TSTP Solution File: GRP252-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP252-1 : 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 12:11:07 EDT 2023
% Result : Unsatisfiable 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP252-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:57:59 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.21/0.40 % Refutation found
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.40 fof(f1,axiom,(
% 0.21/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f2,axiom,(
% 0.21/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f3,axiom,(
% 0.21/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f4,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f5,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f6,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f7,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f8,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f9,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f10,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f11,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f12,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f13,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f14,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f15,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f16,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f17,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f20,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f21,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f22,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f23,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f24,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c6) = sk_c8 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f27,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f28,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f29,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c2) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f30,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f31,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f34,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f35,negated_conjecture,(
% 0.21/0.40 ( inverse(sk_c3) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f41,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f42,negated_conjecture,(
% 0.21/0.40 ( multiply(sk_c3,sk_c8) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f46,negated_conjecture,(
% 0.21/0.40 (![X4,X5,X6,X1,X2,X3,X7]: (( multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| multiply(X5,sk_c9) != sk_c8| inverse(X5) != sk_c9| inverse(X6) != sk_c9| multiply(X6,sk_c8) != sk_c9| multiply(X1,sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8| multiply(sk_c8,X3) != sk_c9| multiply(X7,sk_c8) != X3| inverse(X7) != sk_c8 ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f47,plain,(
% 0.21/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f1])).
% 0.21/0.40 fof(f48,plain,(
% 0.21/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f2])).
% 0.21/0.40 fof(f49,plain,(
% 0.21/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f3])).
% 0.21/0.40 fof(f50,plain,(
% 0.21/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f4])).
% 0.21/0.40 fof(f51,plain,(
% 0.21/0.40 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f5])).
% 0.21/0.40 fof(f52,plain,(
% 0.21/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.40 fof(f53,plain,(
% 0.21/0.40 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f7])).
% 0.21/0.40 fof(f54,plain,(
% 0.21/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f8])).
% 0.21/0.40 fof(f55,plain,(
% 0.21/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.40 fof(f56,plain,(
% 0.21/0.40 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f10])).
% 0.21/0.40 fof(f57,plain,(
% 0.21/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f11])).
% 0.21/0.40 fof(f58,plain,(
% 0.21/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f12])).
% 0.21/0.40 fof(f59,plain,(
% 0.21/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c8)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f13])).
% 0.21/0.40 fof(f60,plain,(
% 0.21/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.40 fof(f61,plain,(
% 0.21/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c8,sk_c7)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.40 fof(f62,plain,(
% 0.21/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c6,sk_c8)=sk_c7),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f16])).
% 0.21/0.40 fof(f63,plain,(
% 0.21/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.40 fof(f66,plain,(
% 0.21/0.40 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f20])).
% 0.21/0.40 fof(f67,plain,(
% 0.21/0.40 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f21])).
% 0.21/0.40 fof(f68,plain,(
% 0.21/0.40 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.40 fof(f69,plain,(
% 0.21/0.40 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f23])).
% 0.21/0.40 fof(f70,plain,(
% 0.21/0.40 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c6)=sk_c8),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.40 fof(f73,plain,(
% 0.21/0.40 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f27])).
% 0.21/0.40 fof(f74,plain,(
% 0.21/0.40 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f28])).
% 0.21/0.40 fof(f75,plain,(
% 0.21/0.40 inverse(sk_c2)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f29])).
% 0.21/0.40 fof(f76,plain,(
% 0.21/0.40 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f30])).
% 0.21/0.40 fof(f77,plain,(
% 0.21/0.40 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.40 fof(f80,plain,(
% 0.21/0.40 inverse(sk_c3)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f34])).
% 0.21/0.40 fof(f81,plain,(
% 0.21/0.40 inverse(sk_c3)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f35])).
% 0.21/0.40 fof(f87,plain,(
% 0.21/0.40 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f41])).
% 0.21/0.40 fof(f88,plain,(
% 0.21/0.40 multiply(sk_c3,sk_c8)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f42])).
% 0.21/0.40 fof(f92,plain,(
% 0.21/0.40 ![X7]: ((![X3]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10))|~multiply(X5,sk_c9)=sk_c8)|~inverse(X5)=sk_c9))|~inverse(X6)=sk_c9)|~multiply(X6,sk_c8)=sk_c9))|~multiply(X1,sk_c10)=sk_c9)|~inverse(X1)=sk_c10))|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8))|~multiply(sk_c8,X3)=sk_c9)|~multiply(X7,sk_c8)=X3))|~inverse(X7)=sk_c8)),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f46])).
% 0.21/0.40 fof(f93,plain,(
% 0.21/0.40 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9|~inverse(X2)=sk_c9|~multiply(X2,sk_c8)=sk_c9|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8|~multiply(sk_c8,X5)=sk_c9|~multiply(X6,sk_c8)=X5|~inverse(X6)=sk_c8)),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f92])).
% 0.21/0.40 fof(f94,plain,(
% 0.21/0.40 spl0_0 <=> multiply(sk_c1,sk_c10)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f95,plain,(
% 0.21/0.40 multiply(sk_c1,sk_c10)=sk_c9|~spl0_0),
% 0.21/0.40 inference(component_clause,[status(thm)],[f94])).
% 0.21/0.40 fof(f97,plain,(
% 0.21/0.40 spl0_1 <=> multiply(sk_c4,sk_c10)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f98,plain,(
% 0.21/0.40 multiply(sk_c4,sk_c10)=sk_c9|~spl0_1),
% 0.21/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.21/0.40 fof(f100,plain,(
% 0.21/0.40 spl0_0|spl0_1),
% 0.21/0.40 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.21/0.40 fof(f101,plain,(
% 0.21/0.40 spl0_2 <=> inverse(sk_c4)=sk_c10),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f102,plain,(
% 0.21/0.40 inverse(sk_c4)=sk_c10|~spl0_2),
% 0.21/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.21/0.40 fof(f104,plain,(
% 0.21/0.40 spl0_0|spl0_2),
% 0.21/0.40 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.21/0.40 fof(f105,plain,(
% 0.21/0.40 spl0_3 <=> multiply(sk_c5,sk_c8)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f106,plain,(
% 0.21/0.40 multiply(sk_c5,sk_c8)=sk_c9|~spl0_3),
% 0.21/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.21/0.40 fof(f108,plain,(
% 0.21/0.40 spl0_0|spl0_3),
% 0.21/0.40 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.21/0.40 fof(f109,plain,(
% 0.21/0.40 spl0_4 <=> inverse(sk_c5)=sk_c8),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f110,plain,(
% 0.21/0.40 inverse(sk_c5)=sk_c8|~spl0_4),
% 0.21/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.21/0.40 fof(f112,plain,(
% 0.21/0.40 spl0_0|spl0_4),
% 0.21/0.40 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.21/0.40 fof(f113,plain,(
% 0.21/0.40 spl0_5 <=> multiply(sk_c8,sk_c7)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f114,plain,(
% 0.21/0.40 multiply(sk_c8,sk_c7)=sk_c9|~spl0_5),
% 0.21/0.40 inference(component_clause,[status(thm)],[f113])).
