TSTP Solution File: GRP384-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP384-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:11:32 EDT 2023
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP384-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n025.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:38:27 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f1,axiom,(
% 0.15/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f2,axiom,(
% 0.15/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f3,axiom,(
% 0.15/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f4,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f5,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f6,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f7,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f8,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f9,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f11,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f12,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c11) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f14,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c10,sk_c9) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f15,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c10,sk_c9) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f16,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c10,sk_c9) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f17,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c10,sk_c9) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f24,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f25,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f26,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f27,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f36,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f37,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f38,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f39,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f40,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f42,negated_conjecture,(
% 0.15/0.39 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f46,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f47,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f48,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f49,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f50,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f52,negated_conjecture,(
% 0.15/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c6) = sk_c8 ) ),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f64,negated_conjecture,(
% 0.15/0.39 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( inverse(sk_c11) != sk_c10| multiply(sk_c10,sk_c9) != sk_c11| multiply(sk_c11,sk_c9) != sk_c10| multiply(X3,X4) != sk_c10| inverse(X3) != X4| multiply(X4,sk_c9) != sk_c10| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| multiply(X5,X6) != sk_c11| inverse(X5) != X6| multiply(X6,sk_c10) != sk_c11| inverse(X7) != X8| inverse(X8) != X6| multiply(X7,X6) != X8 ) ))),
% 0.15/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f65,plain,(
% 0.15/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.39 fof(f66,plain,(
% 0.15/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.39 fof(f67,plain,(
% 0.15/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.39 fof(f68,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.39 fof(f69,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.39 fof(f70,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.39 fof(f71,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.39 fof(f72,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.39 fof(f73,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.39 fof(f75,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.39 fof(f76,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.39 fof(f78,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c9)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.39 fof(f79,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c9)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.39 fof(f80,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c9)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.39 fof(f81,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c9)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.39 fof(f88,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.39 fof(f89,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.39 fof(f90,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f26])).
% 0.15/0.39 fof(f91,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f27])).
% 0.15/0.39 fof(f100,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f36])).
% 0.15/0.39 fof(f101,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f37])).
% 0.15/0.39 fof(f102,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f38])).
% 0.15/0.39 fof(f103,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f39])).
% 0.15/0.39 fof(f104,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f40])).
% 0.15/0.39 fof(f106,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f42])).
% 0.15/0.39 fof(f110,plain,(
% 0.15/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.39 fof(f111,plain,(
% 0.15/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c10),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f47])).
% 0.15/0.39 fof(f112,plain,(
% 0.15/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f48])).
% 0.15/0.39 fof(f113,plain,(
% 0.15/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f49])).
% 0.15/0.39 fof(f114,plain,(
% 0.15/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c10)=sk_c11),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f50])).
% 0.15/0.39 fof(f116,plain,(
% 0.15/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c6)=sk_c8),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f52])).
% 0.15/0.39 fof(f128,plain,(
% 0.15/0.39 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: (((![X4]: ((![X3]: ((((~inverse(sk_c11)=sk_c10|~multiply(sk_c10,sk_c9)=sk_c11)|~multiply(sk_c11,sk_c9)=sk_c10)|~multiply(X3,X4)=sk_c10)|~inverse(X3)=X4))|~multiply(X4,sk_c9)=sk_c10))|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~multiply(X5,X6)=sk_c11)|~inverse(X5)=X6))|~multiply(X6,sk_c10)=sk_c11)|~inverse(X7)=X8)|~inverse(X8)=X6)|~multiply(X7,X6)=X8)),
% 0.15/0.39 inference(miniscoping,[status(esa)],[f64])).
% 0.15/0.39 fof(f129,plain,(
% 0.15/0.39 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~inverse(sk_c11)=sk_c10|~multiply(sk_c10,sk_c9)=sk_c11|~multiply(sk_c11,sk_c9)=sk_c10|~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7)),
% 0.15/0.39 inference(cnf_transformation,[status(esa)],[f128])).
% 0.15/0.39 fof(f130,plain,(
% 0.15/0.39 spl0_0 <=> inverse(sk_c11)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f131,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c10|~spl0_0),
% 0.15/0.39 inference(component_clause,[status(thm)],[f130])).
% 0.15/0.39 fof(f132,plain,(
% 0.15/0.39 ~inverse(sk_c11)=sk_c10|spl0_0),
% 0.15/0.39 inference(component_clause,[status(thm)],[f130])).
% 0.15/0.39 fof(f133,plain,(
% 0.15/0.39 spl0_1 <=> multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f134,plain,(
% 0.15/0.39 multiply(sk_c3,sk_c11)=sk_c10|~spl0_1),
% 0.15/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.39 fof(f136,plain,(
% 0.15/0.39 spl0_0|spl0_1),
% 0.15/0.39 inference(split_clause,[status(thm)],[f68,f130,f133])).
% 0.15/0.39 fof(f137,plain,(
% 0.15/0.39 spl0_2 <=> inverse(sk_c3)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f138,plain,(
% 0.15/0.39 inverse(sk_c3)=sk_c11|~spl0_2),
% 0.15/0.39 inference(component_clause,[status(thm)],[f137])).
% 0.15/0.39 fof(f140,plain,(
% 0.15/0.39 spl0_0|spl0_2),
% 0.15/0.39 inference(split_clause,[status(thm)],[f69,f130,f137])).
% 0.15/0.39 fof(f141,plain,(
% 0.15/0.39 spl0_3 <=> multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f142,plain,(
% 0.15/0.39 multiply(sk_c4,sk_c10)=sk_c9|~spl0_3),
% 0.15/0.39 inference(component_clause,[status(thm)],[f141])).
% 0.15/0.39 fof(f144,plain,(
% 0.15/0.39 spl0_0|spl0_3),
% 0.15/0.39 inference(split_clause,[status(thm)],[f70,f130,f141])).
