%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP313-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:25 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP313-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:10:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c8,sk_c9) = sk_c7| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c8,sk_c9) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f18,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f19,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f20,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f21,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f22,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c9| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f23,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f24,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f25,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f26,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f27,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f28,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f29,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f30,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f31,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f32,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f33,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f34,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f35,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f36,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c8| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f37,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f38,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c2) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f39,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f40,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c3,sk_c8) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f43,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f44,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f45,negated_conjecture,(
% 0.13/0.38 ( multiply(sk_c3,sk_c8) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f46,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c3) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f47,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c3) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f50,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c3) = sk_c8| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f51,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c3) = sk_c8| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f52,negated_conjecture,(
% 0.13/0.38 ( inverse(sk_c3) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f53,negated_conjecture,(
% 0.13/0.38 (![X4,X5,X6,X1,X2,X3]: (( multiply(sk_c8,sk_c9) != sk_c7| multiply(X4,sk_c9) != sk_c8| inverse(X4) != sk_c9| multiply(X5,sk_c8) != sk_c7| inverse(X5) != sk_c8| multiply(X6,sk_c8) != sk_c9| inverse(X6) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| multiply(sk_c7,sk_c9) != sk_c8| multiply(X3,sk_c7) != sk_c9| inverse(X3) != sk_c7 ) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f55,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f57,plain,(
% 0.13/0.38 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c4)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f59,plain,(
% 0.13/0.38 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f60,plain,(
% 0.13/0.38 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f62,plain,(
% 0.13/0.38 multiply(sk_c8,sk_c9)=sk_c7|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f63,plain,(
% 0.13/0.38 multiply(sk_c8,sk_c9)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f64,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f65,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c7,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.38 fof(f69,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f70,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.38 fof(f71,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.38 fof(f72,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.38 fof(f73,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.38 fof(f74,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.38 fof(f75,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c9|multiply(sk_c7,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f76,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f77,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.38 fof(f78,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.38 fof(f79,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c4)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.38 fof(f80,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.38 fof(f81,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.38 fof(f82,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c7,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.38 fof(f83,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.38 fof(f84,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.38 fof(f85,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.38 fof(f87,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.38 fof(f88,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.38 fof(f89,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c8|multiply(sk_c7,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.38 fof(f91,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.38 fof(f92,plain,(
% 0.13/0.38 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.38 fof(f93,plain,(
% 0.13/0.38 multiply(sk_c3,sk_c8)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.38 fof(f96,plain,(
% 0.13/0.38 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c7,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.38 fof(f97,plain,(
% 0.13/0.38 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/0.38 fof(f98,plain,(
% 0.13/0.38 multiply(sk_c3,sk_c8)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.38 fof(f99,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.38 fof(f103,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c8|multiply(sk_c7,sk_c9)=sk_c8),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.38 fof(f104,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c8|multiply(sk_c6,sk_c7)=sk_c9),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.38 fof(f105,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 ![X3]: ((((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: ((~multiply(sk_c8,sk_c9)=sk_c7|~multiply(X4,sk_c9)=sk_c8)|~inverse(X4)=sk_c9))|~multiply(X5,sk_c8)=sk_c7)|~inverse(X5)=sk_c8))|~multiply(X6,sk_c8)=sk_c9)|~inverse(X6)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~multiply(sk_c7,sk_c9)=sk_c8)|~multiply(X3,sk_c7)=sk_c9)|~inverse(X3)=sk_c7)),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f53])).
% 0.13/0.38 fof(f107,plain,(
% 0.13/0.38 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c8,sk_c9)=sk_c7|~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~multiply(X2,sk_c8)=sk_c9|~inverse(X2)=sk_c8|~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9|~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8|~multiply(sk_c7,sk_c9)=sk_c8|~multiply(X5,sk_c7)=sk_c9|~inverse(X5)=sk_c7)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f106])).
% 0.13/0.38 fof(f108,definition,(
% 0.13/0.38 sQ0_spl <=> (multiply(sk_c8,sk_c9)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f109,plain,(
% 0.13/0.38 multiply(sk_c8,sk_c9)=sk_c7|~sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f108])).
