TSTP Solution File: GRP370-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP370-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:11:29 EDT 2023
% Result : Unsatisfiable 0.15s 0.35s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP370-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n029.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 11:47:37 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.15/0.35 % Refutation found
% 0.15/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.35 fof(f1,axiom,(
% 0.15/0.35 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f2,axiom,(
% 0.15/0.35 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f3,axiom,(
% 0.15/0.35 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f4,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c7,sk_c8) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f5,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c7,sk_c8) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f6,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c7,sk_c8) = sk_c9| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f7,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c7,sk_c8) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f8,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c7,sk_c8) = sk_c9| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f9,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c7,sk_c8) = sk_c9| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f10,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c7,sk_c8) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f11,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f12,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f13,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f14,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f15,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f16,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f17,negated_conjecture,(
% 0.15/0.35 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c5) = sk_c9 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f18,negated_conjecture,(
% 0.15/0.35 ( inverse(sk_c1) = sk_c2| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f19,negated_conjecture,(
% 0.15/0.35 ( inverse(sk_c1) = sk_c2| inverse(sk_c3) = sk_c9 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f20,negated_conjecture,(
% 0.15/0.35 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f21,negated_conjecture,(
% 0.15/0.35 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c7 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f22,negated_conjecture,(
% 0.15/0.35 ( inverse(sk_c1) = sk_c2| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f23,negated_conjecture,(
% 0.15/0.35 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f24,negated_conjecture,(
% 0.15/0.35 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c9 ) ),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f32,negated_conjecture,(
% 0.15/0.35 (![X3,X4,X1,X2,X5,X6]: (( multiply(sk_c7,sk_c8) != sk_c9| multiply(X3,X4) != sk_c8| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(sk_c9,X5) != sk_c7| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9 ) ))),
% 0.15/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f33,plain,(
% 0.15/0.35 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.35 fof(f34,plain,(
% 0.15/0.35 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.35 fof(f35,plain,(
% 0.15/0.35 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.35 fof(f36,plain,(
% 0.15/0.35 multiply(sk_c7,sk_c8)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.35 fof(f37,plain,(
% 0.15/0.35 multiply(sk_c7,sk_c8)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.35 fof(f38,plain,(
% 0.15/0.35 multiply(sk_c7,sk_c8)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.35 fof(f39,plain,(
% 0.15/0.35 multiply(sk_c7,sk_c8)=sk_c9|inverse(sk_c4)=sk_c7),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.35 fof(f40,plain,(
% 0.15/0.35 multiply(sk_c7,sk_c8)=sk_c9|multiply(sk_c9,sk_c6)=sk_c7),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.35 fof(f41,plain,(
% 0.15/0.35 multiply(sk_c7,sk_c8)=sk_c9|multiply(sk_c5,sk_c9)=sk_c6),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.35 fof(f42,plain,(
% 0.15/0.35 multiply(sk_c7,sk_c8)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.35 fof(f43,plain,(
% 0.15/0.35 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.35 fof(f44,plain,(
% 0.15/0.35 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.35 fof(f45,plain,(
% 0.15/0.35 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.35 fof(f46,plain,(
% 0.15/0.35 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.35 fof(f47,plain,(
% 0.15/0.35 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c9,sk_c6)=sk_c7),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.35 fof(f48,plain,(
% 0.15/0.35 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c5,sk_c9)=sk_c6),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.35 fof(f49,plain,(
% 0.15/0.35 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c5)=sk_c9),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.35 fof(f50,plain,(
% 0.15/0.35 inverse(sk_c1)=sk_c2|multiply(sk_c3,sk_c9)=sk_c8),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.35 fof(f51,plain,(
% 0.15/0.35 inverse(sk_c1)=sk_c2|inverse(sk_c3)=sk_c9),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.35 fof(f52,plain,(
% 0.15/0.35 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f20])).
% 0.15/0.35 fof(f53,plain,(
% 0.15/0.35 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c7),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f21])).
% 0.15/0.35 fof(f54,plain,(
% 0.15/0.35 inverse(sk_c1)=sk_c2|multiply(sk_c9,sk_c6)=sk_c7),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.35 fof(f55,plain,(
% 0.15/0.35 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c9)=sk_c6),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f23])).
