TSTP Solution File: GRP357-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP357-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:11:27 EDT 2023
% Result : Unsatisfiable 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : GRP357-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n031.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:51:37 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.36 fof(f1,axiom,(
% 0.11/0.36 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f2,axiom,(
% 0.11/0.36 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f3,axiom,(
% 0.11/0.36 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f4,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f5,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f6,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f7,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f8,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f9,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f10,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f11,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f12,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f13,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f14,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f15,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f16,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f17,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f18,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f19,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f20,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f21,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f22,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f23,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c1) = sk_c2| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f24,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c1) = sk_c2| inverse(sk_c3) = sk_c8 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f25,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f26,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f27,negated_conjecture,(
% 0.11/0.36 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f28,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f29,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f30,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f31,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f32,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f33,negated_conjecture,(
% 0.11/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f34,negated_conjecture,(
% 0.11/0.36 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c6) != sk_c8| inverse(sk_c8) != sk_c6| multiply(X3,X4) != sk_c8| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c8| 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 ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f35,plain,(
% 0.11/0.36 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.11/0.36 fof(f36,plain,(
% 0.11/0.36 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.11/0.36 fof(f37,plain,(
% 0.11/0.36 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.36 fof(f38,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.11/0.36 fof(f39,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.11/0.36 fof(f40,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.11/0.36 fof(f41,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.11/0.36 fof(f42,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.11/0.36 fof(f43,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.11/0.36 fof(f44,plain,(
% 0.11/0.36 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.11/0.36 fof(f45,plain,(
% 0.11/0.36 inverse(sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.11/0.36 fof(f46,plain,(
% 0.11/0.36 inverse(sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.36 fof(f47,plain,(
% 0.11/0.36 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.11/0.36 fof(f48,plain,(
% 0.11/0.36 inverse(sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.11/0.36 fof(f49,plain,(
% 0.11/0.36 inverse(sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.11/0.36 fof(f50,plain,(
% 0.11/0.36 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.11/0.36 fof(f51,plain,(
% 0.11/0.36 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.11/0.36 fof(f52,plain,(
% 0.11/0.36 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.11/0.36 fof(f53,plain,(
% 0.11/0.36 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.11/0.36 fof(f54,plain,(
% 0.11/0.36 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f20])).
% 0.11/0.36 fof(f55,plain,(
% 0.11/0.36 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.11/0.36 fof(f56,plain,(
% 0.11/0.36 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c7)=sk_c6),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f22])).
% 0.11/0.36 fof(f57,plain,(
% 0.11/0.36 inverse(sk_c1)=sk_c2|multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.11/0.36 fof(f58,plain,(
% 0.11/0.36 inverse(sk_c1)=sk_c2|inverse(sk_c3)=sk_c8),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f24])).
% 0.11/0.36 fof(f59,plain,(
% 0.11/0.36 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.11/0.36 fof(f60,plain,(
% 0.11/0.36 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f26])).
% 0.11/0.36 fof(f61,plain,(
% 0.11/0.36 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f27])).
% 0.11/0.36 fof(f62,plain,(
% 0.11/0.36 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f28])).
% 0.11/0.36 fof(f63,plain,(
% 0.11/0.36 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f29])).
% 0.11/0.36 fof(f64,plain,(
% 0.11/0.36 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f30])).
% 0.11/0.36 fof(f65,plain,(
% 0.11/0.36 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.11/0.36 fof(f66,plain,(
% 0.11/0.36 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.36 fof(f67,plain,(
% 0.11/0.36 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f33])).
% 0.11/0.36 fof(f68,plain,(
% 0.11/0.36 ![X5]: ((![X2]: (((![X1]: ((((![X4]: ((![X3]: (((~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6)|~multiply(X3,X4)=sk_c8)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c8))|~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)),
% 0.11/0.36 inference(miniscoping,[status(esa)],[f34])).
% 0.11/0.36 fof(f69,plain,(
% 0.11/0.36 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6|~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~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)),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f68])).
% 0.11/0.36 fof(f70,plain,(
% 0.11/0.36 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f71,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c6)=sk_c8|~spl0_0),
% 0.11/0.36 inference(component_clause,[status(thm)],[f70])).
% 0.11/0.36 fof(f72,plain,(
% 0.11/0.36 ~multiply(sk_c7,sk_c6)=sk_c8|spl0_0),
% 0.11/0.36 inference(component_clause,[status(thm)],[f70])).