% 0.15/0.39 fof(f145,plain,(
% 0.15/0.39 spl0_4 <=> inverse(sk_c4)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f146,plain,(
% 0.15/0.39 inverse(sk_c4)=sk_c10|~spl0_4),
% 0.15/0.39 inference(component_clause,[status(thm)],[f145])).
% 0.15/0.39 fof(f148,plain,(
% 0.15/0.39 spl0_0|spl0_4),
% 0.15/0.39 inference(split_clause,[status(thm)],[f71,f130,f145])).
% 0.15/0.39 fof(f149,plain,(
% 0.15/0.39 spl0_5 <=> multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f150,plain,(
% 0.15/0.39 multiply(sk_c5,sk_c8)=sk_c11|~spl0_5),
% 0.15/0.39 inference(component_clause,[status(thm)],[f149])).
% 0.15/0.39 fof(f152,plain,(
% 0.15/0.39 spl0_0|spl0_5),
% 0.15/0.39 inference(split_clause,[status(thm)],[f72,f130,f149])).
% 0.15/0.39 fof(f153,plain,(
% 0.15/0.39 spl0_6 <=> inverse(sk_c5)=sk_c8),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f154,plain,(
% 0.15/0.39 inverse(sk_c5)=sk_c8|~spl0_6),
% 0.15/0.39 inference(component_clause,[status(thm)],[f153])).
% 0.15/0.39 fof(f156,plain,(
% 0.15/0.39 spl0_0|spl0_6),
% 0.15/0.39 inference(split_clause,[status(thm)],[f73,f130,f153])).
% 0.15/0.39 fof(f157,plain,(
% 0.15/0.39 spl0_7 <=> multiply(sk_c8,sk_c10)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f158,plain,(
% 0.15/0.39 multiply(sk_c8,sk_c10)=sk_c11|~spl0_7),
% 0.15/0.39 inference(component_clause,[status(thm)],[f157])).
% 0.15/0.39 fof(f161,plain,(
% 0.15/0.39 spl0_8 <=> inverse(sk_c7)=sk_c6),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f162,plain,(
% 0.15/0.39 inverse(sk_c7)=sk_c6|~spl0_8),
% 0.15/0.39 inference(component_clause,[status(thm)],[f161])).
% 0.15/0.39 fof(f164,plain,(
% 0.15/0.39 spl0_0|spl0_8),
% 0.15/0.39 inference(split_clause,[status(thm)],[f75,f130,f161])).
% 0.15/0.39 fof(f165,plain,(
% 0.15/0.39 spl0_9 <=> inverse(sk_c6)=sk_c8),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f166,plain,(
% 0.15/0.39 inverse(sk_c6)=sk_c8|~spl0_9),
% 0.15/0.39 inference(component_clause,[status(thm)],[f165])).
% 0.15/0.39 fof(f168,plain,(
% 0.15/0.39 spl0_0|spl0_9),
% 0.15/0.39 inference(split_clause,[status(thm)],[f76,f130,f165])).
% 0.15/0.39 fof(f173,plain,(
% 0.15/0.39 spl0_11 <=> multiply(sk_c10,sk_c9)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f174,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c9)=sk_c11|~spl0_11),
% 0.15/0.39 inference(component_clause,[status(thm)],[f173])).
% 0.15/0.39 fof(f175,plain,(
% 0.15/0.39 ~multiply(sk_c10,sk_c9)=sk_c11|spl0_11),
% 0.15/0.39 inference(component_clause,[status(thm)],[f173])).
% 0.15/0.39 fof(f176,plain,(
% 0.15/0.39 spl0_11|spl0_1),
% 0.15/0.39 inference(split_clause,[status(thm)],[f78,f173,f133])).
% 0.15/0.39 fof(f177,plain,(
% 0.15/0.39 spl0_11|spl0_2),
% 0.15/0.39 inference(split_clause,[status(thm)],[f79,f173,f137])).
% 0.15/0.39 fof(f178,plain,(
% 0.15/0.39 spl0_11|spl0_3),
% 0.15/0.39 inference(split_clause,[status(thm)],[f80,f173,f141])).
% 0.15/0.39 fof(f179,plain,(
% 0.15/0.39 spl0_11|spl0_4),
% 0.15/0.39 inference(split_clause,[status(thm)],[f81,f173,f145])).
% 0.15/0.39 fof(f186,plain,(
% 0.15/0.39 spl0_12 <=> multiply(sk_c11,sk_c9)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f187,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c9)=sk_c10|~spl0_12),
% 0.15/0.39 inference(component_clause,[status(thm)],[f186])).
% 0.15/0.39 fof(f188,plain,(
% 0.15/0.39 ~multiply(sk_c11,sk_c9)=sk_c10|spl0_12),
% 0.15/0.39 inference(component_clause,[status(thm)],[f186])).
% 0.15/0.39 fof(f189,plain,(
% 0.15/0.39 spl0_12|spl0_1),
% 0.15/0.39 inference(split_clause,[status(thm)],[f88,f186,f133])).
% 0.15/0.39 fof(f190,plain,(
% 0.15/0.39 spl0_12|spl0_2),
% 0.15/0.39 inference(split_clause,[status(thm)],[f89,f186,f137])).
% 0.15/0.39 fof(f191,plain,(
% 0.15/0.39 spl0_12|spl0_3),
% 0.15/0.39 inference(split_clause,[status(thm)],[f90,f186,f141])).
% 0.15/0.39 fof(f192,plain,(
% 0.15/0.39 spl0_12|spl0_4),
% 0.15/0.39 inference(split_clause,[status(thm)],[f91,f186,f145])).
% 0.15/0.39 fof(f199,plain,(
% 0.15/0.39 spl0_13 <=> multiply(sk_c1,sk_c2)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f200,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=sk_c10|~spl0_13),
% 0.15/0.39 inference(component_clause,[status(thm)],[f199])).
% 0.15/0.39 fof(f204,plain,(
% 0.15/0.39 spl0_13|spl0_3),
% 0.15/0.39 inference(split_clause,[status(thm)],[f100,f199,f141])).
