TSTP Solution File: GRP212-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP212-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 : Tue Apr 30 20:19:45 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP212-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:46:44 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f24,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f26,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f29,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f30,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f31,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f32,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f33,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,negated_conjecture,(
% 0.13/0.39 (![X4,X5,X6,X1,X2,X3]: (( multiply(X4,X5) != sk_c8| inverse(X4) != X5| multiply(X5,sk_c7) != sk_c8| inverse(X6) != sk_c8| multiply(X6,sk_c7) != sk_c8| inverse(sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.39 fof(f54,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f20])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f22])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f29])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 ![X3]: ((![X2]: (((![X1]: ((((![X6]: (((![X5]: ((![X4]: (~multiply(X4,X5)=sk_c8|~inverse(X4)=X5))|~multiply(X5,sk_c7)=sk_c8))|~inverse(X6)=sk_c8)|~multiply(X6,sk_c7)=sk_c8))|~inverse(sk_c8)=sk_c7)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f34])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~inverse(sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f68])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 spl0_0 <=> multiply(sk_c1,sk_c2)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=sk_c8|~spl0_0),
% 0.13/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.39 fof(f73,plain,(
% 0.13/0.39 spl0_1 <=> inverse(sk_c8)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|~spl0_1),
% 0.13/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.39 fof(f75,plain,(
% 0.13/0.39 ~inverse(sk_c8)=sk_c7|spl0_1),
% 0.13/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 spl0_2 <=> inverse(sk_c4)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 inverse(sk_c4)=sk_c8|~spl0_2),
% 0.13/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 spl0_0|spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.13/0.39 fof(f81,plain,(
% 0.13/0.39 spl0_3 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c7)=sk_c8|~spl0_3),
% 0.13/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 spl0_0|spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.13/0.39 fof(f85,plain,(
% 0.13/0.39 spl0_4 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c6)=sk_c7|~spl0_4),
% 0.13/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 spl0_0|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.13/0.39 fof(f89,plain,(
% 0.13/0.39 spl0_5 <=> multiply(sk_c5,sk_c8)=sk_c6),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c8)=sk_c6|~spl0_5),
% 0.13/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.39 fof(f92,plain,(
% 0.13/0.39 spl0_0|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.13/0.39 fof(f93,plain,(
% 0.13/0.39 spl0_6 <=> inverse(sk_c5)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c8|~spl0_6),
% 0.13/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 spl0_0|spl0_6),
% 0.13/0.39 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.13/0.39 fof(f97,plain,(
% 0.13/0.39 spl0_7 <=> inverse(sk_c1)=sk_c2),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f98,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c2|~spl0_7),
% 0.13/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.39 fof(f100,plain,(
% 0.13/0.39 spl0_7|spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.13/0.39 fof(f101,plain,(
% 0.13/0.39 spl0_7|spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.13/0.39 fof(f102,plain,(
% 0.13/0.39 spl0_7|spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.13/0.39 fof(f103,plain,(
% 0.13/0.39 spl0_7|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.13/0.39 fof(f104,plain,(
% 0.13/0.39 spl0_7|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.13/0.39 fof(f105,plain,(
% 0.13/0.39 spl0_7|spl0_6),
% 0.13/0.39 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 spl0_8 <=> multiply(sk_c2,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f107,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=sk_c8|~spl0_8),
% 0.13/0.39 inference(component_clause,[status(thm)],[f106])).
