TSTP Solution File: GRP265-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP265-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:19:55 EDT 2024
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP265-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n014.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 00:10:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.49 % Refutation found
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.49 fof(f1,axiom,(
% 0.20/0.49 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f2,axiom,(
% 0.20/0.49 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f3,axiom,(
% 0.20/0.49 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f4,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f5,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f6,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f7,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f8,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f9,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f10,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f11,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c1) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f12,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c1) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f13,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f14,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f15,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c1) = sk_c9| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f16,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f17,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c7 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f18,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f19,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c3) = sk_c9 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f20,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f21,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f22,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f23,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f24,negated_conjecture,(
% 0.20/0.49 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f25,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c2) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f26,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f27,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f28,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f29,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c2) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f30,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f31,negated_conjecture,(
% 0.20/0.49 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f32,negated_conjecture,(
% 0.20/0.49 (![X3,X4,X1,X2,X5,X6]: (( multiply(X3,sk_c9) != sk_c8| inverse(X3) != sk_c9| multiply(X4,sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(sk_c7,X5) != sk_c8| multiply(X6,sk_c7) != X5| inverse(X6) != sk_c7 ) ))),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f33,plain,(
% 0.20/0.49 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.49 fof(f34,plain,(
% 0.20/0.49 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.49 fof(f35,plain,(
% 0.20/0.49 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.49 fof(f36,plain,(
% 0.20/0.49 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.49 fof(f37,plain,(
% 0.20/0.49 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.49 fof(f38,plain,(
% 0.20/0.49 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.49 fof(f39,plain,(
% 0.20/0.49 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.49 fof(f40,plain,(
% 0.20/0.49 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.49 fof(f41,plain,(
% 0.20/0.49 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c7)=sk_c6),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.49 fof(f42,plain,(
% 0.20/0.49 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.49 fof(f43,plain,(
% 0.20/0.49 inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.49 fof(f44,plain,(
% 0.20/0.49 inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.49 fof(f45,plain,(
% 0.20/0.49 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.49 fof(f46,plain,(
% 0.20/0.49 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c7),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.49 fof(f47,plain,(
% 0.20/0.49 inverse(sk_c1)=sk_c9|multiply(sk_c7,sk_c6)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.49 fof(f48,plain,(
% 0.20/0.49 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c7)=sk_c6),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.49 fof(f49,plain,(
% 0.20/0.49 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c7),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.49 fof(f50,plain,(
% 0.20/0.49 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.49 fof(f51,plain,(
% 0.20/0.49 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c3)=sk_c9),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.49 fof(f52,plain,(
% 0.20/0.49 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.49 fof(f53,plain,(
% 0.20/0.49 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.49 fof(f54,plain,(
% 0.20/0.49 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.49 fof(f55,plain,(
% 0.20/0.49 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.49 fof(f56,plain,(
% 0.20/0.49 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.49 fof(f57,plain,(
% 0.20/0.49 inverse(sk_c2)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.49 fof(f58,plain,(
% 0.20/0.49 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.49 fof(f59,plain,(
% 0.20/0.49 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.49 fof(f60,plain,(
% 0.20/0.49 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.49 fof(f61,plain,(
% 0.20/0.49 inverse(sk_c2)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f29])).
% 0.20/0.49 fof(f62,plain,(
% 0.20/0.49 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c7)=sk_c6),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f30])).
% 0.20/0.49 fof(f63,plain,(
% 0.20/0.49 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f31])).
% 0.20/0.49 fof(f64,plain,(
% 0.20/0.49 ![X6]: ((![X5]: (((![X2]: (((![X1]: (((![X4]: (((![X3]: (~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9))|~multiply(X4,sk_c8)=sk_c7)|~inverse(X4)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c7)=sk_c8)|~inverse(X2)=sk_c7))|~multiply(sk_c7,X5)=sk_c8)|~multiply(X6,sk_c7)=X5))|~inverse(X6)=sk_c7)),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f32])).
% 0.20/0.49 fof(f65,plain,(
% 0.20/0.49 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7|~multiply(sk_c7,X4)=sk_c8|~multiply(X5,sk_c7)=X4|~inverse(X5)=sk_c7)),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f64])).
% 0.20/0.49 fof(f66,plain,(
% 0.20/0.49 spl0_0 <=> multiply(sk_c1,sk_c9)=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f67,plain,(
% 0.20/0.49 multiply(sk_c1,sk_c9)=sk_c8|~spl0_0),
% 0.20/0.49 inference(component_clause,[status(thm)],[f66])).
% 0.20/0.49 fof(f69,plain,(
% 0.20/0.49 spl0_1 <=> multiply(sk_c3,sk_c9)=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f70,plain,(
% 0.20/0.49 multiply(sk_c3,sk_c9)=sk_c8|~spl0_1),
% 0.20/0.49 inference(component_clause,[status(thm)],[f69])).
