TSTP Solution File: GRP286-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP286-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:11:13 EDT 2023
% Result : Unsatisfiable 0.17s 0.48s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.14 % Problem : GRP286-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35 % Computer : n015.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Tue May 30 11:44:34 EDT 2023
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V3.5.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f1,axiom,(
% 0.17/0.48 (![X]: (multiply(identity,X) = X ))),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f2,axiom,(
% 0.17/0.48 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f3,axiom,(
% 0.17/0.48 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f4,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f5,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f7,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f8,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f9,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f10,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f11,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f12,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f13,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f14,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f15,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f16,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f17,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f18,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f19,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f20,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f21,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f22,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f23,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f24,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f25,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f26,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c7) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f27,negated_conjecture,(
% 0.17/0.48 ( multiply(sk_c2,sk_c7) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f28,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f29,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f30,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f31,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f32,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f33,negated_conjecture,(
% 0.17/0.48 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f34,negated_conjecture,(
% 0.17/0.48 (![X3,X4,X1,X2,X5]: (( multiply(sk_c8,sk_c7) != sk_c6| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(X4,sk_c7) != sk_c6| inverse(X4) != sk_c7| multiply(sk_c7,sk_c8) != sk_c6| multiply(X1,sk_c7) != sk_c8| inverse(X1) != sk_c7| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f35,plain,(
% 0.17/0.48 ![X0]: (multiply(identity,X0)=X0)),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f1])).
% 0.17/0.48 fof(f36,plain,(
% 0.17/0.48 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f2])).
% 0.17/0.48 fof(f37,plain,(
% 0.17/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f3])).
% 0.17/0.48 fof(f38,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.48 fof(f39,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f5])).
% 0.17/0.48 fof(f41,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f7])).
% 0.17/0.48 fof(f42,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f8])).
% 0.17/0.48 fof(f43,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f9])).
% 0.17/0.48 fof(f44,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f10])).
% 0.17/0.48 fof(f45,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f11])).
% 0.17/0.48 fof(f46,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f12])).
% 0.17/0.48 fof(f47,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f13])).
% 0.17/0.48 fof(f48,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f14])).
% 0.17/0.48 fof(f49,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f15])).
% 0.17/0.48 fof(f50,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f16])).
% 0.17/0.48 fof(f51,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f17])).
% 0.17/0.48 fof(f52,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f18])).
% 0.17/0.48 fof(f53,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f19])).
% 0.17/0.48 fof(f54,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f20])).
% 0.17/0.48 fof(f55,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f21])).
% 0.17/0.48 fof(f56,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f22])).
% 0.17/0.48 fof(f57,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f23])).
% 0.17/0.48 fof(f58,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f24])).
% 0.17/0.48 fof(f59,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f25])).
% 0.17/0.48 fof(f60,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c7)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f26])).
% 0.17/0.48 fof(f61,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c7)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f27])).
% 0.17/0.48 fof(f62,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f28])).
% 0.17/0.48 fof(f63,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f29])).
% 0.17/0.48 fof(f64,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f30])).
% 0.17/0.48 fof(f65,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f31])).
% 0.17/0.48 fof(f66,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f32])).
% 0.17/0.48 fof(f67,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f33])).
% 0.17/0.48 fof(f68,plain,(
% 0.17/0.48 ![X5]: ((![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(X4,sk_c7)=sk_c6)|~inverse(X4)=sk_c7))|~multiply(sk_c7,sk_c8)=sk_c6)|~multiply(X1,sk_c7)=sk_c8)|~inverse(X1)=sk_c7))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.17/0.48 inference(miniscoping,[status(esa)],[f34])).
% 0.17/0.48 fof(f69,plain,(
% 0.17/0.48 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7|~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X2,sk_c7)=sk_c8|~inverse(X2)=sk_c7|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.17/0.48 inference(cnf_transformation,[status(esa)],[f68])).
% 0.17/0.48 fof(f70,plain,(
% 0.17/0.48 spl0_0 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f71,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c7)=sk_c6|~spl0_0),
% 0.17/0.48 inference(component_clause,[status(thm)],[f70])).
% 0.17/0.48 fof(f72,plain,(
% 0.17/0.48 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_0),
% 0.17/0.48 inference(component_clause,[status(thm)],[f70])).
% 0.17/0.48 fof(f73,plain,(
% 0.17/0.48 spl0_1 <=> multiply(sk_c7,sk_c8)=sk_c6),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f74,plain,(
% 0.17/0.48 multiply(sk_c7,sk_c8)=sk_c6|~spl0_1),
% 0.17/0.48 inference(component_clause,[status(thm)],[f73])).
% 0.17/0.48 fof(f75,plain,(
% 0.17/0.48 ~multiply(sk_c7,sk_c8)=sk_c6|spl0_1),
% 0.17/0.48 inference(component_clause,[status(thm)],[f73])).
% 0.17/0.48 fof(f76,plain,(
% 0.17/0.48 spl0_0|spl0_1),
% 0.17/0.48 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.17/0.48 fof(f77,plain,(
% 0.17/0.48 spl0_2 <=> multiply(sk_c3,sk_c7)=sk_c8),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f78,plain,(
% 0.17/0.48 multiply(sk_c3,sk_c7)=sk_c8|~spl0_2),
% 0.17/0.48 inference(component_clause,[status(thm)],[f77])).
