TSTP Solution File: GRP295-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:20:00 EDT 2024
% Result : Unsatisfiable 0.21s 0.47s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n005.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 00:14:56 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.21/0.47 % Refutation found
% 0.21/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.47 fof(f1,axiom,(
% 0.21/0.47 (![X]: (multiply(identity,X) = X ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f2,axiom,(
% 0.21/0.47 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f3,axiom,(
% 0.21/0.47 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f4,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f5,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f6,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f9,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f10,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f11,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f12,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f13,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f14,negated_conjecture,(
% 0.21/0.47 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f15,negated_conjecture,(
% 0.21/0.47 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f16,negated_conjecture,(
% 0.21/0.47 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f17,negated_conjecture,(
% 0.21/0.47 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f18,negated_conjecture,(
% 0.21/0.47 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f20,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f21,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f24,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f25,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f26,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f27,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f28,negated_conjecture,(
% 0.21/0.47 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f29,negated_conjecture,(
% 0.21/0.47 ( inverse(sk_c2) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f30,negated_conjecture,(
% 0.21/0.47 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.47 fof(f31,negated_conjecture,(
% 0.21/0.47 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f32,negated_conjecture,(
% 0.21/0.48 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f33,negated_conjecture,(
% 0.21/0.48 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f34,negated_conjecture,(
% 0.21/0.48 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| multiply(X4,sk_c7) != sk_c5| inverse(X4) != sk_c7| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.21/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.48 fof(f35,plain,(
% 0.21/0.48 ![X0]: (multiply(identity,X0)=X0)),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f1])).
% 0.21/0.48 fof(f36,plain,(
% 0.21/0.48 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f2])).
% 0.21/0.48 fof(f37,plain,(
% 0.21/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f3])).
% 0.21/0.48 fof(f38,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f4])).
% 0.21/0.48 fof(f39,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f5])).
% 0.21/0.48 fof(f40,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.48 fof(f43,plain,(
% 0.21/0.48 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.48 fof(f44,plain,(
% 0.21/0.48 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f10])).
% 0.21/0.48 fof(f45,plain,(
% 0.21/0.48 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f11])).
% 0.21/0.48 fof(f46,plain,(
% 0.21/0.48 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f12])).
% 0.21/0.48 fof(f47,plain,(
% 0.21/0.48 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f13])).
% 0.21/0.48 fof(f48,plain,(
% 0.21/0.48 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.48 fof(f49,plain,(
% 0.21/0.48 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.48 fof(f50,plain,(
% 0.21/0.48 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f16])).
% 0.21/0.48 fof(f51,plain,(
% 0.21/0.48 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.48 fof(f52,plain,(
% 0.21/0.48 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f18])).
% 0.21/0.48 fof(f54,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f20])).
% 0.21/0.48 fof(f55,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f21])).
% 0.21/0.48 fof(f58,plain,(
% 0.21/0.48 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.48 fof(f59,plain,(
% 0.21/0.48 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f25])).
% 0.21/0.48 fof(f60,plain,(
% 0.21/0.48 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f26])).
% 0.21/0.48 fof(f61,plain,(
% 0.21/0.48 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f27])).
% 0.21/0.48 fof(f62,plain,(
% 0.21/0.48 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f28])).
% 0.21/0.48 fof(f63,plain,(
% 0.21/0.48 inverse(sk_c2)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f29])).
% 0.21/0.48 fof(f64,plain,(
% 0.21/0.48 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f30])).
% 0.21/0.48 fof(f65,plain,(
% 0.21/0.48 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.48 fof(f66,plain,(
% 0.21/0.48 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f32])).
% 0.21/0.48 fof(f67,plain,(
% 0.21/0.48 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f33])).
% 0.21/0.48 fof(f68,plain,(
% 0.21/0.48 ![X2]: (((![X1]: ((((![X4]: ((((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(sk_c7,sk_c5)=sk_c6)|~multiply(X4,sk_c7)=sk_c5)|~inverse(X4)=sk_c7))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.21/0.48 inference(miniscoping,[status(esa)],[f34])).
% 0.21/0.48 fof(f69,plain,(
% 0.21/0.48 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~multiply(X1,sk_c7)=sk_c5|~inverse(X1)=sk_c7|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.21/0.48 inference(cnf_transformation,[status(esa)],[f68])).
% 0.21/0.48 fof(f70,plain,(
% 0.21/0.48 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c5),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f71,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c6)=sk_c5|~spl0_0),
% 0.21/0.48 inference(component_clause,[status(thm)],[f70])).
% 0.21/0.48 fof(f72,plain,(
% 0.21/0.48 ~multiply(sk_c7,sk_c6)=sk_c5|spl0_0),
% 0.21/0.48 inference(component_clause,[status(thm)],[f70])).
