TSTP Solution File: GRP265-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP265-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:11:09 EDT 2023
% Result : Unsatisfiable 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP265-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.32 % Computer : n015.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 30 11:43:19 EDT 2023
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % Drodi V3.5.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.48 fof(f1,axiom,(
% 0.18/0.48 (![X]: (multiply(identity,X) = X ))),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f2,axiom,(
% 0.18/0.48 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f3,axiom,(
% 0.18/0.48 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f4,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f5,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f6,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f7,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f8,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f9,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f10,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f13,negated_conjecture,(
% 0.18/0.48 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f14,negated_conjecture,(
% 0.18/0.48 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f15,negated_conjecture,(
% 0.18/0.48 ( inverse(sk_c1) = sk_c9| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f16,negated_conjecture,(
% 0.18/0.48 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f17,negated_conjecture,(
% 0.18/0.48 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c7 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f19,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c3) = sk_c9 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f20,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f21,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f22,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f23,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f24,negated_conjecture,(
% 0.18/0.48 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f26,negated_conjecture,(
% 0.18/0.48 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f27,negated_conjecture,(
% 0.18/0.48 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f28,negated_conjecture,(
% 0.18/0.48 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f29,negated_conjecture,(
% 0.18/0.48 ( inverse(sk_c2) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f30,negated_conjecture,(
% 0.18/0.48 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f31,negated_conjecture,(
% 0.18/0.49 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f32,negated_conjecture,(
% 0.18/0.49 (![X3,X4,X1,X2,X5,X6]: (( multiply(X3,sk_c9) != sk_c8| inverse(X3) != sk_c9| multiply(X4,sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(sk_c7,X5) != sk_c8| multiply(X6,sk_c7) != X5| inverse(X6) != sk_c7 ) ))),
% 0.18/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f33,plain,(
% 0.18/0.49 ![X0]: (multiply(identity,X0)=X0)),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f1])).
% 0.18/0.49 fof(f34,plain,(
% 0.18/0.49 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f2])).
% 0.18/0.49 fof(f35,plain,(
% 0.18/0.49 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f3])).
% 0.18/0.49 fof(f36,plain,(
% 0.18/0.49 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f4])).
% 0.18/0.49 fof(f37,plain,(
% 0.18/0.49 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f5])).
% 0.18/0.49 fof(f38,plain,(
% 0.18/0.49 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f6])).
% 0.18/0.49 fof(f39,plain,(
% 0.18/0.49 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f7])).
% 0.18/0.49 fof(f40,plain,(
% 0.18/0.49 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f8])).
% 0.18/0.49 fof(f41,plain,(
% 0.18/0.49 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c7)=sk_c6),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f9])).
% 0.18/0.49 fof(f42,plain,(
% 0.18/0.49 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f10])).
% 0.18/0.49 fof(f45,plain,(
% 0.18/0.49 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f13])).
% 0.18/0.49 fof(f46,plain,(
% 0.18/0.49 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c7),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f14])).
% 0.18/0.49 fof(f47,plain,(
% 0.18/0.49 inverse(sk_c1)=sk_c9|multiply(sk_c7,sk_c6)=sk_c8),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f15])).
% 0.18/0.49 fof(f48,plain,(
% 0.18/0.49 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c7)=sk_c6),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f16])).
% 0.18/0.49 fof(f49,plain,(
% 0.18/0.49 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c7),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f17])).
% 0.18/0.49 fof(f51,plain,(
% 0.18/0.49 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c3)=sk_c9),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f19])).
% 0.18/0.49 fof(f52,plain,(
% 0.18/0.49 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f20])).
% 0.18/0.49 fof(f53,plain,(
% 0.18/0.49 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f21])).
% 0.18/0.49 fof(f54,plain,(
% 0.18/0.49 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f22])).
% 0.18/0.49 fof(f55,plain,(
% 0.18/0.49 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f23])).
% 0.18/0.49 fof(f56,plain,(
% 0.18/0.49 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f24])).
% 0.18/0.49 fof(f58,plain,(
% 0.18/0.49 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f26])).
% 0.18/0.49 fof(f59,plain,(
% 0.18/0.49 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f27])).
% 0.18/0.49 fof(f60,plain,(
% 0.18/0.49 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f28])).
% 0.18/0.49 fof(f61,plain,(
% 0.18/0.49 inverse(sk_c2)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f29])).
% 0.18/0.49 fof(f62,plain,(
% 0.18/0.49 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c7)=sk_c6),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f30])).
