TSTP Solution File: GRP376-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP376-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : Tue Apr 30 20:20:15 EDT 2024
% Result : Unsatisfiable 0.22s 0.50s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP376-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:23:40 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.37 % Drodi V3.6.0
% 0.22/0.50 % Refutation found
% 0.22/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.50 fof(f1,axiom,(
% 0.22/0.50 (![X]: (multiply(identity,X) = X ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f2,axiom,(
% 0.22/0.50 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f3,axiom,(
% 0.22/0.50 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f4,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f5,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f6,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f7,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f8,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f9,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f10,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f11,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f12,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f13,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f14,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f15,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f16,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f17,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f18,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f19,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f20,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c5,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f21,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f22,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c5,sk_c6) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f23,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c5,sk_c6) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f25,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c2,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f26,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f27,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c2,sk_c5) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f28,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c2,sk_c5) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f30,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c2) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f31,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c2) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f32,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c2) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f33,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c2) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f34,negated_conjecture,(
% 0.22/0.51 (![X3,X4,X1,X2]: (( inverse(sk_c7) != sk_c6| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c5,sk_c6) != sk_c7| multiply(X4,sk_c5) != sk_c7| inverse(X4) != sk_c5| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f35,plain,(
% 0.22/0.51 ![X0]: (multiply(identity,X0)=X0)),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f1])).
% 0.22/0.51 fof(f36,plain,(
% 0.22/0.51 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f2])).
% 0.22/0.51 fof(f37,plain,(
% 0.22/0.51 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f3])).
% 0.22/0.51 fof(f38,plain,(
% 0.22/0.51 inverse(sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f4])).
% 0.22/0.51 fof(f39,plain,(
% 0.22/0.51 inverse(sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f5])).
% 0.22/0.51 fof(f40,plain,(
% 0.22/0.51 inverse(sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f6])).
% 0.22/0.51 fof(f41,plain,(
% 0.22/0.51 inverse(sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f7])).
% 0.22/0.51 fof(f42,plain,(
% 0.22/0.51 inverse(sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f8])).
% 0.22/0.51 fof(f43,plain,(
% 0.22/0.51 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f9])).
% 0.22/0.51 fof(f44,plain,(
% 0.22/0.51 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f10])).
% 0.22/0.51 fof(f45,plain,(
% 0.22/0.51 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f11])).
% 0.22/0.51 fof(f46,plain,(
% 0.22/0.51 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f12])).
% 0.22/0.51 fof(f47,plain,(
% 0.22/0.51 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f13])).
% 0.22/0.51 fof(f48,plain,(
% 0.22/0.51 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f14])).
% 0.22/0.51 fof(f49,plain,(
% 0.22/0.51 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f15])).
% 0.22/0.51 fof(f50,plain,(
% 0.22/0.51 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f16])).
% 0.22/0.51 fof(f51,plain,(
% 0.22/0.51 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f17])).
% 0.22/0.51 fof(f52,plain,(
% 0.22/0.51 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f18])).
% 0.22/0.51 fof(f53,plain,(
% 0.22/0.51 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f19])).
% 0.22/0.51 fof(f54,plain,(
% 0.22/0.51 multiply(sk_c5,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f20])).
% 0.22/0.51 fof(f55,plain,(
% 0.22/0.51 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f21])).
% 0.22/0.51 fof(f56,plain,(
% 0.22/0.51 multiply(sk_c5,sk_c6)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f22])).
% 0.22/0.51 fof(f57,plain,(
% 0.22/0.51 multiply(sk_c5,sk_c6)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f23])).
% 0.22/0.51 fof(f59,plain,(
% 0.22/0.51 multiply(sk_c2,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f25])).
% 0.22/0.51 fof(f60,plain,(
% 0.22/0.51 multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f26])).
% 0.22/0.51 fof(f61,plain,(
% 0.22/0.51 multiply(sk_c2,sk_c5)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f27])).
% 0.22/0.51 fof(f62,plain,(
% 0.22/0.51 multiply(sk_c2,sk_c5)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f28])).
% 0.22/0.51 fof(f64,plain,(
% 0.22/0.51 inverse(sk_c2)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f30])).
% 0.22/0.51 fof(f65,plain,(
% 0.22/0.51 inverse(sk_c2)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f31])).
% 0.22/0.51 fof(f66,plain,(
% 0.22/0.51 inverse(sk_c2)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f32])).
% 0.22/0.51 fof(f67,plain,(
% 0.22/0.51 inverse(sk_c2)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f33])).
% 0.22/0.51 fof(f68,plain,(
% 0.22/0.51 ![X2]: (((![X1]: ((((![X4]: ((((![X3]: ((~inverse(sk_c7)=sk_c6|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(sk_c5,sk_c6)=sk_c7)|~multiply(X4,sk_c5)=sk_c7)|~inverse(X4)=sk_c5))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.22/0.51 inference(miniscoping,[status(esa)],[f34])).
% 0.22/0.51 fof(f69,plain,(
% 0.22/0.51 ![X0,X1,X2,X3]: (~inverse(sk_c7)=sk_c6|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c5,sk_c6)=sk_c7|~multiply(X1,sk_c5)=sk_c7|~inverse(X1)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.22/0.51 inference(cnf_transformation,[status(esa)],[f68])).
% 0.22/0.51 fof(f70,plain,(
% 0.22/0.51 spl0_0 <=> inverse(sk_c7)=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f71,plain,(
% 0.22/0.51 inverse(sk_c7)=sk_c6|~spl0_0),
% 0.22/0.51 inference(component_clause,[status(thm)],[f70])).