% 0.21/0.40 fof(f116,plain,(
% 0.21/0.40 spl0_0|spl0_5),
% 0.21/0.40 inference(split_clause,[status(thm)],[f54,f94,f113])).
% 0.21/0.40 fof(f117,plain,(
% 0.21/0.40 spl0_6 <=> multiply(sk_c6,sk_c8)=sk_c7),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f118,plain,(
% 0.21/0.40 multiply(sk_c6,sk_c8)=sk_c7|~spl0_6),
% 0.21/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.21/0.40 fof(f120,plain,(
% 0.21/0.40 spl0_0|spl0_6),
% 0.21/0.40 inference(split_clause,[status(thm)],[f55,f94,f117])).
% 0.21/0.40 fof(f121,plain,(
% 0.21/0.40 spl0_7 <=> inverse(sk_c6)=sk_c8),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f122,plain,(
% 0.21/0.40 inverse(sk_c6)=sk_c8|~spl0_7),
% 0.21/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.21/0.40 fof(f124,plain,(
% 0.21/0.40 spl0_0|spl0_7),
% 0.21/0.40 inference(split_clause,[status(thm)],[f56,f94,f121])).
% 0.21/0.40 fof(f125,plain,(
% 0.21/0.40 spl0_8 <=> inverse(sk_c1)=sk_c10),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f126,plain,(
% 0.21/0.40 inverse(sk_c1)=sk_c10|~spl0_8),
% 0.21/0.40 inference(component_clause,[status(thm)],[f125])).
% 0.21/0.40 fof(f127,plain,(
% 0.21/0.40 ~inverse(sk_c1)=sk_c10|spl0_8),
% 0.21/0.40 inference(component_clause,[status(thm)],[f125])).
% 0.21/0.40 fof(f128,plain,(
% 0.21/0.40 spl0_8|spl0_1),
% 0.21/0.40 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.21/0.40 fof(f129,plain,(
% 0.21/0.40 spl0_8|spl0_2),
% 0.21/0.40 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.21/0.40 fof(f130,plain,(
% 0.21/0.40 spl0_8|spl0_3),
% 0.21/0.40 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.21/0.40 fof(f131,plain,(
% 0.21/0.40 spl0_8|spl0_4),
% 0.21/0.40 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.21/0.40 fof(f132,plain,(
% 0.21/0.40 spl0_8|spl0_5),
% 0.21/0.40 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.21/0.40 fof(f133,plain,(
% 0.21/0.40 spl0_8|spl0_6),
% 0.21/0.40 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.21/0.40 fof(f134,plain,(
% 0.21/0.40 spl0_8|spl0_7),
% 0.21/0.40 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.21/0.40 fof(f135,plain,(
% 0.21/0.40 spl0_9 <=> multiply(sk_c2,sk_c9)=sk_c8),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f136,plain,(
% 0.21/0.40 multiply(sk_c2,sk_c9)=sk_c8|~spl0_9),
% 0.21/0.40 inference(component_clause,[status(thm)],[f135])).
% 0.21/0.40 fof(f140,plain,(
% 0.21/0.40 spl0_9|spl0_3),
% 0.21/0.40 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.21/0.40 fof(f141,plain,(
% 0.21/0.40 spl0_9|spl0_4),
% 0.21/0.40 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.21/0.40 fof(f142,plain,(
% 0.21/0.40 spl0_9|spl0_5),
% 0.21/0.40 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.21/0.40 fof(f143,plain,(
% 0.21/0.40 spl0_9|spl0_6),
% 0.21/0.40 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.21/0.40 fof(f144,plain,(
% 0.21/0.40 spl0_9|spl0_7),
% 0.21/0.40 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.21/0.40 fof(f145,plain,(
% 0.21/0.40 spl0_10 <=> inverse(sk_c2)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f146,plain,(
% 0.21/0.40 inverse(sk_c2)=sk_c9|~spl0_10),
% 0.21/0.40 inference(component_clause,[status(thm)],[f145])).
% 0.21/0.40 fof(f147,plain,(
% 0.21/0.40 ~inverse(sk_c2)=sk_c9|spl0_10),
% 0.21/0.40 inference(component_clause,[status(thm)],[f145])).
% 0.21/0.40 fof(f150,plain,(
% 0.21/0.40 spl0_10|spl0_3),
% 0.21/0.40 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.21/0.40 fof(f151,plain,(
% 0.21/0.40 spl0_10|spl0_4),
% 0.21/0.40 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.21/0.40 fof(f152,plain,(
% 0.21/0.40 spl0_10|spl0_5),
% 0.21/0.40 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.21/0.40 fof(f153,plain,(
% 0.21/0.40 spl0_10|spl0_6),
% 0.21/0.40 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.21/0.40 fof(f154,plain,(
% 0.21/0.40 spl0_10|spl0_7),
% 0.21/0.40 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.21/0.40 fof(f155,plain,(
% 0.21/0.40 spl0_11 <=> inverse(sk_c3)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f156,plain,(
% 0.21/0.40 inverse(sk_c3)=sk_c9|~spl0_11),
% 0.21/0.40 inference(component_clause,[status(thm)],[f155])).
% 0.21/0.40 fof(f160,plain,(
% 0.21/0.40 spl0_11|spl0_3),
% 0.21/0.40 inference(split_clause,[status(thm)],[f80,f155,f105])).
% 0.21/0.40 fof(f161,plain,(
% 0.21/0.40 spl0_11|spl0_4),
% 0.21/0.40 inference(split_clause,[status(thm)],[f81,f155,f109])).
% 0.21/0.40 fof(f165,plain,(
% 0.21/0.40 spl0_12 <=> multiply(sk_c3,sk_c8)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f166,plain,(
% 0.21/0.40 multiply(sk_c3,sk_c8)=sk_c9|~spl0_12),
% 0.21/0.40 inference(component_clause,[status(thm)],[f165])).
% 0.21/0.40 fof(f170,plain,(
% 0.21/0.40 spl0_12|spl0_3),
% 0.21/0.40 inference(split_clause,[status(thm)],[f87,f165,f105])).
% 0.21/0.40 fof(f171,plain,(
% 0.21/0.40 spl0_12|spl0_4),
% 0.21/0.40 inference(split_clause,[status(thm)],[f88,f165,f109])).
