TSTP Solution File: GRP319-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP319-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:11:19 EDT 2023
% Result : Unsatisfiable 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.07 % Problem : GRP319-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 11:32:46 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.34 fof(f1,axiom,(
% 0.11/0.34 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f2,axiom,(
% 0.11/0.34 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f3,axiom,(
% 0.11/0.34 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f4,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f5,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c4) = sk_c9 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f6,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f7,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f8,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f9,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f10,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f11,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f12,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f13,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f14,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f16,negated_conjecture,(
% 0.11/0.34 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f17,negated_conjecture,(
% 0.11/0.34 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f18,negated_conjecture,(
% 0.11/0.34 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f19,negated_conjecture,(
% 0.11/0.34 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f20,negated_conjecture,(
% 0.11/0.34 ( inverse(sk_c1) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f22,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f23,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f24,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f25,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f26,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f28,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f29,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c4) = sk_c9 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f30,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f31,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f32,negated_conjecture,(
% 0.11/0.34 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c6) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f34,negated_conjecture,(
% 0.11/0.34 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f35,negated_conjecture,(
% 0.11/0.34 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f36,negated_conjecture,(
% 0.11/0.34 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f37,negated_conjecture,(
% 0.11/0.34 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f38,negated_conjecture,(
% 0.11/0.34 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f40,negated_conjecture,(
% 0.11/0.34 (![X4,X5,X6,X1,X2,X3]: (( multiply(sk_c8,sk_c9) != sk_c7| multiply(X4,sk_c8) != sk_c9| inverse(X4) != sk_c8| multiply(sk_c9,X5) != sk_c8| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| inverse(X3) != sk_c7| multiply(X3,sk_c9) != sk_c7 ) ))),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f41,plain,(
% 0.11/0.34 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f1])).
% 0.11/0.34 fof(f42,plain,(
% 0.11/0.34 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f2])).
% 0.11/0.34 fof(f43,plain,(
% 0.11/0.34 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.34 fof(f44,plain,(
% 0.11/0.34 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c4,sk_c9)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f4])).
% 0.11/0.34 fof(f45,plain,(
% 0.11/0.34 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c4)=sk_c9),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f5])).
% 0.11/0.34 fof(f46,plain,(
% 0.11/0.34 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.11/0.34 fof(f47,plain,(
% 0.11/0.34 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f7])).
% 0.11/0.34 fof(f48,plain,(
% 0.11/0.34 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f8])).
% 0.11/0.34 fof(f49,plain,(
% 0.11/0.34 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c6,sk_c9)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f9])).
% 0.11/0.34 fof(f50,plain,(
% 0.11/0.34 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f10])).
% 0.11/0.34 fof(f51,plain,(
% 0.11/0.34 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f11])).
% 0.11/0.34 fof(f52,plain,(
% 0.11/0.34 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f12])).
% 0.11/0.34 fof(f53,plain,(
% 0.11/0.34 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f13])).
% 0.11/0.34 fof(f54,plain,(
% 0.11/0.34 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f14])).
% 0.11/0.34 fof(f56,plain,(
% 0.11/0.34 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f16])).
% 0.11/0.34 fof(f57,plain,(
% 0.11/0.34 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f17])).
% 0.11/0.34 fof(f58,plain,(
% 0.11/0.34 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f18])).
% 0.11/0.34 fof(f59,plain,(
% 0.11/0.34 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f19])).
% 0.11/0.34 fof(f60,plain,(
% 0.11/0.34 inverse(sk_c1)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f20])).
% 0.11/0.34 fof(f62,plain,(
% 0.11/0.34 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f22])).
% 0.11/0.34 fof(f63,plain,(
% 0.11/0.34 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f23])).
% 0.11/0.34 fof(f64,plain,(
% 0.11/0.34 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f24])).
% 0.11/0.34 fof(f65,plain,(
% 0.11/0.34 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f25])).
% 0.11/0.34 fof(f66,plain,(
% 0.11/0.34 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f26])).
% 0.11/0.34 fof(f68,plain,(
% 0.11/0.34 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c4,sk_c9)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f28])).
% 0.11/0.34 fof(f69,plain,(
% 0.11/0.34 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c4)=sk_c9),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f29])).
% 0.11/0.34 fof(f70,plain,(
% 0.11/0.34 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c5,sk_c8)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f30])).
% 0.11/0.34 fof(f71,plain,(
% 0.11/0.34 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f31])).
% 0.11/0.34 fof(f72,plain,(
% 0.11/0.34 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c6)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.34 fof(f74,plain,(
% 0.11/0.34 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f34])).
% 0.11/0.34 fof(f75,plain,(
% 0.11/0.34 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f35])).
% 0.11/0.34 fof(f76,plain,(
% 0.11/0.34 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f36])).
% 0.11/0.34 fof(f77,plain,(
% 0.11/0.34 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f37])).
% 0.11/0.34 fof(f78,plain,(
% 0.11/0.34 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f38])).
% 0.11/0.34 fof(f80,plain,(
% 0.11/0.34 ![X3]: (((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~multiply(sk_c8,sk_c9)=sk_c7|~multiply(X4,sk_c8)=sk_c9)|~inverse(X4)=sk_c8))|~multiply(sk_c9,X5)=sk_c8)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~inverse(X3)=sk_c7)|~multiply(X3,sk_c9)=sk_c7)),
% 0.11/0.34 inference(miniscoping,[status(esa)],[f40])).
% 0.11/0.34 fof(f81,plain,(
% 0.11/0.34 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c8,sk_c9)=sk_c7|~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9|~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9|~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8|~inverse(X5)=sk_c7|~multiply(X5,sk_c9)=sk_c7)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f80])).
% 0.11/0.34 fof(f82,plain,(
% 0.11/0.34 spl0_0 <=> multiply(sk_c8,sk_c9)=sk_c7),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f83,plain,(
% 0.11/0.34 multiply(sk_c8,sk_c9)=sk_c7|~spl0_0),
% 0.11/0.34 inference(component_clause,[status(thm)],[f82])).
% 0.11/0.34 fof(f84,plain,(
% 0.11/0.34 ~multiply(sk_c8,sk_c9)=sk_c7|spl0_0),
% 0.11/0.34 inference(component_clause,[status(thm)],[f82])).
% 0.11/0.34 fof(f85,plain,(
% 0.11/0.34 spl0_1 <=> multiply(sk_c4,sk_c9)=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f86,plain,(
% 0.11/0.34 multiply(sk_c4,sk_c9)=sk_c8|~spl0_1),
% 0.11/0.34 inference(component_clause,[status(thm)],[f85])).