% 0.22/0.51 fof(f72,plain,(
% 0.22/0.51 ~inverse(sk_c7)=sk_c6|spl0_0),
% 0.22/0.51 inference(component_clause,[status(thm)],[f70])).
% 0.22/0.51 fof(f73,plain,(
% 0.22/0.51 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f74,plain,(
% 0.22/0.51 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.22/0.51 inference(component_clause,[status(thm)],[f73])).
% 0.22/0.51 fof(f75,plain,(
% 0.22/0.51 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.22/0.51 inference(component_clause,[status(thm)],[f73])).
% 0.22/0.51 fof(f76,plain,(
% 0.22/0.51 spl0_0|spl0_1),
% 0.22/0.51 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.22/0.51 fof(f77,plain,(
% 0.22/0.51 spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f78,plain,(
% 0.22/0.51 inverse(sk_c3)=sk_c7|~spl0_2),
% 0.22/0.51 inference(component_clause,[status(thm)],[f77])).
% 0.22/0.51 fof(f80,plain,(
% 0.22/0.51 spl0_0|spl0_2),
% 0.22/0.51 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.22/0.51 fof(f81,plain,(
% 0.22/0.51 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f82,plain,(
% 0.22/0.51 multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.22/0.51 inference(component_clause,[status(thm)],[f81])).
% 0.22/0.51 fof(f84,plain,(
% 0.22/0.51 spl0_0|spl0_3),
% 0.22/0.51 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.22/0.51 fof(f85,plain,(
% 0.22/0.51 spl0_4 <=> inverse(sk_c4)=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f86,plain,(
% 0.22/0.51 inverse(sk_c4)=sk_c6|~spl0_4),
% 0.22/0.51 inference(component_clause,[status(thm)],[f85])).
% 0.22/0.51 fof(f88,plain,(
% 0.22/0.51 spl0_0|spl0_4),
% 0.22/0.51 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.22/0.51 fof(f89,plain,(
% 0.22/0.51 spl0_5 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f90,plain,(
% 0.22/0.51 multiply(sk_c4,sk_c5)=sk_c6|~spl0_5),
% 0.22/0.51 inference(component_clause,[status(thm)],[f89])).
% 0.22/0.51 fof(f92,plain,(
% 0.22/0.51 spl0_0|spl0_5),
% 0.22/0.51 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.22/0.51 fof(f93,plain,(
% 0.22/0.51 spl0_6 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f94,plain,(
% 0.22/0.51 multiply(sk_c1,sk_c7)=sk_c6|~spl0_6),
% 0.22/0.51 inference(component_clause,[status(thm)],[f93])).
% 0.22/0.51 fof(f96,plain,(
% 0.22/0.51 spl0_6|spl0_1),
% 0.22/0.51 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.22/0.51 fof(f97,plain,(
% 0.22/0.51 spl0_6|spl0_2),
% 0.22/0.51 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.22/0.51 fof(f98,plain,(
% 0.22/0.51 spl0_6|spl0_3),
% 0.22/0.51 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.22/0.51 fof(f99,plain,(
% 0.22/0.51 spl0_6|spl0_4),
% 0.22/0.51 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.22/0.51 fof(f100,plain,(
% 0.22/0.51 spl0_6|spl0_5),
% 0.22/0.51 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.22/0.51 fof(f101,plain,(
% 0.22/0.51 spl0_7 <=> inverse(sk_c1)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f102,plain,(
% 0.22/0.51 inverse(sk_c1)=sk_c7|~spl0_7),
% 0.22/0.51 inference(component_clause,[status(thm)],[f101])).
% 0.22/0.51 fof(f104,plain,(
% 0.22/0.51 spl0_7|spl0_1),
% 0.22/0.51 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.22/0.51 fof(f105,plain,(
% 0.22/0.51 spl0_7|spl0_2),
% 0.22/0.51 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.22/0.51 fof(f106,plain,(
% 0.22/0.51 spl0_7|spl0_3),
% 0.22/0.51 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.22/0.51 fof(f107,plain,(
% 0.22/0.51 spl0_7|spl0_4),
% 0.22/0.51 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.22/0.51 fof(f108,plain,(
% 0.22/0.51 spl0_7|spl0_5),
% 0.22/0.51 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.22/0.51 fof(f109,plain,(
% 0.22/0.51 spl0_8 <=> multiply(sk_c5,sk_c6)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f110,plain,(
% 0.22/0.51 multiply(sk_c5,sk_c6)=sk_c7|~spl0_8),
% 0.22/0.51 inference(component_clause,[status(thm)],[f109])).
% 0.22/0.51 fof(f111,plain,(
% 0.22/0.51 ~multiply(sk_c5,sk_c6)=sk_c7|spl0_8),
% 0.22/0.51 inference(component_clause,[status(thm)],[f109])).
% 0.22/0.51 fof(f112,plain,(
% 0.22/0.51 spl0_8|spl0_1),
% 0.22/0.51 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.22/0.51 fof(f113,plain,(
% 0.22/0.51 spl0_8|spl0_2),
% 0.22/0.51 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.22/0.51 fof(f114,plain,(
% 0.22/0.51 spl0_8|spl0_3),
% 0.22/0.51 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.22/0.51 fof(f115,plain,(
% 0.22/0.51 spl0_8|spl0_4),
% 0.22/0.51 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.22/0.51 fof(f116,plain,(
% 0.22/0.51 spl0_8|spl0_5),
% 0.22/0.51 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.22/0.51 fof(f117,plain,(
% 0.22/0.51 spl0_9 <=> multiply(sk_c2,sk_c5)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f118,plain,(
% 0.22/0.51 multiply(sk_c2,sk_c5)=sk_c7|~spl0_9),
% 0.22/0.51 inference(component_clause,[status(thm)],[f117])).
