%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP317-1 : 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 : n013.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 12:36:26 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP317-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 20:08:36 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.42 fof(f1,axiom,(
% 0.15/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f2,axiom,(
% 0.15/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f3,axiom,(
% 0.15/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f5,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c8) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f6,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f7,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f8,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f9,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c6) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f10,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f11,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f12,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f13,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f14,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f15,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f16,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f18,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f19,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f20,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f21,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f22,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c9,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f24,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c9,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f25,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c9,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f26,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c9,sk_c7) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f27,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c9,sk_c7) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f28,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f29,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| inverse(sk_c8) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f30,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f31,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f32,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f33,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f34,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f35,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f36,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f37,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f38,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f39,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f40,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c4) = sk_c3| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f41,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c4) = sk_c3| inverse(sk_c8) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f42,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c4) = sk_c3| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f43,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c4) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f44,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c4) = sk_c3| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f45,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c4) = sk_c3| inverse(sk_c6) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f46,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c3) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f47,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c3) = sk_c9| inverse(sk_c8) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f48,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c3) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f49,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c3) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f50,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c3) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f51,negated_conjecture,(
% 0.15/0.42 ( inverse(sk_c3) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f54,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c4,sk_c9) = sk_c3| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f55,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c4,sk_c9) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f56,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c4,sk_c9) = sk_c3| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f57,negated_conjecture,(
% 0.15/0.42 ( multiply(sk_c4,sk_c9) = sk_c3| inverse(sk_c6) = sk_c9 ) ),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f58,negated_conjecture,(
% 0.15/0.42 (![X3,X4,X5,X6,X1,X2]: (( multiply(sk_c8,sk_c9) != sk_c7| multiply(X3,sk_c9) != sk_c8| inverse(X3) != sk_c9| multiply(sk_c9,sk_c7) != sk_c8| multiply(X4,sk_c8) != sk_c9| inverse(X4) != sk_c8| inverse(X5) != X6| inverse(X6) != sk_c9| multiply(X5,sk_c9) != X6| multiply(sk_c8,sk_c7) != sk_c9| inverse(sk_c8) != sk_c7| multiply(X1,sk_c8) != sk_c9| inverse(X1) != sk_c8| multiply(X2,sk_c9) != sk_c7| inverse(X2) != sk_c9 ) ))),
% 0.15/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.42 fof(f59,plain,(
% 0.15/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.42 fof(f60,plain,(
% 0.15/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.42 fof(f61,plain,(
% 0.15/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.42 fof(f63,plain,(
% 0.15/0.42 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c8)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.42 fof(f64,plain,(
% 0.15/0.42 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.42 fof(f65,plain,(
% 0.15/0.42 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.42 fof(f66,plain,(
% 0.15/0.42 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c6,sk_c9)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.42 fof(f67,plain,(
% 0.15/0.42 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c6)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.42 fof(f68,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.42 fof(f69,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.42 fof(f70,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.42 fof(f71,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.42 fof(f72,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.42 fof(f73,plain,(
% 0.15/0.42 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.42 fof(f74,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.42 fof(f76,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.42 fof(f77,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/0.42 fof(f78,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.15/0.42 fof(f79,plain,(
% 0.15/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/0.42 fof(f80,plain,(
% 0.15/0.42 multiply(sk_c9,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.42 fof(f82,plain,(
% 0.15/0.42 multiply(sk_c9,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/0.42 fof(f83,plain,(
% 0.15/0.42 multiply(sk_c9,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.42 fof(f84,plain,(
% 0.15/0.42 multiply(sk_c9,sk_c7)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.15/0.42 fof(f85,plain,(
% 0.15/0.42 multiply(sk_c9,sk_c7)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.42 fof(f86,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c8)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/0.42 fof(f87,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c8)=sk_c9|inverse(sk_c8)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/0.42 fof(f88,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.42 fof(f89,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c8)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.42 fof(f90,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c8)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/0.42 fof(f91,plain,(
% 0.15/0.42 multiply(sk_c2,sk_c8)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.15/0.42 fof(f92,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.15/0.42 fof(f93,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f35])).
% 0.15/0.42 fof(f94,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.15/0.42 fof(f95,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f37])).
% 0.15/0.42 fof(f96,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.15/0.42 fof(f97,plain,(
% 0.15/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.15/0.42 fof(f98,plain,(
% 0.15/0.42 inverse(sk_c4)=sk_c3|multiply(sk_c8,sk_c7)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f40])).
% 0.15/0.42 fof(f99,plain,(
% 0.15/0.42 inverse(sk_c4)=sk_c3|inverse(sk_c8)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f41])).
% 0.15/0.42 fof(f100,plain,(
% 0.15/0.42 inverse(sk_c4)=sk_c3|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f42])).
% 0.15/0.42 fof(f101,plain,(
% 0.15/0.42 inverse(sk_c4)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f43])).
% 0.15/0.42 fof(f102,plain,(
% 0.15/0.42 inverse(sk_c4)=sk_c3|multiply(sk_c6,sk_c9)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f44])).
% 0.15/0.42 fof(f103,plain,(
% 0.15/0.42 inverse(sk_c4)=sk_c3|inverse(sk_c6)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f45])).
% 0.15/0.42 fof(f104,plain,(
% 0.15/0.42 inverse(sk_c3)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f46])).
% 0.15/0.42 fof(f105,plain,(
% 0.15/0.42 inverse(sk_c3)=sk_c9|inverse(sk_c8)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f47])).
% 0.15/0.42 fof(f106,plain,(
% 0.15/0.42 inverse(sk_c3)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f48])).
% 0.15/0.42 fof(f107,plain,(
% 0.15/0.42 inverse(sk_c3)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f49])).
% 0.15/0.42 fof(f108,plain,(
% 0.15/0.42 inverse(sk_c3)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f50])).
% 0.15/0.42 fof(f109,plain,(
% 0.15/0.42 inverse(sk_c3)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f51])).
