TSTP Solution File: GRP375-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP375-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:20:15 EDT 2024
% Result : Unsatisfiable 1.59s 0.65s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP375-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:24:13 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 1.59/0.65 % Refutation found
% 1.59/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.59/0.65 % SZS output start CNFRefutation for theBenchmark
% 1.59/0.65 fof(f1,axiom,(
% 1.59/0.65 (![X]: (multiply(identity,X) = X ))),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f2,axiom,(
% 1.59/0.65 (![X]: (multiply(inverse(X),X) = identity ))),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f3,axiom,(
% 1.59/0.65 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f6,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c10) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f7,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c10) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f8,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c10) = sk_c9| multiply(sk_c4,sk_c7) = sk_c10 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f9,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c10) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f11,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c10) = sk_c9| inverse(sk_c6) = sk_c5 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f12,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c10) = sk_c9| inverse(sk_c5) = sk_c7 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f14,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c2,sk_c10) = sk_c9 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f15,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c2) = sk_c10 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f16,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f17,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f18,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c4,sk_c7) = sk_c10 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f19,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f21,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c6) = sk_c5 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f22,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c5) = sk_c7 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f24,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c1) = sk_c10| multiply(sk_c2,sk_c10) = sk_c9 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f25,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c1) = sk_c10| inverse(sk_c2) = sk_c10 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f26,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c1) = sk_c10| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f27,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c1) = sk_c10| inverse(sk_c3) = sk_c9 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f28,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c7) = sk_c10 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f29,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c7 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f31,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c5 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f32,negated_conjecture,(
% 1.59/0.65 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c7 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f34,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c8,sk_c10) = sk_c9| multiply(sk_c2,sk_c10) = sk_c9 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f35,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c8,sk_c10) = sk_c9| inverse(sk_c2) = sk_c10 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f36,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c8,sk_c10) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f37,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c8,sk_c10) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f38,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c8,sk_c10) = sk_c9| multiply(sk_c4,sk_c7) = sk_c10 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f39,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c8,sk_c10) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f41,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c8,sk_c10) = sk_c9| inverse(sk_c6) = sk_c5 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f42,negated_conjecture,(
% 1.59/0.65 ( multiply(sk_c8,sk_c10) = sk_c9| inverse(sk_c5) = sk_c7 ) ),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f44,negated_conjecture,(
% 1.59/0.65 (![X2,X1,X3,X4,X5,X6,X7]: (( inverse(sk_c10) != sk_c9| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| multiply(sk_c8,sk_c10) != sk_c9| multiply(X1,sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(X3,sk_c9) != sk_c8| inverse(X3) != sk_c9| multiply(X4,X5) != sk_c10| inverse(X4) != X5| multiply(X5,sk_c9) != sk_c10| inverse(X6) != X7| inverse(X7) != X5| multiply(X6,X5) != X7 ) ))),
% 1.59/0.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.59/0.65 fof(f45,plain,(
% 1.59/0.65 ![X0]: (multiply(identity,X0)=X0)),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f1])).
% 1.59/0.65 fof(f46,plain,(
% 1.59/0.65 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f2])).
% 1.59/0.65 fof(f47,plain,(
% 1.59/0.65 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f3])).
% 1.59/0.65 fof(f50,plain,(
% 1.59/0.65 inverse(sk_c10)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f6])).
% 1.59/0.65 fof(f51,plain,(
% 1.59/0.65 inverse(sk_c10)=sk_c9|inverse(sk_c3)=sk_c9),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f7])).
% 1.59/0.65 fof(f52,plain,(
% 1.59/0.65 inverse(sk_c10)=sk_c9|multiply(sk_c4,sk_c7)=sk_c10),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f8])).
% 1.59/0.65 fof(f53,plain,(
% 1.59/0.65 inverse(sk_c10)=sk_c9|inverse(sk_c4)=sk_c7),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f9])).
% 1.59/0.65 fof(f55,plain,(
% 1.59/0.65 inverse(sk_c10)=sk_c9|inverse(sk_c6)=sk_c5),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f11])).
% 1.59/0.65 fof(f56,plain,(
% 1.59/0.65 inverse(sk_c10)=sk_c9|inverse(sk_c5)=sk_c7),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f12])).
% 1.59/0.65 fof(f58,plain,(
% 1.59/0.65 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c2,sk_c10)=sk_c9),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f14])).
% 1.59/0.65 fof(f59,plain,(
% 1.59/0.65 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c2)=sk_c10),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f15])).
% 1.59/0.65 fof(f60,plain,(
% 1.59/0.65 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f16])).
% 1.59/0.65 fof(f61,plain,(
% 1.59/0.65 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c3)=sk_c9),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f17])).
% 1.59/0.65 fof(f62,plain,(
% 1.59/0.65 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c4,sk_c7)=sk_c10),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f18])).
% 1.59/0.65 fof(f63,plain,(
% 1.59/0.65 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c4)=sk_c7),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f19])).
% 1.59/0.65 fof(f65,plain,(
% 1.59/0.65 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c6)=sk_c5),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f21])).
% 1.59/0.65 fof(f66,plain,(
% 1.59/0.65 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c5)=sk_c7),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f22])).
% 1.59/0.65 fof(f68,plain,(
% 1.59/0.65 inverse(sk_c1)=sk_c10|multiply(sk_c2,sk_c10)=sk_c9),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f24])).
% 1.59/0.65 fof(f69,plain,(
% 1.59/0.65 inverse(sk_c1)=sk_c10|inverse(sk_c2)=sk_c10),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f25])).
% 1.59/0.65 fof(f70,plain,(
% 1.59/0.65 inverse(sk_c1)=sk_c10|multiply(sk_c3,sk_c9)=sk_c8),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f26])).
% 1.59/0.65 fof(f71,plain,(
% 1.59/0.65 inverse(sk_c1)=sk_c10|inverse(sk_c3)=sk_c9),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f27])).
% 1.59/0.65 fof(f72,plain,(
% 1.59/0.65 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c7)=sk_c10),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f28])).
% 1.59/0.65 fof(f73,plain,(
% 1.59/0.65 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c7),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f29])).
% 1.59/0.65 fof(f75,plain,(
% 1.59/0.65 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c5),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f31])).
% 1.59/0.65 fof(f76,plain,(
% 1.59/0.65 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c7),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f32])).
% 1.59/0.65 fof(f78,plain,(
% 1.59/0.65 multiply(sk_c8,sk_c10)=sk_c9|multiply(sk_c2,sk_c10)=sk_c9),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f34])).
