TSTP Solution File: GRP298-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP298-1 : 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 12:11:15 EDT 2023
% Result : Unsatisfiable 0.16s 0.59s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n022.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue May 30 11:30:12 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Drodi V3.5.1
% 0.16/0.59 % Refutation found
% 0.16/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.59 fof(f1,axiom,(
% 0.16/0.59 (![X]: (multiply(identity,X) = X ))),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f2,axiom,(
% 0.16/0.59 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f3,axiom,(
% 0.16/0.59 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f4,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f5,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c2) = sk_c8 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f6,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f7,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f8,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f9,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f12,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f14,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f17,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f18,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f19,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f20,negated_conjecture,(
% 0.16/0.59 ( inverse(sk_c1) = sk_c8| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f21,negated_conjecture,(
% 0.16/0.59 ( inverse(sk_c1) = sk_c8| inverse(sk_c2) = sk_c8 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f22,negated_conjecture,(
% 0.16/0.59 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f23,negated_conjecture,(
% 0.16/0.59 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f24,negated_conjecture,(
% 0.16/0.59 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f25,negated_conjecture,(
% 0.16/0.59 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f26,negated_conjecture,(
% 0.16/0.59 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c5 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f27,negated_conjecture,(
% 0.16/0.59 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f28,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f29,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c2) = sk_c8 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f30,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f31,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f32,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f34,negated_conjecture,(
% 0.16/0.59 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f36,negated_conjecture,(
% 0.16/0.59 (![X2,X1,X3,X4,X5]: (( multiply(sk_c8,sk_c7) != sk_c6| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| multiply(sk_c6,sk_c8) != sk_c7| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,sk_c6) != sk_c7| inverse(X3) != sk_c8| multiply(X3,sk_c7) != sk_c8| multiply(X4,X5) != sk_c7| inverse(X4) != X5| multiply(X5,sk_c6) != sk_c7 ) ))),
% 0.16/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.59 fof(f37,plain,(
% 0.16/0.59 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.59 fof(f38,plain,(
% 0.16/0.59 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.59 fof(f39,plain,(
% 0.16/0.59 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.59 fof(f40,plain,(
% 0.16/0.59 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c2,sk_c8)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f4])).
% 0.16/0.59 fof(f41,plain,(
% 0.16/0.59 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c2)=sk_c8),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f5])).
% 0.16/0.59 fof(f42,plain,(
% 0.16/0.59 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c8,sk_c6)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f6])).
% 0.16/0.59 fof(f43,plain,(
% 0.16/0.59 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f7])).
% 0.16/0.59 fof(f44,plain,(
% 0.16/0.59 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f8])).
% 0.16/0.59 fof(f45,plain,(
% 0.16/0.59 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.59 fof(f48,plain,(
% 0.16/0.59 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.59 fof(f50,plain,(
% 0.16/0.59 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.59 fof(f53,plain,(
% 0.16/0.59 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c5)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.59 fof(f54,plain,(
% 0.16/0.59 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f18])).
% 0.16/0.59 fof(f55,plain,(
% 0.16/0.59 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.59 fof(f56,plain,(
% 0.16/0.59 inverse(sk_c1)=sk_c8|multiply(sk_c2,sk_c8)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.59 fof(f57,plain,(
% 0.16/0.59 inverse(sk_c1)=sk_c8|inverse(sk_c2)=sk_c8),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f21])).
% 0.16/0.59 fof(f58,plain,(
% 0.16/0.59 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f22])).
% 0.16/0.59 fof(f59,plain,(
% 0.16/0.59 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.59 fof(f60,plain,(
% 0.16/0.59 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f24])).
% 0.16/0.59 fof(f61,plain,(
% 0.16/0.59 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c5)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f25])).
% 0.16/0.59 fof(f62,plain,(
% 0.16/0.59 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c5),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f26])).
% 0.16/0.59 fof(f63,plain,(
% 0.16/0.59 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f27])).
% 0.16/0.59 fof(f64,plain,(
% 0.16/0.59 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f28])).
% 0.16/0.59 fof(f65,plain,(
% 0.16/0.59 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c2)=sk_c8),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f29])).
% 0.16/0.59 fof(f66,plain,(
% 0.16/0.59 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f30])).
% 0.16/0.59 fof(f67,plain,(
% 0.16/0.59 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f31])).
% 0.16/0.59 fof(f68,plain,(
% 0.16/0.59 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f32])).
% 0.16/0.59 fof(f70,plain,(
% 0.16/0.59 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f34])).
% 0.16/0.59 fof(f72,plain,(
% 0.16/0.59 ![X5]: ((![X4]: (((![X3]: ((((![X1]: ((((![X2]: ((~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~multiply(sk_c6,sk_c8)=sk_c7)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,sk_c6)=sk_c7)|~inverse(X3)=sk_c8)|~multiply(X3,sk_c7)=sk_c8))|~multiply(X4,X5)=sk_c7)|~inverse(X4)=X5))|~multiply(X5,sk_c6)=sk_c7)),
% 0.16/0.59 inference(miniscoping,[status(esa)],[f36])).
% 0.16/0.59 fof(f73,plain,(
% 0.16/0.59 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(sk_c6,sk_c8)=sk_c7|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~multiply(sk_c8,sk_c6)=sk_c7|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~multiply(X3,X4)=sk_c7|~inverse(X3)=X4|~multiply(X4,sk_c6)=sk_c7)),
% 0.16/0.59 inference(cnf_transformation,[status(esa)],[f72])).
% 0.16/0.59 fof(f74,plain,(
% 0.16/0.59 spl0_0 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f75,plain,(
% 0.16/0.59 multiply(sk_c8,sk_c7)=sk_c6|~spl0_0),
% 0.16/0.59 inference(component_clause,[status(thm)],[f74])).
% 0.16/0.59 fof(f76,plain,(
% 0.16/0.59 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_0),
% 0.16/0.59 inference(component_clause,[status(thm)],[f74])).
