TSTP Solution File: GRP039-6 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP039-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 : Tue Apr 30 20:18:53 EDT 2024
% Result : Unsatisfiable 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP039-6 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.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 Apr 30 01:07:25 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.57 % Refutation found
% 0.19/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.57 fof(f1,axiom,(
% 0.19/0.57 (![A,B]: (( ~ equalish(A,B)| ~ subgroup_member(A)| subgroup_member(B) ) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f5,axiom,(
% 0.19/0.57 (![X]: (( ~ subgroup_member(X)| subgroup_member(inverse(X)) ) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f6,axiom,(
% 0.19/0.57 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(A,B,C)| subgroup_member(C) ) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f7,axiom,(
% 0.19/0.57 (![X]: (product(identity,X,X) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f9,axiom,(
% 0.19/0.57 (![X]: (product(inverse(X),X,identity) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f10,axiom,(
% 0.19/0.57 (![X]: (product(X,inverse(X),identity) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f11,axiom,(
% 0.19/0.57 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f12,axiom,(
% 0.19/0.57 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f14,axiom,(
% 0.19/0.57 subgroup_member(identity) ),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f15,axiom,(
% 0.19/0.57 (![A,B,C,D]: (( ~ product(A,B,C)| ~ product(A,D,C)| equalish(D,B) ) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f17,axiom,(
% 0.19/0.57 (![A,B]: (( subgroup_member(element_in_O2(A,B))| subgroup_member(B)| subgroup_member(A) ) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f18,axiom,(
% 0.19/0.57 (![A,B]: (( product(A,element_in_O2(A,B),B)| subgroup_member(B)| subgroup_member(A) ) ))),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f19,negated_conjecture,(
% 0.19/0.57 subgroup_member(b) ),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f20,negated_conjecture,(
% 0.19/0.57 product(b,inverse(a),c) ),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f21,negated_conjecture,(
% 0.19/0.57 product(a,c,d) ),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f22,negated_conjecture,(
% 0.19/0.57 ~ subgroup_member(d) ),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f23,plain,(
% 0.19/0.57 ![B]: ((![A]: (~equalish(A,B)|~subgroup_member(A)))|subgroup_member(B))),
% 0.19/0.57 inference(miniscoping,[status(esa)],[f1])).
% 0.19/0.57 fof(f24,plain,(
% 0.19/0.57 ![X0,X1]: (~equalish(X0,X1)|~subgroup_member(X0)|subgroup_member(X1))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.57 fof(f31,plain,(
% 0.19/0.57 ![X0]: (~subgroup_member(X0)|subgroup_member(inverse(X0)))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.57 fof(f32,plain,(
% 0.19/0.57 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(A,B,C)))|subgroup_member(C))),
% 0.19/0.57 inference(miniscoping,[status(esa)],[f6])).
% 0.19/0.57 fof(f33,plain,(
% 0.19/0.57 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,X1,X2)|subgroup_member(X2))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f32])).
% 0.19/0.57 fof(f34,plain,(
% 0.19/0.57 ![X0]: (product(identity,X0,X0))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.57 fof(f36,plain,(
% 0.19/0.57 ![X0]: (product(inverse(X0),X0,identity))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.57 fof(f37,plain,(
% 0.19/0.57 ![X0]: (product(X0,inverse(X0),identity))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.57 fof(f38,plain,(
% 0.19/0.57 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.19/0.57 inference(miniscoping,[status(esa)],[f11])).
% 0.19/0.57 fof(f39,plain,(
% 0.19/0.57 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f38])).
% 0.19/0.57 fof(f40,plain,(
% 0.19/0.57 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 0.19/0.57 inference(miniscoping,[status(esa)],[f12])).
% 0.19/0.57 fof(f41,plain,(
% 0.19/0.57 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f40])).
% 0.19/0.57 fof(f44,plain,(
% 0.19/0.57 subgroup_member(identity)),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.57 fof(f45,plain,(
% 0.19/0.57 ![B,D]: ((![A,C]: (~product(A,B,C)|~product(A,D,C)))|equalish(D,B))),
% 0.19/0.57 inference(miniscoping,[status(esa)],[f15])).
