TSTP Solution File: GRP356-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP356-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:20:11 EDT 2024
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP356-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:24:58 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.50 fof(f1,axiom,(
% 0.20/0.50 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f2,axiom,(
% 0.20/0.50 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f3,axiom,(
% 0.20/0.50 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f4,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f5,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f6,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f8,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f10,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f11,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f12,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f13,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f14,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f15,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f16,negated_conjecture,(
% 0.20/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f17,negated_conjecture,(
% 0.20/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f18,negated_conjecture,(
% 0.20/0.50 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f19,negated_conjecture,(
% 0.20/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f20,negated_conjecture,(
% 0.20/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f21,negated_conjecture,(
% 0.20/0.50 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f22,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f23,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f24,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f25,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f26,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f27,negated_conjecture,(
% 0.20/0.50 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f28,negated_conjecture,(
% 0.20/0.50 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f29,negated_conjecture,(
% 0.20/0.51 ( inverse(sk_c2) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f30,negated_conjecture,(
% 0.20/0.51 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f31,negated_conjecture,(
% 0.20/0.51 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f32,negated_conjecture,(
% 0.20/0.51 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f33,negated_conjecture,(
% 0.20/0.51 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f34,negated_conjecture,(
% 0.20/0.51 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c6) != sk_c8| multiply(X3,sk_c7) != sk_c8| inverse(X3) != sk_c7| multiply(X4,sk_c8) != sk_c6| inverse(X4) != 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 ) ))),
% 0.20/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.51 fof(f35,plain,(
% 0.20/0.51 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.51 fof(f36,plain,(
% 0.20/0.51 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.51 fof(f37,plain,(
% 0.20/0.51 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.51 fof(f38,plain,(
% 0.20/0.51 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.51 fof(f39,plain,(
% 0.20/0.51 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.51 fof(f40,plain,(
% 0.20/0.51 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.51 fof(f42,plain,(
% 0.20/0.51 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.51 fof(f44,plain,(
% 0.20/0.51 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.51 fof(f45,plain,(
% 0.20/0.51 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.51 fof(f46,plain,(
% 0.20/0.51 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.51 fof(f47,plain,(
% 0.20/0.51 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.51 fof(f48,plain,(
% 0.20/0.51 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.51 fof(f49,plain,(
% 0.20/0.51 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.51 fof(f50,plain,(
% 0.20/0.51 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.51 fof(f51,plain,(
% 0.20/0.51 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.51 fof(f52,plain,(
% 0.20/0.51 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.51 fof(f53,plain,(
% 0.20/0.51 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.51 fof(f54,plain,(
% 0.20/0.51 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.51 fof(f55,plain,(
% 0.20/0.51 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.51 fof(f56,plain,(
% 0.20/0.51 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.51 fof(f57,plain,(
% 0.20/0.51 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.51 fof(f58,plain,(
% 0.20/0.51 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.51 fof(f59,plain,(
% 0.20/0.51 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.51 fof(f60,plain,(
% 0.20/0.51 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.51 fof(f61,plain,(
% 0.20/0.51 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.51 fof(f62,plain,(
% 0.20/0.51 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.51 fof(f63,plain,(
% 0.20/0.51 inverse(sk_c2)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f29])).
% 0.20/0.51 fof(f64,plain,(
% 0.20/0.51 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f30])).
% 0.20/0.51 fof(f65,plain,(
% 0.20/0.51 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f31])).
% 0.20/0.51 fof(f66,plain,(
% 0.20/0.51 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f32])).
% 0.20/0.51 fof(f67,plain,(
% 0.20/0.51 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f33])).
% 0.20/0.51 fof(f68,plain,(
% 0.20/0.51 ![X5]: ((![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c8|~multiply(X3,sk_c7)=sk_c8)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c8)=sk_c6)|~inverse(X4)=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)),
% 0.20/0.51 inference(miniscoping,[status(esa)],[f34])).
% 0.20/0.51 fof(f69,plain,(
% 0.20/0.51 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c6)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=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)),
% 0.20/0.51 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.51 fof(f70,plain,(
% 0.20/0.51 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c8),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f71,plain,(
% 0.20/0.51 multiply(sk_c7,sk_c6)=sk_c8|~spl0_0),
% 0.20/0.51 inference(component_clause,[status(thm)],[f70])).
% 0.20/0.51 fof(f72,plain,(
% 0.20/0.51 ~multiply(sk_c7,sk_c6)=sk_c8|spl0_0),
% 0.20/0.51 inference(component_clause,[status(thm)],[f70])).
% 0.20/0.51 fof(f73,plain,(
% 0.20/0.51 spl0_1 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f74,plain,(
% 0.20/0.51 multiply(sk_c8,sk_c7)=sk_c6|~spl0_1),
% 0.20/0.51 inference(component_clause,[status(thm)],[f73])).