% 0.17/0.48 fof(f80,plain,(
% 0.17/0.48 spl0_0|spl0_2),
% 0.17/0.48 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.17/0.48 fof(f81,plain,(
% 0.17/0.48 spl0_3 <=> inverse(sk_c3)=sk_c7),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f82,plain,(
% 0.17/0.48 inverse(sk_c3)=sk_c7|~spl0_3),
% 0.17/0.48 inference(component_clause,[status(thm)],[f81])).
% 0.17/0.48 fof(f85,plain,(
% 0.17/0.48 spl0_4 <=> multiply(sk_c8,sk_c5)=sk_c7),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f86,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c5)=sk_c7|~spl0_4),
% 0.17/0.48 inference(component_clause,[status(thm)],[f85])).
% 0.17/0.48 fof(f88,plain,(
% 0.17/0.48 spl0_0|spl0_4),
% 0.17/0.48 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.17/0.48 fof(f89,plain,(
% 0.17/0.48 spl0_5 <=> multiply(sk_c4,sk_c8)=sk_c5),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f90,plain,(
% 0.17/0.48 multiply(sk_c4,sk_c8)=sk_c5|~spl0_5),
% 0.17/0.48 inference(component_clause,[status(thm)],[f89])).
% 0.17/0.48 fof(f92,plain,(
% 0.17/0.48 spl0_0|spl0_5),
% 0.17/0.48 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.17/0.48 fof(f93,plain,(
% 0.17/0.48 spl0_6 <=> inverse(sk_c4)=sk_c8),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f94,plain,(
% 0.17/0.48 inverse(sk_c4)=sk_c8|~spl0_6),
% 0.17/0.48 inference(component_clause,[status(thm)],[f93])).
% 0.17/0.48 fof(f96,plain,(
% 0.17/0.48 spl0_0|spl0_6),
% 0.17/0.48 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.17/0.48 fof(f97,plain,(
% 0.17/0.48 spl0_7 <=> multiply(sk_c1,sk_c8)=sk_c7),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f98,plain,(
% 0.17/0.48 multiply(sk_c1,sk_c8)=sk_c7|~spl0_7),
% 0.17/0.48 inference(component_clause,[status(thm)],[f97])).
% 0.17/0.48 fof(f100,plain,(
% 0.17/0.48 spl0_7|spl0_1),
% 0.17/0.48 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.17/0.48 fof(f101,plain,(
% 0.17/0.48 spl0_7|spl0_2),
% 0.17/0.48 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.17/0.48 fof(f102,plain,(
% 0.17/0.48 spl0_7|spl0_3),
% 0.17/0.48 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.17/0.48 fof(f103,plain,(
% 0.17/0.48 spl0_7|spl0_4),
% 0.17/0.48 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.17/0.48 fof(f104,plain,(
% 0.17/0.48 spl0_7|spl0_5),
% 0.17/0.48 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.17/0.48 fof(f105,plain,(
% 0.17/0.48 spl0_7|spl0_6),
% 0.17/0.48 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.17/0.48 fof(f106,plain,(
% 0.17/0.48 spl0_8 <=> inverse(sk_c1)=sk_c8),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f107,plain,(
% 0.17/0.48 inverse(sk_c1)=sk_c8|~spl0_8),
% 0.17/0.48 inference(component_clause,[status(thm)],[f106])).
% 0.17/0.48 fof(f109,plain,(
% 0.17/0.48 spl0_8|spl0_1),
% 0.17/0.48 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.17/0.48 fof(f110,plain,(
% 0.17/0.48 spl0_8|spl0_2),
% 0.17/0.48 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.17/0.48 fof(f111,plain,(
% 0.17/0.48 spl0_8|spl0_3),
% 0.17/0.48 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.17/0.48 fof(f112,plain,(
% 0.17/0.48 spl0_8|spl0_4),
% 0.17/0.48 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.17/0.48 fof(f113,plain,(
% 0.17/0.48 spl0_8|spl0_5),
% 0.17/0.48 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.17/0.48 fof(f114,plain,(
% 0.17/0.48 spl0_8|spl0_6),
% 0.17/0.48 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.17/0.48 fof(f115,plain,(
% 0.17/0.48 spl0_9 <=> multiply(sk_c2,sk_c7)=sk_c6),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f116,plain,(
% 0.17/0.48 multiply(sk_c2,sk_c7)=sk_c6|~spl0_9),
% 0.17/0.48 inference(component_clause,[status(thm)],[f115])).
% 0.17/0.48 fof(f118,plain,(
% 0.17/0.48 spl0_9|spl0_1),
% 0.17/0.48 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.17/0.48 fof(f119,plain,(
% 0.17/0.48 spl0_9|spl0_2),
% 0.17/0.48 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.17/0.48 fof(f120,plain,(
% 0.17/0.48 spl0_9|spl0_3),
% 0.17/0.48 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.17/0.48 fof(f121,plain,(
% 0.17/0.48 spl0_9|spl0_4),
% 0.17/0.48 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.17/0.48 fof(f122,plain,(
% 0.17/0.48 spl0_9|spl0_5),
% 0.17/0.48 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.17/0.48 fof(f123,plain,(
% 0.17/0.48 spl0_9|spl0_6),
% 0.17/0.48 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.17/0.48 fof(f124,plain,(
% 0.17/0.48 spl0_10 <=> inverse(sk_c2)=sk_c7),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f125,plain,(
% 0.17/0.48 inverse(sk_c2)=sk_c7|~spl0_10),
% 0.17/0.48 inference(component_clause,[status(thm)],[f124])).
