TSTP Solution File: GRP250-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP250-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:11:06 EDT 2023
% Result : Unsatisfiable 0.10s 0.30s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP250-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n022.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 11:25:42 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.10/0.30 % Refutation found
% 0.10/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.30 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.30 fof(f1,axiom,(
% 0.10/0.30 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f2,axiom,(
% 0.10/0.30 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f3,axiom,(
% 0.10/0.30 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f4,negated_conjecture,(
% 0.10/0.30 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f5,negated_conjecture,(
% 0.10/0.30 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f10,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f11,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f12,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f13,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f14,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f15,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f16,negated_conjecture,(
% 0.10/0.30 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f17,negated_conjecture,(
% 0.10/0.30 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f18,negated_conjecture,(
% 0.10/0.30 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f19,negated_conjecture,(
% 0.10/0.30 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f22,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f23,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f24,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f25,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f26,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c2) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f27,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f28,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c3) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f29,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c3) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f30,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f31,negated_conjecture,(
% 0.10/0.30 ( inverse(sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f34,negated_conjecture,(
% 0.10/0.30 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f35,negated_conjecture,(
% 0.10/0.30 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f36,negated_conjecture,(
% 0.10/0.30 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f37,negated_conjecture,(
% 0.10/0.30 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f40,negated_conjecture,(
% 0.10/0.30 (![X4,X5,X6,X1,X2,X3]: (( multiply(X4,sk_c9) != sk_c8| inverse(X4) != sk_c9| multiply(X5,sk_c8) != sk_c7| inverse(X5) != sk_c8| inverse(X6) != sk_c8| multiply(X6,sk_c7) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| inverse(X3) != sk_c7| multiply(X3,sk_c8) != sk_c7 ) ))),
% 0.10/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.30 fof(f41,plain,(
% 0.10/0.30 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f1])).
% 0.10/0.30 fof(f42,plain,(
% 0.10/0.30 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f2])).
% 0.10/0.30 fof(f43,plain,(
% 0.10/0.30 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f3])).
% 0.10/0.30 fof(f44,plain,(
% 0.10/0.30 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f4])).
% 0.10/0.30 fof(f45,plain,(
% 0.10/0.30 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f5])).
% 0.10/0.30 fof(f50,plain,(
% 0.10/0.30 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f10])).
% 0.10/0.30 fof(f51,plain,(
% 0.10/0.30 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f11])).
% 0.10/0.30 fof(f52,plain,(
% 0.10/0.30 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f12])).
% 0.10/0.30 fof(f53,plain,(
% 0.10/0.30 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f13])).
% 0.10/0.30 fof(f54,plain,(
% 0.10/0.30 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f14])).
% 0.10/0.30 fof(f55,plain,(
% 0.10/0.30 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f15])).
% 0.10/0.30 fof(f56,plain,(
% 0.10/0.30 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f16])).
% 0.10/0.30 fof(f57,plain,(
% 0.10/0.30 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c4)=sk_c9),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f17])).
% 0.10/0.30 fof(f58,plain,(
% 0.10/0.30 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f18])).
% 0.10/0.30 fof(f59,plain,(
% 0.10/0.30 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f19])).
% 0.10/0.30 fof(f62,plain,(
% 0.10/0.30 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f22])).
% 0.10/0.30 fof(f63,plain,(
% 0.10/0.30 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f23])).
% 0.10/0.30 fof(f64,plain,(
% 0.10/0.30 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f24])).
% 0.10/0.30 fof(f65,plain,(
% 0.10/0.30 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f25])).
% 0.10/0.30 fof(f66,plain,(
% 0.10/0.30 inverse(sk_c2)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f26])).
% 0.10/0.30 fof(f67,plain,(
% 0.10/0.30 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f27])).
% 0.10/0.30 fof(f68,plain,(
% 0.10/0.30 inverse(sk_c3)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f28])).
% 0.10/0.30 fof(f69,plain,(
% 0.10/0.30 inverse(sk_c3)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f29])).
% 0.10/0.30 fof(f70,plain,(
% 0.10/0.30 inverse(sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f30])).
% 0.10/0.30 fof(f71,plain,(
% 0.10/0.30 inverse(sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f31])).
% 0.10/0.30 fof(f74,plain,(
% 0.10/0.30 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f34])).
% 0.10/0.30 fof(f75,plain,(
% 0.10/0.30 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f35])).
% 0.10/0.30 fof(f76,plain,(
% 0.10/0.30 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f36])).
% 0.10/0.30 fof(f77,plain,(
% 0.10/0.30 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f37])).
% 0.10/0.30 fof(f80,plain,(
% 0.10/0.30 ![X3]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c9)=sk_c8|~inverse(X4)=sk_c9))|~multiply(X5,sk_c8)=sk_c7)|~inverse(X5)=sk_c8))|~inverse(X6)=sk_c8)|~multiply(X6,sk_c7)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~inverse(X3)=sk_c7)|~multiply(X3,sk_c8)=sk_c7)),
% 0.10/0.30 inference(miniscoping,[status(esa)],[f40])).
% 0.10/0.30 fof(f81,plain,(
% 0.10/0.30 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9|~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8|~inverse(X5)=sk_c7|~multiply(X5,sk_c8)=sk_c7)),
% 0.10/0.30 inference(cnf_transformation,[status(esa)],[f80])).
% 0.10/0.30 fof(f82,plain,(
% 0.10/0.30 spl0_0 <=> multiply(sk_c1,sk_c9)=sk_c8),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f83,plain,(
% 0.10/0.30 multiply(sk_c1,sk_c9)=sk_c8|~spl0_0),
% 0.10/0.30 inference(component_clause,[status(thm)],[f82])).
