TSTP Solution File: GRP336-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP336-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:11:22 EDT 2023
% Result : Unsatisfiable 0.15s 0.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GRP336-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n016.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 11:55:59 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.5.1
% 0.15/0.48 % Refutation found
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.48 fof(f1,axiom,(
% 0.15/0.48 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f2,axiom,(
% 0.15/0.48 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f3,axiom,(
% 0.15/0.48 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f4,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c9,sk_c10) = sk_c8| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f5,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c9,sk_c10) = sk_c8| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f6,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c9,sk_c10) = sk_c8| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f7,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c9,sk_c10) = sk_c8| inverse(sk_c5) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f8,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c9,sk_c10) = sk_c8| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f12,negated_conjecture,(
% 0.15/0.48 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f13,negated_conjecture,(
% 0.15/0.48 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f14,negated_conjecture,(
% 0.15/0.48 ( inverse(sk_c1) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f15,negated_conjecture,(
% 0.15/0.48 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f16,negated_conjecture,(
% 0.15/0.48 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f20,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f21,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f22,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f23,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f24,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f28,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c2,sk_c3) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f29,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c2,sk_c3) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f30,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c2,sk_c3) = sk_c9| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f36,negated_conjecture,(
% 0.15/0.48 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f37,negated_conjecture,(
% 0.15/0.48 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f38,negated_conjecture,(
% 0.15/0.48 ( inverse(sk_c2) = sk_c3| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f44,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c3,sk_c10) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f45,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c3,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f46,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c3,sk_c10) = sk_c9| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f47,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c3,sk_c10) = sk_c9| inverse(sk_c5) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f48,negated_conjecture,(
% 0.15/0.48 ( multiply(sk_c3,sk_c10) = sk_c9| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f52,negated_conjecture,(
% 0.15/0.48 (![X4,X5,X6,X1,X2,X7,X3]: (( multiply(sk_c9,sk_c10) != sk_c8| inverse(X4) != sk_c10| multiply(X4,sk_c9) != sk_c10| multiply(X5,X6) != sk_c9| inverse(X5) != X6| multiply(X6,sk_c10) != sk_c9| multiply(X1,sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(sk_c10,sk_c8) != sk_c9| inverse(X2) != sk_c10| multiply(X2,sk_c9) != sk_c10| multiply(X7,X3) != sk_c9| inverse(X7) != X3| multiply(X3,sk_c8) != sk_c9 ) ))),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f53,plain,(
% 0.15/0.48 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.48 fof(f54,plain,(
% 0.15/0.48 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.48 fof(f55,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.48 fof(f56,plain,(
% 0.15/0.48 multiply(sk_c9,sk_c10)=sk_c8|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.48 fof(f57,plain,(
% 0.15/0.48 multiply(sk_c9,sk_c10)=sk_c8|inverse(sk_c4)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.48 fof(f58,plain,(
% 0.15/0.48 multiply(sk_c9,sk_c10)=sk_c8|multiply(sk_c10,sk_c8)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.48 fof(f59,plain,(
% 0.15/0.48 multiply(sk_c9,sk_c10)=sk_c8|inverse(sk_c5)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.48 fof(f60,plain,(
% 0.15/0.48 multiply(sk_c9,sk_c10)=sk_c8|multiply(sk_c5,sk_c9)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.48 fof(f64,plain,(
% 0.15/0.48 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.48 fof(f65,plain,(
% 0.15/0.48 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.48 fof(f66,plain,(
% 0.15/0.48 inverse(sk_c1)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.48 fof(f67,plain,(
% 0.15/0.48 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.48 fof(f68,plain,(
% 0.15/0.48 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c9)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.48 fof(f72,plain,(
% 0.15/0.48 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f20])).
% 0.15/0.48 fof(f73,plain,(
% 0.15/0.48 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f21])).
% 0.15/0.48 fof(f74,plain,(
% 0.15/0.48 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.48 fof(f75,plain,(
% 0.15/0.48 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f23])).
% 0.15/0.48 fof(f76,plain,(
% 0.15/0.48 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c5,sk_c9)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.48 fof(f80,plain,(
% 0.15/0.48 multiply(sk_c2,sk_c3)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.48 fof(f81,plain,(
% 0.15/0.48 multiply(sk_c2,sk_c3)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f29])).
% 0.15/0.48 fof(f82,plain,(
% 0.15/0.48 multiply(sk_c2,sk_c3)=sk_c9|multiply(sk_c10,sk_c8)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f30])).
% 0.15/0.48 fof(f88,plain,(
% 0.15/0.48 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f36])).
% 0.15/0.48 fof(f89,plain,(
% 0.15/0.48 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f37])).
% 0.15/0.48 fof(f90,plain,(
% 0.15/0.48 inverse(sk_c2)=sk_c3|multiply(sk_c10,sk_c8)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f38])).
