%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP219-1 : 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 : n020.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 12:36:16 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP219-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:07:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.42 fof(f1,axiom,(
% 0.09/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f2,axiom,(
% 0.09/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f3,axiom,(
% 0.09/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f4,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f5,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f6,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f7,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c7) = sk_c8 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f8,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f9,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f10,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f11,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c7) = sk_c8 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f13,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f14,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f15,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c7) = sk_c8 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f17,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c2) = sk_c3| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f18,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c2) = sk_c3| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f19,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c2) = sk_c3| inverse(sk_c7) = sk_c8 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f21,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c3,sk_c9) = sk_c8| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f22,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c3,sk_c9) = sk_c8| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f23,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c3,sk_c9) = sk_c8| inverse(sk_c7) = sk_c8 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f24,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c9,sk_c5) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f25,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c9,sk_c5) = sk_c8| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f26,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c9,sk_c5) = sk_c8| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f27,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c9,sk_c5) = sk_c8| inverse(sk_c7) = sk_c8 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f28,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c4,sk_c9) = sk_c5| inverse(sk_c6) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f29,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c4,sk_c9) = sk_c5| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f30,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c4,sk_c9) = sk_c5| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f31,negated_conjecture,(
% 0.09/0.42 ( multiply(sk_c4,sk_c9) = sk_c5| inverse(sk_c7) = sk_c8 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f32,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c4) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f33,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c4) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f34,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c4) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f35,negated_conjecture,(
% 0.09/0.42 ( inverse(sk_c4) = sk_c9| inverse(sk_c7) = sk_c8 ) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f36,negated_conjecture,(
% 0.09/0.42 (![X3,X4,X5,X6,X7,X1,X2]: (( inverse(X3) != sk_c9| multiply(X3,sk_c8) != sk_c9| multiply(X4,X5) != sk_c8| inverse(X4) != X5| multiply(X5,sk_c9) != sk_c8| multiply(sk_c9,X6) != sk_c8| multiply(X7,sk_c9) != X6| inverse(X7) != sk_c9| inverse(X1) != sk_c9| multiply(X1,sk_c8) != sk_c9| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8 ) ))),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f37,plain,(
% 0.09/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.42 fof(f38,plain,(
% 0.09/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.42 fof(f39,plain,(
% 0.09/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.42 fof(f40,plain,(
% 0.09/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.42 fof(f41,plain,(
% 0.09/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.42 fof(f42,plain,(
% 0.09/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.42 fof(f43,plain,(
% 0.09/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c7)=sk_c8),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.42 fof(f44,plain,(
% 0.09/0.42 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.42 fof(f45,plain,(
% 0.09/0.42 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.42 fof(f46,plain,(
% 0.09/0.42 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.42 fof(f47,plain,(
% 0.09/0.42 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c7)=sk_c8),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.42 fof(f49,plain,(
% 0.09/0.42 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c6,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.42 fof(f50,plain,(
% 0.09/0.42 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c7,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.42 fof(f51,plain,(
% 0.09/0.42 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c7)=sk_c8),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.42 fof(f53,plain,(
% 0.09/0.42 inverse(sk_c2)=sk_c3|multiply(sk_c6,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.42 fof(f54,plain,(
% 0.09/0.42 inverse(sk_c2)=sk_c3|multiply(sk_c7,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.42 fof(f55,plain,(
% 0.09/0.42 inverse(sk_c2)=sk_c3|inverse(sk_c7)=sk_c8),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.42 fof(f57,plain,(
% 0.09/0.42 multiply(sk_c3,sk_c9)=sk_c8|multiply(sk_c6,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.42 fof(f58,plain,(
% 0.09/0.42 multiply(sk_c3,sk_c9)=sk_c8|multiply(sk_c7,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.42 fof(f59,plain,(
% 0.09/0.42 multiply(sk_c3,sk_c9)=sk_c8|inverse(sk_c7)=sk_c8),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.42 fof(f60,plain,(
% 0.09/0.42 multiply(sk_c9,sk_c5)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.42 fof(f61,plain,(
% 0.09/0.42 multiply(sk_c9,sk_c5)=sk_c8|multiply(sk_c6,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.42 fof(f62,plain,(
% 0.09/0.42 multiply(sk_c9,sk_c5)=sk_c8|multiply(sk_c7,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.42 fof(f63,plain,(
% 0.09/0.42 multiply(sk_c9,sk_c5)=sk_c8|inverse(sk_c7)=sk_c8),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.42 fof(f64,plain,(
% 0.09/0.42 multiply(sk_c4,sk_c9)=sk_c5|inverse(sk_c6)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.42 fof(f65,plain,(
% 0.09/0.42 multiply(sk_c4,sk_c9)=sk_c5|multiply(sk_c6,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.42 fof(f66,plain,(
% 0.09/0.42 multiply(sk_c4,sk_c9)=sk_c5|multiply(sk_c7,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.42 fof(f67,plain,(
% 0.09/0.42 multiply(sk_c4,sk_c9)=sk_c5|inverse(sk_c7)=sk_c8),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.42 fof(f68,plain,(
% 0.09/0.42 inverse(sk_c4)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.42 fof(f69,plain,(
% 0.09/0.42 inverse(sk_c4)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.09/0.42 fof(f70,plain,(
% 0.09/0.42 inverse(sk_c4)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.42 fof(f71,plain,(
% 0.09/0.42 inverse(sk_c4)=sk_c9|inverse(sk_c7)=sk_c8),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f35])).
