TSTP Solution File: GRP365-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP365-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:11:28 EDT 2023
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP365-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n029.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 11:42:52 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f7,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f8,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f9,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f10,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f11,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f12,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f13,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f14,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f15,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f16,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f17,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f18,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f19,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f20,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f21,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f22,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f23,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f24,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c3,sk_c6) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f25,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c3,sk_c6) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f26,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c3,sk_c6) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f27,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c3,sk_c6) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f28,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c3,sk_c6) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f29,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c3) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f30,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c3) = sk_c6| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f31,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c3) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f32,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c3) = sk_c6| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f33,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c3) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f34,negated_conjecture,(
% 0.09/0.39 (![X3,X4,X5,X1,X2]: (( multiply(sk_c6,sk_c8) != sk_c7| multiply(sk_c8,X3) != sk_c7| multiply(X4,sk_c8) != X3| inverse(X4) != sk_c8| multiply(X5,sk_c6) != sk_c8| inverse(X5) != sk_c6| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X2,sk_c8) != sk_c6| inverse(X2) != sk_c8 ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f35,plain,(
% 0.09/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.09/0.39 fof(f37,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.09/0.39 fof(f38,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.09/0.39 fof(f40,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f6])).
% 0.09/0.39 fof(f41,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.09/0.39 fof(f42,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.09/0.39 fof(f43,plain,(
% 0.09/0.39 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f9])).
% 0.09/0.39 fof(f44,plain,(
% 0.09/0.39 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f10])).
% 0.09/0.39 fof(f45,plain,(
% 0.09/0.39 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f11])).
% 0.09/0.39 fof(f46,plain,(
% 0.09/0.39 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.09/0.39 fof(f47,plain,(
% 0.09/0.39 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f13])).
% 0.09/0.39 fof(f48,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f14])).
% 0.09/0.39 fof(f49,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c4,sk_c8)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f15])).
% 0.09/0.39 fof(f50,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f16])).
% 0.09/0.39 fof(f51,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.09/0.39 fof(f52,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f18])).
% 0.09/0.39 fof(f53,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f19])).
% 0.09/0.39 fof(f54,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f20])).
% 0.09/0.39 fof(f55,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f21])).
% 0.09/0.39 fof(f56,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f22])).
% 0.09/0.39 fof(f57,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f23])).
% 0.09/0.39 fof(f58,plain,(
% 0.09/0.39 multiply(sk_c3,sk_c6)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f24])).
% 0.09/0.39 fof(f59,plain,(
% 0.09/0.39 multiply(sk_c3,sk_c6)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f25])).
% 0.09/0.39 fof(f60,plain,(
% 0.09/0.39 multiply(sk_c3,sk_c6)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f26])).
% 0.09/0.39 fof(f61,plain,(
% 0.09/0.39 multiply(sk_c3,sk_c6)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f27])).
% 0.09/0.39 fof(f62,plain,(
% 0.09/0.39 multiply(sk_c3,sk_c6)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f28])).
% 0.09/0.39 fof(f63,plain,(
% 0.09/0.39 inverse(sk_c3)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f29])).
% 0.09/0.39 fof(f64,plain,(
% 0.09/0.39 inverse(sk_c3)=sk_c6|multiply(sk_c4,sk_c8)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f30])).
% 0.09/0.39 fof(f65,plain,(
% 0.09/0.39 inverse(sk_c3)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f31])).
% 0.09/0.39 fof(f66,plain,(
% 0.09/0.39 inverse(sk_c3)=sk_c6|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f32])).
% 0.09/0.39 fof(f67,plain,(
% 0.09/0.39 inverse(sk_c3)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f33])).
% 0.09/0.39 fof(f68,plain,(
% 0.09/0.39 ![X2]: (((![X1]: ((((![X5]: (((![X4]: ((![X3]: ((~multiply(sk_c6,sk_c8)=sk_c7|~multiply(sk_c8,X3)=sk_c7)|~multiply(X4,sk_c8)=X3))|~inverse(X4)=sk_c8))|~multiply(X5,sk_c6)=sk_c8)|~inverse(X5)=sk_c6))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(X2,sk_c8)=sk_c6)|~inverse(X2)=sk_c8)),
% 0.09/0.39 inference(miniscoping,[status(esa)],[f34])).
