%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP251-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:36:19 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP251-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:07:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f10,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f12,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f13,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f14,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f15,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f16,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f17,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f19,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f20,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f21,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f22,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f23,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f24,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f25,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f26,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f27,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f28,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f29,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f30,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f31,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f32,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f33,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c3) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f34,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f35,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c3) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f36,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f37,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f38,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c3) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f39,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f40,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c3,sk_c8) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f41,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f42,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c3,sk_c8) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f43,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f44,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f45,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c3,sk_c8) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f46,negated_conjecture,(
% 0.14/0.40 (![X4,X5,X6,X1,X2,X3,X7]: (( multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| multiply(X5,sk_c9) != sk_c8| inverse(X5) != sk_c9| inverse(X6) != sk_c9| multiply(X6,sk_c8) != sk_c9| multiply(X1,sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8| multiply(sk_c9,X3) != sk_c8| multiply(X7,sk_c9) != X3| inverse(X7) != sk_c9 ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f47,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f48,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f49,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f50,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f51,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f52,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f53,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.40 fof(f54,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f55,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.40 fof(f57,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f58,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40 fof(f59,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f60,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.40 fof(f61,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f62,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.40 fof(f63,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.40 fof(f65,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c4)=sk_c10),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f66,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.40 fof(f67,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.40 fof(f68,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.40 fof(f69,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.40 fof(f70,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f71,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.40 fof(f72,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.40 fof(f73,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.40 fof(f74,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.40 fof(f75,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f76,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.40 fof(f77,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.40 fof(f78,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.40 fof(f79,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.40 fof(f80,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.40 fof(f81,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.40 fof(f82,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.40 fof(f83,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.40 fof(f84,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.40 fof(f85,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.40 fof(f86,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.40 fof(f87,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.40 fof(f88,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.40 fof(f89,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.14/0.40 fof(f90,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.40 fof(f91,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.14/0.40 fof(f92,plain,(
% 0.14/0.40 ![X7]: ((![X3]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10))|~multiply(X5,sk_c9)=sk_c8)|~inverse(X5)=sk_c9))|~inverse(X6)=sk_c9)|~multiply(X6,sk_c8)=sk_c9))|~multiply(X1,sk_c10)=sk_c9)|~inverse(X1)=sk_c10))|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8))|~multiply(sk_c9,X3)=sk_c8)|~multiply(X7,sk_c9)=X3))|~inverse(X7)=sk_c9)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f46])).
% 0.14/0.40 fof(f93,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9|~inverse(X2)=sk_c9|~multiply(X2,sk_c8)=sk_c9|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8|~multiply(sk_c9,X5)=sk_c8|~multiply(X6,sk_c9)=X5|~inverse(X6)=sk_c9)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f92])).
% 0.14/0.40 fof(f94,definition,(
% 0.14/0.40 sQ0_spl <=> (multiply(sk_c1,sk_c10)=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f95,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c10)=sk_c9|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f94])).
% 0.14/0.40 fof(f97,definition,(
% 0.14/0.40 sQ1_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f98,plain,(
% 0.14/0.40 multiply(sk_c4,sk_c10)=sk_c9|~sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.40 fof(f100,plain,(
% 0.14/0.40 sQ0_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.14/0.40 fof(f101,definition,(
% 0.14/0.40 sQ2_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f102,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c10|~sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.40 fof(f104,plain,(
% 0.14/0.40 sQ0_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.14/0.40 fof(f105,definition,(
% 0.14/0.40 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f106,plain,(
% 0.14/0.40 multiply(sk_c5,sk_c8)=sk_c9|~sQ3_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.40 fof(f108,plain,(
% 0.14/0.40 sQ0_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.14/0.40 fof(f109,definition,(
% 0.14/0.40 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f110,plain,(
% 0.14/0.40 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.40 fof(f112,plain,(
% 0.14/0.40 sQ0_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.14/0.40 fof(f113,definition,(
% 0.14/0.40 sQ5_spl <=> (multiply(sk_c9,sk_c7)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f114,plain,(
% 0.14/0.40 multiply(sk_c9,sk_c7)=sk_c8|~sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f113])).
% 0.14/0.40 fof(f116,plain,(
% 0.14/0.40 sQ0_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f54,f94,f113])).