% 0.09/0.42 fof(f72,plain,(
% 0.09/0.42 ![X2]: (((![X1]: (((![X7]: ((![X6]: (((![X5]: ((![X4]: (((![X3]: (~inverse(X3)=sk_c9|~multiply(X3,sk_c8)=sk_c9))|~multiply(X4,X5)=sk_c8)|~inverse(X4)=X5))|~multiply(X5,sk_c9)=sk_c8))|~multiply(sk_c9,X6)=sk_c8)|~multiply(X7,sk_c9)=X6))|~inverse(X7)=sk_c9))|~inverse(X1)=sk_c9)|~multiply(X1,sk_c8)=sk_c9))|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8)),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f36])).
% 0.09/0.42 fof(f73,plain,(
% 0.09/0.42 ![X0,X1,X2,X3,X4,X5,X6]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~multiply(X2,sk_c9)=sk_c8|~multiply(sk_c9,X3)=sk_c8|~multiply(X4,sk_c9)=X3|~inverse(X4)=sk_c9|~inverse(X5)=sk_c9|~multiply(X5,sk_c8)=sk_c9|~multiply(X6,sk_c8)=sk_c9|~inverse(X6)=sk_c8)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f72])).
% 0.09/0.42 fof(f74,definition,(
% 0.09/0.42 sQ0_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f75,plain,(
% 0.09/0.42 inverse(sk_c1)=sk_c9|~sQ0_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f74])).
% 0.09/0.42 fof(f77,definition,(
% 0.09/0.42 sQ1_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f78,plain,(
% 0.09/0.42 inverse(sk_c6)=sk_c9|~sQ1_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f77])).
% 0.09/0.42 fof(f80,plain,(
% 0.09/0.42 sQ0_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f40,f74,f77])).
% 0.09/0.42 fof(f81,definition,(
% 0.09/0.42 sQ2_spl <=> (multiply(sk_c6,sk_c8)=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f82,plain,(
% 0.09/0.42 multiply(sk_c6,sk_c8)=sk_c9|~sQ2_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f81])).
% 0.09/0.42 fof(f84,plain,(
% 0.09/0.42 sQ0_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f41,f74,f81])).
% 0.09/0.42 fof(f85,definition,(
% 0.09/0.42 sQ3_spl <=> (multiply(sk_c7,sk_c8)=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f86,plain,(
% 0.09/0.42 multiply(sk_c7,sk_c8)=sk_c9|~sQ3_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f85])).
% 0.09/0.42 fof(f88,plain,(
% 0.09/0.42 sQ0_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f42,f74,f85])).
% 0.09/0.42 fof(f89,definition,(
% 0.09/0.42 sQ4_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f90,plain,(
% 0.09/0.42 inverse(sk_c7)=sk_c8|~sQ4_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f89])).
% 0.09/0.42 fof(f92,plain,(
% 0.09/0.42 sQ0_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f43,f74,f89])).
% 0.09/0.42 fof(f93,definition,(
% 0.09/0.42 sQ5_spl <=> (multiply(sk_c1,sk_c8)=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f94,plain,(
% 0.09/0.42 multiply(sk_c1,sk_c8)=sk_c9|~sQ5_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f93])).
% 0.09/0.42 fof(f96,plain,(
% 0.09/0.42 sQ5_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.09/0.42 fof(f97,plain,(
% 0.09/0.42 sQ5_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.09/0.42 fof(f98,plain,(
% 0.09/0.42 sQ5_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.09/0.42 fof(f99,plain,(
% 0.09/0.42 sQ5_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.09/0.42 fof(f100,definition,(
% 0.09/0.42 sQ6_spl <=> (multiply(sk_c2,sk_c3)=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f101,plain,(
% 0.09/0.42 multiply(sk_c2,sk_c3)=sk_c8|~sQ6_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f100])).
