%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP280-1 : 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 : n005.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 12:36:22 PM UTC 2026
% Result : Unsatisfiable 0.07s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP280-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/5.36 % Computer : n005.cluster.edu
% 0.07/5.36 % Model : x86_64 x86_64
% 0.07/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.36 % Memory : 8046.5625MB
% 0.07/5.36 % OS : Linux 6.8.0-71-generic
% 0.07/5.36 % CPULimit : 300
% 0.07/5.36 % WCLimit : 300
% 0.07/5.36 % DateTime : Sun Sep 20 20:08:08 UTC 2026
% 0.07/5.36 % CPUTime :
% 0.07/5.37 % Drodi V4.1.1
% 0.07/5.39 % Refutation found
% 0.07/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.07/5.39 fof(f1,axiom,(
% 0.07/5.39 (![X]: (multiply(identity,X) = X ))),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f2,axiom,(
% 0.07/5.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f3,axiom,(
% 0.07/5.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f4,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f5,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f6,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c8) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f8,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f9,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c8) = sk_c7| inverse(sk_c6) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f10,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f11,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f12,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c5 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f13,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f14,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f15,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f16,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c1) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f17,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f18,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f19,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f20,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f21,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f22,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f23,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f24,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c4) = sk_c5 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f25,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f26,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f27,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f28,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f29,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f30,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c4) = sk_c5 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f31,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f32,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f33,negated_conjecture,(
% 0.07/5.39 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c6) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f34,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f35,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f36,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f37,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f38,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f39,negated_conjecture,(
% 0.07/5.39 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f40,negated_conjecture,(
% 0.07/5.39 (![X4,X5,X6,X2,X1,X3]: (( multiply(sk_c9,sk_c8) != sk_c7| multiply(X4,sk_c9) != sk_c8| inverse(X4) != sk_c9| multiply(sk_c9,X5) != sk_c8| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9| multiply(sk_c9,sk_c7) != sk_c8| multiply(X2,X1) != sk_c9| inverse(X2) != X1| multiply(X1,sk_c8) != sk_c9| multiply(X3,sk_c9) != sk_c7| inverse(X3) != sk_c9 ) ))),
% 0.07/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39 fof(f41,plain,(
% 0.07/5.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.07/5.39 fof(f42,plain,(
% 0.07/5.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/5.39 fof(f43,plain,(
% 0.07/5.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.07/5.39 fof(f44,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c9,sk_c7)=sk_c8),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.07/5.39 fof(f45,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c4,sk_c5)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/5.39 fof(f46,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.07/5.39 fof(f48,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c6,sk_c9)=sk_c7),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.07/5.39 fof(f49,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c6)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.07/5.39 fof(f50,plain,(
% 0.07/5.39 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.07/5.39 fof(f51,plain,(
% 0.07/5.39 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c5)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.07/5.39 fof(f52,plain,(
% 0.07/5.39 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c5),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.07/5.39 fof(f53,plain,(
% 0.07/5.39 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.07/5.39 fof(f54,plain,(
% 0.07/5.39 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.07/5.39 fof(f55,plain,(
% 0.07/5.39 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.07/5.39 fof(f56,plain,(
% 0.07/5.39 inverse(sk_c1)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.07/5.39 fof(f57,plain,(
% 0.07/5.39 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.07/5.39 fof(f58,plain,(
% 0.07/5.39 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.07/5.39 fof(f59,plain,(
% 0.07/5.39 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.07/5.39 fof(f60,plain,(
% 0.07/5.39 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.07/5.39 fof(f61,plain,(
% 0.07/5.39 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.07/5.39 fof(f62,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.07/5.39 fof(f63,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c4,sk_c5)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.07/5.39 fof(f64,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c4)=sk_c5),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.07/5.39 fof(f65,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.07/5.39 fof(f66,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.07/5.39 fof(f67,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.07/5.39 fof(f68,plain,(
% 0.07/5.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c9,sk_c7)=sk_c8),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.07/5.39 fof(f69,plain,(
% 0.07/5.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c4,sk_c5)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.07/5.39 fof(f70,plain,(
% 0.07/5.39 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c4)=sk_c5),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.07/5.39 fof(f71,plain,(
% 0.07/5.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c5,sk_c8)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.07/5.39 fof(f72,plain,(
% 0.07/5.39 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c6,sk_c9)=sk_c7),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.07/5.39 fof(f73,plain,(
% 0.07/5.39 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c6)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.07/5.39 fof(f74,plain,(
% 0.07/5.39 inverse(sk_c2)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.07/5.39 fof(f75,plain,(
% 0.07/5.39 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f35])).
% 0.07/5.39 fof(f76,plain,(
% 0.07/5.39 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f36])).
% 0.07/5.39 fof(f77,plain,(
% 0.07/5.39 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.07/5.39 fof(f78,plain,(
% 0.07/5.39 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.07/5.39 fof(f79,plain,(
% 0.07/5.39 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f39])).