% 0.20/0.49 fof(f72,plain,(
% 0.20/0.49 spl0_0|spl0_1),
% 0.20/0.49 inference(split_clause,[status(thm)],[f36,f66,f69])).
% 0.20/0.49 fof(f73,plain,(
% 0.20/0.49 spl0_2 <=> inverse(sk_c3)=sk_c9),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f74,plain,(
% 0.20/0.49 inverse(sk_c3)=sk_c9|~spl0_2),
% 0.20/0.49 inference(component_clause,[status(thm)],[f73])).
% 0.20/0.49 fof(f76,plain,(
% 0.20/0.49 spl0_0|spl0_2),
% 0.20/0.49 inference(split_clause,[status(thm)],[f37,f66,f73])).
% 0.20/0.49 fof(f77,plain,(
% 0.20/0.49 spl0_3 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f78,plain,(
% 0.20/0.49 multiply(sk_c4,sk_c7)=sk_c8|~spl0_3),
% 0.20/0.49 inference(component_clause,[status(thm)],[f77])).
% 0.20/0.49 fof(f80,plain,(
% 0.20/0.49 spl0_0|spl0_3),
% 0.20/0.49 inference(split_clause,[status(thm)],[f38,f66,f77])).
% 0.20/0.49 fof(f81,plain,(
% 0.20/0.49 spl0_4 <=> inverse(sk_c4)=sk_c7),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f82,plain,(
% 0.20/0.49 inverse(sk_c4)=sk_c7|~spl0_4),
% 0.20/0.49 inference(component_clause,[status(thm)],[f81])).
% 0.20/0.49 fof(f84,plain,(
% 0.20/0.49 spl0_0|spl0_4),
% 0.20/0.49 inference(split_clause,[status(thm)],[f39,f66,f81])).
% 0.20/0.49 fof(f85,plain,(
% 0.20/0.49 spl0_5 <=> multiply(sk_c7,sk_c6)=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f86,plain,(
% 0.20/0.49 multiply(sk_c7,sk_c6)=sk_c8|~spl0_5),
% 0.20/0.49 inference(component_clause,[status(thm)],[f85])).
% 0.20/0.49 fof(f88,plain,(
% 0.20/0.49 spl0_0|spl0_5),
% 0.20/0.49 inference(split_clause,[status(thm)],[f40,f66,f85])).
% 0.20/0.49 fof(f89,plain,(
% 0.20/0.49 spl0_6 <=> multiply(sk_c5,sk_c7)=sk_c6),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f90,plain,(
% 0.20/0.49 multiply(sk_c5,sk_c7)=sk_c6|~spl0_6),
% 0.20/0.49 inference(component_clause,[status(thm)],[f89])).
% 0.20/0.49 fof(f92,plain,(
% 0.20/0.49 spl0_0|spl0_6),
% 0.20/0.49 inference(split_clause,[status(thm)],[f41,f66,f89])).
% 0.20/0.49 fof(f93,plain,(
% 0.20/0.49 spl0_7 <=> inverse(sk_c5)=sk_c7),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f94,plain,(
% 0.20/0.49 inverse(sk_c5)=sk_c7|~spl0_7),
% 0.20/0.49 inference(component_clause,[status(thm)],[f93])).
% 0.20/0.49 fof(f96,plain,(
% 0.20/0.49 spl0_0|spl0_7),
% 0.20/0.49 inference(split_clause,[status(thm)],[f42,f66,f93])).
% 0.20/0.49 fof(f97,plain,(
% 0.20/0.49 spl0_8 <=> inverse(sk_c1)=sk_c9),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f98,plain,(
% 0.20/0.49 inverse(sk_c1)=sk_c9|~spl0_8),
% 0.20/0.49 inference(component_clause,[status(thm)],[f97])).
% 0.20/0.49 fof(f100,plain,(
% 0.20/0.49 spl0_8|spl0_1),
% 0.20/0.49 inference(split_clause,[status(thm)],[f43,f97,f69])).
% 0.20/0.49 fof(f101,plain,(
% 0.20/0.49 spl0_8|spl0_2),
% 0.20/0.49 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.20/0.49 fof(f102,plain,(
% 0.20/0.49 spl0_8|spl0_3),
% 0.20/0.49 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.20/0.49 fof(f103,plain,(
% 0.20/0.49 spl0_8|spl0_4),
% 0.20/0.49 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.20/0.49 fof(f104,plain,(
% 0.20/0.49 spl0_8|spl0_5),
% 0.20/0.49 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.20/0.49 fof(f105,plain,(
% 0.20/0.49 spl0_8|spl0_6),
% 0.20/0.49 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.20/0.49 fof(f106,plain,(
% 0.20/0.49 spl0_8|spl0_7),
% 0.20/0.49 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.20/0.49 fof(f107,plain,(
% 0.20/0.49 spl0_9 <=> multiply(sk_c2,sk_c8)=sk_c7),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f108,plain,(
% 0.20/0.49 multiply(sk_c2,sk_c8)=sk_c7|~spl0_9),
% 0.20/0.49 inference(component_clause,[status(thm)],[f107])).
