%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP210-1 : 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 : n007.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 12:36:16 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP210-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n007.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 20:04:11 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.13/5.42 % Refutation found
% 0.13/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.42 fof(f1,axiom,(
% 0.13/5.42 (![X]: (multiply(identity,X) = X ))),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f2,axiom,(
% 0.13/5.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f3,axiom,(
% 0.13/5.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f4,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f5,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f6,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c5,sk_c6) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f7,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c5) = sk_c6 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f8,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c6,sk_c10) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f9,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f10,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f11,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f12,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f13,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f14,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c6) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f15,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c6 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f16,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c1) = sk_c2| multiply(sk_c6,sk_c10) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f17,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c1) = sk_c2| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f18,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c1) = sk_c2| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f19,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c1) = sk_c2| inverse(sk_c7) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f20,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f21,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f22,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c5,sk_c6) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f23,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c5) = sk_c6 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f24,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c6,sk_c10) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f25,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f26,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f27,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f28,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f29,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f30,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c5,sk_c6) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f31,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c5) = sk_c6 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f32,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c6,sk_c10) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f33,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f34,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f35,negated_conjecture,(
% 0.13/5.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f36,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c3,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f37,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c3,sk_c9) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f38,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c3,sk_c9) = sk_c10| multiply(sk_c5,sk_c6) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f39,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c3,sk_c9) = sk_c10| inverse(sk_c5) = sk_c6 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f40,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c3,sk_c9) = sk_c10| multiply(sk_c6,sk_c10) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f41,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c3,sk_c9) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f42,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c3,sk_c9) = sk_c10| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f43,negated_conjecture,(
% 0.13/5.42 ( multiply(sk_c3,sk_c9) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f44,negated_conjecture,(
% 0.13/5.42 (![X4,X5,X6,X1,X3,X2,X7,X8]: (( multiply(X4,X5) != sk_c10| inverse(X4) != X5| multiply(X5,sk_c9) != sk_c10| inverse(X6) != sk_c10| multiply(X6,sk_c9) != sk_c10| inverse(X1) != sk_c10| multiply(X1,sk_c9) != sk_c10| multiply(X3,X2) != sk_c9| inverse(X3) != X2| multiply(X2,sk_c10) != sk_c9| multiply(sk_c10,X7) != sk_c9| multiply(X8,sk_c10) != X7| inverse(X8) != sk_c10 ) ))),
% 0.13/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.42 fof(f45,plain,(
% 0.13/5.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/5.42 fof(f46,plain,(
% 0.13/5.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/5.42 fof(f47,plain,(
% 0.13/5.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/5.42 fof(f48,plain,(
% 0.13/5.42 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/5.42 fof(f49,plain,(
% 0.13/5.42 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/5.42 fof(f50,plain,(
% 0.13/5.42 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c5,sk_c6)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/5.42 fof(f51,plain,(
% 0.13/5.42 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c5)=sk_c6),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/5.42 fof(f52,plain,(
% 0.13/5.42 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c6,sk_c10)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/5.42 fof(f53,plain,(
