TSTP Solution File: GRP005-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% 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 12:09:40 EDT 2023
% Result : Unsatisfiable 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n029.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 11:43:06 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 0.07/0.28 % Refutation found
% 0.07/0.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.28 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.28 fof(f3,axiom,(
% 0.07/0.28 (![X]: (product(X,inverse(X),identity) ))),
% 0.07/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f5,axiom,(
% 0.07/0.28 an_element(a) ),
% 0.07/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f6,axiom,(
% 0.07/0.28 (![X,Y,Z]: (( ~ an_element(X)| ~ an_element(Y)| ~ product(X,inverse(Y),Z)| an_element(Z) ) ))),
% 0.07/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f9,negated_conjecture,(
% 0.07/0.28 ~ an_element(identity) ),
% 0.07/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.28 fof(f12,plain,(
% 0.07/0.28 ![X0]: (product(X0,inverse(X0),identity))),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f3])).
% 0.07/0.28 fof(f14,plain,(
% 0.07/0.28 an_element(a)),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f5])).
% 0.07/0.28 fof(f15,plain,(
% 0.07/0.28 ![Z]: ((![X,Y]: ((~an_element(X)|~an_element(Y))|~product(X,inverse(Y),Z)))|an_element(Z))),
% 0.07/0.28 inference(miniscoping,[status(esa)],[f6])).
% 0.07/0.28 fof(f16,plain,(
% 0.07/0.28 ![X0,X1,X2]: (~an_element(X0)|~an_element(X1)|~product(X0,inverse(X1),X2)|an_element(X2))),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f15])).
% 0.07/0.28 fof(f21,plain,(
% 0.07/0.28 ~an_element(identity)),
% 0.07/0.28 inference(cnf_transformation,[status(esa)],[f9])).
% 0.07/0.28 fof(f25,plain,(
% 0.07/0.28 spl0_1 <=> an_element(identity)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f26,plain,(
% 0.07/0.28 an_element(identity)|~spl0_1),
% 0.07/0.28 inference(component_clause,[status(thm)],[f25])).
% 0.07/0.28 fof(f35,plain,(
% 0.07/0.28 spl0_3 <=> ~an_element(X0)|~an_element(X0)),
% 0.07/0.28 introduced(split_symbol_definition)).
% 0.07/0.28 fof(f36,plain,(
% 0.07/0.28 ![X0]: (~an_element(X0)|~an_element(X0)|~spl0_3)),
% 0.07/0.28 inference(component_clause,[status(thm)],[f35])).
% 0.07/0.28 fof(f38,plain,(
% 0.07/0.28 ![X0]: (~an_element(X0)|~an_element(X0)|an_element(identity))),
% 0.07/0.28 inference(resolution,[status(thm)],[f16,f12])).
% 0.07/0.28 fof(f39,plain,(
% 0.07/0.28 spl0_3|spl0_1),
% 0.07/0.28 inference(split_clause,[status(thm)],[f38,f35,f25])).
% 0.07/0.28 fof(f40,plain,(
% 0.07/0.28 ![X0]: (~an_element(X0)|~spl0_3)),
% 0.07/0.28 inference(duplicate_literals_removal,[status(esa)],[f36])).
% 0.07/0.28 fof(f41,plain,(
% 0.07/0.28 $false|~spl0_3),
% 0.07/0.28 inference(backward_subsumption_resolution,[status(thm)],[f14,f40])).
% 0.07/0.28 fof(f42,plain,(
% 0.07/0.28 ~spl0_3),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f41])).
% 0.07/0.28 fof(f43,plain,(
% 0.07/0.28 $false|~spl0_1),
% 0.07/0.28 inference(forward_subsumption_resolution,[status(thm)],[f21,f26])).
% 0.07/0.28 fof(f44,plain,(
% 0.07/0.28 ~spl0_1),
% 0.07/0.28 inference(contradiction_clause,[status(thm)],[f43])).
% 0.07/0.28 fof(f45,plain,(
% 0.07/0.28 $false),
% 0.07/0.28 inference(sat_refutation,[status(thm)],[f39,f42,f44])).
% 0.07/0.28 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.28 % Elapsed time: 0.013106 seconds
% 0.07/0.28 % CPU time: 0.023528 seconds
% 0.07/0.28 % Memory used: 7.214 MB
%------------------------------------------------------------------------------