%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP250-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:19 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP250-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.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 20:08:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f2,axiom,(
% 0.10/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f5,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f6,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f7,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f8,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f9,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f10,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f11,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f12,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f13,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f14,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f15,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f16,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f17,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f18,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f19,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f20,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f21,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f22,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f23,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f24,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f25,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f26,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f27,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f28,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c3) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f29,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c3) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f30,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f31,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f32,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c3) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f33,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c3) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f34,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f35,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f36,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f37,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f38,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f39,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f40,negated_conjecture,(
% 0.10/0.41 (![X4,X5,X6,X1,X2,X3]: (( multiply(X4,sk_c9) != sk_c8| inverse(X4) != sk_c9| multiply(X5,sk_c8) != sk_c7| inverse(X5) != sk_c8| inverse(X6) != sk_c8| multiply(X6,sk_c7) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| inverse(X3) != sk_c7| multiply(X3,sk_c8) != sk_c7 ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f41,plain,(
% 0.10/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.41 fof(f42,plain,(
% 0.10/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f43,plain,(
% 0.10/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f44,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f45,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.41 fof(f46,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.41 fof(f47,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.41 fof(f48,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.41 fof(f49,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.41 fof(f50,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.41 fof(f51,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.41 fof(f52,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f53,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.41 fof(f54,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.41 fof(f55,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.41 fof(f56,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.41 fof(f57,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c4)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.41 fof(f58,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.41 fof(f59,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.41 fof(f60,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.41 fof(f61,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c6,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.41 fof(f62,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.41 fof(f63,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.41 fof(f64,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.41 fof(f65,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.41 fof(f66,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.41 fof(f67,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.41 fof(f68,plain,(
% 0.10/0.41 inverse(sk_c3)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.41 fof(f69,plain,(
% 0.10/0.41 inverse(sk_c3)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.41 fof(f70,plain,(
% 0.10/0.41 inverse(sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.41 fof(f71,plain,(
% 0.10/0.41 inverse(sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.41 fof(f72,plain,(
% 0.10/0.41 inverse(sk_c3)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.41 fof(f73,plain,(
% 0.10/0.41 inverse(sk_c3)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.41 fof(f74,plain,(
% 0.10/0.41 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.41 fof(f75,plain,(
% 0.10/0.41 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.10/0.41 fof(f76,plain,(
% 0.10/0.41 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.10/0.41 fof(f77,plain,(
% 0.10/0.41 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.10/0.41 fof(f78,plain,(
% 0.10/0.41 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.10/0.41 fof(f79,plain,(
% 0.10/0.41 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.41 fof(f80,plain,(
% 0.10/0.41 ![X3]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c9)=sk_c8|~inverse(X4)=sk_c9))|~multiply(X5,sk_c8)=sk_c7)|~inverse(X5)=sk_c8))|~inverse(X6)=sk_c8)|~multiply(X6,sk_c7)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~inverse(X3)=sk_c7)|~multiply(X3,sk_c8)=sk_c7)),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f40])).
% 0.10/0.41 fof(f81,plain,(
% 0.10/0.41 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9|~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8|~inverse(X5)=sk_c7|~multiply(X5,sk_c8)=sk_c7)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.41 fof(f82,definition,(
% 0.10/0.41 sQ0_spl <=> (multiply(sk_c1,sk_c9)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f83,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c9)=sk_c8|~sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f82])).
