TSTP Solution File: GRP335-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP335-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:11:22 EDT 2023
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP335-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:51:38 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f1,axiom,(
% 0.15/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f2,axiom,(
% 0.15/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f3,axiom,(
% 0.15/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f4,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f5,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f6,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f7,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f8,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f9,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f10,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f11,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f12,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f13,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f14,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f15,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f16,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f17,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f18,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f19,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f20,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f21,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f22,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f23,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f24,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f25,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f26,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f27,negated_conjecture,(
% 0.16/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f28,negated_conjecture,(
% 0.16/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f29,negated_conjecture,(
% 0.16/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f30,negated_conjecture,(
% 0.16/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f31,negated_conjecture,(
% 0.16/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f32,negated_conjecture,(
% 0.16/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f33,negated_conjecture,(
% 0.16/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f34,negated_conjecture,(
% 0.16/0.40 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c8) != sk_c6| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c7) != sk_c8| inverse(X4) != sk_c7| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.16/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.40 fof(f35,plain,(
% 0.16/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.40 fof(f36,plain,(
% 0.16/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.40 fof(f37,plain,(
% 0.16/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.40 fof(f38,plain,(
% 0.16/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f4])).
% 0.16/0.40 fof(f39,plain,(
% 0.16/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f5])).
% 0.16/0.40 fof(f40,plain,(
% 0.16/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f6])).
% 0.16/0.40 fof(f41,plain,(
% 0.16/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f7])).
% 0.16/0.40 fof(f42,plain,(
% 0.16/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f8])).
% 0.16/0.40 fof(f43,plain,(
% 0.16/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.40 fof(f44,plain,(
% 0.16/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f10])).
% 0.16/0.40 fof(f45,plain,(
% 0.16/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.40 fof(f46,plain,(
% 0.16/0.40 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.40 fof(f47,plain,(
% 0.16/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f13])).
% 0.16/0.40 fof(f48,plain,(
% 0.16/0.40 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.40 fof(f49,plain,(
% 0.16/0.40 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f15])).
% 0.16/0.40 fof(f50,plain,(
% 0.16/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f16])).
% 0.16/0.40 fof(f51,plain,(
% 0.16/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.40 fof(f52,plain,(
% 0.16/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f18])).
% 0.16/0.40 fof(f53,plain,(
% 0.16/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.40 fof(f54,plain,(
% 0.16/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.40 fof(f55,plain,(
% 0.16/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f21])).
% 0.16/0.40 fof(f56,plain,(
% 0.16/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f22])).
% 0.16/0.40 fof(f57,plain,(
% 0.16/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.40 fof(f58,plain,(
% 0.16/0.40 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f24])).
% 0.16/0.40 fof(f59,plain,(
% 0.16/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f25])).
% 0.16/0.40 fof(f60,plain,(
% 0.16/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f26])).
% 0.16/0.40 fof(f61,plain,(
% 0.16/0.40 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f27])).
% 0.16/0.40 fof(f62,plain,(
% 0.16/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f28])).
% 0.16/0.40 fof(f63,plain,(
% 0.16/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f29])).
% 0.16/0.40 fof(f64,plain,(
% 0.16/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f30])).
% 0.16/0.40 fof(f65,plain,(
% 0.16/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f31])).
% 0.16/0.40 fof(f66,plain,(
% 0.16/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f32])).
% 0.16/0.40 fof(f67,plain,(
% 0.16/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f33])).
% 0.16/0.40 fof(f68,plain,(
% 0.16/0.40 ![X5]: ((![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c7)=sk_c8)|~inverse(X4)=sk_c7))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.16/0.40 inference(miniscoping,[status(esa)],[f34])).
% 0.16/0.40 fof(f69,plain,(
% 0.16/0.40 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c7)=sk_c8|~inverse(X1)=sk_c7|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.16/0.40 inference(cnf_transformation,[status(esa)],[f68])).
% 0.16/0.40 fof(f70,plain,(
% 0.16/0.40 spl0_0 <=> multiply(sk_c7,sk_c8)=sk_c6),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f71,plain,(
% 0.16/0.40 multiply(sk_c7,sk_c8)=sk_c6|~spl0_0),
% 0.16/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.16/0.40 fof(f72,plain,(
% 0.16/0.40 ~multiply(sk_c7,sk_c8)=sk_c6|spl0_0),
% 0.16/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.16/0.40 fof(f73,plain,(
% 0.16/0.40 spl0_1 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f74,plain,(
% 0.16/0.40 multiply(sk_c8,sk_c7)=sk_c6|~spl0_1),
% 0.16/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.16/0.40 fof(f75,plain,(
% 0.16/0.40 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_1),
% 0.16/0.40 inference(component_clause,[status(thm)],[f73])).
% 0.16/0.40 fof(f76,plain,(
% 0.16/0.40 spl0_0|spl0_1),
% 0.16/0.40 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.16/0.40 fof(f77,plain,(
% 0.16/0.40 spl0_2 <=> multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f78,plain,(
% 0.16/0.40 multiply(sk_c3,sk_c8)=sk_c7|~spl0_2),
% 0.16/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.16/0.40 fof(f80,plain,(
% 0.16/0.40 spl0_0|spl0_2),
% 0.16/0.40 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.16/0.40 fof(f81,plain,(
% 0.16/0.40 spl0_3 <=> inverse(sk_c3)=sk_c8),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f82,plain,(
% 0.16/0.40 inverse(sk_c3)=sk_c8|~spl0_3),
% 0.16/0.40 inference(component_clause,[status(thm)],[f81])).