% 0.16/0.59 fof(f77,plain,(
% 0.16/0.59 spl0_1 <=> multiply(sk_c2,sk_c8)=sk_c7),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f78,plain,(
% 0.16/0.59 multiply(sk_c2,sk_c8)=sk_c7|~spl0_1),
% 0.16/0.59 inference(component_clause,[status(thm)],[f77])).
% 0.16/0.59 fof(f80,plain,(
% 0.16/0.59 spl0_0|spl0_1),
% 0.16/0.59 inference(split_clause,[status(thm)],[f40,f74,f77])).
% 0.16/0.59 fof(f81,plain,(
% 0.16/0.59 spl0_2 <=> inverse(sk_c2)=sk_c8),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f82,plain,(
% 0.16/0.59 inverse(sk_c2)=sk_c8|~spl0_2),
% 0.16/0.59 inference(component_clause,[status(thm)],[f81])).
% 0.16/0.59 fof(f84,plain,(
% 0.16/0.59 spl0_0|spl0_2),
% 0.16/0.59 inference(split_clause,[status(thm)],[f41,f74,f81])).
% 0.16/0.59 fof(f85,plain,(
% 0.16/0.59 spl0_3 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f86,plain,(
% 0.16/0.59 multiply(sk_c8,sk_c6)=sk_c7|~spl0_3),
% 0.16/0.59 inference(component_clause,[status(thm)],[f85])).
% 0.16/0.59 fof(f87,plain,(
% 0.16/0.59 ~multiply(sk_c8,sk_c6)=sk_c7|spl0_3),
% 0.16/0.59 inference(component_clause,[status(thm)],[f85])).
% 0.16/0.59 fof(f88,plain,(
% 0.16/0.59 spl0_0|spl0_3),
% 0.16/0.59 inference(split_clause,[status(thm)],[f42,f74,f85])).
% 0.16/0.59 fof(f89,plain,(
% 0.16/0.59 spl0_4 <=> inverse(sk_c3)=sk_c8),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f90,plain,(
% 0.16/0.59 inverse(sk_c3)=sk_c8|~spl0_4),
% 0.16/0.59 inference(component_clause,[status(thm)],[f89])).
% 0.16/0.59 fof(f92,plain,(
% 0.16/0.59 spl0_0|spl0_4),
% 0.16/0.59 inference(split_clause,[status(thm)],[f43,f74,f89])).
% 0.16/0.59 fof(f93,plain,(
% 0.16/0.59 spl0_5 <=> multiply(sk_c3,sk_c7)=sk_c8),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f94,plain,(
% 0.16/0.59 multiply(sk_c3,sk_c7)=sk_c8|~spl0_5),
% 0.16/0.59 inference(component_clause,[status(thm)],[f93])).
% 0.16/0.59 fof(f96,plain,(
% 0.16/0.59 spl0_0|spl0_5),
% 0.16/0.59 inference(split_clause,[status(thm)],[f44,f74,f93])).
% 0.16/0.59 fof(f97,plain,(
% 0.16/0.59 spl0_6 <=> multiply(sk_c4,sk_c5)=sk_c7),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f98,plain,(
% 0.16/0.59 multiply(sk_c4,sk_c5)=sk_c7|~spl0_6),
% 0.16/0.59 inference(component_clause,[status(thm)],[f97])).
% 0.16/0.59 fof(f99,plain,(
% 0.16/0.59 ~multiply(sk_c4,sk_c5)=sk_c7|spl0_6),
% 0.16/0.59 inference(component_clause,[status(thm)],[f97])).
% 0.16/0.59 fof(f100,plain,(
% 0.16/0.59 spl0_0|spl0_6),
% 0.16/0.59 inference(split_clause,[status(thm)],[f45,f74,f97])).
% 0.16/0.59 fof(f101,plain,(
% 0.16/0.59 spl0_7 <=> inverse(sk_c4)=sk_c5),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f102,plain,(
% 0.16/0.59 inverse(sk_c4)=sk_c5|~spl0_7),
% 0.16/0.59 inference(component_clause,[status(thm)],[f101])).
% 0.16/0.59 fof(f105,plain,(
% 0.16/0.59 spl0_8 <=> multiply(sk_c5,sk_c6)=sk_c7),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f106,plain,(
% 0.16/0.59 multiply(sk_c5,sk_c6)=sk_c7|~spl0_8),
% 0.16/0.59 inference(component_clause,[status(thm)],[f105])).
% 0.16/0.59 fof(f109,plain,(
% 0.16/0.59 spl0_9 <=> multiply(sk_c1,sk_c8)=sk_c7),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f110,plain,(
% 0.16/0.59 multiply(sk_c1,sk_c8)=sk_c7|~spl0_9),
% 0.16/0.59 inference(component_clause,[status(thm)],[f109])).
% 0.16/0.59 fof(f112,plain,(
% 0.16/0.59 spl0_9|spl0_1),
% 0.16/0.59 inference(split_clause,[status(thm)],[f48,f109,f77])).
% 0.16/0.59 fof(f114,plain,(
% 0.16/0.59 spl0_9|spl0_3),
% 0.16/0.59 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.16/0.59 fof(f117,plain,(
% 0.16/0.59 spl0_9|spl0_6),
% 0.16/0.59 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.16/0.59 fof(f118,plain,(
% 0.16/0.59 spl0_9|spl0_7),
% 0.16/0.59 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.16/0.59 fof(f119,plain,(
% 0.16/0.59 spl0_9|spl0_8),
% 0.16/0.59 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.16/0.59 fof(f120,plain,(
% 0.16/0.59 spl0_10 <=> inverse(sk_c1)=sk_c8),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f121,plain,(
% 0.16/0.59 inverse(sk_c1)=sk_c8|~spl0_10),
% 0.16/0.59 inference(component_clause,[status(thm)],[f120])).
% 0.16/0.59 fof(f123,plain,(
% 0.16/0.59 spl0_10|spl0_1),
% 0.16/0.59 inference(split_clause,[status(thm)],[f56,f120,f77])).
