TSTP Solution File: GRP333-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP333-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:20:07 EDT 2024
% Result : Unsatisfiable 0.16s 0.41s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP333-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:15:32 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 0.16/0.41 % Refutation found
% 0.16/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.41 fof(f1,axiom,(
% 0.16/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f2,axiom,(
% 0.16/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f3,axiom,(
% 0.16/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f4,negated_conjecture,(
% 0.16/0.41 multiply(sk_c6,sk_c7) = sk_c5 ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f5,negated_conjecture,(
% 0.16/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f6,negated_conjecture,(
% 0.16/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f7,negated_conjecture,(
% 0.16/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f8,negated_conjecture,(
% 0.16/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f9,negated_conjecture,(
% 0.16/0.41 ( inverse(sk_c1) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f10,negated_conjecture,(
% 0.16/0.41 ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f11,negated_conjecture,(
% 0.16/0.41 ( inverse(sk_c1) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f12,negated_conjecture,(
% 0.16/0.41 ( inverse(sk_c1) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f13,negated_conjecture,(
% 0.16/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f14,negated_conjecture,(
% 0.16/0.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f15,negated_conjecture,(
% 0.16/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f16,negated_conjecture,(
% 0.16/0.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f17,negated_conjecture,(
% 0.16/0.41 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c7) = sk_c6 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f18,negated_conjecture,(
% 0.16/0.41 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f19,negated_conjecture,(
% 0.16/0.41 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c4,sk_c6) = sk_c5 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f20,negated_conjecture,(
% 0.16/0.41 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f21,negated_conjecture,(
% 0.16/0.41 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| multiply(X3,sk_c6) != sk_c7| inverse(X3) != sk_c6| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| multiply(X2,sk_c6) != sk_c5| inverse(X2) != sk_c6 ) ))),
% 0.16/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.41 fof(f22,plain,(
% 0.16/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.41 fof(f23,plain,(
% 0.16/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.41 fof(f24,plain,(
% 0.16/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.41 fof(f25,plain,(
% 0.16/0.41 multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f4])).
% 0.16/0.41 fof(f26,plain,(
% 0.16/0.41 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c7)=sk_c6),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f5])).
% 0.16/0.41 fof(f27,plain,(
% 0.16/0.41 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f6])).
% 0.16/0.41 fof(f28,plain,(
% 0.16/0.41 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c6)=sk_c5),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f7])).
% 0.16/0.41 fof(f29,plain,(
% 0.16/0.41 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f8])).
% 0.16/0.41 fof(f30,plain,(
% 0.16/0.41 inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.41 fof(f31,plain,(
% 0.16/0.41 inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f10])).
% 0.16/0.41 fof(f32,plain,(
% 0.16/0.41 inverse(sk_c1)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.41 fof(f33,plain,(
% 0.16/0.41 inverse(sk_c1)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.41 fof(f34,plain,(
% 0.16/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f13])).
% 0.16/0.41 fof(f35,plain,(
% 0.16/0.41 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.41 fof(f36,plain,(
% 0.16/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f15])).
% 0.16/0.41 fof(f37,plain,(
% 0.16/0.41 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f16])).
% 0.16/0.41 fof(f38,plain,(
% 0.16/0.41 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c7)=sk_c6),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.41 fof(f39,plain,(
% 0.16/0.41 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f18])).
% 0.16/0.41 fof(f40,plain,(
% 0.16/0.41 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c4,sk_c6)=sk_c5),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.41 fof(f41,plain,(
% 0.16/0.41 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.41 fof(f42,plain,(
% 0.16/0.41 ![X2]: (((![X1]: (((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X3,sk_c6)=sk_c7)|~inverse(X3)=sk_c6))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~multiply(X2,sk_c6)=sk_c5)|~inverse(X2)=sk_c6)),
% 0.16/0.41 inference(miniscoping,[status(esa)],[f21])).
% 0.16/0.41 fof(f43,plain,(
% 0.16/0.41 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7|~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6)),
% 0.16/0.41 inference(cnf_transformation,[status(esa)],[f42])).
