TSTP Solution File: GRP347-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP347-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:11:25 EDT 2023
% Result : Unsatisfiable 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP347-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:26:57 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.20/0.45 % Refutation found
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.45 fof(f1,axiom,(
% 0.20/0.45 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f2,axiom,(
% 0.20/0.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f3,axiom,(
% 0.20/0.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f4,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f5,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c6) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f6,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f7,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f8,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f9,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c4) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f10,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f11,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f12,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f13,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f14,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f15,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f16,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f17,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f18,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f19,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f20,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f21,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f22,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f23,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c2) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f24,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f25,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f26,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f27,negated_conjecture,(
% 0.20/0.46 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f28,negated_conjecture,(
% 0.20/0.46 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c6,sk_c5) = sk_c7 ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f29,negated_conjecture,(
% 0.20/0.46 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f30,negated_conjecture,(
% 0.20/0.46 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f31,negated_conjecture,(
% 0.20/0.46 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f32,negated_conjecture,(
% 0.20/0.46 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f33,negated_conjecture,(
% 0.20/0.46 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f34,negated_conjecture,(
% 0.20/0.46 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| inverse(X3) != sk_c7| multiply(X3,sk_c6) != sk_c7| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| multiply(sk_c6,sk_c5) != sk_c7| inverse(sk_c6) != sk_c5| multiply(X1,sk_c6) != sk_c7| inverse(X1) != sk_c6| multiply(X2,sk_c7) != sk_c5| inverse(X2) != sk_c7 ) ))),
% 0.20/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.46 fof(f35,plain,(
% 0.20/0.46 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.46 fof(f36,plain,(
% 0.20/0.46 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.46 fof(f37,plain,(
% 0.20/0.46 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.46 fof(f38,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c6,sk_c5)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.46 fof(f39,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c6)=sk_c5),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.46 fof(f40,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.46 fof(f41,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.46 fof(f42,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c4,sk_c7)=sk_c5),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.46 fof(f43,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c4)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.46 fof(f44,plain,(
% 0.20/0.46 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c5)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.46 fof(f45,plain,(
% 0.20/0.46 inverse(sk_c1)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.46 fof(f46,plain,(
% 0.20/0.46 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.46 fof(f47,plain,(
% 0.20/0.46 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.46 fof(f48,plain,(
% 0.20/0.46 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.46 fof(f49,plain,(
% 0.20/0.46 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.46 fof(f50,plain,(
% 0.20/0.46 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c6,sk_c5)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.46 fof(f51,plain,(
% 0.20/0.46 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.46 fof(f52,plain,(
% 0.20/0.46 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.46 fof(f53,plain,(
% 0.20/0.46 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.46 fof(f54,plain,(
% 0.20/0.46 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.46 fof(f55,plain,(
% 0.20/0.46 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.46 fof(f56,plain,(
% 0.20/0.46 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c5)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.46 fof(f57,plain,(
% 0.20/0.46 inverse(sk_c2)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.46 fof(f58,plain,(
% 0.20/0.46 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.46 fof(f59,plain,(
% 0.20/0.46 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.46 fof(f60,plain,(
% 0.20/0.46 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.46 fof(f61,plain,(
% 0.20/0.46 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.46 fof(f62,plain,(
% 0.20/0.46 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c6,sk_c5)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.46 fof(f63,plain,(
% 0.20/0.46 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f29])).
% 0.20/0.46 fof(f64,plain,(
% 0.20/0.46 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f30])).
% 0.20/0.46 fof(f65,plain,(
% 0.20/0.46 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f31])).
% 0.20/0.46 fof(f66,plain,(
% 0.20/0.46 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f32])).
% 0.20/0.46 fof(f67,plain,(
% 0.20/0.46 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f33])).
% 0.20/0.46 fof(f68,plain,(
% 0.20/0.46 ![X2]: (((![X1]: (((((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X3)=sk_c7)|~multiply(X3,sk_c6)=sk_c7))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~multiply(sk_c6,sk_c5)=sk_c7)|~inverse(sk_c6)=sk_c5)|~multiply(X1,sk_c6)=sk_c7)|~inverse(X1)=sk_c6))|~multiply(X2,sk_c7)=sk_c5)|~inverse(X2)=sk_c7)),
% 0.20/0.46 inference(miniscoping,[status(esa)],[f34])).