% 0.13/0.38 fof(f110,plain,(
% 0.13/0.38 ~multiply(sk_c8,sk_c9)=sk_c7|sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f108])).
% 0.13/0.38 fof(f111,definition,(
% 0.13/0.38 sQ1_spl <=> (multiply(sk_c4,sk_c9)=sk_c8)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 multiply(sk_c4,sk_c9)=sk_c8|~sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f111])).
% 0.13/0.38 fof(f114,plain,(
% 0.13/0.38 sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f57,f108,f111])).
% 0.13/0.38 fof(f115,definition,(
% 0.13/0.38 sQ2_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f116,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c9|~sQ2_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.38 fof(f118,plain,(
% 0.13/0.38 sQ0_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f58,f108,f115])).
% 0.13/0.38 fof(f119,definition,(
% 0.13/0.38 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f120,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c8)=sk_c7|~sQ3_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f119])).
% 0.13/0.38 fof(f122,plain,(
% 0.13/0.38 sQ0_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f59,f108,f119])).
% 0.13/0.38 fof(f123,definition,(
% 0.13/0.38 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f124,plain,(
% 0.13/0.38 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f123])).
% 0.13/0.38 fof(f126,plain,(
% 0.13/0.38 sQ0_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f60,f108,f123])).
% 0.13/0.38 fof(f127,definition,(
% 0.13/0.38 sQ5_spl <=> (multiply(sk_c7,sk_c9)=sk_c8)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f128,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c9)=sk_c8|~sQ5_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f127])).
% 0.13/0.38 fof(f129,plain,(
% 0.13/0.38 ~multiply(sk_c7,sk_c9)=sk_c8|sQ5_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f127])).
% 0.13/0.38 fof(f131,definition,(
% 0.13/0.38 sQ6_spl <=> (multiply(sk_c6,sk_c7)=sk_c9)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f132,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c7)=sk_c9|~sQ6_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f131])).
% 0.13/0.38 fof(f134,plain,(
% 0.13/0.38 sQ0_spl|sQ6_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f62,f108,f131])).
% 0.13/0.38 fof(f135,definition,(
% 0.13/0.38 sQ7_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f136,plain,(
% 0.13/0.38 inverse(sk_c6)=sk_c7|~sQ7_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f135])).
% 0.13/0.38 fof(f138,plain,(
% 0.13/0.38 sQ0_spl|sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f63,f108,f135])).
% 0.13/0.38 fof(f139,definition,(
% 0.13/0.38 sQ8_spl <=> (multiply(sk_c1,sk_c9)=sk_c8)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f140,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c9)=sk_c8|~sQ8_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.38 fof(f142,plain,(
% 0.13/0.38 sQ8_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f64,f139,f111])).
% 0.13/0.38 fof(f143,plain,(
% 0.13/0.38 sQ8_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f65,f139,f115])).
% 0.13/0.38 fof(f144,plain,(
% 0.13/0.38 sQ8_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f66,f139,f119])).
% 0.13/0.38 fof(f145,plain,(
% 0.13/0.38 sQ8_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f67,f139,f123])).
% 0.13/0.38 fof(f146,plain,(
% 0.13/0.38 sQ8_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f68,f139,f127])).
% 0.13/0.38 fof(f147,plain,(
% 0.13/0.38 sQ8_spl|sQ6_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f69,f139,f131])).
% 0.13/0.38 fof(f148,plain,(
% 0.13/0.38 sQ8_spl|sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f70,f139,f135])).
% 0.13/0.38 fof(f149,definition,(
% 0.13/0.38 sQ9_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f150,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c9|~sQ9_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f149])).
% 0.13/0.38 fof(f152,plain,(
% 0.13/0.38 sQ9_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f71,f149,f111])).
% 0.13/0.38 fof(f153,plain,(
% 0.13/0.38 sQ9_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f72,f149,f115])).
% 0.13/0.38 fof(f154,plain,(
% 0.13/0.38 sQ9_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f73,f149,f119])).
% 0.13/0.38 fof(f155,plain,(
% 0.13/0.38 sQ9_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f74,f149,f123])).