% 0.18/0.49 fof(f63,plain,(
% 0.18/0.49 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f31])).
% 0.18/0.49 fof(f64,plain,(
% 0.18/0.49 ![X6]: ((![X5]: (((![X2]: (((![X1]: (((![X4]: (((![X3]: (~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9))|~multiply(X4,sk_c8)=sk_c7)|~inverse(X4)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c7)=sk_c8)|~inverse(X2)=sk_c7))|~multiply(sk_c7,X5)=sk_c8)|~multiply(X6,sk_c7)=X5))|~inverse(X6)=sk_c7)),
% 0.18/0.49 inference(miniscoping,[status(esa)],[f32])).
% 0.18/0.49 fof(f65,plain,(
% 0.18/0.49 ![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|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7|~multiply(sk_c7,X4)=sk_c8|~multiply(X5,sk_c7)=X4|~inverse(X5)=sk_c7)),
% 0.18/0.49 inference(cnf_transformation,[status(esa)],[f64])).
% 0.18/0.49 fof(f66,plain,(
% 0.18/0.49 spl0_0 <=> multiply(sk_c1,sk_c9)=sk_c8),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f67,plain,(
% 0.18/0.49 multiply(sk_c1,sk_c9)=sk_c8|~spl0_0),
% 0.18/0.49 inference(component_clause,[status(thm)],[f66])).
% 0.18/0.49 fof(f69,plain,(
% 0.18/0.49 spl0_1 <=> multiply(sk_c3,sk_c9)=sk_c8),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f70,plain,(
% 0.18/0.49 multiply(sk_c3,sk_c9)=sk_c8|~spl0_1),
% 0.18/0.49 inference(component_clause,[status(thm)],[f69])).
% 0.18/0.49 fof(f72,plain,(
% 0.18/0.49 spl0_0|spl0_1),
% 0.18/0.49 inference(split_clause,[status(thm)],[f36,f66,f69])).
% 0.18/0.49 fof(f73,plain,(
% 0.18/0.49 spl0_2 <=> inverse(sk_c3)=sk_c9),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f74,plain,(
% 0.18/0.49 inverse(sk_c3)=sk_c9|~spl0_2),
% 0.18/0.49 inference(component_clause,[status(thm)],[f73])).
% 0.18/0.49 fof(f76,plain,(
% 0.18/0.49 spl0_0|spl0_2),
% 0.18/0.49 inference(split_clause,[status(thm)],[f37,f66,f73])).
% 0.18/0.49 fof(f77,plain,(
% 0.18/0.49 spl0_3 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f78,plain,(
% 0.18/0.49 multiply(sk_c4,sk_c7)=sk_c8|~spl0_3),
% 0.18/0.49 inference(component_clause,[status(thm)],[f77])).
% 0.18/0.49 fof(f80,plain,(
% 0.18/0.49 spl0_0|spl0_3),
% 0.18/0.49 inference(split_clause,[status(thm)],[f38,f66,f77])).
% 0.18/0.49 fof(f81,plain,(
% 0.18/0.49 spl0_4 <=> inverse(sk_c4)=sk_c7),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f82,plain,(
% 0.18/0.49 inverse(sk_c4)=sk_c7|~spl0_4),
% 0.18/0.49 inference(component_clause,[status(thm)],[f81])).
% 0.18/0.49 fof(f84,plain,(
% 0.18/0.49 spl0_0|spl0_4),
% 0.18/0.49 inference(split_clause,[status(thm)],[f39,f66,f81])).
% 0.18/0.49 fof(f85,plain,(
% 0.18/0.49 spl0_5 <=> multiply(sk_c7,sk_c6)=sk_c8),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f86,plain,(
% 0.18/0.49 multiply(sk_c7,sk_c6)=sk_c8|~spl0_5),
% 0.18/0.49 inference(component_clause,[status(thm)],[f85])).
% 0.18/0.49 fof(f88,plain,(
% 0.18/0.49 spl0_0|spl0_5),
% 0.18/0.49 inference(split_clause,[status(thm)],[f40,f66,f85])).
% 0.18/0.49 fof(f89,plain,(
% 0.18/0.49 spl0_6 <=> multiply(sk_c5,sk_c7)=sk_c6),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f90,plain,(
% 0.18/0.49 multiply(sk_c5,sk_c7)=sk_c6|~spl0_6),
% 0.18/0.49 inference(component_clause,[status(thm)],[f89])).