% 0.13/0.39 fof(f109,plain,(
% 0.13/0.39 spl0_8|spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.13/0.39 fof(f110,plain,(
% 0.13/0.39 spl0_8|spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.13/0.39 fof(f111,plain,(
% 0.13/0.39 spl0_8|spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 spl0_8|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.13/0.39 fof(f113,plain,(
% 0.13/0.39 spl0_8|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.13/0.39 fof(f114,plain,(
% 0.13/0.39 spl0_8|spl0_6),
% 0.13/0.39 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.13/0.39 fof(f115,plain,(
% 0.13/0.39 spl0_9 <=> inverse(sk_c3)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c8|~spl0_9),
% 0.13/0.39 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.39 fof(f118,plain,(
% 0.13/0.39 spl0_9|spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.13/0.39 fof(f119,plain,(
% 0.13/0.39 spl0_9|spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.13/0.39 fof(f120,plain,(
% 0.13/0.39 spl0_9|spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.13/0.39 fof(f121,plain,(
% 0.13/0.39 spl0_9|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.13/0.39 fof(f122,plain,(
% 0.13/0.39 spl0_9|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.13/0.39 fof(f123,plain,(
% 0.13/0.39 spl0_9|spl0_6),
% 0.13/0.39 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.13/0.39 fof(f124,plain,(
% 0.13/0.39 spl0_10 <=> multiply(sk_c3,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f125,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|~spl0_10),
% 0.13/0.39 inference(component_clause,[status(thm)],[f124])).
% 0.13/0.39 fof(f127,plain,(
% 0.13/0.39 spl0_10|spl0_1),
% 0.13/0.39 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.13/0.39 fof(f128,plain,(
% 0.13/0.39 spl0_10|spl0_2),
% 0.13/0.39 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.13/0.39 fof(f129,plain,(
% 0.13/0.39 spl0_10|spl0_3),
% 0.13/0.39 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 spl0_10|spl0_4),
% 0.13/0.39 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.13/0.39 fof(f131,plain,(
% 0.13/0.39 spl0_10|spl0_5),
% 0.13/0.39 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 spl0_10|spl0_6),
% 0.13/0.39 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.13/0.39 fof(f133,plain,(
% 0.13/0.39 spl0_11 <=> ~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f134,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_11)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.39 fof(f136,plain,(
% 0.13/0.39 spl0_12 <=> ~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f137,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_12)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.39 fof(f139,plain,(
% 0.13/0.39 spl0_13 <=> ~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_13)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.39 fof(f142,plain,(
% 0.13/0.39 spl0_11|spl0_12|~spl0_1|spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f69,f133,f136,f73,f139])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(esa)],[f140])).
% 0.13/0.39 fof(f148,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.13/0.39 fof(f149,plain,(
% 0.13/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f35,f148])).
% 0.13/0.39 fof(f150,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f149,f149])).
% 0.13/0.39 fof(f151,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f149])).
% 0.13/0.39 fof(f153,plain,(
% 0.13/0.39 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f37,f149])).
% 0.13/0.39 fof(f160,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f149,f150])).
% 0.13/0.39 fof(f161,plain,(
% 0.13/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f150])).
% 0.13/0.39 fof(f170,plain,(
% 0.13/0.39 inverse(identity)=identity),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f35,f161])).
% 0.13/0.39 fof(f189,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f150,f151])).
% 0.13/0.39 fof(f190,plain,(
% 0.13/0.39 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f150,f189])).
% 0.13/0.39 fof(f191,plain,(
% 0.13/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f189,f190])).
% 0.13/0.39 fof(f242,plain,(
% 0.13/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f161,f153])).
% 0.13/0.39 fof(f243,plain,(
% 0.13/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f189,f242])).
% 0.13/0.39 fof(f338,plain,(
% 0.13/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f243,f243])).
% 0.13/0.39 fof(f339,plain,(
% 0.13/0.39 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f191,f338])).
% 0.13/0.39 fof(f616,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c3|~spl0_9),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f116,f191])).
% 0.13/0.39 fof(f621,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c1|~spl0_7),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f98,f191])).
% 0.13/0.39 fof(f622,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c2)=identity|~spl0_7),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f98,f161])).
% 0.13/0.39 fof(f631,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c4|~spl0_2),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f78,f191])).
% 0.13/0.39 fof(f716,plain,(
% 0.13/0.39 sk_c6=multiply(inverse(sk_c8),sk_c7)|~spl0_4),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f86,f149])).
% 0.13/0.39 fof(f717,plain,(
% 0.13/0.39 sk_c6=multiply(sk_c4,sk_c7)|~spl0_2|~spl0_4),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f631,f716])).