% 0.13/0.38 fof(f156,plain,(
% 0.13/0.38 sQ9_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f75,f149,f127])).
% 0.13/0.38 fof(f157,plain,(
% 0.13/0.38 sQ9_spl|sQ6_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f76,f149,f131])).
% 0.13/0.38 fof(f158,plain,(
% 0.13/0.38 sQ9_spl|sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f77,f149,f135])).
% 0.13/0.38 fof(f159,definition,(
% 0.13/0.38 sQ10_spl <=> (multiply(sk_c2,sk_c8)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f160,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c8)=sk_c7|~sQ10_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f159])).
% 0.13/0.38 fof(f162,plain,(
% 0.13/0.38 sQ10_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f78,f159,f111])).
% 0.13/0.38 fof(f163,plain,(
% 0.13/0.38 sQ10_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f79,f159,f115])).
% 0.13/0.38 fof(f164,plain,(
% 0.13/0.38 sQ10_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f80,f159,f119])).
% 0.13/0.38 fof(f165,plain,(
% 0.13/0.38 sQ10_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f81,f159,f123])).
% 0.13/0.38 fof(f166,plain,(
% 0.13/0.38 sQ10_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f82,f159,f127])).
% 0.13/0.38 fof(f167,plain,(
% 0.13/0.38 sQ10_spl|sQ6_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f83,f159,f131])).
% 0.13/0.38 fof(f168,plain,(
% 0.13/0.38 sQ10_spl|sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f84,f159,f135])).
% 0.13/0.38 fof(f169,definition,(
% 0.13/0.38 sQ11_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f172,plain,(
% 0.13/0.38 sQ11_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f85,f169,f111])).
% 0.13/0.38 fof(f173,plain,(
% 0.13/0.38 sQ11_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f86,f169,f115])).
% 0.13/0.38 fof(f174,plain,(
% 0.13/0.38 sQ11_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f87,f169,f119])).
% 0.13/0.38 fof(f175,plain,(
% 0.13/0.38 sQ11_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f88,f169,f123])).
% 0.13/0.38 fof(f176,plain,(
% 0.13/0.38 sQ11_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f89,f169,f127])).
% 0.13/0.38 fof(f177,plain,(
% 0.13/0.38 sQ11_spl|sQ6_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f90,f169,f131])).
% 0.13/0.38 fof(f178,plain,(
% 0.13/0.38 sQ11_spl|sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f91,f169,f135])).
% 0.13/0.38 fof(f179,definition,(
% 0.13/0.38 sQ12_spl <=> (multiply(sk_c3,sk_c8)=sk_c9)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f180,plain,(
% 0.13/0.38 multiply(sk_c3,sk_c8)=sk_c9|~sQ12_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f179])).
% 0.13/0.38 fof(f182,plain,(
% 0.13/0.38 sQ12_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f92,f179,f111])).
% 0.13/0.38 fof(f183,plain,(
% 0.13/0.38 sQ12_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f93,f179,f115])).
% 0.13/0.38 fof(f186,plain,(
% 0.13/0.38 sQ12_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f96,f179,f127])).
% 0.13/0.38 fof(f187,plain,(
% 0.13/0.38 sQ12_spl|sQ6_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f97,f179,f131])).
% 0.13/0.38 fof(f188,plain,(
% 0.13/0.38 sQ12_spl|sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f98,f179,f135])).
% 0.13/0.38 fof(f189,definition,(
% 0.13/0.38 sQ13_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f190,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c8|~sQ13_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f189])).
% 0.13/0.38 fof(f192,plain,(
% 0.13/0.38 sQ13_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f99,f189,f111])).
% 0.13/0.38 fof(f193,plain,(
% 0.13/0.38 sQ13_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f100,f189,f115])).
% 0.13/0.38 fof(f196,plain,(
% 0.13/0.38 sQ13_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f103,f189,f127])).
% 0.13/0.38 fof(f197,plain,(
% 0.13/0.38 sQ13_spl|sQ6_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f104,f189,f131])).
% 0.13/0.38 fof(f198,plain,(
% 0.13/0.38 sQ13_spl|sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f105,f189,f135])).
