%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP378-1 : 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 : n015.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 12:36:32 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP378-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.53 % Computer : n015.cluster.edu
% 0.08/0.53 % Model : x86_64 x86_64
% 0.08/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.53 % Memory : 8046.5625MB
% 0.08/0.53 % OS : Linux 6.8.0-71-generic
% 0.08/0.53 % CPULimit : 300
% 0.08/0.53 % WCLimit : 300
% 0.08/0.53 % DateTime : Sun Sep 20 20:14:05 UTC 2026
% 0.08/0.54 % CPUTime :
% 0.08/0.55 % Drodi V4.1.1
% 0.13/0.59 % Refutation found
% 0.13/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.59 fof(f1,axiom,(
% 0.13/0.59 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f2,axiom,(
% 0.13/0.59 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f3,axiom,(
% 0.13/0.59 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f4,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f5,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f6,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c11) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f7,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c11) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f8,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f9,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f10,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c11) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f11,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c11) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f12,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c11) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f14,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f15,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f16,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f17,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f18,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f19,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f20,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f21,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f22,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f24,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c1,sk_c2) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f25,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f26,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c1,sk_c2) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f27,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f28,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c1,sk_c2) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f29,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f30,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c1,sk_c2) = sk_c11| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f31,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f32,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f34,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c1) = sk_c2| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f35,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c1) = sk_c2| inverse(sk_c3) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f36,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f37,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f38,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f39,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f40,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f41,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c1) = sk_c2| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f42,negated_conjecture,(
% 0.13/0.59 ( inverse(sk_c1) = sk_c2| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f44,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c2,sk_c10) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f45,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f46,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c2,sk_c10) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f47,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f48,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c2,sk_c10) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f49,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f50,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c2,sk_c10) = sk_c11| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f51,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f52,negated_conjecture,(
% 0.13/0.59 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f54,negated_conjecture,(
% 0.13/0.59 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( inverse(sk_c11) != sk_c10| multiply(sk_c11,sk_c9) != sk_c10| multiply(X3,X4) != sk_c11| inverse(X3) != X4| multiply(X4,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 ) ))),
% 0.13/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.59 fof(f55,plain,(
% 0.13/0.59 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.60 fof(f56,plain,(
% 0.13/0.60 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.60 fof(f57,plain,(
% 0.13/0.60 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.60 fof(f58,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.60 fof(f59,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.60 fof(f60,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.60 fof(f61,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.60 fof(f62,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.60 fof(f63,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.60 fof(f64,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.60 fof(f65,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.60 fof(f66,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.60 fof(f68,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.60 fof(f69,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.60 fof(f70,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.60 fof(f71,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.60 fof(f72,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.60 fof(f73,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.60 fof(f74,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.60 fof(f75,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.60 fof(f76,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.60 fof(f78,plain,(
% 0.13/0.60 multiply(sk_c1,sk_c2)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.60 fof(f79,plain,(
% 0.13/0.60 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.60 fof(f80,plain,(
% 0.13/0.60 multiply(sk_c1,sk_c2)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.60 fof(f81,plain,(
% 0.13/0.60 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.60 fof(f82,plain,(
% 0.13/0.60 multiply(sk_c1,sk_c2)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.60 fof(f83,plain,(
% 0.13/0.60 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.60 fof(f84,plain,(
% 0.13/0.60 multiply(sk_c1,sk_c2)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.60 fof(f85,plain,(
% 0.13/0.60 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c7)=sk_c6),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.60 fof(f86,plain,(
% 0.13/0.60 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c6)=sk_c8),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.60 fof(f88,plain,(
% 0.13/0.60 inverse(sk_c1)=sk_c2|multiply(sk_c3,sk_c11)=sk_c10),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.60 fof(f89,plain,(
% 0.13/0.60 inverse(sk_c1)=sk_c2|inverse(sk_c3)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.60 fof(f90,plain,(
% 0.13/0.60 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.60 fof(f91,plain,(
% 0.13/0.60 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c10),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.60 fof(f92,plain,(
% 0.13/0.60 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c8)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.60 fof(f93,plain,(
% 0.13/0.60 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.60 fof(f94,plain,(
% 0.13/0.60 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c10)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.60 fof(f95,plain,(
% 0.13/0.60 inverse(sk_c1)=sk_c2|inverse(sk_c7)=sk_c6),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.60 fof(f96,plain,(
% 0.13/0.60 inverse(sk_c1)=sk_c2|inverse(sk_c6)=sk_c8),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.60 fof(f98,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c10)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/0.60 fof(f99,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.60 fof(f100,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c10)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.60 fof(f101,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.60 fof(f102,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c10)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.60 fof(f103,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f49])).
% 0.13/0.60 fof(f104,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c10)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.60 fof(f105,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c7)=sk_c6),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.60 fof(f106,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c6)=sk_c8),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f52])).