% 0.17/0.48 fof(f127,plain,(
% 0.17/0.48 spl0_10|spl0_1),
% 0.17/0.48 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.17/0.48 fof(f128,plain,(
% 0.17/0.48 spl0_10|spl0_2),
% 0.17/0.48 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.17/0.48 fof(f129,plain,(
% 0.17/0.48 spl0_10|spl0_3),
% 0.17/0.48 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.17/0.48 fof(f130,plain,(
% 0.17/0.48 spl0_10|spl0_4),
% 0.17/0.48 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.17/0.48 fof(f131,plain,(
% 0.17/0.48 spl0_10|spl0_5),
% 0.17/0.48 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.17/0.48 fof(f132,plain,(
% 0.17/0.48 spl0_10|spl0_6),
% 0.17/0.48 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.17/0.48 fof(f133,plain,(
% 0.17/0.48 spl0_11 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f134,plain,(
% 0.17/0.48 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_11)),
% 0.17/0.48 inference(component_clause,[status(thm)],[f133])).
% 0.17/0.48 fof(f136,plain,(
% 0.17/0.48 spl0_12 <=> ~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f137,plain,(
% 0.17/0.48 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_12)),
% 0.17/0.48 inference(component_clause,[status(thm)],[f136])).
% 0.17/0.48 fof(f139,plain,(
% 0.17/0.48 spl0_13 <=> ~multiply(X2,sk_c7)=sk_c8|~inverse(X2)=sk_c7),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f140,plain,(
% 0.17/0.48 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_13)),
% 0.17/0.48 inference(component_clause,[status(thm)],[f139])).
% 0.17/0.48 fof(f142,plain,(
% 0.17/0.48 spl0_14 <=> ~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f143,plain,(
% 0.17/0.48 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_14)),
% 0.17/0.48 inference(component_clause,[status(thm)],[f142])).
% 0.17/0.48 fof(f145,plain,(
% 0.17/0.48 ~spl0_0|spl0_11|spl0_12|~spl0_1|spl0_13|spl0_14),
% 0.17/0.48 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.17/0.48 fof(f146,plain,(
% 0.17/0.48 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_14)),
% 0.17/0.48 inference(destructive_equality_resolution,[status(esa)],[f143])).
% 0.17/0.48 fof(f147,plain,(
% 0.17/0.48 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~spl0_14|~spl0_5),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f90,f146])).
% 0.17/0.48 fof(f148,plain,(
% 0.17/0.48 ~spl0_4|~spl0_6|~spl0_14|~spl0_5),
% 0.17/0.48 inference(split_clause,[status(thm)],[f147,f85,f93,f142,f89])).
% 0.17/0.48 fof(f149,plain,(
% 0.17/0.48 spl0_15 <=> multiply(sk_c8,sk_c7)=sk_c7),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f150,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c7)=sk_c7|~spl0_15),
% 0.17/0.48 inference(component_clause,[status(thm)],[f149])).
% 0.17/0.48 fof(f151,plain,(
% 0.17/0.48 ~multiply(sk_c8,sk_c7)=sk_c7|spl0_15),
% 0.17/0.48 inference(component_clause,[status(thm)],[f149])).
% 0.17/0.48 fof(f152,plain,(
% 0.17/0.48 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c1)=sk_c8|~spl0_14|~spl0_7),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f98,f146])).
% 0.17/0.48 fof(f153,plain,(
% 0.17/0.48 ~spl0_15|~spl0_8|~spl0_14|~spl0_7),
% 0.17/0.48 inference(split_clause,[status(thm)],[f152,f149,f106,f142,f97])).
% 0.17/0.48 fof(f155,plain,(
% 0.17/0.48 ~inverse(sk_c3)=sk_c7|~spl0_13|~spl0_2),
% 0.17/0.48 inference(resolution,[status(thm)],[f140,f78])).
% 0.17/0.48 fof(f156,plain,(
% 0.17/0.48 ~sk_c7=sk_c7|~spl0_3|~spl0_13|~spl0_2),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f82,f155])).
% 0.17/0.48 fof(f157,plain,(
% 0.17/0.48 $false|~spl0_3|~spl0_13|~spl0_2),
% 0.17/0.48 inference(trivial_equality_resolution,[status(esa)],[f156])).
% 0.17/0.48 fof(f158,plain,(
% 0.17/0.48 ~spl0_3|~spl0_13|~spl0_2),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f157])).
% 0.17/0.48 fof(f160,plain,(
% 0.17/0.48 ~inverse(sk_c2)=sk_c7|~spl0_12|~spl0_9),
% 0.17/0.48 inference(resolution,[status(thm)],[f137,f116])).
% 0.17/0.48 fof(f161,plain,(
% 0.17/0.48 ~sk_c7=sk_c7|~spl0_10|~spl0_12|~spl0_9),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f125,f160])).
% 0.17/0.48 fof(f162,plain,(
% 0.17/0.48 $false|~spl0_10|~spl0_12|~spl0_9),
% 0.17/0.48 inference(trivial_equality_resolution,[status(esa)],[f161])).
% 0.17/0.48 fof(f163,plain,(
% 0.17/0.48 ~spl0_10|~spl0_12|~spl0_9),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f162])).
% 0.17/0.48 fof(f164,plain,(
% 0.17/0.48 spl0_16 <=> sk_c6=sk_c7),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f167,plain,(
% 0.17/0.48 spl0_17 <=> inverse(sk_c7)=sk_c8),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f170,plain,(
% 0.17/0.48 ~sk_c6=sk_c7|~inverse(sk_c7)=sk_c8|~spl0_11|~spl0_1),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f74,f134])).