% 0.20/0.46 fof(f69,plain,(
% 0.20/0.46 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~multiply(sk_c6,sk_c5)=sk_c7|~inverse(sk_c6)=sk_c5|~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6|~multiply(X3,sk_c7)=sk_c5|~inverse(X3)=sk_c7)),
% 0.20/0.46 inference(cnf_transformation,[status(esa)],[f68])).
% 0.20/0.46 fof(f70,plain,(
% 0.20/0.46 spl0_0 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f71,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c7)=sk_c5|~spl0_0),
% 0.20/0.46 inference(component_clause,[status(thm)],[f70])).
% 0.20/0.46 fof(f72,plain,(
% 0.20/0.46 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_0),
% 0.20/0.46 inference(component_clause,[status(thm)],[f70])).
% 0.20/0.46 fof(f73,plain,(
% 0.20/0.46 spl0_1 <=> multiply(sk_c6,sk_c5)=sk_c7),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f74,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c5)=sk_c7|~spl0_1),
% 0.20/0.46 inference(component_clause,[status(thm)],[f73])).
% 0.20/0.46 fof(f75,plain,(
% 0.20/0.46 ~multiply(sk_c6,sk_c5)=sk_c7|spl0_1),
% 0.20/0.46 inference(component_clause,[status(thm)],[f73])).
% 0.20/0.46 fof(f76,plain,(
% 0.20/0.46 spl0_0|spl0_1),
% 0.20/0.46 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.20/0.46 fof(f77,plain,(
% 0.20/0.46 spl0_2 <=> inverse(sk_c6)=sk_c5),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f78,plain,(
% 0.20/0.46 inverse(sk_c6)=sk_c5|~spl0_2),
% 0.20/0.46 inference(component_clause,[status(thm)],[f77])).
% 0.20/0.46 fof(f79,plain,(
% 0.20/0.46 ~inverse(sk_c6)=sk_c5|spl0_2),
% 0.20/0.46 inference(component_clause,[status(thm)],[f77])).
% 0.20/0.46 fof(f80,plain,(
% 0.20/0.46 spl0_0|spl0_2),
% 0.20/0.46 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.20/0.46 fof(f81,plain,(
% 0.20/0.46 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f82,plain,(
% 0.20/0.46 multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.20/0.46 inference(component_clause,[status(thm)],[f81])).
% 0.20/0.46 fof(f84,plain,(
% 0.20/0.46 spl0_0|spl0_3),
% 0.20/0.46 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.20/0.46 fof(f85,plain,(
% 0.20/0.46 spl0_4 <=> inverse(sk_c3)=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f86,plain,(
% 0.20/0.46 inverse(sk_c3)=sk_c6|~spl0_4),
% 0.20/0.46 inference(component_clause,[status(thm)],[f85])).
% 0.20/0.46 fof(f88,plain,(
% 0.20/0.46 spl0_0|spl0_4),
% 0.20/0.46 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.20/0.46 fof(f89,plain,(
% 0.20/0.46 spl0_5 <=> multiply(sk_c4,sk_c7)=sk_c5),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f90,plain,(
% 0.20/0.46 multiply(sk_c4,sk_c7)=sk_c5|~spl0_5),
% 0.20/0.46 inference(component_clause,[status(thm)],[f89])).
% 0.20/0.46 fof(f92,plain,(
% 0.20/0.46 spl0_0|spl0_5),
% 0.20/0.46 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.20/0.46 fof(f93,plain,(
% 0.20/0.46 spl0_6 <=> inverse(sk_c4)=sk_c7),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f94,plain,(
% 0.20/0.46 inverse(sk_c4)=sk_c7|~spl0_6),
% 0.20/0.46 inference(component_clause,[status(thm)],[f93])).
% 0.20/0.46 fof(f95,plain,(
% 0.20/0.46 ~inverse(sk_c4)=sk_c7|spl0_6),
% 0.20/0.46 inference(component_clause,[status(thm)],[f93])).
% 0.20/0.46 fof(f96,plain,(
% 0.20/0.46 spl0_0|spl0_6),
% 0.20/0.46 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.20/0.46 fof(f97,plain,(
% 0.20/0.46 spl0_7 <=> inverse(sk_c1)=sk_c7),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f98,plain,(
% 0.20/0.46 inverse(sk_c1)=sk_c7|~spl0_7),
% 0.20/0.46 inference(component_clause,[status(thm)],[f97])).