% 0.10/0.30 fof(f85,plain,(
% 0.10/0.30 spl0_1 <=> multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f86,plain,(
% 0.10/0.30 multiply(sk_c4,sk_c9)=sk_c8|~spl0_1),
% 0.10/0.30 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.30 fof(f88,plain,(
% 0.10/0.30 spl0_0|spl0_1),
% 0.10/0.30 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.10/0.30 fof(f89,plain,(
% 0.10/0.30 spl0_2 <=> inverse(sk_c4)=sk_c9),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f90,plain,(
% 0.10/0.30 inverse(sk_c4)=sk_c9|~spl0_2),
% 0.10/0.30 inference(component_clause,[status(thm)],[f89])).
% 0.10/0.30 fof(f92,plain,(
% 0.10/0.30 spl0_0|spl0_2),
% 0.10/0.30 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.10/0.30 fof(f93,plain,(
% 0.10/0.30 spl0_3 <=> multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f94,plain,(
% 0.10/0.30 multiply(sk_c5,sk_c8)=sk_c7|~spl0_3),
% 0.10/0.30 inference(component_clause,[status(thm)],[f93])).
% 0.10/0.30 fof(f97,plain,(
% 0.10/0.30 spl0_4 <=> inverse(sk_c5)=sk_c8),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f98,plain,(
% 0.10/0.30 inverse(sk_c5)=sk_c8|~spl0_4),
% 0.10/0.30 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.30 fof(f101,plain,(
% 0.10/0.30 spl0_5 <=> inverse(sk_c6)=sk_c7),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f102,plain,(
% 0.10/0.30 inverse(sk_c6)=sk_c7|~spl0_5),
% 0.10/0.30 inference(component_clause,[status(thm)],[f101])).
% 0.10/0.30 fof(f105,plain,(
% 0.10/0.30 spl0_6 <=> multiply(sk_c6,sk_c8)=sk_c7),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f106,plain,(
% 0.10/0.30 multiply(sk_c6,sk_c8)=sk_c7|~spl0_6),
% 0.10/0.30 inference(component_clause,[status(thm)],[f105])).
% 0.10/0.30 fof(f109,plain,(
% 0.10/0.30 spl0_7 <=> inverse(sk_c1)=sk_c9),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f110,plain,(
% 0.10/0.30 inverse(sk_c1)=sk_c9|~spl0_7),
% 0.10/0.30 inference(component_clause,[status(thm)],[f109])).
% 0.10/0.30 fof(f111,plain,(
% 0.10/0.30 ~inverse(sk_c1)=sk_c9|spl0_7),
% 0.10/0.30 inference(component_clause,[status(thm)],[f109])).
% 0.10/0.30 fof(f112,plain,(
% 0.10/0.30 spl0_7|spl0_1),
% 0.10/0.30 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.10/0.30 fof(f113,plain,(
% 0.10/0.30 spl0_7|spl0_2),
% 0.10/0.30 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.10/0.30 fof(f114,plain,(
% 0.10/0.30 spl0_7|spl0_3),
% 0.10/0.30 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.10/0.30 fof(f115,plain,(
% 0.10/0.30 spl0_7|spl0_4),
% 0.10/0.30 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.10/0.30 fof(f116,plain,(
% 0.10/0.30 spl0_7|spl0_5),
% 0.10/0.30 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.10/0.30 fof(f117,plain,(
% 0.10/0.30 spl0_7|spl0_6),
% 0.10/0.30 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.10/0.30 fof(f118,plain,(
% 0.10/0.30 spl0_8 <=> multiply(sk_c2,sk_c8)=sk_c7),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f119,plain,(
% 0.10/0.30 multiply(sk_c2,sk_c8)=sk_c7|~spl0_8),
% 0.10/0.30 inference(component_clause,[status(thm)],[f118])).
% 0.10/0.30 fof(f120,plain,(
% 0.10/0.30 ~multiply(sk_c2,sk_c8)=sk_c7|spl0_8),
% 0.10/0.30 inference(component_clause,[status(thm)],[f118])).
% 0.10/0.30 fof(f121,plain,(
% 0.10/0.30 spl0_8|spl0_1),
% 0.10/0.30 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.10/0.30 fof(f122,plain,(
% 0.10/0.30 spl0_8|spl0_2),
% 0.10/0.30 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.10/0.30 fof(f123,plain,(
% 0.10/0.30 spl0_8|spl0_3),
% 0.10/0.30 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.10/0.30 fof(f124,plain,(
% 0.10/0.30 spl0_8|spl0_4),
% 0.10/0.30 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.10/0.30 fof(f127,plain,(
% 0.10/0.30 spl0_9 <=> inverse(sk_c2)=sk_c8),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f128,plain,(
% 0.10/0.30 inverse(sk_c2)=sk_c8|~spl0_9),
% 0.10/0.30 inference(component_clause,[status(thm)],[f127])).
% 0.10/0.30 fof(f129,plain,(
% 0.10/0.30 ~inverse(sk_c2)=sk_c8|spl0_9),
% 0.10/0.30 inference(component_clause,[status(thm)],[f127])).
% 0.10/0.30 fof(f130,plain,(
% 0.10/0.30 spl0_9|spl0_1),
% 0.10/0.30 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.10/0.30 fof(f131,plain,(
% 0.10/0.30 spl0_9|spl0_2),
% 0.10/0.30 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.10/0.30 fof(f132,plain,(
% 0.10/0.30 spl0_9|spl0_3),
% 0.10/0.30 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.10/0.30 fof(f133,plain,(
% 0.10/0.30 spl0_9|spl0_4),
% 0.10/0.30 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.10/0.30 fof(f134,plain,(
% 0.10/0.30 spl0_9|spl0_5),
% 0.10/0.30 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.10/0.30 fof(f135,plain,(
% 0.10/0.30 spl0_9|spl0_6),
% 0.10/0.30 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.10/0.30 fof(f136,plain,(
% 0.10/0.30 spl0_10 <=> inverse(sk_c3)=sk_c8),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f137,plain,(
% 0.10/0.30 inverse(sk_c3)=sk_c8|~spl0_10),
% 0.10/0.30 inference(component_clause,[status(thm)],[f136])).
