TSTP Solution File: GRP287-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP287-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:19:58 EDT 2024
% Result : Unsatisfiable 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : GRP287-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.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 00:38:46 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.44 % Refutation found
% 0.20/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.44 fof(f1,axiom,(
% 0.20/0.44 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f2,axiom,(
% 0.20/0.44 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f3,axiom,(
% 0.20/0.44 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f4,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f5,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f6,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f7,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f8,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f9,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f10,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f11,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f12,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f13,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f14,negated_conjecture,(
% 0.20/0.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f15,negated_conjecture,(
% 0.20/0.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f16,negated_conjecture,(
% 0.20/0.44 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f17,negated_conjecture,(
% 0.20/0.44 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f18,negated_conjecture,(
% 0.20/0.44 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f20,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f21,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f22,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f23,negated_conjecture,(
% 0.20/0.44 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f25,negated_conjecture,(
% 0.20/0.44 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f26,negated_conjecture,(
% 0.20/0.44 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f27,negated_conjecture,(
% 0.20/0.44 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f28,negated_conjecture,(
% 0.20/0.44 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f29,negated_conjecture,(
% 0.20/0.44 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c5| inverse(X4) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| multiply(X1,sk_c6) != sk_c7| inverse(X1) != sk_c6| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.20/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.44 fof(f30,plain,(
% 0.20/0.44 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.44 fof(f31,plain,(
% 0.20/0.44 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.44 fof(f32,plain,(
% 0.20/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.44 fof(f33,plain,(
% 0.20/0.44 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.44 fof(f34,plain,(
% 0.20/0.44 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.44 fof(f35,plain,(
% 0.20/0.44 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.44 fof(f36,plain,(
% 0.20/0.44 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.44 fof(f37,plain,(
% 0.20/0.44 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.44 fof(f38,plain,(
% 0.20/0.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.44 fof(f39,plain,(
% 0.20/0.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.44 fof(f40,plain,(
% 0.20/0.44 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.44 fof(f41,plain,(
% 0.20/0.44 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.44 fof(f42,plain,(
% 0.20/0.44 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.44 fof(f43,plain,(
% 0.20/0.44 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.44 fof(f44,plain,(
% 0.20/0.44 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.44 fof(f45,plain,(
% 0.20/0.44 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.44 fof(f46,plain,(
% 0.20/0.44 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.44 fof(f47,plain,(
% 0.20/0.44 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.44 fof(f49,plain,(
% 0.20/0.44 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.44 fof(f50,plain,(
% 0.20/0.44 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.44 fof(f51,plain,(
% 0.20/0.44 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.44 fof(f52,plain,(
% 0.20/0.44 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.44 fof(f54,plain,(
% 0.20/0.44 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.44 fof(f55,plain,(
% 0.20/0.44 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.44 fof(f56,plain,(
% 0.20/0.44 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.44 fof(f57,plain,(
% 0.20/0.44 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.44 fof(f58,plain,(
% 0.20/0.44 ![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c5)|~inverse(X4)=sk_c6))|~multiply(sk_c6,sk_c7)=sk_c5)|~multiply(X1,sk_c6)=sk_c7)|~inverse(X1)=sk_c6))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.20/0.44 inference(miniscoping,[status(esa)],[f29])).
% 0.20/0.44 fof(f59,plain,(
% 0.20/0.44 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.20/0.44 inference(cnf_transformation,[status(esa)],[f58])).
% 0.20/0.44 fof(f60,plain,(
% 0.20/0.44 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c5),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f61,plain,(
% 0.20/0.44 multiply(sk_c7,sk_c6)=sk_c5|~spl0_0),
% 0.20/0.44 inference(component_clause,[status(thm)],[f60])).
% 0.20/0.44 fof(f62,plain,(
% 0.20/0.44 ~multiply(sk_c7,sk_c6)=sk_c5|spl0_0),
% 0.20/0.44 inference(component_clause,[status(thm)],[f60])).
% 0.20/0.44 fof(f63,plain,(
% 0.20/0.44 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f64,plain,(
% 0.20/0.44 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.20/0.44 inference(component_clause,[status(thm)],[f63])).
% 0.20/0.44 fof(f65,plain,(
% 0.20/0.44 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.20/0.44 inference(component_clause,[status(thm)],[f63])).
% 0.20/0.44 fof(f66,plain,(
% 0.20/0.44 spl0_0|spl0_1),
% 0.20/0.44 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.20/0.44 fof(f67,plain,(
% 0.20/0.44 spl0_2 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f68,plain,(
% 0.20/0.44 multiply(sk_c3,sk_c6)=sk_c7|~spl0_2),
% 0.20/0.44 inference(component_clause,[status(thm)],[f67])).
