TSTP Solution File: GRP322-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP322-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:11:20 EDT 2023
% Result : Unsatisfiable 0.14s 0.35s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP322-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n025.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 11:40:42 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 0.14/0.35 % Refutation found
% 0.14/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.35 fof(f1,axiom,(
% 0.14/0.35 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f2,axiom,(
% 0.14/0.35 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f3,axiom,(
% 0.14/0.35 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f4,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c9,sk_c8) = sk_c7 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f5,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f6,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f7,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c9,sk_c6) = sk_c8 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f8,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f9,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f10,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c9,sk_c8) = sk_c7 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f11,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f12,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f13,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c9,sk_c6) = sk_c8 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f14,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f15,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f16,negated_conjecture,(
% 0.14/0.35 ( inverse(sk_c1) = sk_c8| multiply(sk_c9,sk_c8) = sk_c7 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f17,negated_conjecture,(
% 0.14/0.35 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f18,negated_conjecture,(
% 0.14/0.35 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f19,negated_conjecture,(
% 0.14/0.35 ( inverse(sk_c1) = sk_c8| multiply(sk_c9,sk_c6) = sk_c8 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f20,negated_conjecture,(
% 0.14/0.35 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f21,negated_conjecture,(
% 0.14/0.35 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f23,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f24,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f29,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f30,negated_conjecture,(
% 0.14/0.35 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f35,negated_conjecture,(
% 0.14/0.35 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f36,negated_conjecture,(
% 0.14/0.35 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f40,negated_conjecture,(
% 0.14/0.35 (![X4,X5,X6,X1,X2,X3]: (( multiply(sk_c8,sk_c9) != sk_c7| multiply(X4,sk_c8) != sk_c9| inverse(X4) != sk_c8| multiply(sk_c9,X5) != sk_c8| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9| multiply(sk_c9,sk_c8) != sk_c7| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(sk_c9,X2) != sk_c8| multiply(X3,sk_c9) != X2| inverse(X3) != sk_c9 ) ))),
% 0.14/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.35 fof(f41,plain,(
% 0.14/0.35 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.35 fof(f42,plain,(
% 0.14/0.35 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.35 fof(f43,plain,(
% 0.14/0.35 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.35 fof(f44,plain,(
% 0.14/0.35 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c9,sk_c8)=sk_c7),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.35 fof(f45,plain,(
% 0.14/0.35 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c4,sk_c9)=sk_c8),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.35 fof(f46,plain,(
% 0.14/0.35 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c4)=sk_c9),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.35 fof(f47,plain,(
% 0.14/0.35 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c9,sk_c6)=sk_c8),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.35 fof(f48,plain,(
% 0.14/0.35 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.35 fof(f49,plain,(
% 0.14/0.35 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c5)=sk_c9),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.35 fof(f50,plain,(
% 0.14/0.35 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c9,sk_c8)=sk_c7),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.35 fof(f51,plain,(
% 0.14/0.35 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.35 fof(f52,plain,(
% 0.14/0.35 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.35 fof(f53,plain,(
% 0.14/0.35 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c9,sk_c6)=sk_c8),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.35 fof(f54,plain,(
% 0.14/0.35 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c5,sk_c9)=sk_c6),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f14])).
% 0.14/0.35 fof(f55,plain,(
% 0.14/0.35 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.35 fof(f56,plain,(
% 0.14/0.35 inverse(sk_c1)=sk_c8|multiply(sk_c9,sk_c8)=sk_c7),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.14/0.35 fof(f57,plain,(
% 0.14/0.35 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.35 fof(f58,plain,(
% 0.14/0.35 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f18])).
% 0.14/0.35 fof(f59,plain,(
% 0.14/0.35 inverse(sk_c1)=sk_c8|multiply(sk_c9,sk_c6)=sk_c8),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.35 fof(f60,plain,(
% 0.14/0.35 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c9)=sk_c6),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f20])).
% 0.14/0.35 fof(f61,plain,(
% 0.14/0.35 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c9),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f21])).
% 0.14/0.35 fof(f63,plain,(
% 0.14/0.35 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.35 fof(f64,plain,(
% 0.14/0.35 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.35 fof(f69,plain,(
% 0.14/0.35 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c4,sk_c9)=sk_c8),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.35 fof(f70,plain,(
% 0.14/0.35 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c4)=sk_c9),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.35 fof(f75,plain,(
% 0.14/0.35 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f35])).