% 0.14/0.40 fof(f117,definition,(
% 0.14/0.40 sQ6_spl <=> (multiply(sk_c6,sk_c9)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f118,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c9)=sk_c7|~sQ6_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.40 fof(f120,plain,(
% 0.14/0.40 sQ0_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f55,f94,f117])).
% 0.14/0.40 fof(f121,definition,(
% 0.14/0.40 sQ7_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f122,plain,(
% 0.14/0.40 inverse(sk_c6)=sk_c9|~sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.40 fof(f124,plain,(
% 0.14/0.40 sQ0_spl|sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f56,f94,f121])).
% 0.14/0.40 fof(f125,definition,(
% 0.14/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c10)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f126,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c10|~sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.40 fof(f128,plain,(
% 0.14/0.40 sQ8_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.14/0.40 fof(f129,plain,(
% 0.14/0.40 sQ8_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.14/0.40 fof(f130,plain,(
% 0.14/0.40 sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.14/0.40 fof(f131,plain,(
% 0.14/0.40 sQ8_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.14/0.40 fof(f132,plain,(
% 0.14/0.40 sQ8_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.14/0.40 fof(f133,plain,(
% 0.14/0.40 sQ8_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.14/0.40 fof(f134,plain,(
% 0.14/0.40 sQ8_spl|sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.14/0.40 fof(f135,definition,(
% 0.14/0.40 sQ9_spl <=> (multiply(sk_c2,sk_c9)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f136,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c9)=sk_c8|~sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f135])).
% 0.14/0.40 fof(f138,plain,(
% 0.14/0.40 sQ9_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f64,f135,f97])).
% 0.14/0.40 fof(f139,plain,(
% 0.14/0.40 sQ9_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f65,f135,f101])).
% 0.14/0.40 fof(f140,plain,(
% 0.14/0.40 sQ9_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.14/0.40 fof(f141,plain,(
% 0.14/0.40 sQ9_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.14/0.40 fof(f142,plain,(
% 0.14/0.40 sQ9_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.14/0.40 fof(f143,plain,(
% 0.14/0.40 sQ9_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.14/0.40 fof(f144,plain,(
% 0.14/0.40 sQ9_spl|sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.14/0.40 fof(f145,definition,(
% 0.14/0.40 sQ10_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f146,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c9|~sQ10_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f145])).
% 0.14/0.40 fof(f148,plain,(
% 0.14/0.40 sQ10_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f71,f145,f97])).
% 0.14/0.40 fof(f149,plain,(
% 0.14/0.40 sQ10_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f72,f145,f101])).
% 0.14/0.40 fof(f150,plain,(
% 0.14/0.40 sQ10_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.14/0.40 fof(f151,plain,(
% 0.14/0.40 sQ10_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.14/0.40 fof(f152,plain,(
% 0.14/0.40 sQ10_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.14/0.40 fof(f153,plain,(
% 0.14/0.40 sQ10_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.14/0.40 fof(f154,plain,(
% 0.14/0.40 sQ10_spl|sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.14/0.40 fof(f155,definition,(
% 0.14/0.40 sQ11_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f156,plain,(
% 0.14/0.40 inverse(sk_c3)=sk_c9|~sQ11_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f155])).
% 0.14/0.40 fof(f158,plain,(
% 0.14/0.40 sQ11_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f78,f155,f97])).
% 0.14/0.40 fof(f159,plain,(
% 0.14/0.40 sQ11_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f79,f155,f101])).
% 0.14/0.40 fof(f160,plain,(
% 0.14/0.40 sQ11_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f80,f155,f105])).
% 0.14/0.40 fof(f161,plain,(
% 0.14/0.40 sQ11_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f81,f155,f109])).
% 0.14/0.40 fof(f162,plain,(
% 0.14/0.40 sQ11_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f82,f155,f113])).
% 0.14/0.40 fof(f163,plain,(
% 0.14/0.40 sQ11_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f83,f155,f117])).
% 0.14/0.40 fof(f164,plain,(
% 0.14/0.40 sQ11_spl|sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f84,f155,f121])).
% 0.14/0.40 fof(f165,definition,(
% 0.14/0.40 sQ12_spl <=> (multiply(sk_c3,sk_c8)=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f166,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c8)=sk_c9|~sQ12_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f165])).