% 0.20/0.44 fof(f70,plain,(
% 0.20/0.44 spl0_0|spl0_2),
% 0.20/0.44 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.20/0.44 fof(f71,plain,(
% 0.20/0.44 spl0_3 <=> inverse(sk_c3)=sk_c6),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f72,plain,(
% 0.20/0.44 inverse(sk_c3)=sk_c6|~spl0_3),
% 0.20/0.44 inference(component_clause,[status(thm)],[f71])).
% 0.20/0.44 fof(f74,plain,(
% 0.20/0.44 spl0_0|spl0_3),
% 0.20/0.44 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.20/0.44 fof(f75,plain,(
% 0.20/0.44 spl0_4 <=> inverse(sk_c4)=sk_c6),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f76,plain,(
% 0.20/0.44 inverse(sk_c4)=sk_c6|~spl0_4),
% 0.20/0.44 inference(component_clause,[status(thm)],[f75])).
% 0.20/0.44 fof(f78,plain,(
% 0.20/0.44 spl0_0|spl0_4),
% 0.20/0.44 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.20/0.44 fof(f79,plain,(
% 0.20/0.44 spl0_5 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f80,plain,(
% 0.20/0.44 multiply(sk_c4,sk_c5)=sk_c6|~spl0_5),
% 0.20/0.44 inference(component_clause,[status(thm)],[f79])).
% 0.20/0.44 fof(f82,plain,(
% 0.20/0.44 spl0_0|spl0_5),
% 0.20/0.44 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.20/0.44 fof(f83,plain,(
% 0.20/0.44 spl0_6 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f84,plain,(
% 0.20/0.44 multiply(sk_c1,sk_c7)=sk_c6|~spl0_6),
% 0.20/0.44 inference(component_clause,[status(thm)],[f83])).
% 0.20/0.44 fof(f86,plain,(
% 0.20/0.44 spl0_6|spl0_1),
% 0.20/0.44 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.20/0.44 fof(f87,plain,(
% 0.20/0.44 spl0_6|spl0_2),
% 0.20/0.44 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.20/0.44 fof(f88,plain,(
% 0.20/0.44 spl0_6|spl0_3),
% 0.20/0.44 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.20/0.44 fof(f89,plain,(
% 0.20/0.44 spl0_6|spl0_4),
% 0.20/0.44 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.20/0.44 fof(f90,plain,(
% 0.20/0.44 spl0_6|spl0_5),
% 0.20/0.44 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.20/0.44 fof(f91,plain,(
% 0.20/0.44 spl0_7 <=> inverse(sk_c1)=sk_c7),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f92,plain,(
% 0.20/0.44 inverse(sk_c1)=sk_c7|~spl0_7),
% 0.20/0.44 inference(component_clause,[status(thm)],[f91])).
% 0.20/0.44 fof(f94,plain,(
% 0.20/0.44 spl0_7|spl0_1),
% 0.20/0.44 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.20/0.44 fof(f95,plain,(
% 0.20/0.44 spl0_7|spl0_2),
% 0.20/0.44 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.20/0.44 fof(f96,plain,(
% 0.20/0.44 spl0_7|spl0_3),
% 0.20/0.44 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.20/0.44 fof(f97,plain,(
% 0.20/0.44 spl0_7|spl0_4),
% 0.20/0.44 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.20/0.44 fof(f98,plain,(
% 0.20/0.44 spl0_7|spl0_5),
% 0.20/0.44 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.20/0.44 fof(f99,plain,(
% 0.20/0.44 spl0_8 <=> multiply(sk_c2,sk_c6)=sk_c5),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f100,plain,(
% 0.20/0.44 multiply(sk_c2,sk_c6)=sk_c5|~spl0_8),
% 0.20/0.44 inference(component_clause,[status(thm)],[f99])).
% 0.20/0.44 fof(f103,plain,(
% 0.20/0.44 spl0_8|spl0_2),
% 0.20/0.44 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.20/0.44 fof(f104,plain,(
% 0.20/0.44 spl0_8|spl0_3),
% 0.20/0.44 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.20/0.44 fof(f105,plain,(
% 0.20/0.44 spl0_8|spl0_4),
% 0.20/0.44 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.20/0.44 fof(f106,plain,(
% 0.20/0.44 spl0_8|spl0_5),
% 0.20/0.44 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.20/0.44 fof(f107,plain,(
% 0.20/0.44 spl0_9 <=> inverse(sk_c2)=sk_c6),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f108,plain,(
% 0.20/0.44 inverse(sk_c2)=sk_c6|~spl0_9),
% 0.20/0.44 inference(component_clause,[status(thm)],[f107])).