% 0.10/0.30 fof(f139,plain,(
% 0.10/0.30 spl0_10|spl0_1),
% 0.10/0.30 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.10/0.30 fof(f140,plain,(
% 0.10/0.30 spl0_10|spl0_2),
% 0.10/0.30 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.10/0.30 fof(f141,plain,(
% 0.10/0.30 spl0_10|spl0_3),
% 0.10/0.30 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.10/0.30 fof(f142,plain,(
% 0.10/0.30 spl0_10|spl0_4),
% 0.10/0.30 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.10/0.30 fof(f145,plain,(
% 0.10/0.30 spl0_11 <=> multiply(sk_c3,sk_c7)=sk_c8),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f146,plain,(
% 0.10/0.30 multiply(sk_c3,sk_c7)=sk_c8|~spl0_11),
% 0.10/0.30 inference(component_clause,[status(thm)],[f145])).
% 0.10/0.30 fof(f148,plain,(
% 0.10/0.30 spl0_11|spl0_1),
% 0.10/0.30 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.10/0.30 fof(f149,plain,(
% 0.10/0.30 spl0_11|spl0_2),
% 0.10/0.30 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.10/0.30 fof(f150,plain,(
% 0.10/0.30 spl0_11|spl0_3),
% 0.10/0.30 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.10/0.30 fof(f151,plain,(
% 0.10/0.30 spl0_11|spl0_4),
% 0.10/0.30 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.10/0.30 fof(f154,plain,(
% 0.10/0.30 spl0_12 <=> ~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f155,plain,(
% 0.10/0.30 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_12)),
% 0.10/0.30 inference(component_clause,[status(thm)],[f154])).
% 0.10/0.30 fof(f157,plain,(
% 0.10/0.30 spl0_13 <=> ~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f158,plain,(
% 0.10/0.30 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.10/0.30 inference(component_clause,[status(thm)],[f157])).
% 0.10/0.30 fof(f160,plain,(
% 0.10/0.30 spl0_14 <=> ~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f161,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_14)),
% 0.10/0.30 inference(component_clause,[status(thm)],[f160])).
% 0.10/0.30 fof(f163,plain,(
% 0.10/0.30 spl0_15 <=> ~inverse(X5)=sk_c7|~multiply(X5,sk_c8)=sk_c7),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f164,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c8)=sk_c7|~spl0_15)),
% 0.10/0.30 inference(component_clause,[status(thm)],[f163])).
% 0.10/0.30 fof(f166,plain,(
% 0.10/0.30 spl0_12|spl0_13|spl0_14|spl0_15),
% 0.10/0.30 inference(split_clause,[status(thm)],[f81,f154,f157,f160,f163])).
% 0.10/0.30 fof(f171,plain,(
% 0.10/0.30 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.10/0.30 fof(f172,plain,(
% 0.10/0.30 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f41,f171])).
% 0.10/0.30 fof(f173,plain,(
% 0.10/0.30 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f172,f172])).
% 0.10/0.30 fof(f174,plain,(
% 0.10/0.30 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f42,f172])).
% 0.10/0.30 fof(f176,plain,(
% 0.10/0.30 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f43,f172])).
% 0.10/0.30 fof(f184,plain,(
% 0.10/0.30 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f42,f173])).
% 0.10/0.30 fof(f193,plain,(
% 0.10/0.30 inverse(identity)=identity),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f41,f184])).
% 0.10/0.30 fof(f212,plain,(
% 0.10/0.30 ![X0]: (X0=multiply(X0,identity))),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f173,f174])).
% 0.10/0.30 fof(f213,plain,(
% 0.10/0.30 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f173,f212])).
% 0.10/0.30 fof(f214,plain,(
% 0.10/0.30 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f213])).
% 0.10/0.30 fof(f265,plain,(
% 0.10/0.30 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f184,f176])).
% 0.10/0.30 fof(f266,plain,(
% 0.10/0.30 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f265])).
% 0.10/0.30 fof(f361,plain,(
% 0.10/0.30 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f266,f266])).
% 0.10/0.30 fof(f362,plain,(
% 0.10/0.30 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f214,f361])).
% 0.10/0.30 fof(f639,plain,(
% 0.10/0.30 inverse(sk_c8)=sk_c3|~spl0_10),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f137,f214])).
% 0.10/0.30 fof(f640,plain,(
% 0.10/0.30 multiply(sk_c3,sk_c8)=identity|~spl0_10),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f137,f184])).
% 0.10/0.30 fof(f644,plain,(
% 0.10/0.30 inverse(sk_c8)=sk_c2|~spl0_9),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f128,f214])).
% 0.10/0.30 fof(f645,plain,(
% 0.10/0.30 multiply(sk_c2,sk_c8)=identity|~spl0_9),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f128,f184])).
% 0.10/0.30 fof(f647,plain,(
% 0.10/0.30 multiply(sk_c8,sk_c2)=identity|~spl0_9),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f128,f42])).
% 0.10/0.30 fof(f649,plain,(
% 0.10/0.30 inverse(sk_c9)=sk_c1|~spl0_7),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f110,f214])).
% 0.10/0.30 fof(f650,plain,(
% 0.10/0.30 multiply(sk_c1,sk_c9)=identity|~spl0_7),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f110,f184])).
% 0.10/0.30 fof(f654,plain,(
% 0.10/0.30 inverse(sk_c7)=sk_c6|~spl0_5),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f102,f214])).
% 0.10/0.30 fof(f659,plain,(
% 0.10/0.30 inverse(sk_c8)=sk_c5|~spl0_4),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f98,f214])).
% 0.10/0.30 fof(f674,plain,(
% 0.10/0.30 inverse(sk_c9)=sk_c4|~spl0_2),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f90,f214])).
% 0.10/0.30 fof(f675,plain,(
% 0.10/0.30 multiply(sk_c4,sk_c9)=identity|~spl0_2),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f90,f184])).