% 0.18/0.49 fof(f92,plain,(
% 0.18/0.49 spl0_0|spl0_6),
% 0.18/0.49 inference(split_clause,[status(thm)],[f41,f66,f89])).
% 0.18/0.49 fof(f93,plain,(
% 0.18/0.49 spl0_7 <=> inverse(sk_c5)=sk_c7),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f94,plain,(
% 0.18/0.49 inverse(sk_c5)=sk_c7|~spl0_7),
% 0.18/0.49 inference(component_clause,[status(thm)],[f93])).
% 0.18/0.49 fof(f96,plain,(
% 0.18/0.49 spl0_0|spl0_7),
% 0.18/0.49 inference(split_clause,[status(thm)],[f42,f66,f93])).
% 0.18/0.49 fof(f97,plain,(
% 0.18/0.49 spl0_8 <=> inverse(sk_c1)=sk_c9),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f98,plain,(
% 0.18/0.49 inverse(sk_c1)=sk_c9|~spl0_8),
% 0.18/0.49 inference(component_clause,[status(thm)],[f97])).
% 0.18/0.49 fof(f102,plain,(
% 0.18/0.49 spl0_8|spl0_3),
% 0.18/0.49 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.18/0.49 fof(f103,plain,(
% 0.18/0.49 spl0_8|spl0_4),
% 0.18/0.49 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.18/0.49 fof(f104,plain,(
% 0.18/0.49 spl0_8|spl0_5),
% 0.18/0.49 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.18/0.49 fof(f105,plain,(
% 0.18/0.49 spl0_8|spl0_6),
% 0.18/0.49 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.18/0.49 fof(f106,plain,(
% 0.18/0.49 spl0_8|spl0_7),
% 0.18/0.49 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.18/0.49 fof(f107,plain,(
% 0.18/0.49 spl0_9 <=> multiply(sk_c2,sk_c8)=sk_c7),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f108,plain,(
% 0.18/0.49 multiply(sk_c2,sk_c8)=sk_c7|~spl0_9),
% 0.18/0.49 inference(component_clause,[status(thm)],[f107])).
% 0.18/0.49 fof(f111,plain,(
% 0.18/0.49 spl0_9|spl0_2),
% 0.18/0.49 inference(split_clause,[status(thm)],[f51,f107,f73])).
% 0.18/0.49 fof(f112,plain,(
% 0.18/0.49 spl0_9|spl0_3),
% 0.18/0.49 inference(split_clause,[status(thm)],[f52,f107,f77])).
% 0.18/0.49 fof(f113,plain,(
% 0.18/0.49 spl0_9|spl0_4),
% 0.18/0.49 inference(split_clause,[status(thm)],[f53,f107,f81])).
% 0.18/0.49 fof(f114,plain,(
% 0.18/0.49 spl0_9|spl0_5),
% 0.18/0.49 inference(split_clause,[status(thm)],[f54,f107,f85])).
% 0.18/0.49 fof(f115,plain,(
% 0.18/0.49 spl0_9|spl0_6),
% 0.18/0.49 inference(split_clause,[status(thm)],[f55,f107,f89])).
% 0.18/0.49 fof(f116,plain,(
% 0.18/0.49 spl0_9|spl0_7),
% 0.18/0.49 inference(split_clause,[status(thm)],[f56,f107,f93])).
% 0.18/0.49 fof(f117,plain,(
% 0.18/0.49 spl0_10 <=> inverse(sk_c2)=sk_c8),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f118,plain,(
% 0.18/0.49 inverse(sk_c2)=sk_c8|~spl0_10),
% 0.18/0.49 inference(component_clause,[status(thm)],[f117])).
% 0.18/0.49 fof(f121,plain,(
% 0.18/0.49 spl0_10|spl0_2),
% 0.18/0.49 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.18/0.49 fof(f122,plain,(
% 0.18/0.49 spl0_10|spl0_3),
% 0.18/0.49 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.18/0.49 fof(f123,plain,(
% 0.18/0.49 spl0_10|spl0_4),
% 0.18/0.49 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.18/0.49 fof(f124,plain,(
% 0.18/0.49 spl0_10|spl0_5),
% 0.18/0.49 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.18/0.49 fof(f125,plain,(
% 0.18/0.49 spl0_10|spl0_6),
% 0.18/0.49 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.18/0.49 fof(f126,plain,(
% 0.18/0.49 spl0_10|spl0_7),
% 0.18/0.49 inference(split_clause,[status(thm)],[f63,f117,f93])).