% 0.11/0.34 fof(f88,plain,(
% 0.11/0.34 spl0_0|spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.11/0.34 fof(f89,plain,(
% 0.11/0.34 spl0_2 <=> inverse(sk_c4)=sk_c9),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f90,plain,(
% 0.11/0.34 inverse(sk_c4)=sk_c9|~spl0_2),
% 0.11/0.34 inference(component_clause,[status(thm)],[f89])).
% 0.11/0.34 fof(f91,plain,(
% 0.11/0.34 ~inverse(sk_c4)=sk_c9|spl0_2),
% 0.11/0.34 inference(component_clause,[status(thm)],[f89])).
% 0.11/0.34 fof(f92,plain,(
% 0.11/0.34 spl0_0|spl0_2),
% 0.11/0.34 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.11/0.34 fof(f93,plain,(
% 0.11/0.34 spl0_3 <=> multiply(sk_c5,sk_c8)=sk_c7),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f94,plain,(
% 0.11/0.34 multiply(sk_c5,sk_c8)=sk_c7|~spl0_3),
% 0.11/0.34 inference(component_clause,[status(thm)],[f93])).
% 0.11/0.34 fof(f96,plain,(
% 0.11/0.34 spl0_0|spl0_3),
% 0.11/0.34 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.11/0.34 fof(f97,plain,(
% 0.11/0.34 spl0_4 <=> inverse(sk_c5)=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f98,plain,(
% 0.11/0.34 inverse(sk_c5)=sk_c8|~spl0_4),
% 0.11/0.34 inference(component_clause,[status(thm)],[f97])).
% 0.11/0.34 fof(f100,plain,(
% 0.11/0.34 spl0_0|spl0_4),
% 0.11/0.34 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.11/0.34 fof(f101,plain,(
% 0.11/0.34 spl0_5 <=> inverse(sk_c6)=sk_c7),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f102,plain,(
% 0.11/0.34 inverse(sk_c6)=sk_c7|~spl0_5),
% 0.11/0.34 inference(component_clause,[status(thm)],[f101])).
% 0.11/0.34 fof(f104,plain,(
% 0.11/0.34 spl0_0|spl0_5),
% 0.11/0.34 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.11/0.34 fof(f105,plain,(
% 0.11/0.34 spl0_6 <=> multiply(sk_c6,sk_c9)=sk_c7),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f106,plain,(
% 0.11/0.34 multiply(sk_c6,sk_c9)=sk_c7|~spl0_6),
% 0.11/0.34 inference(component_clause,[status(thm)],[f105])).
% 0.11/0.34 fof(f108,plain,(
% 0.11/0.34 spl0_0|spl0_6),
% 0.11/0.34 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.11/0.34 fof(f109,plain,(
% 0.11/0.34 spl0_7 <=> multiply(sk_c1,sk_c8)=sk_c9),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f110,plain,(
% 0.11/0.34 multiply(sk_c1,sk_c8)=sk_c9|~spl0_7),
% 0.11/0.34 inference(component_clause,[status(thm)],[f109])).
% 0.11/0.34 fof(f112,plain,(
% 0.11/0.34 spl0_7|spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.11/0.34 fof(f113,plain,(
% 0.11/0.34 spl0_7|spl0_2),
% 0.11/0.34 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.11/0.34 fof(f114,plain,(
% 0.11/0.34 spl0_7|spl0_3),
% 0.11/0.34 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.11/0.34 fof(f115,plain,(
% 0.11/0.34 spl0_7|spl0_4),
% 0.11/0.34 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.11/0.34 fof(f116,plain,(
% 0.11/0.34 spl0_7|spl0_5),
% 0.11/0.34 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.11/0.34 fof(f118,plain,(
% 0.11/0.34 spl0_8 <=> inverse(sk_c1)=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f119,plain,(
% 0.11/0.34 inverse(sk_c1)=sk_c8|~spl0_8),
% 0.11/0.34 inference(component_clause,[status(thm)],[f118])).
% 0.11/0.34 fof(f121,plain,(
% 0.11/0.34 spl0_8|spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.11/0.34 fof(f122,plain,(
% 0.11/0.34 spl0_8|spl0_2),
% 0.11/0.34 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.11/0.34 fof(f123,plain,(
% 0.11/0.34 spl0_8|spl0_3),
% 0.11/0.34 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.11/0.34 fof(f124,plain,(
% 0.11/0.34 spl0_8|spl0_4),
% 0.11/0.34 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.11/0.34 fof(f125,plain,(
% 0.11/0.34 spl0_8|spl0_5),
% 0.11/0.34 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.11/0.34 fof(f127,plain,(
% 0.11/0.34 spl0_9 <=> multiply(sk_c9,sk_c3)=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f128,plain,(
% 0.11/0.34 multiply(sk_c9,sk_c3)=sk_c8|~spl0_9),
% 0.11/0.34 inference(component_clause,[status(thm)],[f127])).
% 0.11/0.34 fof(f130,plain,(
% 0.11/0.34 spl0_9|spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.11/0.34 fof(f131,plain,(
% 0.11/0.34 spl0_9|spl0_2),
% 0.11/0.34 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.11/0.34 fof(f132,plain,(
% 0.11/0.34 spl0_9|spl0_3),
% 0.11/0.34 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.11/0.34 fof(f133,plain,(
% 0.11/0.34 spl0_9|spl0_4),
% 0.11/0.34 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.11/0.34 fof(f134,plain,(
% 0.11/0.34 spl0_9|spl0_5),
% 0.11/0.34 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.11/0.34 fof(f136,plain,(
% 0.11/0.34 spl0_10 <=> multiply(sk_c2,sk_c9)=sk_c3),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f137,plain,(
% 0.11/0.34 multiply(sk_c2,sk_c9)=sk_c3|~spl0_10),
% 0.11/0.34 inference(component_clause,[status(thm)],[f136])).
% 0.11/0.34 fof(f139,plain,(
% 0.11/0.34 spl0_10|spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.11/0.34 fof(f140,plain,(
% 0.11/0.34 spl0_10|spl0_2),
% 0.11/0.34 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.11/0.34 fof(f141,plain,(
% 0.11/0.34 spl0_10|spl0_3),
% 0.11/0.34 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.11/0.34 fof(f142,plain,(
% 0.11/0.34 spl0_10|spl0_4),
% 0.11/0.34 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.11/0.34 fof(f143,plain,(
% 0.11/0.34 spl0_10|spl0_5),
% 0.11/0.34 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.11/0.34 fof(f145,plain,(
% 0.11/0.34 spl0_11 <=> inverse(sk_c2)=sk_c9),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f146,plain,(
% 0.11/0.34 inverse(sk_c2)=sk_c9|~spl0_11),
% 0.11/0.34 inference(component_clause,[status(thm)],[f145])).