% 0.20/0.49 fof(f110,plain,(
% 0.20/0.49 spl0_9|spl0_1),
% 0.20/0.49 inference(split_clause,[status(thm)],[f50,f107,f69])).
% 0.20/0.49 fof(f111,plain,(
% 0.20/0.49 spl0_9|spl0_2),
% 0.20/0.49 inference(split_clause,[status(thm)],[f51,f107,f73])).
% 0.20/0.49 fof(f112,plain,(
% 0.20/0.49 spl0_9|spl0_3),
% 0.20/0.49 inference(split_clause,[status(thm)],[f52,f107,f77])).
% 0.20/0.49 fof(f113,plain,(
% 0.20/0.49 spl0_9|spl0_4),
% 0.20/0.49 inference(split_clause,[status(thm)],[f53,f107,f81])).
% 0.20/0.49 fof(f114,plain,(
% 0.20/0.49 spl0_9|spl0_5),
% 0.20/0.49 inference(split_clause,[status(thm)],[f54,f107,f85])).
% 0.20/0.49 fof(f115,plain,(
% 0.20/0.49 spl0_9|spl0_6),
% 0.20/0.49 inference(split_clause,[status(thm)],[f55,f107,f89])).
% 0.20/0.49 fof(f116,plain,(
% 0.20/0.49 spl0_9|spl0_7),
% 0.20/0.49 inference(split_clause,[status(thm)],[f56,f107,f93])).
% 0.20/0.49 fof(f117,plain,(
% 0.20/0.49 spl0_10 <=> inverse(sk_c2)=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f118,plain,(
% 0.20/0.49 inverse(sk_c2)=sk_c8|~spl0_10),
% 0.20/0.49 inference(component_clause,[status(thm)],[f117])).
% 0.20/0.49 fof(f120,plain,(
% 0.20/0.49 spl0_10|spl0_1),
% 0.20/0.49 inference(split_clause,[status(thm)],[f57,f117,f69])).
% 0.20/0.49 fof(f121,plain,(
% 0.20/0.49 spl0_10|spl0_2),
% 0.20/0.49 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.20/0.49 fof(f122,plain,(
% 0.20/0.49 spl0_10|spl0_3),
% 0.20/0.49 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.20/0.49 fof(f123,plain,(
% 0.20/0.49 spl0_10|spl0_4),
% 0.20/0.49 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.20/0.49 fof(f124,plain,(
% 0.20/0.49 spl0_10|spl0_5),
% 0.20/0.49 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.20/0.49 fof(f125,plain,(
% 0.20/0.49 spl0_10|spl0_6),
% 0.20/0.49 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.20/0.49 fof(f126,plain,(
% 0.20/0.49 spl0_10|spl0_7),
% 0.20/0.49 inference(split_clause,[status(thm)],[f63,f117,f93])).
% 0.20/0.49 fof(f127,plain,(
% 0.20/0.49 spl0_11 <=> ~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f128,plain,(
% 0.20/0.49 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_11)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f127])).
% 0.20/0.49 fof(f130,plain,(
% 0.20/0.49 spl0_12 <=> ~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f131,plain,(
% 0.20/0.49 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f130])).
% 0.20/0.49 fof(f133,plain,(
% 0.20/0.49 spl0_13 <=> ~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f134,plain,(
% 0.20/0.49 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_13)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f133])).
% 0.20/0.49 fof(f136,plain,(
% 0.20/0.49 spl0_14 <=> ~multiply(sk_c7,X4)=sk_c8|~multiply(X5,sk_c7)=X4|~inverse(X5)=sk_c7),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f137,plain,(
% 0.20/0.49 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c8|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_14)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f136])).
% 0.20/0.49 fof(f139,plain,(
% 0.20/0.49 spl0_11|spl0_12|spl0_13|spl0_14),
% 0.20/0.49 inference(split_clause,[status(thm)],[f65,f127,f130,f133,f136])).
% 0.20/0.49 fof(f140,plain,(
% 0.20/0.49 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c8|~inverse(X0)=sk_c7|~spl0_14)),
% 0.20/0.49 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.20/0.49 fof(f143,plain,(
% 0.20/0.49 ~multiply(sk_c7,multiply(sk_c5,sk_c7))=sk_c8|~spl0_14|~spl0_7),
% 0.20/0.49 inference(resolution,[status(thm)],[f140,f94])).
% 0.20/0.49 fof(f144,plain,(
% 0.20/0.49 ~multiply(sk_c7,sk_c6)=sk_c8|~spl0_6|~spl0_14|~spl0_7),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f90,f143])).
% 0.20/0.49 fof(f145,plain,(
% 0.20/0.49 ~sk_c8=sk_c8|~spl0_5|~spl0_6|~spl0_14|~spl0_7),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f86,f144])).