% 0.20/0.51 fof(f75,plain,(
% 0.20/0.51 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_1),
% 0.20/0.51 inference(component_clause,[status(thm)],[f73])).
% 0.20/0.51 fof(f76,plain,(
% 0.20/0.51 spl0_0|spl0_1),
% 0.20/0.51 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.20/0.51 fof(f77,plain,(
% 0.20/0.51 spl0_2 <=> multiply(sk_c3,sk_c8)=sk_c7),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f78,plain,(
% 0.20/0.51 multiply(sk_c3,sk_c8)=sk_c7|~spl0_2),
% 0.20/0.51 inference(component_clause,[status(thm)],[f77])).
% 0.20/0.51 fof(f80,plain,(
% 0.20/0.51 spl0_0|spl0_2),
% 0.20/0.51 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.20/0.51 fof(f81,plain,(
% 0.20/0.51 spl0_3 <=> inverse(sk_c3)=sk_c8),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f82,plain,(
% 0.20/0.51 inverse(sk_c3)=sk_c8|~spl0_3),
% 0.20/0.51 inference(component_clause,[status(thm)],[f81])).
% 0.20/0.51 fof(f84,plain,(
% 0.20/0.51 spl0_0|spl0_3),
% 0.20/0.51 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.20/0.51 fof(f85,plain,(
% 0.20/0.51 spl0_4 <=> multiply(sk_c8,sk_c5)=sk_c7),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f86,plain,(
% 0.20/0.51 multiply(sk_c8,sk_c5)=sk_c7|~spl0_4),
% 0.20/0.51 inference(component_clause,[status(thm)],[f85])).
% 0.20/0.51 fof(f89,plain,(
% 0.20/0.51 spl0_5 <=> multiply(sk_c4,sk_c8)=sk_c5),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f90,plain,(
% 0.20/0.51 multiply(sk_c4,sk_c8)=sk_c5|~spl0_5),
% 0.20/0.51 inference(component_clause,[status(thm)],[f89])).
% 0.20/0.51 fof(f92,plain,(
% 0.20/0.51 spl0_0|spl0_5),
% 0.20/0.51 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.20/0.51 fof(f93,plain,(
% 0.20/0.51 spl0_6 <=> inverse(sk_c4)=sk_c8),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f94,plain,(
% 0.20/0.51 inverse(sk_c4)=sk_c8|~spl0_6),
% 0.20/0.51 inference(component_clause,[status(thm)],[f93])).
% 0.20/0.51 fof(f97,plain,(
% 0.20/0.51 spl0_7 <=> multiply(sk_c1,sk_c7)=sk_c8),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f98,plain,(
% 0.20/0.51 multiply(sk_c1,sk_c7)=sk_c8|~spl0_7),
% 0.20/0.51 inference(component_clause,[status(thm)],[f97])).
% 0.20/0.51 fof(f100,plain,(
% 0.20/0.51 spl0_7|spl0_1),
% 0.20/0.51 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.20/0.51 fof(f101,plain,(
% 0.20/0.51 spl0_7|spl0_2),
% 0.20/0.51 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.20/0.51 fof(f102,plain,(
% 0.20/0.51 spl0_7|spl0_3),
% 0.20/0.51 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.20/0.51 fof(f103,plain,(
% 0.20/0.51 spl0_7|spl0_4),
% 0.20/0.51 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.20/0.51 fof(f104,plain,(
% 0.20/0.51 spl0_7|spl0_5),
% 0.20/0.51 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.20/0.51 fof(f105,plain,(
% 0.20/0.51 spl0_7|spl0_6),
% 0.20/0.51 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.20/0.51 fof(f106,plain,(
% 0.20/0.51 spl0_8 <=> inverse(sk_c1)=sk_c7),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f107,plain,(
% 0.20/0.51 inverse(sk_c1)=sk_c7|~spl0_8),
% 0.20/0.51 inference(component_clause,[status(thm)],[f106])).
% 0.20/0.51 fof(f109,plain,(
% 0.20/0.51 spl0_8|spl0_1),
% 0.20/0.51 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.20/0.51 fof(f110,plain,(
% 0.20/0.51 spl0_8|spl0_2),
% 0.20/0.51 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.20/0.51 fof(f111,plain,(
% 0.20/0.51 spl0_8|spl0_3),
% 0.20/0.51 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.20/0.51 fof(f112,plain,(
% 0.20/0.51 spl0_8|spl0_4),
% 0.20/0.51 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.20/0.51 fof(f113,plain,(
% 0.20/0.51 spl0_8|spl0_5),
% 0.20/0.51 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.20/0.51 fof(f114,plain,(
% 0.20/0.51 spl0_8|spl0_6),
% 0.20/0.51 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.20/0.51 fof(f115,plain,(
% 0.20/0.51 spl0_9 <=> multiply(sk_c2,sk_c8)=sk_c6),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f116,plain,(
% 0.20/0.51 multiply(sk_c2,sk_c8)=sk_c6|~spl0_9),
% 0.20/0.51 inference(component_clause,[status(thm)],[f115])).
