%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP343-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:28 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP343-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:13:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f1,axiom,(
% 0.15/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f2,axiom,(
% 0.15/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f3,axiom,(
% 0.15/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f4,negated_conjecture,(
% 0.15/0.42 multiply(sk_c8,sk_c9) = sk_c7 ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f5,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f6,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f7,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f8,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f9,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f10,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c5 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f11,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f12,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c9) = sk_c5 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f13,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f14,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f15,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f16,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f17,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f19,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f21,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f22,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f23,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f24,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f25,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f27,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f29,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f30,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f31,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f32,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f33,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f35,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c5) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f37,negated_conjecture,(
% 0.15/0.42 (![X3,X4,X1,X2,X5,X6]: (( multiply(sk_c8,sk_c9) != sk_c7| inverse(X3) != sk_c9| multiply(X3,sk_c8) != sk_c9| inverse(X4) != sk_c8| multiply(X4,sk_c7) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(sk_c9,sk_c7) != sk_c8| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8| inverse(X5) != X6| inverse(X6) != sk_c9| multiply(X5,sk_c9) != X6 ) ))),
% 0.15/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f38,plain,(
% 0.15/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.42 fof(f39,plain,(
% 0.15/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.42 fof(f40,plain,(
% 0.15/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.42 fof(f41,plain,(
% 0.15/0.42 multiply(sk_c8,sk_c9)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.42 fof(f42,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.42 fof(f43,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.42 fof(f44,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.42 fof(f45,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.42 fof(f46,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.42 fof(f47,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c5),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.42 fof(f48,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.42 fof(f49,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c9)=sk_c5),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.42 fof(f50,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.42 fof(f51,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.42 fof(f52,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.42 fof(f53,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.42 fof(f54,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.42 fof(f56,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/0.42 fof(f58,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/0.42 fof(f59,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.42 fof(f60,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/0.42 fof(f61,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/0.42 fof(f62,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.42 fof(f64,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.42 fof(f66,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/0.42 fof(f67,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.42 fof(f68,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.42 fof(f69,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/0.42 fof(f70,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.15/0.42 fof(f72,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c5)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f35])).
% 0.15/0.42 fof(f74,plain,(
% 0.15/0.42 ![X5,X6]: ((((![X2]: ((((![X1]: (((![X4]: (((![X3]: ((~multiply(sk_c8,sk_c9)=sk_c7|~inverse(X3)=sk_c9)|~multiply(X3,sk_c8)=sk_c9))|~inverse(X4)=sk_c8)|~multiply(X4,sk_c7)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(sk_c9,sk_c7)=sk_c8)|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8))|~inverse(X5)=X6)|~inverse(X6)=sk_c9)|~multiply(X5,sk_c9)=X6)),
% 0.15/0.42 inference(miniscoping,[status(thm)],[f37])).
% 0.15/0.42 fof(f75,plain,(
% 0.15/0.42 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c8,sk_c9)=sk_c7|~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~inverse(X1)=sk_c8|~multiply(X1,sk_c7)=sk_c8|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(sk_c9,sk_c7)=sk_c8|~multiply(X3,sk_c8)=sk_c9|~inverse(X3)=sk_c8|~inverse(X4)=X5|~inverse(X5)=sk_c9|~multiply(X4,sk_c9)=X5)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f74])).
% 0.15/0.42 fof(f76,definition,(
% 0.15/0.42 sQ0_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f77,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|~sQ0_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f76])).
% 0.15/0.42 fof(f79,definition,(
% 0.15/0.42 sQ1_spl <=> (multiply(sk_c3,sk_c9)=sk_c8)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f80,plain,(
% 0.15/0.42 multiply(sk_c3,sk_c9)=sk_c8|~sQ1_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f79])).
% 0.15/0.42 fof(f82,plain,(
% 0.15/0.42 sQ0_spl|sQ1_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f42,f76,f79])).
% 0.15/0.42 fof(f83,definition,(
% 0.15/0.42 sQ2_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f84,plain,(
% 0.15/0.42 inverse(sk_c3)=sk_c9|~sQ2_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f83])).
% 0.15/0.42 fof(f86,plain,(
% 0.15/0.42 sQ0_spl|sQ2_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f43,f76,f83])).
% 0.15/0.42 fof(f87,definition,(
% 0.15/0.42 sQ3_spl <=> (multiply(sk_c9,sk_c7)=sk_c8)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f88,plain,(
% 0.15/0.42 multiply(sk_c9,sk_c7)=sk_c8|~sQ3_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f87])).
% 0.15/0.42 fof(f89,plain,(
% 0.15/0.42 ~multiply(sk_c9,sk_c7)=sk_c8|sQ3_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f87])).
% 0.15/0.42 fof(f90,plain,(
% 0.15/0.42 sQ0_spl|sQ3_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f44,f76,f87])).
% 0.15/0.42 fof(f91,definition,(
% 0.15/0.42 sQ4_spl <=> (multiply(sk_c4,sk_c8)=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f92,plain,(
% 0.15/0.42 multiply(sk_c4,sk_c8)=sk_c9|~sQ4_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f91])).
% 0.15/0.42 fof(f94,plain,(
% 0.15/0.42 sQ0_spl|sQ4_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f45,f76,f91])).
% 0.15/0.42 fof(f95,definition,(
% 0.15/0.42 sQ5_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f96,plain,(
% 0.15/0.42 inverse(sk_c4)=sk_c8|~sQ5_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f95])).
% 0.15/0.42 fof(f98,plain,(
% 0.15/0.42 sQ0_spl|sQ5_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f46,f76,f95])).
% 0.15/0.42 fof(f99,definition,(
% 0.15/0.42 sQ6_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f100,plain,(
% 0.15/0.42 inverse(sk_c6)=sk_c5|~sQ6_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f99])).
% 0.15/0.42 fof(f102,plain,(
% 0.15/0.42 sQ0_spl|sQ6_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f47,f76,f99])).
% 0.15/0.42 fof(f103,definition,(
% 0.15/0.42 sQ7_spl <=> (inverse(sk_c5)=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f104,plain,(
% 0.15/0.42 inverse(sk_c5)=sk_c9|~sQ7_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f103])).
% 0.15/0.42 fof(f106,plain,(
% 0.15/0.42 sQ0_spl|sQ7_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f48,f76,f103])).
% 0.15/0.42 fof(f107,definition,(
% 0.15/0.42 sQ8_spl <=> (multiply(sk_c6,sk_c9)=sk_c5)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f108,plain,(
% 0.15/0.42 multiply(sk_c6,sk_c9)=sk_c5|~sQ8_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f107])).
