%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP039-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:32 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP039-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 19:55:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 (![X]: (product(identity,X,X) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,axiom,(
% 0.13/0.42 (![X]: (product(X,identity,X) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f3,axiom,(
% 0.13/0.42 (![X]: (product(inverse(X),X,identity) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f7,axiom,(
% 0.13/0.42 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f9,axiom,(
% 0.13/0.42 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(A,inverse(B),C)| subgroup_member(C) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f10,axiom,(
% 0.13/0.42 (![A,B,C,D]: (( ~ product(A,B,C)| ~ product(A,D,C)| D = B ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f12,axiom,(
% 0.13/0.42 (![A]: (inverse(inverse(A)) = A ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f14,axiom,(
% 0.13/0.42 (![A]: (( ~ subgroup_member(A)| subgroup_member(inverse(A)) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f15,axiom,(
% 0.13/0.42 (![A,B]: (( subgroup_member(element_in_O2(A,B))| subgroup_member(B)| subgroup_member(A) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f16,axiom,(
% 0.13/0.42 (![A,B]: (( product(A,element_in_O2(A,B),B)| subgroup_member(B)| subgroup_member(A) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f17,negated_conjecture,(
% 0.13/0.42 subgroup_member(b) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f18,negated_conjecture,(
% 0.13/0.42 product(b,inverse(a),c) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f19,negated_conjecture,(
% 0.13/0.42 product(a,c,d) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f20,negated_conjecture,(
% 0.13/0.42 ~ subgroup_member(d) ),
% 0.13/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f21,plain,(
% 0.13/0.42 ![X0]: (product(identity,X0,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.42 fof(f22,plain,(
% 0.13/0.42 ![X0]: (product(X0,identity,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.42 fof(f23,plain,(
% 0.13/0.42 ![X0]: (product(inverse(X0),X0,identity))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.42 fof(f28,plain,(
% 0.13/0.42 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f7])).
% 0.13/0.42 fof(f29,plain,(
% 0.13/0.42 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.42 fof(f32,plain,(
% 0.13/0.42 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(A,inverse(B),C)))|subgroup_member(C))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.42 fof(f33,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,inverse(X1),X2)|subgroup_member(X2))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.42 fof(f34,plain,(
% 0.13/0.42 ![B,D]: ((![A,C]: (~product(A,B,C)|~product(A,D,C)))|D=B)),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f10])).
% 0.13/0.42 fof(f35,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|X3=X1)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.42 fof(f38,plain,(
% 0.13/0.42 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.42 fof(f40,plain,(
% 0.13/0.42 ![X0]: (~subgroup_member(X0)|subgroup_member(inverse(X0)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.42 fof(f41,plain,(
% 0.13/0.42 ![A]: ((![B]: (subgroup_member(element_in_O2(A,B))|subgroup_member(B)))|subgroup_member(A))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f15])).
% 0.13/0.42 fof(f42,plain,(
% 0.13/0.42 ![X0,X1]: (subgroup_member(element_in_O2(X0,X1))|subgroup_member(X1)|subgroup_member(X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.42 fof(f43,plain,(
% 0.13/0.42 ![A]: ((![B]: (product(A,element_in_O2(A,B),B)|subgroup_member(B)))|subgroup_member(A))),
% 0.13/0.42 inference(miniscoping,[status(thm)],[f16])).
% 0.13/0.42 fof(f44,plain,(
% 0.13/0.42 ![X0,X1]: (product(X0,element_in_O2(X0,X1),X1)|subgroup_member(X1)|subgroup_member(X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.42 fof(f45,plain,(
% 0.13/0.42 subgroup_member(b)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.42 fof(f46,plain,(
% 0.13/0.42 product(b,inverse(a),c)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.42 fof(f47,plain,(
% 0.13/0.42 product(a,c,d)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.42 fof(f48,plain,(
% 0.13/0.42 ~subgroup_member(d)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.42 fof(f50,plain,(
% 0.13/0.42 ![X0]: (~subgroup_member(inverse(X0))|subgroup_member(X0))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f38,f40])).