% 0.21/0.40 fof(f175,plain,(
% 0.21/0.40 spl0_13 <=> ~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f176,plain,(
% 0.21/0.40 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_13)),
% 0.21/0.40 inference(component_clause,[status(thm)],[f175])).
% 0.21/0.40 fof(f178,plain,(
% 0.21/0.40 spl0_14 <=> ~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f179,plain,(
% 0.21/0.40 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_14)),
% 0.21/0.40 inference(component_clause,[status(thm)],[f178])).
% 0.21/0.40 fof(f181,plain,(
% 0.21/0.40 spl0_15 <=> ~inverse(X2)=sk_c9|~multiply(X2,sk_c8)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f182,plain,(
% 0.21/0.40 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~spl0_15)),
% 0.21/0.40 inference(component_clause,[status(thm)],[f181])).
% 0.21/0.40 fof(f184,plain,(
% 0.21/0.40 spl0_16 <=> ~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f185,plain,(
% 0.21/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~spl0_16)),
% 0.21/0.40 inference(component_clause,[status(thm)],[f184])).
% 0.21/0.40 fof(f187,plain,(
% 0.21/0.40 spl0_17 <=> ~multiply(sk_c8,X5)=sk_c9|~multiply(X6,sk_c8)=X5|~inverse(X6)=sk_c8),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f188,plain,(
% 0.21/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c9|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_17)),
% 0.21/0.40 inference(component_clause,[status(thm)],[f187])).
% 0.21/0.40 fof(f190,plain,(
% 0.21/0.40 spl0_13|spl0_14|spl0_15|spl0_16|spl0_17),
% 0.21/0.40 inference(split_clause,[status(thm)],[f93,f175,f178,f181,f184,f187])).
% 0.21/0.40 fof(f191,plain,(
% 0.21/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c9|~inverse(X0)=sk_c8|~spl0_17)),
% 0.21/0.40 inference(destructive_equality_resolution,[status(esa)],[f188])).
% 0.21/0.40 fof(f192,plain,(
% 0.21/0.40 spl0_18 <=> multiply(sk_c8,sk_c9)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f193,plain,(
% 0.21/0.40 multiply(sk_c8,sk_c9)=sk_c9|~spl0_18),
% 0.21/0.40 inference(component_clause,[status(thm)],[f192])).
% 0.21/0.40 fof(f194,plain,(
% 0.21/0.40 ~multiply(sk_c8,sk_c9)=sk_c9|spl0_18),
% 0.21/0.40 inference(component_clause,[status(thm)],[f192])).
% 0.21/0.40 fof(f195,plain,(
% 0.21/0.40 ~multiply(sk_c8,sk_c9)=sk_c9|~inverse(sk_c5)=sk_c8|~spl0_17|~spl0_3),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f106,f191])).
% 0.21/0.40 fof(f196,plain,(
% 0.21/0.40 ~spl0_18|~spl0_4|~spl0_17|~spl0_3),
% 0.21/0.40 inference(split_clause,[status(thm)],[f195,f192,f109,f187,f105])).
% 0.21/0.40 fof(f197,plain,(
% 0.21/0.40 ~multiply(sk_c8,sk_c7)=sk_c9|~inverse(sk_c6)=sk_c8|~spl0_17|~spl0_6),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f118,f191])).
% 0.21/0.40 fof(f198,plain,(
% 0.21/0.40 ~spl0_5|~spl0_7|~spl0_17|~spl0_6),
% 0.21/0.40 inference(split_clause,[status(thm)],[f197,f113,f121,f187,f117])).
% 0.21/0.40 fof(f206,plain,(
% 0.21/0.40 spl0_20 <=> sk_c9=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f208,plain,(
% 0.21/0.40 ~sk_c9=sk_c9|spl0_20),
% 0.21/0.40 inference(component_clause,[status(thm)],[f206])).
% 0.21/0.40 fof(f211,plain,(
% 0.21/0.40 $false|spl0_20),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f208])).
% 0.21/0.40 fof(f212,plain,(
% 0.21/0.40 spl0_20),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f211])).
% 0.21/0.40 fof(f213,plain,(
% 0.21/0.40 ~inverse(sk_c3)=sk_c9|~spl0_15|~spl0_12),
% 0.21/0.40 inference(resolution,[status(thm)],[f182,f166])).
% 0.21/0.40 fof(f214,plain,(
% 0.21/0.40 ~sk_c9=sk_c9|~spl0_11|~spl0_15|~spl0_12),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f156,f213])).
% 0.21/0.40 fof(f215,plain,(
% 0.21/0.40 $false|~spl0_11|~spl0_15|~spl0_12),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f214])).
% 0.21/0.40 fof(f216,plain,(
% 0.21/0.40 ~spl0_11|~spl0_15|~spl0_12),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f215])).
% 0.21/0.40 fof(f217,plain,(
% 0.21/0.40 ~inverse(sk_c2)=sk_c9|~spl0_14|~spl0_9),
% 0.21/0.40 inference(resolution,[status(thm)],[f179,f136])).
% 0.21/0.40 fof(f218,plain,(
% 0.21/0.40 ~sk_c9=sk_c9|~spl0_10|~spl0_14|~spl0_9),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f146,f217])).
% 0.21/0.40 fof(f219,plain,(
% 0.21/0.40 $false|~spl0_10|~spl0_14|~spl0_9),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f218])).
% 0.21/0.40 fof(f220,plain,(
% 0.21/0.40 ~spl0_10|~spl0_14|~spl0_9),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f219])).
% 0.21/0.40 fof(f221,plain,(
% 0.21/0.40 ~inverse(sk_c4)=sk_c10|~spl0_13|~spl0_1),
% 0.21/0.40 inference(resolution,[status(thm)],[f176,f98])).
% 0.21/0.40 fof(f222,plain,(
% 0.21/0.40 ~sk_c10=sk_c10|~spl0_2|~spl0_13|~spl0_1),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f102,f221])).
% 0.21/0.40 fof(f223,plain,(
% 0.21/0.40 $false|~spl0_2|~spl0_13|~spl0_1),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f222])).
% 0.21/0.40 fof(f224,plain,(
% 0.21/0.40 ~spl0_2|~spl0_13|~spl0_1),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f223])).
% 0.21/0.40 fof(f225,plain,(
% 0.21/0.40 spl0_21 <=> sk_c8=sk_c8),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f227,plain,(
% 0.21/0.40 ~sk_c8=sk_c8|spl0_21),
% 0.21/0.40 inference(component_clause,[status(thm)],[f225])).