% 0.15/0.42 fof(f110,plain,(
% 0.15/0.42 sQ0_spl|sQ8_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f49,f76,f107])).
% 0.15/0.42 fof(f111,definition,(
% 0.15/0.42 sQ9_spl <=> (multiply(sk_c1,sk_c8)=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f112,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c8)=sk_c9|~sQ9_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f111])).
% 0.15/0.42 fof(f113,plain,(
% 0.15/0.42 ~multiply(sk_c1,sk_c8)=sk_c9|sQ9_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f111])).
% 0.15/0.42 fof(f114,plain,(
% 0.15/0.42 sQ9_spl|sQ1_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f50,f111,f79])).
% 0.15/0.42 fof(f115,plain,(
% 0.15/0.42 sQ9_spl|sQ2_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f51,f111,f83])).
% 0.15/0.42 fof(f116,plain,(
% 0.15/0.42 sQ9_spl|sQ3_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f52,f111,f87])).
% 0.15/0.42 fof(f117,plain,(
% 0.15/0.42 sQ9_spl|sQ4_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f53,f111,f91])).
% 0.15/0.42 fof(f118,plain,(
% 0.15/0.42 sQ9_spl|sQ5_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f54,f111,f95])).
% 0.15/0.42 fof(f120,plain,(
% 0.15/0.42 sQ9_spl|sQ7_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f56,f111,f103])).
% 0.15/0.42 fof(f122,definition,(
% 0.15/0.42 sQ10_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f123,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|~sQ10_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f122])).
% 0.15/0.42 fof(f125,plain,(
% 0.15/0.42 sQ10_spl|sQ1_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f58,f122,f79])).
% 0.15/0.42 fof(f126,plain,(
% 0.15/0.42 sQ10_spl|sQ2_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f59,f122,f83])).
% 0.15/0.42 fof(f127,plain,(
% 0.15/0.42 sQ10_spl|sQ3_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f60,f122,f87])).
% 0.15/0.42 fof(f128,plain,(
% 0.15/0.42 sQ10_spl|sQ4_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f61,f122,f91])).
% 0.15/0.42 fof(f129,plain,(
% 0.15/0.42 sQ10_spl|sQ5_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f62,f122,f95])).
% 0.15/0.42 fof(f131,plain,(
% 0.15/0.42 sQ10_spl|sQ7_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f64,f122,f103])).
% 0.15/0.42 fof(f133,definition,(
% 0.15/0.42 sQ11_spl <=> (multiply(sk_c2,sk_c7)=sk_c8)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f134,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c7)=sk_c8|~sQ11_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.42 fof(f136,plain,(
% 0.15/0.42 sQ11_spl|sQ1_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f66,f133,f79])).
% 0.15/0.42 fof(f137,plain,(
% 0.15/0.42 sQ11_spl|sQ2_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f67,f133,f83])).
% 0.15/0.42 fof(f138,plain,(
% 0.15/0.42 sQ11_spl|sQ3_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f68,f133,f87])).
% 0.15/0.42 fof(f139,plain,(
% 0.15/0.42 sQ11_spl|sQ4_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f69,f133,f91])).
% 0.15/0.42 fof(f140,plain,(
% 0.15/0.42 sQ11_spl|sQ5_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f70,f133,f95])).
% 0.15/0.42 fof(f142,plain,(
% 0.15/0.42 sQ11_spl|sQ7_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f72,f133,f103])).
% 0.15/0.42 fof(f144,definition,(
% 0.15/0.42 sQ12_spl <=> (multiply(sk_c8,sk_c9)=sk_c7)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f146,plain,(
% 0.15/0.42 ~multiply(sk_c8,sk_c9)=sk_c7|sQ12_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f144])).
% 0.15/0.42 fof(f147,definition,(
% 0.15/0.42 ![X0]: (sQ13_spl <=> (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9))),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f148,plain,(
% 0.15/0.42 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ13_spl)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f147])).
% 0.15/0.42 fof(f150,definition,(
% 0.15/0.42 ![X1]: (sQ14_spl <=> (~inverse(X1)=sk_c8|~multiply(X1,sk_c7)=sk_c8))),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f151,plain,(
% 0.15/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ14_spl)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f150])).
% 0.15/0.42 fof(f153,definition,(
% 0.15/0.42 ![X2]: (sQ15_spl <=> (~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9))),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f154,plain,(
% 0.15/0.42 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ15_spl)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f153])).
% 0.15/0.42 fof(f156,definition,(
% 0.15/0.42 ![X3]: (sQ16_spl <=> (~multiply(X3,sk_c8)=sk_c9|~inverse(X3)=sk_c8))),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f157,plain,(
% 0.15/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ16_spl)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f156])).
% 0.15/0.42 fof(f159,definition,(
% 0.15/0.42 ![X4,X5]: (sQ17_spl <=> (~inverse(X4)=X5|~inverse(X5)=sk_c9|~multiply(X4,sk_c9)=X5))),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f160,plain,(
% 0.15/0.42 ![X0,X1]: (~inverse(X0)=X1|~inverse(X1)=sk_c9|~multiply(X0,sk_c9)=X1|~sQ17_spl)),
% 0.15/0.42 inference(component_clause,[status(thm)],[f159])).
% 0.15/0.42 fof(f162,plain,(
% 0.15/0.42 ~sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl|~sQ3_spl|sQ16_spl|sQ17_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f75,f144,f147,f150,f153,f87,f156,f159])).
% 0.15/0.42 fof(f163,plain,(
% 0.15/0.42 ![X0]: (~inverse(inverse(X0))=sk_c9|~multiply(X0,sk_c9)=inverse(X0)|~sQ17_spl)),
% 0.15/0.42 inference(destructive_equality_resolution,[status(thm)],[f160])).
% 0.15/0.42 fof(f186,plain,(
% 0.15/0.42 ~inverse(inverse(sk_c3))=sk_c9|~sk_c8=inverse(sk_c3)|~sQ17_spl|~sQ1_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f80,f163])).
% 0.15/0.42 fof(f187,plain,(
% 0.15/0.42 ~inverse(inverse(sk_c6))=sk_c9|~sk_c5=inverse(sk_c6)|~sQ17_spl|~sQ8_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f108,f163])).
% 0.15/0.42 fof(f188,plain,(
% 0.15/0.42 ~inverse(inverse(sk_c8))=sk_c9|~sk_c7=inverse(sk_c8)|~sQ17_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f41,f163])).