% 0.09/0.39 fof(f69,plain,(
% 0.09/0.39 ![X0,X1,X2,X3,X4]: (~multiply(sk_c6,sk_c8)=sk_c7|~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~multiply(X2,sk_c6)=sk_c8|~inverse(X2)=sk_c6|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8)),
% 0.09/0.39 inference(cnf_transformation,[status(esa)],[f68])).
% 0.09/0.39 fof(f70,plain,(
% 0.09/0.39 spl0_0 <=> multiply(sk_c6,sk_c8)=sk_c7),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f71,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c8)=sk_c7|~spl0_0),
% 0.09/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.09/0.39 fof(f72,plain,(
% 0.09/0.39 ~multiply(sk_c6,sk_c8)=sk_c7|spl0_0),
% 0.09/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.09/0.39 fof(f73,plain,(
% 0.09/0.39 spl0_1 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f74,plain,(
% 0.09/0.39 multiply(sk_c8,sk_c7)=sk_c6|~spl0_1),
% 0.09/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.09/0.39 fof(f75,plain,(
% 0.09/0.39 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_1),
% 0.09/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.09/0.39 fof(f76,plain,(
% 0.09/0.39 spl0_0|spl0_1),
% 0.09/0.39 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.09/0.39 fof(f77,plain,(
% 0.09/0.39 spl0_2 <=> multiply(sk_c4,sk_c8)=sk_c7),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f78,plain,(
% 0.09/0.39 multiply(sk_c4,sk_c8)=sk_c7|~spl0_2),
% 0.09/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.09/0.39 fof(f80,plain,(
% 0.09/0.39 spl0_0|spl0_2),
% 0.09/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.09/0.39 fof(f81,plain,(
% 0.09/0.39 spl0_3 <=> inverse(sk_c4)=sk_c8),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f82,plain,(
% 0.09/0.39 inverse(sk_c4)=sk_c8|~spl0_3),
% 0.09/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.09/0.39 fof(f84,plain,(
% 0.09/0.39 spl0_0|spl0_3),
% 0.09/0.39 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.09/0.39 fof(f85,plain,(
% 0.09/0.39 spl0_4 <=> multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f86,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c8)=sk_c6|~spl0_4),
% 0.09/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.09/0.39 fof(f88,plain,(
% 0.09/0.39 spl0_0|spl0_4),
% 0.09/0.39 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.09/0.39 fof(f89,plain,(
% 0.09/0.39 spl0_5 <=> inverse(sk_c5)=sk_c8),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f90,plain,(
% 0.09/0.39 inverse(sk_c5)=sk_c8|~spl0_5),
% 0.09/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.09/0.39 fof(f92,plain,(
% 0.09/0.39 spl0_0|spl0_5),
% 0.09/0.39 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.09/0.39 fof(f93,plain,(
% 0.09/0.39 spl0_6 <=> multiply(sk_c8,sk_c2)=sk_c7),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f94,plain,(
% 0.09/0.39 multiply(sk_c8,sk_c2)=sk_c7|~spl0_6),
% 0.09/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.09/0.39 fof(f96,plain,(
% 0.09/0.39 spl0_6|spl0_1),
% 0.09/0.39 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.09/0.39 fof(f97,plain,(
% 0.09/0.39 spl0_6|spl0_2),
% 0.09/0.39 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.09/0.39 fof(f98,plain,(
% 0.09/0.39 spl0_6|spl0_3),
% 0.09/0.39 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.09/0.39 fof(f99,plain,(
% 0.09/0.39 spl0_6|spl0_4),
% 0.09/0.39 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.09/0.39 fof(f100,plain,(
% 0.09/0.39 spl0_6|spl0_5),
% 0.09/0.39 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.09/0.39 fof(f101,plain,(
% 0.09/0.39 spl0_7 <=> multiply(sk_c1,sk_c8)=sk_c2),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f102,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=sk_c2|~spl0_7),
% 0.09/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.09/0.39 fof(f104,plain,(
% 0.09/0.39 spl0_7|spl0_1),
% 0.09/0.39 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.09/0.39 fof(f105,plain,(
% 0.09/0.39 spl0_7|spl0_2),
% 0.09/0.39 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.09/0.39 fof(f106,plain,(
% 0.09/0.39 spl0_7|spl0_3),
% 0.09/0.39 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.09/0.39 fof(f107,plain,(
% 0.09/0.39 spl0_7|spl0_4),