% 0.21/0.48 fof(f73,plain,(
% 0.21/0.48 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f74,plain,(
% 0.21/0.48 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.21/0.48 inference(component_clause,[status(thm)],[f73])).
% 0.21/0.48 fof(f75,plain,(
% 0.21/0.48 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.21/0.48 inference(component_clause,[status(thm)],[f73])).
% 0.21/0.48 fof(f76,plain,(
% 0.21/0.48 spl0_0|spl0_1),
% 0.21/0.48 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.21/0.48 fof(f77,plain,(
% 0.21/0.48 spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f78,plain,(
% 0.21/0.48 inverse(sk_c3)=sk_c7|~spl0_2),
% 0.21/0.48 inference(component_clause,[status(thm)],[f77])).
% 0.21/0.48 fof(f80,plain,(
% 0.21/0.48 spl0_0|spl0_2),
% 0.21/0.48 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.21/0.48 fof(f81,plain,(
% 0.21/0.48 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f82,plain,(
% 0.21/0.48 multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.21/0.48 inference(component_clause,[status(thm)],[f81])).
% 0.21/0.48 fof(f84,plain,(
% 0.21/0.48 spl0_0|spl0_3),
% 0.21/0.48 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.21/0.48 fof(f85,plain,(
% 0.21/0.48 spl0_4 <=> inverse(sk_c4)=sk_c6),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f86,plain,(
% 0.21/0.48 inverse(sk_c4)=sk_c6|~spl0_4),
% 0.21/0.48 inference(component_clause,[status(thm)],[f85])).
% 0.21/0.48 fof(f89,plain,(
% 0.21/0.48 spl0_5 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f90,plain,(
% 0.21/0.48 multiply(sk_c4,sk_c5)=sk_c6|~spl0_5),
% 0.21/0.48 inference(component_clause,[status(thm)],[f89])).
% 0.21/0.48 fof(f93,plain,(
% 0.21/0.48 spl0_6 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f94,plain,(
% 0.21/0.48 multiply(sk_c1,sk_c7)=sk_c6|~spl0_6),
% 0.21/0.48 inference(component_clause,[status(thm)],[f93])).
% 0.21/0.48 fof(f96,plain,(
% 0.21/0.48 spl0_6|spl0_1),
% 0.21/0.48 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.21/0.48 fof(f97,plain,(
% 0.21/0.48 spl0_6|spl0_2),
% 0.21/0.48 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.21/0.48 fof(f98,plain,(
% 0.21/0.48 spl0_6|spl0_3),
% 0.21/0.48 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.21/0.48 fof(f99,plain,(
% 0.21/0.48 spl0_6|spl0_4),
% 0.21/0.48 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.21/0.48 fof(f100,plain,(
% 0.21/0.48 spl0_6|spl0_5),
% 0.21/0.48 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.21/0.48 fof(f101,plain,(
% 0.21/0.48 spl0_7 <=> inverse(sk_c1)=sk_c7),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f102,plain,(
% 0.21/0.48 inverse(sk_c1)=sk_c7|~spl0_7),
% 0.21/0.48 inference(component_clause,[status(thm)],[f101])).
% 0.21/0.48 fof(f104,plain,(
% 0.21/0.48 spl0_7|spl0_1),
% 0.21/0.48 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.21/0.48 fof(f105,plain,(
% 0.21/0.48 spl0_7|spl0_2),
% 0.21/0.48 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.21/0.48 fof(f106,plain,(
% 0.21/0.48 spl0_7|spl0_3),
% 0.21/0.48 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.21/0.48 fof(f107,plain,(
% 0.21/0.48 spl0_7|spl0_4),
% 0.21/0.48 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.21/0.48 fof(f108,plain,(
% 0.21/0.48 spl0_7|spl0_5),
% 0.21/0.48 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.21/0.48 fof(f109,plain,(
% 0.21/0.48 spl0_8 <=> multiply(sk_c7,sk_c5)=sk_c6),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f110,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c5)=sk_c6|~spl0_8),
% 0.21/0.48 inference(component_clause,[status(thm)],[f109])).
% 0.21/0.48 fof(f111,plain,(
% 0.21/0.48 ~multiply(sk_c7,sk_c5)=sk_c6|spl0_8),
% 0.21/0.48 inference(component_clause,[status(thm)],[f109])).
