%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP209-1 : 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 : n011.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 12:36:15 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP209-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:06:12 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 0.03/0.45 % Refutation found
% 0.03/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.45 fof(f1,axiom,(
% 0.03/0.45 (![X]: (multiply(identity,X) = X ))),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f2,axiom,(
% 0.03/0.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f3,axiom,(
% 0.03/0.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f4,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f5,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f6,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f7,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c6) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f8,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f9,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c1,sk_c2) = sk_c10| inverse(sk_c7) = sk_c8 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f10,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c1,sk_c2) = sk_c10| multiply(sk_c8,sk_c10) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f11,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f12,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f13,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c1) = sk_c2| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f14,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c1) = sk_c2| inverse(sk_c6) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f15,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c1) = sk_c2| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f16,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c1) = sk_c2| inverse(sk_c7) = sk_c8 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f17,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c10) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f18,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f19,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f20,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f21,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c6) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f22,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f23,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c7) = sk_c8 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f24,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c8,sk_c10) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f25,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c10,sk_c4) = sk_c9| inverse(sk_c5) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f26,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c10,sk_c4) = sk_c9| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f27,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c10,sk_c4) = sk_c9| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f28,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c10,sk_c4) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f29,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c10,sk_c4) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f30,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c10,sk_c4) = sk_c9| inverse(sk_c7) = sk_c8 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f31,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c10,sk_c4) = sk_c9| multiply(sk_c8,sk_c10) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f32,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c3,sk_c10) = sk_c4| inverse(sk_c5) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f33,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c3,sk_c10) = sk_c4| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f34,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c3,sk_c10) = sk_c4| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f35,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c3,sk_c10) = sk_c4| inverse(sk_c6) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f36,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c3,sk_c10) = sk_c4| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f37,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c3,sk_c10) = sk_c4| inverse(sk_c7) = sk_c8 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f38,negated_conjecture,(
% 0.03/0.45 ( multiply(sk_c3,sk_c10) = sk_c4| multiply(sk_c8,sk_c10) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f39,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c3) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f40,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c3) = sk_c10| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f41,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c3) = sk_c10| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f42,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c3) = sk_c10| inverse(sk_c6) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f43,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c3) = sk_c10| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f44,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c3) = sk_c10| inverse(sk_c7) = sk_c8 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f45,negated_conjecture,(
% 0.03/0.45 ( inverse(sk_c3) = sk_c10| multiply(sk_c8,sk_c10) = sk_c9 ) ),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f46,negated_conjecture,(
% 0.03/0.45 (![X5,X6,X7,X8,X1,X2,X4,X3]: (( multiply(X5,X6) != sk_c10| inverse(X5) != X6| multiply(X6,sk_c9) != sk_c10| multiply(sk_c10,X7) != sk_c9| multiply(X8,sk_c10) != X7| inverse(X8) != sk_c10| inverse(X1) != sk_c10| multiply(X1,sk_c9) != sk_c10| multiply(X2,sk_c9) != sk_c10| inverse(X2) != sk_c9| multiply(X4,X3) != sk_c9| inverse(X4) != X3| multiply(X3,sk_c10) != sk_c9 ) ))),
% 0.03/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f47,plain,(
% 0.03/0.45 ![X0]: (multiply(identity,X0)=X0)),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.45 fof(f48,plain,(
% 0.03/0.45 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.45 fof(f49,plain,(
% 0.03/0.45 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.45 fof(f50,plain,(
% 0.03/0.45 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/0.45 fof(f51,plain,(
% 0.03/0.45 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c5,sk_c9)=sk_c10),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/0.45 fof(f52,plain,(
% 0.03/0.45 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c6,sk_c9)=sk_c10),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f6])).
% 0.03/0.45 fof(f53,plain,(
% 0.03/0.45 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c6)=sk_c9),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f7])).
% 0.03/0.45 fof(f54,plain,(
% 0.03/0.45 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c7,sk_c8)=sk_c9),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f8])).
% 0.03/0.45 fof(f55,plain,(
% 0.03/0.45 multiply(sk_c1,sk_c2)=sk_c10|inverse(sk_c7)=sk_c8),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f9])).
% 0.03/0.45 fof(f56,plain,(
% 0.03/0.45 multiply(sk_c1,sk_c2)=sk_c10|multiply(sk_c8,sk_c10)=sk_c9),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f10])).
% 0.03/0.45 fof(f57,plain,(
% 0.03/0.45 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c10),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f11])).
% 0.03/0.45 fof(f58,plain,(
% 0.03/0.45 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c9)=sk_c10),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f12])).
% 0.03/0.45 fof(f59,plain,(
% 0.03/0.45 inverse(sk_c1)=sk_c2|multiply(sk_c6,sk_c9)=sk_c10),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f13])).
% 0.03/0.46 fof(f60,plain,(
% 0.03/0.46 inverse(sk_c1)=sk_c2|inverse(sk_c6)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f14])).
% 0.03/0.46 fof(f61,plain,(
% 0.03/0.46 inverse(sk_c1)=sk_c2|multiply(sk_c7,sk_c8)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f15])).
% 0.03/0.46 fof(f62,plain,(
% 0.03/0.46 inverse(sk_c1)=sk_c2|inverse(sk_c7)=sk_c8),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f16])).
% 0.03/0.46 fof(f63,plain,(
% 0.03/0.46 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c10)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f17])).
% 0.03/0.46 fof(f64,plain,(
% 0.03/0.46 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f18])).
% 0.03/0.46 fof(f65,plain,(
% 0.03/0.46 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c5,sk_c9)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f19])).
% 0.03/0.46 fof(f66,plain,(
% 0.03/0.46 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c6,sk_c9)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f20])).
% 0.03/0.46 fof(f67,plain,(
% 0.03/0.46 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c6)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f21])).
% 0.03/0.46 fof(f68,plain,(
% 0.03/0.46 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c7,sk_c8)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f22])).
% 0.03/0.46 fof(f69,plain,(
% 0.03/0.46 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c7)=sk_c8),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f23])).
% 0.03/0.46 fof(f70,plain,(
% 0.03/0.46 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c8,sk_c10)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f24])).
% 0.03/0.46 fof(f71,plain,(
% 0.03/0.46 multiply(sk_c10,sk_c4)=sk_c9|inverse(sk_c5)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f25])).
% 0.03/0.46 fof(f72,plain,(
% 0.03/0.46 multiply(sk_c10,sk_c4)=sk_c9|multiply(sk_c5,sk_c9)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f26])).
% 0.03/0.46 fof(f73,plain,(
% 0.03/0.46 multiply(sk_c10,sk_c4)=sk_c9|multiply(sk_c6,sk_c9)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f27])).
% 0.03/0.46 fof(f74,plain,(
% 0.03/0.46 multiply(sk_c10,sk_c4)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f28])).