% 0.16/0.41 fof(f44,plain,(
% 0.16/0.41 spl0_0 <=> multiply(sk_c1,sk_c6)=sk_c7),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f45,plain,(
% 0.16/0.41 multiply(sk_c1,sk_c6)=sk_c7|~spl0_0),
% 0.16/0.41 inference(component_clause,[status(thm)],[f44])).
% 0.16/0.41 fof(f47,plain,(
% 0.16/0.41 spl0_1 <=> multiply(sk_c3,sk_c7)=sk_c6),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f48,plain,(
% 0.16/0.41 multiply(sk_c3,sk_c7)=sk_c6|~spl0_1),
% 0.16/0.41 inference(component_clause,[status(thm)],[f47])).
% 0.16/0.41 fof(f50,plain,(
% 0.16/0.41 spl0_0|spl0_1),
% 0.16/0.41 inference(split_clause,[status(thm)],[f26,f44,f47])).
% 0.16/0.41 fof(f51,plain,(
% 0.16/0.41 spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f52,plain,(
% 0.16/0.41 inverse(sk_c3)=sk_c7|~spl0_2),
% 0.16/0.41 inference(component_clause,[status(thm)],[f51])).
% 0.16/0.41 fof(f54,plain,(
% 0.16/0.41 spl0_0|spl0_2),
% 0.16/0.41 inference(split_clause,[status(thm)],[f27,f44,f51])).
% 0.16/0.41 fof(f55,plain,(
% 0.16/0.41 spl0_3 <=> multiply(sk_c4,sk_c6)=sk_c5),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f56,plain,(
% 0.16/0.41 multiply(sk_c4,sk_c6)=sk_c5|~spl0_3),
% 0.16/0.41 inference(component_clause,[status(thm)],[f55])).
% 0.16/0.41 fof(f58,plain,(
% 0.16/0.41 spl0_0|spl0_3),
% 0.16/0.41 inference(split_clause,[status(thm)],[f28,f44,f55])).
% 0.16/0.41 fof(f59,plain,(
% 0.16/0.41 spl0_4 <=> inverse(sk_c4)=sk_c6),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f60,plain,(
% 0.16/0.41 inverse(sk_c4)=sk_c6|~spl0_4),
% 0.16/0.41 inference(component_clause,[status(thm)],[f59])).
% 0.16/0.41 fof(f62,plain,(
% 0.16/0.41 spl0_0|spl0_4),
% 0.16/0.41 inference(split_clause,[status(thm)],[f29,f44,f59])).
% 0.16/0.41 fof(f63,plain,(
% 0.16/0.41 spl0_5 <=> inverse(sk_c1)=sk_c6),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f64,plain,(
% 0.16/0.41 inverse(sk_c1)=sk_c6|~spl0_5),
% 0.16/0.41 inference(component_clause,[status(thm)],[f63])).
% 0.16/0.41 fof(f66,plain,(
% 0.16/0.41 spl0_5|spl0_1),
% 0.16/0.41 inference(split_clause,[status(thm)],[f30,f63,f47])).
% 0.16/0.41 fof(f67,plain,(
% 0.16/0.41 spl0_5|spl0_2),
% 0.16/0.41 inference(split_clause,[status(thm)],[f31,f63,f51])).
% 0.16/0.41 fof(f68,plain,(
% 0.16/0.41 spl0_5|spl0_3),
% 0.16/0.41 inference(split_clause,[status(thm)],[f32,f63,f55])).
% 0.16/0.41 fof(f69,plain,(
% 0.16/0.41 spl0_5|spl0_4),
% 0.16/0.41 inference(split_clause,[status(thm)],[f33,f63,f59])).
% 0.16/0.41 fof(f70,plain,(
% 0.16/0.41 spl0_6 <=> inverse(sk_c2)=sk_c6),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f71,plain,(
% 0.16/0.41 inverse(sk_c2)=sk_c6|~spl0_6),
% 0.16/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.16/0.41 fof(f73,plain,(
% 0.16/0.41 spl0_6|spl0_1),
% 0.16/0.41 inference(split_clause,[status(thm)],[f34,f70,f47])).