% 0.20/0.51 fof(f118,plain,(
% 0.20/0.51 spl0_9|spl0_1),
% 0.20/0.51 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.20/0.51 fof(f119,plain,(
% 0.20/0.51 spl0_9|spl0_2),
% 0.20/0.51 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.20/0.51 fof(f120,plain,(
% 0.20/0.51 spl0_9|spl0_3),
% 0.20/0.51 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.20/0.51 fof(f121,plain,(
% 0.20/0.51 spl0_9|spl0_4),
% 0.20/0.51 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.20/0.51 fof(f122,plain,(
% 0.20/0.51 spl0_9|spl0_5),
% 0.20/0.51 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.20/0.51 fof(f123,plain,(
% 0.20/0.51 spl0_9|spl0_6),
% 0.20/0.51 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.20/0.51 fof(f124,plain,(
% 0.20/0.51 spl0_10 <=> inverse(sk_c2)=sk_c8),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f125,plain,(
% 0.20/0.51 inverse(sk_c2)=sk_c8|~spl0_10),
% 0.20/0.51 inference(component_clause,[status(thm)],[f124])).
% 0.20/0.51 fof(f127,plain,(
% 0.20/0.51 spl0_10|spl0_1),
% 0.20/0.51 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.20/0.51 fof(f128,plain,(
% 0.20/0.51 spl0_10|spl0_2),
% 0.20/0.51 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.20/0.51 fof(f129,plain,(
% 0.20/0.51 spl0_10|spl0_3),
% 0.20/0.51 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.20/0.51 fof(f130,plain,(
% 0.20/0.51 spl0_10|spl0_4),
% 0.20/0.51 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.20/0.51 fof(f131,plain,(
% 0.20/0.51 spl0_10|spl0_5),
% 0.20/0.51 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.20/0.51 fof(f132,plain,(
% 0.20/0.51 spl0_10|spl0_6),
% 0.20/0.51 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.20/0.51 fof(f133,plain,(
% 0.20/0.51 spl0_11 <=> ~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f134,plain,(
% 0.20/0.51 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_11)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f133])).
% 0.20/0.51 fof(f136,plain,(
% 0.20/0.51 spl0_12 <=> ~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=sk_c8),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f137,plain,(
% 0.20/0.51 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~spl0_12)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f136])).
% 0.20/0.51 fof(f139,plain,(
% 0.20/0.51 spl0_13 <=> ~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f140,plain,(
% 0.20/0.51 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f139])).
% 0.20/0.51 fof(f142,plain,(
% 0.20/0.51 spl0_14 <=> ~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f143,plain,(
% 0.20/0.51 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_14)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f142])).
% 0.20/0.51 fof(f145,plain,(
% 0.20/0.51 ~spl0_0|spl0_11|spl0_12|~spl0_1|spl0_13|spl0_14),
% 0.20/0.51 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.20/0.51 fof(f146,plain,(
% 0.20/0.51 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_14)),
% 0.20/0.51 inference(destructive_equality_resolution,[status(esa)],[f143])).
% 0.20/0.51 fof(f149,plain,(
% 0.20/0.51 ~multiply(sk_c8,multiply(sk_c4,sk_c8))=sk_c7|~spl0_14|~spl0_6),
% 0.20/0.51 inference(resolution,[status(thm)],[f146,f94])).
% 0.20/0.51 fof(f150,plain,(
% 0.20/0.51 ~multiply(sk_c8,sk_c5)=sk_c7|~spl0_5|~spl0_14|~spl0_6),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f90,f149])).
% 0.20/0.51 fof(f151,plain,(
% 0.20/0.51 ~sk_c7=sk_c7|~spl0_4|~spl0_5|~spl0_14|~spl0_6),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f86,f150])).
% 0.20/0.51 fof(f152,plain,(
% 0.20/0.51 $false|~spl0_4|~spl0_5|~spl0_14|~spl0_6),
% 0.20/0.51 inference(trivial_equality_resolution,[status(esa)],[f151])).
% 0.20/0.51 fof(f153,plain,(
% 0.20/0.51 ~spl0_4|~spl0_5|~spl0_14|~spl0_6),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f152])).