% 0.22/0.51 fof(f121,plain,(
% 0.22/0.51 spl0_9|spl0_2),
% 0.22/0.51 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.22/0.51 fof(f122,plain,(
% 0.22/0.51 spl0_9|spl0_3),
% 0.22/0.51 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.22/0.51 fof(f123,plain,(
% 0.22/0.51 spl0_9|spl0_4),
% 0.22/0.51 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.22/0.51 fof(f124,plain,(
% 0.22/0.51 spl0_9|spl0_5),
% 0.22/0.51 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.22/0.51 fof(f125,plain,(
% 0.22/0.51 spl0_10 <=> inverse(sk_c2)=sk_c5),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f126,plain,(
% 0.22/0.51 inverse(sk_c2)=sk_c5|~spl0_10),
% 0.22/0.51 inference(component_clause,[status(thm)],[f125])).
% 0.22/0.51 fof(f129,plain,(
% 0.22/0.51 spl0_10|spl0_2),
% 0.22/0.51 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.22/0.51 fof(f130,plain,(
% 0.22/0.51 spl0_10|spl0_3),
% 0.22/0.51 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.22/0.51 fof(f131,plain,(
% 0.22/0.51 spl0_10|spl0_4),
% 0.22/0.51 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.22/0.51 fof(f132,plain,(
% 0.22/0.51 spl0_10|spl0_5),
% 0.22/0.51 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.22/0.51 fof(f133,plain,(
% 0.22/0.51 spl0_11 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f134,plain,(
% 0.22/0.51 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_11)),
% 0.22/0.51 inference(component_clause,[status(thm)],[f133])).
% 0.22/0.51 fof(f136,plain,(
% 0.22/0.51 spl0_12 <=> ~multiply(X1,sk_c5)=sk_c7|~inverse(X1)=sk_c5),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f137,plain,(
% 0.22/0.51 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~spl0_12)),
% 0.22/0.51 inference(component_clause,[status(thm)],[f136])).
% 0.22/0.51 fof(f139,plain,(
% 0.22/0.51 spl0_13 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f140,plain,(
% 0.22/0.51 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_13)),
% 0.22/0.51 inference(component_clause,[status(thm)],[f139])).
% 0.22/0.51 fof(f142,plain,(
% 0.22/0.51 spl0_14 <=> ~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f143,plain,(
% 0.22/0.51 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_14)),
% 0.22/0.51 inference(component_clause,[status(thm)],[f142])).
% 0.22/0.51 fof(f145,plain,(
% 0.22/0.51 ~spl0_0|spl0_11|~spl0_8|spl0_12|~spl0_1|spl0_13|spl0_14),
% 0.22/0.51 inference(split_clause,[status(thm)],[f69,f70,f133,f109,f136,f73,f139,f142])).
% 0.22/0.51 fof(f146,plain,(
% 0.22/0.51 ~multiply(sk_c4,sk_c5)=sk_c6|~spl0_14|~spl0_4),
% 0.22/0.51 inference(resolution,[status(thm)],[f143,f86])).
% 0.22/0.51 fof(f147,plain,(
% 0.22/0.51 ~sk_c6=sk_c6|~spl0_5|~spl0_14|~spl0_4),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f90,f146])).
% 0.22/0.51 fof(f148,plain,(
% 0.22/0.51 $false|~spl0_5|~spl0_14|~spl0_4),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f147])).
% 0.22/0.51 fof(f149,plain,(
% 0.22/0.51 ~spl0_5|~spl0_14|~spl0_4),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f148])).
% 0.22/0.51 fof(f151,plain,(
% 0.22/0.51 ~multiply(sk_c3,sk_c6)=sk_c7|~spl0_13|~spl0_2),
% 0.22/0.51 inference(resolution,[status(thm)],[f140,f78])).
% 0.22/0.51 fof(f152,plain,(
% 0.22/0.51 ~sk_c7=sk_c7|~spl0_3|~spl0_13|~spl0_2),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f82,f151])).
% 0.22/0.51 fof(f153,plain,(
% 0.22/0.51 $false|~spl0_3|~spl0_13|~spl0_2),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f152])).
% 0.22/0.51 fof(f154,plain,(
% 0.22/0.51 ~spl0_3|~spl0_13|~spl0_2),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f153])).
% 0.22/0.51 fof(f155,plain,(
% 0.22/0.51 ~multiply(sk_c2,sk_c5)=sk_c7|~spl0_12|~spl0_10),
% 0.22/0.51 inference(resolution,[status(thm)],[f137,f126])).
% 0.22/0.51 fof(f156,plain,(
% 0.22/0.51 ~sk_c7=sk_c7|~spl0_9|~spl0_12|~spl0_10),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f118,f155])).
% 0.22/0.51 fof(f157,plain,(
% 0.22/0.51 $false|~spl0_9|~spl0_12|~spl0_10),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f156])).
% 0.22/0.51 fof(f158,plain,(
% 0.22/0.51 ~spl0_9|~spl0_12|~spl0_10),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f157])).
% 0.22/0.51 fof(f159,plain,(
% 0.22/0.51 ~inverse(sk_c1)=sk_c7|~spl0_11|~spl0_6),
% 0.22/0.51 inference(resolution,[status(thm)],[f134,f94])).
% 0.22/0.51 fof(f160,plain,(
% 0.22/0.51 ~sk_c7=sk_c7|~spl0_7|~spl0_11|~spl0_6),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f102,f159])).
% 0.22/0.51 fof(f161,plain,(
% 0.22/0.51 $false|~spl0_7|~spl0_11|~spl0_6),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f160])).