% 1.59/0.65 fof(f79,plain,(
% 1.59/0.65 multiply(sk_c8,sk_c10)=sk_c9|inverse(sk_c2)=sk_c10),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f35])).
% 1.59/0.65 fof(f80,plain,(
% 1.59/0.65 multiply(sk_c8,sk_c10)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f36])).
% 1.59/0.65 fof(f81,plain,(
% 1.59/0.65 multiply(sk_c8,sk_c10)=sk_c9|inverse(sk_c3)=sk_c9),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f37])).
% 1.59/0.65 fof(f82,plain,(
% 1.59/0.65 multiply(sk_c8,sk_c10)=sk_c9|multiply(sk_c4,sk_c7)=sk_c10),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f38])).
% 1.59/0.65 fof(f83,plain,(
% 1.59/0.65 multiply(sk_c8,sk_c10)=sk_c9|inverse(sk_c4)=sk_c7),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f39])).
% 1.59/0.65 fof(f85,plain,(
% 1.59/0.65 multiply(sk_c8,sk_c10)=sk_c9|inverse(sk_c6)=sk_c5),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f41])).
% 1.59/0.65 fof(f86,plain,(
% 1.59/0.65 multiply(sk_c8,sk_c10)=sk_c9|inverse(sk_c5)=sk_c7),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f42])).
% 1.59/0.65 fof(f88,plain,(
% 1.59/0.65 ![X5,X6,X7]: (((((![X4]: (((![X3]: (((![X1]: ((((![X2]: ((~inverse(sk_c10)=sk_c9|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~multiply(sk_c8,sk_c10)=sk_c9)|~multiply(X1,sk_c10)=sk_c9)|~inverse(X1)=sk_c10))|~multiply(X3,sk_c9)=sk_c8)|~inverse(X3)=sk_c9))|~multiply(X4,X5)=sk_c10)|~inverse(X4)=X5))|~multiply(X5,sk_c9)=sk_c10)|~inverse(X6)=X7)|~inverse(X7)=X5)|~multiply(X6,X5)=X7)),
% 1.59/0.65 inference(miniscoping,[status(esa)],[f44])).
% 1.59/0.65 fof(f89,plain,(
% 1.59/0.65 ![X0,X1,X2,X3,X4,X5,X6]: (~inverse(sk_c10)=sk_c9|~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~multiply(sk_c8,sk_c10)=sk_c9|~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(X3,X4)=sk_c10|~inverse(X3)=X4|~multiply(X4,sk_c9)=sk_c10|~inverse(X5)=X6|~inverse(X6)=X4|~multiply(X5,X4)=X6)),
% 1.59/0.65 inference(cnf_transformation,[status(esa)],[f88])).
% 1.59/0.65 fof(f90,plain,(
% 1.59/0.65 spl0_0 <=> inverse(sk_c10)=sk_c9),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f91,plain,(
% 1.59/0.65 inverse(sk_c10)=sk_c9|~spl0_0),
% 1.59/0.65 inference(component_clause,[status(thm)],[f90])).
% 1.59/0.65 fof(f92,plain,(
% 1.59/0.65 ~inverse(sk_c10)=sk_c9|spl0_0),
% 1.59/0.65 inference(component_clause,[status(thm)],[f90])).
% 1.59/0.65 fof(f93,plain,(
% 1.59/0.65 spl0_1 <=> multiply(sk_c2,sk_c10)=sk_c9),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f94,plain,(
% 1.59/0.65 multiply(sk_c2,sk_c10)=sk_c9|~spl0_1),
% 1.59/0.65 inference(component_clause,[status(thm)],[f93])).
% 1.59/0.65 fof(f97,plain,(
% 1.59/0.65 spl0_2 <=> inverse(sk_c2)=sk_c10),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f98,plain,(
% 1.59/0.65 inverse(sk_c2)=sk_c10|~spl0_2),
% 1.59/0.65 inference(component_clause,[status(thm)],[f97])).
% 1.59/0.65 fof(f101,plain,(
% 1.59/0.65 spl0_3 <=> multiply(sk_c3,sk_c9)=sk_c8),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f102,plain,(
% 1.59/0.65 multiply(sk_c3,sk_c9)=sk_c8|~spl0_3),
% 1.59/0.65 inference(component_clause,[status(thm)],[f101])).
% 1.59/0.65 fof(f104,plain,(
% 1.59/0.65 spl0_0|spl0_3),
% 1.59/0.65 inference(split_clause,[status(thm)],[f50,f90,f101])).
% 1.59/0.65 fof(f105,plain,(
% 1.59/0.65 spl0_4 <=> inverse(sk_c3)=sk_c9),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f106,plain,(
% 1.59/0.65 inverse(sk_c3)=sk_c9|~spl0_4),
% 1.59/0.65 inference(component_clause,[status(thm)],[f105])).
% 1.59/0.65 fof(f108,plain,(
% 1.59/0.65 spl0_0|spl0_4),
% 1.59/0.65 inference(split_clause,[status(thm)],[f51,f90,f105])).
% 1.59/0.65 fof(f109,plain,(
% 1.59/0.65 spl0_5 <=> multiply(sk_c4,sk_c7)=sk_c10),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f110,plain,(
% 1.59/0.65 multiply(sk_c4,sk_c7)=sk_c10|~spl0_5),
% 1.59/0.65 inference(component_clause,[status(thm)],[f109])).
% 1.59/0.65 fof(f112,plain,(
% 1.59/0.65 spl0_0|spl0_5),
% 1.59/0.65 inference(split_clause,[status(thm)],[f52,f90,f109])).
% 1.59/0.65 fof(f113,plain,(
% 1.59/0.65 spl0_6 <=> inverse(sk_c4)=sk_c7),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f114,plain,(
% 1.59/0.65 inverse(sk_c4)=sk_c7|~spl0_6),
% 1.59/0.65 inference(component_clause,[status(thm)],[f113])).
% 1.59/0.65 fof(f116,plain,(
% 1.59/0.65 spl0_0|spl0_6),
% 1.59/0.65 inference(split_clause,[status(thm)],[f53,f90,f113])).
% 1.59/0.65 fof(f121,plain,(
% 1.59/0.65 spl0_8 <=> inverse(sk_c6)=sk_c5),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f122,plain,(
% 1.59/0.65 inverse(sk_c6)=sk_c5|~spl0_8),
% 1.59/0.65 inference(component_clause,[status(thm)],[f121])).
% 1.59/0.65 fof(f124,plain,(
% 1.59/0.65 spl0_0|spl0_8),
% 1.59/0.65 inference(split_clause,[status(thm)],[f55,f90,f121])).