% 0.07/5.39 fof(f80,plain,(
% 0.07/5.39 ![X3]: (((![X1]: ((![X2]: ((((![X6]: ((![X5]: (((![X4]: ((~multiply(sk_c9,sk_c8)=sk_c7|~multiply(X4,sk_c9)=sk_c8)|~inverse(X4)=sk_c9))|~multiply(sk_c9,X5)=sk_c8)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9))|~multiply(sk_c9,sk_c7)=sk_c8)|~multiply(X2,X1)=sk_c9)|~inverse(X2)=X1))|~multiply(X1,sk_c8)=sk_c9))|~multiply(X3,sk_c9)=sk_c7)|~inverse(X3)=sk_c9)),
% 0.07/5.39 inference(miniscoping,[status(thm)],[f40])).
% 0.07/5.39 fof(f81,plain,(
% 0.07/5.39 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c9,sk_c8)=sk_c7|~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9|~multiply(sk_c9,sk_c7)=sk_c8|~multiply(X3,X4)=sk_c9|~inverse(X3)=X4|~multiply(X4,sk_c8)=sk_c9|~multiply(X5,sk_c9)=sk_c7|~inverse(X5)=sk_c9)),
% 0.07/5.39 inference(cnf_transformation,[status(thm)],[f80])).
% 0.07/5.39 fof(f82,definition,(
% 0.07/5.39 sQ0_spl <=> (multiply(sk_c9,sk_c8)=sk_c7)),
% 0.07/5.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.07/5.39 fof(f83,plain,(
% 0.07/5.39 multiply(sk_c9,sk_c8)=sk_c7|~sQ0_spl),
% 0.07/5.39 inference(component_clause,[status(thm)],[f82])).
% 0.07/5.39 fof(f84,plain,(
% 0.07/5.39 ~multiply(sk_c9,sk_c8)=sk_c7|sQ0_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f82])).
% 0.07/5.40 fof(f85,definition,(
% 0.07/5.40 sQ1_spl <=> (multiply(sk_c9,sk_c7)=sk_c8)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f86,plain,(
% 0.07/5.40 multiply(sk_c9,sk_c7)=sk_c8|~sQ1_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f85])).
% 0.07/5.40 fof(f87,plain,(
% 0.07/5.40 ~multiply(sk_c9,sk_c7)=sk_c8|sQ1_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f85])).
% 0.07/5.40 fof(f88,plain,(
% 0.07/5.40 sQ0_spl|sQ1_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.07/5.40 fof(f89,definition,(
% 0.07/5.40 sQ2_spl <=> (multiply(sk_c4,sk_c5)=sk_c9)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f90,plain,(
% 0.07/5.40 multiply(sk_c4,sk_c5)=sk_c9|~sQ2_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f89])).
% 0.07/5.40 fof(f92,plain,(
% 0.07/5.40 sQ0_spl|sQ2_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.07/5.40 fof(f93,definition,(
% 0.07/5.40 sQ3_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f94,plain,(
% 0.07/5.40 inverse(sk_c4)=sk_c5|~sQ3_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f93])).
% 0.07/5.40 fof(f96,plain,(
% 0.07/5.40 sQ0_spl|sQ3_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.07/5.40 fof(f97,definition,(
% 0.07/5.40 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f101,definition,(
% 0.07/5.40 sQ5_spl <=> (multiply(sk_c6,sk_c9)=sk_c7)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f102,plain,(
% 0.07/5.40 multiply(sk_c6,sk_c9)=sk_c7|~sQ5_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f101])).
% 0.07/5.40 fof(f104,plain,(
% 0.07/5.40 sQ0_spl|sQ5_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.07/5.40 fof(f105,definition,(
% 0.07/5.40 sQ6_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f106,plain,(
% 0.07/5.40 inverse(sk_c6)=sk_c9|~sQ6_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f105])).
% 0.07/5.40 fof(f108,plain,(
% 0.07/5.40 sQ0_spl|sQ6_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.07/5.40 fof(f109,definition,(
% 0.07/5.40 sQ7_spl <=> (multiply(sk_c1,sk_c9)=sk_c8)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f110,plain,(
% 0.07/5.40 multiply(sk_c1,sk_c9)=sk_c8|~sQ7_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f109])).
% 0.07/5.40 fof(f112,plain,(
% 0.07/5.40 sQ7_spl|sQ1_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.07/5.40 fof(f113,plain,(
% 0.07/5.40 sQ7_spl|sQ2_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.07/5.40 fof(f114,plain,(
% 0.07/5.40 sQ7_spl|sQ3_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.07/5.40 fof(f115,plain,(
% 0.07/5.40 sQ7_spl|sQ4_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.07/5.40 fof(f116,plain,(
% 0.07/5.40 sQ7_spl|sQ5_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.07/5.40 fof(f117,plain,(
% 0.07/5.40 sQ7_spl|sQ6_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.07/5.40 fof(f118,definition,(
% 0.07/5.40 sQ8_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f119,plain,(
% 0.07/5.40 inverse(sk_c1)=sk_c9|~sQ8_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f118])).