% 0.09/0.39 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.09/0.39 fof(f108,plain,(
% 0.09/0.39 spl0_7|spl0_5),
% 0.09/0.39 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.09/0.39 fof(f109,plain,(
% 0.09/0.39 spl0_8 <=> inverse(sk_c1)=sk_c8),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f110,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c8|~spl0_8),
% 0.09/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.09/0.39 fof(f112,plain,(
% 0.09/0.39 spl0_8|spl0_1),
% 0.09/0.39 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.09/0.39 fof(f113,plain,(
% 0.09/0.39 spl0_8|spl0_2),
% 0.09/0.39 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.09/0.39 fof(f114,plain,(
% 0.09/0.39 spl0_8|spl0_3),
% 0.09/0.39 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.09/0.39 fof(f115,plain,(
% 0.09/0.39 spl0_8|spl0_4),
% 0.09/0.39 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.09/0.39 fof(f116,plain,(
% 0.09/0.39 spl0_8|spl0_5),
% 0.09/0.39 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.09/0.39 fof(f117,plain,(
% 0.09/0.39 spl0_9 <=> multiply(sk_c3,sk_c6)=sk_c8),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f118,plain,(
% 0.09/0.39 multiply(sk_c3,sk_c6)=sk_c8|~spl0_9),
% 0.09/0.39 inference(component_clause,[status(thm)],[f117])).
% 0.09/0.39 fof(f120,plain,(
% 0.09/0.39 spl0_9|spl0_1),
% 0.09/0.39 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.09/0.39 fof(f121,plain,(
% 0.09/0.39 spl0_9|spl0_2),
% 0.09/0.39 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.09/0.39 fof(f122,plain,(
% 0.09/0.39 spl0_9|spl0_3),
% 0.09/0.39 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.09/0.39 fof(f123,plain,(
% 0.09/0.39 spl0_9|spl0_4),
% 0.09/0.39 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.09/0.39 fof(f124,plain,(
% 0.09/0.39 spl0_9|spl0_5),
% 0.09/0.39 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.09/0.39 fof(f125,plain,(
% 0.09/0.39 spl0_10 <=> inverse(sk_c3)=sk_c6),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f126,plain,(
% 0.09/0.39 inverse(sk_c3)=sk_c6|~spl0_10),
% 0.09/0.39 inference(component_clause,[status(thm)],[f125])).
% 0.09/0.39 fof(f128,plain,(
% 0.09/0.39 spl0_10|spl0_1),
% 0.09/0.39 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.09/0.39 fof(f129,plain,(
% 0.09/0.39 spl0_10|spl0_2),
% 0.09/0.39 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.09/0.39 fof(f130,plain,(
% 0.09/0.39 spl0_10|spl0_3),
% 0.09/0.39 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.09/0.39 fof(f131,plain,(
% 0.09/0.39 spl0_10|spl0_4),
% 0.09/0.39 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.09/0.39 fof(f132,plain,(
% 0.09/0.39 spl0_10|spl0_5),
% 0.09/0.39 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.09/0.39 fof(f133,plain,(
% 0.09/0.39 spl0_11 <=> ~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f134,plain,(
% 0.09/0.39 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_11)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.09/0.39 fof(f136,plain,(
% 0.09/0.39 spl0_12 <=> ~multiply(X2,sk_c6)=sk_c8|~inverse(X2)=sk_c6),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f137,plain,(
% 0.09/0.39 ![X0]: (~multiply(X0,sk_c6)=sk_c8|~inverse(X0)=sk_c6|~spl0_12)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.09/0.39 fof(f139,plain,(
% 0.09/0.39 spl0_13 <=> ~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f140,plain,(
% 0.09/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f139])).
% 0.09/0.39 fof(f142,plain,(
% 0.09/0.39 spl0_14 <=> ~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f143,plain,(
% 0.09/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~spl0_14)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f142])).
% 0.09/0.39 fof(f145,plain,(
% 0.09/0.39 ~spl0_0|spl0_11|spl0_12|~spl0_1|spl0_13|spl0_14),
% 0.09/0.39 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.09/0.39 fof(f150,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.09/0.39 fof(f151,plain,(
% 0.09/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f35,f150])).
% 0.09/0.39 fof(f152,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f151,f151])).
% 0.09/0.39 fof(f153,plain,(
% 0.09/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f36,f151])).