% 0.13/5.42 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/5.42 fof(f54,plain,(
% 0.13/5.42 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c7,sk_c10)=sk_c8),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/5.42 fof(f55,plain,(
% 0.13/5.42 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/5.42 fof(f56,plain,(
% 0.13/5.42 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/5.42 fof(f57,plain,(
% 0.13/5.42 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/5.42 fof(f58,plain,(
% 0.13/5.42 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c6)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/5.42 fof(f59,plain,(
% 0.13/5.42 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c6),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/5.42 fof(f60,plain,(
% 0.13/5.42 inverse(sk_c1)=sk_c2|multiply(sk_c6,sk_c10)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/5.42 fof(f61,plain,(
% 0.13/5.42 inverse(sk_c1)=sk_c2|multiply(sk_c10,sk_c8)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/5.42 fof(f62,plain,(
% 0.13/5.42 inverse(sk_c1)=sk_c2|multiply(sk_c7,sk_c10)=sk_c8),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/5.42 fof(f63,plain,(
% 0.13/5.42 inverse(sk_c1)=sk_c2|inverse(sk_c7)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/5.42 fof(f64,plain,(
% 0.13/5.42 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/5.42 fof(f65,plain,(
% 0.13/5.42 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/5.42 fof(f66,plain,(
% 0.13/5.42 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c5,sk_c6)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/5.42 fof(f67,plain,(
% 0.13/5.42 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c5)=sk_c6),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/5.42 fof(f68,plain,(
% 0.13/5.42 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c6,sk_c10)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/5.42 fof(f69,plain,(
% 0.13/5.42 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/5.42 fof(f70,plain,(
% 0.13/5.42 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c7,sk_c10)=sk_c8),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/5.42 fof(f71,plain,(
% 0.13/5.42 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/5.42 fof(f72,plain,(
% 0.13/5.42 inverse(sk_c3)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/5.42 fof(f73,plain,(
% 0.13/5.42 inverse(sk_c3)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/5.42 fof(f74,plain,(
% 0.13/5.42 inverse(sk_c3)=sk_c10|multiply(sk_c5,sk_c6)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/5.42 fof(f75,plain,(
% 0.13/5.42 inverse(sk_c3)=sk_c10|inverse(sk_c5)=sk_c6),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/5.42 fof(f76,plain,(
% 0.13/5.42 inverse(sk_c3)=sk_c10|multiply(sk_c6,sk_c10)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/5.42 fof(f77,plain,(
% 0.13/5.42 inverse(sk_c3)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/5.42 fof(f78,plain,(
% 0.13/5.42 inverse(sk_c3)=sk_c10|multiply(sk_c7,sk_c10)=sk_c8),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/5.42 fof(f79,plain,(
% 0.13/5.42 inverse(sk_c3)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/5.42 fof(f80,plain,(
% 0.13/5.42 multiply(sk_c3,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/5.42 fof(f81,plain,(
% 0.13/5.42 multiply(sk_c3,sk_c9)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/5.42 fof(f82,plain,(
% 0.13/5.42 multiply(sk_c3,sk_c9)=sk_c10|multiply(sk_c5,sk_c6)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/5.42 fof(f83,plain,(
% 0.13/5.42 multiply(sk_c3,sk_c9)=sk_c10|inverse(sk_c5)=sk_c6),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/5.42 fof(f84,plain,(
% 0.13/5.42 multiply(sk_c3,sk_c9)=sk_c10|multiply(sk_c6,sk_c10)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/5.42 fof(f85,plain,(
% 0.13/5.42 multiply(sk_c3,sk_c9)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/5.42 fof(f86,plain,(
% 0.13/5.42 multiply(sk_c3,sk_c9)=sk_c10|multiply(sk_c7,sk_c10)=sk_c8),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/5.42 fof(f87,plain,(
% 0.13/5.42 multiply(sk_c3,sk_c9)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/5.42 fof(f88,plain,(
% 0.13/5.42 ![X8]: ((![X7]: (((![X2]: ((![X3]: (((![X1]: (((![X6]: (((![X5]: ((![X4]: (~multiply(X4,X5)=sk_c10|~inverse(X4)=X5))|~multiply(X5,sk_c9)=sk_c10))|~inverse(X6)=sk_c10)|~multiply(X6,sk_c9)=sk_c10))|~inverse(X1)=sk_c10)|~multiply(X1,sk_c9)=sk_c10))|~multiply(X3,X2)=sk_c9)|~inverse(X3)=X2))|~multiply(X2,sk_c10)=sk_c9))|~multiply(sk_c10,X7)=sk_c9)|~multiply(X8,sk_c10)=X7))|~inverse(X8)=sk_c10)),
% 0.13/5.42 inference(miniscoping,[status(thm)],[f44])).
% 0.13/5.42 fof(f89,plain,(
% 0.13/5.42 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~inverse(X2)=sk_c10|~multiply(X2,sk_c9)=sk_c10|~inverse(X3)=sk_c10|~multiply(X3,sk_c9)=sk_c10|~multiply(X4,X5)=sk_c9|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c9|~multiply(sk_c10,X6)=sk_c9|~multiply(X7,sk_c10)=X6|~inverse(X7)=sk_c10)),
% 0.13/5.42 inference(cnf_transformation,[status(thm)],[f88])).
% 0.13/5.42 fof(f90,definition,(
% 0.13/5.42 sQ0_spl <=> (multiply(sk_c1,sk_c2)=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f91,plain,(
% 0.13/5.42 multiply(sk_c1,sk_c2)=sk_c10|~sQ0_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f90])).
% 0.13/5.42 fof(f93,definition,(
% 0.13/5.42 sQ1_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f94,plain,(
% 0.13/5.42 inverse(sk_c4)=sk_c10|~sQ1_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f93])).
% 0.13/5.42 fof(f96,plain,(
% 0.13/5.42 sQ0_spl|sQ1_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f48,f90,f93])).
% 0.13/5.42 fof(f97,definition,(
% 0.13/5.42 sQ2_spl <=> (multiply(sk_c4,sk_c9)=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f98,plain,(
% 0.13/5.42 multiply(sk_c4,sk_c9)=sk_c10|~sQ2_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f97])).