% 0.11/0.34 fof(f148,plain,(
% 0.11/0.34 spl0_11|spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.11/0.34 fof(f149,plain,(
% 0.11/0.34 spl0_11|spl0_2),
% 0.11/0.34 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.11/0.34 fof(f150,plain,(
% 0.11/0.34 spl0_11|spl0_3),
% 0.11/0.34 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.11/0.34 fof(f151,plain,(
% 0.11/0.34 spl0_11|spl0_4),
% 0.11/0.34 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.11/0.34 fof(f152,plain,(
% 0.11/0.34 spl0_11|spl0_5),
% 0.11/0.34 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.11/0.34 fof(f154,plain,(
% 0.11/0.34 spl0_12 <=> ~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f155,plain,(
% 0.11/0.34 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~spl0_12)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f154])).
% 0.11/0.34 fof(f157,plain,(
% 0.11/0.34 spl0_13 <=> ~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f158,plain,(
% 0.11/0.34 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~spl0_13)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f157])).
% 0.11/0.34 fof(f160,plain,(
% 0.11/0.34 spl0_14 <=> ~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f161,plain,(
% 0.11/0.34 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_14)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f160])).
% 0.11/0.34 fof(f163,plain,(
% 0.11/0.34 spl0_15 <=> ~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f164,plain,(
% 0.11/0.34 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_15)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f163])).
% 0.11/0.34 fof(f166,plain,(
% 0.11/0.34 spl0_16 <=> ~inverse(X5)=sk_c7|~multiply(X5,sk_c9)=sk_c7),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f167,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c9)=sk_c7|~spl0_16)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f166])).
% 0.11/0.34 fof(f169,plain,(
% 0.11/0.34 ~spl0_0|spl0_12|spl0_13|spl0_14|spl0_15|spl0_16),
% 0.11/0.34 inference(split_clause,[status(thm)],[f81,f82,f154,f157,f160,f163,f166])).
% 0.11/0.34 fof(f174,plain,(
% 0.11/0.34 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.11/0.34 fof(f175,plain,(
% 0.11/0.34 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f41,f174])).
% 0.11/0.34 fof(f176,plain,(
% 0.11/0.34 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f175,f175])).
% 0.11/0.34 fof(f177,plain,(
% 0.11/0.34 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f42,f175])).
% 0.11/0.34 fof(f179,plain,(
% 0.11/0.34 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f43,f175])).
% 0.11/0.34 fof(f186,plain,(
% 0.11/0.34 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f175,f176])).
% 0.11/0.34 fof(f187,plain,(
% 0.11/0.34 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f42,f176])).
% 0.11/0.34 fof(f196,plain,(
% 0.11/0.34 inverse(identity)=identity),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f41,f187])).
% 0.11/0.34 fof(f215,plain,(
% 0.11/0.34 ![X0]: (X0=multiply(X0,identity))),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f176,f177])).
% 0.11/0.34 fof(f216,plain,(
% 0.11/0.34 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f176,f215])).
% 0.11/0.34 fof(f217,plain,(
% 0.11/0.34 ![X0]: (inverse(inverse(X0))=X0)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f215,f216])).
% 0.11/0.34 fof(f268,plain,(
% 0.11/0.34 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f187,f179])).
% 0.11/0.34 fof(f269,plain,(
% 0.11/0.34 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f215,f268])).
% 0.11/0.34 fof(f364,plain,(
% 0.11/0.34 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f269,f269])).
% 0.11/0.34 fof(f365,plain,(
% 0.11/0.34 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f217,f364])).
% 0.11/0.34 fof(f642,plain,(
% 0.11/0.34 inverse(sk_c9)=sk_c2|~spl0_11),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f146,f217])).
% 0.11/0.34 fof(f647,plain,(
% 0.11/0.34 inverse(sk_c8)=sk_c1|~spl0_8),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f119,f217])).
% 0.11/0.34 fof(f652,plain,(
% 0.11/0.34 inverse(sk_c7)=sk_c6|~spl0_5),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f102,f217])).
% 0.11/0.34 fof(f657,plain,(
% 0.11/0.34 inverse(sk_c8)=sk_c5|~spl0_4),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f98,f217])).
% 0.11/0.34 fof(f658,plain,(
% 0.11/0.34 multiply(sk_c5,sk_c8)=identity|~spl0_4),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f98,f187])).
% 0.11/0.34 fof(f662,plain,(
% 0.11/0.34 inverse(sk_c9)=sk_c4|~spl0_2),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f90,f217])).
% 0.11/0.34 fof(f663,plain,(
% 0.11/0.34 multiply(sk_c4,sk_c9)=identity|~spl0_2),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f90,f187])).
% 0.11/0.34 fof(f680,plain,(
% 0.11/0.34 multiply(sk_c2,sk_c9)=identity|~spl0_11),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f642,f42])).
% 0.11/0.34 fof(f681,plain,(
% 0.11/0.34 sk_c3=identity|~spl0_10|~spl0_11),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f137,f680])).
% 0.11/0.34 fof(f693,plain,(
% 0.11/0.34 sk_c1=sk_c5|~spl0_8|~spl0_4),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f647,f657])).
% 0.11/0.34 fof(f694,plain,(
% 0.11/0.34 inverse(sk_c8)=sk_c5|~spl0_4|~spl0_8),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f693,f647])).
% 0.11/0.34 fof(f696,plain,(
% 0.11/0.34 sk_c2=sk_c4|~spl0_11|~spl0_2),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f642,f662])).
% 0.11/0.34 fof(f697,plain,(
% 0.11/0.34 inverse(sk_c9)=sk_c4|~spl0_2|~spl0_11),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f696,f642])).
% 0.11/0.34 fof(f709,plain,(
% 0.11/0.34 multiply(sk_c9,identity)=sk_c8|~spl0_10|~spl0_11|~spl0_9),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f681,f128])).
% 0.11/0.34 fof(f710,plain,(
% 0.11/0.34 sk_c9=sk_c8|~spl0_10|~spl0_11|~spl0_9),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f215,f709])).
% 0.11/0.34 fof(f711,plain,(
% 0.11/0.34 inverse(sk_c8)=sk_c4|~spl0_10|~spl0_9|~spl0_2|~spl0_11),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f710,f697])).
% 0.11/0.34 fof(f712,plain,(
% 0.11/0.34 sk_c5=sk_c4|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f694,f711])).
