%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP239-1 : 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 : n026.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 12:36:18 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP239-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n026.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 20 20:09:52 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.47 % Refutation found
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.47 fof(f1,axiom,(
% 0.15/0.47 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f2,axiom,(
% 0.15/0.47 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f3,axiom,(
% 0.15/0.47 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f4,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c9) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f5,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c9) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f6,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f7,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f11,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f12,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f13,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f14,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f15,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f16,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f17,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c1) = sk_c9| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f18,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f19,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f20,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f21,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f22,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f23,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f24,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f25,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f26,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f27,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f28,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f29,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f30,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f31,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f32,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c4) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f33,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f34,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f35,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f36,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f37,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c6) = sk_c7 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f38,negated_conjecture,(
% 0.15/0.47 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f39,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f40,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f41,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f42,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f43,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f44,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f45,negated_conjecture,(
% 0.15/0.47 ( inverse(sk_c2) = sk_c9| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f46,negated_conjecture,(
% 0.15/0.47 (![X4,X5,X6,X1,X2,X7,X3]: (( inverse(sk_c9) != sk_c8| inverse(X4) != sk_c9| multiply(X4,sk_c8) != sk_c9| multiply(sk_c9,X5) != sk_c8| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9| inverse(X1) != sk_c9| multiply(X1,sk_c8) != sk_c9| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8| multiply(X7,X3) != sk_c8| inverse(X7) != X3| multiply(X3,sk_c9) != sk_c8 ) ))),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f47,plain,(
% 0.15/0.47 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.47 fof(f48,plain,(
% 0.15/0.47 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.47 fof(f49,plain,(
% 0.15/0.47 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.47 fof(f50,plain,(
% 0.15/0.47 inverse(sk_c9)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.47 fof(f51,plain,(
% 0.15/0.47 inverse(sk_c9)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.47 fof(f52,plain,(
% 0.15/0.47 inverse(sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.47 fof(f53,plain,(
% 0.15/0.47 inverse(sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.47 fof(f57,plain,(
% 0.15/0.47 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.47 fof(f58,plain,(
% 0.15/0.47 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.47 fof(f59,plain,(
% 0.15/0.47 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.47 fof(f60,plain,(
% 0.15/0.47 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.47 fof(f61,plain,(
% 0.15/0.47 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.47 fof(f62,plain,(
% 0.15/0.47 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.47 fof(f63,plain,(
% 0.15/0.47 inverse(sk_c1)=sk_c9|multiply(sk_c7,sk_c9)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.47 fof(f64,plain,(
% 0.15/0.47 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.47 fof(f65,plain,(
% 0.15/0.47 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/0.47 fof(f66,plain,(
% 0.15/0.47 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f20])).
% 0.15/0.47 fof(f67,plain,(
% 0.15/0.47 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/0.47 fof(f68,plain,(
% 0.15/0.47 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.47 fof(f69,plain,(
% 0.15/0.47 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/0.47 fof(f70,plain,(
% 0.15/0.47 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c7,sk_c9)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/0.47 fof(f71,plain,(
% 0.15/0.47 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.47 fof(f72,plain,(
% 0.15/0.47 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f26])).
% 0.15/0.47 fof(f73,plain,(
% 0.15/0.47 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.47 fof(f74,plain,(
% 0.15/0.47 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/0.47 fof(f75,plain,(
% 0.15/0.47 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c6,sk_c7)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/0.47 fof(f76,plain,(
% 0.15/0.47 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.47 fof(f77,plain,(
% 0.15/0.47 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c7,sk_c9)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.47 fof(f78,plain,(
% 0.15/0.47 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c4)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/0.47 fof(f79,plain,(
% 0.15/0.47 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c4,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f33])).
% 0.15/0.47 fof(f80,plain,(
% 0.15/0.47 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f34])).
% 0.15/0.47 fof(f81,plain,(
% 0.15/0.47 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f35])).
% 0.15/0.47 fof(f82,plain,(
% 0.15/0.47 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c6,sk_c7)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f36])).
% 0.15/0.47 fof(f83,plain,(
% 0.15/0.47 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c6)=sk_c7),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f37])).
% 0.15/0.47 fof(f84,plain,(
% 0.15/0.47 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c7,sk_c9)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f38])).
% 0.15/0.47 fof(f85,plain,(
% 0.15/0.47 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f39])).
% 0.15/0.47 fof(f86,plain,(
% 0.15/0.47 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f40])).
% 0.15/0.47 fof(f87,plain,(
% 0.15/0.47 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f41])).
% 0.15/0.47 fof(f88,plain,(
% 0.15/0.47 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f42])).