% 0.16/0.40 fof(f84,plain,(
% 0.16/0.40 spl0_0|spl0_3),
% 0.16/0.40 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.16/0.40 fof(f85,plain,(
% 0.16/0.40 spl0_4 <=> multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f86,plain,(
% 0.16/0.40 multiply(sk_c8,sk_c5)=sk_c7|~spl0_4),
% 0.16/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.16/0.40 fof(f88,plain,(
% 0.16/0.40 spl0_0|spl0_4),
% 0.16/0.40 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.16/0.40 fof(f89,plain,(
% 0.16/0.40 spl0_5 <=> multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f90,plain,(
% 0.16/0.40 multiply(sk_c4,sk_c8)=sk_c5|~spl0_5),
% 0.16/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.16/0.40 fof(f92,plain,(
% 0.16/0.40 spl0_0|spl0_5),
% 0.16/0.40 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.16/0.40 fof(f93,plain,(
% 0.16/0.40 spl0_6 <=> inverse(sk_c4)=sk_c8),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f94,plain,(
% 0.16/0.40 inverse(sk_c4)=sk_c8|~spl0_6),
% 0.16/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.16/0.40 fof(f96,plain,(
% 0.16/0.40 spl0_0|spl0_6),
% 0.16/0.40 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.16/0.40 fof(f97,plain,(
% 0.16/0.40 spl0_7 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f98,plain,(
% 0.16/0.40 multiply(sk_c1,sk_c7)=sk_c6|~spl0_7),
% 0.16/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.16/0.40 fof(f100,plain,(
% 0.16/0.40 spl0_7|spl0_1),
% 0.16/0.40 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.16/0.40 fof(f101,plain,(
% 0.16/0.40 spl0_7|spl0_2),
% 0.16/0.40 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.16/0.40 fof(f102,plain,(
% 0.16/0.40 spl0_7|spl0_3),
% 0.16/0.40 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.16/0.40 fof(f103,plain,(
% 0.16/0.40 spl0_7|spl0_4),
% 0.16/0.40 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.16/0.40 fof(f104,plain,(
% 0.16/0.40 spl0_7|spl0_5),
% 0.16/0.40 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.16/0.40 fof(f105,plain,(
% 0.16/0.40 spl0_7|spl0_6),
% 0.16/0.40 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.16/0.40 fof(f106,plain,(
% 0.16/0.40 spl0_8 <=> inverse(sk_c1)=sk_c7),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f107,plain,(
% 0.16/0.40 inverse(sk_c1)=sk_c7|~spl0_8),
% 0.16/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.16/0.40 fof(f109,plain,(
% 0.16/0.40 spl0_8|spl0_1),
% 0.16/0.40 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.16/0.40 fof(f110,plain,(
% 0.16/0.40 spl0_8|spl0_2),
% 0.16/0.40 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.16/0.40 fof(f111,plain,(
% 0.16/0.40 spl0_8|spl0_3),
% 0.16/0.40 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.16/0.40 fof(f112,plain,(
% 0.16/0.40 spl0_8|spl0_4),
% 0.16/0.40 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.16/0.40 fof(f113,plain,(
% 0.16/0.40 spl0_8|spl0_5),
% 0.16/0.40 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.16/0.40 fof(f114,plain,(
% 0.16/0.40 spl0_8|spl0_6),
% 0.16/0.40 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.16/0.40 fof(f115,plain,(
% 0.16/0.40 spl0_9 <=> multiply(sk_c2,sk_c7)=sk_c8),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f116,plain,(
% 0.16/0.40 multiply(sk_c2,sk_c7)=sk_c8|~spl0_9),
% 0.16/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.16/0.40 fof(f118,plain,(
% 0.16/0.40 spl0_9|spl0_1),
% 0.16/0.40 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.16/0.40 fof(f119,plain,(
% 0.16/0.40 spl0_9|spl0_2),
% 0.16/0.40 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.16/0.40 fof(f120,plain,(
% 0.16/0.40 spl0_9|spl0_3),
% 0.16/0.40 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.16/0.40 fof(f121,plain,(
% 0.16/0.40 spl0_9|spl0_4),
% 0.16/0.40 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.16/0.40 fof(f122,plain,(
% 0.16/0.40 spl0_9|spl0_5),
% 0.16/0.40 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.16/0.40 fof(f123,plain,(
% 0.16/0.40 spl0_9|spl0_6),
% 0.16/0.40 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.16/0.40 fof(f124,plain,(
% 0.16/0.40 spl0_10 <=> inverse(sk_c2)=sk_c7),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f125,plain,(
% 0.16/0.40 inverse(sk_c2)=sk_c7|~spl0_10),
% 0.16/0.40 inference(component_clause,[status(thm)],[f124])).
