TSTP Solution File: GRP387-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:20:17 EDT 2024
% Result : Unsatisfiable 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP387-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:28:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.21/0.51 % Refutation found
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.51 fof(f1,axiom,(
% 0.21/0.51 (![X]: (multiply(identity,X) = X ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f2,axiom,(
% 0.21/0.51 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f3,axiom,(
% 0.21/0.51 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f4,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c7) = sk_c6| multiply(sk_c2,sk_c7) = sk_c6 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f5,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c7) = sk_c6| inverse(sk_c2) = sk_c7 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f6,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c5 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f7,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c7) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f8,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c7) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f9,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f10,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c2,sk_c7) = sk_c6 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f11,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c2) = sk_c7 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f14,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f16,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c2,sk_c7) = sk_c6 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f17,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c2) = sk_c7 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f18,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c5 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f19,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f21,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f22,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c1) = sk_c7| multiply(sk_c2,sk_c7) = sk_c6 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f23,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c1) = sk_c7| inverse(sk_c2) = sk_c7 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f24,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c5 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f25,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f26,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f27,negated_conjecture,(
% 0.21/0.51 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f28,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c2,sk_c7) = sk_c6 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f29,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c2) = sk_c7 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f30,negated_conjecture,(
% 0.21/0.51 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c5 ) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f31,negated_conjecture,(
% 0.21/0.52 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f32,negated_conjecture,(
% 0.21/0.52 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f33,negated_conjecture,(
% 0.21/0.52 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f34,negated_conjecture,(
% 0.21/0.52 (![X2,X1,X3,X4]: (( inverse(sk_c7) != sk_c6| multiply(sk_c6,sk_c5) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| inverse(X2) != sk_c7| multiply(X2,sk_c6) != sk_c7| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| multiply(X3,sk_c6) != sk_c5| inverse(X3) != sk_c6| inverse(X4) != sk_c5| multiply(X4,sk_c7) != sk_c5 ) ))),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f35,plain,(
% 0.21/0.52 ![X0]: (multiply(identity,X0)=X0)),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f1])).
% 0.21/0.52 fof(f36,plain,(
% 0.21/0.52 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f2])).
% 0.21/0.52 fof(f37,plain,(
% 0.21/0.52 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f3])).
% 0.21/0.52 fof(f38,plain,(
% 0.21/0.52 inverse(sk_c7)=sk_c6|multiply(sk_c2,sk_c7)=sk_c6),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f4])).
% 0.21/0.52 fof(f39,plain,(
% 0.21/0.52 inverse(sk_c7)=sk_c6|inverse(sk_c2)=sk_c7),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f5])).
% 0.21/0.52 fof(f40,plain,(
% 0.21/0.52 inverse(sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.52 fof(f41,plain,(
% 0.21/0.52 inverse(sk_c7)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f7])).
% 0.21/0.52 fof(f42,plain,(
% 0.21/0.52 inverse(sk_c7)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f8])).
% 0.21/0.52 fof(f43,plain,(
% 0.21/0.52 inverse(sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.52 fof(f44,plain,(
% 0.21/0.52 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c2,sk_c7)=sk_c6),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f10])).
% 0.21/0.52 fof(f45,plain,(
% 0.21/0.52 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c2)=sk_c7),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f11])).
% 0.21/0.52 fof(f48,plain,(
% 0.21/0.52 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.52 fof(f50,plain,(
% 0.21/0.52 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c2,sk_c7)=sk_c6),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f16])).
% 0.21/0.52 fof(f51,plain,(
% 0.21/0.52 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c2)=sk_c7),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.52 fof(f52,plain,(
% 0.21/0.52 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f18])).
% 0.21/0.52 fof(f53,plain,(
% 0.21/0.52 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f19])).
% 0.21/0.52 fof(f55,plain,(
% 0.21/0.52 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f21])).
% 0.21/0.52 fof(f56,plain,(
% 0.21/0.52 inverse(sk_c1)=sk_c7|multiply(sk_c2,sk_c7)=sk_c6),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.52 fof(f57,plain,(
% 0.21/0.52 inverse(sk_c1)=sk_c7|inverse(sk_c2)=sk_c7),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f23])).
% 0.21/0.52 fof(f58,plain,(
% 0.21/0.52 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.52 fof(f59,plain,(
% 0.21/0.52 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f25])).
% 0.21/0.52 fof(f60,plain,(
% 0.21/0.52 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f26])).
% 0.21/0.52 fof(f61,plain,(
% 0.21/0.52 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f27])).
% 0.21/0.52 fof(f62,plain,(
% 0.21/0.52 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c2,sk_c7)=sk_c6),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f28])).
% 0.21/0.52 fof(f63,plain,(
% 0.21/0.52 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c2)=sk_c7),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f29])).