% 0.10/0.41 fof(f85,definition,(
% 0.10/0.41 sQ1_spl <=> (multiply(sk_c4,sk_c9)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f86,plain,(
% 0.10/0.41 multiply(sk_c4,sk_c9)=sk_c8|~sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.41 fof(f88,plain,(
% 0.10/0.41 sQ0_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.10/0.41 fof(f89,definition,(
% 0.10/0.41 sQ2_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f90,plain,(
% 0.10/0.41 inverse(sk_c4)=sk_c9|~sQ2_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.10/0.41 fof(f92,plain,(
% 0.10/0.41 sQ0_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.10/0.41 fof(f93,definition,(
% 0.10/0.41 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f94,plain,(
% 0.10/0.41 multiply(sk_c5,sk_c8)=sk_c7|~sQ3_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.10/0.41 fof(f96,plain,(
% 0.10/0.41 sQ0_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.10/0.41 fof(f97,definition,(
% 0.10/0.41 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f98,plain,(
% 0.10/0.41 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.41 fof(f100,plain,(
% 0.10/0.41 sQ0_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.10/0.41 fof(f101,definition,(
% 0.10/0.41 sQ5_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f102,plain,(
% 0.10/0.41 inverse(sk_c6)=sk_c7|~sQ5_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f101])).
% 0.10/0.41 fof(f104,plain,(
% 0.10/0.41 sQ0_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.10/0.41 fof(f105,definition,(
% 0.10/0.41 sQ6_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f106,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c8)=sk_c7|~sQ6_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f105])).
% 0.10/0.41 fof(f108,plain,(
% 0.10/0.41 sQ0_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.10/0.41 fof(f109,definition,(
% 0.10/0.41 sQ7_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f110,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c9|~sQ7_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.10/0.41 fof(f112,plain,(
% 0.10/0.41 sQ7_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.10/0.41 fof(f113,plain,(
% 0.10/0.41 sQ7_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.10/0.41 fof(f114,plain,(
% 0.10/0.41 sQ7_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.10/0.41 fof(f115,plain,(
% 0.10/0.41 sQ7_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.10/0.41 fof(f116,plain,(
% 0.10/0.41 sQ7_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.10/0.41 fof(f117,plain,(
% 0.10/0.41 sQ7_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.10/0.41 fof(f118,definition,(
% 0.10/0.41 sQ8_spl <=> (multiply(sk_c2,sk_c8)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f119,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c7|~sQ8_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.10/0.41 fof(f121,plain,(
% 0.10/0.41 sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.10/0.41 fof(f122,plain,(
% 0.10/0.41 sQ8_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.10/0.41 fof(f123,plain,(
% 0.10/0.41 sQ8_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.10/0.41 fof(f124,plain,(
% 0.10/0.41 sQ8_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.10/0.41 fof(f125,plain,(
% 0.10/0.41 sQ8_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.10/0.41 fof(f126,plain,(
% 0.10/0.41 sQ8_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.10/0.41 fof(f127,definition,(
% 0.10/0.41 sQ9_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f128,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|~sQ9_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f127])).
% 0.10/0.41 fof(f130,plain,(
% 0.10/0.41 sQ9_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.10/0.41 fof(f131,plain,(
% 0.10/0.41 sQ9_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.10/0.41 fof(f132,plain,(
% 0.10/0.41 sQ9_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.10/0.41 fof(f133,plain,(
% 0.10/0.41 sQ9_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.10/0.41 fof(f134,plain,(
% 0.10/0.41 sQ9_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.10/0.41 fof(f135,plain,(
% 0.10/0.41 sQ9_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.10/0.41 fof(f136,definition,(
% 0.10/0.41 sQ10_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f137,plain,(
% 0.10/0.41 inverse(sk_c3)=sk_c8|~sQ10_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.10/0.41 fof(f139,plain,(
% 0.10/0.41 sQ10_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.10/0.41 fof(f140,plain,(
% 0.10/0.41 sQ10_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.10/0.41 fof(f141,plain,(
% 0.10/0.41 sQ10_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.10/0.41 fof(f142,plain,(
% 0.10/0.41 sQ10_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.10/0.41 fof(f143,plain,(
% 0.10/0.41 sQ10_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.10/0.41 fof(f144,plain,(
% 0.10/0.41 sQ10_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.10/0.41 fof(f145,definition,(
% 0.10/0.41 sQ11_spl <=> (multiply(sk_c3,sk_c7)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f146,plain,(
% 0.10/0.41 multiply(sk_c3,sk_c7)=sk_c8|~sQ11_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f145])).