% 0.13/5.42 fof(f100,plain,(
% 0.13/5.42 sQ0_spl|sQ2_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f49,f90,f97])).
% 0.13/5.42 fof(f101,definition,(
% 0.13/5.42 sQ3_spl <=> (multiply(sk_c5,sk_c6)=sk_c9)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f102,plain,(
% 0.13/5.42 multiply(sk_c5,sk_c6)=sk_c9|~sQ3_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f101])).
% 0.13/5.42 fof(f104,plain,(
% 0.13/5.42 sQ0_spl|sQ3_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f50,f90,f101])).
% 0.13/5.42 fof(f105,definition,(
% 0.13/5.42 sQ4_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f106,plain,(
% 0.13/5.42 inverse(sk_c5)=sk_c6|~sQ4_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f105])).
% 0.13/5.42 fof(f108,plain,(
% 0.13/5.42 sQ0_spl|sQ4_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f51,f90,f105])).
% 0.13/5.42 fof(f109,definition,(
% 0.13/5.42 sQ5_spl <=> (multiply(sk_c6,sk_c10)=sk_c9)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f110,plain,(
% 0.13/5.42 multiply(sk_c6,sk_c10)=sk_c9|~sQ5_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f109])).
% 0.13/5.42 fof(f112,plain,(
% 0.13/5.42 sQ0_spl|sQ5_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f52,f90,f109])).
% 0.13/5.42 fof(f113,definition,(
% 0.13/5.42 sQ6_spl <=> (multiply(sk_c10,sk_c8)=sk_c9)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f114,plain,(
% 0.13/5.42 multiply(sk_c10,sk_c8)=sk_c9|~sQ6_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f113])).
% 0.13/5.42 fof(f116,plain,(
% 0.13/5.42 sQ0_spl|sQ6_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f53,f90,f113])).
% 0.13/5.42 fof(f117,definition,(
% 0.13/5.42 sQ7_spl <=> (multiply(sk_c7,sk_c10)=sk_c8)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f118,plain,(
% 0.13/5.42 multiply(sk_c7,sk_c10)=sk_c8|~sQ7_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f117])).
% 0.13/5.42 fof(f120,plain,(
% 0.13/5.42 sQ0_spl|sQ7_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f54,f90,f117])).
% 0.13/5.42 fof(f121,definition,(
% 0.13/5.42 sQ8_spl <=> (inverse(sk_c7)=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f122,plain,(
% 0.13/5.42 inverse(sk_c7)=sk_c10|~sQ8_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f121])).
% 0.13/5.42 fof(f124,plain,(
% 0.13/5.42 sQ0_spl|sQ8_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f55,f90,f121])).
% 0.13/5.42 fof(f125,definition,(
% 0.13/5.42 sQ9_spl <=> (inverse(sk_c1)=sk_c2)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f126,plain,(
% 0.13/5.42 inverse(sk_c1)=sk_c2|~sQ9_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f125])).
% 0.13/5.42 fof(f128,plain,(
% 0.13/5.42 sQ9_spl|sQ1_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f56,f125,f93])).
% 0.13/5.42 fof(f129,plain,(
% 0.13/5.42 sQ9_spl|sQ2_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.13/5.42 fof(f130,plain,(
% 0.13/5.42 sQ9_spl|sQ3_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.13/5.42 fof(f131,plain,(
% 0.13/5.42 sQ9_spl|sQ4_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.13/5.42 fof(f132,plain,(
% 0.13/5.42 sQ9_spl|sQ5_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.13/5.42 fof(f133,plain,(
% 0.13/5.42 sQ9_spl|sQ6_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.13/5.42 fof(f134,plain,(
% 0.13/5.42 sQ9_spl|sQ7_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.13/5.42 fof(f135,plain,(
% 0.13/5.42 sQ9_spl|sQ8_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.13/5.42 fof(f136,definition,(
% 0.13/5.42 sQ10_spl <=> (multiply(sk_c2,sk_c9)=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f139,plain,(
% 0.13/5.42 sQ10_spl|sQ1_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f64,f136,f93])).
% 0.13/5.42 fof(f140,plain,(
% 0.13/5.42 sQ10_spl|sQ2_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f65,f136,f97])).
% 0.13/5.42 fof(f141,plain,(
% 0.13/5.42 sQ10_spl|sQ3_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f66,f136,f101])).
% 0.13/5.42 fof(f142,plain,(
% 0.13/5.42 sQ10_spl|sQ4_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f67,f136,f105])).
% 0.13/5.42 fof(f143,plain,(
% 0.13/5.42 sQ10_spl|sQ5_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f68,f136,f109])).