% 0.03/0.46 fof(f75,plain,(
% 0.03/0.46 multiply(sk_c10,sk_c4)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f29])).
% 0.03/0.46 fof(f76,plain,(
% 0.03/0.46 multiply(sk_c10,sk_c4)=sk_c9|inverse(sk_c7)=sk_c8),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f30])).
% 0.03/0.46 fof(f77,plain,(
% 0.03/0.46 multiply(sk_c10,sk_c4)=sk_c9|multiply(sk_c8,sk_c10)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f31])).
% 0.03/0.46 fof(f78,plain,(
% 0.03/0.46 multiply(sk_c3,sk_c10)=sk_c4|inverse(sk_c5)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f32])).
% 0.03/0.46 fof(f79,plain,(
% 0.03/0.46 multiply(sk_c3,sk_c10)=sk_c4|multiply(sk_c5,sk_c9)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f33])).
% 0.03/0.46 fof(f80,plain,(
% 0.03/0.46 multiply(sk_c3,sk_c10)=sk_c4|multiply(sk_c6,sk_c9)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f34])).
% 0.03/0.46 fof(f81,plain,(
% 0.03/0.46 multiply(sk_c3,sk_c10)=sk_c4|inverse(sk_c6)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f35])).
% 0.03/0.46 fof(f82,plain,(
% 0.03/0.46 multiply(sk_c3,sk_c10)=sk_c4|multiply(sk_c7,sk_c8)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f36])).
% 0.03/0.46 fof(f83,plain,(
% 0.03/0.46 multiply(sk_c3,sk_c10)=sk_c4|inverse(sk_c7)=sk_c8),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f37])).
% 0.03/0.46 fof(f84,plain,(
% 0.03/0.46 multiply(sk_c3,sk_c10)=sk_c4|multiply(sk_c8,sk_c10)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f38])).
% 0.03/0.46 fof(f85,plain,(
% 0.03/0.46 inverse(sk_c3)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f39])).
% 0.03/0.46 fof(f86,plain,(
% 0.03/0.46 inverse(sk_c3)=sk_c10|multiply(sk_c5,sk_c9)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f40])).
% 0.03/0.46 fof(f87,plain,(
% 0.03/0.46 inverse(sk_c3)=sk_c10|multiply(sk_c6,sk_c9)=sk_c10),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f41])).
% 0.03/0.46 fof(f88,plain,(
% 0.03/0.46 inverse(sk_c3)=sk_c10|inverse(sk_c6)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f42])).
% 0.03/0.46 fof(f89,plain,(
% 0.03/0.46 inverse(sk_c3)=sk_c10|multiply(sk_c7,sk_c8)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f43])).
% 0.03/0.46 fof(f90,plain,(
% 0.03/0.46 inverse(sk_c3)=sk_c10|inverse(sk_c7)=sk_c8),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f44])).
% 0.03/0.46 fof(f91,plain,(
% 0.03/0.46 inverse(sk_c3)=sk_c10|multiply(sk_c8,sk_c10)=sk_c9),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f45])).
% 0.03/0.46 fof(f92,plain,(
% 0.03/0.46 ![X3]: ((![X4]: (((![X2]: (((![X1]: (((![X8]: ((![X7]: (((![X6]: ((![X5]: (~multiply(X5,X6)=sk_c10|~inverse(X5)=X6))|~multiply(X6,sk_c9)=sk_c10))|~multiply(sk_c10,X7)=sk_c9)|~multiply(X8,sk_c10)=X7))|~inverse(X8)=sk_c10))|~inverse(X1)=sk_c10)|~multiply(X1,sk_c9)=sk_c10))|~multiply(X2,sk_c9)=sk_c10)|~inverse(X2)=sk_c9))|~multiply(X4,X3)=sk_c9)|~inverse(X4)=X3))|~multiply(X3,sk_c10)=sk_c9)),
% 0.03/0.46 inference(miniscoping,[status(thm)],[f46])).
% 0.03/0.46 fof(f93,plain,(
% 0.03/0.46 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~multiply(sk_c10,X2)=sk_c9|~multiply(X3,sk_c10)=X2|~inverse(X3)=sk_c10|~inverse(X4)=sk_c10|~multiply(X4,sk_c9)=sk_c10|~multiply(X5,sk_c9)=sk_c10|~inverse(X5)=sk_c9|~multiply(X6,X7)=sk_c9|~inverse(X6)=X7|~multiply(X7,sk_c10)=sk_c9)),
% 0.03/0.46 inference(cnf_transformation,[status(thm)],[f92])).
% 0.03/0.46 fof(f94,definition,(
% 0.03/0.46 sQ0_spl <=> (multiply(sk_c1,sk_c2)=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f95,plain,(
% 0.03/0.46 multiply(sk_c1,sk_c2)=sk_c10|~sQ0_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f94])).
% 0.03/0.46 fof(f97,definition,(
% 0.03/0.46 sQ1_spl <=> (inverse(sk_c5)=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f98,plain,(
% 0.03/0.46 inverse(sk_c5)=sk_c10|~sQ1_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f97])).
% 0.03/0.46 fof(f100,plain,(
% 0.03/0.46 sQ0_spl|sQ1_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.03/0.46 fof(f101,definition,(
% 0.03/0.46 sQ2_spl <=> (multiply(sk_c5,sk_c9)=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f102,plain,(
% 0.03/0.46 multiply(sk_c5,sk_c9)=sk_c10|~sQ2_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f101])).
% 0.03/0.46 fof(f104,plain,(
% 0.03/0.46 sQ0_spl|sQ2_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.03/0.46 fof(f105,definition,(
% 0.03/0.46 sQ3_spl <=> (multiply(sk_c6,sk_c9)=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f106,plain,(
% 0.03/0.46 multiply(sk_c6,sk_c9)=sk_c10|~sQ3_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f105])).
% 0.03/0.46 fof(f108,plain,(
% 0.03/0.46 sQ0_spl|sQ3_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.03/0.46 fof(f109,definition,(
% 0.03/0.46 sQ4_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f110,plain,(
% 0.03/0.46 inverse(sk_c6)=sk_c9|~sQ4_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f109])).
% 0.03/0.46 fof(f112,plain,(
% 0.03/0.46 sQ0_spl|sQ4_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.03/0.46 fof(f113,definition,(
% 0.03/0.46 sQ5_spl <=> (multiply(sk_c7,sk_c8)=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f114,plain,(
% 0.03/0.46 multiply(sk_c7,sk_c8)=sk_c9|~sQ5_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f113])).
% 0.03/0.46 fof(f116,plain,(
% 0.03/0.46 sQ0_spl|sQ5_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f54,f94,f113])).
% 0.03/0.46 fof(f117,definition,(
% 0.03/0.46 sQ6_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f118,plain,(
% 0.03/0.46 inverse(sk_c7)=sk_c8|~sQ6_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f117])).
