TSTP Solution File: SYN077+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN077+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 0.12s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN077+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n012.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue May 30 10:24:10 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.5.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (! [Y] :(? [Z] :(! [X] :( big_f(X,Z)<=> X = Y ) )))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,conjecture,(
% 0.12/0.37 ~ (? [W] :(! [X] :( big_f(X,W)<=> (! [U] :( big_f(X,U)=> (? [Y] :( big_f(Y,U)& ~ (? [Z] :( big_f(Z,U)& big_f(Z,Y) ) )) )) )) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,negated_conjecture,(
% 0.12/0.37 ~(~ (? [W] :(! [X] :( big_f(X,W)<=> (! [U] :( big_f(X,U)=> (? [Y] :( big_f(Y,U)& ~ (? [Z] :( big_f(Z,U)& big_f(Z,Y) ) )) )) )) )))),
% 0.12/0.37 inference(negated_conjecture,[status(cth)],[f2])).
% 0.12/0.37 fof(f4,plain,(
% 0.12/0.37 ![Y]: ?[Z]: ![X]: ((~big_f(X,Z)|X=Y)&(big_f(X,Z)|~X=Y))),
% 0.12/0.37 inference(NNF_transformation,[status(esa)],[f1])).
% 0.12/0.37 fof(f5,plain,(
% 0.12/0.37 ![Y]: ?[Z]: ((![X]: (~big_f(X,Z)|X=Y))&(![X]: (big_f(X,Z)|~X=Y)))),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f4])).
% 0.12/0.37 fof(f6,plain,(
% 0.12/0.37 ![Y]: ((![X]: (~big_f(X,sk0_0(Y))|X=Y))&(![X]: (big_f(X,sk0_0(Y))|~X=Y)))),
% 0.12/0.37 inference(skolemization,[status(esa)],[f5])).
% 0.12/0.37 fof(f7,plain,(
% 0.12/0.37 ![X0,X1]: (~big_f(X0,sk0_0(X1))|X0=X1)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.37 fof(f8,plain,(
% 0.12/0.37 ![X0,X1]: (big_f(X0,sk0_0(X1))|~X0=X1)),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.37 fof(f9,plain,(
% 0.12/0.37 ?[W]: (![X]: (big_f(X,W)<=>(![U]: (~big_f(X,U)|(?[Y]: (big_f(Y,U)&(![Z]: (~big_f(Z,U)|~big_f(Z,Y)))))))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.12/0.37 fof(f10,plain,(
% 0.12/0.37 ?[W]: ![X]: ((~big_f(X,W)|(![U]: (~big_f(X,U)|(?[Y]: (big_f(Y,U)&(![Z]: (~big_f(Z,U)|~big_f(Z,Y))))))))&(big_f(X,W)|(?[U]: (big_f(X,U)&(![Y]: (~big_f(Y,U)|(?[Z]: (big_f(Z,U)&big_f(Z,Y)))))))))),
% 0.12/0.37 inference(NNF_transformation,[status(esa)],[f9])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 ?[W]: ((![X]: (~big_f(X,W)|(![U]: (~big_f(X,U)|(?[Y]: (big_f(Y,U)&(![Z]: (~big_f(Z,U)|~big_f(Z,Y)))))))))&(![X]: (big_f(X,W)|(?[U]: (big_f(X,U)&(![Y]: (~big_f(Y,U)|(?[Z]: (big_f(Z,U)&big_f(Z,Y))))))))))),
% 0.12/0.37 inference(miniscoping,[status(esa)],[f10])).
% 0.12/0.37 fof(f12,plain,(
% 0.12/0.37 ((![X]: (~big_f(X,sk0_1)|(![U]: (~big_f(X,U)|(big_f(sk0_2(U,X),U)&(![Z]: (~big_f(Z,U)|~big_f(Z,sk0_2(U,X)))))))))&(![X]: (big_f(X,sk0_1)|(big_f(X,sk0_3(X))&(![Y]: (~big_f(Y,sk0_3(X))|(big_f(sk0_4(Y,X),sk0_3(X))&big_f(sk0_4(Y,X),Y))))))))),
% 0.12/0.37 inference(skolemization,[status(esa)],[f11])).