% 0.09/0.39 fof(f162,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f151,f152])).
% 0.09/0.39 fof(f163,plain,(
% 0.09/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f36,f152])).
% 0.09/0.39 fof(f172,plain,(
% 0.09/0.39 inverse(identity)=identity),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f35,f163])).
% 0.09/0.39 fof(f191,plain,(
% 0.09/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f152,f153])).
% 0.09/0.39 fof(f192,plain,(
% 0.09/0.39 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f152,f191])).
% 0.09/0.39 fof(f193,plain,(
% 0.09/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f191,f192])).
% 0.09/0.39 fof(f628,plain,(
% 0.09/0.39 inverse(sk_c6)=sk_c3|~spl0_10),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f126,f193])).
% 0.09/0.39 fof(f634,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c8)=identity|~spl0_8),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f110,f163])).
% 0.09/0.39 fof(f650,plain,(
% 0.09/0.39 sk_c8=multiply(inverse(sk_c5),sk_c6)|~spl0_4),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f86,f151])).
% 0.09/0.39 fof(f651,plain,(
% 0.09/0.39 sk_c8=multiply(sk_c8,sk_c6)|~spl0_5|~spl0_4),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f90,f650])).
% 0.09/0.39 fof(f683,plain,(
% 0.09/0.39 sk_c8=multiply(inverse(sk_c4),sk_c7)|~spl0_2),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f78,f151])).
% 0.09/0.39 fof(f684,plain,(
% 0.09/0.39 sk_c8=multiply(sk_c8,sk_c7)|~spl0_3|~spl0_2),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f82,f683])).
% 0.09/0.39 fof(f723,plain,(
% 0.09/0.39 spl0_15 <=> identity=sk_c6),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f726,plain,(
% 0.09/0.39 spl0_16 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f728,plain,(
% 0.09/0.39 ~inverse(inverse(sk_c8))=sk_c8|spl0_16),
% 0.09/0.39 inference(component_clause,[status(thm)],[f726])).
% 0.09/0.39 fof(f729,plain,(
% 0.09/0.39 ~identity=sk_c6|~inverse(inverse(sk_c8))=sk_c8|~spl0_14),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f36,f143])).
% 0.09/0.39 fof(f730,plain,(
% 0.09/0.39 ~spl0_15|~spl0_16|~spl0_14),
% 0.09/0.39 inference(split_clause,[status(thm)],[f729,f723,f726,f142])).
% 0.09/0.39 fof(f731,plain,(
% 0.09/0.39 spl0_17 <=> sk_c8=sk_c6),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f733,plain,(
% 0.09/0.39 ~sk_c8=sk_c6|spl0_17),
% 0.09/0.39 inference(component_clause,[status(thm)],[f731])).
% 0.09/0.39 fof(f734,plain,(
% 0.09/0.39 spl0_18 <=> inverse(identity)=sk_c8),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f735,plain,(
% 0.09/0.39 inverse(identity)=sk_c8|~spl0_18),
% 0.09/0.39 inference(component_clause,[status(thm)],[f734])).
% 0.09/0.39 fof(f736,plain,(
% 0.09/0.39 ~inverse(identity)=sk_c8|spl0_18),
% 0.09/0.39 inference(component_clause,[status(thm)],[f734])).
% 0.09/0.39 fof(f737,plain,(
% 0.09/0.39 ~sk_c8=sk_c6|~inverse(identity)=sk_c8|~spl0_14),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f35,f143])).
% 0.09/0.39 fof(f738,plain,(
% 0.09/0.39 ~spl0_17|~spl0_18|~spl0_14),
% 0.09/0.39 inference(split_clause,[status(thm)],[f737,f731,f734,f142])).
% 0.09/0.39 fof(f740,plain,(
% 0.09/0.39 ~identity=sk_c8|spl0_18),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f172,f736])).
% 0.09/0.39 fof(f741,plain,(
% 0.09/0.39 ~sk_c8=sk_c8|spl0_16),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f193,f728])).
% 0.09/0.39 fof(f742,plain,(
% 0.09/0.39 $false|spl0_16),
% 0.09/0.39 inference(trivial_equality_resolution,[status(esa)],[f741])).
% 0.09/0.39 fof(f743,plain,(
% 0.09/0.39 spl0_16),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f742])).