% 0.16/0.59 fof(f124,plain,(
% 0.16/0.59 spl0_10|spl0_2),
% 0.16/0.59 inference(split_clause,[status(thm)],[f57,f120,f81])).
% 0.16/0.59 fof(f125,plain,(
% 0.16/0.59 spl0_10|spl0_3),
% 0.16/0.59 inference(split_clause,[status(thm)],[f58,f120,f85])).
% 0.16/0.59 fof(f126,plain,(
% 0.16/0.59 spl0_10|spl0_4),
% 0.16/0.59 inference(split_clause,[status(thm)],[f59,f120,f89])).
% 0.16/0.59 fof(f127,plain,(
% 0.16/0.59 spl0_10|spl0_5),
% 0.16/0.59 inference(split_clause,[status(thm)],[f60,f120,f93])).
% 0.16/0.59 fof(f128,plain,(
% 0.16/0.59 spl0_10|spl0_6),
% 0.16/0.59 inference(split_clause,[status(thm)],[f61,f120,f97])).
% 0.16/0.59 fof(f129,plain,(
% 0.16/0.59 spl0_10|spl0_7),
% 0.16/0.59 inference(split_clause,[status(thm)],[f62,f120,f101])).
% 0.16/0.59 fof(f130,plain,(
% 0.16/0.59 spl0_10|spl0_8),
% 0.16/0.59 inference(split_clause,[status(thm)],[f63,f120,f105])).
% 0.16/0.59 fof(f131,plain,(
% 0.16/0.59 spl0_11 <=> multiply(sk_c6,sk_c8)=sk_c7),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f132,plain,(
% 0.16/0.59 multiply(sk_c6,sk_c8)=sk_c7|~spl0_11),
% 0.16/0.59 inference(component_clause,[status(thm)],[f131])).
% 0.16/0.59 fof(f133,plain,(
% 0.16/0.59 ~multiply(sk_c6,sk_c8)=sk_c7|spl0_11),
% 0.16/0.59 inference(component_clause,[status(thm)],[f131])).
% 0.16/0.59 fof(f134,plain,(
% 0.16/0.59 spl0_11|spl0_1),
% 0.16/0.59 inference(split_clause,[status(thm)],[f64,f131,f77])).
% 0.16/0.59 fof(f135,plain,(
% 0.16/0.59 spl0_11|spl0_2),
% 0.16/0.59 inference(split_clause,[status(thm)],[f65,f131,f81])).
% 0.16/0.59 fof(f136,plain,(
% 0.16/0.59 spl0_11|spl0_3),
% 0.16/0.59 inference(split_clause,[status(thm)],[f66,f131,f85])).
% 0.16/0.59 fof(f137,plain,(
% 0.16/0.59 spl0_11|spl0_4),
% 0.16/0.59 inference(split_clause,[status(thm)],[f67,f131,f89])).
% 0.16/0.59 fof(f138,plain,(
% 0.16/0.59 spl0_11|spl0_5),
% 0.16/0.59 inference(split_clause,[status(thm)],[f68,f131,f93])).
% 0.16/0.59 fof(f140,plain,(
% 0.16/0.59 spl0_11|spl0_7),
% 0.16/0.59 inference(split_clause,[status(thm)],[f70,f131,f101])).
% 0.16/0.59 fof(f142,plain,(
% 0.16/0.59 spl0_12 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f143,plain,(
% 0.16/0.59 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 0.16/0.59 inference(component_clause,[status(thm)],[f142])).
% 0.16/0.59 fof(f145,plain,(
% 0.16/0.59 spl0_13 <=> ~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f146,plain,(
% 0.16/0.59 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_13)),
% 0.16/0.59 inference(component_clause,[status(thm)],[f145])).
% 0.16/0.59 fof(f148,plain,(
% 0.16/0.59 spl0_14 <=> ~multiply(X3,X4)=sk_c7|~inverse(X3)=X4|~multiply(X4,sk_c6)=sk_c7),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f149,plain,(
% 0.16/0.59 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c6)=sk_c7|~spl0_14)),
% 0.16/0.59 inference(component_clause,[status(thm)],[f148])).
% 0.16/0.59 fof(f151,plain,(
% 0.16/0.59 ~spl0_0|spl0_12|~spl0_11|~spl0_3|spl0_13|spl0_14),
% 0.16/0.59 inference(split_clause,[status(thm)],[f73,f74,f142,f131,f85,f145,f148])).
% 0.16/0.59 fof(f152,plain,(
% 0.16/0.59 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c6)=sk_c7|~spl0_14)),
% 0.16/0.59 inference(destructive_equality_resolution,[status(esa)],[f149])).
% 0.16/0.59 fof(f157,plain,(
% 0.16/0.59 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f38,f39])).
% 0.16/0.59 fof(f158,plain,(
% 0.16/0.59 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.59 inference(forward_demodulation,[status(thm)],[f37,f157])).
% 0.16/0.59 fof(f159,plain,(
% 0.16/0.59 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f158,f158])).
% 0.16/0.59 fof(f160,plain,(
% 0.16/0.59 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f38,f158])).
% 0.16/0.59 fof(f162,plain,(
% 0.16/0.59 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f39,f158])).
% 0.16/0.59 fof(f169,plain,(
% 0.16/0.59 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f158,f159])).
% 0.16/0.59 fof(f170,plain,(
% 0.16/0.59 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f38,f159])).
% 0.16/0.59 fof(f179,plain,(
% 0.16/0.59 inverse(identity)=identity),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f37,f170])).
% 0.16/0.59 fof(f198,plain,(
% 0.16/0.59 ![X0]: (X0=multiply(X0,identity))),
% 0.16/0.59 inference(forward_demodulation,[status(thm)],[f159,f160])).
% 0.16/0.59 fof(f199,plain,(
% 0.16/0.59 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f159,f198])).
% 0.16/0.59 fof(f200,plain,(
% 0.16/0.59 ![X0]: (inverse(inverse(X0))=X0)),
% 0.16/0.59 inference(forward_demodulation,[status(thm)],[f198,f199])).