% 0.22/0.51 fof(f162,plain,(
% 0.22/0.51 ~spl0_7|~spl0_11|~spl0_6),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f161])).
% 0.22/0.51 fof(f163,plain,(
% 0.22/0.51 spl0_15 <=> sk_c6=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f166,plain,(
% 0.22/0.51 spl0_16 <=> multiply(sk_c7,sk_c6)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f168,plain,(
% 0.22/0.51 ~multiply(sk_c7,sk_c6)=sk_c7|spl0_16),
% 0.22/0.51 inference(component_clause,[status(thm)],[f166])).
% 0.22/0.51 fof(f169,plain,(
% 0.22/0.51 ~sk_c6=sk_c7|~multiply(sk_c7,sk_c6)=sk_c7|~spl0_13|~spl0_0),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.22/0.51 fof(f170,plain,(
% 0.22/0.51 ~spl0_15|~spl0_16|~spl0_13|~spl0_0),
% 0.22/0.51 inference(split_clause,[status(thm)],[f169,f163,f166,f139,f70])).
% 0.22/0.51 fof(f171,plain,(
% 0.22/0.51 spl0_17 <=> sk_c7=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f173,plain,(
% 0.22/0.51 ~sk_c7=sk_c7|spl0_17),
% 0.22/0.51 inference(component_clause,[status(thm)],[f171])).
% 0.22/0.51 fof(f179,plain,(
% 0.22/0.51 spl0_19 <=> sk_c5=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f181,plain,(
% 0.22/0.51 ~sk_c5=sk_c7|spl0_19),
% 0.22/0.51 inference(component_clause,[status(thm)],[f179])).
% 0.22/0.51 fof(f189,plain,(
% 0.22/0.51 $false|spl0_17),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f173])).
% 0.22/0.51 fof(f190,plain,(
% 0.22/0.51 spl0_17),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f189])).
% 0.22/0.51 fof(f194,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~spl0_8)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f110,f37])).
% 0.22/0.51 fof(f195,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~spl0_6)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f94,f37])).
% 0.22/0.51 fof(f196,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c5,X0))|~spl0_9)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f118,f37])).
% 0.22/0.51 fof(f197,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~spl0_5)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.22/0.51 fof(f205,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c6)=multiply(sk_c2,sk_c7)|~spl0_9|~spl0_8),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f110,f196])).
% 0.22/0.51 fof(f212,plain,(
% 0.22/0.51 multiply(sk_c6,sk_c6)=multiply(sk_c4,sk_c7)|~spl0_5|~spl0_8),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f110,f197])).
% 0.22/0.51 fof(f227,plain,(
% 0.22/0.51 multiply(sk_c6,sk_c7)=identity|~spl0_0),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.22/0.51 fof(f228,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c1)=identity|~spl0_7),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f102,f36])).
% 0.22/0.51 fof(f229,plain,(
% 0.22/0.51 multiply(sk_c5,sk_c2)=identity|~spl0_10),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.22/0.51 fof(f230,plain,(
% 0.22/0.51 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.22/0.51 fof(f231,plain,(
% 0.22/0.51 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f230])).
% 0.22/0.51 fof(f232,plain,(
% 0.22/0.51 ~identity=sk_c5|~spl0_0|spl0_1),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f227,f75])).
% 0.22/0.51 fof(f234,plain,(
% 0.22/0.51 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_0)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f227,f37])).
% 0.22/0.51 fof(f235,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_0)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f234])).
% 0.22/0.51 fof(f245,plain,(
% 0.22/0.51 sk_c1=multiply(sk_c6,identity)|~spl0_0|~spl0_7),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f228,f235])).
% 0.22/0.51 fof(f250,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c1,X0)=multiply(sk_c6,multiply(identity,X0))|~spl0_0|~spl0_7)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f245,f37])).
% 0.22/0.51 fof(f251,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c1,X0)=multiply(sk_c6,X0)|~spl0_0|~spl0_7)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f250])).
% 0.22/0.51 fof(f252,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_0|~spl0_7|~spl0_6)),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f251,f195])).
% 0.22/0.51 fof(f253,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c6,X0)=X0|~spl0_0|~spl0_7|~spl0_6)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f235,f252])).
% 0.22/0.51 fof(f255,plain,(
% 0.22/0.51 multiply(sk_c6,sk_c7)=sk_c6|~spl0_0|~spl0_7|~spl0_6),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f251,f94])).
% 0.22/0.51 fof(f256,plain,(
% 0.22/0.51 identity=sk_c6|~spl0_0|~spl0_7|~spl0_6),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f227,f255])).
% 0.22/0.51 fof(f260,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_7|~spl0_6|~spl0_0)),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f253,f235])).
% 0.22/0.51 fof(f263,plain,(
% 0.22/0.51 sk_c6=multiply(sk_c4,sk_c7)|~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_8),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f253,f212])).
% 0.22/0.51 fof(f268,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,X0)|~spl0_0|~spl0_7|~spl0_6|~spl0_8)),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f253,f194])).
% 0.22/0.51 fof(f271,plain,(
% 0.22/0.51 sk_c6=multiply(sk_c2,sk_c7)|~spl0_7|~spl0_6|~spl0_0|~spl0_9|~spl0_8),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f260,f205])).
% 0.22/0.51 fof(f275,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_8)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f263,f37])).
% 0.22/0.51 fof(f276,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_8)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f253,f275])).
% 0.22/0.51 fof(f277,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c4,X0)|~spl0_0|~spl0_7|~spl0_6|~spl0_5|~spl0_8)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f260,f276])).
% 0.22/0.51 fof(f281,plain,(
% 0.22/0.51 sk_c5=sk_c6|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_5),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f277,f90])).