% 0.20/0.51 fof(f154,plain,(
% 0.20/0.51 ~multiply(sk_c3,sk_c8)=sk_c7|~spl0_13|~spl0_3),
% 0.20/0.51 inference(resolution,[status(thm)],[f140,f82])).
% 0.20/0.51 fof(f155,plain,(
% 0.20/0.51 ~sk_c7=sk_c7|~spl0_2|~spl0_13|~spl0_3),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f78,f154])).
% 0.20/0.51 fof(f156,plain,(
% 0.20/0.51 $false|~spl0_2|~spl0_13|~spl0_3),
% 0.20/0.51 inference(trivial_equality_resolution,[status(esa)],[f155])).
% 0.20/0.51 fof(f157,plain,(
% 0.20/0.51 ~spl0_2|~spl0_13|~spl0_3),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f156])).
% 0.20/0.51 fof(f158,plain,(
% 0.20/0.51 ~multiply(sk_c3,sk_c8)=sk_c6|~spl0_12|~spl0_3),
% 0.20/0.51 inference(resolution,[status(thm)],[f137,f82])).
% 0.20/0.51 fof(f161,plain,(
% 0.20/0.51 ~multiply(sk_c2,sk_c8)=sk_c6|~spl0_12|~spl0_10),
% 0.20/0.51 inference(resolution,[status(thm)],[f137,f125])).
% 0.20/0.51 fof(f162,plain,(
% 0.20/0.51 ~sk_c6=sk_c6|~spl0_9|~spl0_12|~spl0_10),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f116,f161])).
% 0.20/0.51 fof(f163,plain,(
% 0.20/0.51 $false|~spl0_9|~spl0_12|~spl0_10),
% 0.20/0.51 inference(trivial_equality_resolution,[status(esa)],[f162])).
% 0.20/0.51 fof(f164,plain,(
% 0.20/0.51 ~spl0_9|~spl0_12|~spl0_10),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f163])).
% 0.20/0.51 fof(f165,plain,(
% 0.20/0.51 ~inverse(sk_c1)=sk_c7|~spl0_11|~spl0_7),
% 0.20/0.51 inference(resolution,[status(thm)],[f134,f98])).
% 0.20/0.51 fof(f166,plain,(
% 0.20/0.51 ~sk_c7=sk_c7|~spl0_8|~spl0_11|~spl0_7),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f107,f165])).
% 0.20/0.51 fof(f167,plain,(
% 0.20/0.51 $false|~spl0_8|~spl0_11|~spl0_7),
% 0.20/0.51 inference(trivial_equality_resolution,[status(esa)],[f166])).
% 0.20/0.51 fof(f168,plain,(
% 0.20/0.51 ~spl0_8|~spl0_11|~spl0_7),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f167])).
% 0.20/0.51 fof(f169,plain,(
% 0.20/0.51 spl0_15 <=> sk_c6=sk_c8),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f171,plain,(
% 0.20/0.51 ~sk_c6=sk_c8|spl0_15),
% 0.20/0.51 inference(component_clause,[status(thm)],[f169])).
% 0.20/0.51 fof(f172,plain,(
% 0.20/0.51 spl0_16 <=> inverse(sk_c8)=sk_c7),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f174,plain,(
% 0.20/0.51 ~inverse(sk_c8)=sk_c7|spl0_16),
% 0.20/0.51 inference(component_clause,[status(thm)],[f172])).
% 0.20/0.51 fof(f175,plain,(
% 0.20/0.51 ~sk_c6=sk_c8|~inverse(sk_c8)=sk_c7|~spl0_11|~spl0_1),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f74,f134])).
% 0.20/0.51 fof(f176,plain,(
% 0.20/0.51 ~spl0_15|~spl0_16|~spl0_11|~spl0_1),
% 0.20/0.51 inference(split_clause,[status(thm)],[f175,f169,f172,f133,f73])).
% 0.20/0.51 fof(f177,plain,(
% 0.20/0.51 spl0_17 <=> sk_c8=sk_c8),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f179,plain,(
% 0.20/0.51 ~sk_c8=sk_c8|spl0_17),
% 0.20/0.51 inference(component_clause,[status(thm)],[f177])).
% 0.20/0.51 fof(f182,plain,(
% 0.20/0.51 $false|spl0_17),
% 0.20/0.51 inference(trivial_equality_resolution,[status(esa)],[f179])).
% 0.20/0.51 fof(f183,plain,(
% 0.20/0.51 spl0_17),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f182])).
% 0.20/0.51 fof(f187,plain,(
% 0.20/0.51 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c8,X0))|~spl0_2)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f78,f37])).