% 0.18/0.49 fof(f127,plain,(
% 0.18/0.49 spl0_11 <=> ~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f128,plain,(
% 0.18/0.49 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_11)),
% 0.18/0.49 inference(component_clause,[status(thm)],[f127])).
% 0.18/0.49 fof(f130,plain,(
% 0.18/0.49 spl0_12 <=> ~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f131,plain,(
% 0.18/0.49 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 0.18/0.49 inference(component_clause,[status(thm)],[f130])).
% 0.18/0.49 fof(f133,plain,(
% 0.18/0.49 spl0_13 <=> ~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f134,plain,(
% 0.18/0.49 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_13)),
% 0.18/0.49 inference(component_clause,[status(thm)],[f133])).
% 0.18/0.49 fof(f136,plain,(
% 0.18/0.49 spl0_14 <=> ~multiply(sk_c7,X4)=sk_c8|~multiply(X5,sk_c7)=X4|~inverse(X5)=sk_c7),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f137,plain,(
% 0.18/0.49 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c8|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_14)),
% 0.18/0.49 inference(component_clause,[status(thm)],[f136])).
% 0.18/0.49 fof(f139,plain,(
% 0.18/0.49 spl0_11|spl0_12|spl0_13|spl0_14),
% 0.18/0.49 inference(split_clause,[status(thm)],[f65,f127,f130,f133,f136])).
% 0.18/0.49 fof(f140,plain,(
% 0.18/0.49 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c8|~inverse(X0)=sk_c7|~spl0_14)),
% 0.18/0.49 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.18/0.49 fof(f145,plain,(
% 0.18/0.49 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f34,f35])).
% 0.18/0.49 fof(f146,plain,(
% 0.18/0.49 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f33,f145])).
% 0.18/0.49 fof(f147,plain,(
% 0.18/0.49 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f146,f146])).
% 0.18/0.49 fof(f148,plain,(
% 0.18/0.49 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f34,f146])).
% 0.18/0.49 fof(f150,plain,(
% 0.18/0.49 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f35,f146])).
% 0.18/0.49 fof(f158,plain,(
% 0.18/0.49 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f34,f147])).
% 0.18/0.49 fof(f167,plain,(
% 0.18/0.49 inverse(identity)=identity),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f33,f158])).
% 0.18/0.49 fof(f186,plain,(
% 0.18/0.49 ![X0]: (X0=multiply(X0,identity))),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f147,f148])).
% 0.18/0.49 fof(f187,plain,(
% 0.18/0.49 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f147,f186])).
% 0.18/0.49 fof(f188,plain,(
% 0.18/0.49 ![X0]: (inverse(inverse(X0))=X0)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f186,f187])).
% 0.18/0.49 fof(f225,plain,(
% 0.18/0.49 ![X0,X1]: (X0=multiply(inverse(multiply(inverse(multiply(X1,X0)),X1)),identity))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f34,f150])).
% 0.18/0.49 fof(f226,plain,(
% 0.18/0.49 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,X0)),X1)))),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f186,f225])).
% 0.18/0.49 fof(f239,plain,(
% 0.18/0.49 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f158,f150])).
% 0.18/0.49 fof(f240,plain,(
% 0.18/0.49 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f186,f239])).
% 0.18/0.49 fof(f288,plain,(
% 0.18/0.49 ![X0,X1,X2]: (X0=multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,X0))))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f226,f150])).
% 0.18/0.49 fof(f335,plain,(
% 0.18/0.49 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f240,f240])).
% 0.18/0.49 fof(f336,plain,(
% 0.18/0.49 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f188,f335])).
% 0.18/0.49 fof(f613,plain,(
% 0.18/0.49 inverse(sk_c8)=sk_c2|~spl0_10),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f118,f188])).
% 0.18/0.49 fof(f618,plain,(
% 0.18/0.49 inverse(sk_c9)=sk_c1|~spl0_8),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f98,f188])).
% 0.18/0.49 fof(f623,plain,(
% 0.18/0.49 inverse(sk_c7)=sk_c5|~spl0_7),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f94,f188])).
% 0.18/0.49 fof(f628,plain,(
% 0.18/0.49 inverse(sk_c7)=sk_c4|~spl0_4),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f82,f188])).
% 0.18/0.49 fof(f631,plain,(
% 0.18/0.49 multiply(sk_c7,sk_c4)=identity|~spl0_4),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f82,f34])).
% 0.18/0.49 fof(f633,plain,(
% 0.18/0.49 inverse(sk_c9)=sk_c3|~spl0_2),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f74,f188])).