% 0.22/0.51 fof(f283,plain,(
% 0.22/0.51 ~sk_c6=sk_c7|~spl0_7|~spl0_6|~spl0_0|spl0_16),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f260,f168])).
% 0.22/0.51 fof(f284,plain,(
% 0.22/0.51 ~spl0_15|~spl0_7|~spl0_6|~spl0_0|spl0_16),
% 0.22/0.51 inference(split_clause,[status(thm)],[f283,f163,f101,f93,f70,f166])).
% 0.22/0.51 fof(f286,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c2,multiply(sk_c7,X0))|~spl0_7|~spl0_6|~spl0_0|~spl0_9|~spl0_8)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f271,f37])).
% 0.22/0.51 fof(f287,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c2,multiply(sk_c7,X0))|~spl0_7|~spl0_6|~spl0_0|~spl0_9|~spl0_8)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f253,f286])).
% 0.22/0.51 fof(f288,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c2,X0)|~spl0_7|~spl0_6|~spl0_0|~spl0_9|~spl0_8)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f260,f287])).
% 0.22/0.51 fof(f290,plain,(
% 0.22/0.51 sk_c5=sk_c7|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_9),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f288,f118])).
% 0.22/0.51 fof(f292,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c5,X0)|~spl0_0|~spl0_7|~spl0_6|~spl0_8)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f260,f268])).
% 0.22/0.51 fof(f294,plain,(
% 0.22/0.51 sk_c6=sk_c7|~spl0_0|~spl0_7|~spl0_6|~spl0_8),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f292,f110])).
% 0.22/0.51 fof(f297,plain,(
% 0.22/0.51 inverse(sk_c7)=identity|~spl0_7|~spl0_6|~spl0_0),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f256,f71])).
% 0.22/0.51 fof(f304,plain,(
% 0.22/0.51 sk_c5=identity|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f256,f281])).
% 0.22/0.51 fof(f305,plain,(
% 0.22/0.51 $false|spl0_1|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_5),
% 0.22/0.51 inference(forward_subsumption_resolution,[status(thm)],[f304,f232])).
% 0.22/0.51 fof(f306,plain,(
% 0.22/0.51 spl0_1|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_5),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f305])).
% 0.22/0.51 fof(f316,plain,(
% 0.22/0.51 spl0_22 <=> sk_c5=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f318,plain,(
% 0.22/0.51 ~sk_c5=sk_c6|spl0_22),
% 0.22/0.51 inference(component_clause,[status(thm)],[f316])).
% 0.22/0.51 fof(f319,plain,(
% 0.22/0.51 spl0_23 <=> multiply(sk_c2,sk_c5)=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f321,plain,(
% 0.22/0.51 ~multiply(sk_c2,sk_c5)=sk_c6|spl0_23),
% 0.22/0.51 inference(component_clause,[status(thm)],[f319])).
% 0.22/0.51 fof(f322,plain,(
% 0.22/0.51 ~sk_c5=sk_c6|~multiply(sk_c2,sk_c5)=sk_c6|~spl0_14|~spl0_10),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f126,f143])).
% 0.22/0.51 fof(f323,plain,(
% 0.22/0.51 ~spl0_22|~spl0_23|~spl0_14|~spl0_10),
% 0.22/0.51 inference(split_clause,[status(thm)],[f322,f316,f319,f142,f125])).
% 0.22/0.51 fof(f324,plain,(
% 0.22/0.51 spl0_24 <=> sk_c6=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f326,plain,(
% 0.22/0.51 ~sk_c6=sk_c6|spl0_24),
% 0.22/0.51 inference(component_clause,[status(thm)],[f324])).
% 0.22/0.51 fof(f329,plain,(
% 0.22/0.51 $false|spl0_24),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f326])).
% 0.22/0.51 fof(f330,plain,(
% 0.22/0.51 spl0_24),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f329])).
% 0.22/0.51 fof(f334,plain,(
% 0.22/0.51 multiply(sk_c6,sk_c4)=identity|~spl0_4),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f86,f36])).
% 0.22/0.51 fof(f335,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c3)=identity|~spl0_2),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.22/0.51 fof(f345,plain,(
% 0.22/0.51 sk_c6=multiply(inverse(sk_c3),sk_c7)|~spl0_3),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f82,f231])).
% 0.22/0.51 fof(f346,plain,(
% 0.22/0.51 sk_c6=multiply(sk_c7,sk_c7)|~spl0_2|~spl0_3),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f78,f345])).
% 0.22/0.51 fof(f347,plain,(
% 0.22/0.51 sk_c5=multiply(inverse(sk_c4),sk_c6)|~spl0_5),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f90,f231])).
% 0.22/0.51 fof(f348,plain,(
% 0.22/0.51 sk_c5=multiply(sk_c6,sk_c6)|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f86,f347])).
% 0.22/0.51 fof(f349,plain,(
% 0.22/0.51 sk_c5=multiply(inverse(sk_c2),sk_c7)|~spl0_9),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f118,f231])).
% 0.22/0.51 fof(f352,plain,(
% 0.22/0.51 sk_c7=multiply(inverse(sk_c6),sk_c5)|~spl0_1),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f74,f231])).
% 0.22/0.51 fof(f355,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f35,f231])).
% 0.22/0.51 fof(f359,plain,(
% 0.22/0.51 sk_c7=multiply(inverse(sk_c7),sk_c6)|~spl0_2|~spl0_3),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f346,f231])).
% 0.22/0.51 fof(f361,plain,(
% 0.22/0.51 sk_c6=multiply(inverse(sk_c6),sk_c5)|~spl0_4|~spl0_5),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f348,f231])).