% 0.13/0.42 fof(f57,plain,(
% 0.13/0.42 ![X0]: (~product(a,X0,d)|c=X0)),
% 0.13/0.42 inference(resolution,[status(thm)],[f35,f47])).
% 0.13/0.42 fof(f59,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~product(X0,b,X1)|~product(X1,inverse(a),X2)|product(X0,c,X2))),
% 0.13/0.42 inference(resolution,[status(thm)],[f29,f46])).
% 0.13/0.42 fof(f86,plain,(
% 0.13/0.42 ![X0,X1]: (~product(X0,X1,X0)|identity=X1)),
% 0.13/0.42 inference(resolution,[status(thm)],[f22,f35])).
% 0.13/0.42 fof(f126,definition,(
% 0.13/0.42 sQ0_spl <=> (subgroup_member(identity))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f133,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~subgroup_member(X0)|~product(X0,inverse(inverse(X1)),X2)|subgroup_member(X2)|~subgroup_member(X1))),
% 0.13/0.42 inference(resolution,[status(thm)],[f33,f40])).
% 0.13/0.42 fof(f134,plain,(
% 0.13/0.42 ![X0,X1]: (~subgroup_member(X0)|~product(X0,inverse(b),X1)|subgroup_member(X1))),
% 0.13/0.42 inference(resolution,[status(thm)],[f33,f45])).
% 0.13/0.42 fof(f136,plain,(
% 0.13/0.42 ![X0,X1,X2]: (~subgroup_member(X0)|~product(X0,X1,X2)|subgroup_member(X2)|~subgroup_member(X1))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f38,f133])).
% 0.13/0.42 fof(f210,plain,(
% 0.13/0.42 subgroup_member(d)|subgroup_member(a)|c=element_in_O2(a,d)),
% 0.13/0.42 inference(resolution,[status(thm)],[f44,f57])).
% 0.13/0.42 fof(f214,plain,(
% 0.13/0.42 ![X0]: (subgroup_member(X0)|subgroup_member(X0)|identity=element_in_O2(X0,X0))),
% 0.13/0.42 inference(resolution,[status(thm)],[f44,f86])).
% 0.13/0.42 fof(f228,definition,(
% 0.13/0.42 sQ2_spl <=> (subgroup_member(c))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f231,definition,(
% 0.13/0.42 sQ3_spl <=> (subgroup_member(b))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f242,definition,(
% 0.13/0.42 sQ6_spl <=> (subgroup_member(d))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f243,plain,(
% 0.13/0.42 subgroup_member(d)|~sQ6_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f242])).
% 0.13/0.42 fof(f245,definition,(
% 0.13/0.42 sQ7_spl <=> (subgroup_member(a))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f248,definition,(
% 0.13/0.42 sQ8_spl <=> (c=element_in_O2(a,d))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f249,plain,(
% 0.13/0.42 c=element_in_O2(a,d)|~sQ8_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f248])).
% 0.13/0.42 fof(f251,plain,(
% 0.13/0.42 sQ6_spl|sQ7_spl|sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f210,f242,f245,f248])).
% 0.13/0.42 fof(f256,plain,(
% 0.13/0.42 ![X0]: (subgroup_member(X0)|identity=element_in_O2(X0,X0))),
% 0.13/0.42 inference(duplicate_literals_removal,[status(thm)],[f214])).
% 0.13/0.42 fof(f257,plain,(
% 0.13/0.42 $false|~sQ6_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f243,f48])).
% 0.13/0.42 fof(f258,plain,(
% 0.13/0.42 ~sQ6_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f257])).
% 0.13/0.42 fof(f259,plain,(
% 0.13/0.42 ![X0]: (~product(identity,inverse(a),X0)|product(inverse(b),c,X0))),
% 0.13/0.42 inference(resolution,[status(thm)],[f59,f23])).