% 0.20/0.44 fof(f111,plain,(
% 0.20/0.44 spl0_9|spl0_2),
% 0.20/0.44 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.20/0.44 fof(f112,plain,(
% 0.20/0.44 spl0_9|spl0_3),
% 0.20/0.44 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.20/0.44 fof(f113,plain,(
% 0.20/0.44 spl0_9|spl0_4),
% 0.20/0.44 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.20/0.44 fof(f114,plain,(
% 0.20/0.44 spl0_9|spl0_5),
% 0.20/0.44 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.20/0.44 fof(f115,plain,(
% 0.20/0.44 spl0_10 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f116,plain,(
% 0.20/0.44 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_10)),
% 0.20/0.44 inference(component_clause,[status(thm)],[f115])).
% 0.20/0.44 fof(f118,plain,(
% 0.20/0.44 spl0_11 <=> ~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f119,plain,(
% 0.20/0.44 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~spl0_11)),
% 0.20/0.44 inference(component_clause,[status(thm)],[f118])).
% 0.20/0.44 fof(f121,plain,(
% 0.20/0.44 spl0_12 <=> ~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f122,plain,(
% 0.20/0.44 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_12)),
% 0.20/0.44 inference(component_clause,[status(thm)],[f121])).
% 0.20/0.44 fof(f124,plain,(
% 0.20/0.44 spl0_13 <=> ~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f125,plain,(
% 0.20/0.44 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_13)),
% 0.20/0.44 inference(component_clause,[status(thm)],[f124])).
% 0.20/0.44 fof(f127,plain,(
% 0.20/0.44 ~spl0_0|spl0_10|spl0_11|~spl0_1|spl0_12|spl0_13),
% 0.20/0.44 inference(split_clause,[status(thm)],[f59,f60,f115,f118,f63,f121,f124])).
% 0.20/0.44 fof(f129,plain,(
% 0.20/0.44 ~multiply(sk_c4,sk_c5)=sk_c6|~spl0_13|~spl0_4),
% 0.20/0.44 inference(resolution,[status(thm)],[f125,f76])).
% 0.20/0.44 fof(f130,plain,(
% 0.20/0.44 ~sk_c6=sk_c6|~spl0_5|~spl0_13|~spl0_4),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f80,f129])).
% 0.20/0.44 fof(f131,plain,(
% 0.20/0.44 $false|~spl0_5|~spl0_13|~spl0_4),
% 0.20/0.44 inference(trivial_equality_resolution,[status(esa)],[f130])).
% 0.20/0.44 fof(f132,plain,(
% 0.20/0.44 ~spl0_5|~spl0_13|~spl0_4),
% 0.20/0.44 inference(contradiction_clause,[status(thm)],[f131])).
% 0.20/0.44 fof(f133,plain,(
% 0.20/0.44 ~multiply(sk_c3,sk_c6)=sk_c7|~spl0_12|~spl0_3),
% 0.20/0.44 inference(resolution,[status(thm)],[f122,f72])).
% 0.20/0.44 fof(f134,plain,(
% 0.20/0.44 ~sk_c7=sk_c7|~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f68,f133])).
% 0.20/0.44 fof(f135,plain,(
% 0.20/0.44 $false|~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.44 inference(trivial_equality_resolution,[status(esa)],[f134])).
% 0.20/0.44 fof(f136,plain,(
% 0.20/0.44 ~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.44 inference(contradiction_clause,[status(thm)],[f135])).
% 0.20/0.44 fof(f138,plain,(
% 0.20/0.44 ~inverse(sk_c2)=sk_c6|~spl0_11|~spl0_8),
% 0.20/0.44 inference(resolution,[status(thm)],[f119,f100])).
% 0.20/0.44 fof(f139,plain,(
% 0.20/0.44 ~sk_c6=sk_c6|~spl0_9|~spl0_11|~spl0_8),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f108,f138])).
% 0.20/0.44 fof(f140,plain,(
% 0.20/0.44 $false|~spl0_9|~spl0_11|~spl0_8),
% 0.20/0.44 inference(trivial_equality_resolution,[status(esa)],[f139])).
% 0.20/0.44 fof(f141,plain,(
% 0.20/0.44 ~spl0_9|~spl0_11|~spl0_8),
% 0.20/0.44 inference(contradiction_clause,[status(thm)],[f140])).
% 0.20/0.44 fof(f142,plain,(
% 0.20/0.44 ~inverse(sk_c1)=sk_c7|~spl0_10|~spl0_6),
% 0.20/0.44 inference(resolution,[status(thm)],[f116,f84])).