% 0.20/0.46 fof(f100,plain,(
% 0.20/0.46 spl0_7|spl0_1),
% 0.20/0.46 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.20/0.46 fof(f101,plain,(
% 0.20/0.46 spl0_7|spl0_2),
% 0.20/0.46 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.20/0.46 fof(f102,plain,(
% 0.20/0.46 spl0_7|spl0_3),
% 0.20/0.46 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.20/0.46 fof(f103,plain,(
% 0.20/0.46 spl0_7|spl0_4),
% 0.20/0.46 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.20/0.46 fof(f104,plain,(
% 0.20/0.46 spl0_7|spl0_5),
% 0.20/0.46 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.20/0.46 fof(f105,plain,(
% 0.20/0.46 spl0_7|spl0_6),
% 0.20/0.46 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.20/0.46 fof(f106,plain,(
% 0.20/0.46 spl0_8 <=> multiply(sk_c1,sk_c6)=sk_c7),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f107,plain,(
% 0.20/0.46 multiply(sk_c1,sk_c6)=sk_c7|~spl0_8),
% 0.20/0.46 inference(component_clause,[status(thm)],[f106])).
% 0.20/0.46 fof(f109,plain,(
% 0.20/0.46 spl0_8|spl0_1),
% 0.20/0.46 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.20/0.46 fof(f110,plain,(
% 0.20/0.46 spl0_8|spl0_2),
% 0.20/0.46 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.20/0.46 fof(f111,plain,(
% 0.20/0.46 spl0_8|spl0_3),
% 0.20/0.46 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.20/0.46 fof(f112,plain,(
% 0.20/0.46 spl0_8|spl0_4),
% 0.20/0.46 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.20/0.46 fof(f113,plain,(
% 0.20/0.46 spl0_8|spl0_5),
% 0.20/0.46 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.20/0.46 fof(f114,plain,(
% 0.20/0.46 spl0_8|spl0_6),
% 0.20/0.46 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.20/0.46 fof(f115,plain,(
% 0.20/0.46 spl0_9 <=> inverse(sk_c2)=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f116,plain,(
% 0.20/0.46 inverse(sk_c2)=sk_c6|~spl0_9),
% 0.20/0.46 inference(component_clause,[status(thm)],[f115])).
% 0.20/0.46 fof(f118,plain,(
% 0.20/0.46 spl0_9|spl0_1),
% 0.20/0.46 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.20/0.46 fof(f119,plain,(
% 0.20/0.46 spl0_9|spl0_2),
% 0.20/0.46 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.20/0.46 fof(f120,plain,(
% 0.20/0.46 spl0_9|spl0_3),
% 0.20/0.46 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.20/0.46 fof(f121,plain,(
% 0.20/0.46 spl0_9|spl0_4),
% 0.20/0.46 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.20/0.46 fof(f122,plain,(
% 0.20/0.46 spl0_9|spl0_5),
% 0.20/0.46 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.20/0.46 fof(f123,plain,(
% 0.20/0.46 spl0_9|spl0_6),
% 0.20/0.46 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.20/0.46 fof(f124,plain,(
% 0.20/0.46 spl0_10 <=> multiply(sk_c2,sk_c5)=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f125,plain,(
% 0.20/0.46 multiply(sk_c2,sk_c5)=sk_c6|~spl0_10),
% 0.20/0.46 inference(component_clause,[status(thm)],[f124])).
% 0.20/0.46 fof(f127,plain,(
% 0.20/0.46 spl0_10|spl0_1),
% 0.20/0.46 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.20/0.46 fof(f128,plain,(
% 0.20/0.46 spl0_10|spl0_2),
% 0.20/0.46 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.20/0.46 fof(f129,plain,(
% 0.20/0.46 spl0_10|spl0_3),
% 0.20/0.46 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.20/0.46 fof(f130,plain,(
% 0.20/0.46 spl0_10|spl0_4),
% 0.20/0.46 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.20/0.46 fof(f131,plain,(
% 0.20/0.46 spl0_10|spl0_5),
% 0.20/0.46 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.20/0.46 fof(f132,plain,(
% 0.20/0.46 spl0_10|spl0_6),
% 0.20/0.46 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.20/0.46 fof(f133,plain,(
% 0.20/0.46 spl0_11 <=> ~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f134,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_11)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f133])).
% 0.20/0.46 fof(f136,plain,(
% 0.20/0.46 spl0_12 <=> ~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f137,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_12)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f136])).
% 0.20/0.46 fof(f139,plain,(
% 0.20/0.46 spl0_13 <=> ~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f140,plain,(
% 0.20/0.46 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_13)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f139])).