% 0.03/0.46 fof(f120,plain,(
% 0.03/0.46 sQ0_spl|sQ6_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f55,f94,f117])).
% 0.03/0.46 fof(f121,definition,(
% 0.03/0.46 sQ7_spl <=> (multiply(sk_c8,sk_c10)=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f124,plain,(
% 0.03/0.46 sQ0_spl|sQ7_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f56,f94,f121])).
% 0.03/0.46 fof(f125,definition,(
% 0.03/0.46 sQ8_spl <=> (inverse(sk_c1)=sk_c2)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f126,plain,(
% 0.03/0.46 inverse(sk_c1)=sk_c2|~sQ8_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f125])).
% 0.03/0.46 fof(f128,plain,(
% 0.03/0.46 sQ8_spl|sQ1_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.03/0.46 fof(f129,plain,(
% 0.03/0.46 sQ8_spl|sQ2_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.03/0.46 fof(f130,plain,(
% 0.03/0.46 sQ8_spl|sQ3_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.03/0.46 fof(f131,plain,(
% 0.03/0.46 sQ8_spl|sQ4_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.03/0.46 fof(f132,plain,(
% 0.03/0.46 sQ8_spl|sQ5_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.03/0.46 fof(f133,plain,(
% 0.03/0.46 sQ8_spl|sQ6_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.03/0.46 fof(f134,plain,(
% 0.03/0.46 sQ8_spl|sQ7_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.03/0.46 fof(f135,definition,(
% 0.03/0.46 sQ9_spl <=> (multiply(sk_c2,sk_c9)=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f136,plain,(
% 0.03/0.46 multiply(sk_c2,sk_c9)=sk_c10|~sQ9_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f135])).
% 0.03/0.46 fof(f138,plain,(
% 0.03/0.46 sQ9_spl|sQ1_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f64,f135,f97])).
% 0.03/0.46 fof(f139,plain,(
% 0.03/0.46 sQ9_spl|sQ2_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f65,f135,f101])).
% 0.03/0.46 fof(f140,plain,(
% 0.03/0.46 sQ9_spl|sQ3_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.03/0.46 fof(f141,plain,(
% 0.03/0.46 sQ9_spl|sQ4_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.03/0.46 fof(f142,plain,(
% 0.03/0.46 sQ9_spl|sQ5_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.03/0.46 fof(f143,plain,(
% 0.03/0.46 sQ9_spl|sQ6_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.03/0.46 fof(f144,plain,(
% 0.03/0.46 sQ9_spl|sQ7_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.03/0.46 fof(f145,definition,(
% 0.03/0.46 sQ10_spl <=> (multiply(sk_c10,sk_c4)=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f146,plain,(
% 0.03/0.46 multiply(sk_c10,sk_c4)=sk_c9|~sQ10_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f145])).
% 0.03/0.46 fof(f148,plain,(
% 0.03/0.46 sQ10_spl|sQ1_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f71,f145,f97])).
% 0.03/0.46 fof(f149,plain,(
% 0.03/0.46 sQ10_spl|sQ2_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f72,f145,f101])).
% 0.03/0.46 fof(f150,plain,(
% 0.03/0.46 sQ10_spl|sQ3_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.03/0.46 fof(f151,plain,(
% 0.03/0.46 sQ10_spl|sQ4_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.03/0.46 fof(f152,plain,(
% 0.03/0.46 sQ10_spl|sQ5_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.03/0.46 fof(f153,plain,(
% 0.03/0.46 sQ10_spl|sQ6_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.03/0.46 fof(f154,plain,(
% 0.03/0.46 sQ10_spl|sQ7_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.03/0.46 fof(f155,definition,(
% 0.03/0.46 sQ11_spl <=> (multiply(sk_c3,sk_c10)=sk_c4)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f156,plain,(
% 0.03/0.46 multiply(sk_c3,sk_c10)=sk_c4|~sQ11_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f155])).
% 0.03/0.46 fof(f158,plain,(
% 0.03/0.46 sQ11_spl|sQ1_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f78,f155,f97])).
% 0.03/0.46 fof(f159,plain,(
% 0.03/0.46 sQ11_spl|sQ2_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f79,f155,f101])).
% 0.03/0.46 fof(f160,plain,(
% 0.03/0.46 sQ11_spl|sQ3_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f80,f155,f105])).
% 0.03/0.46 fof(f161,plain,(
% 0.03/0.46 sQ11_spl|sQ4_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f81,f155,f109])).
% 0.03/0.46 fof(f162,plain,(
% 0.03/0.46 sQ11_spl|sQ5_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f82,f155,f113])).
% 0.03/0.46 fof(f163,plain,(
% 0.03/0.46 sQ11_spl|sQ6_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f83,f155,f117])).
% 0.03/0.46 fof(f164,plain,(
% 0.03/0.46 sQ11_spl|sQ7_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f84,f155,f121])).
% 0.03/0.46 fof(f165,definition,(
% 0.03/0.46 sQ12_spl <=> (inverse(sk_c3)=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f166,plain,(
% 0.03/0.46 inverse(sk_c3)=sk_c10|~sQ12_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f165])).
% 0.03/0.46 fof(f168,plain,(
% 0.03/0.46 sQ12_spl|sQ1_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f85,f165,f97])).
% 0.03/0.46 fof(f169,plain,(
% 0.03/0.46 sQ12_spl|sQ2_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f86,f165,f101])).
% 0.03/0.46 fof(f170,plain,(
% 0.03/0.46 sQ12_spl|sQ3_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f87,f165,f105])).
% 0.03/0.46 fof(f171,plain,(
% 0.03/0.46 sQ12_spl|sQ4_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f88,f165,f109])).
% 0.03/0.46 fof(f172,plain,(
% 0.03/0.46 sQ12_spl|sQ5_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f89,f165,f113])).
% 0.03/0.46 fof(f173,plain,(
% 0.03/0.46 sQ12_spl|sQ6_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f90,f165,f117])).
% 0.03/0.46 fof(f174,plain,(
% 0.03/0.46 sQ12_spl|sQ7_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f91,f165,f121])).
% 0.03/0.46 fof(f175,definition,(
% 0.03/0.46 ![X0,X1]: (sQ13_spl <=> (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10))),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f176,plain,(
% 0.03/0.46 ![X0,X1]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~sQ13_spl)),
% 0.03/0.46 inference(component_clause,[status(thm)],[f175])).
% 0.03/0.46 fof(f178,definition,(
% 0.03/0.46 ![X2,X3]: (sQ14_spl <=> (~multiply(sk_c10,X2)=sk_c9|~multiply(X3,sk_c10)=X2|~inverse(X3)=sk_c10))),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f179,plain,(
% 0.03/0.46 ![X0,X1]: (~multiply(sk_c10,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~sQ14_spl)),
% 0.03/0.46 inference(component_clause,[status(thm)],[f178])).