% 0.16/0.59 fof(f226,plain,(
% 0.16/0.59 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X0))))),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f39,f162])).
% 0.16/0.59 fof(f227,plain,(
% 0.16/0.59 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(X3,X0)))))),
% 0.16/0.59 inference(forward_demodulation,[status(thm)],[f39,f226])).
% 0.16/0.59 fof(f251,plain,(
% 0.16/0.59 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f170,f162])).
% 0.16/0.59 fof(f252,plain,(
% 0.16/0.59 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.16/0.59 inference(forward_demodulation,[status(thm)],[f198,f251])).
% 0.16/0.59 fof(f276,plain,(
% 0.16/0.59 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(inverse(multiply(X2,X0)),multiply(X2,X1)))),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f169,f162])).
% 0.16/0.59 fof(f347,plain,(
% 0.16/0.59 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f252,f252])).
% 0.16/0.59 fof(f348,plain,(
% 0.16/0.59 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.16/0.59 inference(forward_demodulation,[status(thm)],[f200,f347])).
% 0.16/0.59 fof(f625,plain,(
% 0.16/0.59 inverse(sk_c8)=sk_c1|~spl0_10),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f121,f200])).
% 0.16/0.59 fof(f631,plain,(
% 0.16/0.59 multiply(sk_c4,sk_c5)=identity|~spl0_7),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f102,f170])).
% 0.16/0.59 fof(f633,plain,(
% 0.16/0.59 multiply(sk_c5,sk_c4)=identity|~spl0_7),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f102,f38])).
% 0.16/0.59 fof(f640,plain,(
% 0.16/0.59 inverse(sk_c8)=sk_c2|~spl0_2),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f82,f200])).
% 0.16/0.59 fof(f657,plain,(
% 0.16/0.59 sk_c8=multiply(inverse(sk_c1),sk_c7)|~spl0_9),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f110,f158])).
% 0.16/0.59 fof(f658,plain,(
% 0.16/0.59 sk_c8=multiply(sk_c8,sk_c7)|~spl0_10|~spl0_9),
% 0.16/0.59 inference(forward_demodulation,[status(thm)],[f121,f657])).
% 0.16/0.59 fof(f691,plain,(
% 0.16/0.59 inverse(sk_c5)=multiply(inverse(sk_c7),sk_c4)|~spl0_6),
% 0.16/0.59 inference(paramodulation,[status(thm)],[f98,f252])).
% 0.16/0.59 fof(f732,plain,(
% 0.16/0.59 ![X0]: (~identity=sk_c7|~multiply(inverse(X0),sk_c6)=sk_c7|~spl0_14)),
% 0.16/0.59 inference(forward_demodulation,[status(thm)],[f170,f152])).
% 0.16/0.59 fof(f733,plain,(
% 0.16/0.59 spl0_15 <=> identity=sk_c7),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f735,plain,(
% 0.16/0.59 ~identity=sk_c7|spl0_15),
% 0.16/0.59 inference(component_clause,[status(thm)],[f733])).
% 0.16/0.59 fof(f736,plain,(
% 0.16/0.59 spl0_16 <=> ~inverse(X0)=sk_c7),
% 0.16/0.59 introduced(split_symbol_definition)).
% 0.16/0.59 fof(f737,plain,(
% 0.16/0.59 ![X0]: (~inverse(X0)=sk_c7|~spl0_16)),
% 0.16/0.59 inference(component_clause,[status(thm)],[f736])).
% 0.16/0.60 fof(f741,plain,(
% 0.16/0.60 ~identity=sk_c7|~identity=sk_c7|~spl0_14),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f38,f732])).
% 0.16/0.60 fof(f742,plain,(
% 0.16/0.60 ~spl0_15|~spl0_14),
% 0.16/0.60 inference(split_clause,[status(thm)],[f741,f733,f148])).
% 0.16/0.60 fof(f777,plain,(
% 0.16/0.60 $false|~spl0_16),
% 0.16/0.60 inference(resolution,[status(thm)],[f737,f200])).
% 0.16/0.60 fof(f778,plain,(
% 0.16/0.60 ~spl0_16),
% 0.16/0.60 inference(contradiction_clause,[status(thm)],[f777])).
% 0.16/0.60 fof(f815,plain,(
% 0.16/0.60 sk_c7=identity|~spl0_6|~spl0_7),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f98,f631])).
% 0.16/0.60 fof(f816,plain,(
% 0.16/0.60 $false|spl0_15|~spl0_6|~spl0_7),
% 0.16/0.60 inference(forward_subsumption_resolution,[status(thm)],[f815,f735])).
% 0.16/0.60 fof(f817,plain,(
% 0.16/0.60 spl0_15|~spl0_6|~spl0_7),
% 0.16/0.60 inference(contradiction_clause,[status(thm)],[f816])).
% 0.16/0.60 fof(f819,plain,(
% 0.16/0.60 ![X0,X1]: (sk_c4=multiply(inverse(multiply(X0,multiply(X1,sk_c5))),multiply(X0,multiply(X1,identity)))|~spl0_7)),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f633,f227])).
% 0.16/0.60 fof(f820,plain,(
% 0.16/0.60 ![X0,X1]: (sk_c4=multiply(inverse(multiply(X0,multiply(X1,sk_c5))),multiply(X0,X1))|~spl0_7)),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f198,f819])).
% 0.16/0.60 fof(f1693,plain,(
% 0.16/0.60 sk_c7=multiply(inverse(sk_c8),sk_c8)|~spl0_10|~spl0_9),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f658,f158])).
% 0.16/0.60 fof(f1694,plain,(
% 0.16/0.60 sk_c7=identity|~spl0_10|~spl0_9),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f38,f1693])).
% 0.16/0.60 fof(f1694,plain,(
% 0.16/0.60 sk_c7=identity|~spl0_10|~spl0_9),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f38,f1693])).
