TSTP Solution File: SYN415+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:46:46 EDT 2023
% Result : Theorem 0.12s 0.31s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SYN415+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.30 % Computer : n032.cluster.edu
% 0.07/0.30 % Model : x86_64 x86_64
% 0.07/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.30 % Memory : 8042.1875MB
% 0.07/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.30 % CPULimit : 300
% 0.07/0.30 % WCLimit : 300
% 0.07/0.30 % DateTime : Tue May 30 10:29:46 EDT 2023
% 0.07/0.30 % CPUTime :
% 0.07/0.30 % Drodi V3.5.1
% 0.12/0.31 % Refutation found
% 0.12/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.31 fof(f1,conjecture,(
% 0.12/0.31 ( ( (? [X] : f(X))& (! [Y,Z] :( ( f(Y)& f(Z) )=> Y = Z ) ))<=> (? [U] :( f(U)& (! [V] :( f(V)=> U = V ) )) )) ),
% 0.12/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.31 fof(f2,negated_conjecture,(
% 0.12/0.31 ~(( ( (? [X] : f(X))& (! [Y,Z] :( ( f(Y)& f(Z) )=> Y = Z ) ))<=> (? [U] :( f(U)& (! [V] :( f(V)=> U = V ) )) )) )),
% 0.12/0.31 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.31 fof(f3,plain,(
% 0.12/0.31 (((?[X]: f(X))&(![Y,Z]: ((~f(Y)|~f(Z))|Y=Z)))<~>(?[U]: (f(U)&(![V]: (~f(V)|U=V)))))),
% 0.12/0.31 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.31 fof(f4,plain,(
% 0.12/0.31 pd0_0<=>((?[X]: f(X))&(![Y,Z]: ((~f(Y)|~f(Z))|Y=Z)))),
% 0.12/0.31 introduced(predicate_definition,[f3])).
% 0.12/0.31 fof(f5,plain,(
% 0.12/0.31 pd0_0<~>(?[U]: (f(U)&(![V]: (~f(V)|U=V))))),
% 0.12/0.31 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.12/0.31 fof(f6,plain,(
% 0.12/0.31 (pd0_0|(?[U]: (f(U)&(![V]: (~f(V)|U=V)))))&(~pd0_0|(![U]: (~f(U)|(?[V]: (f(V)&~U=V)))))),
% 0.12/0.31 inference(NNF_transformation,[status(esa)],[f5])).
% 0.12/0.31 fof(f7,plain,(
% 0.12/0.31 (pd0_0|(f(sk0_0)&(![V]: (~f(V)|sk0_0=V))))&(~pd0_0|(![U]: (~f(U)|(f(sk0_1(U))&~U=sk0_1(U)))))),
% 0.12/0.31 inference(skolemization,[status(esa)],[f6])).
% 0.12/0.31 fof(f8,plain,(
% 0.12/0.31 pd0_0|f(sk0_0)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.31 fof(f9,plain,(
% 0.12/0.31 ![X0]: (pd0_0|~f(X0)|sk0_0=X0)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.31 fof(f10,plain,(
% 0.12/0.31 ![X0]: (~pd0_0|~f(X0)|f(sk0_1(X0)))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.31 fof(f11,plain,(
% 0.12/0.31 ![X0]: (~pd0_0|~f(X0)|~X0=sk0_1(X0))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.31 fof(f12,plain,(
% 0.12/0.31 (~pd0_0|((?[X]: f(X))&(![Y,Z]: ((~f(Y)|~f(Z))|Y=Z))))&(pd0_0|((![X]: ~f(X))|(?[Y,Z]: ((f(Y)&f(Z))&~Y=Z))))),
% 0.12/0.31 inference(NNF_transformation,[status(esa)],[f4])).
% 0.12/0.31 fof(f13,plain,(
% 0.12/0.31 (~pd0_0|(f(sk0_2)&(![Y,Z]: ((~f(Y)|~f(Z))|Y=Z))))&(pd0_0|((![X]: ~f(X))|((f(sk0_3)&f(sk0_4))&~sk0_3=sk0_4)))),
% 0.12/0.31 inference(skolemization,[status(esa)],[f12])).
% 0.12/0.31 fof(f14,plain,(
% 0.12/0.31 ~pd0_0|f(sk0_2)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.31 fof(f15,plain,(
% 0.12/0.31 ![X0,X1]: (~pd0_0|~f(X0)|~f(X1)|X0=X1)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.31 fof(f16,plain,(
% 0.12/0.31 ![X0]: (pd0_0|~f(X0)|f(sk0_3))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.31 fof(f17,plain,(
% 0.12/0.31 ![X0]: (pd0_0|~f(X0)|f(sk0_4))),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.31 fof(f18,plain,(
% 0.12/0.31 ![X0]: (pd0_0|~f(X0)|~sk0_3=sk0_4)),
% 0.12/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.31 fof(f19,plain,(
% 0.12/0.31 spl0_0 <=> pd0_0),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f22,plain,(
% 0.12/0.31 spl0_1 <=> f(sk0_0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f23,plain,(
% 0.12/0.31 f(sk0_0)|~spl0_1),
% 0.12/0.31 inference(component_clause,[status(thm)],[f22])).
