%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP248-1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:19 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP248-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n013.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 20 20:06:51 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.42 fof(f1,axiom,(
% 0.14/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f2,axiom,(
% 0.14/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f3,axiom,(
% 0.14/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f4,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f5,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f6,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f7,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f8,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f9,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f10,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f11,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f12,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f13,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f14,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f15,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f16,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f17,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f18,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f19,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f20,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f21,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f22,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f23,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f24,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f25,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f26,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f27,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f28,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f29,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f30,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f31,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c2) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f32,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f33,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f34,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f35,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f36,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f37,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c3) = sk_c10| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f38,negated_conjecture,(
% 0.14/0.42 ( inverse(sk_c3) = sk_c10| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f39,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c3,sk_c8) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f40,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c3,sk_c8) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f41,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c3,sk_c8) = sk_c10| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f42,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c3,sk_c8) = sk_c10| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f43,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c3,sk_c8) = sk_c10| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f44,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c3,sk_c8) = sk_c10| inverse(sk_c6) = sk_c7 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f45,negated_conjecture,(
% 0.14/0.42 ( multiply(sk_c3,sk_c8) = sk_c10| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f46,negated_conjecture,(
% 0.14/0.42 (![X4,X5,X6,X1,X2,X7,X3]: (( multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| multiply(X5,sk_c9) != sk_c8| inverse(X5) != sk_c9| inverse(X6) != sk_c10| multiply(X6,sk_c8) != sk_c10| inverse(X1) != sk_c10| multiply(X1,sk_c9) != sk_c10| inverse(X2) != sk_c9| multiply(X2,sk_c8) != sk_c9| multiply(X7,X3) != sk_c9| inverse(X7) != X3| multiply(X3,sk_c8) != sk_c9 ) ))),
% 0.14/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f47,plain,(
% 0.14/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.42 fof(f48,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.42 fof(f49,plain,(
% 0.14/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.42 fof(f50,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.42 fof(f51,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c4,sk_c9)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.42 fof(f52,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.42 fof(f53,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.42 fof(f54,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c6,sk_c7)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.42 fof(f55,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.42 fof(f56,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.42 fof(f57,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.42 fof(f58,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.42 fof(f59,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.42 fof(f60,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.42 fof(f61,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c6,sk_c7)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.42 fof(f62,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.42 fof(f63,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c7,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.42 fof(f64,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c4)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.42 fof(f65,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c4,sk_c9)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.42 fof(f66,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c5)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.42 fof(f67,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.42 fof(f68,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c6,sk_c7)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.42 fof(f69,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.42 fof(f70,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c7,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.42 fof(f71,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.42 fof(f72,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c9)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.42 fof(f73,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.42 fof(f74,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.42 fof(f75,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c7)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.42 fof(f76,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.42 fof(f77,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.42 fof(f78,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.42 fof(f79,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.42 fof(f80,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c10|inverse(sk_c5)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.42 fof(f81,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c10|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.42 fof(f82,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c10|multiply(sk_c6,sk_c7)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.42 fof(f83,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c10|inverse(sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.42 fof(f84,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c10|multiply(sk_c7,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.42 fof(f85,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c8)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.42 fof(f86,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c8)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.42 fof(f87,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c8)=sk_c10|inverse(sk_c5)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.42 fof(f88,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c8)=sk_c10|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.42 fof(f89,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c8)=sk_c10|multiply(sk_c6,sk_c7)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f43])).
% 0.14/0.42 fof(f90,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c8)=sk_c10|inverse(sk_c6)=sk_c7),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.42 fof(f91,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c8)=sk_c10|multiply(sk_c7,sk_c8)=sk_c9),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f45])).
% 0.14/0.42 fof(f92,plain,(
% 0.14/0.42 ![X3]: ((![X7]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10))|~multiply(X5,sk_c9)=sk_c8)|~inverse(X5)=sk_c9))|~inverse(X6)=sk_c10)|~multiply(X6,sk_c8)=sk_c10))|~inverse(X1)=sk_c10)|~multiply(X1,sk_c9)=sk_c10))|~inverse(X2)=sk_c9)|~multiply(X2,sk_c8)=sk_c9))|~multiply(X7,X3)=sk_c9)|~inverse(X7)=X3))|~multiply(X3,sk_c8)=sk_c9)),
% 0.14/0.42 inference(miniscoping,[status(thm)],[f46])).
% 0.14/0.42 fof(f93,plain,(
% 0.14/0.42 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9|~inverse(X2)=sk_c10|~multiply(X2,sk_c8)=sk_c10|~inverse(X3)=sk_c10|~multiply(X3,sk_c9)=sk_c10|~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9|~multiply(X5,X6)=sk_c9|~inverse(X5)=X6|~multiply(X6,sk_c8)=sk_c9)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f92])).
% 0.14/0.42 fof(f94,definition,(
% 0.14/0.42 sQ0_spl <=> (multiply(sk_c1,sk_c10)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f95,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c10)=sk_c9|~sQ0_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f94])).