% 0.13/0.38 fof(f199,definition,(
% 0.13/0.38 ![X0]: (sQ14_spl <=> (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f200,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f199])).
% 0.13/0.38 fof(f202,definition,(
% 0.13/0.38 ![X1]: (sQ15_spl <=> (~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f203,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ15_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f202])).
% 0.13/0.38 fof(f205,definition,(
% 0.13/0.38 ![X2]: (sQ16_spl <=> (~multiply(X2,sk_c8)=sk_c9|~inverse(X2)=sk_c8))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f206,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ16_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f205])).
% 0.13/0.38 fof(f208,definition,(
% 0.13/0.38 ![X5]: (sQ17_spl <=> (~multiply(X5,sk_c7)=sk_c9|~inverse(X5)=sk_c7))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f209,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c7)=sk_c9|~inverse(X0)=sk_c7|~sQ17_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f208])).
% 0.13/0.38 fof(f211,plain,(
% 0.13/0.38 ~sQ0_spl|sQ14_spl|sQ15_spl|sQ16_spl|~sQ5_spl|sQ17_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f107,f108,f199,f202,f205,f127,f208])).
% 0.13/0.38 fof(f212,plain,(
% 0.13/0.38 ~inverse(sk_c6)=sk_c7|~sQ17_spl|~sQ6_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f209,f132])).
% 0.13/0.38 fof(f214,plain,(
% 0.13/0.38 ~sk_c7=sk_c7|~sQ7_spl|~sQ17_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f136,f212])).
% 0.13/0.38 fof(f215,plain,(
% 0.13/0.38 $false|~sQ7_spl|~sQ17_spl|~sQ6_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f214])).
% 0.13/0.38 fof(f216,plain,(
% 0.13/0.38 ~sQ7_spl|~sQ17_spl|~sQ6_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f215])).
% 0.13/0.38 fof(f217,plain,(
% 0.13/0.38 ~inverse(sk_c3)=sk_c8|~sQ16_spl|~sQ12_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f206,f180])).
% 0.13/0.38 fof(f218,plain,(
% 0.13/0.38 ~sk_c7=sk_c9|~inverse(sk_c5)=sk_c8|~sQ16_spl|~sQ3_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f120,f206])).
% 0.13/0.38 fof(f219,plain,(
% 0.13/0.38 ~sk_c7=sk_c9|~inverse(sk_c2)=sk_c8|~sQ16_spl|~sQ10_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f160,f206])).
% 0.13/0.38 fof(f221,plain,(
% 0.13/0.38 ~sk_c8=sk_c8|~sQ13_spl|~sQ16_spl|~sQ12_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f190,f217])).
% 0.13/0.38 fof(f222,plain,(
% 0.13/0.38 $false|~sQ13_spl|~sQ16_spl|~sQ12_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f221])).
% 0.13/0.38 fof(f223,plain,(
% 0.13/0.38 ~sQ13_spl|~sQ16_spl|~sQ12_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f222])).
% 0.13/0.38 fof(f232,plain,(
% 0.13/0.38 ~inverse(sk_c5)=sk_c8|~sQ15_spl|~sQ3_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f203,f120])).
% 0.13/0.38 fof(f236,plain,(
% 0.13/0.38 ~sk_c7=sk_c7|~inverse(sk_c2)=sk_c8|~sQ15_spl|~sQ10_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f160,f203])).
% 0.13/0.38 fof(f237,plain,(
% 0.13/0.38 ~sk_c8=sk_c8|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f124,f232])).
% 0.13/0.38 fof(f238,plain,(
% 0.13/0.38 $false|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f237])).
% 0.13/0.38 fof(f239,plain,(
% 0.13/0.38 ~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f238])).
% 0.13/0.38 fof(f241,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c6)=identity|~sQ7_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f136,f55])).
% 0.13/0.38 fof(f246,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f55,f56])).
% 0.13/0.38 fof(f247,plain,(
% 0.13/0.38 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f54,f246])).
% 0.13/0.38 fof(f273,plain,(
% 0.13/0.38 sk_c9=multiply(inverse(sk_c7),sk_c8)|~sQ5_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f128,f247])).