% 0.13/5.42 fof(f144,plain,(
% 0.13/5.42 sQ10_spl|sQ6_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f69,f136,f113])).
% 0.13/5.42 fof(f145,plain,(
% 0.13/5.42 sQ10_spl|sQ7_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f70,f136,f117])).
% 0.13/5.42 fof(f146,plain,(
% 0.13/5.42 sQ10_spl|sQ8_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f71,f136,f121])).
% 0.13/5.42 fof(f147,definition,(
% 0.13/5.42 sQ11_spl <=> (inverse(sk_c3)=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f148,plain,(
% 0.13/5.42 inverse(sk_c3)=sk_c10|~sQ11_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f147])).
% 0.13/5.42 fof(f150,plain,(
% 0.13/5.42 sQ11_spl|sQ1_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f72,f147,f93])).
% 0.13/5.42 fof(f151,plain,(
% 0.13/5.42 sQ11_spl|sQ2_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f73,f147,f97])).
% 0.13/5.42 fof(f152,plain,(
% 0.13/5.42 sQ11_spl|sQ3_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f74,f147,f101])).
% 0.13/5.42 fof(f153,plain,(
% 0.13/5.42 sQ11_spl|sQ4_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f75,f147,f105])).
% 0.13/5.42 fof(f154,plain,(
% 0.13/5.42 sQ11_spl|sQ5_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f76,f147,f109])).
% 0.13/5.42 fof(f155,plain,(
% 0.13/5.42 sQ11_spl|sQ6_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f77,f147,f113])).
% 0.13/5.42 fof(f156,plain,(
% 0.13/5.42 sQ11_spl|sQ7_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f78,f147,f117])).
% 0.13/5.42 fof(f157,plain,(
% 0.13/5.42 sQ11_spl|sQ8_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f79,f147,f121])).
% 0.13/5.42 fof(f158,definition,(
% 0.13/5.42 sQ12_spl <=> (multiply(sk_c3,sk_c9)=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f159,plain,(
% 0.13/5.42 multiply(sk_c3,sk_c9)=sk_c10|~sQ12_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f158])).
% 0.13/5.42 fof(f161,plain,(
% 0.13/5.42 sQ12_spl|sQ1_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f80,f158,f93])).
% 0.13/5.42 fof(f162,plain,(
% 0.13/5.42 sQ12_spl|sQ2_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f81,f158,f97])).
% 0.13/5.42 fof(f163,plain,(
% 0.13/5.42 sQ12_spl|sQ3_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f82,f158,f101])).
% 0.13/5.42 fof(f164,plain,(
% 0.13/5.42 sQ12_spl|sQ4_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f83,f158,f105])).
% 0.13/5.42 fof(f165,plain,(
% 0.13/5.42 sQ12_spl|sQ5_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f84,f158,f109])).
% 0.13/5.42 fof(f166,plain,(
% 0.13/5.42 sQ12_spl|sQ6_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f85,f158,f113])).
% 0.13/5.42 fof(f167,plain,(
% 0.13/5.42 sQ12_spl|sQ7_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f86,f158,f117])).
% 0.13/5.42 fof(f168,plain,(
% 0.13/5.42 sQ12_spl|sQ8_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f87,f158,f121])).
% 0.13/5.42 fof(f169,definition,(
% 0.13/5.42 ![X0,X1]: (sQ13_spl <=> (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10))),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f170,plain,(
% 0.13/5.42 ![X0,X1]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~sQ13_spl)),
% 0.13/5.42 inference(component_clause,[status(thm)],[f169])).
% 0.13/5.42 fof(f172,definition,(
% 0.13/5.42 ![X2]: (sQ14_spl <=> (~inverse(X2)=sk_c10|~multiply(X2,sk_c9)=sk_c10))),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f173,plain,(
% 0.13/5.42 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~sQ14_spl)),
% 0.13/5.42 inference(component_clause,[status(thm)],[f172])).
% 0.13/5.42 fof(f175,definition,(
% 0.13/5.42 ![X4,X5]: (sQ15_spl <=> (~multiply(X4,X5)=sk_c9|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c9))),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f176,plain,(
% 0.13/5.42 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c9|~sQ15_spl)),
% 0.13/5.42 inference(component_clause,[status(thm)],[f175])).
% 0.13/5.42 fof(f178,definition,(
% 0.13/5.42 ![X6,X7]: (sQ16_spl <=> (~multiply(sk_c10,X6)=sk_c9|~multiply(X7,sk_c10)=X6|~inverse(X7)=sk_c10))),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f179,plain,(
% 0.13/5.42 ![X0,X1]: (~multiply(sk_c10,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~sQ16_spl)),
% 0.13/5.42 inference(component_clause,[status(thm)],[f178])).
