TSTP Solution File: FLD001-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD001-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:06:47 EDT 2023
% Result : Unsatisfiable 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : FLD001-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n031.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:23:37 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.14/0.46 % Refutation found
% 0.14/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.46 fof(f3,axiom,(
% 0.14/0.46 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f8,axiom,(
% 0.14/0.46 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f10,axiom,(
% 0.14/0.46 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f12,axiom,(
% 0.14/0.46 (![A,Z,B,X,Y,C,D]: (( product(A,Z,B)| ~ sum(X,Y,A)| ~ product(X,Z,C)| ~ product(Y,Z,D)| ~ sum(C,D,B) ) ))),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f14,axiom,(
% 0.14/0.46 defined(additive_identity) ),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f27,hypothesis,(
% 0.14/0.46 defined(a) ),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f29,hypothesis,(
% 0.14/0.46 sum(additive_identity,a,b) ),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f30,negated_conjecture,(
% 0.14/0.46 ~ product(multiplicative_identity,a,b) ),
% 0.14/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f35,plain,(
% 0.14/0.46 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.46 fof(f42,plain,(
% 0.14/0.46 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.46 fof(f44,plain,(
% 0.14/0.46 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.46 fof(f47,plain,(
% 0.14/0.46 ![B,C,D]: ((![Z,Y]: ((![X]: ((![A]: (product(A,Z,B)|~sum(X,Y,A)))|~product(X,Z,C)))|~product(Y,Z,D)))|~sum(C,D,B))),
% 0.14/0.46 inference(miniscoping,[status(esa)],[f12])).
% 0.14/0.46 fof(f48,plain,(
% 0.14/0.46 ![X0,X1,X2,X3,X4,X5,X6]: (product(X0,X1,X2)|~sum(X3,X4,X0)|~product(X3,X1,X5)|~product(X4,X1,X6)|~sum(X5,X6,X2))),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f47])).
% 0.14/0.46 fof(f51,plain,(
% 0.14/0.46 defined(additive_identity)),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f14])).
% 0.14/0.46 fof(f70,plain,(
% 0.14/0.46 defined(a)),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f27])).
% 0.14/0.46 fof(f72,plain,(
% 0.14/0.46 sum(additive_identity,a,b)),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.46 fof(f73,plain,(
% 0.14/0.46 ~product(multiplicative_identity,a,b)),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.46 fof(f78,plain,(
% 0.14/0.46 ![X0]: (product(X0,multiplicative_identity,X0)|~defined(X0))),
% 0.14/0.46 inference(resolution,[status(thm)],[f44,f42])).
% 0.14/0.46 fof(f104,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (product(X0,X1,b)|~sum(X2,X3,X0)|~product(X2,X1,additive_identity)|~product(X3,X1,a))),
% 0.14/0.46 inference(resolution,[status(thm)],[f48,f72])).
% 0.14/0.46 fof(f108,plain,(
% 0.14/0.46 spl0_4 <=> defined(additive_identity)),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f110,plain,(
% 0.14/0.46 ~defined(additive_identity)|spl0_4),
% 0.14/0.46 inference(component_clause,[status(thm)],[f108])).
% 0.14/0.46 fof(f116,plain,(
% 0.14/0.46 spl0_6 <=> defined(a)),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f118,plain,(
% 0.14/0.46 ~defined(a)|spl0_6),
% 0.14/0.46 inference(component_clause,[status(thm)],[f116])).
% 0.14/0.46 fof(f121,plain,(
% 0.14/0.46 $false|spl0_6),
% 0.14/0.46 inference(forward_subsumption_resolution,[status(thm)],[f118,f70])).
% 0.14/0.46 fof(f122,plain,(
% 0.14/0.46 spl0_6),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f121])).
% 0.14/0.46 fof(f123,plain,(
% 0.14/0.46 $false|spl0_4),
% 0.14/0.46 inference(forward_subsumption_resolution,[status(thm)],[f110,f51])).
% 0.14/0.46 fof(f124,plain,(
% 0.14/0.46 spl0_4),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f123])).