% 0.16/0.40 fof(f127,plain,(
% 0.16/0.40 spl0_10|spl0_1),
% 0.16/0.40 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.16/0.40 fof(f128,plain,(
% 0.16/0.40 spl0_10|spl0_2),
% 0.16/0.40 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.16/0.40 fof(f129,plain,(
% 0.16/0.40 spl0_10|spl0_3),
% 0.16/0.40 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.16/0.40 fof(f130,plain,(
% 0.16/0.40 spl0_10|spl0_4),
% 0.16/0.40 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.16/0.40 fof(f131,plain,(
% 0.16/0.40 spl0_10|spl0_5),
% 0.16/0.40 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.16/0.40 fof(f132,plain,(
% 0.16/0.40 spl0_10|spl0_6),
% 0.16/0.40 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.16/0.40 fof(f133,plain,(
% 0.16/0.40 spl0_11 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f134,plain,(
% 0.16/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_11)),
% 0.16/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.16/0.40 fof(f136,plain,(
% 0.16/0.40 spl0_12 <=> ~multiply(X1,sk_c7)=sk_c8|~inverse(X1)=sk_c7),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f137,plain,(
% 0.16/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_12)),
% 0.16/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.16/0.40 fof(f139,plain,(
% 0.16/0.40 spl0_13 <=> ~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f140,plain,(
% 0.16/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.16/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.16/0.40 fof(f142,plain,(
% 0.16/0.40 spl0_14 <=> ~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f143,plain,(
% 0.16/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_14)),
% 0.16/0.40 inference(component_clause,[status(thm)],[f142])).
% 0.16/0.40 fof(f145,plain,(
% 0.16/0.40 ~spl0_0|spl0_11|spl0_12|~spl0_1|spl0_13|spl0_14),
% 0.16/0.40 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.16/0.40 fof(f146,plain,(
% 0.16/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_14)),
% 0.16/0.40 inference(destructive_equality_resolution,[status(esa)],[f143])).
% 0.16/0.40 fof(f151,plain,(
% 0.16/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.16/0.40 fof(f152,plain,(
% 0.16/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f35,f151])).
% 0.16/0.40 fof(f153,plain,(
% 0.16/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f152,f152])).
% 0.16/0.40 fof(f154,plain,(
% 0.16/0.40 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f36,f152])).
% 0.16/0.40 fof(f156,plain,(
% 0.16/0.40 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f37,f152])).
% 0.16/0.40 fof(f163,plain,(
% 0.16/0.40 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f152,f153])).
% 0.16/0.40 fof(f164,plain,(
% 0.16/0.40 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f36,f153])).
% 0.16/0.40 fof(f173,plain,(
% 0.16/0.40 inverse(identity)=identity),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f35,f164])).
% 0.16/0.40 fof(f192,plain,(
% 0.16/0.40 ![X0]: (X0=multiply(X0,identity))),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f153,f154])).
% 0.16/0.40 fof(f193,plain,(
% 0.16/0.40 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f153,f192])).
% 0.16/0.40 fof(f194,plain,(
% 0.16/0.40 ![X0]: (inverse(inverse(X0))=X0)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f192,f193])).
% 0.16/0.40 fof(f220,plain,(
% 0.16/0.40 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X0))))),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f37,f156])).
% 0.16/0.40 fof(f221,plain,(
% 0.16/0.40 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(X3,X0)))))),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f37,f220])).
% 0.16/0.40 fof(f270,plain,(
% 0.16/0.40 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(inverse(multiply(X2,X0)),multiply(X2,X1)))),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f163,f156])).
% 0.16/0.40 fof(f619,plain,(
% 0.16/0.40 inverse(sk_c7)=sk_c2|~spl0_10),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f125,f194])).
% 0.16/0.40 fof(f624,plain,(
% 0.16/0.40 inverse(sk_c7)=sk_c1|~spl0_8),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f107,f194])).
% 0.16/0.40 fof(f629,plain,(
% 0.16/0.40 inverse(sk_c8)=sk_c4|~spl0_6),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f94,f194])).
% 0.16/0.40 fof(f630,plain,(
% 0.16/0.40 multiply(sk_c4,sk_c8)=identity|~spl0_6),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f94,f164])).
% 0.16/0.40 fof(f634,plain,(
% 0.16/0.40 inverse(sk_c8)=sk_c3|~spl0_3),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f82,f194])).
% 0.16/0.40 fof(f651,plain,(
% 0.16/0.40 sk_c7=multiply(inverse(sk_c2),sk_c8)|~spl0_9),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f116,f152])).
% 0.16/0.40 fof(f652,plain,(
% 0.16/0.40 sk_c7=multiply(sk_c7,sk_c8)|~spl0_10|~spl0_9),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f125,f651])).
% 0.16/0.40 fof(f654,plain,(
% 0.16/0.40 sk_c2=sk_c1|~spl0_10|~spl0_8),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f619,f624])).
% 0.16/0.40 fof(f655,plain,(
% 0.16/0.40 multiply(sk_c1,sk_c7)=sk_c8|~spl0_10|~spl0_8|~spl0_9),
% 0.16/0.40 inference(backward_demodulation,[status(thm)],[f654,f116])).
% 0.16/0.40 fof(f663,plain,(
% 0.16/0.40 sk_c4=sk_c3|~spl0_6|~spl0_3),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f629,f634])).
% 0.16/0.40 fof(f687,plain,(
% 0.16/0.40 multiply(sk_c3,sk_c8)=sk_c5|~spl0_6|~spl0_3|~spl0_5),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f663,f90])).
% 0.16/0.40 fof(f712,plain,(
% 0.16/0.40 sk_c5=sk_c7|~spl0_6|~spl0_3|~spl0_5|~spl0_2),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f687,f78])).
% 0.16/0.40 fof(f713,plain,(
% 0.16/0.40 multiply(sk_c8,sk_c7)=sk_c7|~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4),
% 0.16/0.40 inference(backward_demodulation,[status(thm)],[f712,f86])).