% 0.03/0.46 fof(f181,definition,(
% 0.03/0.46 ![X4]: (sQ15_spl <=> (~inverse(X4)=sk_c10|~multiply(X4,sk_c9)=sk_c10))),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f182,plain,(
% 0.03/0.46 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~sQ15_spl)),
% 0.03/0.46 inference(component_clause,[status(thm)],[f181])).
% 0.03/0.46 fof(f184,definition,(
% 0.03/0.46 ![X5]: (sQ16_spl <=> (~multiply(X5,sk_c9)=sk_c10|~inverse(X5)=sk_c9))),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f185,plain,(
% 0.03/0.46 ![X0]: (~multiply(X0,sk_c9)=sk_c10|~inverse(X0)=sk_c9|~sQ16_spl)),
% 0.03/0.46 inference(component_clause,[status(thm)],[f184])).
% 0.03/0.46 fof(f187,definition,(
% 0.03/0.46 ![X6,X7]: (sQ17_spl <=> (~multiply(X6,X7)=sk_c9|~inverse(X6)=X7|~multiply(X7,sk_c10)=sk_c9))),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f188,plain,(
% 0.03/0.46 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c9|~sQ17_spl)),
% 0.03/0.46 inference(component_clause,[status(thm)],[f187])).
% 0.03/0.46 fof(f190,plain,(
% 0.03/0.46 sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl|sQ17_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f93,f175,f178,f181,f184,f187])).
% 0.03/0.46 fof(f191,plain,(
% 0.03/0.46 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c10)=sk_c9|~sQ17_spl)),
% 0.03/0.46 inference(destructive_equality_resolution,[status(thm)],[f188])).
% 0.03/0.46 fof(f193,plain,(
% 0.03/0.46 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c5,multiply(sk_c9,X0))|~sQ2_spl)),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f102,f49])).
% 0.03/0.46 fof(f194,plain,(
% 0.03/0.46 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c6,multiply(sk_c9,X0))|~sQ3_spl)),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f106,f49])).
% 0.03/0.46 fof(f195,plain,(
% 0.03/0.46 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~sQ5_spl)),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f114,f49])).
% 0.03/0.46 fof(f197,plain,(
% 0.03/0.46 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c1,multiply(sk_c2,X0))|~sQ0_spl)),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f95,f49])).
% 0.03/0.46 fof(f205,plain,(
% 0.03/0.46 ~multiply(sk_c7,inverse(sk_c7))=sk_c9|~multiply(sk_c8,sk_c10)=sk_c9|~sQ17_spl|~sQ6_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f118,f191])).
% 0.03/0.46 fof(f206,plain,(
% 0.03/0.46 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|~multiply(sk_c2,sk_c10)=sk_c9|~sQ17_spl|~sQ8_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f126,f191])).
% 0.03/0.46 fof(f207,plain,(
% 0.03/0.46 ~multiply(sk_c3,inverse(sk_c3))=sk_c9|~multiply(sk_c10,sk_c10)=sk_c9|~sQ17_spl|~sQ12_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f166,f191])).
% 0.03/0.46 fof(f211,definition,(
% 0.03/0.46 sQ19_spl <=> (multiply(sk_c10,sk_c10)=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f222,definition,(
% 0.03/0.46 sQ22_spl <=> (multiply(sk_c7,inverse(sk_c7))=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f224,plain,(
% 0.03/0.46 ~multiply(sk_c7,inverse(sk_c7))=sk_c9|sQ22_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f222])).
% 0.03/0.46 fof(f225,plain,(
% 0.03/0.46 ~sQ22_spl|~sQ7_spl|~sQ17_spl|~sQ6_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f205,f222,f121,f187,f117])).
% 0.03/0.46 fof(f226,definition,(
% 0.03/0.46 sQ23_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f228,plain,(
% 0.03/0.46 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|sQ23_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f226])).
% 0.03/0.46 fof(f229,definition,(
% 0.03/0.46 sQ24_spl <=> (multiply(sk_c2,sk_c10)=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f231,plain,(
% 0.03/0.46 ~multiply(sk_c2,sk_c10)=sk_c9|sQ24_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f229])).
% 0.03/0.46 fof(f232,plain,(
% 0.03/0.46 ~sQ23_spl|~sQ24_spl|~sQ17_spl|~sQ8_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f206,f226,f229,f187,f125])).
% 0.03/0.46 fof(f233,definition,(
% 0.03/0.46 sQ25_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f236,plain,(
% 0.03/0.46 ~sQ25_spl|~sQ19_spl|~sQ17_spl|~sQ12_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f207,f233,f211,f187,f165])).
% 0.03/0.46 fof(f242,plain,(
% 0.03/0.46 multiply(sk_c2,sk_c1)=identity|~sQ8_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f126,f48])).
% 0.03/0.46 fof(f244,plain,(
% 0.03/0.46 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.03/0.46 fof(f245,plain,(
% 0.03/0.46 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f47,f244])).
% 0.03/0.46 fof(f250,plain,(
% 0.03/0.46 ~multiply(sk_c1,sk_c9)=sk_c10|~sk_c2=sk_c9|~sQ16_spl|~sQ8_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f126,f185])).
% 0.03/0.46 fof(f251,plain,(
% 0.03/0.46 ~multiply(sk_c3,sk_c9)=sk_c10|~sk_c10=sk_c9|~sQ16_spl|~sQ12_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f166,f185])).
% 0.03/0.46 fof(f252,definition,(
% 0.03/0.46 sQ26_spl <=> (multiply(sk_c1,sk_c9)=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f254,plain,(
% 0.03/0.46 ~multiply(sk_c1,sk_c9)=sk_c10|sQ26_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f252])).
% 0.03/0.46 fof(f255,definition,(
% 0.03/0.46 sQ27_spl <=> (sk_c2=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f257,plain,(
% 0.03/0.46 ~sk_c2=sk_c9|sQ27_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f255])).
% 0.03/0.46 fof(f258,plain,(
% 0.03/0.46 ~sQ26_spl|~sQ27_spl|~sQ16_spl|~sQ8_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f250,f252,f255,f184,f125])).
% 0.03/0.46 fof(f259,definition,(
% 0.03/0.46 sQ28_spl <=> (multiply(sk_c3,sk_c9)=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f262,definition,(
% 0.03/0.46 sQ29_spl <=> (sk_c10=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f264,plain,(
% 0.03/0.46 ~sk_c10=sk_c9|sQ29_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f262])).
% 0.03/0.46 fof(f265,plain,(
% 0.03/0.46 ~sQ28_spl|~sQ29_spl|~sQ16_spl|~sQ12_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f251,f259,f262,f184,f165])).