% 0.16/0.60 fof(f1757,plain,(
% 0.16/0.60 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,identity)=sk_c8|~spl0_10|~spl0_9|~spl0_13)),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1694,f146])).
% 0.16/0.60 fof(f1758,plain,(
% 0.16/0.60 ![X0]: (~inverse(X0)=sk_c8|~X0=sk_c8|~spl0_10|~spl0_9|~spl0_13)),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f198,f1757])).
% 0.16/0.60 fof(f1759,plain,(
% 0.16/0.60 ~inverse(sk_c8)=sk_c8|~spl0_10|~spl0_9|~spl0_13),
% 0.16/0.60 inference(destructive_equality_resolution,[status(esa)],[f1758])).
% 0.16/0.60 fof(f1800,plain,(
% 0.16/0.60 inverse(sk_c5)=multiply(inverse(identity),sk_c4)|~spl0_10|~spl0_9|~spl0_6),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1694,f691])).
% 0.16/0.60 fof(f1801,plain,(
% 0.16/0.60 inverse(sk_c5)=multiply(identity,sk_c4)|~spl0_10|~spl0_9|~spl0_6),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f179,f1800])).
% 0.16/0.60 fof(f1802,plain,(
% 0.16/0.60 inverse(sk_c5)=sk_c4|~spl0_10|~spl0_9|~spl0_6),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f37,f1801])).
% 0.16/0.60 fof(f1820,plain,(
% 0.16/0.60 inverse(sk_c4)=sk_c5|~spl0_10|~spl0_9|~spl0_6),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f1802,f200])).
% 0.16/0.60 fof(f1821,plain,(
% 0.16/0.60 spl0_7|~spl0_10|~spl0_9|~spl0_6),
% 0.16/0.60 inference(split_clause,[status(thm)],[f1820,f101,f120,f109,f97])).
% 0.16/0.60 fof(f1825,plain,(
% 0.16/0.60 ![X0]: (sk_c4=multiply(inverse(multiply(X0,sk_c5)),X0)|~spl0_7)),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f276,f820])).
% 0.16/0.60 fof(f1826,plain,(
% 0.16/0.60 sk_c4=inverse(sk_c5)|~spl0_7),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f252,f1825])).
% 0.16/0.60 fof(f1833,plain,(
% 0.16/0.60 ~multiply(sk_c4,sk_c5)=identity|~spl0_10|~spl0_9|spl0_6),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1694,f99])).
% 0.16/0.60 fof(f1843,plain,(
% 0.16/0.60 multiply(sk_c4,sk_c5)=identity|~spl0_7),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f1826,f38])).
% 0.16/0.60 fof(f1853,plain,(
% 0.16/0.60 multiply(sk_c8,identity)=sk_c6|~spl0_10|~spl0_9|~spl0_0),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1694,f75])).
% 0.16/0.60 fof(f1854,plain,(
% 0.16/0.60 sk_c8=sk_c6|~spl0_10|~spl0_9|~spl0_0),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f198,f1853])).
% 0.16/0.60 fof(f1855,plain,(
% 0.16/0.60 multiply(sk_c8,sk_c8)=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1854,f132])).
% 0.16/0.60 fof(f1856,plain,(
% 0.16/0.60 multiply(sk_c8,sk_c8)=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1694,f1855])).
% 0.16/0.60 fof(f1872,plain,(
% 0.16/0.60 inverse(sk_c8)=multiply(inverse(identity),sk_c8)|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f1856,f252])).
% 0.16/0.60 fof(f1873,plain,(
% 0.16/0.60 sk_c1=multiply(inverse(identity),sk_c8)|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f625,f1872])).
% 0.16/0.60 fof(f1874,plain,(
% 0.16/0.60 sk_c1=multiply(identity,sk_c8)|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f179,f1873])).
% 0.16/0.60 fof(f1875,plain,(
% 0.16/0.60 sk_c1=sk_c8|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f37,f1874])).
% 0.16/0.60 fof(f1876,plain,(
% 0.16/0.60 sk_c8=multiply(inverse(sk_c8),identity)|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f1856,f158])).
% 0.16/0.60 fof(f1877,plain,(
% 0.16/0.60 sk_c8=inverse(sk_c8)|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f198,f1876])).
% 0.16/0.60 fof(f1878,plain,(
% 0.16/0.60 sk_c8=sk_c1|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f625,f1877])).
% 0.16/0.60 fof(f1885,plain,(
% 0.16/0.60 inverse(sk_c8)=sk_c8|~spl0_9|~spl0_0|~spl0_11|~spl0_10),
% 0.16/0.60 inference(backward_demodulation,[status(thm)],[f1875,f121])).
% 0.16/0.60 fof(f1886,plain,(
% 0.16/0.60 $false|~spl0_13|~spl0_9|~spl0_0|~spl0_11|~spl0_10),
% 0.16/0.60 inference(forward_subsumption_resolution,[status(thm)],[f1885,f1759])).
% 0.16/0.60 fof(f1887,plain,(
% 0.16/0.60 ~spl0_13|~spl0_9|~spl0_0|~spl0_11|~spl0_10),
% 0.16/0.60 inference(contradiction_clause,[status(thm)],[f1886])).
% 0.16/0.60 fof(f1909,plain,(
% 0.16/0.60 multiply(sk_c2,sk_c8)=identity|~spl0_6|~spl0_7|~spl0_1),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f815,f78])).
% 0.16/0.60 fof(f1937,plain,(
% 0.16/0.60 multiply(sk_c8,sk_c6)=identity|~spl0_6|~spl0_7|~spl0_3),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f815,f86])).
% 0.16/0.60 fof(f1946,plain,(
% 0.16/0.60 inverse(sk_c8)=multiply(sk_c6,inverse(identity))|~spl0_6|~spl0_7|~spl0_3),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f1937,f348])).
% 0.16/0.60 fof(f1947,plain,(
% 0.16/0.60 inverse(sk_c8)=multiply(sk_c6,identity)|~spl0_6|~spl0_7|~spl0_3),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f179,f1946])).