% 0.12/0.37 fof(f13,plain,(
% 0.12/0.37 ![X0,X1]: (~big_f(X0,sk0_1)|~big_f(X0,X1)|big_f(sk0_2(X1,X0),X1))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~big_f(X0,sk0_1)|~big_f(X0,X1)|~big_f(X2,X1)|~big_f(X2,sk0_2(X1,X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ![X0]: (big_f(X0,sk0_1)|big_f(X0,sk0_3(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 ![X0,X1]: (big_f(X0,sk0_1)|~big_f(X1,sk0_3(X0))|big_f(sk0_4(X1,X0),sk0_3(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.37 fof(f17,plain,(
% 0.12/0.37 ![X0,X1]: (big_f(X0,sk0_1)|~big_f(X1,sk0_3(X0))|big_f(sk0_4(X1,X0),X1))),
% 0.12/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.37 fof(f18,plain,(
% 0.12/0.37 ![X0]: (big_f(X0,sk0_0(X0)))),
% 0.12/0.37 inference(destructive_equality_resolution,[status(esa)],[f8])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 ![X0,X1]: (big_f(X0,sk0_1)|~big_f(sk0_1,sk0_3(X0))|~big_f(sk0_4(sk0_1,X0),X1)|big_f(sk0_2(X1,sk0_4(sk0_1,X0)),X1))),
% 0.12/0.37 inference(resolution,[status(thm)],[f17,f13])).
% 0.12/0.37 fof(f20,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~big_f(sk0_4(sk0_1,X0),X1)|~big_f(X2,X1)|~big_f(X2,sk0_2(X1,sk0_4(sk0_1,X0)))|big_f(X0,sk0_1)|~big_f(sk0_1,sk0_3(X0)))),
% 0.12/0.37 inference(resolution,[status(thm)],[f14,f17])).
% 0.12/0.37 fof(f21,plain,(
% 0.12/0.37 spl0_0 <=> big_f(sk0_1,sk0_1)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f22,plain,(
% 0.12/0.37 big_f(sk0_1,sk0_1)|~spl0_0),
% 0.12/0.37 inference(component_clause,[status(thm)],[f21])).
% 0.12/0.37 fof(f24,plain,(
% 0.12/0.37 spl0_1 <=> ~big_f(sk0_4(sk0_1,sk0_1),X0)|big_f(sk0_2(X0,sk0_4(sk0_1,sk0_1)),X0)),
% 0.12/0.37 introduced(split_symbol_definition)).
% 0.12/0.37 fof(f25,plain,(
% 0.12/0.37 ![X0]: (~big_f(sk0_4(sk0_1,sk0_1),X0)|big_f(sk0_2(X0,sk0_4(sk0_1,sk0_1)),X0)|~spl0_1)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f24])).
% 0.12/0.37 fof(f27,plain,(
% 0.12/0.37 ![X0]: (big_f(sk0_1,sk0_1)|~big_f(sk0_4(sk0_1,sk0_1),X0)|big_f(sk0_2(X0,sk0_4(sk0_1,sk0_1)),X0)|big_f(sk0_1,sk0_1))),
% 0.20/0.38 inference(resolution,[status(thm)],[f19,f15])).
% 0.20/0.38 fof(f28,plain,(
% 0.20/0.38 spl0_0|spl0_1),
% 0.20/0.38 inference(split_clause,[status(thm)],[f27,f21,f24])).
% 0.20/0.38 fof(f29,plain,(
% 0.20/0.38 spl0_2 <=> ~big_f(sk0_4(sk0_1,sk0_1),X0)|~big_f(X1,X0)|~big_f(X1,sk0_2(X0,sk0_4(sk0_1,sk0_1)))),
% 0.20/0.38 introduced(split_symbol_definition)).
% 0.20/0.38 fof(f30,plain,(
% 0.20/0.38 ![X0,X1]: (~big_f(sk0_4(sk0_1,sk0_1),X0)|~big_f(X1,X0)|~big_f(X1,sk0_2(X0,sk0_4(sk0_1,sk0_1)))|~spl0_2)),
% 0.20/0.38 inference(component_clause,[status(thm)],[f29])).