% 0.07/5.40 fof(f121,plain,(
% 0.07/5.40 sQ8_spl|sQ1_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.07/5.40 fof(f122,plain,(
% 0.07/5.40 sQ8_spl|sQ2_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.07/5.40 fof(f123,plain,(
% 0.07/5.40 sQ8_spl|sQ3_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.07/5.40 fof(f124,plain,(
% 0.07/5.40 sQ8_spl|sQ4_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.07/5.40 fof(f125,plain,(
% 0.07/5.40 sQ8_spl|sQ5_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.07/5.40 fof(f126,plain,(
% 0.07/5.40 sQ8_spl|sQ6_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.07/5.40 fof(f127,definition,(
% 0.07/5.40 sQ9_spl <=> (multiply(sk_c9,sk_c3)=sk_c8)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f128,plain,(
% 0.07/5.40 multiply(sk_c9,sk_c3)=sk_c8|~sQ9_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f127])).
% 0.07/5.40 fof(f130,plain,(
% 0.07/5.40 sQ9_spl|sQ1_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.07/5.40 fof(f131,plain,(
% 0.07/5.40 sQ9_spl|sQ2_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.07/5.40 fof(f132,plain,(
% 0.07/5.40 sQ9_spl|sQ3_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.07/5.40 fof(f133,plain,(
% 0.07/5.40 sQ9_spl|sQ4_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.07/5.40 fof(f134,plain,(
% 0.07/5.40 sQ9_spl|sQ5_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.07/5.40 fof(f135,plain,(
% 0.07/5.40 sQ9_spl|sQ6_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.07/5.40 fof(f136,definition,(
% 0.07/5.40 sQ10_spl <=> (multiply(sk_c2,sk_c9)=sk_c3)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f137,plain,(
% 0.07/5.40 multiply(sk_c2,sk_c9)=sk_c3|~sQ10_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f136])).
% 0.07/5.40 fof(f139,plain,(
% 0.07/5.40 sQ10_spl|sQ1_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.07/5.40 fof(f140,plain,(
% 0.07/5.40 sQ10_spl|sQ2_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.07/5.40 fof(f141,plain,(
% 0.07/5.40 sQ10_spl|sQ3_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.07/5.40 fof(f142,plain,(
% 0.07/5.40 sQ10_spl|sQ4_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.07/5.40 fof(f143,plain,(
% 0.07/5.40 sQ10_spl|sQ5_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.07/5.40 fof(f144,plain,(
% 0.07/5.40 sQ10_spl|sQ6_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.07/5.40 fof(f145,definition,(
% 0.07/5.40 sQ11_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f146,plain,(
% 0.07/5.40 inverse(sk_c2)=sk_c9|~sQ11_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f145])).
% 0.07/5.40 fof(f148,plain,(
% 0.07/5.40 sQ11_spl|sQ1_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.07/5.40 fof(f149,plain,(
% 0.07/5.40 sQ11_spl|sQ2_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.07/5.40 fof(f150,plain,(
% 0.07/5.40 sQ11_spl|sQ3_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.07/5.40 fof(f151,plain,(
% 0.07/5.40 sQ11_spl|sQ4_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.07/5.40 fof(f152,plain,(
% 0.07/5.40 sQ11_spl|sQ5_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.07/5.40 fof(f153,plain,(
% 0.07/5.40 sQ11_spl|sQ6_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.07/5.40 fof(f154,definition,(
% 0.07/5.40 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9))),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f155,plain,(
% 0.07/5.40 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ12_spl)),
% 0.07/5.40 inference(component_clause,[status(thm)],[f154])).
% 0.07/5.40 fof(f157,definition,(
% 0.07/5.40 ![X1,X2]: (sQ13_spl <=> (~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9))),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f158,plain,(
% 0.07/5.40 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ13_spl)),
% 0.07/5.40 inference(component_clause,[status(thm)],[f157])).
% 0.07/5.40 fof(f160,definition,(
% 0.07/5.40 ![X3,X4]: (sQ14_spl <=> (~multiply(X3,X4)=sk_c9|~inverse(X3)=X4|~multiply(X4,sk_c8)=sk_c9))),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f161,plain,(
% 0.07/5.40 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c9|~sQ14_spl)),
% 0.07/5.40 inference(component_clause,[status(thm)],[f160])).
% 0.07/5.40 fof(f163,definition,(
% 0.07/5.40 ![X5]: (sQ15_spl <=> (~multiply(X5,sk_c9)=sk_c7|~inverse(X5)=sk_c9))),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f164,plain,(
% 0.07/5.40 ![X0]: (~multiply(X0,sk_c9)=sk_c7|~inverse(X0)=sk_c9|~sQ15_spl)),
% 0.07/5.40 inference(component_clause,[status(thm)],[f163])).
% 0.07/5.40 fof(f166,plain,(
% 0.07/5.40 ~sQ0_spl|sQ12_spl|sQ13_spl|~sQ1_spl|sQ14_spl|sQ15_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f81,f82,f154,f157,f85,f160,f163])).