% 0.11/0.36 fof(f73,plain,(
% 0.11/0.36 spl0_1 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f74,plain,(
% 0.11/0.36 multiply(sk_c8,sk_c7)=sk_c6|~spl0_1),
% 0.11/0.36 inference(component_clause,[status(thm)],[f73])).
% 0.11/0.36 fof(f75,plain,(
% 0.11/0.36 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_1),
% 0.11/0.36 inference(component_clause,[status(thm)],[f73])).
% 0.11/0.36 fof(f76,plain,(
% 0.11/0.36 spl0_0|spl0_1),
% 0.11/0.36 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.11/0.36 fof(f77,plain,(
% 0.11/0.36 spl0_2 <=> multiply(sk_c3,sk_c8)=sk_c7),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f78,plain,(
% 0.11/0.36 multiply(sk_c3,sk_c8)=sk_c7|~spl0_2),
% 0.11/0.36 inference(component_clause,[status(thm)],[f77])).
% 0.11/0.36 fof(f80,plain,(
% 0.11/0.36 spl0_0|spl0_2),
% 0.11/0.36 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.11/0.36 fof(f81,plain,(
% 0.11/0.36 spl0_3 <=> inverse(sk_c3)=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f82,plain,(
% 0.11/0.36 inverse(sk_c3)=sk_c8|~spl0_3),
% 0.11/0.36 inference(component_clause,[status(thm)],[f81])).
% 0.11/0.36 fof(f84,plain,(
% 0.11/0.36 spl0_0|spl0_3),
% 0.11/0.36 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.11/0.36 fof(f85,plain,(
% 0.11/0.36 spl0_4 <=> multiply(sk_c8,sk_c5)=sk_c7),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f86,plain,(
% 0.11/0.36 multiply(sk_c8,sk_c5)=sk_c7|~spl0_4),
% 0.11/0.36 inference(component_clause,[status(thm)],[f85])).
% 0.11/0.36 fof(f88,plain,(
% 0.11/0.36 spl0_0|spl0_4),
% 0.11/0.36 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.11/0.36 fof(f89,plain,(
% 0.11/0.36 spl0_5 <=> multiply(sk_c4,sk_c8)=sk_c5),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f90,plain,(
% 0.11/0.36 multiply(sk_c4,sk_c8)=sk_c5|~spl0_5),
% 0.11/0.36 inference(component_clause,[status(thm)],[f89])).
% 0.11/0.36 fof(f92,plain,(
% 0.11/0.36 spl0_0|spl0_5),
% 0.11/0.36 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.11/0.36 fof(f93,plain,(
% 0.11/0.36 spl0_6 <=> inverse(sk_c4)=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f94,plain,(
% 0.11/0.36 inverse(sk_c4)=sk_c8|~spl0_6),
% 0.11/0.36 inference(component_clause,[status(thm)],[f93])).
% 0.11/0.36 fof(f96,plain,(
% 0.11/0.36 spl0_0|spl0_6),
% 0.11/0.36 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.11/0.36 fof(f97,plain,(
% 0.11/0.36 spl0_7 <=> inverse(sk_c8)=sk_c6),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f98,plain,(
% 0.11/0.36 inverse(sk_c8)=sk_c6|~spl0_7),
% 0.11/0.36 inference(component_clause,[status(thm)],[f97])).
% 0.11/0.36 fof(f99,plain,(
% 0.11/0.36 ~inverse(sk_c8)=sk_c6|spl0_7),
% 0.11/0.36 inference(component_clause,[status(thm)],[f97])).
% 0.11/0.36 fof(f100,plain,(
% 0.11/0.36 spl0_7|spl0_1),
% 0.11/0.36 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.11/0.36 fof(f101,plain,(
% 0.11/0.36 spl0_7|spl0_2),
% 0.11/0.36 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.11/0.36 fof(f102,plain,(
% 0.11/0.36 spl0_7|spl0_3),
% 0.11/0.36 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.11/0.36 fof(f103,plain,(
% 0.11/0.36 spl0_7|spl0_4),
% 0.11/0.36 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.11/0.36 fof(f104,plain,(
% 0.11/0.36 spl0_7|spl0_5),
% 0.11/0.36 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.11/0.36 fof(f105,plain,(
% 0.11/0.36 spl0_7|spl0_6),
% 0.11/0.36 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.11/0.36 fof(f106,plain,(
% 0.11/0.36 spl0_8 <=> multiply(sk_c1,sk_c2)=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f107,plain,(
% 0.11/0.36 multiply(sk_c1,sk_c2)=sk_c8|~spl0_8),
% 0.11/0.36 inference(component_clause,[status(thm)],[f106])).