% 0.19/0.57 fof(f46,plain,(
% 0.19/0.57 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X3,X1))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f45])).
% 0.19/0.57 fof(f49,plain,(
% 0.19/0.57 ![A]: ((![B]: (subgroup_member(element_in_O2(A,B))|subgroup_member(B)))|subgroup_member(A))),
% 0.19/0.57 inference(miniscoping,[status(esa)],[f17])).
% 0.19/0.57 fof(f50,plain,(
% 0.19/0.57 ![X0,X1]: (subgroup_member(element_in_O2(X0,X1))|subgroup_member(X1)|subgroup_member(X0))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f49])).
% 0.19/0.57 fof(f51,plain,(
% 0.19/0.57 ![A]: ((![B]: (product(A,element_in_O2(A,B),B)|subgroup_member(B)))|subgroup_member(A))),
% 0.19/0.57 inference(miniscoping,[status(esa)],[f18])).
% 0.19/0.57 fof(f52,plain,(
% 0.19/0.57 ![X0,X1]: (product(X0,element_in_O2(X0,X1),X1)|subgroup_member(X1)|subgroup_member(X0))),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f51])).
% 0.19/0.57 fof(f53,plain,(
% 0.19/0.57 subgroup_member(b)),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.57 fof(f54,plain,(
% 0.19/0.57 product(b,inverse(a),c)),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.57 fof(f55,plain,(
% 0.19/0.57 product(a,c,d)),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.57 fof(f56,plain,(
% 0.19/0.57 ~subgroup_member(d)),
% 0.19/0.57 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.57 fof(f57,plain,(
% 0.19/0.57 spl0_0 <=> subgroup_member(b)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f59,plain,(
% 0.19/0.57 ~subgroup_member(b)|spl0_0),
% 0.19/0.57 inference(component_clause,[status(thm)],[f57])).
% 0.19/0.57 fof(f60,plain,(
% 0.19/0.57 spl0_1 <=> subgroup_member(inverse(a))),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f61,plain,(
% 0.19/0.57 subgroup_member(inverse(a))|~spl0_1),
% 0.19/0.57 inference(component_clause,[status(thm)],[f60])).
% 0.19/0.57 fof(f62,plain,(
% 0.19/0.57 ~subgroup_member(inverse(a))|spl0_1),
% 0.19/0.57 inference(component_clause,[status(thm)],[f60])).
% 0.19/0.57 fof(f63,plain,(
% 0.19/0.57 spl0_2 <=> subgroup_member(c)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f66,plain,(
% 0.19/0.57 ~subgroup_member(b)|~subgroup_member(inverse(a))|subgroup_member(c)),
% 0.19/0.57 inference(resolution,[status(thm)],[f33,f54])).
% 0.19/0.57 fof(f67,plain,(
% 0.19/0.57 ~spl0_0|~spl0_1|spl0_2),
% 0.19/0.57 inference(split_clause,[status(thm)],[f66,f57,f60,f63])).
% 0.19/0.57 fof(f68,plain,(
% 0.19/0.57 spl0_3 <=> subgroup_member(a)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f71,plain,(
% 0.19/0.57 spl0_4 <=> subgroup_member(d)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f72,plain,(
% 0.19/0.57 subgroup_member(d)|~spl0_4),
% 0.19/0.57 inference(component_clause,[status(thm)],[f71])).
% 0.19/0.57 fof(f74,plain,(
% 0.19/0.57 ~subgroup_member(a)|~subgroup_member(c)|subgroup_member(d)),
% 0.19/0.57 inference(resolution,[status(thm)],[f33,f55])).
% 0.19/0.57 fof(f75,plain,(
% 0.19/0.57 ~spl0_3|~spl0_2|spl0_4),
% 0.19/0.57 inference(split_clause,[status(thm)],[f74,f68,f63,f71])).