% 0.14/0.46 fof(f147,plain,(
% 0.14/0.46 spl0_11 <=> product(X0,multiplicative_identity,b)|~sum(X1,a,X0)|~product(X1,multiplicative_identity,additive_identity)),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f148,plain,(
% 0.14/0.46 ![X0,X1]: (product(X0,multiplicative_identity,b)|~sum(X1,a,X0)|~product(X1,multiplicative_identity,additive_identity)|~spl0_11)),
% 0.14/0.46 inference(component_clause,[status(thm)],[f147])).
% 0.14/0.46 fof(f150,plain,(
% 0.14/0.46 ![X0,X1]: (~defined(a)|product(X0,multiplicative_identity,b)|~sum(X1,a,X0)|~product(X1,multiplicative_identity,additive_identity))),
% 0.14/0.46 inference(resolution,[status(thm)],[f78,f104])).
% 0.14/0.46 fof(f151,plain,(
% 0.14/0.46 ~spl0_6|spl0_11),
% 0.14/0.46 inference(split_clause,[status(thm)],[f150,f116,f147])).
% 0.14/0.47 fof(f297,plain,(
% 0.14/0.47 spl0_24 <=> product(X0,multiplicative_identity,b)|~sum(additive_identity,a,X0)),
% 0.14/0.47 introduced(split_symbol_definition)).
% 0.14/0.47 fof(f298,plain,(
% 0.14/0.47 ![X0]: (product(X0,multiplicative_identity,b)|~sum(additive_identity,a,X0)|~spl0_24)),
% 0.14/0.47 inference(component_clause,[status(thm)],[f297])).
% 0.14/0.47 fof(f300,plain,(
% 0.14/0.47 ![X0]: (product(X0,multiplicative_identity,b)|~sum(additive_identity,a,X0)|~defined(additive_identity)|~spl0_11)),
% 0.14/0.47 inference(resolution,[status(thm)],[f148,f78])).
% 0.14/0.47 fof(f301,plain,(
% 0.14/0.47 spl0_24|~spl0_4|~spl0_11),
% 0.14/0.47 inference(split_clause,[status(thm)],[f300,f297,f108,f147])).
% 0.14/0.47 fof(f890,plain,(
% 0.14/0.47 spl0_75 <=> product(a,multiplicative_identity,b)),
% 0.14/0.47 introduced(split_symbol_definition)).
% 0.14/0.47 fof(f891,plain,(
% 0.14/0.47 product(a,multiplicative_identity,b)|~spl0_75),
% 0.14/0.47 inference(component_clause,[status(thm)],[f890])).
% 0.14/0.47 fof(f893,plain,(
% 0.14/0.47 ~defined(a)|product(a,multiplicative_identity,b)|~spl0_24),
% 0.14/0.47 inference(resolution,[status(thm)],[f35,f298])).
% 0.14/0.47 fof(f894,plain,(
% 0.14/0.47 ~spl0_6|spl0_75|~spl0_24),
% 0.14/0.47 inference(split_clause,[status(thm)],[f893,f116,f890,f297])).
% 0.14/0.47 fof(f1130,plain,(
% 0.14/0.47 product(multiplicative_identity,a,b)|~spl0_75),
% 0.14/0.47 inference(resolution,[status(thm)],[f891,f44])).
% 0.14/0.47 fof(f1131,plain,(
% 0.14/0.47 $false|~spl0_75),
% 0.14/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1130,f73])).
% 0.14/0.47 fof(f1132,plain,(
% 0.14/0.47 ~spl0_75),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f1131])).
% 0.14/0.47 fof(f1133,plain,(
% 0.14/0.47 $false),
% 0.14/0.47 inference(sat_refutation,[status(thm)],[f122,f124,f151,f301,f894,f1132])).
% 0.14/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.47 % Elapsed time: 0.168376 seconds
% 0.14/0.47 % CPU time: 0.590842 seconds
% 0.14/0.47 % Memory used: 11.310 MB
%------------------------------------------------------------------------------