% 0.15/0.42 fof(f189,definition,(
% 0.15/0.42 sQ18_spl <=> (inverse(inverse(sk_c9))=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f191,plain,(
% 0.15/0.42 ~inverse(inverse(sk_c9))=sk_c9|sQ18_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f189])).
% 0.15/0.42 fof(f196,definition,(
% 0.15/0.42 sQ20_spl <=> (inverse(inverse(sk_c3))=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f198,plain,(
% 0.15/0.42 ~inverse(inverse(sk_c3))=sk_c9|sQ20_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f196])).
% 0.15/0.42 fof(f199,definition,(
% 0.15/0.42 sQ21_spl <=> (sk_c8=inverse(sk_c3))),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f200,plain,(
% 0.15/0.42 sk_c8=inverse(sk_c3)|~sQ21_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f199])).
% 0.15/0.42 fof(f201,plain,(
% 0.15/0.42 ~sk_c8=inverse(sk_c3)|sQ21_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f199])).
% 0.15/0.42 fof(f202,plain,(
% 0.15/0.42 ~sQ20_spl|~sQ21_spl|~sQ17_spl|~sQ1_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f186,f196,f199,f159,f79])).
% 0.15/0.42 fof(f203,definition,(
% 0.15/0.42 sQ22_spl <=> (inverse(inverse(sk_c6))=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f205,plain,(
% 0.15/0.42 ~inverse(inverse(sk_c6))=sk_c9|sQ22_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f203])).
% 0.15/0.42 fof(f206,plain,(
% 0.15/0.42 ~sQ22_spl|~sQ6_spl|~sQ17_spl|~sQ8_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f187,f203,f99,f159,f107])).
% 0.15/0.42 fof(f207,definition,(
% 0.15/0.42 sQ23_spl <=> (inverse(inverse(sk_c8))=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f209,plain,(
% 0.15/0.42 ~inverse(inverse(sk_c8))=sk_c9|sQ23_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f207])).
% 0.15/0.42 fof(f210,definition,(
% 0.15/0.42 sQ24_spl <=> (sk_c7=inverse(sk_c8))),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f212,plain,(
% 0.15/0.42 ~sk_c7=inverse(sk_c8)|sQ24_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f210])).
% 0.15/0.42 fof(f213,plain,(
% 0.15/0.42 ~sQ23_spl|~sQ24_spl|~sQ17_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f188,f207,f210,f159])).
% 0.15/0.42 fof(f214,plain,(
% 0.15/0.42 ~sk_c8=sk_c9|~sQ2_spl|sQ21_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f84,f201])).
% 0.15/0.42 fof(f218,plain,(
% 0.15/0.42 ~sk_c9=sk_c9|~inverse(sk_c1)=sk_c8|~sQ16_spl|~sQ9_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f112,f157])).
% 0.15/0.42 fof(f220,definition,(
% 0.15/0.42 sQ25_spl <=> (sk_c9=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f222,plain,(
% 0.15/0.42 ~sk_c9=sk_c9|sQ25_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f220])).
% 0.15/0.42 fof(f223,definition,(
% 0.15/0.42 sQ26_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f224,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c8|~sQ26_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f223])).
% 0.15/0.42 fof(f225,plain,(
% 0.15/0.42 ~inverse(sk_c1)=sk_c8|sQ26_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f223])).
% 0.15/0.42 fof(f226,plain,(
% 0.15/0.42 ~sQ25_spl|~sQ26_spl|~sQ16_spl|~sQ9_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f218,f220,f223,f156,f111])).
% 0.15/0.42 fof(f227,plain,(
% 0.15/0.42 ~sk_c9=sk_c8|~sQ0_spl|sQ26_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f77,f225])).
% 0.15/0.42 fof(f228,plain,(
% 0.15/0.42 $false|sQ25_spl),
% 0.15/0.42 inference(trivial_equality_resolution,[status(thm)],[f222])).
% 0.15/0.42 fof(f229,plain,(
% 0.15/0.42 sQ25_spl),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f228])).
% 0.15/0.42 fof(f232,plain,(
% 0.15/0.42 multiply(sk_c8,sk_c4)=identity|~sQ5_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f96,f39])).
% 0.15/0.42 fof(f236,plain,(
% 0.15/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f39,f40])).
% 0.15/0.42 fof(f237,plain,(
% 0.15/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f38,f236])).
% 0.15/0.42 fof(f249,plain,(
% 0.15/0.42 ~sk_c9=sk_c8|~inverse(identity)=sk_c9|~sQ15_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f38,f154])).
% 0.15/0.42 fof(f256,definition,(
% 0.15/0.42 sQ28_spl <=> (sk_c9=sk_c8)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f258,plain,(
% 0.15/0.42 ~sk_c9=sk_c8|sQ28_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f256])).
% 0.15/0.42 fof(f259,definition,(
% 0.15/0.42 sQ29_spl <=> (inverse(identity)=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f260,plain,(
% 0.15/0.42 inverse(identity)=sk_c9|~sQ29_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f259])).
% 0.15/0.42 fof(f261,plain,(
% 0.15/0.42 ~inverse(identity)=sk_c9|sQ29_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f259])).
% 0.15/0.42 fof(f262,plain,(
% 0.15/0.42 ~sQ28_spl|~sQ29_spl|~sQ15_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f249,f256,f259,f153])).
% 0.15/0.42 fof(f263,definition,(
% 0.15/0.42 sQ30_spl <=> (sk_c7=sk_c8)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f265,plain,(
% 0.15/0.42 ~sk_c7=sk_c8|sQ30_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f263])).
% 0.15/0.42 fof(f270,plain,(
% 0.15/0.42 ~inverse(sk_c2)=sk_c8|~sQ14_spl|~sQ11_spl),
% 0.15/0.42 inference(resolution,[status(thm)],[f151,f134])).
% 0.15/0.42 fof(f272,plain,(
% 0.15/0.42 ~inverse(identity)=sk_c8|~sk_c7=sk_c8|~sQ14_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f38,f151])).
% 0.15/0.42 fof(f275,plain,(
% 0.15/0.42 ~sk_c8=sk_c8|~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f123,f270])).
% 0.15/0.42 fof(f276,plain,(
% 0.15/0.42 $false|~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.15/0.42 inference(trivial_equality_resolution,[status(thm)],[f275])).
% 0.15/0.42 fof(f277,plain,(
% 0.15/0.42 ~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f276])).
% 0.15/0.42 fof(f278,plain,(
% 0.15/0.42 ~inverse(inverse(sk_c8))=sk_c9|~identity=sk_c9|~sQ13_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f39,f148])).
% 0.15/0.42 fof(f279,plain,(
% 0.15/0.42 ~inverse(identity)=sk_c9|~sk_c8=sk_c9|~sQ13_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f38,f148])).