% 0.09/0.42 fof(f104,plain,(
% 0.09/0.42 sQ6_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f49,f100,f81])).
% 0.09/0.42 fof(f105,plain,(
% 0.09/0.42 sQ6_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f50,f100,f85])).
% 0.09/0.42 fof(f106,plain,(
% 0.09/0.42 sQ6_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f51,f100,f89])).
% 0.09/0.42 fof(f107,definition,(
% 0.09/0.42 sQ7_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f108,plain,(
% 0.09/0.42 inverse(sk_c2)=sk_c3|~sQ7_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f107])).
% 0.09/0.42 fof(f111,plain,(
% 0.09/0.42 sQ7_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f53,f107,f81])).
% 0.09/0.42 fof(f112,plain,(
% 0.09/0.42 sQ7_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f54,f107,f85])).
% 0.09/0.42 fof(f113,plain,(
% 0.09/0.42 sQ7_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f55,f107,f89])).
% 0.09/0.42 fof(f114,definition,(
% 0.09/0.42 sQ8_spl <=> (multiply(sk_c3,sk_c9)=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f115,plain,(
% 0.09/0.42 multiply(sk_c3,sk_c9)=sk_c8|~sQ8_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f114])).
% 0.09/0.42 fof(f118,plain,(
% 0.09/0.42 sQ8_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f57,f114,f81])).
% 0.09/0.42 fof(f119,plain,(
% 0.09/0.42 sQ8_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f58,f114,f85])).
% 0.09/0.42 fof(f120,plain,(
% 0.09/0.42 sQ8_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f59,f114,f89])).
% 0.09/0.42 fof(f121,definition,(
% 0.09/0.42 sQ9_spl <=> (multiply(sk_c9,sk_c5)=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f122,plain,(
% 0.09/0.42 multiply(sk_c9,sk_c5)=sk_c8|~sQ9_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f121])).
% 0.09/0.42 fof(f124,plain,(
% 0.09/0.42 sQ9_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f60,f121,f77])).
% 0.09/0.42 fof(f125,plain,(
% 0.09/0.42 sQ9_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f61,f121,f81])).
% 0.09/0.42 fof(f126,plain,(
% 0.09/0.42 sQ9_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f62,f121,f85])).
% 0.09/0.42 fof(f127,plain,(
% 0.09/0.42 sQ9_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f63,f121,f89])).
% 0.09/0.42 fof(f128,definition,(
% 0.09/0.42 sQ10_spl <=> (multiply(sk_c4,sk_c9)=sk_c5)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f129,plain,(
% 0.09/0.42 multiply(sk_c4,sk_c9)=sk_c5|~sQ10_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f128])).
% 0.09/0.42 fof(f131,plain,(
% 0.09/0.42 sQ10_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f64,f128,f77])).
% 0.09/0.42 fof(f132,plain,(
% 0.09/0.42 sQ10_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f65,f128,f81])).
% 0.09/0.42 fof(f133,plain,(
% 0.09/0.42 sQ10_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f66,f128,f85])).
% 0.09/0.42 fof(f134,plain,(
% 0.09/0.42 sQ10_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f67,f128,f89])).
% 0.09/0.42 fof(f135,definition,(
% 0.09/0.42 sQ11_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f136,plain,(
% 0.09/0.42 inverse(sk_c4)=sk_c9|~sQ11_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f135])).
% 0.09/0.42 fof(f138,plain,(
% 0.09/0.42 sQ11_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f68,f135,f77])).
% 0.09/0.42 fof(f139,plain,(
% 0.09/0.42 sQ11_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f69,f135,f81])).
% 0.09/0.42 fof(f140,plain,(
% 0.09/0.42 sQ11_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f70,f135,f85])).
% 0.09/0.42 fof(f141,plain,(
% 0.09/0.42 sQ11_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f71,f135,f89])).
% 0.09/0.42 fof(f142,definition,(
% 0.09/0.42 ![X0]: (sQ12_spl <=> (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f143,plain,(
% 0.09/0.42 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ12_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f142])).
% 0.09/0.42 fof(f145,definition,(
% 0.09/0.42 ![X1,X2]: (sQ13_spl <=> (~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~multiply(X2,sk_c9)=sk_c8))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f146,plain,(
% 0.09/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c8|~sQ13_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f145])).