% 0.11/0.34 fof(f713,plain,(
% 0.11/0.34 inverse(sk_c4)=sk_c8|~spl0_10|~spl0_11|~spl0_9|~spl0_2),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f710,f90])).
% 0.11/0.34 fof(f714,plain,(
% 0.11/0.34 inverse(sk_c8)=sk_c4|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_4|~spl0_8),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f712,f694])).
% 0.11/0.34 fof(f715,plain,(
% 0.11/0.34 sk_c1=sk_c4|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_8|~spl0_4),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f712,f693])).
% 0.11/0.34 fof(f717,plain,(
% 0.11/0.34 multiply(sk_c1,sk_c8)=sk_c8|~spl0_10|~spl0_11|~spl0_9|~spl0_7),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f710,f110])).
% 0.11/0.34 fof(f720,plain,(
% 0.11/0.34 inverse(sk_c1)=multiply(sk_c8,inverse(sk_c8))|~spl0_10|~spl0_11|~spl0_9|~spl0_7),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f717,f365])).
% 0.11/0.34 fof(f721,plain,(
% 0.11/0.34 inverse(sk_c1)=identity|~spl0_10|~spl0_11|~spl0_9|~spl0_7),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f187,f720])).
% 0.11/0.34 fof(f752,plain,(
% 0.11/0.34 inverse(sk_c4)=identity|~spl0_2|~spl0_8|~spl0_4|~spl0_10|~spl0_11|~spl0_9|~spl0_7),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f715,f721])).
% 0.11/0.34 fof(f753,plain,(
% 0.11/0.34 sk_c8=identity|~spl0_2|~spl0_8|~spl0_4|~spl0_10|~spl0_11|~spl0_9|~spl0_7),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f713,f752])).
% 0.11/0.34 fof(f754,plain,(
% 0.11/0.34 inverse(identity)=sk_c4|~spl0_7|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_4|~spl0_8),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f753,f714])).
% 0.11/0.34 fof(f755,plain,(
% 0.11/0.34 identity=sk_c4|~spl0_7|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_4|~spl0_8),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f754])).
% 0.11/0.34 fof(f759,plain,(
% 0.11/0.34 sk_c9=identity|~spl0_2|~spl0_8|~spl0_4|~spl0_7|~spl0_10|~spl0_11|~spl0_9),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f753,f710])).
% 0.11/0.34 fof(f761,plain,(
% 0.11/0.34 sk_c5=identity|~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f755,f712])).
% 0.11/0.34 fof(f773,plain,(
% 0.11/0.34 multiply(identity,sk_c8)=sk_c7|~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_3),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f761,f94])).
% 0.11/0.34 fof(f774,plain,(
% 0.11/0.34 sk_c8=sk_c7|~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_3),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f41,f773])).
% 0.11/0.34 fof(f775,plain,(
% 0.11/0.34 identity=sk_c7|~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_3),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f753,f774])).
% 0.11/0.34 fof(f782,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c9)=sk_c7|~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_3|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f775,f167])).
% 0.11/0.34 fof(f783,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_3|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f759,f782])).
% 0.11/0.34 fof(f784,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_3|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f215,f783])).
% 0.11/0.34 fof(f785,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_3|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f775,f784])).
% 0.11/0.34 fof(f786,plain,(
% 0.11/0.34 ~inverse(identity)=identity|~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_3|~spl0_16),
% 0.11/0.34 inference(destructive_equality_resolution,[status(esa)],[f785])).
% 0.11/0.34 fof(f787,plain,(
% 0.11/0.34 $false|~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_3|~spl0_16),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f786,f196])).
% 0.11/0.34 fof(f788,plain,(
% 0.11/0.34 ~spl0_7|~spl0_4|~spl0_8|~spl0_10|~spl0_9|~spl0_2|~spl0_11|~spl0_3|~spl0_16),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f787])).
% 0.11/0.34 fof(f789,plain,(
% 0.11/0.34 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~spl0_13)),
% 0.11/0.34 inference(destructive_equality_resolution,[status(esa)],[f158])).
% 0.11/0.34 fof(f1611,plain,(
% 0.11/0.34 inverse(identity)=sk_c1|~spl0_10|~spl0_11|~spl0_9|~spl0_7),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f721,f217])).
% 0.11/0.34 fof(f1612,plain,(
% 0.11/0.34 identity=sk_c1|~spl0_10|~spl0_11|~spl0_9|~spl0_7),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f1611])).
% 0.11/0.34 fof(f1640,plain,(
% 0.11/0.34 inverse(identity)=sk_c8|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f1612,f119])).
% 0.11/0.34 fof(f1641,plain,(
% 0.11/0.34 identity=sk_c8|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f1640])).
% 0.11/0.34 fof(f1642,plain,(
% 0.11/0.34 sk_c9=identity|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f1641,f710])).
% 0.11/0.34 fof(f1650,plain,(
% 0.11/0.34 ~inverse(sk_c4)=identity|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|spl0_2),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f1642,f91])).
% 0.11/0.34 fof(f1677,plain,(
% 0.11/0.34 multiply(identity,sk_c9)=sk_c7|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f1641,f83])).
% 0.11/0.34 fof(f1678,plain,(
% 0.11/0.34 sk_c9=sk_c7|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f41,f1677])).
% 0.11/0.34 fof(f1679,plain,(
% 0.11/0.34 identity=sk_c7|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f1642,f1678])).
% 0.11/0.34 fof(f1685,plain,(
% 0.11/0.34 multiply(sk_c4,identity)=sk_c8|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|~spl0_1),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f1642,f86])).
% 0.11/0.34 fof(f1686,plain,(
% 0.11/0.34 sk_c4=sk_c8|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|~spl0_1),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f215,f1685])).
% 0.11/0.34 fof(f1687,plain,(
% 0.11/0.34 sk_c4=identity|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|~spl0_1),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f1641,f1686])).
% 0.11/0.34 fof(f1688,plain,(
% 0.11/0.34 ~inverse(identity)=identity|~spl0_1|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|spl0_2),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f1687,f1650])).
% 0.11/0.34 fof(f1689,plain,(
% 0.11/0.34 ~identity=identity|~spl0_1|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|spl0_2),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f1688])).
% 0.11/0.34 fof(f1690,plain,(
% 0.11/0.34 $false|~spl0_1|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|spl0_2),
% 0.11/0.34 inference(trivial_equality_resolution,[status(esa)],[f1689])).
% 0.11/0.34 fof(f1691,plain,(
% 0.11/0.34 ~spl0_1|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|spl0_2),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f1690])).