% 0.11/0.36 fof(f109,plain,(
% 0.11/0.36 spl0_8|spl0_1),
% 0.11/0.36 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.11/0.36 fof(f110,plain,(
% 0.11/0.36 spl0_8|spl0_2),
% 0.11/0.36 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.11/0.36 fof(f111,plain,(
% 0.11/0.36 spl0_8|spl0_3),
% 0.11/0.36 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.11/0.36 fof(f112,plain,(
% 0.11/0.36 spl0_8|spl0_4),
% 0.11/0.36 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.11/0.36 fof(f113,plain,(
% 0.11/0.36 spl0_8|spl0_5),
% 0.11/0.36 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.11/0.36 fof(f114,plain,(
% 0.11/0.36 spl0_8|spl0_6),
% 0.11/0.36 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.11/0.36 fof(f115,plain,(
% 0.11/0.36 spl0_9 <=> inverse(sk_c1)=sk_c2),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f116,plain,(
% 0.11/0.36 inverse(sk_c1)=sk_c2|~spl0_9),
% 0.11/0.36 inference(component_clause,[status(thm)],[f115])).
% 0.11/0.36 fof(f118,plain,(
% 0.11/0.36 spl0_9|spl0_1),
% 0.11/0.36 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.11/0.36 fof(f119,plain,(
% 0.11/0.36 spl0_9|spl0_2),
% 0.11/0.36 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.11/0.36 fof(f120,plain,(
% 0.11/0.36 spl0_9|spl0_3),
% 0.11/0.36 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.11/0.36 fof(f121,plain,(
% 0.11/0.36 spl0_9|spl0_4),
% 0.11/0.36 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.11/0.36 fof(f122,plain,(
% 0.11/0.36 spl0_9|spl0_5),
% 0.11/0.36 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.11/0.36 fof(f123,plain,(
% 0.11/0.36 spl0_9|spl0_6),
% 0.11/0.36 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.11/0.36 fof(f124,plain,(
% 0.11/0.36 spl0_10 <=> multiply(sk_c2,sk_c7)=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f127,plain,(
% 0.11/0.36 spl0_10|spl0_1),
% 0.11/0.36 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.11/0.36 fof(f128,plain,(
% 0.11/0.36 spl0_10|spl0_2),
% 0.11/0.36 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.11/0.36 fof(f129,plain,(
% 0.11/0.36 spl0_10|spl0_3),
% 0.11/0.36 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.11/0.36 fof(f130,plain,(
% 0.11/0.36 spl0_10|spl0_4),
% 0.11/0.36 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.11/0.36 fof(f131,plain,(
% 0.11/0.36 spl0_10|spl0_5),
% 0.11/0.36 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.11/0.36 fof(f132,plain,(
% 0.11/0.36 spl0_10|spl0_6),
% 0.11/0.36 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.11/0.36 fof(f133,plain,(
% 0.11/0.36 spl0_11 <=> ~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f134,plain,(
% 0.11/0.36 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_11)),
% 0.11/0.36 inference(component_clause,[status(thm)],[f133])).
% 0.11/0.36 fof(f136,plain,(
% 0.11/0.36 spl0_12 <=> ~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f137,plain,(
% 0.11/0.36 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 0.11/0.36 inference(component_clause,[status(thm)],[f136])).
% 0.11/0.36 fof(f139,plain,(
% 0.11/0.36 spl0_13 <=> ~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f140,plain,(
% 0.11/0.36 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_13)),
% 0.11/0.36 inference(component_clause,[status(thm)],[f139])).
% 0.11/0.36 fof(f142,plain,(
% 0.11/0.36 ~spl0_0|~spl0_7|spl0_11|~spl0_1|spl0_12|spl0_13),
% 0.11/0.36 inference(split_clause,[status(thm)],[f69,f70,f97,f133,f73,f136,f139])).
% 0.11/0.36 fof(f143,plain,(
% 0.11/0.36 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.11/0.36 inference(destructive_equality_resolution,[status(esa)],[f140])).
% 0.11/0.36 fof(f144,plain,(
% 0.11/0.36 spl0_14 <=> multiply(sk_c8,sk_c7)=sk_c7),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f147,plain,(
% 0.11/0.36 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~spl0_13|~spl0_2),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f78,f143])).