% 1.59/0.65 fof(f125,plain,(
% 1.59/0.65 spl0_9 <=> inverse(sk_c5)=sk_c7),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f126,plain,(
% 1.59/0.65 inverse(sk_c5)=sk_c7|~spl0_9),
% 1.59/0.65 inference(component_clause,[status(thm)],[f125])).
% 1.59/0.65 fof(f128,plain,(
% 1.59/0.65 spl0_0|spl0_9),
% 1.59/0.65 inference(split_clause,[status(thm)],[f56,f90,f125])).
% 1.59/0.65 fof(f133,plain,(
% 1.59/0.65 spl0_11 <=> multiply(sk_c1,sk_c10)=sk_c9),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f134,plain,(
% 1.59/0.65 multiply(sk_c1,sk_c10)=sk_c9|~spl0_11),
% 1.59/0.65 inference(component_clause,[status(thm)],[f133])).
% 1.59/0.65 fof(f136,plain,(
% 1.59/0.65 spl0_11|spl0_1),
% 1.59/0.65 inference(split_clause,[status(thm)],[f58,f133,f93])).
% 1.59/0.65 fof(f137,plain,(
% 1.59/0.65 spl0_11|spl0_2),
% 1.59/0.65 inference(split_clause,[status(thm)],[f59,f133,f97])).
% 1.59/0.65 fof(f138,plain,(
% 1.59/0.65 spl0_11|spl0_3),
% 1.59/0.65 inference(split_clause,[status(thm)],[f60,f133,f101])).
% 1.59/0.65 fof(f139,plain,(
% 1.59/0.65 spl0_11|spl0_4),
% 1.59/0.65 inference(split_clause,[status(thm)],[f61,f133,f105])).
% 1.59/0.65 fof(f140,plain,(
% 1.59/0.65 spl0_11|spl0_5),
% 1.59/0.65 inference(split_clause,[status(thm)],[f62,f133,f109])).
% 1.59/0.65 fof(f141,plain,(
% 1.59/0.65 spl0_11|spl0_6),
% 1.59/0.65 inference(split_clause,[status(thm)],[f63,f133,f113])).
% 1.59/0.65 fof(f143,plain,(
% 1.59/0.65 spl0_11|spl0_8),
% 1.59/0.65 inference(split_clause,[status(thm)],[f65,f133,f121])).
% 1.59/0.65 fof(f144,plain,(
% 1.59/0.65 spl0_11|spl0_9),
% 1.59/0.65 inference(split_clause,[status(thm)],[f66,f133,f125])).
% 1.59/0.65 fof(f146,plain,(
% 1.59/0.65 spl0_12 <=> inverse(sk_c1)=sk_c10),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f147,plain,(
% 1.59/0.65 inverse(sk_c1)=sk_c10|~spl0_12),
% 1.59/0.65 inference(component_clause,[status(thm)],[f146])).
% 1.59/0.65 fof(f149,plain,(
% 1.59/0.65 spl0_12|spl0_1),
% 1.59/0.65 inference(split_clause,[status(thm)],[f68,f146,f93])).
% 1.59/0.65 fof(f150,plain,(
% 1.59/0.65 spl0_12|spl0_2),
% 1.59/0.65 inference(split_clause,[status(thm)],[f69,f146,f97])).
% 1.59/0.65 fof(f151,plain,(
% 1.59/0.65 spl0_12|spl0_3),
% 1.59/0.65 inference(split_clause,[status(thm)],[f70,f146,f101])).
% 1.59/0.65 fof(f152,plain,(
% 1.59/0.65 spl0_12|spl0_4),
% 1.59/0.65 inference(split_clause,[status(thm)],[f71,f146,f105])).
% 1.59/0.65 fof(f153,plain,(
% 1.59/0.65 spl0_12|spl0_5),
% 1.59/0.65 inference(split_clause,[status(thm)],[f72,f146,f109])).
% 1.59/0.65 fof(f154,plain,(
% 1.59/0.65 spl0_12|spl0_6),
% 1.59/0.65 inference(split_clause,[status(thm)],[f73,f146,f113])).
% 1.59/0.65 fof(f156,plain,(
% 1.59/0.65 spl0_12|spl0_8),
% 1.59/0.65 inference(split_clause,[status(thm)],[f75,f146,f121])).
% 1.59/0.65 fof(f157,plain,(
% 1.59/0.65 spl0_12|spl0_9),
% 1.59/0.65 inference(split_clause,[status(thm)],[f76,f146,f125])).
% 1.59/0.65 fof(f159,plain,(
% 1.59/0.65 spl0_13 <=> multiply(sk_c8,sk_c10)=sk_c9),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f160,plain,(
% 1.59/0.65 multiply(sk_c8,sk_c10)=sk_c9|~spl0_13),
% 1.59/0.65 inference(component_clause,[status(thm)],[f159])).
% 1.59/0.65 fof(f161,plain,(
% 1.59/0.65 ~multiply(sk_c8,sk_c10)=sk_c9|spl0_13),
% 1.59/0.65 inference(component_clause,[status(thm)],[f159])).
% 1.59/0.65 fof(f162,plain,(
% 1.59/0.65 spl0_13|spl0_1),
% 1.59/0.65 inference(split_clause,[status(thm)],[f78,f159,f93])).
% 1.59/0.65 fof(f163,plain,(
% 1.59/0.65 spl0_13|spl0_2),
% 1.59/0.65 inference(split_clause,[status(thm)],[f79,f159,f97])).
% 1.59/0.65 fof(f164,plain,(
% 1.59/0.65 spl0_13|spl0_3),
% 1.59/0.65 inference(split_clause,[status(thm)],[f80,f159,f101])).
% 1.59/0.65 fof(f165,plain,(
% 1.59/0.65 spl0_13|spl0_4),
% 1.59/0.65 inference(split_clause,[status(thm)],[f81,f159,f105])).
% 1.59/0.65 fof(f166,plain,(
% 1.59/0.65 spl0_13|spl0_5),
% 1.59/0.65 inference(split_clause,[status(thm)],[f82,f159,f109])).
% 1.59/0.65 fof(f167,plain,(
% 1.59/0.65 spl0_13|spl0_6),
% 1.59/0.65 inference(split_clause,[status(thm)],[f83,f159,f113])).
% 1.59/0.65 fof(f169,plain,(
% 1.59/0.65 spl0_13|spl0_8),
% 1.59/0.65 inference(split_clause,[status(thm)],[f85,f159,f121])).