% 0.13/0.60 fof(f108,plain,(
% 0.13/0.60 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: (((![X4]: ((![X3]: (((~inverse(sk_c11)=sk_c10|~multiply(sk_c11,sk_c9)=sk_c10)|~multiply(X3,X4)=sk_c11)|~inverse(X3)=X4))|~multiply(X4,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)),
% 0.13/0.60 inference(miniscoping,[status(thm)],[f54])).
% 0.13/0.60 fof(f109,plain,(
% 0.13/0.60 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~inverse(sk_c11)=sk_c10|~multiply(sk_c11,sk_c9)=sk_c10|~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,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)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f108])).
% 0.13/0.60 fof(f110,definition,(
% 0.13/0.60 sQ0_spl <=> (inverse(sk_c11)=sk_c10)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f111,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c10|~sQ0_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f110])).
% 0.13/0.60 fof(f112,plain,(
% 0.13/0.60 ~inverse(sk_c11)=sk_c10|sQ0_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f110])).
% 0.13/0.60 fof(f113,definition,(
% 0.13/0.60 sQ1_spl <=> (multiply(sk_c3,sk_c11)=sk_c10)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f114,plain,(
% 0.13/0.60 multiply(sk_c3,sk_c11)=sk_c10|~sQ1_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f113])).
% 0.13/0.60 fof(f116,plain,(
% 0.13/0.60 sQ0_spl|sQ1_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f58,f110,f113])).
% 0.13/0.60 fof(f117,definition,(
% 0.13/0.60 sQ2_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f118,plain,(
% 0.13/0.60 inverse(sk_c3)=sk_c11|~sQ2_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.60 fof(f120,plain,(
% 0.13/0.60 sQ0_spl|sQ2_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f59,f110,f117])).
% 0.13/0.60 fof(f121,definition,(
% 0.13/0.60 sQ3_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f122,plain,(
% 0.13/0.60 multiply(sk_c4,sk_c10)=sk_c9|~sQ3_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.60 fof(f124,plain,(
% 0.13/0.60 sQ0_spl|sQ3_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f60,f110,f121])).
% 0.13/0.60 fof(f125,definition,(
% 0.13/0.60 sQ4_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f126,plain,(
% 0.13/0.60 inverse(sk_c4)=sk_c10|~sQ4_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.60 fof(f128,plain,(
% 0.13/0.60 sQ0_spl|sQ4_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f61,f110,f125])).
% 0.13/0.60 fof(f129,definition,(
% 0.13/0.60 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c11)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f130,plain,(
% 0.13/0.60 multiply(sk_c5,sk_c8)=sk_c11|~sQ5_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f129])).
% 0.13/0.60 fof(f132,plain,(
% 0.13/0.60 sQ0_spl|sQ5_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f62,f110,f129])).
% 0.13/0.60 fof(f133,definition,(
% 0.13/0.60 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f134,plain,(
% 0.13/0.60 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.60 fof(f136,plain,(
% 0.13/0.60 sQ0_spl|sQ6_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f63,f110,f133])).
% 0.13/0.60 fof(f137,definition,(
% 0.13/0.60 sQ7_spl <=> (multiply(sk_c8,sk_c10)=sk_c11)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f138,plain,(
% 0.13/0.60 multiply(sk_c8,sk_c10)=sk_c11|~sQ7_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f137])).
% 0.13/0.60 fof(f140,plain,(
% 0.13/0.60 sQ0_spl|sQ7_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f64,f110,f137])).
% 0.13/0.60 fof(f141,definition,(
% 0.13/0.60 sQ8_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f142,plain,(
% 0.13/0.60 inverse(sk_c7)=sk_c6|~sQ8_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f141])).
% 0.13/0.60 fof(f144,plain,(
% 0.13/0.60 sQ0_spl|sQ8_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f65,f110,f141])).
% 0.13/0.60 fof(f145,definition,(
% 0.13/0.60 sQ9_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f146,plain,(
% 0.13/0.60 inverse(sk_c6)=sk_c8|~sQ9_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f145])).
% 0.13/0.60 fof(f148,plain,(
% 0.13/0.60 sQ0_spl|sQ9_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f66,f110,f145])).
% 0.13/0.60 fof(f153,definition,(
% 0.13/0.60 sQ11_spl <=> (multiply(sk_c11,sk_c9)=sk_c10)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f154,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c9)=sk_c10|~sQ11_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f153])).
% 0.13/0.60 fof(f155,plain,(
% 0.13/0.60 ~multiply(sk_c11,sk_c9)=sk_c10|sQ11_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f153])).
% 0.13/0.60 fof(f156,plain,(
% 0.13/0.60 sQ11_spl|sQ1_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f68,f153,f113])).
% 0.13/0.60 fof(f157,plain,(
% 0.13/0.60 sQ11_spl|sQ2_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f69,f153,f117])).
% 0.13/0.60 fof(f158,plain,(
% 0.13/0.60 sQ11_spl|sQ3_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f70,f153,f121])).
% 0.13/0.60 fof(f159,plain,(
% 0.13/0.60 sQ11_spl|sQ4_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f71,f153,f125])).