% 0.16/0.40 fof(f714,plain,(
% 0.16/0.40 multiply(sk_c3,sk_c8)=sk_c7|~spl0_2|~spl0_6|~spl0_3|~spl0_5),
% 0.16/0.40 inference(backward_demodulation,[status(thm)],[f712,f687])).
% 0.16/0.40 fof(f726,plain,(
% 0.16/0.40 spl0_15 <=> sk_c8=sk_c7),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f727,plain,(
% 0.16/0.40 sk_c8=sk_c7|~spl0_15),
% 0.16/0.40 inference(component_clause,[status(thm)],[f726])).
% 0.16/0.40 fof(f728,plain,(
% 0.16/0.40 ~sk_c8=sk_c7|spl0_15),
% 0.16/0.40 inference(component_clause,[status(thm)],[f726])).
% 0.16/0.40 fof(f729,plain,(
% 0.16/0.40 spl0_16 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f731,plain,(
% 0.16/0.40 ~inverse(inverse(sk_c8))=sk_c8|spl0_16),
% 0.16/0.40 inference(component_clause,[status(thm)],[f729])).
% 0.16/0.40 fof(f732,plain,(
% 0.16/0.40 ~sk_c8=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_14),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f163,f146])).
% 0.16/0.40 fof(f733,plain,(
% 0.16/0.40 ~spl0_15|~spl0_16|~spl0_14),
% 0.16/0.40 inference(split_clause,[status(thm)],[f732,f726,f729,f142])).
% 0.16/0.40 fof(f744,plain,(
% 0.16/0.40 spl0_19 <=> multiply(sk_c8,identity)=sk_c7),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f746,plain,(
% 0.16/0.40 ~multiply(sk_c8,identity)=sk_c7|spl0_19),
% 0.16/0.40 inference(component_clause,[status(thm)],[f744])).
% 0.16/0.40 fof(f747,plain,(
% 0.16/0.40 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_14),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f36,f146])).
% 0.16/0.40 fof(f748,plain,(
% 0.16/0.40 ~spl0_19|~spl0_16|~spl0_14),
% 0.16/0.40 inference(split_clause,[status(thm)],[f747,f744,f729,f142])).
% 0.16/0.40 fof(f749,plain,(
% 0.16/0.40 spl0_20 <=> multiply(sk_c8,sk_c8)=sk_c7),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f751,plain,(
% 0.16/0.40 ~multiply(sk_c8,sk_c8)=sk_c7|spl0_20),
% 0.16/0.40 inference(component_clause,[status(thm)],[f749])).
% 0.16/0.40 fof(f752,plain,(
% 0.16/0.40 spl0_21 <=> inverse(identity)=sk_c8),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f754,plain,(
% 0.16/0.40 ~inverse(identity)=sk_c8|spl0_21),
% 0.16/0.40 inference(component_clause,[status(thm)],[f752])).
% 0.16/0.40 fof(f755,plain,(
% 0.16/0.40 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~spl0_14),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f35,f146])).
% 0.16/0.40 fof(f756,plain,(
% 0.16/0.40 ~spl0_20|~spl0_21|~spl0_14),
% 0.16/0.40 inference(split_clause,[status(thm)],[f755,f749,f752,f142])).
% 0.16/0.40 fof(f758,plain,(
% 0.16/0.40 ~identity=sk_c8|spl0_21),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f173,f754])).
% 0.16/0.40 fof(f759,plain,(
% 0.16/0.40 ~sk_c8=sk_c7|spl0_19),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f192,f746])).
% 0.16/0.40 fof(f761,plain,(
% 0.16/0.40 ~sk_c8=sk_c8|spl0_16),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f194,f731])).
% 0.16/0.40 fof(f762,plain,(
% 0.16/0.40 $false|spl0_16),
% 0.16/0.40 inference(trivial_equality_resolution,[status(esa)],[f761])).
% 0.16/0.40 fof(f763,plain,(
% 0.16/0.40 spl0_16),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f762])).
% 0.16/0.40 fof(f764,plain,(
% 0.16/0.40 sk_c6=sk_c8|~spl0_7|~spl0_10|~spl0_8|~spl0_9),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f98,f655])).
% 0.16/0.40 fof(f765,plain,(
% 0.16/0.40 multiply(sk_c7,sk_c8)=sk_c8|~spl0_7|~spl0_10|~spl0_8|~spl0_9|~spl0_0),
% 0.16/0.40 inference(backward_demodulation,[status(thm)],[f764,f71])).
% 0.16/0.40 fof(f811,plain,(
% 0.16/0.40 multiply(sk_c3,sk_c8)=identity|~spl0_3|~spl0_6),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f663,f630])).
% 0.16/0.40 fof(f857,plain,(
% 0.16/0.40 ![X0,X1]: (sk_c8=multiply(inverse(multiply(X0,multiply(X1,sk_c7))),multiply(X0,multiply(X1,sk_c7)))|~spl0_10|~spl0_9)),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f652,f221])).
% 0.16/0.40 fof(f858,plain,(
% 0.16/0.40 sk_c8=identity|~spl0_10|~spl0_9),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f36,f857])).
% 0.16/0.40 fof(f859,plain,(
% 0.16/0.40 $false|spl0_21|~spl0_10|~spl0_9),
% 0.16/0.40 inference(forward_subsumption_resolution,[status(thm)],[f858,f758])).
% 0.16/0.40 fof(f860,plain,(
% 0.16/0.40 spl0_21|~spl0_10|~spl0_9),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f859])).