% 0.11/0.34 fof(f2325,plain,(
% 0.11/0.34 spl0_17 <=> sk_c7=sk_c7),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2327,plain,(
% 0.11/0.34 ~sk_c7=sk_c7|spl0_17),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2325])).
% 0.11/0.34 fof(f2335,plain,(
% 0.11/0.34 spl0_19 <=> identity=sk_c7),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2338,plain,(
% 0.11/0.34 spl0_20 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2340,plain,(
% 0.11/0.34 ~inverse(inverse(sk_c8))=sk_c8|spl0_20),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2338])).
% 0.11/0.34 fof(f2341,plain,(
% 0.11/0.34 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_15),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f42,f164])).
% 0.11/0.34 fof(f2342,plain,(
% 0.11/0.34 ~spl0_19|~spl0_20|~spl0_15),
% 0.11/0.34 inference(split_clause,[status(thm)],[f2341,f2335,f2338,f163])).
% 0.11/0.34 fof(f2343,plain,(
% 0.11/0.34 spl0_21 <=> sk_c8=sk_c7),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2345,plain,(
% 0.11/0.34 ~sk_c8=sk_c7|spl0_21),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2343])).
% 0.11/0.34 fof(f2346,plain,(
% 0.11/0.34 spl0_22 <=> inverse(identity)=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2347,plain,(
% 0.11/0.34 inverse(identity)=sk_c8|~spl0_22),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2346])).
% 0.11/0.34 fof(f2348,plain,(
% 0.11/0.34 ~inverse(identity)=sk_c8|spl0_22),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2346])).
% 0.11/0.34 fof(f2349,plain,(
% 0.11/0.34 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~spl0_15),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f41,f164])).
% 0.11/0.34 fof(f2350,plain,(
% 0.11/0.34 ~spl0_21|~spl0_22|~spl0_15),
% 0.11/0.34 inference(split_clause,[status(thm)],[f2349,f2343,f2346,f163])).
% 0.11/0.34 fof(f2352,plain,(
% 0.11/0.34 ~identity=sk_c8|spl0_22),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f2348])).
% 0.11/0.34 fof(f2353,plain,(
% 0.11/0.34 ~sk_c8=sk_c8|spl0_20),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f217,f2340])).
% 0.11/0.34 fof(f2354,plain,(
% 0.11/0.34 $false|spl0_20),
% 0.11/0.34 inference(trivial_equality_resolution,[status(esa)],[f2353])).
% 0.11/0.34 fof(f2355,plain,(
% 0.11/0.34 spl0_20),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f2354])).
% 0.11/0.34 fof(f2356,plain,(
% 0.11/0.34 $false|spl0_17),
% 0.11/0.34 inference(trivial_equality_resolution,[status(esa)],[f2327])).
% 0.11/0.34 fof(f2357,plain,(
% 0.11/0.34 spl0_17),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f2356])).
% 0.11/0.34 fof(f2374,plain,(
% 0.11/0.34 inverse(sk_c8)=sk_c5|~spl0_4),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f98,f217])).
% 0.11/0.34 fof(f2418,plain,(
% 0.11/0.34 spl0_23 <=> sk_c9=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2420,plain,(
% 0.11/0.34 ~sk_c9=sk_c8|spl0_23),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2418])).
% 0.11/0.34 fof(f2421,plain,(
% 0.11/0.34 spl0_24 <=> inverse(inverse(sk_c9))=sk_c9),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2423,plain,(
% 0.11/0.34 ~inverse(inverse(sk_c9))=sk_c9|spl0_24),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2421])).
% 0.11/0.34 fof(f2424,plain,(
% 0.11/0.34 ~sk_c9=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~spl0_13),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f186,f789])).
% 0.11/0.34 fof(f2425,plain,(
% 0.11/0.34 ~spl0_23|~spl0_24|~spl0_13),
% 0.11/0.34 inference(split_clause,[status(thm)],[f2424,f2418,f2421,f157])).
% 0.11/0.34 fof(f2428,plain,(
% 0.11/0.34 spl0_25 <=> multiply(sk_c9,identity)=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2430,plain,(
% 0.11/0.34 ~multiply(sk_c9,identity)=sk_c8|spl0_25),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2428])).
% 0.11/0.34 fof(f2431,plain,(
% 0.11/0.34 ~multiply(sk_c9,identity)=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~spl0_13),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f42,f789])).
% 0.11/0.34 fof(f2432,plain,(
% 0.11/0.34 ~spl0_25|~spl0_24|~spl0_13),
% 0.11/0.34 inference(split_clause,[status(thm)],[f2431,f2428,f2421,f157])).
% 0.11/0.34 fof(f2433,plain,(
% 0.11/0.34 spl0_26 <=> multiply(sk_c9,sk_c9)=sk_c8),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2436,plain,(
% 0.11/0.34 spl0_27 <=> inverse(identity)=sk_c9),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2437,plain,(
% 0.11/0.34 inverse(identity)=sk_c9|~spl0_27),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2436])).
% 0.11/0.34 fof(f2438,plain,(
% 0.11/0.34 ~inverse(identity)=sk_c9|spl0_27),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2436])).
% 0.11/0.34 fof(f2439,plain,(
% 0.11/0.34 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(identity)=sk_c9|~spl0_13),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f41,f789])).
% 0.11/0.34 fof(f2440,plain,(
% 0.11/0.34 ~spl0_26|~spl0_27|~spl0_13),
% 0.11/0.34 inference(split_clause,[status(thm)],[f2439,f2433,f2436,f157])).
% 0.11/0.34 fof(f2442,plain,(
% 0.11/0.34 ~identity=sk_c9|spl0_27),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f2438])).
% 0.11/0.34 fof(f2442,plain,(
% 0.11/0.34 ~identity=sk_c9|spl0_27),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f2438])).
% 0.11/0.34 fof(f2443,plain,(
% 0.11/0.34 ~sk_c9=sk_c8|spl0_25),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f215,f2430])).
% 0.11/0.34 fof(f2444,plain,(
% 0.11/0.34 ~sk_c9=sk_c9|spl0_24),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f217,f2423])).
% 0.11/0.34 fof(f2445,plain,(
% 0.11/0.34 $false|spl0_24),
% 0.11/0.34 inference(trivial_equality_resolution,[status(esa)],[f2444])).
% 0.11/0.34 fof(f2446,plain,(
% 0.11/0.34 spl0_24),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f2445])).
% 0.11/0.34 fof(f2449,plain,(
% 0.11/0.34 spl0_28 <=> identity=sk_c9),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2450,plain,(
% 0.11/0.34 identity=sk_c9|~spl0_28),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2449])).
% 0.11/0.34 fof(f2451,plain,(
% 0.11/0.34 ~identity=sk_c9|spl0_28),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2449])).