% 0.14/0.35 fof(f76,plain,(
% 0.14/0.35 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f36])).
% 0.14/0.35 fof(f80,plain,(
% 0.14/0.35 ![X3]: ((![X2]: (((![X1]: ((((![X6]: ((![X5]: (((![X4]: ((~multiply(sk_c8,sk_c9)=sk_c7|~multiply(X4,sk_c8)=sk_c9)|~inverse(X4)=sk_c8))|~multiply(sk_c9,X5)=sk_c8)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9))|~multiply(sk_c9,sk_c8)=sk_c7)|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(sk_c9,X2)=sk_c8)|~multiply(X3,sk_c9)=X2))|~inverse(X3)=sk_c9)),
% 0.14/0.35 inference(miniscoping,[status(esa)],[f40])).
% 0.14/0.35 fof(f81,plain,(
% 0.14/0.35 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c8,sk_c9)=sk_c7|~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9|~multiply(sk_c9,sk_c8)=sk_c7|~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9|~multiply(sk_c9,X4)=sk_c8|~multiply(X5,sk_c9)=X4|~inverse(X5)=sk_c9)),
% 0.14/0.35 inference(cnf_transformation,[status(esa)],[f80])).
% 0.14/0.35 fof(f82,plain,(
% 0.14/0.35 spl0_0 <=> multiply(sk_c8,sk_c9)=sk_c7),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f83,plain,(
% 0.14/0.35 multiply(sk_c8,sk_c9)=sk_c7|~spl0_0),
% 0.14/0.35 inference(component_clause,[status(thm)],[f82])).
% 0.14/0.35 fof(f84,plain,(
% 0.14/0.35 ~multiply(sk_c8,sk_c9)=sk_c7|spl0_0),
% 0.14/0.35 inference(component_clause,[status(thm)],[f82])).
% 0.14/0.35 fof(f85,plain,(
% 0.14/0.35 spl0_1 <=> multiply(sk_c9,sk_c8)=sk_c7),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f86,plain,(
% 0.14/0.35 multiply(sk_c9,sk_c8)=sk_c7|~spl0_1),
% 0.14/0.35 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.35 fof(f87,plain,(
% 0.14/0.35 ~multiply(sk_c9,sk_c8)=sk_c7|spl0_1),
% 0.14/0.35 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.35 fof(f88,plain,(
% 0.14/0.35 spl0_0|spl0_1),
% 0.14/0.35 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.14/0.35 fof(f89,plain,(
% 0.14/0.35 spl0_2 <=> multiply(sk_c4,sk_c9)=sk_c8),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f90,plain,(
% 0.14/0.35 multiply(sk_c4,sk_c9)=sk_c8|~spl0_2),
% 0.14/0.35 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.35 fof(f92,plain,(
% 0.14/0.35 spl0_0|spl0_2),
% 0.14/0.35 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.14/0.35 fof(f93,plain,(
% 0.14/0.35 spl0_3 <=> inverse(sk_c4)=sk_c9),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f94,plain,(
% 0.14/0.35 inverse(sk_c4)=sk_c9|~spl0_3),
% 0.14/0.35 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.35 fof(f96,plain,(
% 0.14/0.35 spl0_0|spl0_3),
% 0.14/0.35 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.14/0.35 fof(f97,plain,(
% 0.14/0.35 spl0_4 <=> multiply(sk_c9,sk_c6)=sk_c8),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f98,plain,(
% 0.14/0.35 multiply(sk_c9,sk_c6)=sk_c8|~spl0_4),
% 0.14/0.35 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.35 fof(f100,plain,(
% 0.14/0.35 spl0_0|spl0_4),
% 0.14/0.35 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.14/0.35 fof(f101,plain,(
% 0.14/0.35 spl0_5 <=> multiply(sk_c5,sk_c9)=sk_c6),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f102,plain,(
% 0.14/0.35 multiply(sk_c5,sk_c9)=sk_c6|~spl0_5),
% 0.14/0.35 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.35 fof(f104,plain,(
% 0.14/0.35 spl0_0|spl0_5),
% 0.14/0.35 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.14/0.35 fof(f105,plain,(
% 0.14/0.35 spl0_6 <=> inverse(sk_c5)=sk_c9),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f106,plain,(