% 0.20/0.44 fof(f143,plain,(
% 0.20/0.44 ~sk_c7=sk_c7|~spl0_7|~spl0_10|~spl0_6),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f92,f142])).
% 0.20/0.44 fof(f144,plain,(
% 0.20/0.44 $false|~spl0_7|~spl0_10|~spl0_6),
% 0.20/0.44 inference(trivial_equality_resolution,[status(esa)],[f143])).
% 0.20/0.44 fof(f145,plain,(
% 0.20/0.44 ~spl0_7|~spl0_10|~spl0_6),
% 0.20/0.44 inference(contradiction_clause,[status(thm)],[f144])).
% 0.20/0.44 fof(f146,plain,(
% 0.20/0.44 spl0_14 <=> sk_c5=sk_c6),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f148,plain,(
% 0.20/0.44 ~sk_c5=sk_c6|spl0_14),
% 0.20/0.44 inference(component_clause,[status(thm)],[f146])).
% 0.20/0.44 fof(f154,plain,(
% 0.20/0.44 spl0_16 <=> sk_c6=sk_c6),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f156,plain,(
% 0.20/0.44 ~sk_c6=sk_c6|spl0_16),
% 0.20/0.44 inference(component_clause,[status(thm)],[f154])).
% 0.20/0.44 fof(f159,plain,(
% 0.20/0.44 $false|spl0_16),
% 0.20/0.44 inference(trivial_equality_resolution,[status(esa)],[f156])).
% 0.20/0.44 fof(f160,plain,(
% 0.20/0.44 spl0_16),
% 0.20/0.44 inference(contradiction_clause,[status(thm)],[f159])).
% 0.20/0.44 fof(f164,plain,(
% 0.20/0.44 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~spl0_5)),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f80,f32])).
% 0.20/0.44 fof(f165,plain,(
% 0.20/0.44 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~spl0_2)),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f68,f32])).
% 0.20/0.44 fof(f166,plain,(
% 0.20/0.44 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_1)),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f64,f32])).
% 0.20/0.44 fof(f170,plain,(
% 0.20/0.44 multiply(sk_c7,sk_c7)=multiply(sk_c3,sk_c5)|~spl0_2|~spl0_1),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f64,f165])).
% 0.20/0.44 fof(f185,plain,(
% 0.20/0.44 multiply(sk_c6,sk_c3)=identity|~spl0_3),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f72,f31])).
% 0.20/0.44 fof(f186,plain,(
% 0.20/0.44 multiply(sk_c6,sk_c4)=identity|~spl0_4),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f76,f31])).
% 0.20/0.44 fof(f188,plain,(
% 0.20/0.44 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.20/0.44 fof(f189,plain,(
% 0.20/0.44 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f30,f188])).
% 0.20/0.44 fof(f190,plain,(
% 0.20/0.44 multiply(sk_c7,sk_c3)=multiply(sk_c3,identity)|~spl0_2|~spl0_3),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f185,f165])).
% 0.20/0.44 fof(f191,plain,(
% 0.20/0.44 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c3,X0))|~spl0_3)),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f185,f32])).
% 0.20/0.44 fof(f192,plain,(
% 0.20/0.44 ![X0]: (X0=multiply(sk_c6,multiply(sk_c3,X0))|~spl0_3)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f30,f191])).
% 0.20/0.44 fof(f194,plain,(
% 0.20/0.44 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_4)),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f186,f32])).
% 0.20/0.44 fof(f195,plain,(
% 0.20/0.44 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_4)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f30,f194])).
% 0.20/0.44 fof(f202,plain,(
% 0.20/0.44 identity=multiply(sk_c6,multiply(sk_c7,sk_c3))|~spl0_2|~spl0_3),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f190,f192])).
% 0.20/0.44 fof(f203,plain,(
% 0.20/0.44 identity=multiply(sk_c5,sk_c3)|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f166,f202])).
% 0.20/0.44 fof(f210,plain,(
% 0.20/0.44 sk_c6=multiply(sk_c6,sk_c7)|~spl0_3|~spl0_2),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f68,f192])).
% 0.20/0.44 fof(f211,plain,(
% 0.20/0.44 sk_c6=sk_c5|~spl0_1|~spl0_3|~spl0_2),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f64,f210])).
% 0.20/0.44 fof(f212,plain,(
% 0.20/0.44 $false|spl0_14|~spl0_1|~spl0_3|~spl0_2),
% 0.20/0.44 inference(forward_subsumption_resolution,[status(thm)],[f211,f148])).
% 0.20/0.44 fof(f213,plain,(
% 0.20/0.44 spl0_14|~spl0_1|~spl0_3|~spl0_2),
% 0.20/0.44 inference(contradiction_clause,[status(thm)],[f212])).