% 0.14/0.42 fof(f97,definition,(
% 0.14/0.42 sQ1_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f98,plain,(
% 0.14/0.42 inverse(sk_c4)=sk_c10|~sQ1_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.42 fof(f100,plain,(
% 0.14/0.42 sQ0_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.14/0.42 fof(f101,definition,(
% 0.14/0.42 sQ2_spl <=> (multiply(sk_c4,sk_c9)=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f102,plain,(
% 0.14/0.42 multiply(sk_c4,sk_c9)=sk_c10|~sQ2_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.42 fof(f104,plain,(
% 0.14/0.42 sQ0_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.14/0.42 fof(f105,definition,(
% 0.14/0.42 sQ3_spl <=> (inverse(sk_c5)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f106,plain,(
% 0.14/0.42 inverse(sk_c5)=sk_c9|~sQ3_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.42 fof(f108,plain,(
% 0.14/0.42 sQ0_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.14/0.42 fof(f109,definition,(
% 0.14/0.42 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f110,plain,(
% 0.14/0.42 multiply(sk_c5,sk_c8)=sk_c9|~sQ4_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.42 fof(f112,plain,(
% 0.14/0.42 sQ0_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.14/0.42 fof(f113,definition,(
% 0.14/0.42 sQ5_spl <=> (multiply(sk_c6,sk_c7)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f114,plain,(
% 0.14/0.42 multiply(sk_c6,sk_c7)=sk_c9|~sQ5_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f113])).
% 0.14/0.42 fof(f116,plain,(
% 0.14/0.42 sQ0_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f54,f94,f113])).
% 0.14/0.42 fof(f117,definition,(
% 0.14/0.42 sQ6_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f118,plain,(
% 0.14/0.42 inverse(sk_c6)=sk_c7|~sQ6_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.42 fof(f120,plain,(
% 0.14/0.42 sQ0_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f55,f94,f117])).
% 0.14/0.42 fof(f121,definition,(
% 0.14/0.42 sQ7_spl <=> (multiply(sk_c7,sk_c8)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f122,plain,(
% 0.14/0.42 multiply(sk_c7,sk_c8)=sk_c9|~sQ7_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.42 fof(f124,plain,(
% 0.14/0.42 sQ0_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f56,f94,f121])).
% 0.14/0.42 fof(f125,definition,(
% 0.14/0.42 sQ8_spl <=> (inverse(sk_c1)=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f126,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c10|~sQ8_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.42 fof(f128,plain,(
% 0.14/0.42 sQ8_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.14/0.42 fof(f129,plain,(
% 0.14/0.42 sQ8_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.14/0.42 fof(f130,plain,(
% 0.14/0.42 sQ8_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.14/0.42 fof(f131,plain,(
% 0.14/0.42 sQ8_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.14/0.42 fof(f132,plain,(
% 0.14/0.42 sQ8_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.14/0.42 fof(f133,plain,(
% 0.14/0.42 sQ8_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.14/0.42 fof(f134,plain,(
% 0.14/0.42 sQ8_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.14/0.42 fof(f135,definition,(
% 0.14/0.42 sQ9_spl <=> (multiply(sk_c2,sk_c9)=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f136,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c9)=sk_c8|~sQ9_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f135])).
% 0.14/0.42 fof(f138,plain,(
% 0.14/0.42 sQ9_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f64,f135,f97])).
% 0.14/0.42 fof(f139,plain,(
% 0.14/0.42 sQ9_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f65,f135,f101])).
% 0.14/0.42 fof(f140,plain,(
% 0.14/0.42 sQ9_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.14/0.42 fof(f141,plain,(
% 0.14/0.42 sQ9_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.14/0.42 fof(f142,plain,(
% 0.14/0.42 sQ9_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.14/0.42 fof(f143,plain,(
% 0.14/0.42 sQ9_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.14/0.42 fof(f144,plain,(
% 0.14/0.42 sQ9_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.14/0.42 fof(f145,definition,(
% 0.14/0.42 sQ10_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f146,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c9|~sQ10_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f145])).
% 0.14/0.42 fof(f148,plain,(
% 0.14/0.42 sQ10_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f71,f145,f97])).
% 0.14/0.42 fof(f149,plain,(
% 0.14/0.42 sQ10_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f72,f145,f101])).
% 0.14/0.42 fof(f150,plain,(
% 0.14/0.42 sQ10_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.14/0.42 fof(f151,plain,(
% 0.14/0.42 sQ10_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.14/0.42 fof(f152,plain,(
% 0.14/0.42 sQ10_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.14/0.42 fof(f153,plain,(
% 0.14/0.42 sQ10_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.14/0.42 fof(f154,plain,(
% 0.14/0.42 sQ10_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.14/0.42 fof(f155,definition,(
% 0.14/0.42 sQ11_spl <=> (inverse(sk_c3)=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f156,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c10|~sQ11_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f155])).
% 0.14/0.42 fof(f158,plain,(
% 0.14/0.42 sQ11_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f78,f155,f97])).
% 0.14/0.42 fof(f159,plain,(
% 0.14/0.42 sQ11_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f79,f155,f101])).
% 0.14/0.42 fof(f160,plain,(
% 0.14/0.42 sQ11_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f80,f155,f105])).
% 0.14/0.42 fof(f161,plain,(
% 0.14/0.42 sQ11_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f81,f155,f109])).
% 0.14/0.42 fof(f162,plain,(
% 0.14/0.42 sQ11_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f82,f155,f113])).
% 0.14/0.42 fof(f163,plain,(
% 0.14/0.42 sQ11_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f83,f155,f117])).
% 0.14/0.42 fof(f164,plain,(
% 0.14/0.42 sQ11_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f84,f155,f121])).
% 0.14/0.42 fof(f165,definition,(
% 0.14/0.42 sQ12_spl <=> (multiply(sk_c3,sk_c8)=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f166,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c8)=sk_c10|~sQ12_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f165])).
