TSTP Solution File: GRP223-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP223-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:11:02 EDT 2023
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP223-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:32:52 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f1,axiom,(
% 0.12/0.35 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f2,axiom,(
% 0.12/0.35 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f3,axiom,(
% 0.12/0.35 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f4,negated_conjecture,(
% 0.12/0.35 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f5,negated_conjecture,(
% 0.12/0.35 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f6,negated_conjecture,(
% 0.12/0.35 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f7,negated_conjecture,(
% 0.12/0.35 ( inverse(sk_c1) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f8,negated_conjecture,(
% 0.12/0.35 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f9,negated_conjecture,(
% 0.12/0.35 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f10,negated_conjecture,(
% 0.12/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f11,negated_conjecture,(
% 0.12/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f12,negated_conjecture,(
% 0.12/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f13,negated_conjecture,(
% 0.12/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f14,negated_conjecture,(
% 0.12/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f15,negated_conjecture,(
% 0.12/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f16,negated_conjecture,(
% 0.12/0.35 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f17,negated_conjecture,(
% 0.12/0.35 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c4) = sk_c5 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f18,negated_conjecture,(
% 0.12/0.35 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f19,negated_conjecture,(
% 0.12/0.35 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f20,negated_conjecture,(
% 0.12/0.36 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f21,negated_conjecture,(
% 0.12/0.36 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f22,negated_conjecture,(
% 0.12/0.36 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f23,negated_conjecture,(
% 0.12/0.36 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c4) = sk_c5 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f24,negated_conjecture,(
% 0.12/0.36 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f25,negated_conjecture,(
% 0.12/0.36 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f26,negated_conjecture,(
% 0.12/0.36 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f27,negated_conjecture,(
% 0.12/0.36 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f28,negated_conjecture,(
% 0.12/0.36 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f29,negated_conjecture,(
% 0.12/0.36 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f30,negated_conjecture,(
% 0.12/0.36 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f31,negated_conjecture,(
% 0.12/0.36 ( inverse(sk_c2) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f32,negated_conjecture,(
% 0.12/0.36 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f33,negated_conjecture,(
% 0.12/0.36 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f34,negated_conjecture,(
% 0.12/0.36 (![X4,X5,X6,X2,X1,X3,X7]: (( inverse(X4) != sk_c9| multiply(X4,sk_c8) != sk_c9| multiply(sk_c9,X5) != sk_c8| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9| multiply(X2,X1) != sk_c9| inverse(X2) != X1| multiply(X1,sk_c8) != sk_c9| multiply(sk_c9,X3) != sk_c8| multiply(X7,sk_c9) != X3| inverse(X7) != sk_c9 ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f35,plain,(
% 0.12/0.36 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.12/0.36 fof(f36,plain,(
% 0.12/0.36 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.36 fof(f37,plain,(
% 0.12/0.36 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.36 fof(f38,plain,(
% 0.12/0.36 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.36 fof(f39,plain,(
% 0.12/0.36 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f40,plain,(
% 0.12/0.36 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.36 fof(f41,plain,(
% 0.12/0.36 inverse(sk_c1)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.12/0.36 fof(f42,plain,(
% 0.12/0.36 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.12/0.36 fof(f43,plain,(
% 0.12/0.36 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.36 fof(f44,plain,(
% 0.12/0.36 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.12/0.36 fof(f45,plain,(
% 0.12/0.36 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.12/0.36 fof(f46,plain,(
% 0.12/0.36 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.36 fof(f47,plain,(
% 0.12/0.36 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.12/0.36 fof(f48,plain,(
% 0.12/0.36 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f14])).
% 0.12/0.36 fof(f49,plain,(
% 0.12/0.36 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.12/0.36 fof(f50,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c4,sk_c5)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.12/0.36 fof(f51,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c4)=sk_c5),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.36 fof(f52,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.12/0.36 fof(f53,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.12/0.36 fof(f54,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f20])).
% 0.12/0.36 fof(f55,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.12/0.36 fof(f56,plain,(
% 0.12/0.36 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c4,sk_c5)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f22])).
% 0.12/0.36 fof(f57,plain,(
% 0.12/0.36 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c4)=sk_c5),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.12/0.36 fof(f58,plain,(
% 0.12/0.36 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f24])).
% 0.12/0.36 fof(f59,plain,(
% 0.12/0.36 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c9,sk_c7)=sk_c8),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.36 fof(f60,plain,(
% 0.12/0.36 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f26])).