% 0.14/0.40 fof(f168,plain,(
% 0.14/0.40 sQ12_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f85,f165,f97])).
% 0.14/0.40 fof(f169,plain,(
% 0.14/0.40 sQ12_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f86,f165,f101])).
% 0.14/0.40 fof(f170,plain,(
% 0.14/0.40 sQ12_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f87,f165,f105])).
% 0.14/0.40 fof(f171,plain,(
% 0.14/0.40 sQ12_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f88,f165,f109])).
% 0.14/0.40 fof(f172,plain,(
% 0.14/0.40 sQ12_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f89,f165,f113])).
% 0.14/0.40 fof(f173,plain,(
% 0.14/0.40 sQ12_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f90,f165,f117])).
% 0.14/0.40 fof(f174,plain,(
% 0.14/0.40 sQ12_spl|sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f91,f165,f121])).
% 0.14/0.40 fof(f175,definition,(
% 0.14/0.40 ![X0]: (sQ13_spl <=> (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f176,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ13_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f175])).
% 0.14/0.40 fof(f178,definition,(
% 0.14/0.40 ![X1]: (sQ14_spl <=> (~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f179,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f178])).
% 0.14/0.40 fof(f181,definition,(
% 0.14/0.40 ![X2]: (sQ15_spl <=> (~inverse(X2)=sk_c9|~multiply(X2,sk_c8)=sk_c9))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f182,plain,(
% 0.14/0.40 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ15_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f181])).
% 0.14/0.40 fof(f184,definition,(
% 0.14/0.40 ![X4]: (sQ16_spl <=> (~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f185,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ16_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f184])).
% 0.14/0.40 fof(f187,definition,(
% 0.14/0.40 ![X5,X6]: (sQ17_spl <=> (~multiply(sk_c9,X5)=sk_c8|~multiply(X6,sk_c9)=X5|~inverse(X6)=sk_c9))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f188,plain,(
% 0.14/0.40 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ17_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f187])).
% 0.14/0.40 fof(f190,plain,(
% 0.14/0.40 sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl|sQ17_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f93,f175,f178,f181,f184,f187])).
% 0.14/0.40 fof(f191,plain,(
% 0.14/0.40 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~sQ17_spl)),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f188])).
% 0.14/0.40 fof(f209,plain,(
% 0.14/0.40 ~multiply(sk_c9,sk_c7)=sk_c8|~inverse(sk_c6)=sk_c9|~sQ17_spl|~sQ6_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f118,f191])).
% 0.14/0.40 fof(f211,plain,(
% 0.14/0.40 ~sQ5_spl|~sQ7_spl|~sQ17_spl|~sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f209,f113,f121,f187,f117])).
% 0.14/0.40 fof(f212,definition,(
% 0.14/0.40 sQ18_spl <=> (multiply(sk_c9,sk_c8)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f214,plain,(
% 0.14/0.40 ~multiply(sk_c9,sk_c8)=sk_c8|sQ18_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f212])).
% 0.14/0.40 fof(f216,plain,(
% 0.14/0.40 ~inverse(sk_c5)=sk_c8|~sQ16_spl|~sQ3_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f185,f106])).
% 0.14/0.40 fof(f221,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f110,f216])).
% 0.14/0.40 fof(f222,plain,(
% 0.14/0.40 $false|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f221])).
% 0.14/0.40 fof(f223,plain,(
% 0.14/0.40 ~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f222])).
% 0.14/0.40 fof(f230,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.14/0.40 fof(f231,plain,(
% 0.14/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f47,f230])).
% 0.14/0.40 fof(f256,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f47,f231])).
% 0.14/0.40 fof(f259,plain,(
% 0.14/0.40 sk_c10=multiply(inverse(sk_c4),sk_c9)|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f98,f231])).
% 0.14/0.40 fof(f263,plain,(
% 0.14/0.40 sk_c10=multiply(inverse(sk_c1),sk_c9)|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f95,f231])).
% 0.14/0.40 fof(f264,plain,(
% 0.14/0.40 sk_c9=multiply(inverse(sk_c2),sk_c8)|~sQ9_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f136,f231])).