% 1.59/0.65 fof(f170,plain,(
% 1.59/0.65 spl0_13|spl0_9),
% 1.59/0.65 inference(split_clause,[status(thm)],[f86,f159,f125])).
% 1.59/0.65 fof(f172,plain,(
% 1.59/0.65 spl0_14 <=> ~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f173,plain,(
% 1.59/0.65 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_14)),
% 1.59/0.65 inference(component_clause,[status(thm)],[f172])).
% 1.59/0.65 fof(f175,plain,(
% 1.59/0.65 spl0_15 <=> ~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f176,plain,(
% 1.59/0.65 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_15)),
% 1.59/0.65 inference(component_clause,[status(thm)],[f175])).
% 1.59/0.65 fof(f178,plain,(
% 1.59/0.65 spl0_16 <=> ~multiply(X3,X4)=sk_c10|~inverse(X3)=X4|~multiply(X4,sk_c9)=sk_c10|~inverse(X5)=X6|~inverse(X6)=X4|~multiply(X5,X4)=X6),
% 1.59/0.65 introduced(split_symbol_definition)).
% 1.59/0.65 fof(f179,plain,(
% 1.59/0.65 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~spl0_16)),
% 1.59/0.65 inference(component_clause,[status(thm)],[f178])).
% 1.59/0.65 fof(f181,plain,(
% 1.59/0.65 ~spl0_0|spl0_14|~spl0_13|spl0_15|spl0_16),
% 1.59/0.65 inference(split_clause,[status(thm)],[f89,f90,f172,f159,f175,f178])).
% 1.59/0.65 fof(f182,plain,(
% 1.59/0.65 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_16)),
% 1.59/0.65 inference(destructive_equality_resolution,[status(esa)],[f179])).
% 1.59/0.65 fof(f187,plain,(
% 1.59/0.65 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f46,f47])).
% 1.59/0.65 fof(f188,plain,(
% 1.59/0.65 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 1.59/0.65 inference(forward_demodulation,[status(thm)],[f45,f187])).
% 1.59/0.65 fof(f189,plain,(
% 1.59/0.65 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f188,f188])).
% 1.59/0.65 fof(f190,plain,(
% 1.59/0.65 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f46,f188])).
% 1.59/0.65 fof(f192,plain,(
% 1.59/0.65 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f47,f188])).
% 1.59/0.65 fof(f200,plain,(
% 1.59/0.65 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f46,f189])).
% 1.59/0.65 fof(f209,plain,(
% 1.59/0.65 inverse(identity)=identity),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f45,f200])).
% 1.59/0.65 fof(f228,plain,(
% 1.59/0.65 ![X0]: (X0=multiply(X0,identity))),
% 1.59/0.65 inference(forward_demodulation,[status(thm)],[f189,f190])).
% 1.59/0.65 fof(f229,plain,(
% 1.59/0.65 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f189,f228])).
% 1.59/0.65 fof(f230,plain,(
% 1.59/0.65 ![X0]: (inverse(inverse(X0))=X0)),
% 1.59/0.65 inference(forward_demodulation,[status(thm)],[f228,f229])).
% 1.59/0.65 fof(f256,plain,(
% 1.59/0.65 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X0))))),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f47,f192])).
% 1.59/0.65 fof(f257,plain,(
% 1.59/0.65 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(X3,X0)))))),
% 1.59/0.65 inference(forward_demodulation,[status(thm)],[f47,f256])).
% 1.59/0.65 fof(f281,plain,(
% 1.59/0.65 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f200,f192])).
% 1.59/0.65 fof(f282,plain,(
% 1.59/0.65 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 1.59/0.65 inference(forward_demodulation,[status(thm)],[f228,f281])).
% 1.59/0.65 fof(f379,plain,(
% 1.59/0.65 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f188,f282])).
% 1.59/0.65 fof(f655,plain,(
% 1.59/0.65 inverse(sk_c10)=sk_c1|~spl0_12),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f147,f230])).
% 1.59/0.65 fof(f660,plain,(
% 1.59/0.65 inverse(sk_c7)=sk_c5|~spl0_9),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f126,f230])).
% 1.59/0.65 fof(f665,plain,(
% 1.59/0.65 inverse(sk_c5)=sk_c6|~spl0_8),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f122,f230])).
% 1.59/0.65 fof(f666,plain,(
% 1.59/0.65 sk_c7=sk_c6|~spl0_9|~spl0_8),
% 1.59/0.65 inference(forward_demodulation,[status(thm)],[f126,f665])).
% 1.59/0.65 fof(f669,plain,(
% 1.59/0.65 multiply(sk_c5,sk_c6)=identity|~spl0_8),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f122,f46])).
% 1.59/0.65 fof(f672,plain,(
% 1.59/0.65 inverse(sk_c7)=sk_c4|~spl0_6),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f114,f230])).
% 1.59/0.65 fof(f687,plain,(
% 1.59/0.65 inverse(sk_c9)=sk_c3|~spl0_4),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f106,f230])).
% 1.59/0.65 fof(f692,plain,(
% 1.59/0.65 inverse(sk_c10)=sk_c2|~spl0_2),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f98,f230])).
% 1.59/0.65 fof(f697,plain,(
% 1.59/0.65 inverse(sk_c9)=sk_c10|~spl0_0),
% 1.59/0.65 inference(paramodulation,[status(thm)],[f91,f230])).
% 1.59/0.65 fof(f701,plain,(
% 1.59/0.66 sk_c9=sk_c1|~spl0_0|~spl0_12),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f91,f655])).
% 1.59/0.66 fof(f702,plain,(
% 1.59/0.66 multiply(sk_c9,sk_c10)=sk_c9|~spl0_0|~spl0_12|~spl0_11),
% 1.59/0.66 inference(backward_demodulation,[status(thm)],[f701,f134])).
% 1.59/0.66 fof(f709,plain,(
% 1.59/0.66 sk_c5=sk_c4|~spl0_9|~spl0_6),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f660,f672])).
% 1.59/0.66 fof(f717,plain,(
% 1.59/0.66 sk_c9=sk_c2|~spl0_0|~spl0_2),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f91,f692])).
% 1.59/0.66 fof(f795,plain,(
% 1.59/0.66 multiply(sk_c9,sk_c10)=sk_c9|~spl0_0|~spl0_2|~spl0_1),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f717,f94])).
% 1.59/0.66 fof(f796,plain,(
% 1.59/0.66 ![X0,X1]: (sk_c10=multiply(inverse(multiply(X0,multiply(X1,sk_c9))),multiply(X0,multiply(X1,sk_c9)))|~spl0_0|~spl0_2|~spl0_1)),
% 1.59/0.66 inference(paramodulation,[status(thm)],[f795,f257])).