% 0.17/0.48 fof(f171,plain,(
% 0.17/0.48 ~spl0_16|~spl0_17|~spl0_11|~spl0_1),
% 0.17/0.48 inference(split_clause,[status(thm)],[f170,f164,f167,f133,f73])).
% 0.17/0.48 fof(f172,plain,(
% 0.17/0.48 spl0_18 <=> sk_c5=sk_c7),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f174,plain,(
% 0.17/0.48 ~sk_c5=sk_c7|spl0_18),
% 0.17/0.48 inference(component_clause,[status(thm)],[f172])).
% 0.17/0.48 fof(f175,plain,(
% 0.17/0.48 ~sk_c5=sk_c7|~inverse(sk_c4)=sk_c8|~spl0_11|~spl0_5),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f90,f134])).
% 0.17/0.48 fof(f176,plain,(
% 0.17/0.48 ~spl0_18|~spl0_6|~spl0_11|~spl0_5),
% 0.17/0.48 inference(split_clause,[status(thm)],[f175,f172,f93,f133,f89])).
% 0.17/0.48 fof(f180,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(sk_c8,X0))|~spl0_5)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.17/0.48 fof(f181,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_4)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f86,f37])).
% 0.17/0.48 fof(f182,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~spl0_1)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.17/0.48 fof(f183,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~spl0_2)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f78,f37])).
% 0.17/0.48 fof(f184,plain,(
% 0.17/0.48 multiply(sk_c5,sk_c5)=multiply(sk_c4,sk_c7)|~spl0_5|~spl0_4),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f86,f180])).
% 0.17/0.48 fof(f188,plain,(
% 0.17/0.48 ![X0]: (multiply(multiply(sk_c5,sk_c5),X0)=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_5|~spl0_4)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f184,f37])).
% 0.17/0.48 fof(f189,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c5,multiply(sk_c5,X0))=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_5|~spl0_4)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f37,f188])).
% 0.17/0.48 fof(f200,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c8)=multiply(sk_c3,sk_c6)|~spl0_2|~spl0_1),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f74,f183])).
% 0.17/0.48 fof(f213,plain,(
% 0.17/0.48 multiply(sk_c5,multiply(sk_c5,sk_c8))=multiply(sk_c4,sk_c6)|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f74,f189])).
% 0.17/0.48 fof(f219,plain,(
% 0.17/0.48 multiply(sk_c7,multiply(sk_c5,sk_c8))=multiply(sk_c8,multiply(sk_c4,sk_c6))|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f213,f181])).
% 0.17/0.48 fof(f234,plain,(
% 0.17/0.48 multiply(sk_c8,multiply(sk_c5,sk_c8))=multiply(sk_c3,multiply(sk_c8,multiply(sk_c4,sk_c6)))|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f219,f183])).
% 0.17/0.48 fof(f235,plain,(
% 0.17/0.48 multiply(sk_c7,sk_c8)=multiply(sk_c3,multiply(sk_c8,multiply(sk_c4,sk_c6)))|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f181,f234])).
% 0.17/0.48 fof(f236,plain,(
% 0.17/0.48 sk_c6=multiply(sk_c3,multiply(sk_c8,multiply(sk_c4,sk_c6)))|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f74,f235])).
% 0.17/0.48 fof(f289,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c4)=identity|~spl0_6),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.17/0.48 fof(f290,plain,(
% 0.17/0.48 multiply(sk_c7,sk_c3)=identity|~spl0_3),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.17/0.48 fof(f291,plain,(
% 0.17/0.48 multiply(sk_c7,sk_c2)=identity|~spl0_10),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f125,f36])).
% 0.17/0.48 fof(f292,plain,(
% 0.17/0.48 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.17/0.48 fof(f293,plain,(
% 0.17/0.48 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f292])).
% 0.17/0.48 fof(f296,plain,(
% 0.17/0.48 multiply(sk_c6,sk_c4)=multiply(sk_c7,identity)|~spl0_1|~spl0_6),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f289,f182])).
% 0.17/0.48 fof(f297,plain,(
% 0.17/0.48 multiply(sk_c5,sk_c4)=multiply(sk_c4,identity)|~spl0_5|~spl0_6),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f289,f180])).
% 0.17/0.48 fof(f298,plain,(
% 0.17/0.48 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c4,X0))|~spl0_6)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f289,f37])).
% 0.17/0.48 fof(f299,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~spl0_6)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f298])).
% 0.17/0.48 fof(f306,plain,(
% 0.17/0.48 sk_c6=multiply(sk_c3,sk_c6)|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f299,f236])).
% 0.17/0.48 fof(f307,plain,(
% 0.17/0.48 sk_c6=multiply(sk_c8,sk_c8)|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f200,f306])).
% 0.17/0.48 fof(f316,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c3)=multiply(sk_c3,identity)|~spl0_2|~spl0_3),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f290,f183])).
% 0.17/0.48 fof(f317,plain,(
% 0.17/0.48 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_3)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f290,f37])).
% 0.17/0.48 fof(f318,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_3)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f317])).
% 0.17/0.48 fof(f323,plain,(
% 0.17/0.48 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_10)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f291,f37])).
% 0.17/0.48 fof(f324,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f323])).
% 0.17/0.48 fof(f327,plain,(
% 0.17/0.48 multiply(sk_c5,sk_c8)=multiply(sk_c4,sk_c6)|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f307,f180])).
% 0.17/0.48 fof(f338,plain,(
% 0.17/0.48 ![X0]: (multiply(multiply(sk_c8,sk_c3),X0)=multiply(sk_c3,multiply(identity,X0))|~spl0_2|~spl0_3)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f316,f37])).