% 0.10/0.41 fof(f148,plain,(
% 0.10/0.41 sQ11_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.10/0.41 fof(f149,plain,(
% 0.10/0.41 sQ11_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.10/0.41 fof(f150,plain,(
% 0.10/0.41 sQ11_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.10/0.41 fof(f151,plain,(
% 0.10/0.41 sQ11_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.10/0.41 fof(f152,plain,(
% 0.10/0.41 sQ11_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.10/0.41 fof(f153,plain,(
% 0.10/0.41 sQ11_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.10/0.41 fof(f154,definition,(
% 0.10/0.41 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f155,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ12_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f154])).
% 0.10/0.41 fof(f157,definition,(
% 0.10/0.41 ![X1]: (sQ13_spl <=> (~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f158,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f157])).
% 0.10/0.41 fof(f160,definition,(
% 0.10/0.41 ![X2]: (sQ14_spl <=> (~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f161,plain,(
% 0.10/0.41 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ14_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f160])).
% 0.10/0.41 fof(f163,definition,(
% 0.10/0.41 ![X5]: (sQ15_spl <=> (~inverse(X5)=sk_c7|~multiply(X5,sk_c8)=sk_c7))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f164,plain,(
% 0.10/0.41 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c8)=sk_c7|~sQ15_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f163])).
% 0.10/0.41 fof(f166,plain,(
% 0.10/0.41 sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f81,f154,f157,f160,f163])).
% 0.10/0.41 fof(f168,plain,(
% 0.10/0.41 ~inverse(sk_c6)=sk_c7|~sQ15_spl|~sQ6_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f164,f106])).
% 0.10/0.41 fof(f169,plain,(
% 0.10/0.41 ~inverse(sk_c2)=sk_c7|~sQ15_spl|~sQ8_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f164,f119])).
% 0.10/0.41 fof(f172,plain,(
% 0.10/0.41 ~inverse(sk_c2)=sk_c7|~sk_c7=sk_c7|~sQ15_spl|~sQ8_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f119,f164])).
% 0.10/0.41 fof(f174,plain,(
% 0.10/0.41 ~sk_c7=sk_c7|~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f102,f168])).
% 0.10/0.41 fof(f175,plain,(
% 0.10/0.41 $false|~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f174])).
% 0.10/0.41 fof(f176,plain,(
% 0.10/0.41 ~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f175])).
% 0.10/0.41 fof(f177,plain,(
% 0.10/0.41 ~inverse(sk_c3)=sk_c8|~sQ14_spl|~sQ11_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f161,f146])).
% 0.10/0.41 fof(f179,plain,(
% 0.10/0.41 ~sk_c8=sk_c8|~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f137,f177])).
% 0.10/0.41 fof(f180,plain,(
% 0.10/0.41 $false|~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f179])).
% 0.10/0.41 fof(f181,plain,(
% 0.10/0.41 ~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f180])).
% 0.10/0.41 fof(f186,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c9,X0))|~sQ0_spl)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f83,f43])).
% 0.10/0.41 fof(f191,plain,(
% 0.10/0.41 ~inverse(sk_c5)=sk_c8|~sQ13_spl|~sQ3_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f158,f94])).
% 0.10/0.41 fof(f197,plain,(
% 0.10/0.41 ~sk_c7=sk_c7|~inverse(sk_c2)=sk_c8|~sQ13_spl|~sQ8_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f119,f158])).
% 0.10/0.41 fof(f198,plain,(
% 0.10/0.41 ~sk_c8=sk_c8|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f98,f191])).
% 0.10/0.41 fof(f199,plain,(
% 0.10/0.41 $false|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f198])).
% 0.10/0.41 fof(f200,plain,(
% 0.10/0.41 ~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f199])).
% 0.10/0.41 fof(f203,plain,(
% 0.10/0.41 multiply(sk_c7,sk_c6)=identity|~sQ5_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f102,f42])).
