TSTP Solution File: GRP230-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP230-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:11:03 EDT 2023
% Result : Unsatisfiable 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP230-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n019.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:34:40 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.36 % Refutation found
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.36 fof(f1,axiom,(
% 0.15/0.36 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f2,axiom,(
% 0.15/0.36 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f3,axiom,(
% 0.15/0.36 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f4,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f5,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c4 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f6,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f7,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f8,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f9,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f10,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f11,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c3) = sk_c4 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f12,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f13,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f14,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f15,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f16,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f17,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c4 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f18,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f19,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f20,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f21,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f22,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f23,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f24,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f25,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f26,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f27,negated_conjecture,(
% 0.15/0.37 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f28,negated_conjecture,(
% 0.15/0.37 (![X3,X4,X2,X1,X5,X6]: (( inverse(X3) != sk_c8| multiply(X3,sk_c7) != sk_c8| multiply(X4,sk_c7) != sk_c8| inverse(X4) != sk_c7| multiply(X2,X1) != sk_c8| inverse(X2) != X1| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X5) != sk_c7| multiply(X6,sk_c8) != X5| inverse(X6) != sk_c8 ) ))),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f29,plain,(
% 0.15/0.37 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.37 fof(f30,plain,(
% 0.15/0.37 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.37 fof(f31,plain,(
% 0.15/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.37 fof(f32,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.37 fof(f33,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c4),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.37 fof(f34,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.37 fof(f35,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.37 fof(f36,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.37 fof(f37,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.37 fof(f38,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c3,sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.37 fof(f39,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c3)=sk_c4),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.37 fof(f40,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.37 fof(f41,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.37 fof(f42,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.37 fof(f43,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.37 fof(f44,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.37 fof(f45,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c4),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.37 fof(f46,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.37 fof(f47,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.37 fof(f48,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f20])).
% 0.15/0.37 fof(f49,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f21])).
% 0.15/0.37 fof(f50,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.37 fof(f51,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.15/0.37 fof(f52,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.37 fof(f53,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.37 fof(f54,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f26])).
% 0.15/0.37 fof(f55,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f27])).
% 0.15/0.37 fof(f56,plain,(
% 0.15/0.37 ![X6]: ((![X5]: (((![X1]: ((![X2]: (((![X4]: (((![X3]: (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))|~multiply(X4,sk_c7)=sk_c8)|~inverse(X4)=sk_c7))|~multiply(X2,X1)=sk_c8)|~inverse(X2)=X1))|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X5)=sk_c7)|~multiply(X6,sk_c8)=X5))|~inverse(X6)=sk_c8)),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f28])).
% 0.15/0.37 fof(f57,plain,(
% 0.15/0.37 ![X0,X1,X2,X3,X4,X5]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(X1,sk_c7)=sk_c8|~inverse(X1)=sk_c7|~multiply(X2,X3)=sk_c8|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f56])).
% 0.15/0.37 fof(f58,plain,(
% 0.15/0.37 spl0_0 <=> inverse(sk_c1)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f59,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c8|~spl0_0),
% 0.15/0.37 inference(component_clause,[status(thm)],[f58])).
% 0.15/0.37 fof(f61,plain,(
% 0.15/0.37 spl0_1 <=> multiply(sk_c3,sk_c4)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f62,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c4)=sk_c8|~spl0_1),
% 0.15/0.37 inference(component_clause,[status(thm)],[f61])).
% 0.15/0.37 fof(f64,plain,(
% 0.15/0.37 spl0_0|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.15/0.37 fof(f65,plain,(
% 0.15/0.37 spl0_2 <=> inverse(sk_c3)=sk_c4),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f66,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c4|~spl0_2),
% 0.15/0.37 inference(component_clause,[status(thm)],[f65])).
% 0.15/0.37 fof(f68,plain,(
% 0.15/0.37 spl0_0|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f33,f58,f65])).
% 0.15/0.37 fof(f69,plain,(
% 0.15/0.37 spl0_3 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f70,plain,(
% 0.15/0.37 multiply(sk_c4,sk_c7)=sk_c8|~spl0_3),
% 0.15/0.37 inference(component_clause,[status(thm)],[f69])).