% 0.14/0.42 fof(f168,plain,(
% 0.14/0.42 sQ12_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f85,f165,f97])).
% 0.14/0.42 fof(f169,plain,(
% 0.14/0.42 sQ12_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f86,f165,f101])).
% 0.14/0.42 fof(f170,plain,(
% 0.14/0.42 sQ12_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f87,f165,f105])).
% 0.14/0.42 fof(f171,plain,(
% 0.14/0.42 sQ12_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f88,f165,f109])).
% 0.14/0.42 fof(f172,plain,(
% 0.14/0.42 sQ12_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f89,f165,f113])).
% 0.14/0.42 fof(f173,plain,(
% 0.14/0.42 sQ12_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f90,f165,f117])).
% 0.14/0.42 fof(f174,plain,(
% 0.14/0.42 sQ12_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f91,f165,f121])).
% 0.14/0.42 fof(f175,definition,(
% 0.14/0.42 ![X0]: (sQ13_spl <=> (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f176,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ13_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f175])).
% 0.14/0.42 fof(f178,definition,(
% 0.14/0.42 ![X1]: (sQ14_spl <=> (~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f179,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f178])).
% 0.14/0.42 fof(f181,definition,(
% 0.14/0.42 ![X2]: (sQ15_spl <=> (~inverse(X2)=sk_c10|~multiply(X2,sk_c8)=sk_c10))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f182,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c8)=sk_c10|~sQ15_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f181])).
% 0.14/0.42 fof(f184,definition,(
% 0.14/0.42 ![X3]: (sQ16_spl <=> (~inverse(X3)=sk_c10|~multiply(X3,sk_c9)=sk_c10))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f185,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~sQ16_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f184])).
% 0.14/0.42 fof(f187,definition,(
% 0.14/0.42 ![X4]: (sQ17_spl <=> (~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f188,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ17_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f187])).
% 0.14/0.42 fof(f190,definition,(
% 0.14/0.42 ![X5,X6]: (sQ18_spl <=> (~multiply(X5,X6)=sk_c9|~inverse(X5)=X6|~multiply(X6,sk_c8)=sk_c9))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f191,plain,(
% 0.14/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c9|~sQ18_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f190])).
% 0.14/0.42 fof(f193,plain,(
% 0.14/0.42 sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl|sQ17_spl|sQ18_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f93,f175,f178,f181,f184,f187,f190])).
% 0.14/0.42 fof(f194,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c8)=sk_c9|~sQ18_spl)),
% 0.14/0.42 inference(destructive_equality_resolution,[status(thm)],[f191])).
% 0.14/0.42 fof(f198,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ5_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f114,f49])).
% 0.14/0.42 fof(f211,plain,(
% 0.14/0.42 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|~multiply(sk_c10,sk_c8)=sk_c9|~sQ18_spl|~sQ1_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f98,f194])).
% 0.14/0.42 fof(f212,plain,(
% 0.14/0.42 ~multiply(sk_c5,inverse(sk_c5))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ18_spl|~sQ3_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f106,f194])).
% 0.14/0.42 fof(f213,plain,(
% 0.14/0.42 ~multiply(sk_c6,inverse(sk_c6))=sk_c9|~multiply(sk_c7,sk_c8)=sk_c9|~sQ18_spl|~sQ6_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f118,f194])).
% 0.14/0.42 fof(f214,plain,(
% 0.14/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|~multiply(sk_c10,sk_c8)=sk_c9|~sQ18_spl|~sQ8_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f126,f194])).
% 0.14/0.42 fof(f215,plain,(
% 0.14/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ18_spl|~sQ10_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f146,f194])).
% 0.14/0.42 fof(f217,definition,(
% 0.14/0.42 sQ19_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f220,definition,(
% 0.14/0.42 sQ20_spl <=> (multiply(sk_c10,sk_c8)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f223,plain,(
% 0.14/0.42 ~sQ19_spl|~sQ20_spl|~sQ18_spl|~sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f211,f217,f220,f190,f97])).
% 0.14/0.42 fof(f224,definition,(
% 0.14/0.42 sQ21_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f227,definition,(
% 0.14/0.42 sQ22_spl <=> (multiply(sk_c9,sk_c8)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f229,plain,(
% 0.14/0.42 ~multiply(sk_c9,sk_c8)=sk_c9|sQ22_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f227])).
% 0.14/0.42 fof(f230,plain,(
% 0.14/0.42 ~sQ21_spl|~sQ22_spl|~sQ18_spl|~sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f212,f224,f227,f190,f105])).
% 0.14/0.42 fof(f231,definition,(
% 0.14/0.42 sQ23_spl <=> (multiply(sk_c6,inverse(sk_c6))=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f233,plain,(
% 0.14/0.42 ~multiply(sk_c6,inverse(sk_c6))=sk_c9|sQ23_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f231])).
% 0.14/0.42 fof(f234,plain,(
% 0.14/0.42 ~sQ23_spl|~sQ7_spl|~sQ18_spl|~sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f213,f231,f121,f190,f117])).
% 0.14/0.42 fof(f235,definition,(
% 0.14/0.42 sQ24_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f237,plain,(
% 0.14/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|sQ24_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f235])).
% 0.14/0.42 fof(f238,plain,(
% 0.14/0.42 ~sQ24_spl|~sQ20_spl|~sQ18_spl|~sQ8_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f214,f235,f220,f190,f125])).