% 0.16/0.40 fof(f878,plain,(
% 0.16/0.40 identity=sk_c7|~spl0_2|~spl0_6|~spl0_3|~spl0_5),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f811,f714])).
% 0.16/0.40 fof(f879,plain,(
% 0.16/0.40 multiply(sk_c8,sk_c7)=identity|~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4),
% 0.16/0.40 inference(backward_demodulation,[status(thm)],[f878,f713])).
% 0.16/0.40 fof(f880,plain,(
% 0.16/0.40 multiply(sk_c8,identity)=identity|~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f879])).
% 0.16/0.40 fof(f881,plain,(
% 0.16/0.40 sk_c8=identity|~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f192,f880])).
% 0.16/0.40 fof(f886,plain,(
% 0.16/0.40 ~sk_c8=identity|~spl0_2|~spl0_6|~spl0_3|~spl0_5|spl0_19),
% 0.16/0.40 inference(backward_demodulation,[status(thm)],[f878,f759])).
% 0.16/0.40 fof(f891,plain,(
% 0.16/0.40 ![X0]: (~multiply(X0,sk_c8)=identity|~inverse(X0)=sk_c8|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_13)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f140])).
% 0.16/0.40 fof(f892,plain,(
% 0.16/0.40 ~inverse(sk_c3)=sk_c8|~spl0_2|~spl0_5|~spl0_13|~spl0_3|~spl0_6),
% 0.16/0.40 inference(resolution,[status(thm)],[f891,f811])).
% 0.16/0.40 fof(f893,plain,(
% 0.16/0.40 ~sk_c8=sk_c8|~spl0_2|~spl0_5|~spl0_13|~spl0_3|~spl0_6),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f82,f892])).
% 0.16/0.40 fof(f894,plain,(
% 0.16/0.40 $false|~spl0_2|~spl0_5|~spl0_13|~spl0_3|~spl0_6),
% 0.16/0.40 inference(trivial_equality_resolution,[status(esa)],[f893])).
% 0.16/0.40 fof(f895,plain,(
% 0.16/0.40 ~spl0_2|~spl0_5|~spl0_13|~spl0_3|~spl0_6),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f894])).
% 0.16/0.40 fof(f896,plain,(
% 0.16/0.40 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c7|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f137])).
% 0.16/0.40 fof(f897,plain,(
% 0.16/0.40 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c7|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f192,f896])).
% 0.16/0.40 fof(f898,plain,(
% 0.16/0.40 ![X0]: (~X0=sk_c8|~inverse(X0)=identity|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f897])).
% 0.16/0.40 fof(f899,plain,(
% 0.16/0.40 ~inverse(sk_c8)=identity|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12),
% 0.16/0.40 inference(destructive_equality_resolution,[status(esa)],[f898])).
% 0.16/0.40 fof(f1760,plain,(
% 0.16/0.40 ~identity=identity|~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|spl0_19),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f881,f886])).
% 0.16/0.40 fof(f1761,plain,(
% 0.16/0.40 $false|~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|spl0_19),
% 0.16/0.40 inference(trivial_equality_resolution,[status(esa)],[f1760])).
% 0.16/0.40 fof(f1762,plain,(
% 0.16/0.40 ~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|spl0_19),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f1761])).
% 0.16/0.40 fof(f1763,plain,(
% 0.16/0.40 ~identity=sk_c7|~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4|spl0_15),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f881,f728])).
% 0.16/0.40 fof(f1764,plain,(
% 0.16/0.40 ~identity=identity|~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4|spl0_15),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f1763])).
% 0.16/0.40 fof(f1765,plain,(
% 0.16/0.40 $false|~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4|spl0_15),
% 0.16/0.40 inference(trivial_equality_resolution,[status(esa)],[f1764])).
% 0.16/0.40 fof(f1766,plain,(
% 0.16/0.40 ~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4|spl0_15),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f1765])).
% 0.16/0.40 fof(f1770,plain,(
% 0.16/0.40 multiply(identity,sk_c7)=sk_c6|~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4|~spl0_1),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f881,f74])).
% 0.16/0.40 fof(f1771,plain,(
% 0.16/0.40 sk_c7=sk_c6|~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4|~spl0_1),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f35,f1770])).
% 0.16/0.40 fof(f1772,plain,(
% 0.16/0.40 identity=sk_c6|~spl0_6|~spl0_3|~spl0_5|~spl0_2|~spl0_4|~spl0_1),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f1771])).
% 0.16/0.40 fof(f1787,plain,(
% 0.16/0.40 ![X0]: (sk_c8=multiply(inverse(multiply(X0,sk_c7)),multiply(X0,sk_c7))|~spl0_10|~spl0_9)),
% 0.16/0.40 inference(paramodulation,[status(thm)],[f652,f156])).
% 0.16/0.40 fof(f1788,plain,(
% 0.16/0.40 sk_c8=multiply(inverse(sk_c7),sk_c7)|~spl0_10|~spl0_9),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f270,f1787])).
% 0.16/0.40 fof(f1789,plain,(
% 0.16/0.40 sk_c8=identity|~spl0_10|~spl0_9),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f36,f1788])).
% 0.16/0.40 fof(f1807,plain,(
% 0.16/0.40 spl0_22 <=> identity=sk_c8),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f1809,plain,(
% 0.16/0.40 ~identity=sk_c8|spl0_22),
% 0.16/0.40 inference(component_clause,[status(thm)],[f1807])).
% 0.16/0.40 fof(f1810,plain,(
% 0.16/0.40 spl0_23 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.16/0.40 introduced(split_symbol_definition)).
