%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP246-1 : 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 : n003.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 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP246-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n003.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:09:00 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f1,axiom,(
% 0.13/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f2,axiom,(
% 0.13/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f3,axiom,(
% 0.13/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f4,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f5,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f6,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f7,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f8,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c6) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f9,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f13,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f14,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f15,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f16,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f17,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| inverse(sk_c6) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f18,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f22,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f23,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f24,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f25,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f26,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c6) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f27,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f31,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c10| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f32,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c10| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f33,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c10| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f34,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f35,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c10| inverse(sk_c6) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f36,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c10| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f40,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c11| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f41,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c11| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f42,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c11| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f43,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c11| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f44,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c11| inverse(sk_c6) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f45,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c11| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f49,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c9) = sk_c11| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f50,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c9) = sk_c11| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f51,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c9) = sk_c11| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f52,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c9) = sk_c11| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f53,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c9) = sk_c11| inverse(sk_c6) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f54,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c9) = sk_c11| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f58,negated_conjecture,(
% 0.13/0.41 (![X4,X5,X6,X1,X2,X3,X7,X8]: (( multiply(X4,sk_c11) != sk_c10| inverse(X4) != sk_c11| multiply(X5,sk_c10) != sk_c9| inverse(X5) != sk_c10| inverse(X6) != sk_c11| multiply(X6,sk_c9) != sk_c11| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| inverse(X3) != sk_c11| multiply(X3,sk_c10) != sk_c11| multiply(X7,X8) != sk_c10| inverse(X7) != X8| multiply(X8,sk_c9) != sk_c10 ) ))),
% 0.13/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f59,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.41 fof(f60,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.41 fof(f61,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.41 fof(f62,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.41 fof(f63,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.41 fof(f64,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.41 fof(f65,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.41 fof(f66,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c6)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.41 fof(f67,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c6,sk_c10)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.41 fof(f71,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.41 fof(f72,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.41 fof(f73,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.41 fof(f74,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.41 fof(f75,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.41 fof(f76,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.41 fof(f80,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.41 fof(f81,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.41 fof(f82,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.41 fof(f83,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.41 fof(f84,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c6)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.41 fof(f85,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c6,sk_c10)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.41 fof(f89,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c10|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.41 fof(f90,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.41 fof(f91,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c10|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.41 fof(f92,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.41 fof(f93,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.41 fof(f94,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c10|multiply(sk_c6,sk_c10)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.41 fof(f98,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.41 fof(f99,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c11|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.41 fof(f100,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.41 fof(f101,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c11|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.41 fof(f102,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c11|inverse(sk_c6)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/0.41 fof(f103,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.41 fof(f107,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f49])).
% 0.13/0.41 fof(f108,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c11|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.41 fof(f109,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.41 fof(f110,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c11|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f52])).
% 0.13/0.41 fof(f111,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c11|inverse(sk_c6)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f53])).
% 0.13/0.41 fof(f112,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f54])).
% 0.13/0.41 fof(f116,plain,(
% 0.13/0.41 ![X8]: ((![X7]: (((![X3]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c11)=sk_c10|~inverse(X4)=sk_c11))|~multiply(X5,sk_c10)=sk_c9)|~inverse(X5)=sk_c10))|~inverse(X6)=sk_c11)|~multiply(X6,sk_c9)=sk_c11))|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~inverse(X3)=sk_c11)|~multiply(X3,sk_c10)=sk_c11))|~multiply(X7,X8)=sk_c10)|~inverse(X7)=X8))|~multiply(X8,sk_c9)=sk_c10)),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f58])).
% 0.13/0.41 fof(f117,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10|~inverse(X2)=sk_c11|~multiply(X2,sk_c9)=sk_c11|~multiply(X3,sk_c11)=sk_c10|~inverse(X3)=sk_c11|~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10|~inverse(X5)=sk_c11|~multiply(X5,sk_c10)=sk_c11|~multiply(X6,X7)=sk_c10|~inverse(X6)=X7|~multiply(X7,sk_c9)=sk_c10)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.41 fof(f118,definition,(
% 0.13/0.41 sQ0_spl <=> (multiply(sk_c1,sk_c11)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f119,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c11)=sk_c10|~sQ0_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.13/0.41 fof(f121,definition,(
% 0.13/0.41 sQ1_spl <=> (multiply(sk_c4,sk_c11)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f122,plain,(
% 0.13/0.41 multiply(sk_c4,sk_c11)=sk_c10|~sQ1_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.41 fof(f124,plain,(
% 0.13/0.41 sQ0_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f62,f118,f121])).
