%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP263-1 : 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 : n019.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 12:36:21 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP263-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:08:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.15/0.43 % Refutation found
% 0.15/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.43 fof(f1,axiom,(
% 0.15/0.43 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f2,axiom,(
% 0.15/0.43 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f3,axiom,(
% 0.15/0.43 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f4,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f5,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f6,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f7,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f8,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f9,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f10,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f11,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f12,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f14,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c1) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f15,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c1) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f16,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c1) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f17,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c1) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f18,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c1) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f19,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c1) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f20,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c1) = sk_c11| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f21,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c1) = sk_c11| inverse(sk_c7) = sk_c6 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f22,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c1) = sk_c11| inverse(sk_c6) = sk_c8 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f25,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f26,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f27,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f28,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f29,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f30,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f31,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c7) = sk_c6 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f32,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f33,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f34,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c2) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f35,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c2) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f36,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c2) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f37,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c2) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f38,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c2) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f39,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c2) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f40,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c2) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f41,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c2) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f42,negated_conjecture,(
% 0.15/0.43 ( inverse(sk_c2) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f44,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c9,sk_c10) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f45,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c9,sk_c10) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f46,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c9,sk_c10) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f47,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c9,sk_c10) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f48,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c9,sk_c10) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f49,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c9,sk_c10) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f50,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c9,sk_c10) = sk_c11| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f51,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c9,sk_c10) = sk_c11| inverse(sk_c7) = sk_c6 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f52,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c9,sk_c10) = sk_c11| inverse(sk_c6) = sk_c8 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f53,negated_conjecture,(
% 0.15/0.43 ( multiply(sk_c9,sk_c10) = sk_c11| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f54,negated_conjecture,(
% 0.15/0.43 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( multiply(X3,sk_c11) != sk_c10| inverse(X3) != sk_c11| multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| multiply(sk_c9,sk_c10) != sk_c11| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| multiply(X5,X6) != sk_c11| inverse(X5) != X6| multiply(X6,sk_c10) != sk_c11| inverse(X7) != X8| inverse(X8) != X6| multiply(X7,X6) != X8 ) ))),
% 0.15/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.43 fof(f55,plain,(
% 0.15/0.43 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.43 fof(f56,plain,(
% 0.15/0.43 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.43 fof(f57,plain,(
% 0.15/0.43 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.43 fof(f58,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.43 fof(f59,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.43 fof(f60,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.43 fof(f61,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.43 fof(f62,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.43 fof(f63,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.43 fof(f64,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.43 fof(f65,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.43 fof(f66,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.43 fof(f68,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.43 fof(f69,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.43 fof(f70,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.43 fof(f71,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.43 fof(f72,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.43 fof(f73,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/0.43 fof(f74,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f20])).
% 0.15/0.43 fof(f75,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c6),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/0.43 fof(f76,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c8),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.43 fof(f79,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c3)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.43 fof(f80,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f26])).
% 0.15/0.43 fof(f81,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/0.43 fof(f82,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/0.43 fof(f83,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/0.43 fof(f84,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c8,sk_c10)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.43 fof(f85,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c7)=sk_c6),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.43 fof(f86,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/0.43 fof(f87,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c7,sk_c8)=sk_c6),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f33])).
% 0.15/0.43 fof(f88,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f34])).
% 0.15/0.43 fof(f89,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f35])).
% 0.15/0.43 fof(f90,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.15/0.43 fof(f91,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f37])).
% 0.15/0.43 fof(f92,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f38])).
% 0.15/0.43 fof(f93,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f39])).
% 0.15/0.43 fof(f94,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f40])).
% 0.15/0.43 fof(f95,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f41])).
% 0.15/0.43 fof(f96,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f42])).
% 0.15/0.43 fof(f98,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f44])).
% 0.15/0.43 fof(f99,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f45])).
% 0.15/0.43 fof(f100,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f46])).
% 0.15/0.43 fof(f101,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f47])).
% 0.15/0.43 fof(f102,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f48])).
% 0.15/0.43 fof(f103,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f49])).
% 0.15/0.43 fof(f104,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f50])).
% 0.15/0.43 fof(f105,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c7)=sk_c6),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f51])).
% 0.15/0.43 fof(f106,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c6)=sk_c8),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f52])).
% 0.15/0.43 fof(f107,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c6),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f53])).
% 0.15/0.43 fof(f108,plain,(
% 0.15/0.43 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: ((((![X4]: (((![X3]: (~multiply(X3,sk_c11)=sk_c10|~inverse(X3)=sk_c11))|~multiply(X4,sk_c10)=sk_c9)|~inverse(X4)=sk_c10))|~multiply(sk_c9,sk_c10)=sk_c11)|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~multiply(X5,X6)=sk_c11)|~inverse(X5)=X6))|~multiply(X6,sk_c10)=sk_c11)|~inverse(X7)=X8)|~inverse(X8)=X6)|~multiply(X7,X6)=X8)),
% 0.15/0.43 inference(miniscoping,[status(thm)],[f54])).
% 0.15/0.43 fof(f109,plain,(
% 0.15/0.43 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10|~multiply(sk_c9,sk_c10)=sk_c11|~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7)),
% 0.15/0.43 inference(cnf_transformation,[status(thm)],[f108])).
% 0.15/0.43 fof(f110,definition,(
% 0.15/0.43 sQ0_spl <=> (multiply(sk_c1,sk_c11)=sk_c10)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f111,plain,(
% 0.15/0.43 multiply(sk_c1,sk_c11)=sk_c10|~sQ0_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f110])).
% 0.15/0.43 fof(f113,definition,(
% 0.15/0.43 sQ1_spl <=> (multiply(sk_c3,sk_c11)=sk_c10)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f114,plain,(
% 0.15/0.43 multiply(sk_c3,sk_c11)=sk_c10|~sQ1_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f113])).
% 0.15/0.43 fof(f116,plain,(
% 0.15/0.43 sQ0_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f58,f110,f113])).
% 0.15/0.43 fof(f117,definition,(
% 0.15/0.43 sQ2_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f118,plain,(
% 0.15/0.43 inverse(sk_c3)=sk_c11|~sQ2_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f117])).
% 0.15/0.43 fof(f120,plain,(
% 0.15/0.43 sQ0_spl|sQ2_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f59,f110,f117])).
% 0.15/0.43 fof(f121,definition,(
% 0.15/0.43 sQ3_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f122,plain,(
% 0.15/0.43 multiply(sk_c4,sk_c10)=sk_c9|~sQ3_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f121])).
% 0.15/0.43 fof(f124,plain,(
% 0.15/0.43 sQ0_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f60,f110,f121])).
% 0.15/0.43 fof(f125,definition,(
% 0.15/0.43 sQ4_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f126,plain,(
% 0.15/0.43 inverse(sk_c4)=sk_c10|~sQ4_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f125])).
% 0.15/0.43 fof(f128,plain,(
% 0.15/0.43 sQ0_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f61,f110,f125])).
% 0.15/0.43 fof(f129,definition,(
% 0.15/0.43 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c11)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f130,plain,(
% 0.15/0.43 multiply(sk_c5,sk_c8)=sk_c11|~sQ5_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f129])).