% 0.21/0.52 fof(f64,plain,(
% 0.21/0.52 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f30])).
% 0.21/0.52 fof(f65,plain,(
% 0.21/0.52 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.52 fof(f66,plain,(
% 0.21/0.52 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f32])).
% 0.21/0.52 fof(f67,plain,(
% 0.21/0.52 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f33])).
% 0.21/0.52 fof(f68,plain,(
% 0.21/0.52 ![X4]: (((![X3]: (((![X1]: (((![X2]: ((((~inverse(sk_c7)=sk_c6|~multiply(sk_c6,sk_c5)=sk_c7)|~multiply(sk_c7,sk_c5)=sk_c6)|~inverse(X2)=sk_c7)|~multiply(X2,sk_c6)=sk_c7))|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~multiply(X3,sk_c6)=sk_c5)|~inverse(X3)=sk_c6))|~inverse(X4)=sk_c5)|~multiply(X4,sk_c7)=sk_c5)),
% 0.21/0.52 inference(miniscoping,[status(esa)],[f34])).
% 0.21/0.52 fof(f69,plain,(
% 0.21/0.52 ![X0,X1,X2,X3]: (~inverse(sk_c7)=sk_c6|~multiply(sk_c6,sk_c5)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7|~multiply(X2,sk_c6)=sk_c5|~inverse(X2)=sk_c6|~inverse(X3)=sk_c5|~multiply(X3,sk_c7)=sk_c5)),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f68])).
% 0.21/0.52 fof(f70,plain,(
% 0.21/0.52 spl0_0 <=> inverse(sk_c7)=sk_c6),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f71,plain,(
% 0.21/0.52 inverse(sk_c7)=sk_c6|~spl0_0),
% 0.21/0.52 inference(component_clause,[status(thm)],[f70])).
% 0.21/0.52 fof(f72,plain,(
% 0.21/0.52 ~inverse(sk_c7)=sk_c6|spl0_0),
% 0.21/0.52 inference(component_clause,[status(thm)],[f70])).
% 0.21/0.52 fof(f73,plain,(
% 0.21/0.52 spl0_1 <=> multiply(sk_c2,sk_c7)=sk_c6),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f74,plain,(
% 0.21/0.52 multiply(sk_c2,sk_c7)=sk_c6|~spl0_1),
% 0.21/0.52 inference(component_clause,[status(thm)],[f73])).
% 0.21/0.52 fof(f76,plain,(
% 0.21/0.52 spl0_0|spl0_1),
% 0.21/0.52 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.21/0.52 fof(f77,plain,(
% 0.21/0.52 spl0_2 <=> inverse(sk_c2)=sk_c7),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f78,plain,(
% 0.21/0.52 inverse(sk_c2)=sk_c7|~spl0_2),
% 0.21/0.52 inference(component_clause,[status(thm)],[f77])).
% 0.21/0.52 fof(f80,plain,(
% 0.21/0.52 spl0_0|spl0_2),
% 0.21/0.52 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.21/0.52 fof(f81,plain,(
% 0.21/0.52 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c5),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f82,plain,(
% 0.21/0.52 multiply(sk_c3,sk_c6)=sk_c5|~spl0_3),
% 0.21/0.52 inference(component_clause,[status(thm)],[f81])).
% 0.21/0.52 fof(f84,plain,(
% 0.21/0.52 spl0_0|spl0_3),
% 0.21/0.52 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.21/0.52 fof(f85,plain,(
% 0.21/0.52 spl0_4 <=> inverse(sk_c3)=sk_c6),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f86,plain,(
% 0.21/0.52 inverse(sk_c3)=sk_c6|~spl0_4),
% 0.21/0.52 inference(component_clause,[status(thm)],[f85])).
% 0.21/0.52 fof(f88,plain,(
% 0.21/0.52 spl0_0|spl0_4),
% 0.21/0.52 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.21/0.52 fof(f89,plain,(
% 0.21/0.52 spl0_5 <=> inverse(sk_c4)=sk_c5),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f90,plain,(
% 0.21/0.52 inverse(sk_c4)=sk_c5|~spl0_5),
% 0.21/0.52 inference(component_clause,[status(thm)],[f89])).
% 0.21/0.52 fof(f92,plain,(
% 0.21/0.52 spl0_0|spl0_5),
% 0.21/0.52 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.21/0.52 fof(f93,plain,(
% 0.21/0.52 spl0_6 <=> multiply(sk_c4,sk_c7)=sk_c5),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f94,plain,(
% 0.21/0.52 multiply(sk_c4,sk_c7)=sk_c5|~spl0_6),
% 0.21/0.52 inference(component_clause,[status(thm)],[f93])).