% 0.15/0.37 fof(f72,plain,(
% 0.15/0.37 spl0_0|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f34,f58,f69])).
% 0.15/0.37 fof(f73,plain,(
% 0.15/0.37 spl0_4 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f74,plain,(
% 0.15/0.37 multiply(sk_c8,sk_c6)=sk_c7|~spl0_4),
% 0.15/0.37 inference(component_clause,[status(thm)],[f73])).
% 0.15/0.37 fof(f76,plain,(
% 0.15/0.37 spl0_0|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.15/0.37 fof(f77,plain,(
% 0.15/0.37 spl0_5 <=> multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f78,plain,(
% 0.15/0.37 multiply(sk_c5,sk_c8)=sk_c6|~spl0_5),
% 0.15/0.37 inference(component_clause,[status(thm)],[f77])).
% 0.15/0.37 fof(f80,plain,(
% 0.15/0.37 spl0_0|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.15/0.37 fof(f81,plain,(
% 0.15/0.37 spl0_6 <=> inverse(sk_c5)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f82,plain,(
% 0.15/0.37 inverse(sk_c5)=sk_c8|~spl0_6),
% 0.15/0.37 inference(component_clause,[status(thm)],[f81])).
% 0.15/0.37 fof(f84,plain,(
% 0.15/0.37 spl0_0|spl0_6),
% 0.15/0.37 inference(split_clause,[status(thm)],[f37,f58,f81])).
% 0.15/0.37 fof(f85,plain,(
% 0.15/0.37 spl0_7 <=> multiply(sk_c1,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f86,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c7)=sk_c8|~spl0_7),
% 0.15/0.37 inference(component_clause,[status(thm)],[f85])).
% 0.15/0.37 fof(f88,plain,(
% 0.15/0.37 spl0_7|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f38,f85,f61])).
% 0.15/0.37 fof(f89,plain,(
% 0.15/0.37 spl0_7|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f39,f85,f65])).
% 0.15/0.37 fof(f90,plain,(
% 0.15/0.37 spl0_7|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f40,f85,f69])).
% 0.15/0.37 fof(f91,plain,(
% 0.15/0.37 spl0_7|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.15/0.37 fof(f92,plain,(
% 0.15/0.37 spl0_7|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.15/0.37 fof(f93,plain,(
% 0.15/0.37 spl0_7|spl0_6),
% 0.15/0.37 inference(split_clause,[status(thm)],[f43,f85,f81])).
% 0.15/0.37 fof(f94,plain,(
% 0.15/0.37 spl0_8 <=> multiply(sk_c2,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f95,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|~spl0_8),
% 0.15/0.37 inference(component_clause,[status(thm)],[f94])).
% 0.15/0.37 fof(f97,plain,(
% 0.15/0.37 spl0_8|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f44,f94,f61])).
% 0.15/0.37 fof(f98,plain,(
% 0.15/0.37 spl0_8|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f45,f94,f65])).
% 0.15/0.37 fof(f99,plain,(
% 0.15/0.37 spl0_8|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f46,f94,f69])).
% 0.15/0.37 fof(f100,plain,(
% 0.15/0.37 spl0_8|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.15/0.37 fof(f101,plain,(
% 0.15/0.37 spl0_8|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.15/0.37 fof(f102,plain,(
% 0.15/0.37 spl0_8|spl0_6),
% 0.15/0.37 inference(split_clause,[status(thm)],[f49,f94,f81])).
% 0.15/0.37 fof(f103,plain,(
% 0.15/0.37 spl0_9 <=> inverse(sk_c2)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f104,plain,(
% 0.15/0.37 inverse(sk_c2)=sk_c7|~spl0_9),
% 0.15/0.37 inference(component_clause,[status(thm)],[f103])).
% 0.15/0.37 fof(f106,plain,(
% 0.15/0.37 spl0_9|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f50,f103,f61])).