% 0.12/0.36 fof(f61,plain,(
% 0.12/0.36 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c6)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f27])).
% 0.12/0.36 fof(f62,plain,(
% 0.12/0.36 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f28])).
% 0.12/0.36 fof(f63,plain,(
% 0.12/0.36 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f29])).
% 0.12/0.36 fof(f64,plain,(
% 0.12/0.36 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f30])).
% 0.12/0.36 fof(f65,plain,(
% 0.12/0.36 inverse(sk_c2)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.12/0.36 fof(f66,plain,(
% 0.12/0.36 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f32])).
% 0.12/0.36 fof(f67,plain,(
% 0.12/0.36 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f33])).
% 0.12/0.36 fof(f68,plain,(
% 0.12/0.36 ![X7]: ((![X3]: (((![X1]: ((![X2]: (((![X6]: ((![X5]: (((![X4]: (~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9))|~multiply(sk_c9,X5)=sk_c8)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9))|~multiply(X2,X1)=sk_c9)|~inverse(X2)=X1))|~multiply(X1,sk_c8)=sk_c9))|~multiply(sk_c9,X3)=sk_c8)|~multiply(X7,sk_c9)=X3))|~inverse(X7)=sk_c9)),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f34])).
% 0.12/0.36 fof(f69,plain,(
% 0.12/0.36 ![X0,X1,X2,X3,X4,X5,X6]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9|~multiply(X3,X4)=sk_c9|~inverse(X3)=X4|~multiply(X4,sk_c8)=sk_c9|~multiply(sk_c9,X5)=sk_c8|~multiply(X6,sk_c9)=X5|~inverse(X6)=sk_c9)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f68])).
% 0.12/0.36 fof(f70,plain,(
% 0.12/0.36 spl0_0 <=> inverse(sk_c1)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f71,plain,(
% 0.12/0.36 inverse(sk_c1)=sk_c9|~spl0_0),
% 0.12/0.36 inference(component_clause,[status(thm)],[f70])).
% 0.12/0.36 fof(f73,plain,(
% 0.12/0.36 spl0_1 <=> multiply(sk_c4,sk_c5)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f74,plain,(
% 0.12/0.36 multiply(sk_c4,sk_c5)=sk_c9|~spl0_1),
% 0.12/0.36 inference(component_clause,[status(thm)],[f73])).
% 0.12/0.36 fof(f76,plain,(
% 0.12/0.36 spl0_0|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.12/0.36 fof(f77,plain,(
% 0.12/0.36 spl0_2 <=> inverse(sk_c4)=sk_c5),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f78,plain,(
% 0.12/0.36 inverse(sk_c4)=sk_c5|~spl0_2),
% 0.12/0.36 inference(component_clause,[status(thm)],[f77])).
% 0.12/0.36 fof(f80,plain,(
% 0.12/0.36 spl0_0|spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.12/0.36 fof(f81,plain,(
% 0.12/0.36 spl0_3 <=> multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f82,plain,(
% 0.12/0.36 multiply(sk_c5,sk_c8)=sk_c9|~spl0_3),
% 0.12/0.36 inference(component_clause,[status(thm)],[f81])).
% 0.12/0.36 fof(f84,plain,(
% 0.12/0.36 spl0_0|spl0_3),
% 0.12/0.36 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.12/0.36 fof(f85,plain,(
% 0.12/0.36 spl0_4 <=> multiply(sk_c9,sk_c7)=sk_c8),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f86,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c7)=sk_c8|~spl0_4),
% 0.12/0.36 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.36 fof(f88,plain,(
% 0.12/0.36 spl0_0|spl0_4),
% 0.12/0.36 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.12/0.36 fof(f89,plain,(
% 0.12/0.36 spl0_5 <=> multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f90,plain,(
% 0.12/0.36 multiply(sk_c6,sk_c9)=sk_c7|~spl0_5),
% 0.12/0.36 inference(component_clause,[status(thm)],[f89])).
% 0.12/0.36 fof(f92,plain,(
% 0.12/0.36 spl0_0|spl0_5),
% 0.12/0.36 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.12/0.36 fof(f93,plain,(
% 0.12/0.36 spl0_6 <=> inverse(sk_c6)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f94,plain,(
% 0.12/0.36 inverse(sk_c6)=sk_c9|~spl0_6),
% 0.12/0.36 inference(component_clause,[status(thm)],[f93])).