% 0.21/0.52 fof(f96,plain,(
% 0.21/0.52 spl0_0|spl0_6),
% 0.21/0.52 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.21/0.52 fof(f97,plain,(
% 0.21/0.52 spl0_7 <=> multiply(sk_c6,sk_c5)=sk_c7),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f98,plain,(
% 0.21/0.52 multiply(sk_c6,sk_c5)=sk_c7|~spl0_7),
% 0.21/0.52 inference(component_clause,[status(thm)],[f97])).
% 0.21/0.52 fof(f99,plain,(
% 0.21/0.52 ~multiply(sk_c6,sk_c5)=sk_c7|spl0_7),
% 0.21/0.52 inference(component_clause,[status(thm)],[f97])).
% 0.21/0.52 fof(f100,plain,(
% 0.21/0.52 spl0_7|spl0_1),
% 0.21/0.52 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.21/0.52 fof(f101,plain,(
% 0.21/0.52 spl0_7|spl0_2),
% 0.21/0.52 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.21/0.52 fof(f104,plain,(
% 0.21/0.52 spl0_7|spl0_5),
% 0.21/0.52 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.21/0.52 fof(f106,plain,(
% 0.21/0.52 spl0_8 <=> multiply(sk_c7,sk_c5)=sk_c6),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f107,plain,(
% 0.21/0.52 multiply(sk_c7,sk_c5)=sk_c6|~spl0_8),
% 0.21/0.52 inference(component_clause,[status(thm)],[f106])).
% 0.21/0.52 fof(f108,plain,(
% 0.21/0.52 ~multiply(sk_c7,sk_c5)=sk_c6|spl0_8),
% 0.21/0.52 inference(component_clause,[status(thm)],[f106])).
% 0.21/0.52 fof(f109,plain,(
% 0.21/0.52 spl0_8|spl0_1),
% 0.21/0.52 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.21/0.52 fof(f110,plain,(
% 0.21/0.52 spl0_8|spl0_2),
% 0.21/0.52 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.21/0.52 fof(f111,plain,(
% 0.21/0.52 spl0_8|spl0_3),
% 0.21/0.52 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.21/0.52 fof(f112,plain,(
% 0.21/0.52 spl0_8|spl0_4),
% 0.21/0.52 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.21/0.52 fof(f114,plain,(
% 0.21/0.52 spl0_8|spl0_6),
% 0.21/0.52 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.21/0.52 fof(f115,plain,(
% 0.21/0.52 spl0_9 <=> inverse(sk_c1)=sk_c7),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f116,plain,(
% 0.21/0.52 inverse(sk_c1)=sk_c7|~spl0_9),
% 0.21/0.52 inference(component_clause,[status(thm)],[f115])).
% 0.21/0.52 fof(f118,plain,(
% 0.21/0.52 spl0_9|spl0_1),
% 0.21/0.52 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.21/0.52 fof(f119,plain,(
% 0.21/0.52 spl0_9|spl0_2),
% 0.21/0.52 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.21/0.52 fof(f120,plain,(
% 0.21/0.52 spl0_9|spl0_3),
% 0.21/0.52 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.21/0.52 fof(f121,plain,(
% 0.21/0.52 spl0_9|spl0_4),
% 0.21/0.52 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.21/0.52 fof(f122,plain,(
% 0.21/0.52 spl0_9|spl0_5),
% 0.21/0.52 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.21/0.52 fof(f123,plain,(
% 0.21/0.52 spl0_9|spl0_6),
% 0.21/0.52 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.21/0.52 fof(f124,plain,(
% 0.21/0.52 spl0_10 <=> multiply(sk_c1,sk_c6)=sk_c7),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f125,plain,(
% 0.21/0.52 multiply(sk_c1,sk_c6)=sk_c7|~spl0_10),
% 0.21/0.52 inference(component_clause,[status(thm)],[f124])).
% 0.21/0.52 fof(f127,plain,(
% 0.21/0.52 spl0_10|spl0_1),
% 0.21/0.52 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.21/0.52 fof(f128,plain,(
% 0.21/0.52 spl0_10|spl0_2),
% 0.21/0.52 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.21/0.52 fof(f129,plain,(
% 0.21/0.52 spl0_10|spl0_3),
% 0.21/0.52 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.21/0.52 fof(f130,plain,(
% 0.21/0.52 spl0_10|spl0_4),
% 0.21/0.52 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.21/0.52 fof(f131,plain,(
% 0.21/0.52 spl0_10|spl0_5),
% 0.21/0.52 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.21/0.52 fof(f132,plain,(
% 0.21/0.52 spl0_10|spl0_6),
% 0.21/0.52 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.21/0.52 fof(f133,plain,(
% 0.21/0.52 spl0_11 <=> ~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f134,plain,(
% 0.21/0.52 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_11)),
% 0.21/0.52 inference(component_clause,[status(thm)],[f133])).