% 0.15/0.43 fof(f132,plain,(
% 0.15/0.43 sQ0_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f62,f110,f129])).
% 0.15/0.43 fof(f133,definition,(
% 0.15/0.43 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f134,plain,(
% 0.15/0.43 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.43 fof(f136,plain,(
% 0.15/0.43 sQ0_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f63,f110,f133])).
% 0.15/0.43 fof(f137,definition,(
% 0.15/0.43 sQ7_spl <=> (multiply(sk_c8,sk_c10)=sk_c11)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f138,plain,(
% 0.15/0.43 multiply(sk_c8,sk_c10)=sk_c11|~sQ7_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f137])).
% 0.15/0.43 fof(f140,plain,(
% 0.15/0.43 sQ0_spl|sQ7_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f64,f110,f137])).
% 0.15/0.43 fof(f141,definition,(
% 0.15/0.43 sQ8_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f142,plain,(
% 0.15/0.43 inverse(sk_c7)=sk_c6|~sQ8_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f141])).
% 0.15/0.43 fof(f144,plain,(
% 0.15/0.43 sQ0_spl|sQ8_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f65,f110,f141])).
% 0.15/0.43 fof(f145,definition,(
% 0.15/0.43 sQ9_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f146,plain,(
% 0.15/0.43 inverse(sk_c6)=sk_c8|~sQ9_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f145])).
% 0.15/0.43 fof(f148,plain,(
% 0.15/0.43 sQ0_spl|sQ9_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f66,f110,f145])).
% 0.15/0.43 fof(f149,definition,(
% 0.15/0.43 sQ10_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f150,plain,(
% 0.15/0.43 multiply(sk_c7,sk_c8)=sk_c6|~sQ10_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f149])).
% 0.15/0.43 fof(f153,definition,(
% 0.15/0.43 sQ11_spl <=> (inverse(sk_c1)=sk_c11)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f154,plain,(
% 0.15/0.43 inverse(sk_c1)=sk_c11|~sQ11_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f153])).
% 0.15/0.43 fof(f156,plain,(
% 0.15/0.43 sQ11_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f68,f153,f113])).
% 0.15/0.43 fof(f157,plain,(
% 0.15/0.43 sQ11_spl|sQ2_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f69,f153,f117])).
% 0.15/0.43 fof(f158,plain,(
% 0.15/0.43 sQ11_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f70,f153,f121])).
% 0.15/0.43 fof(f159,plain,(
% 0.15/0.43 sQ11_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f71,f153,f125])).
% 0.15/0.43 fof(f160,plain,(
% 0.15/0.43 sQ11_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f72,f153,f129])).
% 0.15/0.43 fof(f161,plain,(
% 0.15/0.43 sQ11_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f73,f153,f133])).
% 0.15/0.43 fof(f162,plain,(
% 0.15/0.43 sQ11_spl|sQ7_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f74,f153,f137])).
% 0.15/0.43 fof(f163,plain,(
% 0.15/0.43 sQ11_spl|sQ8_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f75,f153,f141])).
% 0.15/0.43 fof(f164,plain,(
% 0.15/0.43 sQ11_spl|sQ9_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f76,f153,f145])).
% 0.15/0.43 fof(f166,definition,(
% 0.15/0.43 sQ12_spl <=> (multiply(sk_c2,sk_c10)=sk_c9)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f167,plain,(
% 0.15/0.43 multiply(sk_c2,sk_c10)=sk_c9|~sQ12_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f166])).
% 0.15/0.43 fof(f170,plain,(
% 0.15/0.43 sQ12_spl|sQ2_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f79,f166,f117])).
% 0.15/0.43 fof(f171,plain,(
% 0.15/0.43 sQ12_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f80,f166,f121])).
% 0.15/0.43 fof(f172,plain,(
% 0.15/0.43 sQ12_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f81,f166,f125])).
% 0.15/0.43 fof(f173,plain,(
% 0.15/0.43 sQ12_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f82,f166,f129])).
% 0.15/0.43 fof(f174,plain,(
% 0.15/0.43 sQ12_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f83,f166,f133])).
% 0.15/0.43 fof(f175,plain,(
% 0.15/0.43 sQ12_spl|sQ7_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f84,f166,f137])).
% 0.15/0.43 fof(f176,plain,(
% 0.15/0.43 sQ12_spl|sQ8_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f85,f166,f141])).
% 0.15/0.43 fof(f177,plain,(
% 0.15/0.43 sQ12_spl|sQ9_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f86,f166,f145])).
% 0.15/0.43 fof(f178,plain,(
% 0.15/0.43 sQ12_spl|sQ10_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f87,f166,f149])).
% 0.15/0.43 fof(f179,definition,(
% 0.15/0.43 sQ13_spl <=> (inverse(sk_c2)=sk_c10)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f180,plain,(
% 0.15/0.43 inverse(sk_c2)=sk_c10|~sQ13_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f179])).
% 0.15/0.43 fof(f182,plain,(
% 0.15/0.43 sQ13_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f88,f179,f113])).
% 0.15/0.43 fof(f183,plain,(
% 0.15/0.43 sQ13_spl|sQ2_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f89,f179,f117])).
% 0.15/0.43 fof(f184,plain,(
% 0.15/0.43 sQ13_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f90,f179,f121])).
% 0.15/0.43 fof(f185,plain,(
% 0.15/0.43 sQ13_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f91,f179,f125])).
% 0.15/0.43 fof(f186,plain,(
% 0.15/0.43 sQ13_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f92,f179,f129])).
% 0.15/0.43 fof(f187,plain,(
% 0.15/0.43 sQ13_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f93,f179,f133])).
% 0.15/0.43 fof(f188,plain,(
% 0.15/0.43 sQ13_spl|sQ7_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f94,f179,f137])).
% 0.15/0.43 fof(f189,plain,(
% 0.15/0.43 sQ13_spl|sQ8_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f95,f179,f141])).
% 0.15/0.43 fof(f190,plain,(
% 0.15/0.43 sQ13_spl|sQ9_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f96,f179,f145])).
% 0.15/0.43 fof(f192,definition,(
% 0.15/0.43 sQ14_spl <=> (multiply(sk_c9,sk_c10)=sk_c11)),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f193,plain,(
% 0.15/0.43 multiply(sk_c9,sk_c10)=sk_c11|~sQ14_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f192])).
% 0.15/0.43 fof(f194,plain,(
% 0.15/0.43 ~multiply(sk_c9,sk_c10)=sk_c11|sQ14_spl),
% 0.15/0.43 inference(component_clause,[status(thm)],[f192])).
% 0.15/0.43 fof(f195,plain,(
% 0.15/0.43 sQ14_spl|sQ1_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f98,f192,f113])).
% 0.15/0.43 fof(f196,plain,(
% 0.15/0.43 sQ14_spl|sQ2_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f99,f192,f117])).
% 0.15/0.43 fof(f197,plain,(
% 0.15/0.43 sQ14_spl|sQ3_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f100,f192,f121])).
% 0.15/0.43 fof(f198,plain,(
% 0.15/0.43 sQ14_spl|sQ4_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f101,f192,f125])).