% 0.15/0.47 fof(f89,plain,(
% 0.15/0.47 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f43])).
% 0.15/0.47 fof(f90,plain,(
% 0.15/0.47 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f44])).
% 0.15/0.47 fof(f91,plain,(
% 0.15/0.47 inverse(sk_c2)=sk_c9|multiply(sk_c7,sk_c9)=sk_c8),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f45])).
% 0.15/0.47 fof(f92,plain,(
% 0.15/0.47 ![X3]: ((![X7]: (((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c9)=sk_c8|~inverse(X4)=sk_c9)|~multiply(X4,sk_c8)=sk_c9))|~multiply(sk_c9,X5)=sk_c8)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9))|~inverse(X1)=sk_c9)|~multiply(X1,sk_c8)=sk_c9))|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8))|~multiply(X7,X3)=sk_c8)|~inverse(X7)=X3))|~multiply(X3,sk_c9)=sk_c8)),
% 0.15/0.47 inference(miniscoping,[status(thm)],[f46])).
% 0.15/0.47 fof(f93,plain,(
% 0.15/0.47 ![X0,X1,X2,X3,X4,X5,X6]: (~inverse(sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9|~inverse(X3)=sk_c9|~multiply(X3,sk_c8)=sk_c9|~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8|~multiply(X5,X6)=sk_c8|~inverse(X5)=X6|~multiply(X6,sk_c9)=sk_c8)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f92])).
% 0.15/0.47 fof(f94,definition,(
% 0.15/0.47 sQ0_spl <=> (inverse(sk_c9)=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f96,plain,(
% 0.15/0.47 ~inverse(sk_c9)=sk_c8|sQ0_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f94])).
% 0.15/0.47 fof(f97,definition,(
% 0.15/0.47 sQ1_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f98,plain,(
% 0.15/0.47 inverse(sk_c4)=sk_c9|~sQ1_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f97])).
% 0.15/0.47 fof(f100,plain,(
% 0.15/0.47 sQ0_spl|sQ1_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.15/0.47 fof(f101,definition,(
% 0.15/0.47 sQ2_spl <=> (multiply(sk_c4,sk_c8)=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f102,plain,(
% 0.15/0.47 multiply(sk_c4,sk_c8)=sk_c9|~sQ2_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f101])).
% 0.15/0.47 fof(f104,plain,(
% 0.15/0.47 sQ0_spl|sQ2_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.15/0.47 fof(f105,definition,(
% 0.15/0.47 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f106,plain,(
% 0.15/0.47 multiply(sk_c5,sk_c8)=sk_c9|~sQ3_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f105])).
% 0.15/0.47 fof(f108,plain,(
% 0.15/0.47 sQ0_spl|sQ3_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.15/0.47 fof(f109,definition,(
% 0.15/0.47 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f110,plain,(
% 0.15/0.47 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f109])).
% 0.15/0.47 fof(f112,plain,(
% 0.15/0.47 sQ0_spl|sQ4_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.15/0.47 fof(f113,definition,(
% 0.15/0.47 sQ5_spl <=> (multiply(sk_c6,sk_c7)=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f114,plain,(
% 0.15/0.47 multiply(sk_c6,sk_c7)=sk_c8|~sQ5_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f113])).
% 0.15/0.47 fof(f117,definition,(
% 0.15/0.47 sQ6_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f118,plain,(
% 0.15/0.47 inverse(sk_c6)=sk_c7|~sQ6_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f117])).
% 0.15/0.47 fof(f121,definition,(
% 0.15/0.47 sQ7_spl <=> (multiply(sk_c7,sk_c9)=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f125,definition,(
% 0.15/0.47 sQ8_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f126,plain,(
% 0.15/0.47 inverse(sk_c1)=sk_c9|~sQ8_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f125])).
% 0.15/0.47 fof(f128,plain,(
% 0.15/0.47 sQ8_spl|sQ1_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.15/0.47 fof(f129,plain,(
% 0.15/0.47 sQ8_spl|sQ2_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.15/0.47 fof(f130,plain,(
% 0.15/0.47 sQ8_spl|sQ3_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.15/0.47 fof(f131,plain,(
% 0.15/0.47 sQ8_spl|sQ4_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.15/0.47 fof(f132,plain,(
% 0.15/0.47 sQ8_spl|sQ5_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.15/0.47 fof(f133,plain,(
% 0.15/0.47 sQ8_spl|sQ6_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.15/0.47 fof(f134,plain,(
% 0.15/0.47 sQ8_spl|sQ7_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.15/0.47 fof(f135,definition,(
% 0.15/0.47 sQ9_spl <=> (multiply(sk_c1,sk_c8)=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f136,plain,(
% 0.15/0.47 multiply(sk_c1,sk_c8)=sk_c9|~sQ9_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f135])).