% 0.21/0.48 fof(f113,plain,(
% 0.21/0.48 spl0_8|spl0_2),
% 0.21/0.48 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.21/0.48 fof(f114,plain,(
% 0.21/0.48 spl0_8|spl0_3),
% 0.21/0.48 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.21/0.48 fof(f117,plain,(
% 0.21/0.48 spl0_9 <=> multiply(sk_c2,sk_c7)=sk_c5),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f118,plain,(
% 0.21/0.48 multiply(sk_c2,sk_c7)=sk_c5|~spl0_9),
% 0.21/0.48 inference(component_clause,[status(thm)],[f117])).
% 0.21/0.48 fof(f120,plain,(
% 0.21/0.48 spl0_9|spl0_1),
% 0.21/0.48 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.21/0.48 fof(f121,plain,(
% 0.21/0.48 spl0_9|spl0_2),
% 0.21/0.48 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.21/0.48 fof(f122,plain,(
% 0.21/0.48 spl0_9|spl0_3),
% 0.21/0.48 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.21/0.48 fof(f123,plain,(
% 0.21/0.48 spl0_9|spl0_4),
% 0.21/0.48 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.21/0.48 fof(f124,plain,(
% 0.21/0.48 spl0_9|spl0_5),
% 0.21/0.48 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.21/0.48 fof(f125,plain,(
% 0.21/0.48 spl0_10 <=> inverse(sk_c2)=sk_c7),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f126,plain,(
% 0.21/0.48 inverse(sk_c2)=sk_c7|~spl0_10),
% 0.21/0.48 inference(component_clause,[status(thm)],[f125])).
% 0.21/0.48 fof(f128,plain,(
% 0.21/0.48 spl0_10|spl0_1),
% 0.21/0.48 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.21/0.48 fof(f129,plain,(
% 0.21/0.48 spl0_10|spl0_2),
% 0.21/0.48 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.21/0.48 fof(f130,plain,(
% 0.21/0.48 spl0_10|spl0_3),
% 0.21/0.48 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.21/0.48 fof(f131,plain,(
% 0.21/0.48 spl0_10|spl0_4),
% 0.21/0.48 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.21/0.48 fof(f132,plain,(
% 0.21/0.48 spl0_10|spl0_5),
% 0.21/0.48 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.21/0.48 fof(f133,plain,(
% 0.21/0.48 spl0_11 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f134,plain,(
% 0.21/0.48 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_11)),
% 0.21/0.48 inference(component_clause,[status(thm)],[f133])).
% 0.21/0.48 fof(f136,plain,(
% 0.21/0.48 spl0_12 <=> ~multiply(X1,sk_c7)=sk_c5|~inverse(X1)=sk_c7),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f137,plain,(
% 0.21/0.48 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~spl0_12)),
% 0.21/0.48 inference(component_clause,[status(thm)],[f136])).
% 0.21/0.48 fof(f139,plain,(
% 0.21/0.48 spl0_13 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f140,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_13)),
% 0.21/0.48 inference(component_clause,[status(thm)],[f139])).
% 0.21/0.48 fof(f142,plain,(
% 0.21/0.48 spl0_14 <=> ~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f143,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_14)),
% 0.21/0.48 inference(component_clause,[status(thm)],[f142])).
% 0.21/0.48 fof(f145,plain,(
% 0.21/0.48 ~spl0_0|spl0_11|~spl0_8|spl0_12|~spl0_1|spl0_13|spl0_14),
% 0.21/0.48 inference(split_clause,[status(thm)],[f69,f70,f133,f109,f136,f73,f139,f142])).
% 0.21/0.48 fof(f146,plain,(
% 0.21/0.48 ~inverse(sk_c4)=sk_c6|~spl0_14|~spl0_5),
% 0.21/0.48 inference(resolution,[status(thm)],[f143,f90])).
% 0.21/0.48 fof(f147,plain,(
% 0.21/0.48 ~sk_c6=sk_c6|~spl0_4|~spl0_14|~spl0_5),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f86,f146])).
% 0.21/0.48 fof(f148,plain,(
% 0.21/0.48 $false|~spl0_4|~spl0_14|~spl0_5),
% 0.21/0.48 inference(trivial_equality_resolution,[status(esa)],[f147])).
% 0.21/0.48 fof(f149,plain,(
% 0.21/0.48 ~spl0_4|~spl0_14|~spl0_5),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f148])).
% 0.21/0.48 fof(f150,plain,(
% 0.21/0.48 ~inverse(sk_c3)=sk_c7|~spl0_13|~spl0_3),
% 0.21/0.48 inference(resolution,[status(thm)],[f140,f82])).
% 0.21/0.48 fof(f151,plain,(
% 0.21/0.48 ~sk_c7=sk_c7|~spl0_2|~spl0_13|~spl0_3),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f78,f150])).
% 0.21/0.48 fof(f152,plain,(
% 0.21/0.48 $false|~spl0_2|~spl0_13|~spl0_3),
% 0.21/0.48 inference(trivial_equality_resolution,[status(esa)],[f151])).