% 0.18/0.49 fof(f651,plain,(
% 0.18/0.49 multiply(sk_c2,sk_c8)=identity|~spl0_10),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f613,f34])).
% 0.18/0.49 fof(f652,plain,(
% 0.18/0.49 sk_c7=identity|~spl0_9|~spl0_10),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f108,f651])).
% 0.18/0.49 fof(f653,plain,(
% 0.18/0.49 multiply(sk_c2,sk_c8)=identity|~spl0_10|~spl0_9),
% 0.18/0.49 inference(backward_demodulation,[status(thm)],[f652,f108])).
% 0.18/0.49 fof(f660,plain,(
% 0.18/0.49 multiply(sk_c1,sk_c9)=identity|~spl0_8),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f618,f34])).
% 0.18/0.49 fof(f665,plain,(
% 0.18/0.49 sk_c1=sk_c3|~spl0_8|~spl0_2),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f618,f633])).
% 0.18/0.49 fof(f671,plain,(
% 0.18/0.49 inverse(sk_c1)=multiply(sk_c9,inverse(sk_c8))|~spl0_0),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f67,f336])).
% 0.18/0.49 fof(f672,plain,(
% 0.18/0.49 sk_c9=multiply(sk_c9,inverse(sk_c8))|~spl0_8|~spl0_0),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f98,f671])).
% 0.18/0.49 fof(f673,plain,(
% 0.18/0.49 sk_c9=multiply(sk_c9,sk_c2)|~spl0_10|~spl0_8|~spl0_0),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f613,f672])).
% 0.18/0.49 fof(f697,plain,(
% 0.18/0.49 multiply(sk_c1,sk_c9)=sk_c8|~spl0_8|~spl0_2|~spl0_1),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f665,f70])).
% 0.18/0.49 fof(f773,plain,(
% 0.18/0.49 ![X0]: (~multiply(X0,sk_c8)=identity|~inverse(X0)=sk_c8|~spl0_9|~spl0_10|~spl0_12)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f652,f131])).
% 0.18/0.49 fof(f1390,plain,(
% 0.18/0.49 ![X0]: (sk_c8=multiply(X0,multiply(inverse(multiply(sk_c2,X0)),identity))|~spl0_10|~spl0_9)),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f653,f288])).
% 0.18/0.49 fof(f1391,plain,(
% 0.18/0.49 ![X0]: (sk_c8=multiply(X0,inverse(multiply(sk_c2,X0)))|~spl0_10|~spl0_9)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f186,f1390])).
% 0.18/0.49 fof(f1392,plain,(
% 0.18/0.49 sk_c8=inverse(sk_c2)|~spl0_10|~spl0_9),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f336,f1391])).
% 0.18/0.49 fof(f1623,plain,(
% 0.18/0.49 ~inverse(inverse(sk_c8))=sk_c8|~spl0_9|~spl0_10|~spl0_12),
% 0.18/0.49 inference(resolution,[status(thm)],[f773,f34])).
% 0.18/0.49 fof(f1624,plain,(
% 0.18/0.49 ~sk_c8=sk_c8|~spl0_9|~spl0_10|~spl0_12),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f188,f1623])).
% 0.18/0.49 fof(f1625,plain,(
% 0.18/0.49 $false|~spl0_9|~spl0_10|~spl0_12),
% 0.18/0.49 inference(trivial_equality_resolution,[status(esa)],[f1624])).
% 0.18/0.49 fof(f1626,plain,(
% 0.18/0.49 ~spl0_9|~spl0_10|~spl0_12),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f1625])).
% 0.18/0.49 fof(f1645,plain,(
% 0.18/0.49 sk_c4=sk_c5|~spl0_4|~spl0_7),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f628,f623])).
% 0.18/0.49 fof(f1687,plain,(
% 0.18/0.49 sk_c2=multiply(inverse(sk_c9),sk_c9)|~spl0_10|~spl0_8|~spl0_0),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f673,f146])).
% 0.18/0.49 fof(f1688,plain,(
% 0.18/0.49 sk_c2=identity|~spl0_10|~spl0_8|~spl0_0),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f34,f1687])).
% 0.18/0.49 fof(f1690,plain,(
% 0.18/0.49 spl0_15 <=> identity=sk_c8),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f1692,plain,(
% 0.18/0.49 ~identity=sk_c8|spl0_15),
% 0.18/0.49 inference(component_clause,[status(thm)],[f1690])).