% 0.20/0.38 fof(f32,plain,(
% 0.20/0.38 ![X0,X1]: (~big_f(sk0_4(sk0_1,sk0_1),X0)|~big_f(X1,X0)|~big_f(X1,sk0_2(X0,sk0_4(sk0_1,sk0_1)))|big_f(sk0_1,sk0_1)|big_f(sk0_1,sk0_1))),
% 0.20/0.38 inference(resolution,[status(thm)],[f20,f15])).
% 0.20/0.38 fof(f33,plain,(
% 0.20/0.38 spl0_2|spl0_0),
% 0.20/0.38 inference(split_clause,[status(thm)],[f32,f29,f21])).
% 0.20/0.38 fof(f96,plain,(
% 0.20/0.38 ![X0,X1]: (~big_f(sk0_1,X0)|~big_f(X1,X0)|~big_f(X1,sk0_2(X0,sk0_1))|~spl0_0)),
% 0.20/0.38 inference(resolution,[status(thm)],[f22,f14])).
% 0.20/0.38 fof(f97,plain,(
% 0.20/0.38 ![X0]: (~big_f(sk0_1,X0)|big_f(sk0_2(X0,sk0_1),X0)|~spl0_0)),
% 0.20/0.38 inference(resolution,[status(thm)],[f22,f13])).
% 0.20/0.38 fof(f99,plain,(
% 0.20/0.38 big_f(sk0_2(sk0_0(sk0_1),sk0_1),sk0_0(sk0_1))|~spl0_0),
% 0.20/0.38 inference(resolution,[status(thm)],[f97,f18])).
% 0.20/0.38 fof(f107,plain,(
% 0.20/0.38 sk0_2(sk0_0(sk0_1),sk0_1)=sk0_1|~spl0_0),
% 0.20/0.38 inference(resolution,[status(thm)],[f99,f7])).
% 0.20/0.38 fof(f110,plain,(
% 0.20/0.38 ![X0]: (~big_f(X0,sk0_0(sk0_1))|~big_f(X0,sk0_2(sk0_0(sk0_1),sk0_1))|~spl0_0)),
% 0.20/0.38 inference(resolution,[status(thm)],[f96,f18])).
% 0.20/0.38 fof(f111,plain,(
% 0.20/0.38 ![X0]: (~big_f(X0,sk0_0(sk0_1))|~big_f(X0,sk0_1)|~spl0_0)),
% 0.20/0.38 inference(forward_demodulation,[status(thm)],[f107,f110])).
% 0.20/0.38 fof(f119,plain,(
% 0.20/0.38 ~big_f(sk0_1,sk0_1)|~spl0_0),
% 0.20/0.38 inference(resolution,[status(thm)],[f111,f18])).
% 0.20/0.38 fof(f120,plain,(
% 0.20/0.38 $false|~spl0_0),
% 0.20/0.38 inference(forward_subsumption_resolution,[status(thm)],[f119,f22])).
% 0.20/0.38 fof(f121,plain,(
% 0.20/0.38 ~spl0_0),
% 0.20/0.38 inference(contradiction_clause,[status(thm)],[f120])).
% 0.20/0.38 fof(f125,plain,(
% 0.20/0.38 spl0_6 <=> big_f(sk0_1,sk0_3(sk0_1))),
% 0.20/0.38 introduced(split_symbol_definition)).
% 0.20/0.38 fof(f127,plain,(
% 0.20/0.38 ~big_f(sk0_1,sk0_3(sk0_1))|spl0_6),
% 0.20/0.38 inference(component_clause,[status(thm)],[f125])).
% 0.20/0.38 fof(f144,plain,(
% 0.20/0.38 big_f(sk0_1,sk0_1)|spl0_6),
% 0.20/0.38 inference(resolution,[status(thm)],[f127,f15])).