% 0.15/0.43 fof(f199,plain,(
% 0.15/0.43 sQ14_spl|sQ5_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f102,f192,f129])).
% 0.15/0.43 fof(f200,plain,(
% 0.15/0.43 sQ14_spl|sQ6_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f103,f192,f133])).
% 0.15/0.43 fof(f201,plain,(
% 0.15/0.43 sQ14_spl|sQ7_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f104,f192,f137])).
% 0.15/0.43 fof(f202,plain,(
% 0.15/0.43 sQ14_spl|sQ8_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f105,f192,f141])).
% 0.15/0.43 fof(f203,plain,(
% 0.15/0.43 sQ14_spl|sQ9_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f106,f192,f145])).
% 0.15/0.43 fof(f204,plain,(
% 0.15/0.43 sQ14_spl|sQ10_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f107,f192,f149])).
% 0.15/0.43 fof(f205,definition,(
% 0.15/0.43 ![X0]: (sQ15_spl <=> (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11))),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f206,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ15_spl)),
% 0.15/0.43 inference(component_clause,[status(thm)],[f205])).
% 0.15/0.43 fof(f208,definition,(
% 0.15/0.43 ![X1]: (sQ16_spl <=> (~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10))),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f209,plain,(
% 0.15/0.43 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ16_spl)),
% 0.15/0.43 inference(component_clause,[status(thm)],[f208])).
% 0.15/0.43 fof(f211,definition,(
% 0.15/0.43 ![X4,X5,X6,X7]: (sQ17_spl <=> (~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7))),
% 0.15/0.43 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.15/0.43 fof(f212,plain,(
% 0.15/0.43 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~sQ17_spl)),
% 0.15/0.43 inference(component_clause,[status(thm)],[f211])).
% 0.15/0.43 fof(f214,plain,(
% 0.15/0.43 sQ15_spl|sQ16_spl|~sQ14_spl|sQ17_spl),
% 0.15/0.43 inference(split_clause,[status(thm)],[f109,f205,f208,f192,f211])).
% 0.15/0.43 fof(f215,plain,(
% 0.15/0.43 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ17_spl)),
% 0.15/0.43 inference(destructive_equality_resolution,[status(thm)],[f212])).
% 0.15/0.43 fof(f222,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c8,multiply(sk_c10,X0))|~sQ7_spl)),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f138,f57])).
% 0.15/0.43 fof(f224,plain,(
% 0.15/0.43 multiply(sk_c10,sk_c4)=identity|~sQ4_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f126,f56])).
% 0.15/0.43 fof(f225,plain,(
% 0.15/0.43 multiply(sk_c8,sk_c5)=identity|~sQ6_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f134,f56])).
% 0.15/0.43 fof(f226,plain,(
% 0.15/0.43 multiply(sk_c6,sk_c7)=identity|~sQ8_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f142,f56])).
% 0.15/0.43 fof(f227,plain,(
% 0.15/0.43 multiply(sk_c8,sk_c6)=identity|~sQ9_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f146,f56])).
% 0.15/0.43 fof(f230,plain,(
% 0.15/0.43 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f56,f57])).
% 0.15/0.43 fof(f231,plain,(
% 0.15/0.43 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.43 inference(forward_demodulation,[status(thm)],[f55,f230])).
% 0.15/0.43 fof(f232,plain,(
% 0.15/0.43 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~sQ5_spl)),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f130,f57])).
% 0.15/0.43 fof(f234,plain,(
% 0.15/0.43 multiply(sk_c11,sk_c3)=identity|~sQ2_spl),
% 0.15/0.43 inference(paramodulation,[status(thm)],[f118,f56])).
% 0.15/0.43 fof(f236,plain,(
% 0.15/0.43 ~multiply(identity,inverse(identity))=sk_c11|~multiply(inverse(identity),sk_c10)=sk_c11|~inverse(inverse(identity))=inverse(identity)|~sQ17_spl),
% 0.15/0.44 inference(resolution,[status(thm)],[f215,f55])).
% 0.15/0.44 fof(f237,plain,(
% 0.15/0.44 ![X0]: (~inverse(identity)=sk_c11|~multiply(inverse(identity),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ17_spl)),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f55,f215])).
% 0.15/0.44 fof(f241,plain,(
% 0.15/0.44 ![X0]: (~multiply(sk_c5,sk_c8)=sk_c11|~multiply(inverse(sk_c5),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(sk_c5)|~multiply(X0,inverse(sk_c5))=inverse(X0)|~sQ17_spl|~sQ6_spl)),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f134,f215])).
% 0.15/0.44 fof(f244,plain,(
% 0.15/0.44 ![X0]: (~multiply(sk_c1,sk_c11)=sk_c11|~multiply(inverse(sk_c1),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(sk_c1)|~multiply(X0,inverse(sk_c1))=inverse(X0)|~sQ17_spl|~sQ11_spl)),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f154,f215])).
% 0.15/0.44 fof(f246,definition,(
% 0.15/0.44 sQ18_spl <=> (multiply(identity,inverse(identity))=sk_c11)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f249,definition,(
% 0.15/0.44 sQ19_spl <=> (multiply(inverse(identity),sk_c10)=sk_c11)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f251,plain,(
% 0.15/0.44 ~multiply(inverse(identity),sk_c10)=sk_c11|sQ19_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f249])).
% 0.15/0.44 fof(f252,definition,(
% 0.15/0.44 sQ20_spl <=> (inverse(inverse(identity))=inverse(identity))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f254,plain,(
% 0.15/0.44 ~inverse(inverse(identity))=inverse(identity)|sQ20_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f252])).
% 0.15/0.44 fof(f255,plain,(
% 0.15/0.44 ~sQ18_spl|~sQ19_spl|~sQ20_spl|~sQ17_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f236,f246,f249,f252,f211])).
% 0.15/0.44 fof(f256,definition,(
% 0.15/0.44 sQ21_spl <=> (inverse(identity)=sk_c11)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f258,plain,(
% 0.15/0.44 ~inverse(identity)=sk_c11|sQ21_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f256])).
% 0.15/0.44 fof(f259,definition,(
% 0.15/0.44 ![X0]: (sQ22_spl <=> (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f260,plain,(
% 0.15/0.44 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ22_spl)),
% 0.15/0.44 inference(component_clause,[status(thm)],[f259])).
% 0.15/0.44 fof(f262,plain,(
% 0.15/0.44 ~sQ21_spl|~sQ19_spl|sQ22_spl|~sQ17_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f237,f256,f249,f259,f211])).
% 0.15/0.44 fof(f283,definition,(
% 0.15/0.44 sQ29_spl <=> (multiply(inverse(sk_c5),sk_c10)=sk_c11)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f285,plain,(
% 0.15/0.44 ~multiply(inverse(sk_c5),sk_c10)=sk_c11|sQ29_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f283])).
% 0.15/0.44 fof(f286,definition,(
% 0.15/0.44 ![X0]: (sQ30_spl <=> (~inverse(inverse(X0))=inverse(sk_c5)|~multiply(X0,inverse(sk_c5))=inverse(X0)))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f287,plain,(
% 0.15/0.44 ![X0]: (~inverse(inverse(X0))=inverse(sk_c5)|~multiply(X0,inverse(sk_c5))=inverse(X0)|~sQ30_spl)),
% 0.15/0.44 inference(component_clause,[status(thm)],[f286])).