% 0.03/0.46 fof(f267,plain,(
% 0.03/0.46 ~sk_c2=sk_c10|~multiply(sk_c1,sk_c9)=sk_c10|~sQ15_spl|~sQ8_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f126,f182])).
% 0.03/0.46 fof(f268,plain,(
% 0.03/0.46 ~sk_c10=sk_c10|~multiply(sk_c3,sk_c9)=sk_c10|~sQ15_spl|~sQ12_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f166,f182])).
% 0.03/0.46 fof(f269,definition,(
% 0.03/0.46 sQ30_spl <=> (sk_c2=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f270,plain,(
% 0.03/0.46 sk_c2=sk_c10|~sQ30_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f269])).
% 0.03/0.46 fof(f271,plain,(
% 0.03/0.46 ~sk_c2=sk_c10|sQ30_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f269])).
% 0.03/0.46 fof(f272,plain,(
% 0.03/0.46 ~sQ30_spl|~sQ26_spl|~sQ15_spl|~sQ8_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f267,f269,f252,f181,f125])).
% 0.03/0.46 fof(f273,definition,(
% 0.03/0.46 sQ31_spl <=> (sk_c10=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f275,plain,(
% 0.03/0.46 ~sk_c10=sk_c10|sQ31_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f273])).
% 0.03/0.46 fof(f276,plain,(
% 0.03/0.46 ~sQ31_spl|~sQ28_spl|~sQ15_spl|~sQ12_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f268,f273,f259,f181,f165])).
% 0.03/0.46 fof(f277,plain,(
% 0.03/0.46 $false|sQ31_spl),
% 0.03/0.46 inference(trivial_equality_resolution,[status(thm)],[f275])).
% 0.03/0.46 fof(f278,plain,(
% 0.03/0.46 sQ31_spl),
% 0.03/0.46 inference(contradiction_clause,[status(thm)],[f277])).
% 0.03/0.46 fof(f279,plain,(
% 0.03/0.46 ![X0]: (~multiply(sk_c10,multiply(X0,sk_c10))=sk_c9|~inverse(X0)=sk_c10|~sQ14_spl)),
% 0.03/0.46 inference(destructive_equality_resolution,[status(thm)],[f179])).
% 0.03/0.46 fof(f282,plain,(
% 0.03/0.46 ~multiply(sk_c7,sk_c8)=sk_c9|~sQ6_spl|sQ22_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f118,f224])).
% 0.03/0.46 fof(f284,plain,(
% 0.03/0.46 ~sk_c9=sk_c9|~sQ5_spl|~sQ6_spl|sQ22_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f114,f282])).
% 0.03/0.46 fof(f285,plain,(
% 0.03/0.46 $false|~sQ5_spl|~sQ6_spl|sQ22_spl),
% 0.03/0.46 inference(trivial_equality_resolution,[status(thm)],[f284])).
% 0.03/0.46 fof(f286,plain,(
% 0.03/0.46 ~sQ5_spl|~sQ6_spl|sQ22_spl),
% 0.03/0.46 inference(contradiction_clause,[status(thm)],[f285])).
% 0.03/0.46 fof(f292,plain,(
% 0.03/0.46 ~multiply(sk_c10,multiply(sk_c5,sk_c10))=sk_c9|~sk_c10=sk_c10|~sQ14_spl|~sQ1_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f98,f279])).
% 0.03/0.46 fof(f293,plain,(
% 0.03/0.46 multiply(sk_c10,sk_c5)=identity|~sQ1_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f98,f48])).
% 0.03/0.46 fof(f294,definition,(
% 0.03/0.46 sQ32_spl <=> (multiply(sk_c10,multiply(sk_c5,sk_c10))=sk_c9)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f296,plain,(
% 0.03/0.46 ~multiply(sk_c10,multiply(sk_c5,sk_c10))=sk_c9|sQ32_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f294])).
% 0.03/0.46 fof(f297,plain,(
% 0.03/0.46 ~sQ32_spl|~sQ31_spl|~sQ14_spl|~sQ1_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f292,f294,f273,f178,f97])).
% 0.03/0.46 fof(f298,plain,(
% 0.03/0.46 ![X0]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~sQ13_spl)),
% 0.03/0.46 inference(destructive_equality_resolution,[status(thm)],[f176])).
% 0.03/0.46 fof(f299,plain,(
% 0.03/0.46 multiply(sk_c9,sk_c6)=identity|~sQ4_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f110,f48])).
% 0.03/0.46 fof(f306,plain,(
% 0.03/0.46 ~multiply(sk_c9,inverse(sk_c9))=sk_c10|~identity=sk_c10|~sQ13_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f48,f298])).
% 0.03/0.46 fof(f308,plain,(
% 0.03/0.46 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|~multiply(sk_c2,sk_c9)=sk_c10|~sQ13_spl|~sQ8_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f126,f298])).
% 0.03/0.46 fof(f310,definition,(
% 0.03/0.46 sQ33_spl <=> (multiply(sk_c9,inverse(sk_c9))=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f312,plain,(
% 0.03/0.46 ~multiply(sk_c9,inverse(sk_c9))=sk_c10|sQ33_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f310])).
% 0.03/0.46 fof(f313,definition,(
% 0.03/0.46 sQ34_spl <=> (identity=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f315,plain,(
% 0.03/0.46 ~identity=sk_c10|sQ34_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f313])).
% 0.03/0.46 fof(f316,plain,(
% 0.03/0.46 ~sQ33_spl|~sQ34_spl|~sQ13_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f306,f310,f313,f175])).
% 0.03/0.46 fof(f324,definition,(
% 0.03/0.46 sQ37_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c10)),
% 0.03/0.46 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.03/0.46 fof(f326,plain,(
% 0.03/0.46 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|sQ37_spl),
% 0.03/0.46 inference(component_clause,[status(thm)],[f324])).
% 0.03/0.46 fof(f327,plain,(
% 0.03/0.46 ~sQ37_spl|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.03/0.46 inference(split_clause,[status(thm)],[f308,f324,f135,f175,f125])).
% 0.03/0.46 fof(f339,plain,(
% 0.03/0.46 ~multiply(sk_c1,sk_c2)=sk_c10|~sQ8_spl|sQ37_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f126,f326])).
% 0.03/0.46 fof(f340,plain,(
% 0.03/0.46 ~sk_c10=sk_c10|~sQ0_spl|~sQ8_spl|sQ37_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f95,f339])).
% 0.03/0.46 fof(f341,plain,(
% 0.03/0.46 $false|~sQ0_spl|~sQ8_spl|sQ37_spl),
% 0.03/0.46 inference(trivial_equality_resolution,[status(thm)],[f340])).
% 0.03/0.46 fof(f342,plain,(
% 0.03/0.46 ~sQ0_spl|~sQ8_spl|sQ37_spl),
% 0.03/0.46 inference(contradiction_clause,[status(thm)],[f341])).