% 0.21/0.52 fof(f136,plain,(
% 0.21/0.52 spl0_12 <=> ~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f137,plain,(
% 0.21/0.52 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_12)),
% 0.21/0.52 inference(component_clause,[status(thm)],[f136])).
% 0.21/0.52 fof(f139,plain,(
% 0.21/0.52 spl0_13 <=> ~multiply(X2,sk_c6)=sk_c5|~inverse(X2)=sk_c6),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f140,plain,(
% 0.21/0.52 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~spl0_13)),
% 0.21/0.52 inference(component_clause,[status(thm)],[f139])).
% 0.21/0.52 fof(f142,plain,(
% 0.21/0.52 spl0_14 <=> ~inverse(X3)=sk_c5|~multiply(X3,sk_c7)=sk_c5),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f143,plain,(
% 0.21/0.52 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c7)=sk_c5|~spl0_14)),
% 0.21/0.52 inference(component_clause,[status(thm)],[f142])).
% 0.21/0.52 fof(f145,plain,(
% 0.21/0.52 ~spl0_0|~spl0_7|~spl0_8|spl0_11|spl0_12|spl0_13|spl0_14),
% 0.21/0.52 inference(split_clause,[status(thm)],[f69,f70,f97,f106,f133,f136,f139,f142])).
% 0.21/0.52 fof(f146,plain,(
% 0.21/0.52 ~inverse(sk_c4)=sk_c5|~spl0_14|~spl0_6),
% 0.21/0.52 inference(resolution,[status(thm)],[f143,f94])).
% 0.21/0.52 fof(f147,plain,(
% 0.21/0.52 ~sk_c5=sk_c5|~spl0_5|~spl0_14|~spl0_6),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f90,f146])).
% 0.21/0.52 fof(f148,plain,(
% 0.21/0.52 $false|~spl0_5|~spl0_14|~spl0_6),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f147])).
% 0.21/0.52 fof(f149,plain,(
% 0.21/0.52 ~spl0_5|~spl0_14|~spl0_6),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f148])).
% 0.21/0.52 fof(f150,plain,(
% 0.21/0.52 ~inverse(sk_c3)=sk_c6|~spl0_13|~spl0_3),
% 0.21/0.52 inference(resolution,[status(thm)],[f140,f82])).
% 0.21/0.52 fof(f151,plain,(
% 0.21/0.52 ~sk_c6=sk_c6|~spl0_4|~spl0_13|~spl0_3),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f86,f150])).
% 0.21/0.52 fof(f152,plain,(
% 0.21/0.52 $false|~spl0_4|~spl0_13|~spl0_3),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f151])).
% 0.21/0.52 fof(f153,plain,(
% 0.21/0.52 ~spl0_4|~spl0_13|~spl0_3),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f152])).
% 0.21/0.52 fof(f154,plain,(
% 0.21/0.52 ~inverse(sk_c2)=sk_c7|~spl0_12|~spl0_1),
% 0.21/0.52 inference(resolution,[status(thm)],[f137,f74])).
% 0.21/0.52 fof(f155,plain,(
% 0.21/0.52 ~sk_c7=sk_c7|~spl0_2|~spl0_12|~spl0_1),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f78,f154])).
% 0.21/0.52 fof(f156,plain,(
% 0.21/0.52 $false|~spl0_2|~spl0_12|~spl0_1),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f155])).
% 0.21/0.52 fof(f157,plain,(
% 0.21/0.52 ~spl0_2|~spl0_12|~spl0_1),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f156])).
% 0.21/0.52 fof(f158,plain,(
% 0.21/0.52 ~inverse(sk_c1)=sk_c7|~spl0_11|~spl0_10),
% 0.21/0.52 inference(resolution,[status(thm)],[f134,f125])).
% 0.21/0.52 fof(f159,plain,(
% 0.21/0.52 ~sk_c7=sk_c7|~spl0_9|~spl0_11|~spl0_10),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f116,f158])).
% 0.21/0.52 fof(f160,plain,(
% 0.21/0.52 $false|~spl0_9|~spl0_11|~spl0_10),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f159])).
% 0.21/0.52 fof(f161,plain,(
% 0.21/0.52 ~spl0_9|~spl0_11|~spl0_10),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f160])).
% 0.21/0.52 fof(f170,plain,(
% 0.21/0.52 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c1,multiply(sk_c6,X0))|~spl0_10)),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f125,f37])).
% 0.21/0.52 fof(f197,plain,(
% 0.21/0.52 multiply(sk_c7,sk_c5)=multiply(sk_c1,sk_c7)|~spl0_10|~spl0_7),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f98,f170])).