% 0.10/0.41 fof(f208,plain,(
% 0.10/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.10/0.41 fof(f209,plain,(
% 0.10/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f41,f208])).
% 0.10/0.41 fof(f238,plain,(
% 0.10/0.41 sk_c9=multiply(inverse(sk_c4),sk_c8)|~sQ1_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f86,f209])).
% 0.10/0.41 fof(f239,plain,(
% 0.10/0.41 sk_c8=multiply(inverse(sk_c5),sk_c7)|~sQ3_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f94,f209])).
% 0.10/0.41 fof(f241,plain,(
% 0.10/0.41 sk_c9=multiply(inverse(sk_c1),sk_c8)|~sQ0_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f83,f209])).
% 0.10/0.41 fof(f244,plain,(
% 0.10/0.41 sk_c9=multiply(sk_c9,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f90,f238])).
% 0.10/0.41 fof(f245,plain,(
% 0.10/0.41 sk_c8=multiply(sk_c8,sk_c7)|~sQ4_spl|~sQ3_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f98,f239])).
% 0.10/0.41 fof(f247,plain,(
% 0.10/0.41 sk_c9=multiply(sk_c9,sk_c8)|~sQ7_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f110,f241])).
% 0.10/0.41 fof(f256,plain,(
% 0.10/0.41 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f244,f209])).
% 0.10/0.41 fof(f258,plain,(
% 0.10/0.41 sk_c8=identity|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f42,f256])).
% 0.10/0.41 fof(f267,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c8,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f258,f41])).
% 0.10/0.41 fof(f268,plain,(
% 0.10/0.41 ~inverse(sk_c4)=sk_c9|~sQ12_spl|~sQ1_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f155,f86])).
% 0.10/0.41 fof(f269,plain,(
% 0.10/0.41 ~inverse(sk_c1)=sk_c9|~sQ12_spl|~sQ0_spl),
% 0.10/0.41 inference(resolution,[status(thm)],[f155,f83])).
% 0.10/0.41 fof(f273,plain,(
% 0.10/0.41 ~sk_c9=sk_c9|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f90,f268])).
% 0.10/0.41 fof(f274,plain,(
% 0.10/0.41 $false|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f273])).
% 0.10/0.41 fof(f275,plain,(
% 0.10/0.41 ~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f274])).
% 0.10/0.41 fof(f287,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f300,f267])).
% 0.10/0.41 fof(f289,plain,(
% 0.10/0.41 sk_c7=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f300,f258])).
% 0.10/0.41 fof(f300,plain,(
% 0.10/0.41 sk_c8=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f267,f245])).
% 0.10/0.41 fof(f305,plain,(
% 0.10/0.41 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f300,f161])).
% 0.10/0.41 fof(f306,plain,(
% 0.10/0.41 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f300,f305])).
% 0.10/0.41 fof(f308,plain,(
% 0.10/0.41 ~inverse(sk_c7)=sk_c7|~sk_c7=sk_c7|~sQ14_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f287,f306])).
% 0.10/0.41 fof(f310,definition,(
% 0.10/0.41 sQ16_spl <=> (inverse(sk_c7)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f312,plain,(
% 0.10/0.41 ~inverse(sk_c7)=sk_c7|sQ16_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f310])).
% 0.10/0.41 fof(f313,definition,(
% 0.10/0.41 sQ17_spl <=> (sk_c7=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f315,plain,(
% 0.10/0.41 ~sk_c7=sk_c7|sQ17_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f313])).
% 0.10/0.41 fof(f316,plain,(
% 0.10/0.41 ~sQ16_spl|~sQ17_spl|~sQ14_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f308,f310,f313,f160,f97,f93,f89,f85])).
% 0.10/0.41 fof(f328,plain,(
% 0.10/0.41 $false|sQ17_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f315])).
% 0.10/0.41 fof(f329,plain,(
% 0.10/0.41 sQ17_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f328])).
