TSTP Solution File: GRP039-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP039-2 : 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 : Tue Apr 30 20:18:52 EDT 2024
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP039-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 00:52:14 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,axiom,(
% 0.12/0.39 (![X]: (( ~ subgroup_member(X)| subgroup_member(inverse(X)) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,axiom,(
% 0.12/0.39 (![X,Y,Z]: (( ~ subgroup_member(X)| ~ subgroup_member(Y)| multiply(X,Y) != Z| subgroup_member(Z) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,axiom,(
% 0.12/0.39 (![X]: (multiply(X,identity) = X ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,axiom,(
% 0.12/0.39 (![X]: (multiply(X,inverse(X)) = identity ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,axiom,(
% 0.12/0.39 (![X,Y]: (( subgroup_member(X)| subgroup_member(Y)| subgroup_member(element_in_O2(X,Y)) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,axiom,(
% 0.12/0.39 (![X,Y]: (( subgroup_member(X)| subgroup_member(Y)| multiply(X,element_in_O2(X,Y)) = Y ) ))),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f10,negated_conjecture,(
% 0.12/0.39 subgroup_member(b) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f11,negated_conjecture,(
% 0.12/0.39 multiply(b,inverse(a)) = c ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f12,negated_conjecture,(
% 0.12/0.39 multiply(a,c) = d ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f13,negated_conjecture,(
% 0.12/0.39 ~ subgroup_member(d) ),
% 0.12/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f14,plain,(
% 0.12/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.12/0.39 fof(f15,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.39 fof(f16,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.39 fof(f17,plain,(
% 0.12/0.39 ![X0]: (~subgroup_member(X0)|subgroup_member(inverse(X0)))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.39 fof(f18,plain,(
% 0.12/0.39 ![Z]: ((![X,Y]: ((~subgroup_member(X)|~subgroup_member(Y))|~multiply(X,Y)=Z))|subgroup_member(Z))),
% 0.12/0.39 inference(miniscoping,[status(esa)],[f5])).
% 0.12/0.39 fof(f19,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~multiply(X0,X1)=X2|subgroup_member(X2))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f18])).
% 0.12/0.39 fof(f20,plain,(
% 0.12/0.39 ![X0]: (multiply(X0,identity)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.39 fof(f21,plain,(
% 0.12/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.39 fof(f22,plain,(
% 0.12/0.39 ![X0,X1]: (subgroup_member(X0)|subgroup_member(X1)|subgroup_member(element_in_O2(X0,X1)))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.39 fof(f23,plain,(
% 0.12/0.39 ![X0,X1]: (subgroup_member(X0)|subgroup_member(X1)|multiply(X0,element_in_O2(X0,X1))=X1)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.39 fof(f24,plain,(
% 0.12/0.39 subgroup_member(b)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f10])).
% 0.12/0.39 fof(f25,plain,(
% 0.12/0.39 multiply(b,inverse(a))=c),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f11])).
% 0.12/0.39 fof(f26,plain,(
% 0.12/0.39 multiply(a,c)=d),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.39 fof(f27,plain,(
% 0.12/0.39 ~subgroup_member(d)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.39 fof(f28,plain,(
% 0.12/0.39 ![X0,X1]: (~subgroup_member(X0)|~subgroup_member(X1)|subgroup_member(multiply(X0,X1)))),
% 0.12/0.39 inference(destructive_equality_resolution,[status(esa)],[f19])).
% 0.12/0.39 fof(f32,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f15,f16])).
% 0.12/0.39 fof(f33,plain,(
% 0.12/0.39 ![X0]: (multiply(c,X0)=multiply(b,multiply(inverse(a),X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f25,f16])).
% 0.12/0.39 fof(f35,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(X0,multiply(X1,inverse(multiply(X0,X1))))=identity)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f16,f21])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 ![X0,X1]: (~subgroup_member(X0)|subgroup_member(multiply(X0,inverse(X1)))|~subgroup_member(X1))),
% 0.12/0.39 inference(resolution,[status(thm)],[f28,f17])).
% 0.12/0.39 fof(f39,plain,(
% 0.12/0.39 ![X0]: (~subgroup_member(X0)|subgroup_member(multiply(X0,b)))),
% 0.12/0.39 inference(resolution,[status(thm)],[f28,f24])).
% 0.12/0.39 fof(f40,plain,(
% 0.12/0.39 ![X0]: (subgroup_member(multiply(inverse(X0),b))|~subgroup_member(X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f39,f17])).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 subgroup_member(multiply(b,b))),
% 0.12/0.39 inference(resolution,[status(thm)],[f39,f24])).