% 0.15/0.48 fof(f96,plain,(
% 0.15/0.48 multiply(sk_c3,sk_c10)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f44])).
% 0.15/0.48 fof(f97,plain,(
% 0.15/0.48 multiply(sk_c3,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f45])).
% 0.15/0.48 fof(f98,plain,(
% 0.15/0.48 multiply(sk_c3,sk_c10)=sk_c9|multiply(sk_c10,sk_c8)=sk_c9),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f46])).
% 0.15/0.48 fof(f99,plain,(
% 0.15/0.48 multiply(sk_c3,sk_c10)=sk_c9|inverse(sk_c5)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f47])).
% 0.15/0.48 fof(f100,plain,(
% 0.15/0.48 multiply(sk_c3,sk_c10)=sk_c9|multiply(sk_c5,sk_c9)=sk_c10),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f48])).
% 0.15/0.48 fof(f104,plain,(
% 0.15/0.48 ![X3]: ((![X7]: (((![X2]: ((((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~multiply(sk_c9,sk_c10)=sk_c8|~inverse(X4)=sk_c10)|~multiply(X4,sk_c9)=sk_c10))|~multiply(X5,X6)=sk_c9)|~inverse(X5)=X6))|~multiply(X6,sk_c10)=sk_c9))|~multiply(X1,sk_c10)=sk_c9)|~inverse(X1)=sk_c10))|~multiply(sk_c10,sk_c8)=sk_c9)|~inverse(X2)=sk_c10)|~multiply(X2,sk_c9)=sk_c10))|~multiply(X7,X3)=sk_c9)|~inverse(X7)=X3))|~multiply(X3,sk_c8)=sk_c9)),
% 0.15/0.48 inference(miniscoping,[status(esa)],[f52])).
% 0.15/0.48 fof(f105,plain,(
% 0.15/0.48 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(sk_c9,sk_c10)=sk_c8|~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~multiply(X1,X2)=sk_c9|~inverse(X1)=X2|~multiply(X2,sk_c10)=sk_c9|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(sk_c10,sk_c8)=sk_c9|~inverse(X4)=sk_c10|~multiply(X4,sk_c9)=sk_c10|~multiply(X5,X6)=sk_c9|~inverse(X5)=X6|~multiply(X6,sk_c8)=sk_c9)),
% 0.15/0.48 inference(cnf_transformation,[status(esa)],[f104])).
% 0.15/0.48 fof(f106,plain,(
% 0.15/0.48 spl0_0 <=> multiply(sk_c9,sk_c10)=sk_c8),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f107,plain,(
% 0.15/0.48 multiply(sk_c9,sk_c10)=sk_c8|~spl0_0),
% 0.15/0.48 inference(component_clause,[status(thm)],[f106])).
% 0.15/0.48 fof(f108,plain,(
% 0.15/0.48 ~multiply(sk_c9,sk_c10)=sk_c8|spl0_0),
% 0.15/0.48 inference(component_clause,[status(thm)],[f106])).
% 0.15/0.48 fof(f109,plain,(
% 0.15/0.48 spl0_1 <=> multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f110,plain,(
% 0.15/0.48 multiply(sk_c4,sk_c10)=sk_c9|~spl0_1),
% 0.15/0.48 inference(component_clause,[status(thm)],[f109])).
% 0.15/0.48 fof(f112,plain,(
% 0.15/0.48 spl0_0|spl0_1),
% 0.15/0.48 inference(split_clause,[status(thm)],[f56,f106,f109])).
% 0.15/0.48 fof(f113,plain,(
% 0.15/0.48 spl0_2 <=> inverse(sk_c4)=sk_c10),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f114,plain,(
% 0.15/0.48 inverse(sk_c4)=sk_c10|~spl0_2),
% 0.15/0.48 inference(component_clause,[status(thm)],[f113])).
% 0.15/0.48 fof(f116,plain,(
% 0.15/0.48 spl0_0|spl0_2),
% 0.15/0.48 inference(split_clause,[status(thm)],[f57,f106,f113])).
% 0.15/0.48 fof(f117,plain,(
% 0.15/0.48 spl0_3 <=> multiply(sk_c10,sk_c8)=sk_c9),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f118,plain,(
% 0.15/0.48 multiply(sk_c10,sk_c8)=sk_c9|~spl0_3),
% 0.15/0.48 inference(component_clause,[status(thm)],[f117])).
% 0.15/0.48 fof(f119,plain,(
% 0.15/0.48 ~multiply(sk_c10,sk_c8)=sk_c9|spl0_3),
% 0.15/0.48 inference(component_clause,[status(thm)],[f117])).
% 0.15/0.48 fof(f120,plain,(
% 0.15/0.48 spl0_0|spl0_3),
% 0.15/0.48 inference(split_clause,[status(thm)],[f58,f106,f117])).