% 0.21/0.40 fof(f232,plain,(
% 0.21/0.40 spl0_22 <=> inverse(sk_c6)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f233,plain,(
% 0.21/0.40 inverse(sk_c6)=sk_c9|~spl0_22),
% 0.21/0.40 inference(component_clause,[status(thm)],[f232])).
% 0.21/0.40 fof(f234,plain,(
% 0.21/0.40 ~inverse(sk_c6)=sk_c9|spl0_22),
% 0.21/0.40 inference(component_clause,[status(thm)],[f232])).
% 0.21/0.40 fof(f245,plain,(
% 0.21/0.40 $false|spl0_21),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f227])).
% 0.21/0.40 fof(f246,plain,(
% 0.21/0.40 spl0_21),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f245])).
% 0.21/0.40 fof(f247,plain,(
% 0.21/0.40 ~inverse(sk_c1)=sk_c10|~spl0_13|~spl0_0),
% 0.21/0.40 inference(resolution,[status(thm)],[f176,f95])).
% 0.21/0.40 fof(f248,plain,(
% 0.21/0.40 ~sk_c10=sk_c10|~spl0_8|~spl0_13|~spl0_0),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f126,f247])).
% 0.21/0.40 fof(f249,plain,(
% 0.21/0.40 $false|~spl0_8|~spl0_13|~spl0_0),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f248])).
% 0.21/0.40 fof(f250,plain,(
% 0.21/0.40 ~spl0_8|~spl0_13|~spl0_0),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f249])).
% 0.21/0.40 fof(f256,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c8,multiply(sk_c7,X0))|~spl0_5)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f114,f49])).
% 0.21/0.40 fof(f259,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c1,multiply(sk_c10,X0))|~spl0_0)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f95,f49])).
% 0.21/0.40 fof(f260,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c2,multiply(sk_c9,X0))|~spl0_9)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f136,f49])).
% 0.21/0.40 fof(f262,plain,(
% 0.21/0.40 spl0_25 <=> multiply(sk_c9,sk_c8)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f264,plain,(
% 0.21/0.40 ~multiply(sk_c9,sk_c8)=sk_c9|spl0_25),
% 0.21/0.40 inference(component_clause,[status(thm)],[f262])).
% 0.21/0.40 fof(f319,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~spl0_3)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f106,f49])).
% 0.21/0.40 fof(f371,plain,(
% 0.21/0.40 multiply(sk_c9,sk_c7)=multiply(sk_c5,sk_c9)|~spl0_3|~spl0_5),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f114,f319])).
% 0.21/0.40 fof(f384,plain,(
% 0.21/0.40 spl0_40 <=> multiply(sk_c9,sk_c9)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f386,plain,(
% 0.21/0.40 ~multiply(sk_c9,sk_c9)=sk_c9|spl0_40),
% 0.21/0.40 inference(component_clause,[status(thm)],[f384])).
% 0.21/0.40 fof(f402,plain,(
% 0.21/0.40 ~sk_c8=sk_c9|~spl0_7|spl0_22),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f122,f234])).
% 0.21/0.40 fof(f405,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c8,X0))|~spl0_6)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f118,f49])).
% 0.21/0.40 fof(f407,plain,(
% 0.21/0.40 spl0_42 <=> sk_c8=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f408,plain,(
% 0.21/0.40 sk_c8=sk_c9|~spl0_42),
% 0.21/0.40 inference(component_clause,[status(thm)],[f407])).
% 0.21/0.40 fof(f409,plain,(
% 0.21/0.40 ~sk_c8=sk_c9|spl0_42),
% 0.21/0.40 inference(component_clause,[status(thm)],[f407])).
% 0.21/0.40 fof(f415,plain,(
% 0.21/0.40 ~sk_c8=sk_c9|~multiply(sk_c5,sk_c8)=sk_c9|~spl0_15|~spl0_4),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f110,f182])).
% 0.21/0.40 fof(f416,plain,(
% 0.21/0.40 ~spl0_42|~spl0_3|~spl0_15|~spl0_4),
% 0.21/0.40 inference(split_clause,[status(thm)],[f415,f407,f105,f181,f109])).
% 0.21/0.40 fof(f425,plain,(
% 0.21/0.40 spl0_46 <=> multiply(sk_c2,sk_c8)=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f428,plain,(
% 0.21/0.40 ~sk_c9=sk_c9|~multiply(sk_c2,sk_c8)=sk_c9|~spl0_15|~spl0_10),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f146,f182])).
% 0.21/0.40 fof(f429,plain,(
% 0.21/0.40 ~spl0_20|~spl0_46|~spl0_15|~spl0_10),
% 0.21/0.40 inference(split_clause,[status(thm)],[f428,f206,f425,f181,f145])).
% 0.21/0.40 fof(f438,plain,(
% 0.21/0.40 multiply(sk_c7,sk_c7)=multiply(sk_c6,sk_c9)|~spl0_6|~spl0_5),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f114,f405])).
% 0.21/0.40 fof(f453,plain,(
% 0.21/0.40 multiply(sk_c8,sk_c6)=identity|~spl0_7),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f122,f48])).
% 0.21/0.40 fof(f454,plain,(
% 0.21/0.40 multiply(sk_c8,sk_c5)=identity|~spl0_4),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f110,f48])).
% 0.21/0.40 fof(f456,plain,(
% 0.21/0.40 multiply(sk_c9,sk_c2)=identity|~spl0_10),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f146,f48])).
% 0.21/0.40 fof(f457,plain,(
% 0.21/0.40 multiply(sk_c10,sk_c1)=identity|~spl0_8),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f126,f48])).
% 0.21/0.40 fof(f458,plain,(
% 0.21/0.40 multiply(sk_c9,sk_c3)=identity|~spl0_11),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f156,f48])).
% 0.21/0.40 fof(f459,plain,(
% 0.21/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.21/0.40 fof(f460,plain,(
% 0.21/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f47,f459])).
% 0.21/0.40 fof(f461,plain,(
% 0.21/0.40 multiply(sk_c7,sk_c6)=multiply(sk_c6,identity)|~spl0_6|~spl0_7),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f453,f405])).
% 0.21/0.40 fof(f465,plain,(
% 0.21/0.40 multiply(sk_c7,sk_c5)=multiply(sk_c6,identity)|~spl0_6|~spl0_4),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f454,f405])).
% 0.21/0.40 fof(f466,plain,(
% 0.21/0.40 multiply(sk_c7,sk_c5)=multiply(sk_c7,sk_c6)|~spl0_7|~spl0_6|~spl0_4),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f461,f465])).
% 0.21/0.40 fof(f482,plain,(
% 0.21/0.40 multiply(sk_c8,sk_c2)=multiply(sk_c2,identity)|~spl0_9|~spl0_10),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f456,f260])).