% 0.09/0.39 fof(f1552,plain,(
% 0.09/0.39 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_11)),
% 0.09/0.39 inference(destructive_equality_resolution,[status(esa)],[f134])).
% 0.09/0.39 fof(f1597,plain,(
% 0.09/0.39 sk_c8=multiply(inverse(sk_c6),sk_c7)|~spl0_0),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f71,f151])).
% 0.09/0.39 fof(f1598,plain,(
% 0.09/0.39 sk_c8=multiply(sk_c3,sk_c7)|~spl0_10|~spl0_0),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f628,f1597])).
% 0.09/0.39 fof(f1602,plain,(
% 0.09/0.39 spl0_19 <=> sk_c7=sk_c7),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f1604,plain,(
% 0.09/0.39 ~sk_c7=sk_c7|spl0_19),
% 0.09/0.39 inference(component_clause,[status(thm)],[f1602])).
% 0.09/0.39 fof(f1612,plain,(
% 0.09/0.39 spl0_21 <=> identity=sk_c7),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f1614,plain,(
% 0.09/0.39 ~identity=sk_c7|spl0_21),
% 0.09/0.39 inference(component_clause,[status(thm)],[f1612])).
% 0.09/0.39 fof(f1615,plain,(
% 0.09/0.39 ~identity=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_13),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f36,f140])).
% 0.09/0.39 fof(f1616,plain,(
% 0.09/0.39 ~spl0_21|~spl0_16|~spl0_13),
% 0.09/0.39 inference(split_clause,[status(thm)],[f1615,f1612,f726,f139])).
% 0.09/0.39 fof(f1617,plain,(
% 0.09/0.39 spl0_22 <=> sk_c8=sk_c7),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f1619,plain,(
% 0.09/0.39 ~sk_c8=sk_c7|spl0_22),
% 0.09/0.39 inference(component_clause,[status(thm)],[f1617])).
% 0.09/0.39 fof(f1624,plain,(
% 0.09/0.39 $false|spl0_19),
% 0.09/0.39 inference(trivial_equality_resolution,[status(esa)],[f1604])).
% 0.09/0.39 fof(f1625,plain,(
% 0.09/0.39 spl0_19),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f1624])).
% 0.09/0.39 fof(f1713,plain,(
% 0.09/0.39 sk_c6=multiply(inverse(sk_c8),sk_c8)|~spl0_5|~spl0_4),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f651,f151])).
% 0.09/0.39 fof(f1714,plain,(
% 0.09/0.39 sk_c6=identity|~spl0_5|~spl0_4),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f36,f1713])).
% 0.09/0.39 fof(f1724,plain,(
% 0.09/0.39 multiply(identity,sk_c8)=sk_c7|~spl0_5|~spl0_4|~spl0_0),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f1714,f71])).
% 0.09/0.39 fof(f1725,plain,(
% 0.09/0.39 sk_c8=sk_c7|~spl0_5|~spl0_4|~spl0_0),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f35,f1724])).
% 0.09/0.39 fof(f1726,plain,(
% 0.09/0.39 $false|spl0_22|~spl0_5|~spl0_4|~spl0_0),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1725,f1619])).
% 0.09/0.39 fof(f1727,plain,(
% 0.09/0.39 spl0_22|~spl0_5|~spl0_4|~spl0_0),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f1726])).
% 0.09/0.39 fof(f1728,plain,(
% 0.09/0.39 ~multiply(identity,sk_c8)=sk_c7|~spl0_5|~spl0_4|spl0_0),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f1714,f72])).
% 0.09/0.39 fof(f1729,plain,(
% 0.09/0.39 ~sk_c8=sk_c7|~spl0_5|~spl0_4|spl0_0),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f35,f1728])).
% 0.09/0.39 fof(f1736,plain,(
% 0.09/0.39 ~sk_c8=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_11),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f162,f1552])).
% 0.09/0.39 fof(f1737,plain,(
% 0.09/0.39 ~spl0_22|~spl0_16|~spl0_11),
% 0.09/0.39 inference(split_clause,[status(thm)],[f1736,f1617,f726,f133])).
% 0.09/0.39 fof(f1738,plain,(
% 0.09/0.39 spl0_23 <=> multiply(sk_c8,identity)=sk_c7),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f1740,plain,(
% 0.09/0.39 ~multiply(sk_c8,identity)=sk_c7|spl0_23),
% 0.09/0.39 inference(component_clause,[status(thm)],[f1738])).