% 0.21/0.48 fof(f153,plain,(
% 0.21/0.48 ~spl0_2|~spl0_13|~spl0_3),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f152])).
% 0.21/0.48 fof(f154,plain,(
% 0.21/0.48 ~inverse(sk_c2)=sk_c7|~spl0_12|~spl0_9),
% 0.21/0.48 inference(resolution,[status(thm)],[f137,f118])).
% 0.21/0.48 fof(f155,plain,(
% 0.21/0.48 ~sk_c7=sk_c7|~spl0_10|~spl0_12|~spl0_9),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f126,f154])).
% 0.21/0.48 fof(f156,plain,(
% 0.21/0.48 $false|~spl0_10|~spl0_12|~spl0_9),
% 0.21/0.48 inference(trivial_equality_resolution,[status(esa)],[f155])).
% 0.21/0.48 fof(f157,plain,(
% 0.21/0.48 ~spl0_10|~spl0_12|~spl0_9),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f156])).
% 0.21/0.48 fof(f158,plain,(
% 0.21/0.48 ~inverse(sk_c1)=sk_c7|~spl0_11|~spl0_6),
% 0.21/0.48 inference(resolution,[status(thm)],[f134,f94])).
% 0.21/0.48 fof(f159,plain,(
% 0.21/0.48 ~sk_c7=sk_c7|~spl0_7|~spl0_11|~spl0_6),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f102,f158])).
% 0.21/0.48 fof(f160,plain,(
% 0.21/0.48 $false|~spl0_7|~spl0_11|~spl0_6),
% 0.21/0.48 inference(trivial_equality_resolution,[status(esa)],[f159])).
% 0.21/0.48 fof(f161,plain,(
% 0.21/0.48 ~spl0_7|~spl0_11|~spl0_6),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f160])).
% 0.21/0.48 fof(f162,plain,(
% 0.21/0.48 spl0_15 <=> inverse(sk_c7)=sk_c7),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f165,plain,(
% 0.21/0.48 spl0_16 <=> sk_c5=sk_c7),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f166,plain,(
% 0.21/0.48 sk_c5=sk_c7|~spl0_16),
% 0.21/0.48 inference(component_clause,[status(thm)],[f165])).
% 0.21/0.48 fof(f167,plain,(
% 0.21/0.48 ~sk_c5=sk_c7|spl0_16),
% 0.21/0.48 inference(component_clause,[status(thm)],[f165])).
% 0.21/0.48 fof(f168,plain,(
% 0.21/0.48 ~inverse(sk_c7)=sk_c7|~sk_c5=sk_c7|~spl0_13|~spl0_0),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f71,f140])).
% 0.21/0.48 fof(f169,plain,(
% 0.21/0.48 ~spl0_15|~spl0_16|~spl0_13|~spl0_0),
% 0.21/0.48 inference(split_clause,[status(thm)],[f168,f162,f165,f139,f70])).
% 0.21/0.48 fof(f179,plain,(
% 0.21/0.48 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~spl0_0)),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f71,f37])).
% 0.21/0.48 fof(f180,plain,(
% 0.21/0.48 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~spl0_6)),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f94,f37])).
% 0.21/0.48 fof(f191,plain,(
% 0.21/0.48 multiply(sk_c6,sk_c5)=multiply(sk_c1,sk_c6)|~spl0_6|~spl0_8),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f110,f180])).
% 0.21/0.48 fof(f192,plain,(
% 0.21/0.48 multiply(sk_c6,sk_c6)=multiply(sk_c1,sk_c5)|~spl0_6|~spl0_0),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f71,f180])).
% 0.21/0.48 fof(f231,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c1)=identity|~spl0_7),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f102,f36])).
% 0.21/0.48 fof(f232,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c2)=identity|~spl0_10),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f126,f36])).
% 0.21/0.48 fof(f233,plain,(
% 0.21/0.48 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.21/0.48 fof(f234,plain,(
% 0.21/0.48 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f35,f233])).
% 0.21/0.48 fof(f237,plain,(
% 0.21/0.48 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_7)),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f231,f37])).
% 0.21/0.48 fof(f238,plain,(
% 0.21/0.48 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_7)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f35,f237])).
% 0.21/0.48 fof(f241,plain,(
% 0.21/0.48 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_10)),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f232,f37])).
% 0.21/0.48 fof(f242,plain,(
% 0.21/0.48 ![X0]: (X0=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_10)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f35,f241])).
% 0.21/0.48 fof(f245,plain,(
% 0.21/0.48 sk_c6=multiply(sk_c7,multiply(sk_c6,sk_c5))|~spl0_7|~spl0_6|~spl0_8),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f191,f238])).