% 0.21/0.40 fof(f525,plain,(
% 0.21/0.40 ![X0]: (multiply(multiply(sk_c8,sk_c2),X0)=multiply(sk_c2,multiply(identity,X0))|~spl0_9|~spl0_10)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f482,f49])).
% 0.21/0.40 fof(f526,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c8,multiply(sk_c2,X0))=multiply(sk_c2,multiply(identity,X0))|~spl0_9|~spl0_10)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f49,f525])).
% 0.21/0.40 fof(f527,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c8,multiply(sk_c2,X0))=multiply(sk_c2,X0)|~spl0_9|~spl0_10)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f47,f526])).
% 0.21/0.40 fof(f537,plain,(
% 0.21/0.40 sk_c6=multiply(inverse(sk_c7),multiply(sk_c7,sk_c5))|~spl0_7|~spl0_6|~spl0_4),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f466,f460])).
% 0.21/0.40 fof(f538,plain,(
% 0.21/0.40 sk_c6=sk_c5|~spl0_7|~spl0_6|~spl0_4),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f460,f537])).
% 0.21/0.40 fof(f542,plain,(
% 0.21/0.40 sk_c3=multiply(inverse(sk_c9),identity)|~spl0_11),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f458,f460])).
% 0.21/0.40 fof(f543,plain,(
% 0.21/0.40 sk_c2=multiply(inverse(sk_c9),identity)|~spl0_10),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f456,f460])).
% 0.21/0.40 fof(f544,plain,(
% 0.21/0.40 sk_c2=sk_c3|~spl0_11|~spl0_10),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f542,f543])).
% 0.21/0.40 fof(f545,plain,(
% 0.21/0.40 sk_c1=multiply(inverse(sk_c10),identity)|~spl0_8),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f457,f460])).
% 0.21/0.40 fof(f548,plain,(
% 0.21/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f460,f460])).
% 0.21/0.40 fof(f549,plain,(
% 0.21/0.40 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f48,f460])).
% 0.21/0.40 fof(f550,plain,(
% 0.21/0.40 ![X0]: (X0=multiply(X0,identity))),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f548,f549])).
% 0.21/0.40 fof(f552,plain,(
% 0.21/0.40 sk_c9=multiply(inverse(sk_c6),multiply(sk_c7,sk_c7))|~spl0_6|~spl0_5),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f438,f460])).
% 0.21/0.40 fof(f553,plain,(
% 0.21/0.40 sk_c9=multiply(sk_c8,multiply(sk_c7,sk_c7))|~spl0_7|~spl0_6|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f122,f552])).
% 0.21/0.40 fof(f554,plain,(
% 0.21/0.40 sk_c9=multiply(sk_c9,sk_c7)|~spl0_7|~spl0_6|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f256,f553])).
% 0.21/0.40 fof(f558,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(inverse(sk_c6),multiply(sk_c7,X0))|~spl0_6)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f405,f460])).
% 0.21/0.40 fof(f559,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c8,multiply(sk_c7,X0))|~spl0_7|~spl0_6)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f122,f558])).
% 0.21/0.40 fof(f560,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c9,X0)|~spl0_5|~spl0_7|~spl0_6)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f256,f559])).
% 0.21/0.40 fof(f561,plain,(
% 0.21/0.40 sk_c8=multiply(inverse(sk_c6),sk_c7)|~spl0_6),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f118,f460])).
% 0.21/0.40 fof(f562,plain,(
% 0.21/0.40 sk_c8=multiply(sk_c8,sk_c7)|~spl0_7|~spl0_6),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f122,f561])).
% 0.21/0.40 fof(f563,plain,(
% 0.21/0.40 sk_c8=sk_c9|~spl0_5|~spl0_7|~spl0_6),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f114,f562])).
% 0.21/0.40 fof(f564,plain,(
% 0.21/0.40 $false|spl0_22|~spl0_5|~spl0_7|~spl0_6),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f563,f402])).
% 0.21/0.40 fof(f565,plain,(
% 0.21/0.40 spl0_22|~spl0_5|~spl0_7|~spl0_6),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f564])).
% 0.21/0.40 fof(f566,plain,(
% 0.21/0.40 sk_c5=multiply(inverse(sk_c8),identity)|~spl0_4),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f454,f460])).
% 0.21/0.40 fof(f567,plain,(
% 0.21/0.40 sk_c5=inverse(sk_c8)|~spl0_4),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f550,f566])).
% 0.21/0.40 fof(f573,plain,(
% 0.21/0.40 sk_c7=multiply(inverse(sk_c8),sk_c9)|~spl0_5),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f114,f460])).
% 0.21/0.40 fof(f574,plain,(
% 0.21/0.40 sk_c7=multiply(sk_c5,sk_c9)|~spl0_4|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f567,f573])).
% 0.21/0.40 fof(f575,plain,(
% 0.21/0.40 sk_c9=multiply(inverse(sk_c5),multiply(sk_c9,sk_c7))|~spl0_3|~spl0_5),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f371,f460])).
% 0.21/0.40 fof(f576,plain,(
% 0.21/0.40 sk_c9=multiply(sk_c8,multiply(sk_c9,sk_c7))|~spl0_4|~spl0_3|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f110,f575])).
% 0.21/0.40 fof(f577,plain,(
% 0.21/0.40 sk_c9=multiply(sk_c9,multiply(sk_c9,sk_c7))|~spl0_7|~spl0_6|~spl0_4|~spl0_3|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f560,f576])).
% 0.21/0.40 fof(f578,plain,(
% 0.21/0.40 sk_c9=multiply(sk_c9,sk_c9)|~spl0_7|~spl0_6|~spl0_4|~spl0_3|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f554,f577])).
% 0.21/0.40 fof(f587,plain,(
% 0.21/0.40 sk_c8=multiply(inverse(sk_c5),sk_c9)|~spl0_3),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f106,f460])).
% 0.21/0.40 fof(f588,plain,(
% 0.21/0.40 sk_c8=multiply(sk_c8,sk_c9)|~spl0_4|~spl0_3),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f110,f587])).
% 0.21/0.40 fof(f589,plain,(
% 0.21/0.40 sk_c8=multiply(sk_c9,sk_c9)|~spl0_5|~spl0_7|~spl0_6|~spl0_4|~spl0_3),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f560,f588])).
% 0.21/0.40 fof(f590,plain,(
% 0.21/0.40 sk_c8=sk_c9|~spl0_5|~spl0_7|~spl0_6|~spl0_4|~spl0_3),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f578,f589])).