% 1.59/0.66 fof(f797,plain,(
% 1.59/0.66 sk_c10=identity|~spl0_0|~spl0_2|~spl0_1),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f46,f796])).
% 1.59/0.66 fof(f822,plain,(
% 1.59/0.66 ![X0,X1]: (~identity=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_16)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f200,f182])).
% 1.59/0.66 fof(f822,plain,(
% 1.59/0.66 ![X0,X1]: (~identity=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_16)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f200,f182])).
% 1.59/0.66 fof(f823,plain,(
% 1.59/0.66 ![X0,X1]: (~identity=identity|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_0|~spl0_2|~spl0_1|~spl0_16)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f797,f822])).
% 1.59/0.66 fof(f824,plain,(
% 1.59/0.66 ![X0,X1]: (~identity=identity|~multiply(inverse(X0),sk_c9)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_0|~spl0_2|~spl0_1|~spl0_16)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f797,f823])).
% 1.59/0.66 fof(f825,plain,(
% 1.59/0.66 ![X0,X1]: (~identity=identity|~multiply(inverse(X0),sk_c9)=identity|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_0|~spl0_2|~spl0_1|~spl0_16)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f230,f824])).
% 1.59/0.66 fof(f826,plain,(
% 1.59/0.66 ![X0,X1]: (~multiply(inverse(X0),sk_c9)=identity|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_0|~spl0_2|~spl0_1|~spl0_16)),
% 1.59/0.66 inference(trivial_equality_resolution,[status(esa)],[f825])).
% 1.59/0.66 fof(f827,plain,(
% 1.59/0.66 ![X0]: (~multiply(inverse(X0),sk_c9)=identity|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_0|~spl0_2|~spl0_1|~spl0_16)),
% 1.59/0.66 inference(destructive_equality_resolution,[status(esa)],[f826])).
% 1.59/0.66 fof(f832,plain,(
% 1.59/0.66 spl0_17 <=> multiply(inverse(identity),sk_c9)=identity),
% 1.59/0.66 introduced(split_symbol_definition)).
% 1.59/0.66 fof(f834,plain,(
% 1.59/0.66 ~multiply(inverse(identity),sk_c9)=identity|spl0_17),
% 1.59/0.66 inference(component_clause,[status(thm)],[f832])).
% 1.59/0.66 fof(f835,plain,(
% 1.59/0.66 spl0_18 <=> multiply(identity,inverse(identity))=inverse(inverse(identity))),
% 1.59/0.66 introduced(split_symbol_definition)).
% 1.59/0.66 fof(f837,plain,(
% 1.59/0.66 ~multiply(identity,inverse(identity))=inverse(inverse(identity))|spl0_18),
% 1.59/0.66 inference(component_clause,[status(thm)],[f835])).
% 1.59/0.66 fof(f838,plain,(
% 1.59/0.66 ~multiply(inverse(identity),sk_c9)=identity|~multiply(identity,inverse(identity))=inverse(inverse(identity))|~spl0_0|~spl0_2|~spl0_1|~spl0_16),
% 1.59/0.66 inference(paramodulation,[status(thm)],[f209,f827])).
% 1.59/0.66 fof(f839,plain,(
% 1.59/0.66 ~spl0_17|~spl0_18|~spl0_0|~spl0_2|~spl0_1|~spl0_16),
% 1.59/0.66 inference(split_clause,[status(thm)],[f838,f832,f835,f90,f97,f93,f178])).
% 1.59/0.66 fof(f844,plain,(
% 1.59/0.66 spl0_19 <=> multiply(inverse(identity),identity)=inverse(inverse(identity))),
% 1.59/0.66 introduced(split_symbol_definition)).
% 1.59/0.66 fof(f846,plain,(
% 1.59/0.66 ~multiply(inverse(identity),identity)=inverse(inverse(identity))|spl0_19),
% 1.59/0.66 inference(component_clause,[status(thm)],[f844])).
% 1.59/0.66 fof(f849,plain,(
% 1.59/0.66 ~identity=inverse(inverse(identity))|spl0_19),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f46,f846])).
% 1.59/0.66 fof(f850,plain,(
% 1.59/0.66 ~identity=identity|spl0_19),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f230,f849])).
% 1.59/0.66 fof(f851,plain,(
% 1.59/0.66 $false|spl0_19),
% 1.59/0.66 inference(trivial_equality_resolution,[status(esa)],[f850])).
% 1.59/0.66 fof(f852,plain,(
% 1.59/0.66 spl0_19),
% 1.59/0.66 inference(contradiction_clause,[status(thm)],[f851])).
% 1.59/0.66 fof(f853,plain,(
% 1.59/0.66 ~inverse(identity)=inverse(inverse(identity))|spl0_18),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f45,f837])).
% 1.59/0.66 fof(f854,plain,(
% 1.59/0.66 ~identity=inverse(inverse(identity))|spl0_18),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f209,f853])).
% 1.59/0.66 fof(f855,plain,(
% 1.59/0.66 ~identity=identity|spl0_18),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f230,f854])).
% 1.59/0.66 fof(f856,plain,(
% 1.59/0.66 $false|spl0_18),
% 1.59/0.66 inference(trivial_equality_resolution,[status(esa)],[f855])).
% 1.59/0.66 fof(f857,plain,(
% 1.59/0.66 spl0_18),
% 1.59/0.66 inference(contradiction_clause,[status(thm)],[f856])).
% 1.59/0.66 fof(f858,plain,(
% 1.59/0.66 ~multiply(identity,sk_c9)=identity|spl0_17),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f209,f834])).
% 1.59/0.66 fof(f859,plain,(
% 1.59/0.66 ~sk_c9=identity|spl0_17),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f45,f858])).
% 1.59/0.66 fof(f871,plain,(
% 1.59/0.66 ![X0,X1]: (sk_c10=multiply(inverse(multiply(X0,multiply(X1,sk_c9))),multiply(X0,multiply(X1,sk_c9)))|~spl0_0|~spl0_12|~spl0_11)),
% 1.59/0.66 inference(paramodulation,[status(thm)],[f702,f257])).
% 1.59/0.66 fof(f872,plain,(
% 1.59/0.66 sk_c10=identity|~spl0_0|~spl0_12|~spl0_11),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f46,f871])).
% 1.59/0.66 fof(f1664,plain,(
% 1.59/0.66 multiply(sk_c8,identity)=sk_c9|~spl0_0|~spl0_12|~spl0_11|~spl0_13),
% 1.59/0.66 inference(backward_demodulation,[status(thm)],[f872,f160])).