% 0.11/0.34 fof(f2452,plain,(
% 0.11/0.34 ~identity=sk_c9|~inverse(inverse(sk_c8))=sk_c8|~spl0_12),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f42,f155])).
% 0.11/0.34 fof(f2453,plain,(
% 0.11/0.34 ~spl0_28|~spl0_20|~spl0_12),
% 0.11/0.34 inference(split_clause,[status(thm)],[f2452,f2449,f2338,f154])).
% 0.11/0.34 fof(f2454,plain,(
% 0.11/0.34 ~sk_c8=sk_c9|~inverse(identity)=sk_c8|~spl0_12),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f41,f155])).
% 0.11/0.34 fof(f2455,plain,(
% 0.11/0.34 ~spl0_23|~spl0_22|~spl0_12),
% 0.11/0.34 inference(split_clause,[status(thm)],[f2454,f2418,f2346,f154])).
% 0.11/0.34 fof(f2562,plain,(
% 0.11/0.34 inverse(sk_c8)=multiply(sk_c9,inverse(sk_c7))|~spl0_0),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f83,f365])).
% 0.11/0.34 fof(f2563,plain,(
% 0.11/0.34 inverse(sk_c8)=multiply(sk_c9,sk_c6)|~spl0_5|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f652,f2562])).
% 0.11/0.34 fof(f2567,plain,(
% 0.11/0.34 sk_c9=multiply(inverse(sk_c8),sk_c7)|~spl0_0),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f83,f175])).
% 0.11/0.34 fof(f2946,plain,(
% 0.11/0.34 inverse(sk_c6)=multiply(sk_c9,inverse(sk_c7))|~spl0_6),
% 0.11/0.34 inference(paramodulation,[status(thm)],[f106,f365])).
% 0.11/0.34 fof(f2947,plain,(
% 0.11/0.34 sk_c7=multiply(sk_c9,inverse(sk_c7))|~spl0_5|~spl0_6),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f102,f2946])).
% 0.11/0.34 fof(f2948,plain,(
% 0.11/0.34 sk_c7=multiply(sk_c9,sk_c6)|~spl0_5|~spl0_6),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f652,f2947])).
% 0.11/0.34 fof(f2955,plain,(
% 0.11/0.34 sk_c8=identity|~spl0_1|~spl0_2),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f86,f663])).
% 0.11/0.34 fof(f2956,plain,(
% 0.11/0.34 $false|spl0_22|~spl0_1|~spl0_2),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f2955,f2352])).
% 0.11/0.34 fof(f2957,plain,(
% 0.11/0.34 spl0_22|~spl0_1|~spl0_2),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f2956])).
% 0.11/0.34 fof(f2958,plain,(
% 0.11/0.34 identity=sk_c8|~spl0_22),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f2347])).
% 0.11/0.34 fof(f2960,plain,(
% 0.11/0.34 inverse(identity)=sk_c5|~spl0_1|~spl0_2|~spl0_4),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f2955,f2374])).
% 0.11/0.34 fof(f2961,plain,(
% 0.11/0.34 identity=sk_c5|~spl0_1|~spl0_2|~spl0_4),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f2960])).
% 0.11/0.34 fof(f2962,plain,(
% 0.11/0.34 multiply(identity,sk_c9)=sk_c7|~spl0_1|~spl0_2|~spl0_0),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f2955,f83])).
% 0.11/0.34 fof(f2963,plain,(
% 0.11/0.34 sk_c9=sk_c7|~spl0_1|~spl0_2|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f41,f2962])).
% 0.11/0.34 fof(f2966,plain,(
% 0.11/0.34 ~identity=sk_c7|~spl0_1|~spl0_2|spl0_21),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f2955,f2345])).
% 0.11/0.34 fof(f2973,plain,(
% 0.11/0.34 ![X0]: (~multiply(X0,sk_c9)=identity|~inverse(X0)=sk_c9|~spl0_1|~spl0_2|~spl0_14)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f2955,f161])).
% 0.11/0.34 fof(f2974,plain,(
% 0.11/0.34 ~inverse(inverse(sk_c9))=sk_c9|~spl0_1|~spl0_2|~spl0_14),
% 0.11/0.34 inference(resolution,[status(thm)],[f2973,f42])).
% 0.11/0.34 fof(f2975,plain,(
% 0.11/0.34 ~spl0_24|~spl0_1|~spl0_2|~spl0_14),
% 0.11/0.34 inference(split_clause,[status(thm)],[f2974,f2421,f85,f89,f160])).
% 0.11/0.34 fof(f2978,plain,(
% 0.11/0.34 spl0_29 <=> identity=identity),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f2980,plain,(
% 0.11/0.34 ~identity=identity|spl0_29),
% 0.11/0.34 inference(component_clause,[status(thm)],[f2978])).
% 0.11/0.34 fof(f2986,plain,(
% 0.11/0.34 $false|spl0_29),
% 0.11/0.34 inference(trivial_equality_resolution,[status(esa)],[f2980])).
% 0.11/0.34 fof(f2987,plain,(
% 0.11/0.34 spl0_29),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f2986])).
% 0.11/0.34 fof(f2992,plain,(
% 0.11/0.34 $false|spl0_27|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f1642,f2442])).
% 0.11/0.34 fof(f2993,plain,(
% 0.11/0.34 spl0_27|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f2992])).
% 0.11/0.34 fof(f3004,plain,(
% 0.11/0.34 identity=sk_c9|~spl0_27),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f2437])).
% 0.11/0.34 fof(f3013,plain,(
% 0.11/0.34 $false|spl0_22|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f1641,f2352])).
% 0.11/0.34 fof(f3014,plain,(
% 0.11/0.34 spl0_22|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f3013])).
% 0.11/0.34 fof(f3015,plain,(
% 0.11/0.34 sk_c7=identity|~spl0_3|~spl0_4),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f94,f658])).
% 0.11/0.34 fof(f3015,plain,(
% 0.11/0.34 sk_c7=identity|~spl0_3|~spl0_4),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f94,f658])).
% 0.11/0.34 fof(f3021,plain,(
% 0.11/0.34 ~identity=sk_c9|~spl0_0|~spl0_1|~spl0_2|spl0_21),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f2963,f2966])).
% 0.11/0.34 fof(f3022,plain,(
% 0.11/0.34 ~sk_c9=identity|~spl0_1|~spl0_2|spl0_25),
% 0.11/0.34 inference(backward_demodulation,[status(thm)],[f2955,f2443])).