% 0.21/0.40 fof(f600,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c9,X0)=multiply(inverse(sk_c2),multiply(sk_c8,X0))|~spl0_9)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f260,f460])).
% 0.21/0.40 fof(f601,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c9,multiply(sk_c8,X0))|~spl0_10|~spl0_9)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f146,f600])).
% 0.21/0.40 fof(f603,plain,(
% 0.21/0.40 sk_c9=multiply(inverse(sk_c2),sk_c8)|~spl0_9),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f136,f460])).
% 0.21/0.40 fof(f604,plain,(
% 0.21/0.40 sk_c9=multiply(sk_c9,sk_c8)|~spl0_10|~spl0_9),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f146,f603])).
% 0.21/0.40 fof(f612,plain,(
% 0.21/0.40 multiply(sk_c7,sk_c7)=multiply(sk_c5,sk_c9)|~spl0_7|~spl0_4|~spl0_6|~spl0_5),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f538,f438])).
% 0.21/0.40 fof(f613,plain,(
% 0.21/0.40 multiply(sk_c7,sk_c7)=sk_c7|~spl0_7|~spl0_4|~spl0_6|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f574,f612])).
% 0.21/0.40 fof(f616,plain,(
% 0.21/0.40 multiply(sk_c5,sk_c8)=sk_c7|~spl0_7|~spl0_4|~spl0_6),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f538,f118])).
% 0.21/0.40 fof(f617,plain,(
% 0.21/0.40 sk_c9=sk_c7|~spl0_3|~spl0_7|~spl0_4|~spl0_6),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f106,f616])).
% 0.21/0.40 fof(f661,plain,(
% 0.21/0.40 sk_c1=inverse(sk_c10)|~spl0_8),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f550,f545])).
% 0.21/0.40 fof(f671,plain,(
% 0.21/0.40 multiply(sk_c2,sk_c8)=sk_c9|~spl0_11|~spl0_10|~spl0_12),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f544,f166])).
% 0.21/0.40 fof(f675,plain,(
% 0.21/0.40 $false|spl0_25|~spl0_10|~spl0_9),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f604,f264])).
% 0.21/0.40 fof(f676,plain,(
% 0.21/0.40 spl0_25|~spl0_10|~spl0_9),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f675])).
% 0.21/0.40 fof(f681,plain,(
% 0.21/0.40 multiply(sk_c9,sk_c5)=identity|~spl0_5|~spl0_7|~spl0_6|~spl0_4),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f560,f454])).
% 0.21/0.40 fof(f688,plain,(
% 0.21/0.40 $false|spl0_42|~spl0_5|~spl0_7|~spl0_6),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f563,f409])).
% 0.21/0.40 fof(f689,plain,(
% 0.21/0.40 spl0_42|~spl0_5|~spl0_7|~spl0_6),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f688])).
% 0.21/0.40 fof(f692,plain,(
% 0.21/0.40 multiply(sk_c2,sk_c9)=sk_c9|~spl0_5|~spl0_7|~spl0_6|~spl0_4|~spl0_3|~spl0_9),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f590,f136])).
% 0.21/0.40 fof(f693,plain,(
% 0.21/0.40 sk_c8=sk_c9|~spl0_5|~spl0_7|~spl0_6|~spl0_4|~spl0_3|~spl0_9),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f136,f692])).
% 0.21/0.40 fof(f695,plain,(
% 0.21/0.40 multiply(sk_c7,sk_c7)=sk_c9|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f617,f613])).
% 0.21/0.40 fof(f701,plain,(
% 0.21/0.40 sk_c9=sk_c7|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f695,f613])).
% 0.21/0.40 fof(f718,plain,(
% 0.21/0.40 sk_c9=multiply(inverse(sk_c8),sk_c9)|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f701,f573])).
% 0.21/0.40 fof(f719,plain,(
% 0.21/0.40 sk_c9=multiply(inverse(sk_c9),sk_c9)|~spl0_9|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f693,f718])).
% 0.21/0.40 fof(f720,plain,(
% 0.21/0.40 sk_c9=identity|~spl0_9|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f48,f719])).
% 0.21/0.40 fof(f822,plain,(
% 0.21/0.40 multiply(sk_c9,sk_c5)=multiply(sk_c6,identity)|~spl0_3|~spl0_7|~spl0_5|~spl0_6|~spl0_4),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f701,f465])).
% 0.21/0.40 fof(f823,plain,(
% 0.21/0.40 identity=multiply(sk_c6,identity)|~spl0_3|~spl0_7|~spl0_5|~spl0_6|~spl0_4),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f681,f822])).
% 0.21/0.40 fof(f824,plain,(
% 0.21/0.40 identity=multiply(inverse(sk_c2),sk_c8)|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_9),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f720,f603])).
% 0.21/0.40 fof(f825,plain,(
% 0.21/0.40 identity=multiply(inverse(sk_c2),sk_c9)|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_9),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f693,f824])).
% 0.21/0.40 fof(f826,plain,(
% 0.21/0.40 identity=multiply(inverse(sk_c2),identity)|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_9),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f720,f825])).
% 0.21/0.40 fof(f827,plain,(
% 0.21/0.40 identity=inverse(sk_c2)|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_9),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f550,f826])).
% 0.21/0.40 fof(f834,plain,(
% 0.21/0.40 ~identity=sk_c9|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_9|spl0_10),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f827,f147])).
% 0.21/0.40 fof(f835,plain,(
% 0.21/0.40 ~identity=identity|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_9|spl0_10),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f720,f834])).
% 0.21/0.40 fof(f836,plain,(
% 0.21/0.40 $false|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_9|spl0_10),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f835])).
% 0.21/0.40 fof(f837,plain,(
% 0.21/0.40 ~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_9|spl0_10),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f836])).
% 0.21/0.40 fof(f843,plain,(
% 0.21/0.40 inverse(sk_c2)=sk_c9|~spl0_10|~spl0_11),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f544,f156])).
% 0.21/0.40 fof(f853,plain,(
% 0.21/0.40 sk_c2=inverse(sk_c9)|~spl0_10),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f550,f543])).
% 0.21/0.40 fof(f930,plain,(
% 0.21/0.40 sk_c10=multiply(inverse(sk_c1),sk_c9)|~spl0_0),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f95,f460])).
% 0.21/0.40 fof(f936,plain,(
% 0.21/0.40 spl0_50 <=> multiply(sk_c8,multiply(sk_c2,sk_c8))=sk_c9),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f938,plain,(
% 0.21/0.40 ~multiply(sk_c8,multiply(sk_c2,sk_c8))=sk_c9|spl0_50),
% 0.21/0.40 inference(component_clause,[status(thm)],[f936])).