% 0.15/0.42 fof(f281,definition,(
% 0.15/0.42 sQ32_spl <=> (identity=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f284,plain,(
% 0.15/0.42 ~sQ23_spl|~sQ32_spl|~sQ13_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f278,f207,f281,f147])).
% 0.15/0.42 fof(f285,plain,(
% 0.15/0.42 ~sQ29_spl|~sQ28_spl|~sQ13_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f279,f259,f256,f147])).
% 0.15/0.42 fof(f286,plain,(
% 0.15/0.42 ~sk_c7=sk_c7|sQ12_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f41,f146])).
% 0.15/0.42 fof(f287,plain,(
% 0.15/0.42 $false|sQ12_spl),
% 0.15/0.42 inference(trivial_equality_resolution,[status(thm)],[f286])).
% 0.15/0.42 fof(f288,plain,(
% 0.15/0.42 sQ12_spl),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f287])).
% 0.15/0.42 fof(f293,definition,(
% 0.15/0.42 sQ34_spl <=> (inverse(identity)=sk_c8)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f295,plain,(
% 0.15/0.42 ~inverse(identity)=sk_c8|sQ34_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f293])).
% 0.15/0.42 fof(f296,plain,(
% 0.15/0.42 ~sQ34_spl|~sQ30_spl|~sQ14_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f272,f293,f263,f150])).
% 0.15/0.42 fof(f301,plain,(
% 0.15/0.42 ~inverse(sk_c5)=sk_c9|~sQ6_spl|sQ22_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f100,f205])).
% 0.15/0.42 fof(f303,plain,(
% 0.15/0.42 ~sk_c9=sk_c9|~sQ7_spl|~sQ6_spl|sQ22_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f104,f301])).
% 0.15/0.42 fof(f304,plain,(
% 0.15/0.42 $false|~sQ7_spl|~sQ6_spl|sQ22_spl),
% 0.15/0.42 inference(trivial_equality_resolution,[status(thm)],[f303])).
% 0.15/0.42 fof(f305,plain,(
% 0.15/0.42 ~sQ7_spl|~sQ6_spl|sQ22_spl),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f304])).
% 0.15/0.42 fof(f311,plain,(
% 0.15/0.42 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c1,multiply(sk_c8,X0))|~sQ9_spl)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f112,f40])).
% 0.15/0.42 fof(f320,plain,(
% 0.15/0.42 sk_c8=multiply(inverse(sk_c1),sk_c9)|~sQ9_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f112,f237])).
% 0.15/0.42 fof(f322,plain,(
% 0.15/0.42 sk_c8=multiply(inverse(sk_c4),sk_c9)|~sQ4_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f92,f237])).
% 0.15/0.42 fof(f323,plain,(
% 0.15/0.42 sk_c9=multiply(inverse(sk_c3),sk_c8)|~sQ1_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f80,f237])).
% 0.15/0.42 fof(f324,plain,(
% 0.15/0.42 sk_c7=multiply(inverse(sk_c9),sk_c8)|~sQ3_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f88,f237])).
% 0.15/0.42 fof(f330,plain,(
% 0.15/0.42 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f38,f237])).
% 0.15/0.42 fof(f334,plain,(
% 0.15/0.42 sk_c9=multiply(inverse(sk_c8),sk_c7)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f41,f237])).
% 0.15/0.42 fof(f337,plain,(
% 0.15/0.42 sk_c8=multiply(sk_c9,sk_c9)|~sQ0_spl|~sQ9_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f77,f320])).
% 0.15/0.42 fof(f339,plain,(
% 0.15/0.42 sk_c8=multiply(sk_c8,sk_c9)|~sQ5_spl|~sQ4_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f96,f322])).
% 0.15/0.42 fof(f340,plain,(
% 0.15/0.42 sk_c8=sk_c7|~sQ5_spl|~sQ4_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f41,f339])).
% 0.15/0.42 fof(f341,plain,(
% 0.15/0.42 $false|sQ30_spl|~sQ5_spl|~sQ4_spl),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f340,f265])).
% 0.15/0.42 fof(f342,plain,(
% 0.15/0.42 sQ30_spl|~sQ5_spl|~sQ4_spl),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f341])).
% 0.15/0.42 fof(f343,plain,(
% 0.15/0.42 sk_c9=multiply(sk_c9,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f84,f323])).
% 0.15/0.42 fof(f345,plain,(
% 0.15/0.42 ~inverse(sk_c4)=sk_c9|~sQ13_spl|~sQ4_spl),
% 0.15/0.42 inference(resolution,[status(thm)],[f148,f92])).
% 0.15/0.42 fof(f346,plain,(
% 0.15/0.42 ~inverse(sk_c4)=sk_c9|~sk_c9=sk_c9|~sQ13_spl|~sQ4_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f92,f148])).
% 0.15/0.42 fof(f350,plain,(
% 0.15/0.42 ~sk_c8=sk_c9|~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f96,f345])).
% 0.15/0.42 fof(f351,definition,(
% 0.15/0.42 sQ36_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f354,plain,(
% 0.15/0.42 ~sQ36_spl|~sQ25_spl|~sQ13_spl|~sQ4_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f346,f351,f220,f147,f91])).
% 0.15/0.42 fof(f362,plain,(
% 0.15/0.42 ~sk_c9=sk_c7|~sQ5_spl|~sQ4_spl|sQ28_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f340,f258])).
% 0.15/0.42 fof(f367,plain,(
% 0.15/0.42 multiply(sk_c9,sk_c7)=sk_c7|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f340,f88])).
% 0.15/0.42 fof(f369,plain,(
% 0.15/0.42 ~inverse(identity)=sk_c7|~sQ5_spl|~sQ4_spl|sQ34_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f340,f295])).
% 0.15/0.42 fof(f372,plain,(
% 0.15/0.42 multiply(sk_c7,sk_c4)=identity|~sQ4_spl|~sQ5_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f340,f232])).
% 0.15/0.42 fof(f376,plain,(
% 0.15/0.42 inverse(sk_c4)=sk_c7|~sQ4_spl|~sQ5_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f340,f96])).
% 0.15/0.42 fof(f377,plain,(
% 0.15/0.42 ~sk_c7=sk_c9|~sQ5_spl|~sQ13_spl|~sQ4_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f340,f350])).
% 0.15/0.42 fof(f387,plain,(
% 0.15/0.42 sk_c9=multiply(sk_c9,sk_c7)|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f340,f343])).