% 0.13/0.39 fof(f732,plain,(
% 0.13/0.39 spl0_14 <=> sk_c8=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f734,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|spl0_14),
% 0.13/0.39 inference(component_clause,[status(thm)],[f732])).
% 0.13/0.39 fof(f735,plain,(
% 0.13/0.39 spl0_15 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f737,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c8))=sk_c8|spl0_15),
% 0.13/0.39 inference(component_clause,[status(thm)],[f735])).
% 0.13/0.39 fof(f738,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_13),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f160,f143])).
% 0.13/0.39 fof(f739,plain,(
% 0.13/0.39 ~spl0_14|~spl0_15|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f738,f732,f735,f139])).
% 0.13/0.39 fof(f744,plain,(
% 0.13/0.39 spl0_16 <=> multiply(sk_c8,identity)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f747,plain,(
% 0.13/0.39 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_13),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f143])).
% 0.13/0.39 fof(f748,plain,(
% 0.13/0.39 ~spl0_16|~spl0_15|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f747,f744,f735,f139])).
% 0.13/0.39 fof(f749,plain,(
% 0.13/0.39 spl0_17 <=> multiply(sk_c8,sk_c8)=sk_c7),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f751,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c8)=sk_c7|spl0_17),
% 0.13/0.39 inference(component_clause,[status(thm)],[f749])).
% 0.13/0.39 fof(f752,plain,(
% 0.13/0.39 spl0_18 <=> inverse(identity)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f753,plain,(
% 0.13/0.39 inverse(identity)=sk_c8|~spl0_18),
% 0.13/0.39 inference(component_clause,[status(thm)],[f752])).
% 0.13/0.39 fof(f754,plain,(
% 0.13/0.39 ~inverse(identity)=sk_c8|spl0_18),
% 0.13/0.39 inference(component_clause,[status(thm)],[f752])).
% 0.13/0.39 fof(f755,plain,(
% 0.13/0.39 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~spl0_13),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f35,f143])).
% 0.13/0.39 fof(f756,plain,(
% 0.13/0.39 ~spl0_17|~spl0_18|~spl0_13),
% 0.13/0.39 inference(split_clause,[status(thm)],[f755,f749,f752,f139])).
% 0.13/0.39 fof(f758,plain,(
% 0.13/0.39 ~identity=sk_c8|spl0_18),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f170,f754])).
% 0.13/0.39 fof(f758,plain,(
% 0.13/0.39 ~identity=sk_c8|spl0_18),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f170,f754])).
% 0.13/0.39 fof(f760,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|spl0_15),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f191,f737])).
% 0.13/0.39 fof(f761,plain,(
% 0.13/0.39 $false|spl0_15),
% 0.13/0.39 inference(trivial_equality_resolution,[status(esa)],[f760])).
% 0.13/0.39 fof(f762,plain,(
% 0.13/0.39 spl0_15),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f761])).
% 0.13/0.39 fof(f763,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_11)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(esa)],[f134])).
% 0.13/0.39 fof(f764,plain,(
% 0.13/0.39 ~multiply(inverse(sk_c8),sk_c7)=sk_c8|~spl0_12),
% 0.13/0.39 inference(resolution,[status(thm)],[f137,f191])).
% 0.13/0.39 fof(f780,plain,(
% 0.13/0.39 spl0_22 <=> identity=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f781,plain,(
% 0.13/0.39 identity=sk_c8|~spl0_22),
% 0.13/0.39 inference(component_clause,[status(thm)],[f780])).
% 0.13/0.39 fof(f782,plain,(
% 0.13/0.39 ~identity=sk_c8|spl0_22),
% 0.13/0.39 inference(component_clause,[status(thm)],[f780])).
% 0.13/0.39 fof(f783,plain,(
% 0.13/0.39 spl0_23 <=> multiply(identity,sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f786,plain,(
% 0.13/0.39 ~identity=sk_c8|~multiply(identity,sk_c7)=sk_c8|~spl0_12),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f170,f137])).