% 0.15/0.39 fof(f205,plain,(
% 0.15/0.39 spl0_13|spl0_4),
% 0.15/0.39 inference(split_clause,[status(thm)],[f101,f199,f145])).
% 0.15/0.39 fof(f206,plain,(
% 0.15/0.39 spl0_13|spl0_5),
% 0.15/0.39 inference(split_clause,[status(thm)],[f102,f199,f149])).
% 0.15/0.39 fof(f207,plain,(
% 0.15/0.39 spl0_13|spl0_6),
% 0.15/0.39 inference(split_clause,[status(thm)],[f103,f199,f153])).
% 0.15/0.39 fof(f208,plain,(
% 0.15/0.39 spl0_13|spl0_7),
% 0.15/0.39 inference(split_clause,[status(thm)],[f104,f199,f157])).
% 0.15/0.39 fof(f210,plain,(
% 0.15/0.39 spl0_13|spl0_9),
% 0.15/0.39 inference(split_clause,[status(thm)],[f106,f199,f165])).
% 0.15/0.39 fof(f212,plain,(
% 0.15/0.39 spl0_14 <=> inverse(sk_c1)=sk_c2),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f213,plain,(
% 0.15/0.39 inverse(sk_c1)=sk_c2|~spl0_14),
% 0.15/0.39 inference(component_clause,[status(thm)],[f212])).
% 0.15/0.39 fof(f217,plain,(
% 0.15/0.39 spl0_14|spl0_3),
% 0.15/0.39 inference(split_clause,[status(thm)],[f110,f212,f141])).
% 0.15/0.39 fof(f218,plain,(
% 0.15/0.39 spl0_14|spl0_4),
% 0.15/0.39 inference(split_clause,[status(thm)],[f111,f212,f145])).
% 0.15/0.39 fof(f219,plain,(
% 0.15/0.39 spl0_14|spl0_5),
% 0.15/0.39 inference(split_clause,[status(thm)],[f112,f212,f149])).
% 0.15/0.39 fof(f220,plain,(
% 0.15/0.39 spl0_14|spl0_6),
% 0.15/0.39 inference(split_clause,[status(thm)],[f113,f212,f153])).
% 0.15/0.39 fof(f221,plain,(
% 0.15/0.39 spl0_14|spl0_7),
% 0.15/0.39 inference(split_clause,[status(thm)],[f114,f212,f157])).
% 0.15/0.39 fof(f223,plain,(
% 0.15/0.39 spl0_14|spl0_9),
% 0.15/0.39 inference(split_clause,[status(thm)],[f116,f212,f165])).
% 0.15/0.39 fof(f238,plain,(
% 0.15/0.39 spl0_16 <=> ~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f239,plain,(
% 0.15/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~spl0_16)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f238])).
% 0.15/0.39 fof(f241,plain,(
% 0.15/0.39 spl0_17 <=> ~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f242,plain,(
% 0.15/0.39 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~spl0_17)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f241])).
% 0.15/0.39 fof(f244,plain,(
% 0.15/0.39 spl0_18 <=> ~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f245,plain,(
% 0.15/0.39 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_18)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f244])).
% 0.15/0.39 fof(f247,plain,(
% 0.15/0.39 spl0_19 <=> ~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f248,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~spl0_19)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f247])).
% 0.15/0.39 fof(f250,plain,(
% 0.15/0.39 ~spl0_0|~spl0_11|~spl0_12|spl0_16|spl0_17|spl0_18|spl0_19),
% 0.15/0.39 inference(split_clause,[status(thm)],[f129,f130,f173,f186,f238,f241,f244,f247])).
% 0.15/0.39 fof(f251,plain,(
% 0.15/0.39 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_19)),
% 0.15/0.39 inference(destructive_equality_resolution,[status(esa)],[f248])).
% 0.15/0.39 fof(f256,plain,(
% 0.15/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f66,f67])).
% 0.15/0.39 fof(f257,plain,(
% 0.15/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f65,f256])).
% 0.15/0.39 fof(f258,plain,(
% 0.15/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f257,f257])).
% 0.15/0.39 fof(f259,plain,(
% 0.15/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f66,f257])).
% 0.15/0.39 fof(f261,plain,(
% 0.15/0.39 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f67,f257])).
% 0.15/0.39 fof(f268,plain,(
% 0.15/0.39 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f257,f258])).
% 0.15/0.39 fof(f269,plain,(
% 0.15/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f66,f258])).
% 0.15/0.39 fof(f278,plain,(
% 0.15/0.39 inverse(identity)=identity),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f65,f269])).
% 0.15/0.39 fof(f297,plain,(
% 0.15/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f258,f259])).
% 0.15/0.39 fof(f298,plain,(
% 0.15/0.39 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f258,f297])).
% 0.15/0.39 fof(f299,plain,(
% 0.15/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f297,f298])).
% 0.15/0.39 fof(f325,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X0))))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f67,f261])).
% 0.15/0.39 fof(f326,plain,(
% 0.15/0.39 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(X3,X0)))))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f67,f325])).
% 0.15/0.39 fof(f350,plain,(
% 0.15/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f269,f261])).
% 0.15/0.39 fof(f351,plain,(
% 0.15/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f297,f350])).
% 0.15/0.39 fof(f375,plain,(
% 0.15/0.39 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(inverse(multiply(X2,X0)),multiply(X2,X1)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f268,f261])).
% 0.15/0.39 fof(f446,plain,(
% 0.15/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f351,f351])).
% 0.15/0.39 fof(f447,plain,(
% 0.15/0.39 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f299,f446])).
% 0.15/0.39 fof(f448,plain,(
% 0.15/0.39 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f257,f351])).
% 0.15/0.39 fof(f725,plain,(
% 0.15/0.39 multiply(sk_c1,sk_c2)=identity|~spl0_14),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f213,f269])).