% 0.15/0.42 fof(f388,plain,(
% 0.15/0.42 sk_c7=multiply(inverse(sk_c9),sk_c9)|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f387,f237])).
% 0.15/0.42 fof(f390,plain,(
% 0.15/0.42 sk_c7=identity|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f39,f388])).
% 0.15/0.42 fof(f395,plain,(
% 0.15/0.42 ~inverse(sk_c7)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ34_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f390,f369])).
% 0.15/0.42 fof(f402,plain,(
% 0.15/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f390,f39])).
% 0.15/0.42 fof(f403,plain,(
% 0.15/0.42 ![X0]: (multiply(sk_c7,X0)=X0|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f390,f38])).
% 0.15/0.42 fof(f418,plain,(
% 0.15/0.42 sk_c9=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f367,f387])).
% 0.15/0.42 fof(f422,plain,(
% 0.15/0.42 $false|~sQ13_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.42 inference(forward_subsumption_resolution,[status(thm)],[f418,f377])).
% 0.15/0.42 fof(f423,plain,(
% 0.15/0.42 ~sQ13_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f422])).
% 0.15/0.42 fof(f425,plain,(
% 0.15/0.42 ![X0]: (~multiply(X0,sk_c9)=sk_c7|~inverse(X0)=sk_c9|~sQ5_spl|~sQ4_spl|~sQ15_spl)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f340,f154])).
% 0.15/0.42 fof(f433,plain,(
% 0.15/0.42 inverse(sk_c5)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f418,f104])).
% 0.15/0.42 fof(f434,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f418,f77])).
% 0.15/0.42 fof(f440,plain,(
% 0.15/0.42 ~sk_c7=sk_c7|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ28_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f418,f362])).
% 0.15/0.42 fof(f441,plain,(
% 0.15/0.42 $false|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ28_spl),
% 0.15/0.42 inference(trivial_equality_resolution,[status(thm)],[f440])).
% 0.15/0.42 fof(f442,plain,(
% 0.15/0.42 ~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ28_spl),
% 0.15/0.42 inference(contradiction_clause,[status(thm)],[f441])).
% 0.15/0.42 fof(f443,plain,(
% 0.15/0.42 ~sQ28_spl|~sQ0_spl|sQ26_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f227,f256,f76,f223])).
% 0.15/0.42 fof(f446,plain,(
% 0.15/0.42 ~sQ28_spl|~sQ2_spl|sQ21_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f214,f256,f83,f199])).
% 0.15/0.42 fof(f476,plain,(
% 0.15/0.42 ![X0]: (X0=multiply(sk_c7,multiply(sk_c5,X0))|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl)),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f433,f237])).
% 0.15/0.42 fof(f477,plain,(
% 0.15/0.42 ![X0]: (X0=multiply(sk_c5,X0)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f403,f476])).
% 0.15/0.42 fof(f498,plain,(
% 0.15/0.42 sk_c7=sk_c4|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f499,f390])).
% 0.15/0.42 fof(f499,plain,(
% 0.15/0.42 sk_c4=identity|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f403,f372])).
% 0.15/0.42 fof(f503,plain,(
% 0.15/0.42 inverse(sk_c5)=sk_c4|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f498,f433])).
% 0.15/0.42 fof(f505,plain,(
% 0.15/0.42 ![X0]: (multiply(sk_c4,X0)=X0|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f498,f403])).
% 0.15/0.42 fof(f506,plain,(
% 0.15/0.42 ~inverse(sk_c7)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ34_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f498,f395])).
% 0.15/0.42 fof(f507,plain,(
% 0.15/0.42 sk_c9=sk_c4|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f498,f418])).
% 0.15/0.42 fof(f508,plain,(
% 0.15/0.42 inverse(sk_c4)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f498,f376])).
% 0.15/0.42 fof(f510,plain,(
% 0.15/0.42 sk_c8=sk_c4|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl),
% 0.15/0.42 inference(backward_demodulation,[status(thm)],[f498,f340])).
% 0.15/0.42 fof(f512,plain,(
% 0.15/0.42 ~inverse(sk_c4)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ34_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f498,f506])).
% 0.15/0.42 fof(f519,plain,(
% 0.15/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f498,f402])).
% 0.15/0.42 fof(f521,plain,(
% 0.15/0.42 multiply(sk_c4,sk_c5)=sk_c4|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.15/0.42 inference(paramodulation,[status(thm)],[f503,f519])).
% 0.15/0.42 fof(f526,plain,(
% 0.15/0.42 sk_c5=sk_c4|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f505,f521])).
% 0.15/0.42 fof(f529,plain,(
% 0.15/0.42 ![X0]: (~multiply(X0,sk_c4)=sk_c7|~inverse(X0)=sk_c9|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ15_spl)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f507,f425])).
% 0.15/0.42 fof(f530,plain,(
% 0.15/0.42 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c9|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ15_spl)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f498,f529])).
% 0.15/0.42 fof(f531,plain,(
% 0.15/0.42 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c4|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ15_spl)),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f507,f530])).
% 0.15/0.42 fof(f535,plain,(
% 0.15/0.42 ~inverse(sk_c5)=sk_c4|~sQ15_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.15/0.42 inference(resolution,[status(thm)],[f531,f477])).
% 0.15/0.42 fof(f543,plain,(
% 0.15/0.42 ~sk_c4=sk_c4|~sQ15_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.15/0.42 inference(forward_demodulation,[status(thm)],[f503,f535])).
% 0.15/0.42 fof(f544,plain,(
% 0.15/0.42 $false|~sQ15_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f543])).
% 0.15/0.43 fof(f545,plain,(
% 0.15/0.43 ~sQ15_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f544])).
% 0.15/0.43 fof(f561,plain,(
% 0.15/0.43 sk_c8=sk_c5|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f526,f510])).
% 0.15/0.43 fof(f562,plain,(
% 0.15/0.43 sk_c9=sk_c5|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f526,f507])).
% 0.15/0.43 fof(f563,plain,(
% 0.15/0.43 sk_c7=sk_c5|~sQ3_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f526,f498])).
% 0.15/0.43 fof(f568,plain,(
% 0.15/0.43 ~inverse(sk_c5)=sk_c4|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ34_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f526,f512])).
% 0.15/0.43 fof(f569,plain,(
% 0.15/0.43 ~inverse(sk_c5)=sk_c5|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ34_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f526,f568])).
% 0.15/0.43 fof(f570,plain,(
% 0.15/0.43 inverse(sk_c5)=sk_c4|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f526,f508])).
% 0.15/0.43 fof(f571,plain,(
% 0.15/0.43 inverse(sk_c5)=sk_c5|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f526,f570])).