% 0.20/0.49 fof(f146,plain,(
% 0.20/0.49 $false|~spl0_5|~spl0_6|~spl0_14|~spl0_7),
% 0.20/0.49 inference(trivial_equality_resolution,[status(esa)],[f145])).
% 0.20/0.49 fof(f147,plain,(
% 0.20/0.49 ~spl0_5|~spl0_6|~spl0_14|~spl0_7),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f146])).
% 0.20/0.49 fof(f148,plain,(
% 0.20/0.49 ~multiply(sk_c4,sk_c7)=sk_c8|~spl0_13|~spl0_4),
% 0.20/0.49 inference(resolution,[status(thm)],[f134,f82])).
% 0.20/0.49 fof(f149,plain,(
% 0.20/0.49 ~sk_c8=sk_c8|~spl0_3|~spl0_13|~spl0_4),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f78,f148])).
% 0.20/0.49 fof(f150,plain,(
% 0.20/0.49 $false|~spl0_3|~spl0_13|~spl0_4),
% 0.20/0.49 inference(trivial_equality_resolution,[status(esa)],[f149])).
% 0.20/0.49 fof(f151,plain,(
% 0.20/0.49 ~spl0_3|~spl0_13|~spl0_4),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f150])).
% 0.20/0.49 fof(f152,plain,(
% 0.20/0.49 ~inverse(sk_c2)=sk_c8|~spl0_12|~spl0_9),
% 0.20/0.49 inference(resolution,[status(thm)],[f131,f108])).
% 0.20/0.49 fof(f153,plain,(
% 0.20/0.49 ~sk_c8=sk_c8|~spl0_10|~spl0_12|~spl0_9),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f118,f152])).
% 0.20/0.49 fof(f154,plain,(
% 0.20/0.49 $false|~spl0_10|~spl0_12|~spl0_9),
% 0.20/0.49 inference(trivial_equality_resolution,[status(esa)],[f153])).
% 0.20/0.49 fof(f155,plain,(
% 0.20/0.49 ~spl0_10|~spl0_12|~spl0_9),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f154])).
% 0.20/0.49 fof(f156,plain,(
% 0.20/0.49 ~inverse(sk_c3)=sk_c9|~spl0_11|~spl0_1),
% 0.20/0.49 inference(resolution,[status(thm)],[f128,f70])).
% 0.20/0.49 fof(f157,plain,(
% 0.20/0.49 ~sk_c9=sk_c9|~spl0_2|~spl0_11|~spl0_1),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f74,f156])).
% 0.20/0.49 fof(f158,plain,(
% 0.20/0.49 $false|~spl0_2|~spl0_11|~spl0_1),
% 0.20/0.49 inference(trivial_equality_resolution,[status(esa)],[f157])).
% 0.20/0.49 fof(f159,plain,(
% 0.20/0.49 ~spl0_2|~spl0_11|~spl0_1),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f158])).
% 0.20/0.49 fof(f179,plain,(
% 0.20/0.49 spl0_16 <=> inverse(sk_c4)=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f180,plain,(
% 0.20/0.49 inverse(sk_c4)=sk_c8|~spl0_16),
% 0.20/0.49 inference(component_clause,[status(thm)],[f179])).
% 0.20/0.49 fof(f181,plain,(
% 0.20/0.49 ~inverse(sk_c4)=sk_c8|spl0_16),
% 0.20/0.49 inference(component_clause,[status(thm)],[f179])).
% 0.20/0.49 fof(f186,plain,(
% 0.20/0.49 ~sk_c7=sk_c8|~spl0_4|spl0_16),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f82,f181])).
% 0.20/0.49 fof(f187,plain,(
% 0.20/0.49 spl0_17 <=> sk_c8=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f189,plain,(
% 0.20/0.49 ~sk_c8=sk_c8|spl0_17),
% 0.20/0.49 inference(component_clause,[status(thm)],[f187])).
% 0.20/0.49 fof(f192,plain,(
% 0.20/0.49 $false|spl0_17),
% 0.20/0.49 inference(trivial_equality_resolution,[status(esa)],[f189])).
% 0.20/0.49 fof(f193,plain,(
% 0.20/0.49 spl0_17),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f192])).
% 0.20/0.49 fof(f199,plain,(
% 0.20/0.49 spl0_19 <=> sk_c7=sk_c7),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f201,plain,(
% 0.20/0.49 ~sk_c7=sk_c7|spl0_19),
% 0.20/0.49 inference(component_clause,[status(thm)],[f199])).
% 0.20/0.49 fof(f207,plain,(
% 0.20/0.49 spl0_21 <=> sk_c9=sk_c7),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f212,plain,(
% 0.20/0.49 spl0_22 <=> multiply(sk_c2,sk_c7)=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f214,plain,(
% 0.20/0.49 ~multiply(sk_c2,sk_c7)=sk_c8|spl0_22),
% 0.20/0.49 inference(component_clause,[status(thm)],[f212])).