% 0.15/0.42 fof(f112,plain,(
% 0.15/0.42 multiply(sk_c4,sk_c9)=sk_c3|multiply(sk_c5,sk_c8)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f54])).
% 0.15/0.42 fof(f113,plain,(
% 0.15/0.42 multiply(sk_c4,sk_c9)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f55])).
% 0.15/0.42 fof(f114,plain,(
% 0.15/0.42 multiply(sk_c4,sk_c9)=sk_c3|multiply(sk_c6,sk_c9)=sk_c7),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f56])).
% 0.15/0.42 fof(f115,plain,(
% 0.15/0.42 multiply(sk_c4,sk_c9)=sk_c3|inverse(sk_c6)=sk_c9),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f57])).
% 0.15/0.42 fof(f116,plain,(
% 0.15/0.42 ![X2]: (((![X1]: (((((![X5,X6]: ((((![X4]: ((((![X3]: ((~multiply(sk_c8,sk_c9)=sk_c7|~multiply(X3,sk_c9)=sk_c8)|~inverse(X3)=sk_c9))|~multiply(sk_c9,sk_c7)=sk_c8)|~multiply(X4,sk_c8)=sk_c9)|~inverse(X4)=sk_c8))|~inverse(X5)=X6)|~inverse(X6)=sk_c9)|~multiply(X5,sk_c9)=X6))|~multiply(sk_c8,sk_c7)=sk_c9)|~inverse(sk_c8)=sk_c7)|~multiply(X1,sk_c8)=sk_c9)|~inverse(X1)=sk_c8))|~multiply(X2,sk_c9)=sk_c7)|~inverse(X2)=sk_c9)),
% 0.15/0.42 inference(miniscoping,[status(thm)],[f58])).
% 0.15/0.42 fof(f117,plain,(
% 0.15/0.42 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c8,sk_c9)=sk_c7|~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(sk_c9,sk_c7)=sk_c8|~multiply(X1,sk_c8)=sk_c9|~inverse(X1)=sk_c8|~inverse(X2)=X3|~inverse(X3)=sk_c9|~multiply(X2,sk_c9)=X3|~multiply(sk_c8,sk_c7)=sk_c9|~inverse(sk_c8)=sk_c7|~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8|~multiply(X5,sk_c9)=sk_c7|~inverse(X5)=sk_c9)),
% 0.15/0.42 inference(cnf_transformation,[status(thm)],[f116])).
% 0.15/0.42 fof(f118,definition,(
% 0.15/0.42 sQ0_spl <=> (multiply(sk_c8,sk_c9)=sk_c7)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f119,plain,(
% 0.15/0.42 multiply(sk_c8,sk_c9)=sk_c7|~sQ0_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f118])).
% 0.15/0.42 fof(f120,plain,(
% 0.15/0.42 ~multiply(sk_c8,sk_c9)=sk_c7|sQ0_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f118])).
% 0.15/0.42 fof(f121,definition,(
% 0.15/0.42 sQ1_spl <=> (multiply(sk_c8,sk_c7)=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f123,plain,(
% 0.15/0.42 ~multiply(sk_c8,sk_c7)=sk_c9|sQ1_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f121])).
% 0.15/0.42 fof(f125,definition,(
% 0.15/0.42 sQ2_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f126,plain,(
% 0.15/0.42 inverse(sk_c8)=sk_c7|~sQ2_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f125])).
% 0.15/0.42 fof(f127,plain,(
% 0.15/0.42 ~inverse(sk_c8)=sk_c7|sQ2_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f125])).
% 0.15/0.42 fof(f128,plain,(
% 0.15/0.42 sQ0_spl|sQ2_spl),
% 0.15/0.42 inference(split_clause,[status(thm)],[f63,f118,f125])).
% 0.15/0.42 fof(f129,definition,(
% 0.15/0.42 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.15/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.42 fof(f130,plain,(
% 0.15/0.42 multiply(sk_c5,sk_c8)=sk_c9|~sQ3_spl),
% 0.15/0.42 inference(component_clause,[status(thm)],[f129])).
% 0.15/0.42 fof(f132,plain,(
% 0.15/0.42 sQ0_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f64,f118,f129])).
% 0.15/0.43 fof(f133,definition,(
% 0.15/0.43 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f134,plain,(
% 0.15/0.43 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.43 fof(f136,plain,(
% 0.15/0.43 sQ0_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f65,f118,f133])).
% 0.15/0.43 fof(f137,definition,(
% 0.15/0.43 sQ5_spl <=> (multiply(sk_c6,sk_c9)=sk_c7)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f138,plain,(
% 0.15/0.43 multiply(sk_c6,sk_c9)=sk_c7|~sQ5_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f137])).
% 0.15/0.43 fof(f140,plain,(
% 0.15/0.43 sQ0_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f66,f118,f137])).
% 0.15/0.43 fof(f141,definition,(
% 0.15/0.43 sQ6_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f142,plain,(
% 0.15/0.43 inverse(sk_c6)=sk_c9|~sQ6_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f141])).
% 0.15/0.43 fof(f144,plain,(
% 0.15/0.43 sQ0_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f67,f118,f141])).
% 0.15/0.43 fof(f145,definition,(
% 0.15/0.43 sQ7_spl <=> (multiply(sk_c1,sk_c9)=sk_c8)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f146,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c9)=sk_c8|~sQ7_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f145])).
% 0.15/0.43 fof(f148,plain,(
% 0.15/0.43 sQ7_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f68,f145,f121])).
% 0.15/0.43 fof(f149,plain,(
% 0.15/0.43 sQ7_spl|sQ2_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f69,f145,f125])).
% 0.15/0.43 fof(f150,plain,(
% 0.15/0.43 sQ7_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f70,f145,f129])).
% 0.15/0.43 fof(f151,plain,(
% 0.15/0.43 sQ7_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f71,f145,f133])).
% 0.15/0.43 fof(f152,plain,(
% 0.15/0.43 sQ7_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f72,f145,f137])).
% 0.15/0.43 fof(f153,plain,(
% 0.15/0.43 sQ7_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f73,f145,f141])).