% 0.15/0.39 fof(f729,plain,(
% 0.15/0.39 inverse(sk_c8)=sk_c6|~spl0_9),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f166,f299])).
% 0.15/0.39 fof(f734,plain,(
% 0.15/0.39 inverse(sk_c6)=sk_c7|~spl0_8),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f162,f299])).
% 0.15/0.39 fof(f735,plain,(
% 0.15/0.39 sk_c8=sk_c7|~spl0_9|~spl0_8),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f166,f734])).
% 0.15/0.39 fof(f738,plain,(
% 0.15/0.39 multiply(sk_c6,sk_c7)=identity|~spl0_8),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f162,f66])).
% 0.15/0.39 fof(f741,plain,(
% 0.15/0.39 inverse(sk_c8)=sk_c5|~spl0_6),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f154,f299])).
% 0.15/0.39 fof(f754,plain,(
% 0.15/0.39 inverse(sk_c10)=sk_c4|~spl0_4),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f146,f299])).
% 0.15/0.39 fof(f755,plain,(
% 0.15/0.39 multiply(sk_c4,sk_c10)=identity|~spl0_4),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f146,f269])).
% 0.15/0.39 fof(f759,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c3|~spl0_2),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f138,f299])).
% 0.15/0.39 fof(f764,plain,(
% 0.15/0.39 inverse(sk_c10)=sk_c11|~spl0_0),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f131,f299])).
% 0.15/0.39 fof(f778,plain,(
% 0.15/0.39 sk_c6=sk_c5|~spl0_9|~spl0_6),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f729,f741])).
% 0.15/0.39 fof(f779,plain,(
% 0.15/0.39 inverse(sk_c8)=sk_c5|~spl0_6|~spl0_9),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f778,f729])).
% 0.15/0.39 fof(f786,plain,(
% 0.15/0.39 sk_c10=sk_c3|~spl0_0|~spl0_2),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f131,f759])).
% 0.15/0.39 fof(f787,plain,(
% 0.15/0.39 inverse(sk_c10)=sk_c11|~spl0_0|~spl0_2),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f786,f138])).
% 0.15/0.39 fof(f788,plain,(
% 0.15/0.39 sk_c4=sk_c11|~spl0_4|~spl0_0|~spl0_2),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f754,f787])).
% 0.15/0.39 fof(f843,plain,(
% 0.15/0.39 inverse(sk_c5)=multiply(sk_c8,inverse(sk_c11))|~spl0_5),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f150,f447])).
% 0.15/0.39 fof(f844,plain,(
% 0.15/0.39 sk_c8=multiply(sk_c8,inverse(sk_c11))|~spl0_6|~spl0_5),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f154,f843])).
% 0.15/0.39 fof(f845,plain,(
% 0.15/0.39 sk_c8=multiply(sk_c8,sk_c10)|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f131,f844])).
% 0.15/0.39 fof(f846,plain,(
% 0.15/0.39 sk_c8=sk_c11|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f158,f845])).
% 0.15/0.39 fof(f856,plain,(
% 0.15/0.39 multiply(sk_c5,sk_c11)=sk_c11|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f846,f150])).
% 0.15/0.39 fof(f858,plain,(
% 0.15/0.39 inverse(sk_c11)=sk_c5|~spl0_7|~spl0_0|~spl0_5|~spl0_6|~spl0_9),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f846,f779])).
% 0.15/0.39 fof(f859,plain,(
% 0.15/0.39 sk_c10=sk_c5|~spl0_7|~spl0_0|~spl0_5|~spl0_6|~spl0_9),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f131,f858])).
% 0.15/0.39 fof(f866,plain,(
% 0.15/0.39 multiply(sk_c11,sk_c10)=sk_c9|~spl0_4|~spl0_0|~spl0_2|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f788,f142])).
% 0.15/0.39 fof(f878,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c11)=sk_c10|~spl0_0|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f786,f134])).
% 0.15/0.39 fof(f879,plain,(
% 0.15/0.39 ![X0,X1]: (sk_c11=multiply(inverse(multiply(X0,multiply(X1,sk_c10))),multiply(X0,multiply(X1,sk_c10)))|~spl0_0|~spl0_2|~spl0_1)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f878,f326])).
% 0.15/0.39 fof(f880,plain,(
% 0.15/0.39 sk_c11=identity|~spl0_0|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f66,f879])).
% 0.15/0.39 fof(f886,plain,(
% 0.15/0.39 inverse(sk_c11)=multiply(inverse(sk_c10),sk_c10)|~spl0_0|~spl0_2|~spl0_1),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f878,f351])).
% 0.15/0.39 fof(f887,plain,(
% 0.15/0.39 sk_c10=multiply(inverse(sk_c10),sk_c10)|~spl0_0|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f131,f886])).
% 0.15/0.39 fof(f888,plain,(
% 0.15/0.39 sk_c10=identity|~spl0_0|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f66,f887])).
% 0.15/0.39 fof(f905,plain,(
% 0.15/0.39 ![X0,X1]: (~identity=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_19)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f269,f251])).
% 0.15/0.39 fof(f931,plain,(
% 0.15/0.39 spl0_24 <=> multiply(inverse(identity),sk_c10)=identity),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f932,plain,(
% 0.15/0.39 multiply(inverse(identity),sk_c10)=identity|~spl0_24),
% 0.15/0.39 inference(component_clause,[status(thm)],[f931])).
% 0.15/0.39 fof(f933,plain,(
% 0.15/0.39 ~multiply(inverse(identity),sk_c10)=identity|spl0_24),
% 0.15/0.39 inference(component_clause,[status(thm)],[f931])).
% 0.15/0.39 fof(f934,plain,(
% 0.15/0.39 spl0_25 <=> multiply(identity,inverse(identity))=inverse(inverse(identity))),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f936,plain,(
% 0.15/0.39 ~multiply(identity,inverse(identity))=inverse(inverse(identity))|spl0_25),
% 0.15/0.39 inference(component_clause,[status(thm)],[f934])).
