TSTP Solution File: SYN918+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN918+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : Tue Apr 30 20:53:38 EDT 2024
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN918+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 21:58:58 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f1,conjecture,(
% 0.12/0.35 ( ( (! [X] :( ( ( f(X)& g(X) )=> h(X) )=> (? [Y] :( f(Y)& ~ g(Y) ) )))& ( (! [W] :( f(W)=> g(W) ))| (! [Z] :( f(Z)=> h(Z) ) )) )=> ( (! [R] :( ( f(R)& h(R) )=> g(R) ))=> (? [V] :( f(V)& g(V)& ~ h(V) ) )) ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f2,negated_conjecture,(
% 0.12/0.35 ~(( ( (! [X] :( ( ( f(X)& g(X) )=> h(X) )=> (? [Y] :( f(Y)& ~ g(Y) ) )))& ( (! [W] :( f(W)=> g(W) ))| (! [Z] :( f(Z)=> h(Z) ) )) )=> ( (! [R] :( ( f(R)& h(R) )=> g(R) ))=> (? [V] :( f(V)& g(V)& ~ h(V) ) )) ) )),
% 0.12/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.35 fof(f3,plain,(
% 0.12/0.35 (((![X]: (((f(X)&g(X))&~h(X))|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V)))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.35 fof(f4,plain,(
% 0.12/0.35 ![X]: (pd0_0(X)=>((f(X)&g(X))&~h(X)))),
% 0.12/0.35 introduced(predicate_definition,[f3])).
% 0.12/0.35 fof(f5,plain,(
% 0.12/0.35 ((![X]: (pd0_0(X)|(?[Y]: (f(Y)&~g(Y)))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))),
% 0.12/0.35 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.12/0.35 fof(f6,plain,(
% 0.12/0.35 (((![X]: pd0_0(X))|(?[Y]: (f(Y)&~g(Y))))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f5])).
% 0.12/0.35 fof(f7,plain,(
% 0.12/0.35 (((![X]: pd0_0(X))|(f(sk0_0)&~g(sk0_0)))&((![W]: (~f(W)|g(W)))|(![Z]: (~f(Z)|h(Z)))))&((![R]: ((~f(R)|~h(R))|g(R)))&(![V]: ((~f(V)|~g(V))|h(V))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f6])).
% 0.12/0.35 fof(f8,plain,(
% 0.12/0.35 ![X0]: (pd0_0(X0)|f(sk0_0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f9,plain,(
% 0.12/0.35 ![X0]: (pd0_0(X0)|~g(sk0_0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f10,plain,(
% 0.12/0.35 ![X0,X1]: (~f(X0)|g(X0)|~f(X1)|h(X1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f11,plain,(
% 0.12/0.35 ![X0]: (~f(X0)|~h(X0)|g(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f12,plain,(
% 0.12/0.35 ![X0]: (~f(X0)|~g(X0)|h(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f13,plain,(
% 0.12/0.35 ![X]: (~pd0_0(X)|((f(X)&g(X))&~h(X)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.12/0.35 fof(f14,plain,(
% 0.12/0.35 ![X0]: (~pd0_0(X0)|f(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.35 fof(f15,plain,(
% 0.12/0.35 ![X0]: (~pd0_0(X0)|g(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.35 fof(f16,plain,(
% 0.12/0.35 ![X0]: (~pd0_0(X0)|~h(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.35 fof(f17,plain,(
% 0.12/0.35 spl0_0 <=> pd0_0(X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f18,plain,(
% 0.12/0.35 ![X0]: (pd0_0(X0)|~spl0_0)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f17])).
% 0.12/0.35 fof(f20,plain,(
% 0.12/0.35 spl0_1 <=> f(sk0_0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f21,plain,(
% 0.12/0.35 f(sk0_0)|~spl0_1),
% 0.12/0.35 inference(component_clause,[status(thm)],[f20])).
% 0.12/0.35 fof(f23,plain,(
% 0.12/0.35 spl0_0|spl0_1),
% 0.12/0.35 inference(split_clause,[status(thm)],[f8,f17,f20])).