% 0.15/0.35 fof(f56,plain,(
% 0.15/0.35 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c9),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.35 fof(f64,plain,(
% 0.15/0.35 ![X6]: ((![X5]: (((![X2]: (((![X1]: (((![X4]: ((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c9|~multiply(X3,X4)=sk_c8)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c7)=sk_c8)|~inverse(X2)=sk_c7))|~multiply(sk_c9,X5)=sk_c7)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9)),
% 0.15/0.35 inference(miniscoping,[status(esa)],[f32])).
% 0.15/0.35 fof(f65,plain,(
% 0.15/0.35 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c7,sk_c8)=sk_c9|~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7|~multiply(sk_c9,X4)=sk_c7|~multiply(X5,sk_c9)=X4|~inverse(X5)=sk_c9)),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f64])).
% 0.15/0.35 fof(f66,plain,(
% 0.15/0.35 spl0_0 <=> multiply(sk_c7,sk_c8)=sk_c9),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f67,plain,(
% 0.15/0.35 multiply(sk_c7,sk_c8)=sk_c9|~spl0_0),
% 0.15/0.35 inference(component_clause,[status(thm)],[f66])).
% 0.15/0.35 fof(f68,plain,(
% 0.15/0.35 ~multiply(sk_c7,sk_c8)=sk_c9|spl0_0),
% 0.15/0.35 inference(component_clause,[status(thm)],[f66])).
% 0.15/0.35 fof(f69,plain,(
% 0.15/0.35 spl0_1 <=> multiply(sk_c3,sk_c9)=sk_c8),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f70,plain,(
% 0.15/0.35 multiply(sk_c3,sk_c9)=sk_c8|~spl0_1),
% 0.15/0.35 inference(component_clause,[status(thm)],[f69])).
% 0.15/0.35 fof(f72,plain,(
% 0.15/0.35 spl0_0|spl0_1),
% 0.15/0.35 inference(split_clause,[status(thm)],[f36,f66,f69])).
% 0.15/0.35 fof(f73,plain,(
% 0.15/0.35 spl0_2 <=> inverse(sk_c3)=sk_c9),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f74,plain,(
% 0.15/0.35 inverse(sk_c3)=sk_c9|~spl0_2),
% 0.15/0.35 inference(component_clause,[status(thm)],[f73])).
% 0.15/0.35 fof(f76,plain,(
% 0.15/0.35 spl0_0|spl0_2),
% 0.15/0.35 inference(split_clause,[status(thm)],[f37,f66,f73])).
% 0.15/0.35 fof(f77,plain,(
% 0.15/0.35 spl0_3 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f78,plain,(
% 0.15/0.35 multiply(sk_c4,sk_c7)=sk_c8|~spl0_3),
% 0.15/0.35 inference(component_clause,[status(thm)],[f77])).
% 0.15/0.35 fof(f80,plain,(
% 0.15/0.35 spl0_0|spl0_3),
% 0.15/0.35 inference(split_clause,[status(thm)],[f38,f66,f77])).
% 0.15/0.35 fof(f81,plain,(
% 0.15/0.35 spl0_4 <=> inverse(sk_c4)=sk_c7),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f82,plain,(
% 0.15/0.35 inverse(sk_c4)=sk_c7|~spl0_4),
% 0.15/0.35 inference(component_clause,[status(thm)],[f81])).
% 0.15/0.35 fof(f84,plain,(
% 0.15/0.35 spl0_0|spl0_4),
% 0.15/0.35 inference(split_clause,[status(thm)],[f39,f66,f81])).
% 0.15/0.35 fof(f85,plain,(
% 0.15/0.35 spl0_5 <=> multiply(sk_c9,sk_c6)=sk_c7),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f86,plain,(
% 0.15/0.35 multiply(sk_c9,sk_c6)=sk_c7|~spl0_5),
% 0.15/0.35 inference(component_clause,[status(thm)],[f85])).