% 0.15/0.43 fof(f572,plain,(
% 0.15/0.43 $false|sQ34_spl|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f571,f569])).
% 0.15/0.43 fof(f573,plain,(
% 0.15/0.43 sQ34_spl|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f572])).
% 0.15/0.43 fof(f578,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c5)=sk_c9|~inverse(X0)=sk_c8|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ16_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f561,f157])).
% 0.15/0.43 fof(f579,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c8|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ16_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f562,f578])).
% 0.15/0.43 fof(f580,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c5|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ16_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f561,f579])).
% 0.15/0.43 fof(f648,definition,(
% 0.15/0.43 sQ38_spl <=> (sk_c2=sk_c2)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f650,plain,(
% 0.15/0.43 ~sk_c2=sk_c2|sQ38_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f648])).
% 0.15/0.43 fof(f659,plain,(
% 0.15/0.43 $false|sQ38_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f650])).
% 0.15/0.43 fof(f660,plain,(
% 0.15/0.43 sQ38_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f659])).
% 0.15/0.43 fof(f669,plain,(
% 0.15/0.43 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f237,f330])).
% 0.15/0.43 fof(f671,plain,(
% 0.15/0.43 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f330,f237])).
% 0.15/0.43 fof(f678,plain,(
% 0.15/0.43 sk_c7=multiply(inverse(sk_c2),sk_c8)|~sQ11_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f134,f237])).
% 0.15/0.43 fof(f680,plain,(
% 0.15/0.43 sk_c7=multiply(sk_c8,sk_c8)|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f123,f678])).
% 0.15/0.43 fof(f717,plain,(
% 0.15/0.43 sk_c8=multiply(inverse(sk_c8),sk_c7)|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f680,f237])).
% 0.15/0.43 fof(f722,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c9)=multiply(sk_c1,sk_c7)|~sQ9_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f41,f311])).
% 0.15/0.43 fof(f725,plain,(
% 0.15/0.43 sk_c8=multiply(sk_c1,sk_c7)|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f337,f722])).
% 0.15/0.43 fof(f729,plain,(
% 0.15/0.43 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f725,f237])).
% 0.15/0.43 fof(f731,plain,(
% 0.15/0.43 sk_c7=multiply(sk_c9,sk_c8)|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f77,f729])).
% 0.15/0.43 fof(f780,plain,(
% 0.15/0.43 inverse(identity)=identity),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f39,f671])).
% 0.15/0.43 fof(f788,plain,(
% 0.15/0.43 ~identity=sk_c9|sQ29_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f780,f261])).
% 0.15/0.43 fof(f799,plain,(
% 0.15/0.43 sk_c8=sk_c9|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f334,f717])).
% 0.15/0.43 fof(f800,plain,(
% 0.15/0.43 $false|sQ28_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f799,f258])).
% 0.15/0.43 fof(f801,plain,(
% 0.15/0.43 sQ28_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f800])).
% 0.15/0.43 fof(f802,plain,(
% 0.15/0.43 sk_c9=sk_c8|~sQ0_spl|~sQ26_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f77,f224])).
% 0.15/0.43 fof(f847,plain,(
% 0.15/0.43 inverse(sk_c5)=sk_c4|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f526,f508])).
% 0.15/0.43 fof(f848,plain,(
% 0.15/0.43 inverse(sk_c5)=sk_c5|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f526,f847])).
% 0.15/0.43 fof(f856,plain,(
% 0.15/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ3_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f526,f519])).
% 0.15/0.43 fof(f862,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c5,X0)=X0|~sQ3_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f526,f505])).
% 0.15/0.43 fof(f871,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c5|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f563,f434])).
% 0.15/0.43 fof(f872,plain,(
% 0.15/0.43 multiply(sk_c5,sk_c1)=sk_c5|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f871,f856])).
% 0.15/0.43 fof(f874,plain,(
% 0.15/0.43 sk_c1=sk_c5|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f862,f872])).
% 0.15/0.43 fof(f928,plain,(
% 0.15/0.43 ~multiply(sk_c5,sk_c8)=sk_c9|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f874,f113])).
% 0.15/0.43 fof(f929,plain,(
% 0.15/0.43 ~sk_c8=sk_c9|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f862,f928])).
% 0.15/0.43 fof(f930,plain,(
% 0.15/0.43 ~sk_c5=sk_c9|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f561,f929])).
% 0.15/0.43 fof(f931,plain,(
% 0.15/0.43 ~sk_c5=sk_c5|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f562,f930])).
% 0.15/0.43 fof(f932,plain,(
% 0.15/0.43 $false|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ9_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f931])).
% 0.15/0.43 fof(f933,plain,(
% 0.15/0.43 ~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ9_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f932])).
% 0.15/0.43 fof(f961,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c5))=sk_c5|~sQ16_spl|~sQ3_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.43 inference(resolution,[status(thm)],[f580,f856])).
% 0.15/0.43 fof(f966,plain,(
% 0.15/0.43 ~inverse(sk_c5)=sk_c5|~sQ16_spl|~sQ3_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f848,f961])).
% 0.15/0.43 fof(f967,plain,(
% 0.15/0.43 ~sk_c5=sk_c5|~sQ16_spl|~sQ3_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f848,f966])).
% 0.15/0.43 fof(f968,plain,(
% 0.15/0.43 $false|~sQ16_spl|~sQ3_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f967])).
% 0.15/0.43 fof(f969,plain,(
% 0.15/0.43 ~sQ16_spl|~sQ3_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f968])).
% 0.15/0.43 fof(f973,plain,(
% 0.15/0.43 ~sk_c7=inverse(sk_c9)|~sQ0_spl|~sQ26_spl|sQ24_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f802,f212])).
% 0.15/0.43 fof(f974,plain,(
% 0.15/0.43 sk_c9=inverse(sk_c3)|~sQ0_spl|~sQ26_spl|~sQ21_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f802,f200])).
% 0.15/0.43 fof(f994,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c9)=sk_c7|~sQ0_spl|~sQ26_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f802,f41])).
% 0.15/0.43 fof(f1000,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c9))=sk_c9|~sQ0_spl|~sQ26_spl|sQ23_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f802,f209])).
% 0.15/0.43 fof(f1003,plain,(
% 0.15/0.43 ~inverse(sk_c9)=sk_c9|~sQ0_spl|~sQ26_spl|~sQ21_spl|sQ20_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f974,f198])).
% 0.15/0.43 fof(f1007,plain,(
% 0.15/0.43 sk_c9=multiply(sk_c9,sk_c9)|~sQ0_spl|~sQ26_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f802,f343])).