% 0.19/0.57 fof(f82,plain,(
% 0.19/0.57 ![X0,X1,X2,X3]: (~product(X0,X1,X1)|~product(X1,X2,X3)|product(X0,X3,X3))),
% 0.19/0.57 inference(factoring,[status(esa)],[f39])).
% 0.19/0.57 fof(f103,plain,(
% 0.19/0.57 spl0_6 <=> subgroup_member(identity)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f105,plain,(
% 0.19/0.57 ~subgroup_member(identity)|spl0_6),
% 0.19/0.57 inference(component_clause,[status(thm)],[f103])).
% 0.19/0.57 fof(f113,plain,(
% 0.19/0.57 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,identity,X3)|product(X2,inverse(X1),X3))),
% 0.19/0.57 inference(resolution,[status(thm)],[f37,f41])).
% 0.19/0.57 fof(f127,plain,(
% 0.19/0.57 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(X0,identity,X3)|~product(X4,X2,X2)|product(X4,X3,X3))),
% 0.19/0.57 inference(resolution,[status(thm)],[f113,f82])).
% 0.19/0.57 fof(f133,plain,(
% 0.19/0.57 spl0_7 <=> ~product(inverse(identity),X0,identity)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f134,plain,(
% 0.19/0.57 ![X0]: (~product(inverse(identity),X0,identity)|~spl0_7)),
% 0.19/0.57 inference(component_clause,[status(thm)],[f133])).
% 0.19/0.57 fof(f136,plain,(
% 0.19/0.57 spl0_8 <=> product(inverse(identity),identity,identity)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f139,plain,(
% 0.19/0.57 ![X0]: (~product(inverse(identity),X0,identity)|product(inverse(identity),identity,identity))),
% 0.19/0.57 inference(resolution,[status(thm)],[f127,f36])).
% 0.19/0.57 fof(f140,plain,(
% 0.19/0.57 spl0_7|spl0_8),
% 0.19/0.57 inference(split_clause,[status(thm)],[f139,f133,f136])).
% 0.19/0.57 fof(f169,plain,(
% 0.19/0.57 ![X0,X1,X2]: (subgroup_member(X0)|subgroup_member(X1)|~product(X1,X2,X0)|equalish(element_in_O2(X1,X0),X2))),
% 0.19/0.57 inference(resolution,[status(thm)],[f52,f46])).
% 0.19/0.57 fof(f199,plain,(
% 0.19/0.57 ![X0,X1,X2]: (subgroup_member(X0)|subgroup_member(X1)|~product(X1,X2,X0)|~subgroup_member(element_in_O2(X1,X0))|subgroup_member(X2))),
% 0.19/0.57 inference(resolution,[status(thm)],[f169,f24])).
% 0.19/0.57 fof(f200,plain,(
% 0.19/0.57 ![X0,X1,X2]: (subgroup_member(X0)|subgroup_member(X1)|~product(X1,X2,X0)|subgroup_member(X2))),
% 0.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f199,f50])).
% 0.19/0.57 fof(f208,plain,(
% 0.19/0.57 subgroup_member(d)|subgroup_member(a)|subgroup_member(c)),
% 0.19/0.57 inference(resolution,[status(thm)],[f200,f55])).
% 0.19/0.57 fof(f209,plain,(
% 0.19/0.57 spl0_4|spl0_3|spl0_2),
% 0.19/0.57 inference(split_clause,[status(thm)],[f208,f71,f68,f63])).
% 0.19/0.57 fof(f215,plain,(
% 0.19/0.57 $false|~spl0_4),
% 0.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f72,f56])).
% 0.19/0.57 fof(f216,plain,(
% 0.19/0.57 ~spl0_4),
% 0.19/0.57 inference(contradiction_clause,[status(thm)],[f215])).
% 0.19/0.57 fof(f217,plain,(
% 0.19/0.57 $false|spl0_0),
% 0.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f59,f53])).
% 0.19/0.57 fof(f218,plain,(
% 0.19/0.57 spl0_0),
% 0.19/0.57 inference(contradiction_clause,[status(thm)],[f217])).