% 0.14/0.35 inverse(sk_c5)=sk_c9|~spl0_6),
% 0.14/0.35 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.35 fof(f108,plain,(
% 0.14/0.35 spl0_0|spl0_6),
% 0.14/0.35 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.14/0.35 fof(f109,plain,(
% 0.14/0.35 spl0_7 <=> multiply(sk_c1,sk_c8)=sk_c9),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f110,plain,(
% 0.14/0.35 multiply(sk_c1,sk_c8)=sk_c9|~spl0_7),
% 0.14/0.35 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.35 fof(f112,plain,(
% 0.14/0.35 spl0_7|spl0_1),
% 0.14/0.35 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.14/0.35 fof(f113,plain,(
% 0.14/0.35 spl0_7|spl0_2),
% 0.14/0.35 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.14/0.35 fof(f114,plain,(
% 0.14/0.35 spl0_7|spl0_3),
% 0.14/0.35 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.14/0.35 fof(f115,plain,(
% 0.14/0.35 spl0_7|spl0_4),
% 0.14/0.35 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.14/0.35 fof(f116,plain,(
% 0.14/0.35 spl0_7|spl0_5),
% 0.14/0.35 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.14/0.35 fof(f117,plain,(
% 0.14/0.35 spl0_7|spl0_6),
% 0.14/0.35 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.14/0.35 fof(f118,plain,(
% 0.14/0.35 spl0_8 <=> inverse(sk_c1)=sk_c8),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f119,plain,(
% 0.14/0.35 inverse(sk_c1)=sk_c8|~spl0_8),
% 0.14/0.35 inference(component_clause,[status(thm)],[f118])).
% 0.14/0.35 fof(f121,plain,(
% 0.14/0.35 spl0_8|spl0_1),
% 0.14/0.35 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.14/0.35 fof(f122,plain,(
% 0.14/0.35 spl0_8|spl0_2),
% 0.14/0.35 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.14/0.35 fof(f123,plain,(
% 0.14/0.35 spl0_8|spl0_3),
% 0.14/0.35 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.14/0.35 fof(f124,plain,(
% 0.14/0.35 spl0_8|spl0_4),
% 0.14/0.35 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.14/0.35 fof(f125,plain,(
% 0.14/0.35 spl0_8|spl0_5),
% 0.14/0.35 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.14/0.35 fof(f126,plain,(
% 0.14/0.35 spl0_8|spl0_6),
% 0.14/0.35 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.14/0.35 fof(f127,plain,(
% 0.14/0.35 spl0_9 <=> multiply(sk_c9,sk_c3)=sk_c8),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f128,plain,(
% 0.14/0.35 multiply(sk_c9,sk_c3)=sk_c8|~spl0_9),
% 0.14/0.35 inference(component_clause,[status(thm)],[f127])).
% 0.14/0.35 fof(f131,plain,(
% 0.14/0.35 spl0_9|spl0_2),
% 0.14/0.35 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.14/0.35 fof(f132,plain,(
% 0.14/0.35 spl0_9|spl0_3),
% 0.14/0.35 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.14/0.35 fof(f136,plain,(
% 0.14/0.35 spl0_10 <=> multiply(sk_c2,sk_c9)=sk_c3),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f137,plain,(
% 0.14/0.35 multiply(sk_c2,sk_c9)=sk_c3|~spl0_10),
% 0.14/0.35 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.35 fof(f140,plain,(
% 0.14/0.35 spl0_10|spl0_2),
% 0.14/0.35 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.14/0.35 fof(f141,plain,(
% 0.14/0.35 spl0_10|spl0_3),
% 0.14/0.35 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.14/0.35 fof(f145,plain,(
% 0.14/0.35 spl0_11 <=> inverse(sk_c2)=sk_c9),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f146,plain,(
% 0.14/0.35 inverse(sk_c2)=sk_c9|~spl0_11),
% 0.14/0.35 inference(component_clause,[status(thm)],[f145])).