% 0.07/5.40 fof(f167,plain,(
% 0.07/5.40 ~inverse(sk_c6)=sk_c9|~sQ15_spl|~sQ5_spl),
% 0.07/5.40 inference(resolution,[status(thm)],[f164,f102])).
% 0.07/5.40 fof(f169,plain,(
% 0.07/5.40 ~sk_c8=sk_c7|~inverse(sk_c1)=sk_c9|~sQ15_spl|~sQ7_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f110,f164])).
% 0.07/5.40 fof(f171,plain,(
% 0.07/5.40 ~sk_c9=sk_c9|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f106,f167])).
% 0.07/5.40 fof(f172,plain,(
% 0.07/5.40 $false|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.07/5.40 inference(trivial_equality_resolution,[status(thm)],[f171])).
% 0.07/5.40 fof(f173,plain,(
% 0.07/5.40 ~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.07/5.40 inference(contradiction_clause,[status(thm)],[f172])).
% 0.07/5.40 fof(f174,plain,(
% 0.07/5.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c8)=sk_c9|~sQ14_spl)),
% 0.07/5.40 inference(destructive_equality_resolution,[status(thm)],[f161])).
% 0.07/5.40 fof(f175,plain,(
% 0.07/5.40 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~sQ13_spl)),
% 0.07/5.40 inference(destructive_equality_resolution,[status(thm)],[f158])).
% 0.07/5.40 fof(f176,plain,(
% 0.07/5.40 ~inverse(sk_c1)=sk_c9|~sQ12_spl|~sQ7_spl),
% 0.07/5.40 inference(resolution,[status(thm)],[f155,f110])).
% 0.07/5.40 fof(f177,plain,(
% 0.07/5.40 ~sk_c7=sk_c8|~inverse(sk_c6)=sk_c9|~sQ12_spl|~sQ5_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f102,f155])).
% 0.07/5.40 fof(f180,plain,(
% 0.07/5.40 ~sk_c9=sk_c9|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f119,f176])).
% 0.07/5.40 fof(f181,plain,(
% 0.07/5.40 $false|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.07/5.40 inference(trivial_equality_resolution,[status(thm)],[f180])).
% 0.07/5.40 fof(f182,plain,(
% 0.07/5.40 ~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.07/5.40 inference(contradiction_clause,[status(thm)],[f181])).
% 0.07/5.40 fof(f191,plain,(
% 0.07/5.40 ~multiply(sk_c6,inverse(sk_c6))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ14_spl|~sQ6_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f106,f174])).
% 0.07/5.40 fof(f192,plain,(
% 0.07/5.40 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|~multiply(sk_c5,sk_c8)=sk_c9|~sQ14_spl|~sQ3_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f94,f174])).
% 0.07/5.40 fof(f193,plain,(
% 0.07/5.40 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ14_spl|~sQ8_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f119,f174])).
% 0.07/5.40 fof(f194,plain,(
% 0.07/5.40 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ14_spl|~sQ11_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f146,f174])).
% 0.07/5.40 fof(f195,definition,(
% 0.07/5.40 sQ16_spl <=> (multiply(sk_c6,inverse(sk_c6))=sk_c9)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f198,definition,(
% 0.07/5.40 sQ17_spl <=> (multiply(sk_c9,sk_c8)=sk_c9)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f200,plain,(
% 0.07/5.40 ~multiply(sk_c9,sk_c8)=sk_c9|sQ17_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f198])).
% 0.07/5.40 fof(f201,plain,(
% 0.07/5.40 ~sQ16_spl|~sQ17_spl|~sQ14_spl|~sQ6_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f191,f195,f198,f160,f105])).
% 0.07/5.40 fof(f202,definition,(
% 0.07/5.40 sQ18_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c9)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f204,plain,(
% 0.07/5.40 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|sQ18_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f202])).
% 0.07/5.40 fof(f205,plain,(
% 0.07/5.40 ~sQ18_spl|~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f192,f202,f97,f160,f93])).
% 0.07/5.40 fof(f206,definition,(
% 0.07/5.40 sQ19_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c9)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f209,plain,(
% 0.07/5.40 ~sQ19_spl|~sQ17_spl|~sQ14_spl|~sQ8_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f193,f206,f198,f160,f118])).
% 0.07/5.40 fof(f210,definition,(
% 0.07/5.40 sQ20_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c9)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f213,plain,(
% 0.07/5.40 ~sQ20_spl|~sQ17_spl|~sQ14_spl|~sQ11_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f194,f210,f198,f160,f145])).
% 0.07/5.40 fof(f217,plain,(
% 0.07/5.40 multiply(sk_c9,sk_c2)=identity|~sQ11_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f146,f42])).
% 0.07/5.40 fof(f218,plain,(
% 0.07/5.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.07/5.40 fof(f219,plain,(
% 0.07/5.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f41,f218])).
% 0.07/5.40 fof(f232,plain,(
% 0.07/5.40 sk_c9=multiply(inverse(sk_c1),sk_c8)|~sQ7_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f110,f219])).