% 0.15/0.39 fof(f953,plain,(
% 0.15/0.39 spl0_28 <=> multiply(inverse(identity),identity)=inverse(inverse(identity))),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f955,plain,(
% 0.15/0.39 ~multiply(inverse(identity),identity)=inverse(inverse(identity))|spl0_28),
% 0.15/0.39 inference(component_clause,[status(thm)],[f953])).
% 0.15/0.39 fof(f958,plain,(
% 0.15/0.39 ~identity=inverse(inverse(identity))|spl0_28),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f66,f955])).
% 0.15/0.39 fof(f959,plain,(
% 0.15/0.39 ~identity=identity|spl0_28),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f299,f958])).
% 0.15/0.39 fof(f960,plain,(
% 0.15/0.39 $false|spl0_28),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f959])).
% 0.15/0.39 fof(f961,plain,(
% 0.15/0.39 spl0_28),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f960])).
% 0.15/0.39 fof(f966,plain,(
% 0.15/0.39 ~inverse(identity)=inverse(inverse(identity))|spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f65,f936])).
% 0.15/0.39 fof(f967,plain,(
% 0.15/0.39 ~identity=inverse(inverse(identity))|spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f278,f966])).
% 0.15/0.39 fof(f968,plain,(
% 0.15/0.39 ~identity=identity|spl0_25),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f299,f967])).
% 0.15/0.39 fof(f969,plain,(
% 0.15/0.39 $false|spl0_25),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f968])).
% 0.15/0.39 fof(f970,plain,(
% 0.15/0.39 spl0_25),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f969])).
% 0.15/0.39 fof(f975,plain,(
% 0.15/0.39 ~multiply(identity,sk_c10)=identity|spl0_24),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f278,f933])).
% 0.15/0.39 fof(f976,plain,(
% 0.15/0.39 ~sk_c10=identity|spl0_24),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f65,f975])).
% 0.15/0.39 fof(f982,plain,(
% 0.15/0.39 ![X0,X1]: (sk_c9=multiply(inverse(multiply(X0,multiply(X1,sk_c11))),multiply(X0,multiply(X1,sk_c10)))|~spl0_12)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f187,f326])).
% 0.15/0.39 fof(f990,plain,(
% 0.15/0.39 ![X0,X1]: (sk_c9=multiply(inverse(multiply(X0,multiply(X1,sk_c10))),multiply(X0,multiply(X1,sk_c11)))|~spl0_11)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f174,f326])).
% 0.15/0.39 fof(f1812,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c11)=sk_c11|~spl0_9|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f859,f856])).
% 0.15/0.39 fof(f1819,plain,(
% 0.15/0.39 inverse(sk_c10)=multiply(sk_c11,inverse(sk_c11))|~spl0_9|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f1812,f447])).
% 0.15/0.39 fof(f1820,plain,(
% 0.15/0.39 sk_c11=multiply(sk_c11,inverse(sk_c11))|~spl0_9|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f764,f1819])).
% 0.15/0.39 fof(f1821,plain,(
% 0.15/0.39 sk_c11=identity|~spl0_9|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f269,f1820])).
% 0.15/0.39 fof(f1828,plain,(
% 0.15/0.39 multiply(sk_c10,sk_c11)=identity|~spl0_9|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f1821,f1812])).
% 0.15/0.39 fof(f1829,plain,(
% 0.15/0.39 multiply(sk_c10,identity)=identity|~spl0_9|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f1821,f1828])).
% 0.15/0.39 fof(f1830,plain,(
% 0.15/0.39 sk_c10=identity|~spl0_9|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f297,f1829])).
% 0.15/0.39 fof(f1831,plain,(
% 0.15/0.39 $false|spl0_24|~spl0_9|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1830,f976])).
% 0.15/0.39 fof(f1832,plain,(
% 0.15/0.39 spl0_24|~spl0_9|~spl0_7|~spl0_0|~spl0_6|~spl0_5),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f1831])).
% 0.15/0.39 fof(f1833,plain,(
% 0.15/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~spl0_16)),
% 0.15/0.39 inference(destructive_equality_resolution,[status(esa)],[f239])).
% 0.15/0.39 fof(f1902,plain,(
% 0.15/0.39 spl0_29 <=> identity=sk_c9),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f1904,plain,(
% 0.15/0.39 ~identity=sk_c9|spl0_29),
% 0.15/0.39 inference(component_clause,[status(thm)],[f1902])).
% 0.15/0.39 fof(f1905,plain,(
% 0.15/0.39 spl0_30 <=> inverse(inverse(sk_c10))=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f1907,plain,(
% 0.15/0.39 ~inverse(inverse(sk_c10))=sk_c10|spl0_30),
% 0.15/0.39 inference(component_clause,[status(thm)],[f1905])).
% 0.15/0.39 fof(f1908,plain,(
% 0.15/0.39 ~identity=sk_c9|~inverse(inverse(sk_c10))=sk_c10|~spl0_18),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f66,f245])).
% 0.15/0.39 fof(f1909,plain,(
% 0.15/0.39 ~spl0_29|~spl0_30|~spl0_18),
% 0.15/0.39 inference(split_clause,[status(thm)],[f1908,f1902,f1905,f244])).
% 0.15/0.39 fof(f1919,plain,(
% 0.15/0.39 ~sk_c10=sk_c10|spl0_30),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f299,f1907])).
% 0.15/0.39 fof(f1920,plain,(
% 0.15/0.39 $false|spl0_30),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f1919])).
% 0.15/0.39 fof(f1921,plain,(
% 0.15/0.39 spl0_30),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f1920])).
% 0.15/0.39 fof(f1945,plain,(
% 0.15/0.39 sk_c10=identity|~spl0_13|~spl0_14),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f200,f725])).
% 0.15/0.39 fof(f1946,plain,(
% 0.15/0.39 $false|spl0_24|~spl0_13|~spl0_14),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1945,f976])).