% 0.20/0.46 fof(f142,plain,(
% 0.20/0.46 spl0_14 <=> ~multiply(X3,sk_c7)=sk_c5|~inverse(X3)=sk_c7),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f143,plain,(
% 0.20/0.46 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~spl0_14)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f142])).
% 0.20/0.46 fof(f145,plain,(
% 0.20/0.46 ~spl0_0|spl0_11|spl0_12|~spl0_1|~spl0_2|spl0_13|spl0_14),
% 0.20/0.46 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f77,f139,f142])).
% 0.20/0.46 fof(f147,plain,(
% 0.20/0.46 ~inverse(sk_c4)=sk_c7|~spl0_14|~spl0_5),
% 0.20/0.46 inference(resolution,[status(thm)],[f143,f90])).
% 0.20/0.46 fof(f148,plain,(
% 0.20/0.46 ~sk_c7=sk_c7|~spl0_6|~spl0_14|~spl0_5),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f94,f147])).
% 0.20/0.46 fof(f149,plain,(
% 0.20/0.46 $false|~spl0_6|~spl0_14|~spl0_5),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f148])).
% 0.20/0.46 fof(f150,plain,(
% 0.20/0.46 ~spl0_6|~spl0_14|~spl0_5),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f149])).
% 0.20/0.46 fof(f151,plain,(
% 0.20/0.46 ~inverse(sk_c3)=sk_c6|~spl0_13|~spl0_3),
% 0.20/0.46 inference(resolution,[status(thm)],[f140,f82])).
% 0.20/0.46 fof(f152,plain,(
% 0.20/0.46 ~sk_c6=sk_c6|~spl0_4|~spl0_13|~spl0_3),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f86,f151])).
% 0.20/0.46 fof(f153,plain,(
% 0.20/0.46 $false|~spl0_4|~spl0_13|~spl0_3),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f152])).
% 0.20/0.46 fof(f154,plain,(
% 0.20/0.46 ~spl0_4|~spl0_13|~spl0_3),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f153])).
% 0.20/0.46 fof(f155,plain,(
% 0.20/0.46 ~inverse(sk_c2)=sk_c6|~spl0_12|~spl0_10),
% 0.20/0.46 inference(resolution,[status(thm)],[f137,f125])).
% 0.20/0.46 fof(f156,plain,(
% 0.20/0.46 ~sk_c6=sk_c6|~spl0_9|~spl0_12|~spl0_10),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f116,f155])).
% 0.20/0.46 fof(f157,plain,(
% 0.20/0.46 $false|~spl0_9|~spl0_12|~spl0_10),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f156])).
% 0.20/0.46 fof(f158,plain,(
% 0.20/0.46 ~spl0_9|~spl0_12|~spl0_10),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f157])).
% 0.20/0.46 fof(f159,plain,(
% 0.20/0.46 ~multiply(sk_c1,sk_c6)=sk_c7|~spl0_11|~spl0_7),
% 0.20/0.46 inference(resolution,[status(thm)],[f134,f98])).
% 0.20/0.46 fof(f160,plain,(
% 0.20/0.46 ~sk_c7=sk_c7|~spl0_8|~spl0_11|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f107,f159])).
% 0.20/0.46 fof(f161,plain,(
% 0.20/0.46 $false|~spl0_8|~spl0_11|~spl0_7),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f160])).
% 0.20/0.46 fof(f162,plain,(
% 0.20/0.46 ~spl0_8|~spl0_11|~spl0_7),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f161])).
% 0.20/0.46 fof(f171,plain,(
% 0.20/0.46 spl0_17 <=> sk_c7=sk_c7),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f173,plain,(
% 0.20/0.46 ~sk_c7=sk_c7|spl0_17),
% 0.20/0.46 inference(component_clause,[status(thm)],[f171])).
% 0.20/0.46 fof(f176,plain,(
% 0.20/0.46 $false|spl0_17),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f173])).
% 0.20/0.46 fof(f177,plain,(
% 0.20/0.46 spl0_17),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f176])).
% 0.20/0.46 fof(f181,plain,(
% 0.20/0.46 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c5,X0))|~spl0_1)),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.20/0.46 fof(f182,plain,(
% 0.20/0.46 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~spl0_3)),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.20/0.46 fof(f183,plain,(
% 0.20/0.46 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_5)),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.20/0.46 fof(f188,plain,(
% 0.20/0.46 ![X0]: (multiply(sk_c7,multiply(sk_c5,X0))=multiply(sk_c3,multiply(sk_c7,X0))|~spl0_3|~spl0_1)),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f181,f182])).