% 0.15/0.37 fof(f107,plain,(
% 0.15/0.37 spl0_9|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.15/0.37 fof(f108,plain,(
% 0.15/0.37 spl0_9|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.15/0.37 fof(f109,plain,(
% 0.15/0.37 spl0_9|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f53,f103,f73])).
% 0.15/0.37 fof(f110,plain,(
% 0.15/0.37 spl0_9|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f54,f103,f77])).
% 0.15/0.37 fof(f111,plain,(
% 0.15/0.37 spl0_9|spl0_6),
% 0.15/0.37 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.15/0.37 fof(f112,plain,(
% 0.15/0.37 spl0_10 <=> ~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f113,plain,(
% 0.15/0.37 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_10)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f112])).
% 0.15/0.37 fof(f115,plain,(
% 0.15/0.37 spl0_11 <=> ~multiply(X1,sk_c7)=sk_c8|~inverse(X1)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f116,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_11)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f115])).
% 0.15/0.37 fof(f118,plain,(
% 0.15/0.37 spl0_12 <=> ~multiply(X2,X3)=sk_c8|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f119,plain,(
% 0.15/0.37 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_12)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f118])).
% 0.15/0.37 fof(f121,plain,(
% 0.15/0.37 spl0_13 <=> ~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f122,plain,(
% 0.15/0.37 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_13)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f121])).
% 0.15/0.37 fof(f124,plain,(
% 0.15/0.37 spl0_10|spl0_11|spl0_12|spl0_13),
% 0.15/0.37 inference(split_clause,[status(thm)],[f57,f112,f115,f118,f121])).
% 0.15/0.37 fof(f125,plain,(
% 0.15/0.37 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.15/0.37 inference(destructive_equality_resolution,[status(esa)],[f122])).
% 0.15/0.37 fof(f126,plain,(
% 0.15/0.37 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~spl0_13|~spl0_5),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f78,f125])).
% 0.15/0.37 fof(f127,plain,(
% 0.15/0.37 ~spl0_4|~spl0_6|~spl0_13|~spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f126,f73,f81,f121,f77])).
% 0.15/0.37 fof(f128,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_12)),
% 0.15/0.37 inference(destructive_equality_resolution,[status(esa)],[f119])).
% 0.15/0.37 fof(f132,plain,(
% 0.15/0.37 ~inverse(sk_c2)=sk_c7|~spl0_11|~spl0_8),
% 0.15/0.37 inference(resolution,[status(thm)],[f116,f95])).
% 0.15/0.37 fof(f133,plain,(
% 0.15/0.37 ~sk_c7=sk_c7|~spl0_9|~spl0_11|~spl0_8),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f104,f132])).
% 0.15/0.37 fof(f134,plain,(
% 0.15/0.37 $false|~spl0_9|~spl0_11|~spl0_8),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f133])).
% 0.15/0.37 fof(f135,plain,(
% 0.15/0.37 ~spl0_9|~spl0_11|~spl0_8),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f134])).
% 0.15/0.37 fof(f136,plain,(
% 0.15/0.37 spl0_14 <=> multiply(sk_c3,inverse(sk_c3))=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f138,plain,(
% 0.15/0.37 ~multiply(sk_c3,inverse(sk_c3))=sk_c8|spl0_14),
% 0.15/0.37 inference(component_clause,[status(thm)],[f136])).
% 0.15/0.37 fof(f139,plain,(
% 0.15/0.37 ~multiply(sk_c3,inverse(sk_c3))=sk_c8|~multiply(sk_c4,sk_c7)=sk_c8|~spl0_12|~spl0_2),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f66,f128])).
% 0.15/0.37 fof(f140,plain,(
% 0.15/0.37 ~spl0_14|~spl0_3|~spl0_12|~spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f139,f136,f69,f118,f65])).
% 0.15/0.37 fof(f144,plain,(
% 0.15/0.37 spl0_16 <=> multiply(sk_c8,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f146,plain,(
% 0.15/0.37 ~multiply(sk_c8,sk_c7)=sk_c8|spl0_16),
% 0.15/0.37 inference(component_clause,[status(thm)],[f144])).