% 0.17/0.48 fof(f339,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,multiply(sk_c3,X0))=multiply(sk_c3,multiply(identity,X0))|~spl0_2|~spl0_3)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f37,f338])).
% 0.17/0.48 fof(f340,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,multiply(sk_c3,X0))=multiply(sk_c3,X0)|~spl0_2|~spl0_3)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f339])).
% 0.17/0.48 fof(f353,plain,(
% 0.17/0.48 identity=multiply(sk_c8,multiply(sk_c5,sk_c4))|~spl0_5|~spl0_6),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f297,f299])).
% 0.17/0.48 fof(f359,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_6|~spl0_5)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f180,f299])).
% 0.17/0.48 fof(f360,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c7,X0)|~spl0_4|~spl0_6|~spl0_5)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f181,f359])).
% 0.17/0.48 fof(f361,plain,(
% 0.17/0.48 sk_c8=multiply(sk_c8,sk_c5)|~spl0_6|~spl0_5),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f90,f299])).
% 0.17/0.48 fof(f362,plain,(
% 0.17/0.48 sk_c8=sk_c7|~spl0_4|~spl0_6|~spl0_5),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f86,f361])).
% 0.17/0.48 fof(f398,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c8,multiply(sk_c3,X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_3)),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f360,f318])).
% 0.17/0.48 fof(f399,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c3,X0)|~spl0_2|~spl0_4|~spl0_6|~spl0_5|~spl0_3)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f340,f398])).
% 0.17/0.48 fof(f404,plain,(
% 0.17/0.48 ~sk_c5=sk_c8|~spl0_4|~spl0_6|~spl0_5|spl0_18),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f362,f174])).
% 0.17/0.48 fof(f406,plain,(
% 0.17/0.48 ~multiply(sk_c8,sk_c8)=sk_c6|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f362,f72])).
% 0.17/0.48 fof(f407,plain,(
% 0.17/0.48 ~sk_c6=sk_c6|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f307,f406])).
% 0.17/0.48 fof(f408,plain,(
% 0.17/0.48 $false|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.17/0.48 inference(trivial_equality_resolution,[status(esa)],[f407])).
% 0.17/0.48 fof(f409,plain,(
% 0.17/0.48 ~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f408])).
% 0.17/0.48 fof(f410,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c5)=sk_c8|~spl0_6|~spl0_5|~spl0_4),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f362,f86])).
% 0.17/0.48 fof(f454,plain,(
% 0.17/0.48 ~sk_c6=sk_c7|~spl0_0|spl0_15),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f71,f151])).
% 0.17/0.48 fof(f456,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c8,multiply(sk_c7,X0))|~spl0_0)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f71,f37])).
% 0.17/0.48 fof(f459,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c1)=identity|~spl0_8),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f107,f36])).
% 0.17/0.48 fof(f464,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c2,multiply(sk_c7,X0))|~spl0_9)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f116,f37])).
% 0.17/0.48 fof(f465,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c1,multiply(sk_c8,X0))|~spl0_7)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f98,f37])).
% 0.17/0.48 fof(f466,plain,(
% 0.17/0.48 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c1,X0))|~spl0_8)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f459,f37])).
% 0.17/0.48 fof(f467,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c8,multiply(sk_c1,X0))|~spl0_8)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f466])).
% 0.17/0.48 fof(f469,plain,(
% 0.17/0.48 multiply(sk_c6,sk_c2)=multiply(sk_c8,identity)|~spl0_0|~spl0_10),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f291,f456])).
% 0.17/0.48 fof(f476,plain,(
% 0.17/0.48 ![X0]: (multiply(multiply(sk_c8,identity),X0)=multiply(sk_c6,multiply(sk_c2,X0))|~spl0_0|~spl0_10)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f469,f37])).
% 0.17/0.48 fof(f477,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,multiply(identity,X0))=multiply(sk_c6,multiply(sk_c2,X0))|~spl0_0|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f37,f476])).
% 0.17/0.48 fof(f478,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c6,multiply(sk_c2,X0))|~spl0_0|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f477])).
% 0.17/0.48 fof(f481,plain,(
% 0.17/0.48 multiply(sk_c6,sk_c2)=multiply(sk_c2,identity)|~spl0_9|~spl0_10),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f291,f464])).
% 0.17/0.48 fof(f482,plain,(
% 0.17/0.48 multiply(sk_c8,identity)=multiply(sk_c2,identity)|~spl0_0|~spl0_9|~spl0_10),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f469,f481])).
% 0.17/0.48 fof(f497,plain,(
% 0.17/0.48 multiply(sk_c7,sk_c1)=multiply(sk_c1,identity)|~spl0_7|~spl0_8),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f459,f465])).
% 0.17/0.48 fof(f502,plain,(
% 0.17/0.48 ![X0]: (multiply(multiply(sk_c7,sk_c1),X0)=multiply(sk_c1,multiply(identity,X0))|~spl0_7|~spl0_8)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f497,f37])).
% 0.17/0.48 fof(f503,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c7,multiply(sk_c1,X0))=multiply(sk_c1,multiply(identity,X0))|~spl0_7|~spl0_8)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f37,f502])).
% 0.17/0.48 fof(f504,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c7,multiply(sk_c1,X0))=multiply(sk_c1,X0)|~spl0_7|~spl0_8)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f503])).
% 0.17/0.48 fof(f526,plain,(
% 0.17/0.48 multiply(sk_c7,sk_c7)=multiply(sk_c1,sk_c8)|~spl0_8|~spl0_7),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f98,f504])).