% 0.22/0.51 fof(f374,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c7),multiply(sk_c6,X0))|~spl0_2|~spl0_3)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f359,f37])).
% 0.22/0.51 fof(f375,plain,(
% 0.22/0.51 sk_c6=sk_c7|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f352,f361])).
% 0.22/0.51 fof(f378,plain,(
% 0.22/0.51 sk_c7=multiply(inverse(sk_c7),sk_c5)|~spl0_4|~spl0_5|~spl0_1),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f375,f352])).
% 0.22/0.51 fof(f380,plain,(
% 0.22/0.51 sk_c5=multiply(sk_c6,sk_c7)|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f375,f348])).
% 0.22/0.51 fof(f381,plain,(
% 0.22/0.51 sk_c5=multiply(sk_c7,sk_c7)|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f375,f380])).
% 0.22/0.51 fof(f382,plain,(
% 0.22/0.51 sk_c7=multiply(sk_c7,sk_c7)|~spl0_1|~spl0_4|~spl0_5|~spl0_2|~spl0_3),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f375,f346])).
% 0.22/0.51 fof(f385,plain,(
% 0.22/0.51 multiply(sk_c4,sk_c5)=sk_c7|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f375,f90])).
% 0.22/0.51 fof(f386,plain,(
% 0.22/0.51 ~inverse(sk_c7)=sk_c7|~spl0_1|~spl0_4|~spl0_5|spl0_0),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f375,f72])).
% 0.22/0.51 fof(f387,plain,(
% 0.22/0.51 inverse(sk_c4)=sk_c7|~spl0_1|~spl0_5|~spl0_4),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f375,f86])).
% 0.22/0.51 fof(f392,plain,(
% 0.22/0.51 sk_c7=multiply(inverse(sk_c7),sk_c5)|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f381,f231])).
% 0.22/0.51 fof(f394,plain,(
% 0.22/0.51 sk_c7=sk_c5|~spl0_1|~spl0_4|~spl0_5|~spl0_2|~spl0_3),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f381,f382])).
% 0.22/0.51 fof(f416,plain,(
% 0.22/0.51 sk_c7=multiply(inverse(sk_c7),sk_c7)|~spl0_2|~spl0_3|~spl0_4|~spl0_5|~spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f394,f378])).
% 0.22/0.51 fof(f417,plain,(
% 0.22/0.51 sk_c7=identity|~spl0_2|~spl0_3|~spl0_4|~spl0_5|~spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f36,f416])).
% 0.22/0.51 fof(f431,plain,(
% 0.22/0.51 inverse(sk_c4)=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f417,f387])).
% 0.22/0.51 fof(f432,plain,(
% 0.22/0.51 ~inverse(sk_c7)=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5|spl0_0),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f417,f386])).
% 0.22/0.51 fof(f433,plain,(
% 0.22/0.51 ~inverse(identity)=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5|spl0_0),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f417,f432])).
% 0.22/0.51 fof(f437,plain,(
% 0.22/0.51 inverse(sk_c3)=identity|~spl0_3|~spl0_4|~spl0_5|~spl0_1|~spl0_2),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f417,f78])).
% 0.22/0.51 fof(f443,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(identity,multiply(sk_c3,X0))|~spl0_3|~spl0_4|~spl0_5|~spl0_1|~spl0_2)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f437,f231])).
% 0.22/0.51 fof(f444,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c3,X0)|~spl0_3|~spl0_4|~spl0_5|~spl0_1|~spl0_2)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f443])).
% 0.22/0.51 fof(f467,plain,(
% 0.22/0.51 identity=multiply(inverse(sk_c7),sk_c5)|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f417,f392])).
% 0.22/0.51 fof(f468,plain,(
% 0.22/0.51 identity=multiply(inverse(identity),sk_c5)|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f417,f467])).
% 0.22/0.51 fof(f469,plain,(
% 0.22/0.51 identity=sk_c5|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f355,f468])).
% 0.22/0.51 fof(f509,plain,(
% 0.22/0.51 ![X0]: (multiply(identity,X0)=multiply(inverse(sk_c7),multiply(sk_c6,X0))|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f417,f374])).
% 0.22/0.51 fof(f510,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(inverse(sk_c7),multiply(sk_c6,X0))|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f509])).
% 0.22/0.51 fof(f511,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(inverse(identity),multiply(sk_c6,X0))|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f417,f510])).
% 0.22/0.51 fof(f512,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c6,X0)|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f355,f511])).
% 0.22/0.51 fof(f514,plain,(
% 0.22/0.51 ~identity=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5|spl0_19),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f469,f181])).
% 0.22/0.51 fof(f515,plain,(
% 0.22/0.51 ~identity=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5|spl0_19),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f417,f514])).
% 0.22/0.51 fof(f516,plain,(
% 0.22/0.51 $false|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5|spl0_19),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f515])).
% 0.22/0.51 fof(f517,plain,(
% 0.22/0.51 ~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5|spl0_19),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f516])).
% 0.22/0.51 fof(f557,plain,(
% 0.22/0.51 spl0_19|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_9),
% 0.22/0.51 inference(split_clause,[status(thm)],[f290,f179,f101,f93,f70,f109,f117])).
% 0.22/0.51 fof(f558,plain,(
% 0.22/0.51 spl0_15|~spl0_0|~spl0_7|~spl0_6|~spl0_8),
% 0.22/0.51 inference(split_clause,[status(thm)],[f294,f163,f70,f101,f93,f109])).
% 0.22/0.51 fof(f574,plain,(
% 0.22/0.51 identity=sk_c6|~spl0_7|~spl0_6|~spl0_0),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f297,f71])).