% 0.13/0.41 fof(f125,definition,(
% 0.13/0.41 sQ2_spl <=> (inverse(sk_c4)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f126,plain,(
% 0.13/0.41 inverse(sk_c4)=sk_c11|~sQ2_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.41 fof(f128,plain,(
% 0.13/0.41 sQ0_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f63,f118,f125])).
% 0.13/0.41 fof(f129,definition,(
% 0.13/0.41 sQ3_spl <=> (multiply(sk_c5,sk_c10)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f130,plain,(
% 0.13/0.41 multiply(sk_c5,sk_c10)=sk_c9|~sQ3_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f129])).
% 0.13/0.41 fof(f132,plain,(
% 0.13/0.41 sQ0_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f64,f118,f129])).
% 0.13/0.41 fof(f133,definition,(
% 0.13/0.41 sQ4_spl <=> (inverse(sk_c5)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f134,plain,(
% 0.13/0.41 inverse(sk_c5)=sk_c10|~sQ4_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.41 fof(f136,plain,(
% 0.13/0.41 sQ0_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f65,f118,f133])).
% 0.13/0.41 fof(f137,definition,(
% 0.13/0.41 sQ5_spl <=> (inverse(sk_c6)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f140,plain,(
% 0.13/0.41 sQ0_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f66,f118,f137])).
% 0.13/0.41 fof(f141,definition,(
% 0.13/0.41 sQ6_spl <=> (multiply(sk_c6,sk_c10)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f142,plain,(
% 0.13/0.41 multiply(sk_c6,sk_c10)=sk_c11|~sQ6_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f141])).
% 0.13/0.41 fof(f144,plain,(
% 0.13/0.41 sQ0_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f67,f118,f141])).
% 0.13/0.41 fof(f157,definition,(
% 0.13/0.41 sQ10_spl <=> (inverse(sk_c1)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f158,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|~sQ10_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f157])).
% 0.13/0.41 fof(f160,plain,(
% 0.13/0.41 sQ10_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f71,f157,f121])).
% 0.13/0.41 fof(f161,plain,(
% 0.13/0.41 sQ10_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f72,f157,f125])).
% 0.13/0.41 fof(f162,plain,(
% 0.13/0.41 sQ10_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f73,f157,f129])).
% 0.13/0.41 fof(f163,plain,(
% 0.13/0.41 sQ10_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f74,f157,f133])).
% 0.13/0.41 fof(f164,plain,(
% 0.13/0.41 sQ10_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f75,f157,f137])).
% 0.13/0.41 fof(f165,plain,(
% 0.13/0.41 sQ10_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f76,f157,f141])).
% 0.13/0.41 fof(f169,definition,(
% 0.13/0.41 sQ11_spl <=> (multiply(sk_c2,sk_c10)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f170,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c10)=sk_c9|~sQ11_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f169])).
% 0.13/0.41 fof(f172,plain,(
% 0.13/0.41 sQ11_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f80,f169,f121])).
% 0.13/0.41 fof(f173,plain,(
% 0.13/0.41 sQ11_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f81,f169,f125])).
% 0.13/0.41 fof(f174,plain,(
% 0.13/0.41 sQ11_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f82,f169,f129])).
% 0.13/0.41 fof(f175,plain,(
% 0.13/0.41 sQ11_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f83,f169,f133])).
% 0.13/0.41 fof(f176,plain,(
% 0.13/0.41 sQ11_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f84,f169,f137])).
% 0.13/0.41 fof(f177,plain,(
% 0.13/0.41 sQ11_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f85,f169,f141])).
% 0.13/0.41 fof(f181,definition,(
% 0.13/0.41 sQ12_spl <=> (inverse(sk_c2)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f182,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c10|~sQ12_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f181])).
% 0.13/0.41 fof(f184,plain,(
% 0.13/0.41 sQ12_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f89,f181,f121])).
% 0.13/0.41 fof(f185,plain,(
% 0.13/0.41 sQ12_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f90,f181,f125])).