% 0.12/0.31 fof(f25,plain,(
% 0.12/0.31 spl0_0|spl0_1),
% 0.12/0.31 inference(split_clause,[status(thm)],[f8,f19,f22])).
% 0.12/0.31 fof(f26,plain,(
% 0.12/0.31 spl0_2 <=> ~f(X0)|sk0_0=X0),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f27,plain,(
% 0.12/0.31 ![X0]: (~f(X0)|sk0_0=X0|~spl0_2)),
% 0.12/0.31 inference(component_clause,[status(thm)],[f26])).
% 0.12/0.31 fof(f29,plain,(
% 0.12/0.31 spl0_0|spl0_2),
% 0.12/0.31 inference(split_clause,[status(thm)],[f9,f19,f26])).
% 0.12/0.31 fof(f30,plain,(
% 0.12/0.31 spl0_3 <=> ~f(X0)|f(sk0_1(X0))),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f31,plain,(
% 0.12/0.31 ![X0]: (~f(X0)|f(sk0_1(X0))|~spl0_3)),
% 0.12/0.31 inference(component_clause,[status(thm)],[f30])).
% 0.12/0.31 fof(f33,plain,(
% 0.12/0.31 ~spl0_0|spl0_3),
% 0.12/0.31 inference(split_clause,[status(thm)],[f10,f19,f30])).
% 0.12/0.31 fof(f34,plain,(
% 0.12/0.31 spl0_4 <=> ~f(X0)|~X0=sk0_1(X0)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f35,plain,(
% 0.12/0.31 ![X0]: (~f(X0)|~X0=sk0_1(X0)|~spl0_4)),
% 0.12/0.31 inference(component_clause,[status(thm)],[f34])).
% 0.12/0.31 fof(f37,plain,(
% 0.12/0.31 ~spl0_0|spl0_4),
% 0.12/0.31 inference(split_clause,[status(thm)],[f11,f19,f34])).
% 0.12/0.31 fof(f38,plain,(
% 0.12/0.31 spl0_5 <=> f(sk0_2)),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f39,plain,(
% 0.12/0.31 f(sk0_2)|~spl0_5),
% 0.12/0.31 inference(component_clause,[status(thm)],[f38])).
% 0.12/0.31 fof(f41,plain,(
% 0.12/0.31 ~spl0_0|spl0_5),
% 0.12/0.31 inference(split_clause,[status(thm)],[f14,f19,f38])).
% 0.12/0.31 fof(f42,plain,(
% 0.12/0.31 spl0_6 <=> ~f(X0)|~f(X1)|X0=X1),
% 0.12/0.31 introduced(split_symbol_definition)).
% 0.12/0.31 fof(f43,plain,(
% 0.12/0.31 ![X0,X1]: (~f(X0)|~f(X1)|X0=X1|~spl0_6)),
% 0.12/0.32 inference(component_clause,[status(thm)],[f42])).
% 0.12/0.32 fof(f45,plain,(
% 0.12/0.32 ~spl0_0|spl0_6),
% 0.12/0.32 inference(split_clause,[status(thm)],[f15,f19,f42])).
% 0.12/0.32 fof(f46,plain,(
% 0.12/0.32 spl0_7 <=> ~f(X0)),
% 0.12/0.32 introduced(split_symbol_definition)).
% 0.12/0.32 fof(f47,plain,(
% 0.12/0.32 ![X0]: (~f(X0)|~spl0_7)),
% 0.12/0.32 inference(component_clause,[status(thm)],[f46])).
% 0.12/0.32 fof(f49,plain,(
% 0.12/0.32 spl0_8 <=> f(sk0_3)),
% 0.12/0.32 introduced(split_symbol_definition)).
% 0.12/0.32 fof(f50,plain,(
% 0.12/0.32 f(sk0_3)|~spl0_8),
% 0.12/0.32 inference(component_clause,[status(thm)],[f49])).
% 0.12/0.32 fof(f52,plain,(
% 0.12/0.32 spl0_0|spl0_7|spl0_8),
% 0.12/0.32 inference(split_clause,[status(thm)],[f16,f19,f46,f49])).
% 0.12/0.32 fof(f53,plain,(
% 0.12/0.32 spl0_9 <=> f(sk0_4)),
% 0.12/0.32 introduced(split_symbol_definition)).
% 0.12/0.32 fof(f54,plain,(
% 0.12/0.32 f(sk0_4)|~spl0_9),
% 0.12/0.32 inference(component_clause,[status(thm)],[f53])).