% 0.15/0.39 fof(f1947,plain,(
% 0.15/0.39 spl0_24|~spl0_13|~spl0_14),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f1946])).
% 0.15/0.39 fof(f2667,plain,(
% 0.15/0.39 ~sk_c3=sk_c10|~spl0_2|spl0_0),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f759,f132])).
% 0.15/0.39 fof(f2711,plain,(
% 0.15/0.39 multiply(sk_c5,sk_c7)=identity|~spl0_9|~spl0_6|~spl0_8),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f778,f738])).
% 0.15/0.39 fof(f2712,plain,(
% 0.15/0.39 multiply(sk_c5,sk_c8)=identity|~spl0_9|~spl0_6|~spl0_8),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f735,f2711])).
% 0.15/0.39 fof(f2713,plain,(
% 0.15/0.39 sk_c11=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f150,f2712])).
% 0.15/0.39 fof(f2714,plain,(
% 0.15/0.39 inverse(identity)=sk_c3|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f2713,f759])).
% 0.15/0.39 fof(f2715,plain,(
% 0.15/0.39 identity=sk_c3|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f278,f2714])).
% 0.15/0.39 fof(f2759,plain,(
% 0.15/0.39 identity=sk_c9|~spl0_4|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f755,f142])).
% 0.15/0.39 fof(f2760,plain,(
% 0.15/0.39 $false|spl0_29|~spl0_4|~spl0_3),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2759,f1904])).
% 0.15/0.39 fof(f2761,plain,(
% 0.15/0.39 spl0_29|~spl0_4|~spl0_3),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f2760])).
% 0.15/0.39 fof(f2762,plain,(
% 0.15/0.39 ~identity=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|spl0_0),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f2715,f2667])).
% 0.15/0.39 fof(f2829,plain,(
% 0.15/0.39 multiply(identity,sk_c11)=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f2715,f134])).
% 0.15/0.39 fof(f2830,plain,(
% 0.15/0.39 sk_c11=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f65,f2829])).
% 0.15/0.39 fof(f2831,plain,(
% 0.15/0.39 identity=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f2713,f2830])).
% 0.15/0.39 fof(f2832,plain,(
% 0.15/0.39 $false|spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2831,f2762])).
% 0.15/0.39 fof(f2833,plain,(
% 0.15/0.39 spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f2832])).
% 0.15/0.39 fof(f3064,plain,(
% 0.15/0.39 multiply(identity,sk_c10)=identity|~spl0_24),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f278,f932])).
% 0.15/0.39 fof(f3065,plain,(
% 0.15/0.39 sk_c10=identity|~spl0_24),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f65,f3064])).
% 0.15/0.39 fof(f3436,plain,(
% 0.15/0.39 ![X0]: (~identity=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~spl0_16)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f269,f1833])).
% 0.15/0.39 fof(f3447,plain,(
% 0.15/0.39 ![X0]: (sk_c9=multiply(inverse(multiply(X0,sk_c10)),multiply(X0,sk_c11))|~spl0_11)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f375,f990])).
% 0.15/0.39 fof(f3448,plain,(
% 0.15/0.39 sk_c9=multiply(inverse(sk_c10),sk_c11)|~spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f375,f3447])).
% 0.15/0.39 fof(f3457,plain,(
% 0.15/0.39 ![X0]: (sk_c9=multiply(inverse(multiply(X0,sk_c11)),multiply(X0,sk_c10))|~spl0_12)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f375,f982])).
% 0.15/0.39 fof(f3458,plain,(
% 0.15/0.39 sk_c9=multiply(inverse(sk_c11),sk_c10)|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f375,f3457])).
% 0.15/0.39 fof(f3472,plain,(
% 0.15/0.39 ~multiply(sk_c11,sk_c9)=identity|~spl0_0|~spl0_2|~spl0_1|spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f888,f188])).
% 0.15/0.39 fof(f3611,plain,(
% 0.15/0.39 multiply(sk_c11,identity)=sk_c9|~spl0_1|~spl0_4|~spl0_0|~spl0_2|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f888,f866])).
% 0.15/0.39 fof(f3612,plain,(
% 0.15/0.39 sk_c11=sk_c9|~spl0_1|~spl0_4|~spl0_0|~spl0_2|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f297,f3611])).
% 0.15/0.39 fof(f3656,plain,(
% 0.15/0.39 spl0_33 <=> identity=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f3658,plain,(
% 0.15/0.39 ~identity=sk_c10|spl0_33),
% 0.15/0.39 inference(component_clause,[status(thm)],[f3656])).
% 0.15/0.39 fof(f3659,plain,(
% 0.15/0.39 spl0_34 <=> ~multiply(inverse(X0),sk_c9)=sk_c10),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f3660,plain,(
% 0.15/0.39 ![X0]: (~multiply(inverse(X0),sk_c9)=sk_c10|~spl0_34)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f3659])).
% 0.15/0.39 fof(f3662,plain,(
% 0.15/0.39 ~spl0_33|spl0_34|~spl0_16),
% 0.15/0.39 inference(split_clause,[status(thm)],[f3436,f3656,f3659,f238])).
% 0.15/0.39 fof(f3700,plain,(
% 0.15/0.39 ~identity=identity|~spl0_24|spl0_33),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f3065,f3658])).
% 0.15/0.39 fof(f3701,plain,(
% 0.15/0.39 $false|~spl0_24|spl0_33),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f3700])).
% 0.15/0.39 fof(f3702,plain,(
% 0.15/0.39 ~spl0_24|spl0_33),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f3701])).
% 0.15/0.39 fof(f3710,plain,(
% 0.15/0.39 ![X0]: (~multiply(inverse(X0),sk_c9)=identity|~spl0_24|~spl0_34)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f3065,f3660])).
% 0.15/0.39 fof(f3711,plain,(
% 0.15/0.39 $false|~spl0_24|~spl0_34),
% 0.15/0.39 inference(resolution,[status(thm)],[f3710,f66])).
