TSTP Solution File: GRP036-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP036-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 0.09s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP036-3 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n022.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
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:28:57 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % Drodi V3.5.1
% 0.09/0.33 % Refutation found
% 0.09/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.33 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.33 fof(f1,axiom,(
% 0.09/0.33 (![X]: (product(identity,X,X) ))),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f4,axiom,(
% 0.09/0.33 (![X]: (product(X,inverse(X),identity) ))),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f6,axiom,(
% 0.09/0.33 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f9,axiom,(
% 0.09/0.33 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(A,inverse(B),C)| subgroup_member(C) ) ))),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f11,hypothesis,(
% 0.09/0.33 (![A]: (( ~ subgroup_member(A)| product(A,another_identity,A) ) ))),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f14,hypothesis,(
% 0.09/0.33 (![A]: (( ~ subgroup_member(A)| subgroup_member(another_inverse(A)) ) ))),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f15,hypothesis,(
% 0.09/0.33 subgroup_member(another_identity) ),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f16,negated_conjecture,(
% 0.09/0.33 identity != another_identity ),
% 0.09/0.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.33 fof(f17,plain,(
% 0.09/0.33 ![X0]: (product(identity,X0,X0))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f1])).
% 0.09/0.33 fof(f20,plain,(
% 0.09/0.33 ![X0]: (product(X0,inverse(X0),identity))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f4])).
% 0.09/0.33 fof(f22,plain,(
% 0.09/0.33 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.09/0.33 inference(miniscoping,[status(esa)],[f6])).
% 0.09/0.33 fof(f23,plain,(
% 0.09/0.33 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f22])).
% 0.09/0.33 fof(f28,plain,(
% 0.09/0.33 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(A,inverse(B),C)))|subgroup_member(C))),
% 0.09/0.33 inference(miniscoping,[status(esa)],[f9])).
% 0.09/0.33 fof(f29,plain,(
% 0.09/0.33 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,inverse(X1),X2)|subgroup_member(X2))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f28])).
% 0.09/0.33 fof(f31,plain,(
% 0.09/0.33 ![X0]: (~subgroup_member(X0)|product(X0,another_identity,X0))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f11])).
% 0.09/0.33 fof(f34,plain,(
% 0.09/0.33 ![X0]: (~subgroup_member(X0)|subgroup_member(another_inverse(X0)))),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f14])).
% 0.09/0.33 fof(f35,plain,(
% 0.09/0.33 subgroup_member(another_identity)),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f15])).
% 0.09/0.33 fof(f36,plain,(
% 0.09/0.33 ~identity=another_identity),
% 0.09/0.33 inference(cnf_transformation,[status(esa)],[f16])).
% 0.09/0.33 fof(f39,plain,(
% 0.09/0.33 subgroup_member(another_inverse(another_identity))),
% 0.09/0.33 inference(resolution,[status(thm)],[f34,f35])).
% 0.09/0.33 fof(f40,plain,(
% 0.09/0.33 subgroup_member(another_inverse(another_inverse(another_identity)))),
% 0.09/0.33 inference(resolution,[status(thm)],[f39,f34])).
% 0.09/0.33 fof(f43,plain,(
% 0.09/0.33 subgroup_member(another_inverse(another_inverse(another_inverse(another_identity))))),
% 0.09/0.33 inference(resolution,[status(thm)],[f40,f34])).
% 0.09/0.33 fof(f46,plain,(
% 0.09/0.33 subgroup_member(another_inverse(another_inverse(another_inverse(another_inverse(another_identity)))))),
% 0.09/0.33 inference(resolution,[status(thm)],[f43,f34])).
% 0.09/0.33 fof(f49,plain,(
% 0.09/0.33 subgroup_member(another_inverse(another_inverse(another_inverse(another_inverse(another_inverse(another_identity))))))),
% 0.09/0.33 inference(resolution,[status(thm)],[f46,f34])).
% 0.09/0.33 fof(f59,plain,(
% 0.09/0.33 ![X0,X1]: (~product(identity,X0,X1)|X1=X0)),
% 0.09/0.33 inference(resolution,[status(thm)],[f23,f17])).
% 0.09/0.33 fof(f146,plain,(
% 0.09/0.33 spl0_1 <=> subgroup_member(identity)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f147,plain,(
% 0.09/0.33 subgroup_member(identity)|~spl0_1),
% 0.09/0.33 inference(component_clause,[status(thm)],[f146])).
% 0.09/0.33 fof(f156,plain,(
% 0.09/0.33 spl0_3 <=> ~subgroup_member(X0)|~subgroup_member(X0)),
% 0.09/0.33 introduced(split_symbol_definition)).
% 0.09/0.33 fof(f157,plain,(
% 0.09/0.33 ![X0]: (~subgroup_member(X0)|~subgroup_member(X0)|~spl0_3)),
% 0.09/0.33 inference(component_clause,[status(thm)],[f156])).
% 0.09/0.33 fof(f159,plain,(
% 0.09/0.33 ![X0]: (~subgroup_member(X0)|~subgroup_member(X0)|subgroup_member(identity))),
% 0.09/0.33 inference(resolution,[status(thm)],[f29,f20])).
% 0.09/0.33 fof(f160,plain,(
% 0.09/0.33 spl0_3|spl0_1),
% 0.15/0.55 inference(split_clause,[status(thm)],[f159,f156,f146])).
% 0.15/0.55 fof(f162,plain,(
% 0.15/0.55 ![X0]: (~subgroup_member(X0)|~spl0_3)),
% 0.15/0.55 inference(duplicate_literals_removal,[status(esa)],[f157])).
% 0.15/0.55 fof(f219,plain,(
% 0.15/0.55 product(identity,another_identity,identity)|~spl0_1),
% 0.15/0.55 inference(resolution,[status(thm)],[f31,f147])).
% 0.15/0.55 fof(f221,plain,(
% 0.15/0.55 identity=another_identity|~spl0_1),
% 0.15/0.55 inference(resolution,[status(thm)],[f219,f59])).
% 0.15/0.55 fof(f222,plain,(
% 0.15/0.55 $false|~spl0_1),
% 0.15/0.55 inference(forward_subsumption_resolution,[status(thm)],[f221,f36])).
% 0.15/0.55 fof(f223,plain,(
% 0.15/0.55 ~spl0_1),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f222])).
% 0.15/0.55 fof(f224,plain,(
% 0.15/0.55 $false|~spl0_3),
% 0.15/0.55 inference(backward_subsumption_resolution,[status(thm)],[f49,f162])).
% 0.15/0.55 fof(f225,plain,(
% 0.15/0.55 ~spl0_3),
% 0.15/0.55 inference(contradiction_clause,[status(thm)],[f224])).
% 0.15/0.55 fof(f226,plain,(
% 0.15/0.55 $false),
% 0.15/0.55 inference(sat_refutation,[status(thm)],[f160,f223,f225])).
% 0.15/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.55 % Elapsed time: 0.016265 seconds
% 0.15/0.55 % CPU time: 0.025208 seconds
% 0.15/0.55 % Memory used: 1.186 MB
%------------------------------------------------------------------------------