( big_p(U)=> big_p(f(U)) ) )) )),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.36 fof(f3,plain,(
% 0.13/0.36 ((![X]: ((![Y]: (~big_p(Y)|~X=f(Y)))|big_p(X)))<~>(![U]: (~big_p(U)|big_p(f(U)))))),
% 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)<=>((![Y]: (~big_p(Y)|~X=f(Y)))|big_p(X)))),
% 0.13/0.36 introduced(predicate_definition,[f3])).
% 0.13/0.36 fof(f5,plain,(
% 0.13/0.36 (![X]: pd0_0(X))<~>(![U]: (~big_p(U)|big_p(f(U))))),
% 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))|(![U]: (~big_p(U)|big_p(f(U)))))&((?[X]: ~pd0_0(X))|(?[U]: (big_p(U)&~big_p(f(U)))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f5])).
% 0.13/0.36 fof(f7,plain,(
% 0.13/0.36 ((![X]: pd0_0(X))|(![U]: (~big_p(U)|big_p(f(U)))))&(~pd0_0(sk0_0)|(big_p(sk0_1)&~big_p(f(sk0_1))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f6])).
% 0.13/0.36 fof(f8,plain,(
% 0.13/0.36 ![X0,X1]: (pd0_0(X0)|~big_p(X1)|big_p(f(X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f9,plain,(
% 0.13/0.36 ~pd0_0(sk0_0)|big_p(sk0_1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f10,plain,(
% 0.13/0.36 ~pd0_0(sk0_0)|~big_p(f(sk0_1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f11,plain,(
% 0.13/0.36 ![X]: ((~pd0_0(X)|((![Y]: (~big_p(Y)|~X=f(Y)))|big_p(X)))&(pd0_0(X)|((?[Y]: (big_p(Y)&X=f(Y)))&~big_p(X))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f4])).
% 0.13/0.36 fof(f12,plain,(
% 0.13/0.36 (![X]: (~pd0_0(X)|((![Y]: (~big_p(Y)|~X=f(Y)))|big_p(X))))&(![X]: (pd0_0(X)|((?[Y]: (big_p(Y)&X=f(Y)))&~big_p(X))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f11])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 (![X]: (~pd0_0(X)|((![Y]: (~big_p(Y)|~X=f(Y)))|big_p(X))))&(![X]: (pd0_0(X)|((big_p(sk0_2(X))&X=f(sk0_2(X)))&~big_p(X))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f12])).
% 0.13/0.36 fof(f14,plain,(
% 0.13/0.36 ![X0,X1]: (~pd0_0(X0)|~big_p(X1)|~X0=f(X1)|big_p(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f15,plain,(
% 0.13/0.36 ![X0]: (pd0_0(X0)|big_p(sk0_2(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f16,plain,(
% 0.13/0.36 ![X0]: (pd0_0(X0)|X0=f(sk0_2(X0)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 ![X0]: (pd0_0(X0)|~big_p(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.36 fof(f18,plain,(
% 0.13/0.36 spl0_0 <=> pd0_0(X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f19,plain,(
% 0.13/0.36 ![X0]: (pd0_0(X0)|~spl0_0)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f18])).
% 0.13/0.36 fof(f21,plain,(
% 0.13/0.36 spl0_1 <=> ~big_p(X1)|big_p(f(X1))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 ![X0]: (~big_p(X0)|big_p(f(X0))|~spl0_1)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f21])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f8,f18,f21])).
% 0.13/0.36 fof(f25,plain,(
% 0.13/0.36 spl0_2 <=> pd0_0(sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 ~pd0_0(sk0_0)|spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f25])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 spl0_3 <=> big_p(sk0_1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 big_p(sk0_1)|~spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f28])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ~spl0_2|spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f9,f25,f28])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 spl0_4 <=> big_p(f(sk0_1))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f34,plain,(
% 0.13/0.36 ~big_p(f(sk0_1))|spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f32])).
% 0.13/0.36 fof(f35,plain,(
% 0.13/0.36 ~spl0_2|~spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f10,f25,f32])).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ![X0]: (~pd0_0(f(X0))|~big_p(X0)|big_p(f(X0)))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f14])).
% 0.13/0.36 fof(f38,plain,(
% 0.13/0.36 ![X0]: (~big_p(X0)|big_p(f(X0))|~spl0_0)),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f36,f19])).
% 0.13/0.36 fof(f39,plain,(
% 0.13/0.36 $false|~spl0_0|spl0_2),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f27,f19])).
% 0.13/0.36 fof(f40,plain,(
% 0.13/0.36 ~spl0_0|spl0_2),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f39])).
% 0.13/0.36 fof(f43,plain,(
% 0.13/0.36 ~big_p(sk0_1)|~spl0_1|spl0_4),
% 0.13/0.36 inference(resolution,[status(thm)],[f22,f34])).
% 0.13/0.36 fof(f44,plain,(
% 0.13/0.36 $false|~spl0_3|~spl0_1|spl0_4),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f43,f29])).
% 0.13/0.36 fof(f45,plain,(
% 0.13/0.36 ~spl0_3|~spl0_1|spl0_4),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f44])).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 ![X0]: (~big_p(sk0_2(X0))|big_p(X0)|pd0_0(X0)|~spl0_1)),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f16,f22])).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 ![X0]: (big_p(X0)|pd0_0(X0)|~spl0_1)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f47,f15])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 ![X0]: (pd0_0(X0)|~spl0_1)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f48,f17])).
% 0.13/0.36 fof(f50,plain,(
% 0.13/0.36 $false|~spl0_1|spl0_2),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f27,f49])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 ~spl0_1|spl0_2),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f50])).
% 0.13/0.36 fof(f52,plain,(
% 0.13/0.36 spl0_1|~spl0_0),
% 0.13/0.36 inference(split_clause,[status(thm)],[f38,f21,f18])).
% 0.13/0.36 fof(f53,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f24,f31,f35,f40,f45,f51,f52])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.57 % Elapsed time: 0.012976 seconds
% 0.19/0.57 % CPU time: 0.028733 seconds
% 0.19/0.57 % Memory used: 11.376 MB
%------------------------------------------------------------------------------