% 0.15/0.48 fof(f121,plain,(
% 0.15/0.48 spl0_4 <=> inverse(sk_c5)=sk_c10),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f122,plain,(
% 0.15/0.48 inverse(sk_c5)=sk_c10|~spl0_4),
% 0.15/0.48 inference(component_clause,[status(thm)],[f121])).
% 0.15/0.48 fof(f124,plain,(
% 0.15/0.48 spl0_0|spl0_4),
% 0.15/0.48 inference(split_clause,[status(thm)],[f59,f106,f121])).
% 0.15/0.48 fof(f125,plain,(
% 0.15/0.48 spl0_5 <=> multiply(sk_c5,sk_c9)=sk_c10),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f126,plain,(
% 0.15/0.48 multiply(sk_c5,sk_c9)=sk_c10|~spl0_5),
% 0.15/0.48 inference(component_clause,[status(thm)],[f125])).
% 0.15/0.48 fof(f128,plain,(
% 0.15/0.48 spl0_0|spl0_5),
% 0.15/0.48 inference(split_clause,[status(thm)],[f60,f106,f125])).
% 0.15/0.48 fof(f141,plain,(
% 0.15/0.48 spl0_9 <=> inverse(sk_c1)=sk_c10),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f142,plain,(
% 0.15/0.48 inverse(sk_c1)=sk_c10|~spl0_9),
% 0.15/0.48 inference(component_clause,[status(thm)],[f141])).
% 0.15/0.48 fof(f144,plain,(
% 0.15/0.48 spl0_9|spl0_1),
% 0.15/0.48 inference(split_clause,[status(thm)],[f64,f141,f109])).
% 0.15/0.48 fof(f145,plain,(
% 0.15/0.48 spl0_9|spl0_2),
% 0.15/0.48 inference(split_clause,[status(thm)],[f65,f141,f113])).
% 0.15/0.48 fof(f146,plain,(
% 0.15/0.48 spl0_9|spl0_3),
% 0.15/0.48 inference(split_clause,[status(thm)],[f66,f141,f117])).
% 0.15/0.48 fof(f147,plain,(
% 0.15/0.48 spl0_9|spl0_4),
% 0.15/0.48 inference(split_clause,[status(thm)],[f67,f141,f121])).
% 0.15/0.48 fof(f148,plain,(
% 0.15/0.48 spl0_9|spl0_5),
% 0.15/0.48 inference(split_clause,[status(thm)],[f68,f141,f125])).
% 0.15/0.48 fof(f152,plain,(
% 0.15/0.48 spl0_10 <=> multiply(sk_c1,sk_c9)=sk_c10),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f153,plain,(
% 0.15/0.48 multiply(sk_c1,sk_c9)=sk_c10|~spl0_10),
% 0.15/0.48 inference(component_clause,[status(thm)],[f152])).
% 0.15/0.48 fof(f155,plain,(
% 0.15/0.48 spl0_10|spl0_1),
% 0.15/0.48 inference(split_clause,[status(thm)],[f72,f152,f109])).
% 0.15/0.48 fof(f156,plain,(
% 0.15/0.48 spl0_10|spl0_2),
% 0.15/0.48 inference(split_clause,[status(thm)],[f73,f152,f113])).
% 0.15/0.48 fof(f157,plain,(
% 0.15/0.48 spl0_10|spl0_3),
% 0.15/0.48 inference(split_clause,[status(thm)],[f74,f152,f117])).
% 0.15/0.48 fof(f158,plain,(
% 0.15/0.48 spl0_10|spl0_4),
% 0.15/0.48 inference(split_clause,[status(thm)],[f75,f152,f121])).
% 0.15/0.48 fof(f159,plain,(
% 0.15/0.48 spl0_10|spl0_5),
% 0.15/0.48 inference(split_clause,[status(thm)],[f76,f152,f125])).
% 0.15/0.48 fof(f163,plain,(
% 0.15/0.48 spl0_11 <=> multiply(sk_c2,sk_c3)=sk_c9),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f164,plain,(
% 0.15/0.48 multiply(sk_c2,sk_c3)=sk_c9|~spl0_11),
% 0.15/0.48 inference(component_clause,[status(thm)],[f163])).
% 0.15/0.48 fof(f166,plain,(
% 0.15/0.48 spl0_11|spl0_1),
% 0.15/0.48 inference(split_clause,[status(thm)],[f80,f163,f109])).
% 0.15/0.48 fof(f167,plain,(
% 0.15/0.48 spl0_11|spl0_2),
% 0.15/0.48 inference(split_clause,[status(thm)],[f81,f163,f113])).
% 0.15/0.48 fof(f168,plain,(
% 0.15/0.48 spl0_11|spl0_3),
% 0.15/0.48 inference(split_clause,[status(thm)],[f82,f163,f117])).