% 0.15/0.43 fof(f154,definition,(
% 0.15/0.43 sQ8_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f155,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c9|~sQ8_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f154])).
% 0.15/0.43 fof(f156,plain,(
% 0.15/0.43 ~inverse(sk_c1)=sk_c9|sQ8_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f154])).
% 0.15/0.43 fof(f157,plain,(
% 0.15/0.43 sQ8_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f74,f154,f121])).
% 0.15/0.43 fof(f159,plain,(
% 0.15/0.43 sQ8_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f76,f154,f129])).
% 0.15/0.43 fof(f160,plain,(
% 0.15/0.43 sQ8_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f77,f154,f133])).
% 0.15/0.43 fof(f161,plain,(
% 0.15/0.43 sQ8_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f78,f154,f137])).
% 0.15/0.43 fof(f162,plain,(
% 0.15/0.43 sQ8_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f79,f154,f141])).
% 0.15/0.43 fof(f163,definition,(
% 0.15/0.43 sQ9_spl <=> (multiply(sk_c9,sk_c7)=sk_c8)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f164,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c7)=sk_c8|~sQ9_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f163])).
% 0.15/0.43 fof(f165,plain,(
% 0.15/0.43 ~multiply(sk_c9,sk_c7)=sk_c8|sQ9_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f163])).
% 0.15/0.43 fof(f166,plain,(
% 0.15/0.43 sQ9_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f80,f163,f121])).
% 0.15/0.43 fof(f168,plain,(
% 0.15/0.43 sQ9_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f82,f163,f129])).
% 0.15/0.43 fof(f169,plain,(
% 0.15/0.43 sQ9_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f83,f163,f133])).
% 0.15/0.43 fof(f170,plain,(
% 0.15/0.43 sQ9_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f84,f163,f137])).
% 0.15/0.43 fof(f171,plain,(
% 0.15/0.43 sQ9_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f85,f163,f141])).
% 0.15/0.43 fof(f172,definition,(
% 0.15/0.43 sQ10_spl <=> (multiply(sk_c2,sk_c8)=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f173,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c8)=sk_c9|~sQ10_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f172])).
% 0.15/0.43 fof(f175,plain,(
% 0.15/0.43 sQ10_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f86,f172,f121])).
% 0.15/0.43 fof(f176,plain,(
% 0.15/0.43 sQ10_spl|sQ2_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f87,f172,f125])).
% 0.15/0.43 fof(f177,plain,(
% 0.15/0.43 sQ10_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f88,f172,f129])).
% 0.15/0.43 fof(f178,plain,(
% 0.15/0.43 sQ10_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f89,f172,f133])).
% 0.15/0.43 fof(f179,plain,(
% 0.15/0.43 sQ10_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f90,f172,f137])).
% 0.15/0.43 fof(f180,plain,(
% 0.15/0.43 sQ10_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f91,f172,f141])).
% 0.15/0.43 fof(f181,definition,(
% 0.15/0.43 sQ11_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f182,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c8|~sQ11_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f181])).
% 0.15/0.43 fof(f184,plain,(
% 0.15/0.43 sQ11_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f92,f181,f121])).
% 0.15/0.43 fof(f185,plain,(
% 0.15/0.43 sQ11_spl|sQ2_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f93,f181,f125])).
% 0.15/0.43 fof(f186,plain,(
% 0.15/0.43 sQ11_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f94,f181,f129])).
% 0.15/0.43 fof(f187,plain,(
% 0.15/0.43 sQ11_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f95,f181,f133])).
% 0.15/0.43 fof(f188,plain,(
% 0.15/0.43 sQ11_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f96,f181,f137])).
% 0.15/0.43 fof(f189,plain,(
% 0.15/0.43 sQ11_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f97,f181,f141])).
% 0.15/0.43 fof(f190,definition,(
% 0.15/0.43 sQ12_spl <=> (inverse(sk_c4)=sk_c3)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f191,plain,(
% 0.15/0.43 inverse(sk_c4)=sk_c3|~sQ12_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f190])).
% 0.15/0.43 fof(f193,plain,(
% 0.15/0.43 sQ12_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f98,f190,f121])).
% 0.15/0.43 fof(f194,plain,(
% 0.15/0.43 sQ12_spl|sQ2_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f99,f190,f125])).
% 0.15/0.43 fof(f195,plain,(
% 0.15/0.43 sQ12_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f100,f190,f129])).
% 0.15/0.43 fof(f196,plain,(
% 0.15/0.43 sQ12_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f101,f190,f133])).
% 0.15/0.43 fof(f197,plain,(
% 0.15/0.43 sQ12_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f102,f190,f137])).
% 0.15/0.43 fof(f198,plain,(
% 0.15/0.43 sQ12_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f103,f190,f141])).
% 0.15/0.43 fof(f199,definition,(
% 0.15/0.43 sQ13_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f200,plain,(
% 0.15/0.43 inverse(sk_c3)=sk_c9|~sQ13_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f199])).
% 0.15/0.43 fof(f202,plain,(
% 0.15/0.43 sQ13_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f104,f199,f121])).
% 0.15/0.43 fof(f203,plain,(
% 0.15/0.43 sQ13_spl|sQ2_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f105,f199,f125])).
% 0.15/0.43 fof(f204,plain,(
% 0.15/0.43 sQ13_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f106,f199,f129])).
% 0.15/0.43 fof(f205,plain,(
% 0.15/0.43 sQ13_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f107,f199,f133])).
% 0.15/0.43 fof(f206,plain,(
% 0.15/0.43 sQ13_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f108,f199,f137])).
% 0.15/0.43 fof(f207,plain,(
% 0.15/0.43 sQ13_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f109,f199,f141])).
% 0.15/0.43 fof(f208,definition,(
% 0.15/0.43 sQ14_spl <=> (multiply(sk_c4,sk_c9)=sk_c3)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f209,plain,(
% 0.15/0.43 multiply(sk_c4,sk_c9)=sk_c3|~sQ14_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f208])).
