TSTP Solution File: GRP299-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP299-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:20:01 EDT 2024
% Result : Unsatisfiable 0.22s 0.50s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP299-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:10:19 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.37 % Drodi V3.6.0
% 0.22/0.50 % Refutation found
% 0.22/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.50 fof(f1,axiom,(
% 0.22/0.50 (![X]: (multiply(identity,X) = X ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f2,axiom,(
% 0.22/0.50 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f3,axiom,(
% 0.22/0.50 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f4,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f5,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c2) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f6,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f7,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f8,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c4 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f9,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f10,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f11,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c2) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f12,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f13,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f14,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f15,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f16,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f17,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| inverse(sk_c2) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f18,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f19,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f20,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f21,negated_conjecture,(
% 0.22/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f23,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c5,sk_c7) = sk_c6| inverse(sk_c2) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f24,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c2,sk_c6) = sk_c7 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f25,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c3,sk_c4) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f26,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c5,sk_c7) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f27,negated_conjecture,(
% 0.22/0.50 ( multiply(sk_c5,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f28,negated_conjecture,(
% 0.22/0.50 (![X2,X1,X3,X4]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X2,sk_c7) != sk_c6| inverse(X2) != sk_c7| multiply(sk_c5,sk_c7) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(X3,X4) != sk_c6| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c6 ) ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f29,plain,(
% 0.22/0.50 ![X0]: (multiply(identity,X0)=X0)),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f1])).
% 0.22/0.50 fof(f30,plain,(
% 0.22/0.50 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f2])).
% 0.22/0.50 fof(f31,plain,(
% 0.22/0.50 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f3])).
% 0.22/0.50 fof(f32,plain,(
% 0.22/0.50 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f4])).
% 0.22/0.50 fof(f33,plain,(
% 0.22/0.50 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c2)=sk_c7),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f5])).
% 0.22/0.50 fof(f34,plain,(
% 0.22/0.50 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c2,sk_c6)=sk_c7),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f6])).
% 0.22/0.50 fof(f35,plain,(
% 0.22/0.50 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c4)=sk_c6),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f7])).
% 0.22/0.50 fof(f36,plain,(
% 0.22/0.50 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c4),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f8])).
% 0.22/0.50 fof(f37,plain,(
% 0.22/0.50 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c7)=sk_c6),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f9])).
% 0.22/0.50 fof(f38,plain,(
% 0.22/0.50 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f10])).
% 0.22/0.50 fof(f39,plain,(
% 0.22/0.50 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c2)=sk_c7),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f11])).
% 0.22/0.50 fof(f40,plain,(
% 0.22/0.50 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c2,sk_c6)=sk_c7),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f12])).
% 0.22/0.50 fof(f41,plain,(
% 0.22/0.50 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c4)=sk_c6),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f13])).
% 0.22/0.50 fof(f42,plain,(
% 0.22/0.50 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f14])).
% 0.22/0.50 fof(f43,plain,(
% 0.22/0.50 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f15])).
% 0.22/0.50 fof(f44,plain,(
% 0.22/0.50 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f16])).
% 0.22/0.50 fof(f45,plain,(
% 0.22/0.50 inverse(sk_c1)=sk_c7|inverse(sk_c2)=sk_c7),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f17])).
% 0.22/0.50 fof(f46,plain,(
% 0.22/0.50 inverse(sk_c1)=sk_c7|multiply(sk_c2,sk_c6)=sk_c7),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f18])).
% 0.22/0.50 fof(f47,plain,(
% 0.22/0.50 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c4)=sk_c6),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f19])).
% 0.22/0.50 fof(f48,plain,(
% 0.22/0.50 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f20])).
% 0.22/0.50 fof(f49,plain,(
% 0.22/0.50 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f21])).
% 0.22/0.50 fof(f51,plain,(
% 0.22/0.50 multiply(sk_c5,sk_c7)=sk_c6|inverse(sk_c2)=sk_c7),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f23])).
% 0.22/0.50 fof(f52,plain,(
% 0.22/0.50 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c2,sk_c6)=sk_c7),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f24])).
% 0.22/0.50 fof(f53,plain,(
% 0.22/0.50 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c3,sk_c4)=sk_c6),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f25])).
% 0.22/0.50 fof(f54,plain,(
% 0.22/0.50 multiply(sk_c5,sk_c7)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f26])).
% 0.22/0.50 fof(f55,plain,(
% 0.22/0.50 multiply(sk_c5,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f27])).
% 0.22/0.50 fof(f56,plain,(
% 0.22/0.50 ![X4]: ((![X3]: (((![X1]: (((((![X2]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X2,sk_c7)=sk_c6)|~inverse(X2)=sk_c7))|~multiply(sk_c5,sk_c7)=sk_c6)|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(X3,X4)=sk_c6)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c6)),
% 0.22/0.50 inference(miniscoping,[status(esa)],[f28])).