% 0.11/0.36 fof(f148,plain,(
% 0.11/0.36 ~spl0_14|~spl0_3|~spl0_13|~spl0_2),
% 0.11/0.36 inference(split_clause,[status(thm)],[f147,f144,f81,f139,f77])).
% 0.11/0.36 fof(f149,plain,(
% 0.11/0.36 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~spl0_13|~spl0_5),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f90,f143])).
% 0.11/0.36 fof(f150,plain,(
% 0.11/0.36 ~spl0_4|~spl0_6|~spl0_13|~spl0_5),
% 0.11/0.36 inference(split_clause,[status(thm)],[f149,f85,f93,f139,f89])).
% 0.11/0.36 fof(f151,plain,(
% 0.11/0.36 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_11)),
% 0.11/0.36 inference(destructive_equality_resolution,[status(esa)],[f134])).
% 0.11/0.36 fof(f152,plain,(
% 0.11/0.36 spl0_15 <=> multiply(sk_c8,inverse(sk_c8))=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f154,plain,(
% 0.11/0.36 ~multiply(sk_c8,inverse(sk_c8))=sk_c8|spl0_15),
% 0.11/0.36 inference(component_clause,[status(thm)],[f152])).
% 0.11/0.36 fof(f155,plain,(
% 0.11/0.36 spl0_16 <=> multiply(sk_c6,sk_c7)=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f157,plain,(
% 0.11/0.36 ~multiply(sk_c6,sk_c7)=sk_c8|spl0_16),
% 0.11/0.36 inference(component_clause,[status(thm)],[f155])).
% 0.11/0.36 fof(f158,plain,(
% 0.11/0.36 ~multiply(sk_c8,inverse(sk_c8))=sk_c8|~multiply(sk_c6,sk_c7)=sk_c8|~spl0_11|~spl0_7),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f98,f151])).
% 0.11/0.36 fof(f159,plain,(
% 0.11/0.36 ~spl0_15|~spl0_16|~spl0_11|~spl0_7),
% 0.11/0.36 inference(split_clause,[status(thm)],[f158,f152,f155,f133,f97])).
% 0.11/0.36 fof(f160,plain,(
% 0.11/0.36 spl0_17 <=> multiply(sk_c1,inverse(sk_c1))=sk_c8),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f161,plain,(
% 0.11/0.36 multiply(sk_c1,inverse(sk_c1))=sk_c8|~spl0_17),
% 0.11/0.36 inference(component_clause,[status(thm)],[f160])).
% 0.11/0.36 fof(f162,plain,(
% 0.11/0.36 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|spl0_17),
% 0.11/0.36 inference(component_clause,[status(thm)],[f160])).
% 0.11/0.36 fof(f163,plain,(
% 0.11/0.36 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c2,sk_c7)=sk_c8|~spl0_11|~spl0_9),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f116,f151])).
% 0.11/0.36 fof(f164,plain,(
% 0.11/0.36 ~spl0_17|~spl0_10|~spl0_11|~spl0_9),
% 0.11/0.36 inference(split_clause,[status(thm)],[f163,f160,f124,f133,f115])).
% 0.11/0.36 fof(f165,plain,(
% 0.11/0.36 ~multiply(sk_c1,sk_c2)=sk_c8|~spl0_9|spl0_17),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f116,f162])).
% 0.11/0.36 fof(f166,plain,(
% 0.11/0.36 ~sk_c8=sk_c8|~spl0_8|~spl0_9|spl0_17),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f107,f165])).
% 0.11/0.36 fof(f167,plain,(
% 0.11/0.36 $false|~spl0_8|~spl0_9|spl0_17),
% 0.11/0.36 inference(trivial_equality_resolution,[status(esa)],[f166])).
% 0.11/0.36 fof(f168,plain,(
% 0.11/0.36 ~spl0_8|~spl0_9|spl0_17),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f167])).
% 0.11/0.36 fof(f170,plain,(
% 0.11/0.36 ~inverse(sk_c3)=sk_c8|~spl0_2|~spl0_12),
% 0.11/0.36 inference(resolution,[status(thm)],[f78,f137])).
% 0.11/0.36 fof(f171,plain,(
% 0.11/0.36 ~sk_c8=sk_c8|~spl0_3|~spl0_2|~spl0_12),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f82,f170])).
% 0.11/0.36 fof(f172,plain,(
% 0.11/0.36 $false|~spl0_3|~spl0_2|~spl0_12),
% 0.11/0.36 inference(trivial_equality_resolution,[status(esa)],[f171])).