% 0.16/0.41 fof(f74,plain,(
% 0.16/0.41 spl0_6|spl0_2),
% 0.16/0.41 inference(split_clause,[status(thm)],[f35,f70,f51])).
% 0.16/0.41 fof(f75,plain,(
% 0.16/0.41 spl0_6|spl0_3),
% 0.16/0.41 inference(split_clause,[status(thm)],[f36,f70,f55])).
% 0.16/0.41 fof(f76,plain,(
% 0.16/0.41 spl0_6|spl0_4),
% 0.16/0.41 inference(split_clause,[status(thm)],[f37,f70,f59])).
% 0.16/0.41 fof(f77,plain,(
% 0.16/0.41 spl0_7 <=> multiply(sk_c2,sk_c5)=sk_c6),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f78,plain,(
% 0.16/0.41 multiply(sk_c2,sk_c5)=sk_c6|~spl0_7),
% 0.16/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.16/0.41 fof(f80,plain,(
% 0.16/0.41 spl0_7|spl0_1),
% 0.16/0.41 inference(split_clause,[status(thm)],[f38,f77,f47])).
% 0.16/0.41 fof(f81,plain,(
% 0.16/0.41 spl0_7|spl0_2),
% 0.16/0.41 inference(split_clause,[status(thm)],[f39,f77,f51])).
% 0.16/0.41 fof(f82,plain,(
% 0.16/0.41 spl0_7|spl0_3),
% 0.16/0.41 inference(split_clause,[status(thm)],[f40,f77,f55])).
% 0.16/0.41 fof(f83,plain,(
% 0.16/0.41 spl0_7|spl0_4),
% 0.16/0.41 inference(split_clause,[status(thm)],[f41,f77,f59])).
% 0.16/0.41 fof(f84,plain,(
% 0.16/0.41 spl0_8 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f86,plain,(
% 0.16/0.41 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_8),
% 0.16/0.41 inference(component_clause,[status(thm)],[f84])).
% 0.16/0.41 fof(f87,plain,(
% 0.16/0.41 spl0_9 <=> ~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f88,plain,(
% 0.16/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_9)),
% 0.16/0.41 inference(component_clause,[status(thm)],[f87])).
% 0.16/0.41 fof(f90,plain,(
% 0.16/0.41 spl0_10 <=> ~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f91,plain,(
% 0.16/0.41 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_10)),
% 0.16/0.41 inference(component_clause,[status(thm)],[f90])).
% 0.16/0.41 fof(f93,plain,(
% 0.16/0.41 spl0_11 <=> ~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f94,plain,(
% 0.16/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_11)),
% 0.16/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.16/0.41 fof(f96,plain,(
% 0.16/0.41 spl0_12 <=> ~multiply(X3,sk_c6)=sk_c5|~inverse(X3)=sk_c6),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f97,plain,(
% 0.16/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~spl0_12)),
% 0.16/0.41 inference(component_clause,[status(thm)],[f96])).
% 0.16/0.41 fof(f99,plain,(
% 0.16/0.41 ~spl0_8|spl0_9|spl0_10|spl0_11|spl0_12),
% 0.16/0.41 inference(split_clause,[status(thm)],[f43,f84,f87,f90,f93,f96])).
% 0.16/0.41 fof(f100,plain,(
% 0.16/0.41 ~sk_c5=sk_c5|spl0_8),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f25,f86])).
% 0.16/0.41 fof(f101,plain,(
% 0.16/0.41 $false|spl0_8),
% 0.16/0.41 inference(trivial_equality_resolution,[status(esa)],[f100])).
% 0.16/0.41 fof(f102,plain,(
% 0.16/0.41 spl0_8),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f101])).