% 0.13/0.41 fof(f186,plain,(
% 0.13/0.41 sQ12_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f91,f181,f129])).
% 0.13/0.41 fof(f187,plain,(
% 0.13/0.41 sQ12_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f92,f181,f133])).
% 0.13/0.41 fof(f188,plain,(
% 0.13/0.41 sQ12_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f93,f181,f137])).
% 0.13/0.41 fof(f189,plain,(
% 0.13/0.41 sQ12_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f94,f181,f141])).
% 0.13/0.41 fof(f193,definition,(
% 0.13/0.41 sQ13_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f194,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c11|~sQ13_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f193])).
% 0.13/0.41 fof(f196,plain,(
% 0.13/0.41 sQ13_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f98,f193,f121])).
% 0.13/0.41 fof(f197,plain,(
% 0.13/0.41 sQ13_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f99,f193,f125])).
% 0.13/0.41 fof(f198,plain,(
% 0.13/0.41 sQ13_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f100,f193,f129])).
% 0.13/0.41 fof(f199,plain,(
% 0.13/0.41 sQ13_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f101,f193,f133])).
% 0.13/0.41 fof(f200,plain,(
% 0.13/0.41 sQ13_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f102,f193,f137])).
% 0.13/0.41 fof(f201,plain,(
% 0.13/0.41 sQ13_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f103,f193,f141])).
% 0.13/0.41 fof(f205,definition,(
% 0.13/0.41 sQ14_spl <=> (multiply(sk_c3,sk_c9)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f206,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c11|~sQ14_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f205])).
% 0.13/0.41 fof(f208,plain,(
% 0.13/0.41 sQ14_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f107,f205,f121])).
% 0.13/0.41 fof(f209,plain,(
% 0.13/0.41 sQ14_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f108,f205,f125])).
% 0.13/0.41 fof(f210,plain,(
% 0.13/0.41 sQ14_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f109,f205,f129])).
% 0.13/0.41 fof(f211,plain,(
% 0.13/0.41 sQ14_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f110,f205,f133])).
% 0.13/0.41 fof(f212,plain,(
% 0.13/0.41 sQ14_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f111,f205,f137])).
% 0.13/0.41 fof(f213,plain,(
% 0.13/0.41 sQ14_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f112,f205,f141])).
% 0.13/0.41 fof(f217,definition,(
% 0.13/0.41 ![X0]: (sQ15_spl <=> (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f218,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ15_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f217])).
% 0.13/0.41 fof(f220,definition,(
% 0.13/0.41 ![X1]: (sQ16_spl <=> (~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f221,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ16_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f220])).
% 0.13/0.41 fof(f223,definition,(
% 0.13/0.41 ![X2]: (sQ17_spl <=> (~inverse(X2)=sk_c11|~multiply(X2,sk_c9)=sk_c11))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f224,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c11|~multiply(X0,sk_c9)=sk_c11|~sQ17_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f223])).
% 0.13/0.41 fof(f226,definition,(
% 0.13/0.41 ![X5]: (sQ18_spl <=> (~inverse(X5)=sk_c11|~multiply(X5,sk_c10)=sk_c11))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f227,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c11|~multiply(X0,sk_c10)=sk_c11|~sQ18_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f226])).
% 0.13/0.41 fof(f229,definition,(
% 0.13/0.41 ![X6,X7]: (sQ19_spl <=> (~multiply(X6,X7)=sk_c10|~inverse(X6)=X7|~multiply(X7,sk_c9)=sk_c10))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f230,plain,(
% 0.13/0.41 ![X0,X1]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~sQ19_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f229])).
% 0.13/0.41 fof(f232,plain,(
% 0.13/0.41 sQ15_spl|sQ16_spl|sQ17_spl|sQ18_spl|sQ19_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f117,f217,f220,f223,f226,f229])).
% 0.13/0.41 fof(f233,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~sQ19_spl)),
% 0.13/0.41 inference(destructive_equality_resolution,[status(thm)],[f230])).
% 0.13/0.41 fof(f242,plain,(
% 0.13/0.41 multiply(sk_c10,sk_c5)=identity|~sQ4_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f134,f60])).
% 0.13/0.41 fof(f246,plain,(
% 0.13/0.41 multiply(sk_c10,sk_c2)=identity|~sQ12_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f182,f60])).
% 0.13/0.41 fof(f248,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f60,f61])).