% 0.22/0.50 fof(f57,plain,(
% 0.22/0.50 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c5,sk_c7)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c6)),
% 0.22/0.50 inference(cnf_transformation,[status(esa)],[f56])).
% 0.22/0.50 fof(f58,plain,(
% 0.22/0.50 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c5),
% 0.22/0.50 introduced(split_symbol_definition)).
% 0.22/0.50 fof(f59,plain,(
% 0.22/0.50 multiply(sk_c7,sk_c6)=sk_c5|~spl0_0),
% 0.22/0.50 inference(component_clause,[status(thm)],[f58])).
% 0.22/0.50 fof(f60,plain,(
% 0.22/0.50 ~multiply(sk_c7,sk_c6)=sk_c5|spl0_0),
% 0.22/0.50 inference(component_clause,[status(thm)],[f58])).
% 0.22/0.50 fof(f61,plain,(
% 0.22/0.50 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.50 introduced(split_symbol_definition)).
% 0.22/0.50 fof(f62,plain,(
% 0.22/0.50 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.22/0.50 inference(component_clause,[status(thm)],[f61])).
% 0.22/0.50 fof(f63,plain,(
% 0.22/0.50 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.22/0.50 inference(component_clause,[status(thm)],[f61])).
% 0.22/0.50 fof(f64,plain,(
% 0.22/0.50 spl0_0|spl0_1),
% 0.22/0.50 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.22/0.50 fof(f65,plain,(
% 0.22/0.50 spl0_2 <=> inverse(sk_c2)=sk_c7),
% 0.22/0.50 introduced(split_symbol_definition)).
% 0.22/0.50 fof(f66,plain,(
% 0.22/0.50 inverse(sk_c2)=sk_c7|~spl0_2),
% 0.22/0.50 inference(component_clause,[status(thm)],[f65])).
% 0.22/0.50 fof(f68,plain,(
% 0.22/0.50 spl0_0|spl0_2),
% 0.22/0.50 inference(split_clause,[status(thm)],[f33,f58,f65])).
% 0.22/0.50 fof(f69,plain,(
% 0.22/0.50 spl0_3 <=> multiply(sk_c2,sk_c6)=sk_c7),
% 0.22/0.50 introduced(split_symbol_definition)).
% 0.22/0.50 fof(f70,plain,(
% 0.22/0.50 multiply(sk_c2,sk_c6)=sk_c7|~spl0_3),
% 0.22/0.50 inference(component_clause,[status(thm)],[f69])).
% 0.22/0.50 fof(f72,plain,(
% 0.22/0.50 spl0_0|spl0_3),
% 0.22/0.50 inference(split_clause,[status(thm)],[f34,f58,f69])).
% 0.22/0.50 fof(f73,plain,(
% 0.22/0.50 spl0_4 <=> multiply(sk_c3,sk_c4)=sk_c6),
% 0.22/0.50 introduced(split_symbol_definition)).
% 0.22/0.50 fof(f74,plain,(
% 0.22/0.50 multiply(sk_c3,sk_c4)=sk_c6|~spl0_4),
% 0.22/0.50 inference(component_clause,[status(thm)],[f73])).
% 0.22/0.50 fof(f76,plain,(
% 0.22/0.50 spl0_0|spl0_4),
% 0.22/0.50 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.22/0.50 fof(f77,plain,(
% 0.22/0.50 spl0_5 <=> inverse(sk_c3)=sk_c4),
% 0.22/0.50 introduced(split_symbol_definition)).
% 0.22/0.50 fof(f78,plain,(
% 0.22/0.50 inverse(sk_c3)=sk_c4|~spl0_5),
% 0.22/0.50 inference(component_clause,[status(thm)],[f77])).
% 0.22/0.50 fof(f80,plain,(
% 0.22/0.50 spl0_0|spl0_5),
% 0.22/0.50 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.22/0.50 fof(f81,plain,(
% 0.22/0.50 spl0_6 <=> multiply(sk_c4,sk_c7)=sk_c6),
% 0.22/0.50 introduced(split_symbol_definition)).
% 0.22/0.50 fof(f82,plain,(
% 0.22/0.50 multiply(sk_c4,sk_c7)=sk_c6|~spl0_6),
% 0.22/0.50 inference(component_clause,[status(thm)],[f81])).
% 0.22/0.50 fof(f84,plain,(
% 0.22/0.50 spl0_0|spl0_6),
% 0.22/0.50 inference(split_clause,[status(thm)],[f37,f58,f81])).
% 0.22/0.50 fof(f85,plain,(
% 0.22/0.50 spl0_7 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.22/0.50 introduced(split_symbol_definition)).
% 0.22/0.50 fof(f86,plain,(
% 0.22/0.50 multiply(sk_c1,sk_c7)=sk_c6|~spl0_7),
% 0.22/0.50 inference(component_clause,[status(thm)],[f85])).
% 0.22/0.50 fof(f88,plain,(
% 0.22/0.50 spl0_7|spl0_1),
% 0.22/0.50 inference(split_clause,[status(thm)],[f38,f85,f61])).