% 0.16/0.41 fof(f103,plain,(
% 0.16/0.41 ~inverse(sk_c4)=sk_c6|~spl0_12|~spl0_3),
% 0.16/0.41 inference(resolution,[status(thm)],[f97,f56])).
% 0.16/0.41 fof(f104,plain,(
% 0.16/0.41 ~sk_c6=sk_c6|~spl0_4|~spl0_12|~spl0_3),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f60,f103])).
% 0.16/0.41 fof(f105,plain,(
% 0.16/0.41 $false|~spl0_4|~spl0_12|~spl0_3),
% 0.16/0.41 inference(trivial_equality_resolution,[status(esa)],[f104])).
% 0.16/0.41 fof(f106,plain,(
% 0.16/0.41 ~spl0_4|~spl0_12|~spl0_3),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f105])).
% 0.16/0.41 fof(f107,plain,(
% 0.16/0.41 ~inverse(sk_c3)=sk_c7|~spl0_11|~spl0_1),
% 0.16/0.41 inference(resolution,[status(thm)],[f94,f48])).
% 0.16/0.41 fof(f108,plain,(
% 0.16/0.41 ~sk_c7=sk_c7|~spl0_2|~spl0_11|~spl0_1),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f52,f107])).
% 0.16/0.41 fof(f109,plain,(
% 0.16/0.41 $false|~spl0_2|~spl0_11|~spl0_1),
% 0.16/0.41 inference(trivial_equality_resolution,[status(esa)],[f108])).
% 0.16/0.41 fof(f110,plain,(
% 0.16/0.41 ~spl0_2|~spl0_11|~spl0_1),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f109])).
% 0.16/0.41 fof(f111,plain,(
% 0.16/0.41 ~inverse(sk_c2)=sk_c6|~spl0_10|~spl0_7),
% 0.16/0.41 inference(resolution,[status(thm)],[f91,f78])).
% 0.16/0.41 fof(f112,plain,(
% 0.16/0.41 ~sk_c6=sk_c6|~spl0_6|~spl0_10|~spl0_7),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f71,f111])).
% 0.16/0.41 fof(f113,plain,(
% 0.16/0.41 $false|~spl0_6|~spl0_10|~spl0_7),
% 0.16/0.41 inference(trivial_equality_resolution,[status(esa)],[f112])).
% 0.16/0.41 fof(f114,plain,(
% 0.16/0.41 ~spl0_6|~spl0_10|~spl0_7),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f113])).
% 0.16/0.41 fof(f123,plain,(
% 0.16/0.41 ~multiply(sk_c4,sk_c6)=sk_c7|~spl0_4|~spl0_9),
% 0.16/0.41 inference(resolution,[status(thm)],[f60,f88])).
% 0.16/0.41 fof(f124,plain,(
% 0.16/0.41 ~sk_c5=sk_c7|~spl0_3|~spl0_4|~spl0_9),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f56,f123])).
% 0.16/0.41 fof(f128,plain,(
% 0.16/0.41 spl0_16 <=> sk_c6=sk_c6),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f130,plain,(
% 0.16/0.41 ~sk_c6=sk_c6|spl0_16),
% 0.16/0.41 inference(component_clause,[status(thm)],[f128])).
% 0.16/0.41 fof(f138,plain,(
% 0.16/0.41 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(sk_c6,X0))|~spl0_3)),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f56,f24])).
% 0.16/0.41 fof(f140,plain,(
% 0.16/0.41 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0)))),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f25,f24])).
% 0.16/0.41 fof(f162,plain,(
% 0.16/0.41 multiply(sk_c6,sk_c4)=identity|~spl0_4),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f60,f23])).
% 0.16/0.41 fof(f163,plain,(
% 0.16/0.41 multiply(sk_c7,sk_c3)=identity|~spl0_2),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f52,f23])).
% 0.16/0.41 fof(f164,plain,(
% 0.16/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f23,f24])).
% 0.16/0.41 fof(f165,plain,(
% 0.16/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f22,f164])).
% 0.16/0.41 fof(f167,plain,(
% 0.16/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_4)),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f162,f24])).