% 0.20/0.49 fof(f215,plain,(
% 0.20/0.49 spl0_23 <=> sk_c8=sk_c7),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f217,plain,(
% 0.20/0.49 ~sk_c8=sk_c7|spl0_23),
% 0.20/0.49 inference(component_clause,[status(thm)],[f215])).
% 0.20/0.49 fof(f218,plain,(
% 0.20/0.49 ~multiply(sk_c2,sk_c7)=sk_c8|~sk_c8=sk_c7|~spl0_13|~spl0_10),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f118,f134])).
% 0.20/0.49 fof(f219,plain,(
% 0.20/0.49 ~spl0_22|~spl0_23|~spl0_13|~spl0_10),
% 0.20/0.49 inference(split_clause,[status(thm)],[f218,f212,f215,f133,f117])).
% 0.20/0.49 fof(f220,plain,(
% 0.20/0.49 $false|spl0_19),
% 0.20/0.49 inference(trivial_equality_resolution,[status(esa)],[f201])).
% 0.20/0.49 fof(f221,plain,(
% 0.20/0.49 spl0_19),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f220])).
% 0.20/0.49 fof(f223,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c9,X0))|~spl0_0)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f67,f35])).
% 0.20/0.49 fof(f224,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c8,X0))|~spl0_9)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f108,f35])).
% 0.20/0.49 fof(f243,plain,(
% 0.20/0.49 multiply(sk_c9,sk_c1)=identity|~spl0_8),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f98,f34])).
% 0.20/0.49 fof(f244,plain,(
% 0.20/0.49 multiply(sk_c7,sk_c5)=identity|~spl0_7),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f94,f34])).
% 0.20/0.49 fof(f245,plain,(
% 0.20/0.49 multiply(sk_c8,sk_c2)=identity|~spl0_10),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f118,f34])).
% 0.20/0.49 fof(f246,plain,(
% 0.20/0.49 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f34,f35])).
% 0.20/0.49 fof(f247,plain,(
% 0.20/0.49 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f33,f246])).
% 0.20/0.49 fof(f249,plain,(
% 0.20/0.49 ![X0]: (multiply(identity,X0)=multiply(sk_c9,multiply(sk_c1,X0))|~spl0_8)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f243,f35])).
% 0.20/0.49 fof(f250,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(sk_c9,multiply(sk_c1,X0))|~spl0_8)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f33,f249])).
% 0.20/0.49 fof(f252,plain,(
% 0.20/0.49 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c5,X0))|~spl0_7)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f244,f35])).
% 0.20/0.49 fof(f253,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(sk_c7,multiply(sk_c5,X0))|~spl0_7)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f33,f252])).
% 0.20/0.49 fof(f254,plain,(
% 0.20/0.49 multiply(sk_c7,sk_c2)=multiply(sk_c2,identity)|~spl0_9|~spl0_10),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f245,f224])).
% 0.20/0.49 fof(f255,plain,(
% 0.20/0.49 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c2,X0))|~spl0_10)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f245,f35])).
% 0.20/0.49 fof(f256,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(sk_c8,multiply(sk_c2,X0))|~spl0_10)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f33,f255])).
% 0.20/0.49 fof(f257,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c9,multiply(sk_c8,X0))|~spl0_8|~spl0_0)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f223,f250])).
% 0.20/0.49 fof(f273,plain,(
% 0.20/0.49 sk_c7=multiply(sk_c7,sk_c6)|~spl0_7|~spl0_6),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f90,f253])).
% 0.20/0.49 fof(f282,plain,(
% 0.20/0.49 sk_c8=multiply(sk_c8,sk_c7)|~spl0_10|~spl0_9),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f108,f256])).
% 0.20/0.49 fof(f339,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c5,X0)=multiply(inverse(sk_c7),X0)|~spl0_7)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f253,f247])).
% 0.20/0.49 fof(f347,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c8,X0)=multiply(inverse(sk_c9),multiply(sk_c9,X0))|~spl0_8|~spl0_0)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f257,f247])).
% 0.20/0.49 fof(f348,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c8,X0)=X0|~spl0_8|~spl0_0)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f247,f347])).
% 0.20/0.49 fof(f373,plain,(
% 0.20/0.49 sk_c8=sk_c7|~spl0_8|~spl0_0|~spl0_10|~spl0_9),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f348,f282])).
% 0.20/0.49 fof(f374,plain,(
% 0.20/0.49 $false|spl0_23|~spl0_8|~spl0_0|~spl0_10|~spl0_9),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f373,f217])).
% 0.20/0.49 fof(f375,plain,(
% 0.20/0.49 spl0_23|~spl0_8|~spl0_0|~spl0_10|~spl0_9),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f374])).
% 0.20/0.49 fof(f377,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(sk_c2,X0)|~spl0_8|~spl0_0|~spl0_10)),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f348,f256])).