% 0.16/0.60 fof(f1948,plain,(
% 0.16/0.60 inverse(sk_c8)=sk_c6|~spl0_6|~spl0_7|~spl0_3),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f198,f1947])).
% 0.16/0.60 fof(f1949,plain,(
% 0.16/0.60 inverse(sk_c6)=multiply(inverse(identity),sk_c8)|~spl0_6|~spl0_7|~spl0_3),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f1937,f252])).
% 0.16/0.60 fof(f1950,plain,(
% 0.16/0.60 inverse(sk_c6)=multiply(identity,sk_c8)|~spl0_6|~spl0_7|~spl0_3),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f179,f1949])).
% 0.16/0.60 fof(f1951,plain,(
% 0.16/0.60 inverse(sk_c6)=sk_c8|~spl0_6|~spl0_7|~spl0_3),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f37,f1950])).
% 0.16/0.60 fof(f2607,plain,(
% 0.16/0.60 inverse(sk_c8)=sk_c3|~spl0_4),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f90,f200])).
% 0.16/0.60 fof(f2608,plain,(
% 0.16/0.60 sk_c2=sk_c3|~spl0_2|~spl0_4),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f640,f2607])).
% 0.16/0.60 fof(f2615,plain,(
% 0.16/0.60 multiply(sk_c5,sk_c6)=identity|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f815,f106])).
% 0.16/0.60 fof(f2627,plain,(
% 0.16/0.60 inverse(sk_c5)=multiply(sk_c6,inverse(identity))|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f2615,f348])).
% 0.16/0.60 fof(f2628,plain,(
% 0.16/0.60 sk_c4=multiply(sk_c6,inverse(identity))|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1826,f2627])).
% 0.16/0.60 fof(f2629,plain,(
% 0.16/0.60 sk_c4=multiply(sk_c6,identity)|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f179,f2628])).
% 0.16/0.60 fof(f2630,plain,(
% 0.16/0.60 sk_c4=sk_c6|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f198,f2629])).
% 0.16/0.60 fof(f2631,plain,(
% 0.16/0.60 inverse(sk_c6)=multiply(inverse(identity),sk_c5)|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(paramodulation,[status(thm)],[f2615,f252])).
% 0.16/0.60 fof(f2632,plain,(
% 0.16/0.60 inverse(sk_c6)=multiply(identity,sk_c5)|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f179,f2631])).
% 0.16/0.60 fof(f2633,plain,(
% 0.16/0.60 inverse(sk_c6)=sk_c5|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f37,f2632])).
% 0.16/0.60 fof(f2643,plain,(
% 0.16/0.60 sk_c2=sk_c6|~spl0_2|~spl0_6|~spl0_7|~spl0_3),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f640,f1948])).
% 0.16/0.60 fof(f2647,plain,(
% 0.16/0.60 multiply(sk_c6,sk_c8)=identity|~spl0_2|~spl0_3|~spl0_6|~spl0_7|~spl0_1),
% 0.16/0.60 inference(backward_demodulation,[status(thm)],[f2643,f1909])).
% 0.16/0.60 fof(f2669,plain,(
% 0.16/0.60 multiply(sk_c8,identity)=sk_c6|~spl0_6|~spl0_7|~spl0_0),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f815,f75])).
% 0.16/0.60 fof(f2670,plain,(
% 0.16/0.60 sk_c8=sk_c6|~spl0_6|~spl0_7|~spl0_0),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f198,f2669])).
% 0.16/0.60 fof(f2673,plain,(
% 0.16/0.60 sk_c4=sk_c8|~spl0_0|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(backward_demodulation,[status(thm)],[f2670,f2630])).
% 0.16/0.60 fof(f2677,plain,(
% 0.16/0.60 inverse(sk_c8)=sk_c8|~spl0_0|~spl0_6|~spl0_7|~spl0_3),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f2670,f1951])).
% 0.16/0.60 fof(f2688,plain,(
% 0.16/0.60 inverse(sk_c8)=sk_c5|~spl0_0|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f2670,f2633])).
% 0.16/0.60 fof(f2689,plain,(
% 0.16/0.60 sk_c8=sk_c5|~spl0_3|~spl0_0|~spl0_6|~spl0_7|~spl0_8),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f2677,f2688])).
% 0.16/0.60 fof(f2699,plain,(
% 0.16/0.60 multiply(sk_c8,sk_c5)=identity|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f2673,f631])).
% 0.16/0.60 fof(f2700,plain,(
% 0.16/0.60 multiply(sk_c8,sk_c8)=identity|~spl0_3|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f2689,f2699])).
% 0.16/0.60 fof(f2728,plain,(
% 0.16/0.60 ![X0]: (~multiply(X0,sk_c8)=identity|~inverse(X0)=sk_c8|~spl0_6|~spl0_7|~spl0_12)),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f815,f143])).
% 0.16/0.60 fof(f2729,plain,(
% 0.16/0.60 ~inverse(sk_c8)=sk_c8|~spl0_12|~spl0_3|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.16/0.60 inference(resolution,[status(thm)],[f2728,f2700])).
% 0.16/0.60 fof(f2730,plain,(
% 0.16/0.60 ~sk_c8=sk_c8|~spl0_12|~spl0_3|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f2677,f2729])).
% 0.16/0.60 fof(f2731,plain,(
% 0.16/0.60 $false|~spl0_12|~spl0_3|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.16/0.60 inference(trivial_equality_resolution,[status(esa)],[f2730])).
% 0.16/0.60 fof(f2732,plain,(
% 0.16/0.60 ~spl0_12|~spl0_3|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.16/0.60 inference(contradiction_clause,[status(thm)],[f2731])).
% 0.16/0.60 fof(f2741,plain,(
% 0.16/0.60 inverse(sk_c8)=sk_c8|~spl0_9|~spl0_0|~spl0_11|~spl0_10),
% 0.16/0.60 inference(backward_demodulation,[status(thm)],[f1875,f625])).