% 0.21/0.52 fof(f198,plain,(
% 0.21/0.52 sk_c6=multiply(sk_c1,sk_c7)|~spl0_8|~spl0_10|~spl0_7),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f107,f197])).
% 0.21/0.52 fof(f326,plain,(
% 0.21/0.52 multiply(sk_c7,sk_c2)=identity|~spl0_2),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.21/0.52 fof(f327,plain,(
% 0.21/0.52 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.21/0.52 fof(f328,plain,(
% 0.21/0.52 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f327])).
% 0.21/0.52 fof(f383,plain,(
% 0.21/0.52 sk_c7=multiply(inverse(sk_c2),sk_c6)|~spl0_1),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f74,f328])).
% 0.21/0.52 fof(f384,plain,(
% 0.21/0.52 sk_c7=multiply(sk_c7,sk_c6)|~spl0_2|~spl0_1),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f78,f383])).
% 0.21/0.52 fof(f388,plain,(
% 0.21/0.52 sk_c6=multiply(inverse(sk_c3),sk_c5)|~spl0_3),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f82,f328])).
% 0.21/0.52 fof(f389,plain,(
% 0.21/0.52 sk_c6=multiply(sk_c6,sk_c5)|~spl0_4|~spl0_3),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f86,f388])).
% 0.21/0.52 fof(f390,plain,(
% 0.21/0.52 sk_c6=sk_c7|~spl0_7|~spl0_4|~spl0_3),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f98,f389])).
% 0.21/0.52 fof(f400,plain,(
% 0.21/0.52 sk_c7=multiply(inverse(sk_c4),sk_c5)|~spl0_6),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f94,f328])).
% 0.21/0.52 fof(f401,plain,(
% 0.21/0.52 sk_c7=multiply(sk_c5,sk_c5)|~spl0_5|~spl0_6),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f90,f400])).
% 0.21/0.52 fof(f429,plain,(
% 0.21/0.52 multiply(sk_c7,sk_c5)=sk_c7|~spl0_4|~spl0_3|~spl0_7),
% 0.21/0.52 inference(backward_demodulation,[status(thm)],[f390,f98])).
% 0.21/0.52 fof(f552,plain,(
% 0.21/0.52 multiply(sk_c6,sk_c7)=identity|~spl0_0),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.21/0.52 fof(f562,plain,(
% 0.21/0.52 sk_c5=multiply(inverse(sk_c7),sk_c7)|~spl0_4|~spl0_3|~spl0_7),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f429,f328])).
% 0.21/0.52 fof(f563,plain,(
% 0.21/0.52 sk_c5=identity|~spl0_4|~spl0_3|~spl0_7),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f36,f562])).
% 0.21/0.52 fof(f574,plain,(
% 0.21/0.52 sk_c7=multiply(sk_c7,sk_c7)|~spl0_7|~spl0_4|~spl0_3|~spl0_2|~spl0_1),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f390,f384])).
% 0.21/0.52 fof(f575,plain,(
% 0.21/0.52 sk_c7=multiply(inverse(sk_c7),sk_c7)|~spl0_7|~spl0_4|~spl0_3|~spl0_2|~spl0_1),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f574,f328])).
% 0.21/0.52 fof(f576,plain,(
% 0.21/0.52 sk_c7=identity|~spl0_7|~spl0_4|~spl0_3|~spl0_2|~spl0_1),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f36,f575])).
% 0.21/0.52 fof(f585,plain,(
% 0.21/0.52 sk_c6=identity|~spl0_2|~spl0_1|~spl0_7|~spl0_4|~spl0_3),
% 0.21/0.52 inference(backward_demodulation,[status(thm)],[f576,f390])).
% 0.21/0.52 fof(f603,plain,(
% 0.21/0.52 ~multiply(identity,sk_c5)=sk_c6|~spl0_7|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f576,f108])).
% 0.21/0.52 fof(f604,plain,(
% 0.21/0.52 ~sk_c5=sk_c6|~spl0_7|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f603])).
% 0.21/0.52 fof(f605,plain,(
% 0.21/0.52 ~identity=sk_c6|~spl0_7|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f563,f604])).
% 0.21/0.52 fof(f606,plain,(
% 0.21/0.52 ~identity=identity|~spl0_7|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f585,f605])).
% 0.21/0.52 fof(f607,plain,(
% 0.21/0.52 $false|~spl0_7|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_8),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f606])).
% 0.21/0.52 fof(f608,plain,(
% 0.21/0.52 ~spl0_7|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_8),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f607])).
% 0.21/0.52 fof(f624,plain,(
% 0.21/0.52 sk_c6=multiply(inverse(sk_c7),sk_c7)|~spl0_2|~spl0_1),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f384,f328])).