% 0.13/0.39 fof(f787,plain,(
% 0.13/0.39 ~spl0_22|~spl0_23|~spl0_12),
% 0.13/0.39 inference(split_clause,[status(thm)],[f786,f780,f783,f136])).
% 0.13/0.39 fof(f841,plain,(
% 0.13/0.39 sk_c8=identity|~spl0_0|~spl0_7),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f71,f622])).
% 0.13/0.39 fof(f841,plain,(
% 0.13/0.39 sk_c8=identity|~spl0_0|~spl0_7),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f71,f622])).
% 0.13/0.39 fof(f842,plain,(
% 0.13/0.39 $false|spl0_18|~spl0_0|~spl0_7),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f841,f758])).
% 0.13/0.39 fof(f843,plain,(
% 0.13/0.39 spl0_18|~spl0_0|~spl0_7),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f842])).
% 0.13/0.39 fof(f844,plain,(
% 0.13/0.39 ~multiply(sk_c3,sk_c7)=sk_c8|~spl0_9|~spl0_12),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f616,f764])).
% 0.13/0.39 fof(f848,plain,(
% 0.13/0.39 sk_c6=sk_c8|~spl0_3|~spl0_2|~spl0_4),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f82,f717])).
% 0.13/0.39 fof(f861,plain,(
% 0.13/0.39 ![X0]: (~identity=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_11)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f161,f763])).
% 0.13/0.39 fof(f1676,plain,(
% 0.13/0.39 spl0_24 <=> ~multiply(inverse(X0),sk_c7)=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f1677,plain,(
% 0.13/0.39 ![X0]: (~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_24)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1676])).
% 0.13/0.39 fof(f1679,plain,(
% 0.13/0.39 ~spl0_22|spl0_24|~spl0_11),
% 0.13/0.39 inference(split_clause,[status(thm)],[f861,f780,f1676,f133])).
% 0.13/0.39 fof(f2469,plain,(
% 0.13/0.39 spl0_25 <=> inverse(inverse(sk_c7))=sk_c8),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f2472,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c7))=sk_c8|~identity=sk_c8|~spl0_12),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f36,f137])).
% 0.13/0.39 fof(f2473,plain,(
% 0.13/0.39 ~spl0_25|~spl0_22|~spl0_12),
% 0.13/0.39 inference(split_clause,[status(thm)],[f2472,f2469,f780,f136])).
% 0.13/0.39 fof(f2474,plain,(
% 0.13/0.39 ~inverse(identity)=sk_c8|~sk_c7=sk_c8|~spl0_12),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f35,f137])).
% 0.13/0.39 fof(f2475,plain,(
% 0.13/0.39 ~spl0_18|~spl0_14|~spl0_12),
% 0.13/0.39 inference(split_clause,[status(thm)],[f2474,f752,f732,f136])).
% 0.13/0.39 fof(f2477,plain,(
% 0.13/0.39 ~spl0_22|spl0_18),
% 0.13/0.39 inference(split_clause,[status(thm)],[f758,f780,f752])).
% 0.13/0.39 fof(f2496,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c8)=sk_c8|~spl0_3|~spl0_2|~spl0_4|~spl0_5),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f848,f90])).
% 0.13/0.39 fof(f2506,plain,(
% 0.13/0.39 inverse(sk_c5)=multiply(sk_c8,inverse(sk_c8))|~spl0_3|~spl0_2|~spl0_4|~spl0_5),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f2496,f339])).
% 0.13/0.39 fof(f2507,plain,(
% 0.13/0.39 sk_c8=multiply(sk_c8,inverse(sk_c8))|~spl0_6|~spl0_3|~spl0_2|~spl0_4|~spl0_5),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f94,f2506])).
% 0.13/0.39 fof(f2508,plain,(
% 0.13/0.39 sk_c8=identity|~spl0_6|~spl0_3|~spl0_2|~spl0_4|~spl0_5),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f161,f2507])).