% 0.14/0.42 fof(f239,definition,(
% 0.14/0.42 sQ25_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f240,plain,(
% 0.14/0.42 multiply(sk_c2,inverse(sk_c2))=sk_c9|~sQ25_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f239])).
% 0.14/0.42 fof(f241,plain,(
% 0.14/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|sQ25_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f239])).
% 0.14/0.42 fof(f242,plain,(
% 0.14/0.42 ~sQ25_spl|~sQ22_spl|~sQ18_spl|~sQ10_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f215,f239,f227,f190,f145])).
% 0.14/0.42 fof(f248,plain,(
% 0.14/0.42 ~multiply(sk_c2,sk_c9)=sk_c9|~sQ10_spl|sQ25_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f146,f241])).
% 0.14/0.42 fof(f249,plain,(
% 0.14/0.42 ~sk_c8=sk_c9|~sQ9_spl|~sQ10_spl|sQ25_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f136,f248])).
% 0.14/0.42 fof(f250,plain,(
% 0.14/0.42 ~multiply(sk_c1,sk_c10)=sk_c9|~sQ8_spl|sQ24_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f126,f237])).
% 0.14/0.42 fof(f251,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|~sQ0_spl|~sQ8_spl|sQ24_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f95,f250])).
% 0.14/0.42 fof(f252,plain,(
% 0.14/0.42 $false|~sQ0_spl|~sQ8_spl|sQ24_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f251])).
% 0.14/0.42 fof(f253,plain,(
% 0.14/0.42 ~sQ0_spl|~sQ8_spl|sQ24_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f252])).
% 0.14/0.42 fof(f256,plain,(
% 0.14/0.42 ~inverse(sk_c5)=sk_c9|~sk_c9=sk_c9|~sQ17_spl|~sQ4_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f110,f188])).
% 0.14/0.42 fof(f257,plain,(
% 0.14/0.42 ~inverse(sk_c3)=sk_c9|~sk_c10=sk_c9|~sQ17_spl|~sQ12_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f166,f188])).
% 0.14/0.42 fof(f258,definition,(
% 0.14/0.42 sQ27_spl <=> (sk_c9=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f260,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|sQ27_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f258])).
% 0.14/0.42 fof(f261,plain,(
% 0.14/0.42 ~sQ3_spl|~sQ27_spl|~sQ17_spl|~sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f256,f105,f258,f187,f109])).
% 0.14/0.42 fof(f262,definition,(
% 0.14/0.42 sQ28_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f265,definition,(
% 0.14/0.42 sQ29_spl <=> (sk_c10=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f268,plain,(
% 0.14/0.42 ~sQ28_spl|~sQ29_spl|~sQ17_spl|~sQ12_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f257,f262,f265,f187,f165])).
% 0.14/0.42 fof(f269,plain,(
% 0.14/0.42 $false|sQ27_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f260])).
% 0.14/0.42 fof(f270,plain,(
% 0.14/0.42 sQ27_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f269])).
% 0.14/0.42 fof(f277,plain,(
% 0.14/0.42 multiply(sk_c9,sk_c2)=identity|~sQ10_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f146,f48])).
% 0.14/0.42 fof(f279,plain,(
% 0.14/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.14/0.42 fof(f280,plain,(
% 0.14/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f47,f279])).
% 0.14/0.42 fof(f287,plain,(
% 0.14/0.42 ~inverse(sk_c4)=sk_c10|~sQ16_spl|~sQ2_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f185,f102])).
% 0.14/0.42 fof(f293,plain,(
% 0.14/0.42 ~sk_c10=sk_c10|~sQ1_spl|~sQ16_spl|~sQ2_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f98,f287])).
% 0.14/0.42 fof(f294,plain,(
% 0.14/0.42 $false|~sQ1_spl|~sQ16_spl|~sQ2_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f293])).
% 0.14/0.42 fof(f295,plain,(
% 0.14/0.42 ~sQ1_spl|~sQ16_spl|~sQ2_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f294])).
% 0.14/0.42 fof(f296,plain,(
% 0.14/0.42 ~inverse(sk_c3)=sk_c10|~sQ15_spl|~sQ12_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f182,f166])).
% 0.14/0.42 fof(f303,plain,(
% 0.14/0.42 ~sk_c10=sk_c10|~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f156,f296])).
% 0.14/0.42 fof(f304,plain,(
% 0.14/0.42 $false|~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f303])).
% 0.14/0.42 fof(f305,plain,(
% 0.14/0.42 ~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f304])).
% 0.14/0.42 fof(f306,plain,(
% 0.14/0.42 ~inverse(sk_c2)=sk_c9|~sQ14_spl|~sQ9_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f179,f136])).
% 0.14/0.42 fof(f308,plain,(
% 0.14/0.42 ~sk_c9=sk_c8|~inverse(identity)=sk_c9|~sQ14_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f47,f179])).
% 0.14/0.42 fof(f312,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f146,f306])).
% 0.14/0.42 fof(f313,plain,(
% 0.14/0.42 $false|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f312])).
% 0.14/0.42 fof(f314,plain,(
% 0.14/0.42 ~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f313])).
% 0.14/0.42 fof(f317,plain,(
% 0.14/0.42 ~identity=sk_c9|~inverse(inverse(sk_c10))=sk_c10|~sQ13_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f48,f176])).
% 0.14/0.42 fof(f318,plain,(
% 0.14/0.42 ~sk_c10=sk_c9|~inverse(identity)=sk_c10|~sQ13_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f47,f176])).