% 0.14/0.40 fof(f265,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c3),sk_c9)|~sQ12_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f166,f231])).
% 0.14/0.40 fof(f268,plain,(
% 0.14/0.40 sk_c10=multiply(sk_c10,sk_c9)|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f102,f259])).
% 0.14/0.40 fof(f270,plain,(
% 0.14/0.40 sk_c10=multiply(sk_c10,sk_c9)|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f126,f263])).
% 0.14/0.40 fof(f271,plain,(
% 0.14/0.40 sk_c9=multiply(sk_c9,sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f146,f264])).
% 0.14/0.40 fof(f272,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c9,sk_c9)|~sQ11_spl|~sQ12_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f156,f265])).
% 0.14/0.40 fof(f278,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f256,f231])).
% 0.14/0.40 fof(f281,plain,(
% 0.14/0.40 sk_c9=multiply(inverse(sk_c10),sk_c10)|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f268,f231])).
% 0.14/0.40 fof(f284,plain,(
% 0.14/0.40 sk_c9=identity|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f48,f281])).
% 0.14/0.40 fof(f291,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ2_spl|~sQ1_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f284,f48])).
% 0.14/0.40 fof(f292,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c9,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f284,f47])).
% 0.14/0.40 fof(f294,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|~sQ2_spl|~sQ1_spl|sQ18_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f292,f214])).
% 0.14/0.40 fof(f299,plain,(
% 0.14/0.40 $false|~sQ2_spl|~sQ1_spl|sQ18_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f294])).
% 0.14/0.40 fof(f300,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ1_spl|sQ18_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f299])).
% 0.14/0.40 fof(f301,plain,(
% 0.14/0.40 ~inverse(sk_c5)=sk_c9|~sQ15_spl|~sQ3_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f182,f106])).
% 0.14/0.40 fof(f302,plain,(
% 0.14/0.40 ~inverse(sk_c3)=sk_c9|~sQ15_spl|~sQ12_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f182,f166])).
% 0.14/0.40 fof(f306,plain,(
% 0.14/0.40 ~sk_c9=sk_c9|~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f156,f302])).
% 0.14/0.40 fof(f307,plain,(
% 0.14/0.40 $false|~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f306])).
% 0.14/0.40 fof(f308,plain,(
% 0.14/0.40 ~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f307])).
% 0.14/0.40 fof(f311,plain,(
% 0.14/0.40 ~identity=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~sQ14_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f48,f179])).
% 0.14/0.40 fof(f313,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.14/0.40 fof(f314,definition,(
% 0.14/0.40 sQ19_spl <=> (identity=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f316,plain,(
% 0.14/0.40 ~identity=sk_c8|sQ19_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f314])).
% 0.14/0.40 fof(f317,definition,(
% 0.14/0.40 sQ20_spl <=> (inverse(inverse(sk_c9))=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f319,plain,(
% 0.14/0.40 ~inverse(inverse(sk_c9))=sk_c9|sQ20_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f317])).
% 0.14/0.40 fof(f320,plain,(
% 0.14/0.40 ~sQ19_spl|~sQ20_spl|~sQ14_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f311,f314,f317,f178])).
% 0.14/0.40 fof(f321,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f231,f313])).
% 0.14/0.40 fof(f322,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ2_spl|~sQ1_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f284,f48])).
% 0.14/0.40 fof(f323,plain,(
% 0.14/0.40 ~sk_c9=sk_c8|~sQ2_spl|~sQ1_spl|sQ19_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f284,f316])).
% 0.14/0.40 fof(f334,plain,(
% 0.14/0.40 multiply(sk_c9,sk_c6)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f122,f291])).
% 0.14/0.40 fof(f336,plain,(
% 0.14/0.40 sk_c6=sk_c9|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f292,f334])).
% 0.14/0.40 fof(f338,plain,(
% 0.14/0.40 inverse(sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f336,f122])).
% 0.14/0.40 fof(f342,plain,(
% 0.14/0.40 ~sk_c6=sk_c8|~sQ7_spl|~sQ2_spl|~sQ1_spl|sQ19_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f336,f323])).
% 0.14/0.40 fof(f343,plain,(
% 0.14/0.40 sk_c6=identity|~sQ7_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f336,f284])).