% 0.10/0.30 fof(f683,plain,(
% 0.10/0.30 sk_c3=sk_c2|~spl0_10|~spl0_9),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f639,f644])).
% 0.10/0.30 fof(f684,plain,(
% 0.10/0.30 inverse(sk_c8)=sk_c2|~spl0_9|~spl0_10),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f683,f639])).
% 0.10/0.30 fof(f685,plain,(
% 0.10/0.30 multiply(sk_c2,sk_c7)=sk_c8|~spl0_10|~spl0_9|~spl0_11),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f683,f146])).
% 0.10/0.30 fof(f702,plain,(
% 0.10/0.30 sk_c1=sk_c4|~spl0_7|~spl0_2),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f649,f674])).
% 0.10/0.30 fof(f704,plain,(
% 0.10/0.30 sk_c5=sk_c2|~spl0_4|~spl0_9|~spl0_10),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f659,f684])).
% 0.10/0.30 fof(f705,plain,(
% 0.10/0.30 sk_c3=sk_c5|~spl0_4|~spl0_10|~spl0_9),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f704,f683])).
% 0.10/0.30 fof(f707,plain,(
% 0.10/0.30 multiply(sk_c5,sk_c8)=sk_c7|~spl0_4|~spl0_9|~spl0_10|~spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f704,f119])).
% 0.10/0.30 fof(f738,plain,(
% 0.10/0.30 inverse(sk_c6)=multiply(sk_c8,inverse(sk_c7))|~spl0_6),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f106,f362])).
% 0.10/0.30 fof(f739,plain,(
% 0.10/0.30 sk_c7=multiply(sk_c8,inverse(sk_c7))|~spl0_5|~spl0_6),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f102,f738])).
% 0.10/0.30 fof(f740,plain,(
% 0.10/0.30 sk_c7=multiply(sk_c8,sk_c6)|~spl0_5|~spl0_6),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f654,f739])).
% 0.10/0.30 fof(f750,plain,(
% 0.10/0.30 multiply(sk_c1,sk_c9)=sk_c8|~spl0_7|~spl0_2|~spl0_1),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f702,f86])).
% 0.10/0.30 fof(f751,plain,(
% 0.10/0.30 multiply(sk_c5,sk_c8)=identity|~spl0_4|~spl0_9|~spl0_10),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f705,f640])).
% 0.10/0.30 fof(f752,plain,(
% 0.10/0.30 sk_c7=identity|~spl0_8|~spl0_4|~spl0_9|~spl0_10),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f707,f751])).
% 0.10/0.30 fof(f804,plain,(
% 0.10/0.30 sk_c8=identity|~spl0_0|~spl0_7),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f83,f650])).
% 0.10/0.30 fof(f816,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c8)=sk_c7|~spl0_8|~spl0_4|~spl0_9|~spl0_10|~spl0_15)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f752,f164])).
% 0.10/0.30 fof(f817,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_0|~spl0_7|~spl0_8|~spl0_4|~spl0_9|~spl0_10|~spl0_15)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f804,f816])).
% 0.10/0.30 fof(f818,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_0|~spl0_7|~spl0_8|~spl0_4|~spl0_9|~spl0_10|~spl0_15)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f817])).
% 0.10/0.30 fof(f819,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_0|~spl0_7|~spl0_8|~spl0_4|~spl0_9|~spl0_10|~spl0_15)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f752,f818])).
% 0.10/0.30 fof(f820,plain,(
% 0.10/0.30 ~inverse(identity)=identity|~spl0_0|~spl0_7|~spl0_8|~spl0_4|~spl0_9|~spl0_10|~spl0_15),
% 0.10/0.30 inference(destructive_equality_resolution,[status(esa)],[f819])).
% 0.10/0.30 fof(f821,plain,(
% 0.10/0.30 $false|~spl0_0|~spl0_7|~spl0_8|~spl0_4|~spl0_9|~spl0_10|~spl0_15),
% 0.10/0.30 inference(forward_subsumption_resolution,[status(thm)],[f820,f193])).
% 0.10/0.30 fof(f822,plain,(
% 0.10/0.30 ~spl0_0|~spl0_7|~spl0_8|~spl0_4|~spl0_9|~spl0_10|~spl0_15),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f821])).
% 0.10/0.30 fof(f823,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c7)=sk_c8|~spl0_0|~spl0_7|~spl0_14)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f804,f161])).
% 0.10/0.30 fof(f824,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c7)=identity|~spl0_0|~spl0_7|~spl0_14)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f804,f823])).
% 0.10/0.30 fof(f825,plain,(
% 0.10/0.30 multiply(identity,sk_c2)=identity|~spl0_0|~spl0_7|~spl0_9),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f804,f647])).
% 0.10/0.30 fof(f826,plain,(
% 0.10/0.30 sk_c2=identity|~spl0_0|~spl0_7|~spl0_9),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f41,f825])).
% 0.10/0.30 fof(f846,plain,(
% 0.10/0.30 multiply(sk_c2,identity)=sk_c7|~spl0_0|~spl0_7|~spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f804,f119])).
% 0.10/0.30 fof(f847,plain,(
% 0.10/0.30 sk_c2=sk_c7|~spl0_0|~spl0_7|~spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f846])).
% 0.10/0.30 fof(f849,plain,(
% 0.10/0.30 inverse(identity)=sk_c2|~spl0_0|~spl0_7|~spl0_9|~spl0_10),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f804,f684])).
% 0.10/0.30 fof(f850,plain,(
% 0.10/0.30 identity=sk_c2|~spl0_0|~spl0_7|~spl0_9|~spl0_10),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f193,f849])).
% 0.10/0.30 fof(f852,plain,(
% 0.10/0.30 multiply(sk_c2,sk_c7)=identity|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_11),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f804,f685])).
% 0.10/0.30 fof(f1702,plain,(
% 0.10/0.30 multiply(identity,sk_c7)=identity|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_11),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f826,f852])).