% 0.22/0.50 fof(f89,plain,(
% 0.22/0.50 spl0_7|spl0_2),
% 0.22/0.50 inference(split_clause,[status(thm)],[f39,f85,f65])).
% 0.22/0.50 fof(f90,plain,(
% 0.22/0.50 spl0_7|spl0_3),
% 0.22/0.50 inference(split_clause,[status(thm)],[f40,f85,f69])).
% 0.22/0.50 fof(f91,plain,(
% 0.22/0.50 spl0_7|spl0_4),
% 0.22/0.50 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.22/0.50 fof(f92,plain,(
% 0.22/0.50 spl0_7|spl0_5),
% 0.22/0.50 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.22/0.50 fof(f93,plain,(
% 0.22/0.50 spl0_7|spl0_6),
% 0.22/0.50 inference(split_clause,[status(thm)],[f43,f85,f81])).
% 0.22/0.50 fof(f94,plain,(
% 0.22/0.50 spl0_8 <=> inverse(sk_c1)=sk_c7),
% 0.22/0.50 introduced(split_symbol_definition)).
% 0.22/0.50 fof(f95,plain,(
% 0.22/0.50 inverse(sk_c1)=sk_c7|~spl0_8),
% 0.22/0.50 inference(component_clause,[status(thm)],[f94])).
% 0.22/0.50 fof(f97,plain,(
% 0.22/0.50 spl0_8|spl0_1),
% 0.22/0.50 inference(split_clause,[status(thm)],[f44,f94,f61])).
% 0.22/0.50 fof(f98,plain,(
% 0.22/0.50 spl0_8|spl0_2),
% 0.22/0.50 inference(split_clause,[status(thm)],[f45,f94,f65])).
% 0.22/0.50 fof(f99,plain,(
% 0.22/0.50 spl0_8|spl0_3),
% 0.22/0.50 inference(split_clause,[status(thm)],[f46,f94,f69])).
% 0.22/0.50 fof(f100,plain,(
% 0.22/0.50 spl0_8|spl0_4),
% 0.22/0.50 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.22/0.50 fof(f101,plain,(
% 0.22/0.50 spl0_8|spl0_5),
% 0.22/0.50 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.22/0.50 fof(f102,plain,(
% 0.22/0.50 spl0_8|spl0_6),
% 0.22/0.50 inference(split_clause,[status(thm)],[f49,f94,f81])).
% 0.22/0.50 fof(f103,plain,(
% 0.22/0.50 spl0_9 <=> multiply(sk_c5,sk_c7)=sk_c6),
% 0.22/0.50 introduced(split_symbol_definition)).
% 0.22/0.50 fof(f104,plain,(
% 0.22/0.50 multiply(sk_c5,sk_c7)=sk_c6|~spl0_9),
% 0.22/0.51 inference(component_clause,[status(thm)],[f103])).
% 0.22/0.51 fof(f105,plain,(
% 0.22/0.51 ~multiply(sk_c5,sk_c7)=sk_c6|spl0_9),
% 0.22/0.51 inference(component_clause,[status(thm)],[f103])).
% 0.22/0.51 fof(f107,plain,(
% 0.22/0.51 spl0_9|spl0_2),
% 0.22/0.51 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.22/0.51 fof(f108,plain,(
% 0.22/0.51 spl0_9|spl0_3),
% 0.22/0.51 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.22/0.51 fof(f109,plain,(
% 0.22/0.51 spl0_9|spl0_4),
% 0.22/0.51 inference(split_clause,[status(thm)],[f53,f103,f73])).
% 0.22/0.51 fof(f110,plain,(
% 0.22/0.51 spl0_9|spl0_5),
% 0.22/0.51 inference(split_clause,[status(thm)],[f54,f103,f77])).
% 0.22/0.51 fof(f111,plain,(
% 0.22/0.51 spl0_9|spl0_6),
% 0.22/0.51 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.22/0.51 fof(f112,plain,(
% 0.22/0.51 spl0_10 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f113,plain,(
% 0.22/0.51 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_10)),
% 0.22/0.51 inference(component_clause,[status(thm)],[f112])).
% 0.22/0.51 fof(f115,plain,(
% 0.22/0.51 spl0_11 <=> ~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f116,plain,(
% 0.22/0.51 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_11)),
% 0.22/0.51 inference(component_clause,[status(thm)],[f115])).
% 0.22/0.51 fof(f118,plain,(
% 0.22/0.51 spl0_12 <=> ~multiply(X2,X3)=sk_c6|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f119,plain,(
% 0.22/0.51 ![X0,X1]: (~multiply(X0,X1)=sk_c6|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c6|~spl0_12)),
% 0.22/0.51 inference(component_clause,[status(thm)],[f118])).
% 0.22/0.51 fof(f121,plain,(
% 0.22/0.51 ~spl0_0|spl0_10|~spl0_9|~spl0_1|spl0_11|spl0_12),
% 0.22/0.51 inference(split_clause,[status(thm)],[f57,f58,f112,f103,f61,f115,f118])).