% 0.15/0.35 fof(f88,plain,(
% 0.15/0.35 spl0_0|spl0_5),
% 0.15/0.35 inference(split_clause,[status(thm)],[f40,f66,f85])).
% 0.15/0.35 fof(f89,plain,(
% 0.15/0.35 spl0_6 <=> multiply(sk_c5,sk_c9)=sk_c6),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f90,plain,(
% 0.15/0.35 multiply(sk_c5,sk_c9)=sk_c6|~spl0_6),
% 0.15/0.35 inference(component_clause,[status(thm)],[f89])).
% 0.15/0.35 fof(f92,plain,(
% 0.15/0.35 spl0_0|spl0_6),
% 0.15/0.35 inference(split_clause,[status(thm)],[f41,f66,f89])).
% 0.15/0.35 fof(f93,plain,(
% 0.15/0.35 spl0_7 <=> inverse(sk_c5)=sk_c9),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f94,plain,(
% 0.15/0.35 inverse(sk_c5)=sk_c9|~spl0_7),
% 0.15/0.35 inference(component_clause,[status(thm)],[f93])).
% 0.15/0.35 fof(f96,plain,(
% 0.15/0.35 spl0_0|spl0_7),
% 0.15/0.35 inference(split_clause,[status(thm)],[f42,f66,f93])).
% 0.15/0.35 fof(f97,plain,(
% 0.15/0.35 spl0_8 <=> multiply(sk_c1,sk_c2)=sk_c8),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f98,plain,(
% 0.15/0.35 multiply(sk_c1,sk_c2)=sk_c8|~spl0_8),
% 0.15/0.35 inference(component_clause,[status(thm)],[f97])).
% 0.15/0.35 fof(f100,plain,(
% 0.15/0.35 spl0_8|spl0_1),
% 0.15/0.35 inference(split_clause,[status(thm)],[f43,f97,f69])).
% 0.15/0.35 fof(f101,plain,(
% 0.15/0.35 spl0_8|spl0_2),
% 0.15/0.35 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.15/0.35 fof(f102,plain,(
% 0.15/0.35 spl0_8|spl0_3),
% 0.15/0.35 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.15/0.35 fof(f103,plain,(
% 0.15/0.35 spl0_8|spl0_4),
% 0.15/0.35 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.15/0.35 fof(f104,plain,(
% 0.15/0.35 spl0_8|spl0_5),
% 0.15/0.35 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.15/0.35 fof(f105,plain,(
% 0.15/0.35 spl0_8|spl0_6),
% 0.15/0.35 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.15/0.35 fof(f106,plain,(
% 0.15/0.35 spl0_8|spl0_7),
% 0.15/0.35 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.15/0.35 fof(f107,plain,(
% 0.15/0.35 spl0_9 <=> inverse(sk_c1)=sk_c2),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f108,plain,(
% 0.15/0.35 inverse(sk_c1)=sk_c2|~spl0_9),
% 0.15/0.35 inference(component_clause,[status(thm)],[f107])).
% 0.15/0.35 fof(f110,plain,(
% 0.15/0.35 spl0_9|spl0_1),
% 0.15/0.35 inference(split_clause,[status(thm)],[f50,f107,f69])).
% 0.15/0.35 fof(f111,plain,(
% 0.15/0.35 spl0_9|spl0_2),
% 0.15/0.35 inference(split_clause,[status(thm)],[f51,f107,f73])).
% 0.15/0.35 fof(f112,plain,(
% 0.15/0.35 spl0_9|spl0_3),
% 0.15/0.35 inference(split_clause,[status(thm)],[f52,f107,f77])).
% 0.15/0.35 fof(f113,plain,(
% 0.15/0.35 spl0_9|spl0_4),
% 0.15/0.35 inference(split_clause,[status(thm)],[f53,f107,f81])).
% 0.15/0.35 fof(f114,plain,(
% 0.15/0.35 spl0_9|spl0_5),
% 0.15/0.35 inference(split_clause,[status(thm)],[f54,f107,f85])).
% 0.15/0.35 fof(f115,plain,(
% 0.15/0.35 spl0_9|spl0_6),
% 0.15/0.35 inference(split_clause,[status(thm)],[f55,f107,f89])).