% 0.09/0.42 fof(f148,definition,(
% 0.09/0.42 ![X3,X4]: (sQ14_spl <=> (~multiply(sk_c9,X3)=sk_c8|~multiply(X4,sk_c9)=X3|~inverse(X4)=sk_c9))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f149,plain,(
% 0.09/0.42 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ14_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f148])).
% 0.09/0.42 fof(f151,definition,(
% 0.09/0.42 ![X6]: (sQ15_spl <=> (~multiply(X6,sk_c8)=sk_c9|~inverse(X6)=sk_c8))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f152,plain,(
% 0.09/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ15_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f151])).
% 0.09/0.42 fof(f154,plain,(
% 0.09/0.42 sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f73,f142,f145,f148,f151])).
% 0.09/0.42 fof(f155,plain,(
% 0.09/0.42 ~inverse(sk_c1)=sk_c8|~sQ15_spl|~sQ5_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f152,f94])).
% 0.09/0.42 fof(f157,plain,(
% 0.09/0.42 ~inverse(sk_c7)=sk_c8|~sQ15_spl|~sQ3_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f152,f86])).
% 0.09/0.42 fof(f158,plain,(
% 0.09/0.42 ~sk_c9=sk_c9|~inverse(sk_c1)=sk_c8|~sQ15_spl|~sQ5_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f94,f152])).
% 0.09/0.42 fof(f161,plain,(
% 0.09/0.42 ~sk_c9=sk_c8|~sQ0_spl|~sQ15_spl|~sQ5_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f75,f155])).
% 0.09/0.42 fof(f163,plain,(
% 0.09/0.42 ~sk_c8=sk_c8|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f90,f157])).
% 0.09/0.42 fof(f164,plain,(
% 0.09/0.42 $false|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f163])).
% 0.09/0.42 fof(f165,plain,(
% 0.09/0.42 ~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f164])).
% 0.09/0.42 fof(f166,plain,(
% 0.09/0.42 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.09/0.42 inference(destructive_equality_resolution,[status(thm)],[f149])).
% 0.09/0.42 fof(f180,plain,(
% 0.09/0.42 ~multiply(sk_c9,sk_c8)=sk_c8|~inverse(sk_c3)=sk_c9|~sQ14_spl|~sQ8_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f115,f166])).
% 0.09/0.42 fof(f181,plain,(
% 0.09/0.42 ~multiply(sk_c9,sk_c5)=sk_c8|~inverse(sk_c4)=sk_c9|~sQ14_spl|~sQ10_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f129,f166])).
% 0.09/0.42 fof(f182,definition,(
% 0.09/0.42 sQ16_spl <=> (multiply(sk_c9,sk_c8)=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f184,plain,(
% 0.09/0.42 ~multiply(sk_c9,sk_c8)=sk_c8|sQ16_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f182])).
% 0.09/0.42 fof(f185,definition,(
% 0.09/0.42 sQ17_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f188,plain,(
% 0.09/0.42 ~sQ16_spl|~sQ17_spl|~sQ14_spl|~sQ8_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f180,f182,f185,f148,f114])).
% 0.09/0.42 fof(f189,plain,(
% 0.09/0.42 ~sQ9_spl|~sQ11_spl|~sQ14_spl|~sQ10_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f181,f121,f135,f148,f128])).
% 0.09/0.42 fof(f190,plain,(
% 0.09/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c9)=sk_c8|~sQ13_spl)),
% 0.09/0.42 inference(destructive_equality_resolution,[status(thm)],[f146])).
% 0.09/0.42 fof(f191,plain,(
% 0.09/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~sQ13_spl|~sQ0_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f75,f190])).
% 0.09/0.42 fof(f193,plain,(
% 0.09/0.42 ~multiply(sk_c4,inverse(sk_c4))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~sQ13_spl|~sQ11_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f136,f190])).
% 0.09/0.42 fof(f194,plain,(
% 0.09/0.42 ~multiply(sk_c6,inverse(sk_c6))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~sQ13_spl|~sQ1_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f78,f190])).
% 0.09/0.42 fof(f195,plain,(
% 0.09/0.42 ~multiply(sk_c7,inverse(sk_c7))=sk_c8|~multiply(sk_c8,sk_c9)=sk_c8|~sQ13_spl|~sQ4_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f90,f190])).
% 0.09/0.42 fof(f196,definition,(
% 0.09/0.42 sQ18_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f198,plain,(
% 0.09/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|sQ18_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f196])).