% 0.21/0.40 fof(f939,plain,(
% 0.21/0.40 ~multiply(sk_c8,multiply(sk_c2,sk_c8))=sk_c9|~sk_c9=sk_c8|~spl0_17|~spl0_10|~spl0_11),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f843,f191])).
% 0.21/0.40 fof(f940,plain,(
% 0.21/0.40 ~spl0_50|~spl0_42|~spl0_17|~spl0_10|~spl0_11),
% 0.21/0.40 inference(split_clause,[status(thm)],[f939,f936,f407,f187,f145,f155])).
% 0.21/0.40 fof(f943,plain,(
% 0.21/0.40 ~multiply(sk_c2,sk_c8)=sk_c9|~spl0_9|~spl0_10|spl0_50),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f527,f938])).
% 0.21/0.40 fof(f944,plain,(
% 0.21/0.40 ~sk_c9=sk_c9|~spl0_11|~spl0_12|~spl0_9|~spl0_10|spl0_50),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f671,f943])).
% 0.21/0.40 fof(f945,plain,(
% 0.21/0.40 $false|~spl0_11|~spl0_12|~spl0_9|~spl0_10|spl0_50),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f944])).
% 0.21/0.40 fof(f946,plain,(
% 0.21/0.40 ~spl0_11|~spl0_12|~spl0_9|~spl0_10|spl0_50),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f945])).
% 0.21/0.40 fof(f964,plain,(
% 0.21/0.40 ![X0]: (X0=multiply(sk_c1,multiply(sk_c10,X0))|~spl0_8)),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f661,f460])).
% 0.21/0.40 fof(f965,plain,(
% 0.21/0.40 ![X0]: (X0=multiply(sk_c9,X0)|~spl0_0|~spl0_8)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f259,f964])).
% 0.21/0.40 fof(f966,plain,(
% 0.21/0.40 multiply(sk_c1,sk_c10)=identity|~spl0_8),
% 0.21/0.40 inference(paramodulation,[status(thm)],[f661,f48])).
% 0.21/0.40 fof(f967,plain,(
% 0.21/0.40 sk_c9=identity|~spl0_0|~spl0_8),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f95,f966])).
% 0.21/0.40 fof(f971,plain,(
% 0.21/0.40 sk_c9=sk_c8|~spl0_0|~spl0_8|~spl0_10|~spl0_9),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f965,f604])).
% 0.21/0.40 fof(f972,plain,(
% 0.21/0.40 spl0_42|~spl0_0|~spl0_8|~spl0_10|~spl0_9),
% 0.21/0.40 inference(split_clause,[status(thm)],[f971,f407,f94,f125,f145,f135])).
% 0.21/0.40 fof(f975,plain,(
% 0.21/0.40 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c8,X0)|~spl0_0|~spl0_8|~spl0_10|~spl0_9)),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f965,f601])).
% 0.21/0.40 fof(f976,plain,(
% 0.21/0.40 ![X0]: (X0=multiply(sk_c8,X0)|~spl0_0|~spl0_8|~spl0_10|~spl0_9)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f965,f975])).
% 0.21/0.40 fof(f991,plain,(
% 0.21/0.40 multiply(sk_c2,identity)=sk_c8|~spl0_0|~spl0_8|~spl0_9),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f967,f136])).
% 0.21/0.40 fof(f992,plain,(
% 0.21/0.40 sk_c2=sk_c8|~spl0_0|~spl0_8|~spl0_9),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f550,f991])).
% 0.21/0.40 fof(f1015,plain,(
% 0.21/0.40 ~multiply(sk_c8,sk_c9)=identity|~spl0_0|~spl0_8|spl0_18),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f967,f194])).
% 0.21/0.40 fof(f1016,plain,(
% 0.21/0.40 ~sk_c9=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_8|spl0_18),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f976,f1015])).
% 0.21/0.40 fof(f1017,plain,(
% 0.21/0.40 ~identity=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_8|spl0_18),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f967,f1016])).
% 0.21/0.40 fof(f1018,plain,(
% 0.21/0.40 $false|~spl0_10|~spl0_9|~spl0_0|~spl0_8|spl0_18),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f1017])).
% 0.21/0.40 fof(f1019,plain,(
% 0.21/0.40 ~spl0_10|~spl0_9|~spl0_0|~spl0_8|spl0_18),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f1018])).
% 0.21/0.40 fof(f1029,plain,(
% 0.21/0.40 multiply(sk_c8,identity)=sk_c9|~spl0_0|~spl0_8|~spl0_18),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f967,f193])).
% 0.21/0.40 fof(f1030,plain,(
% 0.21/0.40 sk_c8=sk_c9|~spl0_0|~spl0_8|~spl0_18),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f550,f1029])).
% 0.21/0.40 fof(f1031,plain,(
% 0.21/0.40 sk_c8=identity|~spl0_0|~spl0_8|~spl0_18),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f967,f1030])).
% 0.21/0.40 fof(f1055,plain,(
% 0.21/0.40 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c8|~spl0_0|~spl0_8|~spl0_18|~spl0_16)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1031,f185])).
% 0.21/0.40 fof(f1056,plain,(
% 0.21/0.40 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c8|~spl0_0|~spl0_8|~spl0_18|~spl0_16)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f550,f1055])).
% 0.21/0.40 fof(f1057,plain,(
% 0.21/0.40 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_0|~spl0_8|~spl0_18|~spl0_16)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f967,f1056])).
% 0.21/0.40 fof(f1058,plain,(
% 0.21/0.40 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_8|~spl0_18|~spl0_16)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1031,f1057])).
% 0.21/0.40 fof(f1059,plain,(
% 0.21/0.40 ~inverse(identity)=identity|~spl0_0|~spl0_8|~spl0_18|~spl0_16),
% 0.21/0.40 inference(destructive_equality_resolution,[status(esa)],[f1058])).
% 0.21/0.40 fof(f1063,plain,(
% 0.21/0.40 sk_c2=identity|~spl0_18|~spl0_0|~spl0_8|~spl0_9),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1031,f992])).
% 0.21/0.40 fof(f1091,plain,(
% 0.21/0.40 identity=inverse(sk_c9)|~spl0_18|~spl0_0|~spl0_8|~spl0_9|~spl0_10),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1063,f853])).
% 0.21/0.40 fof(f1092,plain,(
% 0.21/0.40 identity=inverse(identity)|~spl0_18|~spl0_0|~spl0_8|~spl0_9|~spl0_10),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f967,f1091])).
% 0.21/0.40 fof(f1093,plain,(
% 0.21/0.40 $false|~spl0_16|~spl0_18|~spl0_0|~spl0_8|~spl0_9|~spl0_10),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1092,f1059])).