% 0.15/0.44 fof(f289,plain,(
% 0.15/0.44 ~sQ5_spl|~sQ29_spl|sQ30_spl|~sQ17_spl|~sQ6_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f241,f129,f283,f286,f211,f133])).
% 0.15/0.44 fof(f310,definition,(
% 0.15/0.44 sQ37_spl <=> (multiply(sk_c1,sk_c11)=sk_c11)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f313,definition,(
% 0.15/0.44 sQ38_spl <=> (multiply(inverse(sk_c1),sk_c10)=sk_c11)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f314,plain,(
% 0.15/0.44 multiply(inverse(sk_c1),sk_c10)=sk_c11|~sQ38_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f313])).
% 0.15/0.44 fof(f315,plain,(
% 0.15/0.44 ~multiply(inverse(sk_c1),sk_c10)=sk_c11|sQ38_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f313])).
% 0.15/0.44 fof(f316,definition,(
% 0.15/0.44 ![X0]: (sQ39_spl <=> (~inverse(inverse(X0))=inverse(sk_c1)|~multiply(X0,inverse(sk_c1))=inverse(X0)))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f317,plain,(
% 0.15/0.44 ![X0]: (~inverse(inverse(X0))=inverse(sk_c1)|~multiply(X0,inverse(sk_c1))=inverse(X0)|~sQ39_spl)),
% 0.15/0.44 inference(component_clause,[status(thm)],[f316])).
% 0.15/0.44 fof(f319,plain,(
% 0.15/0.44 ~sQ37_spl|~sQ38_spl|sQ39_spl|~sQ17_spl|~sQ11_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f244,f310,f313,f316,f211,f153])).
% 0.15/0.44 fof(f341,plain,(
% 0.15/0.44 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c9,multiply(sk_c10,X0))|~sQ14_spl)),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f193,f57])).
% 0.15/0.44 fof(f342,plain,(
% 0.15/0.44 ~inverse(sk_c4)=sk_c10|~sQ16_spl|~sQ3_spl),
% 0.15/0.44 inference(resolution,[status(thm)],[f209,f122])).
% 0.15/0.44 fof(f343,plain,(
% 0.15/0.44 ~inverse(sk_c2)=sk_c10|~sQ16_spl|~sQ12_spl),
% 0.15/0.44 inference(resolution,[status(thm)],[f209,f167])).
% 0.15/0.44 fof(f351,plain,(
% 0.15/0.44 ~sk_c10=sk_c10|~sQ13_spl|~sQ16_spl|~sQ12_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f180,f343])).
% 0.15/0.44 fof(f352,plain,(
% 0.15/0.44 $false|~sQ13_spl|~sQ16_spl|~sQ12_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f351])).
% 0.15/0.44 fof(f353,plain,(
% 0.15/0.44 ~sQ13_spl|~sQ16_spl|~sQ12_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f352])).
% 0.15/0.44 fof(f356,plain,(
% 0.15/0.44 ~sk_c10=sk_c10|~inverse(sk_c3)=sk_c11|~sQ15_spl|~sQ1_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f114,f206])).
% 0.15/0.44 fof(f359,plain,(
% 0.15/0.44 ~sk_c10=sk_c10|~inverse(sk_c1)=sk_c11|~sQ15_spl|~sQ0_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f111,f206])).
% 0.15/0.44 fof(f361,definition,(
% 0.15/0.44 sQ43_spl <=> (sk_c10=sk_c10)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f363,plain,(
% 0.15/0.44 ~sk_c10=sk_c10|sQ43_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f361])).
% 0.15/0.44 fof(f364,plain,(
% 0.15/0.44 ~sQ43_spl|~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f356,f361,f117,f205,f113])).
% 0.15/0.44 fof(f365,definition,(
% 0.15/0.44 sQ44_spl <=> (identity=sk_c10)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f367,plain,(
% 0.15/0.44 ~identity=sk_c10|sQ44_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f365])).
% 0.15/0.44 fof(f376,plain,(
% 0.15/0.44 ~sQ43_spl|~sQ11_spl|~sQ15_spl|~sQ0_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f359,f361,f153,f205,f110])).
% 0.15/0.44 fof(f377,plain,(
% 0.15/0.44 $false|sQ43_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f363])).
% 0.15/0.44 fof(f378,plain,(
% 0.15/0.44 sQ43_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f377])).
% 0.15/0.44 fof(f444,definition,(
% 0.15/0.44 sQ52_spl <=> (inverse(sk_c10)=sk_c10)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f446,plain,(
% 0.15/0.44 ~inverse(sk_c10)=sk_c10|sQ52_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f444])).
% 0.15/0.44 fof(f478,definition,(
% 0.15/0.44 sQ57_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f480,plain,(
% 0.15/0.44 ~inverse(sk_c8)=sk_c8|sQ57_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f478])).
% 0.15/0.44 fof(f485,definition,(
% 0.15/0.44 sQ59_spl <=> (multiply(sk_c7,sk_c8)=inverse(sk_c7))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f487,plain,(
% 0.15/0.44 ~multiply(sk_c7,sk_c8)=inverse(sk_c7)|sQ59_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f485])).
% 0.15/0.44 fof(f489,definition,(
% 0.15/0.44 sQ60_spl <=> (multiply(sk_c5,sk_c8)=inverse(sk_c5))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f491,plain,(
% 0.15/0.44 ~multiply(sk_c5,sk_c8)=inverse(sk_c5)|sQ60_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f489])).
% 0.15/0.44 fof(f513,plain,(
% 0.15/0.44 ~sk_c11=inverse(sk_c5)|~sQ5_spl|sQ60_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f130,f491])).
% 0.15/0.44 fof(f514,plain,(
% 0.15/0.44 ~sk_c11=sk_c8|~sQ6_spl|~sQ5_spl|sQ60_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f134,f513])).
% 0.15/0.44 fof(f515,plain,(
% 0.15/0.44 ~sk_c6=inverse(sk_c7)|~sQ10_spl|sQ59_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f150,f487])).
% 0.15/0.44 fof(f516,plain,(
% 0.15/0.44 ~sk_c6=sk_c6|~sQ8_spl|~sQ10_spl|sQ59_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f142,f515])).
% 0.15/0.44 fof(f517,plain,(
% 0.15/0.44 $false|~sQ8_spl|~sQ10_spl|sQ59_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f516])).
% 0.15/0.44 fof(f518,plain,(
% 0.15/0.44 ~sQ8_spl|~sQ10_spl|sQ59_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f517])).
% 0.15/0.44 fof(f536,definition,(
% 0.15/0.44 sQ68_spl <=> (sk_c9=sk_c9)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f538,plain,(
% 0.15/0.44 ~sk_c9=sk_c9|sQ68_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f536])).