% 0.13/5.42 fof(f181,plain,(
% 0.13/5.42 sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f89,f169,f172,f175,f178])).
% 0.13/5.42 fof(f182,plain,(
% 0.13/5.42 ![X0]: (~multiply(sk_c10,multiply(X0,sk_c10))=sk_c9|~inverse(X0)=sk_c10|~sQ16_spl)),
% 0.13/5.42 inference(destructive_equality_resolution,[status(thm)],[f179])).
% 0.13/5.42 fof(f203,plain,(
% 0.13/5.42 ~multiply(sk_c10,sk_c8)=sk_c9|~inverse(sk_c7)=sk_c10|~sQ16_spl|~sQ7_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f118,f182])).
% 0.13/5.42 fof(f211,plain,(
% 0.13/5.42 ~sQ6_spl|~sQ8_spl|~sQ16_spl|~sQ7_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f203,f113,f121,f178,f117])).
% 0.13/5.42 fof(f212,plain,(
% 0.13/5.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c10)=sk_c9|~sQ15_spl)),
% 0.13/5.42 inference(destructive_equality_resolution,[status(thm)],[f176])).
% 0.13/5.42 fof(f213,plain,(
% 0.13/5.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~sQ13_spl)),
% 0.13/5.42 inference(destructive_equality_resolution,[status(thm)],[f170])).
% 0.13/5.42 fof(f215,plain,(
% 0.13/5.42 ~multiply(sk_c5,inverse(sk_c5))=sk_c9|~multiply(sk_c6,sk_c10)=sk_c9|~sQ15_spl|~sQ4_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f106,f212])).
% 0.13/5.42 fof(f222,definition,(
% 0.13/5.42 sQ20_spl <=> (multiply(sk_c10,sk_c10)=sk_c9)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f224,plain,(
% 0.13/5.42 ~multiply(sk_c10,sk_c10)=sk_c9|sQ20_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f222])).
% 0.13/5.42 fof(f226,definition,(
% 0.13/5.42 sQ21_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c9)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f228,plain,(
% 0.13/5.42 ~multiply(sk_c5,inverse(sk_c5))=sk_c9|sQ21_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f226])).
% 0.13/5.42 fof(f229,plain,(
% 0.13/5.42 ~sQ21_spl|~sQ5_spl|~sQ15_spl|~sQ4_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f215,f226,f109,f175,f105])).
% 0.13/5.42 fof(f248,plain,(
% 0.13/5.42 ~multiply(sk_c5,sk_c6)=sk_c9|~sQ4_spl|sQ21_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f106,f228])).
% 0.13/5.42 fof(f249,plain,(
% 0.13/5.42 ~sk_c9=sk_c9|~sQ3_spl|~sQ4_spl|sQ21_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f102,f248])).
% 0.13/5.42 fof(f250,plain,(
% 0.13/5.42 $false|~sQ3_spl|~sQ4_spl|sQ21_spl),
% 0.13/5.42 inference(trivial_equality_resolution,[status(thm)],[f249])).
% 0.13/5.42 fof(f251,plain,(
% 0.13/5.42 ~sQ3_spl|~sQ4_spl|sQ21_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f250])).
% 0.13/5.42 fof(f256,plain,(
% 0.13/5.42 multiply(sk_c10,sk_c3)=identity|~sQ11_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f148,f46])).
% 0.13/5.42 fof(f257,plain,(
% 0.13/5.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f46,f47])).
% 0.13/5.42 fof(f258,plain,(
% 0.13/5.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f45,f257])).
% 0.13/5.42 fof(f266,plain,(
% 0.13/5.42 ~inverse(sk_c4)=sk_c10|~sQ14_spl|~sQ2_spl),
% 0.13/5.42 inference(resolution,[status(thm)],[f173,f98])).
% 0.13/5.42 fof(f268,plain,(
% 0.13/5.42 ~inverse(sk_c3)=sk_c10|~sQ14_spl|~sQ12_spl),
% 0.13/5.42 inference(resolution,[status(thm)],[f173,f159])).
% 0.13/5.42 fof(f275,plain,(
% 0.13/5.42 ~sk_c10=sk_c10|~sQ1_spl|~sQ14_spl|~sQ2_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f94,f266])).
% 0.13/5.42 fof(f276,plain,(
% 0.13/5.42 $false|~sQ1_spl|~sQ14_spl|~sQ2_spl),
% 0.13/5.42 inference(trivial_equality_resolution,[status(thm)],[f275])).