% 0.15/0.43 fof(f213,plain,(
% 0.15/0.43 sQ14_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f112,f208,f129])).
% 0.15/0.43 fof(f214,plain,(
% 0.15/0.43 sQ14_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f113,f208,f133])).
% 0.15/0.43 fof(f215,plain,(
% 0.15/0.43 sQ14_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f114,f208,f137])).
% 0.15/0.43 fof(f216,plain,(
% 0.15/0.43 sQ14_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f115,f208,f141])).
% 0.15/0.43 fof(f217,definition,(
% 0.15/0.43 ![X0]: (sQ15_spl <=> (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9))),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f218,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ15_spl)),
% 0.15/0.43 inference(component_clause,[status(thm)],[f217])).
% 0.15/0.43 fof(f220,definition,(
% 0.15/0.43 ![X1]: (sQ16_spl <=> (~multiply(X1,sk_c8)=sk_c9|~inverse(X1)=sk_c8))),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f221,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ16_spl)),
% 0.15/0.43 inference(component_clause,[status(thm)],[f220])).
% 0.15/0.43 fof(f223,definition,(
% 0.15/0.43 ![X2,X3]: (sQ17_spl <=> (~inverse(X2)=X3|~inverse(X3)=sk_c9|~multiply(X2,sk_c9)=X3))),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f224,plain,(
% 0.15/0.43 ![X0,X1]: (~inverse(X0)=X1|~inverse(X1)=sk_c9|~multiply(X0,sk_c9)=X1|~sQ17_spl)),
% 0.15/0.43 inference(component_clause,[status(thm)],[f223])).
% 0.15/0.43 fof(f226,definition,(
% 0.15/0.43 ![X5]: (sQ18_spl <=> (~multiply(X5,sk_c9)=sk_c7|~inverse(X5)=sk_c9))),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f227,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c9)=sk_c7|~inverse(X0)=sk_c9|~sQ18_spl)),
% 0.15/0.43 inference(component_clause,[status(thm)],[f226])).
% 0.15/0.43 fof(f229,plain,(
% 0.15/0.43 ~sQ0_spl|sQ15_spl|~sQ9_spl|sQ16_spl|sQ17_spl|~sQ1_spl|~sQ2_spl|sQ18_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f117,f118,f217,f163,f220,f223,f121,f125,f226])).
% 0.15/0.43 fof(f230,plain,(
% 0.15/0.43 ~inverse(sk_c6)=sk_c9|~sQ18_spl|~sQ5_spl),
% 0.15/0.43 inference(resolution,[status(thm)],[f227,f138])).
% 0.15/0.43 fof(f231,plain,(
% 0.15/0.43 ~sk_c8=sk_c7|~inverse(sk_c1)=sk_c9|~sQ18_spl|~sQ7_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f146,f227])).
% 0.15/0.43 fof(f234,plain,(
% 0.15/0.43 ~sk_c9=sk_c9|~sQ6_spl|~sQ18_spl|~sQ5_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f142,f230])).
% 0.15/0.43 fof(f235,plain,(
% 0.15/0.43 $false|~sQ6_spl|~sQ18_spl|~sQ5_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f234])).
% 0.15/0.43 fof(f236,plain,(
% 0.15/0.43 ~sQ6_spl|~sQ18_spl|~sQ5_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f235])).
% 0.15/0.43 fof(f237,plain,(
% 0.15/0.43 ![X0]: (~inverse(inverse(X0))=sk_c9|~multiply(X0,sk_c9)=inverse(X0)|~sQ17_spl)),
% 0.15/0.43 inference(destructive_equality_resolution,[status(thm)],[f224])).
% 0.15/0.43 fof(f240,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c9,X0))|~sQ7_spl)),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f146,f61])).
% 0.15/0.43 fof(f247,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c8))=sk_c9|~sk_c7=inverse(sk_c8)|~sQ17_spl|~sQ0_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f119,f237])).
% 0.15/0.43 fof(f248,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c1))=sk_c9|~sk_c8=inverse(sk_c1)|~sQ17_spl|~sQ7_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f146,f237])).
% 0.15/0.43 fof(f249,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c4))=sk_c9|~sk_c3=inverse(sk_c4)|~sQ17_spl|~sQ14_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f209,f237])).
% 0.15/0.43 fof(f250,definition,(
% 0.15/0.43 sQ19_spl <=> (inverse(inverse(sk_c8))=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f252,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c8))=sk_c9|sQ19_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f250])).
% 0.15/0.43 fof(f253,plain,(
% 0.15/0.43 ~sQ19_spl|~sQ2_spl|~sQ17_spl|~sQ0_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f247,f250,f125,f223,f118])).
% 0.15/0.43 fof(f254,definition,(
% 0.15/0.43 sQ20_spl <=> (inverse(inverse(sk_c1))=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f257,definition,(
% 0.15/0.43 sQ21_spl <=> (sk_c8=inverse(sk_c1))),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f259,plain,(
% 0.15/0.43 ~sk_c8=inverse(sk_c1)|sQ21_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f257])).
% 0.15/0.43 fof(f260,plain,(
% 0.15/0.43 ~sQ20_spl|~sQ21_spl|~sQ17_spl|~sQ7_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f248,f254,f257,f223,f145])).
% 0.15/0.43 fof(f261,definition,(
% 0.15/0.43 sQ22_spl <=> (inverse(inverse(sk_c4))=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f263,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c4))=sk_c9|sQ22_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f261])).
% 0.15/0.43 fof(f264,plain,(
% 0.15/0.43 ~sQ22_spl|~sQ12_spl|~sQ17_spl|~sQ14_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f249,f261,f190,f223,f208])).
% 0.15/0.43 fof(f265,plain,(
% 0.15/0.43 ~inverse(sk_c3)=sk_c9|~sQ12_spl|sQ22_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f191,f263])).
% 0.15/0.43 fof(f266,plain,(
% 0.15/0.43 ~sk_c9=sk_c9|~sQ13_spl|~sQ12_spl|sQ22_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f200,f265])).