% 0.15/0.43 fof(f1018,plain,(
% 0.15/0.43 ~sk_c7=inverse(sk_c7)|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ26_spl|sQ24_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f1024,f973])).
% 0.15/0.43 fof(f1022,plain,(
% 0.15/0.43 sk_c7=sk_c8|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ26_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f1024,f802])).
% 0.15/0.43 fof(f1023,plain,(
% 0.15/0.43 ~identity=sk_c7|~sQ0_spl|~sQ26_spl|~sQ2_spl|~sQ1_spl|sQ29_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f1024,f788])).
% 0.15/0.43 fof(f1024,plain,(
% 0.15/0.43 sk_c9=sk_c7|~sQ0_spl|~sQ26_spl|~sQ2_spl|~sQ1_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f994,f1007])).
% 0.15/0.43 fof(f1045,plain,(
% 0.15/0.43 sk_c7=multiply(sk_c9,sk_c9)|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1022,f337])).
% 0.15/0.43 fof(f1046,plain,(
% 0.15/0.43 sk_c7=multiply(sk_c7,sk_c9)|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1024,f1045])).
% 0.15/0.43 fof(f1047,plain,(
% 0.15/0.43 sk_c7=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1024,f1046])).
% 0.15/0.43 fof(f1048,plain,(
% 0.15/0.43 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f1047,f237])).
% 0.15/0.43 fof(f1050,plain,(
% 0.15/0.43 sk_c7=identity|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f39,f1048])).
% 0.15/0.43 fof(f1051,plain,(
% 0.15/0.43 $false|sQ29_spl|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1050,f1023])).
% 0.15/0.43 fof(f1052,plain,(
% 0.15/0.43 sQ29_spl|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f1051])).
% 0.15/0.43 fof(f1053,plain,(
% 0.15/0.43 inverse(identity)=sk_c7|~sQ0_spl|~sQ26_spl|~sQ2_spl|~sQ1_spl|~sQ29_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1024,f260])).
% 0.15/0.43 fof(f1055,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c7,X0)=X0|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl)),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f1050,f669])).
% 0.15/0.43 fof(f1057,plain,(
% 0.15/0.43 inverse(identity)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f1050,f780])).
% 0.15/0.43 fof(f1058,plain,(
% 0.15/0.43 inverse(sk_c7)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1050,f1057])).
% 0.15/0.43 fof(f1059,plain,(
% 0.15/0.43 $false|sQ24_spl|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1058,f1018])).
% 0.15/0.43 fof(f1060,plain,(
% 0.15/0.43 sQ24_spl|~sQ2_spl|~sQ1_spl|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f1059])).
% 0.15/0.43 fof(f1063,plain,(
% 0.15/0.43 inverse(sk_c7)=sk_c7|~sQ9_spl|~sQ0_spl|~sQ26_spl|~sQ2_spl|~sQ1_spl|~sQ29_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1050,f1053])).
% 0.15/0.43 fof(f1069,plain,(
% 0.15/0.43 ~multiply(sk_c7,sk_c7)=sk_c8|~sQ0_spl|~sQ26_spl|~sQ2_spl|~sQ1_spl|sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1024,f89])).
% 0.15/0.43 fof(f1070,plain,(
% 0.15/0.43 ~sk_c7=sk_c8|~sQ9_spl|~sQ0_spl|~sQ26_spl|~sQ2_spl|~sQ1_spl|sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1055,f1069])).
% 0.15/0.43 fof(f1071,plain,(
% 0.15/0.43 ~sk_c7=sk_c7|~sQ9_spl|~sQ0_spl|~sQ26_spl|~sQ2_spl|~sQ1_spl|sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1022,f1070])).
% 0.15/0.43 fof(f1072,plain,(
% 0.15/0.43 $false|~sQ9_spl|~sQ0_spl|~sQ26_spl|~sQ2_spl|~sQ1_spl|sQ3_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f1071])).
% 0.15/0.43 fof(f1073,plain,(
% 0.15/0.43 ~sQ9_spl|~sQ0_spl|~sQ26_spl|~sQ2_spl|~sQ1_spl|sQ3_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f1072])).
% 0.15/0.43 fof(f1127,plain,(
% 0.15/0.43 ~inverse(sk_c7)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ26_spl|~sQ21_spl|sQ20_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1024,f1003])).
% 0.15/0.43 fof(f1128,plain,(
% 0.15/0.43 ~sk_c7=sk_c9|~sQ9_spl|~sQ29_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ26_spl|~sQ21_spl|sQ20_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1063,f1127])).
% 0.15/0.43 fof(f1129,plain,(
% 0.15/0.43 ~sk_c7=sk_c7|~sQ9_spl|~sQ29_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ26_spl|~sQ21_spl|sQ20_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1024,f1128])).
% 0.15/0.43 fof(f1130,plain,(
% 0.15/0.43 $false|~sQ9_spl|~sQ29_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ26_spl|~sQ21_spl|sQ20_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f1129])).
% 0.15/0.43 fof(f1131,plain,(
% 0.15/0.43 ~sQ9_spl|~sQ29_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ26_spl|~sQ21_spl|sQ20_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f1130])).
% 0.15/0.43 fof(f1145,plain,(
% 0.15/0.43 sk_c7=multiply(sk_c9,sk_c9)|~sQ26_spl|~sQ0_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f802,f731])).
% 0.15/0.43 fof(f1148,plain,(
% 0.15/0.43 ~multiply(sk_c9,sk_c7)=sk_c9|~sQ0_spl|~sQ26_spl|sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f802,f89])).
% 0.15/0.43 fof(f1149,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c9)=sk_c9|~sQ0_spl|~sQ26_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f802,f112])).
% 0.15/0.43 fof(f1150,plain,(
% 0.15/0.43 sk_c9=multiply(inverse(sk_c1),sk_c9)|~sQ0_spl|~sQ26_spl|~sQ9_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f1149,f237])).
% 0.15/0.43 fof(f1152,plain,(
% 0.15/0.43 sk_c9=multiply(sk_c9,sk_c9)|~sQ0_spl|~sQ26_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f77,f1150])).
% 0.15/0.43 fof(f1153,plain,(
% 0.15/0.43 sk_c9=sk_c7|~sQ0_spl|~sQ26_spl|~sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1145,f1152])).
% 0.15/0.43 fof(f1155,plain,(
% 0.15/0.43 ~multiply(sk_c9,sk_c7)=sk_c7|~sQ9_spl|~sQ0_spl|~sQ26_spl|sQ3_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f1153,f1148])).