% 0.19/0.57 fof(f229,plain,(
% 0.19/0.57 spl0_15 <=> ~product(identity,X0,identity)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f230,plain,(
% 0.19/0.57 ![X0]: (~product(identity,X0,identity)|~spl0_15)),
% 0.19/0.57 inference(component_clause,[status(thm)],[f229])).
% 0.19/0.57 fof(f232,plain,(
% 0.19/0.57 spl0_16 <=> product(identity,identity,identity)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f235,plain,(
% 0.19/0.57 ![X0]: (~product(identity,X0,identity)|product(identity,identity,identity))),
% 0.19/0.57 inference(resolution,[status(thm)],[f34,f127])).
% 0.19/0.57 fof(f236,plain,(
% 0.19/0.57 spl0_15|spl0_16),
% 0.19/0.57 inference(split_clause,[status(thm)],[f235,f229,f232])).
% 0.19/0.57 fof(f264,plain,(
% 0.19/0.57 ![X0,X1,X2,X3]: (~product(X0,X1,identity)|~product(X1,X2,X3)|product(X0,X3,X2))),
% 0.19/0.57 inference(resolution,[status(thm)],[f34,f39])).
% 0.19/0.57 fof(f267,plain,(
% 0.19/0.57 spl0_19 <=> ~subgroup_member(X0)|subgroup_member(X0)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f270,plain,(
% 0.19/0.57 ![X0]: (~subgroup_member(identity)|~subgroup_member(X0)|subgroup_member(X0))),
% 0.19/0.57 inference(resolution,[status(thm)],[f34,f33])).
% 0.19/0.57 fof(f271,plain,(
% 0.19/0.57 ~spl0_6|spl0_19),
% 0.19/0.57 inference(split_clause,[status(thm)],[f270,f103,f267])).
% 0.19/0.57 fof(f273,plain,(
% 0.19/0.57 $false|spl0_6),
% 0.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f105,f44])).
% 0.19/0.57 fof(f274,plain,(
% 0.19/0.57 spl0_6),
% 0.19/0.57 inference(contradiction_clause,[status(thm)],[f273])).
% 0.19/0.57 fof(f275,plain,(
% 0.19/0.57 ~subgroup_member(a)|spl0_1),
% 0.19/0.57 inference(resolution,[status(thm)],[f62,f31])).
% 0.19/0.57 fof(f276,plain,(
% 0.19/0.57 ~spl0_3|spl0_1),
% 0.19/0.57 inference(split_clause,[status(thm)],[f275,f68,f60])).
% 0.19/0.57 fof(f277,plain,(
% 0.19/0.57 $false|~spl0_7),
% 0.19/0.57 inference(resolution,[status(thm)],[f134,f36])).
% 0.19/0.57 fof(f278,plain,(
% 0.19/0.57 ~spl0_7),
% 0.19/0.57 inference(contradiction_clause,[status(thm)],[f277])).
% 0.19/0.57 fof(f279,plain,(
% 0.19/0.57 $false|~spl0_15),
% 0.19/0.57 inference(resolution,[status(thm)],[f230,f34])).
% 0.19/0.57 fof(f280,plain,(
% 0.19/0.57 ~spl0_15),
% 0.19/0.57 inference(contradiction_clause,[status(thm)],[f279])).
% 0.19/0.57 fof(f456,plain,(
% 0.19/0.57 ![X0,X1,X2]: (~product(X0,X1,X2)|product(inverse(X0),X2,X1))),
% 0.19/0.57 inference(resolution,[status(thm)],[f264,f36])).
% 0.19/0.57 fof(f491,plain,(
% 0.19/0.57 ![X0,X1,X2]: (~product(X0,X1,X2)|~subgroup_member(inverse(X0))|~subgroup_member(X2)|subgroup_member(X1))),
% 0.19/0.57 inference(resolution,[status(thm)],[f456,f33])).