% 0.13/5.42 fof(f277,plain,(
% 0.13/5.42 ~sQ1_spl|~sQ14_spl|~sQ2_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f276])).
% 0.13/5.42 fof(f278,plain,(
% 0.13/5.42 ~multiply(sk_c9,inverse(sk_c9))=sk_c10|~identity=sk_c10|~sQ13_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f46,f213])).
% 0.13/5.42 fof(f279,plain,(
% 0.13/5.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|~multiply(sk_c2,sk_c9)=sk_c10|~sQ13_spl|~sQ9_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f126,f213])).
% 0.13/5.42 fof(f281,definition,(
% 0.13/5.42 sQ26_spl <=> (multiply(sk_c9,inverse(sk_c9))=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f284,definition,(
% 0.13/5.42 sQ27_spl <=> (identity=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f286,plain,(
% 0.13/5.42 ~identity=sk_c10|sQ27_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f284])).
% 0.13/5.42 fof(f287,plain,(
% 0.13/5.42 ~sQ26_spl|~sQ27_spl|~sQ13_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f278,f281,f284,f169])).
% 0.13/5.42 fof(f288,definition,(
% 0.13/5.42 sQ28_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f290,plain,(
% 0.13/5.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|sQ28_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f288])).
% 0.13/5.42 fof(f291,plain,(
% 0.13/5.42 ~sQ28_spl|~sQ10_spl|~sQ13_spl|~sQ9_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f279,f288,f136,f169,f125])).
% 0.13/5.42 fof(f300,plain,(
% 0.13/5.42 ~multiply(sk_c1,sk_c2)=sk_c10|~sQ9_spl|sQ28_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f126,f290])).
% 0.13/5.42 fof(f301,plain,(
% 0.13/5.42 ~sk_c10=sk_c10|~sQ0_spl|~sQ9_spl|sQ28_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f91,f300])).
% 0.13/5.42 fof(f302,plain,(
% 0.13/5.42 $false|~sQ0_spl|~sQ9_spl|sQ28_spl),
% 0.13/5.42 inference(trivial_equality_resolution,[status(thm)],[f301])).
% 0.13/5.42 fof(f303,plain,(
% 0.13/5.42 ~sQ0_spl|~sQ9_spl|sQ28_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f302])).
% 0.13/5.42 fof(f306,plain,(
% 0.13/5.42 ~multiply(sk_c10,identity)=sk_c9|~inverse(inverse(sk_c10))=sk_c10|~sQ16_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f46,f182])).
% 0.13/5.42 fof(f307,plain,(
% 0.13/5.42 ~multiply(sk_c10,sk_c10)=sk_c9|~inverse(identity)=sk_c10|~sQ16_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f45,f182])).
% 0.13/5.42 fof(f309,definition,(
% 0.13/5.42 sQ31_spl <=> (multiply(sk_c10,identity)=sk_c9)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f312,definition,(
% 0.13/5.42 sQ32_spl <=> (inverse(inverse(sk_c10))=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f315,plain,(
% 0.13/5.42 ~sQ31_spl|~sQ32_spl|~sQ16_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f306,f309,f312,f178])).
% 0.13/5.42 fof(f316,definition,(
% 0.13/5.42 sQ33_spl <=> (inverse(identity)=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f318,plain,(
% 0.13/5.42 ~inverse(identity)=sk_c10|sQ33_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f316])).
% 0.13/5.42 fof(f319,plain,(
% 0.13/5.42 ~sQ20_spl|~sQ33_spl|~sQ16_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f307,f222,f316,f178])).
% 0.13/5.42 fof(f332,plain,(
% 0.13/5.42 sk_c2=multiply(inverse(sk_c1),sk_c10)|~sQ0_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f91,f258])).
% 0.13/5.42 fof(f335,plain,(
% 0.13/5.42 sk_c9=multiply(inverse(sk_c3),sk_c10)|~sQ12_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f159,f258])).
% 0.13/5.42 fof(f337,plain,(
% 0.13/5.42 sk_c2=multiply(sk_c2,sk_c10)|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f126,f332])).
% 0.13/5.42 fof(f338,plain,(
% 0.13/5.42 sk_c9=multiply(sk_c10,sk_c10)|~sQ11_spl|~sQ12_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f148,f335])).
% 0.13/5.42 fof(f339,plain,(
% 0.13/5.42 $false|sQ20_spl|~sQ11_spl|~sQ12_spl),
% 0.13/5.42 inference(forward_subsumption_resolution,[status(thm)],[f338,f224])).
% 0.13/5.42 fof(f340,plain,(
% 0.13/5.42 sQ20_spl|~sQ11_spl|~sQ12_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f339])).