% 0.22/0.51 fof(f122,plain,(
% 0.22/0.51 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c7)=sk_c6|~spl0_12)),
% 0.22/0.51 inference(destructive_equality_resolution,[status(esa)],[f119])).
% 0.22/0.51 fof(f126,plain,(
% 0.22/0.51 spl0_14 <=> multiply(sk_c7,sk_c7)=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f128,plain,(
% 0.22/0.51 ~multiply(sk_c7,sk_c7)=sk_c6|spl0_14),
% 0.22/0.51 inference(component_clause,[status(thm)],[f126])).
% 0.22/0.51 fof(f131,plain,(
% 0.22/0.51 spl0_15 <=> multiply(sk_c3,inverse(sk_c3))=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f133,plain,(
% 0.22/0.51 ~multiply(sk_c3,inverse(sk_c3))=sk_c6|spl0_15),
% 0.22/0.51 inference(component_clause,[status(thm)],[f131])).
% 0.22/0.51 fof(f134,plain,(
% 0.22/0.51 ~multiply(sk_c3,inverse(sk_c3))=sk_c6|~multiply(sk_c4,sk_c7)=sk_c6|~spl0_12|~spl0_5),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f78,f122])).
% 0.22/0.51 fof(f135,plain,(
% 0.22/0.51 ~spl0_15|~spl0_6|~spl0_12|~spl0_5),
% 0.22/0.51 inference(split_clause,[status(thm)],[f134,f131,f81,f118,f77])).
% 0.22/0.51 fof(f136,plain,(
% 0.22/0.51 spl0_16 <=> multiply(sk_c1,inverse(sk_c1))=sk_c6),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f138,plain,(
% 0.22/0.51 ~multiply(sk_c1,inverse(sk_c1))=sk_c6|spl0_16),
% 0.22/0.51 inference(component_clause,[status(thm)],[f136])).
% 0.22/0.51 fof(f139,plain,(
% 0.22/0.51 ~multiply(sk_c1,inverse(sk_c1))=sk_c6|~multiply(sk_c7,sk_c7)=sk_c6|~spl0_12|~spl0_8),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f95,f122])).
% 0.22/0.51 fof(f140,plain,(
% 0.22/0.51 ~spl0_16|~spl0_14|~spl0_12|~spl0_8),
% 0.22/0.51 inference(split_clause,[status(thm)],[f139,f136,f126,f118,f94])).
% 0.22/0.51 fof(f141,plain,(
% 0.22/0.51 ~multiply(sk_c1,sk_c7)=sk_c6|~spl0_8|spl0_16),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f95,f138])).
% 0.22/0.51 fof(f142,plain,(
% 0.22/0.51 ~sk_c6=sk_c6|~spl0_7|~spl0_8|spl0_16),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f86,f141])).
% 0.22/0.51 fof(f143,plain,(
% 0.22/0.51 $false|~spl0_7|~spl0_8|spl0_16),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f142])).
% 0.22/0.51 fof(f144,plain,(
% 0.22/0.51 ~spl0_7|~spl0_8|spl0_16),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f143])).
% 0.22/0.51 fof(f145,plain,(
% 0.22/0.51 ~multiply(sk_c3,sk_c4)=sk_c6|~spl0_5|spl0_15),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f78,f133])).
% 0.22/0.51 fof(f146,plain,(
% 0.22/0.51 ~sk_c6=sk_c6|~spl0_4|~spl0_5|spl0_15),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f74,f145])).
% 0.22/0.51 fof(f147,plain,(
% 0.22/0.51 $false|~spl0_4|~spl0_5|spl0_15),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f146])).
% 0.22/0.51 fof(f148,plain,(
% 0.22/0.51 ~spl0_4|~spl0_5|spl0_15),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f147])).
% 0.22/0.51 fof(f151,plain,(
% 0.22/0.51 ~multiply(sk_c2,sk_c6)=sk_c7|~spl0_11|~spl0_2),
% 0.22/0.51 inference(resolution,[status(thm)],[f116,f66])).
% 0.22/0.51 fof(f152,plain,(
% 0.22/0.51 ~sk_c7=sk_c7|~spl0_3|~spl0_11|~spl0_2),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f70,f151])).
% 0.22/0.51 fof(f153,plain,(
% 0.22/0.51 $false|~spl0_3|~spl0_11|~spl0_2),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f152])).
% 0.22/0.51 fof(f154,plain,(
% 0.22/0.51 ~spl0_3|~spl0_11|~spl0_2),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f153])).
% 0.22/0.51 fof(f158,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_6)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f82,f31])).
% 0.22/0.51 fof(f159,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_1)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f62,f31])).
% 0.22/0.51 fof(f161,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c6,X0))|~spl0_3)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f70,f31])).
% 0.22/0.51 fof(f162,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c3,multiply(sk_c4,X0))|~spl0_4)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f74,f31])).