% 0.20/0.44 fof(f219,plain,(
% 0.20/0.44 multiply(sk_c6,sk_c3)=multiply(sk_c4,identity)|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f203,f164])).
% 0.20/0.44 fof(f220,plain,(
% 0.20/0.44 identity=multiply(sk_c4,identity)|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f185,f219])).
% 0.20/0.44 fof(f239,plain,(
% 0.20/0.44 ~multiply(sk_c7,sk_c6)=sk_c6|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.44 inference(backward_demodulation,[status(thm)],[f211,f62])).
% 0.20/0.44 fof(f242,plain,(
% 0.20/0.44 multiply(sk_c6,sk_c7)=sk_c6|~spl0_3|~spl0_2|~spl0_1),
% 0.20/0.44 inference(backward_demodulation,[status(thm)],[f211,f64])).
% 0.20/0.44 fof(f248,plain,(
% 0.20/0.44 ![X0]: (multiply(identity,X0)=multiply(sk_c4,multiply(identity,X0))|~spl0_5|~spl0_1|~spl0_2|~spl0_3)),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f220,f32])).
% 0.20/0.44 fof(f249,plain,(
% 0.20/0.44 ![X0]: (X0=multiply(sk_c4,multiply(identity,X0))|~spl0_5|~spl0_1|~spl0_2|~spl0_3)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f30,f248])).
% 0.20/0.44 fof(f250,plain,(
% 0.20/0.44 ![X0]: (X0=multiply(sk_c4,X0)|~spl0_5|~spl0_1|~spl0_2|~spl0_3)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f30,f249])).
% 0.20/0.44 fof(f252,plain,(
% 0.20/0.44 ![X0]: (X0=multiply(sk_c6,X0)|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_4)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f250,f195])).
% 0.20/0.44 fof(f253,plain,(
% 0.20/0.44 sk_c7=sk_c6|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1),
% 0.20/0.44 inference(backward_demodulation,[status(thm)],[f252,f242])).
% 0.20/0.44 fof(f257,plain,(
% 0.20/0.44 ![X0]: (X0=multiply(sk_c3,X0)|~spl0_5|~spl0_1|~spl0_2|~spl0_4|~spl0_3)),
% 0.20/0.44 inference(backward_demodulation,[status(thm)],[f252,f192])).
% 0.20/0.44 fof(f260,plain,(
% 0.20/0.44 multiply(sk_c7,sk_c3)=identity|~spl0_5|~spl0_1|~spl0_4|~spl0_2|~spl0_3),
% 0.20/0.44 inference(backward_demodulation,[status(thm)],[f257,f190])).
% 0.20/0.44 fof(f263,plain,(
% 0.20/0.44 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_5|~spl0_1|~spl0_4|~spl0_2|~spl0_3)),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f260,f32])).
% 0.20/0.44 fof(f264,plain,(
% 0.20/0.44 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_5|~spl0_1|~spl0_4|~spl0_2|~spl0_3)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f30,f263])).
% 0.20/0.44 fof(f265,plain,(
% 0.20/0.44 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_5|~spl0_1|~spl0_4|~spl0_2|~spl0_3)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f257,f264])).
% 0.20/0.44 fof(f267,plain,(
% 0.20/0.44 ~sk_c6=sk_c6|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.44 inference(backward_demodulation,[status(thm)],[f265,f239])).
% 0.20/0.44 fof(f268,plain,(
% 0.20/0.44 ~spl0_16|~spl0_5|~spl0_4|~spl0_1|~spl0_3|~spl0_2|spl0_0),
% 0.20/0.44 inference(split_clause,[status(thm)],[f267,f154,f79,f75,f63,f71,f67,f60])).
% 0.20/0.44 fof(f277,plain,(
% 0.20/0.44 inverse(sk_c3)=sk_c7|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3),
% 0.20/0.44 inference(backward_demodulation,[status(thm)],[f253,f72])).
% 0.20/0.44 fof(f280,plain,(
% 0.20/0.44 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_10)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f253,f116])).
% 0.20/0.44 fof(f281,plain,(
% 0.20/0.44 ~multiply(sk_c3,sk_c7)=sk_c7|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_10),
% 0.20/0.44 inference(resolution,[status(thm)],[f277,f280])).
% 0.20/0.44 fof(f282,plain,(
% 0.20/0.44 ~sk_c7=sk_c7|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_10),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f257,f281])).
% 0.20/0.44 fof(f283,plain,(
% 0.20/0.44 $false|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_10),
% 0.20/0.44 inference(trivial_equality_resolution,[status(esa)],[f282])).