% 0.13/0.41 fof(f249,plain,(
% 0.13/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f59,f248])).
% 0.13/0.41 fof(f251,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c6,multiply(sk_c10,X0))|~sQ6_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f142,f61])).
% 0.13/0.41 fof(f254,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c4,multiply(sk_c11,X0))|~sQ1_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f122,f61])).
% 0.13/0.41 fof(f255,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c10,multiply(sk_c5,X0))|~sQ4_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f242,f61])).
% 0.13/0.41 fof(f256,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c10,multiply(sk_c5,X0))|~sQ4_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f59,f255])).
% 0.13/0.41 fof(f263,plain,(
% 0.13/0.41 ~inverse(identity)=sk_c10|~multiply(inverse(identity),sk_c9)=sk_c10|~sQ19_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f59,f233])).
% 0.13/0.41 fof(f265,plain,(
% 0.13/0.41 ~multiply(sk_c4,sk_c11)=sk_c10|~multiply(inverse(sk_c4),sk_c9)=sk_c10|~sQ19_spl|~sQ2_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f126,f233])).
% 0.13/0.41 fof(f266,plain,(
% 0.13/0.41 ~multiply(sk_c5,sk_c10)=sk_c10|~multiply(inverse(sk_c5),sk_c9)=sk_c10|~sQ19_spl|~sQ4_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f134,f233])).
% 0.13/0.41 fof(f269,plain,(
% 0.13/0.41 ~multiply(sk_c1,sk_c11)=sk_c10|~multiply(inverse(sk_c1),sk_c9)=sk_c10|~sQ19_spl|~sQ10_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f158,f233])).
% 0.13/0.41 fof(f270,plain,(
% 0.13/0.41 ~multiply(sk_c2,sk_c10)=sk_c10|~multiply(inverse(sk_c2),sk_c9)=sk_c10|~sQ19_spl|~sQ12_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f182,f233])).
% 0.13/0.41 fof(f271,plain,(
% 0.13/0.41 ~multiply(sk_c3,sk_c11)=sk_c10|~multiply(inverse(sk_c3),sk_c9)=sk_c10|~sQ19_spl|~sQ13_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f194,f233])).
% 0.13/0.41 fof(f272,definition,(
% 0.13/0.41 sQ20_spl <=> (inverse(identity)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f275,definition,(
% 0.13/0.41 sQ21_spl <=> (multiply(inverse(identity),sk_c9)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f278,plain,(
% 0.13/0.41 ~sQ20_spl|~sQ21_spl|~sQ19_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f263,f272,f275,f229])).
% 0.13/0.41 fof(f279,definition,(
% 0.13/0.41 sQ22_spl <=> (multiply(inverse(sk_c4),sk_c9)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f282,plain,(
% 0.13/0.41 ~sQ1_spl|~sQ22_spl|~sQ19_spl|~sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f265,f121,f279,f229,f125])).
% 0.13/0.41 fof(f283,definition,(
% 0.13/0.41 sQ23_spl <=> (multiply(sk_c5,sk_c10)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f285,plain,(
% 0.13/0.41 ~multiply(sk_c5,sk_c10)=sk_c10|sQ23_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f283])).
% 0.13/0.41 fof(f286,definition,(
% 0.13/0.41 sQ24_spl <=> (multiply(inverse(sk_c5),sk_c9)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f288,plain,(
% 0.13/0.41 ~multiply(inverse(sk_c5),sk_c9)=sk_c10|sQ24_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f286])).
% 0.13/0.41 fof(f289,plain,(
% 0.13/0.41 ~sQ23_spl|~sQ24_spl|~sQ19_spl|~sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f266,f283,f286,f229,f133])).
% 0.13/0.41 fof(f301,definition,(
% 0.13/0.41 sQ28_spl <=> (multiply(inverse(sk_c1),sk_c9)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f304,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ28_spl|~sQ19_spl|~sQ10_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f269,f118,f301,f229,f157])).
% 0.13/0.41 fof(f305,definition,(
% 0.13/0.41 sQ29_spl <=> (multiply(sk_c2,sk_c10)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f307,plain,(
% 0.13/0.41 ~multiply(sk_c2,sk_c10)=sk_c10|sQ29_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f305])).