% 0.16/0.40 fof(f1812,plain,(
% 0.16/0.40 ~inverse(inverse(sk_c7))=sk_c7|spl0_23),
% 0.16/0.40 inference(component_clause,[status(thm)],[f1810])).
% 0.16/0.40 fof(f1822,plain,(
% 0.16/0.40 ~sk_c7=sk_c7|spl0_23),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f194,f1812])).
% 0.16/0.40 fof(f1823,plain,(
% 0.16/0.40 $false|spl0_23),
% 0.16/0.40 inference(trivial_equality_resolution,[status(esa)],[f1822])).
% 0.16/0.40 fof(f1824,plain,(
% 0.16/0.40 spl0_23),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f1823])).
% 0.16/0.40 fof(f1834,plain,(
% 0.16/0.40 multiply(sk_c7,sk_c8)=identity|~spl0_7|~spl0_10|~spl0_8|~spl0_9|~spl0_0),
% 0.16/0.40 inference(backward_demodulation,[status(thm)],[f1789,f765])).
% 0.16/0.40 fof(f1835,plain,(
% 0.16/0.40 multiply(sk_c7,identity)=identity|~spl0_7|~spl0_10|~spl0_8|~spl0_9|~spl0_0),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1789,f1834])).
% 0.16/0.40 fof(f1836,plain,(
% 0.16/0.40 sk_c7=identity|~spl0_7|~spl0_10|~spl0_8|~spl0_9|~spl0_0),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f192,f1835])).
% 0.16/0.40 fof(f1839,plain,(
% 0.16/0.40 ~identity=identity|~spl0_10|~spl0_9|spl0_22),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1789,f1809])).
% 0.16/0.40 fof(f1840,plain,(
% 0.16/0.40 $false|~spl0_10|~spl0_9|spl0_22),
% 0.16/0.40 inference(trivial_equality_resolution,[status(esa)],[f1839])).
% 0.16/0.40 fof(f1841,plain,(
% 0.16/0.40 ~spl0_10|~spl0_9|spl0_22),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f1840])).
% 0.16/0.40 fof(f1844,plain,(
% 0.16/0.40 ~identity=sk_c7|~spl0_10|~spl0_9|spl0_15),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1789,f728])).
% 0.16/0.40 fof(f1846,plain,(
% 0.16/0.40 ~identity=identity|~spl0_7|~spl0_8|~spl0_0|~spl0_10|~spl0_9|spl0_15),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1836,f1844])).
% 0.16/0.40 fof(f1847,plain,(
% 0.16/0.40 $false|~spl0_7|~spl0_8|~spl0_0|~spl0_10|~spl0_9|spl0_15),
% 0.16/0.40 inference(trivial_equality_resolution,[status(esa)],[f1846])).
% 0.16/0.40 fof(f1848,plain,(
% 0.16/0.40 ~spl0_7|~spl0_8|~spl0_0|~spl0_10|~spl0_9|spl0_15),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f1847])).
% 0.16/0.40 fof(f1880,plain,(
% 0.16/0.40 ~inverse(identity)=identity|~spl0_10|~spl0_9|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1789,f899])).
% 0.16/0.40 fof(f1881,plain,(
% 0.16/0.40 ~identity=identity|~spl0_10|~spl0_9|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f173,f1880])).
% 0.16/0.40 fof(f1882,plain,(
% 0.16/0.40 $false|~spl0_10|~spl0_9|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12),
% 0.16/0.40 inference(trivial_equality_resolution,[status(esa)],[f1881])).
% 0.16/0.40 fof(f1883,plain,(
% 0.16/0.40 ~spl0_10|~spl0_9|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f1882])).
% 0.16/0.40 fof(f1884,plain,(
% 0.16/0.40 identity=sk_c7|~spl0_10|~spl0_9|~spl0_15),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1789,f727])).
% 0.16/0.40 fof(f1912,plain,(
% 0.16/0.40 multiply(sk_c2,identity)=sk_c8|~spl0_10|~spl0_15|~spl0_9),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1884,f116])).
% 0.16/0.40 fof(f1913,plain,(
% 0.16/0.40 sk_c2=sk_c8|~spl0_10|~spl0_15|~spl0_9),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f192,f1912])).
% 0.16/0.40 fof(f1914,plain,(
% 0.16/0.40 sk_c2=identity|~spl0_10|~spl0_15|~spl0_9),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1789,f1913])).
% 0.16/0.40 fof(f1915,plain,(
% 0.16/0.40 multiply(identity,sk_c8)=sk_c6|~spl0_10|~spl0_9|~spl0_15|~spl0_0),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1884,f71])).
% 0.16/0.40 fof(f1916,plain,(
% 0.16/0.40 sk_c8=sk_c6|~spl0_10|~spl0_9|~spl0_15|~spl0_0),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f35,f1915])).
% 0.16/0.40 fof(f1917,plain,(
% 0.16/0.40 identity=sk_c6|~spl0_10|~spl0_9|~spl0_15|~spl0_0),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1789,f1916])).
% 0.16/0.40 fof(f2573,plain,(
% 0.16/0.40 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c7|~spl0_10|~spl0_9|~spl0_15|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1884,f137])).
% 0.16/0.40 fof(f2574,plain,(
% 0.16/0.40 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c7|~spl0_10|~spl0_9|~spl0_15|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f192,f2573])).
% 0.16/0.40 fof(f2575,plain,(
% 0.16/0.40 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_10|~spl0_9|~spl0_15|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1789,f2574])).