% 0.11/0.34 fof(f3025,plain,(
% 0.11/0.34 sk_c1=identity|~spl0_1|~spl0_2|~spl0_8|~spl0_4),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f2961,f693])).
% 0.11/0.34 fof(f3037,plain,(
% 0.11/0.34 inverse(identity)=sk_c8|~spl0_1|~spl0_2|~spl0_4|~spl0_8),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3025,f119])).
% 0.11/0.34 fof(f3038,plain,(
% 0.11/0.34 identity=sk_c8|~spl0_1|~spl0_2|~spl0_4|~spl0_8),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f3037])).
% 0.11/0.34 fof(f3040,plain,(
% 0.11/0.34 multiply(identity,sk_c8)=sk_c9|~spl0_1|~spl0_2|~spl0_8|~spl0_4|~spl0_7),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3025,f110])).
% 0.11/0.34 fof(f3041,plain,(
% 0.11/0.34 sk_c8=sk_c9|~spl0_1|~spl0_2|~spl0_8|~spl0_4|~spl0_7),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f41,f3040])).
% 0.11/0.34 fof(f3042,plain,(
% 0.11/0.34 identity=sk_c9|~spl0_1|~spl0_2|~spl0_8|~spl0_4|~spl0_7),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3038,f3041])).
% 0.11/0.34 fof(f3043,plain,(
% 0.11/0.34 $false|spl0_28|~spl0_1|~spl0_2|~spl0_8|~spl0_4|~spl0_7),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f3042,f2451])).
% 0.11/0.34 fof(f3044,plain,(
% 0.11/0.34 spl0_28|~spl0_1|~spl0_2|~spl0_8|~spl0_4|~spl0_7),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f3043])).
% 0.11/0.34 fof(f3045,plain,(
% 0.11/0.34 $false|spl0_28|~spl0_27),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f3004,f2451])).
% 0.11/0.34 fof(f3046,plain,(
% 0.11/0.34 spl0_28|~spl0_27),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f3045])).
% 0.11/0.34 fof(f3047,plain,(
% 0.11/0.34 ~spl0_28|~spl0_1|~spl0_2|spl0_25),
% 0.11/0.34 inference(split_clause,[status(thm)],[f3022,f2449,f85,f89,f2428])).
% 0.11/0.34 fof(f3050,plain,(
% 0.11/0.34 ~spl0_28|spl0_27),
% 0.11/0.34 inference(split_clause,[status(thm)],[f2442,f2449,f2436])).
% 0.11/0.34 fof(f3648,plain,(
% 0.11/0.34 ~identity=sk_c8|~spl0_28|spl0_23),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f2450,f2420])).
% 0.11/0.34 fof(f3649,plain,(
% 0.11/0.34 ~identity=identity|~spl0_22|~spl0_28|spl0_23),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f2958,f3648])).
% 0.11/0.34 fof(f3650,plain,(
% 0.11/0.34 $false|~spl0_22|~spl0_28|spl0_23),
% 0.11/0.34 inference(trivial_equality_resolution,[status(esa)],[f3649])).
% 0.11/0.34 fof(f3651,plain,(
% 0.11/0.34 ~spl0_22|~spl0_28|spl0_23),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f3650])).
% 0.11/0.34 fof(f3659,plain,(
% 0.11/0.34 ~sk_c9=identity|~spl0_22|spl0_23),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f2958,f2420])).
% 0.11/0.34 fof(f3672,plain,(
% 0.11/0.34 inverse(identity)=multiply(sk_c9,sk_c6)|~spl0_22|~spl0_5|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f2958,f2563])).
% 0.11/0.34 fof(f3673,plain,(
% 0.11/0.34 identity=multiply(sk_c9,sk_c6)|~spl0_22|~spl0_5|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f3672])).
% 0.11/0.34 fof(f3674,plain,(
% 0.11/0.34 sk_c9=multiply(inverse(identity),sk_c7)|~spl0_22|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f2958,f2567])).
% 0.11/0.34 fof(f3675,plain,(
% 0.11/0.34 sk_c9=multiply(identity,sk_c7)|~spl0_22|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f3674])).
% 0.11/0.34 fof(f3676,plain,(
% 0.11/0.34 sk_c9=sk_c7|~spl0_22|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f41,f3675])).
% 0.11/0.34 fof(f3677,plain,(
% 0.11/0.34 sk_c9=identity|~spl0_3|~spl0_4|~spl0_22|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3015,f3676])).
% 0.11/0.34 fof(f3682,plain,(
% 0.11/0.34 multiply(identity,sk_c9)=sk_c7|~spl0_22|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f2958,f83])).
% 0.11/0.34 fof(f3683,plain,(
% 0.11/0.34 sk_c9=sk_c7|~spl0_22|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f41,f3682])).
% 0.11/0.34 fof(f3684,plain,(
% 0.11/0.34 sk_c9=identity|~spl0_3|~spl0_4|~spl0_22|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3015,f3683])).
% 0.11/0.34 fof(f3700,plain,(
% 0.11/0.34 $false|spl0_23|~spl0_3|~spl0_4|~spl0_22|~spl0_0),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f3677,f3659])).
% 0.11/0.34 fof(f3701,plain,(
% 0.11/0.34 spl0_23|~spl0_3|~spl0_4|~spl0_22|~spl0_0),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f3700])).
% 0.11/0.34 fof(f3702,plain,(
% 0.11/0.34 ~multiply(identity,sk_c9)=sk_c7|~spl0_22|spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f2958,f84])).
% 0.11/0.34 fof(f3703,plain,(
% 0.11/0.34 ~sk_c9=sk_c7|~spl0_22|spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f41,f3702])).
% 0.11/0.34 fof(f3704,plain,(
% 0.11/0.34 ~sk_c9=identity|~spl0_3|~spl0_4|~spl0_22|spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3015,f3703])).
% 0.11/0.34 fof(f3705,plain,(
% 0.11/0.34 inverse(identity)=sk_c6|~spl0_3|~spl0_4|~spl0_5),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3015,f652])).
% 0.11/0.34 fof(f3706,plain,(
% 0.11/0.34 identity=sk_c6|~spl0_3|~spl0_4|~spl0_5),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f196,f3705])).
% 0.11/0.34 fof(f3753,plain,(
% 0.11/0.34 identity=multiply(sk_c9,sk_c6)|~spl0_3|~spl0_4|~spl0_5|~spl0_6),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3015,f2948])).
% 0.11/0.34 fof(f3754,plain,(
% 0.11/0.34 identity=multiply(sk_c9,identity)|~spl0_3|~spl0_4|~spl0_5|~spl0_6),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3706,f3753])).