% 0.18/0.49 fof(f1697,plain,(
% 0.18/0.49 spl0_16 <=> inverse(inverse(sk_c9))=sk_c9),
% 0.18/0.49 introduced(split_symbol_definition)).
% 0.18/0.49 fof(f1699,plain,(
% 0.18/0.49 ~inverse(inverse(sk_c9))=sk_c9|spl0_16),
% 0.18/0.49 inference(component_clause,[status(thm)],[f1697])).
% 0.18/0.49 fof(f1700,plain,(
% 0.18/0.49 ~identity=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~spl0_11),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f34,f128])).
% 0.18/0.49 fof(f1701,plain,(
% 0.18/0.49 ~spl0_15|~spl0_16|~spl0_11),
% 0.18/0.49 inference(split_clause,[status(thm)],[f1700,f1690,f1697,f127])).
% 0.18/0.49 fof(f1712,plain,(
% 0.18/0.49 ~sk_c9=sk_c9|spl0_16),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f188,f1699])).
% 0.18/0.49 fof(f1713,plain,(
% 0.18/0.49 $false|spl0_16),
% 0.18/0.49 inference(trivial_equality_resolution,[status(esa)],[f1712])).
% 0.18/0.49 fof(f1714,plain,(
% 0.18/0.49 spl0_16),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f1713])).
% 0.18/0.49 fof(f1715,plain,(
% 0.18/0.49 identity=sk_c8|~spl0_8|~spl0_2|~spl0_1),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f660,f697])).
% 0.18/0.49 fof(f1720,plain,(
% 0.18/0.49 ~identity=identity|~spl0_8|~spl0_2|~spl0_1|spl0_15),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f1715,f1692])).
% 0.18/0.49 fof(f1721,plain,(
% 0.18/0.49 $false|~spl0_8|~spl0_2|~spl0_1|spl0_15),
% 0.18/0.49 inference(trivial_equality_resolution,[status(esa)],[f1720])).
% 0.18/0.49 fof(f1722,plain,(
% 0.18/0.49 ~spl0_8|~spl0_2|~spl0_1|spl0_15),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f1721])).
% 0.18/0.49 fof(f1805,plain,(
% 0.18/0.49 multiply(sk_c4,sk_c7)=sk_c6|~spl0_4|~spl0_7|~spl0_6),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f1645,f90])).
% 0.18/0.49 fof(f1806,plain,(
% 0.18/0.49 sk_c8=sk_c6|~spl0_3|~spl0_4|~spl0_7|~spl0_6),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f78,f1805])).
% 0.18/0.49 fof(f2486,plain,(
% 0.18/0.49 multiply(sk_c7,sk_c8)=sk_c8|~spl0_3|~spl0_4|~spl0_7|~spl0_6|~spl0_5),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f1806,f86])).
% 0.18/0.49 fof(f2496,plain,(
% 0.18/0.49 inverse(sk_c7)=multiply(sk_c8,inverse(sk_c8))|~spl0_3|~spl0_4|~spl0_7|~spl0_6|~spl0_5),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f2486,f336])).
% 0.18/0.49 fof(f2497,plain,(
% 0.18/0.49 sk_c4=multiply(sk_c8,inverse(sk_c8))|~spl0_3|~spl0_4|~spl0_7|~spl0_6|~spl0_5),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f628,f2496])).
% 0.18/0.49 fof(f2498,plain,(
% 0.18/0.49 sk_c4=identity|~spl0_3|~spl0_4|~spl0_7|~spl0_6|~spl0_5),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f158,f2497])).
% 0.18/0.49 fof(f2505,plain,(
% 0.18/0.49 multiply(sk_c7,identity)=identity|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4),
% 0.18/0.49 inference(backward_demodulation,[status(thm)],[f2498,f631])).
% 0.18/0.49 fof(f2506,plain,(
% 0.18/0.49 sk_c7=identity|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f186,f2505])).
% 0.18/0.49 fof(f2507,plain,(
% 0.18/0.49 multiply(identity,sk_c7)=sk_c8|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3),
% 0.18/0.49 inference(backward_demodulation,[status(thm)],[f2498,f78])).
% 0.18/0.49 fof(f2508,plain,(
% 0.18/0.49 sk_c7=sk_c8|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f33,f2507])).
% 0.18/0.49 fof(f2514,plain,(
% 0.18/0.49 identity=sk_c8|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2506,f2508])).
% 0.18/0.49 fof(f2515,plain,(
% 0.18/0.49 $false|spl0_15|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f2514,f1692])).