% 0.10/0.30 fof(f1703,plain,(
% 0.10/0.30 sk_c7=identity|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_11),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f41,f1702])).
% 0.10/0.30 fof(f1708,plain,(
% 0.10/0.30 spl0_16 <=> inverse(inverse(sk_c7))=identity),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f1709,plain,(
% 0.10/0.30 inverse(inverse(sk_c7))=identity|~spl0_16),
% 0.10/0.30 inference(component_clause,[status(thm)],[f1708])).
% 0.10/0.30 fof(f1710,plain,(
% 0.10/0.30 ~inverse(inverse(sk_c7))=identity|spl0_16),
% 0.10/0.30 inference(component_clause,[status(thm)],[f1708])).
% 0.10/0.30 fof(f1711,plain,(
% 0.10/0.30 spl0_17 <=> identity=identity),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f1713,plain,(
% 0.10/0.30 ~identity=identity|spl0_17),
% 0.10/0.30 inference(component_clause,[status(thm)],[f1711])).
% 0.10/0.30 fof(f1714,plain,(
% 0.10/0.30 ~inverse(inverse(sk_c7))=identity|~identity=identity|~spl0_0|~spl0_7|~spl0_14),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f42,f824])).
% 0.10/0.30 fof(f1715,plain,(
% 0.10/0.30 ~spl0_16|~spl0_17|~spl0_0|~spl0_7|~spl0_14),
% 0.10/0.30 inference(split_clause,[status(thm)],[f1714,f1708,f1711,f82,f109,f160])).
% 0.10/0.30 fof(f1716,plain,(
% 0.10/0.30 spl0_18 <=> inverse(identity)=identity),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f1718,plain,(
% 0.10/0.30 ~inverse(identity)=identity|spl0_18),
% 0.10/0.30 inference(component_clause,[status(thm)],[f1716])).
% 0.10/0.30 fof(f1719,plain,(
% 0.10/0.30 spl0_19 <=> sk_c7=identity),
% 0.10/0.30 introduced(split_symbol_definition)).
% 0.10/0.30 fof(f1722,plain,(
% 0.10/0.30 ~inverse(identity)=identity|~sk_c7=identity|~spl0_0|~spl0_7|~spl0_14),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f41,f824])).
% 0.10/0.30 fof(f1723,plain,(
% 0.10/0.30 ~spl0_18|~spl0_19|~spl0_0|~spl0_7|~spl0_14),
% 0.10/0.30 inference(split_clause,[status(thm)],[f1722,f1716,f1719,f82,f109,f160])).
% 0.10/0.30 fof(f1725,plain,(
% 0.10/0.30 ~identity=identity|spl0_18),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f193,f1718])).
% 0.10/0.30 fof(f1726,plain,(
% 0.10/0.30 $false|spl0_18),
% 0.10/0.30 inference(trivial_equality_resolution,[status(esa)],[f1725])).
% 0.10/0.30 fof(f1727,plain,(
% 0.10/0.30 spl0_18),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f1726])).
% 0.10/0.30 fof(f1728,plain,(
% 0.10/0.30 $false|spl0_17),
% 0.10/0.30 inference(trivial_equality_resolution,[status(esa)],[f1713])).
% 0.10/0.30 fof(f1729,plain,(
% 0.10/0.30 spl0_17),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f1728])).
% 0.10/0.30 fof(f1730,plain,(
% 0.10/0.30 ~sk_c7=identity|spl0_16),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f214,f1710])).
% 0.10/0.30 fof(f1739,plain,(
% 0.10/0.30 spl0_0|~spl0_7|~spl0_2|~spl0_1),
% 0.10/0.30 inference(split_clause,[status(thm)],[f750,f82,f109,f89,f85])).
% 0.10/0.30 fof(f1773,plain,(
% 0.10/0.30 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_0|~spl0_7|~spl0_13)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f804,f158])).
% 0.10/0.30 fof(f1774,plain,(
% 0.10/0.30 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c8|~spl0_0|~spl0_7|~spl0_13)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f1773])).
% 0.10/0.30 fof(f1775,plain,(
% 0.10/0.30 ![X0]: (~X0=sk_c7|~inverse(X0)=identity|~spl0_0|~spl0_7|~spl0_13)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f804,f1774])).
% 0.10/0.30 fof(f1776,plain,(
% 0.10/0.30 ~inverse(sk_c7)=identity|~spl0_0|~spl0_7|~spl0_13),
% 0.10/0.30 inference(destructive_equality_resolution,[status(esa)],[f1775])).
% 0.10/0.30 fof(f1777,plain,(
% 0.10/0.30 ~inverse(identity)=identity|~spl0_10|~spl0_9|~spl0_11|~spl0_0|~spl0_7|~spl0_13),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f1703,f1776])).
% 0.10/0.30 fof(f1778,plain,(
% 0.10/0.30 ~spl0_18|~spl0_10|~spl0_9|~spl0_11|~spl0_0|~spl0_7|~spl0_13),
% 0.10/0.30 inference(split_clause,[status(thm)],[f1777,f1716,f136,f127,f145,f82,f109,f157])).
% 0.10/0.30 fof(f1786,plain,(
% 0.10/0.30 multiply(sk_c7,sk_c6)=identity|~spl0_5),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f654,f184])).
% 0.10/0.30 fof(f1795,plain,(
% 0.10/0.30 multiply(sk_c2,sk_c8)=identity|~spl0_9),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f128,f184])).
% 0.10/0.30 fof(f1843,plain,(
% 0.10/0.30 sk_c5=sk_c2|~spl0_4|~spl0_9),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f659,f644])).
% 0.10/0.30 fof(f1846,plain,(
% 0.10/0.30 multiply(sk_c5,sk_c8)=sk_c7|~spl0_4|~spl0_9|~spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f1843,f119])).
% 0.10/0.30 fof(f2636,plain,(
% 0.10/0.30 multiply(sk_c5,sk_c8)=identity|~spl0_4|~spl0_9),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f1843,f645])).