% 0.12/0.39 fof(f44,plain,(
% 0.12/0.39 ![X0]: (~subgroup_member(X0)|subgroup_member(multiply(X0,multiply(b,b))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f41,f28])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 spl0_0 <=> subgroup_member(identity)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f51,plain,(
% 0.12/0.39 spl0_1 <=> subgroup_member(b)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f53,plain,(
% 0.12/0.39 ~subgroup_member(b)|spl0_1),
% 0.12/0.39 inference(component_clause,[status(thm)],[f51])).
% 0.12/0.39 fof(f54,plain,(
% 0.12/0.39 subgroup_member(identity)|~subgroup_member(b)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f15,f40])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 spl0_0|~spl0_1),
% 0.12/0.39 inference(split_clause,[status(thm)],[f54,f48,f51])).
% 0.12/0.39 fof(f56,plain,(
% 0.12/0.39 $false|spl0_1),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f53,f24])).
% 0.12/0.39 fof(f57,plain,(
% 0.12/0.39 spl0_1),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f56])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 multiply(c,a)=multiply(b,identity)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f15,f33])).
% 0.12/0.39 fof(f124,plain,(
% 0.12/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f14,f32])).
% 0.12/0.39 fof(f127,plain,(
% 0.12/0.39 identity=inverse(identity)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f21,f14])).
% 0.12/0.39 fof(f146,plain,(
% 0.12/0.39 spl0_2 <=> subgroup_member(multiply(identity,b))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f149,plain,(
% 0.12/0.39 subgroup_member(multiply(identity,b))|~subgroup_member(identity)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f127,f40])).
% 0.12/0.39 fof(f150,plain,(
% 0.12/0.39 spl0_2|~spl0_0),
% 0.12/0.39 inference(split_clause,[status(thm)],[f149,f146,f48])).
% 0.12/0.39 fof(f164,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f15,f124])).
% 0.12/0.39 fof(f165,plain,(
% 0.12/0.39 ![X0]: (X0=inverse(inverse(X0)))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f20,f164])).
% 0.12/0.39 fof(f169,plain,(
% 0.12/0.39 c=multiply(inverse(a),d)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f26,f124])).
% 0.12/0.39 fof(f171,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=multiply(inverse(X1),identity))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f35,f124])).
% 0.12/0.39 fof(f172,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f20,f171])).
% 0.12/0.39 fof(f226,plain,(
% 0.12/0.39 ![X0,X1,X2]: (subgroup_member(X0)|subgroup_member(X1)|~subgroup_member(X2)|subgroup_member(multiply(X2,element_in_O2(X0,X1))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f22,f28])).
% 0.12/0.39 fof(f227,plain,(
% 0.12/0.39 multiply(c,a)=b),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f20,f112])).
% 0.12/0.39 fof(f229,plain,(
% 0.12/0.39 a=multiply(inverse(c),b)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f227,f124])).
% 0.12/0.39 fof(f232,plain,(
% 0.12/0.39 spl0_3 <=> subgroup_member(a)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f233,plain,(
% 0.12/0.39 subgroup_member(a)|~spl0_3),
% 0.12/0.39 inference(component_clause,[status(thm)],[f232])).
% 0.12/0.39 fof(f234,plain,(
% 0.12/0.39 ~subgroup_member(a)|spl0_3),
% 0.12/0.39 inference(component_clause,[status(thm)],[f232])).
% 0.12/0.39 fof(f235,plain,(
% 0.12/0.39 spl0_4 <=> subgroup_member(c)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f236,plain,(
% 0.12/0.39 subgroup_member(c)|~spl0_4),
% 0.12/0.39 inference(component_clause,[status(thm)],[f235])).
% 0.12/0.39 fof(f238,plain,(
% 0.12/0.39 subgroup_member(a)|~subgroup_member(c)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f229,f40])).
% 0.12/0.39 fof(f239,plain,(
% 0.12/0.39 spl0_3|~spl0_4),
% 0.12/0.39 inference(split_clause,[status(thm)],[f238,f232,f235])).
% 0.12/0.39 fof(f249,plain,(
% 0.12/0.39 multiply(d,element_in_O2(d,d))=d),
% 0.12/0.39 inference(resolution,[status(thm)],[f23,f27])).