% 0.22/0.51 fof(f172,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c7,multiply(sk_c7,X0))=multiply(sk_c2,multiply(sk_c5,X0))|~spl0_3|~spl0_1)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f159,f161])).
% 0.22/0.51 fof(f173,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c7)=multiply(sk_c2,sk_c5)|~spl0_3|~spl0_1),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f62,f161])).
% 0.22/0.51 fof(f179,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c6,multiply(sk_c7,X0))=multiply(sk_c3,multiply(sk_c6,X0))|~spl0_4|~spl0_6)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f158,f162])).
% 0.22/0.51 fof(f180,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~spl0_1|~spl0_4|~spl0_6)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f159,f179])).
% 0.22/0.51 fof(f181,plain,(
% 0.22/0.51 multiply(sk_c6,sk_c7)=multiply(sk_c3,sk_c6)|~spl0_4|~spl0_6),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f82,f162])).
% 0.22/0.51 fof(f182,plain,(
% 0.22/0.51 sk_c5=multiply(sk_c3,sk_c6)|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f62,f181])).
% 0.22/0.51 fof(f189,plain,(
% 0.22/0.51 multiply(sk_c5,sk_c7)=multiply(sk_c3,sk_c5)|~spl0_4|~spl0_6|~spl0_1),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f62,f180])).
% 0.22/0.51 fof(f190,plain,(
% 0.22/0.51 sk_c6=multiply(sk_c3,sk_c5)|~spl0_9|~spl0_4|~spl0_6|~spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f104,f189])).
% 0.22/0.51 fof(f204,plain,(
% 0.22/0.51 multiply(sk_c7,multiply(sk_c7,sk_c7))=multiply(sk_c2,sk_c6)|~spl0_3|~spl0_1|~spl0_9),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f104,f172])).
% 0.22/0.51 fof(f205,plain,(
% 0.22/0.51 multiply(sk_c7,multiply(sk_c7,sk_c7))=sk_c7|~spl0_3|~spl0_1|~spl0_9),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f70,f204])).
% 0.22/0.51 fof(f227,plain,(
% 0.22/0.51 multiply(sk_c4,sk_c3)=identity|~spl0_5),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f78,f30])).
% 0.22/0.51 fof(f229,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c1)=identity|~spl0_8),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f95,f30])).
% 0.22/0.51 fof(f230,plain,(
% 0.22/0.51 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.22/0.51 fof(f231,plain,(
% 0.22/0.51 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f29,f230])).
% 0.22/0.51 fof(f233,plain,(
% 0.22/0.51 ![X0]: (multiply(identity,X0)=multiply(sk_c4,multiply(sk_c3,X0))|~spl0_5)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f227,f31])).
% 0.22/0.51 fof(f234,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c4,multiply(sk_c3,X0))|~spl0_5)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f29,f233])).
% 0.22/0.51 fof(f247,plain,(
% 0.22/0.51 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_8)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f229,f31])).
% 0.22/0.51 fof(f248,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_8)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f29,f247])).
% 0.22/0.51 fof(f249,plain,(
% 0.22/0.51 sk_c5=multiply(sk_c4,sk_c6)|~spl0_5|~spl0_9|~spl0_4|~spl0_6|~spl0_1),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f190,f234])).
% 0.22/0.51 fof(f250,plain,(
% 0.22/0.51 sk_c6=multiply(sk_c4,sk_c5)|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f182,f234])).
% 0.22/0.51 fof(f254,plain,(
% 0.22/0.51 sk_c4=multiply(sk_c4,sk_c6)|~spl0_5|~spl0_4),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f74,f234])).
% 0.22/0.51 fof(f258,plain,(
% 0.22/0.51 multiply(sk_c6,sk_c6)=multiply(sk_c3,sk_c5)|~spl0_5|~spl0_9|~spl0_4|~spl0_6|~spl0_1),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f249,f162])).
% 0.22/0.51 fof(f259,plain,(
% 0.22/0.51 multiply(sk_c6,sk_c6)=sk_c6|~spl0_5|~spl0_9|~spl0_4|~spl0_6|~spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f190,f258])).
% 0.22/0.51 fof(f261,plain,(
% 0.22/0.51 multiply(sk_c6,sk_c5)=multiply(sk_c3,sk_c6)|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f250,f162])).
% 0.22/0.51 fof(f262,plain,(
% 0.22/0.51 multiply(sk_c6,sk_c5)=sk_c5|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f182,f261])).
% 0.22/0.51 fof(f264,plain,(
% 0.22/0.51 sk_c4=sk_c5|~spl0_9|~spl0_6|~spl0_1|~spl0_5|~spl0_4),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f249,f254])).
% 0.22/0.51 fof(f272,plain,(
% 0.22/0.51 inverse(sk_c3)=sk_c5|~spl0_9|~spl0_6|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f264,f78])).
% 0.22/0.51 fof(f277,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c6)=multiply(sk_c2,sk_c6)|~spl0_3|~spl0_5|~spl0_9|~spl0_4|~spl0_6|~spl0_1),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f259,f161])).