% 0.12/0.36 fof(f96,plain,(
% 0.12/0.36 spl0_0|spl0_6),
% 0.12/0.36 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.12/0.36 fof(f97,plain,(
% 0.12/0.36 spl0_7 <=> multiply(sk_c1,sk_c8)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f98,plain,(
% 0.12/0.36 multiply(sk_c1,sk_c8)=sk_c9|~spl0_7),
% 0.12/0.36 inference(component_clause,[status(thm)],[f97])).
% 0.12/0.36 fof(f100,plain,(
% 0.12/0.36 spl0_7|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.12/0.36 fof(f101,plain,(
% 0.12/0.36 spl0_7|spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.12/0.36 fof(f102,plain,(
% 0.12/0.36 spl0_7|spl0_3),
% 0.12/0.36 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.12/0.36 fof(f103,plain,(
% 0.12/0.36 spl0_7|spl0_4),
% 0.12/0.36 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.12/0.36 fof(f104,plain,(
% 0.12/0.36 spl0_7|spl0_5),
% 0.12/0.36 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.12/0.36 fof(f105,plain,(
% 0.12/0.36 spl0_7|spl0_6),
% 0.12/0.36 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.12/0.36 fof(f106,plain,(
% 0.12/0.36 spl0_8 <=> multiply(sk_c9,sk_c3)=sk_c8),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f107,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c3)=sk_c8|~spl0_8),
% 0.12/0.36 inference(component_clause,[status(thm)],[f106])).
% 0.12/0.36 fof(f109,plain,(
% 0.12/0.36 spl0_8|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.12/0.36 fof(f110,plain,(
% 0.12/0.36 spl0_8|spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.12/0.36 fof(f111,plain,(
% 0.12/0.36 spl0_8|spl0_3),
% 0.12/0.36 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.12/0.36 fof(f112,plain,(
% 0.12/0.36 spl0_8|spl0_4),
% 0.12/0.36 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.12/0.36 fof(f113,plain,(
% 0.12/0.36 spl0_8|spl0_5),
% 0.12/0.36 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.12/0.36 fof(f114,plain,(
% 0.12/0.36 spl0_8|spl0_6),
% 0.12/0.36 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.12/0.36 fof(f115,plain,(
% 0.12/0.36 spl0_9 <=> multiply(sk_c2,sk_c9)=sk_c3),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f116,plain,(
% 0.12/0.36 multiply(sk_c2,sk_c9)=sk_c3|~spl0_9),
% 0.12/0.36 inference(component_clause,[status(thm)],[f115])).
% 0.12/0.36 fof(f118,plain,(
% 0.12/0.36 spl0_9|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.12/0.36 fof(f119,plain,(
% 0.12/0.36 spl0_9|spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.12/0.36 fof(f120,plain,(
% 0.12/0.36 spl0_9|spl0_3),
% 0.12/0.36 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.12/0.36 fof(f121,plain,(
% 0.12/0.36 spl0_9|spl0_4),
% 0.12/0.36 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.12/0.36 fof(f122,plain,(
% 0.12/0.36 spl0_9|spl0_5),
% 0.12/0.36 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.12/0.36 fof(f123,plain,(
% 0.12/0.36 spl0_9|spl0_6),
% 0.12/0.36 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.12/0.36 fof(f124,plain,(
% 0.12/0.36 spl0_10 <=> inverse(sk_c2)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f125,plain,(
% 0.12/0.36 inverse(sk_c2)=sk_c9|~spl0_10),
% 0.12/0.36 inference(component_clause,[status(thm)],[f124])).
% 0.12/0.36 fof(f127,plain,(
% 0.12/0.36 spl0_10|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.12/0.36 fof(f128,plain,(
% 0.12/0.36 spl0_10|spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.12/0.36 fof(f129,plain,(
% 0.12/0.36 spl0_10|spl0_3),
% 0.12/0.36 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.12/0.36 fof(f130,plain,(
% 0.12/0.36 spl0_10|spl0_4),
% 0.12/0.36 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.12/0.36 fof(f131,plain,(
% 0.12/0.36 spl0_10|spl0_5),
% 0.12/0.36 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.12/0.36 fof(f132,plain,(
% 0.12/0.36 spl0_10|spl0_6),
% 0.12/0.36 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.12/0.36 fof(f133,plain,(
% 0.12/0.36 spl0_11 <=> ~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f134,plain,(
% 0.12/0.36 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~spl0_11)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f133])).