% 0.15/0.39 fof(f3712,plain,(
% 0.15/0.39 ~spl0_24|~spl0_34),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f3711])).
% 0.15/0.39 fof(f4310,plain,(
% 0.15/0.39 ~multiply(identity,sk_c9)=identity|~spl0_0|~spl0_2|~spl0_1|spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f880,f3472])).
% 0.15/0.39 fof(f4311,plain,(
% 0.15/0.39 ~sk_c9=identity|~spl0_0|~spl0_2|~spl0_1|spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f65,f4310])).
% 0.15/0.39 fof(f4313,plain,(
% 0.15/0.39 identity=sk_c9|~spl0_1|~spl0_4|~spl0_0|~spl0_2|~spl0_3),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f880,f3612])).
% 0.15/0.39 fof(f4314,plain,(
% 0.15/0.39 $false|spl0_12|~spl0_1|~spl0_4|~spl0_0|~spl0_2|~spl0_3),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f4313,f4311])).
% 0.15/0.39 fof(f4315,plain,(
% 0.15/0.39 spl0_12|~spl0_1|~spl0_4|~spl0_0|~spl0_2|~spl0_3),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f4314])).
% 0.15/0.39 fof(f4316,plain,(
% 0.15/0.39 sk_c9=multiply(inverse(identity),sk_c10)|~spl0_0|~spl0_2|~spl0_1|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f880,f3458])).
% 0.15/0.39 fof(f4317,plain,(
% 0.15/0.39 sk_c9=multiply(identity,sk_c10)|~spl0_0|~spl0_2|~spl0_1|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f278,f4316])).
% 0.15/0.39 fof(f4318,plain,(
% 0.15/0.39 sk_c9=sk_c10|~spl0_0|~spl0_2|~spl0_1|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f65,f4317])).
% 0.15/0.39 fof(f4319,plain,(
% 0.15/0.39 sk_c9=identity|~spl0_24|~spl0_0|~spl0_2|~spl0_1|~spl0_12),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f3065,f4318])).
% 0.15/0.39 fof(f4493,plain,(
% 0.15/0.39 ~multiply(identity,sk_c9)=sk_c11|~spl0_24|spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f3065,f175])).
% 0.15/0.39 fof(f4494,plain,(
% 0.15/0.39 ~sk_c9=sk_c11|~spl0_24|spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f65,f4493])).
% 0.15/0.39 fof(f4495,plain,(
% 0.15/0.39 ~sk_c9=identity|~spl0_0|~spl0_2|~spl0_1|~spl0_24|spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f880,f4494])).
% 0.15/0.39 fof(f4816,plain,(
% 0.15/0.39 ~identity=identity|~spl0_12|~spl0_0|~spl0_2|~spl0_1|~spl0_24|spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f4319,f4495])).
% 0.15/0.39 fof(f4817,plain,(
% 0.15/0.39 $false|~spl0_12|~spl0_0|~spl0_2|~spl0_1|~spl0_24|spl0_11),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f4816])).
% 0.15/0.39 fof(f4818,plain,(
% 0.15/0.39 ~spl0_12|~spl0_0|~spl0_2|~spl0_1|~spl0_24|spl0_11),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f4817])).
% 0.15/0.39 fof(f4819,plain,(
% 0.15/0.39 ![X0]: (~multiply(X0,sk_c11)=identity|~inverse(X0)=sk_c11|~spl0_24|~spl0_17)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f3065,f242])).
% 0.15/0.39 fof(f4842,plain,(
% 0.15/0.39 sk_c9=multiply(inverse(identity),sk_c11)|~spl0_24|~spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f3065,f3448])).
% 0.15/0.39 fof(f4843,plain,(
% 0.15/0.39 sk_c9=multiply(identity,sk_c11)|~spl0_24|~spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f278,f4842])).
% 0.15/0.39 fof(f4844,plain,(
% 0.15/0.39 sk_c9=sk_c11|~spl0_24|~spl0_11),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f65,f4843])).
% 0.15/0.39 fof(f4904,plain,(
% 0.15/0.39 ~inverse(inverse(sk_c11))=sk_c11|~spl0_24|~spl0_17),
% 0.15/0.39 inference(resolution,[status(thm)],[f4819,f66])).
% 0.15/0.39 fof(f4905,plain,(
% 0.15/0.39 ~sk_c11=sk_c11|~spl0_24|~spl0_17),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f299,f4904])).
% 0.15/0.39 fof(f4906,plain,(
% 0.15/0.39 $false|~spl0_24|~spl0_17),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f4905])).
% 0.15/0.39 fof(f4907,plain,(
% 0.15/0.39 ~spl0_24|~spl0_17),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f4906])).
% 0.15/0.39 fof(f4908,plain,(
% 0.15/0.39 spl0_35 <=> identity=sk_c11),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f4910,plain,(
% 0.15/0.39 ~identity=sk_c11|spl0_35),
% 0.15/0.39 inference(component_clause,[status(thm)],[f4908])).
% 0.15/0.39 fof(f4911,plain,(
% 0.15/0.39 spl0_36 <=> ~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f4912,plain,(
% 0.15/0.39 ![X0,X1]: (~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_36)),
% 0.15/0.39 inference(component_clause,[status(thm)],[f4911])).
% 0.15/0.39 fof(f4914,plain,(
% 0.15/0.39 ~spl0_35|spl0_36|~spl0_19),
% 0.15/0.39 inference(split_clause,[status(thm)],[f905,f4908,f4911,f247])).
% 0.15/0.39 fof(f4915,plain,(
% 0.15/0.39 ![X0,X1]: (~multiply(inverse(X0),identity)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_24|~spl0_36)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f3065,f4912])).
% 0.15/0.39 fof(f4916,plain,(
% 0.15/0.39 ![X0,X1]: (~inverse(X0)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_24|~spl0_36)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f297,f4915])).