% 0.20/0.44 fof(f284,plain,(
% 0.20/0.44 ~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_10),
% 0.20/0.44 inference(contradiction_clause,[status(thm)],[f283])).
% 0.20/0.44 fof(f287,plain,(
% 0.20/0.44 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c6|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_11)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f253,f119])).
% 0.20/0.44 fof(f288,plain,(
% 0.20/0.44 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_11)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f253,f287])).
% 0.20/0.45 fof(f289,plain,(
% 0.20/0.45 spl0_17 <=> sk_c5=sk_c5),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f291,plain,(
% 0.20/0.45 ~sk_c5=sk_c5|spl0_17),
% 0.20/0.45 inference(component_clause,[status(thm)],[f289])).
% 0.20/0.45 fof(f292,plain,(
% 0.20/0.45 spl0_18 <=> inverse(sk_c7)=sk_c6),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f295,plain,(
% 0.20/0.45 ~sk_c5=sk_c5|~inverse(sk_c7)=sk_c6|~spl0_11|~spl0_0),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f61,f119])).
% 0.20/0.45 fof(f296,plain,(
% 0.20/0.45 ~spl0_17|~spl0_18|~spl0_11|~spl0_0),
% 0.20/0.45 inference(split_clause,[status(thm)],[f295,f289,f292,f118,f60])).
% 0.20/0.45 fof(f298,plain,(
% 0.20/0.45 $false|spl0_17),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f291])).
% 0.20/0.45 fof(f299,plain,(
% 0.20/0.45 spl0_17),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f298])).
% 0.20/0.45 fof(f303,plain,(
% 0.20/0.45 spl0_20 <=> sk_c7=sk_c6),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f305,plain,(
% 0.20/0.45 ~sk_c7=sk_c6|spl0_20),
% 0.20/0.45 inference(component_clause,[status(thm)],[f303])).
% 0.20/0.45 fof(f309,plain,(
% 0.20/0.45 ~multiply(sk_c2,sk_c6)=sk_c7|~spl0_12|~spl0_9),
% 0.20/0.45 inference(resolution,[status(thm)],[f122,f108])).
% 0.20/0.45 fof(f335,plain,(
% 0.20/0.45 sk_c6=multiply(inverse(sk_c7),sk_c5)|~spl0_0),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f61,f189])).
% 0.20/0.45 fof(f336,plain,(
% 0.20/0.45 sk_c7=multiply(inverse(sk_c1),sk_c6)|~spl0_6),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f84,f189])).
% 0.20/0.45 fof(f337,plain,(
% 0.20/0.45 sk_c7=multiply(sk_c7,sk_c6)|~spl0_7|~spl0_6),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f92,f336])).
% 0.20/0.45 fof(f338,plain,(
% 0.20/0.45 sk_c7=sk_c5|~spl0_0|~spl0_7|~spl0_6),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f61,f337])).
% 0.20/0.45 fof(f339,plain,(
% 0.20/0.45 sk_c6=multiply(inverse(sk_c2),sk_c5)|~spl0_8),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f100,f189])).
% 0.20/0.45 fof(f340,plain,(
% 0.20/0.45 sk_c6=multiply(sk_c6,sk_c5)|~spl0_9|~spl0_8),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f108,f339])).
% 0.20/0.45 fof(f357,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(inverse(sk_c7),multiply(sk_c5,X0))|~spl0_0)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f335,f32])).
% 0.20/0.45 fof(f389,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(inverse(sk_c7),multiply(sk_c7,X0))|~spl0_7|~spl0_6|~spl0_0)),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f338,f357])).
% 0.20/0.45 fof(f390,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c6,X0)=X0|~spl0_7|~spl0_6|~spl0_0)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f189,f389])).
% 0.20/0.45 fof(f398,plain,(
% 0.20/0.45 sk_c6=multiply(sk_c6,sk_c7)|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_8),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f338,f340])).
% 0.20/0.45 fof(f400,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c6)=sk_c7|~spl0_7|~spl0_6|~spl0_0),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f338,f61])).
% 0.20/0.45 fof(f401,plain,(
% 0.20/0.45 multiply(sk_c2,sk_c6)=sk_c7|~spl0_0|~spl0_7|~spl0_6|~spl0_8),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f338,f100])).
% 0.20/0.45 fof(f408,plain,(
% 0.20/0.45 sk_c6=sk_c7|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_8),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f390,f398])).
% 0.20/0.45 fof(f409,plain,(
% 0.20/0.45 $false|spl0_20|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_8),
% 0.20/0.45 inference(forward_subsumption_resolution,[status(thm)],[f408,f305])).