% 0.15/0.44 fof(f550,definition,(
% 0.15/0.44 sQ72_spl <=> (inverse(identity)=sk_c10)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f552,plain,(
% 0.15/0.44 ~inverse(identity)=sk_c10|sQ72_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f550])).
% 0.15/0.44 fof(f555,plain,(
% 0.15/0.44 ~sk_c10=sk_c10|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f126,f342])).
% 0.15/0.44 fof(f556,plain,(
% 0.15/0.44 $false|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f555])).
% 0.15/0.44 fof(f557,plain,(
% 0.15/0.44 ~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f556])).
% 0.15/0.44 fof(f558,plain,(
% 0.15/0.44 $false|sQ68_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f538])).
% 0.15/0.44 fof(f559,plain,(
% 0.15/0.44 sQ68_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f558])).
% 0.15/0.44 fof(f564,plain,(
% 0.15/0.44 ![X0]: (~inverse(inverse(X0))=sk_c8|~multiply(X0,inverse(sk_c5))=inverse(X0)|~sQ6_spl|~sQ30_spl)),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f134,f287])).
% 0.15/0.44 fof(f565,plain,(
% 0.15/0.44 ![X0]: (~inverse(inverse(X0))=sk_c8|~multiply(X0,sk_c8)=inverse(X0)|~sQ6_spl|~sQ30_spl)),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f134,f564])).
% 0.15/0.44 fof(f586,plain,(
% 0.15/0.44 ~multiply(sk_c8,sk_c10)=sk_c11|~sQ6_spl|sQ29_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f134,f285])).
% 0.15/0.44 fof(f587,plain,(
% 0.15/0.44 ~sk_c11=sk_c11|~sQ7_spl|~sQ6_spl|sQ29_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f138,f586])).
% 0.15/0.44 fof(f588,plain,(
% 0.15/0.44 $false|~sQ7_spl|~sQ6_spl|sQ29_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f587])).
% 0.15/0.44 fof(f589,plain,(
% 0.15/0.44 ~sQ7_spl|~sQ6_spl|sQ29_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f588])).
% 0.15/0.44 fof(f599,plain,(
% 0.15/0.44 multiply(sk_c11,sk_c4)=multiply(sk_c8,identity)|~sQ7_spl|~sQ4_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f224,f222])).
% 0.15/0.44 fof(f607,plain,(
% 0.15/0.44 multiply(sk_c11,sk_c5)=multiply(sk_c5,identity)|~sQ5_spl|~sQ6_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f225,f232])).
% 0.15/0.44 fof(f613,plain,(
% 0.15/0.44 multiply(sk_c11,sk_c6)=multiply(sk_c5,identity)|~sQ5_spl|~sQ9_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f227,f232])).
% 0.15/0.44 fof(f621,plain,(
% 0.15/0.44 ~inverse(inverse(inverse(inverse(sk_c1))))=inverse(sk_c1)|~identity=inverse(inverse(inverse(sk_c1)))|~sQ39_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f56,f317])).
% 0.15/0.44 fof(f622,plain,(
% 0.15/0.44 ~inverse(inverse(identity))=inverse(sk_c1)|~inverse(sk_c1)=inverse(identity)|~sQ39_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f55,f317])).
% 0.15/0.44 fof(f624,definition,(
% 0.15/0.44 sQ73_spl <=> (inverse(inverse(inverse(inverse(sk_c1))))=inverse(sk_c1))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f627,definition,(
% 0.15/0.44 sQ74_spl <=> (identity=inverse(inverse(inverse(sk_c1))))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f630,plain,(
% 0.15/0.44 ~sQ73_spl|~sQ74_spl|~sQ39_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f621,f624,f627,f316])).
% 0.15/0.44 fof(f631,definition,(
% 0.15/0.44 sQ75_spl <=> (inverse(inverse(identity))=inverse(sk_c1))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f634,definition,(
% 0.15/0.44 sQ76_spl <=> (inverse(sk_c1)=inverse(identity))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f637,plain,(
% 0.15/0.44 ~sQ75_spl|~sQ76_spl|~sQ39_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f622,f631,f634,f316])).
% 0.15/0.44 fof(f686,plain,(
% 0.15/0.44 sk_c7=multiply(inverse(sk_c6),identity)|~sQ8_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f226,f231])).
% 0.15/0.44 fof(f690,plain,(
% 0.15/0.44 sk_c11=multiply(inverse(sk_c1),sk_c10)|~sQ0_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f111,f231])).
% 0.15/0.44 fof(f692,plain,(
% 0.15/0.44 sk_c8=multiply(inverse(sk_c5),sk_c11)|~sQ5_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f130,f231])).
% 0.15/0.44 fof(f710,plain,(
% 0.15/0.44 sk_c7=multiply(sk_c8,identity)|~sQ9_spl|~sQ8_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f146,f686])).
% 0.15/0.44 fof(f711,plain,(
% 0.15/0.44 $false|sQ38_spl|~sQ0_spl),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f690,f315])).
% 0.15/0.44 fof(f712,plain,(
% 0.15/0.44 sQ38_spl|~sQ0_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f711])).
% 0.15/0.44 fof(f714,plain,(
% 0.15/0.44 sk_c8=multiply(sk_c8,sk_c11)|~sQ6_spl|~sQ5_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f134,f692])).
% 0.15/0.44 fof(f723,plain,(
% 0.15/0.44 ~inverse(sk_c6)=sk_c8|~multiply(sk_c7,sk_c8)=inverse(sk_c7)|~sQ6_spl|~sQ30_spl|~sQ8_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f142,f565])).
% 0.15/0.44 fof(f724,plain,(
% 0.15/0.44 ~inverse(sk_c8)=sk_c8|~multiply(sk_c5,sk_c8)=inverse(sk_c5)|~sQ30_spl|~sQ6_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f134,f565])).
% 0.15/0.44 fof(f728,plain,(
% 0.15/0.44 ~sQ9_spl|~sQ59_spl|~sQ6_spl|~sQ30_spl|~sQ8_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f723,f145,f485,f133,f286,f141])).
% 0.15/0.44 fof(f729,plain,(
% 0.15/0.44 ~sQ57_spl|~sQ60_spl|~sQ30_spl|~sQ6_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f724,f478,f489,f286,f133])).
% 0.15/0.44 fof(f759,plain,(
% 0.15/0.44 sk_c11=multiply(inverse(sk_c8),sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f714,f231])).
% 0.15/0.44 fof(f763,plain,(
% 0.15/0.44 sk_c11=identity|~sQ6_spl|~sQ5_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f56,f759])).
% 0.15/0.44 fof(f781,plain,(
% 0.15/0.44 multiply(sk_c11,sk_c4)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f710,f599])).
% 0.15/0.44 fof(f839,plain,(
% 0.15/0.44 multiply(sk_c11,sk_c6)=multiply(sk_c11,sk_c5)|~sQ6_spl|~sQ5_spl|~sQ9_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f607,f613])).
% 0.15/0.44 fof(f843,plain,(
% 0.15/0.44 sk_c6=multiply(inverse(sk_c11),multiply(sk_c11,sk_c5))|~sQ6_spl|~sQ5_spl|~sQ9_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f839,f231])).