% 0.16/0.40 fof(f2576,plain,(
% 0.16/0.40 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_10|~spl0_9|~spl0_15|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1884,f2575])).
% 0.16/0.40 fof(f2577,plain,(
% 0.16/0.40 ~inverse(identity)=identity|~spl0_10|~spl0_9|~spl0_15|~spl0_12),
% 0.16/0.40 inference(destructive_equality_resolution,[status(esa)],[f2576])).
% 0.16/0.40 fof(f2578,plain,(
% 0.16/0.40 $false|~spl0_10|~spl0_9|~spl0_15|~spl0_12),
% 0.16/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2577,f173])).
% 0.16/0.40 fof(f2579,plain,(
% 0.16/0.40 ~spl0_10|~spl0_9|~spl0_15|~spl0_12),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f2578])).
% 0.16/0.40 fof(f2580,plain,(
% 0.16/0.40 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c7|~spl0_10|~spl0_9|~spl0_15|~spl0_11)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1884,f134])).
% 0.16/0.40 fof(f2581,plain,(
% 0.16/0.40 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c7|~spl0_10|~spl0_9|~spl0_15|~spl0_11)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f192,f2580])).
% 0.16/0.40 fof(f2582,plain,(
% 0.16/0.40 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_0|~spl0_10|~spl0_9|~spl0_15|~spl0_11)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1917,f2581])).
% 0.16/0.40 fof(f2583,plain,(
% 0.16/0.40 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_10|~spl0_9|~spl0_15|~spl0_11)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1884,f2582])).
% 0.16/0.40 fof(f2584,plain,(
% 0.16/0.40 ~inverse(identity)=identity|~spl0_0|~spl0_10|~spl0_9|~spl0_15|~spl0_11),
% 0.16/0.40 inference(destructive_equality_resolution,[status(esa)],[f2583])).
% 0.16/0.40 fof(f2585,plain,(
% 0.16/0.40 $false|~spl0_0|~spl0_10|~spl0_9|~spl0_15|~spl0_11),
% 0.16/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2584,f173])).
% 0.16/0.40 fof(f2586,plain,(
% 0.16/0.40 ~spl0_0|~spl0_10|~spl0_9|~spl0_15|~spl0_11),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f2585])).
% 0.16/0.40 fof(f2624,plain,(
% 0.16/0.40 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c7|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_11)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f134])).
% 0.16/0.40 fof(f2625,plain,(
% 0.16/0.40 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c7|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_11)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f192,f2624])).
% 0.16/0.40 fof(f2626,plain,(
% 0.16/0.40 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_4|~spl0_1|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_11)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1772,f2625])).
% 0.16/0.40 fof(f2627,plain,(
% 0.16/0.40 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_4|~spl0_1|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_11)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f2626])).
% 0.16/0.40 fof(f2628,plain,(
% 0.16/0.40 ~inverse(identity)=identity|~spl0_4|~spl0_1|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_11),
% 0.16/0.40 inference(destructive_equality_resolution,[status(esa)],[f2627])).
% 0.16/0.40 fof(f2629,plain,(
% 0.16/0.40 $false|~spl0_4|~spl0_1|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_11),
% 0.16/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2628,f173])).
% 0.16/0.40 fof(f2630,plain,(
% 0.16/0.40 ~spl0_4|~spl0_1|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_11),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f2629])).
% 0.16/0.40 fof(f2631,plain,(
% 0.16/0.40 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c7|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f137])).
% 0.16/0.40 fof(f2632,plain,(
% 0.16/0.40 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c7|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f192,f2631])).
% 0.16/0.40 fof(f2633,plain,(
% 0.16/0.40 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f881,f2632])).
% 0.16/0.40 fof(f2634,plain,(
% 0.16/0.40 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12)),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f2633])).
% 0.16/0.40 fof(f2635,plain,(
% 0.16/0.40 ~inverse(identity)=identity|~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12),
% 0.16/0.40 inference(destructive_equality_resolution,[status(esa)],[f2634])).
% 0.16/0.40 fof(f2636,plain,(
% 0.16/0.40 $false|~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12),
% 0.16/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2635,f173])).
% 0.16/0.40 fof(f2637,plain,(
% 0.16/0.40 ~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|~spl0_12),
% 0.16/0.40 inference(contradiction_clause,[status(thm)],[f2636])).
% 0.16/0.40 fof(f2638,plain,(
% 0.16/0.40 ~multiply(identity,sk_c8)=sk_c6|~spl0_2|~spl0_6|~spl0_3|~spl0_5|spl0_0),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f878,f72])).
% 0.16/0.40 fof(f2639,plain,(
% 0.16/0.40 ~sk_c8=sk_c6|~spl0_2|~spl0_6|~spl0_3|~spl0_5|spl0_0),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f35,f2638])).
% 0.16/0.40 fof(f2640,plain,(
% 0.16/0.40 ~identity=sk_c6|~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|spl0_0),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f881,f2639])).
% 0.16/0.40 fof(f2641,plain,(
% 0.16/0.40 ~identity=identity|~spl0_1|~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|spl0_0),
% 0.16/0.40 inference(forward_demodulation,[status(thm)],[f1772,f2640])).
% 0.16/0.40 fof(f2642,plain,(
% 0.16/0.40 $false|~spl0_1|~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|spl0_0),
% 0.16/0.40 inference(trivial_equality_resolution,[status(esa)],[f2641])).