% 0.20/0.45 fof(f410,plain,(
% 0.20/0.45 spl0_20|~spl0_0|~spl0_7|~spl0_6|~spl0_9|~spl0_8),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f409])).
% 0.20/0.45 fof(f420,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c6,X0))|~spl0_0|~spl0_7|~spl0_6|~spl0_8)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f401,f32])).
% 0.20/0.45 fof(f421,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,X0)|~spl0_0|~spl0_7|~spl0_6|~spl0_8)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f390,f420])).
% 0.20/0.45 fof(f426,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(inverse(sk_c2),multiply(sk_c7,X0))|~spl0_0|~spl0_7|~spl0_6|~spl0_8)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f421,f189])).
% 0.20/0.45 fof(f427,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_9|~spl0_0|~spl0_7|~spl0_6|~spl0_8)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f108,f426])).
% 0.20/0.45 fof(f428,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_9|~spl0_0|~spl0_7|~spl0_6|~spl0_8)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f390,f427])).
% 0.20/0.45 fof(f431,plain,(
% 0.20/0.45 sk_c6=sk_c7|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_0),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f428,f400])).
% 0.20/0.45 fof(f433,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c2,X0)|~spl0_9|~spl0_0|~spl0_7|~spl0_6|~spl0_8)),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f428,f421])).
% 0.20/0.45 fof(f460,plain,(
% 0.20/0.45 ~sk_c7=sk_c5|~spl0_7|~spl0_6|~spl0_0|spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f390,f65])).
% 0.20/0.45 fof(f461,plain,(
% 0.20/0.45 ~sk_c7=sk_c7|~spl0_7|~spl0_6|~spl0_0|spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f338,f460])).
% 0.20/0.45 fof(f462,plain,(
% 0.20/0.45 $false|~spl0_7|~spl0_6|~spl0_0|spl0_1),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f461])).
% 0.20/0.45 fof(f463,plain,(
% 0.20/0.45 ~spl0_7|~spl0_6|~spl0_0|spl0_1),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f462])).
% 0.20/0.45 fof(f464,plain,(
% 0.20/0.45 ~sk_c6=sk_c7|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_12|~spl0_9),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f433,f309])).
% 0.20/0.45 fof(f507,plain,(
% 0.20/0.45 ~multiply(sk_c2,sk_c5)=sk_c6|~spl0_13|~spl0_9),
% 0.20/0.45 inference(resolution,[status(thm)],[f125,f108])).
% 0.20/0.45 fof(f508,plain,(
% 0.20/0.45 ~sk_c5=sk_c6|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_13|~spl0_9),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f433,f507])).
% 0.20/0.45 fof(f509,plain,(
% 0.20/0.45 ~sk_c7=sk_c6|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_13|~spl0_9),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f338,f508])).
% 0.20/0.45 fof(f510,plain,(
% 0.20/0.45 ~sk_c7=sk_c7|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_13|~spl0_9),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f431,f509])).
% 0.20/0.45 fof(f511,plain,(
% 0.20/0.45 $false|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_13|~spl0_9),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f510])).
% 0.20/0.45 fof(f512,plain,(
% 0.20/0.45 ~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_13|~spl0_9),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f511])).
% 0.20/0.45 fof(f521,plain,(
% 0.20/0.45 spl0_27 <=> identity=sk_c5),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f523,plain,(
% 0.20/0.45 ~identity=sk_c5|spl0_27),
% 0.20/0.45 inference(component_clause,[status(thm)],[f521])).
% 0.20/0.45 fof(f524,plain,(
% 0.20/0.45 spl0_28 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f526,plain,(
% 0.20/0.45 ~inverse(inverse(sk_c7))=sk_c7|spl0_28),
% 0.20/0.45 inference(component_clause,[status(thm)],[f524])).
% 0.20/0.45 fof(f527,plain,(
% 0.20/0.45 ~identity=sk_c5|~inverse(inverse(sk_c7))=sk_c7|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_11),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f31,f288])).
% 0.20/0.45 fof(f528,plain,(
% 0.20/0.45 ~spl0_27|~spl0_28|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_11),
% 0.20/0.45 inference(split_clause,[status(thm)],[f527,f521,f524,f79,f75,f71,f67,f63,f118])).
% 0.20/0.45 fof(f535,plain,(
% 0.20/0.45 ~spl0_20|~spl0_0|~spl0_7|~spl0_6|~spl0_8|~spl0_12|~spl0_9),
% 0.20/0.45 inference(split_clause,[status(thm)],[f464,f303,f60,f91,f83,f99,f121,f107])).