% 0.14/0.42 fof(f320,definition,(
% 0.14/0.42 sQ30_spl <=> (identity=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f322,plain,(
% 0.14/0.42 ~identity=sk_c9|sQ30_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f320])).
% 0.14/0.42 fof(f323,definition,(
% 0.14/0.42 sQ31_spl <=> (inverse(inverse(sk_c10))=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f326,plain,(
% 0.14/0.42 ~sQ30_spl|~sQ31_spl|~sQ13_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f317,f320,f323,f175])).
% 0.14/0.42 fof(f327,definition,(
% 0.14/0.42 sQ32_spl <=> (inverse(identity)=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f330,plain,(
% 0.14/0.42 ~sQ29_spl|~sQ32_spl|~sQ13_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f318,f265,f327,f175])).
% 0.14/0.42 fof(f338,definition,(
% 0.14/0.42 sQ35_spl <=> (sk_c9=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f340,plain,(
% 0.14/0.42 ~sk_c9=sk_c8|sQ35_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f338])).
% 0.14/0.42 fof(f341,definition,(
% 0.14/0.42 sQ36_spl <=> (inverse(identity)=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f343,plain,(
% 0.14/0.42 ~inverse(identity)=sk_c9|sQ36_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f341])).
% 0.14/0.42 fof(f344,plain,(
% 0.14/0.42 ~sQ35_spl|~sQ36_spl|~sQ14_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f308,f338,f341,f178])).
% 0.14/0.42 fof(f352,definition,(
% 0.14/0.42 sQ39_spl <=> (sk_c8=sk_c8)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f354,plain,(
% 0.14/0.42 ~sk_c8=sk_c8|sQ39_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f352])).
% 0.14/0.42 fof(f356,plain,(
% 0.14/0.42 $false|sQ39_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f354])).
% 0.14/0.42 fof(f357,plain,(
% 0.14/0.42 sQ39_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f356])).
% 0.14/0.42 fof(f360,plain,(
% 0.14/0.42 ~multiply(sk_c6,sk_c7)=sk_c9|~sQ6_spl|sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f118,f233])).
% 0.14/0.42 fof(f361,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|~sQ5_spl|~sQ6_spl|sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f114,f360])).
% 0.14/0.42 fof(f362,plain,(
% 0.14/0.42 $false|~sQ5_spl|~sQ6_spl|sQ23_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f361])).
% 0.14/0.42 fof(f363,plain,(
% 0.14/0.42 ~sQ5_spl|~sQ6_spl|sQ23_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f362])).
% 0.14/0.42 fof(f366,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|~inverse(sk_c1)=sk_c10|~sQ13_spl|~sQ0_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f95,f176])).
% 0.14/0.42 fof(f370,plain,(
% 0.14/0.42 ~sQ27_spl|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f366,f258,f125,f175,f94])).
% 0.14/0.43 fof(f383,plain,(
% 0.14/0.43 sk_c10=multiply(inverse(sk_c1),sk_c9)|~sQ0_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f95,f280])).
% 0.14/0.43 fof(f390,plain,(
% 0.14/0.43 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f47,f280])).
% 0.14/0.43 fof(f393,plain,(
% 0.14/0.43 sk_c9=multiply(inverse(sk_c4),sk_c10)|~sQ2_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f102,f280])).
% 0.14/0.43 fof(f395,plain,(
% 0.14/0.43 sk_c8=multiply(inverse(sk_c5),sk_c9)|~sQ4_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f110,f280])).
% 0.14/0.43 fof(f397,plain,(
% 0.14/0.43 sk_c7=multiply(inverse(sk_c6),sk_c9)|~sQ5_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f114,f280])).
% 0.14/0.43 fof(f402,plain,(
% 0.14/0.43 sk_c9=multiply(sk_c10,sk_c10)|~sQ1_spl|~sQ2_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f98,f393])).
% 0.14/0.43 fof(f404,plain,(
% 0.14/0.43 sk_c8=multiply(sk_c9,sk_c9)|~sQ3_spl|~sQ4_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f106,f395])).
% 0.14/0.43 fof(f406,plain,(
% 0.14/0.43 sk_c7=multiply(sk_c7,sk_c9)|~sQ6_spl|~sQ5_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f118,f397])).
% 0.14/0.43 fof(f412,plain,(
% 0.14/0.43 ~sk_c10=sk_c9|~inverse(inverse(identity))=sk_c10|~sQ13_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f390,f176])).
% 0.14/0.43 fof(f415,definition,(
% 0.14/0.43 sQ40_spl <=> (inverse(inverse(identity))=sk_c10)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f418,plain,(
% 0.14/0.43 ~sQ29_spl|~sQ40_spl|~sQ13_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f412,f265,f415,f175])).
% 0.14/0.43 fof(f420,plain,(
% 0.14/0.43 ~sk_c9=sk_c9|~inverse(sk_c10)=sk_c10|~sQ13_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f402,f176])).
% 0.14/0.43 fof(f423,definition,(
% 0.14/0.43 sQ41_spl <=> (inverse(sk_c10)=sk_c10)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f426,plain,(
% 0.14/0.43 ~sQ27_spl|~sQ41_spl|~sQ13_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f420,f258,f423,f175,f97,f101])).
% 0.14/0.43 fof(f430,plain,(
% 0.14/0.43 multiply(sk_c9,sk_c9)=multiply(sk_c6,sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f406,f198])).