% 0.13/5.42 fof(f349,plain,(
% 0.13/5.42 sk_c10=multiply(inverse(sk_c7),sk_c8)|~sQ7_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f118,f258])).
% 0.13/5.42 fof(f351,plain,(
% 0.13/5.42 sk_c10=multiply(sk_c10,sk_c8)|~sQ8_spl|~sQ7_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f122,f349])).
% 0.13/5.42 fof(f352,plain,(
% 0.13/5.42 sk_c10=sk_c9|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f114,f351])).
% 0.13/5.42 fof(f356,plain,(
% 0.13/5.42 multiply(sk_c6,sk_c9)=sk_c9|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f352,f110])).
% 0.13/5.42 fof(f404,plain,(
% 0.13/5.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c9)=sk_c10|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f352,f213])).
% 0.13/5.42 fof(f405,plain,(
% 0.13/5.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c9)=sk_c9|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f352,f404])).
% 0.13/5.42 fof(f411,plain,(
% 0.13/5.42 ~multiply(sk_c5,inverse(sk_c5))=sk_c9|~multiply(sk_c6,sk_c9)=sk_c9|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl|~sQ4_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f106,f405])).
% 0.13/5.42 fof(f416,definition,(
% 0.13/5.42 sQ35_spl <=> (sk_c9=sk_c9)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f418,plain,(
% 0.13/5.42 ~sk_c9=sk_c9|sQ35_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f416])).
% 0.13/5.42 fof(f432,definition,(
% 0.13/5.42 sQ39_spl <=> (multiply(sk_c6,sk_c9)=sk_c9)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f434,plain,(
% 0.13/5.42 ~multiply(sk_c6,sk_c9)=sk_c9|sQ39_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f432])).
% 0.13/5.42 fof(f435,plain,(
% 0.13/5.42 ~sQ21_spl|~sQ39_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl|~sQ4_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f411,f226,f432,f113,f121,f117,f169,f105])).
% 0.13/5.42 fof(f436,plain,(
% 0.13/5.42 ~sk_c9=sk_c9|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl|sQ39_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f356,f434])).
% 0.13/5.42 fof(f437,plain,(
% 0.13/5.42 $false|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl|sQ39_spl),
% 0.13/5.42 inference(trivial_equality_resolution,[status(thm)],[f436])).
% 0.13/5.42 fof(f438,plain,(
% 0.13/5.42 ~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ5_spl|sQ39_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f437])).
% 0.13/5.42 fof(f440,plain,(
% 0.13/5.42 $false|sQ35_spl),
% 0.13/5.42 inference(trivial_equality_resolution,[status(thm)],[f418])).
% 0.13/5.42 fof(f441,plain,(
% 0.13/5.42 sQ35_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f440])).
% 0.13/5.42 fof(f442,plain,(
% 0.13/5.42 ~sQ11_spl|~sQ14_spl|~sQ12_spl),
% 0.13/5.42 inference(split_clause,[status(thm)],[f268,f147,f172,f158])).
% 0.13/5.42 fof(f454,definition,(
% 0.13/5.42 sQ43_spl <=> (sk_c10=sk_c10)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f456,plain,(
% 0.13/5.42 ~sk_c10=sk_c10|sQ43_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f454])).
% 0.13/5.42 fof(f459,plain,(
% 0.13/5.42 $false|sQ43_spl),
% 0.13/5.42 inference(trivial_equality_resolution,[status(thm)],[f456])).
% 0.13/5.42 fof(f460,plain,(
% 0.13/5.42 sQ43_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f459])).
% 0.13/5.42 fof(f467,plain,(
% 0.13/5.42 sk_c10=multiply(inverse(sk_c2),sk_c2)|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f337,f258])).
% 0.13/5.42 fof(f469,plain,(
% 0.13/5.42 sk_c10=identity|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f46,f467])).
% 0.13/5.42 fof(f470,plain,(
% 0.13/5.42 $false|sQ27_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(forward_subsumption_resolution,[status(thm)],[f469,f286])).
% 0.13/5.42 fof(f471,plain,(
% 0.13/5.42 sQ27_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f470])).
% 0.13/5.42 fof(f472,plain,(
% 0.13/5.42 ~inverse(sk_c10)=sk_c10|~sQ9_spl|~sQ0_spl|sQ33_spl),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f469,f318])).
% 0.13/5.42 fof(f476,plain,(
% 0.13/5.42 ![X0]: (multiply(inverse(X0),X0)=sk_c10|~sQ9_spl|~sQ0_spl)),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f469,f46])).