% 0.15/0.43 fof(f1166,plain,(
% 0.15/0.43 ~identity=sk_c7|~sQ0_spl|~sQ26_spl|~sQ9_spl|sQ29_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f1153,f788])).
% 0.15/0.43 fof(f1167,plain,(
% 0.15/0.43 sk_c7=sk_c8|~sQ9_spl|~sQ0_spl|~sQ26_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f1153,f802])).
% 0.15/0.43 fof(f1170,plain,(
% 0.15/0.43 ~multiply(sk_c7,sk_c7)=sk_c7|~sQ9_spl|~sQ0_spl|~sQ26_spl|sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1153,f1155])).
% 0.15/0.43 fof(f1179,plain,(
% 0.15/0.43 sk_c7=multiply(sk_c7,sk_c8)|~sQ9_spl|~sQ0_spl|~sQ26_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1167,f680])).
% 0.15/0.43 fof(f1180,plain,(
% 0.15/0.43 sk_c7=multiply(sk_c7,sk_c7)|~sQ9_spl|~sQ0_spl|~sQ26_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1167,f1179])).
% 0.15/0.43 fof(f1203,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c7))=sk_c9|~sQ0_spl|~sQ26_spl|~sQ9_spl|sQ18_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1153,f191])).
% 0.15/0.43 fof(f1204,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c7))=sk_c7|~sQ0_spl|~sQ26_spl|~sQ9_spl|sQ18_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1153,f1203])).
% 0.15/0.43 fof(f1215,plain,(
% 0.15/0.43 ~sk_c7=sk_c7|~sQ10_spl|~sQ11_spl|~sQ9_spl|~sQ0_spl|~sQ26_spl|sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1180,f1170])).
% 0.15/0.43 fof(f1216,plain,(
% 0.15/0.43 $false|~sQ10_spl|~sQ11_spl|~sQ9_spl|~sQ0_spl|~sQ26_spl|sQ3_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f1215])).
% 0.15/0.43 fof(f1217,plain,(
% 0.15/0.43 ~sQ10_spl|~sQ11_spl|~sQ9_spl|~sQ0_spl|~sQ26_spl|sQ3_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f1216])).
% 0.15/0.43 fof(f1220,plain,(
% 0.15/0.43 sk_c7=multiply(inverse(sk_c7),sk_c8)|~sQ0_spl|~sQ26_spl|~sQ9_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1153,f324])).
% 0.15/0.43 fof(f1221,plain,(
% 0.15/0.43 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ0_spl|~sQ26_spl|~sQ9_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1167,f1220])).
% 0.15/0.43 fof(f1222,plain,(
% 0.15/0.43 sk_c7=identity|~sQ0_spl|~sQ26_spl|~sQ9_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f39,f1221])).
% 0.15/0.43 fof(f1223,plain,(
% 0.15/0.43 $false|sQ29_spl|~sQ0_spl|~sQ26_spl|~sQ9_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1222,f1166])).
% 0.15/0.43 fof(f1224,plain,(
% 0.15/0.43 sQ29_spl|~sQ0_spl|~sQ26_spl|~sQ9_spl|~sQ3_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f1223])).
% 0.15/0.43 fof(f1239,plain,(
% 0.15/0.43 inverse(identity)=sk_c7|~sQ0_spl|~sQ26_spl|~sQ9_spl|~sQ29_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1153,f260])).
% 0.15/0.43 fof(f1253,plain,(
% 0.15/0.43 inverse(sk_c7)=sk_c7|~sQ3_spl|~sQ0_spl|~sQ26_spl|~sQ9_spl|~sQ29_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1222,f1239])).
% 0.15/0.43 fof(f1258,plain,(
% 0.15/0.43 ~inverse(sk_c7)=sk_c7|~sQ3_spl|~sQ29_spl|~sQ0_spl|~sQ26_spl|~sQ9_spl|sQ18_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1253,f1204])).
% 0.15/0.43 fof(f1259,plain,(
% 0.15/0.43 ~sk_c7=sk_c7|~sQ3_spl|~sQ29_spl|~sQ0_spl|~sQ26_spl|~sQ9_spl|sQ18_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1253,f1258])).
% 0.15/0.43 fof(f1260,plain,(
% 0.15/0.43 $false|~sQ3_spl|~sQ29_spl|~sQ0_spl|~sQ26_spl|~sQ9_spl|sQ18_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f1259])).
% 0.15/0.43 fof(f1261,plain,(
% 0.15/0.43 ~sQ3_spl|~sQ29_spl|~sQ0_spl|~sQ26_spl|~sQ9_spl|sQ18_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f1260])).
% 0.15/0.43 fof(f1264,plain,(
% 0.15/0.43 ~sQ18_spl|~sQ0_spl|~sQ26_spl|sQ23_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f1000,f189,f76,f223,f207])).
% 0.15/0.43 fof(f1271,plain,(
% 0.15/0.43 ~sk_c7=inverse(sk_c7)|~sQ9_spl|~sQ0_spl|~sQ26_spl|sQ24_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1153,f973])).
% 0.15/0.43 fof(f1272,plain,(
% 0.15/0.43 ~sk_c7=sk_c7|~sQ3_spl|~sQ29_spl|~sQ9_spl|~sQ0_spl|~sQ26_spl|sQ24_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f1253,f1271])).
% 0.15/0.43 fof(f1273,plain,(
% 0.15/0.43 $false|~sQ3_spl|~sQ29_spl|~sQ9_spl|~sQ0_spl|~sQ26_spl|sQ24_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f1272])).
% 0.15/0.43 fof(f1274,plain,(
% 0.15/0.43 ~sQ3_spl|~sQ29_spl|~sQ9_spl|~sQ0_spl|~sQ26_spl|sQ24_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f1273])).
% 0.15/0.43 fof(f1275,plain,(
% 0.15/0.43 $false),
% 0.15/0.43 inference(sat_refutation,[status(thm)],[f82,f86,f90,f94,f98,f102,f106,f110,f114,f115,f116,f117,f118,f120,f125,f126,f127,f128,f129,f131,f136,f137,f138,f139,f140,f142,f162,f202,f206,f213,f226,f229,f262,f277,f284,f285,f288,f296,f305,f342,f354,f423,f442,f443,f446,f545,f573,f660,f801,f933,f969,f1052,f1060,f1073,f1131,f1217,f1224,f1261,f1264,f1274])).
% 0.15/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.45 % Elapsed time: 0.073608 seconds
% 0.15/0.45 % CPU time: 0.282327 seconds
% 0.15/0.45 % Total memory used: 106.636 MB
% 0.15/0.45 % Net memory used: 106.448 MB
%------------------------------------------------------------------------------