% 0.15/0.37 fof(f149,plain,(
% 0.15/0.37 spl0_17 <=> multiply(sk_c1,inverse(sk_c1))=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f151,plain,(
% 0.15/0.37 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|spl0_17),
% 0.15/0.37 inference(component_clause,[status(thm)],[f149])).
% 0.15/0.37 fof(f152,plain,(
% 0.15/0.37 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c8,sk_c7)=sk_c8|~spl0_12|~spl0_0),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f59,f128])).
% 0.15/0.37 fof(f153,plain,(
% 0.15/0.37 ~spl0_17|~spl0_16|~spl0_12|~spl0_0),
% 0.15/0.37 inference(split_clause,[status(thm)],[f152,f149,f144,f118,f58])).
% 0.15/0.37 fof(f154,plain,(
% 0.15/0.37 spl0_18 <=> multiply(sk_c2,inverse(sk_c2))=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f156,plain,(
% 0.15/0.37 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|spl0_18),
% 0.15/0.37 inference(component_clause,[status(thm)],[f154])).
% 0.15/0.37 fof(f157,plain,(
% 0.15/0.37 spl0_19 <=> multiply(sk_c7,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f159,plain,(
% 0.15/0.37 ~multiply(sk_c7,sk_c7)=sk_c8|spl0_19),
% 0.15/0.37 inference(component_clause,[status(thm)],[f157])).
% 0.15/0.37 fof(f160,plain,(
% 0.15/0.37 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|~multiply(sk_c7,sk_c7)=sk_c8|~spl0_12|~spl0_9),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f104,f128])).
% 0.15/0.37 fof(f161,plain,(
% 0.15/0.37 ~spl0_18|~spl0_19|~spl0_12|~spl0_9),
% 0.15/0.37 inference(split_clause,[status(thm)],[f160,f154,f157,f118,f103])).
% 0.15/0.37 fof(f162,plain,(
% 0.15/0.37 ~multiply(sk_c3,sk_c4)=sk_c8|~spl0_2|spl0_14),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f66,f138])).
% 0.15/0.37 fof(f163,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_1|~spl0_2|spl0_14),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f62,f162])).
% 0.15/0.37 fof(f164,plain,(
% 0.15/0.37 $false|~spl0_1|~spl0_2|spl0_14),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f163])).
% 0.15/0.37 fof(f165,plain,(
% 0.15/0.37 ~spl0_1|~spl0_2|spl0_14),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f164])).
% 0.15/0.37 fof(f171,plain,(
% 0.15/0.37 spl0_21 <=> sk_c8=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f173,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|spl0_21),
% 0.15/0.37 inference(component_clause,[status(thm)],[f171])).
% 0.15/0.37 fof(f179,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c6,X0))|~spl0_4)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f74,f31])).
% 0.15/0.37 fof(f180,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c3,multiply(sk_c4,X0))|~spl0_1)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f62,f31])).
% 0.15/0.37 fof(f182,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~spl0_5)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f78,f31])).
% 0.15/0.37 fof(f187,plain,(
% 0.15/0.37 multiply(sk_c8,sk_c7)=multiply(sk_c3,sk_c8)|~spl0_1|~spl0_3),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f70,f180])).
% 0.15/0.37 fof(f191,plain,(
% 0.15/0.37 ![X0]: (multiply(multiply(sk_c8,sk_c7),X0)=multiply(sk_c3,multiply(sk_c8,X0))|~spl0_1|~spl0_3)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f187,f31])).
% 0.15/0.37 fof(f192,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c8,multiply(sk_c7,X0))=multiply(sk_c3,multiply(sk_c8,X0))|~spl0_1|~spl0_3)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f31,f191])).
% 0.15/0.37 fof(f198,plain,(
% 0.15/0.37 multiply(sk_c6,sk_c6)=multiply(sk_c5,sk_c7)|~spl0_5|~spl0_4),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f74,f182])).