% 0.12/0.36 fof(f136,plain,(
% 0.12/0.36 spl0_12 <=> ~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f137,plain,(
% 0.12/0.36 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~spl0_12)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f136])).
% 0.12/0.36 fof(f139,plain,(
% 0.12/0.36 spl0_13 <=> ~multiply(X3,X4)=sk_c9|~inverse(X3)=X4|~multiply(X4,sk_c8)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f140,plain,(
% 0.12/0.36 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c9|~spl0_13)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f139])).
% 0.12/0.36 fof(f142,plain,(
% 0.12/0.36 spl0_11|spl0_12|spl0_13),
% 0.12/0.36 inference(split_clause,[status(thm)],[f69,f133,f136,f139])).
% 0.12/0.36 fof(f143,plain,(
% 0.12/0.36 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c8)=sk_c9|~spl0_13)),
% 0.12/0.36 inference(destructive_equality_resolution,[status(esa)],[f140])).
% 0.12/0.36 fof(f144,plain,(
% 0.12/0.36 spl0_14 <=> multiply(sk_c4,inverse(sk_c4))=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f146,plain,(
% 0.12/0.36 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|spl0_14),
% 0.12/0.36 inference(component_clause,[status(thm)],[f144])).
% 0.12/0.36 fof(f147,plain,(
% 0.12/0.36 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|~multiply(sk_c5,sk_c8)=sk_c9|~spl0_13|~spl0_2),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f78,f143])).
% 0.12/0.36 fof(f148,plain,(
% 0.12/0.36 ~spl0_14|~spl0_3|~spl0_13|~spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f147,f144,f81,f139,f77])).
% 0.12/0.36 fof(f152,plain,(
% 0.12/0.36 spl0_16 <=> multiply(sk_c9,sk_c8)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f154,plain,(
% 0.12/0.36 ~multiply(sk_c9,sk_c8)=sk_c9|spl0_16),
% 0.12/0.36 inference(component_clause,[status(thm)],[f152])).
% 0.12/0.36 fof(f157,plain,(
% 0.12/0.36 spl0_17 <=> multiply(sk_c1,inverse(sk_c1))=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f159,plain,(
% 0.12/0.36 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|spl0_17),
% 0.12/0.36 inference(component_clause,[status(thm)],[f157])).
% 0.12/0.36 fof(f160,plain,(
% 0.12/0.36 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~spl0_13|~spl0_0),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f71,f143])).
% 0.12/0.36 fof(f161,plain,(
% 0.12/0.36 ~spl0_17|~spl0_16|~spl0_13|~spl0_0),
% 0.12/0.36 inference(split_clause,[status(thm)],[f160,f157,f152,f139,f70])).
% 0.12/0.36 fof(f169,plain,(
% 0.12/0.36 ~multiply(sk_c1,sk_c9)=sk_c9|~spl0_0|spl0_17),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f71,f159])).
% 0.12/0.36 fof(f170,plain,(
% 0.12/0.36 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~spl0_12)),
% 0.12/0.36 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.12/0.36 fof(f171,plain,(
% 0.12/0.36 ~multiply(sk_c9,sk_c7)=sk_c8|~inverse(sk_c6)=sk_c9|~spl0_12|~spl0_5),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f90,f170])).
% 0.12/0.36 fof(f172,plain,(
% 0.12/0.36 ~spl0_4|~spl0_6|~spl0_12|~spl0_5),
% 0.12/0.36 inference(split_clause,[status(thm)],[f171,f85,f93,f136,f89])).
% 0.12/0.36 fof(f173,plain,(
% 0.12/0.36 ~multiply(sk_c9,sk_c3)=sk_c8|~inverse(sk_c2)=sk_c9|~spl0_12|~spl0_9),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f116,f170])).
% 0.12/0.36 fof(f174,plain,(
% 0.12/0.36 ~spl0_8|~spl0_10|~spl0_12|~spl0_9),
% 0.12/0.36 inference(split_clause,[status(thm)],[f173,f106,f124,f136,f115])).
% 0.12/0.36 fof(f182,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~spl0_1)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f74,f37])).
% 0.12/0.36 fof(f207,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c1)=identity|~spl0_0),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.12/0.36 fof(f208,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c2)=identity|~spl0_10),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f125,f36])).