% 0.09/0.42 fof(f199,definition,(
% 0.09/0.42 sQ19_spl <=> (multiply(sk_c9,sk_c9)=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f202,plain,(
% 0.09/0.42 ~sQ18_spl|~sQ19_spl|~sQ13_spl|~sQ0_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f191,f196,f199,f145,f74])).
% 0.09/0.42 fof(f207,definition,(
% 0.09/0.42 sQ21_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f210,plain,(
% 0.09/0.42 ~sQ21_spl|~sQ19_spl|~sQ13_spl|~sQ11_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f193,f207,f199,f145,f135])).
% 0.09/0.42 fof(f211,definition,(
% 0.09/0.42 sQ22_spl <=> (multiply(sk_c6,inverse(sk_c6))=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f214,plain,(
% 0.09/0.42 ~sQ22_spl|~sQ19_spl|~sQ13_spl|~sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f194,f211,f199,f145,f77])).
% 0.09/0.42 fof(f215,definition,(
% 0.09/0.42 sQ23_spl <=> (multiply(sk_c7,inverse(sk_c7))=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f217,plain,(
% 0.09/0.42 ~multiply(sk_c7,inverse(sk_c7))=sk_c8|sQ23_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f215])).
% 0.09/0.42 fof(f218,definition,(
% 0.09/0.42 sQ24_spl <=> (multiply(sk_c8,sk_c9)=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f220,plain,(
% 0.09/0.42 ~multiply(sk_c8,sk_c9)=sk_c8|sQ24_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f218])).
% 0.09/0.42 fof(f221,plain,(
% 0.09/0.42 ~sQ23_spl|~sQ24_spl|~sQ13_spl|~sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f195,f215,f218,f145,f89])).
% 0.09/0.42 fof(f223,plain,(
% 0.09/0.42 multiply(sk_c9,sk_c1)=identity|~sQ0_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f75,f38])).
% 0.09/0.42 fof(f227,plain,(
% 0.09/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f38,f39])).
% 0.09/0.42 fof(f228,plain,(
% 0.09/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f37,f227])).
% 0.09/0.42 fof(f245,plain,(
% 0.09/0.42 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f37,f228])).
% 0.09/0.42 fof(f248,plain,(
% 0.09/0.42 sk_c8=multiply(inverse(sk_c1),sk_c9)|~sQ5_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f94,f228])).
% 0.09/0.42 fof(f249,plain,(
% 0.09/0.42 sk_c3=multiply(inverse(sk_c2),sk_c8)|~sQ6_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f101,f228])).
% 0.09/0.42 fof(f253,plain,(
% 0.09/0.42 sk_c1=multiply(inverse(sk_c9),identity)|~sQ0_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f223,f228])).
% 0.09/0.42 fof(f255,plain,(
% 0.09/0.42 sk_c9=multiply(inverse(sk_c4),sk_c5)|~sQ10_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f129,f228])).
% 0.09/0.42 fof(f258,plain,(
% 0.09/0.42 sk_c8=multiply(sk_c9,sk_c9)|~sQ0_spl|~sQ5_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f75,f248])).
% 0.09/0.42 fof(f259,plain,(
% 0.09/0.42 sk_c3=multiply(sk_c3,sk_c8)|~sQ7_spl|~sQ6_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f108,f249])).
% 0.09/0.42 fof(f260,plain,(
% 0.09/0.42 sk_c9=multiply(sk_c9,sk_c5)|~sQ11_spl|~sQ10_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f136,f255])).
% 0.09/0.42 fof(f261,plain,(
% 0.09/0.42 sk_c9=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f122,f260])).
% 0.09/0.42 fof(f267,plain,(
% 0.09/0.42 multiply(sk_c1,sk_c8)=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ5_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f261,f94])).
% 0.09/0.42 fof(f271,plain,(
% 0.09/0.42 inverse(sk_c1)=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f261,f75])).
% 0.09/0.42 fof(f296,plain,(
% 0.09/0.42 sk_c8=multiply(inverse(sk_c3),sk_c3)|~sQ7_spl|~sQ6_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f259,f228])).
% 0.09/0.42 fof(f298,plain,(
% 0.09/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c9|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ12_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f261,f143])).
% 0.09/0.42 fof(f299,plain,(
% 0.09/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ12_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f261,f298])).
% 0.09/0.42 fof(f314,definition,(
% 0.09/0.42 sQ28_spl <=> (sk_c8=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f316,plain,(
% 0.09/0.42 ~sk_c8=sk_c8|sQ28_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f314])).