% 0.15/0.43 fof(f267,plain,(
% 0.15/0.43 $false|~sQ13_spl|~sQ12_spl|sQ22_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f266])).
% 0.15/0.43 fof(f268,plain,(
% 0.15/0.43 ~sQ13_spl|~sQ12_spl|sQ22_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f267])).
% 0.15/0.43 fof(f269,plain,(
% 0.15/0.43 ~sk_c8=sk_c9|~sQ8_spl|sQ21_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f155,f259])).
% 0.15/0.43 fof(f275,plain,(
% 0.15/0.43 multiply(sk_c3,sk_c4)=identity|~sQ12_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f191,f60])).
% 0.15/0.43 fof(f279,plain,(
% 0.15/0.43 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f60,f61])).
% 0.15/0.43 fof(f280,plain,(
% 0.15/0.43 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f59,f279])).
% 0.15/0.43 fof(f300,plain,(
% 0.15/0.43 sk_c4=multiply(inverse(sk_c3),identity)|~sQ12_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f275,f280])).
% 0.15/0.43 fof(f313,plain,(
% 0.15/0.43 sk_c8=multiply(inverse(sk_c2),sk_c9)|~sQ10_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f173,f280])).
% 0.15/0.43 fof(f315,plain,(
% 0.15/0.43 sk_c8=multiply(inverse(sk_c5),sk_c9)|~sQ3_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f130,f280])).
% 0.15/0.43 fof(f317,plain,(
% 0.15/0.43 sk_c4=multiply(sk_c9,identity)|~sQ13_spl|~sQ12_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f200,f300])).
% 0.15/0.43 fof(f319,plain,(
% 0.15/0.43 sk_c8=multiply(sk_c8,sk_c9)|~sQ11_spl|~sQ10_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f182,f313])).
% 0.15/0.43 fof(f320,plain,(
% 0.15/0.43 sk_c8=sk_c7|~sQ0_spl|~sQ11_spl|~sQ10_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f119,f319])).
% 0.15/0.43 fof(f322,plain,(
% 0.15/0.43 sk_c8=multiply(sk_c8,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f134,f315])).
% 0.15/0.43 fof(f323,plain,(
% 0.15/0.43 sk_c8=sk_c7|~sQ0_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f119,f322])).
% 0.15/0.43 fof(f328,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c7)=sk_c7|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f320,f164])).
% 0.15/0.43 fof(f329,plain,(
% 0.15/0.43 ~sk_c7=sk_c9|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|sQ21_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f320,f269])).
% 0.15/0.43 fof(f330,plain,(
% 0.15/0.43 multiply(sk_c7,sk_c9)=sk_c7|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f320,f119])).
% 0.15/0.43 fof(f331,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c9)=sk_c7|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f320,f146])).
% 0.15/0.43 fof(f334,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c7|~sQ0_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f320,f182])).
% 0.15/0.43 fof(f336,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c7)=sk_c9|~inverse(X0)=sk_c8|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ16_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f320,f221])).
% 0.15/0.43 fof(f337,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c7)=sk_c9|~inverse(X0)=sk_c7|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ16_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f320,f336])).
% 0.15/0.43 fof(f338,plain,(
% 0.15/0.43 ~identity=sk_c9|~inverse(inverse(sk_c7))=sk_c7|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ16_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f60,f337])).
% 0.15/0.43 fof(f339,plain,(
% 0.15/0.43 ~sk_c7=sk_c9|~inverse(identity)=sk_c7|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ16_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f59,f337])).
% 0.15/0.43 fof(f341,definition,(
% 0.15/0.43 sQ23_spl <=> (identity=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f343,plain,(
% 0.15/0.43 ~identity=sk_c9|sQ23_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f341])).
% 0.15/0.43 fof(f344,definition,(
% 0.15/0.43 sQ24_spl <=> (inverse(inverse(sk_c7))=sk_c7)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f346,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c7))=sk_c7|sQ24_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f344])).
% 0.15/0.43 fof(f347,plain,(
% 0.15/0.43 ~sQ23_spl|~sQ24_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ16_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f338,f341,f344,f118,f181,f172,f220])).
% 0.15/0.43 fof(f348,definition,(
% 0.15/0.43 sQ25_spl <=> (sk_c7=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f350,plain,(
% 0.15/0.43 ~sk_c7=sk_c9|sQ25_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f348])).
% 0.15/0.43 fof(f351,definition,(
% 0.15/0.43 sQ26_spl <=> (inverse(identity)=sk_c7)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f353,plain,(
% 0.15/0.43 ~inverse(identity)=sk_c7|sQ26_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f351])).
% 0.15/0.43 fof(f354,plain,(
% 0.15/0.43 ~sQ25_spl|~sQ26_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ16_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f339,f348,f351,f118,f181,f172,f220])).
% 0.15/0.43 fof(f355,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c9)=sk_c7|~inverse(X0)=sk_c9|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ15_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f320,f218])).
% 0.15/0.43 fof(f358,plain,(
% 0.15/0.43 sk_c9=multiply(inverse(sk_c7),sk_c7)|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f330,f280])).
% 0.15/0.43 fof(f360,plain,(
% 0.15/0.43 sk_c9=identity|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f60,f358])).
% 0.15/0.43 fof(f361,plain,(
% 0.15/0.43 $false|sQ23_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f360,f343])).
% 0.15/0.43 fof(f362,plain,(
% 0.15/0.43 sQ23_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f361])).
% 0.15/0.43 fof(f367,plain,(
% 0.15/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ11_spl|~sQ10_spl|~sQ0_spl)),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f360,f60])).
% 0.15/0.43 fof(f368,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c9,X0)=X0|~sQ11_spl|~sQ10_spl|~sQ0_spl)),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f360,f59])).
% 0.15/0.43 fof(f369,plain,(
% 0.15/0.43 sk_c9=multiply(inverse(sk_c1),sk_c7)|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f331,f280])).
% 0.15/0.43 fof(f371,plain,(
% 0.15/0.43 sk_c9=multiply(sk_c9,sk_c7)|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f155,f369])).