% 0.21/0.52 fof(f625,plain,(
% 0.21/0.52 sk_c6=identity|~spl0_2|~spl0_1),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f36,f624])).
% 0.21/0.52 fof(f628,plain,(
% 0.21/0.52 multiply(identity,sk_c7)=identity|~spl0_2|~spl0_1|~spl0_0),
% 0.21/0.52 inference(backward_demodulation,[status(thm)],[f625,f552])).
% 0.21/0.52 fof(f629,plain,(
% 0.21/0.52 sk_c7=identity|~spl0_2|~spl0_1|~spl0_0),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f628])).
% 0.21/0.52 fof(f635,plain,(
% 0.21/0.52 multiply(identity,sk_c5)=sk_c6|~spl0_2|~spl0_1|~spl0_0|~spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f629,f107])).
% 0.21/0.52 fof(f636,plain,(
% 0.21/0.52 sk_c5=sk_c6|~spl0_2|~spl0_1|~spl0_0|~spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f635])).
% 0.21/0.52 fof(f637,plain,(
% 0.21/0.52 sk_c5=identity|~spl0_2|~spl0_1|~spl0_0|~spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f625,f636])).
% 0.21/0.52 fof(f657,plain,(
% 0.21/0.52 identity=multiply(sk_c6,sk_c5)|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f625,f389])).
% 0.21/0.52 fof(f658,plain,(
% 0.21/0.52 identity=multiply(identity,sk_c5)|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f625,f657])).
% 0.21/0.52 fof(f659,plain,(
% 0.21/0.52 identity=sk_c5|~spl0_2|~spl0_1|~spl0_4|~spl0_3),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f658])).
% 0.21/0.52 fof(f660,plain,(
% 0.21/0.52 ~multiply(identity,sk_c5)=sk_c7|~spl0_2|~spl0_1|spl0_7),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f625,f99])).
% 0.21/0.52 fof(f661,plain,(
% 0.21/0.52 ~sk_c5=sk_c7|~spl0_2|~spl0_1|spl0_7),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f660])).
% 0.21/0.52 fof(f662,plain,(
% 0.21/0.52 ~identity=sk_c7|~spl0_0|~spl0_8|~spl0_2|~spl0_1|spl0_7),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f637,f661])).
% 0.21/0.52 fof(f663,plain,(
% 0.21/0.52 ~identity=identity|~spl0_0|~spl0_8|~spl0_2|~spl0_1|spl0_7),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f629,f662])).
% 0.21/0.52 fof(f664,plain,(
% 0.21/0.52 $false|~spl0_0|~spl0_8|~spl0_2|~spl0_1|spl0_7),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f663])).
% 0.21/0.52 fof(f665,plain,(
% 0.21/0.52 ~spl0_0|~spl0_8|~spl0_2|~spl0_1|spl0_7),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f664])).
% 0.21/0.52 fof(f667,plain,(
% 0.21/0.52 ~inverse(sk_c7)=identity|~spl0_2|~spl0_1|spl0_0),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f625,f72])).
% 0.21/0.52 fof(f668,plain,(
% 0.21/0.52 sk_c7=multiply(identity,sk_c5)|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f659,f401])).
% 0.21/0.52 fof(f669,plain,(
% 0.21/0.52 sk_c7=sk_c5|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f668])).
% 0.21/0.52 fof(f670,plain,(
% 0.21/0.52 sk_c7=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f659,f669])).
% 0.21/0.52 fof(f671,plain,(
% 0.21/0.52 ~inverse(identity)=identity|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2|~spl0_1|spl0_0),
% 0.21/0.52 inference(backward_demodulation,[status(thm)],[f670,f667])).
% 0.21/0.52 fof(f681,plain,(
% 0.21/0.52 multiply(identity,sk_c2)=identity|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f670,f326])).
% 0.21/0.52 fof(f682,plain,(
% 0.21/0.52 sk_c2=identity|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f681])).
% 0.21/0.52 fof(f757,plain,(
% 0.21/0.52 inverse(identity)=sk_c7|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f682,f78])).
% 0.21/0.52 fof(f758,plain,(
% 0.21/0.52 inverse(identity)=identity|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f670,f757])).
% 0.21/0.52 fof(f759,plain,(
% 0.21/0.52 $false|spl0_0|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f758,f671])).
% 0.21/0.52 fof(f760,plain,(
% 0.21/0.52 spl0_0|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f759])).
% 0.21/0.52 fof(f775,plain,(
% 0.21/0.52 ~multiply(identity,sk_c5)=sk_c6|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f670,f108])).
% 0.21/0.52 fof(f776,plain,(
% 0.21/0.52 ~sk_c5=sk_c6|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f775])).
% 0.21/0.52 fof(f777,plain,(
% 0.21/0.52 ~identity=sk_c6|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f659,f776])).