% 0.10/0.30 fof(f2637,plain,(
% 0.10/0.30 sk_c7=identity|~spl0_8|~spl0_4|~spl0_9),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f1846,f2636])).
% 0.10/0.30 fof(f2638,plain,(
% 0.10/0.30 $false|spl0_16|~spl0_8|~spl0_4|~spl0_9),
% 0.10/0.30 inference(forward_subsumption_resolution,[status(thm)],[f2637,f1730])).
% 0.10/0.30 fof(f2639,plain,(
% 0.10/0.30 spl0_16|~spl0_8|~spl0_4|~spl0_9),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f2638])).
% 0.10/0.30 fof(f2640,plain,(
% 0.10/0.30 identity=sk_c8|~spl0_2|~spl0_1),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f675,f86])).
% 0.10/0.30 fof(f2641,plain,(
% 0.10/0.30 ~inverse(sk_c2)=identity|~spl0_2|~spl0_1|spl0_9),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f2640,f129])).
% 0.10/0.30 fof(f2643,plain,(
% 0.10/0.30 sk_c7=multiply(identity,sk_c6)|~spl0_2|~spl0_1|~spl0_5|~spl0_6),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f2640,f740])).
% 0.10/0.30 fof(f2644,plain,(
% 0.10/0.30 sk_c7=sk_c6|~spl0_2|~spl0_1|~spl0_5|~spl0_6),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f41,f2643])).
% 0.10/0.30 fof(f2645,plain,(
% 0.10/0.30 multiply(sk_c1,sk_c9)=identity|~spl0_2|~spl0_1|~spl0_0),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f2640,f83])).
% 0.10/0.30 fof(f2649,plain,(
% 0.10/0.30 inverse(identity)=sk_c5|~spl0_2|~spl0_1|~spl0_4),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f2640,f659])).
% 0.10/0.30 fof(f2650,plain,(
% 0.10/0.30 identity=sk_c5|~spl0_2|~spl0_1|~spl0_4),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f193,f2649])).
% 0.10/0.30 fof(f2655,plain,(
% 0.10/0.30 ![X0]: (~multiply(X0,sk_c9)=identity|~inverse(X0)=sk_c9|~spl0_2|~spl0_1|~spl0_12)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2640,f155])).
% 0.10/0.30 fof(f2656,plain,(
% 0.10/0.30 ~inverse(sk_c4)=sk_c9|~spl0_1|~spl0_12|~spl0_2),
% 0.10/0.30 inference(resolution,[status(thm)],[f2655,f675])).
% 0.10/0.30 fof(f2657,plain,(
% 0.10/0.30 ~sk_c9=sk_c9|~spl0_1|~spl0_12|~spl0_2),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f90,f2656])).
% 0.10/0.30 fof(f2658,plain,(
% 0.10/0.30 $false|~spl0_1|~spl0_12|~spl0_2),
% 0.10/0.30 inference(trivial_equality_resolution,[status(esa)],[f2657])).
% 0.10/0.30 fof(f2659,plain,(
% 0.10/0.30 ~spl0_1|~spl0_12|~spl0_2),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f2658])).
% 0.10/0.30 fof(f2666,plain,(
% 0.10/0.30 sk_c7=multiply(inverse(sk_c3),sk_c8)|~spl0_11),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f146,f172])).
% 0.10/0.30 fof(f2668,plain,(
% 0.10/0.30 identity=sk_c7|~spl0_9|~spl0_10|~spl0_0|~spl0_7|~spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f850,f847])).
% 0.10/0.30 fof(f2686,plain,(
% 0.10/0.30 ![X0]: (~multiply(X0,sk_c9)=identity|~inverse(X0)=sk_c9|~spl0_0|~spl0_7|~spl0_12)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f804,f155])).
% 0.10/0.30 fof(f2687,plain,(
% 0.10/0.30 ~inverse(inverse(sk_c9))=sk_c9|~spl0_0|~spl0_7|~spl0_12),
% 0.10/0.30 inference(resolution,[status(thm)],[f2686,f42])).
% 0.10/0.30 fof(f2688,plain,(
% 0.10/0.30 ~sk_c9=sk_c9|~spl0_0|~spl0_7|~spl0_12),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f214,f2687])).
% 0.10/0.30 fof(f2689,plain,(
% 0.10/0.30 $false|~spl0_0|~spl0_7|~spl0_12),
% 0.10/0.30 inference(trivial_equality_resolution,[status(esa)],[f2688])).
% 0.10/0.30 fof(f2690,plain,(
% 0.10/0.30 ~spl0_0|~spl0_7|~spl0_12),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f2689])).
% 0.10/0.30 fof(f3091,plain,(
% 0.10/0.30 multiply(identity,sk_c8)=sk_c7|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2650,f94])).
% 0.10/0.30 fof(f3092,plain,(
% 0.10/0.30 sk_c8=sk_c7|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f41,f3091])).
% 0.10/0.30 fof(f3093,plain,(
% 0.10/0.30 identity=sk_c7|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2640,f3092])).
% 0.10/0.30 fof(f3107,plain,(
% 0.10/0.30 multiply(identity,sk_c6)=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f3093,f1786])).
% 0.10/0.30 fof(f3108,plain,(
% 0.10/0.30 sk_c6=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f41,f3107])).
% 0.10/0.30 fof(f3138,plain,(
% 0.10/0.30 inverse(sk_c9)=multiply(inverse(identity),sk_c1)|~spl0_2|~spl0_1|~spl0_0),
% 0.10/0.30 inference(paramodulation,[status(thm)],[f2645,f266])).
% 0.10/0.30 fof(f3139,plain,(
% 0.10/0.30 sk_c4=multiply(inverse(identity),sk_c1)|~spl0_2|~spl0_1|~spl0_0),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f674,f3138])).