% 0.15/0.48 fof(f174,plain,(
% 0.15/0.48 spl0_12 <=> inverse(sk_c2)=sk_c3),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f175,plain,(
% 0.15/0.48 inverse(sk_c2)=sk_c3|~spl0_12),
% 0.15/0.48 inference(component_clause,[status(thm)],[f174])).
% 0.15/0.48 fof(f177,plain,(
% 0.15/0.48 spl0_12|spl0_1),
% 0.15/0.48 inference(split_clause,[status(thm)],[f88,f174,f109])).
% 0.15/0.48 fof(f178,plain,(
% 0.15/0.48 spl0_12|spl0_2),
% 0.15/0.48 inference(split_clause,[status(thm)],[f89,f174,f113])).
% 0.15/0.48 fof(f179,plain,(
% 0.15/0.48 spl0_12|spl0_3),
% 0.15/0.48 inference(split_clause,[status(thm)],[f90,f174,f117])).
% 0.15/0.48 fof(f185,plain,(
% 0.15/0.48 spl0_13 <=> multiply(sk_c3,sk_c10)=sk_c9),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f186,plain,(
% 0.15/0.48 multiply(sk_c3,sk_c10)=sk_c9|~spl0_13),
% 0.15/0.48 inference(component_clause,[status(thm)],[f185])).
% 0.15/0.48 fof(f188,plain,(
% 0.15/0.48 spl0_13|spl0_1),
% 0.15/0.48 inference(split_clause,[status(thm)],[f96,f185,f109])).
% 0.15/0.48 fof(f189,plain,(
% 0.15/0.48 spl0_13|spl0_2),
% 0.15/0.48 inference(split_clause,[status(thm)],[f97,f185,f113])).
% 0.15/0.48 fof(f190,plain,(
% 0.15/0.48 spl0_13|spl0_3),
% 0.15/0.48 inference(split_clause,[status(thm)],[f98,f185,f117])).
% 0.15/0.48 fof(f191,plain,(
% 0.15/0.48 spl0_13|spl0_4),
% 0.15/0.48 inference(split_clause,[status(thm)],[f99,f185,f121])).
% 0.15/0.48 fof(f192,plain,(
% 0.15/0.48 spl0_13|spl0_5),
% 0.15/0.48 inference(split_clause,[status(thm)],[f100,f185,f125])).
% 0.15/0.48 fof(f196,plain,(
% 0.15/0.48 spl0_14 <=> ~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f197,plain,(
% 0.15/0.48 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~spl0_14)),
% 0.15/0.48 inference(component_clause,[status(thm)],[f196])).
% 0.15/0.48 fof(f199,plain,(
% 0.15/0.48 spl0_15 <=> ~multiply(X1,X2)=sk_c9|~inverse(X1)=X2|~multiply(X2,sk_c10)=sk_c9),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f200,plain,(
% 0.15/0.48 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c9|~spl0_15)),
% 0.15/0.48 inference(component_clause,[status(thm)],[f199])).
% 0.15/0.48 fof(f202,plain,(
% 0.15/0.48 spl0_16 <=> ~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f203,plain,(
% 0.15/0.48 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_16)),
% 0.15/0.48 inference(component_clause,[status(thm)],[f202])).
% 0.15/0.48 fof(f205,plain,(
% 0.15/0.48 spl0_17 <=> ~multiply(X5,X6)=sk_c9|~inverse(X5)=X6|~multiply(X6,sk_c8)=sk_c9),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f206,plain,(
% 0.15/0.48 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c9|~spl0_17)),
% 0.15/0.48 inference(component_clause,[status(thm)],[f205])).
% 0.15/0.48 fof(f208,plain,(
% 0.15/0.48 ~spl0_0|spl0_14|spl0_15|spl0_16|~spl0_3|spl0_17),
% 0.15/0.48 inference(split_clause,[status(thm)],[f105,f106,f196,f199,f202,f117,f205])).
% 0.15/0.48 fof(f209,plain,(
% 0.15/0.48 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c8)=sk_c9|~spl0_17)),
% 0.15/0.48 inference(destructive_equality_resolution,[status(esa)],[f206])).
% 0.15/0.48 fof(f210,plain,(
% 0.15/0.48 spl0_18 <=> multiply(sk_c4,inverse(sk_c4))=sk_c9),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f211,plain,(
% 0.15/0.48 multiply(sk_c4,inverse(sk_c4))=sk_c9|~spl0_18),
% 0.15/0.48 inference(component_clause,[status(thm)],[f210])).
% 0.15/0.48 fof(f212,plain,(
% 0.15/0.48 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|spl0_18),
% 0.15/0.48 inference(component_clause,[status(thm)],[f210])).
% 0.15/0.48 fof(f213,plain,(
% 0.15/0.48 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|~multiply(sk_c10,sk_c8)=sk_c9|~spl0_17|~spl0_2),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f114,f209])).