% 0.16/0.60 fof(f3064,plain,(
% 0.16/0.60 multiply(sk_c8,sk_c8)=sk_c7|~spl0_10|~spl0_0|~spl0_11|~spl0_9),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1878,f110])).
% 0.16/0.60 fof(f3065,plain,(
% 0.16/0.60 multiply(sk_c8,sk_c8)=identity|~spl0_10|~spl0_0|~spl0_11|~spl0_9),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1694,f3064])).
% 0.16/0.60 fof(f3175,plain,(
% 0.16/0.60 ~identity=identity|~spl0_7|~spl0_10|~spl0_9|spl0_6),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1843,f1833])).
% 0.16/0.60 fof(f3176,plain,(
% 0.16/0.60 $false|~spl0_7|~spl0_10|~spl0_9|spl0_6),
% 0.16/0.60 inference(trivial_equality_resolution,[status(esa)],[f3175])).
% 0.16/0.60 fof(f3177,plain,(
% 0.16/0.60 ~spl0_7|~spl0_10|~spl0_9|spl0_6),
% 0.16/0.60 inference(contradiction_clause,[status(thm)],[f3176])).
% 0.16/0.60 fof(f3182,plain,(
% 0.16/0.60 ![X0]: (~multiply(X0,sk_c8)=identity|~inverse(X0)=sk_c8|~spl0_10|~spl0_9|~spl0_12)),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f1694,f143])).
% 0.16/0.60 fof(f3183,plain,(
% 0.16/0.60 ~inverse(sk_c8)=sk_c8|~spl0_12|~spl0_10|~spl0_0|~spl0_11|~spl0_9),
% 0.16/0.60 inference(resolution,[status(thm)],[f3182,f3065])).
% 0.16/0.60 fof(f3184,plain,(
% 0.16/0.60 ~sk_c8=sk_c8|~spl0_12|~spl0_10|~spl0_0|~spl0_11|~spl0_9),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f2741,f3183])).
% 0.16/0.60 fof(f3185,plain,(
% 0.16/0.60 $false|~spl0_12|~spl0_10|~spl0_0|~spl0_11|~spl0_9),
% 0.16/0.60 inference(trivial_equality_resolution,[status(esa)],[f3184])).
% 0.16/0.60 fof(f3186,plain,(
% 0.16/0.60 ~spl0_12|~spl0_10|~spl0_0|~spl0_11|~spl0_9),
% 0.16/0.60 inference(contradiction_clause,[status(thm)],[f3185])).
% 0.16/0.60 fof(f3802,plain,(
% 0.16/0.60 multiply(sk_c8,sk_c8)=sk_c7|~spl0_6|~spl0_7|~spl0_0|~spl0_11),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f2670,f132])).
% 0.16/0.60 fof(f3803,plain,(
% 0.16/0.60 multiply(sk_c8,sk_c8)=identity|~spl0_6|~spl0_7|~spl0_0|~spl0_11),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f815,f3802])).
% 0.16/0.60 fof(f5827,plain,(
% 0.16/0.60 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,identity)=sk_c8|~spl0_6|~spl0_7|~spl0_13)),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f815,f146])).
% 0.16/0.60 fof(f5828,plain,(
% 0.16/0.60 ![X0]: (~inverse(X0)=sk_c8|~X0=sk_c8|~spl0_6|~spl0_7|~spl0_13)),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f198,f5827])).
% 0.16/0.60 fof(f5829,plain,(
% 0.16/0.60 ~inverse(sk_c8)=sk_c8|~spl0_6|~spl0_7|~spl0_13),
% 0.16/0.60 inference(destructive_equality_resolution,[status(esa)],[f5828])).
% 0.16/0.60 fof(f5830,plain,(
% 0.16/0.60 $false|~spl0_0|~spl0_3|~spl0_6|~spl0_7|~spl0_13),
% 0.16/0.60 inference(forward_subsumption_resolution,[status(thm)],[f5829,f2677])).
% 0.16/0.60 fof(f5831,plain,(
% 0.16/0.60 ~spl0_0|~spl0_3|~spl0_6|~spl0_7|~spl0_13),
% 0.16/0.60 inference(contradiction_clause,[status(thm)],[f5830])).
% 0.16/0.60 fof(f5850,plain,(
% 0.16/0.60 ~multiply(sk_c8,sk_c8)=sk_c7|~spl0_6|~spl0_7|~spl0_0|spl0_3),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f2670,f87])).
% 0.16/0.60 fof(f5851,plain,(
% 0.16/0.60 ~identity=sk_c7|~spl0_11|~spl0_6|~spl0_7|~spl0_0|spl0_3),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f3803,f5850])).
% 0.16/0.60 fof(f5852,plain,(
% 0.16/0.60 ~identity=identity|~spl0_11|~spl0_6|~spl0_7|~spl0_0|spl0_3),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f815,f5851])).
% 0.16/0.60 fof(f5853,plain,(
% 0.16/0.60 $false|~spl0_11|~spl0_6|~spl0_7|~spl0_0|spl0_3),
% 0.16/0.60 inference(trivial_equality_resolution,[status(esa)],[f5852])).
% 0.16/0.60 fof(f5854,plain,(
% 0.16/0.60 ~spl0_11|~spl0_6|~spl0_7|~spl0_0|spl0_3),
% 0.16/0.60 inference(contradiction_clause,[status(thm)],[f5853])).
% 0.16/0.60 fof(f5869,plain,(
% 0.16/0.60 multiply(sk_c3,identity)=sk_c8|~spl0_6|~spl0_7|~spl0_5),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f815,f94])).
% 0.16/0.60 fof(f5870,plain,(
% 0.16/0.60 sk_c3=sk_c8|~spl0_6|~spl0_7|~spl0_5),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f198,f5869])).
% 0.16/0.60 fof(f5908,plain,(
% 0.16/0.60 ~multiply(sk_c8,identity)=sk_c6|~spl0_6|~spl0_7|spl0_0),
% 0.16/0.60 inference(forward_demodulation,[status(thm)],[f815,f76])).