% 0.20/0.46 fof(f206,plain,(
% 0.20/0.46 multiply(sk_c7,sk_c4)=identity|~spl0_6),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.20/0.46 fof(f208,plain,(
% 0.20/0.46 multiply(sk_c5,sk_c6)=identity|~spl0_2),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.20/0.46 fof(f209,plain,(
% 0.20/0.46 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.20/0.46 fof(f210,plain,(
% 0.20/0.46 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f35,f209])).
% 0.20/0.46 fof(f211,plain,(
% 0.20/0.46 multiply(sk_c7,multiply(sk_c5,sk_c4))=multiply(sk_c3,identity)|~spl0_3|~spl0_1|~spl0_6),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f206,f188])).
% 0.20/0.46 fof(f212,plain,(
% 0.20/0.46 multiply(sk_c5,sk_c4)=multiply(sk_c4,identity)|~spl0_5|~spl0_6),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f206,f183])).
% 0.20/0.46 fof(f368,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c2)=identity|~spl0_9),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f116,f36])).
% 0.20/0.46 fof(f369,plain,(
% 0.20/0.46 multiply(sk_c7,sk_c1)=identity|~spl0_7),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f98,f36])).
% 0.20/0.46 fof(f373,plain,(
% 0.20/0.46 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c1,multiply(sk_c6,X0))|~spl0_8)),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f107,f37])).
% 0.20/0.46 fof(f388,plain,(
% 0.20/0.46 multiply(sk_c5,sk_c1)=multiply(sk_c4,identity)|~spl0_5|~spl0_7),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f369,f183])).
% 0.20/0.46 fof(f466,plain,(
% 0.20/0.46 multiply(sk_c7,sk_c2)=multiply(sk_c1,identity)|~spl0_8|~spl0_9),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f368,f373])).
% 0.20/0.46 fof(f522,plain,(
% 0.20/0.46 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f210,f210])).
% 0.20/0.46 fof(f523,plain,(
% 0.20/0.46 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f36,f210])).
% 0.20/0.46 fof(f524,plain,(
% 0.20/0.46 ![X0]: (X0=multiply(X0,identity))),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f522,f523])).
% 0.20/0.46 fof(f537,plain,(
% 0.20/0.46 inverse(identity)=identity),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f524,f36])).
% 0.20/0.46 fof(f551,plain,(
% 0.20/0.46 multiply(sk_c7,sk_c2)=sk_c1|~spl0_8|~spl0_9),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f524,f466])).
% 0.20/0.46 fof(f556,plain,(
% 0.20/0.46 sk_c6=multiply(inverse(sk_c1),sk_c7)|~spl0_8),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f107,f210])).
% 0.20/0.46 fof(f557,plain,(
% 0.20/0.46 sk_c6=multiply(sk_c7,sk_c7)|~spl0_7|~spl0_8),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f98,f556])).
% 0.20/0.46 fof(f559,plain,(
% 0.20/0.46 sk_c1=multiply(inverse(sk_c7),identity)|~spl0_7),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f369,f210])).
% 0.20/0.46 fof(f560,plain,(
% 0.20/0.46 sk_c1=inverse(sk_c7)|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f524,f559])).
% 0.20/0.46 fof(f565,plain,(
% 0.20/0.46 sk_c2=multiply(inverse(sk_c6),identity)|~spl0_9),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f368,f210])).
% 0.20/0.46 fof(f566,plain,(
% 0.20/0.46 sk_c2=inverse(sk_c6)|~spl0_9),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f524,f565])).
% 0.20/0.46 fof(f569,plain,(
% 0.20/0.46 ~sk_c2=sk_c5|~spl0_9|spl0_2),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f566,f79])).
% 0.20/0.46 fof(f575,plain,(
% 0.20/0.46 sk_c5=multiply(inverse(sk_c2),sk_c6)|~spl0_10),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f125,f210])).
% 0.20/0.46 fof(f576,plain,(
% 0.20/0.46 sk_c5=multiply(sk_c6,sk_c6)|~spl0_9|~spl0_10),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f116,f575])).
% 0.20/0.46 fof(f578,plain,(
% 0.20/0.46 sk_c7=multiply(inverse(sk_c6),sk_c5)|~spl0_0),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f71,f210])).