% 0.20/0.49 fof(f397,plain,(
% 0.20/0.49 multiply(sk_c7,sk_c2)=identity|~spl0_8|~spl0_0|~spl0_9|~spl0_10),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f377,f254])).
% 0.20/0.49 fof(f398,plain,(
% 0.20/0.49 ~sk_c7=sk_c8|~spl0_8|~spl0_0|~spl0_10|spl0_22),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f377,f214])).
% 0.20/0.49 fof(f399,plain,(
% 0.20/0.49 ~spl0_23|~spl0_8|~spl0_0|~spl0_10|spl0_22),
% 0.20/0.49 inference(split_clause,[status(thm)],[f398,f215,f97,f66,f117,f212])).
% 0.20/0.49 fof(f404,plain,(
% 0.20/0.49 ~spl0_23|~spl0_4|spl0_16),
% 0.20/0.49 inference(split_clause,[status(thm)],[f186,f215,f81,f179])).
% 0.20/0.49 fof(f410,plain,(
% 0.20/0.49 sk_c7=multiply(inverse(sk_c4),sk_c8)|~spl0_3),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f78,f247])).
% 0.20/0.49 fof(f417,plain,(
% 0.20/0.49 sk_c6=multiply(inverse(sk_c7),sk_c8)|~spl0_5),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f86,f247])).
% 0.20/0.49 fof(f422,plain,(
% 0.20/0.49 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_8|~spl0_0|~spl0_9|~spl0_10)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f397,f35])).
% 0.20/0.49 fof(f423,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_8|~spl0_0|~spl0_9|~spl0_10)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f33,f422])).
% 0.20/0.49 fof(f424,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_8|~spl0_0|~spl0_9|~spl0_10)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f377,f423])).
% 0.20/0.49 fof(f443,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c4),multiply(sk_c8,X0))|~spl0_3)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f410,f35])).
% 0.20/0.49 fof(f451,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c6,X0)=multiply(inverse(sk_c7),multiply(sk_c8,X0))|~spl0_5)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f417,f35])).
% 0.20/0.49 fof(f564,plain,(
% 0.20/0.49 spl0_26 <=> sk_c9=sk_c9),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f566,plain,(
% 0.20/0.49 ~sk_c9=sk_c9|spl0_26),
% 0.20/0.49 inference(component_clause,[status(thm)],[f564])).
% 0.20/0.49 fof(f569,plain,(
% 0.20/0.49 $false|spl0_26),
% 0.20/0.49 inference(trivial_equality_resolution,[status(esa)],[f566])).
% 0.20/0.49 fof(f570,plain,(
% 0.20/0.49 spl0_26),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f569])).
% 0.20/0.49 fof(f594,plain,(
% 0.20/0.49 spl0_29 <=> multiply(sk_c7,multiply(sk_c1,sk_c7))=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f597,plain,(
% 0.20/0.49 ~multiply(sk_c7,multiply(sk_c1,sk_c7))=sk_c8|~sk_c9=sk_c7|~spl0_14|~spl0_8),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f98,f140])).
% 0.20/0.49 fof(f598,plain,(
% 0.20/0.49 ~spl0_29|~spl0_21|~spl0_14|~spl0_8),
% 0.20/0.49 inference(split_clause,[status(thm)],[f597,f594,f207,f136,f97])).
% 0.20/0.49 fof(f605,plain,(
% 0.20/0.49 multiply(sk_c7,sk_c4)=identity|~spl0_4),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f82,f34])).
% 0.20/0.49 fof(f626,plain,(
% 0.20/0.49 sk_c7=sk_c8|~spl0_5|~spl0_7|~spl0_6),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f86,f273])).
% 0.20/0.49 fof(f629,plain,(
% 0.20/0.49 multiply(sk_c5,sk_c8)=sk_c6|~spl0_5|~spl0_7|~spl0_6),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f626,f90])).
% 0.20/0.49 fof(f631,plain,(
% 0.20/0.49 inverse(sk_c5)=sk_c8|~spl0_5|~spl0_6|~spl0_7),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f626,f94])).
% 0.20/0.49 fof(f632,plain,(
% 0.20/0.49 inverse(sk_c4)=sk_c8|~spl0_5|~spl0_7|~spl0_6|~spl0_4),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f626,f82])).
% 0.20/0.49 fof(f635,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~spl0_5|~spl0_7|~spl0_6|~spl0_4)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f632,f247])).
% 0.20/0.49 fof(f640,plain,(
% 0.20/0.49 multiply(sk_c8,sk_c4)=identity|~spl0_5|~spl0_7|~spl0_6|~spl0_4),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f626,f605])).
% 0.20/0.49 fof(f674,plain,(
% 0.20/0.49 sk_c6=multiply(inverse(sk_c8),sk_c8)|~spl0_7|~spl0_6|~spl0_5),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f626,f417])).