% 0.15/0.37 fof(f270,plain,(
% 0.15/0.37 multiply(sk_c8,multiply(sk_c7,sk_c6))=multiply(sk_c3,sk_c7)|~spl0_1|~spl0_3|~spl0_4),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f74,f192])).
% 0.15/0.37 fof(f418,plain,(
% 0.15/0.37 $false|spl0_21),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f173])).
% 0.15/0.37 fof(f419,plain,(
% 0.15/0.37 spl0_21),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f418])).
% 0.15/0.37 fof(f420,plain,(
% 0.15/0.37 ~multiply(sk_c2,sk_c7)=sk_c8|~spl0_9|spl0_18),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f104,f156])).
% 0.15/0.37 fof(f421,plain,(
% 0.15/0.37 $false|~spl0_9|spl0_18|~spl0_8),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f95,f420])).
% 0.15/0.37 fof(f422,plain,(
% 0.15/0.37 ~spl0_9|spl0_18|~spl0_8),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f421])).
% 0.15/0.37 fof(f423,plain,(
% 0.15/0.37 ~multiply(sk_c1,sk_c8)=sk_c8|~spl0_0|spl0_17),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f59,f151])).
% 0.15/0.37 fof(f425,plain,(
% 0.15/0.37 ~inverse(sk_c1)=sk_c8|~spl0_7|~spl0_10),
% 0.15/0.37 inference(resolution,[status(thm)],[f86,f113])).
% 0.15/0.37 fof(f426,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_0|~spl0_7|~spl0_10),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f59,f425])).
% 0.15/0.37 fof(f427,plain,(
% 0.15/0.37 $false|~spl0_0|~spl0_7|~spl0_10),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f426])).
% 0.15/0.37 fof(f428,plain,(
% 0.15/0.37 ~spl0_0|~spl0_7|~spl0_10),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f427])).
% 0.15/0.37 fof(f429,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~spl0_7)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f86,f31])).
% 0.15/0.37 fof(f430,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c2,multiply(sk_c7,X0))|~spl0_8)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f95,f31])).
% 0.15/0.37 fof(f442,plain,(
% 0.15/0.37 multiply(sk_c8,sk_c1)=identity|~spl0_0),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f59,f30])).
% 0.15/0.37 fof(f443,plain,(
% 0.15/0.37 multiply(sk_c7,sk_c2)=identity|~spl0_9),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f104,f30])).
% 0.15/0.37 fof(f452,plain,(
% 0.15/0.37 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.15/0.37 fof(f453,plain,(
% 0.15/0.37 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f29,f452])).
% 0.15/0.37 fof(f454,plain,(
% 0.15/0.37 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c1,X0))|~spl0_0)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f442,f31])).
% 0.15/0.37 fof(f455,plain,(
% 0.15/0.37 ![X0]: (X0=multiply(sk_c8,multiply(sk_c1,X0))|~spl0_0)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f29,f454])).
% 0.15/0.37 fof(f457,plain,(
% 0.15/0.37 multiply(sk_c8,sk_c2)=multiply(sk_c1,identity)|~spl0_7|~spl0_9),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f443,f429])).
% 0.15/0.37 fof(f462,plain,(
% 0.15/0.37 ![X0]: (multiply(multiply(sk_c1,identity),X0)=multiply(sk_c8,multiply(sk_c2,X0))|~spl0_7|~spl0_9)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f457,f31])).
% 0.15/0.37 fof(f463,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c1,multiply(identity,X0))=multiply(sk_c8,multiply(sk_c2,X0))|~spl0_7|~spl0_9)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f31,f462])).
% 0.15/0.37 fof(f464,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c1,X0)=multiply(sk_c8,multiply(sk_c2,X0))|~spl0_7|~spl0_9)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f29,f463])).
% 0.15/0.37 fof(f465,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c1,multiply(sk_c7,X0))=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_7|~spl0_9|~spl0_8)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f430,f464])).
% 0.15/0.37 fof(f466,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_7|~spl0_9|~spl0_8)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f429,f465])).