% 0.16/0.41 fof(f168,plain,(
% 0.16/0.41 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_4)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f22,f167])).
% 0.16/0.41 fof(f171,plain,(
% 0.16/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_2)),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f163,f24])).
% 0.16/0.41 fof(f172,plain,(
% 0.16/0.41 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_2)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f22,f171])).
% 0.16/0.41 fof(f180,plain,(
% 0.16/0.41 sk_c6=multiply(sk_c6,sk_c5)|~spl0_4|~spl0_3),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f56,f168])).
% 0.16/0.41 fof(f190,plain,(
% 0.16/0.41 multiply(sk_c5,sk_c5)=multiply(sk_c4,sk_c6)|~spl0_4|~spl0_3),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f180,f138])).
% 0.16/0.41 fof(f191,plain,(
% 0.16/0.41 multiply(sk_c5,sk_c5)=sk_c5|~spl0_4|~spl0_3),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f56,f190])).
% 0.16/0.41 fof(f199,plain,(
% 0.16/0.41 sk_c7=multiply(sk_c7,sk_c6)|~spl0_2|~spl0_1),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f48,f172])).
% 0.16/0.41 fof(f204,plain,(
% 0.16/0.41 multiply(sk_c5,sk_c6)=multiply(sk_c6,sk_c7)|~spl0_2|~spl0_1),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f199,f140])).
% 0.16/0.41 fof(f205,plain,(
% 0.16/0.41 multiply(sk_c5,sk_c6)=sk_c5|~spl0_2|~spl0_1),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f25,f204])).
% 0.16/0.41 fof(f335,plain,(
% 0.16/0.41 sk_c6=multiply(inverse(sk_c5),sk_c5)|~spl0_2|~spl0_1),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f205,f165])).
% 0.16/0.41 fof(f336,plain,(
% 0.16/0.41 sk_c6=identity|~spl0_2|~spl0_1),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f23,f335])).
% 0.16/0.41 fof(f337,plain,(
% 0.16/0.41 sk_c5=multiply(inverse(sk_c5),sk_c5)|~spl0_4|~spl0_3),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f191,f165])).
% 0.16/0.41 fof(f338,plain,(
% 0.16/0.41 sk_c5=identity|~spl0_4|~spl0_3),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f23,f337])).
% 0.16/0.41 fof(f348,plain,(
% 0.16/0.41 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f165,f165])).
% 0.16/0.41 fof(f349,plain,(
% 0.16/0.41 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f23,f165])).
% 0.16/0.41 fof(f415,plain,(
% 0.16/0.41 multiply(identity,sk_c4)=identity|~spl0_2|~spl0_1|~spl0_4),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f336,f162])).
% 0.16/0.41 fof(f416,plain,(
% 0.16/0.41 sk_c4=identity|~spl0_2|~spl0_1|~spl0_4),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f22,f415])).
% 0.16/0.41 fof(f425,plain,(
% 0.16/0.41 inverse(sk_c4)=identity|~spl0_2|~spl0_1|~spl0_4),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f336,f60])).
% 0.16/0.41 fof(f434,plain,(
% 0.16/0.41 multiply(identity,sk_c7)=sk_c5|~spl0_2|~spl0_1),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f336,f25])).
% 0.16/0.41 fof(f435,plain,(
% 0.16/0.41 sk_c7=sk_c5|~spl0_2|~spl0_1),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f22,f434])).
% 0.16/0.41 fof(f436,plain,(
% 0.16/0.41 $false|~spl0_3|~spl0_4|~spl0_9|~spl0_2|~spl0_1),
% 0.16/0.41 inference(forward_subsumption_resolution,[status(thm)],[f435,f124])).
% 0.16/0.41 fof(f437,plain,(
% 0.16/0.41 ~spl0_3|~spl0_4|~spl0_9|~spl0_2|~spl0_1),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f436])).
% 0.16/0.41 fof(f438,plain,(
% 0.16/0.41 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_2|~spl0_1|~spl0_10)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f336,f91])).