% 0.10/0.41 fof(f330,plain,(
% 0.10/0.41 ~sk_c9=sk_c9|~sQ7_spl|~sQ12_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f110,f269])).
% 0.10/0.41 fof(f331,plain,(
% 0.10/0.41 $false|~sQ7_spl|~sQ12_spl|~sQ0_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f330])).
% 0.10/0.41 fof(f332,plain,(
% 0.10/0.41 ~sQ7_spl|~sQ12_spl|~sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f331])).
% 0.10/0.41 fof(f343,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f289,f41])).
% 0.10/0.41 fof(f363,plain,(
% 0.10/0.41 sk_c7=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f364,f289])).
% 0.10/0.41 fof(f364,plain,(
% 0.10/0.41 sk_c6=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f343,f203])).
% 0.10/0.41 fof(f371,plain,(
% 0.10/0.41 ~inverse(sk_c7)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ16_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f363,f312])).
% 0.10/0.41 fof(f373,plain,(
% 0.10/0.41 inverse(sk_c6)=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f363,f102])).
% 0.10/0.41 fof(f374,plain,(
% 0.10/0.41 ~inverse(sk_c6)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ16_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f363,f371])).
% 0.10/0.41 fof(f390,plain,(
% 0.10/0.41 $false|sQ16_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f373,f374])).
% 0.10/0.41 fof(f391,plain,(
% 0.10/0.41 sQ16_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f390])).
% 0.10/0.41 fof(f392,plain,(
% 0.10/0.41 ~sQ17_spl|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f197,f313,f127,f157,f118])).
% 0.10/0.41 fof(f397,definition,(
% 0.10/0.41 sQ19_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f400,plain,(
% 0.10/0.41 ~sQ19_spl|~sQ17_spl|~sQ15_spl|~sQ8_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f172,f397,f313,f163,f118])).
% 0.10/0.41 fof(f407,plain,(
% 0.10/0.41 ~sk_c8=sk_c7|~sQ9_spl|~sQ15_spl|~sQ8_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f128,f169])).
% 0.10/0.41 fof(f417,plain,(
% 0.10/0.41 sk_c7=multiply(inverse(sk_c3),sk_c8)|~sQ11_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f146,f209])).
% 0.10/0.41 fof(f419,plain,(
% 0.10/0.41 sk_c7=multiply(sk_c8,sk_c8)|~sQ10_spl|~sQ11_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f137,f417])).
% 0.10/0.41 fof(f509,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c8)=multiply(sk_c1,sk_c9)|~sQ7_spl|~sQ0_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f247,f186])).
% 0.10/0.41 fof(f512,plain,(
% 0.10/0.41 sk_c7=multiply(sk_c1,sk_c9)|~sQ10_spl|~sQ11_spl|~sQ7_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f419,f509])).
% 0.10/0.41 fof(f531,plain,(
% 0.10/0.41 sk_c7=sk_c8|~sQ10_spl|~sQ11_spl|~sQ7_spl|~sQ0_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f512,f83])).
% 0.10/0.41 fof(f534,plain,(
% 0.10/0.41 $false|~sQ9_spl|~sQ15_spl|~sQ8_spl|~sQ10_spl|~sQ11_spl|~sQ7_spl|~sQ0_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f531,f407])).
% 0.10/0.41 fof(f535,plain,(
% 0.10/0.41 ~sQ9_spl|~sQ15_spl|~sQ8_spl|~sQ10_spl|~sQ11_spl|~sQ7_spl|~sQ0_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f534])).
% 0.10/0.41 fof(f536,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f166,f176,f181,f200,f275,f316,f329,f332,f391,f392,f400,f535])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.43 % Elapsed time: 0.064082 seconds
% 0.10/0.43 % CPU time: 0.191063 seconds
% 0.10/0.43 % Total memory used: 103.820 MB
% 0.10/0.43 % Net memory used: 103.673 MB
%------------------------------------------------------------------------------