% 0.14/0.35 fof(f149,plain,(
% 0.14/0.35 spl0_11|spl0_2),
% 0.14/0.35 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.14/0.35 fof(f150,plain,(
% 0.14/0.35 spl0_11|spl0_3),
% 0.14/0.35 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.14/0.35 fof(f154,plain,(
% 0.14/0.35 spl0_12 <=> ~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f155,plain,(
% 0.14/0.35 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~spl0_12)),
% 0.14/0.35 inference(component_clause,[status(thm)],[f154])).
% 0.14/0.35 fof(f157,plain,(
% 0.14/0.35 spl0_13 <=> ~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f158,plain,(
% 0.14/0.35 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~spl0_13)),
% 0.14/0.35 inference(component_clause,[status(thm)],[f157])).
% 0.14/0.35 fof(f160,plain,(
% 0.14/0.35 spl0_14 <=> ~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f161,plain,(
% 0.14/0.35 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_14)),
% 0.14/0.35 inference(component_clause,[status(thm)],[f160])).
% 0.14/0.35 fof(f163,plain,(
% 0.14/0.35 ~spl0_0|spl0_12|spl0_13|~spl0_1|spl0_14),
% 0.14/0.35 inference(split_clause,[status(thm)],[f81,f82,f154,f157,f85,f160])).
% 0.14/0.35 fof(f168,plain,(
% 0.14/0.35 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.14/0.35 fof(f169,plain,(
% 0.14/0.35 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f41,f168])).
% 0.14/0.35 fof(f170,plain,(
% 0.14/0.35 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f169,f169])).
% 0.14/0.35 fof(f171,plain,(
% 0.14/0.35 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f42,f169])).
% 0.14/0.35 fof(f180,plain,(
% 0.14/0.35 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f169,f170])).
% 0.14/0.35 fof(f181,plain,(
% 0.14/0.35 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f42,f170])).
% 0.14/0.35 fof(f190,plain,(
% 0.14/0.35 inverse(identity)=identity),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f41,f181])).
% 0.14/0.35 fof(f209,plain,(
% 0.14/0.35 ![X0]: (X0=multiply(X0,identity))),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f170,f171])).
% 0.14/0.35 fof(f210,plain,(
% 0.14/0.35 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f170,f209])).
% 0.14/0.35 fof(f211,plain,(
% 0.14/0.35 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f209,f210])).
% 0.14/0.35 fof(f642,plain,(
% 0.14/0.35 multiply(sk_c1,sk_c8)=identity|~spl0_8),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f119,f181])).
% 0.14/0.35 fof(f646,plain,(
% 0.14/0.35 inverse(sk_c9)=sk_c5|~spl0_6),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f106,f211])).
% 0.14/0.35 fof(f647,plain,(
% 0.14/0.35 multiply(sk_c5,sk_c9)=identity|~spl0_6),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f106,f181])).
% 0.14/0.35 fof(f651,plain,(
% 0.14/0.35 inverse(sk_c9)=sk_c4|~spl0_3),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f94,f211])).
% 0.14/0.35 fof(f668,plain,(
% 0.14/0.35 sk_c9=multiply(inverse(sk_c2),sk_c3)|~spl0_10),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f137,f169])).
% 0.14/0.35 fof(f669,plain,(
% 0.14/0.35 sk_c9=multiply(sk_c9,sk_c3)|~spl0_11|~spl0_10),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f146,f668])).
% 0.14/0.35 fof(f682,plain,(
% 0.14/0.35 multiply(sk_c9,sk_c4)=identity|~spl0_3),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f651,f181])).
% 0.14/0.35 fof(f745,plain,(
% 0.14/0.35 spl0_15 <=> identity=sk_c8),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f748,plain,(
% 0.14/0.35 spl0_16 <=> inverse(inverse(sk_c9))=sk_c9),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f750,plain,(
% 0.14/0.35 ~inverse(inverse(sk_c9))=sk_c9|spl0_16),
% 0.14/0.35 inference(component_clause,[status(thm)],[f748])).
% 0.14/0.35 fof(f751,plain,(
% 0.14/0.35 ~identity=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~spl0_14),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f42,f161])).
% 0.14/0.35 fof(f752,plain,(
% 0.14/0.35 ~spl0_15|~spl0_16|~spl0_14),
% 0.14/0.35 inference(split_clause,[status(thm)],[f751,f745,f748,f160])).