% 0.12/0.32 fof(f56,plain,(
% 0.12/0.32 spl0_0|spl0_7|spl0_9),
% 0.12/0.32 inference(split_clause,[status(thm)],[f17,f19,f46,f53])).
% 0.12/0.32 fof(f57,plain,(
% 0.12/0.32 spl0_10 <=> sk0_3=sk0_4),
% 0.12/0.32 introduced(split_symbol_definition)).
% 0.12/0.32 fof(f59,plain,(
% 0.12/0.32 ~sk0_3=sk0_4|spl0_10),
% 0.12/0.32 inference(component_clause,[status(thm)],[f57])).
% 0.12/0.32 fof(f60,plain,(
% 0.12/0.32 spl0_0|spl0_7|~spl0_10),
% 0.12/0.32 inference(split_clause,[status(thm)],[f18,f19,f46,f57])).
% 0.12/0.32 fof(f61,plain,(
% 0.12/0.32 $false|~spl0_7|~spl0_1),
% 0.12/0.32 inference(forward_subsumption_resolution,[status(thm)],[f23,f47])).
% 0.12/0.32 fof(f62,plain,(
% 0.12/0.32 ~spl0_7|~spl0_1),
% 0.12/0.32 inference(contradiction_clause,[status(thm)],[f61])).
% 0.12/0.32 fof(f64,plain,(
% 0.12/0.32 ~sk0_2=sk0_1(sk0_2)|~spl0_4|~spl0_5),
% 0.12/0.32 inference(resolution,[status(thm)],[f35,f39])).
% 0.12/0.32 fof(f66,plain,(
% 0.12/0.32 ![X0]: (~f(X0)|X0=sk0_2|~spl0_6|~spl0_5)),
% 0.12/0.32 inference(resolution,[status(thm)],[f43,f39])).
% 0.12/0.32 fof(f67,plain,(
% 0.12/0.32 ![X0]: (sk0_1(X0)=sk0_2|~f(X0)|~spl0_6|~spl0_5|~spl0_3)),
% 0.12/0.32 inference(resolution,[status(thm)],[f66,f31])).
% 0.12/0.32 fof(f69,plain,(
% 0.12/0.32 sk0_1(sk0_2)=sk0_2|~spl0_6|~spl0_3|~spl0_5),
% 0.12/0.32 inference(resolution,[status(thm)],[f67,f39])).
% 0.12/0.32 fof(f70,plain,(
% 0.12/0.32 $false|~spl0_4|~spl0_6|~spl0_3|~spl0_5),
% 0.12/0.32 inference(forward_subsumption_resolution,[status(thm)],[f69,f64])).
% 0.12/0.32 fof(f71,plain,(
% 0.12/0.32 ~spl0_4|~spl0_6|~spl0_3|~spl0_5),
% 0.12/0.32 inference(contradiction_clause,[status(thm)],[f70])).
% 0.12/0.32 fof(f75,plain,(
% 0.12/0.32 sk0_0=sk0_4|~spl0_2|~spl0_9),
% 0.12/0.32 inference(resolution,[status(thm)],[f27,f54])).
% 0.12/0.32 fof(f76,plain,(
% 0.12/0.32 sk0_0=sk0_3|~spl0_2|~spl0_8),
% 0.12/0.32 inference(resolution,[status(thm)],[f27,f50])).
% 0.12/0.32 fof(f78,plain,(
% 0.12/0.32 ~sk0_3=sk0_0|~spl0_2|~spl0_9|spl0_10),
% 0.12/0.32 inference(backward_demodulation,[status(thm)],[f75,f59])).
% 0.12/0.32 fof(f79,plain,(
% 0.12/0.32 ~sk0_0=sk0_0|~spl0_8|~spl0_2|~spl0_9|spl0_10),
% 0.12/0.32 inference(forward_demodulation,[status(thm)],[f76,f78])).
% 0.12/0.32 fof(f80,plain,(
% 0.12/0.32 $false|~spl0_8|~spl0_2|~spl0_9|spl0_10),
% 0.12/0.32 inference(trivial_equality_resolution,[status(esa)],[f79])).
% 0.12/0.32 fof(f81,plain,(
% 0.12/0.32 ~spl0_8|~spl0_2|~spl0_9|spl0_10),
% 0.12/0.32 inference(contradiction_clause,[status(thm)],[f80])).
% 0.12/0.32 fof(f82,plain,(
% 0.12/0.32 $false),
% 0.12/0.32 inference(sat_refutation,[status(thm)],[f25,f29,f33,f37,f41,f45,f52,f56,f60,f62,f71,f81])).
% 0.12/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.32 % Elapsed time: 0.013711 seconds
% 0.12/0.32 % CPU time: 0.019204 seconds
% 0.12/0.32 % Memory used: 11.386 MB
%------------------------------------------------------------------------------