% 0.13/0.38 fof(f278,plain,(
% 0.13/0.38 sk_c9=multiply(inverse(sk_c4),sk_c8)|~sQ1_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f112,f247])).
% 0.13/0.38 fof(f280,plain,(
% 0.13/0.38 sk_c7=multiply(inverse(sk_c6),sk_c9)|~sQ6_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f132,f247])).
% 0.13/0.38 fof(f281,plain,(
% 0.13/0.38 sk_c9=multiply(inverse(sk_c1),sk_c8)|~sQ8_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f140,f247])).
% 0.13/0.38 fof(f284,plain,(
% 0.13/0.38 sk_c9=multiply(sk_c9,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f116,f278])).
% 0.13/0.38 fof(f286,plain,(
% 0.13/0.38 sk_c7=multiply(sk_c7,sk_c9)|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f136,f280])).
% 0.13/0.38 fof(f287,plain,(
% 0.13/0.38 sk_c9=multiply(sk_c9,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f150,f281])).
% 0.13/0.38 fof(f296,plain,(
% 0.13/0.38 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ2_spl|~sQ1_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f284,f247])).
% 0.13/0.38 fof(f298,plain,(
% 0.13/0.38 sk_c8=identity|~sQ2_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f55,f296])).
% 0.13/0.38 fof(f300,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c9|~sQ14_spl|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f200,f112])).
% 0.13/0.38 fof(f301,plain,(
% 0.13/0.38 ~inverse(sk_c1)=sk_c9|~sQ14_spl|~sQ8_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f200,f140])).
% 0.13/0.38 fof(f310,plain,(
% 0.13/0.38 ~sk_c9=sk_c9|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f116,f300])).
% 0.13/0.38 fof(f311,plain,(
% 0.13/0.38 $false|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f310])).
% 0.13/0.38 fof(f312,plain,(
% 0.13/0.38 ~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f311])).
% 0.13/0.38 fof(f313,definition,(
% 0.13/0.38 sQ18_spl <=> (sk_c7=sk_c9)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f315,plain,(
% 0.13/0.38 ~sk_c7=sk_c9|sQ18_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f313])).
% 0.13/0.38 fof(f316,plain,(
% 0.13/0.38 ~sQ18_spl|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f218,f313,f123,f205,f119])).
% 0.13/0.38 fof(f317,plain,(
% 0.13/0.38 ~sQ18_spl|~sQ11_spl|~sQ16_spl|~sQ10_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f219,f313,f169,f205,f159])).
% 0.13/0.38 fof(f318,definition,(
% 0.13/0.38 sQ19_spl <=> (sk_c9=sk_c9)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f320,plain,(
% 0.13/0.38 ~sk_c9=sk_c9|sQ19_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f318])).
% 0.13/0.38 fof(f322,plain,(
% 0.13/0.38 $false|sQ19_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f320])).
% 0.13/0.38 fof(f323,plain,(
% 0.13/0.38 sQ19_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f322])).
% 0.13/0.38 fof(f324,plain,(
% 0.13/0.38 ~sk_c9=sk_c9|~sQ9_spl|~sQ14_spl|~sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f150,f301])).
% 0.13/0.38 fof(f325,plain,(
% 0.13/0.38 $false|~sQ9_spl|~sQ14_spl|~sQ8_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f324])).
% 0.13/0.38 fof(f326,plain,(
% 0.13/0.38 ~sQ9_spl|~sQ14_spl|~sQ8_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f325])).
% 0.13/0.38 fof(f330,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ2_spl|~sQ1_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f298,f55])).
% 0.13/0.38 fof(f331,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c8,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f298,f54])).
% 0.13/0.38 fof(f337,plain,(
% 0.13/0.38 sk_c9=sk_c7|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f331,f109])).
% 0.13/0.38 fof(f341,plain,(
% 0.13/0.38 $false|sQ18_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f337,f315])).
% 0.13/0.38 fof(f342,plain,(
% 0.13/0.38 sQ18_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f341])).