% 0.15/0.47 fof(f138,plain,(
% 0.15/0.47 sQ9_spl|sQ1_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f64,f135,f97])).
% 0.15/0.47 fof(f139,plain,(
% 0.15/0.47 sQ9_spl|sQ2_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f65,f135,f101])).
% 0.15/0.47 fof(f140,plain,(
% 0.15/0.47 sQ9_spl|sQ3_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.15/0.47 fof(f141,plain,(
% 0.15/0.47 sQ9_spl|sQ4_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.15/0.47 fof(f142,plain,(
% 0.15/0.47 sQ9_spl|sQ5_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.15/0.47 fof(f143,plain,(
% 0.15/0.47 sQ9_spl|sQ6_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.15/0.47 fof(f144,plain,(
% 0.15/0.47 sQ9_spl|sQ7_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.15/0.47 fof(f145,definition,(
% 0.15/0.47 sQ10_spl <=> (multiply(sk_c9,sk_c3)=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f146,plain,(
% 0.15/0.47 multiply(sk_c9,sk_c3)=sk_c8|~sQ10_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f145])).
% 0.15/0.47 fof(f148,plain,(
% 0.15/0.47 sQ10_spl|sQ1_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f71,f145,f97])).
% 0.15/0.47 fof(f149,plain,(
% 0.15/0.47 sQ10_spl|sQ2_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f72,f145,f101])).
% 0.15/0.47 fof(f150,plain,(
% 0.15/0.47 sQ10_spl|sQ3_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.15/0.47 fof(f151,plain,(
% 0.15/0.47 sQ10_spl|sQ4_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.15/0.47 fof(f152,plain,(
% 0.15/0.47 sQ10_spl|sQ5_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.15/0.47 fof(f153,plain,(
% 0.15/0.47 sQ10_spl|sQ6_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.15/0.47 fof(f154,plain,(
% 0.15/0.47 sQ10_spl|sQ7_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.15/0.47 fof(f155,definition,(
% 0.15/0.47 sQ11_spl <=> (multiply(sk_c2,sk_c9)=sk_c3)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f156,plain,(
% 0.15/0.47 multiply(sk_c2,sk_c9)=sk_c3|~sQ11_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f155])).
% 0.15/0.47 fof(f158,plain,(
% 0.15/0.47 sQ11_spl|sQ1_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f78,f155,f97])).
% 0.15/0.47 fof(f159,plain,(
% 0.15/0.47 sQ11_spl|sQ2_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f79,f155,f101])).
% 0.15/0.47 fof(f160,plain,(
% 0.15/0.47 sQ11_spl|sQ3_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f80,f155,f105])).
% 0.15/0.47 fof(f161,plain,(
% 0.15/0.47 sQ11_spl|sQ4_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f81,f155,f109])).
% 0.15/0.47 fof(f162,plain,(
% 0.15/0.47 sQ11_spl|sQ5_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f82,f155,f113])).
% 0.15/0.47 fof(f163,plain,(
% 0.15/0.47 sQ11_spl|sQ6_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f83,f155,f117])).
% 0.15/0.47 fof(f164,plain,(
% 0.15/0.47 sQ11_spl|sQ7_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f84,f155,f121])).
% 0.15/0.47 fof(f165,definition,(
% 0.15/0.47 sQ12_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f166,plain,(
% 0.15/0.47 inverse(sk_c2)=sk_c9|~sQ12_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f165])).
% 0.15/0.47 fof(f168,plain,(
% 0.15/0.47 sQ12_spl|sQ1_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f85,f165,f97])).
% 0.15/0.47 fof(f169,plain,(
% 0.15/0.47 sQ12_spl|sQ2_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f86,f165,f101])).
% 0.15/0.47 fof(f170,plain,(
% 0.15/0.47 sQ12_spl|sQ3_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f87,f165,f105])).
% 0.15/0.47 fof(f171,plain,(
% 0.15/0.47 sQ12_spl|sQ4_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f88,f165,f109])).
% 0.15/0.47 fof(f172,plain,(
% 0.15/0.47 sQ12_spl|sQ5_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f89,f165,f113])).
% 0.15/0.47 fof(f173,plain,(
% 0.15/0.47 sQ12_spl|sQ6_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f90,f165,f117])).
% 0.15/0.47 fof(f174,plain,(
% 0.15/0.47 sQ12_spl|sQ7_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f91,f165,f121])).
% 0.15/0.47 fof(f175,definition,(
% 0.15/0.47 ![X0]: (sQ13_spl <=> (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9))),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f176,plain,(
% 0.15/0.47 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ13_spl)),
% 0.15/0.47 inference(component_clause,[status(thm)],[f175])).