% 1.59/0.66 fof(f1665,plain,(
% 1.59/0.66 sk_c8=sk_c9|~spl0_0|~spl0_12|~spl0_11|~spl0_13),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f228,f1664])).
% 1.59/0.66 fof(f1680,plain,(
% 1.59/0.66 inverse(sk_c9)=identity|~spl0_12|~spl0_11|~spl0_0),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f872,f697])).
% 1.59/0.66 fof(f1691,plain,(
% 1.59/0.66 inverse(identity)=sk_c9|~spl0_12|~spl0_11|~spl0_0),
% 1.59/0.66 inference(paramodulation,[status(thm)],[f1680,f230])).
% 1.59/0.66 fof(f1692,plain,(
% 1.59/0.66 identity=sk_c9|~spl0_12|~spl0_11|~spl0_0),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f209,f1691])).
% 1.59/0.66 fof(f1693,plain,(
% 1.59/0.66 $false|spl0_17|~spl0_12|~spl0_11|~spl0_0),
% 1.59/0.66 inference(forward_subsumption_resolution,[status(thm)],[f1692,f859])).
% 1.59/0.66 fof(f1694,plain,(
% 1.59/0.66 spl0_17|~spl0_12|~spl0_11|~spl0_0),
% 1.59/0.66 inference(contradiction_clause,[status(thm)],[f1693])).
% 1.59/0.66 fof(f1740,plain,(
% 1.59/0.66 sk_c9=multiply(inverse(sk_c3),sk_c8)|~spl0_3),
% 1.59/0.66 inference(paramodulation,[status(thm)],[f102,f188])).
% 1.59/0.66 fof(f1741,plain,(
% 1.59/0.66 sk_c9=multiply(sk_c9,sk_c8)|~spl0_4|~spl0_3),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f106,f1740])).
% 1.59/0.66 fof(f2573,plain,(
% 1.59/0.66 multiply(sk_c4,sk_c6)=identity|~spl0_9|~spl0_6|~spl0_8),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f709,f669])).
% 1.59/0.66 fof(f2574,plain,(
% 1.59/0.66 multiply(sk_c4,sk_c7)=identity|~spl0_9|~spl0_6|~spl0_8),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f666,f2573])).
% 1.59/0.66 fof(f2575,plain,(
% 1.59/0.66 sk_c10=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f110,f2574])).
% 1.59/0.66 fof(f2577,plain,(
% 1.59/0.66 multiply(sk_c8,identity)=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13),
% 1.59/0.66 inference(backward_demodulation,[status(thm)],[f2575,f160])).
% 1.59/0.66 fof(f2578,plain,(
% 1.59/0.66 sk_c8=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f228,f2577])).
% 1.59/0.66 fof(f2602,plain,(
% 1.59/0.66 multiply(sk_c9,identity)=identity|~spl0_12|~spl0_11|~spl0_0),
% 1.59/0.66 inference(paramodulation,[status(thm)],[f1680,f200])).
% 1.59/0.66 fof(f2603,plain,(
% 1.59/0.66 sk_c9=identity|~spl0_12|~spl0_11|~spl0_0),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f228,f2602])).
% 1.59/0.66 fof(f2638,plain,(
% 1.59/0.66 sk_c8=identity|~spl0_0|~spl0_12|~spl0_11|~spl0_13),
% 1.59/0.66 inference(backward_demodulation,[status(thm)],[f2603,f1665])).
% 1.59/0.66 fof(f2640,plain,(
% 1.59/0.66 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c9|~spl0_12|~spl0_11|~spl0_0|~spl0_15)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f2603,f176])).
% 1.59/0.66 fof(f2641,plain,(
% 1.59/0.66 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c9|~spl0_12|~spl0_11|~spl0_0|~spl0_15)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f228,f2640])).
% 1.59/0.66 fof(f2642,plain,(
% 1.59/0.66 ![X0]: (~X0=sk_c8|~inverse(X0)=identity|~spl0_12|~spl0_11|~spl0_0|~spl0_15)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f2603,f2641])).
% 1.59/0.66 fof(f2643,plain,(
% 1.59/0.66 ~inverse(sk_c8)=identity|~spl0_12|~spl0_11|~spl0_0|~spl0_15),
% 1.59/0.66 inference(destructive_equality_resolution,[status(esa)],[f2642])).
% 1.59/0.66 fof(f2646,plain,(
% 1.59/0.66 ~inverse(identity)=identity|~spl0_13|~spl0_12|~spl0_11|~spl0_0|~spl0_15),
% 1.59/0.66 inference(backward_demodulation,[status(thm)],[f2638,f2643])).
% 1.59/0.66 fof(f2647,plain,(
% 1.59/0.66 ~identity=identity|~spl0_13|~spl0_12|~spl0_11|~spl0_0|~spl0_15),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f209,f2646])).
% 1.59/0.66 fof(f2648,plain,(
% 1.59/0.66 $false|~spl0_13|~spl0_12|~spl0_11|~spl0_0|~spl0_15),
% 1.59/0.66 inference(trivial_equality_resolution,[status(esa)],[f2647])).
% 1.59/0.66 fof(f2649,plain,(
% 1.59/0.66 ~spl0_13|~spl0_12|~spl0_11|~spl0_0|~spl0_15),
% 1.59/0.66 inference(contradiction_clause,[status(thm)],[f2648])).
% 1.59/0.66 fof(f2650,plain,(
% 1.59/0.66 spl0_20 <=> identity=sk_c10),
% 1.59/0.66 introduced(split_symbol_definition)).
% 1.59/0.66 fof(f2652,plain,(
% 1.59/0.66 ~identity=sk_c10|spl0_20),
% 1.59/0.66 inference(component_clause,[status(thm)],[f2650])).
% 1.59/0.66 fof(f2653,plain,(
% 1.59/0.66 spl0_21 <=> ~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)),
% 1.59/0.66 introduced(split_symbol_definition)).
% 1.59/0.66 fof(f2654,plain,(
% 1.59/0.66 ![X0,X1]: (~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_21)),
% 1.59/0.66 inference(component_clause,[status(thm)],[f2653])).
% 1.59/0.66 fof(f2656,plain,(
% 1.59/0.66 ~spl0_20|spl0_21|~spl0_16),
% 1.59/0.66 inference(split_clause,[status(thm)],[f822,f2650,f2653,f178])).
% 1.59/0.66 fof(f2660,plain,(
% 1.59/0.66 ~identity=identity|~spl0_0|~spl0_12|~spl0_11|spl0_20),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f872,f2652])).