% 0.20/0.51 fof(f189,plain,(
% 0.20/0.51 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c8,multiply(sk_c7,X0))|~spl0_1)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.20/0.51 fof(f190,plain,(
% 0.20/0.51 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(sk_c8,X0))|~spl0_5)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.20/0.51 fof(f191,plain,(
% 0.20/0.51 multiply(sk_c7,sk_c5)=multiply(sk_c3,sk_c7)|~spl0_2|~spl0_4),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f86,f187])).
% 0.20/0.51 fof(f211,plain,(
% 0.20/0.51 multiply(sk_c5,sk_c7)=multiply(sk_c4,sk_c6)|~spl0_5|~spl0_1),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f74,f190])).
% 0.20/0.51 fof(f236,plain,(
% 0.20/0.51 multiply(sk_c8,sk_c3)=identity|~spl0_3),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.20/0.51 fof(f239,plain,(
% 0.20/0.51 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.20/0.51 fof(f240,plain,(
% 0.20/0.51 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f239])).
% 0.20/0.51 fof(f243,plain,(
% 0.20/0.51 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c3,X0))|~spl0_3)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f236,f37])).
% 0.20/0.51 fof(f244,plain,(
% 0.20/0.51 ![X0]: (X0=multiply(sk_c8,multiply(sk_c3,X0))|~spl0_3)),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f243])).
% 0.20/0.51 fof(f255,plain,(
% 0.20/0.51 sk_c7=multiply(sk_c8,multiply(sk_c7,sk_c5))|~spl0_3|~spl0_2|~spl0_4),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f191,f244])).
% 0.20/0.51 fof(f256,plain,(
% 0.20/0.51 sk_c7=multiply(sk_c6,sk_c5)|~spl0_1|~spl0_3|~spl0_2|~spl0_4),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f189,f255])).
% 0.20/0.51 fof(f261,plain,(
% 0.20/0.51 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c8,multiply(sk_c7,X0))|~spl0_3|~spl0_2)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f187,f244])).
% 0.20/0.51 fof(f262,plain,(
% 0.20/0.51 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c6,X0)|~spl0_1|~spl0_3|~spl0_2)),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f189,f261])).
% 0.20/0.51 fof(f263,plain,(
% 0.20/0.51 sk_c8=multiply(sk_c8,sk_c7)|~spl0_3|~spl0_2),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f78,f244])).
% 0.20/0.51 fof(f264,plain,(
% 0.20/0.51 sk_c8=sk_c6|~spl0_1|~spl0_3|~spl0_2),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f74,f263])).
% 0.20/0.51 fof(f265,plain,(
% 0.20/0.51 $false|spl0_15|~spl0_1|~spl0_3|~spl0_2),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f264,f171])).
% 0.20/0.51 fof(f266,plain,(
% 0.20/0.51 spl0_15|~spl0_1|~spl0_3|~spl0_2),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f265])).
% 0.20/0.51 fof(f283,plain,(
% 0.20/0.51 multiply(sk_c6,sk_c3)=identity|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f262,f236])).
% 0.20/0.51 fof(f307,plain,(
% 0.20/0.51 ~multiply(sk_c7,sk_c6)=sk_c6|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f264,f72])).
% 0.20/0.51 fof(f310,plain,(
% 0.20/0.51 ~inverse(sk_c6)=sk_c7|~spl0_1|~spl0_3|~spl0_2|spl0_16),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f264,f174])).
% 0.20/0.51 fof(f312,plain,(
% 0.20/0.51 multiply(sk_c4,sk_c6)=sk_c5|~spl0_1|~spl0_3|~spl0_2|~spl0_5),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f264,f90])).
% 0.20/0.51 fof(f313,plain,(
% 0.20/0.51 multiply(sk_c5,sk_c7)=sk_c5|~spl0_1|~spl0_3|~spl0_2|~spl0_5),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f211,f312])).
% 0.20/0.51 fof(f314,plain,(
% 0.20/0.51 inverse(sk_c3)=sk_c6|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f264,f82])).
% 0.20/0.51 fof(f315,plain,(
% 0.20/0.51 inverse(sk_c4)=sk_c6|~spl0_1|~spl0_3|~spl0_2|~spl0_6),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f264,f94])).
% 0.20/0.51 fof(f325,plain,(
% 0.20/0.51 sk_c5=multiply(sk_c4,sk_c6)|~spl0_3|~spl0_2|~spl0_5|~spl0_1),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f313,f211])).
% 0.20/0.51 fof(f335,plain,(
% 0.20/0.51 sk_c7=multiply(inverse(sk_c5),sk_c5)|~spl0_1|~spl0_3|~spl0_2|~spl0_5),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f313,f240])).
% 0.20/0.51 fof(f336,plain,(
% 0.20/0.51 sk_c7=identity|~spl0_1|~spl0_3|~spl0_2|~spl0_5),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f36,f335])).