% 0.20/0.46 fof(f579,plain,(
% 0.20/0.46 sk_c7=multiply(sk_c2,sk_c5)|~spl0_9|~spl0_0),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f566,f578])).
% 0.20/0.46 fof(f580,plain,(
% 0.20/0.46 sk_c7=sk_c6|~spl0_10|~spl0_9|~spl0_0),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f125,f579])).
% 0.20/0.46 fof(f583,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c2)=sk_c1|~spl0_10|~spl0_0|~spl0_8|~spl0_9),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f580,f551])).
% 0.20/0.46 fof(f584,plain,(
% 0.20/0.46 identity=sk_c1|~spl0_10|~spl0_0|~spl0_8|~spl0_9),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f368,f583])).
% 0.20/0.46 fof(f585,plain,(
% 0.20/0.46 sk_c1=inverse(sk_c6)|~spl0_10|~spl0_9|~spl0_0|~spl0_7),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f580,f560])).
% 0.20/0.46 fof(f586,plain,(
% 0.20/0.46 identity=inverse(sk_c6)|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f584,f585])).
% 0.20/0.46 fof(f587,plain,(
% 0.20/0.46 identity=sk_c2|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f566,f586])).
% 0.20/0.46 fof(f588,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c1)=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_7),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f580,f369])).
% 0.20/0.46 fof(f589,plain,(
% 0.20/0.46 multiply(sk_c6,identity)=identity|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f584,f588])).
% 0.20/0.46 fof(f590,plain,(
% 0.20/0.46 sk_c6=identity|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f524,f589])).
% 0.20/0.46 fof(f605,plain,(
% 0.20/0.46 sk_c6=multiply(sk_c7,sk_c6)|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_8),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f580,f557])).
% 0.20/0.46 fof(f606,plain,(
% 0.20/0.46 identity=multiply(sk_c7,sk_c6)|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_8),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f590,f605])).
% 0.20/0.46 fof(f607,plain,(
% 0.20/0.46 identity=multiply(sk_c6,sk_c6)|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_8),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f580,f606])).
% 0.20/0.46 fof(f608,plain,(
% 0.20/0.46 identity=sk_c5|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_8),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f576,f607])).
% 0.20/0.46 fof(f650,plain,(
% 0.20/0.46 ~identity=sk_c5|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_9|spl0_2),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f587,f569])).
% 0.20/0.46 fof(f651,plain,(
% 0.20/0.46 ~identity=identity|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_9|spl0_2),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f608,f650])).
% 0.20/0.46 fof(f652,plain,(
% 0.20/0.46 $false|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_9|spl0_2),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f651])).
% 0.20/0.46 fof(f653,plain,(
% 0.20/0.46 ~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_9|spl0_2),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f652])).
% 0.20/0.46 fof(f663,plain,(
% 0.20/0.46 sk_c7=identity|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f590,f580])).
% 0.20/0.46 fof(f704,plain,(
% 0.20/0.46 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c6|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_13)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f590,f140])).
% 0.20/0.46 fof(f705,plain,(
% 0.20/0.46 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c6|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_13)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f524,f704])).
% 0.20/0.46 fof(f706,plain,(
% 0.20/0.46 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_13)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f663,f705])).
% 0.20/0.46 fof(f707,plain,(
% 0.20/0.46 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_13)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f590,f706])).
% 0.20/0.46 fof(f708,plain,(
% 0.20/0.46 ~inverse(identity)=identity|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_13),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f707])).
% 0.20/0.46 fof(f709,plain,(
% 0.20/0.46 $false|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_13),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f708,f537])).
% 0.20/0.46 fof(f710,plain,(
% 0.20/0.46 ~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_13),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f709])).
% 0.20/0.46 fof(f711,plain,(
% 0.20/0.46 multiply(identity,sk_c1)=multiply(sk_c4,identity)|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_5|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f608,f388])).
% 0.20/0.46 fof(f712,plain,(
% 0.20/0.46 sk_c1=multiply(sk_c4,identity)|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_5|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f35,f711])).
% 0.20/0.46 fof(f713,plain,(
% 0.20/0.46 identity=multiply(sk_c4,identity)|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_5|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f584,f712])).
% 0.20/0.46 fof(f714,plain,(
% 0.20/0.46 identity=sk_c4|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_5|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f524,f713])).