% 0.15/0.35 fof(f116,plain,(
% 0.15/0.35 spl0_9|spl0_7),
% 0.15/0.35 inference(split_clause,[status(thm)],[f56,f107,f93])).
% 0.15/0.35 fof(f127,plain,(
% 0.15/0.35 spl0_11 <=> ~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f128,plain,(
% 0.15/0.35 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_11)),
% 0.15/0.35 inference(component_clause,[status(thm)],[f127])).
% 0.15/0.35 fof(f130,plain,(
% 0.15/0.35 spl0_12 <=> ~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f131,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_12)),
% 0.15/0.35 inference(component_clause,[status(thm)],[f130])).
% 0.15/0.35 fof(f133,plain,(
% 0.15/0.35 spl0_13 <=> ~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f134,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_13)),
% 0.15/0.35 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.35 fof(f136,plain,(
% 0.15/0.35 spl0_14 <=> ~multiply(sk_c9,X4)=sk_c7|~multiply(X5,sk_c9)=X4|~inverse(X5)=sk_c9),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f137,plain,(
% 0.15/0.35 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c7|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~spl0_14)),
% 0.15/0.35 inference(component_clause,[status(thm)],[f136])).
% 0.15/0.35 fof(f139,plain,(
% 0.15/0.35 ~spl0_0|spl0_11|spl0_12|spl0_13|spl0_14),
% 0.15/0.35 inference(split_clause,[status(thm)],[f65,f66,f127,f130,f133,f136])).
% 0.15/0.35 fof(f140,plain,(
% 0.15/0.35 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c7|~inverse(X0)=sk_c9|~spl0_14)),
% 0.15/0.35 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.15/0.35 fof(f145,plain,(
% 0.15/0.35 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f34,f35])).
% 0.15/0.35 fof(f146,plain,(
% 0.15/0.35 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f33,f145])).
% 0.15/0.35 fof(f147,plain,(
% 0.15/0.35 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f146,f146])).
% 0.15/0.35 fof(f148,plain,(
% 0.15/0.35 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f34,f146])).
% 0.15/0.35 fof(f157,plain,(
% 0.15/0.35 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f146,f147])).
% 0.15/0.35 fof(f158,plain,(
% 0.15/0.35 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f34,f147])).
% 0.15/0.35 fof(f186,plain,(
% 0.15/0.35 ![X0]: (X0=multiply(X0,identity))),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f147,f148])).
% 0.15/0.35 fof(f187,plain,(
% 0.15/0.35 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f147,f186])).
% 0.15/0.35 fof(f188,plain,(
% 0.15/0.35 ![X0]: (inverse(inverse(X0))=X0)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f186,f187])).
% 0.15/0.35 fof(f614,plain,(
% 0.15/0.35 multiply(sk_c1,sk_c2)=identity|~spl0_9),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f108,f158])).
% 0.15/0.35 fof(f618,plain,(
% 0.15/0.35 inverse(sk_c9)=sk_c5|~spl0_7),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f94,f188])).
% 0.15/0.35 fof(f623,plain,(
% 0.15/0.35 inverse(sk_c7)=sk_c4|~spl0_4),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f82,f188])).
% 0.15/0.35 fof(f624,plain,(
% 0.15/0.35 multiply(sk_c4,sk_c7)=identity|~spl0_4),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f82,f158])).
% 0.15/0.35 fof(f628,plain,(
% 0.15/0.35 inverse(sk_c9)=sk_c3|~spl0_2),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f74,f188])).
% 0.15/0.35 fof(f657,plain,(
% 0.15/0.35 sk_c5=sk_c3|~spl0_7|~spl0_2),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f618,f628])).
% 0.15/0.35 fof(f676,plain,(
% 0.15/0.35 multiply(sk_c3,sk_c9)=sk_c6|~spl0_7|~spl0_2|~spl0_6),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f657,f90])).
% 0.15/0.35 fof(f709,plain,(
% 0.15/0.35 sk_c7=multiply(inverse(sk_c4),sk_c8)|~spl0_3),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f78,f146])).