% 0.15/0.48 fof(f214,plain,(
% 0.15/0.48 ~spl0_18|~spl0_3|~spl0_17|~spl0_2),
% 0.15/0.48 inference(split_clause,[status(thm)],[f213,f210,f117,f205,f113])).
% 0.15/0.48 fof(f230,plain,(
% 0.15/0.48 spl0_22 <=> multiply(sk_c2,inverse(sk_c2))=sk_c9),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f231,plain,(
% 0.15/0.48 multiply(sk_c2,inverse(sk_c2))=sk_c9|~spl0_22),
% 0.15/0.48 inference(component_clause,[status(thm)],[f230])).
% 0.15/0.48 fof(f232,plain,(
% 0.15/0.48 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|spl0_22),
% 0.15/0.48 inference(component_clause,[status(thm)],[f230])).
% 0.15/0.48 fof(f233,plain,(
% 0.15/0.48 spl0_23 <=> multiply(sk_c3,sk_c8)=sk_c9),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f235,plain,(
% 0.15/0.48 ~multiply(sk_c3,sk_c8)=sk_c9|spl0_23),
% 0.15/0.48 inference(component_clause,[status(thm)],[f233])).
% 0.15/0.48 fof(f236,plain,(
% 0.15/0.48 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|~multiply(sk_c3,sk_c8)=sk_c9|~spl0_17|~spl0_12),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f175,f209])).
% 0.15/0.48 fof(f237,plain,(
% 0.15/0.48 ~spl0_22|~spl0_23|~spl0_17|~spl0_12),
% 0.15/0.48 inference(split_clause,[status(thm)],[f236,f230,f233,f205,f174])).
% 0.15/0.48 fof(f238,plain,(
% 0.15/0.48 ~multiply(sk_c2,sk_c3)=sk_c9|~spl0_12|spl0_22),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f175,f232])).
% 0.15/0.48 fof(f239,plain,(
% 0.15/0.48 ~sk_c9=sk_c9|~spl0_11|~spl0_12|spl0_22),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f164,f238])).
% 0.15/0.48 fof(f240,plain,(
% 0.15/0.48 $false|~spl0_11|~spl0_12|spl0_22),
% 0.15/0.48 inference(trivial_equality_resolution,[status(esa)],[f239])).
% 0.15/0.48 fof(f241,plain,(
% 0.15/0.48 ~spl0_11|~spl0_12|spl0_22),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f240])).
% 0.15/0.48 fof(f242,plain,(
% 0.15/0.48 ~inverse(sk_c4)=sk_c10|~spl0_16|~spl0_1),
% 0.15/0.48 inference(resolution,[status(thm)],[f203,f110])).
% 0.15/0.48 fof(f243,plain,(
% 0.15/0.48 ~sk_c10=sk_c10|~spl0_2|~spl0_16|~spl0_1),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f114,f242])).
% 0.15/0.48 fof(f244,plain,(
% 0.15/0.48 $false|~spl0_2|~spl0_16|~spl0_1),
% 0.15/0.48 inference(trivial_equality_resolution,[status(esa)],[f243])).
% 0.15/0.48 fof(f245,plain,(
% 0.15/0.48 ~spl0_2|~spl0_16|~spl0_1),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f244])).
% 0.15/0.48 fof(f246,plain,(
% 0.15/0.48 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c10)=sk_c9|~spl0_15)),
% 0.15/0.48 inference(destructive_equality_resolution,[status(esa)],[f200])).
% 0.15/0.48 fof(f253,plain,(
% 0.15/0.48 ~multiply(sk_c4,sk_c10)=sk_c9|~spl0_2|spl0_18),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f114,f212])).
% 0.15/0.48 fof(f254,plain,(
% 0.15/0.48 ~sk_c9=sk_c9|~spl0_1|~spl0_2|spl0_18),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f110,f253])).
% 0.15/0.48 fof(f255,plain,(
% 0.15/0.48 $false|~spl0_1|~spl0_2|spl0_18),
% 0.15/0.48 inference(trivial_equality_resolution,[status(esa)],[f254])).
% 0.15/0.48 fof(f256,plain,(
% 0.15/0.48 ~spl0_1|~spl0_2|spl0_18),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f255])).
% 0.15/0.48 fof(f257,plain,(
% 0.15/0.48 multiply(sk_c4,sk_c10)=sk_c9|~spl0_2|~spl0_18),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f114,f211])).
% 0.15/0.48 fof(f263,plain,(
% 0.15/0.48 spl0_25 <=> multiply(sk_c10,sk_c10)=sk_c9),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f265,plain,(
% 0.15/0.48 ~multiply(sk_c10,sk_c10)=sk_c9|spl0_25),
% 0.15/0.48 inference(component_clause,[status(thm)],[f263])).
