TSTP Solution File: GRP033-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP033-3 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:09:46 EDT 2023
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP033-3 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:26:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.41 fof(f11,axiom,(
% 0.19/0.41 (![X]: (product(identity,X,X) ))),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f12,axiom,(
% 0.19/0.41 (![X]: (product(X,identity,X) ))),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f14,axiom,(
% 0.19/0.41 (![X]: (product(X,inverse(X),identity) ))),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f19,axiom,(
% 0.19/0.41 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(A,inverse(B),C)| subgroup_member(C) ) ))),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f20,hypothesis,(
% 0.19/0.41 subgroup_member(a) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f21,hypothesis,(
% 0.19/0.41 (![A]: (( ~ subgroup_member(A)| subgroup_member(j(A)) ) ))),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f22,negated_conjecture,(
% 0.19/0.41 (![A]: (( ~ product(j(A),A,j(A))| ~ product(A,j(A),j(A))| ~ subgroup_member(A) ) ))),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f40,plain,(
% 0.19/0.41 ![X0]: (product(identity,X0,X0))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.41 fof(f41,plain,(
% 0.19/0.41 ![X0]: (product(X0,identity,X0))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.41 fof(f43,plain,(
% 0.19/0.41 ![X0]: (product(X0,inverse(X0),identity))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.41 fof(f51,plain,(
% 0.19/0.41 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(A,inverse(B),C)))|subgroup_member(C))),
% 0.19/0.41 inference(miniscoping,[status(esa)],[f19])).
% 0.19/0.41 fof(f52,plain,(
% 0.19/0.41 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,inverse(X1),X2)|subgroup_member(X2))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f51])).
% 0.19/0.41 fof(f53,plain,(
% 0.19/0.41 subgroup_member(a)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.41 fof(f54,plain,(
% 0.19/0.41 ![X0]: (~subgroup_member(X0)|subgroup_member(j(X0)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.41 fof(f55,plain,(
% 0.19/0.41 ![X0]: (~product(j(X0),X0,j(X0))|~product(X0,j(X0),j(X0))|~subgroup_member(X0))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.41 fof(f58,plain,(
% 0.19/0.41 subgroup_member(j(a))),
% 0.19/0.41 inference(resolution,[status(thm)],[f53,f54])).
% 0.19/0.41 fof(f59,plain,(
% 0.19/0.41 subgroup_member(j(j(a)))),
% 0.19/0.41 inference(resolution,[status(thm)],[f58,f54])).
% 0.19/0.41 fof(f60,plain,(
% 0.19/0.41 subgroup_member(j(j(j(a))))),
% 0.19/0.41 inference(resolution,[status(thm)],[f59,f54])).
% 0.19/0.41 fof(f61,plain,(
% 0.19/0.41 subgroup_member(j(j(j(j(a)))))),
% 0.19/0.41 inference(resolution,[status(thm)],[f60,f54])).
% 0.19/0.41 fof(f62,plain,(
% 0.19/0.41 subgroup_member(j(j(j(j(j(a))))))),
% 0.19/0.41 inference(resolution,[status(thm)],[f61,f54])).
% 0.19/0.41 fof(f63,plain,(
% 0.19/0.41 subgroup_member(j(j(j(j(j(j(a)))))))),
% 0.19/0.41 inference(resolution,[status(thm)],[f62,f54])).
% 0.19/0.41 fof(f64,plain,(
% 0.19/0.41 subgroup_member(j(j(j(j(j(j(j(a))))))))),
% 0.19/0.41 inference(resolution,[status(thm)],[f63,f54])).
% 0.19/0.41 fof(f65,plain,(
% 0.19/0.41 subgroup_member(j(j(j(j(j(j(j(j(a)))))))))),
% 0.19/0.41 inference(resolution,[status(thm)],[f64,f54])).
% 0.19/0.41 fof(f66,plain,(
% 0.19/0.41 subgroup_member(j(j(j(j(j(j(j(j(j(a))))))))))),
% 0.19/0.41 inference(resolution,[status(thm)],[f65,f54])).
% 0.19/0.41 fof(f78,plain,(
% 0.19/0.41 spl0_0 <=> product(identity,j(identity),j(identity))),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f80,plain,(
% 0.19/0.41 ~product(identity,j(identity),j(identity))|spl0_0),
% 0.19/0.41 inference(component_clause,[status(thm)],[f78])).
% 0.19/0.41 fof(f81,plain,(
% 0.19/0.41 spl0_1 <=> subgroup_member(identity)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f84,plain,(
% 0.19/0.41 ~product(identity,j(identity),j(identity))|~subgroup_member(identity)),
% 0.19/0.41 inference(resolution,[status(thm)],[f41,f55])).
% 0.19/0.41 fof(f85,plain,(
% 0.19/0.41 ~spl0_0|~spl0_1),
% 0.19/0.41 inference(split_clause,[status(thm)],[f84,f78,f81])).
% 0.19/0.41 fof(f93,plain,(
% 0.19/0.41 $false|spl0_0),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f80,f40])).
% 0.19/0.41 fof(f94,plain,(
% 0.19/0.41 spl0_0),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f93])).
% 0.19/0.41 fof(f2206,plain,(
% 0.19/0.41 spl0_29 <=> ~subgroup_member(X0)|~subgroup_member(X0)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f2207,plain,(
% 0.19/0.41 ![X0]: (~subgroup_member(X0)|~subgroup_member(X0)|~spl0_29)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f2206])).
% 0.19/0.42 fof(f2219,plain,(
% 0.19/0.42 ![X0]: (~subgroup_member(X0)|~subgroup_member(X0)|subgroup_member(identity))),
% 0.19/0.42 inference(resolution,[status(thm)],[f52,f43])).
% 0.19/0.42 fof(f2220,plain,(
% 0.19/0.42 spl0_29|spl0_1),
% 0.19/0.42 inference(split_clause,[status(thm)],[f2219,f2206,f81])).
% 0.19/0.42 fof(f2224,plain,(
% 0.19/0.42 ![X0]: (~subgroup_member(X0)|~spl0_29)),
% 0.19/0.42 inference(duplicate_literals_removal,[status(esa)],[f2207])).
% 0.19/0.42 fof(f2321,plain,(
% 0.19/0.42 $false|~spl0_29),
% 0.19/0.42 inference(backward_subsumption_resolution,[status(thm)],[f66,f2224])).
% 0.19/0.42 fof(f2322,plain,(
% 0.19/0.42 ~spl0_29),
% 0.19/0.42 inference(contradiction_clause,[status(thm)],[f2321])).
% 0.19/0.42 fof(f2323,plain,(
% 0.19/0.42 $false),
% 0.19/0.42 inference(sat_refutation,[status(thm)],[f85,f94,f2220,f2322])).
% 0.19/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.42 % Elapsed time: 0.076876 seconds
% 0.19/0.42 % CPU time: 0.486408 seconds
% 0.19/0.42 % Memory used: 20.429 MB
%------------------------------------------------------------------------------