% 0.15/0.47 fof(f178,definition,(
% 0.15/0.47 ![X1,X2]: (sQ14_spl <=> (~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9))),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f179,plain,(
% 0.15/0.47 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ14_spl)),
% 0.15/0.47 inference(component_clause,[status(thm)],[f178])).
% 0.15/0.47 fof(f181,definition,(
% 0.15/0.47 ![X4]: (sQ15_spl <=> (~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8))),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f182,plain,(
% 0.15/0.47 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ15_spl)),
% 0.15/0.47 inference(component_clause,[status(thm)],[f181])).
% 0.15/0.47 fof(f184,definition,(
% 0.15/0.47 ![X5,X6]: (sQ16_spl <=> (~multiply(X5,X6)=sk_c8|~inverse(X5)=X6|~multiply(X6,sk_c9)=sk_c8))),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f185,plain,(
% 0.15/0.47 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c8|~sQ16_spl)),
% 0.15/0.47 inference(component_clause,[status(thm)],[f184])).
% 0.15/0.47 fof(f187,plain,(
% 0.15/0.47 ~sQ0_spl|sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f93,f94,f175,f178,f181,f184])).
% 0.15/0.47 fof(f188,plain,(
% 0.15/0.47 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c9)=sk_c8|~sQ16_spl)),
% 0.15/0.47 inference(destructive_equality_resolution,[status(thm)],[f185])).
% 0.15/0.47 fof(f206,plain,(
% 0.15/0.47 ~multiply(sk_c4,inverse(sk_c4))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~sQ16_spl|~sQ1_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f98,f188])).
% 0.15/0.47 fof(f208,plain,(
% 0.15/0.47 ~multiply(sk_c6,inverse(sk_c6))=sk_c8|~multiply(sk_c7,sk_c9)=sk_c8|~sQ16_spl|~sQ6_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f118,f188])).
% 0.15/0.47 fof(f209,plain,(
% 0.15/0.47 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~sQ16_spl|~sQ8_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f126,f188])).
% 0.15/0.47 fof(f210,plain,(
% 0.15/0.47 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~sQ16_spl|~sQ12_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f166,f188])).
% 0.15/0.47 fof(f218,definition,(
% 0.15/0.47 sQ19_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f221,definition,(
% 0.15/0.47 sQ20_spl <=> (multiply(sk_c9,sk_c9)=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f223,plain,(
% 0.15/0.47 ~multiply(sk_c9,sk_c9)=sk_c8|sQ20_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f221])).
% 0.15/0.47 fof(f224,plain,(
% 0.15/0.47 ~sQ19_spl|~sQ20_spl|~sQ16_spl|~sQ1_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f206,f218,f221,f184,f97])).
% 0.15/0.47 fof(f229,definition,(
% 0.15/0.47 sQ22_spl <=> (multiply(sk_c6,inverse(sk_c6))=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f231,plain,(
% 0.15/0.47 ~multiply(sk_c6,inverse(sk_c6))=sk_c8|sQ22_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f229])).
% 0.15/0.47 fof(f232,plain,(
% 0.15/0.47 ~sQ22_spl|~sQ7_spl|~sQ16_spl|~sQ6_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f208,f229,f121,f184,f117])).
% 0.15/0.47 fof(f233,definition,(
% 0.15/0.47 sQ23_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f235,plain,(
% 0.15/0.47 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|sQ23_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f233])).
% 0.15/0.47 fof(f236,plain,(
% 0.15/0.47 ~sQ23_spl|~sQ20_spl|~sQ16_spl|~sQ8_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f209,f233,f221,f184,f125])).
% 0.15/0.47 fof(f237,definition,(
% 0.15/0.47 sQ24_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f240,plain,(
% 0.15/0.47 ~sQ24_spl|~sQ20_spl|~sQ16_spl|~sQ12_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f210,f237,f221,f184,f165])).
% 0.15/0.47 fof(f243,plain,(
% 0.15/0.47 ~multiply(sk_c1,sk_c9)=sk_c8|~sQ8_spl|sQ23_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f126,f235])).
% 0.15/0.47 fof(f249,plain,(
% 0.15/0.47 ~sk_c9=sk_c9|~inverse(sk_c4)=sk_c8|~sQ15_spl|~sQ2_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f102,f182])).
% 0.15/0.47 fof(f250,plain,(
% 0.15/0.47 ~sk_c9=sk_c9|~inverse(sk_c5)=sk_c8|~sQ15_spl|~sQ3_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f106,f182])).