% 0.03/0.46 fof(f352,plain,(
% 0.03/0.46 multiply(sk_c8,sk_c7)=identity|~sQ6_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f118,f48])).
% 0.03/0.46 fof(f354,plain,(
% 0.03/0.46 ![X0]: (multiply(identity,X0)=multiply(sk_c10,multiply(sk_c5,X0))|~sQ1_spl)),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f293,f49])).
% 0.03/0.46 fof(f355,plain,(
% 0.03/0.46 ~sk_c10=sk_c9|~sQ1_spl|sQ32_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f356,f296])).
% 0.03/0.46 fof(f356,plain,(
% 0.03/0.46 ![X0]: (X0=multiply(sk_c10,multiply(sk_c5,X0))|~sQ1_spl)),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f47,f354])).
% 0.03/0.46 fof(f361,plain,(
% 0.03/0.46 ~multiply(sk_c6,sk_c9)=sk_c10|~sQ16_spl|~sQ4_spl),
% 0.03/0.46 inference(resolution,[status(thm)],[f185,f110])).
% 0.03/0.46 fof(f366,plain,(
% 0.03/0.46 ~sk_c10=sk_c10|~sQ3_spl|~sQ16_spl|~sQ4_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f106,f361])).
% 0.03/0.46 fof(f367,plain,(
% 0.03/0.46 $false|~sQ3_spl|~sQ16_spl|~sQ4_spl),
% 0.03/0.46 inference(trivial_equality_resolution,[status(thm)],[f366])).
% 0.03/0.46 fof(f368,plain,(
% 0.03/0.46 ~sQ3_spl|~sQ16_spl|~sQ4_spl),
% 0.03/0.46 inference(contradiction_clause,[status(thm)],[f367])).
% 0.03/0.46 fof(f369,plain,(
% 0.03/0.46 ~multiply(sk_c5,sk_c9)=sk_c10|~sQ15_spl|~sQ1_spl),
% 0.03/0.46 inference(resolution,[status(thm)],[f182,f98])).
% 0.03/0.46 fof(f373,plain,(
% 0.03/0.46 ~sk_c10=sk_c10|~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f102,f369])).
% 0.03/0.46 fof(f374,plain,(
% 0.03/0.46 $false|~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.03/0.46 inference(trivial_equality_resolution,[status(thm)],[f373])).
% 0.03/0.46 fof(f375,plain,(
% 0.03/0.46 ~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.03/0.46 inference(contradiction_clause,[status(thm)],[f374])).
% 0.03/0.46 fof(f400,plain,(
% 0.03/0.46 sk_c6=multiply(inverse(sk_c9),identity)|~sQ4_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f299,f245])).
% 0.03/0.46 fof(f401,plain,(
% 0.03/0.46 sk_c7=multiply(inverse(sk_c8),identity)|~sQ6_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f352,f245])).
% 0.03/0.46 fof(f403,plain,(
% 0.03/0.46 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f245,f245])).
% 0.03/0.46 fof(f404,plain,(
% 0.03/0.46 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f48,f245])).
% 0.03/0.46 fof(f407,plain,(
% 0.03/0.46 sk_c9=multiply(inverse(sk_c5),sk_c10)|~sQ2_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f102,f245])).
% 0.03/0.46 fof(f408,plain,(
% 0.03/0.46 sk_c9=multiply(inverse(sk_c6),sk_c10)|~sQ3_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f106,f245])).
% 0.03/0.46 fof(f410,plain,(
% 0.03/0.46 sk_c2=multiply(inverse(sk_c1),sk_c10)|~sQ0_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f95,f245])).
% 0.03/0.46 fof(f413,plain,(
% 0.03/0.46 sk_c7=inverse(sk_c8)|~sQ6_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f415,f401])).
% 0.03/0.46 fof(f414,plain,(
% 0.03/0.46 sk_c6=inverse(sk_c9)|~sQ4_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f415,f400])).
% 0.03/0.46 fof(f415,plain,(
% 0.03/0.46 ![X0]: (X0=multiply(X0,identity))),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f403,f404])).
% 0.03/0.46 fof(f416,plain,(
% 0.03/0.46 sk_c9=multiply(sk_c10,sk_c10)|~sQ1_spl|~sQ2_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f98,f407])).
% 0.03/0.46 fof(f417,plain,(
% 0.03/0.46 sk_c9=multiply(sk_c9,sk_c10)|~sQ4_spl|~sQ3_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f110,f408])).
% 0.03/0.46 fof(f422,plain,(
% 0.03/0.46 ~multiply(sk_c9,sk_c6)=sk_c10|~sQ4_spl|sQ33_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f414,f312])).
% 0.03/0.46 fof(f423,plain,(
% 0.03/0.46 ~identity=sk_c10|~sQ4_spl|sQ33_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f299,f422])).
% 0.03/0.46 fof(f424,plain,(
% 0.03/0.46 inverse(identity)=identity),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f48,f415])).
% 0.03/0.46 fof(f442,plain,(
% 0.03/0.46 ![X0]: (X0=multiply(sk_c7,multiply(sk_c8,X0))|~sQ6_spl)),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f413,f245])).
% 0.03/0.46 fof(f444,plain,(
% 0.03/0.46 multiply(sk_c7,sk_c8)=identity|~sQ6_spl),
% 0.03/0.46 inference(paramodulation,[status(thm)],[f413,f48])).
% 0.03/0.46 fof(f445,plain,(
% 0.03/0.46 ![X0]: (multiply(sk_c9,X0)=X0|~sQ6_spl|~sQ5_spl)),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f442,f195])).
% 0.03/0.46 fof(f453,plain,(
% 0.03/0.46 identity=sk_c9|~sQ6_spl|~sQ5_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f444,f114])).
% 0.03/0.46 fof(f455,plain,(
% 0.03/0.46 sk_c6=identity|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f445,f299])).
% 0.03/0.46 fof(f456,plain,(
% 0.03/0.46 sk_c9=sk_c10|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f445,f417])).
% 0.03/0.46 fof(f459,plain,(
% 0.03/0.46 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c6,X0)|~sQ6_spl|~sQ5_spl|~sQ3_spl)),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f445,f194])).
% 0.03/0.46 fof(f460,plain,(
% 0.03/0.46 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c5,X0)|~sQ6_spl|~sQ5_spl|~sQ2_spl)),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f445,f193])).
% 0.03/0.46 fof(f463,plain,(
% 0.03/0.46 ~sk_c10=identity|~sQ6_spl|~sQ5_spl|~sQ1_spl|sQ32_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f453,f355])).
% 0.03/0.46 fof(f466,plain,(
% 0.03/0.46 multiply(sk_c5,identity)=sk_c10|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f453,f102])).