% 0.11/0.36 fof(f173,plain,(
% 0.11/0.36 ~spl0_3|~spl0_2|~spl0_12),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f172])).
% 0.11/0.36 fof(f177,plain,(
% 0.11/0.36 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(sk_c8,X0))|~spl0_5)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.11/0.36 fof(f178,plain,(
% 0.11/0.36 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c8,X0))|~spl0_2)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f78,f37])).
% 0.11/0.36 fof(f179,plain,(
% 0.11/0.36 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_4)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f86,f37])).
% 0.11/0.36 fof(f183,plain,(
% 0.11/0.36 multiply(sk_c5,sk_c7)=multiply(sk_c4,sk_c6)|~spl0_5|~spl0_1),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f74,f177])).
% 0.11/0.36 fof(f230,plain,(
% 0.11/0.36 multiply(sk_c8,sk_c4)=identity|~spl0_6),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.11/0.36 fof(f231,plain,(
% 0.11/0.36 multiply(sk_c8,sk_c3)=identity|~spl0_3),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.11/0.36 fof(f232,plain,(
% 0.11/0.36 multiply(sk_c2,sk_c1)=identity|~spl0_9),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f116,f36])).
% 0.11/0.36 fof(f233,plain,(
% 0.11/0.36 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.11/0.36 fof(f234,plain,(
% 0.11/0.36 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f35,f233])).
% 0.11/0.36 fof(f235,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c4)=multiply(sk_c3,identity)|~spl0_2|~spl0_6),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f230,f178])).
% 0.11/0.36 fof(f237,plain,(
% 0.11/0.36 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c4,X0))|~spl0_6)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f230,f37])).
% 0.11/0.36 fof(f238,plain,(
% 0.11/0.36 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~spl0_6)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f35,f237])).
% 0.11/0.36 fof(f239,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c3)=multiply(sk_c3,identity)|~spl0_2|~spl0_3),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f231,f178])).
% 0.11/0.36 fof(f240,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c3)=multiply(sk_c7,sk_c4)|~spl0_6|~spl0_2|~spl0_3),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f235,f239])).
% 0.11/0.36 fof(f249,plain,(
% 0.11/0.36 ![X0]: (multiply(identity,X0)=multiply(sk_c2,multiply(sk_c1,X0))|~spl0_9)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f232,f37])).
% 0.11/0.36 fof(f250,plain,(
% 0.11/0.36 ![X0]: (X0=multiply(sk_c2,multiply(sk_c1,X0))|~spl0_9)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f35,f249])).
% 0.11/0.36 fof(f260,plain,(
% 0.11/0.36 ![X0]: (multiply(multiply(sk_c7,sk_c3),X0)=multiply(sk_c7,multiply(sk_c4,X0))|~spl0_6|~spl0_2|~spl0_3)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f240,f37])).
% 0.11/0.36 fof(f261,plain,(
% 0.11/0.36 ![X0]: (multiply(sk_c7,multiply(sk_c3,X0))=multiply(sk_c7,multiply(sk_c4,X0))|~spl0_6|~spl0_2|~spl0_3)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f37,f260])).
% 0.11/0.36 fof(f272,plain,(
% 0.11/0.36 sk_c6=multiply(sk_c8,multiply(sk_c5,sk_c7))|~spl0_6|~spl0_5|~spl0_1),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f183,f238])).
% 0.11/0.36 fof(f273,plain,(
% 0.11/0.36 sk_c6=multiply(sk_c7,sk_c7)|~spl0_4|~spl0_6|~spl0_5|~spl0_1),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f179,f272])).
% 0.11/0.36 fof(f280,plain,(
% 0.11/0.36 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_6|~spl0_5)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f177,f238])).
% 0.11/0.36 fof(f281,plain,(
% 0.11/0.36 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c7,X0)|~spl0_4|~spl0_6|~spl0_5)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f179,f280])).
% 0.11/0.36 fof(f282,plain,(
% 0.11/0.36 sk_c8=multiply(sk_c8,sk_c5)|~spl0_6|~spl0_5),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f90,f238])).
% 0.11/0.36 fof(f283,plain,(
% 0.11/0.36 sk_c8=sk_c7|~spl0_4|~spl0_6|~spl0_5),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f86,f282])).