% 0.14/0.35 fof(f753,plain,(
% 0.14/0.35 spl0_17 <=> sk_c9=sk_c8),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f754,plain,(
% 0.14/0.35 sk_c9=sk_c8|~spl0_17),
% 0.14/0.35 inference(component_clause,[status(thm)],[f753])).
% 0.14/0.35 fof(f755,plain,(
% 0.14/0.35 ~sk_c9=sk_c8|spl0_17),
% 0.14/0.35 inference(component_clause,[status(thm)],[f753])).
% 0.14/0.35 fof(f756,plain,(
% 0.14/0.35 spl0_18 <=> inverse(identity)=sk_c9),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f757,plain,(
% 0.14/0.35 inverse(identity)=sk_c9|~spl0_18),
% 0.14/0.35 inference(component_clause,[status(thm)],[f756])).
% 0.14/0.35 fof(f758,plain,(
% 0.14/0.35 ~inverse(identity)=sk_c9|spl0_18),
% 0.14/0.35 inference(component_clause,[status(thm)],[f756])).
% 0.14/0.35 fof(f759,plain,(
% 0.14/0.35 ~sk_c9=sk_c8|~inverse(identity)=sk_c9|~spl0_14),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f41,f161])).
% 0.14/0.35 fof(f760,plain,(
% 0.14/0.35 ~spl0_17|~spl0_18|~spl0_14),
% 0.14/0.35 inference(split_clause,[status(thm)],[f759,f753,f756,f160])).
% 0.14/0.35 fof(f762,plain,(
% 0.14/0.35 ~identity=sk_c9|spl0_18),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f190,f758])).
% 0.14/0.35 fof(f763,plain,(
% 0.14/0.35 ~sk_c9=sk_c9|spl0_16),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f211,f750])).
% 0.14/0.35 fof(f764,plain,(
% 0.14/0.35 $false|spl0_16),
% 0.14/0.35 inference(trivial_equality_resolution,[status(esa)],[f763])).
% 0.14/0.35 fof(f765,plain,(
% 0.14/0.35 spl0_16),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f764])).
% 0.14/0.35 fof(f766,plain,(
% 0.14/0.35 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~spl0_13)),
% 0.14/0.35 inference(destructive_equality_resolution,[status(esa)],[f158])).
% 0.14/0.35 fof(f822,plain,(
% 0.14/0.35 sk_c9=identity|~spl0_7|~spl0_8),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f110,f642])).
% 0.14/0.35 fof(f823,plain,(
% 0.14/0.35 $false|spl0_18|~spl0_7|~spl0_8),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f822,f762])).
% 0.14/0.35 fof(f824,plain,(
% 0.14/0.35 spl0_18|~spl0_7|~spl0_8),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f823])).
% 0.14/0.35 fof(f850,plain,(
% 0.14/0.35 sk_c9=sk_c8|~spl0_9|~spl0_11|~spl0_10),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f128,f669])).
% 0.14/0.35 fof(f851,plain,(
% 0.14/0.35 $false|spl0_17|~spl0_9|~spl0_11|~spl0_10),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f850,f755])).
% 0.14/0.35 fof(f852,plain,(
% 0.14/0.35 spl0_17|~spl0_9|~spl0_11|~spl0_10),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f851])).
% 0.14/0.35 fof(f872,plain,(
% 0.14/0.35 sk_c4=sk_c5|~spl0_3|~spl0_6),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f651,f646])).
% 0.14/0.35 fof(f1710,plain,(
% 0.14/0.35 ~sk_c9=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~spl0_13),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f180,f766])).
% 0.14/0.35 fof(f1711,plain,(
% 0.14/0.35 ~spl0_17|~spl0_16|~spl0_13),
% 0.14/0.35 inference(split_clause,[status(thm)],[f1710,f753,f748,f157])).
% 0.14/0.35 fof(f1714,plain,(
% 0.14/0.35 spl0_19 <=> multiply(sk_c9,identity)=sk_c8),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f1715,plain,(
% 0.14/0.35 multiply(sk_c9,identity)=sk_c8|~spl0_19),
% 0.14/0.35 inference(component_clause,[status(thm)],[f1714])).
% 0.14/0.35 fof(f1716,plain,(
% 0.14/0.35 ~multiply(sk_c9,identity)=sk_c8|spl0_19),
% 0.14/0.35 inference(component_clause,[status(thm)],[f1714])).