% 0.13/0.42 fof(f265,plain,(
% 0.13/0.42 subgroup_member(c)|subgroup_member(d)|subgroup_member(a)|~sQ8_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f249,f42])).
% 0.13/0.42 fof(f270,plain,(
% 0.13/0.42 sQ2_spl|sQ6_spl|sQ7_spl|~sQ8_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f265,f228,f242,f245,f248])).
% 0.13/0.42 fof(f275,plain,(
% 0.13/0.42 ![X0]: (identity=element_in_O2(inverse(X0),inverse(X0))|subgroup_member(X0))),
% 0.13/0.42 inference(resolution,[status(thm)],[f256,f50])).
% 0.13/0.42 fof(f276,plain,(
% 0.13/0.42 identity=element_in_O2(d,d)),
% 0.13/0.42 inference(resolution,[status(thm)],[f256,f48])).
% 0.13/0.42 fof(f278,plain,(
% 0.13/0.42 product(d,identity,d)|subgroup_member(d)|subgroup_member(d)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f276,f44])).
% 0.13/0.42 fof(f279,plain,(
% 0.13/0.42 subgroup_member(identity)|subgroup_member(d)|subgroup_member(d)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f276,f42])).
% 0.13/0.42 fof(f280,definition,(
% 0.13/0.42 sQ11_spl <=> (product(d,identity,d))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f283,plain,(
% 0.13/0.42 sQ11_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f278,f280,f242])).
% 0.13/0.42 fof(f284,plain,(
% 0.13/0.42 sQ0_spl|sQ6_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f279,f126,f242])).
% 0.13/0.42 fof(f346,definition,(
% 0.13/0.42 sQ16_spl <=> (subgroup_member(inverse(a)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f347,plain,(
% 0.13/0.42 subgroup_member(inverse(a))|~sQ16_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f346])).
% 0.13/0.42 fof(f348,plain,(
% 0.13/0.42 ~subgroup_member(inverse(a))|sQ16_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f346])).
% 0.13/0.42 fof(f352,plain,(
% 0.13/0.42 ~subgroup_member(identity)|subgroup_member(inverse(b))),
% 0.13/0.42 inference(resolution,[status(thm)],[f134,f21])).
% 0.13/0.42 fof(f359,definition,(
% 0.13/0.42 sQ18_spl <=> (subgroup_member(inverse(b)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f360,plain,(
% 0.13/0.42 subgroup_member(inverse(b))|~sQ18_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f359])).
% 0.13/0.42 fof(f362,plain,(
% 0.13/0.42 ~sQ0_spl|sQ18_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f352,f126,f359])).
% 0.13/0.42 fof(f374,plain,(
% 0.13/0.42 ![X0,X1]: (~subgroup_member(X0)|~product(X0,inverse(inverse(b)),X1)|subgroup_member(X1)|~sQ18_spl)),
% 0.13/0.42 inference(resolution,[status(thm)],[f360,f33])).
% 0.13/0.42 fof(f375,plain,(
% 0.13/0.42 ![X0,X1]: (~subgroup_member(X0)|~product(X0,b,X1)|subgroup_member(X1)|~sQ18_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f38,f374])).
% 0.13/0.42 fof(f393,plain,(
% 0.13/0.42 ~subgroup_member(identity)|subgroup_member(b)|~sQ18_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f375,f21])).
% 0.13/0.42 fof(f396,plain,(
% 0.13/0.42 ~sQ0_spl|sQ3_spl|~sQ18_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f393,f126,f231,f359])).
% 0.13/0.42 fof(f416,plain,(
% 0.13/0.42 identity=element_in_O2(inverse(d),inverse(d))),
% 0.13/0.42 inference(resolution,[status(thm)],[f275,f48])).
% 0.13/0.42 fof(f420,plain,(
% 0.13/0.42 product(inverse(d),identity,inverse(d))|subgroup_member(inverse(d))|subgroup_member(inverse(d))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f416,f44])).