% 0.16/0.41 fof(f439,plain,(
% 0.16/0.41 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=identity|~spl0_2|~spl0_1|~spl0_10)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f336,f438])).
% 0.16/0.41 fof(f475,plain,(
% 0.16/0.41 inverse(identity)=identity|~spl0_2|~spl0_1|~spl0_4),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f416,f425])).
% 0.16/0.41 fof(f536,plain,(
% 0.16/0.41 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_4|~spl0_3|~spl0_2|~spl0_1|~spl0_10)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f338,f439])).
% 0.16/0.41 fof(f537,plain,(
% 0.16/0.41 ~multiply(identity,identity)=identity|~spl0_3|~spl0_10|~spl0_2|~spl0_1|~spl0_4),
% 0.16/0.41 inference(resolution,[status(thm)],[f536,f475])).
% 0.16/0.41 fof(f538,plain,(
% 0.16/0.41 ~identity=identity|~spl0_3|~spl0_10|~spl0_2|~spl0_1|~spl0_4),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f22,f537])).
% 0.16/0.41 fof(f539,plain,(
% 0.16/0.41 $false|~spl0_3|~spl0_10|~spl0_2|~spl0_1|~spl0_4),
% 0.16/0.41 inference(trivial_equality_resolution,[status(esa)],[f538])).
% 0.16/0.41 fof(f540,plain,(
% 0.16/0.41 ~spl0_3|~spl0_10|~spl0_2|~spl0_1|~spl0_4),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f539])).
% 0.16/0.41 fof(f541,plain,(
% 0.16/0.41 $false|spl0_16),
% 0.16/0.41 inference(trivial_equality_resolution,[status(esa)],[f130])).
% 0.16/0.41 fof(f542,plain,(
% 0.16/0.41 spl0_16),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f541])).
% 0.16/0.41 fof(f543,plain,(
% 0.16/0.41 spl0_17 <=> sk_c5=sk_c6),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f545,plain,(
% 0.16/0.41 ~sk_c5=sk_c6|spl0_17),
% 0.16/0.41 inference(component_clause,[status(thm)],[f543])).
% 0.16/0.41 fof(f546,plain,(
% 0.16/0.41 spl0_18 <=> inverse(sk_c6)=sk_c7),
% 0.16/0.41 introduced(split_symbol_definition)).
% 0.16/0.41 fof(f548,plain,(
% 0.16/0.41 ~inverse(sk_c6)=sk_c7|spl0_18),
% 0.16/0.41 inference(component_clause,[status(thm)],[f546])).
% 0.16/0.41 fof(f549,plain,(
% 0.16/0.41 ~sk_c5=sk_c6|~inverse(sk_c6)=sk_c7|~spl0_11),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f25,f94])).
% 0.16/0.41 fof(f550,plain,(
% 0.16/0.41 ~spl0_17|~spl0_18|~spl0_11),
% 0.16/0.41 inference(split_clause,[status(thm)],[f549,f543,f546,f93])).
% 0.16/0.41 fof(f553,plain,(
% 0.16/0.41 ![X0]: (X0=multiply(sk_c6,multiply(sk_c1,X0))|~spl0_5)),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f64,f165])).
% 0.16/0.41 fof(f556,plain,(
% 0.16/0.41 multiply(sk_c6,sk_c2)=identity|~spl0_6),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f71,f23])).
% 0.16/0.41 fof(f559,plain,(
% 0.16/0.41 sk_c5=multiply(inverse(sk_c2),sk_c6)|~spl0_7),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f78,f165])).
% 0.16/0.41 fof(f560,plain,(
% 0.16/0.41 sk_c5=multiply(sk_c6,sk_c6)|~spl0_6|~spl0_7),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f71,f559])).
% 0.16/0.41 fof(f578,plain,(
% 0.16/0.41 sk_c6=multiply(sk_c6,sk_c7)|~spl0_5|~spl0_0),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f45,f553])).
