TSTP Solution File: GRP034-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:09:47 EDT 2023
% Result : Unsatisfiable 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n028.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:44:32 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.34 fof(f1,axiom,(
% 0.10/0.34 (![X]: (product(identity,X,X) ))),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f4,axiom,(
% 0.10/0.34 (![X]: (product(X,inverse(X),identity) ))),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f9,axiom,(
% 0.10/0.34 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(A,inverse(B),C)| subgroup_member(C) ) ))),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f10,hypothesis,(
% 0.10/0.34 subgroup_member(a) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f11,negated_conjecture,(
% 0.10/0.34 ~ subgroup_member(inverse(a)) ),
% 0.10/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f12,plain,(
% 0.10/0.34 ![X0]: (product(identity,X0,X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f1])).
% 0.10/0.34 fof(f15,plain,(
% 0.10/0.34 ![X0]: (product(X0,inverse(X0),identity))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f4])).
% 0.10/0.34 fof(f23,plain,(
% 0.10/0.34 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(A,inverse(B),C)))|subgroup_member(C))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f9])).
% 0.10/0.34 fof(f24,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,inverse(X1),X2)|subgroup_member(X2))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f23])).
% 0.10/0.34 fof(f25,plain,(
% 0.10/0.34 subgroup_member(a)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f10])).
% 0.10/0.34 fof(f26,plain,(
% 0.10/0.34 ~subgroup_member(inverse(a))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f11])).
% 0.10/0.34 fof(f30,plain,(
% 0.10/0.34 spl0_1 <=> subgroup_member(identity)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f35,plain,(
% 0.10/0.34 spl0_2 <=> ~subgroup_member(X0)|~subgroup_member(X0)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f36,plain,(
% 0.10/0.34 ![X0]: (~subgroup_member(X0)|~subgroup_member(X0)|~spl0_2)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f35])).
% 0.10/0.34 fof(f38,plain,(
% 0.10/0.34 ![X0]: (~subgroup_member(X0)|~subgroup_member(X0)|subgroup_member(identity))),
% 0.10/0.34 inference(resolution,[status(thm)],[f24,f15])).
% 0.10/0.34 fof(f39,plain,(
% 0.10/0.34 spl0_2|spl0_1),
% 0.10/0.34 inference(split_clause,[status(thm)],[f38,f35,f30])).
% 0.10/0.34 fof(f40,plain,(
% 0.10/0.34 spl0_3 <=> ~subgroup_member(X0)|subgroup_member(inverse(X0))),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f41,plain,(
% 0.10/0.34 ![X0]: (~subgroup_member(X0)|subgroup_member(inverse(X0))|~spl0_3)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f40])).
% 0.10/0.34 fof(f43,plain,(
% 0.10/0.34 ![X0]: (~subgroup_member(identity)|~subgroup_member(X0)|subgroup_member(inverse(X0)))),
% 0.10/0.34 inference(resolution,[status(thm)],[f12,f24])).
% 0.10/0.34 fof(f44,plain,(
% 0.10/0.34 ~spl0_1|spl0_3),
% 0.10/0.34 inference(split_clause,[status(thm)],[f43,f30,f40])).
% 0.10/0.34 fof(f45,plain,(
% 0.10/0.34 ![X0]: (~subgroup_member(X0)|~spl0_2)),
% 0.10/0.34 inference(duplicate_literals_removal,[status(esa)],[f36])).
% 0.10/0.34 fof(f46,plain,(
% 0.10/0.34 $false|~spl0_2),
% 0.10/0.34 inference(backward_subsumption_resolution,[status(thm)],[f25,f45])).
% 0.10/0.34 fof(f47,plain,(
% 0.10/0.34 ~spl0_2),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f46])).
% 0.10/0.34 fof(f48,plain,(
% 0.10/0.34 subgroup_member(inverse(a))|~spl0_3),
% 0.10/0.34 inference(resolution,[status(thm)],[f41,f25])).
% 0.10/0.34 fof(f49,plain,(
% 0.10/0.34 $false|~spl0_3),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f48,f26])).
% 0.10/0.34 fof(f50,plain,(
% 0.10/0.34 ~spl0_3),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f49])).
% 0.10/0.34 fof(f51,plain,(
% 0.10/0.34 $false),
% 0.10/0.34 inference(sat_refutation,[status(thm)],[f39,f44,f47,f50])).
% 0.10/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.55 % Elapsed time: 0.011608 seconds
% 0.14/0.55 % CPU time: 0.011211 seconds
% 0.14/0.55 % Memory used: 1.016 MB
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