% 0.13/0.41 fof(f308,definition,(
% 0.13/0.41 sQ30_spl <=> (multiply(inverse(sk_c2),sk_c9)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f310,plain,(
% 0.13/0.41 ~multiply(inverse(sk_c2),sk_c9)=sk_c10|sQ30_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f308])).
% 0.13/0.41 fof(f311,plain,(
% 0.13/0.41 ~sQ29_spl|~sQ30_spl|~sQ19_spl|~sQ12_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f270,f305,f308,f229,f181])).
% 0.13/0.41 fof(f312,definition,(
% 0.13/0.41 sQ31_spl <=> (multiply(sk_c3,sk_c11)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f315,definition,(
% 0.13/0.41 sQ32_spl <=> (multiply(inverse(sk_c3),sk_c9)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f318,plain,(
% 0.13/0.41 ~sQ31_spl|~sQ32_spl|~sQ19_spl|~sQ13_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f271,f312,f315,f229,f193])).
% 0.13/0.41 fof(f323,plain,(
% 0.13/0.41 ~sk_c9=sk_c10|~sQ3_spl|sQ23_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f130,f285])).
% 0.13/0.41 fof(f326,plain,(
% 0.13/0.41 ~inverse(sk_c6)=sk_c11|~sk_c11=sk_c11|~sQ18_spl|~sQ6_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f142,f227])).
% 0.13/0.41 fof(f338,definition,(
% 0.13/0.41 sQ35_spl <=> (sk_c11=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f340,plain,(
% 0.13/0.41 ~sk_c11=sk_c11|sQ35_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f338])).
% 0.13/0.41 fof(f341,plain,(
% 0.13/0.41 ~sQ5_spl|~sQ35_spl|~sQ18_spl|~sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f326,f137,f338,f226,f141])).
% 0.13/0.41 fof(f361,plain,(
% 0.13/0.41 $false|sQ35_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f340])).
% 0.13/0.41 fof(f362,plain,(
% 0.13/0.41 sQ35_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f361])).
% 0.13/0.41 fof(f363,plain,(
% 0.13/0.41 ~inverse(sk_c3)=sk_c11|~sQ17_spl|~sQ14_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f224,f206])).
% 0.13/0.41 fof(f369,plain,(
% 0.13/0.41 ~sk_c11=sk_c11|~sQ13_spl|~sQ17_spl|~sQ14_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f194,f363])).
% 0.13/0.41 fof(f370,plain,(
% 0.13/0.41 $false|~sQ13_spl|~sQ17_spl|~sQ14_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f369])).
% 0.13/0.41 fof(f371,plain,(
% 0.13/0.41 ~sQ13_spl|~sQ17_spl|~sQ14_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f370])).
% 0.13/0.41 fof(f372,plain,(
% 0.13/0.41 ~identity=sk_c9|~inverse(inverse(sk_c10))=sk_c10|~sQ16_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f60,f221])).
% 0.13/0.41 fof(f373,plain,(
% 0.13/0.41 ~sk_c10=sk_c9|~inverse(identity)=sk_c10|~sQ16_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f59,f221])).
% 0.13/0.41 fof(f375,definition,(
% 0.13/0.41 sQ41_spl <=> (identity=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f377,plain,(
% 0.13/0.41 ~identity=sk_c9|sQ41_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f375])).
% 0.13/0.41 fof(f378,definition,(
% 0.13/0.41 sQ42_spl <=> (inverse(inverse(sk_c10))=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f381,plain,(
% 0.13/0.41 ~sQ41_spl|~sQ42_spl|~sQ16_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f372,f375,f378,f220])).
% 0.13/0.41 fof(f382,definition,(
% 0.13/0.41 sQ43_spl <=> (sk_c10=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f384,plain,(
% 0.13/0.41 ~sk_c10=sk_c9|sQ43_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f382])).
% 0.13/0.41 fof(f385,plain,(
% 0.13/0.41 ~sQ43_spl|~sQ20_spl|~sQ16_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f373,f382,f272,f220])).
% 0.13/0.41 fof(f394,plain,(
% 0.13/0.41 ~inverse(sk_c4)=sk_c11|~sQ15_spl|~sQ1_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f218,f122])).
% 0.13/0.41 fof(f399,plain,(
% 0.13/0.41 ~sk_c11=sk_c11|~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f126,f394])).