% 0.20/0.38 fof(f145,plain,(
% 0.20/0.38 spl0_0|spl0_6),
% 0.20/0.38 inference(split_clause,[status(thm)],[f144,f21,f125])).
% 0.20/0.38 fof(f153,plain,(
% 0.20/0.38 ![X0,X1]: (~big_f(sk0_4(sk0_1,sk0_1),X0)|~big_f(sk0_4(sk0_2(X0,sk0_4(sk0_1,sk0_1)),X1),X0)|big_f(X1,sk0_1)|~big_f(sk0_2(X0,sk0_4(sk0_1,sk0_1)),sk0_3(X1))|~spl0_2)),
% 0.20/0.38 inference(resolution,[status(thm)],[f30,f17])).
% 0.20/0.38 fof(f156,plain,(
% 0.20/0.38 spl0_10 <=> big_f(sk0_4(sk0_1,sk0_1),sk0_0(sk0_4(sk0_1,sk0_1)))),
% 0.20/0.38 introduced(split_symbol_definition)).
% 0.20/0.38 fof(f158,plain,(
% 0.20/0.38 ~big_f(sk0_4(sk0_1,sk0_1),sk0_0(sk0_4(sk0_1,sk0_1)))|spl0_10),
% 0.20/0.38 inference(component_clause,[status(thm)],[f156])).
% 0.20/0.38 fof(f164,plain,(
% 0.20/0.38 $false|spl0_10),
% 0.20/0.38 inference(forward_subsumption_resolution,[status(thm)],[f158,f18])).
% 0.20/0.38 fof(f165,plain,(
% 0.20/0.38 spl0_10),
% 0.20/0.38 inference(contradiction_clause,[status(thm)],[f164])).
% 0.20/0.38 fof(f166,plain,(
% 0.20/0.38 ![X0]: (~big_f(sk0_4(sk0_1,sk0_1),sk0_3(X0))|big_f(X0,sk0_1)|~big_f(sk0_2(sk0_3(X0),sk0_4(sk0_1,sk0_1)),sk0_3(X0))|big_f(X0,sk0_1)|~big_f(sk0_2(sk0_3(X0),sk0_4(sk0_1,sk0_1)),sk0_3(X0))|~spl0_2)),
% 0.20/0.38 inference(resolution,[status(thm)],[f153,f16])).
% 0.20/0.38 fof(f167,plain,(
% 0.20/0.38 ![X0]: (~big_f(sk0_4(sk0_1,sk0_1),sk0_3(X0))|big_f(X0,sk0_1)|~big_f(sk0_2(sk0_3(X0),sk0_4(sk0_1,sk0_1)),sk0_3(X0))|~spl0_2)),
% 0.20/0.38 inference(duplicate_literals_removal,[status(esa)],[f166])).
% 0.20/0.38 fof(f168,plain,(
% 0.20/0.38 ![X0]: (~big_f(sk0_4(sk0_1,sk0_1),sk0_3(X0))|big_f(X0,sk0_1)|~spl0_1|~spl0_2)),
% 0.20/0.38 inference(forward_subsumption_resolution,[status(thm)],[f167,f25])).
% 0.20/0.38 fof(f175,plain,(
% 0.20/0.38 big_f(sk0_1,sk0_1)|big_f(sk0_1,sk0_1)|~big_f(sk0_1,sk0_3(sk0_1))|~spl0_1|~spl0_2),
% 0.20/0.38 inference(resolution,[status(thm)],[f168,f16])).
% 0.20/0.38 fof(f176,plain,(
% 0.20/0.38 spl0_0|~spl0_6|~spl0_1|~spl0_2),
% 0.20/0.38 inference(split_clause,[status(thm)],[f175,f21,f125,f24,f29])).
% 0.20/0.38 fof(f179,plain,(
% 0.20/0.38 $false),
% 0.20/0.38 inference(sat_refutation,[status(thm)],[f28,f33,f121,f145,f165,f176])).
% 0.20/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.38 % Elapsed time: 0.025553 seconds
% 0.20/0.38 % CPU time: 0.061847 seconds
% 0.20/0.38 % Memory used: 11.852 MB
%------------------------------------------------------------------------------