% 0.14/0.43 fof(f431,plain,(
% 0.14/0.43 sk_c9=multiply(inverse(sk_c7),sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f406,f280])).
% 0.14/0.43 fof(f433,plain,(
% 0.14/0.43 sk_c8=multiply(sk_c6,sk_c7)|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f404,f430])).
% 0.14/0.43 fof(f434,plain,(
% 0.14/0.43 sk_c9=identity|~sQ6_spl|~sQ5_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f48,f431])).
% 0.14/0.43 fof(f435,plain,(
% 0.14/0.43 $false|sQ30_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f434,f322])).
% 0.14/0.43 fof(f436,plain,(
% 0.14/0.43 sQ30_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f435])).
% 0.14/0.43 fof(f438,plain,(
% 0.14/0.43 ~inverse(sk_c9)=sk_c9|~sQ6_spl|~sQ5_spl|sQ36_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f434,f343])).
% 0.14/0.43 fof(f444,plain,(
% 0.14/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ6_spl|~sQ5_spl)),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f434,f48])).
% 0.14/0.43 fof(f445,plain,(
% 0.14/0.43 ![X0]: (multiply(sk_c9,X0)=X0|~sQ6_spl|~sQ5_spl)),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f434,f47])).
% 0.14/0.43 fof(f446,plain,(
% 0.14/0.43 sk_c8=sk_c9|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f445,f404])).
% 0.14/0.43 fof(f453,plain,(
% 0.14/0.43 $false|sQ35_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f446,f340])).
% 0.14/0.43 fof(f454,plain,(
% 0.14/0.43 sQ35_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f453])).
% 0.14/0.43 fof(f455,plain,(
% 0.14/0.43 ![X0]: (multiply(sk_c8,X0)=X0|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl)),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f446,f445])).
% 0.14/0.43 fof(f458,plain,(
% 0.14/0.43 sk_c8=multiply(sk_c10,sk_c10)|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f446,f402])).
% 0.14/0.43 fof(f459,plain,(
% 0.14/0.43 multiply(sk_c7,sk_c8)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ7_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f446,f122])).
% 0.14/0.43 fof(f460,plain,(
% 0.14/0.43 inverse(sk_c5)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f446,f106])).
% 0.14/0.43 fof(f462,plain,(
% 0.14/0.43 multiply(sk_c4,sk_c8)=sk_c10|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f446,f102])).
% 0.14/0.43 fof(f465,plain,(
% 0.14/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f446,f444])).
% 0.14/0.43 fof(f472,plain,(
% 0.14/0.43 ![X0]: (~multiply(X0,sk_c10)=sk_c8|~inverse(X0)=sk_c10|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f446,f176])).
% 0.14/0.43 fof(f484,plain,(
% 0.14/0.43 multiply(sk_c8,sk_c5)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f460,f465])).
% 0.14/0.43 fof(f486,plain,(
% 0.14/0.43 sk_c5=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f455,f484])).
% 0.14/0.43 fof(f488,plain,(
% 0.14/0.43 inverse(sk_c8)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f486,f460])).
% 0.14/0.43 fof(f490,plain,(
% 0.14/0.43 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ7_spl)),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f459,f49])).
% 0.14/0.43 fof(f491,plain,(
% 0.14/0.43 ![X0]: (X0=multiply(sk_c7,multiply(sk_c8,X0))|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ7_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f455,f490])).
% 0.14/0.43 fof(f492,plain,(
% 0.14/0.43 ![X0]: (X0=multiply(sk_c7,X0)|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ7_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f455,f491])).
% 0.14/0.43 fof(f505,plain,(
% 0.14/0.43 sk_c7=multiply(inverse(sk_c6),sk_c8)|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f433,f280])).
% 0.14/0.43 fof(f507,plain,(
% 0.14/0.43 sk_c7=multiply(sk_c7,sk_c8)|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f118,f505])).
% 0.14/0.43 fof(f508,plain,(
% 0.14/0.43 sk_c7=sk_c8|~sQ7_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f492,f507])).
% 0.14/0.43 fof(f512,plain,(
% 0.14/0.43 inverse(sk_c8)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f508,f488])).
% 0.14/0.43 fof(f520,plain,(
% 0.14/0.43 sk_c7=sk_c9|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f508,f446])).
% 0.14/0.43 fof(f522,plain,(
% 0.14/0.43 inverse(sk_c7)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f508,f512])).
% 0.14/0.43 fof(f523,plain,(
% 0.14/0.43 multiply(sk_c4,sk_c7)=sk_c10|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f508,f462])).
% 0.14/0.43 fof(f525,plain,(
% 0.14/0.43 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl)),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f523,f49])).
% 0.14/0.43 fof(f527,plain,(
% 0.14/0.43 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c4,X0)|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f492,f525])).
% 0.14/0.43 fof(f567,definition,(
% 0.14/0.43 sQ44_spl <=> (sk_c7=sk_c7)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f569,plain,(
% 0.14/0.43 ~sk_c7=sk_c7|sQ44_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f567])).
% 0.14/0.43 fof(f669,plain,(
% 0.14/0.43 $false|sQ44_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f569])).
% 0.14/0.43 fof(f670,plain,(
% 0.14/0.43 sQ44_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f669])).
% 0.14/0.43 fof(f676,plain,(
% 0.14/0.43 ~inverse(sk_c7)=sk_c9|~sQ7_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ36_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f520,f438])).
% 0.14/0.43 fof(f677,plain,(
% 0.14/0.43 ~sk_c7=sk_c9|~sQ7_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ36_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f522,f676])).