% 0.15/0.47 fof(f251,plain,(
% 0.15/0.47 ~sk_c9=sk_c9|~inverse(sk_c1)=sk_c8|~sQ15_spl|~sQ9_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f136,f182])).
% 0.15/0.47 fof(f253,definition,(
% 0.15/0.47 sQ25_spl <=> (sk_c9=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f255,plain,(
% 0.15/0.47 ~sk_c9=sk_c9|sQ25_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f253])).
% 0.15/0.47 fof(f256,definition,(
% 0.15/0.47 sQ26_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f257,plain,(
% 0.15/0.47 inverse(sk_c4)=sk_c8|~sQ26_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f256])).
% 0.15/0.47 fof(f258,plain,(
% 0.15/0.47 ~inverse(sk_c4)=sk_c8|sQ26_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f256])).
% 0.15/0.47 fof(f259,plain,(
% 0.15/0.47 ~sQ25_spl|~sQ26_spl|~sQ15_spl|~sQ2_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f249,f253,f256,f181,f101])).
% 0.15/0.47 fof(f260,plain,(
% 0.15/0.47 ~sQ25_spl|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f250,f253,f109,f181,f105])).
% 0.15/0.47 fof(f261,definition,(
% 0.15/0.47 sQ27_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f263,plain,(
% 0.15/0.47 ~inverse(sk_c1)=sk_c8|sQ27_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f261])).
% 0.15/0.47 fof(f264,plain,(
% 0.15/0.47 ~sQ25_spl|~sQ27_spl|~sQ15_spl|~sQ9_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f251,f253,f261,f181,f135])).
% 0.15/0.47 fof(f265,plain,(
% 0.15/0.47 $false|sQ25_spl),
% 0.15/0.47 inference(trivial_equality_resolution,[status(thm)],[f255])).
% 0.15/0.47 fof(f266,plain,(
% 0.15/0.47 sQ25_spl),
% 0.15/0.47 inference(contradiction_clause,[status(thm)],[f265])).
% 0.15/0.47 fof(f268,plain,(
% 0.15/0.47 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.15/0.47 inference(destructive_equality_resolution,[status(thm)],[f179])).
% 0.15/0.47 fof(f273,plain,(
% 0.15/0.47 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.15/0.47 fof(f274,plain,(
% 0.15/0.47 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f47,f273])).
% 0.15/0.47 fof(f284,plain,(
% 0.15/0.47 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(identity)=sk_c9|~sQ14_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f47,f268])).
% 0.15/0.47 fof(f286,plain,(
% 0.15/0.47 ~multiply(sk_c9,sk_c3)=sk_c8|~inverse(sk_c2)=sk_c9|~sQ14_spl|~sQ11_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f156,f268])).
% 0.15/0.47 fof(f298,definition,(
% 0.15/0.47 sQ31_spl <=> (inverse(identity)=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f300,plain,(
% 0.15/0.47 ~inverse(identity)=sk_c9|sQ31_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f298])).
% 0.15/0.47 fof(f301,plain,(
% 0.15/0.47 ~sQ20_spl|~sQ31_spl|~sQ14_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f284,f221,f298,f178])).
% 0.15/0.47 fof(f302,plain,(
% 0.15/0.47 ~sQ10_spl|~sQ12_spl|~sQ14_spl|~sQ11_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f286,f145,f165,f178,f155])).
% 0.15/0.47 fof(f303,plain,(
% 0.15/0.47 ~inverse(inverse(sk_c8))=sk_c9|~identity=sk_c9|~sQ13_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f48,f176])).
% 0.15/0.47 fof(f304,plain,(
% 0.15/0.47 ~inverse(identity)=sk_c9|~sk_c8=sk_c9|~sQ13_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f47,f176])).
% 0.15/0.47 fof(f306,definition,(
% 0.15/0.47 sQ32_spl <=> (inverse(inverse(sk_c8))=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f309,definition,(
% 0.15/0.47 sQ33_spl <=> (identity=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f311,plain,(
% 0.15/0.47 ~identity=sk_c9|sQ33_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f309])).
% 0.15/0.47 fof(f312,plain,(
% 0.15/0.47 ~sQ32_spl|~sQ33_spl|~sQ13_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f303,f306,f309,f175])).
% 0.15/0.47 fof(f313,definition,(
% 0.15/0.47 sQ34_spl <=> (sk_c8=sk_c9)),
% 0.15/0.47 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.15/0.47 fof(f314,plain,(
% 0.15/0.47 sk_c8=sk_c9|~sQ34_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f313])).
% 0.15/0.47 fof(f315,plain,(
% 0.15/0.47 ~sk_c8=sk_c9|sQ34_spl),
% 0.15/0.47 inference(component_clause,[status(thm)],[f313])).