% 0.15/0.48 fof(f268,plain,(
% 0.15/0.48 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|~multiply(sk_c10,sk_c10)=sk_c9|~spl0_15|~spl0_2),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f114,f246])).
% 0.15/0.48 fof(f269,plain,(
% 0.15/0.48 ~spl0_18|~spl0_25|~spl0_15|~spl0_2),
% 0.15/0.48 inference(split_clause,[status(thm)],[f268,f210,f263,f199,f113])).
% 0.15/0.48 fof(f270,plain,(
% 0.15/0.48 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|~multiply(sk_c3,sk_c10)=sk_c9|~spl0_15|~spl0_12),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f175,f246])).
% 0.15/0.48 fof(f271,plain,(
% 0.15/0.48 ~spl0_22|~spl0_13|~spl0_15|~spl0_12),
% 0.15/0.48 inference(split_clause,[status(thm)],[f270,f230,f185,f199,f174])).
% 0.15/0.48 fof(f272,plain,(
% 0.15/0.48 multiply(sk_c2,sk_c3)=sk_c9|~spl0_12|~spl0_22),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f175,f231])).
% 0.15/0.48 fof(f275,plain,(
% 0.15/0.48 ~inverse(sk_c1)=sk_c10|~spl0_14|~spl0_10),
% 0.15/0.48 inference(resolution,[status(thm)],[f197,f153])).
% 0.15/0.48 fof(f276,plain,(
% 0.15/0.48 ~sk_c10=sk_c10|~spl0_9|~spl0_14|~spl0_10),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f142,f275])).
% 0.15/0.48 fof(f277,plain,(
% 0.15/0.48 $false|~spl0_9|~spl0_14|~spl0_10),
% 0.15/0.48 inference(trivial_equality_resolution,[status(esa)],[f276])).
% 0.15/0.48 fof(f278,plain,(
% 0.15/0.48 ~spl0_9|~spl0_14|~spl0_10),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f277])).
% 0.15/0.48 fof(f279,plain,(
% 0.15/0.48 spl0_26 <=> sk_c10=sk_c10),
% 0.15/0.48 introduced(split_symbol_definition)).
% 0.15/0.48 fof(f281,plain,(
% 0.15/0.48 ~sk_c10=sk_c10|spl0_26),
% 0.15/0.48 inference(component_clause,[status(thm)],[f279])).
% 0.15/0.48 fof(f282,plain,(
% 0.15/0.48 ~inverse(sk_c5)=sk_c10|~sk_c10=sk_c10|~spl0_14|~spl0_5),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f126,f197])).
% 0.15/0.48 fof(f283,plain,(
% 0.15/0.48 ~spl0_4|~spl0_26|~spl0_14|~spl0_5),
% 0.15/0.48 inference(split_clause,[status(thm)],[f282,f121,f279,f196,f125])).
% 0.15/0.48 fof(f284,plain,(
% 0.15/0.48 $false|spl0_26),
% 0.15/0.48 inference(trivial_equality_resolution,[status(esa)],[f281])).
% 0.15/0.48 fof(f285,plain,(
% 0.15/0.48 spl0_26),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f284])).
% 0.15/0.48 fof(f289,plain,(
% 0.15/0.48 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c1,multiply(sk_c9,X0))|~spl0_10)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f153,f55])).
% 0.15/0.48 fof(f291,plain,(
% 0.15/0.48 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c2,multiply(sk_c3,X0))|~spl0_12|~spl0_22)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f272,f55])).
% 0.15/0.48 fof(f293,plain,(
% 0.15/0.48 multiply(sk_c10,sk_c10)=multiply(sk_c1,sk_c8)|~spl0_10|~spl0_0),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f107,f289])).
% 0.15/0.48 fof(f303,plain,(
% 0.15/0.48 multiply(sk_c9,sk_c10)=multiply(sk_c2,sk_c9)|~spl0_12|~spl0_22|~spl0_13),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f186,f291])).
% 0.15/0.48 fof(f304,plain,(
% 0.15/0.48 sk_c8=multiply(sk_c2,sk_c9)|~spl0_0|~spl0_12|~spl0_22|~spl0_13),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f107,f303])).
% 0.15/0.48 fof(f332,plain,(
% 0.15/0.48 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f54,f55])).
% 0.15/0.48 fof(f333,plain,(
% 0.15/0.48 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f53,f332])).
% 0.15/0.48 fof(f346,plain,(
% 0.15/0.48 sk_c9=multiply(inverse(sk_c1),sk_c10)|~spl0_10),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f153,f333])).
% 0.15/0.48 fof(f347,plain,(
% 0.15/0.48 sk_c9=multiply(sk_c10,sk_c10)|~spl0_9|~spl0_10),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f142,f346])).
% 0.15/0.48 fof(f348,plain,(
% 0.15/0.48 $false|spl0_25|~spl0_9|~spl0_10),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f347,f265])).