% 1.59/0.66 fof(f2661,plain,(
% 1.59/0.66 $false|~spl0_0|~spl0_12|~spl0_11|spl0_20),
% 1.59/0.66 inference(trivial_equality_resolution,[status(esa)],[f2660])).
% 1.59/0.66 fof(f2662,plain,(
% 1.59/0.66 ~spl0_0|~spl0_12|~spl0_11|spl0_20),
% 1.59/0.66 inference(contradiction_clause,[status(thm)],[f2661])).
% 1.59/0.66 fof(f2663,plain,(
% 1.59/0.66 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c10|~spl0_0|~spl0_12|~spl0_11|~spl0_14)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f872,f173])).
% 1.59/0.66 fof(f2664,plain,(
% 1.59/0.66 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c10|~spl0_0|~spl0_12|~spl0_11|~spl0_14)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f228,f2663])).
% 1.59/0.66 fof(f2665,plain,(
% 1.59/0.66 ![X0]: (~X0=identity|~inverse(X0)=sk_c10|~spl0_0|~spl0_12|~spl0_11|~spl0_14)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f2603,f2664])).
% 1.59/0.66 fof(f2666,plain,(
% 1.59/0.66 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_12|~spl0_11|~spl0_14)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f872,f2665])).
% 1.59/0.66 fof(f2667,plain,(
% 1.59/0.66 ~inverse(identity)=identity|~spl0_0|~spl0_12|~spl0_11|~spl0_14),
% 1.59/0.66 inference(destructive_equality_resolution,[status(esa)],[f2666])).
% 1.59/0.66 fof(f2668,plain,(
% 1.59/0.66 $false|~spl0_0|~spl0_12|~spl0_11|~spl0_14),
% 1.59/0.66 inference(forward_subsumption_resolution,[status(thm)],[f2667,f209])).
% 1.59/0.66 fof(f2669,plain,(
% 1.59/0.66 ~spl0_0|~spl0_12|~spl0_11|~spl0_14),
% 1.59/0.66 inference(contradiction_clause,[status(thm)],[f2668])).
% 1.59/0.66 fof(f2670,plain,(
% 1.59/0.66 ![X0,X1]: (~multiply(inverse(X0),identity)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_12|~spl0_11|~spl0_0|~spl0_21)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f2603,f2654])).
% 1.59/0.66 fof(f2671,plain,(
% 1.59/0.66 ![X0,X1]: (~inverse(X0)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_12|~spl0_11|~spl0_0|~spl0_21)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f228,f2670])).
% 1.59/0.66 fof(f2672,plain,(
% 1.59/0.66 ![X0,X1]: (~inverse(X0)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_12|~spl0_11|~spl0_0|~spl0_21)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f872,f2671])).
% 1.59/0.66 fof(f2673,plain,(
% 1.59/0.66 ![X0,X1]: (~inverse(X0)=identity|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_12|~spl0_11|~spl0_0|~spl0_21)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f230,f2672])).
% 1.59/0.66 fof(f2674,plain,(
% 1.59/0.66 ![X0]: (~inverse(X0)=identity|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_12|~spl0_11|~spl0_0|~spl0_21)),
% 1.59/0.66 inference(destructive_equality_resolution,[status(esa)],[f2673])).
% 1.59/0.66 fof(f2697,plain,(
% 1.59/0.66 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=inverse(inverse(X0))|~spl0_12|~spl0_11|~spl0_0|~spl0_21)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f379,f2674])).
% 1.59/0.66 fof(f2698,plain,(
% 1.59/0.66 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=X0|~spl0_12|~spl0_11|~spl0_0|~spl0_21)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f230,f2697])).
% 1.59/0.66 fof(f2711,plain,(
% 1.59/0.66 spl0_22 <=> inverse(identity)=identity),
% 1.59/0.66 introduced(split_symbol_definition)).
% 1.59/0.66 fof(f2713,plain,(
% 1.59/0.66 ~inverse(identity)=identity|spl0_22),
% 1.59/0.66 inference(component_clause,[status(thm)],[f2711])).
% 1.59/0.66 fof(f2714,plain,(
% 1.59/0.66 ~inverse(identity)=identity|~inverse(identity)=identity|~spl0_12|~spl0_11|~spl0_0|~spl0_21),
% 1.59/0.66 inference(paramodulation,[status(thm)],[f45,f2698])).
% 1.59/0.66 fof(f2715,plain,(
% 1.59/0.66 ~spl0_22|~spl0_12|~spl0_11|~spl0_0|~spl0_21),
% 1.59/0.66 inference(split_clause,[status(thm)],[f2714,f2711,f146,f133,f90,f2653])).
% 1.59/0.66 fof(f2719,plain,(
% 1.59/0.66 ~identity=identity|spl0_22),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f209,f2713])).
% 1.59/0.66 fof(f2720,plain,(
% 1.59/0.66 $false|spl0_22),
% 1.59/0.66 inference(trivial_equality_resolution,[status(esa)],[f2719])).
% 1.59/0.66 fof(f2721,plain,(
% 1.59/0.66 spl0_22),
% 1.59/0.66 inference(contradiction_clause,[status(thm)],[f2720])).
% 1.59/0.66 fof(f3048,plain,(
% 1.59/0.66 multiply(sk_c3,sk_c9)=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f2578,f102])).
% 1.59/0.66 fof(f3073,plain,(
% 1.59/0.66 multiply(sk_c3,sk_c9)=identity|~spl0_4),
% 1.59/0.66 inference(paramodulation,[status(thm)],[f687,f46])).
% 1.59/0.66 fof(f3074,plain,(
% 1.59/0.66 sk_c9=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f3048,f3073])).
% 1.59/0.66 fof(f3077,plain,(
% 1.59/0.66 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_14)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f2575,f173])).
% 1.59/0.66 fof(f3078,plain,(
% 1.59/0.66 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_14)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f228,f3077])).
% 1.59/0.66 fof(f3079,plain,(
% 1.59/0.66 ![X0]: (~X0=sk_c9|~inverse(X0)=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_14)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f2575,f3078])).
% 1.59/0.66 fof(f3080,plain,(
% 1.59/0.66 ~inverse(sk_c9)=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_14),
% 1.59/0.66 inference(destructive_equality_resolution,[status(esa)],[f3079])).
% 1.59/0.66 fof(f3167,plain,(
% 1.59/0.66 sk_c8=identity|~spl0_3|~spl0_4|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13),
% 1.59/0.66 inference(backward_demodulation,[status(thm)],[f3074,f2578])).