% 0.03/0.46 fof(f467,plain,(
% 0.03/0.46 multiply(sk_c6,identity)=sk_c10|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f453,f106])).
% 0.03/0.46 fof(f472,plain,(
% 0.03/0.46 identity=multiply(sk_c10,sk_c10)|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.03/0.46 inference(backward_demodulation,[status(thm)],[f453,f416])).
% 0.03/0.46 fof(f474,plain,(
% 0.03/0.46 identity=sk_c10|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f453,f456])).
% 0.03/0.46 fof(f475,plain,(
% 0.03/0.46 $false|sQ33_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.03/0.46 inference(forward_subsumption_resolution,[status(thm)],[f474,f423])).
% 0.03/0.46 fof(f476,plain,(
% 0.03/0.46 sQ33_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.03/0.46 inference(contradiction_clause,[status(thm)],[f475])).
% 0.03/0.46 fof(f478,plain,(
% 0.03/0.46 ![X0]: (multiply(sk_c10,X0)=multiply(identity,X0)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl)),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f455,f459])).
% 0.03/0.46 fof(f484,plain,(
% 0.03/0.46 ![X0]: (multiply(sk_c10,X0)=X0|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl)),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f47,f478])).
% 0.03/0.46 fof(f486,plain,(
% 0.03/0.46 ![X0]: (X0=multiply(sk_c5,X0)|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl)),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f484,f460])).
% 0.03/0.46 fof(f500,plain,(
% 0.03/0.46 sk_c5=sk_c10|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f415,f466])).
% 0.03/0.46 fof(f501,plain,(
% 0.03/0.46 sk_c6=sk_c10|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.03/0.46 inference(forward_demodulation,[status(thm)],[f415,f467])).
% 0.03/0.47 fof(f502,plain,(
% 0.03/0.47 identity=sk_c10|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f455,f501])).
% 0.03/0.47 fof(f503,plain,(
% 0.03/0.47 $false|~sQ1_spl|sQ32_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.03/0.47 inference(forward_subsumption_resolution,[status(thm)],[f502,f463])).
% 0.03/0.47 fof(f504,plain,(
% 0.03/0.47 ~sQ1_spl|sQ32_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.03/0.47 inference(contradiction_clause,[status(thm)],[f503])).
% 0.03/0.47 fof(f514,plain,(
% 0.03/0.47 identity=multiply(sk_c5,sk_c10)|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f500,f472])).
% 0.03/0.47 fof(f516,plain,(
% 0.03/0.47 identity=sk_c10|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f486,f514])).
% 0.03/0.47 fof(f517,plain,(
% 0.03/0.47 ~identity=identity|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|sQ34_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f516,f315])).
% 0.03/0.47 fof(f518,plain,(
% 0.03/0.47 $false|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|sQ34_spl),
% 0.03/0.47 inference(trivial_equality_resolution,[status(thm)],[f517])).
% 0.03/0.47 fof(f519,plain,(
% 0.03/0.47 ~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|sQ34_spl),
% 0.03/0.47 inference(contradiction_clause,[status(thm)],[f518])).
% 0.03/0.47 fof(f526,plain,(
% 0.03/0.47 ~multiply(sk_c1,sk_c2)=sk_c9|~sQ8_spl|sQ23_spl),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f126,f228])).
% 0.03/0.47 fof(f527,plain,(
% 0.03/0.47 ~sk_c2=sk_c9|~sQ8_spl|~sQ0_spl|sQ24_spl),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f528,f231])).
% 0.03/0.47 fof(f528,plain,(
% 0.03/0.47 sk_c2=multiply(sk_c2,sk_c10)|~sQ8_spl|~sQ0_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f126,f410])).
% 0.03/0.47 fof(f532,plain,(
% 0.03/0.47 ~sk_c10=sk_c9|~sQ0_spl|~sQ8_spl|sQ23_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f95,f526])).
% 0.03/0.47 fof(f535,plain,(
% 0.03/0.47 sk_c10=multiply(inverse(sk_c3),sk_c4)|~sQ11_spl),
% 0.03/0.47 inference(paramodulation,[status(thm)],[f156,f245])).
% 0.03/0.47 fof(f537,plain,(
% 0.03/0.47 sk_c10=multiply(sk_c10,sk_c4)|~sQ12_spl|~sQ11_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f166,f535])).
% 0.03/0.47 fof(f538,plain,(
% 0.03/0.47 sk_c10=sk_c9|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f146,f537])).
% 0.03/0.47 fof(f539,plain,(
% 0.03/0.47 $false|sQ29_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.03/0.47 inference(forward_subsumption_resolution,[status(thm)],[f538,f264])).
% 0.03/0.47 fof(f540,plain,(
% 0.03/0.47 sQ29_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.03/0.47 inference(contradiction_clause,[status(thm)],[f539])).
% 0.03/0.47 fof(f555,plain,(
% 0.03/0.47 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c1,multiply(sk_c2,X0))|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl)),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f538,f197])).
% 0.03/0.47 fof(f556,plain,(
% 0.03/0.47 sk_c2=multiply(sk_c2,sk_c9)|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ0_spl),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f538,f528])).
% 0.03/0.47 fof(f557,plain,(
% 0.03/0.47 multiply(sk_c1,sk_c2)=sk_c9|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f538,f95])).
% 0.03/0.47 fof(f563,plain,(
% 0.03/0.47 multiply(sk_c2,sk_c9)=sk_c9|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f538,f136])).
% 0.03/0.47 fof(f565,plain,(
% 0.03/0.47 ~sk_c2=sk_c9|~sQ10_spl|~sQ12_spl|~sQ11_spl|sQ30_spl),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f538,f271])).
% 0.03/0.47 fof(f569,plain,(
% 0.03/0.47 ~multiply(sk_c1,sk_c9)=sk_c9|~sQ10_spl|~sQ12_spl|~sQ11_spl|sQ26_spl),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f538,f254])).
% 0.03/0.47 fof(f576,plain,(
% 0.03/0.47 ~sQ29_spl|~sQ0_spl|~sQ8_spl|sQ23_spl),
% 0.03/0.47 inference(split_clause,[status(thm)],[f532,f262,f94,f125,f226])).
% 0.03/0.47 fof(f585,plain,(
% 0.03/0.47 sk_c2=sk_c9|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f556,f563])).
% 0.03/0.47 fof(f586,plain,(
% 0.03/0.47 $false|sQ27_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl),
% 0.03/0.47 inference(forward_subsumption_resolution,[status(thm)],[f585,f257])).
% 0.03/0.47 fof(f587,plain,(
% 0.03/0.47 sQ27_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl),
% 0.03/0.47 inference(contradiction_clause,[status(thm)],[f586])).