% 0.14/0.40 fof(f344,plain,(
% 0.14/0.40 multiply(sk_c4,sk_c10)=sk_c6|~sQ2_spl|~sQ7_spl|~sQ1_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f336,f98])).
% 0.14/0.40 fof(f348,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ7_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f343,f321])).
% 0.14/0.40 fof(f353,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f336,f114])).
% 0.14/0.40 fof(f354,plain,(
% 0.14/0.40 ~sk_c6=sk_c7|~sQ5_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|sQ19_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f356,f342])).
% 0.14/0.40 fof(f355,plain,(
% 0.14/0.40 inverse(sk_c5)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f356,f110])).
% 0.14/0.40 fof(f356,plain,(
% 0.14/0.40 sk_c7=sk_c8|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f348,f353])).
% 0.14/0.40 fof(f357,plain,(
% 0.14/0.40 sk_c9=sk_c7|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f348,f118])).
% 0.14/0.40 fof(f359,plain,(
% 0.14/0.40 sk_c6=sk_c7|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f336,f357])).
% 0.14/0.40 fof(f360,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|sQ19_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f359,f354])).
% 0.14/0.40 fof(f361,plain,(
% 0.14/0.40 $false|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|sQ19_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f360])).
% 0.14/0.40 fof(f362,plain,(
% 0.14/0.40 ~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|sQ19_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f361])).
% 0.14/0.40 fof(f365,plain,(
% 0.14/0.40 inverse(sk_c5)=sk_c6|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f359,f355])).
% 0.14/0.40 fof(f391,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c10)=sk_c6|~inverse(X0)=sk_c10|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ13_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f336,f176])).
% 0.14/0.40 fof(f437,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ7_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f336,f322])).
% 0.14/0.40 fof(f438,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c5)=sk_c6|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f365,f437])).
% 0.14/0.40 fof(f444,plain,(
% 0.14/0.40 sk_c5=sk_c6|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f348,f438])).
% 0.14/0.40 fof(f509,definition,(
% 0.14/0.40 sQ24_spl <=> (sk_c6=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f511,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|sQ24_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f509])).
% 0.14/0.40 fof(f555,plain,(
% 0.14/0.40 ~inverse(sk_c4)=sk_c10|~sQ13_spl|~sQ2_spl|~sQ7_spl|~sQ1_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f391,f344])).
% 0.14/0.40 fof(f560,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ13_spl|~sQ7_spl|~sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f555,f101,f175,f121,f97])).
% 0.14/0.40 fof(f567,plain,(
% 0.14/0.40 $false|sQ24_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f511])).
% 0.14/0.40 fof(f568,plain,(
% 0.14/0.40 sQ24_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f567])).
% 0.14/0.40 fof(f569,plain,(
% 0.14/0.40 ~inverse(inverse(sk_c6))=sk_c9|~sQ2_spl|~sQ1_spl|~sQ7_spl|sQ20_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f336,f319])).
% 0.14/0.40 fof(f570,plain,(
% 0.14/0.40 ~inverse(sk_c6)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ7_spl|sQ20_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f338,f569])).
% 0.14/0.40 fof(f571,plain,(
% 0.14/0.40 ~sk_c6=sk_c9|~sQ2_spl|~sQ1_spl|~sQ7_spl|sQ20_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f338,f570])).
% 0.14/0.40 fof(f572,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|~sQ2_spl|~sQ1_spl|~sQ7_spl|sQ20_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f336,f571])).
% 0.14/0.40 fof(f573,plain,(
% 0.14/0.40 $false|~sQ2_spl|~sQ1_spl|~sQ7_spl|sQ20_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f572])).
% 0.14/0.40 fof(f574,plain,(
% 0.14/0.40 ~sQ2_spl|~sQ1_spl|~sQ7_spl|sQ20_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f573])).
% 0.14/0.40 fof(f587,definition,(
% 0.14/0.40 sQ29_spl <=> (sk_c9=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f589,plain,(
% 0.14/0.40 ~sk_c9=sk_c9|sQ29_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f587])).
% 0.14/0.40 fof(f592,plain,(
% 0.14/0.40 ~inverse(sk_c6)=sk_c9|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f444,f301])).
% 0.14/0.40 fof(f593,plain,(
% 0.14/0.40 ~sk_c6=sk_c9|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f338,f592])).