% 0.15/0.47 fof(f316,plain,(
% 0.15/0.47 ~sQ31_spl|~sQ34_spl|~sQ13_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f304,f298,f313,f175])).
% 0.15/0.47 fof(f317,plain,(
% 0.15/0.47 ~sk_c9=sk_c8|~sQ1_spl|sQ26_spl),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f98,f258])).
% 0.15/0.47 fof(f319,plain,(
% 0.15/0.47 ~multiply(sk_c6,sk_c7)=sk_c8|~sQ6_spl|sQ22_spl),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f118,f231])).
% 0.15/0.47 fof(f321,plain,(
% 0.15/0.47 ~sk_c8=sk_c8|~sQ5_spl|~sQ6_spl|sQ22_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f114,f319])).
% 0.15/0.47 fof(f322,plain,(
% 0.15/0.47 $false|~sQ5_spl|~sQ6_spl|sQ22_spl),
% 0.15/0.47 inference(trivial_equality_resolution,[status(thm)],[f321])).
% 0.15/0.47 fof(f323,plain,(
% 0.15/0.47 ~sQ5_spl|~sQ6_spl|sQ22_spl),
% 0.15/0.47 inference(contradiction_clause,[status(thm)],[f322])).
% 0.15/0.47 fof(f327,plain,(
% 0.15/0.47 ~sk_c9=sk_c8|~sQ8_spl|sQ27_spl),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f126,f263])).
% 0.15/0.47 fof(f356,plain,(
% 0.15/0.47 sk_c8=multiply(inverse(sk_c1),sk_c9)|~sQ9_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f136,f274])).
% 0.15/0.47 fof(f359,plain,(
% 0.15/0.47 sk_c8=multiply(inverse(sk_c5),sk_c9)|~sQ3_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f106,f274])).
% 0.15/0.47 fof(f360,plain,(
% 0.15/0.47 sk_c8=multiply(inverse(sk_c4),sk_c9)|~sQ2_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f102,f274])).
% 0.15/0.47 fof(f369,plain,(
% 0.15/0.47 sk_c9=multiply(inverse(sk_c2),sk_c3)|~sQ11_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f156,f274])).
% 0.15/0.47 fof(f371,plain,(
% 0.15/0.47 sk_c8=multiply(sk_c9,sk_c9)|~sQ8_spl|~sQ9_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f126,f356])).
% 0.15/0.47 fof(f372,plain,(
% 0.15/0.47 $false|sQ20_spl|~sQ8_spl|~sQ9_spl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f371,f223])).
% 0.15/0.47 fof(f373,plain,(
% 0.15/0.47 sQ20_spl|~sQ8_spl|~sQ9_spl),
% 0.15/0.47 inference(contradiction_clause,[status(thm)],[f372])).
% 0.15/0.47 fof(f374,plain,(
% 0.15/0.47 sk_c8=multiply(sk_c8,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f110,f359])).
% 0.15/0.47 fof(f375,plain,(
% 0.15/0.47 sk_c8=multiply(sk_c9,sk_c9)|~sQ1_spl|~sQ2_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f98,f360])).
% 0.15/0.47 fof(f379,plain,(
% 0.15/0.47 sk_c9=multiply(sk_c9,sk_c3)|~sQ12_spl|~sQ11_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f166,f369])).
% 0.15/0.47 fof(f398,plain,(
% 0.15/0.47 sk_c9=multiply(inverse(sk_c8),sk_c8)|~sQ4_spl|~sQ3_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f374,f274])).
% 0.15/0.47 fof(f400,plain,(
% 0.15/0.47 sk_c9=identity|~sQ4_spl|~sQ3_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f48,f398])).
% 0.15/0.47 fof(f401,plain,(
% 0.15/0.47 $false|sQ33_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f400,f311])).
% 0.15/0.47 fof(f402,plain,(
% 0.15/0.47 sQ33_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.47 inference(contradiction_clause,[status(thm)],[f401])).
% 0.15/0.47 fof(f407,plain,(
% 0.15/0.47 ~inverse(sk_c9)=sk_c9|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f400,f300])).
% 0.15/0.47 fof(f409,plain,(
% 0.15/0.47 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ4_spl|~sQ3_spl)),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f400,f48])).
% 0.15/0.47 fof(f410,plain,(
% 0.15/0.47 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f400,f47])).
% 0.15/0.47 fof(f421,plain,(
% 0.15/0.47 sk_c8=sk_c9|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f410,f375])).
% 0.15/0.47 fof(f422,plain,(
% 0.15/0.47 $false|sQ34_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f421,f315])).