% 0.15/0.43 fof(f372,plain,(
% 0.15/0.43 sk_c9=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f328,f371])).
% 0.15/0.43 fof(f373,plain,(
% 0.15/0.43 $false|sQ21_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f372,f329])).
% 0.15/0.43 fof(f374,plain,(
% 0.15/0.43 sQ21_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f373])).
% 0.15/0.43 fof(f377,plain,(
% 0.15/0.43 sk_c7=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f372,f360])).
% 0.15/0.43 fof(f387,plain,(
% 0.15/0.43 ~sk_c7=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ25_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f372,f350])).
% 0.15/0.43 fof(f388,plain,(
% 0.15/0.43 $false|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ25_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f387])).
% 0.15/0.43 fof(f389,plain,(
% 0.15/0.43 ~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ25_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f388])).
% 0.15/0.43 fof(f392,plain,(
% 0.15/0.43 ~inverse(sk_c7)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ26_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f377,f353])).
% 0.15/0.43 fof(f393,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c7,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f372,f368])).
% 0.15/0.43 fof(f431,plain,(
% 0.15/0.43 sk_c4=multiply(sk_c7,identity)|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|~sQ13_spl|~sQ12_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f372,f317])).
% 0.15/0.43 fof(f432,plain,(
% 0.15/0.43 sk_c7=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f433,f377])).
% 0.15/0.43 fof(f433,plain,(
% 0.15/0.43 sk_c4=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|~sQ13_spl|~sQ12_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f393,f431])).
% 0.15/0.43 fof(f437,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c4,X0)=X0|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl)),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f432,f393])).
% 0.15/0.43 fof(f438,plain,(
% 0.15/0.43 ~inverse(sk_c7)=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ26_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f432,f392])).
% 0.15/0.43 fof(f440,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f432,f334])).
% 0.15/0.43 fof(f441,plain,(
% 0.15/0.43 sk_c9=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f432,f372])).
% 0.15/0.43 fof(f442,plain,(
% 0.15/0.43 sk_c8=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f432,f320])).
% 0.15/0.43 fof(f443,plain,(
% 0.15/0.43 ~inverse(sk_c4)=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ26_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f432,f438])).
% 0.15/0.43 fof(f444,plain,(
% 0.15/0.43 ~sk_c3=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ26_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f191,f443])).
% 0.15/0.43 fof(f469,plain,(
% 0.15/0.43 inverse(sk_c4)=sk_c7|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ2_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f442,f126])).
% 0.15/0.43 fof(f470,plain,(
% 0.15/0.43 sk_c3=sk_c7|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ2_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f191,f469])).
% 0.15/0.43 fof(f477,plain,(
% 0.15/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f441,f367])).
% 0.15/0.43 fof(f484,plain,(
% 0.15/0.43 sk_c3=sk_c4|~sQ2_spl|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f470,f432])).
% 0.15/0.43 fof(f485,plain,(
% 0.15/0.43 $false|sQ26_spl|~sQ2_spl|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f484,f444])).
% 0.15/0.43 fof(f486,plain,(
% 0.15/0.43 sQ26_spl|~sQ2_spl|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f485])).
% 0.15/0.43 fof(f487,plain,(
% 0.15/0.43 ~inverse(sk_c4)=sk_c7|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ2_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f442,f127])).
% 0.15/0.43 fof(f488,plain,(
% 0.15/0.43 ~sk_c3=sk_c7|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ2_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f191,f487])).
% 0.15/0.43 fof(f489,plain,(
% 0.15/0.43 ~sk_c3=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ2_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f432,f488])).
% 0.15/0.43 fof(f497,plain,(
% 0.15/0.43 multiply(sk_c4,sk_c2)=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f440,f477])).
% 0.15/0.43 fof(f499,plain,(
% 0.15/0.43 sk_c2=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f437,f497])).
% 0.15/0.43 fof(f501,plain,(
% 0.15/0.43 inverse(sk_c4)=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f499,f440])).
% 0.15/0.43 fof(f503,plain,(
% 0.15/0.43 sk_c3=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f191,f501])).
% 0.15/0.43 fof(f504,plain,(
% 0.15/0.43 $false|sQ2_spl|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f503,f489])).
% 0.15/0.43 fof(f505,plain,(
% 0.15/0.43 sQ2_spl|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ10_spl|~sQ11_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f504])).
% 0.15/0.43 fof(f506,plain,(
% 0.15/0.43 ~multiply(sk_c4,sk_c7)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ1_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f442,f123])).
% 0.15/0.43 fof(f507,plain,(
% 0.15/0.43 ~sk_c7=sk_c9|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ1_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f437,f506])).
% 0.15/0.43 fof(f508,plain,(
% 0.15/0.43 ~sk_c4=sk_c9|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ1_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f432,f507])).
% 0.15/0.43 fof(f509,plain,(
% 0.15/0.43 ~sk_c4=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ1_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f441,f508])).
% 0.15/0.43 fof(f510,plain,(
% 0.15/0.43 $false|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ1_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f509])).
% 0.15/0.43 fof(f511,plain,(
% 0.15/0.43 ~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ1_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f510])).
% 0.15/0.43 fof(f517,definition,(
% 0.15/0.43 sQ27_spl <=> (sk_c8=sk_c7)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f519,plain,(
% 0.15/0.43 ~sk_c8=sk_c7|sQ27_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f517])).
% 0.15/0.43 fof(f520,plain,(
% 0.15/0.43 ~sQ27_spl|~sQ8_spl|~sQ18_spl|~sQ7_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f231,f517,f154,f226,f145])).
% 0.15/0.43 fof(f528,plain,(
% 0.15/0.43 ~sk_c4=sk_c7|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ27_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f442,f519])).
% 0.15/0.43 fof(f529,plain,(
% 0.15/0.43 ~sk_c4=sk_c4|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ27_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f432,f528])).
% 0.15/0.43 fof(f530,plain,(
% 0.15/0.43 $false|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ27_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f529])).