% 0.21/0.52 fof(f778,plain,(
% 0.21/0.52 ~identity=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f625,f777])).
% 0.21/0.52 fof(f779,plain,(
% 0.21/0.52 $false|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|spl0_8),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f778])).
% 0.21/0.52 fof(f780,plain,(
% 0.21/0.52 ~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|spl0_8),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f779])).
% 0.21/0.52 fof(f781,plain,(
% 0.21/0.52 spl0_15 <=> sk_c6=sk_c6),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f783,plain,(
% 0.21/0.52 ~sk_c6=sk_c6|spl0_15),
% 0.21/0.52 inference(component_clause,[status(thm)],[f781])).
% 0.21/0.52 fof(f794,plain,(
% 0.21/0.52 $false|spl0_15),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f783])).
% 0.21/0.52 fof(f795,plain,(
% 0.21/0.52 spl0_15),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f794])).
% 0.21/0.52 fof(f810,plain,(
% 0.21/0.52 sk_c5=multiply(inverse(sk_c7),sk_c6)|~spl0_8),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f107,f328])).
% 0.21/0.52 fof(f811,plain,(
% 0.21/0.52 sk_c5=multiply(sk_c6,sk_c6)|~spl0_0|~spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f71,f810])).
% 0.21/0.52 fof(f819,plain,(
% 0.21/0.52 ~multiply(sk_c1,sk_c7)=sk_c6|~spl0_12|~spl0_9),
% 0.21/0.52 inference(resolution,[status(thm)],[f137,f116])).
% 0.21/0.52 fof(f825,plain,(
% 0.21/0.52 spl0_21 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f827,plain,(
% 0.21/0.52 ~multiply(sk_c1,sk_c7)=sk_c6|spl0_21),
% 0.21/0.52 inference(component_clause,[status(thm)],[f825])).
% 0.21/0.52 fof(f828,plain,(
% 0.21/0.52 spl0_22 <=> sk_c7=sk_c7),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f830,plain,(
% 0.21/0.52 ~sk_c7=sk_c7|spl0_22),
% 0.21/0.52 inference(component_clause,[status(thm)],[f828])).
% 0.21/0.52 fof(f841,plain,(
% 0.21/0.52 $false|spl0_22),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f830])).
% 0.21/0.52 fof(f842,plain,(
% 0.21/0.52 spl0_22),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f841])).
% 0.21/0.52 fof(f852,plain,(
% 0.21/0.52 sk_c7=multiply(inverse(sk_c1),sk_c6)|~spl0_8|~spl0_10|~spl0_7),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f198,f328])).
% 0.21/0.52 fof(f853,plain,(
% 0.21/0.52 sk_c7=multiply(sk_c7,sk_c6)|~spl0_9|~spl0_8|~spl0_10|~spl0_7),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f116,f852])).
% 0.21/0.52 fof(f876,plain,(
% 0.21/0.52 ~sk_c6=sk_c6|~spl0_8|~spl0_10|~spl0_7|~spl0_12|~spl0_9),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f198,f819])).
% 0.21/0.52 fof(f877,plain,(
% 0.21/0.52 $false|~spl0_8|~spl0_10|~spl0_7|~spl0_12|~spl0_9),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f876])).
% 0.21/0.52 fof(f878,plain,(
% 0.21/0.52 ~spl0_8|~spl0_10|~spl0_7|~spl0_12|~spl0_9),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f877])).
% 0.21/0.52 fof(f879,plain,(
% 0.21/0.52 ~sk_c6=sk_c6|~spl0_8|~spl0_10|~spl0_7|spl0_21),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f198,f827])).
% 0.21/0.52 fof(f880,plain,(
% 0.21/0.52 $false|~spl0_8|~spl0_10|~spl0_7|spl0_21),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f879])).
% 0.21/0.52 fof(f881,plain,(
% 0.21/0.52 ~spl0_8|~spl0_10|~spl0_7|spl0_21),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f880])).
% 0.21/0.52 fof(f885,plain,(
% 0.21/0.52 sk_c6=multiply(inverse(sk_c7),sk_c7)|~spl0_9|~spl0_8|~spl0_10|~spl0_7),
% 0.21/0.52 inference(paramodulation,[status(thm)],[f853,f328])).
% 0.21/0.52 fof(f886,plain,(
% 0.21/0.52 sk_c6=identity|~spl0_9|~spl0_8|~spl0_10|~spl0_7),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f36,f885])).
% 0.21/0.52 fof(f921,plain,(
% 0.21/0.52 multiply(identity,sk_c7)=identity|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(backward_demodulation,[status(thm)],[f886,f552])).
% 0.21/0.52 fof(f922,plain,(
% 0.21/0.52 sk_c7=identity|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f921])).