% 0.12/0.39 fof(f266,plain,(
% 0.12/0.39 ![X0]: (~subgroup_member(X0)|subgroup_member(multiply(X0,inverse(b))))),
% 0.12/0.39 inference(resolution,[status(thm)],[f38,f24])).
% 0.12/0.39 fof(f289,plain,(
% 0.12/0.39 ![X0]: (~subgroup_member(X0)|subgroup_member(multiply(X0,inverse(a)))|~spl0_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f233,f38])).
% 0.12/0.39 fof(f307,plain,(
% 0.12/0.39 ~subgroup_member(b)|subgroup_member(c)|~spl0_3),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f25,f289])).
% 0.12/0.39 fof(f308,plain,(
% 0.12/0.39 ~spl0_1|spl0_4|~spl0_3),
% 0.12/0.39 inference(split_clause,[status(thm)],[f307,f51,f235,f232])).
% 0.12/0.39 fof(f314,plain,(
% 0.12/0.39 ![X0]: (subgroup_member(X0)|multiply(a,element_in_O2(a,X0))=X0|spl0_3)),
% 0.12/0.39 inference(resolution,[status(thm)],[f234,f23])).
% 0.12/0.39 fof(f378,plain,(
% 0.12/0.39 multiply(a,element_in_O2(a,d))=d|spl0_3),
% 0.12/0.39 inference(resolution,[status(thm)],[f314,f27])).
% 0.12/0.39 fof(f382,plain,(
% 0.12/0.39 element_in_O2(a,d)=multiply(inverse(a),d)|spl0_3),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f378,f124])).
% 0.12/0.39 fof(f383,plain,(
% 0.12/0.39 element_in_O2(a,d)=c|spl0_3),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f169,f382])).
% 0.12/0.39 fof(f387,plain,(
% 0.12/0.39 spl0_7 <=> subgroup_member(d)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f388,plain,(
% 0.12/0.39 subgroup_member(d)|~spl0_7),
% 0.12/0.39 inference(component_clause,[status(thm)],[f387])).
% 0.12/0.39 fof(f390,plain,(
% 0.12/0.39 subgroup_member(a)|subgroup_member(d)|subgroup_member(c)|spl0_3),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f383,f22])).
% 0.12/0.39 fof(f391,plain,(
% 0.12/0.39 spl0_3|spl0_7|spl0_4),
% 0.12/0.39 inference(split_clause,[status(thm)],[f390,f232,f387,f235])).
% 0.12/0.39 fof(f392,plain,(
% 0.12/0.39 $false|~spl0_7),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f388,f27])).
% 0.12/0.39 fof(f393,plain,(
% 0.12/0.39 ~spl0_7),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f392])).
% 0.12/0.39 fof(f399,plain,(
% 0.12/0.39 ![X0]: (~subgroup_member(X0)|subgroup_member(multiply(X0,c))|~spl0_4)),
% 0.12/0.39 inference(resolution,[status(thm)],[f236,f28])).
% 0.12/0.39 fof(f465,plain,(
% 0.12/0.39 element_in_O2(d,d)=multiply(inverse(d),d)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f249,f124])).
% 0.12/0.39 fof(f466,plain,(
% 0.12/0.39 element_in_O2(d,d)=identity),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f15,f465])).
% 0.12/0.39 fof(f513,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),inverse(inverse(X0)))=inverse(X1))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f172,f172])).
% 0.12/0.39 fof(f514,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f165,f513])).
% 0.12/0.39 fof(f533,plain,(
% 0.12/0.39 spl0_9 <=> subgroup_member(inverse(b))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f536,plain,(
% 0.12/0.39 ~subgroup_member(identity)|subgroup_member(inverse(b))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f14,f266])).
% 0.12/0.39 fof(f537,plain,(
% 0.12/0.39 ~spl0_0|spl0_9),
% 0.12/0.39 inference(split_clause,[status(thm)],[f536,f48,f533])).
% 0.12/0.39 fof(f539,plain,(
% 0.12/0.39 spl0_10 <=> subgroup_member(inverse(inverse(b)))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f597,plain,(
% 0.12/0.39 ![X0]: (subgroup_member(inverse(X0))|~subgroup_member(multiply(b,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f514,f40])).
% 0.12/0.39 fof(f616,plain,(
% 0.12/0.39 spl0_12 <=> subgroup_member(X0)|subgroup_member(X1)|subgroup_member(element_in_O2(X0,X1))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f619,plain,(
% 0.12/0.39 ![X0,X1]: (subgroup_member(X0)|subgroup_member(X1)|~subgroup_member(identity)|subgroup_member(element_in_O2(X0,X1)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f14,f226])).