% 0.15/0.44 fof(f848,plain,(
% 0.15/0.44 sk_c6=sk_c5|~sQ6_spl|~sQ5_spl|~sQ9_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f231,f843])).
% 0.15/0.44 fof(f870,plain,(
% 0.15/0.44 multiply(identity,sk_c4)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f763,f781])).
% 0.15/0.44 fof(f884,plain,(
% 0.15/0.44 ~multiply(sk_c9,sk_c10)=identity|~sQ6_spl|~sQ5_spl|sQ14_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f763,f194])).
% 0.15/0.44 fof(f887,plain,(
% 0.15/0.44 multiply(identity,sk_c3)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f763,f234])).
% 0.15/0.44 fof(f889,plain,(
% 0.15/0.44 ~identity=sk_c8|~sQ6_spl|~sQ5_spl|sQ60_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f763,f514])).
% 0.15/0.44 fof(f894,plain,(
% 0.15/0.44 ~inverse(identity)=identity|~sQ6_spl|~sQ5_spl|sQ21_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f763,f258])).
% 0.15/0.44 fof(f895,plain,(
% 0.15/0.44 multiply(sk_c5,sk_c8)=identity|~sQ6_spl|~sQ5_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f763,f130])).
% 0.15/0.44 fof(f896,plain,(
% 0.15/0.44 inverse(sk_c3)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f763,f118])).
% 0.15/0.44 fof(f897,plain,(
% 0.15/0.44 multiply(sk_c3,identity)=sk_c10|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f763,f114])).
% 0.15/0.44 fof(f908,plain,(
% 0.15/0.44 sk_c4=sk_c7|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f870])).
% 0.15/0.44 fof(f913,plain,(
% 0.15/0.44 sk_c3=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f887])).
% 0.15/0.44 fof(f932,plain,(
% 0.15/0.44 inverse(sk_c7)=sk_c5|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f848,f142])).
% 0.15/0.44 fof(f933,plain,(
% 0.15/0.44 multiply(sk_c7,sk_c8)=sk_c5|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ10_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f848,f150])).
% 0.15/0.44 fof(f950,plain,(
% 0.15/0.44 inverse(identity)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f913,f896])).
% 0.15/0.44 fof(f951,plain,(
% 0.15/0.44 $false|sQ21_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f950,f894])).
% 0.15/0.44 fof(f952,plain,(
% 0.15/0.44 sQ21_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f951])).
% 0.15/0.44 fof(f954,plain,(
% 0.15/0.44 multiply(identity,identity)=sk_c10|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f913,f897])).
% 0.15/0.44 fof(f955,plain,(
% 0.15/0.44 ~multiply(sk_c9,identity)=identity|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ14_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f972,f884])).
% 0.15/0.44 fof(f970,plain,(
% 0.15/0.44 inverse(sk_c4)=identity|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f972,f126])).
% 0.15/0.44 fof(f971,plain,(
% 0.15/0.44 multiply(sk_c4,identity)=sk_c9|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f972,f122])).
% 0.15/0.44 fof(f972,plain,(
% 0.15/0.44 identity=sk_c10|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f954])).
% 0.15/0.44 fof(f983,plain,(
% 0.15/0.44 inverse(sk_c4)=sk_c5|~sQ7_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f908,f932])).
% 0.15/0.44 fof(f986,plain,(
% 0.15/0.44 multiply(sk_c4,sk_c8)=sk_c5|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ10_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f908,f933])).
% 0.15/0.44 fof(f1002,plain,(
% 0.15/0.44 identity=sk_c5|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f970,f983])).
% 0.15/0.44 fof(f1022,plain,(
% 0.15/0.44 multiply(sk_c4,sk_c8)=identity|~sQ2_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ10_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1002,f986])).
% 0.15/0.44 fof(f1023,plain,(
% 0.15/0.44 multiply(identity,sk_c8)=identity|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1002,f895])).
% 0.15/0.44 fof(f1028,plain,(
% 0.15/0.44 inverse(identity)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1002,f134])).
% 0.15/0.44 fof(f1029,plain,(
% 0.15/0.44 sk_c8=identity|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f1023])).
% 0.15/0.44 fof(f1030,plain,(
% 0.15/0.44 $false|sQ60_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1029,f889])).
% 0.15/0.44 fof(f1031,plain,(
% 0.15/0.44 sQ60_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1030])).
% 0.15/0.44 fof(f1033,plain,(
% 0.15/0.44 identity=sk_c8|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f950,f1028])).
% 0.15/0.44 fof(f1043,plain,(
% 0.15/0.44 multiply(sk_c4,identity)=identity|~sQ2_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ10_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1033,f1022])).
% 0.15/0.44 fof(f1046,plain,(
% 0.15/0.44 ~inverse(sk_c8)=identity|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|sQ57_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1033,f480])).
% 0.15/0.44 fof(f1047,plain,(
% 0.15/0.44 ~inverse(identity)=identity|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|sQ57_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1033,f1046])).
% 0.15/0.44 fof(f1048,plain,(
% 0.15/0.44 ~identity=identity|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|sQ57_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f950,f1047])).
% 0.15/0.44 fof(f1049,plain,(
% 0.15/0.44 $false|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|sQ57_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f1048])).
% 0.15/0.44 fof(f1050,plain,(
% 0.15/0.44 ~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|sQ57_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1049])).
% 0.15/0.44 fof(f1053,plain,(
% 0.15/0.44 identity=sk_c9|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl|~sQ10_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1043,f971])).
% 0.15/0.44 fof(f1059,plain,(
% 0.15/0.44 ~multiply(identity,identity)=identity|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl|~sQ10_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ14_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1053,f955])).
% 0.15/0.44 fof(f1060,plain,(
% 0.15/0.44 ~identity=identity|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl|~sQ10_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ14_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f1059])).
% 0.15/0.44 fof(f1061,plain,(
% 0.15/0.44 $false|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl|~sQ10_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ14_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f1060])).
% 0.15/0.44 fof(f1062,plain,(
% 0.15/0.44 ~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl|~sQ10_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ14_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1061])).
% 0.15/0.44 fof(f1068,plain,(
% 0.15/0.44 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c9,multiply(sk_c10,X0))|~sQ14_spl)),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f193,f57])).
% 0.15/0.44 fof(f1087,plain,(
% 0.15/0.44 ~inverse(inverse(inverse(inverse(identity))))=inverse(identity)|~identity=inverse(inverse(inverse(identity)))|~sQ22_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f56,f260])).
% 0.15/0.44 fof(f1088,plain,(
% 0.15/0.44 ~inverse(inverse(identity))=inverse(identity)|~inverse(identity)=inverse(identity)|~sQ22_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f55,f260])).
% 0.15/0.44 fof(f1090,definition,(
% 0.15/0.44 sQ86_spl <=> (inverse(inverse(inverse(inverse(identity))))=inverse(identity))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f1093,definition,(
% 0.15/0.44 sQ87_spl <=> (identity=inverse(inverse(inverse(identity))))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f1096,plain,(
% 0.15/0.44 ~sQ86_spl|~sQ87_spl|~sQ22_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f1087,f1090,f1093,f259])).