% 0.21/0.48 fof(f246,plain,(
% 0.21/0.48 sk_c6=multiply(sk_c5,sk_c5)|~spl0_0|~spl0_7|~spl0_6|~spl0_8),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f179,f245])).
% 0.21/0.48 fof(f253,plain,(
% 0.21/0.48 sk_c7=multiply(sk_c7,sk_c6)|~spl0_7|~spl0_6),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f94,f238])).
% 0.21/0.48 fof(f254,plain,(
% 0.21/0.48 sk_c7=sk_c5|~spl0_0|~spl0_7|~spl0_6),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f71,f253])).
% 0.21/0.48 fof(f255,plain,(
% 0.21/0.48 $false|spl0_16|~spl0_0|~spl0_7|~spl0_6),
% 0.21/0.48 inference(forward_subsumption_resolution,[status(thm)],[f254,f167])).
% 0.21/0.48 fof(f256,plain,(
% 0.21/0.48 spl0_16|~spl0_0|~spl0_7|~spl0_6),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f255])).
% 0.21/0.48 fof(f265,plain,(
% 0.21/0.48 multiply(sk_c6,sk_c6)=multiply(sk_c1,sk_c7)|~spl0_7|~spl0_6|~spl0_0),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f254,f192])).
% 0.21/0.48 fof(f266,plain,(
% 0.21/0.48 multiply(sk_c6,sk_c6)=sk_c6|~spl0_7|~spl0_6|~spl0_0),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f94,f265])).
% 0.21/0.48 fof(f279,plain,(
% 0.21/0.48 ~multiply(sk_c6,sk_c7)=sk_c7|~spl0_0|~spl0_7|~spl0_6|spl0_1),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f254,f75])).
% 0.21/0.48 fof(f282,plain,(
% 0.21/0.48 multiply(sk_c2,sk_c7)=sk_c7|~spl0_0|~spl0_7|~spl0_6|~spl0_9),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f254,f118])).
% 0.21/0.48 fof(f289,plain,(
% 0.21/0.48 sk_c6=multiply(sk_c7,sk_c5)|~spl0_0|~spl0_7|~spl0_6|~spl0_8),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f254,f246])).
% 0.21/0.48 fof(f290,plain,(
% 0.21/0.48 sk_c6=multiply(sk_c7,sk_c7)|~spl0_0|~spl0_7|~spl0_6|~spl0_8),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f254,f289])).
% 0.21/0.48 fof(f296,plain,(
% 0.21/0.48 sk_c7=multiply(sk_c7,sk_c7)|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_9),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f282,f242])).
% 0.21/0.48 fof(f297,plain,(
% 0.21/0.48 sk_c7=sk_c6|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_9),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f290,f296])).
% 0.21/0.48 fof(f302,plain,(
% 0.21/0.48 ~multiply(sk_c7,sk_c7)=sk_c7|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_6|spl0_1),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f297,f279])).
% 0.21/0.48 fof(f303,plain,(
% 0.21/0.48 multiply(sk_c6,sk_c6)=sk_c7|~spl0_8|~spl0_10|~spl0_9|~spl0_7|~spl0_6|~spl0_0),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f297,f266])).
% 0.21/0.48 fof(f304,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c6)=sk_c7|~spl0_8|~spl0_10|~spl0_9|~spl0_7|~spl0_6|~spl0_0),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f297,f303])).
% 0.21/0.48 fof(f305,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c7)=sk_c7|~spl0_8|~spl0_10|~spl0_9|~spl0_7|~spl0_6|~spl0_0),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f297,f304])).
% 0.21/0.48 fof(f306,plain,(
% 0.21/0.48 sk_c7=multiply(sk_c7,sk_c7)|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_6|~spl0_8),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f297,f290])).
% 0.21/0.48 fof(f310,plain,(
% 0.21/0.48 multiply(sk_c1,sk_c7)=sk_c7|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_9|~spl0_6),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f297,f94])).
% 0.21/0.48 fof(f312,plain,(
% 0.21/0.48 $false|spl0_1|~spl0_8|~spl0_10|~spl0_9|~spl0_7|~spl0_6|~spl0_0),
% 0.21/0.48 inference(forward_subsumption_resolution,[status(thm)],[f305,f302])).
% 0.21/0.48 fof(f313,plain,(
% 0.21/0.48 spl0_1|~spl0_8|~spl0_10|~spl0_9|~spl0_7|~spl0_6|~spl0_0),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f312])).
% 0.21/0.48 fof(f314,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c7|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_13)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f297,f140])).