% 0.20/0.49 fof(f675,plain,(
% 0.20/0.49 sk_c6=identity|~spl0_7|~spl0_6|~spl0_5),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f34,f674])).
% 0.20/0.49 fof(f676,plain,(
% 0.20/0.49 multiply(sk_c5,sk_c8)=identity|~spl0_5|~spl0_7|~spl0_6),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f675,f629])).
% 0.20/0.49 fof(f689,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c5,X0)=multiply(inverse(sk_c8),X0)|~spl0_5|~spl0_6|~spl0_7)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f626,f339])).
% 0.20/0.49 fof(f708,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c8,X0)=multiply(inverse(sk_c4),multiply(sk_c8,X0))|~spl0_5|~spl0_7|~spl0_6|~spl0_3)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f626,f443])).
% 0.20/0.49 fof(f709,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_4|~spl0_5|~spl0_7|~spl0_6|~spl0_3)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f632,f708])).
% 0.20/0.49 fof(f726,plain,(
% 0.20/0.49 ![X0]: (multiply(identity,X0)=multiply(inverse(sk_c7),multiply(sk_c8,X0))|~spl0_7|~spl0_6|~spl0_5)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f675,f451])).
% 0.20/0.49 fof(f727,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(inverse(sk_c7),multiply(sk_c8,X0))|~spl0_7|~spl0_6|~spl0_5)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f33,f726])).
% 0.20/0.49 fof(f728,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(inverse(sk_c8),multiply(sk_c8,X0))|~spl0_7|~spl0_6|~spl0_5)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f626,f727])).
% 0.20/0.49 fof(f729,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(sk_c5,multiply(sk_c8,X0))|~spl0_7|~spl0_6|~spl0_5)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f689,f728])).
% 0.20/0.49 fof(f730,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~spl0_4|~spl0_5|~spl0_7|~spl0_6|~spl0_3)),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f709,f729])).
% 0.20/0.49 fof(f731,plain,(
% 0.20/0.49 ![X0]: (multiply(sk_c8,X0)=X0|~spl0_4|~spl0_5|~spl0_7|~spl0_6|~spl0_3)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f729,f730])).
% 0.20/0.49 fof(f743,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(sk_c5,X0)|~spl0_4|~spl0_3|~spl0_7|~spl0_6|~spl0_5)),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f731,f729])).
% 0.20/0.49 fof(f747,plain,(
% 0.20/0.49 sk_c8=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f743,f676])).
% 0.20/0.49 fof(f765,plain,(
% 0.20/0.49 ~sk_c8=sk_c8|~spl0_5|~spl0_7|~spl0_6|spl0_23),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f626,f217])).
% 0.20/0.49 fof(f766,plain,(
% 0.20/0.49 $false|~spl0_5|~spl0_7|~spl0_6|spl0_23),
% 0.20/0.49 inference(trivial_equality_resolution,[status(esa)],[f765])).
% 0.20/0.49 fof(f767,plain,(
% 0.20/0.49 ~spl0_5|~spl0_7|~spl0_6|spl0_23),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f766])).
% 0.20/0.49 fof(f769,plain,(
% 0.20/0.49 spl0_31 <=> multiply(sk_c7,multiply(sk_c3,sk_c7))=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f772,plain,(
% 0.20/0.49 ~multiply(sk_c7,multiply(sk_c3,sk_c7))=sk_c8|~sk_c9=sk_c7|~spl0_14|~spl0_2),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f74,f140])).
% 0.20/0.49 fof(f773,plain,(
% 0.20/0.49 ~spl0_31|~spl0_21|~spl0_14|~spl0_2),
% 0.20/0.49 inference(split_clause,[status(thm)],[f772,f769,f207,f136,f73])).
% 0.20/0.49 fof(f794,plain,(
% 0.20/0.49 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_8|~spl0_0|~spl0_9|~spl0_10|~spl0_14)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f424,f140])).
% 0.20/0.49 fof(f795,plain,(
% 0.20/0.49 ~multiply(sk_c2,sk_c7)=sk_c8|~sk_c8=sk_c7|~spl0_8|~spl0_0|~spl0_9|~spl0_14|~spl0_10),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f118,f794])).
% 0.20/0.49 fof(f796,plain,(
% 0.20/0.49 ~spl0_22|~spl0_23|~spl0_8|~spl0_0|~spl0_9|~spl0_14|~spl0_10),
% 0.20/0.49 inference(split_clause,[status(thm)],[f795,f212,f215,f97,f66,f107,f136,f117])).
% 0.20/0.49 fof(f801,plain,(
% 0.20/0.49 ![X0]: (X0=multiply(sk_c4,X0)|~spl0_8|~spl0_0|~spl0_5|~spl0_7|~spl0_6|~spl0_4)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f348,f635])).