% 0.20/0.46 fof(f728,plain,(
% 0.20/0.46 ~inverse(identity)=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_5|~spl0_7|spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f714,f95])).
% 0.20/0.46 fof(f729,plain,(
% 0.20/0.46 ~identity=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_5|~spl0_7|spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f537,f728])).
% 0.20/0.46 fof(f730,plain,(
% 0.20/0.46 ~identity=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_5|~spl0_7|spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f663,f729])).
% 0.20/0.46 fof(f731,plain,(
% 0.20/0.46 $false|~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_5|~spl0_7|spl0_6),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f730])).
% 0.20/0.46 fof(f732,plain,(
% 0.20/0.46 ~spl0_10|~spl0_9|~spl0_0|~spl0_8|~spl0_5|~spl0_7|spl0_6),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f731])).
% 0.20/0.46 fof(f733,plain,(
% 0.20/0.46 ~multiply(identity,sk_c5)=sk_c7|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f590,f75])).
% 0.20/0.46 fof(f734,plain,(
% 0.20/0.46 ~sk_c5=sk_c7|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f35,f733])).
% 0.20/0.46 fof(f735,plain,(
% 0.20/0.46 ~identity=sk_c7|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f608,f734])).
% 0.20/0.46 fof(f736,plain,(
% 0.20/0.46 ~identity=identity|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f663,f735])).
% 0.20/0.46 fof(f737,plain,(
% 0.20/0.46 $false|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|spl0_1),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f736])).
% 0.20/0.46 fof(f738,plain,(
% 0.20/0.46 ~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|spl0_1),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f737])).
% 0.20/0.46 fof(f740,plain,(
% 0.20/0.46 ![X0]: (~multiply(X0,identity)=sk_c5|~inverse(X0)=sk_c7|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_14)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f663,f143])).
% 0.20/0.46 fof(f741,plain,(
% 0.20/0.46 ![X0]: (~X0=sk_c5|~inverse(X0)=sk_c7|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_14)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f524,f740])).
% 0.20/0.46 fof(f742,plain,(
% 0.20/0.46 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_14)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f608,f741])).
% 0.20/0.46 fof(f743,plain,(
% 0.20/0.46 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_14)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f663,f742])).
% 0.20/0.46 fof(f744,plain,(
% 0.20/0.46 ~inverse(identity)=identity|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_14),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f743])).
% 0.20/0.46 fof(f745,plain,(
% 0.20/0.46 $false|~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_14),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f744,f537])).
% 0.20/0.46 fof(f746,plain,(
% 0.20/0.46 ~spl0_8|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_14),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f745])).
% 0.20/0.46 fof(f747,plain,(
% 0.20/0.46 multiply(sk_c7,multiply(sk_c5,sk_c4))=sk_c3|~spl0_3|~spl0_1|~spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f524,f211])).
% 0.20/0.46 fof(f748,plain,(
% 0.20/0.46 multiply(sk_c5,sk_c4)=sk_c4|~spl0_5|~spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f524,f212])).
% 0.20/0.46 fof(f753,plain,(
% 0.20/0.46 multiply(sk_c7,sk_c4)=sk_c3|~spl0_5|~spl0_3|~spl0_1|~spl0_6),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f748,f747])).
% 0.20/0.46 fof(f754,plain,(
% 0.20/0.46 identity=sk_c3|~spl0_5|~spl0_3|~spl0_1|~spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f206,f753])).
% 0.20/0.46 fof(f765,plain,(
% 0.20/0.46 inverse(identity)=sk_c6|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f754,f86])).
% 0.20/0.46 fof(f766,plain,(
% 0.20/0.46 identity=sk_c6|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f537,f765])).
% 0.20/0.46 fof(f774,plain,(
% 0.20/0.46 multiply(identity,sk_c6)=sk_c7|~spl0_5|~spl0_1|~spl0_6|~spl0_3),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f754,f82])).
% 0.20/0.46 fof(f775,plain,(
% 0.20/0.46 sk_c6=sk_c7|~spl0_5|~spl0_1|~spl0_6|~spl0_3),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f35,f774])).
% 0.20/0.46 fof(f776,plain,(
% 0.20/0.46 identity=sk_c7|~spl0_4|~spl0_5|~spl0_1|~spl0_6|~spl0_3),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f766,f775])).
% 0.20/0.46 fof(f795,plain,(
% 0.20/0.46 ~multiply(identity,sk_c7)=sk_c5|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|spl0_0),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f766,f72])).