% 0.20/0.51 fof(f357,plain,(
% 0.20/0.51 sk_c6=multiply(inverse(sk_c4),sk_c5)|~spl0_3|~spl0_2|~spl0_5|~spl0_1),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f325,f240])).
% 0.20/0.51 fof(f358,plain,(
% 0.20/0.51 sk_c6=multiply(sk_c6,sk_c5)|~spl0_6|~spl0_3|~spl0_2|~spl0_5|~spl0_1),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f315,f357])).
% 0.20/0.51 fof(f359,plain,(
% 0.20/0.51 sk_c6=sk_c7|~spl0_4|~spl0_6|~spl0_3|~spl0_2|~spl0_5|~spl0_1),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f256,f358])).
% 0.20/0.51 fof(f396,plain,(
% 0.20/0.51 ~multiply(identity,sk_c6)=sk_c6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f336,f307])).
% 0.20/0.51 fof(f397,plain,(
% 0.20/0.51 ~sk_c6=sk_c6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f396])).
% 0.20/0.51 fof(f398,plain,(
% 0.20/0.51 $false|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.51 inference(trivial_equality_resolution,[status(esa)],[f397])).
% 0.20/0.51 fof(f399,plain,(
% 0.20/0.51 ~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f398])).
% 0.20/0.51 fof(f400,plain,(
% 0.20/0.51 ~inverse(sk_c6)=identity|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_16),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f336,f310])).
% 0.20/0.51 fof(f447,plain,(
% 0.20/0.51 sk_c6=identity|~spl0_4|~spl0_6|~spl0_3|~spl0_2|~spl0_5|~spl0_1),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f336,f359])).
% 0.20/0.51 fof(f453,plain,(
% 0.20/0.51 ~inverse(identity)=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2|spl0_16),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f447,f400])).
% 0.20/0.51 fof(f459,plain,(
% 0.20/0.51 inverse(sk_c3)=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f447,f314])).
% 0.20/0.51 fof(f460,plain,(
% 0.20/0.51 sk_c8=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_2),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f447,f264])).
% 0.20/0.51 fof(f461,plain,(
% 0.20/0.51 multiply(identity,sk_c3)=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f447,f283])).
% 0.20/0.51 fof(f462,plain,(
% 0.20/0.51 sk_c3=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f461])).
% 0.20/0.51 fof(f492,plain,(
% 0.20/0.51 inverse(identity)=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f462,f459])).
% 0.20/0.51 fof(f498,plain,(
% 0.20/0.51 $false|spl0_16|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f492,f453])).
% 0.20/0.51 fof(f499,plain,(
% 0.20/0.51 spl0_16|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f498])).
% 0.20/0.51 fof(f517,plain,(
% 0.20/0.51 ~multiply(identity,sk_c8)=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f462,f158])).
% 0.20/0.51 fof(f518,plain,(
% 0.20/0.51 ~sk_c8=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f517])).
% 0.20/0.51 fof(f519,plain,(
% 0.20/0.51 ~identity=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f460,f518])).
% 0.20/0.51 fof(f520,plain,(
% 0.20/0.51 ~identity=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f447,f519])).
% 0.20/0.51 fof(f521,plain,(
% 0.20/0.51 $false|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.51 inference(trivial_equality_resolution,[status(esa)],[f520])).
% 0.20/0.51 fof(f522,plain,(
% 0.20/0.51 ~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f521])).
% 0.20/0.51 fof(f540,plain,(
% 0.20/0.51 multiply(sk_c7,sk_c1)=identity|~spl0_8),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f107,f36])).
% 0.20/0.51 fof(f541,plain,(
% 0.20/0.51 sk_c6=multiply(inverse(sk_c7),sk_c8)|~spl0_0),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f71,f240])).
% 0.20/0.51 fof(f547,plain,(
% 0.20/0.51 sk_c7=multiply(inverse(sk_c8),sk_c6)|~spl0_1),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f74,f240])).
% 0.20/0.51 fof(f549,plain,(
% 0.20/0.51 sk_c8=multiply(inverse(sk_c2),sk_c6)|~spl0_9),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f116,f240])).
% 0.20/0.51 fof(f550,plain,(
% 0.20/0.51 sk_c8=multiply(sk_c8,sk_c6)|~spl0_10|~spl0_9),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f125,f549])).
% 0.20/0.51 fof(f552,plain,(
% 0.20/0.51 sk_c7=multiply(inverse(sk_c1),sk_c8)|~spl0_7),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f98,f240])).
% 0.20/0.51 fof(f553,plain,(
% 0.20/0.51 sk_c7=multiply(sk_c7,sk_c8)|~spl0_8|~spl0_7),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f107,f552])).