% 0.22/0.51 fof(f278,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c6)=sk_c7|~spl0_3|~spl0_5|~spl0_9|~spl0_4|~spl0_6|~spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f70,f277])).
% 0.22/0.51 fof(f282,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c5)=multiply(sk_c2,sk_c5)|~spl0_3|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f262,f161])).
% 0.22/0.51 fof(f283,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c5)=multiply(sk_c7,sk_c7)|~spl0_3|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f173,f282])).
% 0.22/0.51 fof(f299,plain,(
% 0.22/0.51 ~sk_c7=sk_c5|~spl0_3|~spl0_5|~spl0_9|~spl0_4|~spl0_6|~spl0_1|spl0_0),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f278,f60])).
% 0.22/0.51 fof(f340,plain,(
% 0.22/0.51 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f29,f231])).
% 0.22/0.51 fof(f341,plain,(
% 0.22/0.51 sk_c5=multiply(inverse(sk_c7),multiply(sk_c7,sk_c7))|~spl0_3|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f283,f231])).
% 0.22/0.51 fof(f342,plain,(
% 0.22/0.51 sk_c5=sk_c7|~spl0_3|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f231,f341])).
% 0.22/0.51 fof(f343,plain,(
% 0.22/0.51 $false|~spl0_9|spl0_0|~spl0_3|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(forward_subsumption_resolution,[status(thm)],[f342,f299])).
% 0.22/0.51 fof(f344,plain,(
% 0.22/0.51 ~spl0_9|spl0_0|~spl0_3|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f343])).
% 0.22/0.51 fof(f349,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c7)=multiply(inverse(sk_c7),sk_c7)|~spl0_3|~spl0_1|~spl0_9),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f205,f231])).
% 0.22/0.51 fof(f350,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c7)=identity|~spl0_3|~spl0_1|~spl0_9),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f30,f349])).
% 0.22/0.51 fof(f354,plain,(
% 0.22/0.51 sk_c5=multiply(inverse(sk_c6),sk_c5)|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f262,f231])).
% 0.22/0.51 fof(f358,plain,(
% 0.22/0.51 sk_c7=multiply(inverse(sk_c6),sk_c5)|~spl0_1),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f62,f231])).
% 0.22/0.51 fof(f375,plain,(
% 0.22/0.51 sk_c6=multiply(inverse(sk_c2),sk_c7)|~spl0_3),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f70,f231])).
% 0.22/0.51 fof(f376,plain,(
% 0.22/0.51 sk_c6=multiply(sk_c7,sk_c7)|~spl0_2|~spl0_3),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f66,f375])).
% 0.22/0.51 fof(f407,plain,(
% 0.22/0.51 sk_c6=identity|~spl0_1|~spl0_9|~spl0_2|~spl0_3),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f350,f376])).
% 0.22/0.51 fof(f424,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c3,multiply(identity,X0))|~spl0_9|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_6)),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f407,f180])).
% 0.22/0.51 fof(f425,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c3,X0)|~spl0_9|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_6)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f29,f424])).
% 0.22/0.51 fof(f470,plain,(
% 0.22/0.51 sk_c7=multiply(inverse(identity),sk_c5)|~spl0_9|~spl0_2|~spl0_3|~spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f407,f358])).
% 0.22/0.51 fof(f471,plain,(
% 0.22/0.51 sk_c7=sk_c5|~spl0_9|~spl0_2|~spl0_3|~spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f340,f470])).
% 0.22/0.51 fof(f480,plain,(
% 0.22/0.51 inverse(sk_c3)=sk_c7|~spl0_2|~spl0_3|~spl0_9|~spl0_6|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f471,f272])).
% 0.22/0.51 fof(f506,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,X0)|~spl0_9|~spl0_2|~spl0_3|~spl0_1|~spl0_4|~spl0_6)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f471,f425])).
% 0.22/0.51 fof(f549,plain,(
% 0.22/0.51 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_1|~spl0_9|~spl0_2|~spl0_3|~spl0_10)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f407,f113])).
% 0.22/0.51 fof(f550,plain,(
% 0.22/0.51 ~multiply(sk_c3,sk_c7)=identity|~spl0_10|~spl0_2|~spl0_3|~spl0_9|~spl0_6|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(resolution,[status(thm)],[f549,f480])).
% 0.22/0.51 fof(f551,plain,(
% 0.22/0.51 ~multiply(sk_c7,sk_c7)=identity|~spl0_10|~spl0_2|~spl0_3|~spl0_9|~spl0_6|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f506,f550])).
% 0.22/0.51 fof(f552,plain,(
% 0.22/0.51 ~identity=identity|~spl0_10|~spl0_2|~spl0_3|~spl0_9|~spl0_6|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f350,f551])).
% 0.22/0.51 fof(f553,plain,(
% 0.22/0.51 $false|~spl0_10|~spl0_2|~spl0_3|~spl0_9|~spl0_6|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f552])).