% 0.15/0.37 fof(f473,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c8,multiply(sk_c2,X0))=multiply(sk_c8,multiply(sk_c1,X0))|~spl0_8|~spl0_7|~spl0_9)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f464,f466])).
% 0.15/0.37 fof(f474,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c1,X0)=multiply(sk_c8,multiply(sk_c1,X0))|~spl0_8|~spl0_7|~spl0_9)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f464,f473])).
% 0.15/0.37 fof(f475,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c1,X0)=X0|~spl0_0|~spl0_8|~spl0_7|~spl0_9)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f455,f474])).
% 0.15/0.37 fof(f486,plain,(
% 0.15/0.37 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c7,X0)|~spl0_0|~spl0_8|~spl0_9|~spl0_7)),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f475,f429])).
% 0.15/0.37 fof(f487,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_8|~spl0_7|~spl0_9|~spl0_0|spl0_17),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f475,f423])).
% 0.15/0.37 fof(f488,plain,(
% 0.15/0.37 ~spl0_21|~spl0_8|~spl0_7|~spl0_9|~spl0_0|spl0_17),
% 0.15/0.37 inference(split_clause,[status(thm)],[f487,f171,f94,f85,f103,f58,f149])).
% 0.15/0.37 fof(f489,plain,(
% 0.15/0.37 sk_c7=sk_c8|~spl0_0|~spl0_8|~spl0_9|~spl0_7),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f475,f86])).
% 0.15/0.37 fof(f492,plain,(
% 0.15/0.37 ![X0]: (X0=multiply(sk_c8,X0)|~spl0_8|~spl0_7|~spl0_9|~spl0_0)),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f475,f455])).
% 0.15/0.37 fof(f507,plain,(
% 0.15/0.37 ~multiply(sk_c8,sk_c7)=sk_c8|~spl0_0|~spl0_8|~spl0_9|~spl0_7|spl0_19),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f486,f159])).
% 0.15/0.37 fof(f508,plain,(
% 0.15/0.37 ~sk_c7=sk_c8|~spl0_0|~spl0_8|~spl0_9|~spl0_7|spl0_19),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f492,f507])).
% 0.15/0.37 fof(f509,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_0|~spl0_8|~spl0_9|~spl0_7|spl0_19),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f489,f508])).
% 0.15/0.37 fof(f510,plain,(
% 0.15/0.37 $false|~spl0_0|~spl0_8|~spl0_9|~spl0_7|spl0_19),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f509])).
% 0.15/0.37 fof(f511,plain,(
% 0.15/0.37 ~spl0_0|~spl0_8|~spl0_9|~spl0_7|spl0_19),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f510])).
% 0.15/0.37 fof(f531,plain,(
% 0.15/0.37 sk_c1=identity|~spl0_8|~spl0_7|~spl0_9|~spl0_0),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f492,f442])).
% 0.15/0.37 fof(f536,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_13)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f492,f125])).
% 0.15/0.37 fof(f537,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_13)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f489,f536])).
% 0.15/0.37 fof(f538,plain,(
% 0.15/0.37 ~sk_c7=sk_c8|~spl0_8|~spl0_7|~spl0_9|~spl0_0|spl0_16),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f492,f146])).
% 0.15/0.37 fof(f539,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_8|~spl0_7|~spl0_9|~spl0_0|spl0_16),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f489,f538])).
% 0.15/0.37 fof(f540,plain,(
% 0.15/0.37 $false|~spl0_8|~spl0_7|~spl0_9|~spl0_0|spl0_16),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f539])).
% 0.15/0.37 fof(f541,plain,(
% 0.15/0.37 ~spl0_8|~spl0_7|~spl0_9|~spl0_0|spl0_16),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f540])).
% 0.15/0.37 fof(f543,plain,(
% 0.15/0.37 inverse(identity)=sk_c8|~spl0_8|~spl0_7|~spl0_9|~spl0_0),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f531,f59])).
% 0.15/0.37 fof(f552,plain,(
% 0.15/0.37 ~multiply(identity,sk_c8)=sk_c8|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_13),
% 0.15/0.37 inference(resolution,[status(thm)],[f543,f537])).