% 0.13/0.41 fof(f400,plain,(
% 0.13/0.41 $false|~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f399])).
% 0.13/0.41 fof(f401,plain,(
% 0.13/0.41 ~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f400])).
% 0.13/0.41 fof(f402,plain,(
% 0.13/0.41 ~inverse(sk_c5)=sk_c10|~sQ16_spl|~sQ3_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f221,f130])).
% 0.13/0.41 fof(f408,plain,(
% 0.13/0.41 ~sk_c10=sk_c10|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f134,f402])).
% 0.13/0.41 fof(f409,plain,(
% 0.13/0.41 $false|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f408])).
% 0.13/0.41 fof(f410,plain,(
% 0.13/0.41 ~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f409])).
% 0.13/0.41 fof(f465,plain,(
% 0.13/0.41 sk_c10=multiply(sk_c10,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f130,f256])).
% 0.13/0.41 fof(f471,plain,(
% 0.13/0.41 multiply(sk_c11,sk_c9)=multiply(sk_c6,sk_c10)|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f465,f251])).
% 0.13/0.41 fof(f475,plain,(
% 0.13/0.41 multiply(sk_c11,sk_c9)=sk_c11|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f142,f471])).
% 0.13/0.41 fof(f570,plain,(
% 0.13/0.41 ~inverse(sk_c2)=sk_c10|~sQ16_spl|~sQ11_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f221,f170])).
% 0.13/0.41 fof(f575,plain,(
% 0.13/0.41 ~sk_c10=sk_c10|~sQ12_spl|~sQ16_spl|~sQ11_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f182,f570])).
% 0.13/0.41 fof(f576,plain,(
% 0.13/0.41 $false|~sQ12_spl|~sQ16_spl|~sQ11_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f575])).
% 0.13/0.41 fof(f577,plain,(
% 0.13/0.41 ~sQ12_spl|~sQ16_spl|~sQ11_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f576])).
% 0.13/0.41 fof(f592,plain,(
% 0.13/0.41 sk_c10=multiply(inverse(sk_c2),sk_c9)|~sQ11_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f170,f249])).
% 0.13/0.41 fof(f593,plain,(
% 0.13/0.41 sk_c11=multiply(inverse(sk_c1),sk_c10)|~sQ0_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f119,f249])).
% 0.13/0.41 fof(f603,plain,(
% 0.13/0.41 sk_c10=multiply(sk_c10,sk_c9)|~sQ12_spl|~sQ11_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f182,f592])).
% 0.13/0.41 fof(f604,plain,(
% 0.13/0.41 sk_c11=multiply(sk_c11,sk_c10)|~sQ10_spl|~sQ0_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f158,f593])).
% 0.13/0.41 fof(f608,plain,(
% 0.13/0.41 ~multiply(sk_c10,sk_c9)=sk_c10|~sQ12_spl|sQ30_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f182,f310])).
% 0.13/0.41 fof(f609,plain,(
% 0.13/0.41 ~sk_c9=sk_c10|~sQ11_spl|sQ29_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f170,f307])).
% 0.13/0.41 fof(f634,plain,(
% 0.13/0.41 $false|sQ30_spl|~sQ12_spl|~sQ11_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f603,f608])).
% 0.13/0.41 fof(f635,plain,(
% 0.13/0.41 sQ30_spl|~sQ12_spl|~sQ11_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f634])).
% 0.13/0.41 fof(f639,plain,(
% 0.13/0.41 ~inverse(sk_c11)=sk_c11|~sk_c11=sk_c11|~sQ18_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f604,f227])).
% 0.13/0.41 fof(f640,plain,(
% 0.13/0.41 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ10_spl|~sQ0_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f604,f249])).
% 0.13/0.41 fof(f643,definition,(
% 0.13/0.41 sQ60_spl <=> (inverse(sk_c11)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f646,plain,(
% 0.13/0.41 ~sQ60_spl|~sQ35_spl|~sQ18_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f639,f643,f338,f226,f157,f118])).
% 0.13/0.41 fof(f647,plain,(
% 0.13/0.41 sk_c10=identity|~sQ10_spl|~sQ0_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f60,f640])).
% 0.13/0.41 fof(f648,definition,(
% 0.13/0.41 sQ61_spl <=> (identity=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f650,plain,(
% 0.13/0.41 ~identity=sk_c10|sQ61_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f648])).