% 0.21/0.48 fof(f320,plain,(
% 0.21/0.48 ~multiply(sk_c1,sk_c7)=sk_c7|~spl0_8|~spl0_10|~spl0_0|~spl0_6|~spl0_9|~spl0_13|~spl0_7),
% 0.21/0.48 inference(resolution,[status(thm)],[f314,f102])).
% 0.21/0.48 fof(f321,plain,(
% 0.21/0.48 ~sk_c7=sk_c7|~spl0_8|~spl0_10|~spl0_0|~spl0_6|~spl0_9|~spl0_13|~spl0_7),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f310,f320])).
% 0.21/0.48 fof(f322,plain,(
% 0.21/0.48 $false|~spl0_8|~spl0_10|~spl0_0|~spl0_6|~spl0_9|~spl0_13|~spl0_7),
% 0.21/0.48 inference(trivial_equality_resolution,[status(esa)],[f321])).
% 0.21/0.48 fof(f323,plain,(
% 0.21/0.48 ~spl0_8|~spl0_10|~spl0_0|~spl0_6|~spl0_9|~spl0_13|~spl0_7),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f322])).
% 0.21/0.48 fof(f324,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c5)=sk_c6|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_14)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f297,f143])).
% 0.21/0.48 fof(f325,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c6|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_14)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f254,f324])).
% 0.21/0.48 fof(f326,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c7|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_14)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f297,f325])).
% 0.21/0.48 fof(f343,plain,(
% 0.21/0.48 sk_c7=multiply(inverse(sk_c7),sk_c7)|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_6|~spl0_8),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f306,f234])).
% 0.21/0.48 fof(f344,plain,(
% 0.21/0.48 sk_c7=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_7|~spl0_6|~spl0_8),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f36,f343])).
% 0.21/0.48 fof(f369,plain,(
% 0.21/0.48 multiply(identity,sk_c1)=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f344,f231])).
% 0.21/0.48 fof(f370,plain,(
% 0.21/0.48 sk_c1=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f35,f369])).
% 0.21/0.48 fof(f371,plain,(
% 0.21/0.48 inverse(sk_c1)=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f344,f102])).
% 0.21/0.48 fof(f375,plain,(
% 0.21/0.48 inverse(identity)=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f370,f371])).
% 0.21/0.48 fof(f493,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c7)=sk_c7|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_14)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f344,f326])).
% 0.21/0.48 fof(f494,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_14)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f344,f493])).
% 0.21/0.48 fof(f495,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_8|~spl0_10|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_14)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f344,f494])).
% 0.21/0.48 fof(f496,plain,(
% 0.21/0.48 ~multiply(identity,identity)=identity|~spl0_14|~spl0_10|~spl0_9|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.21/0.48 inference(resolution,[status(thm)],[f495,f375])).
% 0.21/0.48 fof(f497,plain,(
% 0.21/0.48 ~identity=identity|~spl0_14|~spl0_10|~spl0_9|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f35,f496])).
% 0.21/0.48 fof(f498,plain,(
% 0.21/0.48 $false|~spl0_14|~spl0_10|~spl0_9|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.21/0.48 inference(trivial_equality_resolution,[status(esa)],[f497])).
% 0.21/0.48 fof(f499,plain,(
% 0.21/0.48 ~spl0_14|~spl0_10|~spl0_9|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f498])).
% 0.21/0.48 fof(f500,plain,(
% 0.21/0.48 spl0_19 <=> sk_c5=sk_c6),
% 0.21/0.48 introduced(split_symbol_definition)).
% 0.21/0.48 fof(f507,plain,(
% 0.21/0.48 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_2)),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f78,f234])).
% 0.21/0.48 fof(f508,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c3)=identity|~spl0_2),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f78,f36])).
% 0.21/0.48 fof(f509,plain,(
% 0.21/0.48 sk_c6=multiply(inverse(sk_c3),sk_c7)|~spl0_3),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f82,f234])).
% 0.21/0.48 fof(f510,plain,(
% 0.21/0.48 sk_c6=multiply(sk_c7,sk_c7)|~spl0_2|~spl0_3),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f78,f509])).
% 0.21/0.48 fof(f511,plain,(
% 0.21/0.48 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~spl0_3)),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f82,f37])).
% 0.21/0.48 fof(f529,plain,(
% 0.21/0.48 ~multiply(sk_c7,sk_c7)=sk_c6|~spl0_16|spl0_8),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f166,f111])).
% 0.21/0.48 fof(f539,plain,(
% 0.21/0.48 $false|~spl0_16|spl0_8|~spl0_2|~spl0_3),
% 0.21/0.48 inference(forward_subsumption_resolution,[status(thm)],[f510,f529])).
% 0.21/0.48 fof(f540,plain,(
% 0.21/0.48 ~spl0_16|spl0_8|~spl0_2|~spl0_3),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f539])).