% 0.12/0.36 fof(f220,plain,(
% 0.12/0.36 ![X0]: (multiply(identity,X0)=multiply(sk_c9,multiply(sk_c1,X0))|~spl0_0)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f207,f37])).
% 0.12/0.36 fof(f221,plain,(
% 0.12/0.36 ![X0]: (X0=multiply(sk_c9,multiply(sk_c1,X0))|~spl0_0)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f35,f220])).
% 0.12/0.36 fof(f224,plain,(
% 0.12/0.36 ![X0]: (multiply(identity,X0)=multiply(sk_c9,multiply(sk_c2,X0))|~spl0_10)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f208,f37])).
% 0.12/0.36 fof(f225,plain,(
% 0.12/0.36 ![X0]: (X0=multiply(sk_c9,multiply(sk_c2,X0))|~spl0_10)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f35,f224])).
% 0.12/0.36 fof(f235,plain,(
% 0.12/0.36 sk_c8=multiply(sk_c9,sk_c9)|~spl0_0|~spl0_7),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f98,f221])).
% 0.12/0.36 fof(f247,plain,(
% 0.12/0.36 sk_c9=multiply(sk_c9,sk_c3)|~spl0_10|~spl0_9),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f116,f225])).
% 0.12/0.36 fof(f248,plain,(
% 0.12/0.36 sk_c9=sk_c8|~spl0_8|~spl0_10|~spl0_9),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f107,f247])).
% 0.12/0.36 fof(f273,plain,(
% 0.12/0.36 multiply(sk_c1,sk_c9)=sk_c9|~spl0_8|~spl0_10|~spl0_9|~spl0_7),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f248,f98])).
% 0.12/0.36 fof(f274,plain,(
% 0.12/0.36 $false|~spl0_0|spl0_17|~spl0_8|~spl0_10|~spl0_9|~spl0_7),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f273,f169])).
% 0.12/0.36 fof(f275,plain,(
% 0.12/0.36 ~spl0_0|spl0_17|~spl0_8|~spl0_10|~spl0_9|~spl0_7),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f274])).
% 0.12/0.36 fof(f276,plain,(
% 0.12/0.36 ~multiply(sk_c4,sk_c5)=sk_c9|~spl0_2|spl0_14),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f78,f146])).
% 0.12/0.36 fof(f277,plain,(
% 0.12/0.36 ~sk_c9=sk_c9|~spl0_1|~spl0_2|spl0_14),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f74,f276])).
% 0.12/0.36 fof(f278,plain,(
% 0.12/0.36 $false|~spl0_1|~spl0_2|spl0_14),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f277])).
% 0.12/0.36 fof(f279,plain,(
% 0.12/0.36 ~spl0_1|~spl0_2|spl0_14),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f278])).
% 0.12/0.36 fof(f280,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c3)=sk_c9|~spl0_10|~spl0_9|~spl0_8),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f248,f107])).
% 0.12/0.36 fof(f281,plain,(
% 0.12/0.36 sk_c8=sk_c9|~spl0_10|~spl0_9|~spl0_8),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f107,f280])).
% 0.12/0.36 fof(f305,plain,(
% 0.12/0.36 ~multiply(sk_c9,sk_c9)=sk_c9|~spl0_10|~spl0_9|~spl0_8|spl0_16),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f281,f154])).
% 0.12/0.36 fof(f306,plain,(
% 0.12/0.36 ~sk_c8=sk_c9|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8|spl0_16),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f235,f305])).
% 0.12/0.36 fof(f307,plain,(
% 0.12/0.36 ~sk_c9=sk_c9|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8|spl0_16),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f281,f306])).
% 0.12/0.36 fof(f308,plain,(
% 0.12/0.36 $false|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8|spl0_16),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f307])).
% 0.12/0.36 fof(f309,plain,(
% 0.12/0.36 ~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8|spl0_16),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f308])).
% 0.12/0.36 fof(f335,plain,(
% 0.12/0.36 multiply(sk_c5,sk_c4)=identity|~spl0_2),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.12/0.36 fof(f336,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c6)=identity|~spl0_6),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.12/0.36 fof(f338,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~spl0_3)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.12/0.36 fof(f339,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c9,multiply(sk_c7,X0))|~spl0_4)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f86,f37])).