% 0.21/0.52 fof(f927,plain,(
% 0.21/0.52 inverse(sk_c7)=identity|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(backward_demodulation,[status(thm)],[f886,f71])).
% 0.21/0.52 fof(f1303,plain,(
% 0.21/0.52 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_11)),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f670,f134])).
% 0.21/0.52 fof(f1304,plain,(
% 0.21/0.52 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_11)),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f625,f1303])).
% 0.21/0.52 fof(f1305,plain,(
% 0.21/0.52 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_11)),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f670,f1304])).
% 0.21/0.52 fof(f1306,plain,(
% 0.21/0.52 ~multiply(identity,identity)=identity|~spl0_11|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2),
% 0.21/0.52 inference(resolution,[status(thm)],[f1305,f758])).
% 0.21/0.52 fof(f1307,plain,(
% 0.21/0.52 ~identity=identity|~spl0_11|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f1306])).
% 0.21/0.52 fof(f1308,plain,(
% 0.21/0.52 $false|~spl0_11|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f1307])).
% 0.21/0.52 fof(f1309,plain,(
% 0.21/0.52 ~spl0_11|~spl0_1|~spl0_4|~spl0_3|~spl0_5|~spl0_6|~spl0_2),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f1308])).
% 0.21/0.52 fof(f1323,plain,(
% 0.21/0.52 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,identity)=sk_c5|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0|~spl0_14)),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f922,f143])).
% 0.21/0.52 fof(f1325,plain,(
% 0.21/0.52 inverse(identity)=identity|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f922,f927])).
% 0.21/0.52 fof(f1348,plain,(
% 0.21/0.52 ![X0]: (~multiply(X0,identity)=sk_c5|~inverse(X0)=sk_c6|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_13)),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f886,f140])).
% 0.21/0.52 fof(f1349,plain,(
% 0.21/0.52 ![X0]: (~multiply(X0,identity)=sk_c5|~inverse(X0)=identity|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_13)),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f886,f1348])).
% 0.21/0.52 fof(f1374,plain,(
% 0.21/0.52 sk_c5=multiply(identity,sk_c6)|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f886,f811])).
% 0.21/0.52 fof(f1375,plain,(
% 0.21/0.52 sk_c5=sk_c6|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f1374])).
% 0.21/0.52 fof(f1376,plain,(
% 0.21/0.52 sk_c5=identity|~spl0_9|~spl0_10|~spl0_7|~spl0_0|~spl0_8),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f886,f1375])).
% 0.21/0.52 fof(f1421,plain,(
% 0.21/0.52 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_13)),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f1376,f1349])).
% 0.21/0.52 fof(f1422,plain,(
% 0.21/0.52 ~multiply(identity,identity)=identity|~spl0_13|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(resolution,[status(thm)],[f1421,f1325])).
% 0.21/0.52 fof(f1423,plain,(
% 0.21/0.52 ~identity=identity|~spl0_13|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f1422])).
% 0.21/0.52 fof(f1424,plain,(
% 0.21/0.52 $false|~spl0_13|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f1423])).
% 0.21/0.52 fof(f1425,plain,(
% 0.21/0.52 ~spl0_13|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f1424])).
% 0.21/0.52 fof(f1426,plain,(
% 0.21/0.52 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c5|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0|~spl0_14)),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f1376,f1323])).
% 0.21/0.52 fof(f1427,plain,(
% 0.21/0.52 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0|~spl0_14)),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f1376,f1426])).
% 0.21/0.52 fof(f1428,plain,(
% 0.21/0.52 ~multiply(identity,identity)=identity|~spl0_14|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(resolution,[status(thm)],[f1427,f1325])).
% 0.21/0.52 fof(f1429,plain,(
% 0.21/0.52 ~identity=identity|~spl0_14|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(forward_demodulation,[status(thm)],[f35,f1428])).
% 0.21/0.52 fof(f1430,plain,(
% 0.21/0.52 $false|~spl0_14|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(trivial_equality_resolution,[status(esa)],[f1429])).
% 0.21/0.52 fof(f1431,plain,(
% 0.21/0.52 ~spl0_14|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_0),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f1430])).
% 0.21/0.52 fof(f1432,plain,(
% 0.21/0.52 $false),
% 0.21/0.52 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f104,f109,f110,f111,f112,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f145,f149,f153,f157,f161,f608,f665,f760,f780,f795,f842,f878,f881,f1309,f1425,f1431])).
% 0.21/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.52 % Elapsed time: 0.167719 seconds
% 0.21/0.52 % CPU time: 1.233365 seconds
% 0.21/0.52 % Total memory used: 83.782 MB
% 0.21/0.52 % Net memory used: 82.680 MB
%------------------------------------------------------------------------------