% 0.09/0.42 fof(f318,plain,(
% 0.09/0.42 ~inverse(sk_c1)=sk_c8|~sQ5_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ12_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f267,f299])).
% 0.09/0.42 fof(f322,plain,(
% 0.09/0.42 ~sk_c8=sk_c8|~sQ0_spl|~sQ5_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ12_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f271,f318])).
% 0.09/0.42 fof(f323,plain,(
% 0.09/0.42 $false|~sQ0_spl|~sQ5_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ12_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f322])).
% 0.09/0.42 fof(f324,plain,(
% 0.09/0.42 ~sQ0_spl|~sQ5_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ12_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f323])).
% 0.09/0.42 fof(f336,definition,(
% 0.09/0.42 sQ29_spl <=> (sk_c9=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f338,plain,(
% 0.09/0.42 ~sk_c9=sk_c9|sQ29_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f336])).
% 0.09/0.42 fof(f339,definition,(
% 0.09/0.42 sQ30_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f342,plain,(
% 0.09/0.42 ~sQ29_spl|~sQ30_spl|~sQ15_spl|~sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f158,f336,f339,f151,f93])).
% 0.09/0.42 fof(f343,plain,(
% 0.09/0.42 ~sk_c8=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ5_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f261,f161])).
% 0.09/0.42 fof(f344,plain,(
% 0.09/0.42 $false|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ5_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f343])).
% 0.09/0.42 fof(f345,plain,(
% 0.09/0.42 ~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ15_spl|~sQ5_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f344])).
% 0.09/0.42 fof(f346,plain,(
% 0.09/0.42 ~multiply(sk_c1,sk_c8)=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ18_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f271,f198])).
% 0.09/0.42 fof(f347,plain,(
% 0.09/0.42 ~sk_c8=sk_c8|~sQ5_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ18_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f267,f346])).
% 0.09/0.42 fof(f348,plain,(
% 0.09/0.42 $false|~sQ5_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ18_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f347])).
% 0.09/0.42 fof(f349,plain,(
% 0.09/0.42 ~sQ5_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ18_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f348])).
% 0.09/0.42 fof(f350,plain,(
% 0.09/0.42 ~multiply(sk_c7,sk_c8)=sk_c8|~sQ4_spl|sQ23_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f90,f217])).
% 0.09/0.42 fof(f351,plain,(
% 0.09/0.42 $false|sQ29_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f338])).
% 0.09/0.42 fof(f352,plain,(
% 0.09/0.42 sQ29_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f351])).
% 0.09/0.42 fof(f353,plain,(
% 0.09/0.42 $false|sQ28_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f316])).
% 0.09/0.42 fof(f354,plain,(
% 0.09/0.42 sQ28_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f353])).
% 0.09/0.42 fof(f358,plain,(
% 0.09/0.42 ~sk_c9=sk_c8|~sQ3_spl|~sQ4_spl|sQ23_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f86,f350])).
% 0.09/0.42 fof(f359,plain,(
% 0.09/0.42 sk_c8=multiply(inverse(sk_c7),sk_c9)|~sQ3_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f86,f228])).
% 0.09/0.42 fof(f361,plain,(
% 0.09/0.42 sk_c8=multiply(sk_c8,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f90,f359])).
% 0.09/0.42 fof(f362,plain,(
% 0.09/0.42 $false|sQ24_spl|~sQ4_spl|~sQ3_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f361,f220])).
% 0.09/0.42 fof(f363,plain,(
% 0.09/0.42 sQ24_spl|~sQ4_spl|~sQ3_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f362])).
% 0.09/0.42 fof(f364,plain,(
% 0.09/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f228,f245])).
% 0.09/0.42 fof(f371,plain,(
% 0.09/0.42 ~inverse(sk_c6)=sk_c9|~sQ12_spl|~sQ2_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f143,f82])).
% 0.09/0.42 fof(f378,plain,(
% 0.09/0.42 ~sQ1_spl|~sQ12_spl|~sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f371,f77,f142,f81])).
% 0.09/0.42 fof(f379,definition,(
% 0.09/0.42 sQ31_spl <=> (inverse(identity)=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f381,plain,(
% 0.09/0.42 ~inverse(identity)=sk_c9|sQ31_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f379])).
% 0.09/0.42 fof(f391,definition,(
% 0.09/0.42 sQ34_spl <=> (inverse(inverse(identity))=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f396,plain,(
% 0.09/0.42 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(identity)=sk_c9|~sQ14_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f364,f166])).
% 0.09/0.42 fof(f397,plain,(
% 0.09/0.42 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(inverse(identity))=sk_c9|~sQ14_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f245,f166])).