% 0.20/0.51 fof(f567,plain,(
% 0.20/0.51 sk_c6=multiply(inverse(sk_c8),sk_c8)|~spl0_10|~spl0_9),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f550,f240])).
% 0.20/0.51 fof(f568,plain,(
% 0.20/0.51 sk_c6=identity|~spl0_10|~spl0_9),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f36,f567])).
% 0.20/0.51 fof(f570,plain,(
% 0.20/0.51 sk_c8=multiply(inverse(sk_c7),sk_c7)|~spl0_8|~spl0_7),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f553,f240])).
% 0.20/0.51 fof(f571,plain,(
% 0.20/0.51 sk_c8=identity|~spl0_8|~spl0_7),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f36,f570])).
% 0.20/0.51 fof(f574,plain,(
% 0.20/0.51 ![X0]: (multiply(sk_c6,X0)=multiply(inverse(sk_c7),multiply(sk_c8,X0))|~spl0_0)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f541,f37])).
% 0.20/0.51 fof(f580,plain,(
% 0.20/0.51 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c8),multiply(sk_c6,X0))|~spl0_1)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f547,f37])).
% 0.20/0.51 fof(f593,plain,(
% 0.20/0.51 multiply(sk_c6,sk_c6)=multiply(inverse(sk_c7),sk_c8)|~spl0_0|~spl0_10|~spl0_9),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f550,f574])).
% 0.20/0.51 fof(f594,plain,(
% 0.20/0.51 multiply(sk_c6,sk_c6)=sk_c6|~spl0_0|~spl0_10|~spl0_9),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f541,f593])).
% 0.20/0.51 fof(f648,plain,(
% 0.20/0.51 multiply(sk_c7,sk_c6)=multiply(inverse(sk_c8),sk_c6)|~spl0_1|~spl0_0|~spl0_10|~spl0_9),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f594,f580])).
% 0.20/0.51 fof(f649,plain,(
% 0.20/0.51 sk_c8=multiply(inverse(sk_c8),sk_c6)|~spl0_1|~spl0_0|~spl0_10|~spl0_9),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f71,f648])).
% 0.20/0.51 fof(f650,plain,(
% 0.20/0.51 sk_c8=sk_c7|~spl0_1|~spl0_0|~spl0_10|~spl0_9),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f547,f649])).
% 0.20/0.51 fof(f720,plain,(
% 0.20/0.51 multiply(sk_c7,identity)=sk_c8|~spl0_10|~spl0_9|~spl0_0),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f568,f71])).
% 0.20/0.51 fof(f792,plain,(
% 0.20/0.51 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=identity|~spl0_8|~spl0_7|~spl0_13)),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f571,f140])).
% 0.20/0.51 fof(f793,plain,(
% 0.20/0.51 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=identity|~spl0_8|~spl0_7|~spl0_13)),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f571,f792])).
% 0.20/0.51 fof(f795,plain,(
% 0.20/0.51 multiply(sk_c1,sk_c7)=identity|~spl0_8|~spl0_7),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f571,f98])).
% 0.20/0.51 fof(f800,plain,(
% 0.20/0.51 inverse(sk_c2)=identity|~spl0_8|~spl0_7|~spl0_10),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f571,f125])).
% 0.20/0.51 fof(f807,plain,(
% 0.20/0.51 ![X0]: (X0=multiply(identity,multiply(sk_c2,X0))|~spl0_8|~spl0_7|~spl0_10)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f800,f240])).
% 0.20/0.51 fof(f808,plain,(
% 0.20/0.51 ![X0]: (X0=multiply(sk_c2,X0)|~spl0_8|~spl0_7|~spl0_10)),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f807])).
% 0.20/0.51 fof(f837,plain,(
% 0.20/0.51 identity=sk_c7|~spl0_8|~spl0_7|~spl0_1|~spl0_0|~spl0_10|~spl0_9),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f571,f650])).
% 0.20/0.51 fof(f848,plain,(
% 0.20/0.51 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_1|~spl0_0|~spl0_10|~spl0_9|~spl0_8|~spl0_7|~spl0_13)),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f837,f793])).
% 0.20/0.51 fof(f849,plain,(
% 0.20/0.51 ~multiply(sk_c2,identity)=identity|~spl0_1|~spl0_0|~spl0_9|~spl0_13|~spl0_8|~spl0_7|~spl0_10),
% 0.20/0.51 inference(resolution,[status(thm)],[f848,f800])).
% 0.20/0.51 fof(f850,plain,(
% 0.20/0.51 ~identity=identity|~spl0_1|~spl0_0|~spl0_9|~spl0_13|~spl0_8|~spl0_7|~spl0_10),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f808,f849])).