% 0.15/0.48 fof(f349,plain,(
% 0.15/0.48 spl0_25|~spl0_9|~spl0_10),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f348])).
% 0.15/0.48 fof(f354,plain,(
% 0.15/0.48 sk_c9=multiply(inverse(sk_c2),sk_c8)|~spl0_0|~spl0_12|~spl0_22|~spl0_13),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f304,f333])).
% 0.15/0.48 fof(f355,plain,(
% 0.15/0.48 sk_c9=multiply(sk_c3,sk_c8)|~spl0_0|~spl0_12|~spl0_22|~spl0_13),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f175,f354])).
% 0.15/0.48 fof(f356,plain,(
% 0.15/0.48 $false|spl0_23|~spl0_0|~spl0_12|~spl0_22|~spl0_13),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f355,f235])).
% 0.15/0.48 fof(f357,plain,(
% 0.15/0.48 spl0_23|~spl0_0|~spl0_12|~spl0_22|~spl0_13),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f356])).
% 0.15/0.48 fof(f363,plain,(
% 0.15/0.48 sk_c10=multiply(inverse(sk_c3),sk_c9)|~spl0_13),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f186,f333])).
% 0.15/0.48 fof(f367,plain,(
% 0.15/0.48 ![X0]: (X0=multiply(sk_c10,multiply(sk_c5,X0))|~spl0_4)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f122,f333])).
% 0.15/0.48 fof(f382,plain,(
% 0.15/0.48 sk_c10=multiply(inverse(sk_c4),sk_c9)|~spl0_2|~spl0_18),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f257,f333])).
% 0.15/0.48 fof(f383,plain,(
% 0.15/0.48 sk_c10=multiply(sk_c10,sk_c9)|~spl0_2|~spl0_18),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f114,f382])).
% 0.15/0.48 fof(f388,plain,(
% 0.15/0.48 sk_c9=multiply(inverse(sk_c5),sk_c10)|~spl0_5),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f126,f333])).
% 0.15/0.48 fof(f389,plain,(
% 0.15/0.48 sk_c9=multiply(sk_c10,sk_c10)|~spl0_4|~spl0_5),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f122,f388])).
% 0.15/0.48 fof(f395,plain,(
% 0.15/0.48 sk_c8=multiply(inverse(sk_c10),sk_c9)|~spl0_3),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f118,f333])).
% 0.15/0.48 fof(f396,plain,(
% 0.15/0.48 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c10,multiply(sk_c8,X0))|~spl0_3)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f118,f55])).
% 0.15/0.48 fof(f410,plain,(
% 0.15/0.48 sk_c10=multiply(inverse(sk_c10),sk_c9)|~spl0_4|~spl0_5),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f389,f333])).
% 0.15/0.48 fof(f426,plain,(
% 0.15/0.48 sk_c9=multiply(sk_c10,sk_c10)|~spl0_4|~spl0_5),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f126,f367])).
% 0.15/0.49 fof(f427,plain,(
% 0.15/0.49 spl0_25|~spl0_4|~spl0_5),
% 0.15/0.49 inference(split_clause,[status(thm)],[f426,f263,f121,f125])).
% 0.15/0.49 fof(f445,plain,(
% 0.15/0.49 sk_c10=sk_c8|~spl0_3|~spl0_4|~spl0_5),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f395,f410])).
% 0.15/0.49 fof(f486,plain,(
% 0.15/0.49 ~multiply(sk_c9,sk_c10)=sk_c10|~spl0_3|~spl0_4|~spl0_5|spl0_0),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f445,f108])).
% 0.15/0.49 fof(f522,plain,(
% 0.15/0.49 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c10,multiply(sk_c10,X0))|~spl0_4|~spl0_5|~spl0_3)),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f445,f396])).
% 0.15/0.49 fof(f529,plain,(
% 0.15/0.49 multiply(sk_c9,sk_c10)=multiply(sk_c10,sk_c9)|~spl0_3|~spl0_4|~spl0_5),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f389,f522])).
% 0.15/0.49 fof(f530,plain,(
% 0.15/0.49 multiply(sk_c9,sk_c10)=sk_c10|~spl0_2|~spl0_18|~spl0_3|~spl0_4|~spl0_5),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f383,f529])).
% 0.15/0.49 fof(f531,plain,(
% 0.15/0.49 $false|spl0_0|~spl0_2|~spl0_18|~spl0_3|~spl0_4|~spl0_5),
% 0.15/0.49 inference(forward_subsumption_resolution,[status(thm)],[f530,f486])).
% 0.15/0.49 fof(f532,plain,(
% 0.15/0.49 spl0_0|~spl0_2|~spl0_18|~spl0_3|~spl0_4|~spl0_5),
% 0.15/0.49 inference(contradiction_clause,[status(thm)],[f531])).