% 0.14/0.43 fof(f678,plain,(
% 0.14/0.43 ~sk_c7=sk_c7|~sQ7_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ36_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f520,f677])).
% 0.14/0.43 fof(f679,plain,(
% 0.14/0.43 $false|~sQ7_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ36_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f678])).
% 0.14/0.43 fof(f680,plain,(
% 0.14/0.43 ~sQ7_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ36_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f679])).
% 0.14/0.43 fof(f848,definition,(
% 0.14/0.43 sQ57_spl <=> (sk_c10=sk_c10)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f850,plain,(
% 0.14/0.43 ~sk_c10=sk_c10|sQ57_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f848])).
% 0.14/0.43 fof(f891,definition,(
% 0.14/0.43 sQ59_spl <=> (sk_c3=sk_c3)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f893,plain,(
% 0.14/0.43 ~sk_c3=sk_c3|sQ59_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f891])).
% 0.14/0.43 fof(f902,plain,(
% 0.14/0.43 $false|sQ59_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f893])).
% 0.14/0.43 fof(f903,plain,(
% 0.14/0.43 sQ59_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f902])).
% 0.14/0.43 fof(f921,plain,(
% 0.14/0.43 sk_c9=multiply(inverse(sk_c2),sk_c8)|~sQ9_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f136,f280])).
% 0.14/0.43 fof(f923,plain,(
% 0.14/0.43 sk_c9=multiply(sk_c9,sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f146,f921])).
% 0.14/0.43 fof(f965,plain,(
% 0.14/0.43 ~inverse(sk_c9)=sk_c9|~sk_c9=sk_c9|~sQ17_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f923,f188])).
% 0.14/0.43 fof(f966,plain,(
% 0.14/0.43 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f923,f280])).
% 0.14/0.43 fof(f968,definition,(
% 0.14/0.43 sQ63_spl <=> (inverse(sk_c9)=sk_c9)),
% 0.14/0.43 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.14/0.43 fof(f970,plain,(
% 0.14/0.43 ~inverse(sk_c9)=sk_c9|sQ63_spl),
% 0.14/0.43 inference(component_clause,[status(thm)],[f968])).
% 0.14/0.43 fof(f971,plain,(
% 0.14/0.43 ~sQ63_spl|~sQ27_spl|~sQ17_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f965,f968,f258,f187,f145,f135])).
% 0.14/0.43 fof(f972,plain,(
% 0.14/0.43 sk_c8=identity|~sQ10_spl|~sQ9_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f48,f966])).
% 0.14/0.43 fof(f974,plain,(
% 0.14/0.43 multiply(sk_c9,sk_c2)=sk_c8|~sQ9_spl|~sQ10_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f972,f277])).
% 0.14/0.43 fof(f978,plain,(
% 0.14/0.43 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ10_spl|~sQ9_spl)),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f972,f48])).
% 0.14/0.43 fof(f979,plain,(
% 0.14/0.43 ![X0]: (multiply(sk_c8,X0)=X0|~sQ10_spl|~sQ9_spl)),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f972,f47])).
% 0.14/0.43 fof(f1028,plain,(
% 0.14/0.43 sk_c10=multiply(sk_c10,sk_c9)|~sQ8_spl|~sQ0_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f126,f383])).
% 0.14/0.43 fof(f1030,plain,(
% 0.14/0.43 sk_c9=multiply(inverse(sk_c10),sk_c10)|~sQ8_spl|~sQ0_spl),
% 0.14/0.43 inference(paramodulation,[status(thm)],[f1028,f280])).
% 0.14/0.43 fof(f1033,plain,(
% 0.14/0.43 sk_c9=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f978,f1030])).
% 0.14/0.43 fof(f1034,plain,(
% 0.14/0.43 $false|sQ25_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1033,f249])).
% 0.14/0.43 fof(f1035,plain,(
% 0.14/0.43 sQ25_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f1034])).
% 0.14/0.43 fof(f1037,plain,(
% 0.14/0.43 multiply(sk_c2,sk_c9)=sk_c9|~sQ10_spl|~sQ25_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f146,f240])).
% 0.14/0.43 fof(f1038,plain,(
% 0.14/0.43 sk_c8=sk_c9|~sQ9_spl|~sQ10_spl|~sQ25_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f136,f1037])).
% 0.14/0.43 fof(f1039,plain,(
% 0.14/0.43 ~sk_c9=sk_c9|~sQ10_spl|~sQ9_spl|sQ22_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f923,f229])).
% 0.14/0.43 fof(f1040,plain,(
% 0.14/0.43 $false|~sQ10_spl|~sQ9_spl|sQ22_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f1039])).
% 0.14/0.43 fof(f1041,plain,(
% 0.14/0.43 ~sQ10_spl|~sQ9_spl|sQ22_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f1040])).
% 0.14/0.43 fof(f1045,plain,(
% 0.14/0.43 multiply(sk_c8,sk_c2)=sk_c8|~sQ25_spl|~sQ9_spl|~sQ10_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f1038,f974])).
% 0.14/0.43 fof(f1051,plain,(
% 0.14/0.43 inverse(sk_c2)=sk_c8|~sQ9_spl|~sQ25_spl|~sQ10_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f1038,f146])).
% 0.14/0.43 fof(f1053,plain,(
% 0.14/0.43 sk_c2=sk_c8|~sQ25_spl|~sQ9_spl|~sQ10_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f979,f1045])).