% 0.22/0.51 fof(f554,plain,(
% 0.22/0.51 ~spl0_10|~spl0_2|~spl0_3|~spl0_9|~spl0_6|~spl0_1|~spl0_4|~spl0_5),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f553])).
% 0.22/0.51 fof(f556,plain,(
% 0.22/0.51 sk_c7=multiply(inverse(sk_c1),sk_c6)|~spl0_7),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f86,f231])).
% 0.22/0.51 fof(f557,plain,(
% 0.22/0.51 sk_c7=multiply(sk_c7,sk_c6)|~spl0_8|~spl0_7),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f95,f556])).
% 0.22/0.51 fof(f559,plain,(
% 0.22/0.51 ~inverse(sk_c1)=sk_c7|~spl0_10|~spl0_7),
% 0.22/0.51 inference(resolution,[status(thm)],[f113,f86])).
% 0.22/0.51 fof(f560,plain,(
% 0.22/0.51 ~sk_c7=sk_c7|~spl0_8|~spl0_10|~spl0_7),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f95,f559])).
% 0.22/0.51 fof(f561,plain,(
% 0.22/0.51 $false|~spl0_8|~spl0_10|~spl0_7),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f560])).
% 0.22/0.51 fof(f562,plain,(
% 0.22/0.51 ~spl0_8|~spl0_10|~spl0_7),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f561])).
% 0.22/0.51 fof(f567,plain,(
% 0.22/0.51 sk_c6=multiply(inverse(sk_c7),sk_c5)|~spl0_0),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f59,f231])).
% 0.22/0.51 fof(f574,plain,(
% 0.22/0.51 sk_c7=sk_c5|~spl0_0|~spl0_8|~spl0_7),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f59,f557])).
% 0.22/0.51 fof(f575,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c6)=sk_c7|~spl0_8|~spl0_7|~spl0_0),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f574,f59])).
% 0.22/0.51 fof(f576,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c7)=sk_c6|~spl0_0|~spl0_8|~spl0_7|~spl0_9),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f574,f104])).
% 0.22/0.51 fof(f580,plain,(
% 0.22/0.51 sk_c7=multiply(inverse(sk_c7),sk_c6)|~spl0_0|~spl0_8|~spl0_7|~spl0_9),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f576,f231])).
% 0.22/0.51 fof(f586,plain,(
% 0.22/0.51 sk_c6=multiply(inverse(sk_c7),sk_c7)|~spl0_8|~spl0_7|~spl0_0),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f574,f567])).
% 0.22/0.51 fof(f587,plain,(
% 0.22/0.51 sk_c6=identity|~spl0_8|~spl0_7|~spl0_0),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f30,f586])).
% 0.22/0.51 fof(f589,plain,(
% 0.22/0.51 multiply(sk_c7,sk_c7)=identity|~spl0_0|~spl0_8|~spl0_7|~spl0_9),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f587,f576])).
% 0.22/0.51 fof(f590,plain,(
% 0.22/0.51 multiply(sk_c7,identity)=sk_c7|~spl0_8|~spl0_7|~spl0_0),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f587,f575])).
% 0.22/0.51 fof(f608,plain,(
% 0.22/0.51 sk_c7=multiply(inverse(sk_c7),identity)|~spl0_0|~spl0_8|~spl0_7|~spl0_9),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f587,f580])).
% 0.22/0.51 fof(f610,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c7),multiply(identity,X0))|~spl0_0|~spl0_8|~spl0_7|~spl0_9)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f608,f31])).
% 0.22/0.51 fof(f611,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c7),X0)|~spl0_0|~spl0_8|~spl0_7|~spl0_9)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f29,f610])).
% 0.22/0.51 fof(f641,plain,(
% 0.22/0.51 ~identity=sk_c6|~spl0_0|~spl0_8|~spl0_7|~spl0_9|spl0_14),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f589,f128])).
% 0.22/0.51 fof(f642,plain,(
% 0.22/0.51 ~identity=identity|~spl0_0|~spl0_8|~spl0_7|~spl0_9|spl0_14),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f587,f641])).
% 0.22/0.51 fof(f643,plain,(
% 0.22/0.51 $false|~spl0_0|~spl0_8|~spl0_7|~spl0_9|spl0_14),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f642])).
% 0.22/0.51 fof(f644,plain,(
% 0.22/0.51 ~spl0_0|~spl0_8|~spl0_7|~spl0_9|spl0_14),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f643])).
% 0.22/0.51 fof(f646,plain,(
% 0.22/0.51 ~multiply(identity,sk_c7)=sk_c5|~spl0_8|~spl0_7|~spl0_0|spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f587,f63])).
% 0.22/0.51 fof(f647,plain,(
% 0.22/0.51 ~sk_c7=sk_c5|~spl0_8|~spl0_7|~spl0_0|spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f29,f646])).
% 0.22/0.51 fof(f648,plain,(
% 0.22/0.51 ~sk_c7=sk_c7|~spl0_8|~spl0_7|~spl0_0|spl0_1),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f574,f647])).