% 0.15/0.43 fof(f531,plain,(
% 0.15/0.43 ~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|sQ27_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f530])).
% 0.15/0.43 fof(f535,plain,(
% 0.15/0.43 sk_c9=multiply(inverse(sk_c6),sk_c7)|~sQ5_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f138,f280])).
% 0.15/0.43 fof(f537,plain,(
% 0.15/0.43 sk_c9=multiply(sk_c9,sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f142,f535])).
% 0.15/0.43 fof(f555,plain,(
% 0.15/0.43 multiply(sk_c7,sk_c8)=identity|~sQ2_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f126,f60])).
% 0.15/0.43 fof(f564,plain,(
% 0.15/0.43 ~inverse(sk_c7)=sk_c9|~sQ2_spl|sQ19_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f126,f252])).
% 0.15/0.43 fof(f568,plain,(
% 0.15/0.43 sk_c9=multiply(inverse(sk_c8),sk_c8)|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f322,f280])).
% 0.15/0.43 fof(f570,plain,(
% 0.15/0.43 sk_c9=identity|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f60,f568])).
% 0.15/0.43 fof(f572,plain,(
% 0.15/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ4_spl|~sQ3_spl)),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f570,f60])).
% 0.15/0.43 fof(f575,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f570,f59])).
% 0.15/0.43 fof(f578,plain,(
% 0.15/0.43 ~sk_c8=sk_c7|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f322,f120])).
% 0.15/0.43 fof(f579,plain,(
% 0.15/0.43 ~sk_c7=sk_c8|~sQ4_spl|~sQ3_spl|sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f575,f165])).
% 0.15/0.43 fof(f581,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c6)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f142,f572])).
% 0.15/0.43 fof(f585,plain,(
% 0.15/0.43 sk_c6=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f575,f581])).
% 0.15/0.43 fof(f592,plain,(
% 0.15/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ6_spl|~sQ4_spl|~sQ3_spl)),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f585,f572])).
% 0.15/0.43 fof(f595,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c6,X0)=X0|~sQ6_spl|~sQ4_spl|~sQ3_spl)),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f585,f575])).
% 0.15/0.43 fof(f596,plain,(
% 0.15/0.43 sk_c6=identity|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f585,f570])).
% 0.15/0.43 fof(f599,plain,(
% 0.15/0.43 ~inverse(sk_c7)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ2_spl|sQ19_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f585,f564])).
% 0.15/0.43 fof(f602,plain,(
% 0.15/0.43 ~inverse(sk_c1)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ6_spl|sQ8_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f585,f156])).
% 0.15/0.43 fof(f603,plain,(
% 0.15/0.43 inverse(sk_c6)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ6_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f585,f142])).
% 0.15/0.43 fof(f613,plain,(
% 0.15/0.43 sk_c6=multiply(sk_c9,sk_c7)|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f585,f537])).
% 0.15/0.43 fof(f614,plain,(
% 0.15/0.43 sk_c6=multiply(sk_c6,sk_c7)|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f585,f613])).
% 0.15/0.43 fof(f615,plain,(
% 0.15/0.43 ~inverse(sk_c6)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ2_spl|sQ19_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f620,f599])).
% 0.15/0.43 fof(f616,plain,(
% 0.15/0.43 ~sk_c8=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f620,f578])).
% 0.15/0.43 fof(f617,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c7))=sk_c6|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ24_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f620,f346])).
% 0.15/0.43 fof(f620,plain,(
% 0.15/0.43 sk_c6=sk_c7|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f595,f614])).
% 0.15/0.43 fof(f621,plain,(
% 0.15/0.43 ~sk_c6=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ2_spl|sQ19_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f603,f615])).
% 0.15/0.43 fof(f622,plain,(
% 0.15/0.43 $false|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ2_spl|sQ19_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f621])).
% 0.15/0.43 fof(f623,plain,(
% 0.15/0.43 ~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ2_spl|sQ19_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f622])).
% 0.15/0.43 fof(f624,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c6))=sk_c6|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ24_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f620,f617])).
% 0.15/0.43 fof(f625,plain,(
% 0.15/0.43 ~inverse(sk_c6)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ24_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f603,f624])).
% 0.15/0.43 fof(f626,plain,(
% 0.15/0.43 ~sk_c6=sk_c6|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ24_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f603,f625])).
% 0.15/0.43 fof(f627,plain,(
% 0.15/0.43 $false|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ24_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f626])).
% 0.15/0.43 fof(f628,plain,(
% 0.15/0.43 ~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ24_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f627])).
% 0.15/0.43 fof(f629,plain,(
% 0.15/0.43 ~sk_c6=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ9_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f620,f579])).
% 0.15/0.43 fof(f636,plain,(
% 0.15/0.43 sk_c8=sk_c6|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f620,f323])).
% 0.15/0.43 fof(f643,plain,(
% 0.15/0.43 $false|sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_subsumption_resolution,[status(thm)],[f636,f629])).
% 0.15/0.43 fof(f644,plain,(
% 0.15/0.43 sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f643])).
% 0.15/0.43 fof(f656,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ16_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f585,f221])).
% 0.15/0.43 fof(f739,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c8|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ16_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f636,f656])).
% 0.15/0.43 fof(f740,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ16_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f636,f739])).
% 0.15/0.43 fof(f741,plain,(
% 0.15/0.43 ~inverse(inverse(sk_c6))=sk_c6|~sQ5_spl|~sQ0_spl|~sQ16_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(resolution,[status(thm)],[f740,f592])).
% 0.15/0.43 fof(f750,plain,(
% 0.15/0.43 ~inverse(sk_c6)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ16_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f603,f741])).
% 0.15/0.43 fof(f751,plain,(
% 0.15/0.43 ~sk_c6=sk_c6|~sQ5_spl|~sQ0_spl|~sQ16_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f603,f750])).
% 0.15/0.43 fof(f752,plain,(
% 0.15/0.43 $false|~sQ5_spl|~sQ0_spl|~sQ16_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f751])).
% 0.15/0.43 fof(f753,plain,(
% 0.15/0.43 ~sQ5_spl|~sQ0_spl|~sQ16_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f752])).