% 0.18/0.49 fof(f2516,plain,(
% 0.18/0.49 spl0_15|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f2515])).
% 0.18/0.49 fof(f2532,plain,(
% 0.18/0.49 sk_c8=identity|~spl0_0|~spl0_8),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f67,f660])).
% 0.18/0.49 fof(f3025,plain,(
% 0.18/0.49 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c7|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_13)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2506,f134])).
% 0.18/0.49 fof(f3026,plain,(
% 0.18/0.49 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c7|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_13)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f186,f3025])).
% 0.18/0.49 fof(f3027,plain,(
% 0.18/0.49 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_13)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2514,f3026])).
% 0.18/0.49 fof(f3028,plain,(
% 0.18/0.49 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_13)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2506,f3027])).
% 0.18/0.49 fof(f3029,plain,(
% 0.18/0.49 ~inverse(identity)=identity|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_13),
% 0.18/0.49 inference(destructive_equality_resolution,[status(esa)],[f3028])).
% 0.18/0.49 fof(f3030,plain,(
% 0.18/0.49 $false|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_13),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f3029,f167])).
% 0.18/0.49 fof(f3031,plain,(
% 0.18/0.49 ~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_13),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f3030])).
% 0.18/0.49 fof(f3032,plain,(
% 0.18/0.49 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_12)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2514,f131])).
% 0.18/0.49 fof(f3033,plain,(
% 0.18/0.49 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c8|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_12)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f186,f3032])).
% 0.18/0.49 fof(f3034,plain,(
% 0.18/0.49 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_12)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2506,f3033])).
% 0.18/0.49 fof(f3035,plain,(
% 0.18/0.49 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_12)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2514,f3034])).
% 0.18/0.49 fof(f3036,plain,(
% 0.18/0.49 ~inverse(identity)=identity|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_12),
% 0.18/0.49 inference(destructive_equality_resolution,[status(esa)],[f3035])).
% 0.18/0.49 fof(f3037,plain,(
% 0.18/0.49 $false|~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_12),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f3036,f167])).
% 0.18/0.49 fof(f3038,plain,(
% 0.18/0.49 ~spl0_4|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_12),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f3037])).
% 0.18/0.49 fof(f3039,plain,(
% 0.18/0.49 ![X0]: (~multiply(identity,multiply(X0,sk_c7))=sk_c8|~inverse(X0)=sk_c7|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_14)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2506,f140])).
% 0.18/0.49 fof(f3040,plain,(
% 0.18/0.49 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_14)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f33,f3039])).
% 0.18/0.49 fof(f3041,plain,(
% 0.18/0.49 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c7|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_14)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2506,f3040])).
% 0.18/0.49 fof(f3042,plain,(
% 0.18/0.49 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c7|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_14)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f186,f3041])).
% 0.18/0.49 fof(f3043,plain,(
% 0.18/0.49 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_14)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2514,f3042])).
% 0.18/0.49 fof(f3044,plain,(
% 0.18/0.49 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_14)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f2506,f3043])).
% 0.18/0.49 fof(f3045,plain,(
% 0.18/0.49 ~inverse(identity)=identity|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_14),
% 0.18/0.49 inference(destructive_equality_resolution,[status(esa)],[f3044])).
% 0.18/0.49 fof(f3046,plain,(
% 0.18/0.49 $false|~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_14),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f3045,f167])).
% 0.18/0.49 fof(f3047,plain,(
% 0.18/0.49 ~spl0_3|~spl0_7|~spl0_6|~spl0_5|~spl0_4|~spl0_14),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f3046])).
% 0.18/0.49 fof(f3721,plain,(
% 0.18/0.49 spl0_15|~spl0_0|~spl0_8),
% 0.18/0.49 inference(split_clause,[status(thm)],[f2532,f1690,f66,f97])).
% 0.18/0.49 fof(f5751,plain,(
% 0.18/0.49 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c7|~spl0_9|~spl0_10|~spl0_13)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f652,f134])).
% 0.18/0.49 fof(f5752,plain,(
% 0.18/0.49 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c7|~spl0_9|~spl0_10|~spl0_13)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f186,f5751])).
% 0.18/0.49 fof(f5753,plain,(
% 0.18/0.49 ![X0]: (~X0=sk_c8|~inverse(X0)=identity|~spl0_9|~spl0_10|~spl0_13)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f652,f5752])).
% 0.18/0.49 fof(f5754,plain,(
% 0.18/0.49 ~inverse(sk_c8)=identity|~spl0_9|~spl0_10|~spl0_13),
% 0.18/0.49 inference(destructive_equality_resolution,[status(esa)],[f5753])).
