TSTP Solution File: GRP006-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:09:40 EDT 2023
% Result : Unsatisfiable 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GRP006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 11:26:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.35 % Drodi V3.5.1
% 0.20/0.36 % Refutation found
% 0.20/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.36 fof(f1,axiom,(
% 0.20/0.36 (![X]: (product(identity,X,X) ))),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f3,axiom,(
% 0.20/0.36 (![X]: (product(X,inverse(X),identity) ))),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f5,axiom,(
% 0.20/0.36 (![X,Y,Z]: (( ~ an_element(X)| ~ an_element(Y)| ~ product(X,inverse(Y),Z)| an_element(Z) ) ))),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f8,hypothesis,(
% 0.20/0.36 an_element(the_element) ),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f9,negated_conjecture,(
% 0.20/0.36 ~ an_element(inverse(the_element)) ),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f10,plain,(
% 0.20/0.36 ![X0]: (product(identity,X0,X0))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.36 fof(f12,plain,(
% 0.20/0.36 ![X0]: (product(X0,inverse(X0),identity))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.36 fof(f14,plain,(
% 0.20/0.36 ![Z]: ((![X,Y]: ((~an_element(X)|~an_element(Y))|~product(X,inverse(Y),Z)))|an_element(Z))),
% 0.20/0.36 inference(miniscoping,[status(esa)],[f5])).
% 0.20/0.36 fof(f15,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~an_element(X0)|~an_element(X1)|~product(X0,inverse(X1),X2)|an_element(X2))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.36 fof(f20,plain,(
% 0.20/0.36 an_element(the_element)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.36 fof(f21,plain,(
% 0.20/0.36 ~an_element(inverse(the_element))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.36 fof(f22,plain,(
% 0.20/0.36 spl0_0 <=> ~an_element(X0)|~an_element(X0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f23,plain,(
% 0.20/0.36 ![X0]: (~an_element(X0)|~an_element(X0)|~spl0_0)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f22])).
% 0.20/0.36 fof(f25,plain,(
% 0.20/0.36 spl0_1 <=> an_element(identity)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f28,plain,(
% 0.20/0.36 ![X0]: (~an_element(X0)|~an_element(X0)|an_element(identity))),
% 0.20/0.36 inference(resolution,[status(thm)],[f12,f15])).
% 0.20/0.36 fof(f29,plain,(
% 0.20/0.36 spl0_0|spl0_1),
% 0.20/0.36 inference(split_clause,[status(thm)],[f28,f22,f25])).
% 0.20/0.36 fof(f30,plain,(
% 0.20/0.36 ![X0]: (~an_element(X0)|~spl0_0)),
% 0.20/0.36 inference(duplicate_literals_removal,[status(esa)],[f23])).
% 0.20/0.36 fof(f31,plain,(
% 0.20/0.36 $false|~spl0_0),
% 0.20/0.36 inference(backward_subsumption_resolution,[status(thm)],[f20,f30])).
% 0.20/0.36 fof(f32,plain,(
% 0.20/0.36 ~spl0_0),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f31])).
% 0.20/0.36 fof(f33,plain,(
% 0.20/0.36 ![X0,X1]: (~an_element(X0)|~an_element(X1)|~product(X0,inverse(X1),inverse(the_element)))),
% 0.20/0.36 inference(resolution,[status(thm)],[f15,f21])).
% 0.20/0.36 fof(f34,plain,(
% 0.20/0.36 spl0_2 <=> an_element(the_element)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f36,plain,(
% 0.20/0.36 ~an_element(the_element)|spl0_2),
% 0.20/0.36 inference(component_clause,[status(thm)],[f34])).
% 0.20/0.36 fof(f37,plain,(
% 0.20/0.36 ~an_element(identity)|~an_element(the_element)),
% 0.20/0.36 inference(resolution,[status(thm)],[f10,f33])).
% 0.20/0.36 fof(f38,plain,(
% 0.20/0.36 ~spl0_1|~spl0_2),
% 0.20/0.36 inference(split_clause,[status(thm)],[f37,f25,f34])).
% 0.20/0.36 fof(f39,plain,(
% 0.20/0.36 $false|spl0_2),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f36,f20])).
% 0.20/0.36 fof(f40,plain,(
% 0.20/0.36 spl0_2),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f39])).
% 0.20/0.36 fof(f41,plain,(
% 0.20/0.36 $false),
% 0.20/0.36 inference(sat_refutation,[status(thm)],[f29,f32,f38,f40])).
% 0.20/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.37 % Elapsed time: 0.021432 seconds
% 0.20/0.37 % CPU time: 0.037597 seconds
% 0.20/0.37 % Memory used: 7.231 MB
%------------------------------------------------------------------------------