% 0.11/0.36 fof(f284,plain,(
% 0.11/0.36 ![X0]: (multiply(sk_c7,multiply(sk_c4,X0))=multiply(sk_c3,X0)|~spl0_2|~spl0_6)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f238,f178])).
% 0.11/0.36 fof(f285,plain,(
% 0.11/0.36 ![X0]: (multiply(sk_c7,multiply(sk_c3,X0))=multiply(sk_c3,X0)|~spl0_3|~spl0_2|~spl0_6)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f261,f284])).
% 0.11/0.36 fof(f301,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c3)=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f281,f231])).
% 0.11/0.36 fof(f304,plain,(
% 0.11/0.36 ![X0]: (X0=multiply(sk_c7,multiply(sk_c4,X0))|~spl0_4|~spl0_5|~spl0_6)),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f281,f238])).
% 0.11/0.36 fof(f305,plain,(
% 0.11/0.36 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_2|~spl0_3|~spl0_4|~spl0_5|~spl0_6)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f261,f304])).
% 0.11/0.36 fof(f306,plain,(
% 0.11/0.36 ![X0]: (X0=multiply(sk_c3,X0)|~spl0_2|~spl0_3|~spl0_4|~spl0_5|~spl0_6)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f285,f305])).
% 0.11/0.36 fof(f319,plain,(
% 0.11/0.36 ~multiply(sk_c7,sk_c6)=sk_c7|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f283,f72])).
% 0.11/0.36 fof(f353,plain,(
% 0.11/0.36 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_3)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f301,f37])).
% 0.11/0.36 fof(f354,plain,(
% 0.11/0.36 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_3)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f35,f353])).
% 0.11/0.36 fof(f355,plain,(
% 0.11/0.36 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_2|~spl0_4|~spl0_6|~spl0_5|~spl0_3)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f306,f354])).
% 0.11/0.36 fof(f358,plain,(
% 0.11/0.36 sk_c6=sk_c7|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_1),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f355,f273])).
% 0.11/0.36 fof(f359,plain,(
% 0.11/0.36 ~sk_c6=sk_c7|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f355,f319])).
% 0.11/0.36 fof(f360,plain,(
% 0.11/0.36 ~sk_c7=sk_c7|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f358,f359])).
% 0.11/0.36 fof(f361,plain,(
% 0.11/0.36 $false|~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.11/0.36 inference(trivial_equality_resolution,[status(esa)],[f360])).
% 0.11/0.36 fof(f362,plain,(
% 0.11/0.36 ~spl0_1|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f361])).
% 0.11/0.36 fof(f401,plain,(
% 0.11/0.36 ~inverse(sk_c7)=sk_c6|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f283,f99])).
% 0.11/0.36 fof(f402,plain,(
% 0.11/0.36 ~inverse(sk_c7)=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f358,f401])).
% 0.11/0.36 fof(f408,plain,(
% 0.11/0.36 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f234,f234])).
% 0.11/0.36 fof(f409,plain,(
% 0.11/0.36 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f36,f234])).
% 0.11/0.36 fof(f410,plain,(
% 0.11/0.36 ![X0]: (X0=multiply(X0,identity))),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f408,f409])).
% 0.11/0.36 fof(f413,plain,(
% 0.11/0.36 ![X0]: (multiply(sk_c1,X0)=multiply(inverse(sk_c2),X0)|~spl0_9)),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f250,f234])).
% 0.11/0.36 fof(f419,plain,(
% 0.11/0.36 multiply(sk_c1,sk_c2)=identity|~spl0_9),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f36,f413])).
% 0.11/0.36 fof(f437,plain,(
% 0.11/0.36 inverse(identity)=identity),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f36,f410])).
% 0.11/0.36 fof(f462,plain,(
% 0.11/0.36 multiply(sk_c1,sk_c2)=sk_c8|~spl0_9|~spl0_17),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f116,f161])).
% 0.11/0.36 fof(f463,plain,(
% 0.11/0.36 identity=sk_c8|~spl0_9|~spl0_17),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f419,f462])).
% 0.11/0.36 fof(f465,plain,(
% 0.11/0.36 ![X0]: (~multiply(identity,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_9|~spl0_17|~spl0_13)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f463,f143])).
% 0.11/0.36 fof(f466,plain,(
% 0.11/0.36 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_9|~spl0_17|~spl0_13)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f35,f465])).
% 0.11/0.36 fof(f467,plain,(
% 0.11/0.36 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_9|~spl0_17|~spl0_13)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f463,f466])).