% 0.20/0.46 fof(f796,plain,(
% 0.20/0.46 ~sk_c7=sk_c5|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|spl0_0),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f35,f795])).
% 0.20/0.46 fof(f797,plain,(
% 0.20/0.46 ~identity=sk_c5|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|spl0_0),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f776,f796])).
% 0.20/0.46 fof(f807,plain,(
% 0.20/0.46 multiply(sk_c5,identity)=identity|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_2),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f766,f208])).
% 0.20/0.46 fof(f808,plain,(
% 0.20/0.46 sk_c5=identity|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_2),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f524,f807])).
% 0.20/0.46 fof(f809,plain,(
% 0.20/0.46 $false|spl0_0|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_2),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f808,f797])).
% 0.20/0.46 fof(f810,plain,(
% 0.20/0.46 spl0_0|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_2),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f809])).
% 0.20/0.46 fof(f811,plain,(
% 0.20/0.46 inverse(identity)=sk_c5|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_2),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f766,f78])).
% 0.20/0.47 fof(f812,plain,(
% 0.20/0.47 identity=sk_c5|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_2),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f537,f811])).
% 0.20/0.47 fof(f842,plain,(
% 0.20/0.47 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_12)),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f766,f137])).
% 0.20/0.47 fof(f843,plain,(
% 0.20/0.47 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_2|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_12)),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f812,f842])).
% 0.20/0.47 fof(f844,plain,(
% 0.20/0.47 ![X0]: (~inverse(X0)=identity|~X0=sk_c6|~spl0_2|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_12)),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f524,f843])).
% 0.20/0.47 fof(f845,plain,(
% 0.20/0.47 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_2|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_12)),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f766,f844])).
% 0.20/0.47 fof(f846,plain,(
% 0.20/0.47 ~inverse(identity)=identity|~spl0_2|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_12),
% 0.20/0.47 inference(destructive_equality_resolution,[status(esa)],[f845])).
% 0.20/0.47 fof(f847,plain,(
% 0.20/0.47 $false|~spl0_2|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_12),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f846,f537])).
% 0.20/0.47 fof(f848,plain,(
% 0.20/0.47 ~spl0_2|~spl0_5|~spl0_3|~spl0_1|~spl0_6|~spl0_4|~spl0_12),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f847])).
% 0.20/0.47 fof(f877,plain,(
% 0.20/0.47 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~spl0_4|~spl0_5|~spl0_1|~spl0_6|~spl0_3|~spl0_11)),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f776,f134])).
% 0.20/0.47 fof(f878,plain,(
% 0.20/0.47 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_4|~spl0_5|~spl0_1|~spl0_6|~spl0_3|~spl0_11)),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f766,f877])).
% 0.20/0.47 fof(f879,plain,(
% 0.20/0.47 ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_4|~spl0_5|~spl0_1|~spl0_6|~spl0_3|~spl0_11)),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f524,f878])).
% 0.20/0.47 fof(f880,plain,(
% 0.20/0.47 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_6|~spl0_3|~spl0_11)),
% 0.20/0.47 inference(forward_demodulation,[status(thm)],[f776,f879])).
% 0.20/0.47 fof(f881,plain,(
% 0.20/0.47 ~inverse(identity)=identity|~spl0_4|~spl0_5|~spl0_1|~spl0_6|~spl0_3|~spl0_11),
% 0.20/0.47 inference(destructive_equality_resolution,[status(esa)],[f880])).
% 0.20/0.47 fof(f882,plain,(
% 0.20/0.47 $false|~spl0_4|~spl0_5|~spl0_1|~spl0_6|~spl0_3|~spl0_11),
% 0.20/0.47 inference(forward_subsumption_resolution,[status(thm)],[f881,f537])).
% 0.20/0.47 fof(f883,plain,(
% 0.20/0.47 ~spl0_4|~spl0_5|~spl0_1|~spl0_6|~spl0_3|~spl0_11),
% 0.20/0.47 inference(contradiction_clause,[status(thm)],[f882])).
% 0.20/0.47 fof(f884,plain,(
% 0.20/0.47 $false),
% 0.20/0.47 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f150,f154,f158,f162,f177,f653,f710,f732,f738,f746,f810,f848,f883])).
% 0.20/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.48 % Elapsed time: 0.130114 seconds
% 0.20/0.48 % CPU time: 0.381110 seconds
% 0.20/0.48 % Memory used: 38.262 MB
%------------------------------------------------------------------------------