% 0.21/0.48 fof(f543,plain,(
% 0.21/0.48 sk_c5=multiply(inverse(sk_c4),sk_c6)|~spl0_5),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f90,f234])).
% 0.21/0.48 fof(f544,plain,(
% 0.21/0.48 sk_c5=multiply(sk_c6,sk_c6)|~spl0_4|~spl0_5),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f86,f543])).
% 0.21/0.48 fof(f586,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c6)=multiply(sk_c3,sk_c5)|~spl0_3|~spl0_4|~spl0_5),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f544,f511])).
% 0.21/0.48 fof(f587,plain,(
% 0.21/0.48 sk_c5=multiply(sk_c3,sk_c5)|~spl0_0|~spl0_3|~spl0_4|~spl0_5),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f71,f586])).
% 0.21/0.48 fof(f588,plain,(
% 0.21/0.48 multiply(sk_c7,sk_c7)=multiply(sk_c3,sk_c5)|~spl0_3|~spl0_1),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f74,f511])).
% 0.21/0.48 fof(f589,plain,(
% 0.21/0.48 sk_c6=multiply(sk_c3,sk_c5)|~spl0_2|~spl0_3|~spl0_1),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f510,f588])).
% 0.21/0.48 fof(f597,plain,(
% 0.21/0.48 sk_c5=multiply(sk_c7,sk_c5)|~spl0_2|~spl0_0|~spl0_3|~spl0_4|~spl0_5),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f587,f507])).
% 0.21/0.48 fof(f601,plain,(
% 0.21/0.48 sk_c6=sk_c5|~spl0_0|~spl0_4|~spl0_5|~spl0_2|~spl0_3|~spl0_1),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f587,f589])).
% 0.21/0.48 fof(f602,plain,(
% 0.21/0.48 sk_c5=multiply(sk_c3,sk_c6)|~spl0_2|~spl0_1|~spl0_0|~spl0_3|~spl0_4|~spl0_5),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f601,f587])).
% 0.21/0.48 fof(f603,plain,(
% 0.21/0.48 sk_c6=multiply(sk_c3,sk_c6)|~spl0_2|~spl0_1|~spl0_0|~spl0_3|~spl0_4|~spl0_5),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f601,f602])).
% 0.21/0.48 fof(f604,plain,(
% 0.21/0.48 sk_c6=sk_c7|~spl0_2|~spl0_1|~spl0_0|~spl0_3|~spl0_4|~spl0_5),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f82,f603])).
% 0.21/0.48 fof(f614,plain,(
% 0.21/0.48 sk_c7=sk_c5|~spl0_0|~spl0_4|~spl0_5|~spl0_2|~spl0_3|~spl0_1),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f604,f601])).
% 0.21/0.48 fof(f615,plain,(
% 0.21/0.48 spl0_16|~spl0_0|~spl0_4|~spl0_5|~spl0_2|~spl0_3|~spl0_1),
% 0.21/0.48 inference(split_clause,[status(thm)],[f614,f165,f70,f85,f89,f77,f81,f73])).
% 0.21/0.48 fof(f622,plain,(
% 0.21/0.48 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~spl0_2|~spl0_1|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_11)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f604,f134])).
% 0.21/0.48 fof(f643,plain,(
% 0.21/0.48 ~sk_c6=sk_c5|~inverse(sk_c1)=sk_c7|~spl0_12|~spl0_6),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f94,f137])).
% 0.21/0.48 fof(f644,plain,(
% 0.21/0.48 ~spl0_19|~spl0_7|~spl0_12|~spl0_6),
% 0.21/0.48 inference(split_clause,[status(thm)],[f643,f500,f101,f136,f93])).
% 0.21/0.48 fof(f645,plain,(
% 0.21/0.48 sk_c7=multiply(sk_c7,sk_c5)|~spl0_16|~spl0_2|~spl0_0|~spl0_3|~spl0_4|~spl0_5),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f166,f597])).
% 0.21/0.48 fof(f646,plain,(
% 0.21/0.48 sk_c7=multiply(sk_c7,sk_c7)|~spl0_16|~spl0_2|~spl0_0|~spl0_3|~spl0_4|~spl0_5),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f166,f645])).
% 0.21/0.48 fof(f647,plain,(
% 0.21/0.48 sk_c7=multiply(inverse(sk_c7),sk_c7)|~spl0_16|~spl0_2|~spl0_0|~spl0_3|~spl0_4|~spl0_5),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f646,f234])).
% 0.21/0.48 fof(f648,plain,(
% 0.21/0.48 sk_c7=identity|~spl0_16|~spl0_2|~spl0_0|~spl0_3|~spl0_4|~spl0_5),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f36,f647])).