% 0.15/0.49 fof(f544,plain,(
% 0.15/0.49 sk_c8=multiply(inverse(sk_c3),sk_c9)|~spl0_0|~spl0_12|~spl0_22|~spl0_13),
% 0.15/0.49 inference(paramodulation,[status(thm)],[f355,f333])).
% 0.15/0.49 fof(f574,plain,(
% 0.15/0.49 sk_c8=sk_c10|~spl0_0|~spl0_12|~spl0_22|~spl0_13),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f363,f544])).
% 0.15/0.49 fof(f606,plain,(
% 0.15/0.49 sk_c9=multiply(sk_c1,sk_c8)|~spl0_9|~spl0_10|~spl0_0),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f347,f293])).
% 0.15/0.49 fof(f607,plain,(
% 0.15/0.49 sk_c9=multiply(sk_c1,sk_c10)|~spl0_12|~spl0_22|~spl0_13|~spl0_9|~spl0_10|~spl0_0),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f574,f606])).
% 0.15/0.49 fof(f686,plain,(
% 0.15/0.49 ~multiply(sk_c10,sk_c10)=sk_c9|~spl0_0|~spl0_12|~spl0_22|~spl0_13|spl0_3),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f574,f119])).
% 0.15/0.49 fof(f687,plain,(
% 0.15/0.49 ~sk_c9=sk_c9|~spl0_9|~spl0_10|~spl0_0|~spl0_12|~spl0_22|~spl0_13|spl0_3),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f347,f686])).
% 0.15/0.49 fof(f688,plain,(
% 0.15/0.49 $false|~spl0_9|~spl0_10|~spl0_0|~spl0_12|~spl0_22|~spl0_13|spl0_3),
% 0.15/0.49 inference(trivial_equality_resolution,[status(esa)],[f687])).
% 0.15/0.49 fof(f689,plain,(
% 0.15/0.49 ~spl0_9|~spl0_10|~spl0_0|~spl0_12|~spl0_22|~spl0_13|spl0_3),
% 0.15/0.49 inference(contradiction_clause,[status(thm)],[f688])).
% 0.15/0.49 fof(f705,plain,(
% 0.15/0.49 spl0_27 <=> sk_c9=sk_c9),
% 0.15/0.49 introduced(split_symbol_definition)).
% 0.15/0.49 fof(f707,plain,(
% 0.15/0.49 ~sk_c9=sk_c9|spl0_27),
% 0.15/0.49 inference(component_clause,[status(thm)],[f705])).
% 0.15/0.49 fof(f716,plain,(
% 0.15/0.49 $false|spl0_27),
% 0.15/0.49 inference(trivial_equality_resolution,[status(esa)],[f707])).
% 0.15/0.49 fof(f717,plain,(
% 0.15/0.49 spl0_27),
% 0.15/0.49 inference(contradiction_clause,[status(thm)],[f716])).
% 0.15/0.49 fof(f719,plain,(
% 0.15/0.49 ~inverse(sk_c1)=sk_c10|~spl0_16|~spl0_12|~spl0_22|~spl0_13|~spl0_9|~spl0_10|~spl0_0),
% 0.15/0.49 inference(resolution,[status(thm)],[f203,f607])).
% 0.15/0.49 fof(f720,plain,(
% 0.15/0.49 ~sk_c10=sk_c10|~spl0_16|~spl0_12|~spl0_22|~spl0_13|~spl0_9|~spl0_10|~spl0_0),
% 0.15/0.49 inference(forward_demodulation,[status(thm)],[f142,f719])).
% 0.15/0.49 fof(f721,plain,(
% 0.15/0.49 $false|~spl0_16|~spl0_12|~spl0_22|~spl0_13|~spl0_9|~spl0_10|~spl0_0),
% 0.15/0.49 inference(trivial_equality_resolution,[status(esa)],[f720])).
% 0.15/0.49 fof(f722,plain,(
% 0.15/0.49 ~spl0_16|~spl0_12|~spl0_22|~spl0_13|~spl0_9|~spl0_10|~spl0_0),
% 0.15/0.49 inference(contradiction_clause,[status(thm)],[f721])).
% 0.15/0.49 fof(f723,plain,(
% 0.15/0.49 $false),
% 0.15/0.49 inference(sat_refutation,[status(thm)],[f112,f116,f120,f124,f128,f144,f145,f146,f147,f148,f155,f156,f157,f158,f159,f166,f167,f168,f177,f178,f179,f188,f189,f190,f191,f192,f208,f214,f237,f241,f245,f256,f269,f271,f278,f283,f285,f349,f357,f427,f532,f689,f717,f722])).
% 0.15/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.49 % Elapsed time: 0.158336 seconds
% 0.15/0.49 % CPU time: 0.856734 seconds
% 0.15/0.49 % Memory used: 71.763 MB
%------------------------------------------------------------------------------