% 0.20/0.45 fof(f558,plain,(
% 0.20/0.45 sk_c7=sk_c6|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f277,f72])).
% 0.20/0.45 fof(f571,plain,(
% 0.20/0.45 sk_c5=sk_c6|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f250,f80])).
% 0.20/0.45 fof(f572,plain,(
% 0.20/0.45 sk_c5=sk_c7|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f558,f571])).
% 0.20/0.45 fof(f575,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c3)=identity|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f558,f185])).
% 0.20/0.45 fof(f576,plain,(
% 0.20/0.45 sk_c3=identity|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f265,f575])).
% 0.20/0.45 fof(f577,plain,(
% 0.20/0.45 inverse(identity)=sk_c7|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f576,f277])).
% 0.20/0.45 fof(f589,plain,(
% 0.20/0.45 sk_c7=multiply(inverse(sk_c7),sk_c5)|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f558,f335])).
% 0.20/0.45 fof(f590,plain,(
% 0.20/0.45 sk_c7=multiply(inverse(sk_c7),sk_c7)|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f572,f589])).
% 0.20/0.45 fof(f591,plain,(
% 0.20/0.45 sk_c7=identity|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f31,f590])).
% 0.20/0.45 fof(f592,plain,(
% 0.20/0.45 inverse(identity)=identity|~spl0_0|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f591,f577])).
% 0.20/0.45 fof(f626,plain,(
% 0.20/0.45 multiply(identity,sk_c7)=multiply(sk_c3,sk_c5)|~spl0_5|~spl0_4|~spl0_3|~spl0_0|~spl0_2|~spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f591,f170])).
% 0.20/0.45 fof(f627,plain,(
% 0.20/0.45 sk_c7=multiply(sk_c3,sk_c5)|~spl0_5|~spl0_4|~spl0_3|~spl0_0|~spl0_2|~spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f626])).
% 0.20/0.45 fof(f628,plain,(
% 0.20/0.45 identity=multiply(sk_c3,sk_c5)|~spl0_5|~spl0_4|~spl0_3|~spl0_0|~spl0_2|~spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f591,f627])).
% 0.20/0.45 fof(f629,plain,(
% 0.20/0.45 identity=multiply(identity,sk_c5)|~spl0_5|~spl0_4|~spl0_3|~spl0_0|~spl0_2|~spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f576,f628])).
% 0.20/0.45 fof(f630,plain,(
% 0.20/0.45 identity=sk_c5|~spl0_5|~spl0_4|~spl0_3|~spl0_0|~spl0_2|~spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f629])).
% 0.20/0.45 fof(f672,plain,(
% 0.20/0.45 ~identity=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_0|~spl0_2|~spl0_1|spl0_27),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f630,f523])).
% 0.20/0.45 fof(f673,plain,(
% 0.20/0.45 $false|~spl0_5|~spl0_4|~spl0_3|~spl0_0|~spl0_2|~spl0_1|spl0_27),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f672])).
% 0.20/0.45 fof(f674,plain,(
% 0.20/0.45 ~spl0_5|~spl0_4|~spl0_3|~spl0_0|~spl0_2|~spl0_1|spl0_27),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f673])).
% 0.20/0.45 fof(f675,plain,(
% 0.20/0.45 ~inverse(inverse(identity))=sk_c7|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0|spl0_28),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f591,f526])).
% 0.20/0.45 fof(f676,plain,(
% 0.20/0.45 ~inverse(inverse(identity))=identity|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0|spl0_28),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f591,f675])).
% 0.20/0.45 fof(f690,plain,(
% 0.20/0.45 ~inverse(identity)=identity|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0|spl0_28),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f592,f676])).
% 0.20/0.45 fof(f691,plain,(
% 0.20/0.45 ~identity=identity|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0|spl0_28),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f592,f690])).
% 0.20/0.45 fof(f692,plain,(
% 0.20/0.45 $false|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0|spl0_28),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f691])).
% 0.20/0.45 fof(f693,plain,(
% 0.20/0.45 ~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3|~spl0_0|spl0_28),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f692])).
% 0.20/0.45 fof(f694,plain,(
% 0.20/0.45 $false),
% 0.20/0.45 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f103,f104,f105,f106,f111,f112,f113,f114,f127,f132,f136,f141,f145,f160,f213,f268,f284,f296,f299,f410,f463,f512,f528,f535,f674,f693])).
% 0.20/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.45 % Elapsed time: 0.093609 seconds
% 0.20/0.45 % CPU time: 0.619645 seconds
% 0.20/0.45 % Total memory used: 68.870 MB
% 0.20/0.45 % Net memory used: 68.389 MB
%------------------------------------------------------------------------------