% 0.17/0.48 fof(f527,plain,(
% 0.17/0.48 multiply(sk_c7,sk_c7)=sk_c7|~spl0_8|~spl0_7),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f98,f526])).
% 0.17/0.48 fof(f528,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c6,multiply(sk_c1,X0))=multiply(sk_c8,multiply(sk_c1,X0))|~spl0_0|~spl0_7|~spl0_8)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f504,f456])).
% 0.17/0.48 fof(f529,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c6,multiply(sk_c1,X0))=X0|~spl0_0|~spl0_7|~spl0_8)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f467,f528])).
% 0.17/0.48 fof(f537,plain,(
% 0.17/0.48 multiply(sk_c6,sk_c7)=multiply(sk_c8,sk_c7)|~spl0_0|~spl0_8|~spl0_7),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f527,f456])).
% 0.17/0.48 fof(f538,plain,(
% 0.17/0.48 multiply(sk_c6,sk_c7)=sk_c6|~spl0_0|~spl0_8|~spl0_7),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f71,f537])).
% 0.17/0.48 fof(f540,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_0|~spl0_8|~spl0_7)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f538,f37])).
% 0.17/0.48 fof(f564,plain,(
% 0.17/0.48 multiply(sk_c6,sk_c2)=multiply(sk_c6,identity)|~spl0_0|~spl0_8|~spl0_7|~spl0_10),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f291,f540])).
% 0.17/0.48 fof(f565,plain,(
% 0.17/0.48 multiply(sk_c8,identity)=multiply(sk_c6,identity)|~spl0_0|~spl0_8|~spl0_7|~spl0_10),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f469,f564])).
% 0.17/0.48 fof(f582,plain,(
% 0.17/0.48 sk_c6=sk_c7|~spl0_0|~spl0_15),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f71,f150])).
% 0.17/0.48 fof(f588,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c7,multiply(sk_c1,X0))=X0|~spl0_15|~spl0_0|~spl0_7|~spl0_8)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f582,f529])).
% 0.17/0.48 fof(f589,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c1,X0)=X0|~spl0_15|~spl0_0|~spl0_7|~spl0_8)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f504,f588])).
% 0.17/0.48 fof(f597,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_15|~spl0_0|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f582,f478])).
% 0.17/0.48 fof(f598,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c8,X0)|~spl0_15|~spl0_0|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f597,f324])).
% 0.17/0.48 fof(f601,plain,(
% 0.17/0.48 ~multiply(sk_c7,sk_c8)=sk_c7|~spl0_0|~spl0_15|spl0_1),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f582,f75])).
% 0.17/0.48 fof(f605,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,X0)|~spl0_15|~spl0_0|~spl0_8|~spl0_7)),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f589,f465])).
% 0.17/0.48 fof(f606,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c7,X0)=X0|~spl0_10|~spl0_15|~spl0_0|~spl0_8|~spl0_7)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f598,f605])).
% 0.17/0.48 fof(f607,plain,(
% 0.17/0.48 sk_c8=sk_c7|~spl0_15|~spl0_0|~spl0_8|~spl0_7),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f589,f98])).
% 0.17/0.48 fof(f618,plain,(
% 0.17/0.48 ~sk_c8=sk_c7|~spl0_10|~spl0_8|~spl0_7|~spl0_0|~spl0_15|spl0_1),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f606,f601])).
% 0.17/0.48 fof(f619,plain,(
% 0.17/0.48 ~sk_c8=sk_c8|~spl0_10|~spl0_8|~spl0_7|~spl0_0|~spl0_15|spl0_1),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f607,f618])).
% 0.17/0.48 fof(f620,plain,(
% 0.17/0.48 $false|~spl0_10|~spl0_8|~spl0_7|~spl0_0|~spl0_15|spl0_1),
% 0.17/0.48 inference(trivial_equality_resolution,[status(esa)],[f619])).
% 0.17/0.48 fof(f621,plain,(
% 0.17/0.48 ~spl0_10|~spl0_8|~spl0_7|~spl0_0|~spl0_15|spl0_1),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f620])).
% 0.17/0.48 fof(f633,plain,(
% 0.17/0.48 ~multiply(sk_c1,sk_c8)=sk_c7|~spl0_11|~spl0_8),
% 0.17/0.48 inference(resolution,[status(thm)],[f134,f107])).
% 0.17/0.48 fof(f634,plain,(
% 0.17/0.48 ~sk_c7=sk_c7|~spl0_7|~spl0_11|~spl0_8),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f98,f633])).
% 0.17/0.48 fof(f635,plain,(
% 0.17/0.48 $false|~spl0_7|~spl0_11|~spl0_8),
% 0.17/0.48 inference(trivial_equality_resolution,[status(esa)],[f634])).
% 0.17/0.48 fof(f636,plain,(
% 0.17/0.48 ~spl0_7|~spl0_11|~spl0_8),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f635])).
% 0.17/0.48 fof(f645,plain,(
% 0.17/0.48 identity=multiply(sk_c8,sk_c4)|~spl0_5|~spl0_6),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f359,f353])).
% 0.17/0.48 fof(f664,plain,(
% 0.17/0.48 multiply(sk_c6,sk_c4)=multiply(sk_c8,identity)|~spl0_4|~spl0_5|~spl0_1|~spl0_6),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f362,f296])).
% 0.17/0.48 fof(f669,plain,(
% 0.17/0.48 spl0_19 <=> sk_c8=sk_c6),
% 0.17/0.48 introduced(split_symbol_definition)).