% 0.16/0.41 fof(f579,plain,(
% 0.16/0.41 sk_c6=sk_c5|~spl0_5|~spl0_0),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f25,f578])).
% 0.16/0.41 fof(f583,plain,(
% 0.16/0.41 sk_c6=multiply(sk_c6,sk_c6)|~spl0_5|~spl0_0|~spl0_6|~spl0_7),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f579,f560])).
% 0.16/0.41 fof(f584,plain,(
% 0.16/0.41 multiply(sk_c6,sk_c7)=sk_c6|~spl0_5|~spl0_0),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f579,f25])).
% 0.16/0.41 fof(f587,plain,(
% 0.16/0.41 sk_c6=multiply(inverse(sk_c6),sk_c6)|~spl0_5|~spl0_0|~spl0_6|~spl0_7),
% 0.16/0.41 inference(paramodulation,[status(thm)],[f583,f165])).
% 0.16/0.41 fof(f588,plain,(
% 0.16/0.41 sk_c6=identity|~spl0_5|~spl0_0|~spl0_6|~spl0_7),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f23,f587])).
% 0.16/0.41 fof(f593,plain,(
% 0.16/0.41 identity=sk_c5|~spl0_6|~spl0_7|~spl0_5|~spl0_0),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f588,f579])).
% 0.16/0.41 fof(f596,plain,(
% 0.16/0.41 multiply(identity,sk_c2)=identity|~spl0_5|~spl0_0|~spl0_7|~spl0_6),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f588,f556])).
% 0.16/0.41 fof(f597,plain,(
% 0.16/0.41 sk_c2=identity|~spl0_5|~spl0_0|~spl0_7|~spl0_6),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f22,f596])).
% 0.16/0.41 fof(f603,plain,(
% 0.16/0.41 inverse(sk_c2)=identity|~spl0_5|~spl0_0|~spl0_7|~spl0_6),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f588,f71])).
% 0.16/0.41 fof(f607,plain,(
% 0.16/0.41 inverse(identity)=identity|~spl0_5|~spl0_0|~spl0_7|~spl0_6),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f597,f603])).
% 0.16/0.41 fof(f613,plain,(
% 0.16/0.41 multiply(identity,sk_c7)=sk_c6|~spl0_6|~spl0_7|~spl0_5|~spl0_0),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f588,f584])).
% 0.16/0.41 fof(f614,plain,(
% 0.16/0.41 sk_c7=sk_c6|~spl0_6|~spl0_7|~spl0_5|~spl0_0),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f22,f613])).
% 0.16/0.41 fof(f615,plain,(
% 0.16/0.41 sk_c7=identity|~spl0_6|~spl0_7|~spl0_5|~spl0_0),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f588,f614])).
% 0.16/0.41 fof(f711,plain,(
% 0.16/0.41 ~identity=sk_c6|~spl0_6|~spl0_7|~spl0_5|~spl0_0|spl0_17),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f593,f545])).
% 0.16/0.41 fof(f712,plain,(
% 0.16/0.41 ~identity=identity|~spl0_6|~spl0_7|~spl0_5|~spl0_0|spl0_17),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f588,f711])).
% 0.16/0.41 fof(f713,plain,(
% 0.16/0.41 $false|~spl0_6|~spl0_7|~spl0_5|~spl0_0|spl0_17),
% 0.16/0.41 inference(trivial_equality_resolution,[status(esa)],[f712])).
% 0.16/0.41 fof(f714,plain,(
% 0.16/0.41 ~spl0_6|~spl0_7|~spl0_5|~spl0_0|spl0_17),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f713])).
% 0.16/0.41 fof(f730,plain,(
% 0.16/0.41 ~inverse(identity)=sk_c7|~spl0_5|~spl0_0|~spl0_6|~spl0_7|spl0_18),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f588,f548])).
% 0.16/0.41 fof(f731,plain,(
% 0.16/0.41 ~identity=sk_c7|~spl0_5|~spl0_0|~spl0_6|~spl0_7|spl0_18),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f607,f730])).