% 1.41/0.62 fof(f5909,plain,(
% 1.41/0.62 ~sk_c8=sk_c6|~spl0_6|~spl0_7|spl0_0),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f198,f5908])).
% 1.41/0.62 fof(f6918,plain,(
% 1.41/0.62 sk_c2=sk_c8|~spl0_2|~spl0_4|~spl0_6|~spl0_7|~spl0_5),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f2608,f5870])).
% 1.41/0.62 fof(f6949,plain,(
% 1.41/0.62 sk_c8=sk_c6|~spl0_4|~spl0_5|~spl0_2|~spl0_6|~spl0_7|~spl0_3),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f6918,f2643])).
% 1.41/0.62 fof(f6953,plain,(
% 1.41/0.62 ~sk_c8=sk_c8|~spl0_4|~spl0_5|~spl0_2|~spl0_3|~spl0_6|~spl0_7|spl0_0),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f6949,f5909])).
% 1.41/0.62 fof(f6954,plain,(
% 1.41/0.62 $false|~spl0_4|~spl0_5|~spl0_2|~spl0_3|~spl0_6|~spl0_7|spl0_0),
% 1.41/0.62 inference(trivial_equality_resolution,[status(esa)],[f6953])).
% 1.41/0.62 fof(f6955,plain,(
% 1.41/0.62 ~spl0_4|~spl0_5|~spl0_2|~spl0_3|~spl0_6|~spl0_7|spl0_0),
% 1.41/0.62 inference(contradiction_clause,[status(thm)],[f6954])).
% 1.41/0.62 fof(f11092,plain,(
% 1.41/0.62 ~multiply(sk_c8,sk_c8)=sk_c7|~spl0_10|~spl0_9|~spl0_0|spl0_3),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f1854,f87])).
% 1.41/0.62 fof(f11097,plain,(
% 1.41/0.62 ~multiply(sk_c8,sk_c8)=identity|~spl0_10|~spl0_9|~spl0_0|spl0_3),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f1694,f11092])).
% 1.41/0.62 fof(f11129,plain,(
% 1.41/0.62 multiply(sk_c8,sk_c8)=sk_c7|~spl0_10|~spl0_0|~spl0_11|~spl0_9),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f1878,f110])).
% 1.41/0.62 fof(f11130,plain,(
% 1.41/0.62 multiply(sk_c8,sk_c8)=identity|~spl0_10|~spl0_0|~spl0_11|~spl0_9),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f1694,f11129])).
% 1.41/0.62 fof(f11172,plain,(
% 1.41/0.62 ~identity=identity|~spl0_11|~spl0_10|~spl0_9|~spl0_0|spl0_3),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f11130,f11097])).
% 1.41/0.62 fof(f11173,plain,(
% 1.41/0.62 $false|~spl0_11|~spl0_10|~spl0_9|~spl0_0|spl0_3),
% 1.41/0.62 inference(trivial_equality_resolution,[status(esa)],[f11172])).
% 1.41/0.62 fof(f11174,plain,(
% 1.41/0.62 ~spl0_11|~spl0_10|~spl0_9|~spl0_0|spl0_3),
% 1.41/0.62 inference(contradiction_clause,[status(thm)],[f11173])).
% 1.41/0.62 fof(f13605,plain,(
% 1.41/0.62 multiply(sk_c8,sk_c8)=identity|~spl0_4|~spl0_5|~spl0_2|~spl0_3|~spl0_6|~spl0_7|~spl0_1),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f6949,f2647])).
% 1.41/0.62 fof(f26809,plain,(
% 1.41/0.62 ~multiply(sk_c8,sk_c8)=sk_c7|~spl0_4|~spl0_5|~spl0_2|~spl0_6|~spl0_7|~spl0_3|spl0_11),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f6949,f133])).
% 1.41/0.62 fof(f26810,plain,(
% 1.41/0.62 ~identity=sk_c7|~spl0_1|~spl0_4|~spl0_5|~spl0_2|~spl0_6|~spl0_7|~spl0_3|spl0_11),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f13605,f26809])).
% 1.41/0.62 fof(f26811,plain,(
% 1.41/0.62 ~identity=identity|~spl0_1|~spl0_4|~spl0_5|~spl0_2|~spl0_6|~spl0_7|~spl0_3|spl0_11),
% 1.41/0.62 inference(forward_demodulation,[status(thm)],[f815,f26810])).
% 1.41/0.62 fof(f26812,plain,(
% 1.41/0.62 $false|~spl0_1|~spl0_4|~spl0_5|~spl0_2|~spl0_6|~spl0_7|~spl0_3|spl0_11),
% 1.41/0.62 inference(trivial_equality_resolution,[status(esa)],[f26811])).
% 1.41/0.62 fof(f26813,plain,(
% 1.41/0.62 ~spl0_1|~spl0_4|~spl0_5|~spl0_2|~spl0_6|~spl0_7|~spl0_3|spl0_11),
% 1.41/0.62 inference(contradiction_clause,[status(thm)],[f26812])).
% 1.41/0.62 fof(f26818,plain,(
% 1.41/0.62 spl0_15|~spl0_10|~spl0_9),
% 1.41/0.62 inference(split_clause,[status(thm)],[f1694,f733,f120,f109])).
% 1.41/0.62 fof(f26823,plain,(
% 1.41/0.62 $false),
% 1.41/0.62 inference(sat_refutation,[status(thm)],[f80,f84,f88,f92,f96,f100,f112,f114,f117,f118,f119,f123,f124,f125,f126,f127,f128,f129,f130,f134,f135,f136,f137,f138,f140,f151,f742,f778,f817,f1821,f1887,f2732,f3177,f3186,f5831,f5854,f6955,f11174,f26813,f26818])).
% 1.41/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 1.41/0.62 % Elapsed time: 0.292842 seconds
% 1.41/0.62 % CPU time: 1.450718 seconds
% 1.41/0.62 % Memory used: 80.902 MB
%------------------------------------------------------------------------------