% 0.15/0.44 fof(f1097,definition,(
% 0.15/0.44 sQ88_spl <=> (inverse(identity)=inverse(identity))),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f1099,plain,(
% 0.15/0.44 ~inverse(identity)=inverse(identity)|sQ88_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f1097])).
% 0.15/0.44 fof(f1100,plain,(
% 0.15/0.44 ~sQ20_spl|~sQ88_spl|~sQ22_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f1088,f252,f1097,f259])).
% 0.15/0.44 fof(f1101,plain,(
% 0.15/0.44 $false|sQ88_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f1099])).
% 0.15/0.44 fof(f1102,plain,(
% 0.15/0.44 sQ88_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1101])).
% 0.15/0.44 fof(f1103,plain,(
% 0.15/0.44 multiply(sk_c11,sk_c10)=sk_c11|~sQ11_spl|~sQ38_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f154,f314])).
% 0.15/0.44 fof(f1104,plain,(
% 0.15/0.44 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ11_spl|~sQ38_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f1103,f231])).
% 0.15/0.44 fof(f1106,plain,(
% 0.15/0.44 sk_c10=identity|~sQ11_spl|~sQ38_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f56,f1104])).
% 0.15/0.44 fof(f1107,plain,(
% 0.15/0.44 $false|sQ44_spl|~sQ11_spl|~sQ38_spl),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1106,f367])).
% 0.15/0.44 fof(f1108,plain,(
% 0.15/0.44 sQ44_spl|~sQ11_spl|~sQ38_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1107])).
% 0.15/0.44 fof(f1122,plain,(
% 0.15/0.44 ~multiply(inverse(identity),identity)=sk_c11|~sQ11_spl|~sQ38_spl|sQ19_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1106,f251])).
% 0.15/0.44 fof(f1125,plain,(
% 0.15/0.44 ~inverse(identity)=identity|~sQ11_spl|~sQ38_spl|sQ72_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1106,f552])).
% 0.15/0.44 fof(f1132,plain,(
% 0.15/0.44 inverse(sk_c2)=identity|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1106,f180])).
% 0.15/0.44 fof(f1133,plain,(
% 0.15/0.44 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),identity)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ11_spl|~sQ38_spl|~sQ17_spl)),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1106,f215])).
% 0.15/0.44 fof(f1135,plain,(
% 0.15/0.44 multiply(sk_c9,identity)=sk_c11|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1106,f193])).
% 0.15/0.44 fof(f1136,plain,(
% 0.15/0.44 multiply(sk_c2,identity)=sk_c9|~sQ11_spl|~sQ38_spl|~sQ12_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1106,f167])).
% 0.15/0.44 fof(f1139,plain,(
% 0.15/0.44 ~identity=sk_c11|~sQ11_spl|~sQ38_spl|sQ19_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f56,f1122])).
% 0.15/0.44 fof(f1144,plain,(
% 0.15/0.44 ~inverse(identity)=sk_c10|~sQ11_spl|~sQ38_spl|sQ52_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1106,f446])).
% 0.15/0.44 fof(f1145,plain,(
% 0.15/0.44 ~inverse(identity)=identity|~sQ11_spl|~sQ38_spl|sQ52_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1106,f1144])).
% 0.15/0.44 fof(f1148,plain,(
% 0.15/0.44 multiply(identity,sk_c2)=identity|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f1132,f56])).
% 0.15/0.44 fof(f1150,plain,(
% 0.15/0.44 sk_c2=identity|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f1148])).
% 0.15/0.44 fof(f1151,plain,(
% 0.15/0.44 ~multiply(identity,inverse(identity))=sk_c11|~multiply(inverse(identity),identity)=sk_c11|~inverse(inverse(identity))=inverse(identity)|~sQ11_spl|~sQ38_spl|~sQ17_spl),
% 0.15/0.44 inference(resolution,[status(thm)],[f1133,f55])).
% 0.15/0.44 fof(f1152,plain,(
% 0.15/0.44 ![X0]: (~inverse(identity)=sk_c11|~multiply(inverse(identity),identity)=sk_c11|~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ11_spl|~sQ38_spl|~sQ17_spl)),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f55,f1133])).
% 0.15/0.44 fof(f1156,definition,(
% 0.15/0.44 sQ89_spl <=> (multiply(inverse(identity),identity)=sk_c11)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f1159,plain,(
% 0.15/0.44 ~sQ18_spl|~sQ89_spl|~sQ20_spl|~sQ11_spl|~sQ38_spl|~sQ17_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f1151,f246,f1156,f252,f153,f313,f211])).
% 0.15/0.44 fof(f1160,plain,(
% 0.15/0.44 ~sQ21_spl|~sQ89_spl|sQ22_spl|~sQ11_spl|~sQ38_spl|~sQ17_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f1152,f256,f1156,f259,f153,f313,f211])).
% 0.15/0.44 fof(f1205,plain,(
% 0.15/0.44 identity=multiply(inverse(sk_c2),sk_c9)|~sQ11_spl|~sQ38_spl|~sQ12_spl),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f1136,f231])).
% 0.15/0.44 fof(f1207,plain,(
% 0.15/0.44 identity=multiply(identity,sk_c9)|~sQ13_spl|~sQ11_spl|~sQ38_spl|~sQ12_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1132,f1205])).
% 0.15/0.44 fof(f1208,plain,(
% 0.15/0.44 identity=sk_c9|~sQ13_spl|~sQ11_spl|~sQ38_spl|~sQ12_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f1207])).
% 0.15/0.44 fof(f1217,plain,(
% 0.15/0.44 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c9,multiply(identity,X0))|~sQ11_spl|~sQ38_spl|~sQ14_spl)),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1106,f341])).
% 0.15/0.44 fof(f1218,plain,(
% 0.15/0.44 multiply(sk_c11,identity)=sk_c11|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1219,f1135])).
% 0.15/0.44 fof(f1219,plain,(
% 0.15/0.44 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c9,X0)|~sQ11_spl|~sQ38_spl|~sQ14_spl)),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f1217])).
% 0.15/0.44 fof(f1407,plain,(
% 0.15/0.44 inverse(identity)=identity|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1150,f1132])).
% 0.15/0.44 fof(f1409,plain,(
% 0.15/0.44 $false|sQ52_spl|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1407,f1145])).
% 0.15/0.44 fof(f1410,plain,(
% 0.15/0.44 sQ52_spl|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1409])).
% 0.15/0.44 fof(f1419,plain,(
% 0.15/0.44 $false|sQ72_spl|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1407,f1125])).
% 0.15/0.44 fof(f1420,plain,(
% 0.15/0.44 sQ72_spl|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1419])).
% 0.15/0.44 fof(f1424,plain,(
% 0.15/0.44 ~inverse(inverse(identity))=identity|~sQ11_spl|~sQ38_spl|~sQ13_spl|sQ20_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1407,f254])).
% 0.15/0.44 fof(f1425,plain,(
% 0.15/0.44 ![X0]: (~multiply(identity,identity)=sk_c11|~multiply(inverse(identity),identity)=sk_c11|~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ17_spl|~sQ11_spl|~sQ38_spl|~sQ13_spl)),
% 0.15/0.44 inference(paramodulation,[status(thm)],[f1407,f1133])).