% 0.17/0.48 fof(f671,plain,(
% 0.17/0.48 ~sk_c8=sk_c6|spl0_19),
% 0.17/0.48 inference(component_clause,[status(thm)],[f669])).
% 0.17/0.48 fof(f672,plain,(
% 0.17/0.48 ~sk_c8=sk_c6|~inverse(sk_c3)=sk_c7|~spl0_12|~spl0_2),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f78,f137])).
% 0.17/0.48 fof(f673,plain,(
% 0.17/0.48 ~spl0_19|~spl0_3|~spl0_12|~spl0_2),
% 0.17/0.48 inference(split_clause,[status(thm)],[f672,f669,f81,f136,f77])).
% 0.17/0.48 fof(f727,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c8,X0)|~spl0_2|~spl0_4|~spl0_6|~spl0_5|~spl0_3)),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f399,f398])).
% 0.17/0.48 fof(f754,plain,(
% 0.17/0.48 identity=sk_c4|~spl0_2|~spl0_4|~spl0_3|~spl0_5|~spl0_6),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f727,f645])).
% 0.17/0.48 fof(f756,plain,(
% 0.17/0.48 sk_c5=sk_c8|~spl0_2|~spl0_3|~spl0_6|~spl0_5|~spl0_4),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f727,f410])).
% 0.17/0.48 fof(f757,plain,(
% 0.17/0.48 sk_c6=sk_c8|~spl0_3|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f727,f307])).
% 0.17/0.48 fof(f788,plain,(
% 0.17/0.48 multiply(sk_c5,sk_c8)=multiply(identity,sk_c6)|~spl0_3|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f754,f327])).
% 0.17/0.48 fof(f789,plain,(
% 0.17/0.48 multiply(sk_c8,sk_c8)=multiply(identity,sk_c6)|~spl0_3|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f756,f788])).
% 0.17/0.48 fof(f790,plain,(
% 0.17/0.48 sk_c8=multiply(identity,sk_c6)|~spl0_3|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f727,f789])).
% 0.17/0.48 fof(f791,plain,(
% 0.17/0.48 sk_c8=sk_c6|~spl0_3|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f790])).
% 0.17/0.48 fof(f800,plain,(
% 0.17/0.48 ~sk_c8=sk_c8|~spl0_3|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1|spl0_19),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f791,f671])).
% 0.17/0.48 fof(f801,plain,(
% 0.17/0.48 $false|~spl0_3|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1|spl0_19),
% 0.17/0.48 inference(trivial_equality_resolution,[status(esa)],[f800])).
% 0.17/0.48 fof(f802,plain,(
% 0.17/0.48 ~spl0_3|~spl0_6|~spl0_2|~spl0_5|~spl0_4|~spl0_1|spl0_19),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f801])).
% 0.17/0.48 fof(f814,plain,(
% 0.17/0.48 ![X0]: (multiply(multiply(sk_c8,identity),X0)=multiply(sk_c2,multiply(identity,X0))|~spl0_0|~spl0_9|~spl0_10)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f482,f37])).
% 0.17/0.48 fof(f815,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,multiply(identity,X0))=multiply(sk_c2,multiply(identity,X0))|~spl0_0|~spl0_9|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f37,f814])).
% 0.17/0.48 fof(f816,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c2,multiply(identity,X0))|~spl0_0|~spl0_9|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f815])).
% 0.17/0.48 fof(f817,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c2,X0)|~spl0_0|~spl0_9|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f816])).
% 0.17/0.48 fof(f820,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c6,multiply(sk_c8,X0))|~spl0_9|~spl0_0|~spl0_10)),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f817,f478])).
% 0.17/0.48 fof(f821,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c7,multiply(sk_c8,X0))|~spl0_0|~spl0_9|~spl0_10)),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f817,f324])).
% 0.17/0.48 fof(f824,plain,(
% 0.17/0.48 ![X0]: (multiply(multiply(sk_c8,identity),X0)=multiply(sk_c6,multiply(identity,X0))|~spl0_0|~spl0_8|~spl0_7|~spl0_10)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f565,f37])).
% 0.17/0.48 fof(f825,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,multiply(identity,X0))=multiply(sk_c6,multiply(identity,X0))|~spl0_0|~spl0_8|~spl0_7|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f37,f824])).
% 0.17/0.48 fof(f826,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c6,multiply(identity,X0))|~spl0_0|~spl0_8|~spl0_7|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f825])).
% 0.17/0.48 fof(f827,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c6,X0)|~spl0_0|~spl0_8|~spl0_7|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f35,f826])).
% 0.17/0.48 fof(f830,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10)),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f827,f820])).
% 0.17/0.48 fof(f879,plain,(
% 0.17/0.48 ![X0]: (multiply(sk_c7,multiply(sk_c8,X0))=multiply(sk_c1,multiply(sk_c8,X0))|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10)),
% 0.17/0.48 inference(paramodulation,[status(thm)],[f830,f465])).
% 0.17/0.48 fof(f880,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c1,multiply(sk_c8,X0))|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f821,f879])).
% 0.17/0.48 fof(f881,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10)),
% 0.17/0.48 inference(forward_demodulation,[status(thm)],[f465,f880])).
% 0.17/0.48 fof(f889,plain,(
% 0.17/0.48 sk_c2=identity|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f881,f291])).
% 0.17/0.48 fof(f893,plain,(
% 0.17/0.48 ![X0]: (X0=multiply(sk_c8,X0)|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_10)),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f881,f821])).
% 0.17/0.48 fof(f896,plain,(
% 0.17/0.48 inverse(identity)=sk_c7|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_10),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f889,f125])).