% 0.14/0.35 fof(f1719,plain,(
% 0.14/0.35 spl0_20 <=> multiply(sk_c9,sk_c9)=sk_c8),
% 0.14/0.35 introduced(split_symbol_definition)).
% 0.14/0.35 fof(f1722,plain,(
% 0.14/0.35 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(identity)=sk_c9|~spl0_13),
% 0.14/0.35 inference(paramodulation,[status(thm)],[f41,f766])).
% 0.14/0.35 fof(f1723,plain,(
% 0.14/0.35 ~spl0_20|~spl0_18|~spl0_13),
% 0.14/0.35 inference(split_clause,[status(thm)],[f1722,f1719,f756,f157])).
% 0.14/0.35 fof(f1725,plain,(
% 0.14/0.35 ~sk_c9=sk_c8|spl0_19),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f209,f1716])).
% 0.14/0.35 fof(f1726,plain,(
% 0.14/0.35 identity=sk_c9|~spl0_18),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f190,f757])).
% 0.14/0.35 fof(f1741,plain,(
% 0.14/0.35 ~identity=sk_c8|~spl0_18|spl0_19),
% 0.14/0.35 inference(backward_demodulation,[status(thm)],[f1726,f1725])).
% 0.14/0.35 fof(f1748,plain,(
% 0.14/0.35 multiply(identity,sk_c4)=identity|~spl0_18|~spl0_3),
% 0.14/0.35 inference(backward_demodulation,[status(thm)],[f1726,f682])).
% 0.14/0.35 fof(f1749,plain,(
% 0.14/0.35 sk_c4=identity|~spl0_18|~spl0_3),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f41,f1748])).
% 0.14/0.35 fof(f1756,plain,(
% 0.14/0.35 multiply(identity,sk_c8)=sk_c7|~spl0_18|~spl0_1),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f1726,f86])).
% 0.14/0.35 fof(f1757,plain,(
% 0.14/0.35 sk_c8=sk_c7|~spl0_18|~spl0_1),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f41,f1756])).
% 0.14/0.35 fof(f1803,plain,(
% 0.14/0.35 multiply(identity,sk_c9)=sk_c8|~spl0_18|~spl0_3|~spl0_2),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f1749,f90])).
% 0.14/0.35 fof(f1804,plain,(
% 0.14/0.35 sk_c9=sk_c8|~spl0_18|~spl0_3|~spl0_2),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f41,f1803])).
% 0.14/0.35 fof(f1805,plain,(
% 0.14/0.35 identity=sk_c8|~spl0_18|~spl0_3|~spl0_2),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f1726,f1804])).
% 0.14/0.35 fof(f1806,plain,(
% 0.14/0.35 $false|spl0_19|~spl0_18|~spl0_3|~spl0_2),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f1805,f1741])).
% 0.14/0.35 fof(f1807,plain,(
% 0.14/0.35 spl0_19|~spl0_18|~spl0_3|~spl0_2),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f1806])).
% 0.14/0.35 fof(f1810,plain,(
% 0.14/0.35 sk_c9=sk_c8|~spl0_19),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f209,f1715])).
% 0.14/0.35 fof(f2451,plain,(
% 0.14/0.35 ~multiply(identity,sk_c8)=sk_c7|~spl0_18|spl0_1),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f1726,f87])).
% 0.14/0.35 fof(f2452,plain,(
% 0.14/0.35 ~sk_c8=sk_c7|~spl0_18|spl0_1),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f41,f2451])).
% 0.14/0.35 fof(f2531,plain,(
% 0.14/0.35 identity=sk_c8|~spl0_18|~spl0_17),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f1726,f754])).
% 0.14/0.35 fof(f2532,plain,(
% 0.14/0.35 multiply(sk_c8,identity)=sk_c7|~spl0_18|~spl0_0),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f1726,f83])).
% 0.14/0.35 fof(f2533,plain,(
% 0.14/0.35 sk_c8=sk_c7|~spl0_18|~spl0_0),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f209,f2532])).
% 0.14/0.35 fof(f2534,plain,(
% 0.14/0.35 $false|spl0_1|~spl0_18|~spl0_0),
% 0.14/0.35 inference(forward_subsumption_resolution,[status(thm)],[f2533,f2452])).
