TSTP Solution File: FLD031-5 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD031-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:06:57 EDT 2023
% Result : Unsatisfiable 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : FLD031-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n029.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.31 % CPULimit : 300
% 0.14/0.31 % WCLimit : 300
% 0.14/0.31 % DateTime : Tue May 30 11:15:06 EDT 2023
% 0.14/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.5.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.43 fof(f7,axiom,(
% 0.14/0.43 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f8,axiom,(
% 0.14/0.43 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f9,axiom,(
% 0.14/0.43 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f10,axiom,(
% 0.14/0.43 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f18,axiom,(
% 0.14/0.43 (![X]: (( defined(multiplicative_inverse(X))| ~ defined(X)| sum(additive_identity,X,additive_identity) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f27,hypothesis,(
% 0.14/0.43 defined(a) ),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f28,negated_conjecture,(
% 0.14/0.43 product(multiplicative_identity,a,multiplicative_identity) ),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f29,negated_conjecture,(
% 0.14/0.43 ~ sum(additive_identity,a,additive_identity) ),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f30,negated_conjecture,(
% 0.14/0.43 ~ product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(a)) ),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f40,plain,(
% 0.14/0.43 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.14/0.43 inference(miniscoping,[status(esa)],[f7])).
% 0.14/0.43 fof(f41,plain,(
% 0.14/0.43 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f40])).
% 0.14/0.43 fof(f42,plain,(
% 0.14/0.43 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.43 fof(f43,plain,(
% 0.14/0.43 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.43 fof(f44,plain,(
% 0.14/0.43 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.43 fof(f56,plain,(
% 0.14/0.43 ![X0]: (defined(multiplicative_inverse(X0))|~defined(X0)|sum(additive_identity,X0,additive_identity))),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f18])).
% 0.14/0.43 fof(f70,plain,(
% 0.14/0.43 defined(a)),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f27])).
% 0.14/0.43 fof(f71,plain,(
% 0.14/0.43 product(multiplicative_identity,a,multiplicative_identity)),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f28])).
% 0.14/0.43 fof(f72,plain,(
% 0.14/0.43 ~sum(additive_identity,a,additive_identity)),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.43 fof(f73,plain,(
% 0.14/0.43 ~product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(a))),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.43 fof(f222,plain,(
% 0.14/0.43 ![X0,X1,X2]: (~product(X0,X1,multiplicative_identity)|~product(X1,multiplicative_identity,X2)|~product(X0,X2,multiplicative_inverse(a)))),
% 0.14/0.43 inference(resolution,[status(thm)],[f41,f73])).
% 0.14/0.43 fof(f232,plain,(
% 0.14/0.43 spl0_3 <=> defined(multiplicative_inverse(a))),
% 0.14/0.43 introduced(split_symbol_definition)).
% 0.14/0.43 fof(f234,plain,(
% 0.14/0.43 ~defined(multiplicative_inverse(a))|spl0_3),
% 0.14/0.43 inference(component_clause,[status(thm)],[f232])).
% 0.14/0.43 fof(f246,plain,(
% 0.14/0.43 ![X0,X1,X2]: (~product(X0,X1,multiplicative_identity)|~product(X1,multiplicative_identity,X2)|~product(X2,X0,multiplicative_inverse(a)))),
% 0.14/0.43 inference(resolution,[status(thm)],[f222,f44])).
% 0.14/0.43 fof(f256,plain,(
% 0.14/0.43 spl0_6 <=> ~product(multiplicative_inverse(a),X0,multiplicative_identity)|~product(X0,multiplicative_identity,multiplicative_identity)),
% 0.14/0.43 introduced(split_symbol_definition)).
% 0.14/0.43 fof(f257,plain,(
% 0.14/0.43 ![X0]: (~product(multiplicative_inverse(a),X0,multiplicative_identity)|~product(X0,multiplicative_identity,multiplicative_identity)|~spl0_6)),
% 0.14/0.43 inference(component_clause,[status(thm)],[f256])).