% 0.15/0.43 fof(f754,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c9,X0))|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f636,f240])).
% 0.15/0.43 fof(f755,plain,(
% 0.15/0.43 ![X0]: (X0=multiply(sk_c1,multiply(sk_c9,X0))|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f595,f754])).
% 0.15/0.43 fof(f756,plain,(
% 0.15/0.43 ![X0]: (X0=multiply(sk_c1,multiply(sk_c6,X0))|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f585,f755])).
% 0.15/0.43 fof(f757,plain,(
% 0.15/0.43 ![X0]: (X0=multiply(sk_c1,X0)|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f595,f756])).
% 0.15/0.43 fof(f762,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c6)=sk_c8|~inverse(X0)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ15_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f585,f218])).
% 0.15/0.43 fof(f763,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c9|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ15_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f636,f762])).
% 0.15/0.43 fof(f764,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ15_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f585,f763])).
% 0.15/0.43 fof(f770,plain,(
% 0.15/0.43 ![X0]: (X0=multiply(inverse(sk_c1),X0)|~sQ6_spl|~sQ5_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl)),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f757,f280])).
% 0.15/0.43 fof(f773,plain,(
% 0.15/0.43 sk_c1=sk_c6|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f592,f770])).
% 0.15/0.43 fof(f788,plain,(
% 0.15/0.43 inverse(sk_c6)=sk_c1|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f773,f603])).
% 0.15/0.43 fof(f790,plain,(
% 0.15/0.43 ~inverse(sk_c1)=sk_c1|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|sQ8_spl),
% 0.15/0.43 inference(backward_demodulation,[status(thm)],[f773,f602])).
% 0.15/0.43 fof(f795,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c1|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f773,f788])).
% 0.15/0.43 fof(f799,plain,(
% 0.15/0.43 ~sk_c1=sk_c1|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|sQ8_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f795,f790])).
% 0.15/0.43 fof(f800,plain,(
% 0.15/0.43 $false|~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|sQ8_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f799])).
% 0.15/0.43 fof(f801,plain,(
% 0.15/0.43 ~sQ5_spl|~sQ0_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|sQ8_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f800])).
% 0.15/0.43 fof(f843,definition,(
% 0.15/0.43 sQ30_spl <=> (sk_c4=sk_c4)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f845,plain,(
% 0.15/0.43 ~sk_c4=sk_c4|sQ30_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f843])).
% 0.15/0.43 fof(f862,plain,(
% 0.15/0.43 sQ18_spl|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ15_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f355,f226,f118,f181,f172,f217])).
% 0.15/0.43 fof(f865,plain,(
% 0.15/0.43 $false|sQ30_spl),
% 0.15/0.43 inference(trivial_equality_resolution,[status(thm)],[f845])).
% 0.15/0.43 fof(f866,plain,(
% 0.15/0.43 sQ30_spl),
% 0.15/0.43 inference(contradiction_clause,[status(thm)],[f865])).
% 0.15/0.43 fof(f879,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c6,X0)=X0|~sQ6_spl|~sQ4_spl|~sQ3_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f585,f575])).
% 0.15/0.43 fof(f902,plain,(
% 0.15/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ6_spl|~sQ4_spl|~sQ3_spl)),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f585,f572])).
% 0.15/0.43 fof(f925,plain,(
% 0.15/0.43 multiply(sk_c6,sk_c8)=identity|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f620,f555])).
% 0.15/0.43 fof(f926,plain,(
% 0.15/0.43 sk_c8=identity|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f879,f925])).
% 0.15/0.44 fof(f928,plain,(
% 0.15/0.44 ~inverse(inverse(sk_c6))=sk_c6|~sQ5_spl|~sQ0_spl|~sQ15_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.44 inference(resolution,[status(thm)],[f764,f902])).
% 0.15/0.44 fof(f933,plain,(
% 0.15/0.44 ~inverse(sk_c6)=sk_c6|~sQ5_spl|~sQ0_spl|~sQ15_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f603,f928])).
% 0.15/0.44 fof(f934,plain,(
% 0.15/0.44 ~sk_c6=sk_c6|~sQ5_spl|~sQ0_spl|~sQ15_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f603,f933])).
% 0.15/0.44 fof(f935,plain,(
% 0.15/0.44 $false|~sQ5_spl|~sQ0_spl|~sQ15_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f934])).
% 0.15/0.44 fof(f936,plain,(
% 0.15/0.44 ~sQ5_spl|~sQ0_spl|~sQ15_spl|~sQ6_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f935])).
% 0.15/0.44 fof(f937,plain,(
% 0.15/0.44 sk_c8=sk_c6|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f596,f926])).
% 0.15/0.44 fof(f953,plain,(
% 0.15/0.44 ~sk_c6=sk_c6|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f937,f616])).
% 0.15/0.44 fof(f954,plain,(
% 0.15/0.44 $false|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f953])).
% 0.15/0.44 fof(f955,plain,(
% 0.15/0.44 ~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f954])).
% 0.15/0.44 fof(f956,plain,(
% 0.15/0.44 $false),
% 0.15/0.44 inference(sat_refutation,[status(thm)],[f128,f132,f136,f140,f144,f148,f149,f150,f151,f152,f153,f157,f159,f160,f161,f162,f166,f168,f169,f170,f171,f175,f176,f177,f178,f179,f180,f184,f185,f186,f187,f188,f189,f193,f194,f195,f196,f197,f198,f202,f203,f204,f205,f206,f207,f213,f214,f215,f216,f229,f236,f253,f260,f264,f268,f347,f354,f362,f374,f389,f486,f505,f511,f520,f531,f623,f628,f644,f753,f801,f862,f866,f936,f955])).
% 0.15/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.47 % Elapsed time: 0.079690 seconds
% 0.15/0.47 % CPU time: 0.302713 seconds
% 0.15/0.47 % Total memory used: 105.888 MB
% 0.15/0.47 % Net memory used: 105.777 MB
%------------------------------------------------------------------------------