% 0.14/0.40 fof(f594,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f336,f593])).
% 0.14/0.40 fof(f595,plain,(
% 0.14/0.40 $false|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f594])).
% 0.14/0.40 fof(f596,plain,(
% 0.14/0.40 ~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f595])).
% 0.14/0.40 fof(f597,plain,(
% 0.14/0.40 $false|sQ29_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f589])).
% 0.14/0.40 fof(f598,plain,(
% 0.14/0.40 sQ29_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f597])).
% 0.14/0.40 fof(f606,plain,(
% 0.14/0.40 ~sk_c9=sk_c8|~inverse(identity)=sk_c9|~sQ14_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f47,f179])).
% 0.14/0.40 fof(f608,definition,(
% 0.14/0.40 sQ30_spl <=> (sk_c9=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f610,plain,(
% 0.14/0.40 ~sk_c9=sk_c8|sQ30_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f608])).
% 0.14/0.40 fof(f611,definition,(
% 0.14/0.40 sQ31_spl <=> (inverse(identity)=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f613,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c9|sQ31_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f611])).
% 0.14/0.40 fof(f614,plain,(
% 0.14/0.40 ~sQ30_spl|~sQ31_spl|~sQ14_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f606,f608,f611,f178])).
% 0.14/0.40 fof(f615,plain,(
% 0.14/0.40 ~inverse(sk_c2)=sk_c9|~sQ9_spl|~sQ14_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f136,f179])).
% 0.14/0.40 fof(f619,plain,(
% 0.14/0.40 ~sQ10_spl|~sQ9_spl|~sQ14_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f615,f145,f135,f178])).
% 0.14/0.40 fof(f620,definition,(
% 0.14/0.40 sQ32_spl <=> (sk_c8=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f622,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|sQ32_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f620])).
% 0.14/0.40 fof(f625,plain,(
% 0.14/0.40 $false|sQ32_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f622])).
% 0.14/0.40 fof(f626,plain,(
% 0.14/0.40 sQ32_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f625])).
% 0.14/0.40 fof(f656,plain,(
% 0.14/0.40 ~inverse(sk_c1)=sk_c10|~sQ13_spl|~sQ0_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f176,f95])).
% 0.14/0.40 fof(f663,plain,(
% 0.14/0.40 ~sk_c10=sk_c10|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f126,f656])).
% 0.14/0.40 fof(f664,plain,(
% 0.14/0.40 $false|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f663])).
% 0.14/0.40 fof(f665,plain,(
% 0.14/0.40 ~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f664])).
% 0.14/0.40 fof(f670,plain,(
% 0.14/0.40 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(identity)=sk_c9|~sQ17_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f47,f191])).
% 0.14/0.40 fof(f685,definition,(
% 0.14/0.40 sQ36_spl <=> (multiply(sk_c9,sk_c9)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f687,plain,(
% 0.14/0.40 ~multiply(sk_c9,sk_c9)=sk_c8|sQ36_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f685])).
% 0.14/0.40 fof(f688,plain,(
% 0.14/0.40 ~sQ36_spl|~sQ31_spl|~sQ17_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f670,f685,f611,f187])).
% 0.14/0.40 fof(f689,definition,(
% 0.14/0.40 sQ37_spl <=> (inverse(inverse(identity))=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f691,plain,(
% 0.14/0.40 ~inverse(inverse(identity))=sk_c9|sQ37_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f689])).
% 0.14/0.40 fof(f693,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|~sQ11_spl|~sQ12_spl|sQ36_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f272,f687])).
% 0.14/0.40 fof(f694,plain,(
% 0.14/0.40 $false|~sQ11_spl|~sQ12_spl|sQ36_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f693])).
% 0.14/0.40 fof(f695,plain,(
% 0.14/0.40 ~sQ11_spl|~sQ12_spl|sQ36_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f694])).
% 0.14/0.40 fof(f718,plain,(
% 0.14/0.40 inverse(identity)=identity),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f48,f278])).
% 0.14/0.40 fof(f746,plain,(
% 0.14/0.40 ~sk_c9=sk_c9|~inverse(sk_c9)=sk_c8|~sQ16_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f271,f185])).