% 0.15/0.39 fof(f4917,plain,(
% 0.15/0.39 ![X0,X1]: (~inverse(X0)=sk_c11|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_24|~spl0_36)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f299,f4916])).
% 0.15/0.39 fof(f4918,plain,(
% 0.15/0.39 ![X0]: (~inverse(X0)=sk_c11|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_24|~spl0_36)),
% 0.15/0.39 inference(destructive_equality_resolution,[status(esa)],[f4917])).
% 0.15/0.39 fof(f6867,plain,(
% 0.15/0.39 inverse(identity)=sk_c11|~spl0_24|~spl0_0),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f3065,f764])).
% 0.15/0.39 fof(f6868,plain,(
% 0.15/0.39 identity=sk_c11|~spl0_24|~spl0_0),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f278,f6867])).
% 0.15/0.39 fof(f6869,plain,(
% 0.15/0.39 $false|spl0_35|~spl0_24|~spl0_0),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f6868,f4910])).
% 0.15/0.39 fof(f6870,plain,(
% 0.15/0.39 spl0_35|~spl0_24|~spl0_0),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f6869])).
% 0.15/0.39 fof(f6873,plain,(
% 0.15/0.39 sk_c9=identity|~spl0_0|~spl0_24|~spl0_11),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f6868,f4844])).
% 0.15/0.39 fof(f7000,plain,(
% 0.15/0.39 ![X0]: (~inverse(X0)=identity|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_0|~spl0_24|~spl0_36)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f6868,f4918])).
% 0.15/0.39 fof(f7001,plain,(
% 0.15/0.39 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=inverse(inverse(X0))|~spl0_0|~spl0_24|~spl0_36)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f448,f7000])).
% 0.15/0.39 fof(f7002,plain,(
% 0.15/0.39 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=X0|~spl0_0|~spl0_24|~spl0_36)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f299,f7001])).
% 0.15/0.39 fof(f7022,plain,(
% 0.15/0.39 spl0_37 <=> inverse(identity)=identity),
% 0.15/0.39 introduced(split_symbol_definition)).
% 0.15/0.39 fof(f7024,plain,(
% 0.15/0.39 ~inverse(identity)=identity|spl0_37),
% 0.15/0.39 inference(component_clause,[status(thm)],[f7022])).
% 0.15/0.39 fof(f7025,plain,(
% 0.15/0.39 ~inverse(identity)=identity|~inverse(identity)=identity|~spl0_0|~spl0_24|~spl0_36),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f65,f7002])).
% 0.15/0.39 fof(f7026,plain,(
% 0.15/0.39 ~spl0_37|~spl0_0|~spl0_24|~spl0_36),
% 0.15/0.39 inference(split_clause,[status(thm)],[f7025,f7022,f130,f931,f4911])).
% 0.15/0.39 fof(f7030,plain,(
% 0.15/0.39 ~identity=identity|spl0_37),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f278,f7024])).
% 0.38/0.63 fof(f7031,plain,(
% 0.38/0.63 $false|spl0_37),
% 0.38/0.63 inference(trivial_equality_resolution,[status(esa)],[f7030])).
% 0.38/0.63 fof(f7032,plain,(
% 0.38/0.63 spl0_37),
% 0.38/0.63 inference(contradiction_clause,[status(thm)],[f7031])).
% 0.38/0.63 fof(f7061,plain,(
% 0.38/0.63 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c10|~spl0_24|~spl0_18)),
% 0.38/0.63 inference(forward_demodulation,[status(thm)],[f3065,f245])).
% 0.38/0.63 fof(f7062,plain,(
% 0.38/0.63 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c10|~spl0_24|~spl0_18)),
% 0.38/0.63 inference(forward_demodulation,[status(thm)],[f297,f7061])).
% 0.38/0.63 fof(f7063,plain,(
% 0.38/0.63 ![X0]: (~X0=identity|~inverse(X0)=sk_c10|~spl0_0|~spl0_11|~spl0_24|~spl0_18)),
% 0.38/0.63 inference(forward_demodulation,[status(thm)],[f6873,f7062])).
% 0.38/0.63 fof(f7064,plain,(
% 0.38/0.63 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_11|~spl0_24|~spl0_18)),
% 0.38/0.63 inference(forward_demodulation,[status(thm)],[f3065,f7063])).
% 0.38/0.63 fof(f7065,plain,(
% 0.38/0.63 ~inverse(identity)=identity|~spl0_0|~spl0_11|~spl0_24|~spl0_18),
% 0.38/0.63 inference(destructive_equality_resolution,[status(esa)],[f7064])).
% 0.38/0.63 fof(f7066,plain,(
% 0.38/0.63 $false|~spl0_0|~spl0_11|~spl0_24|~spl0_18),
% 0.38/0.63 inference(forward_subsumption_resolution,[status(thm)],[f7065,f278])).
% 0.38/0.63 fof(f7067,plain,(
% 0.38/0.63 ~spl0_0|~spl0_11|~spl0_24|~spl0_18),
% 0.38/0.63 inference(contradiction_clause,[status(thm)],[f7066])).
% 0.38/0.63 fof(f7068,plain,(
% 0.38/0.63 $false),
% 0.38/0.63 inference(sat_refutation,[status(thm)],[f136,f140,f144,f148,f152,f156,f164,f168,f176,f177,f178,f179,f189,f190,f191,f192,f204,f205,f206,f207,f208,f210,f217,f218,f219,f220,f221,f223,f250,f961,f970,f1832,f1909,f1921,f1947,f2761,f2833,f3662,f3702,f3712,f4315,f4818,f4907,f4914,f6870,f7026,f7032,f7067])).
% 0.38/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.38/0.63 % Elapsed time: 0.082835 seconds
% 0.38/0.63 % CPU time: 0.194461 seconds
% 0.38/0.63 % Memory used: 23.933 MB
%------------------------------------------------------------------------------