% 0.15/0.47 fof(f423,plain,(
% 0.15/0.47 sQ34_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.15/0.47 inference(contradiction_clause,[status(thm)],[f422])).
% 0.15/0.47 fof(f425,plain,(
% 0.15/0.47 ~sQ34_spl|~sQ1_spl|sQ26_spl),
% 0.15/0.47 inference(split_clause,[status(thm)],[f317,f313,f97,f256])).
% 0.15/0.47 fof(f427,plain,(
% 0.15/0.47 ![X0]: (multiply(sk_c8,X0)=X0|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f421,f410])).
% 0.15/0.47 fof(f428,plain,(
% 0.15/0.47 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f421,f409])).
% 0.15/0.47 fof(f429,plain,(
% 0.15/0.47 ~inverse(sk_c9)=sk_c8|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f421,f407])).
% 0.15/0.47 fof(f433,plain,(
% 0.15/0.47 ~inverse(sk_c8)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f421,f96])).
% 0.15/0.47 fof(f445,plain,(
% 0.15/0.47 ~inverse(sk_c8)=sk_c8|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f421,f429])).
% 0.15/0.47 fof(f449,plain,(
% 0.15/0.47 multiply(sk_c8,sk_c4)=sk_c8|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ26_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f257,f428])).
% 0.15/0.47 fof(f450,plain,(
% 0.15/0.47 multiply(sk_c8,sk_c5)=sk_c8|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f110,f428])).
% 0.15/0.47 fof(f454,plain,(
% 0.15/0.47 sk_c4=sk_c8|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ26_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f427,f449])).
% 0.15/0.47 fof(f455,plain,(
% 0.15/0.47 sk_c5=sk_c8|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f427,f450])).
% 0.15/0.47 fof(f459,plain,(
% 0.15/0.47 ~inverse(sk_c8)=sk_c4|~sQ26_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f454,f445])).
% 0.15/0.47 fof(f460,plain,(
% 0.15/0.47 ![X0]: (multiply(sk_c4,X0)=X0|~sQ26_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f454,f427])).
% 0.15/0.47 fof(f461,plain,(
% 0.15/0.47 inverse(sk_c4)=sk_c4|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ26_spl),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f454,f257])).
% 0.15/0.47 fof(f463,plain,(
% 0.15/0.47 sk_c4=sk_c9|~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f454,f421])).
% 0.21/0.48 fof(f465,plain,(
% 0.21/0.48 inverse(sk_c5)=sk_c4|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ26_spl|~sQ4_spl),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f454,f110])).
% 0.21/0.48 fof(f468,plain,(
% 0.21/0.48 ~inverse(sk_c4)=sk_c4|~sQ26_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f454,f459])).
% 0.21/0.48 fof(f469,plain,(
% 0.21/0.48 sk_c4=sk_c5|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ26_spl),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f455,f454])).
% 0.21/0.48 fof(f471,plain,(
% 0.21/0.48 sk_c5=sk_c9|~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.21/0.48 inference(backward_demodulation,[status(thm)],[f469,f463])).
% 0.21/0.48 fof(f484,plain,(
% 0.21/0.48 ~inverse(sk_c5)=sk_c4|~sQ26_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f469,f468])).
% 0.21/0.48 fof(f485,plain,(
% 0.21/0.48 ~inverse(sk_c5)=sk_c5|~sQ26_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ31_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f469,f484])).
% 0.21/0.48 fof(f486,plain,(
% 0.21/0.48 ![X0]: (multiply(sk_c5,X0)=X0|~sQ26_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f469,f460])).
% 0.21/0.48 fof(f501,plain,(
% 0.21/0.48 inverse(sk_c5)=sk_c4|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ26_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f469,f461])).
% 0.21/0.48 fof(f502,plain,(
% 0.21/0.48 inverse(sk_c5)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ26_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f469,f501])).
% 0.21/0.48 fof(f503,plain,(
% 0.21/0.48 $false|sQ31_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ26_spl),
% 0.21/0.48 inference(forward_subsumption_resolution,[status(thm)],[f502,f485])).
% 0.21/0.48 fof(f504,plain,(
% 0.21/0.48 sQ31_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ26_spl),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f503])).
% 0.21/0.48 fof(f505,plain,(
% 0.21/0.48 ~inverse(sk_c5)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f455,f433])).
% 0.21/0.48 fof(f506,plain,(
% 0.21/0.48 ~inverse(sk_c5)=sk_c5|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f455,f505])).
% 0.21/0.48 fof(f510,plain,(
% 0.21/0.48 inverse(sk_c5)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ26_spl|~sQ4_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f469,f465])).
% 0.21/0.48 fof(f520,plain,(
% 0.21/0.48 ~sk_c5=sk_c5|~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f510,f506])).