% 0.10/0.30 fof(f3140,plain,(
% 0.10/0.30 sk_c4=multiply(identity,sk_c1)|~spl0_2|~spl0_1|~spl0_0),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f193,f3139])).
% 0.10/0.30 fof(f3141,plain,(
% 0.10/0.30 sk_c4=sk_c1|~spl0_2|~spl0_1|~spl0_0),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f41,f3140])).
% 0.10/0.30 fof(f3146,plain,(
% 0.10/0.30 multiply(sk_c2,identity)=sk_c7|~spl0_2|~spl0_1|~spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2640,f119])).
% 0.10/0.30 fof(f3147,plain,(
% 0.10/0.30 sk_c2=sk_c7|~spl0_2|~spl0_1|~spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f3146])).
% 0.10/0.30 fof(f3148,plain,(
% 0.10/0.30 sk_c2=identity|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f3093,f3147])).
% 0.10/0.30 fof(f3149,plain,(
% 0.10/0.30 ~inverse(identity)=identity|~spl0_4|~spl0_3|~spl0_8|~spl0_2|~spl0_1|spl0_9),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f3148,f2641])).
% 0.10/0.30 fof(f3150,plain,(
% 0.10/0.30 ~spl0_18|~spl0_4|~spl0_3|~spl0_8|~spl0_2|~spl0_1|spl0_9),
% 0.10/0.30 inference(split_clause,[status(thm)],[f3149,f1716,f97,f93,f118,f89,f85,f127])).
% 0.10/0.30 fof(f3174,plain,(
% 0.10/0.30 multiply(sk_c2,identity)=identity|~spl0_2|~spl0_1|~spl0_9),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2640,f1795])).
% 0.10/0.30 fof(f3175,plain,(
% 0.10/0.30 sk_c2=identity|~spl0_2|~spl0_1|~spl0_9),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f3174])).
% 0.10/0.30 fof(f3184,plain,(
% 0.10/0.30 ~multiply(sk_c2,identity)=sk_c7|~spl0_2|~spl0_1|spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2640,f120])).
% 0.10/0.30 fof(f3185,plain,(
% 0.10/0.30 ~sk_c2=sk_c7|~spl0_2|~spl0_1|spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f3184])).
% 0.10/0.30 fof(f3186,plain,(
% 0.10/0.30 ~sk_c2=identity|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f3093,f3185])).
% 0.10/0.30 fof(f3790,plain,(
% 0.10/0.30 inverse(sk_c1)=sk_c9|~spl0_1|~spl0_0|~spl0_2),
% 0.10/0.30 inference(backward_demodulation,[status(thm)],[f3141,f90])).
% 0.10/0.30 fof(f3792,plain,(
% 0.10/0.30 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_2|~spl0_1|~spl0_13)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2640,f158])).
% 0.10/0.30 fof(f3793,plain,(
% 0.10/0.30 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c8|~spl0_2|~spl0_1|~spl0_13)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f3792])).
% 0.10/0.30 fof(f3794,plain,(
% 0.10/0.30 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_13)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f3093,f3793])).
% 0.10/0.30 fof(f3795,plain,(
% 0.10/0.30 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_13)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2640,f3794])).
% 0.10/0.30 fof(f3796,plain,(
% 0.10/0.30 ~inverse(identity)=identity|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_13),
% 0.10/0.30 inference(destructive_equality_resolution,[status(esa)],[f3795])).
% 0.10/0.30 fof(f3797,plain,(
% 0.10/0.30 $false|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_13),
% 0.10/0.30 inference(forward_subsumption_resolution,[status(thm)],[f3796,f193])).
% 0.10/0.30 fof(f3798,plain,(
% 0.10/0.30 ~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_13),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f3797])).
% 0.10/0.30 fof(f3799,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c7)=sk_c8|~spl0_2|~spl0_1|~spl0_14)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2640,f161])).
% 0.10/0.30 fof(f3800,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c8|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_14)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f3093,f3799])).
% 0.10/0.30 fof(f3801,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=identity|~X0=sk_c8|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_14)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f3800])).
% 0.10/0.30 fof(f3802,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_14)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2640,f3801])).
% 0.10/0.30 fof(f3803,plain,(
% 0.10/0.30 ~inverse(identity)=identity|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_14),
% 0.10/0.30 inference(destructive_equality_resolution,[status(esa)],[f3802])).
% 0.10/0.30 fof(f3804,plain,(
% 0.10/0.30 $false|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_14),
% 0.10/0.30 inference(forward_subsumption_resolution,[status(thm)],[f3803,f193])).
% 0.10/0.30 fof(f3805,plain,(
% 0.10/0.30 ~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_14),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f3804])).
% 0.10/0.30 fof(f3841,plain,(
% 0.10/0.30 $false|spl0_16|~spl0_9|~spl0_10|~spl0_0|~spl0_7|~spl0_8),
% 0.10/0.30 inference(forward_subsumption_resolution,[status(thm)],[f2668,f1730])).
% 0.10/0.30 fof(f3842,plain,(
% 0.10/0.30 spl0_16|~spl0_9|~spl0_10|~spl0_0|~spl0_7|~spl0_8),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f3841])).
% 0.10/0.30 fof(f3925,plain,(
% 0.10/0.30 sk_c7=identity|~spl0_16),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f214,f1709])).
% 0.10/0.30 fof(f3926,plain,(
% 0.10/0.30 ~identity=identity|~spl0_9|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_8),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f3175,f3186])).
% 0.10/0.30 fof(f3927,plain,(
% 0.10/0.30 $false|~spl0_9|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_8),
% 0.10/0.30 inference(trivial_equality_resolution,[status(esa)],[f3926])).
% 0.10/0.30 fof(f3928,plain,(
% 0.10/0.30 ~spl0_9|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_8),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f3927])).
% 0.10/0.30 fof(f3979,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,identity)=sk_c7|~spl0_2|~spl0_1|~spl0_15)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f2640,f164])).