% 0.12/0.35 fof(f24,plain,(
% 0.12/0.35 spl0_2 <=> g(sk0_0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f26,plain,(
% 0.12/0.35 ~g(sk0_0)|spl0_2),
% 0.12/0.35 inference(component_clause,[status(thm)],[f24])).
% 0.12/0.35 fof(f27,plain,(
% 0.12/0.35 spl0_0|~spl0_2),
% 0.12/0.35 inference(split_clause,[status(thm)],[f9,f17,f24])).
% 0.12/0.35 fof(f28,plain,(
% 0.12/0.35 spl0_3 <=> ~f(X0)|g(X0)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f29,plain,(
% 0.12/0.35 ![X0]: (~f(X0)|g(X0)|~spl0_3)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f28])).
% 0.12/0.35 fof(f31,plain,(
% 0.12/0.35 spl0_4 <=> ~f(X1)|h(X1)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f32,plain,(
% 0.12/0.35 ![X0]: (~f(X0)|h(X0)|~spl0_4)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f31])).
% 0.12/0.35 fof(f34,plain,(
% 0.12/0.35 spl0_3|spl0_4),
% 0.12/0.35 inference(split_clause,[status(thm)],[f10,f28,f31])).
% 0.12/0.35 fof(f35,plain,(
% 0.12/0.35 ![X0]: (f(X0)|~spl0_0)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f14,f18])).
% 0.12/0.35 fof(f36,plain,(
% 0.12/0.35 ![X0]: (g(X0)|~spl0_0)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f15,f18])).
% 0.12/0.35 fof(f37,plain,(
% 0.12/0.35 ![X0]: (~h(X0)|~spl0_0)),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f16,f18])).
% 0.12/0.36 fof(f38,plain,(
% 0.12/0.36 ![X0]: (~g(X0)|h(X0)|~spl0_0)),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f12,f35])).
% 0.12/0.36 fof(f39,plain,(
% 0.12/0.36 ![X0]: (~g(X0)|~spl0_0)),
% 0.12/0.36 inference(resolution,[status(thm)],[f38,f37])).
% 0.12/0.36 fof(f40,plain,(
% 0.12/0.36 $false|~spl0_0),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f39,f36])).
% 0.12/0.36 fof(f41,plain,(
% 0.12/0.36 ~spl0_0),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f40])).
% 0.12/0.36 fof(f43,plain,(
% 0.12/0.36 ~f(sk0_0)|spl0_2|~spl0_3),
% 0.12/0.36 inference(resolution,[status(thm)],[f26,f29])).
% 0.12/0.36 fof(f44,plain,(
% 0.12/0.36 $false|~spl0_1|spl0_2|~spl0_3),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f43,f21])).
% 0.12/0.36 fof(f45,plain,(
% 0.12/0.36 ~spl0_1|spl0_2|~spl0_3),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f44])).
% 0.12/0.36 fof(f46,plain,(
% 0.12/0.36 ![X0]: (~f(X0)|g(X0)|~spl0_4)),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f11,f32])).
% 0.12/0.36 fof(f47,plain,(
% 0.12/0.36 ~f(sk0_0)|~spl0_4|spl0_2),
% 0.12/0.36 inference(resolution,[status(thm)],[f46,f26])).
% 0.12/0.36 fof(f48,plain,(
% 0.12/0.36 $false|~spl0_1|~spl0_4|spl0_2),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f47,f21])).
% 0.12/0.36 fof(f49,plain,(
% 0.12/0.36 ~spl0_1|~spl0_4|spl0_2),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f48])).
% 0.12/0.36 fof(f50,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f23,f27,f34,f41,f45,f49])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.37 % Elapsed time: 0.016778 seconds
% 0.12/0.37 % CPU time: 0.032804 seconds
% 0.12/0.37 % Total memory used: 1.917 MB
% 0.12/0.37 % Net memory used: 1.811 MB
%------------------------------------------------------------------------------