% 0.09/0.39 fof(f1745,plain,(
% 0.09/0.39 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_11),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f36,f1552])).
% 0.09/0.39 fof(f1746,plain,(
% 0.09/0.39 ~spl0_23|~spl0_16|~spl0_11),
% 0.09/0.39 inference(split_clause,[status(thm)],[f1745,f1738,f726,f133])).
% 0.09/0.39 fof(f1747,plain,(
% 0.09/0.39 spl0_24 <=> multiply(sk_c8,sk_c8)=sk_c7),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f1750,plain,(
% 0.09/0.39 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~spl0_11),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f35,f1552])).
% 0.09/0.39 fof(f1751,plain,(
% 0.09/0.39 ~spl0_24|~spl0_18|~spl0_11),
% 0.09/0.39 inference(split_clause,[status(thm)],[f1750,f1747,f734,f133])).
% 0.09/0.39 fof(f1753,plain,(
% 0.09/0.39 ~sk_c8=sk_c7|spl0_23),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f191,f1740])).
% 0.09/0.39 fof(f2392,plain,(
% 0.09/0.39 multiply(sk_c3,sk_c6)=identity|~spl0_10),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f628,f36])).
% 0.09/0.39 fof(f2393,plain,(
% 0.09/0.39 sk_c8=identity|~spl0_9|~spl0_10),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f118,f2392])).
% 0.09/0.39 fof(f2394,plain,(
% 0.09/0.39 $false|spl0_18|~spl0_9|~spl0_10),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2393,f740])).
% 0.09/0.39 fof(f2395,plain,(
% 0.09/0.39 spl0_18|~spl0_9|~spl0_10),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f2394])).
% 0.09/0.39 fof(f2396,plain,(
% 0.09/0.39 identity=sk_c8|~spl0_18),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f172,f735])).
% 0.09/0.39 fof(f2449,plain,(
% 0.09/0.39 multiply(identity,sk_c2)=sk_c7|~spl0_9|~spl0_10|~spl0_6),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f2393,f94])).
% 0.09/0.39 fof(f2450,plain,(
% 0.09/0.39 sk_c2=sk_c7|~spl0_9|~spl0_10|~spl0_6),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f35,f2449])).
% 0.09/0.39 fof(f2522,plain,(
% 0.09/0.39 ~identity=sk_c7|~spl0_9|~spl0_10|spl0_23),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f2393,f1753])).
% 0.09/0.39 fof(f2523,plain,(
% 0.09/0.39 ~spl0_21|~spl0_9|~spl0_10|spl0_23),
% 0.09/0.39 inference(split_clause,[status(thm)],[f2522,f1612,f117,f125,f1738])).
% 0.09/0.39 fof(f2533,plain,(
% 0.09/0.39 spl0_25 <=> identity=sk_c8),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f2535,plain,(
% 0.09/0.39 ~identity=sk_c8|spl0_25),
% 0.09/0.39 inference(component_clause,[status(thm)],[f2533])).
% 0.09/0.39 fof(f2536,plain,(
% 0.09/0.39 spl0_26 <=> inverse(inverse(sk_c6))=sk_c6),
% 0.09/0.39 introduced(split_symbol_definition)).
% 0.09/0.39 fof(f2538,plain,(
% 0.09/0.39 ~inverse(inverse(sk_c6))=sk_c6|spl0_26),
% 0.09/0.39 inference(component_clause,[status(thm)],[f2536])).
% 0.09/0.39 fof(f2539,plain,(
% 0.09/0.39 ~identity=sk_c8|~inverse(inverse(sk_c6))=sk_c6|~spl0_12),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f36,f137])).
% 0.09/0.39 fof(f2540,plain,(
% 0.09/0.39 ~spl0_25|~spl0_26|~spl0_12),
% 0.09/0.39 inference(split_clause,[status(thm)],[f2539,f2533,f2536,f136])).
% 0.09/0.39 fof(f2547,plain,(
% 0.09/0.39 ~sk_c6=sk_c6|spl0_26),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f193,f2538])).
% 0.09/0.39 fof(f2548,plain,(
% 0.09/0.39 $false|spl0_26),
% 0.09/0.39 inference(trivial_equality_resolution,[status(esa)],[f2547])).