% 0.10/0.30 fof(f3980,plain,(
% 0.10/0.30 ![X0]: (~inverse(X0)=sk_c7|~X0=sk_c7|~spl0_2|~spl0_1|~spl0_15)),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f212,f3979])).
% 0.10/0.30 fof(f3981,plain,(
% 0.10/0.30 ~inverse(sk_c7)=sk_c7|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.30 inference(destructive_equality_resolution,[status(esa)],[f3980])).
% 0.10/0.30 fof(f4003,plain,(
% 0.10/0.30 sk_c7=identity|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_5|~spl0_6),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f3108,f2644])).
% 0.10/0.30 fof(f5933,plain,(
% 0.10/0.30 ~sk_c9=sk_c9|~spl0_1|~spl0_0|~spl0_2|spl0_7),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f3790,f111])).
% 0.10/0.30 fof(f5934,plain,(
% 0.10/0.30 $false|~spl0_1|~spl0_0|~spl0_2|spl0_7),
% 0.10/0.30 inference(trivial_equality_resolution,[status(esa)],[f5933])).
% 0.10/0.30 fof(f5935,plain,(
% 0.10/0.30 ~spl0_1|~spl0_0|~spl0_2|spl0_7),
% 0.10/0.30 inference(contradiction_clause,[status(thm)],[f5934])).
% 0.10/0.30 fof(f6028,plain,(
% 0.10/0.30 ~inverse(identity)=sk_c7|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f4003,f3981])).
% 0.10/0.30 fof(f6029,plain,(
% 0.10/0.30 ~identity=sk_c7|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.30 inference(forward_demodulation,[status(thm)],[f193,f6028])).
% 0.10/0.52 fof(f6030,plain,(
% 0.10/0.52 ~identity=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f4003,f6029])).
% 0.10/0.52 fof(f6031,plain,(
% 0.10/0.52 $false|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.52 inference(trivial_equality_resolution,[status(esa)],[f6030])).
% 0.10/0.52 fof(f6032,plain,(
% 0.10/0.52 ~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.52 inference(contradiction_clause,[status(thm)],[f6031])).
% 0.10/0.52 fof(f6106,plain,(
% 0.10/0.52 sk_c3=identity|~spl0_0|~spl0_7|~spl0_10|~spl0_9),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f826,f683])).
% 0.10/0.52 fof(f6108,plain,(
% 0.10/0.52 ~inverse(identity)=sk_c7|~spl0_16|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f3925,f3981])).
% 0.10/0.52 fof(f6109,plain,(
% 0.10/0.52 ~identity=sk_c7|~spl0_16|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f193,f6108])).
% 0.10/0.52 fof(f6110,plain,(
% 0.10/0.52 ~identity=identity|~spl0_16|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f3925,f6109])).
% 0.10/0.52 fof(f6111,plain,(
% 0.10/0.52 $false|~spl0_16|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.52 inference(trivial_equality_resolution,[status(esa)],[f6110])).
% 0.10/0.52 fof(f6112,plain,(
% 0.10/0.52 ~spl0_16|~spl0_2|~spl0_1|~spl0_15),
% 0.10/0.52 inference(contradiction_clause,[status(thm)],[f6111])).
% 0.10/0.52 fof(f6117,plain,(
% 0.10/0.52 identity=multiply(inverse(sk_c3),sk_c8)|~spl0_16|~spl0_11),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f3925,f2666])).
% 0.10/0.52 fof(f6118,plain,(
% 0.10/0.52 identity=multiply(inverse(identity),sk_c8)|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_16|~spl0_11),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f6106,f6117])).
% 0.10/0.52 fof(f6119,plain,(
% 0.10/0.52 identity=multiply(identity,sk_c8)|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_16|~spl0_11),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f193,f6118])).
% 0.10/0.52 fof(f6120,plain,(
% 0.10/0.52 identity=sk_c8|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_16|~spl0_11),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f41,f6119])).
% 0.10/0.52 fof(f6179,plain,(
% 0.10/0.52 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c8)=sk_c7|~spl0_16|~spl0_15)),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f3925,f164])).
% 0.10/0.52 fof(f6180,plain,(
% 0.10/0.52 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c8)=identity|~spl0_16|~spl0_15)),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f3925,f6179])).
% 0.10/0.52 fof(f7222,plain,(
% 0.10/0.52 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_11|~spl0_16|~spl0_15)),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f6120,f6180])).
% 0.10/0.52 fof(f7223,plain,(
% 0.10/0.52 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_11|~spl0_16|~spl0_15)),
% 0.10/0.52 inference(forward_demodulation,[status(thm)],[f212,f7222])).
% 0.10/0.52 fof(f7224,plain,(
% 0.10/0.52 ~inverse(identity)=identity|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_11|~spl0_16|~spl0_15),
% 0.10/0.52 inference(destructive_equality_resolution,[status(esa)],[f7223])).
% 0.10/0.52 fof(f7225,plain,(
% 0.10/0.52 $false|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_11|~spl0_16|~spl0_15),
% 0.10/0.52 inference(forward_subsumption_resolution,[status(thm)],[f7224,f193])).
% 0.10/0.52 fof(f7226,plain,(
% 0.10/0.52 ~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_11|~spl0_16|~spl0_15),
% 0.10/0.52 inference(contradiction_clause,[status(thm)],[f7225])).
% 0.10/0.52 fof(f7227,plain,(
% 0.10/0.52 $false),
% 0.10/0.52 inference(sat_refutation,[status(thm)],[f88,f92,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f148,f149,f150,f151,f166,f822,f1715,f1723,f1727,f1729,f1739,f1778,f2639,f2659,f2690,f3150,f3798,f3805,f3842,f3928,f5935,f6032,f6112,f7226])).
% 0.10/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.52 % Elapsed time: 0.049402 seconds
% 0.10/0.52 % CPU time: 0.303461 seconds
% 0.10/0.52 % Memory used: 32.649 MB
%------------------------------------------------------------------------------