% 0.13/0.38 fof(f343,definition,(
% 0.13/0.38 sQ20_spl <=> (sk_c7=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f345,plain,(
% 0.13/0.38 ~sk_c7=sk_c7|sQ20_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f343])).
% 0.13/0.38 fof(f346,plain,(
% 0.13/0.38 ~sQ20_spl|~sQ11_spl|~sQ15_spl|~sQ10_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f236,f343,f169,f202,f159])).
% 0.13/0.38 fof(f347,plain,(
% 0.13/0.38 $false|sQ20_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f345])).
% 0.13/0.38 fof(f348,plain,(
% 0.13/0.38 sQ20_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f347])).
% 0.13/0.38 fof(f361,plain,(
% 0.13/0.38 sk_c8=multiply(inverse(sk_c3),sk_c9)|~sQ12_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f180,f247])).
% 0.13/0.38 fof(f363,plain,(
% 0.13/0.38 sk_c8=multiply(sk_c8,sk_c9)|~sQ13_spl|~sQ12_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f190,f361])).
% 0.13/0.38 fof(f383,plain,(
% 0.13/0.38 ~multiply(sk_c7,sk_c9)=sk_c7|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ5_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f394,f129])).
% 0.13/0.38 fof(f385,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c9)=sk_c7|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f394,f109])).
% 0.13/0.38 fof(f389,plain,(
% 0.13/0.38 sk_c9=multiply(sk_c9,sk_c7)|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f394,f287])).
% 0.13/0.38 fof(f390,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c7|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f394,f190])).
% 0.13/0.38 fof(f394,plain,(
% 0.13/0.38 sk_c8=sk_c7|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f109,f363])).
% 0.13/0.38 fof(f396,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c3)=identity|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f390,f55])).
% 0.13/0.38 fof(f407,plain,(
% 0.13/0.38 $false|sQ5_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f385,f383])).
% 0.13/0.38 fof(f408,plain,(
% 0.13/0.38 sQ5_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f407])).
% 0.13/0.39 fof(f411,plain,(
% 0.13/0.39 sk_c9=multiply(inverse(sk_c7),sk_c7)|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f394,f273])).
% 0.13/0.39 fof(f412,plain,(
% 0.13/0.39 sk_c9=identity|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f55,f411])).
% 0.13/0.39 fof(f415,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f412,f55])).
% 0.13/0.39 fof(f417,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c9,X0)=X0|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f412,f54])).
% 0.13/0.39 fof(f431,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c7,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f437,f417])).
% 0.13/0.39 fof(f434,plain,(
% 0.13/0.39 sk_c7=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f437,f412])).
% 0.13/0.39 fof(f437,plain,(
% 0.13/0.39 sk_c9=sk_c7|~sQ5_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f417,f389])).
% 0.13/0.39 fof(f452,plain,(
% 0.13/0.39 sk_c7=sk_c3|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f453,f434])).
% 0.13/0.39 fof(f453,plain,(
% 0.13/0.39 sk_c3=identity|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f431,f396])).
% 0.13/0.39 fof(f457,plain,(
% 0.13/0.39 sk_c9=sk_c3|~sQ5_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f452,f437])).
% 0.13/0.39 fof(f460,plain,(
% 0.13/0.39 inverse(sk_c3)=sk_c3|~sQ9_spl|~sQ8_spl|~sQ5_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f452,f390])).
% 0.13/0.39 fof(f494,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f457,f415])).
% 0.13/0.39 fof(f514,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,sk_c3)=sk_c9|~inverse(X0)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl|~sQ17_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f452,f209])).
% 0.13/0.39 fof(f515,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl|~sQ17_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f457,f514])).
% 0.13/0.39 fof(f516,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c3|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl|~sQ17_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f452,f515])).
% 0.13/0.39 fof(f517,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c3))=sk_c3|~sQ17_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f516,f494])).
% 0.13/0.39 fof(f522,plain,(
% 0.13/0.39 ~inverse(sk_c3)=sk_c3|~sQ17_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f460,f517])).
% 0.13/0.39 fof(f523,plain,(
% 0.13/0.39 ~sk_c3=sk_c3|~sQ17_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f460,f522])).