% 0.15/0.37 fof(f553,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_13),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f29,f552])).
% 0.15/0.37 fof(f554,plain,(
% 0.15/0.37 $false|~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_13),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f553])).
% 0.15/0.37 fof(f555,plain,(
% 0.15/0.37 ~spl0_8|~spl0_7|~spl0_9|~spl0_0|~spl0_13),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f554])).
% 0.15/0.37 fof(f581,plain,(
% 0.15/0.37 spl0_41 <=> sk_c8=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f583,plain,(
% 0.15/0.37 ~sk_c8=sk_c7|spl0_41),
% 0.15/0.37 inference(component_clause,[status(thm)],[f581])).
% 0.15/0.37 fof(f586,plain,(
% 0.15/0.37 spl0_42 <=> multiply(sk_c3,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f588,plain,(
% 0.15/0.37 ~multiply(sk_c3,sk_c7)=sk_c8|spl0_42),
% 0.15/0.37 inference(component_clause,[status(thm)],[f586])).
% 0.15/0.37 fof(f589,plain,(
% 0.15/0.37 spl0_43 <=> sk_c4=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f591,plain,(
% 0.15/0.37 ~sk_c4=sk_c7|spl0_43),
% 0.15/0.37 inference(component_clause,[status(thm)],[f589])).
% 0.15/0.37 fof(f592,plain,(
% 0.15/0.37 ~multiply(sk_c3,sk_c7)=sk_c8|~sk_c4=sk_c7|~spl0_11|~spl0_2),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f66,f116])).
% 0.15/0.37 fof(f593,plain,(
% 0.15/0.37 ~spl0_42|~spl0_43|~spl0_11|~spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f592,f586,f589,f115,f65])).
% 0.15/0.37 fof(f594,plain,(
% 0.15/0.37 ~multiply(sk_c1,sk_c7)=sk_c8|~sk_c8=sk_c7|~spl0_11|~spl0_0),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f59,f116])).
% 0.15/0.37 fof(f595,plain,(
% 0.15/0.37 ~spl0_7|~spl0_41|~spl0_11|~spl0_0),
% 0.15/0.37 inference(split_clause,[status(thm)],[f594,f85,f581,f115,f58])).
% 0.15/0.37 fof(f609,plain,(
% 0.15/0.37 sk_c7=multiply(inverse(sk_c5),multiply(sk_c6,sk_c6))|~spl0_5|~spl0_4),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f198,f453])).
% 0.15/0.37 fof(f610,plain,(
% 0.15/0.37 sk_c7=multiply(sk_c8,multiply(sk_c6,sk_c6))|~spl0_6|~spl0_5|~spl0_4),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f82,f609])).
% 0.15/0.37 fof(f611,plain,(
% 0.15/0.37 sk_c7=multiply(sk_c7,sk_c6)|~spl0_6|~spl0_5|~spl0_4),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f179,f610])).
% 0.15/0.37 fof(f612,plain,(
% 0.15/0.37 sk_c8=multiply(inverse(sk_c5),sk_c6)|~spl0_5),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f78,f453])).
% 0.15/0.37 fof(f613,plain,(
% 0.15/0.37 sk_c8=multiply(sk_c8,sk_c6)|~spl0_6|~spl0_5),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f82,f612])).
% 0.15/0.37 fof(f614,plain,(
% 0.15/0.37 sk_c8=sk_c7|~spl0_4|~spl0_6|~spl0_5),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f74,f613])).
% 0.15/0.37 fof(f615,plain,(
% 0.15/0.37 $false|spl0_41|~spl0_4|~spl0_6|~spl0_5),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f614,f583])).
% 0.15/0.37 fof(f616,plain,(
% 0.15/0.37 spl0_41|~spl0_4|~spl0_6|~spl0_5),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f615])).
% 0.15/0.37 fof(f630,plain,(
% 0.15/0.37 sk_c4=multiply(inverse(sk_c3),sk_c8)|~spl0_1),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f62,f453])).