% 0.22/0.51 fof(f596,plain,(
% 0.22/0.51 multiply(identity,sk_c7)=identity|~spl0_7|~spl0_6|~spl0_0),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f574,f227])).
% 0.22/0.51 fof(f597,plain,(
% 0.22/0.51 sk_c7=identity|~spl0_7|~spl0_6|~spl0_0),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f596])).
% 0.22/0.51 fof(f610,plain,(
% 0.22/0.51 multiply(sk_c5,identity)=sk_c7|~spl0_7|~spl0_6|~spl0_0|~spl0_8),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f574,f110])).
% 0.22/0.51 fof(f611,plain,(
% 0.22/0.51 multiply(sk_c5,identity)=identity|~spl0_7|~spl0_6|~spl0_0|~spl0_8),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f597,f610])).
% 0.22/0.51 fof(f613,plain,(
% 0.22/0.51 ![X0]: (multiply(identity,X0)=multiply(sk_c5,multiply(identity,X0))|~spl0_7|~spl0_6|~spl0_0|~spl0_8)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f611,f37])).
% 0.22/0.51 fof(f614,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c5,multiply(identity,X0))|~spl0_7|~spl0_6|~spl0_0|~spl0_8)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f613])).
% 0.22/0.51 fof(f615,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c5,X0)|~spl0_7|~spl0_6|~spl0_0|~spl0_8)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f614])).
% 0.22/0.51 fof(f618,plain,(
% 0.22/0.51 sk_c2=identity|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f615,f229])).
% 0.22/0.51 fof(f627,plain,(
% 0.22/0.51 sk_c5=multiply(inverse(identity),sk_c7)|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|~spl0_9),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f618,f349])).
% 0.22/0.51 fof(f628,plain,(
% 0.22/0.51 sk_c5=multiply(inverse(identity),identity)|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|~spl0_9),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f597,f627])).
% 0.22/0.51 fof(f629,plain,(
% 0.22/0.51 sk_c5=identity|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|~spl0_9),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f36,f628])).
% 0.22/0.51 fof(f647,plain,(
% 0.22/0.51 ~identity=sk_c6|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|~spl0_9|spl0_22),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f629,f318])).
% 0.22/0.51 fof(f648,plain,(
% 0.22/0.51 ~identity=identity|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|~spl0_9|spl0_22),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f574,f647])).
% 0.22/0.51 fof(f649,plain,(
% 0.22/0.51 $false|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|~spl0_9|spl0_22),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f648])).
% 0.22/0.51 fof(f650,plain,(
% 0.22/0.51 ~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|~spl0_9|spl0_22),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f649])).
% 0.22/0.51 fof(f651,plain,(
% 0.22/0.51 ~multiply(identity,sk_c5)=sk_c6|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|spl0_23),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f618,f321])).
% 0.22/0.51 fof(f652,plain,(
% 0.22/0.51 ~sk_c5=sk_c6|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|spl0_23),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f651])).
% 0.22/0.51 fof(f653,plain,(
% 0.22/0.51 ~identity=sk_c6|~spl0_9|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|spl0_23),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f629,f652])).
% 0.22/0.51 fof(f654,plain,(
% 0.22/0.51 ~identity=identity|~spl0_9|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|spl0_23),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f574,f653])).
% 0.22/0.51 fof(f655,plain,(
% 0.22/0.51 $false|~spl0_9|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|spl0_23),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f654])).
% 0.22/0.51 fof(f656,plain,(
% 0.22/0.51 ~spl0_9|~spl0_7|~spl0_6|~spl0_0|~spl0_8|~spl0_10|spl0_23),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f655])).
% 0.22/0.51 fof(f658,plain,(
% 0.22/0.51 ~identity=identity|~spl0_7|~spl0_6|~spl0_8|~spl0_10|~spl0_9|~spl0_0|spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f629,f232])).
% 0.22/0.51 fof(f659,plain,(
% 0.22/0.51 $false|~spl0_7|~spl0_6|~spl0_8|~spl0_10|~spl0_9|~spl0_0|spl0_1),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f658])).
% 0.22/0.51 fof(f660,plain,(
% 0.22/0.51 ~spl0_7|~spl0_6|~spl0_8|~spl0_10|~spl0_9|~spl0_0|spl0_1),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f659])).
% 0.22/0.51 fof(f802,plain,(
% 0.22/0.51 spl0_25 <=> multiply(sk_c3,sk_c5)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f804,plain,(
% 0.22/0.51 ~multiply(sk_c3,sk_c5)=sk_c7|spl0_25),
% 0.22/0.51 inference(component_clause,[status(thm)],[f802])).
% 0.22/0.51 fof(f805,plain,(
% 0.22/0.51 ~multiply(sk_c3,sk_c5)=sk_c7|~sk_c7=sk_c5|~spl0_12|~spl0_2),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f78,f137])).
% 0.22/0.51 fof(f806,plain,(
% 0.22/0.51 ~spl0_25|~spl0_19|~spl0_12|~spl0_2),
% 0.22/0.51 inference(split_clause,[status(thm)],[f805,f802,f179,f136,f77])).
% 0.22/0.51 fof(f882,plain,(
% 0.22/0.51 identity=sk_c6|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f431,f86])).
% 0.22/0.51 fof(f905,plain,(
% 0.22/0.51 sk_c4=identity|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_4),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f512,f334])).
% 0.22/0.51 fof(f907,plain,(
% 0.22/0.51 inverse(identity)=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f905,f431])).
% 0.22/0.51 fof(f908,plain,(
% 0.22/0.51 sk_c6=sk_c7|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f444,f82])).
% 0.22/0.51 fof(f916,plain,(
% 0.22/0.51 ~multiply(sk_c5,sk_c7)=sk_c7|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|spl0_8),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f908,f111])).