% 0.12/0.36 fof(f340,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c9,X0))|~spl0_5)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.12/0.36 fof(f346,plain,(
% 0.12/0.36 ~multiply(sk_c1,sk_c8)=sk_c9|~spl0_11|~spl0_0),
% 0.12/0.36 inference(resolution,[status(thm)],[f134,f71])).
% 0.12/0.36 fof(f347,plain,(
% 0.12/0.36 ~sk_c9=sk_c9|~spl0_7|~spl0_11|~spl0_0),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f98,f346])).
% 0.12/0.36 fof(f348,plain,(
% 0.12/0.36 $false|~spl0_7|~spl0_11|~spl0_0),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f347])).
% 0.12/0.36 fof(f349,plain,(
% 0.12/0.36 ~spl0_7|~spl0_11|~spl0_0),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f348])).
% 0.12/0.36 fof(f350,plain,(
% 0.12/0.36 spl0_21 <=> sk_c9=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f352,plain,(
% 0.12/0.36 ~sk_c9=sk_c9|spl0_21),
% 0.12/0.36 inference(component_clause,[status(thm)],[f350])).
% 0.12/0.36 fof(f358,plain,(
% 0.12/0.36 spl0_23 <=> sk_c5=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f360,plain,(
% 0.12/0.36 ~sk_c5=sk_c9|spl0_23),
% 0.12/0.36 inference(component_clause,[status(thm)],[f358])).
% 0.12/0.36 fof(f366,plain,(
% 0.12/0.36 $false|spl0_21),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f352])).
% 0.12/0.36 fof(f367,plain,(
% 0.12/0.36 spl0_21),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f366])).
% 0.12/0.36 fof(f368,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c4)=multiply(sk_c4,identity)|~spl0_1|~spl0_2),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f335,f182])).
% 0.12/0.36 fof(f369,plain,(
% 0.12/0.36 ![X0]: (multiply(identity,X0)=multiply(sk_c5,multiply(sk_c4,X0))|~spl0_2)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f335,f37])).
% 0.12/0.36 fof(f370,plain,(
% 0.12/0.36 ![X0]: (X0=multiply(sk_c5,multiply(sk_c4,X0))|~spl0_2)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f35,f369])).
% 0.12/0.36 fof(f375,plain,(
% 0.12/0.36 ![X0]: (multiply(multiply(sk_c9,sk_c4),X0)=multiply(sk_c4,multiply(identity,X0))|~spl0_1|~spl0_2)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f368,f37])).
% 0.12/0.36 fof(f376,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c9,multiply(sk_c4,X0))=multiply(sk_c4,multiply(identity,X0))|~spl0_1|~spl0_2)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f37,f375])).
% 0.12/0.36 fof(f377,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c9,multiply(sk_c4,X0))=multiply(sk_c4,X0)|~spl0_1|~spl0_2)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f35,f376])).
% 0.12/0.36 fof(f386,plain,(
% 0.12/0.36 multiply(sk_c7,sk_c6)=multiply(sk_c6,identity)|~spl0_5|~spl0_6),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f336,f340])).
% 0.12/0.36 fof(f392,plain,(
% 0.12/0.36 ![X0]: (multiply(multiply(sk_c7,sk_c6),X0)=multiply(sk_c6,multiply(identity,X0))|~spl0_5|~spl0_6)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f386,f37])).
% 0.12/0.36 fof(f393,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c7,multiply(sk_c6,X0))=multiply(sk_c6,multiply(identity,X0))|~spl0_5|~spl0_6)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f37,f392])).
% 0.12/0.36 fof(f394,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c7,multiply(sk_c6,X0))=multiply(sk_c6,X0)|~spl0_5|~spl0_6)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f35,f393])).
% 0.12/0.36 fof(f403,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c9)=multiply(sk_c4,sk_c5)|~spl0_2|~spl0_1),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f74,f377])).
% 0.12/0.36 fof(f404,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c9)=sk_c9|~spl0_2|~spl0_1),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f74,f403])).
% 0.12/0.36 fof(f424,plain,(
% 0.12/0.36 multiply(sk_c7,sk_c7)=multiply(sk_c6,sk_c9)|~spl0_6|~spl0_5),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f90,f394])).
% 0.12/0.36 fof(f425,plain,(
% 0.12/0.36 multiply(sk_c7,sk_c7)=sk_c7|~spl0_6|~spl0_5),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f90,f424])).