% 1.59/0.66 fof(f3823,plain,(
% 1.59/0.66 inverse(identity)=sk_c2|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f2575,f692])).
% 1.59/0.66 fof(f3824,plain,(
% 1.59/0.66 identity=sk_c2|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f209,f3823])).
% 1.59/0.66 fof(f5794,plain,(
% 1.59/0.66 multiply(identity,sk_c10)=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f3824,f94])).
% 1.59/0.66 fof(f5795,plain,(
% 1.59/0.66 sk_c10=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f45,f5794])).
% 1.59/0.66 fof(f5796,plain,(
% 1.59/0.66 identity=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f2575,f5795])).
% 1.59/0.66 fof(f5797,plain,(
% 1.59/0.66 ~inverse(identity)=identity|~spl0_13|~spl0_3|~spl0_4|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_14),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f3074,f3080])).
% 1.59/0.66 fof(f5798,plain,(
% 1.59/0.66 ~identity=identity|~spl0_13|~spl0_3|~spl0_4|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_14),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f209,f5797])).
% 1.59/0.66 fof(f5799,plain,(
% 1.59/0.66 $false|~spl0_13|~spl0_3|~spl0_4|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_14),
% 1.59/0.66 inference(trivial_equality_resolution,[status(esa)],[f5798])).
% 1.59/0.66 fof(f5800,plain,(
% 1.59/0.66 ~spl0_13|~spl0_3|~spl0_4|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_14),
% 1.59/0.66 inference(contradiction_clause,[status(thm)],[f5799])).
% 1.59/0.66 fof(f5801,plain,(
% 1.59/0.66 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4|~spl0_15)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f3074,f176])).
% 1.59/0.66 fof(f5802,plain,(
% 1.59/0.66 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4|~spl0_15)),
% 1.59/0.66 inference(forward_demodulation,[status(thm)],[f228,f5801])).
% 1.59/0.66 fof(f5803,plain,(
% 1.59/0.66 ![X0]: (~X0=identity|~inverse(X0)=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4|~spl0_15)),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f3167,f5802])).
% 2.23/0.66 fof(f5804,plain,(
% 2.23/0.66 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4|~spl0_15)),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f3074,f5803])).
% 2.23/0.66 fof(f5805,plain,(
% 2.23/0.66 ~inverse(identity)=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4|~spl0_15),
% 2.23/0.66 inference(destructive_equality_resolution,[status(esa)],[f5804])).
% 2.23/0.66 fof(f5806,plain,(
% 2.23/0.66 $false|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4|~spl0_15),
% 2.23/0.66 inference(forward_subsumption_resolution,[status(thm)],[f5805,f209])).
% 2.23/0.66 fof(f5807,plain,(
% 2.23/0.66 ~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4|~spl0_15),
% 2.23/0.66 inference(contradiction_clause,[status(thm)],[f5806])).
% 2.23/0.66 fof(f5818,plain,(
% 2.23/0.66 ~identity=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4|spl0_17),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f3074,f859])).
% 2.23/0.66 fof(f5819,plain,(
% 2.23/0.66 $false|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4|spl0_17),
% 2.23/0.66 inference(trivial_equality_resolution,[status(esa)],[f5818])).
% 2.23/0.66 fof(f5820,plain,(
% 2.23/0.66 ~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_3|~spl0_4|spl0_17),
% 2.23/0.66 inference(contradiction_clause,[status(thm)],[f5819])).
% 2.23/0.66 fof(f5826,plain,(
% 2.23/0.66 ~inverse(identity)=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_0),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f2575,f92])).
% 2.23/0.66 fof(f5827,plain,(
% 2.23/0.66 ~identity=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_0),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f209,f5826])).
% 2.23/0.66 fof(f5828,plain,(
% 2.23/0.66 ~identity=identity|~spl0_13|~spl0_3|~spl0_4|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_0),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f3074,f5827])).
% 2.23/0.66 fof(f5829,plain,(
% 2.23/0.66 $false|~spl0_13|~spl0_3|~spl0_4|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_0),
% 2.23/0.66 inference(trivial_equality_resolution,[status(esa)],[f5828])).
% 2.23/0.66 fof(f5830,plain,(
% 2.23/0.66 ~spl0_13|~spl0_3|~spl0_4|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_0),
% 2.23/0.66 inference(contradiction_clause,[status(thm)],[f5829])).
% 2.23/0.66 fof(f5848,plain,(
% 2.23/0.66 ~multiply(sk_c8,identity)=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_13),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f2575,f161])).
% 2.23/0.66 fof(f5849,plain,(
% 2.23/0.66 ~sk_c8=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_13),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f228,f5848])).
% 2.23/0.66 fof(f6861,plain,(
% 2.23/0.66 ~sk_c8=identity|~spl0_2|~spl0_1|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_13),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f5796,f5849])).
% 2.23/0.66 fof(f6955,plain,(
% 2.23/0.66 identity=multiply(sk_c9,sk_c8)|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f5796,f1741])).
% 2.23/0.66 fof(f6956,plain,(
% 2.23/0.66 identity=multiply(identity,sk_c8)|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f5796,f6955])).
% 2.23/0.66 fof(f6957,plain,(
% 2.23/0.66 identity=sk_c8|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 2.23/0.66 inference(forward_demodulation,[status(thm)],[f45,f6956])).
% 2.23/0.66 fof(f6958,plain,(
% 2.23/0.66 $false|spl0_13|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 2.23/0.66 inference(forward_subsumption_resolution,[status(thm)],[f6957,f6861])).
% 2.23/0.66 fof(f6959,plain,(
% 2.23/0.66 spl0_13|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 2.23/0.66 inference(contradiction_clause,[status(thm)],[f6958])).
% 2.23/0.66 fof(f6960,plain,(
% 2.23/0.66 $false),
% 2.23/0.66 inference(sat_refutation,[status(thm)],[f104,f108,f112,f116,f124,f128,f136,f137,f138,f139,f140,f141,f143,f144,f149,f150,f151,f152,f153,f154,f156,f157,f162,f163,f164,f165,f166,f167,f169,f170,f181,f839,f852,f857,f1694,f2649,f2656,f2662,f2669,f2715,f2721,f5800,f5807,f5820,f5830,f6959])).
% 2.23/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 2.46/0.68 % Elapsed time: 0.316861 seconds
% 2.46/0.68 % CPU time: 2.350234 seconds
% 2.46/0.68 % Total memory used: 96.147 MB
% 2.46/0.68 % Net memory used: 94.564 MB
%------------------------------------------------------------------------------