% 0.20/0.51 fof(f851,plain,(
% 0.20/0.51 $false|~spl0_1|~spl0_0|~spl0_9|~spl0_13|~spl0_8|~spl0_7|~spl0_10),
% 0.20/0.51 inference(trivial_equality_resolution,[status(esa)],[f850])).
% 0.20/0.51 fof(f852,plain,(
% 0.20/0.51 ~spl0_1|~spl0_0|~spl0_9|~spl0_13|~spl0_8|~spl0_7|~spl0_10),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f851])).
% 0.20/0.51 fof(f864,plain,(
% 0.20/0.51 ~multiply(sk_c8,multiply(sk_c2,sk_c8))=sk_c7|~spl0_14|~spl0_10),
% 0.20/0.51 inference(resolution,[status(thm)],[f146,f125])).
% 0.20/0.51 fof(f865,plain,(
% 0.20/0.51 ~multiply(identity,multiply(sk_c2,sk_c8))=sk_c7|~spl0_8|~spl0_7|~spl0_14|~spl0_10),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f571,f864])).
% 0.20/0.51 fof(f866,plain,(
% 0.20/0.51 ~multiply(sk_c2,sk_c8)=sk_c7|~spl0_8|~spl0_7|~spl0_14|~spl0_10),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f865])).
% 0.20/0.51 fof(f867,plain,(
% 0.20/0.51 ~sk_c8=sk_c7|~spl0_8|~spl0_7|~spl0_14|~spl0_10),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f808,f866])).
% 0.20/0.51 fof(f868,plain,(
% 0.20/0.51 ~identity=sk_c7|~spl0_8|~spl0_7|~spl0_14|~spl0_10),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f571,f867])).
% 0.20/0.51 fof(f869,plain,(
% 0.20/0.51 ~identity=identity|~spl0_1|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_14|~spl0_10),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f837,f868])).
% 0.20/0.51 fof(f870,plain,(
% 0.20/0.51 $false|~spl0_1|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_14|~spl0_10),
% 0.20/0.51 inference(trivial_equality_resolution,[status(esa)],[f869])).
% 0.20/0.51 fof(f871,plain,(
% 0.20/0.51 ~spl0_1|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_14|~spl0_10),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f870])).
% 0.20/0.51 fof(f872,plain,(
% 0.20/0.51 multiply(sk_c7,identity)=identity|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f571,f720])).
% 0.20/0.51 fof(f873,plain,(
% 0.20/0.51 ~multiply(identity,sk_c7)=sk_c6|~spl0_8|~spl0_7|spl0_1),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f571,f75])).
% 0.20/0.51 fof(f874,plain,(
% 0.20/0.51 ~sk_c7=sk_c6|~spl0_8|~spl0_7|spl0_1),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f873])).
% 0.20/0.51 fof(f875,plain,(
% 0.20/0.51 ~sk_c7=identity|~spl0_10|~spl0_9|~spl0_8|~spl0_7|spl0_1),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f568,f874])).
% 0.20/0.51 fof(f877,plain,(
% 0.20/0.51 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(identity,X0))|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0)),
% 0.20/0.51 inference(paramodulation,[status(thm)],[f872,f37])).
% 0.20/0.51 fof(f878,plain,(
% 0.20/0.51 ![X0]: (X0=multiply(sk_c7,multiply(identity,X0))|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0)),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f877])).
% 0.20/0.51 fof(f879,plain,(
% 0.20/0.51 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0)),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f878])).
% 0.20/0.51 fof(f895,plain,(
% 0.20/0.51 sk_c1=identity|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_8),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f879,f540])).
% 0.20/0.51 fof(f897,plain,(
% 0.20/0.51 multiply(identity,sk_c7)=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_7),
% 0.20/0.51 inference(backward_demodulation,[status(thm)],[f895,f795])).
% 0.20/0.51 fof(f898,plain,(
% 0.20/0.51 sk_c7=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_7),
% 0.20/0.51 inference(forward_demodulation,[status(thm)],[f35,f897])).
% 0.20/0.51 fof(f899,plain,(
% 0.20/0.51 $false|spl0_1|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_7),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f898,f875])).
% 0.20/0.51 fof(f900,plain,(
% 0.20/0.51 spl0_1|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_7),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f899])).
% 0.20/0.51 fof(f901,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(sat_refutation,[status(thm)],[f76,f80,f84,f92,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,f153,f157,f164,f168,f176,f183,f266,f399,f499,f522,f852,f871,f900])).
% 0.20/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 1.23/0.53 % Elapsed time: 0.168270 seconds
% 1.23/0.53 % CPU time: 1.226295 seconds
% 1.23/0.53 % Total memory used: 82.644 MB
% 1.23/0.53 % Net memory used: 81.579 MB
%------------------------------------------------------------------------------