% 0.07/5.40 fof(f237,plain,(
% 0.07/5.40 sk_c5=multiply(inverse(sk_c4),sk_c9)|~sQ2_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f90,f219])).
% 0.07/5.40 fof(f246,plain,(
% 0.07/5.40 sk_c9=multiply(inverse(sk_c2),sk_c3)|~sQ10_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f137,f219])).
% 0.07/5.40 fof(f248,plain,(
% 0.07/5.40 sk_c9=multiply(sk_c9,sk_c8)|~sQ8_spl|~sQ7_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f119,f232])).
% 0.07/5.40 fof(f249,plain,(
% 0.07/5.40 sk_c9=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f83,f248])).
% 0.07/5.40 fof(f250,plain,(
% 0.07/5.40 sk_c5=multiply(sk_c5,sk_c9)|~sQ3_spl|~sQ2_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f94,f237])).
% 0.07/5.40 fof(f251,plain,(
% 0.07/5.40 sk_c9=multiply(sk_c9,sk_c3)|~sQ11_spl|~sQ10_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f146,f246])).
% 0.07/5.40 fof(f252,plain,(
% 0.07/5.40 sk_c9=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f128,f251])).
% 0.07/5.40 fof(f254,plain,(
% 0.07/5.40 multiply(sk_c7,sk_c2)=identity|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.07/5.40 inference(backward_demodulation,[status(thm)],[f249,f217])).
% 0.07/5.40 fof(f257,plain,(
% 0.07/5.40 multiply(sk_c7,sk_c8)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.07/5.40 inference(backward_demodulation,[status(thm)],[f249,f83])).
% 0.07/5.40 fof(f266,plain,(
% 0.07/5.40 inverse(sk_c2)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.07/5.40 inference(backward_demodulation,[status(thm)],[f249,f146])).
% 0.07/5.40 fof(f267,plain,(
% 0.07/5.40 sk_c7=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f249,f252])).
% 0.07/5.40 fof(f272,plain,(
% 0.07/5.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f249,f175])).
% 0.07/5.40 fof(f273,plain,(
% 0.07/5.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c8|~inverse(X0)=sk_c9|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f249,f272])).
% 0.07/5.40 fof(f274,plain,(
% 0.07/5.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c7|~inverse(X0)=sk_c9|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f267,f273])).
% 0.07/5.40 fof(f275,plain,(
% 0.07/5.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c7|~inverse(X0)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f249,f274])).
% 0.07/5.40 fof(f276,plain,(
% 0.07/5.40 ~multiply(sk_c7,identity)=sk_c7|~inverse(inverse(sk_c7))=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f42,f275])).
% 0.07/5.40 fof(f279,definition,(
% 0.07/5.40 sQ21_spl <=> (multiply(sk_c7,identity)=sk_c7)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f281,plain,(
% 0.07/5.40 ~multiply(sk_c7,identity)=sk_c7|sQ21_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f279])).
% 0.07/5.40 fof(f282,definition,(
% 0.07/5.40 sQ22_spl <=> (inverse(inverse(sk_c7))=sk_c7)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f284,plain,(
% 0.07/5.40 ~inverse(inverse(sk_c7))=sk_c7|sQ22_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f282])).
% 0.07/5.40 fof(f285,plain,(
% 0.07/5.40 ~sQ21_spl|~sQ22_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f276,f279,f282,f127,f145,f136,f82,f118,f109,f157])).
% 0.07/5.40 fof(f302,plain,(
% 0.07/5.40 multiply(sk_c7,sk_c7)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f267,f257])).
% 0.07/5.40 fof(f304,plain,(
% 0.07/5.40 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.07/5.40 inference(paramodulation,[status(thm)],[f302,f219])).
% 0.07/5.40 fof(f310,plain,(
% 0.07/5.40 sk_c7=identity|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f42,f304])).
% 0.07/5.40 fof(f312,plain,(
% 0.07/5.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.07/5.40 inference(backward_demodulation,[status(thm)],[f310,f42])).
% 0.07/5.40 fof(f313,plain,(
% 0.07/5.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.07/5.40 inference(backward_demodulation,[status(thm)],[f310,f41])).
% 0.07/5.40 fof(f321,plain,(
% 0.07/5.40 sk_c7=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.07/5.40 inference(backward_demodulation,[status(thm)],[f322,f310])).
% 0.07/5.40 fof(f322,plain,(
% 0.07/5.40 sk_c2=identity|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f313,f254])).
% 0.07/5.40 fof(f324,plain,(
% 0.07/5.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.07/5.40 inference(backward_demodulation,[status(thm)],[f321,f313])).
% 0.07/5.40 fof(f326,plain,(
% 0.07/5.40 inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.07/5.40 inference(backward_demodulation,[status(thm)],[f321,f266])).
% 0.07/5.40 fof(f329,plain,(
% 0.07/5.40 sk_c2=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.07/5.40 inference(backward_demodulation,[status(thm)],[f321,f267])).