% 0.09/0.39 fof(f2549,plain,(
% 0.09/0.39 spl0_26),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f2548])).
% 0.09/0.39 fof(f2551,plain,(
% 0.09/0.39 ~sk_c8=identity|~spl0_5|~spl0_4|spl0_17),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f1714,f733])).
% 0.09/0.39 fof(f2961,plain,(
% 0.09/0.39 sk_c7=multiply(inverse(sk_c8),sk_c8)|~spl0_3|~spl0_2),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f684,f151])).
% 0.09/0.39 fof(f2962,plain,(
% 0.09/0.39 sk_c7=identity|~spl0_3|~spl0_2),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f36,f2961])).
% 0.09/0.39 fof(f2963,plain,(
% 0.09/0.39 $false|spl0_21|~spl0_3|~spl0_2),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2962,f1614])).
% 0.09/0.39 fof(f2964,plain,(
% 0.09/0.39 spl0_21|~spl0_3|~spl0_2),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f2963])).
% 0.09/0.39 fof(f3011,plain,(
% 0.09/0.39 multiply(sk_c8,identity)=sk_c6|~spl0_3|~spl0_2|~spl0_1),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f2962,f74])).
% 0.09/0.39 fof(f3012,plain,(
% 0.09/0.39 sk_c8=sk_c6|~spl0_3|~spl0_2|~spl0_1),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f191,f3011])).
% 0.09/0.39 fof(f3013,plain,(
% 0.09/0.39 sk_c8=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f1714,f3012])).
% 0.09/0.39 fof(f3014,plain,(
% 0.09/0.39 $false|spl0_18|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f3013,f740])).
% 0.09/0.39 fof(f3015,plain,(
% 0.09/0.39 spl0_18|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f3014])).
% 0.09/0.39 fof(f3016,plain,(
% 0.09/0.39 sk_c2=identity|~spl0_7|~spl0_8),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f102,f634])).
% 0.09/0.39 fof(f3627,plain,(
% 0.09/0.39 $false|spl0_25|~spl0_18),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2396,f2535])).
% 0.09/0.39 fof(f3628,plain,(
% 0.09/0.39 spl0_25|~spl0_18),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f3627])).
% 0.09/0.39 fof(f3629,plain,(
% 0.09/0.39 ~sk_c8=identity|~spl0_3|~spl0_2|~spl0_5|~spl0_4|spl0_0),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f2962,f1729])).
% 0.09/0.39 fof(f3630,plain,(
% 0.09/0.39 ~spl0_25|~spl0_3|~spl0_2|~spl0_5|~spl0_4|spl0_0),
% 0.09/0.39 inference(split_clause,[status(thm)],[f3629,f2533,f81,f77,f89,f85,f70])).
% 0.09/0.39 fof(f3633,plain,(
% 0.09/0.39 ~spl0_25|~spl0_5|~spl0_4|spl0_17),
% 0.09/0.39 inference(split_clause,[status(thm)],[f2551,f2533,f89,f85,f731])).
% 0.09/0.39 fof(f3674,plain,(
% 0.09/0.39 identity=sk_c7|~spl0_7|~spl0_8|~spl0_9|~spl0_10|~spl0_6),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f3016,f2450])).
% 0.09/0.39 fof(f3675,plain,(
% 0.09/0.39 ~identity=identity|~spl0_7|~spl0_8|~spl0_9|~spl0_10|~spl0_6|spl0_21),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f3674,f1614])).
% 0.09/0.39 fof(f3676,plain,(
% 0.09/0.39 $false|~spl0_7|~spl0_8|~spl0_9|~spl0_10|~spl0_6|spl0_21),
% 0.09/0.39 inference(trivial_equality_resolution,[status(esa)],[f3675])).
% 0.14/0.40 fof(f3677,plain,(
% 0.14/0.40 ~spl0_7|~spl0_8|~spl0_9|~spl0_10|~spl0_6|spl0_21),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f3676])).
% 0.14/0.40 fof(f3730,plain,(
% 0.14/0.40 identity=multiply(sk_c3,sk_c7)|~spl0_18|~spl0_10|~spl0_0),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f2396,f1598])).
% 0.14/0.40 fof(f3731,plain,(
% 0.14/0.40 identity=multiply(sk_c3,identity)|~spl0_7|~spl0_8|~spl0_9|~spl0_6|~spl0_18|~spl0_10|~spl0_0),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f3674,f3730])).