% 0.22/0.51 fof(f917,plain,(
% 0.22/0.51 identity=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f908,f882])).
% 0.22/0.51 fof(f918,plain,(
% 0.22/0.51 ~multiply(sk_c5,sk_c7)=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|spl0_8),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f917,f916])).
% 0.22/0.51 fof(f919,plain,(
% 0.22/0.51 ~multiply(sk_c5,identity)=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|spl0_8),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f917,f918])).
% 0.22/0.51 fof(f925,plain,(
% 0.22/0.51 multiply(identity,sk_c3)=identity|~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_2),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f917,f335])).
% 0.22/0.51 fof(f926,plain,(
% 0.22/0.51 sk_c3=identity|~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_2),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f925])).
% 0.22/0.51 fof(f933,plain,(
% 0.22/0.51 multiply(identity,sk_c5)=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f905,f90])).
% 0.22/0.51 fof(f934,plain,(
% 0.22/0.51 sk_c5=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f933])).
% 0.22/0.51 fof(f940,plain,(
% 0.22/0.51 sk_c6=multiply(sk_c7,sk_c7)|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f934,f381])).
% 0.22/0.51 fof(f941,plain,(
% 0.22/0.51 sk_c6=multiply(identity,sk_c7)|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f917,f940])).
% 0.22/0.51 fof(f942,plain,(
% 0.22/0.51 sk_c6=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f941])).
% 0.22/0.51 fof(f943,plain,(
% 0.22/0.51 sk_c6=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f917,f942])).
% 0.22/0.51 fof(f948,plain,(
% 0.22/0.51 multiply(identity,sk_c5)=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f905,f385])).
% 0.22/0.51 fof(f949,plain,(
% 0.22/0.51 sk_c5=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f948])).
% 0.22/0.51 fof(f950,plain,(
% 0.22/0.51 sk_c5=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f917,f949])).
% 0.22/0.51 fof(f994,plain,(
% 0.22/0.51 ~multiply(identity,identity)=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|spl0_8),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f950,f919])).
% 0.22/0.51 fof(f995,plain,(
% 0.22/0.51 ~identity=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|spl0_8),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f994])).
% 0.22/0.51 fof(f996,plain,(
% 0.22/0.51 $false|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|spl0_8),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f995])).
% 0.22/0.51 fof(f997,plain,(
% 0.22/0.51 ~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|spl0_8),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f996])).
% 0.22/0.51 fof(f998,plain,(
% 0.22/0.51 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_11)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f917,f134])).
% 0.22/0.51 fof(f999,plain,(
% 0.22/0.51 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_11)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f943,f998])).
% 0.22/0.51 fof(f1000,plain,(
% 0.22/0.51 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_11)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f917,f999])).
% 0.22/0.51 fof(f1120,plain,(
% 0.22/0.51 ~multiply(identity,identity)=identity|~spl0_11|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.22/0.51 inference(resolution,[status(thm)],[f1000,f907])).
% 0.22/0.51 fof(f1121,plain,(
% 0.22/0.51 ~identity=identity|~spl0_11|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f35,f1120])).
% 0.22/0.51 fof(f1122,plain,(
% 0.22/0.51 $false|~spl0_11|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f1121])).
% 0.22/0.51 fof(f1123,plain,(
% 0.22/0.51 ~spl0_11|~spl0_2|~spl0_3|~spl0_1|~spl0_5|~spl0_4),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f1122])).
% 0.22/0.51 fof(f1124,plain,(
% 0.22/0.51 ~identity=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5|spl0_0),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f907,f433])).
% 0.22/0.51 fof(f1125,plain,(
% 0.22/0.51 $false|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5|spl0_0),
% 0.22/0.52 inference(trivial_equality_resolution,[status(esa)],[f1124])).
% 0.22/0.52 fof(f1126,plain,(
% 0.22/0.52 ~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_5|spl0_0),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f1125])).
% 0.22/0.52 fof(f1152,plain,(
% 0.22/0.52 ~multiply(identity,sk_c5)=sk_c7|~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_2|spl0_25),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f926,f804])).
% 0.22/0.52 fof(f1153,plain,(
% 0.22/0.52 ~sk_c5=sk_c7|~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_2|spl0_25),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f35,f1152])).
% 0.22/0.52 fof(f1154,plain,(
% 0.22/0.52 ~identity=sk_c7|~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_2|spl0_25),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f950,f1153])).
% 0.22/0.52 fof(f1155,plain,(
% 0.22/0.52 ~identity=identity|~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_2|spl0_25),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f917,f1154])).
% 0.22/0.52 fof(f1156,plain,(
% 0.22/0.52 $false|~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_2|spl0_25),
% 0.22/0.52 inference(trivial_equality_resolution,[status(esa)],[f1155])).
% 0.22/0.52 fof(f1157,plain,(
% 0.22/0.52 ~spl0_3|~spl0_1|~spl0_5|~spl0_4|~spl0_2|spl0_25),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f1156])).
% 0.22/0.52 fof(f1158,plain,(
% 0.22/0.52 $false),
% 0.22/0.52 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f121,f122,f123,f124,f129,f130,f131,f132,f145,f149,f154,f158,f162,f170,f190,f284,f306,f323,f330,f517,f557,f558,f650,f656,f660,f806,f997,f1123,f1126,f1157])).
% 0.22/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.52 % Elapsed time: 0.161197 seconds
% 0.22/0.52 % CPU time: 1.042011 seconds
% 0.22/0.52 % Total memory used: 79.034 MB
% 0.22/0.52 % Net memory used: 78.128 MB
%------------------------------------------------------------------------------