% 0.11/0.36 fof(f468,plain,(
% 0.11/0.36 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c8|~spl0_9|~spl0_17|~spl0_13)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f410,f467])).
% 0.11/0.36 fof(f469,plain,(
% 0.11/0.36 ![X0]: (~X0=sk_c7|~inverse(X0)=identity|~spl0_9|~spl0_17|~spl0_13)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f463,f468])).
% 0.11/0.36 fof(f470,plain,(
% 0.11/0.36 ~inverse(sk_c7)=identity|~spl0_9|~spl0_17|~spl0_13),
% 0.11/0.36 inference(destructive_equality_resolution,[status(esa)],[f469])).
% 0.11/0.36 fof(f471,plain,(
% 0.11/0.36 inverse(identity)=sk_c6|~spl0_9|~spl0_17|~spl0_7),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f463,f98])).
% 0.11/0.36 fof(f472,plain,(
% 0.11/0.36 identity=sk_c6|~spl0_9|~spl0_17|~spl0_7),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f437,f471])).
% 0.11/0.36 fof(f496,plain,(
% 0.11/0.36 multiply(sk_c7,sk_c6)=identity|~spl0_9|~spl0_17|~spl0_0),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f463,f71])).
% 0.11/0.36 fof(f497,plain,(
% 0.11/0.36 multiply(sk_c7,identity)=identity|~spl0_7|~spl0_9|~spl0_17|~spl0_0),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f472,f496])).
% 0.11/0.36 fof(f498,plain,(
% 0.11/0.36 sk_c7=identity|~spl0_7|~spl0_9|~spl0_17|~spl0_0),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f410,f497])).
% 0.11/0.36 fof(f501,plain,(
% 0.11/0.36 ~multiply(identity,sk_c7)=sk_c6|~spl0_9|~spl0_17|spl0_1),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f463,f75])).
% 0.11/0.36 fof(f502,plain,(
% 0.11/0.36 ~sk_c7=sk_c6|~spl0_9|~spl0_17|spl0_1),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f35,f501])).
% 0.11/0.36 fof(f503,plain,(
% 0.11/0.36 ~sk_c7=identity|~spl0_7|~spl0_9|~spl0_17|spl0_1),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f472,f502])).
% 0.11/0.36 fof(f520,plain,(
% 0.11/0.36 $false|spl0_1|~spl0_7|~spl0_9|~spl0_17|~spl0_0),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f498,f503])).
% 0.11/0.36 fof(f521,plain,(
% 0.11/0.36 spl0_1|~spl0_7|~spl0_9|~spl0_17|~spl0_0),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f520])).
% 0.11/0.36 fof(f547,plain,(
% 0.11/0.36 identity=sk_c7|~spl0_2|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.11/0.36 inference(paramodulation,[status(thm)],[f410,f355])).
% 0.11/0.36 fof(f625,plain,(
% 0.11/0.36 ~multiply(sk_c8,sk_c6)=sk_c8|~spl0_7|spl0_15),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f98,f154])).
% 0.11/0.36 fof(f626,plain,(
% 0.11/0.36 ~multiply(sk_c7,sk_c6)=sk_c8|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f283,f625])).
% 0.11/0.36 fof(f627,plain,(
% 0.11/0.36 ~sk_c8=sk_c8|~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f71,f626])).
% 0.11/0.36 fof(f628,plain,(
% 0.11/0.36 ~sk_c7=sk_c8|~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f283,f627])).
% 0.11/0.36 fof(f629,plain,(
% 0.11/0.36 ~identity=sk_c8|~spl0_2|~spl0_3|~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f547,f628])).
% 0.11/0.36 fof(f630,plain,(
% 0.11/0.36 ~identity=sk_c7|~spl0_2|~spl0_3|~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f283,f629])).
% 0.11/0.36 fof(f631,plain,(
% 0.11/0.36 ~identity=identity|~spl0_2|~spl0_3|~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f547,f630])).
% 0.11/0.36 fof(f632,plain,(
% 0.11/0.36 $false|~spl0_2|~spl0_3|~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.11/0.36 inference(trivial_equality_resolution,[status(esa)],[f631])).
% 0.11/0.36 fof(f633,plain,(
% 0.11/0.36 ~spl0_2|~spl0_3|~spl0_0|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f632])).
% 0.11/0.36 fof(f634,plain,(
% 0.11/0.36 inverse(sk_c7)=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_7),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f283,f98])).
% 0.11/0.36 fof(f635,plain,(
% 0.11/0.36 inverse(identity)=sk_c6|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f547,f634])).