% 0.11/0.34 fof(f3755,plain,(
% 0.11/0.34 identity=sk_c9|~spl0_3|~spl0_4|~spl0_5|~spl0_6),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f215,f3754])).
% 0.11/0.34 fof(f3756,plain,(
% 0.11/0.34 $false|~spl0_22|spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_6),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f3755,f3704])).
% 0.11/0.34 fof(f3757,plain,(
% 0.11/0.34 ~spl0_22|spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_6),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f3756])).
% 0.11/0.34 fof(f3761,plain,(
% 0.11/0.34 identity=multiply(sk_c9,identity)|~spl0_3|~spl0_4|~spl0_22|~spl0_5|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3706,f3673])).
% 0.11/0.34 fof(f3762,plain,(
% 0.11/0.34 identity=sk_c9|~spl0_3|~spl0_4|~spl0_22|~spl0_5|~spl0_0),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f215,f3761])).
% 0.11/0.34 fof(f3763,plain,(
% 0.11/0.34 spl0_28|~spl0_3|~spl0_4|~spl0_22|~spl0_0),
% 0.11/0.34 inference(split_clause,[status(thm)],[f3684,f2449,f93,f97,f2346,f82])).
% 0.11/0.34 fof(f3779,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c9)=sk_c7|~spl0_3|~spl0_4|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3015,f167])).
% 0.11/0.34 fof(f3780,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c9)=identity|~spl0_3|~spl0_4|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3015,f3779])).
% 0.11/0.34 fof(f5713,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_22|~spl0_5|~spl0_0|~spl0_3|~spl0_4|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f3762,f3780])).
% 0.11/0.34 fof(f5714,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_22|~spl0_5|~spl0_0|~spl0_3|~spl0_4|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f215,f5713])).
% 0.11/0.34 fof(f5715,plain,(
% 0.11/0.34 ~inverse(identity)=identity|~spl0_22|~spl0_5|~spl0_0|~spl0_3|~spl0_4|~spl0_16),
% 0.11/0.34 inference(destructive_equality_resolution,[status(esa)],[f5714])).
% 0.11/0.34 fof(f5716,plain,(
% 0.11/0.34 $false|~spl0_22|~spl0_5|~spl0_0|~spl0_3|~spl0_4|~spl0_16),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f5715,f196])).
% 0.11/0.34 fof(f5717,plain,(
% 0.11/0.34 ~spl0_22|~spl0_5|~spl0_0|~spl0_3|~spl0_4|~spl0_16),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f5716])).
% 0.11/0.34 fof(f6848,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c9)=sk_c7|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f1679,f167])).
% 0.11/0.34 fof(f6849,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f1642,f6848])).
% 0.11/0.34 fof(f6850,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f215,f6849])).
% 0.11/0.34 fof(f6851,plain,(
% 0.11/0.34 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_16)),
% 0.11/0.34 inference(forward_demodulation,[status(thm)],[f1679,f6850])).
% 0.11/0.34 fof(f6852,plain,(
% 0.11/0.34 ~inverse(identity)=identity|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_16),
% 0.11/0.34 inference(destructive_equality_resolution,[status(esa)],[f6851])).
% 0.11/0.34 fof(f6853,plain,(
% 0.11/0.34 $false|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_16),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f6852,f196])).
% 0.11/0.34 fof(f6854,plain,(
% 0.11/0.34 ~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_16),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f6853])).
% 0.11/0.38 fof(f6861,plain,(
% 0.11/0.38 ~identity=sk_c7|~spl0_22|spl0_21),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f2958,f2345])).
% 0.11/0.38 fof(f6862,plain,(
% 0.11/0.38 ~identity=identity|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_22|spl0_21),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f1679,f6861])).
% 0.11/0.38 fof(f6863,plain,(
% 0.11/0.38 $false|~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_22|spl0_21),
% 0.11/0.38 inference(trivial_equality_resolution,[status(esa)],[f6862])).
% 0.11/0.38 fof(f6864,plain,(
% 0.11/0.38 ~spl0_10|~spl0_11|~spl0_9|~spl0_7|~spl0_8|~spl0_0|~spl0_22|spl0_21),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f6863])).
% 0.11/0.38 fof(f6873,plain,(
% 0.11/0.38 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c9|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|~spl0_14)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f1642,f161])).
% 0.11/0.38 fof(f6874,plain,(
% 0.11/0.38 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c9|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|~spl0_14)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f215,f6873])).
% 0.11/0.38 fof(f6875,plain,(
% 0.11/0.38 ![X0]: (~X0=identity|~inverse(X0)=sk_c9|~spl0_22|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|~spl0_14)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f2958,f6874])).
% 0.11/0.38 fof(f6876,plain,(
% 0.11/0.38 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_22|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|~spl0_14)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f1642,f6875])).
% 0.11/0.38 fof(f6877,plain,(
% 0.11/0.38 ~inverse(identity)=identity|~spl0_22|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|~spl0_14),
% 0.11/0.38 inference(destructive_equality_resolution,[status(esa)],[f6876])).
% 0.11/0.38 fof(f6878,plain,(
% 0.11/0.38 $false|~spl0_22|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|~spl0_14),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f6877,f196])).
% 0.11/0.38 fof(f6879,plain,(
% 0.11/0.38 ~spl0_22|~spl0_7|~spl0_8|~spl0_10|~spl0_11|~spl0_9|~spl0_14),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f6878])).
% 0.11/0.38 fof(f6921,plain,(
% 0.11/0.38 ~spl0_28|~spl0_0|~spl0_1|~spl0_2|spl0_21),
% 0.11/0.38 inference(split_clause,[status(thm)],[f3021,f2449,f82,f85,f89,f2343])).
% 0.11/0.38 fof(f6938,plain,(
% 0.11/0.38 spl0_19|~spl0_3|~spl0_4),
% 0.11/0.38 inference(split_clause,[status(thm)],[f3015,f2335,f93,f97])).
% 0.11/0.38 fof(f6944,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f121,f122,f123,f124,f125,f130,f131,f132,f133,f134,f139,f140,f141,f142,f143,f148,f149,f150,f151,f152,f169,f788,f1691,f2342,f2350,f2355,f2357,f2425,f2432,f2440,f2446,f2453,f2455,f2957,f2975,f2987,f2993,f3014,f3044,f3046,f3047,f3050,f3651,f3701,f3757,f3763,f5717,f6854,f6864,f6879,f6921,f6938])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.38 % Elapsed time: 0.109642 seconds
% 0.11/0.38 % CPU time: 0.155804 seconds
% 0.11/0.38 % Memory used: 24.551 MB
%------------------------------------------------------------------------------