% 0.03/0.47 fof(f588,plain,(
% 0.03/0.47 ~sQ27_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|sQ30_spl),
% 0.03/0.47 inference(split_clause,[status(thm)],[f565,f255,f145,f165,f155,f269])).
% 0.03/0.47 fof(f603,plain,(
% 0.03/0.47 ~multiply(sk_c1,sk_c9)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|sQ26_spl),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f585,f569])).
% 0.03/0.47 fof(f610,plain,(
% 0.03/0.47 multiply(sk_c1,sk_c2)=sk_c2|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f585,f557])).
% 0.03/0.47 fof(f612,plain,(
% 0.03/0.47 ![X0]: (multiply(sk_c2,X0)=multiply(sk_c1,multiply(sk_c2,X0))|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl)),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f585,f555])).
% 0.03/0.47 fof(f624,plain,(
% 0.03/0.47 ~sQ27_spl|~sQ8_spl|~sQ0_spl|sQ24_spl),
% 0.03/0.47 inference(split_clause,[status(thm)],[f527,f255,f125,f94,f229])).
% 0.03/0.47 fof(f629,plain,(
% 0.03/0.47 ~multiply(sk_c1,sk_c2)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|sQ26_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f585,f603])).
% 0.03/0.47 fof(f630,plain,(
% 0.03/0.47 ~sk_c9=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|sQ26_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f557,f629])).
% 0.03/0.47 fof(f631,plain,(
% 0.03/0.47 ~sk_c2=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|sQ26_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f585,f630])).
% 0.03/0.47 fof(f632,plain,(
% 0.03/0.47 $false|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|sQ26_spl),
% 0.03/0.47 inference(trivial_equality_resolution,[status(thm)],[f631])).
% 0.03/0.47 fof(f633,plain,(
% 0.03/0.47 ~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|sQ26_spl),
% 0.03/0.47 inference(contradiction_clause,[status(thm)],[f632])).
% 0.03/0.47 fof(f657,plain,(
% 0.03/0.47 ![X0]: (~multiply(sk_c2,multiply(X0,sk_c10))=sk_c9|~inverse(X0)=sk_c10|~sQ30_spl|~sQ14_spl)),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f270,f279])).
% 0.03/0.47 fof(f658,plain,(
% 0.03/0.47 ![X0]: (~multiply(sk_c2,multiply(X0,sk_c2))=sk_c9|~inverse(X0)=sk_c10|~sQ30_spl|~sQ14_spl)),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f270,f657])).
% 0.03/0.47 fof(f659,plain,(
% 0.03/0.47 ![X0]: (~multiply(sk_c2,multiply(X0,sk_c2))=sk_c2|~inverse(X0)=sk_c10|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ30_spl|~sQ14_spl)),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f585,f658])).
% 0.03/0.47 fof(f660,plain,(
% 0.03/0.47 ![X0]: (~multiply(sk_c2,multiply(X0,sk_c2))=sk_c2|~inverse(X0)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ30_spl|~sQ14_spl)),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f270,f659])).
% 0.03/0.47 fof(f689,plain,(
% 0.03/0.47 sk_c1=multiply(inverse(sk_c2),identity)|~sQ8_spl),
% 0.03/0.47 inference(paramodulation,[status(thm)],[f242,f245])).
% 0.03/0.47 fof(f692,plain,(
% 0.03/0.47 sk_c1=inverse(sk_c2)|~sQ8_spl),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f415,f689])).
% 0.03/0.47 fof(f695,plain,(
% 0.03/0.47 ![X0]: (X0=multiply(sk_c1,multiply(sk_c2,X0))|~sQ8_spl)),
% 0.03/0.47 inference(paramodulation,[status(thm)],[f692,f245])).
% 0.03/0.47 fof(f696,plain,(
% 0.03/0.47 multiply(sk_c1,sk_c2)=identity|~sQ8_spl),
% 0.03/0.47 inference(paramodulation,[status(thm)],[f692,f48])).
% 0.03/0.47 fof(f697,plain,(
% 0.03/0.47 ![X0]: (multiply(sk_c2,X0)=X0|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl)),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f695,f612])).
% 0.03/0.47 fof(f698,plain,(
% 0.03/0.47 identity=sk_c2|~sQ8_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f696,f610])).
% 0.03/0.47 fof(f705,plain,(
% 0.03/0.47 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ30_spl|~sQ14_spl)),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f697,f660])).
% 0.03/0.47 fof(f731,plain,(
% 0.03/0.47 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=identity|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ30_spl|~sQ14_spl)),
% 0.03/0.47 inference(backward_demodulation,[status(thm)],[f698,f705])).
% 0.03/0.47 fof(f755,plain,(
% 0.03/0.47 ![X0]: (~multiply(X0,identity)=sk_c2|~inverse(X0)=identity|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ30_spl|~sQ14_spl)),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f698,f731])).
% 0.03/0.47 fof(f756,plain,(
% 0.03/0.47 ![X0]: (~X0=sk_c2|~inverse(X0)=identity|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ30_spl|~sQ14_spl)),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f415,f755])).
% 0.03/0.47 fof(f757,plain,(
% 0.03/0.47 ![X0]: (~X0=identity|~inverse(X0)=identity|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ30_spl|~sQ14_spl)),
% 0.03/0.47 inference(forward_demodulation,[status(thm)],[f698,f756])).
% 0.03/0.47 fof(f758,plain,(
% 0.03/0.47 ~inverse(identity)=identity|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ30_spl|~sQ14_spl),
% 0.03/0.47 inference(destructive_equality_resolution,[status(thm)],[f757])).
% 0.03/0.47 fof(f759,plain,(
% 0.03/0.47 $false|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ30_spl|~sQ14_spl),
% 0.03/0.47 inference(forward_subsumption_resolution,[status(thm)],[f758,f424])).
% 0.03/0.47 fof(f760,plain,(
% 0.03/0.47 ~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|~sQ30_spl|~sQ14_spl),
% 0.03/0.47 inference(contradiction_clause,[status(thm)],[f759])).
% 0.03/0.47 fof(f761,plain,(
% 0.03/0.47 $false),
% 0.03/0.47 inference(sat_refutation,[status(thm)],[f100,f104,f108,f112,f116,f120,f124,f128,f129,f130,f131,f132,f133,f134,f138,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f154,f158,f159,f160,f161,f162,f163,f164,f168,f169,f170,f171,f172,f173,f174,f190,f225,f232,f236,f258,f265,f272,f276,f278,f286,f297,f316,f327,f342,f368,f375,f476,f504,f519,f540,f576,f587,f588,f624,f633,f760])).
% 0.03/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.50 % Elapsed time: 0.126445 seconds
% 0.03/0.50 % CPU time: 0.676487 seconds
% 0.03/0.50 % Total memory used: 112.258 MB
% 0.03/0.50 % Net memory used: 111.920 MB
%------------------------------------------------------------------------------