% 0.13/0.42 fof(f422,definition,(
% 0.13/0.42 sQ22_spl <=> (product(inverse(d),identity,inverse(d)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f425,definition,(
% 0.13/0.42 sQ23_spl <=> (subgroup_member(inverse(d)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f426,plain,(
% 0.13/0.42 subgroup_member(inverse(d))|~sQ23_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f425])).
% 0.13/0.42 fof(f428,plain,(
% 0.13/0.42 sQ22_spl|sQ23_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f420,f422,f425])).
% 0.13/0.42 fof(f430,plain,(
% 0.13/0.42 subgroup_member(d)|~sQ23_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f426,f50])).
% 0.13/0.42 fof(f432,plain,(
% 0.13/0.42 sQ6_spl|~sQ23_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f430,f242,f425])).
% 0.13/0.42 fof(f440,plain,(
% 0.13/0.42 ![X0]: (~subgroup_member(identity)|subgroup_member(X0)|~subgroup_member(X0))),
% 0.13/0.42 inference(resolution,[status(thm)],[f136,f21])).
% 0.13/0.42 fof(f441,plain,(
% 0.13/0.42 ~subgroup_member(b)|subgroup_member(c)|~subgroup_member(inverse(a))),
% 0.13/0.42 inference(resolution,[status(thm)],[f136,f46])).
% 0.13/0.42 fof(f442,plain,(
% 0.13/0.42 ~subgroup_member(a)|subgroup_member(d)|~subgroup_member(c)),
% 0.13/0.42 inference(resolution,[status(thm)],[f136,f47])).
% 0.13/0.42 fof(f451,definition,(
% 0.13/0.42 ![X0]: (sQ25_spl <=> (subgroup_member(X0)|~subgroup_member(X0)))),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f454,plain,(
% 0.13/0.42 ~sQ0_spl|sQ25_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f440,f126,f451])).
% 0.13/0.42 fof(f455,plain,(
% 0.13/0.42 ~sQ3_spl|sQ2_spl|~sQ16_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f441,f231,f228,f346])).
% 0.13/0.42 fof(f456,plain,(
% 0.13/0.42 ~sQ7_spl|sQ6_spl|~sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f442,f245,f242,f228])).
% 0.13/0.42 fof(f504,plain,(
% 0.13/0.42 product(inverse(b),c,inverse(a))),
% 0.13/0.42 inference(resolution,[status(thm)],[f259,f21])).
% 0.13/0.42 fof(f743,plain,(
% 0.13/0.42 ~subgroup_member(inverse(b))|subgroup_member(inverse(a))|~subgroup_member(c)),
% 0.13/0.42 inference(resolution,[status(thm)],[f504,f136])).
% 0.13/0.42 fof(f755,plain,(
% 0.13/0.42 ~sQ18_spl|sQ16_spl|~sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f743,f359,f346,f228])).
% 0.13/0.42 fof(f756,plain,(
% 0.13/0.42 subgroup_member(a)|~sQ16_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f347,f50])).
% 0.13/0.42 fof(f758,plain,(
% 0.13/0.42 sQ7_spl|~sQ16_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f756,f245,f346])).
% 0.13/0.42 fof(f766,plain,(
% 0.13/0.42 ~subgroup_member(a)|sQ16_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f348,f40])).
% 0.13/0.42 fof(f769,plain,(
% 0.13/0.42 ~sQ7_spl|sQ16_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f766,f245,f346])).
% 0.13/0.42 fof(f772,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f251,f258,f270,f283,f284,f362,f396,f428,f432,f454,f455,f456,f755,f758,f769])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.079087 seconds
% 0.13/0.44 % CPU time: 0.354735 seconds
% 0.13/0.44 % Total memory used: 104.517 MB
% 0.13/0.44 % Net memory used: 103.710 MB
%------------------------------------------------------------------------------