% 0.07/5.40 fof(f330,plain,(
% 0.07/5.40 sk_c9=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.07/5.40 inference(backward_demodulation,[status(thm)],[f321,f249])).
% 0.07/5.40 fof(f386,plain,(
% 0.07/5.40 ~multiply(sk_c2,identity)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ21_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f321,f281])).
% 0.07/5.40 fof(f387,plain,(
% 0.07/5.40 ~identity=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ21_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f324,f386])).
% 0.07/5.40 fof(f388,plain,(
% 0.07/5.40 ~sk_c2=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ21_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f322,f387])).
% 0.07/5.40 fof(f389,plain,(
% 0.07/5.40 ~sk_c2=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ21_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f321,f388])).
% 0.07/5.40 fof(f390,plain,(
% 0.07/5.40 $false|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ21_spl),
% 0.07/5.40 inference(trivial_equality_resolution,[status(thm)],[f389])).
% 0.07/5.40 fof(f391,plain,(
% 0.07/5.40 ~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ21_spl),
% 0.07/5.40 inference(contradiction_clause,[status(thm)],[f390])).
% 0.07/5.40 fof(f398,definition,(
% 0.07/5.40 sQ27_spl <=> (sk_c7=sk_c7)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f400,plain,(
% 0.07/5.40 ~sk_c7=sk_c7|sQ27_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f398])).
% 0.07/5.40 fof(f402,definition,(
% 0.07/5.40 sQ28_spl <=> (sk_c8=sk_c7)),
% 0.07/5.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.07/5.40 fof(f403,plain,(
% 0.07/5.40 sk_c8=sk_c7|~sQ28_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f402])).
% 0.07/5.40 fof(f404,plain,(
% 0.07/5.40 ~sk_c8=sk_c7|sQ28_spl),
% 0.07/5.40 inference(component_clause,[status(thm)],[f402])).
% 0.07/5.40 fof(f405,plain,(
% 0.07/5.40 ~sQ28_spl|~sQ8_spl|~sQ15_spl|~sQ7_spl),
% 0.07/5.40 inference(split_clause,[status(thm)],[f169,f402,f118,f163,f109])).
% 0.07/5.40 fof(f411,plain,(
% 0.07/5.40 ~sk_c2=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ28_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f329,f404])).
% 0.07/5.40 fof(f412,plain,(
% 0.07/5.40 ~sk_c2=sk_c2|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ28_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f321,f411])).
% 0.07/5.40 fof(f413,plain,(
% 0.07/5.40 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ28_spl),
% 0.07/5.40 inference(trivial_equality_resolution,[status(thm)],[f412])).
% 0.07/5.40 fof(f414,plain,(
% 0.07/5.40 ~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ28_spl),
% 0.07/5.40 inference(contradiction_clause,[status(thm)],[f413])).
% 0.07/5.40 fof(f421,plain,(
% 0.07/5.40 ~inverse(inverse(sk_c2))=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ22_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f321,f284])).
% 0.07/5.40 fof(f422,plain,(
% 0.07/5.40 ~inverse(sk_c2)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ22_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f326,f421])).
% 0.07/5.40 fof(f423,plain,(
% 0.07/5.40 ~sk_c2=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ22_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f326,f422])).
% 0.07/5.40 fof(f424,plain,(
% 0.07/5.40 ~sk_c2=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ22_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f321,f423])).
% 0.07/5.40 fof(f425,plain,(
% 0.07/5.40 $false|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ22_spl),
% 0.07/5.40 inference(trivial_equality_resolution,[status(thm)],[f424])).
% 0.07/5.40 fof(f426,plain,(
% 0.07/5.40 ~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ22_spl),
% 0.07/5.40 inference(contradiction_clause,[status(thm)],[f425])).
% 0.07/5.40 fof(f427,plain,(
% 0.07/5.40 $false|sQ27_spl),
% 0.07/5.40 inference(trivial_equality_resolution,[status(thm)],[f400])).
% 0.07/5.40 fof(f428,plain,(
% 0.07/5.40 sQ27_spl),
% 0.07/5.40 inference(contradiction_clause,[status(thm)],[f427])).
% 0.07/5.40 fof(f429,plain,(
% 0.07/5.40 ~multiply(sk_c4,sk_c5)=sk_c9|~sQ3_spl|sQ18_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f94,f204])).
% 0.07/5.40 fof(f443,plain,(
% 0.07/5.40 ~sk_c9=sk_c9|~sQ2_spl|~sQ3_spl|sQ18_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f90,f429])).
% 0.07/5.40 fof(f444,plain,(
% 0.07/5.40 $false|~sQ2_spl|~sQ3_spl|sQ18_spl),
% 0.07/5.40 inference(trivial_equality_resolution,[status(thm)],[f443])).
% 0.07/5.40 fof(f445,plain,(
% 0.07/5.40 ~sQ2_spl|~sQ3_spl|sQ18_spl),
% 0.07/5.40 inference(contradiction_clause,[status(thm)],[f444])).