% 0.13/0.39 fof(f2515,plain,(
% 0.13/0.39 $false|spl0_22|~spl0_6|~spl0_3|~spl0_2|~spl0_4|~spl0_5),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2508,f782])).
% 0.13/0.39 fof(f2516,plain,(
% 0.13/0.39 spl0_22|~spl0_6|~spl0_3|~spl0_2|~spl0_4|~spl0_5),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f2515])).
% 0.13/0.39 fof(f2527,plain,(
% 0.13/0.39 spl0_22|~spl0_0|~spl0_7),
% 0.13/0.39 inference(split_clause,[status(thm)],[f841,f780,f70,f97])).
% 0.13/0.39 fof(f2546,plain,(
% 0.13/0.39 ~spl0_10|~spl0_9|~spl0_12),
% 0.13/0.39 inference(split_clause,[status(thm)],[f844,f124,f115,f136])).
% 0.13/0.39 fof(f2559,plain,(
% 0.13/0.39 ~identity=sk_c7|~spl0_6|~spl0_3|~spl0_2|~spl0_4|~spl0_5|spl0_14),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f2508,f734])).
% 0.13/0.39 fof(f2565,plain,(
% 0.13/0.39 inverse(identity)=sk_c7|~spl0_6|~spl0_3|~spl0_2|~spl0_4|~spl0_5|~spl0_1),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f2508,f74])).
% 0.13/0.39 fof(f2577,plain,(
% 0.13/0.39 multiply(identity,sk_c7)=identity|~spl0_6|~spl0_3|~spl0_2|~spl0_4|~spl0_5|~spl0_1),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f2565,f161])).
% 0.13/0.39 fof(f2578,plain,(
% 0.13/0.39 sk_c7=identity|~spl0_6|~spl0_3|~spl0_2|~spl0_4|~spl0_5|~spl0_1),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f35,f2577])).
% 0.13/0.39 fof(f2579,plain,(
% 0.13/0.39 $false|spl0_14|~spl0_6|~spl0_3|~spl0_2|~spl0_4|~spl0_5|~spl0_1),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2578,f2559])).
% 0.13/0.39 fof(f2580,plain,(
% 0.13/0.39 spl0_14|~spl0_6|~spl0_3|~spl0_2|~spl0_4|~spl0_5|~spl0_1),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f2579])).
% 0.13/0.39 fof(f2581,plain,(
% 0.13/0.39 inverse(identity)=identity|~spl0_22|~spl0_18),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f781,f753])).
% 0.13/0.39 fof(f2597,plain,(
% 0.13/0.39 ![X0]: (~multiply(inverse(X0),sk_c7)=identity|~spl0_22|~spl0_24)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f781,f1677])).
% 0.13/0.39 fof(f2598,plain,(
% 0.13/0.39 $false|~spl0_22|~spl0_24),
% 0.13/0.39 inference(resolution,[status(thm)],[f2597,f36])).
% 0.13/0.39 fof(f2599,plain,(
% 0.13/0.39 ~spl0_22|~spl0_24),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f2598])).
% 0.13/0.39 fof(f2600,plain,(
% 0.13/0.39 inverse(sk_c3)=identity|~spl0_22|~spl0_9),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f781,f116])).
% 0.13/0.39 fof(f2611,plain,(
% 0.13/0.39 inverse(identity)=sk_c3|~spl0_22|~spl0_9),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f2600,f191])).
% 0.13/0.39 fof(f2612,plain,(
% 0.13/0.39 identity=sk_c3|~spl0_18|~spl0_22|~spl0_9),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f2581,f2611])).
% 0.13/0.39 fof(f2619,plain,(
% 0.13/0.39 ~inverse(identity)=sk_c7|~spl0_22|spl0_1),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f781,f75])).
% 0.13/0.39 fof(f2620,plain,(
% 0.13/0.39 ~identity=sk_c7|~spl0_18|~spl0_22|spl0_1),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f2581,f2619])).
% 0.13/0.39 fof(f2953,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c7)=identity|~spl0_22|~spl0_8),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f781,f107])).