% 0.09/0.42 fof(f399,plain,(
% 0.09/0.42 ~sQ19_spl|~sQ31_spl|~sQ14_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f396,f199,f379,f148])).
% 0.09/0.42 fof(f400,plain,(
% 0.09/0.42 ~sQ19_spl|~sQ34_spl|~sQ14_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f397,f199,f391,f148])).
% 0.09/0.42 fof(f405,plain,(
% 0.09/0.42 multiply(sk_c9,sk_c6)=identity|~sQ1_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f78,f38])).
% 0.09/0.42 fof(f408,plain,(
% 0.09/0.42 ~multiply(sk_c9,identity)=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~sQ14_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f38,f166])).
% 0.09/0.42 fof(f411,definition,(
% 0.09/0.42 sQ35_spl <=> (multiply(sk_c9,identity)=sk_c8)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f414,definition,(
% 0.09/0.42 sQ36_spl <=> (inverse(inverse(sk_c9))=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f417,plain,(
% 0.09/0.42 ~sQ35_spl|~sQ36_spl|~sQ14_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f408,f411,f414,f148])).
% 0.09/0.42 fof(f419,plain,(
% 0.09/0.42 ~multiply(sk_c9,sk_c8)=sk_c8|~inverse(sk_c8)=sk_c9|~sQ14_spl|~sQ4_spl|~sQ3_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f361,f166])).
% 0.09/0.42 fof(f420,plain,(
% 0.09/0.42 sk_c9=multiply(inverse(sk_c8),sk_c8)|~sQ4_spl|~sQ3_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f361,f228])).
% 0.09/0.42 fof(f422,definition,(
% 0.09/0.42 sQ37_spl <=> (inverse(sk_c8)=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f424,plain,(
% 0.09/0.42 ~inverse(sk_c8)=sk_c9|sQ37_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f422])).
% 0.09/0.42 fof(f425,plain,(
% 0.09/0.42 ~sQ16_spl|~sQ37_spl|~sQ14_spl|~sQ4_spl|~sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f419,f182,f422,f148,f89,f85])).
% 0.09/0.42 fof(f426,plain,(
% 0.09/0.42 sk_c9=identity|~sQ4_spl|~sQ3_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f38,f420])).
% 0.09/0.42 fof(f427,plain,(
% 0.09/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ4_spl|~sQ3_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f426,f38])).
% 0.09/0.42 fof(f429,plain,(
% 0.09/0.42 ~inverse(sk_c9)=sk_c9|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f426,f381])).
% 0.09/0.42 fof(f430,plain,(
% 0.09/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f426,f364])).
% 0.09/0.42 fof(f433,plain,(
% 0.09/0.42 ~sk_c8=sk_c8|~sQ4_spl|~sQ3_spl|sQ16_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f430,f184])).
% 0.09/0.42 fof(f436,plain,(
% 0.09/0.42 ~sQ28_spl|~sQ4_spl|~sQ3_spl|sQ16_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f433,f314,f89,f85,f182])).
% 0.09/0.42 fof(f439,plain,(
% 0.09/0.42 sk_c9=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f440,f426])).
% 0.09/0.42 fof(f440,plain,(
% 0.09/0.42 sk_c6=identity|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f430,f405])).
% 0.09/0.42 fof(f443,plain,(
% 0.09/0.42 ~inverse(sk_c9)=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f439,f429])).
% 0.09/0.42 fof(f444,plain,(
% 0.09/0.42 ~inverse(sk_c8)=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ37_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f439,f424])).
% 0.09/0.42 fof(f446,plain,(
% 0.09/0.42 ~sk_c6=sk_c8|~sQ1_spl|~sQ3_spl|~sQ4_spl|sQ23_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f439,f358])).
% 0.09/0.42 fof(f449,plain,(
% 0.09/0.42 inverse(sk_c6)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f439,f78])).
% 0.09/0.42 fof(f450,plain,(
% 0.09/0.42 multiply(sk_c6,sk_c8)=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f439,f82])).
% 0.09/0.42 fof(f453,plain,(
% 0.09/0.42 ~inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f439,f443])).
% 0.09/0.42 fof(f454,plain,(
% 0.09/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f439,f427])).
% 0.09/0.42 fof(f457,plain,(
% 0.09/0.42 ![X0,X1]: (multiply(sk_c6,X0)=multiply(inverse(X1),multiply(X1,X0))|~sQ1_spl|~sQ4_spl|~sQ3_spl)),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f454,f39])).