% 0.15/0.35 fof(f710,plain,(
% 0.15/0.35 sk_c7=multiply(sk_c7,sk_c8)|~spl0_4|~spl0_3),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f82,f709])).
% 0.15/0.35 fof(f712,plain,(
% 0.15/0.35 sk_c6=sk_c8|~spl0_7|~spl0_2|~spl0_6|~spl0_1),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f676,f70])).
% 0.15/0.35 fof(f728,plain,(
% 0.15/0.35 spl0_15 <=> sk_c9=sk_c7),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f730,plain,(
% 0.15/0.35 ~sk_c9=sk_c7|spl0_15),
% 0.15/0.35 inference(component_clause,[status(thm)],[f728])).
% 0.15/0.35 fof(f731,plain,(
% 0.15/0.35 spl0_16 <=> inverse(inverse(sk_c9))=sk_c9),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f733,plain,(
% 0.15/0.35 ~inverse(inverse(sk_c9))=sk_c9|spl0_16),
% 0.15/0.35 inference(component_clause,[status(thm)],[f731])).
% 0.15/0.35 fof(f734,plain,(
% 0.15/0.35 ~sk_c9=sk_c7|~inverse(inverse(sk_c9))=sk_c9|~spl0_14),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f157,f140])).
% 0.15/0.35 fof(f735,plain,(
% 0.15/0.35 ~spl0_15|~spl0_16|~spl0_14),
% 0.15/0.35 inference(split_clause,[status(thm)],[f734,f728,f731,f136])).
% 0.15/0.35 fof(f738,plain,(
% 0.15/0.35 spl0_17 <=> multiply(sk_c9,identity)=sk_c7),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f741,plain,(
% 0.15/0.35 ~multiply(sk_c9,identity)=sk_c7|~inverse(inverse(sk_c9))=sk_c9|~spl0_14),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f34,f140])).
% 0.15/0.35 fof(f742,plain,(
% 0.15/0.35 ~spl0_17|~spl0_16|~spl0_14),
% 0.15/0.35 inference(split_clause,[status(thm)],[f741,f738,f731,f136])).
% 0.15/0.35 fof(f743,plain,(
% 0.15/0.35 spl0_18 <=> multiply(sk_c9,sk_c9)=sk_c7),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f746,plain,(
% 0.15/0.35 spl0_19 <=> inverse(identity)=sk_c9),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f749,plain,(
% 0.15/0.35 ~multiply(sk_c9,sk_c9)=sk_c7|~inverse(identity)=sk_c9|~spl0_14),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f33,f140])).
% 0.15/0.35 fof(f750,plain,(
% 0.15/0.35 ~spl0_18|~spl0_19|~spl0_14),
% 0.15/0.35 inference(split_clause,[status(thm)],[f749,f743,f746,f136])).
% 0.15/0.35 fof(f754,plain,(
% 0.15/0.35 ~sk_c9=sk_c9|spl0_16),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f188,f733])).
% 0.15/0.35 fof(f755,plain,(
% 0.15/0.35 $false|spl0_16),
% 0.15/0.35 inference(trivial_equality_resolution,[status(esa)],[f754])).
% 0.15/0.35 fof(f756,plain,(
% 0.15/0.35 spl0_16),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f755])).
% 0.15/0.35 fof(f770,plain,(
% 0.15/0.35 sk_c8=identity|~spl0_8|~spl0_9),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f98,f614])).
% 0.15/0.35 fof(f775,plain,(
% 0.15/0.35 multiply(sk_c7,identity)=sk_c9|~spl0_8|~spl0_9|~spl0_0),
% 0.15/0.35 inference(backward_demodulation,[status(thm)],[f770,f67])).
% 0.15/0.35 fof(f776,plain,(
% 0.15/0.35 sk_c7=sk_c9|~spl0_8|~spl0_9|~spl0_0),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f186,f775])).
% 0.15/0.35 fof(f780,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,sk_c9)=identity|~inverse(X0)=sk_c9|~spl0_8|~spl0_9|~spl0_12)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f770,f131])).
% 0.15/0.35 fof(f781,plain,(
% 0.15/0.35 ![X0,X1]: (~multiply(X0,X1)=identity|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_8|~spl0_9|~spl0_11)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f770,f128])).