% 0.13/0.39 fof(f2964,plain,(
% 0.13/0.39 inverse(sk_c2)=multiply(sk_c7,inverse(identity))|~spl0_22|~spl0_8),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f2953,f339])).
% 0.13/0.39 fof(f2965,plain,(
% 0.13/0.39 inverse(sk_c2)=multiply(sk_c7,identity)|~spl0_18|~spl0_22|~spl0_8),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f2581,f2964])).
% 0.13/0.39 fof(f2966,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c7|~spl0_18|~spl0_22|~spl0_8),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f189,f2965])).
% 0.13/0.39 fof(f3002,plain,(
% 0.13/0.39 sk_c1=sk_c7|~spl0_7|~spl0_18|~spl0_22|~spl0_8),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f621,f2966])).
% 0.13/0.39 fof(f3004,plain,(
% 0.13/0.39 ~identity=sk_c1|~spl0_7|~spl0_8|~spl0_18|~spl0_22|spl0_1),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f3002,f2620])).
% 0.13/0.39 fof(f3028,plain,(
% 0.13/0.39 multiply(identity,sk_c7)=sk_c8|~spl0_18|~spl0_22|~spl0_9|~spl0_10),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f2612,f125])).
% 0.13/0.39 fof(f3029,plain,(
% 0.13/0.39 sk_c7=sk_c8|~spl0_18|~spl0_22|~spl0_9|~spl0_10),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f35,f3028])).
% 0.13/0.39 fof(f3030,plain,(
% 0.13/0.39 sk_c1=sk_c8|~spl0_7|~spl0_8|~spl0_18|~spl0_22|~spl0_9|~spl0_10),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f3002,f3029])).
% 0.13/0.39 fof(f3031,plain,(
% 0.13/0.39 sk_c1=identity|~spl0_7|~spl0_8|~spl0_18|~spl0_22|~spl0_9|~spl0_10),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f781,f3030])).
% 0.13/0.39 fof(f3032,plain,(
% 0.13/0.39 $false|spl0_1|~spl0_7|~spl0_8|~spl0_18|~spl0_22|~spl0_9|~spl0_10),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f3031,f3004])).
% 0.13/0.40 fof(f3033,plain,(
% 0.13/0.40 spl0_1|~spl0_7|~spl0_8|~spl0_18|~spl0_22|~spl0_9|~spl0_10),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f3032])).
% 0.13/0.40 fof(f3034,plain,(
% 0.13/0.40 ~multiply(identity,sk_c8)=sk_c7|~spl0_22|spl0_17),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f781,f751])).
% 0.13/0.40 fof(f3035,plain,(
% 0.13/0.40 ~sk_c8=sk_c7|~spl0_22|spl0_17),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f35,f3034])).
% 0.13/0.40 fof(f3036,plain,(
% 0.13/0.40 ~identity=sk_c7|~spl0_22|spl0_17),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f781,f3035])).
% 0.13/0.40 fof(f3037,plain,(
% 0.13/0.40 ~identity=sk_c1|~spl0_7|~spl0_18|~spl0_8|~spl0_22|spl0_17),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f3002,f3036])).
% 0.13/0.40 fof(f3442,plain,(
% 0.13/0.40 $false|spl0_17|~spl0_7|~spl0_8|~spl0_18|~spl0_22|~spl0_9|~spl0_10),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f3031,f3037])).
% 0.13/0.40 fof(f3443,plain,(
% 0.13/0.40 spl0_17|~spl0_7|~spl0_8|~spl0_18|~spl0_22|~spl0_9|~spl0_10),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f3442])).
% 0.13/0.40 fof(f3444,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f142,f739,f748,f756,f762,f787,f843,f1679,f2473,f2475,f2477,f2516,f2527,f2546,f2580,f2599,f3033,f3443])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.058436 seconds
% 0.13/0.40 % CPU time: 0.344697 seconds
% 0.13/0.40 % Total memory used: 66.127 MB
% 0.13/0.40 % Net memory used: 65.817 MB
%------------------------------------------------------------------------------