% 0.14/0.40 fof(f748,plain,(
% 0.14/0.40 ~identity=sk_c9|~inverse(inverse(sk_c8))=sk_c8|~sQ16_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f48,f185])).
% 0.14/0.40 fof(f752,definition,(
% 0.14/0.40 sQ39_spl <=> (inverse(sk_c9)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f754,plain,(
% 0.14/0.40 ~inverse(sk_c9)=sk_c8|sQ39_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f752])).
% 0.14/0.40 fof(f755,plain,(
% 0.14/0.40 ~sQ29_spl|~sQ39_spl|~sQ16_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f746,f587,f752,f184,f145,f135])).
% 0.14/0.40 fof(f760,definition,(
% 0.14/0.40 sQ41_spl <=> (identity=sk_c9)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f762,plain,(
% 0.14/0.40 ~identity=sk_c9|sQ41_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f760])).
% 0.14/0.40 fof(f763,definition,(
% 0.14/0.40 sQ42_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f766,plain,(
% 0.14/0.40 ~sQ41_spl|~sQ42_spl|~sQ16_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f748,f760,f763,f184])).
% 0.14/0.40 fof(f785,plain,(
% 0.14/0.40 ~identity=sk_c9|sQ31_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f718,f613])).
% 0.14/0.40 fof(f786,plain,(
% 0.14/0.40 ~inverse(identity)=sk_c9|sQ37_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f718,f691])).
% 0.14/0.40 fof(f787,plain,(
% 0.14/0.40 ~identity=sk_c9|sQ37_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f718,f786])).
% 0.14/0.40 fof(f825,plain,(
% 0.14/0.40 sk_c9=multiply(inverse(sk_c10),sk_c10)|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f270,f231])).
% 0.14/0.40 fof(f827,plain,(
% 0.14/0.40 sk_c9=identity|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f48,f825])).
% 0.14/0.40 fof(f828,plain,(
% 0.14/0.40 $false|sQ41_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f827,f762])).
% 0.14/0.40 fof(f829,plain,(
% 0.14/0.40 sQ41_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f828])).
% 0.14/0.40 fof(f832,plain,(
% 0.14/0.40 inverse(identity)=sk_c9|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f827,f718])).
% 0.14/0.40 fof(f836,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c9,X0)=X0|~sQ8_spl|~sQ0_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f827,f47])).
% 0.14/0.40 fof(f837,plain,(
% 0.14/0.40 inverse(sk_c9)=sk_c9|~sQ8_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f827,f832])).
% 0.14/0.40 fof(f838,plain,(
% 0.14/0.40 ~sk_c9=sk_c8|~sQ8_spl|~sQ0_spl|sQ39_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f837,f754])).
% 0.14/0.40 fof(f840,plain,(
% 0.14/0.40 sk_c8=sk_c9|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f836,f272])).
% 0.14/0.40 fof(f843,plain,(
% 0.14/0.40 $false|sQ30_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f840,f610])).
% 0.14/0.40 fof(f844,plain,(
% 0.14/0.40 sQ30_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f843])).
% 0.14/0.40 fof(f846,plain,(
% 0.14/0.40 ~sQ41_spl|sQ31_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f785,f760,f611])).
% 0.14/0.40 fof(f847,plain,(
% 0.14/0.40 ~sQ41_spl|sQ37_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f787,f760,f689])).
% 0.14/0.40 fof(f853,plain,(
% 0.14/0.40 ~sQ30_spl|~sQ8_spl|~sQ0_spl|sQ39_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f838,f608,f125,f94,f752])).
% 0.14/0.40 fof(f859,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f100,f104,f108,f112,f116,f120,f124,f128,f129,f130,f131,f132,f133,f134,f138,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f154,f158,f159,f160,f161,f162,f163,f164,f168,f169,f170,f171,f172,f173,f174,f190,f211,f223,f300,f308,f320,f362,f560,f568,f574,f596,f598,f614,f619,f626,f665,f688,f695,f755,f766,f829,f844,f846,f847,f853])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.050407 seconds
% 0.14/0.43 % CPU time: 0.154067 seconds
% 0.14/0.43 % Total memory used: 75.033 MB
% 0.14/0.43 % Net memory used: 74.952 MB
%------------------------------------------------------------------------------