% 0.17/0.48 fof(f897,plain,(
% 0.17/0.48 sk_c1=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8),
% 0.17/0.48 inference(backward_demodulation,[status(thm)],[f893,f459])).
% 0.17/0.48 fof(f898,plain,(
% 0.17/0.49 sk_c7=sk_c6|~spl0_8|~spl0_7|~spl0_9|~spl0_10|~spl0_0),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f893,f71])).
% 0.17/0.49 fof(f899,plain,(
% 0.17/0.49 $false|spl0_15|~spl0_8|~spl0_7|~spl0_9|~spl0_10|~spl0_0),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f898,f454])).
% 0.17/0.49 fof(f900,plain,(
% 0.17/0.49 spl0_15|~spl0_8|~spl0_7|~spl0_9|~spl0_10|~spl0_0),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f899])).
% 0.17/0.49 fof(f906,plain,(
% 0.17/0.49 inverse(identity)=sk_c8|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f897,f107])).
% 0.17/0.49 fof(f907,plain,(
% 0.17/0.49 sk_c7=sk_c8|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f896,f906])).
% 0.17/0.49 fof(f941,plain,(
% 0.17/0.49 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c7|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8|~spl0_13)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f907,f140])).
% 0.17/0.49 fof(f942,plain,(
% 0.17/0.49 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8|~spl0_13)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f907,f941])).
% 0.17/0.49 fof(f955,plain,(
% 0.17/0.49 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f293,f293])).
% 0.17/0.49 fof(f956,plain,(
% 0.17/0.49 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f36,f293])).
% 0.17/0.49 fof(f957,plain,(
% 0.17/0.49 ![X0]: (X0=multiply(X0,identity))),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f955,f956])).
% 0.17/0.49 fof(f962,plain,(
% 0.17/0.49 sk_c8=identity|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_10),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f893,f957])).
% 0.17/0.49 fof(f963,plain,(
% 0.17/0.49 inverse(identity)=identity),
% 0.17/0.49 inference(paramodulation,[status(thm)],[f36,f957])).
% 0.17/0.49 fof(f971,plain,(
% 0.17/0.49 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8|~spl0_13)),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f962,f942])).
% 0.17/0.49 fof(f972,plain,(
% 0.17/0.49 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8|~spl0_13)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f962,f971])).
% 0.17/0.49 fof(f973,plain,(
% 0.17/0.49 ![X0]: (~X0=sk_c8|~inverse(X0)=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8|~spl0_13)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f957,f972])).
% 0.17/0.49 fof(f974,plain,(
% 0.17/0.49 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8|~spl0_13)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f962,f973])).
% 0.17/0.49 fof(f975,plain,(
% 0.17/0.49 ~inverse(identity)=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8|~spl0_13),
% 0.17/0.49 inference(destructive_equality_resolution,[status(esa)],[f974])).
% 0.17/0.49 fof(f976,plain,(
% 0.17/0.49 $false|~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8|~spl0_13),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f975,f963])).
% 0.17/0.49 fof(f977,plain,(
% 0.17/0.49 ~spl0_7|~spl0_0|~spl0_9|~spl0_10|~spl0_8|~spl0_13),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f976])).
% 0.17/0.49 fof(f988,plain,(
% 0.17/0.49 multiply(sk_c8,sk_c4)=multiply(sk_c8,identity)|~spl0_3|~spl0_2|~spl0_4|~spl0_5|~spl0_1|~spl0_6),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f757,f664])).
% 0.17/0.49 fof(f989,plain,(
% 0.17/0.49 sk_c4=multiply(sk_c8,identity)|~spl0_3|~spl0_2|~spl0_4|~spl0_5|~spl0_1|~spl0_6),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f727,f988])).
% 0.17/0.49 fof(f990,plain,(
% 0.17/0.49 identity=multiply(sk_c8,identity)|~spl0_3|~spl0_2|~spl0_4|~spl0_5|~spl0_1|~spl0_6),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f754,f989])).
% 0.17/0.49 fof(f991,plain,(
% 0.17/0.49 identity=sk_c8|~spl0_3|~spl0_2|~spl0_4|~spl0_5|~spl0_1|~spl0_6),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f957,f990])).
% 0.17/0.49 fof(f1155,plain,(
% 0.17/0.49 ~sk_c8=sk_c8|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_18),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f756,f404])).
% 0.17/0.49 fof(f1156,plain,(
% 0.17/0.49 ~identity=sk_c8|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_18),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f991,f1155])).
% 0.17/0.49 fof(f1157,plain,(
% 0.17/0.49 ~identity=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_18),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f991,f1156])).
% 0.17/0.49 fof(f1158,plain,(
% 0.17/0.49 $false|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_18),
% 0.17/0.49 inference(trivial_equality_resolution,[status(esa)],[f1157])).
% 0.17/0.49 fof(f1159,plain,(
% 0.17/0.49 ~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_18),
% 0.17/0.49 inference(contradiction_clause,[status(thm)],[f1158])).
% 0.17/0.49 fof(f1160,plain,(
% 0.17/0.49 $false),
% 0.17/0.49 inference(sat_refutation,[status(thm)],[f76,f80,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,f148,f153,f158,f163,f171,f176,f409,f621,f636,f673,f802,f900,f977,f1159])).
% 0.17/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.50 % Elapsed time: 0.147538 seconds
% 0.17/0.50 % CPU time: 0.717349 seconds
% 0.17/0.50 % Memory used: 67.072 MB
%------------------------------------------------------------------------------