% 0.14/0.43 fof(f259,plain,(
% 0.14/0.43 ![X0]: (~product(multiplicative_inverse(a),X0,multiplicative_identity)|~product(X0,multiplicative_identity,multiplicative_identity)|~defined(multiplicative_inverse(a)))),
% 0.14/0.43 inference(resolution,[status(thm)],[f246,f42])).
% 0.14/0.43 fof(f260,plain,(
% 0.14/0.43 spl0_6|~spl0_3),
% 0.14/0.43 inference(split_clause,[status(thm)],[f259,f256,f232])).
% 0.14/0.43 fof(f386,plain,(
% 0.14/0.43 spl0_20 <=> defined(a)),
% 0.14/0.43 introduced(split_symbol_definition)).
% 0.14/0.43 fof(f388,plain,(
% 0.14/0.43 ~defined(a)|spl0_20),
% 0.14/0.43 inference(component_clause,[status(thm)],[f386])).
% 0.14/0.43 fof(f394,plain,(
% 0.14/0.43 $false|spl0_20),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f388,f70])).
% 0.14/0.43 fof(f395,plain,(
% 0.14/0.43 spl0_20),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f394])).
% 0.14/0.43 fof(f573,plain,(
% 0.14/0.43 spl0_35 <=> sum(additive_identity,a,additive_identity)),
% 0.14/0.43 introduced(split_symbol_definition)).
% 0.14/0.43 fof(f574,plain,(
% 0.14/0.43 sum(additive_identity,a,additive_identity)|~spl0_35),
% 0.14/0.43 inference(component_clause,[status(thm)],[f573])).
% 0.14/0.43 fof(f576,plain,(
% 0.14/0.43 ~defined(a)|sum(additive_identity,a,additive_identity)|spl0_3),
% 0.14/0.43 inference(resolution,[status(thm)],[f56,f234])).
% 0.14/0.43 fof(f577,plain,(
% 0.14/0.43 ~spl0_20|spl0_35|spl0_3),
% 0.14/0.43 inference(split_clause,[status(thm)],[f576,f386,f573,f232])).
% 0.14/0.43 fof(f855,plain,(
% 0.14/0.43 spl0_41 <=> product(a,multiplicative_identity,multiplicative_identity)),
% 0.14/0.43 introduced(split_symbol_definition)).
% 0.14/0.43 fof(f857,plain,(
% 0.14/0.43 ~product(a,multiplicative_identity,multiplicative_identity)|spl0_41),
% 0.14/0.43 inference(component_clause,[status(thm)],[f855])).
% 0.14/0.43 fof(f858,plain,(
% 0.14/0.43 ~product(a,multiplicative_identity,multiplicative_identity)|sum(additive_identity,a,additive_identity)|~defined(a)|~spl0_6),
% 0.14/0.43 inference(resolution,[status(thm)],[f257,f43])).
% 0.14/0.43 fof(f859,plain,(
% 0.14/0.43 ~spl0_41|spl0_35|~spl0_20|~spl0_6),
% 0.14/0.43 inference(split_clause,[status(thm)],[f858,f855,f573,f386,f256])).
% 0.14/0.43 fof(f872,plain,(
% 0.14/0.43 ~product(multiplicative_identity,a,multiplicative_identity)|spl0_41),
% 0.14/0.43 inference(resolution,[status(thm)],[f857,f44])).
% 0.14/0.43 fof(f873,plain,(
% 0.14/0.43 $false|spl0_41),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f872,f71])).
% 0.14/0.43 fof(f874,plain,(
% 0.14/0.43 spl0_41),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f873])).
% 0.14/0.43 fof(f875,plain,(
% 0.14/0.43 $false|~spl0_35),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f574,f72])).
% 0.14/0.43 fof(f876,plain,(
% 0.14/0.43 ~spl0_35),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f875])).
% 0.14/0.43 fof(f877,plain,(
% 0.14/0.43 $false),
% 0.14/0.43 inference(sat_refutation,[status(thm)],[f260,f395,f577,f859,f874,f876])).
% 0.14/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.123041 seconds
% 0.14/0.44 % CPU time: 0.673068 seconds
% 0.14/0.44 % Memory used: 13.004 MB
%------------------------------------------------------------------------------