% 0.16/0.41 fof(f732,plain,(
% 0.16/0.41 ~identity=identity|~spl0_5|~spl0_0|~spl0_6|~spl0_7|spl0_18),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f615,f731])).
% 0.16/0.41 fof(f733,plain,(
% 0.16/0.41 $false|~spl0_5|~spl0_0|~spl0_6|~spl0_7|spl0_18),
% 0.16/0.41 inference(trivial_equality_resolution,[status(esa)],[f732])).
% 0.16/0.41 fof(f734,plain,(
% 0.16/0.41 ~spl0_5|~spl0_0|~spl0_6|~spl0_7|spl0_18),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f733])).
% 0.16/0.41 fof(f772,plain,(
% 0.16/0.41 ![X0]: (X0=multiply(X0,identity))),
% 0.16/0.41 inference(backward_demodulation,[status(thm)],[f348,f349])).
% 0.16/0.41 fof(f799,plain,(
% 0.16/0.41 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c6|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_9)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f588,f88])).
% 0.16/0.41 fof(f800,plain,(
% 0.16/0.41 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c6|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_9)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f772,f799])).
% 0.16/0.41 fof(f801,plain,(
% 0.16/0.41 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_9)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f615,f800])).
% 0.16/0.41 fof(f802,plain,(
% 0.16/0.41 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_9)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f588,f801])).
% 0.16/0.41 fof(f803,plain,(
% 0.16/0.41 ~inverse(identity)=identity|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_9),
% 0.16/0.41 inference(destructive_equality_resolution,[status(esa)],[f802])).
% 0.16/0.41 fof(f804,plain,(
% 0.16/0.41 $false|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_9),
% 0.16/0.41 inference(forward_subsumption_resolution,[status(thm)],[f803,f607])).
% 0.16/0.41 fof(f805,plain,(
% 0.16/0.41 ~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_9),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f804])).
% 0.16/0.41 fof(f806,plain,(
% 0.16/0.41 ![X0]: (~multiply(X0,identity)=sk_c5|~inverse(X0)=sk_c6|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_12)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f588,f97])).
% 0.16/0.41 fof(f807,plain,(
% 0.16/0.41 ![X0]: (~X0=sk_c5|~inverse(X0)=sk_c6|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_12)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f772,f806])).
% 0.16/0.41 fof(f808,plain,(
% 0.16/0.41 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_12)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f593,f807])).
% 0.16/0.41 fof(f809,plain,(
% 0.16/0.41 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_12)),
% 0.16/0.41 inference(forward_demodulation,[status(thm)],[f588,f808])).
% 0.16/0.41 fof(f810,plain,(
% 0.16/0.41 ~inverse(identity)=identity|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_12),
% 0.16/0.41 inference(destructive_equality_resolution,[status(esa)],[f809])).
% 0.16/0.41 fof(f811,plain,(
% 0.16/0.41 $false|~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_12),
% 0.16/0.41 inference(forward_subsumption_resolution,[status(thm)],[f810,f607])).
% 0.16/0.41 fof(f812,plain,(
% 0.16/0.41 ~spl0_5|~spl0_0|~spl0_6|~spl0_7|~spl0_12),
% 0.16/0.41 inference(contradiction_clause,[status(thm)],[f811])).
% 0.16/0.41 fof(f813,plain,(
% 0.16/0.41 $false),
% 0.16/0.41 inference(sat_refutation,[status(thm)],[f50,f54,f58,f62,f66,f67,f68,f69,f73,f74,f75,f76,f80,f81,f82,f83,f99,f102,f106,f110,f114,f437,f540,f542,f550,f714,f734,f805,f812])).
% 0.16/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.42 % Elapsed time: 0.106138 seconds
% 0.16/0.42 % CPU time: 0.737266 seconds
% 0.16/0.42 % Total memory used: 74.882 MB
% 0.16/0.42 % Net memory used: 73.938 MB
%------------------------------------------------------------------------------