TSTP Solution File: SYN920+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN920+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:48:25 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN920+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 10:26:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,conjecture,(
% 0.13/0.37 ( ( ( (! [X] :( ( f(X)& g(X) )=> h(X) ))=> (? [X] :( f(X)& ~ g(X) ) ))& ( (! [W] :( f(W)=> g(W) ))| (! [Z] :( f(Z)=> h(Z) ) )) )=> ( (! [R] :( ( f(R)& h(R) )=> g(R) ))=> (? [V] :( f(V)& g(V)& ~ h(V) ) )) ) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,negated_conjecture,(
% 0.13/0.37 ~(( ( ( (! [X] :( ( f(X)& g(X) )=> h(X) ))=> (? [X] :( f(X)& ~ g(X) ) ))& ( (! [W] :( f(W)=> g(W) ))| (! [Z] :( f(Z)=> h(Z) ) )) )=> ( (! [R] :( ( f(R)& h(R) )=> g(R) ))=> (? [V] :( f(V)& g(V)& ~ h(V) ) )) ) )),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/0.37 fof(f3,plain,(
% 0.13/0.37 ((((?[X]: ((f(X)&g(X))&~h(X)))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.37 fof(f4,plain,(
% 0.13/0.37 ![X]: (pd0_0(X)=>((f(X)&g(X))&~h(X)))),
% 0.13/0.37 introduced(predicate_definition,[f3])).
% 0.13/0.37 fof(f5,plain,(
% 0.13/0.37 (((?[X]: pd0_0(X))|(?[X]: (f(X)&~g(X))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))),
% 0.13/0.37 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.13/0.37 fof(f6,plain,(
% 0.13/0.37 ((pd0_0(sk0_0)|(f(sk0_1)&~g(sk0_1)))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f5])).
% 0.13/0.37 fof(f7,plain,(
% 0.13/0.37 pd0_0(sk0_0)|f(sk0_1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.37 fof(f8,plain,(
% 0.13/0.37 pd0_0(sk0_0)|~g(sk0_1)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.37 fof(f9,plain,(
% 0.13/0.37 ![X0,X1]: (~f(X0)|g(X0)|~f(X1)|h(X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.37 fof(f10,plain,(
% 0.13/0.37 ![X0]: (~f(X0)|~h(X0)|g(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.37 fof(f11,plain,(
% 0.13/0.37 ![X0]: (~f(X0)|~g(X0)|h(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.37 fof(f12,plain,(
% 0.13/0.37 ![X]: (~pd0_0(X)|((f(X)&g(X))&~h(X)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.37 fof(f13,plain,(
% 0.13/0.37 ![X0]: (~pd0_0(X0)|f(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.37 fof(f15,plain,(
% 0.13/0.37 ![X0]: (~pd0_0(X0)|~h(X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.37 fof(f16,plain,(
% 0.13/0.37 spl0_0 <=> pd0_0(sk0_0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f17,plain,(
% 0.13/0.37 pd0_0(sk0_0)|~spl0_0),
% 0.13/0.37 inference(component_clause,[status(thm)],[f16])).
% 0.13/0.37 fof(f19,plain,(
% 0.13/0.37 spl0_1 <=> f(sk0_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 f(sk0_1)|~spl0_1),
% 0.13/0.37 inference(component_clause,[status(thm)],[f19])).
% 0.13/0.37 fof(f22,plain,(
% 0.13/0.37 spl0_0|spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f7,f16,f19])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 spl0_2 <=> g(sk0_1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f25,plain,(
% 0.13/0.37 ~g(sk0_1)|spl0_2),
% 0.13/0.37 inference(component_clause,[status(thm)],[f23])).
% 0.13/0.37 fof(f26,plain,(
% 0.13/0.37 spl0_0|~spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f8,f16,f23])).
% 0.13/0.37 fof(f27,plain,(
% 0.13/0.37 spl0_3 <=> ~f(X0)|g(X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f28,plain,(
% 0.13/0.37 ![X0]: (~f(X0)|g(X0)|~spl0_3)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f27])).
% 0.13/0.37 fof(f30,plain,(
% 0.13/0.37 spl0_4 <=> ~f(X1)|h(X1)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f31,plain,(
% 0.13/0.37 ![X0]: (~f(X0)|h(X0)|~spl0_4)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f30])).
% 0.13/0.37 fof(f33,plain,(
% 0.13/0.37 spl0_3|spl0_4),
% 0.13/0.37 inference(split_clause,[status(thm)],[f9,f27,f30])).
% 0.13/0.37 fof(f34,plain,(
% 0.13/0.37 ![X0]: (~f(X0)|h(X0)|~spl0_3)),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f11,f28])).
% 0.13/0.37 fof(f34,plain,(
% 0.13/0.37 ![X0]: (~f(X0)|h(X0)|~spl0_3)),
% 0.13/0.37 inference(backward_subsumption_resolution,[status(thm)],[f11,f28])).
% 0.13/0.37 fof(f35,plain,(
% 0.13/0.37 ~h(sk0_0)|~spl0_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f17,f15])).
% 0.13/0.37 fof(f37,plain,(
% 0.13/0.37 f(sk0_0)|~spl0_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f17,f13])).
% 0.13/0.37 fof(f39,plain,(
% 0.13/0.37 ~f(sk0_0)|~spl0_3|~spl0_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f34,f35])).
% 0.13/0.37 fof(f40,plain,(
% 0.13/0.37 $false|~spl0_3|~spl0_0),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f39,f37])).
% 0.13/0.37 fof(f41,plain,(
% 0.13/0.37 ~spl0_3|~spl0_0),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f40])).
% 0.13/0.37 fof(f42,plain,(
% 0.13/0.37 ![X0]: (~f(X0)|g(X0)|~spl0_4)),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f10,f31])).
% 0.13/0.37 fof(f43,plain,(
% 0.13/0.37 ~f(sk0_1)|~spl0_4|spl0_2),
% 0.13/0.37 inference(resolution,[status(thm)],[f42,f25])).
% 0.13/0.37 fof(f44,plain,(
% 0.13/0.37 $false|~spl0_1|~spl0_4|spl0_2),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f43,f20])).
% 0.13/0.37 fof(f45,plain,(
% 0.13/0.37 ~spl0_1|~spl0_4|spl0_2),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f44])).
% 0.13/0.37 fof(f49,plain,(
% 0.13/0.37 ~f(sk0_0)|~spl0_0|~spl0_4),
% 0.13/0.37 inference(resolution,[status(thm)],[f35,f31])).
% 0.13/0.37 fof(f50,plain,(
% 0.13/0.37 $false|~spl0_0|~spl0_4),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f49,f37])).
% 0.13/0.37 fof(f51,plain,(
% 0.13/0.37 ~spl0_0|~spl0_4),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f50])).
% 0.13/0.37 fof(f52,plain,(
% 0.13/0.37 spl0_4|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f34,f30,f27])).
% 0.13/0.37 fof(f55,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f22,f26,f33,f41,f45,f51,f52])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.019378 seconds
% 0.13/0.37 % CPU time: 0.034177 seconds
% 0.13/0.37 % Memory used: 2.525 MB
%------------------------------------------------------------------------------