% 0.14/0.43 fof(f1088,plain,(
% 0.14/0.43 sk_c2=sk_c9|~sQ9_spl|~sQ10_spl|~sQ25_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f1053,f1038])).
% 0.14/0.43 fof(f1096,plain,(
% 0.14/0.43 multiply(sk_c3,sk_c2)=sk_c10|~sQ25_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f1053,f166])).
% 0.14/0.43 fof(f1100,plain,(
% 0.14/0.43 ~inverse(sk_c2)=sk_c9|~sQ9_spl|~sQ10_spl|~sQ25_spl|sQ63_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f1088,f970])).
% 0.14/0.43 fof(f1101,plain,(
% 0.14/0.43 ~inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ10_spl|~sQ25_spl|sQ63_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f1088,f1100])).
% 0.14/0.43 fof(f1109,plain,(
% 0.14/0.43 inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ25_spl|~sQ10_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f1053,f1051])).
% 0.14/0.43 fof(f1110,plain,(
% 0.14/0.43 $false|sQ63_spl|~sQ9_spl|~sQ25_spl|~sQ10_spl),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1109,f1101])).
% 0.14/0.43 fof(f1111,plain,(
% 0.14/0.43 sQ63_spl|~sQ9_spl|~sQ25_spl|~sQ10_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f1110])).
% 0.14/0.43 fof(f1114,plain,(
% 0.14/0.43 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c2)=sk_c10|~sQ9_spl|~sQ10_spl|~sQ25_spl|~sQ16_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f1088,f185])).
% 0.14/0.43 fof(f1213,plain,(
% 0.14/0.43 ~inverse(sk_c3)=sk_c10|~sQ16_spl|~sQ25_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl),
% 0.14/0.43 inference(resolution,[status(thm)],[f1114,f1096])).
% 0.14/0.43 fof(f1220,plain,(
% 0.14/0.43 ~sQ11_spl|~sQ16_spl|~sQ25_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl),
% 0.14/0.43 inference(split_clause,[status(thm)],[f1213,f155,f184,f239,f135,f145,f165])).
% 0.14/0.43 fof(f1231,plain,(
% 0.14/0.43 $false|sQ57_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f850])).
% 0.14/0.43 fof(f1232,plain,(
% 0.14/0.43 sQ57_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f1231])).
% 0.14/0.43 fof(f1290,plain,(
% 0.14/0.43 multiply(sk_c4,sk_c7)=sk_c10|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f508,f462])).
% 0.14/0.43 fof(f1311,plain,(
% 0.14/0.43 sk_c7=multiply(sk_c10,sk_c10)|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f508,f458])).
% 0.14/0.43 fof(f1368,plain,(
% 0.14/0.43 ![X0]: (~multiply(X0,sk_c10)=sk_c7|~inverse(X0)=sk_c10|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f508,f472])).
% 0.14/0.43 fof(f1412,plain,(
% 0.14/0.43 sk_c7=multiply(sk_c4,sk_c10)|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.14/0.43 inference(backward_demodulation,[status(thm)],[f527,f1311])).
% 0.14/0.43 fof(f1423,plain,(
% 0.14/0.43 ~inverse(sk_c4)=sk_c10|~sQ1_spl|~sQ2_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl),
% 0.14/0.43 inference(resolution,[status(thm)],[f1412,f1368])).
% 0.14/0.43 fof(f1427,plain,(
% 0.14/0.43 ~sk_c10=sk_c10|~sQ1_spl|~sQ2_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f98,f1423])).
% 0.14/0.43 fof(f1428,plain,(
% 0.14/0.43 $false|~sQ1_spl|~sQ2_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f1427])).
% 0.14/0.43 fof(f1429,plain,(
% 0.14/0.43 ~sQ1_spl|~sQ2_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ13_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f1428])).
% 0.14/0.43 fof(f1437,plain,(
% 0.14/0.43 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c7)=sk_c10|~sQ7_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ15_spl)),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f508,f182])).
% 0.14/0.43 fof(f1464,plain,(
% 0.14/0.43 ~inverse(sk_c4)=sk_c10|~sQ15_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.43 inference(resolution,[status(thm)],[f1437,f1290])).
% 0.14/0.43 fof(f1473,plain,(
% 0.14/0.43 ~sk_c10=sk_c10|~sQ1_spl|~sQ15_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.43 inference(forward_demodulation,[status(thm)],[f98,f1464])).
% 0.14/0.43 fof(f1474,plain,(
% 0.14/0.43 $false|~sQ1_spl|~sQ15_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.43 inference(trivial_equality_resolution,[status(thm)],[f1473])).
% 0.14/0.43 fof(f1475,plain,(
% 0.14/0.43 ~sQ1_spl|~sQ15_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|~sQ4_spl|~sQ2_spl),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f1474])).
% 0.14/0.43 fof(f1476,plain,(
% 0.14/0.43 $false),
% 0.14/0.43 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,f193,f223,f230,f234,f238,f242,f253,f261,f268,f270,f295,f305,f314,f326,f330,f344,f357,f363,f370,f418,f426,f436,f454,f670,f680,f903,f971,f1035,f1041,f1111,f1220,f1232,f1429,f1475])).
% 0.14/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.087222 seconds
% 0.14/0.45 % CPU time: 0.347522 seconds
% 0.14/0.45 % Total memory used: 108.483 MB
% 0.14/0.45 % Net memory used: 108.270 MB
%------------------------------------------------------------------------------