% 0.12/0.36 fof(f436,plain,(
% 0.12/0.36 multiply(sk_c8,sk_c7)=multiply(sk_c9,sk_c7)|~spl0_4|~spl0_6|~spl0_5),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f425,f339])).
% 0.12/0.36 fof(f437,plain,(
% 0.12/0.36 multiply(sk_c8,sk_c7)=sk_c8|~spl0_4|~spl0_6|~spl0_5),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f86,f436])).
% 0.12/0.36 fof(f439,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c7)=multiply(sk_c5,sk_c8)|~spl0_3|~spl0_4|~spl0_6|~spl0_5),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f437,f338])).
% 0.12/0.36 fof(f440,plain,(
% 0.12/0.36 sk_c8=multiply(sk_c5,sk_c8)|~spl0_3|~spl0_4|~spl0_6|~spl0_5),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f86,f439])).
% 0.12/0.36 fof(f441,plain,(
% 0.12/0.36 sk_c8=sk_c9|~spl0_3|~spl0_4|~spl0_6|~spl0_5),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f82,f440])).
% 0.12/0.36 fof(f452,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c5,multiply(sk_c9,X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_3)),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f441,f338])).
% 0.12/0.36 fof(f458,plain,(
% 0.12/0.36 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c9)=sk_c9|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_11)),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f441,f134])).
% 0.12/0.36 fof(f461,plain,(
% 0.12/0.36 multiply(sk_c5,sk_c9)=sk_c9|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f441,f82])).
% 0.12/0.36 fof(f469,plain,(
% 0.12/0.36 multiply(sk_c9,sk_c9)=multiply(sk_c4,sk_c9)|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f461,f182])).
% 0.12/0.36 fof(f470,plain,(
% 0.12/0.36 sk_c9=multiply(sk_c4,sk_c9)|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f404,f469])).
% 0.12/0.36 fof(f482,plain,(
% 0.12/0.36 spl0_26 <=> multiply(sk_c4,sk_c9)=sk_c9),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f484,plain,(
% 0.12/0.36 ~multiply(sk_c4,sk_c9)=sk_c9|spl0_26),
% 0.12/0.36 inference(component_clause,[status(thm)],[f482])).
% 0.12/0.36 fof(f485,plain,(
% 0.12/0.36 ~sk_c5=sk_c9|~multiply(sk_c4,sk_c9)=sk_c9|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_11|~spl0_2),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f78,f458])).
% 0.12/0.36 fof(f486,plain,(
% 0.12/0.36 ~spl0_23|~spl0_26|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_11|~spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f485,f358,f482,f81,f85,f93,f89,f133,f77])).
% 0.12/0.36 fof(f487,plain,(
% 0.12/0.36 ~sk_c9=sk_c9|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3|spl0_26),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f470,f484])).
% 0.12/0.36 fof(f488,plain,(
% 0.12/0.36 $false|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3|spl0_26),
% 0.12/0.36 inference(trivial_equality_resolution,[status(esa)],[f487])).
% 0.12/0.36 fof(f489,plain,(
% 0.12/0.36 ~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3|spl0_26),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f488])).
% 0.12/0.36 fof(f527,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c9,multiply(sk_c4,X0))=multiply(sk_c5,multiply(sk_c4,X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_1|~spl0_2)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f377,f452])).
% 0.12/0.36 fof(f528,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c4,X0)=multiply(sk_c5,multiply(sk_c4,X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_1|~spl0_2)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f377,f527])).
% 0.12/0.36 fof(f529,plain,(
% 0.12/0.36 ![X0]: (multiply(sk_c4,X0)=X0|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_1|~spl0_2)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f370,f528])).
% 0.12/0.36 fof(f539,plain,(
% 0.12/0.36 sk_c5=sk_c9|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f529,f74])).
% 0.12/0.36 fof(f540,plain,(
% 0.12/0.36 $false|spl0_23|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f539,f360])).
% 0.12/0.36 fof(f541,plain,(
% 0.12/0.36 spl0_23|~spl0_4|~spl0_6|~spl0_5|~spl0_3|~spl0_2|~spl0_1),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f540])).
% 0.12/0.36 fof(f542,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 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,f142,f148,f161,f172,f174,f275,f279,f309,f349,f367,f486,f489,f541])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.37 % Elapsed time: 0.031683 seconds
% 0.12/0.37 % CPU time: 0.094476 seconds
% 0.12/0.37 % Memory used: 17.557 MB
%------------------------------------------------------------------------------