% 0.16/0.41 fof(f2643,plain,(
% 0.16/0.41 ~spl0_1|~spl0_4|~spl0_2|~spl0_6|~spl0_3|~spl0_5|spl0_0),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f2642])).
% 0.16/0.41 fof(f2970,plain,(
% 0.16/0.41 sk_c7=identity|~spl0_15|~spl0_10|~spl0_9),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f727,f1789])).
% 0.16/0.41 fof(f2972,plain,(
% 0.16/0.41 multiply(identity,sk_c7)=sk_c8|~spl0_10|~spl0_15|~spl0_9),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f1914,f116])).
% 0.16/0.41 fof(f2973,plain,(
% 0.16/0.41 sk_c7=sk_c8|~spl0_10|~spl0_15|~spl0_9),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f35,f2972])).
% 0.16/0.41 fof(f2974,plain,(
% 0.16/0.41 identity=sk_c8|~spl0_10|~spl0_15|~spl0_9),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f2970,f2973])).
% 0.16/0.41 fof(f2997,plain,(
% 0.16/0.41 ~multiply(identity,sk_c8)=sk_c7|~spl0_10|~spl0_15|~spl0_9|spl0_20),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f2974,f751])).
% 0.16/0.41 fof(f2998,plain,(
% 0.16/0.41 ~sk_c8=sk_c7|~spl0_10|~spl0_15|~spl0_9|spl0_20),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f35,f2997])).
% 0.16/0.41 fof(f2999,plain,(
% 0.16/0.41 ~identity=sk_c7|~spl0_10|~spl0_15|~spl0_9|spl0_20),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f2974,f2998])).
% 0.16/0.41 fof(f3000,plain,(
% 0.16/0.41 ~identity=identity|~spl0_10|~spl0_15|~spl0_9|spl0_20),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f2970,f2999])).
% 0.16/0.41 fof(f3001,plain,(
% 0.16/0.41 $false|~spl0_10|~spl0_15|~spl0_9|spl0_20),
% 0.16/0.41 inference(trivial_equality_resolution,[status(esa)],[f3000])).
% 0.16/0.41 fof(f3002,plain,(
% 0.16/0.41 ~spl0_10|~spl0_15|~spl0_9|spl0_20),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f3001])).
% 0.16/0.41 fof(f3638,plain,(
% 0.16/0.41 ~multiply(identity,sk_c7)=sk_c6|~spl0_10|~spl0_15|~spl0_9|spl0_1),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f2974,f75])).
% 0.16/0.41 fof(f3639,plain,(
% 0.16/0.41 ~sk_c7=sk_c6|~spl0_10|~spl0_15|~spl0_9|spl0_1),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f35,f3638])).
% 0.16/0.41 fof(f3640,plain,(
% 0.16/0.41 ~identity=sk_c6|~spl0_10|~spl0_15|~spl0_9|spl0_1),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f2970,f3639])).
% 0.16/0.41 fof(f3641,plain,(
% 0.16/0.41 ~identity=identity|~spl0_0|~spl0_10|~spl0_15|~spl0_9|spl0_1),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f1917,f3640])).
% 0.16/0.41 fof(f3642,plain,(
% 0.16/0.41 $false|~spl0_0|~spl0_10|~spl0_15|~spl0_9|spl0_1),
% 0.16/0.41 inference(trivial_equality_resolution,[status(esa)],[f3641])).
% 0.16/0.41 fof(f3643,plain,(
% 0.16/0.41 ~spl0_0|~spl0_10|~spl0_15|~spl0_9|spl0_1),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f3642])).
% 0.16/0.41 fof(f3679,plain,(
% 0.16/0.41 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_10|~spl0_15|~spl0_9|~spl0_13)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f2974,f140])).
% 0.16/0.41 fof(f3680,plain,(
% 0.16/0.41 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c8|~spl0_10|~spl0_15|~spl0_9|~spl0_13)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f192,f3679])).
% 0.16/0.41 fof(f3681,plain,(
% 0.16/0.41 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_10|~spl0_15|~spl0_9|~spl0_13)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f2970,f3680])).
% 0.16/0.41 fof(f3682,plain,(
% 0.16/0.41 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_10|~spl0_15|~spl0_9|~spl0_13)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f2974,f3681])).
% 0.16/0.41 fof(f3683,plain,(
% 0.16/0.41 ~inverse(identity)=identity|~spl0_10|~spl0_15|~spl0_9|~spl0_13),
% 0.16/0.41 inference(destructive_equality_resolution,[status(esa)],[f3682])).
% 0.16/0.41 fof(f3684,plain,(
% 0.16/0.41 $false|~spl0_10|~spl0_15|~spl0_9|~spl0_13),
% 0.16/0.41 inference(forward_subsumption_resolution,[status(thm)],[f3683,f173])).
% 0.16/0.41 fof(f3685,plain,(
% 0.16/0.41 ~spl0_10|~spl0_15|~spl0_9|~spl0_13),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f3684])).
% 0.16/0.41 fof(f3686,plain,(
% 0.16/0.41 $false),
% 0.16/0.41 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f733,f748,f756,f763,f860,f895,f1762,f1766,f1824,f1841,f1848,f1883,f2579,f2586,f2630,f2637,f2643,f3002,f3643,f3685])).
% 0.16/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.41 % Elapsed time: 0.095696 seconds
% 0.16/0.41 % CPU time: 0.344474 seconds
% 0.16/0.41 % Memory used: 44.089 MB
%------------------------------------------------------------------------------