% 0.13/0.39 fof(f524,plain,(
% 0.13/0.39 $false|~sQ17_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f523])).
% 0.13/0.39 fof(f525,plain,(
% 0.13/0.39 ~sQ17_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ5_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f524])).
% 0.13/0.39 fof(f532,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c8,multiply(sk_c5,X0))|~sQ4_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f124,f247])).
% 0.13/0.39 fof(f533,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c5,X0)|~sQ2_spl|~sQ1_spl|~sQ4_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f331,f532])).
% 0.13/0.39 fof(f537,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c5)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f124,f330])).
% 0.13/0.39 fof(f542,plain,(
% 0.13/0.39 sk_c5=sk_c8|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f331,f537])).
% 0.13/0.39 fof(f547,plain,(
% 0.13/0.39 sk_c5=identity|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f542,f298])).
% 0.13/0.39 fof(f552,plain,(
% 0.13/0.39 multiply(sk_c7,sk_c6)=sk_c5|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f547,f241])).
% 0.13/0.39 fof(f568,plain,(
% 0.13/0.39 sk_c8=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f533,f120])).
% 0.13/0.39 fof(f569,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c6)=sk_c5|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f573,f552])).
% 0.13/0.39 fof(f570,plain,(
% 0.13/0.39 sk_c7=multiply(sk_c5,sk_c9)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f573,f286])).
% 0.13/0.39 fof(f573,plain,(
% 0.13/0.39 sk_c5=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f542,f568])).
% 0.13/0.39 fof(f574,plain,(
% 0.13/0.39 sk_c6=sk_c5|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f533,f569])).
% 0.13/0.39 fof(f575,plain,(
% 0.13/0.39 sk_c5=multiply(sk_c5,sk_c9)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f573,f570])).
% 0.13/0.39 fof(f576,plain,(
% 0.13/0.39 sk_c5=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f533,f575])).
% 0.13/0.39 fof(f586,plain,(
% 0.13/0.39 sk_c6=sk_c7|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f574,f573])).
% 0.13/0.39 fof(f588,plain,(
% 0.13/0.39 sk_c6=identity|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f574,f547])).
% 0.13/0.39 fof(f589,plain,(
% 0.13/0.39 sk_c6=sk_c8|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f574,f542])).
% 0.13/0.39 fof(f592,plain,(
% 0.13/0.39 sk_c6=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f574,f576])).
% 0.13/0.39 fof(f594,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c6,X0)=X0|~sQ3_spl|~sQ7_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f588,f54])).
% 0.13/0.39 fof(f616,plain,(
% 0.13/0.39 ~multiply(sk_c6,sk_c9)=sk_c7|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f589,f110])).
% 0.13/0.39 fof(f617,plain,(
% 0.13/0.39 ~sk_c9=sk_c7|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f594,f616])).
% 0.13/0.39 fof(f618,plain,(
% 0.13/0.39 ~sk_c6=sk_c7|~sQ6_spl|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f592,f617])).
% 0.13/0.39 fof(f619,plain,(
% 0.13/0.39 ~sk_c6=sk_c6|~sQ6_spl|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f586,f618])).
% 0.13/0.39 fof(f620,plain,(
% 0.13/0.39 $false|~sQ6_spl|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f619])).
% 0.13/0.39 fof(f621,plain,(
% 0.13/0.39 ~sQ6_spl|~sQ3_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f620])).
% 0.13/0.39 fof(f622,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f114,f118,f122,f126,f134,f138,f142,f143,f144,f145,f146,f147,f148,f152,f153,f154,f155,f156,f157,f158,f162,f163,f164,f165,f166,f167,f168,f172,f173,f174,f175,f176,f177,f178,f182,f183,f186,f187,f188,f192,f193,f196,f197,f198,f211,f216,f223,f239,f312,f316,f317,f323,f326,f342,f346,f348,f408,f525,f621])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.042935 seconds
% 0.13/0.41 % CPU time: 0.109569 seconds
% 0.13/0.41 % Total memory used: 26.816 MB
% 0.13/0.41 % Net memory used: 26.792 MB
%------------------------------------------------------------------------------