% 0.07/5.40 fof(f446,plain,(
% 0.07/5.40 $false|sQ17_spl|~sQ8_spl|~sQ7_spl),
% 0.07/5.40 inference(forward_subsumption_resolution,[status(thm)],[f248,f200])).
% 0.07/5.40 fof(f447,plain,(
% 0.07/5.40 sQ17_spl|~sQ8_spl|~sQ7_spl),
% 0.07/5.40 inference(contradiction_clause,[status(thm)],[f446])).
% 0.07/5.40 fof(f451,plain,(
% 0.07/5.40 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f321,f312])).
% 0.07/5.40 fof(f537,plain,(
% 0.07/5.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c8)=sk_c9|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl)),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f330,f174])).
% 0.07/5.40 fof(f538,plain,(
% 0.07/5.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c2)=sk_c9|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl)),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f329,f537])).
% 0.07/5.40 fof(f539,plain,(
% 0.07/5.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c2)=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl)),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f330,f538])).
% 0.07/5.40 fof(f540,plain,(
% 0.07/5.40 ~multiply(sk_c2,inverse(sk_c2))=sk_c2|~sQ14_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.07/5.40 inference(resolution,[status(thm)],[f539,f451])).
% 0.07/5.40 fof(f543,plain,(
% 0.07/5.40 ~inverse(sk_c2)=sk_c2|~sQ14_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.07/5.40 inference(forward_demodulation,[status(thm)],[f324,f540])).
% 0.07/5.40 fof(f544,plain,(
% 0.07/5.40 ~sk_c2=sk_c2|~sQ14_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f326,f543])).
% 0.12/5.40 fof(f545,plain,(
% 0.12/5.40 $false|~sQ14_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/5.40 inference(trivial_equality_resolution,[status(thm)],[f544])).
% 0.12/5.40 fof(f546,plain,(
% 0.12/5.40 ~sQ14_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f545])).
% 0.12/5.40 fof(f573,plain,(
% 0.12/5.40 sk_c9=multiply(inverse(sk_c5),sk_c5)|~sQ3_spl|~sQ2_spl),
% 0.12/5.40 inference(paramodulation,[status(thm)],[f250,f219])).
% 0.12/5.40 fof(f575,plain,(
% 0.12/5.40 sk_c9=identity|~sQ3_spl|~sQ2_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f42,f573])).
% 0.12/5.40 fof(f578,plain,(
% 0.12/5.40 ![X0]: (multiply(sk_c9,X0)=X0|~sQ3_spl|~sQ2_spl)),
% 0.12/5.40 inference(backward_demodulation,[status(thm)],[f575,f41])).
% 0.12/5.40 fof(f579,plain,(
% 0.12/5.40 sk_c7=sk_c8|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.12/5.40 inference(backward_demodulation,[status(thm)],[f578,f86])).
% 0.12/5.40 fof(f585,plain,(
% 0.12/5.40 sk_c9=multiply(inverse(sk_c6),sk_c7)|~sQ5_spl),
% 0.12/5.40 inference(paramodulation,[status(thm)],[f102,f219])).
% 0.12/5.40 fof(f587,plain,(
% 0.12/5.40 sk_c9=multiply(sk_c9,sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f106,f585])).
% 0.12/5.40 fof(f588,plain,(
% 0.12/5.40 sk_c9=sk_c7|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f578,f587])).
% 0.12/5.40 fof(f590,plain,(
% 0.12/5.40 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ3_spl|~sQ2_spl|~sQ13_spl)),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f578,f175])).
% 0.12/5.40 fof(f591,plain,(
% 0.12/5.40 ![X0]: (~multiply(X0,sk_c9)=sk_c7|~inverse(X0)=sk_c9|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ13_spl)),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f579,f590])).
% 0.12/5.40 fof(f592,plain,(
% 0.12/5.40 ~inverse(sk_c6)=sk_c9|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ13_spl|~sQ5_spl),
% 0.12/5.40 inference(resolution,[status(thm)],[f591,f102])).
% 0.12/5.40 fof(f597,plain,(
% 0.12/5.40 ~sQ6_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ13_spl|~sQ5_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f592,f105,f85,f93,f89,f157,f101])).
% 0.12/5.40 fof(f614,plain,(
% 0.12/5.40 ~sQ28_spl|~sQ6_spl|~sQ12_spl|~sQ5_spl),
% 0.12/5.40 inference(split_clause,[status(thm)],[f177,f402,f105,f154,f101])).
% 0.12/5.40 fof(f615,definition,(
% 0.12/5.40 sQ34_spl <=> (sk_c8=sk_c8)),
% 0.12/5.40 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/5.40 fof(f617,plain,(
% 0.12/5.40 ~sk_c8=sk_c8|sQ34_spl),
% 0.12/5.40 inference(component_clause,[status(thm)],[f615])).
% 0.12/5.40 fof(f619,plain,(
% 0.12/5.40 ~sk_c7=sk_c7|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ28_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f579,f404])).