% 0.15/0.35 fof(f782,plain,(
% 0.15/0.35 ![X0,X1]: (~multiply(X0,X1)=identity|~inverse(X0)=X1|~multiply(X1,sk_c7)=identity|~spl0_8|~spl0_9|~spl0_11)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f770,f781])).
% 0.15/0.35 fof(f783,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c7)=identity|~spl0_8|~spl0_9|~spl0_11)),
% 0.15/0.35 inference(destructive_equality_resolution,[status(esa)],[f782])).
% 0.15/0.35 fof(f784,plain,(
% 0.15/0.35 ![X0]: (~multiply(inverse(X0),sk_c7)=identity|~spl0_8|~spl0_9|~spl0_11)),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f783,f158])).
% 0.15/0.35 fof(f795,plain,(
% 0.15/0.35 ~sk_c7=sk_c7|~spl0_8|~spl0_9|~spl0_0|spl0_15),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f776,f730])).
% 0.15/0.35 fof(f796,plain,(
% 0.15/0.35 $false|~spl0_8|~spl0_9|~spl0_0|spl0_15),
% 0.15/0.35 inference(trivial_equality_resolution,[status(esa)],[f795])).
% 0.15/0.35 fof(f797,plain,(
% 0.15/0.35 ~spl0_8|~spl0_9|~spl0_0|spl0_15),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f796])).
% 0.15/0.35 fof(f820,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_8|~spl0_9|~spl0_13)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f770,f134])).
% 0.15/0.35 fof(f1880,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c9|~spl0_0|~spl0_8|~spl0_9|~spl0_12)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f776,f780])).
% 0.15/0.35 fof(f1881,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_0|~spl0_8|~spl0_9|~spl0_12)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f776,f1880])).
% 0.15/0.35 fof(f1883,plain,(
% 0.15/0.35 ~inverse(inverse(sk_c7))=sk_c7|~spl0_0|~spl0_8|~spl0_9|~spl0_12),
% 0.15/0.35 inference(resolution,[status(thm)],[f1881,f34])).
% 0.15/0.35 fof(f1884,plain,(
% 0.15/0.35 ~sk_c7=sk_c7|~spl0_0|~spl0_8|~spl0_9|~spl0_12),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f188,f1883])).
% 0.15/0.35 fof(f1885,plain,(
% 0.15/0.35 $false|~spl0_0|~spl0_8|~spl0_9|~spl0_12),
% 0.15/0.35 inference(trivial_equality_resolution,[status(esa)],[f1884])).
% 0.15/0.35 fof(f1886,plain,(
% 0.15/0.35 ~spl0_0|~spl0_8|~spl0_9|~spl0_12),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f1885])).
% 0.15/0.35 fof(f1887,plain,(
% 0.15/0.35 $false|~spl0_8|~spl0_9|~spl0_11),
% 0.15/0.35 inference(resolution,[status(thm)],[f784,f34])).
% 0.15/0.35 fof(f1888,plain,(
% 0.15/0.35 ~spl0_8|~spl0_9|~spl0_11),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f1887])).
% 0.15/0.35 fof(f1905,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_11)),
% 0.15/0.35 inference(destructive_equality_resolution,[status(esa)],[f128])).
% 0.15/0.35 fof(f2543,plain,(
% 0.15/0.35 inverse(sk_c3)=sk_c9|~spl0_2|~spl0_7),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f657,f94])).
% 0.15/0.35 fof(f2553,plain,(
% 0.15/0.35 inverse(sk_c9)=sk_c3|~spl0_2|~spl0_7),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f657,f618])).
% 0.15/0.35 fof(f2616,plain,(
% 0.15/0.35 sk_c8=multiply(inverse(sk_c7),sk_c7)|~spl0_4|~spl0_3),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f710,f146])).
% 0.15/0.35 fof(f2617,plain,(
% 0.15/0.35 sk_c8=identity|~spl0_4|~spl0_3),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f34,f2616])).