% 0.18/0.49 fof(f5756,plain,(
% 0.18/0.49 sk_c8=inverse(identity)|~spl0_8|~spl0_0|~spl0_10|~spl0_9),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f1688,f1392])).
% 0.18/0.49 fof(f5757,plain,(
% 0.18/0.49 sk_c8=identity|~spl0_8|~spl0_0|~spl0_10|~spl0_9),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f167,f5756])).
% 0.18/0.49 fof(f6747,plain,(
% 0.18/0.49 ~inverse(identity)=identity|~spl0_8|~spl0_0|~spl0_9|~spl0_10|~spl0_13),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f5757,f5754])).
% 0.18/0.49 fof(f6748,plain,(
% 0.18/0.49 ~identity=identity|~spl0_8|~spl0_0|~spl0_9|~spl0_10|~spl0_13),
% 0.18/0.50 inference(forward_demodulation,[status(thm)],[f167,f6747])).
% 0.18/0.50 fof(f6749,plain,(
% 0.18/0.50 $false|~spl0_8|~spl0_0|~spl0_9|~spl0_10|~spl0_13),
% 0.18/0.50 inference(trivial_equality_resolution,[status(esa)],[f6748])).
% 0.18/0.50 fof(f6750,plain,(
% 0.18/0.50 ~spl0_8|~spl0_0|~spl0_9|~spl0_10|~spl0_13),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f6749])).
% 0.18/0.50 fof(f6752,plain,(
% 0.18/0.50 ![X0]: (~multiply(identity,multiply(X0,sk_c7))=sk_c8|~inverse(X0)=sk_c7|~spl0_9|~spl0_10|~spl0_14)),
% 0.18/0.50 inference(forward_demodulation,[status(thm)],[f652,f140])).
% 0.18/0.50 fof(f6753,plain,(
% 0.18/0.50 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_9|~spl0_10|~spl0_14)),
% 0.18/0.50 inference(forward_demodulation,[status(thm)],[f33,f6752])).
% 0.18/0.50 fof(f6754,plain,(
% 0.18/0.50 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c7|~spl0_9|~spl0_10|~spl0_14)),
% 0.18/0.50 inference(forward_demodulation,[status(thm)],[f652,f6753])).
% 0.18/0.50 fof(f6755,plain,(
% 0.18/0.50 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c7|~spl0_9|~spl0_10|~spl0_14)),
% 0.18/0.50 inference(forward_demodulation,[status(thm)],[f186,f6754])).
% 0.18/0.50 fof(f6756,plain,(
% 0.18/0.50 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_8|~spl0_0|~spl0_9|~spl0_10|~spl0_14)),
% 0.18/0.50 inference(forward_demodulation,[status(thm)],[f5757,f6755])).
% 0.18/0.50 fof(f6757,plain,(
% 0.18/0.50 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_8|~spl0_0|~spl0_9|~spl0_10|~spl0_14)),
% 0.18/0.50 inference(forward_demodulation,[status(thm)],[f652,f6756])).
% 0.18/0.50 fof(f6758,plain,(
% 0.18/0.50 ~inverse(identity)=identity|~spl0_8|~spl0_0|~spl0_9|~spl0_10|~spl0_14),
% 0.18/0.50 inference(destructive_equality_resolution,[status(esa)],[f6757])).
% 0.18/0.50 fof(f6759,plain,(
% 0.18/0.50 $false|~spl0_8|~spl0_0|~spl0_9|~spl0_10|~spl0_14),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f6758,f167])).
% 0.18/0.50 fof(f6760,plain,(
% 0.18/0.50 ~spl0_8|~spl0_0|~spl0_9|~spl0_10|~spl0_14),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f6759])).
% 0.18/0.50 fof(f6761,plain,(
% 0.18/0.50 $false),
% 0.18/0.50 inference(sat_refutation,[status(thm)],[f72,f76,f80,f84,f88,f92,f96,f102,f103,f104,f105,f106,f111,f112,f113,f114,f115,f116,f121,f122,f123,f124,f125,f126,f139,f1626,f1701,f1714,f1722,f2516,f3031,f3038,f3047,f3721,f6750,f6760])).
% 0.18/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.50 % Elapsed time: 0.168247 seconds
% 0.18/0.50 % CPU time: 1.208658 seconds
% 0.18/0.50 % Memory used: 74.876 MB
%------------------------------------------------------------------------------