% 0.22/0.51 fof(f649,plain,(
% 0.22/0.51 $false|~spl0_8|~spl0_7|~spl0_0|spl0_1),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f648])).
% 0.22/0.51 fof(f650,plain,(
% 0.22/0.51 ~spl0_8|~spl0_7|~spl0_0|spl0_1),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f649])).
% 0.22/0.51 fof(f673,plain,(
% 0.22/0.51 ~multiply(sk_c1,sk_c6)=sk_c7|~spl0_11|~spl0_8),
% 0.22/0.51 inference(resolution,[status(thm)],[f116,f95])).
% 0.22/0.51 fof(f674,plain,(
% 0.22/0.51 ~multiply(sk_c1,identity)=sk_c7|~spl0_7|~spl0_0|~spl0_11|~spl0_8),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f587,f673])).
% 0.22/0.51 fof(f675,plain,(
% 0.22/0.51 spl0_17 <=> sk_c7=sk_c7),
% 0.22/0.51 introduced(split_symbol_definition)).
% 0.22/0.51 fof(f677,plain,(
% 0.22/0.51 ~sk_c7=sk_c7|spl0_17),
% 0.22/0.51 inference(component_clause,[status(thm)],[f675])).
% 0.22/0.51 fof(f687,plain,(
% 0.22/0.51 $false|spl0_17),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f677])).
% 0.22/0.51 fof(f688,plain,(
% 0.22/0.51 spl0_17),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f687])).
% 0.22/0.51 fof(f696,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c1,X0)=multiply(inverse(sk_c7),X0)|~spl0_8)),
% 0.22/0.51 inference(paramodulation,[status(thm)],[f248,f231])).
% 0.22/0.51 fof(f697,plain,(
% 0.22/0.51 ![X0]: (multiply(sk_c1,X0)=multiply(sk_c7,X0)|~spl0_0|~spl0_7|~spl0_9|~spl0_8)),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f611,f696])).
% 0.22/0.51 fof(f700,plain,(
% 0.22/0.51 ~multiply(sk_c7,identity)=sk_c7|~spl0_9|~spl0_7|~spl0_0|~spl0_11|~spl0_8),
% 0.22/0.51 inference(backward_demodulation,[status(thm)],[f697,f674])).
% 0.22/0.51 fof(f701,plain,(
% 0.22/0.51 ~sk_c7=sk_c7|~spl0_9|~spl0_7|~spl0_0|~spl0_11|~spl0_8),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f590,f700])).
% 0.22/0.51 fof(f702,plain,(
% 0.22/0.51 $false|~spl0_9|~spl0_7|~spl0_0|~spl0_11|~spl0_8),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f701])).
% 0.22/0.51 fof(f703,plain,(
% 0.22/0.51 ~spl0_9|~spl0_7|~spl0_0|~spl0_11|~spl0_8),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f702])).
% 0.22/0.51 fof(f740,plain,(
% 0.22/0.51 sk_c5=sk_c7|~spl0_5|~spl0_1|~spl0_4|~spl0_6),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f358,f354])).
% 0.22/0.51 fof(f752,plain,(
% 0.22/0.51 ~multiply(sk_c7,sk_c7)=sk_c6|~spl0_5|~spl0_1|~spl0_4|~spl0_6|spl0_9),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f740,f105])).
% 0.22/0.51 fof(f753,plain,(
% 0.22/0.51 ~sk_c6=sk_c6|~spl0_2|~spl0_3|~spl0_5|~spl0_1|~spl0_4|~spl0_6|spl0_9),
% 0.22/0.51 inference(forward_demodulation,[status(thm)],[f376,f752])).
% 0.22/0.51 fof(f754,plain,(
% 0.22/0.51 $false|~spl0_2|~spl0_3|~spl0_5|~spl0_1|~spl0_4|~spl0_6|spl0_9),
% 0.22/0.51 inference(trivial_equality_resolution,[status(esa)],[f753])).
% 0.22/0.51 fof(f755,plain,(
% 0.22/0.51 ~spl0_2|~spl0_3|~spl0_5|~spl0_1|~spl0_4|~spl0_6|spl0_9),
% 0.22/0.51 inference(contradiction_clause,[status(thm)],[f754])).
% 0.22/0.51 fof(f756,plain,(
% 0.22/0.51 $false),
% 0.22/0.51 inference(sat_refutation,[status(thm)],[f64,f68,f72,f76,f80,f84,f88,f89,f90,f91,f92,f93,f97,f98,f99,f100,f101,f102,f107,f108,f109,f110,f111,f121,f135,f140,f144,f148,f154,f344,f554,f562,f644,f650,f688,f703,f755])).
% 0.22/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.51 % Elapsed time: 0.151070 seconds
% 0.22/0.51 % CPU time: 1.016904 seconds
% 0.22/0.51 % Total memory used: 76.727 MB
% 0.22/0.51 % Net memory used: 75.949 MB
%------------------------------------------------------------------------------