% 0.21/0.40 fof(f1094,plain,(
% 0.21/0.40 ~spl0_16|~spl0_18|~spl0_0|~spl0_8|~spl0_9|~spl0_10),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f1093])).
% 0.21/0.40 fof(f1361,plain,(
% 0.21/0.40 ~multiply(identity,sk_c9)=sk_c9|~spl0_0|~spl0_8|spl0_40),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f967,f386])).
% 0.21/0.40 fof(f1362,plain,(
% 0.21/0.40 ~sk_c9=sk_c9|~spl0_0|~spl0_8|spl0_40),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f47,f1361])).
% 0.21/0.40 fof(f1363,plain,(
% 0.21/0.40 ~identity=sk_c9|~spl0_0|~spl0_8|spl0_40),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f967,f1362])).
% 0.21/0.40 fof(f1364,plain,(
% 0.21/0.40 ~identity=identity|~spl0_0|~spl0_8|spl0_40),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f967,f1363])).
% 0.21/0.40 fof(f1365,plain,(
% 0.21/0.40 $false|~spl0_0|~spl0_8|spl0_40),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f1364])).
% 0.21/0.40 fof(f1366,plain,(
% 0.21/0.40 ~spl0_0|~spl0_8|spl0_40),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f1365])).
% 0.21/0.40 fof(f1378,plain,(
% 0.21/0.40 identity=sk_c6|~spl0_3|~spl0_7|~spl0_5|~spl0_6|~spl0_4),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f550,f823])).
% 0.21/0.40 fof(f1403,plain,(
% 0.21/0.40 sk_c9=multiply(inverse(sk_c9),sk_c9)|~spl0_42|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f408,f718])).
% 0.21/0.40 fof(f1404,plain,(
% 0.21/0.40 sk_c9=identity|~spl0_42|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f48,f1403])).
% 0.21/0.40 fof(f1433,plain,(
% 0.21/0.40 inverse(identity)=sk_c9|~spl0_3|~spl0_7|~spl0_5|~spl0_6|~spl0_4|~spl0_22),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1378,f233])).
% 0.21/0.40 fof(f1434,plain,(
% 0.21/0.40 inverse(identity)=identity|~spl0_42|~spl0_3|~spl0_7|~spl0_5|~spl0_6|~spl0_4|~spl0_22),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1404,f1433])).
% 0.21/0.40 fof(f1686,plain,(
% 0.21/0.40 sk_c10=multiply(inverse(sk_c1),identity)|~spl0_42|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_0),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1404,f930])).
% 0.21/0.40 fof(f1687,plain,(
% 0.21/0.40 sk_c10=inverse(sk_c1)|~spl0_42|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_0),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f550,f1686])).
% 0.21/0.40 fof(f1719,plain,(
% 0.21/0.40 ~sk_c10=sk_c10|~spl0_42|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_0|spl0_8),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1687,f127])).
% 0.21/0.40 fof(f1720,plain,(
% 0.21/0.40 $false|~spl0_42|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_0|spl0_8),
% 0.21/0.40 inference(trivial_equality_resolution,[status(esa)],[f1719])).
% 0.21/0.40 fof(f1721,plain,(
% 0.21/0.40 ~spl0_42|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_0|spl0_8),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f1720])).
% 0.21/0.40 fof(f1722,plain,(
% 0.21/0.40 ![X0]: (~multiply(X0,sk_c9)=sk_c9|~inverse(X0)=sk_c9|~spl0_42|~spl0_14)),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f408,f179])).
% 0.21/0.40 fof(f1723,plain,(
% 0.21/0.40 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c9|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_14)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1404,f1722])).
% 0.21/0.40 fof(f1724,plain,(
% 0.21/0.40 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c9|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_14)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f550,f1723])).
% 0.21/0.40 fof(f1725,plain,(
% 0.21/0.40 ![X0]: (~X0=identity|~inverse(X0)=sk_c9|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_14)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1404,f1724])).
% 0.21/0.40 fof(f1726,plain,(
% 0.21/0.40 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_14)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1404,f1725])).
% 0.21/0.40 fof(f1727,plain,(
% 0.21/0.40 ~inverse(identity)=identity|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_14),
% 0.21/0.40 inference(destructive_equality_resolution,[status(esa)],[f1726])).
% 0.21/0.40 fof(f1728,plain,(
% 0.21/0.40 $false|~spl0_22|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_14),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1727,f1434])).
% 0.21/0.40 fof(f1729,plain,(
% 0.21/0.40 ~spl0_22|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_14),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f1728])).
% 0.21/0.40 fof(f1772,plain,(
% 0.21/0.40 sk_c8=identity|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42),
% 0.21/0.40 inference(backward_demodulation,[status(thm)],[f1404,f408])).
% 0.21/0.40 fof(f1836,plain,(
% 0.21/0.40 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c8|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_16)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1772,f185])).
% 0.21/0.40 fof(f1837,plain,(
% 0.21/0.40 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c8|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_16)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f550,f1836])).
% 0.21/0.40 fof(f1838,plain,(
% 0.21/0.40 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_16)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1404,f1837])).
% 0.21/0.40 fof(f1839,plain,(
% 0.21/0.40 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_16)),
% 0.21/0.40 inference(forward_demodulation,[status(thm)],[f1772,f1838])).
% 0.21/0.40 fof(f1840,plain,(
% 0.21/0.40 ~inverse(identity)=identity|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_16),
% 0.21/0.40 inference(destructive_equality_resolution,[status(esa)],[f1839])).
% 0.21/0.40 fof(f1841,plain,(
% 0.21/0.40 $false|~spl0_22|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_16),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1840,f1434])).
% 0.21/0.40 fof(f1842,plain,(
% 0.21/0.40 ~spl0_22|~spl0_3|~spl0_7|~spl0_4|~spl0_6|~spl0_5|~spl0_42|~spl0_16),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f1841])).
% 0.21/0.40 fof(f1843,plain,(
% 0.21/0.40 $false),
% 0.21/0.40 inference(sat_refutation,[status(thm)],[f100,f104,f108,f112,f116,f120,f124,f128,f129,f130,f131,f132,f133,f134,f140,f141,f142,f143,f144,f150,f151,f152,f153,f154,f160,f161,f170,f171,f190,f196,f198,f212,f216,f220,f224,f246,f250,f416,f429,f565,f676,f689,f837,f940,f946,f972,f1019,f1094,f1366,f1721,f1729,f1842])).
% 0.21/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.42 % Elapsed time: 0.066446 seconds
% 0.21/0.42 % CPU time: 0.369722 seconds
% 0.21/0.42 % Memory used: 35.591 MB
%------------------------------------------------------------------------------