% 0.15/0.35 fof(f2620,plain,(
% 0.15/0.35 sk_c6=identity|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_6|~spl0_1),
% 0.15/0.35 inference(backward_demodulation,[status(thm)],[f2617,f712])).
% 0.15/0.35 fof(f2650,plain,(
% 0.15/0.35 multiply(sk_c9,identity)=sk_c7|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_6|~spl0_1|~spl0_5),
% 0.15/0.35 inference(backward_demodulation,[status(thm)],[f2620,f86])).
% 0.15/0.35 fof(f2651,plain,(
% 0.15/0.35 sk_c9=sk_c7|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_6|~spl0_1|~spl0_5),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f186,f2650])).
% 0.15/0.35 fof(f2653,plain,(
% 0.15/0.35 inverse(sk_c7)=sk_c3|~spl0_4|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7),
% 0.15/0.35 inference(backward_demodulation,[status(thm)],[f2651,f2553])).
% 0.15/0.35 fof(f2654,plain,(
% 0.15/0.35 sk_c4=sk_c3|~spl0_4|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f623,f2653])).
% 0.15/0.35 fof(f2655,plain,(
% 0.15/0.35 inverse(sk_c3)=sk_c7|~spl0_4|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7),
% 0.15/0.35 inference(backward_demodulation,[status(thm)],[f2651,f2543])).
% 0.15/0.35 fof(f2703,plain,(
% 0.15/0.35 multiply(sk_c3,sk_c7)=identity|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7|~spl0_4),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f2654,f624])).
% 0.15/0.35 fof(f2733,plain,(
% 0.15/0.35 ![X0]: (~identity=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_11)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f158,f1905])).
% 0.15/0.35 fof(f2734,plain,(
% 0.15/0.35 ![X0]: (~identity=identity|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_4|~spl0_3|~spl0_11)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f2617,f2733])).
% 0.15/0.35 fof(f2735,plain,(
% 0.15/0.35 ![X0]: (~identity=identity|~multiply(inverse(X0),sk_c7)=identity|~spl0_4|~spl0_3|~spl0_11)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f2617,f2734])).
% 0.15/0.35 fof(f2736,plain,(
% 0.15/0.35 ![X0]: (~multiply(inverse(X0),sk_c7)=identity|~spl0_4|~spl0_3|~spl0_11)),
% 0.15/0.35 inference(trivial_equality_resolution,[status(esa)],[f2735])).
% 0.15/0.35 fof(f2737,plain,(
% 0.15/0.35 $false|~spl0_4|~spl0_3|~spl0_11),
% 0.15/0.35 inference(resolution,[status(thm)],[f2736,f34])).
% 0.15/0.35 fof(f2738,plain,(
% 0.15/0.35 ~spl0_4|~spl0_3|~spl0_11),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f2737])).
% 0.15/0.35 fof(f2739,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c9|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_6|~spl0_1|~spl0_5|~spl0_12)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f2651,f131])).
% 0.15/0.35 fof(f2740,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c9|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_6|~spl0_1|~spl0_5|~spl0_12)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f2617,f2739])).
% 0.15/0.35 fof(f2741,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_4|~spl0_3|~spl0_7|~spl0_2|~spl0_6|~spl0_1|~spl0_5|~spl0_12)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f2651,f2740])).
% 0.15/0.35 fof(f3093,plain,(
% 0.15/0.35 multiply(sk_c7,identity)=sk_c9|~spl0_4|~spl0_3|~spl0_0),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f2617,f67])).
% 0.15/0.35 fof(f3094,plain,(
% 0.15/0.35 sk_c7=sk_c9|~spl0_4|~spl0_3|~spl0_0),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f186,f3093])).
% 0.15/0.35 fof(f3144,plain,(
% 0.15/0.35 ~inverse(sk_c3)=sk_c7|~spl0_12|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7|~spl0_4),
% 0.15/0.35 inference(resolution,[status(thm)],[f2741,f2703])).
% 0.15/0.35 fof(f3145,plain,(
% 0.15/0.35 ~sk_c7=sk_c7|~spl0_12|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7|~spl0_4),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f2655,f3144])).