% 0.13/0.41 fof(f657,plain,(
% 0.13/0.41 multiply(identity,sk_c2)=identity|~sQ10_spl|~sQ0_spl|~sQ12_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f647,f246])).
% 0.13/0.41 fof(f672,plain,(
% 0.13/0.41 ~identity=sk_c9|~sQ10_spl|~sQ0_spl|sQ43_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f647,f384])).
% 0.13/0.41 fof(f676,plain,(
% 0.13/0.41 multiply(sk_c2,identity)=sk_c9|~sQ10_spl|~sQ0_spl|~sQ11_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f647,f170])).
% 0.13/0.41 fof(f677,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c11)=identity|~sQ10_spl|~sQ0_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f647,f119])).
% 0.13/0.42 fof(f679,plain,(
% 0.13/0.42 sk_c2=identity|~sQ10_spl|~sQ0_spl|~sQ12_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f59,f657])).
% 0.13/0.42 fof(f685,plain,(
% 0.13/0.42 ~identity=identity|~sQ10_spl|~sQ0_spl|sQ61_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f647,f650])).
% 0.13/0.42 fof(f686,plain,(
% 0.13/0.42 $false|~sQ10_spl|~sQ0_spl|sQ61_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f685])).
% 0.13/0.42 fof(f687,plain,(
% 0.13/0.42 ~sQ10_spl|~sQ0_spl|sQ61_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f686])).
% 0.13/0.42 fof(f689,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=sk_c11|~multiply(X0,identity)=sk_c11|~sQ10_spl|~sQ0_spl|~sQ18_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f647,f227])).
% 0.13/0.42 fof(f704,plain,(
% 0.13/0.42 multiply(identity,identity)=sk_c9|~sQ12_spl|~sQ10_spl|~sQ0_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f679,f676])).
% 0.13/0.42 fof(f705,plain,(
% 0.13/0.42 identity=sk_c9|~sQ12_spl|~sQ10_spl|~sQ0_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f59,f704])).
% 0.13/0.42 fof(f706,plain,(
% 0.13/0.42 $false|sQ41_spl|~sQ12_spl|~sQ10_spl|~sQ0_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f705,f377])).
% 0.13/0.42 fof(f707,plain,(
% 0.13/0.42 sQ41_spl|~sQ12_spl|~sQ10_spl|~sQ0_spl|~sQ11_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f706])).
% 0.13/0.42 fof(f708,plain,(
% 0.13/0.42 ~sQ41_spl|~sQ10_spl|~sQ0_spl|sQ43_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f672,f375,f157,f118,f382])).
% 0.13/0.42 fof(f709,plain,(
% 0.13/0.42 ~sQ43_spl|~sQ11_spl|sQ29_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f609,f382,f169,f305])).
% 0.13/0.42 fof(f741,plain,(
% 0.13/0.42 multiply(sk_c3,identity)=sk_c11|~sQ12_spl|~sQ10_spl|~sQ0_spl|~sQ11_spl|~sQ14_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f705,f206])).
% 0.13/0.42 fof(f751,plain,(
% 0.13/0.42 ~inverse(sk_c3)=sk_c11|~sQ12_spl|~sQ11_spl|~sQ14_spl|~sQ10_spl|~sQ0_spl|~sQ18_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f741,f689])).
% 0.13/0.42 fof(f755,plain,(
% 0.13/0.42 ~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl|~sQ10_spl|~sQ0_spl|~sQ18_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f751,f193,f181,f169,f205,f157,f118,f226])).
% 0.13/0.42 fof(f761,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c11)=identity|~inverse(X0)=sk_c11|~sQ10_spl|~sQ0_spl|~sQ15_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f647,f218])).
% 0.13/0.42 fof(f763,definition,(
% 0.13/0.42 sQ64_spl <=> (sk_c10=sk_c10)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f765,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|sQ64_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f763])).
% 0.13/0.42 fof(f767,plain,(
% 0.13/0.42 ~identity=sk_c10|~sQ10_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f647,f765])).
% 0.13/0.42 fof(f768,plain,(
% 0.13/0.42 ~identity=identity|~sQ10_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f647,f767])).
% 0.13/0.42 fof(f769,plain,(
% 0.13/0.42 $false|~sQ10_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f768])).