% 0.20/0.49 fof(f855,plain,(
% 0.20/0.49 spl0_36 <=> inverse(identity)=sk_c8),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f857,plain,(
% 0.20/0.49 ~inverse(identity)=sk_c8|spl0_36),
% 0.20/0.49 inference(component_clause,[status(thm)],[f855])).
% 0.20/0.49 fof(f858,plain,(
% 0.20/0.49 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~spl0_12),
% 0.20/0.49 inference(paramodulation,[status(thm)],[f33,f131])).
% 0.20/0.49 fof(f859,plain,(
% 0.20/0.49 ~spl0_23|~spl0_36|~spl0_12),
% 0.20/0.49 inference(split_clause,[status(thm)],[f858,f215,f855,f130])).
% 0.20/0.49 fof(f867,plain,(
% 0.20/0.49 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_12)),
% 0.20/0.49 inference(backward_demodulation,[status(thm)],[f747,f131])).
% 0.20/0.49 fof(f868,plain,(
% 0.20/0.49 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_12)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f747,f867])).
% 0.20/0.49 fof(f877,plain,(
% 0.20/0.49 inverse(sk_c5)=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_7),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f747,f631])).
% 0.20/0.49 fof(f902,plain,(
% 0.20/0.49 identity=sk_c7|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_7),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f877,f94])).
% 0.20/0.49 fof(f908,plain,(
% 0.20/0.49 inverse(sk_c4)=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_16),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f747,f180])).
% 0.20/0.49 fof(f931,plain,(
% 0.20/0.49 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_12)),
% 0.20/0.49 inference(forward_demodulation,[status(thm)],[f902,f868])).
% 0.20/0.49 fof(f932,plain,(
% 0.20/0.49 ~multiply(sk_c4,identity)=identity|~spl0_12|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_16),
% 0.20/0.49 inference(resolution,[status(thm)],[f931,f908])).
% 0.20/0.49 fof(f933,plain,(
% 0.20/0.49 ~identity=identity|~spl0_8|~spl0_0|~spl0_12|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_16),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f801,f932])).
% 0.20/0.50 fof(f934,plain,(
% 0.20/0.50 $false|~spl0_8|~spl0_0|~spl0_12|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_16),
% 0.20/0.50 inference(trivial_equality_resolution,[status(esa)],[f933])).
% 0.20/0.50 fof(f935,plain,(
% 0.20/0.50 ~spl0_8|~spl0_0|~spl0_12|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_16),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f934])).
% 0.20/0.50 fof(f976,plain,(
% 0.20/0.50 ~inverse(sk_c1)=sk_c9|~spl0_11|~spl0_0),
% 0.20/0.50 inference(resolution,[status(thm)],[f128,f67])).
% 0.20/0.50 fof(f977,plain,(
% 0.20/0.50 ~sk_c9=sk_c9|~spl0_8|~spl0_11|~spl0_0),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f98,f976])).
% 0.20/0.50 fof(f978,plain,(
% 0.20/0.50 $false|~spl0_8|~spl0_11|~spl0_0),
% 0.20/0.50 inference(trivial_equality_resolution,[status(esa)],[f977])).
% 0.20/0.50 fof(f979,plain,(
% 0.20/0.50 ~spl0_8|~spl0_11|~spl0_0),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f978])).
% 0.20/0.50 fof(f1041,plain,(
% 0.20/0.50 multiply(identity,sk_c4)=identity|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_4),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f747,f640])).
% 0.20/0.50 fof(f1042,plain,(
% 0.20/0.50 sk_c4=identity|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_4),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f33,f1041])).
% 0.20/0.50 fof(f1044,plain,(
% 0.20/0.50 inverse(identity)=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_16),
% 0.20/0.50 inference(backward_demodulation,[status(thm)],[f1042,f908])).
% 0.20/0.50 fof(f1201,plain,(
% 0.20/0.50 ~inverse(identity)=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|spl0_36),
% 0.20/0.50 inference(forward_demodulation,[status(thm)],[f747,f857])).
% 0.20/0.50 fof(f1202,plain,(
% 0.20/0.50 $false|spl0_36|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_16),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1044,f1201])).
% 0.20/0.50 fof(f1203,plain,(
% 0.20/0.50 spl0_36|~spl0_4|~spl0_3|~spl0_5|~spl0_7|~spl0_6|~spl0_16),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f1202])).
% 0.20/0.50 fof(f1204,plain,(
% 0.20/0.50 $false),
% 0.20/0.50 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,f120,f121,f122,f123,f124,f125,f126,f139,f147,f151,f155,f159,f193,f219,f221,f375,f399,f404,f570,f598,f767,f773,f796,f859,f935,f979,f1203])).
% 0.20/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.51 % Elapsed time: 0.147784 seconds
% 0.20/0.51 % CPU time: 1.067183 seconds
% 0.20/0.51 % Total memory used: 79.370 MB
% 0.20/0.51 % Net memory used: 78.488 MB
%------------------------------------------------------------------------------