% 0.12/0.39 fof(f620,plain,(
% 0.12/0.39 spl0_12|~spl0_0),
% 0.12/0.39 inference(split_clause,[status(thm)],[f619,f616,f48])).
% 0.12/0.39 fof(f628,plain,(
% 0.12/0.39 spl0_14 <=> ~subgroup_member(X0)|subgroup_member(multiply(X0,identity))),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f631,plain,(
% 0.12/0.39 ![X0]: (subgroup_member(d)|subgroup_member(d)|~subgroup_member(X0)|subgroup_member(multiply(X0,identity)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f466,f226])).
% 0.12/0.39 fof(f632,plain,(
% 0.12/0.39 spl0_7|spl0_14),
% 0.12/0.39 inference(split_clause,[status(thm)],[f631,f387,f628])).
% 0.12/0.39 fof(f681,plain,(
% 0.12/0.39 spl0_16 <=> subgroup_member(inverse(element_in_O2(X0,X1)))|subgroup_member(X0)|subgroup_member(X1)),
% 0.12/0.39 introduced(split_symbol_definition)).
% 0.12/0.39 fof(f684,plain,(
% 0.12/0.39 ![X0,X1]: (subgroup_member(inverse(element_in_O2(X0,X1)))|subgroup_member(X0)|subgroup_member(X1)|~subgroup_member(b))),
% 0.12/0.39 inference(resolution,[status(thm)],[f597,f226])).
% 0.12/0.40 fof(f685,plain,(
% 0.12/0.40 spl0_16|~spl0_1),
% 0.12/0.40 inference(split_clause,[status(thm)],[f684,f681,f51])).
% 0.12/0.40 fof(f703,plain,(
% 0.12/0.40 spl0_17 <=> subgroup_member(inverse(identity))),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f706,plain,(
% 0.12/0.40 subgroup_member(inverse(identity))|~subgroup_member(b)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f20,f597])).
% 0.12/0.40 fof(f707,plain,(
% 0.12/0.40 spl0_17|~spl0_1),
% 0.12/0.40 inference(split_clause,[status(thm)],[f706,f703,f51])).
% 0.12/0.40 fof(f711,plain,(
% 0.12/0.40 subgroup_member(inverse(inverse(b)))|~subgroup_member(identity)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f21,f597])).
% 0.12/0.40 fof(f712,plain,(
% 0.12/0.40 spl0_10|~spl0_0),
% 0.12/0.40 inference(split_clause,[status(thm)],[f711,f539,f48])).
% 0.12/0.40 fof(f740,plain,(
% 0.12/0.40 spl0_18 <=> subgroup_member(inverse(multiply(b,b)))),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f743,plain,(
% 0.12/0.40 ~subgroup_member(b)|subgroup_member(inverse(multiply(b,b)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f44,f597])).
% 0.12/0.40 fof(f744,plain,(
% 0.12/0.40 ~spl0_1|spl0_18),
% 0.12/0.40 inference(split_clause,[status(thm)],[f743,f51,f740])).
% 0.12/0.40 fof(f753,plain,(
% 0.12/0.40 spl0_19 <=> subgroup_member(multiply(b,b))),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f756,plain,(
% 0.12/0.40 ~subgroup_member(identity)|subgroup_member(multiply(b,b))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f14,f44])).
% 0.12/0.40 fof(f757,plain,(
% 0.12/0.40 ~spl0_0|spl0_19),
% 0.12/0.40 inference(split_clause,[status(thm)],[f756,f48,f753])).
% 0.12/0.40 fof(f1018,plain,(
% 0.12/0.40 ~subgroup_member(a)|subgroup_member(d)|~spl0_4),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f26,f399])).
% 0.12/0.40 fof(f1019,plain,(
% 0.12/0.40 ~spl0_3|spl0_7|~spl0_4),
% 0.12/0.40 inference(split_clause,[status(thm)],[f1018,f232,f387,f235])).
% 0.12/0.40 fof(f1020,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f55,f57,f150,f239,f308,f391,f393,f537,f620,f632,f685,f707,f712,f744,f757,f1019])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.42 % Elapsed time: 0.067687 seconds
% 0.18/0.42 % CPU time: 0.429509 seconds
% 0.18/0.42 % Total memory used: 66.235 MB
% 0.18/0.42 % Net memory used: 65.693 MB
%------------------------------------------------------------------------------