% 0.11/0.36 fof(f636,plain,(
% 0.11/0.36 identity=sk_c6|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f437,f635])).
% 0.11/0.36 fof(f734,plain,(
% 0.11/0.36 sk_c8=identity|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5),
% 0.11/0.36 inference(backward_demodulation,[status(thm)],[f547,f283])).
% 0.11/0.36 fof(f739,plain,(
% 0.11/0.36 ~multiply(identity,sk_c7)=sk_c8|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_16),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f636,f157])).
% 0.11/0.36 fof(f740,plain,(
% 0.11/0.36 ~sk_c7=sk_c8|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_16),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f35,f739])).
% 0.11/0.36 fof(f741,plain,(
% 0.11/0.36 ~identity=sk_c8|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_16),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f547,f740])).
% 0.11/0.36 fof(f742,plain,(
% 0.11/0.36 ~identity=identity|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_16),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f734,f741])).
% 0.11/0.36 fof(f743,plain,(
% 0.11/0.36 $false|~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_16),
% 0.11/0.36 inference(trivial_equality_resolution,[status(esa)],[f742])).
% 0.11/0.36 fof(f744,plain,(
% 0.11/0.36 ~spl0_2|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_16),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f743])).
% 0.11/0.36 fof(f745,plain,(
% 0.11/0.36 ~inverse(identity)=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_17|~spl0_13),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f498,f470])).
% 0.11/0.36 fof(f746,plain,(
% 0.11/0.36 ~identity=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_17|~spl0_13),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f437,f745])).
% 0.11/0.36 fof(f747,plain,(
% 0.11/0.36 $false|~spl0_7|~spl0_0|~spl0_9|~spl0_17|~spl0_13),
% 0.11/0.36 inference(trivial_equality_resolution,[status(esa)],[f746])).
% 0.11/0.36 fof(f748,plain,(
% 0.11/0.36 ~spl0_7|~spl0_0|~spl0_9|~spl0_17|~spl0_13),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f747])).
% 0.11/0.36 fof(f803,plain,(
% 0.11/0.36 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_9|~spl0_17|~spl0_12)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f463,f137])).
% 0.11/0.36 fof(f804,plain,(
% 0.11/0.36 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c8|~spl0_9|~spl0_17|~spl0_12)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f410,f803])).
% 0.11/0.36 fof(f805,plain,(
% 0.11/0.36 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_7|~spl0_0|~spl0_9|~spl0_17|~spl0_12)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f498,f804])).
% 0.11/0.36 fof(f806,plain,(
% 0.11/0.36 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_17|~spl0_12)),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f463,f805])).
% 0.11/0.36 fof(f807,plain,(
% 0.11/0.36 ~inverse(identity)=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_17|~spl0_12),
% 0.11/0.36 inference(destructive_equality_resolution,[status(esa)],[f806])).
% 0.11/0.36 fof(f808,plain,(
% 0.11/0.36 $false|~spl0_7|~spl0_0|~spl0_9|~spl0_17|~spl0_12),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f807,f437])).
% 0.11/0.36 fof(f809,plain,(
% 0.11/0.36 ~spl0_7|~spl0_0|~spl0_9|~spl0_17|~spl0_12),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f808])).
% 0.11/0.36 fof(f852,plain,(
% 0.11/0.36 ~inverse(identity)=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f547,f402])).
% 0.11/0.36 fof(f853,plain,(
% 0.11/0.36 ~identity=sk_c7|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f437,f852])).
% 0.11/0.36 fof(f854,plain,(
% 0.11/0.36 ~identity=identity|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.11/0.36 inference(forward_demodulation,[status(thm)],[f547,f853])).
% 0.11/0.36 fof(f855,plain,(
% 0.11/0.36 $false|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.11/0.36 inference(trivial_equality_resolution,[status(esa)],[f854])).
% 0.11/0.36 fof(f856,plain,(
% 0.11/0.36 ~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f855])).
% 0.11/0.36 fof(f857,plain,(
% 0.11/0.36 $false),
% 0.11/0.36 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,f142,f148,f150,f159,f164,f168,f173,f362,f521,f633,f744,f748,f809,f856])).
% 0.11/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.29/0.58 % Elapsed time: 0.044603 seconds
% 0.29/0.58 % CPU time: 0.119364 seconds
% 0.29/0.58 % Memory used: 20.292 MB
%------------------------------------------------------------------------------