TSTP Solution File: FLD031-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD031-3 : 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 0.09s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : FLD031-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n029.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 11:15:51 EDT 2023
% 0.09/0.33 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.09/0.34 % Refutation found
% 0.09/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.34 fof(f6,axiom,(
% 0.09/0.34 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f8,axiom,(
% 0.09/0.34 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f9,axiom,(
% 0.09/0.34 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f10,axiom,(
% 0.09/0.34 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f17,axiom,(
% 0.09/0.34 defined(multiplicative_identity) ),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f27,hypothesis,(
% 0.09/0.34 defined(a) ),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f28,negated_conjecture,(
% 0.09/0.34 product(multiplicative_identity,a,multiplicative_identity) ),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f29,negated_conjecture,(
% 0.09/0.34 ~ sum(additive_identity,a,additive_identity) ),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f30,negated_conjecture,(
% 0.09/0.34 ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity) ),
% 0.09/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.34 fof(f38,plain,(
% 0.09/0.34 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 0.09/0.34 inference(miniscoping,[status(esa)],[f6])).
% 0.09/0.34 fof(f39,plain,(
% 0.09/0.34 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f38])).
% 0.09/0.34 fof(f42,plain,(
% 0.09/0.34 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.34 fof(f43,plain,(
% 0.09/0.34 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f9])).
% 0.09/0.34 fof(f44,plain,(
% 0.09/0.34 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f10])).
% 0.09/0.34 fof(f55,plain,(
% 0.09/0.34 defined(multiplicative_identity)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f17])).
% 0.09/0.34 fof(f70,plain,(
% 0.09/0.34 defined(a)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f27])).
% 0.09/0.34 fof(f71,plain,(
% 0.09/0.34 product(multiplicative_identity,a,multiplicative_identity)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f28])).
% 0.09/0.34 fof(f72,plain,(
% 0.09/0.34 ~sum(additive_identity,a,additive_identity)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f29])).
% 0.09/0.34 fof(f73,plain,(
% 0.09/0.34 ~product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity)),
% 0.09/0.34 inference(cnf_transformation,[status(esa)],[f30])).
% 0.09/0.34 fof(f139,plain,(
% 0.09/0.34 ~product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity)),
% 0.09/0.34 inference(resolution,[status(thm)],[f44,f73])).
% 0.09/0.34 fof(f141,plain,(
% 0.09/0.34 ![X0,X1,X2]: (~product(multiplicative_inverse(a),X0,X1)|~product(X0,X2,multiplicative_identity)|~product(X1,X2,multiplicative_identity))),
% 0.09/0.34 inference(resolution,[status(thm)],[f139,f39])).
% 0.09/0.34 fof(f234,plain,(
% 0.09/0.34 spl0_4 <=> ~product(a,X0,multiplicative_identity)|~product(multiplicative_identity,X0,multiplicative_identity)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f235,plain,(
% 0.09/0.34 ![X0]: (~product(a,X0,multiplicative_identity)|~product(multiplicative_identity,X0,multiplicative_identity)|~spl0_4)),
% 0.09/0.34 inference(component_clause,[status(thm)],[f234])).
% 0.09/0.34 fof(f237,plain,(
% 0.09/0.34 spl0_5 <=> sum(additive_identity,a,additive_identity)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f238,plain,(
% 0.09/0.34 sum(additive_identity,a,additive_identity)|~spl0_5),
% 0.09/0.34 inference(component_clause,[status(thm)],[f237])).
% 0.09/0.34 fof(f240,plain,(
% 0.09/0.34 spl0_6 <=> defined(a)),
% 0.09/0.34 introduced(split_symbol_definition)).
% 0.09/0.34 fof(f242,plain,(
% 0.09/0.34 ~defined(a)|spl0_6),
% 0.09/0.34 inference(component_clause,[status(thm)],[f240])).
% 0.09/0.34 fof(f243,plain,(
% 0.09/0.34 ![X0]: (~product(a,X0,multiplicative_identity)|~product(multiplicative_identity,X0,multiplicative_identity)|sum(additive_identity,a,additive_identity)|~defined(a))),
% 0.14/0.36 inference(resolution,[status(thm)],[f141,f43])).
% 0.14/0.36 fof(f244,plain,(
% 0.14/0.36 spl0_4|spl0_5|~spl0_6),
% 0.14/0.36 inference(split_clause,[status(thm)],[f243,f234,f237,f240])).
% 0.14/0.36 fof(f248,plain,(
% 0.14/0.36 $false|spl0_6),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f242,f70])).
% 0.14/0.36 fof(f249,plain,(
% 0.14/0.36 spl0_6),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f248])).
% 0.14/0.36 fof(f251,plain,(
% 0.14/0.36 ![X0]: (~product(multiplicative_identity,X0,multiplicative_identity)|~product(X0,a,multiplicative_identity)|~spl0_4)),
% 0.14/0.36 inference(resolution,[status(thm)],[f235,f44])).
% 0.14/0.36 fof(f254,plain,(
% 0.14/0.36 spl0_7 <=> product(multiplicative_identity,a,multiplicative_identity)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f256,plain,(
% 0.14/0.36 ~product(multiplicative_identity,a,multiplicative_identity)|spl0_7),
% 0.14/0.36 inference(component_clause,[status(thm)],[f254])).
% 0.14/0.36 fof(f257,plain,(
% 0.14/0.36 spl0_8 <=> defined(multiplicative_identity)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f259,plain,(
% 0.14/0.36 ~defined(multiplicative_identity)|spl0_8),
% 0.14/0.36 inference(component_clause,[status(thm)],[f257])).
% 0.14/0.36 fof(f260,plain,(
% 0.14/0.36 ~product(multiplicative_identity,a,multiplicative_identity)|~defined(multiplicative_identity)|~spl0_4),
% 0.14/0.36 inference(resolution,[status(thm)],[f251,f42])).
% 0.14/0.36 fof(f261,plain,(
% 0.14/0.36 ~spl0_7|~spl0_8|~spl0_4),
% 0.14/0.36 inference(split_clause,[status(thm)],[f260,f254,f257,f234])).
% 0.14/0.36 fof(f265,plain,(
% 0.14/0.36 $false|spl0_8),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f259,f55])).
% 0.14/0.36 fof(f266,plain,(
% 0.14/0.36 spl0_8),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f265])).
% 0.14/0.36 fof(f267,plain,(
% 0.14/0.36 $false|~spl0_5),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f238,f72])).
% 0.14/0.36 fof(f268,plain,(
% 0.14/0.36 ~spl0_5),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f267])).
% 0.14/0.36 fof(f269,plain,(
% 0.14/0.36 $false|spl0_7),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f256,f71])).
% 0.14/0.36 fof(f270,plain,(
% 0.14/0.36 spl0_7),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f269])).
% 0.14/0.36 fof(f271,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f244,f249,f261,f266,f268,f270])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.58 % Elapsed time: 0.034095 seconds
% 0.15/0.58 % CPU time: 0.026273 seconds
% 0.15/0.58 % Memory used: 743.517 KB
%------------------------------------------------------------------------------