% 0.21/0.48 fof(f521,plain,(
% 0.21/0.48 $false|~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.21/0.48 inference(trivial_equality_resolution,[status(thm)],[f520])).
% 0.21/0.48 fof(f522,plain,(
% 0.21/0.48 ~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f521])).
% 0.21/0.48 fof(f563,plain,(
% 0.21/0.48 ~multiply(sk_c5,sk_c9)=sk_c8|~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ20_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f471,f223])).
% 0.21/0.48 fof(f564,plain,(
% 0.21/0.48 ~sk_c9=sk_c8|~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ20_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f486,f563])).
% 0.21/0.48 fof(f565,plain,(
% 0.21/0.48 ~sk_c5=sk_c8|~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ20_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f471,f564])).
% 0.21/0.48 fof(f566,plain,(
% 0.21/0.48 ~sk_c5=sk_c5|~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ20_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f455,f565])).
% 0.21/0.48 fof(f567,plain,(
% 0.21/0.48 $false|~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ20_spl),
% 0.21/0.48 inference(trivial_equality_resolution,[status(thm)],[f566])).
% 0.21/0.48 fof(f568,plain,(
% 0.21/0.48 ~sQ26_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ20_spl),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f567])).
% 0.21/0.48 fof(f582,plain,(
% 0.21/0.48 sk_c9=sk_c8|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f146,f379])).
% 0.21/0.48 fof(f583,plain,(
% 0.21/0.48 $false|~sQ8_spl|sQ27_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.21/0.48 inference(forward_subsumption_resolution,[status(thm)],[f582,f327])).
% 0.21/0.48 fof(f584,plain,(
% 0.21/0.48 ~sQ8_spl|sQ27_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f583])).
% 0.21/0.48 fof(f585,plain,(
% 0.21/0.48 sQ34_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.21/0.48 inference(split_clause,[status(thm)],[f582,f313,f145,f165,f155])).
% 0.21/0.48 fof(f596,plain,(
% 0.21/0.48 multiply(sk_c1,sk_c8)=sk_c8|~sQ34_spl|~sQ9_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f314,f136])).
% 0.21/0.48 fof(f618,plain,(
% 0.21/0.48 ~multiply(sk_c1,sk_c8)=sk_c8|~sQ34_spl|~sQ8_spl|sQ23_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f314,f243])).
% 0.21/0.48 fof(f619,plain,(
% 0.21/0.48 ~sk_c8=sk_c8|~sQ9_spl|~sQ34_spl|~sQ8_spl|sQ23_spl),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f596,f618])).
% 0.21/0.48 fof(f620,plain,(
% 0.21/0.48 $false|~sQ9_spl|~sQ34_spl|~sQ8_spl|sQ23_spl),
% 0.21/0.48 inference(trivial_equality_resolution,[status(thm)],[f619])).
% 0.21/0.48 fof(f621,plain,(
% 0.21/0.48 ~sQ9_spl|~sQ34_spl|~sQ8_spl|sQ23_spl),
% 0.21/0.48 inference(contradiction_clause,[status(thm)],[f620])).
% 0.21/0.48 fof(f622,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c9|~sQ34_spl|~sQ13_spl)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f314,f176])).
% 0.21/0.48 fof(f623,plain,(
% 0.21/0.48 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c8|~sQ34_spl|~sQ13_spl)),
% 0.21/0.48 inference(forward_demodulation,[status(thm)],[f314,f622])).
% 0.21/0.48 fof(f654,plain,(
% 0.21/0.48 ~inverse(sk_c1)=sk_c8|~sQ13_spl|~sQ34_spl|~sQ9_spl),
% 0.21/0.48 inference(resolution,[status(thm)],[f623,f596])).
% 0.21/0.48 fof(f663,plain,(
% 0.21/0.48 ~sQ27_spl|~sQ13_spl|~sQ34_spl|~sQ9_spl),
% 0.21/0.48 inference(split_clause,[status(thm)],[f654,f261,f175,f313,f135])).
% 0.21/0.48 fof(f690,plain,(
% 0.21/0.48 $false),
% 0.21/0.48 inference(sat_refutation,[status(thm)],[f100,f104,f108,f112,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,f187,f224,f232,f236,f240,f259,f260,f264,f266,f301,f302,f312,f316,f323,f373,f402,f423,f425,f504,f522,f568,f584,f585,f621,f663])).
% 0.21/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.50 % Elapsed time: 0.063521 seconds
% 0.21/0.50 % CPU time: 0.195937 seconds
% 0.21/0.50 % Total memory used: 104.235 MB
% 0.21/0.50 % Net memory used: 104.136 MB
%------------------------------------------------------------------------------