% 0.13/0.42 fof(f770,plain,(
% 0.13/0.42 ~sQ10_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f769])).
% 0.13/0.42 fof(f774,plain,(
% 0.13/0.42 ~inverse(sk_c1)=sk_c11|~sQ15_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f761,f677])).
% 0.13/0.42 fof(f781,plain,(
% 0.13/0.42 ~sk_c11=sk_c11|~sQ15_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f158,f774])).
% 0.13/0.42 fof(f782,plain,(
% 0.13/0.42 $false|~sQ15_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f781])).
% 0.13/0.42 fof(f783,plain,(
% 0.13/0.42 ~sQ15_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f782])).
% 0.13/0.42 fof(f812,plain,(
% 0.13/0.42 sk_c11=multiply(inverse(sk_c4),sk_c10)|~sQ1_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f122,f249])).
% 0.13/0.42 fof(f814,plain,(
% 0.13/0.42 sk_c11=multiply(sk_c11,sk_c10)|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f126,f812])).
% 0.13/0.42 fof(f911,plain,(
% 0.13/0.42 ~multiply(sk_c10,sk_c9)=sk_c10|~sQ4_spl|sQ24_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f134,f288])).
% 0.13/0.42 fof(f914,plain,(
% 0.13/0.42 multiply(sk_c10,sk_c9)=multiply(sk_c4,sk_c11)|~sQ1_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f475,f254])).
% 0.13/0.42 fof(f917,plain,(
% 0.13/0.42 sk_c9=multiply(inverse(sk_c11),sk_c11)|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f475,f249])).
% 0.13/0.42 fof(f919,plain,(
% 0.13/0.42 multiply(sk_c10,sk_c9)=sk_c10|~sQ1_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f122,f914])).
% 0.13/0.42 fof(f920,plain,(
% 0.13/0.42 $false|sQ24_spl|~sQ1_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f919,f911])).
% 0.13/0.42 fof(f921,plain,(
% 0.13/0.42 sQ24_spl|~sQ1_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f920])).
% 0.13/0.42 fof(f923,plain,(
% 0.13/0.42 sk_c9=identity|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f60,f917])).
% 0.13/0.42 fof(f937,plain,(
% 0.13/0.42 ~identity=sk_c10|~sQ6_spl|~sQ4_spl|~sQ3_spl|sQ23_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f923,f323])).
% 0.13/0.42 fof(f939,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=sk_c11|~multiply(X0,identity)=sk_c11|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ17_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f923,f224])).
% 0.13/0.42 fof(f1036,plain,(
% 0.13/0.42 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f814,f249])).
% 0.13/0.42 fof(f1039,plain,(
% 0.13/0.42 sk_c10=identity|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f60,f1036])).
% 0.13/0.42 fof(f1040,plain,(
% 0.13/0.42 $false|~sQ6_spl|~sQ4_spl|~sQ3_spl|sQ23_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1039,f937])).
% 0.13/0.42 fof(f1041,plain,(
% 0.13/0.42 ~sQ6_spl|~sQ4_spl|~sQ3_spl|sQ23_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1040])).
% 0.13/0.42 fof(f1065,plain,(
% 0.13/0.42 multiply(sk_c6,identity)=sk_c11|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1039,f142])).
% 0.13/0.42 fof(f1103,plain,(
% 0.13/0.42 ~inverse(sk_c6)=sk_c11|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ17_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f1065,f939])).
% 0.13/0.42 fof(f1108,plain,(
% 0.13/0.42 ~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl|~sQ17_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f1103,f137,f125,f121,f141,f133,f129,f223])).
% 0.13/0.42 fof(f1112,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f124,f128,f132,f136,f140,f144,f160,f161,f162,f163,f164,f165,f172,f173,f174,f175,f176,f177,f184,f185,f186,f187,f188,f189,f196,f197,f198,f199,f200,f201,f208,f209,f210,f211,f212,f213,f232,f278,f282,f289,f304,f311,f318,f341,f362,f371,f381,f385,f401,f410,f577,f635,f646,f687,f707,f708,f709,f755,f770,f783,f921,f1041,f1108])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.074493 seconds
% 0.13/0.44 % CPU time: 0.282903 seconds
% 0.13/0.44 % Total memory used: 107.424 MB
% 0.13/0.44 % Net memory used: 107.258 MB
%------------------------------------------------------------------------------