% 0.21/0.48 fof(f653,plain,(
% 0.21/0.48 sk_c5=identity|~spl0_2|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_16),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f648,f166])).
% 0.21/0.48 fof(f657,plain,(
% 0.21/0.48 multiply(identity,sk_c3)=identity|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f648,f508])).
% 0.21/0.48 fof(f658,plain,(
% 0.21/0.48 sk_c3=identity|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f35,f657])).
% 0.21/0.48 fof(f660,plain,(
% 0.21/0.48 inverse(sk_c3)=identity|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f648,f78])).
% 0.21/0.48 fof(f662,plain,(
% 0.21/0.48 inverse(identity)=identity|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f658,f660])).
% 0.21/0.48 fof(f755,plain,(
% 0.21/0.48 ![X0]: (~multiply(X0,identity)=sk_c5|~inverse(X0)=sk_c7|~spl0_16|~spl0_2|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_12)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f648,f137])).
% 0.21/0.48 fof(f756,plain,(
% 0.21/0.48 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c7|~spl0_16|~spl0_2|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_12)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f653,f755])).
% 0.21/0.48 fof(f757,plain,(
% 0.21/0.48 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_16|~spl0_2|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_12)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f648,f756])).
% 0.21/0.48 fof(f758,plain,(
% 0.21/0.48 ~multiply(identity,identity)=identity|~spl0_12|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(resolution,[status(thm)],[f757,f662])).
% 0.21/0.48 fof(f759,plain,(
% 0.21/0.48 ~identity=identity|~spl0_12|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f35,f758])).
% 0.21/0.48 fof(f760,plain,(
% 0.21/0.48 $false|~spl0_12|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(trivial_equality_resolution,[status(esa)],[f759])).
% 0.21/0.48 fof(f761,plain,(
% 0.21/0.48 ~spl0_12|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f760])).
% 0.21/0.48 fof(f775,plain,(
% 0.21/0.48 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c7|~spl0_16|~spl0_2|~spl0_1|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_11)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f648,f622])).
% 0.21/0.48 fof(f776,plain,(
% 0.21/0.48 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c7|~spl0_16|~spl0_2|~spl0_1|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_11)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f648,f775])).
% 0.21/0.48 fof(f777,plain,(
% 0.21/0.48 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_16|~spl0_2|~spl0_1|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_11)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f648,f776])).
% 0.21/0.48 fof(f781,plain,(
% 0.21/0.48 ~multiply(identity,identity)=identity|~spl0_1|~spl0_11|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(resolution,[status(thm)],[f777,f662])).
% 0.21/0.48 fof(f782,plain,(
% 0.21/0.48 ~identity=identity|~spl0_1|~spl0_11|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f35,f781])).
% 0.21/0.48 fof(f783,plain,(
% 0.21/0.48 $false|~spl0_1|~spl0_11|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(trivial_equality_resolution,[status(esa)],[f782])).
% 0.21/0.48 fof(f784,plain,(
% 0.21/0.48 ~spl0_1|~spl0_11|~spl0_16|~spl0_0|~spl0_3|~spl0_4|~spl0_5|~spl0_2),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f783])).
% 0.21/0.48 fof(f807,plain,(
% 0.21/0.48 sk_c5=multiply(inverse(sk_c3),sk_c6)|~spl0_2|~spl0_3|~spl0_1),
% 0.21/0.48 inference(paramodulation,[status(thm)],[f589,f234])).
% 0.21/0.48 fof(f808,plain,(
% 0.21/0.48 sk_c5=multiply(sk_c7,sk_c6)|~spl0_2|~spl0_3|~spl0_1),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f78,f807])).
% 0.21/0.48 fof(f809,plain,(
% 0.21/0.48 $false|spl0_0|~spl0_2|~spl0_3|~spl0_1),
% 0.21/0.48 inference(forward_subsumption_resolution,[status(thm)],[f808,f72])).
% 0.21/0.48 fof(f810,plain,(
% 0.21/0.48 spl0_0|~spl0_2|~spl0_3|~spl0_1),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f809])).
% 0.21/0.48 fof(f811,plain,(
% 0.21/0.48 $false),
% 0.21/0.48 inference(sat_refutation,[status(thm)],[f76,f80,f84,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f113,f114,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f145,f149,f153,f157,f161,f169,f256,f313,f323,f499,f540,f615,f644,f761,f784,f810])).
% 0.21/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.49 % Elapsed time: 0.141899 seconds
% 0.21/0.49 % CPU time: 0.987541 seconds
% 0.21/0.49 % Total memory used: 76.441 MB
% 0.21/0.49 % Net memory used: 75.733 MB
%------------------------------------------------------------------------------