% 0.14/0.40 fof(f3732,plain,(
% 0.14/0.40 identity=sk_c3|~spl0_7|~spl0_8|~spl0_9|~spl0_6|~spl0_18|~spl0_10|~spl0_0),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f191,f3731])).
% 0.14/0.40 fof(f3733,plain,(
% 0.14/0.40 inverse(identity)=sk_c6|~spl0_7|~spl0_8|~spl0_9|~spl0_6|~spl0_18|~spl0_0|~spl0_10),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f3732,f126])).
% 0.14/0.40 fof(f3734,plain,(
% 0.14/0.40 identity=sk_c6|~spl0_7|~spl0_8|~spl0_9|~spl0_6|~spl0_18|~spl0_0|~spl0_10),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f172,f3733])).
% 0.14/0.40 fof(f3743,plain,(
% 0.14/0.40 ~multiply(identity,sk_c7)=sk_c6|~spl0_18|spl0_1),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f2396,f75])).
% 0.14/0.40 fof(f3744,plain,(
% 0.14/0.40 ~sk_c7=sk_c6|~spl0_18|spl0_1),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f35,f3743])).
% 0.14/0.40 fof(f3745,plain,(
% 0.14/0.40 ~identity=sk_c6|~spl0_7|~spl0_8|~spl0_9|~spl0_10|~spl0_6|~spl0_18|spl0_1),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f3674,f3744])).
% 0.14/0.40 fof(f3746,plain,(
% 0.14/0.40 ~identity=identity|~spl0_0|~spl0_7|~spl0_8|~spl0_9|~spl0_10|~spl0_6|~spl0_18|spl0_1),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f3734,f3745])).
% 0.14/0.40 fof(f3747,plain,(
% 0.14/0.40 $false|~spl0_0|~spl0_7|~spl0_8|~spl0_9|~spl0_10|~spl0_6|~spl0_18|spl0_1),
% 0.14/0.40 inference(trivial_equality_resolution,[status(esa)],[f3746])).
% 0.14/0.40 fof(f3748,plain,(
% 0.14/0.40 ~spl0_0|~spl0_7|~spl0_8|~spl0_9|~spl0_10|~spl0_6|~spl0_18|spl0_1),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f3747])).
% 0.14/0.40 fof(f3749,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c8|~spl0_18|~spl0_14)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f2396,f143])).
% 0.14/0.40 fof(f3750,plain,(
% 0.14/0.40 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c8|~spl0_18|~spl0_14)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f191,f3749])).
% 0.14/0.40 fof(f3751,plain,(
% 0.14/0.40 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_7|~spl0_8|~spl0_9|~spl0_6|~spl0_0|~spl0_10|~spl0_18|~spl0_14)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f3734,f3750])).
% 0.14/0.40 fof(f3752,plain,(
% 0.14/0.40 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_7|~spl0_8|~spl0_9|~spl0_6|~spl0_0|~spl0_10|~spl0_18|~spl0_14)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f2396,f3751])).
% 0.14/0.40 fof(f3753,plain,(
% 0.14/0.40 ~inverse(identity)=identity|~spl0_7|~spl0_8|~spl0_9|~spl0_6|~spl0_0|~spl0_10|~spl0_18|~spl0_14),
% 0.14/0.40 inference(destructive_equality_resolution,[status(esa)],[f3752])).
% 0.14/0.40 fof(f3754,plain,(
% 0.14/0.40 $false|~spl0_7|~spl0_8|~spl0_9|~spl0_6|~spl0_0|~spl0_10|~spl0_18|~spl0_14),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f3753,f172])).
% 0.14/0.40 fof(f3755,plain,(
% 0.14/0.40 ~spl0_7|~spl0_8|~spl0_9|~spl0_6|~spl0_0|~spl0_10|~spl0_18|~spl0_14),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f3754])).
% 0.14/0.40 fof(f3756,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f145,f730,f738,f743,f1616,f1625,f1727,f1737,f1746,f1751,f2395,f2523,f2540,f2549,f2964,f3015,f3628,f3630,f3633,f3677,f3748,f3755])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.077695 seconds
% 0.14/0.40 % CPU time: 0.184311 seconds
% 0.14/0.40 % Memory used: 30.395 MB
%------------------------------------------------------------------------------