% 0.15/0.44 fof(f1428,plain,(
% 0.15/0.44 ~inverse(identity)=identity|~sQ11_spl|~sQ38_spl|~sQ13_spl|sQ20_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1407,f1424])).
% 0.15/0.44 fof(f1429,plain,(
% 0.15/0.44 ~identity=identity|~sQ11_spl|~sQ38_spl|~sQ13_spl|sQ20_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1407,f1428])).
% 0.15/0.44 fof(f1430,plain,(
% 0.15/0.44 $false|~sQ11_spl|~sQ38_spl|~sQ13_spl|sQ20_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f1429])).
% 0.15/0.44 fof(f1431,plain,(
% 0.15/0.44 ~sQ11_spl|~sQ38_spl|~sQ13_spl|sQ20_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1430])).
% 0.15/0.44 fof(f1432,definition,(
% 0.15/0.44 sQ120_spl <=> (multiply(identity,identity)=sk_c11)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f1435,plain,(
% 0.15/0.44 ~sQ120_spl|~sQ89_spl|sQ22_spl|~sQ17_spl|~sQ11_spl|~sQ38_spl|~sQ13_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f1425,f1432,f1156,f259,f211,f153,f313,f179])).
% 0.15/0.44 fof(f1467,plain,(
% 0.15/0.44 ![X0]: (multiply(sk_c11,X0)=multiply(identity,multiply(sk_c10,X0))|~sQ13_spl|~sQ11_spl|~sQ38_spl|~sQ12_spl|~sQ14_spl)),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1208,f1068])).
% 0.15/0.44 fof(f1468,plain,(
% 0.15/0.44 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c10,X0)|~sQ13_spl|~sQ11_spl|~sQ38_spl|~sQ12_spl|~sQ14_spl)),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f1467])).
% 0.15/0.44 fof(f1469,plain,(
% 0.15/0.44 ![X0]: (multiply(sk_c11,X0)=multiply(identity,X0)|~sQ13_spl|~sQ11_spl|~sQ38_spl|~sQ12_spl|~sQ14_spl)),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1106,f1468])).
% 0.15/0.44 fof(f1471,plain,(
% 0.15/0.44 identity=sk_c11|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1473,f1218])).
% 0.15/0.44 fof(f1473,plain,(
% 0.15/0.44 ![X0]: (multiply(sk_c11,X0)=X0|~sQ13_spl|~sQ11_spl|~sQ38_spl|~sQ12_spl|~sQ14_spl)),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f1469])).
% 0.15/0.44 fof(f1481,plain,(
% 0.15/0.44 $false|sQ19_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.15/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1471,f1139])).
% 0.15/0.44 fof(f1482,plain,(
% 0.15/0.44 sQ19_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ38_spl|~sQ14_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1481])).
% 0.15/0.44 fof(f1523,plain,(
% 0.15/0.44 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),identity)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ13_spl|~sQ12_spl|~sQ14_spl|~sQ11_spl|~sQ38_spl|~sQ17_spl)),
% 0.15/0.44 inference(backward_demodulation,[status(thm)],[f1471,f1133])).
% 0.15/0.44 fof(f1535,plain,(
% 0.15/0.44 ![X0,X1]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),identity)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ13_spl|~sQ12_spl|~sQ14_spl|~sQ11_spl|~sQ38_spl|~sQ17_spl)),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1471,f1523])).
% 0.15/0.44 fof(f1550,plain,(
% 0.15/0.44 ![X0]: (~multiply(identity,inverse(identity))=identity|~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ13_spl|~sQ12_spl|~sQ14_spl|~sQ11_spl|~sQ38_spl|~sQ17_spl)),
% 0.15/0.44 inference(resolution,[status(thm)],[f1535,f56])).
% 0.15/0.44 fof(f1555,definition,(
% 0.15/0.44 sQ127_spl <=> (multiply(identity,inverse(identity))=identity)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f1557,plain,(
% 0.15/0.44 ~multiply(identity,inverse(identity))=identity|sQ127_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f1555])).
% 0.15/0.44 fof(f1558,plain,(
% 0.15/0.44 ~sQ127_spl|sQ22_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl|~sQ11_spl|~sQ38_spl|~sQ17_spl),
% 0.15/0.44 inference(split_clause,[status(thm)],[f1550,f1555,f259,f179,f166,f192,f153,f313,f211])).
% 0.15/0.44 fof(f1559,definition,(
% 0.15/0.44 sQ128_spl <=> (multiply(inverse(identity),identity)=identity)),
% 0.15/0.44 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 0.15/0.44 fof(f1561,plain,(
% 0.15/0.44 ~multiply(inverse(identity),identity)=identity|sQ128_spl),
% 0.15/0.44 inference(component_clause,[status(thm)],[f1559])).
% 0.15/0.44 fof(f1571,plain,(
% 0.15/0.44 ~identity=identity|sQ128_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f56,f1561])).
% 0.15/0.44 fof(f1572,plain,(
% 0.15/0.44 $false|sQ128_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f1571])).
% 0.15/0.44 fof(f1573,plain,(
% 0.15/0.44 sQ128_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1572])).
% 0.15/0.44 fof(f1574,plain,(
% 0.15/0.44 ~inverse(identity)=identity|sQ127_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f55,f1557])).
% 0.15/0.44 fof(f1575,plain,(
% 0.15/0.44 ~identity=identity|~sQ11_spl|~sQ38_spl|~sQ13_spl|sQ127_spl),
% 0.15/0.44 inference(forward_demodulation,[status(thm)],[f1407,f1574])).
% 0.15/0.44 fof(f1576,plain,(
% 0.15/0.44 $false|~sQ11_spl|~sQ38_spl|~sQ13_spl|sQ127_spl),
% 0.15/0.44 inference(trivial_equality_resolution,[status(thm)],[f1575])).
% 0.15/0.44 fof(f1577,plain,(
% 0.15/0.44 ~sQ11_spl|~sQ38_spl|~sQ13_spl|sQ127_spl),
% 0.15/0.44 inference(contradiction_clause,[status(thm)],[f1576])).
% 0.15/0.44 fof(f1578,plain,(
% 0.15/0.44 $false),
% 0.15/0.44 inference(sat_refutation,[status(thm)],[f116,f120,f124,f128,f132,f136,f140,f144,f148,f156,f157,f158,f159,f160,f161,f162,f163,f164,f170,f171,f172,f173,f174,f175,f176,f177,f178,f182,f183,f184,f185,f186,f187,f188,f189,f190,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f214,f255,f262,f289,f319,f353,f364,f376,f378,f518,f557,f559,f589,f630,f637,f712,f728,f729,f952,f1031,f1050,f1062,f1096,f1100,f1102,f1108,f1159,f1160,f1410,f1420,f1431,f1435,f1482,f1558,f1573,f1577])).
% 0.15/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.45 % Elapsed time: 0.074522 seconds
% 0.15/0.45 % CPU time: 0.341471 seconds
% 0.15/0.45 % Total memory used: 108.747 MB
% 0.15/0.45 % Net memory used: 108.452 MB
%------------------------------------------------------------------------------