% 0.12/5.40 fof(f620,plain,(
% 0.12/5.40 $false|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ28_spl),
% 0.12/5.40 inference(trivial_equality_resolution,[status(thm)],[f619])).
% 0.12/5.40 fof(f621,plain,(
% 0.12/5.40 ~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ28_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f620])).
% 0.12/5.40 fof(f622,plain,(
% 0.12/5.40 $false|sQ34_spl),
% 0.12/5.40 inference(trivial_equality_resolution,[status(thm)],[f617])).
% 0.12/5.40 fof(f623,plain,(
% 0.12/5.40 sQ34_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f622])).
% 0.12/5.40 fof(f744,plain,(
% 0.12/5.40 ~multiply(sk_c2,sk_c7)=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f330,f87])).
% 0.12/5.40 fof(f745,plain,(
% 0.12/5.40 ~sk_c7=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f324,f744])).
% 0.12/5.40 fof(f746,plain,(
% 0.12/5.40 ~sk_c2=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f321,f745])).
% 0.12/5.40 fof(f747,plain,(
% 0.12/5.40 ~sk_c2=sk_c2|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f329,f746])).
% 0.12/5.40 fof(f748,plain,(
% 0.12/5.40 $false|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/5.40 inference(trivial_equality_resolution,[status(thm)],[f747])).
% 0.12/5.40 fof(f749,plain,(
% 0.12/5.40 ~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f748])).
% 0.12/5.40 fof(f750,plain,(
% 0.12/5.40 sk_c7=identity|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl),
% 0.12/5.40 inference(backward_demodulation,[status(thm)],[f588,f575])).
% 0.12/5.40 fof(f752,plain,(
% 0.12/5.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl)),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f750,f41])).
% 0.12/5.40 fof(f758,plain,(
% 0.12/5.40 inverse(sk_c6)=sk_c7|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f588,f106])).
% 0.12/5.40 fof(f759,plain,(
% 0.12/5.40 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl)),
% 0.12/5.40 inference(paramodulation,[status(thm)],[f758,f219])).
% 0.12/5.40 fof(f760,plain,(
% 0.12/5.40 ![X0]: (X0=multiply(sk_c6,X0)|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl)),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f752,f759])).
% 0.12/5.40 fof(f764,plain,(
% 0.12/5.40 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl)),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f750,f42])).
% 0.12/5.40 fof(f765,plain,(
% 0.12/5.40 multiply(sk_c7,sk_c6)=sk_c7|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl),
% 0.12/5.40 inference(paramodulation,[status(thm)],[f758,f764])).
% 0.12/5.40 fof(f769,plain,(
% 0.12/5.40 sk_c6=sk_c7|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f752,f765])).
% 0.12/5.40 fof(f777,plain,(
% 0.12/5.40 sk_c9=sk_c6|~sQ3_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl),
% 0.12/5.40 inference(backward_demodulation,[status(thm)],[f769,f588])).
% 0.12/5.40 fof(f778,plain,(
% 0.12/5.40 sk_c8=sk_c6|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl|~sQ28_spl),
% 0.12/5.40 inference(backward_demodulation,[status(thm)],[f769,f403])).
% 0.12/5.40 fof(f779,plain,(
% 0.12/5.40 ~multiply(sk_c9,sk_c8)=sk_c6|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl|sQ0_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f769,f84])).
% 0.12/5.40 fof(f788,plain,(
% 0.12/5.40 ~multiply(sk_c6,sk_c8)=sk_c6|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl|sQ0_spl),
% 0.12/5.40 inference(backward_demodulation,[status(thm)],[f777,f779])).
% 0.12/5.40 fof(f789,plain,(
% 0.12/5.40 ~sk_c8=sk_c6|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl|sQ0_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f760,f788])).
% 0.12/5.40 fof(f790,plain,(
% 0.12/5.40 ~sk_c6=sk_c6|~sQ28_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl|sQ0_spl),
% 0.12/5.40 inference(forward_demodulation,[status(thm)],[f778,f789])).
% 0.12/5.40 fof(f791,plain,(
% 0.12/5.40 $false|~sQ28_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl|sQ0_spl),
% 0.12/5.40 inference(trivial_equality_resolution,[status(thm)],[f790])).
% 0.12/5.40 fof(f792,plain,(
% 0.12/5.40 ~sQ28_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl|sQ0_spl),
% 0.12/5.40 inference(contradiction_clause,[status(thm)],[f791])).
% 0.12/5.40 fof(f793,plain,(
% 0.12/5.40 $false),
% 0.12/5.40 inference(sat_refutation,[status(thm)],[f88,f92,f96,f104,f108,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f166,f173,f182,f201,f205,f209,f213,f285,f391,f405,f414,f426,f428,f445,f447,f546,f597,f614,f621,f623,f749,f792])).
% 0.12/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.43 % Elapsed time: 0.054181 seconds
% 0.12/5.43 % CPU time: 0.212213 seconds
% 0.12/5.43 % Total memory used: 104.798 MB
% 0.12/5.43 % Net memory used: 104.592 MB
%------------------------------------------------------------------------------