% 0.15/0.37 fof(f631,plain,(
% 0.15/0.37 sk_c4=multiply(sk_c4,sk_c8)|~spl0_2|~spl0_1),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f66,f630])).
% 0.15/0.37 fof(f637,plain,(
% 0.15/0.37 multiply(sk_c8,sk_c7)=multiply(sk_c3,sk_c7)|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_4),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f611,f270])).
% 0.15/0.37 fof(f651,plain,(
% 0.15/0.37 ~multiply(sk_c8,sk_c7)=sk_c8|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_4|spl0_42),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f637,f588])).
% 0.15/0.37 fof(f652,plain,(
% 0.15/0.37 ~multiply(sk_c8,sk_c8)=sk_c8|~spl0_6|~spl0_5|~spl0_1|~spl0_3|~spl0_4|spl0_42),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f614,f651])).
% 0.15/0.37 fof(f670,plain,(
% 0.15/0.37 multiply(sk_c4,sk_c8)=sk_c8|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f614,f70])).
% 0.15/0.37 fof(f671,plain,(
% 0.15/0.37 sk_c4=sk_c8|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f631,f670])).
% 0.15/0.37 fof(f709,plain,(
% 0.15/0.37 ~sk_c4=sk_c8|~spl0_4|~spl0_6|~spl0_5|spl0_43),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f614,f591])).
% 0.15/0.37 fof(f710,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_2|~spl0_1|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_43),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f671,f709])).
% 0.15/0.37 fof(f711,plain,(
% 0.15/0.37 $false|~spl0_2|~spl0_1|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_43),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f710])).
% 0.15/0.37 fof(f712,plain,(
% 0.15/0.37 ~spl0_2|~spl0_1|~spl0_3|~spl0_4|~spl0_6|~spl0_5|spl0_43),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f711])).
% 0.15/0.37 fof(f727,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c8|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f671,f66])).
% 0.15/0.37 fof(f728,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c8)=sk_c8|~spl0_2|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_1),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f671,f62])).
% 0.15/0.37 fof(f730,plain,(
% 0.15/0.37 sk_c4=multiply(sk_c8,sk_c8)|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f671,f631])).
% 0.15/0.37 fof(f731,plain,(
% 0.15/0.37 sk_c8=multiply(sk_c8,sk_c8)|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f671,f730])).
% 0.15/0.37 fof(f732,plain,(
% 0.15/0.37 $false|spl0_42|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f731,f652])).
% 0.15/0.37 fof(f733,plain,(
% 0.15/0.37 spl0_42|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f732])).
% 0.15/0.37 fof(f762,plain,(
% 0.15/0.37 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c8|~spl0_4|~spl0_6|~spl0_5|~spl0_10)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f614,f113])).
% 0.15/0.37 fof(f812,plain,(
% 0.15/0.37 ~multiply(sk_c3,sk_c8)=sk_c8|~spl0_10|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2),
% 0.15/0.37 inference(resolution,[status(thm)],[f762,f727])).
% 0.15/0.37 fof(f813,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_10|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f728,f812])).
% 0.15/0.37 fof(f814,plain,(
% 0.15/0.37 $false|~spl0_10|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f813])).
% 0.15/0.37 fof(f815,plain,(
% 0.15/0.37 ~spl0_10|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f814])).
% 0.15/0.37 fof(f816,plain,(
% 0.15/0.37 $false),
% 0.15/0.37 inference(sat_refutation,[status(thm)],[f64,f68,f72,f76,f80,f84,f88,f89,f90,f91,f92,f93,f97,f98,f99,f100,f101,f102,f106,f107,f108,f109,f110,f111,f124,f127,f135,f140,f153,f161,f165,f419,f422,f428,f488,f511,f541,f555,f593,f595,f616,f712,f733,f815])).
% 0.15/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.59 % Elapsed time: 0.069182 seconds
% 0.25/0.59 % CPU time: 0.196459 seconds
% 0.25/0.59 % Memory used: 30.483 MB
%------------------------------------------------------------------------------