% 0.13/5.42 fof(f477,plain,(
% 0.13/5.42 ![X0]: (multiply(sk_c10,X0)=X0|~sQ9_spl|~sQ0_spl)),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f469,f45])).
% 0.13/5.42 fof(f485,plain,(
% 0.13/5.42 sk_c10=sk_c3|~sQ11_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f486,f469])).
% 0.13/5.42 fof(f486,plain,(
% 0.13/5.42 sk_c3=identity|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f477,f256])).
% 0.13/5.42 fof(f488,plain,(
% 0.13/5.42 ![X0]: (multiply(sk_c3,X0)=X0|~sQ11_spl|~sQ9_spl|~sQ0_spl)),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f485,f477])).
% 0.13/5.42 fof(f490,plain,(
% 0.13/5.42 multiply(sk_c3,sk_c9)=sk_c3|~sQ11_spl|~sQ9_spl|~sQ0_spl|~sQ12_spl),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f485,f159])).
% 0.13/5.42 fof(f492,plain,(
% 0.13/5.42 ~inverse(sk_c10)=sk_c3|~sQ11_spl|~sQ9_spl|~sQ0_spl|sQ33_spl),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f485,f472])).
% 0.13/5.42 fof(f498,plain,(
% 0.13/5.42 inverse(sk_c3)=sk_c3|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f485,f148])).
% 0.13/5.42 fof(f500,plain,(
% 0.13/5.42 ~inverse(sk_c3)=sk_c3|~sQ11_spl|~sQ9_spl|~sQ0_spl|sQ33_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f485,f492])).
% 0.13/5.42 fof(f503,plain,(
% 0.13/5.42 $false|sQ33_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.13/5.42 inference(forward_subsumption_resolution,[status(thm)],[f498,f500])).
% 0.13/5.42 fof(f504,plain,(
% 0.13/5.42 sQ33_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f503])).
% 0.13/5.42 fof(f505,plain,(
% 0.13/5.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c3)=sk_c9|~sQ11_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl)),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f485,f212])).
% 0.13/5.42 fof(f515,plain,(
% 0.13/5.42 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ11_spl|~sQ9_spl|~sQ0_spl)),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f485,f476])).
% 0.13/5.42 fof(f521,plain,(
% 0.13/5.42 sk_c9=sk_c3|~sQ11_spl|~sQ9_spl|~sQ0_spl|~sQ12_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f488,f490])).
% 0.13/5.42 fof(f593,plain,(
% 0.13/5.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c3|~multiply(inverse(X0),sk_c3)=sk_c9|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl)),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f521,f505])).
% 0.13/5.42 fof(f594,plain,(
% 0.13/5.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c3|~multiply(inverse(X0),sk_c3)=sk_c3|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ0_spl|~sQ15_spl)),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f521,f593])).
% 0.13/5.42 fof(f595,plain,(
% 0.13/5.42 ~multiply(sk_c3,inverse(sk_c3))=sk_c3|~sQ12_spl|~sQ15_spl|~sQ11_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(resolution,[status(thm)],[f594,f515])).
% 0.13/5.42 fof(f598,plain,(
% 0.13/5.42 ~inverse(sk_c3)=sk_c3|~sQ12_spl|~sQ15_spl|~sQ11_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f488,f595])).
% 0.13/5.42 fof(f599,plain,(
% 0.13/5.42 ~sk_c3=sk_c3|~sQ12_spl|~sQ15_spl|~sQ11_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f498,f598])).
% 0.13/5.42 fof(f600,plain,(
% 0.13/5.42 $false|~sQ12_spl|~sQ15_spl|~sQ11_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(trivial_equality_resolution,[status(thm)],[f599])).
% 0.13/5.42 fof(f601,plain,(
% 0.13/5.42 ~sQ12_spl|~sQ15_spl|~sQ11_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f600])).
% 0.13/5.42 fof(f602,plain,(
% 0.13/5.42 $false),
% 0.13/5.42 inference(sat_refutation,[status(thm)],[f96,f100,f104,f108,f112,f116,f120,f124,f128,f129,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f145,f146,f150,f151,f152,f153,f154,f155,f156,f157,f161,f162,f163,f164,f165,f166,f167,f168,f181,f211,f229,f251,f277,f287,f291,f303,f315,f319,f340,f435,f438,f441,f442,f460,f471,f504,f601])).
% 0.13/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.43 % Elapsed time: 0.057272 seconds
% 0.13/5.43 % CPU time: 0.232731 seconds
% 0.13/5.43 % Total memory used: 77.644 MB
% 0.13/5.43 % Net memory used: 77.503 MB
%------------------------------------------------------------------------------