% 0.19/0.57 fof(f540,plain,(
% 0.19/0.57 spl0_43 <=> ~subgroup_member(inverse(inverse(X0)))|subgroup_member(X0)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f541,plain,(
% 0.19/0.57 ![X0]: (~subgroup_member(inverse(inverse(X0)))|subgroup_member(X0)|~spl0_43)),
% 0.19/0.57 inference(component_clause,[status(thm)],[f540])).
% 0.19/0.57 fof(f543,plain,(
% 0.19/0.57 ![X0]: (~subgroup_member(inverse(inverse(X0)))|~subgroup_member(identity)|subgroup_member(X0))),
% 0.19/0.57 inference(resolution,[status(thm)],[f491,f36])).
% 0.19/0.57 fof(f544,plain,(
% 0.19/0.57 spl0_43|~spl0_6),
% 0.19/0.57 inference(split_clause,[status(thm)],[f543,f540,f103])).
% 0.19/0.57 fof(f546,plain,(
% 0.19/0.57 spl0_44 <=> subgroup_member(inverse(b))),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f548,plain,(
% 0.19/0.57 ~subgroup_member(inverse(b))|spl0_44),
% 0.19/0.57 inference(component_clause,[status(thm)],[f546])).
% 0.19/0.57 fof(f549,plain,(
% 0.19/0.57 ~subgroup_member(inverse(b))|~subgroup_member(c)|subgroup_member(inverse(a))),
% 0.19/0.57 inference(resolution,[status(thm)],[f491,f54])).
% 0.19/0.57 fof(f550,plain,(
% 0.19/0.57 ~spl0_44|~spl0_2|spl0_1),
% 0.19/0.57 inference(split_clause,[status(thm)],[f549,f546,f63,f60])).
% 0.19/0.57 fof(f568,plain,(
% 0.19/0.57 spl0_48 <=> ~subgroup_member(inverse(X0))|subgroup_member(inverse(X0))),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f571,plain,(
% 0.19/0.57 ![X0]: (~subgroup_member(inverse(X0))|~subgroup_member(identity)|subgroup_member(inverse(X0)))),
% 0.19/0.57 inference(resolution,[status(thm)],[f491,f37])).
% 0.19/0.57 fof(f572,plain,(
% 0.19/0.57 spl0_48|~spl0_6),
% 0.19/0.57 inference(split_clause,[status(thm)],[f571,f568,f103])).
% 0.19/0.57 fof(f841,plain,(
% 0.19/0.57 ![X0]: (subgroup_member(X0)|~subgroup_member(inverse(X0))|~spl0_43)),
% 0.19/0.57 inference(resolution,[status(thm)],[f541,f31])).
% 0.19/0.57 fof(f843,plain,(
% 0.19/0.57 subgroup_member(a)|~spl0_43|~spl0_1),
% 0.19/0.57 inference(resolution,[status(thm)],[f841,f61])).
% 0.19/0.57 fof(f844,plain,(
% 0.19/0.57 spl0_3|~spl0_43|~spl0_1),
% 0.19/0.57 inference(split_clause,[status(thm)],[f843,f68,f540,f60])).
% 0.19/0.57 fof(f864,plain,(
% 0.19/0.57 ~subgroup_member(b)|spl0_44),
% 0.19/0.57 inference(resolution,[status(thm)],[f548,f31])).
% 0.19/0.57 fof(f865,plain,(
% 0.19/0.57 ~spl0_0|spl0_44),
% 0.19/0.57 inference(split_clause,[status(thm)],[f864,f57,f546])).
% 0.19/0.57 fof(f866,plain,(
% 0.19/0.57 $false),
% 0.19/0.57 inference(sat_refutation,[status(thm)],[f67,f75,f140,f209,f216,f218,f236,f271,f274,f276,f278,f280,f544,f550,f572,f844,f865])).
% 0.19/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.58 % Elapsed time: 0.228411 seconds
% 0.19/0.58 % CPU time: 1.755929 seconds
% 0.19/0.58 % Total memory used: 20.135 MB
% 0.19/0.58 % Net memory used: 18.774 MB
%------------------------------------------------------------------------------