% 0.14/0.35 fof(f2535,plain,(
% 0.14/0.35 spl0_1|~spl0_18|~spl0_0),
% 0.14/0.35 inference(contradiction_clause,[status(thm)],[f2534])).
% 0.14/0.35 fof(f2560,plain,(
% 0.14/0.35 multiply(sk_c4,sk_c9)=identity|~spl0_3|~spl0_6),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f872,f647])).
% 0.14/0.35 fof(f2581,plain,(
% 0.14/0.35 identity=sk_c8|~spl0_3|~spl0_6|~spl0_2),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f2560,f90])).
% 0.14/0.35 fof(f2582,plain,(
% 0.14/0.35 multiply(sk_c4,sk_c9)=sk_c6|~spl0_3|~spl0_6|~spl0_5),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f872,f102])).
% 0.14/0.35 fof(f2583,plain,(
% 0.14/0.35 identity=sk_c6|~spl0_3|~spl0_6|~spl0_5),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f2560,f2582])).
% 0.14/0.35 fof(f2584,plain,(
% 0.14/0.35 multiply(sk_c9,identity)=sk_c8|~spl0_3|~spl0_6|~spl0_5|~spl0_4),
% 0.14/0.35 inference(forward_demodulation,[status(thm)],[f2583,f98])).
% 0.14/0.35 fof(f2585,plain,(
% 0.14/0.36 sk_c9=sk_c8|~spl0_3|~spl0_6|~spl0_5|~spl0_4),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f209,f2584])).
% 0.14/0.36 fof(f2586,plain,(
% 0.14/0.36 sk_c9=identity|~spl0_2|~spl0_3|~spl0_6|~spl0_5|~spl0_4),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f2581,f2585])).
% 0.14/0.36 fof(f2587,plain,(
% 0.14/0.36 $false|spl0_18|~spl0_2|~spl0_3|~spl0_6|~spl0_5|~spl0_4),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f2586,f762])).
% 0.14/0.36 fof(f2588,plain,(
% 0.14/0.36 spl0_18|~spl0_2|~spl0_3|~spl0_6|~spl0_5|~spl0_4),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f2587])).
% 0.14/0.36 fof(f2603,plain,(
% 0.14/0.36 identity=sk_c7|~spl0_3|~spl0_6|~spl0_2|~spl0_18|~spl0_1),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f2581,f1757])).
% 0.14/0.36 fof(f2616,plain,(
% 0.14/0.36 ~multiply(identity,sk_c9)=sk_c7|~spl0_3|~spl0_6|~spl0_2|spl0_0),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f2581,f84])).
% 0.14/0.36 fof(f2617,plain,(
% 0.14/0.36 ~sk_c9=sk_c7|~spl0_3|~spl0_6|~spl0_2|spl0_0),
% 0.14/0.36 inference(forward_demodulation,[status(thm)],[f41,f2616])).
% 0.14/0.36 fof(f2618,plain,(
% 0.14/0.36 ~identity=sk_c7|~spl0_5|~spl0_4|~spl0_3|~spl0_6|~spl0_2|spl0_0),
% 0.21/0.59 inference(forward_demodulation,[status(thm)],[f2586,f2617])).
% 0.21/0.59 fof(f2619,plain,(
% 0.21/0.59 ~identity=identity|~spl0_18|~spl0_1|~spl0_5|~spl0_4|~spl0_3|~spl0_6|~spl0_2|spl0_0),
% 0.21/0.59 inference(forward_demodulation,[status(thm)],[f2603,f2618])).
% 0.21/0.59 fof(f2620,plain,(
% 0.21/0.59 $false|~spl0_18|~spl0_1|~spl0_5|~spl0_4|~spl0_3|~spl0_6|~spl0_2|spl0_0),
% 0.21/0.59 inference(trivial_equality_resolution,[status(esa)],[f2619])).
% 0.21/0.59 fof(f2621,plain,(
% 0.21/0.59 ~spl0_18|~spl0_1|~spl0_5|~spl0_4|~spl0_3|~spl0_6|~spl0_2|spl0_0),
% 0.21/0.59 inference(contradiction_clause,[status(thm)],[f2620])).