% 0.09/0.42 fof(f458,plain,(
% 0.09/0.42 ![X0]: (multiply(sk_c6,X0)=X0|~sQ1_spl|~sQ4_spl|~sQ3_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f228,f457])).
% 0.09/0.42 fof(f479,plain,(
% 0.09/0.42 sk_c8=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f454,f296])).
% 0.09/0.42 fof(f487,plain,(
% 0.09/0.42 sk_c1=multiply(inverse(sk_c6),identity)|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f439,f253])).
% 0.09/0.42 fof(f488,plain,(
% 0.09/0.42 sk_c1=multiply(inverse(sk_c6),sk_c6)|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f440,f487])).
% 0.09/0.42 fof(f489,plain,(
% 0.09/0.42 sk_c1=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f454,f488])).
% 0.09/0.42 fof(f490,plain,(
% 0.09/0.42 sQ19_spl|~sQ0_spl|~sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f258,f199,f74,f93])).
% 0.09/0.42 fof(f493,plain,(
% 0.09/0.42 inverse(sk_c1)=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f439,f75])).
% 0.09/0.42 fof(f519,plain,(
% 0.09/0.42 ~inverse(sk_c8)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ37_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f479,f444])).
% 0.09/0.42 fof(f520,plain,(
% 0.09/0.42 inverse(sk_c8)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f479,f449])).
% 0.09/0.42 fof(f521,plain,(
% 0.09/0.42 inverse(sk_c8)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f479,f520])).
% 0.09/0.42 fof(f522,plain,(
% 0.09/0.42 $false|sQ37_spl|~sQ7_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f521,f519])).
% 0.09/0.42 fof(f523,plain,(
% 0.09/0.42 sQ37_spl|~sQ7_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f522])).
% 0.09/0.42 fof(f528,plain,(
% 0.09/0.42 sk_c8=sk_c6|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f458,f450])).
% 0.09/0.42 fof(f532,plain,(
% 0.09/0.42 $false|sQ23_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f528,f446])).
% 0.09/0.42 fof(f533,plain,(
% 0.09/0.42 sQ23_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f532])).
% 0.09/0.42 fof(f544,plain,(
% 0.09/0.42 sk_c1=sk_c8|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f528,f489])).
% 0.09/0.42 fof(f554,plain,(
% 0.09/0.42 inverse(sk_c8)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f544,f493])).
% 0.09/0.42 fof(f555,plain,(
% 0.09/0.42 inverse(sk_c8)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f528,f554])).
% 0.09/0.42 fof(f557,plain,(
% 0.09/0.42 ~inverse(sk_c8)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f528,f453])).
% 0.09/0.42 fof(f558,plain,(
% 0.09/0.42 ~sk_c8=sk_c6|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f555,f557])).
% 0.09/0.42 fof(f559,plain,(
% 0.09/0.42 ~sk_c8=sk_c8|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f528,f558])).
% 0.09/0.42 fof(f560,plain,(
% 0.09/0.42 $false|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f559])).
% 0.09/0.42 fof(f561,plain,(
% 0.09/0.42 ~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f560])).
% 0.09/0.42 fof(f572,plain,(
% 0.09/0.42 inverse(sk_c8)=sk_c6|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f528,f449])).
% 0.09/0.42 fof(f573,plain,(
% 0.09/0.42 inverse(sk_c8)=sk_c8|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f528,f572])).
% 0.09/0.42 fof(f577,plain,(
% 0.09/0.42 ~inverse(sk_c8)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ37_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f528,f444])).
% 0.09/0.42 fof(f589,plain,(
% 0.09/0.42 $false|sQ37_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f573,f577])).
% 0.09/0.42 fof(f590,plain,(
% 0.09/0.42 sQ37_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f589])).
% 0.09/0.42 fof(f591,plain,(
% 0.09/0.42 $false),
% 0.09/0.42 inference(sat_refutation,[status(thm)],[f80,f84,f88,f92,f96,f97,f98,f99,f104,f105,f106,f111,f112,f113,f118,f119,f120,f124,f125,f126,f127,f131,f132,f133,f134,f138,f139,f140,f141,f154,f165,f188,f189,f202,f210,f214,f221,f324,f342,f345,f349,f352,f354,f363,f378,f399,f400,f417,f425,f436,f490,f523,f533,f561,f590])).
% 0.09/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.063012 seconds
% 0.09/0.44 % CPU time: 0.195309 seconds
% 0.09/0.44 % Total memory used: 104.030 MB
% 0.09/0.44 % Net memory used: 103.892 MB
%------------------------------------------------------------------------------