% 0.15/0.35 fof(f3146,plain,(
% 0.15/0.35 $false|~spl0_12|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7|~spl0_4),
% 0.15/0.35 inference(trivial_equality_resolution,[status(esa)],[f3145])).
% 0.15/0.35 fof(f3147,plain,(
% 0.15/0.35 ~spl0_12|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7|~spl0_4),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f3146])).
% 0.15/0.35 fof(f3184,plain,(
% 0.15/0.35 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_4|~spl0_3|~spl0_13)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f2617,f134])).
% 0.15/0.39 fof(f3813,plain,(
% 0.15/0.39 ~inverse(sk_c3)=sk_c7|~spl0_13|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7|~spl0_4),
% 0.15/0.39 inference(resolution,[status(thm)],[f3184,f2703])).
% 0.15/0.39 fof(f3814,plain,(
% 0.15/0.39 ~sk_c7=sk_c7|~spl0_13|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7|~spl0_4),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f2655,f3813])).
% 0.15/0.39 fof(f3815,plain,(
% 0.15/0.39 $false|~spl0_13|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7|~spl0_4),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f3814])).
% 0.15/0.39 fof(f3816,plain,(
% 0.15/0.39 ~spl0_13|~spl0_3|~spl0_6|~spl0_1|~spl0_5|~spl0_2|~spl0_7|~spl0_4),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f3815])).
% 0.15/0.39 fof(f3817,plain,(
% 0.15/0.39 ~multiply(sk_c7,identity)=sk_c9|~spl0_4|~spl0_3|spl0_0),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f2617,f68])).
% 0.15/0.39 fof(f3818,plain,(
% 0.15/0.39 ~sk_c7=sk_c9|~spl0_4|~spl0_3|spl0_0),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f186,f3817])).
% 0.15/0.39 fof(f3819,plain,(
% 0.15/0.39 ~sk_c7=sk_c7|~spl0_7|~spl0_2|~spl0_6|~spl0_1|~spl0_5|~spl0_4|~spl0_3|spl0_0),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f2651,f3818])).
% 0.15/0.39 fof(f3820,plain,(
% 0.15/0.39 $false|~spl0_7|~spl0_2|~spl0_6|~spl0_1|~spl0_5|~spl0_4|~spl0_3|spl0_0),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f3819])).
% 0.15/0.39 fof(f3821,plain,(
% 0.15/0.39 ~spl0_7|~spl0_2|~spl0_6|~spl0_1|~spl0_5|~spl0_4|~spl0_3|spl0_0),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f3820])).
% 0.15/0.39 fof(f3834,plain,(
% 0.15/0.39 ~inverse(inverse(sk_c7))=sk_c7|~spl0_8|~spl0_9|~spl0_13),
% 0.15/0.39 inference(resolution,[status(thm)],[f820,f34])).
% 0.15/0.39 fof(f3835,plain,(
% 0.15/0.39 ~sk_c7=sk_c7|~spl0_8|~spl0_9|~spl0_13),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f188,f3834])).
% 0.15/0.39 fof(f3836,plain,(
% 0.15/0.39 $false|~spl0_8|~spl0_9|~spl0_13),
% 0.15/0.39 inference(trivial_equality_resolution,[status(esa)],[f3835])).
% 0.15/0.39 fof(f3837,plain,(
% 0.15/0.39 ~spl0_8|~spl0_9|~spl0_13),
% 0.15/0.39 inference(contradiction_clause,[status(thm)],[f3836])).
% 0.15/0.39 fof(f3843,plain,(
% 0.15/0.39 spl0_15|~spl0_4|~spl0_3|~spl0_0),
% 0.15/0.39 inference(split_clause,[status(thm)],[f3094,f728,f81,f77,f66])).
% 0.15/0.39 fof(f3844,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(sat_refutation,[status(thm)],[f72,f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f115,f116,f139,f735,f742,f750,f756,f797,f1886,f1888,f2738,f3147,f3816,f3821,f3837,f3843])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.39 % Elapsed time: 0.082576 seconds
% 0.15/0.39 % CPU time: 0.079821 seconds
% 0.15/0.39 % Memory used: 10.737 MB
%------------------------------------------------------------------------------