% 0.21/0.59 fof(f2645,plain,(
% 0.21/0.59 spl0_21 <=> identity=sk_c9),
% 0.21/0.59 introduced(split_symbol_definition)).
% 0.21/0.59 fof(f2648,plain,(
% 0.21/0.59 spl0_22 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.21/0.59 introduced(split_symbol_definition)).
% 0.21/0.59 fof(f2650,plain,(
% 0.21/0.59 ~inverse(inverse(sk_c8))=sk_c8|spl0_22),
% 0.21/0.59 inference(component_clause,[status(thm)],[f2648])).
% 0.21/0.59 fof(f2651,plain,(
% 0.21/0.59 ~identity=sk_c9|~inverse(inverse(sk_c8))=sk_c8|~spl0_12),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f42,f155])).
% 0.21/0.59 fof(f2652,plain,(
% 0.21/0.59 ~spl0_21|~spl0_22|~spl0_12),
% 0.21/0.59 inference(split_clause,[status(thm)],[f2651,f2645,f2648,f154])).
% 0.21/0.59 fof(f2653,plain,(
% 0.21/0.59 spl0_23 <=> inverse(identity)=sk_c8),
% 0.21/0.59 introduced(split_symbol_definition)).
% 0.21/0.59 fof(f2655,plain,(
% 0.21/0.59 ~inverse(identity)=sk_c8|spl0_23),
% 0.21/0.59 inference(component_clause,[status(thm)],[f2653])).
% 0.21/0.59 fof(f2656,plain,(
% 0.21/0.59 ~sk_c8=sk_c9|~inverse(identity)=sk_c8|~spl0_12),
% 0.21/0.59 inference(paramodulation,[status(thm)],[f41,f155])).
% 0.21/0.59 fof(f2657,plain,(
% 0.21/0.59 ~spl0_17|~spl0_23|~spl0_12),
% 0.21/0.59 inference(split_clause,[status(thm)],[f2656,f753,f2653,f154])).
% 0.21/0.59 fof(f2659,plain,(
% 0.21/0.59 ~identity=sk_c8|spl0_23),
% 0.21/0.59 inference(forward_demodulation,[status(thm)],[f190,f2655])).
% 0.21/0.59 fof(f2660,plain,(
% 0.21/0.59 ~sk_c8=sk_c8|spl0_22),
% 0.21/0.59 inference(forward_demodulation,[status(thm)],[f211,f2650])).
% 0.21/0.59 fof(f2661,plain,(
% 0.21/0.59 $false|spl0_22),
% 0.21/0.59 inference(trivial_equality_resolution,[status(esa)],[f2660])).
% 0.21/0.59 fof(f2662,plain,(
% 0.21/0.59 spl0_22),
% 0.21/0.59 inference(contradiction_clause,[status(thm)],[f2661])).
% 0.21/0.59 fof(f3012,plain,(
% 0.21/0.59 ~identity=identity|~spl0_18|~spl0_17|spl0_23),
% 0.21/0.59 inference(forward_demodulation,[status(thm)],[f2531,f2659])).
% 0.21/0.59 fof(f3013,plain,(
% 0.21/0.59 $false|~spl0_18|~spl0_17|spl0_23),
% 0.21/0.59 inference(trivial_equality_resolution,[status(esa)],[f3012])).
% 0.21/0.59 fof(f3014,plain,(
% 0.21/0.59 ~spl0_18|~spl0_17|spl0_23),
% 0.21/0.59 inference(contradiction_clause,[status(thm)],[f3013])).
% 0.21/0.59 fof(f3015,plain,(
% 0.21/0.59 spl0_17|~spl0_19),
% 0.21/0.59 inference(split_clause,[status(thm)],[f1810,f753,f1714])).
% 0.21/0.59 fof(f3016,plain,(
% 0.21/0.59 $false),
% 0.21/0.59 inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f125,f126,f131,f132,f140,f141,f149,f150,f163,f752,f760,f765,f824,f852,f1711,f1723,f1807,f2535,f2588,f2621,f2652,f2657,f2662,f3014,f3015])).
% 0.21/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.59 % Elapsed time: 0.060009 seconds
% 0.21/0.59 % CPU time: 0.145484 seconds
% 0.21/0.59 % Memory used: 22.607 MB
%------------------------------------------------------------------------------