% 0.13/0.60 fof(f160,plain,(
% 0.13/0.60 sQ11_spl|sQ5_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f72,f153,f129])).
% 0.13/0.60 fof(f161,plain,(
% 0.13/0.60 sQ11_spl|sQ6_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f73,f153,f133])).
% 0.13/0.60 fof(f162,plain,(
% 0.13/0.60 sQ11_spl|sQ7_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f74,f153,f137])).
% 0.13/0.60 fof(f163,plain,(
% 0.13/0.60 sQ11_spl|sQ8_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f75,f153,f141])).
% 0.13/0.60 fof(f164,plain,(
% 0.13/0.60 sQ11_spl|sQ9_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f76,f153,f145])).
% 0.13/0.60 fof(f166,definition,(
% 0.13/0.60 sQ12_spl <=> (multiply(sk_c1,sk_c2)=sk_c11)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f167,plain,(
% 0.13/0.60 multiply(sk_c1,sk_c2)=sk_c11|~sQ12_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f166])).
% 0.13/0.60 fof(f169,plain,(
% 0.13/0.60 sQ12_spl|sQ1_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f78,f166,f113])).
% 0.13/0.60 fof(f170,plain,(
% 0.13/0.60 sQ12_spl|sQ2_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f79,f166,f117])).
% 0.13/0.60 fof(f171,plain,(
% 0.13/0.60 sQ12_spl|sQ3_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f80,f166,f121])).
% 0.13/0.60 fof(f172,plain,(
% 0.13/0.60 sQ12_spl|sQ4_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f81,f166,f125])).
% 0.13/0.60 fof(f173,plain,(
% 0.13/0.60 sQ12_spl|sQ5_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f82,f166,f129])).
% 0.13/0.60 fof(f174,plain,(
% 0.13/0.60 sQ12_spl|sQ6_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f83,f166,f133])).
% 0.13/0.60 fof(f175,plain,(
% 0.13/0.60 sQ12_spl|sQ7_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f84,f166,f137])).
% 0.13/0.60 fof(f176,plain,(
% 0.13/0.60 sQ12_spl|sQ8_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f85,f166,f141])).
% 0.13/0.60 fof(f177,plain,(
% 0.13/0.60 sQ12_spl|sQ9_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f86,f166,f145])).
% 0.13/0.60 fof(f179,definition,(
% 0.13/0.60 sQ13_spl <=> (inverse(sk_c1)=sk_c2)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f180,plain,(
% 0.13/0.60 inverse(sk_c1)=sk_c2|~sQ13_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f179])).
% 0.13/0.60 fof(f182,plain,(
% 0.13/0.60 sQ13_spl|sQ1_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f88,f179,f113])).
% 0.13/0.60 fof(f183,plain,(
% 0.13/0.60 sQ13_spl|sQ2_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f89,f179,f117])).
% 0.13/0.60 fof(f184,plain,(
% 0.13/0.60 sQ13_spl|sQ3_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f90,f179,f121])).
% 0.13/0.60 fof(f185,plain,(
% 0.13/0.60 sQ13_spl|sQ4_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f91,f179,f125])).
% 0.13/0.60 fof(f186,plain,(
% 0.13/0.60 sQ13_spl|sQ5_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f92,f179,f129])).
% 0.13/0.60 fof(f187,plain,(
% 0.13/0.60 sQ13_spl|sQ6_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f93,f179,f133])).
% 0.13/0.60 fof(f188,plain,(
% 0.13/0.60 sQ13_spl|sQ7_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f94,f179,f137])).
% 0.13/0.60 fof(f189,plain,(
% 0.13/0.60 sQ13_spl|sQ8_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f95,f179,f141])).
% 0.13/0.60 fof(f190,plain,(
% 0.13/0.60 sQ13_spl|sQ9_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f96,f179,f145])).
% 0.13/0.60 fof(f192,definition,(
% 0.13/0.60 sQ14_spl <=> (multiply(sk_c2,sk_c10)=sk_c11)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f193,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c10)=sk_c11|~sQ14_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f192])).
% 0.13/0.60 fof(f195,plain,(
% 0.13/0.60 sQ14_spl|sQ1_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f98,f192,f113])).
% 0.13/0.60 fof(f196,plain,(
% 0.13/0.60 sQ14_spl|sQ2_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f99,f192,f117])).
% 0.13/0.60 fof(f197,plain,(
% 0.13/0.60 sQ14_spl|sQ3_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f100,f192,f121])).
% 0.13/0.60 fof(f198,plain,(
% 0.13/0.60 sQ14_spl|sQ4_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f101,f192,f125])).
% 0.13/0.60 fof(f199,plain,(
% 0.13/0.60 sQ14_spl|sQ5_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f102,f192,f129])).
% 0.13/0.60 fof(f200,plain,(
% 0.13/0.60 sQ14_spl|sQ6_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f103,f192,f133])).
% 0.13/0.60 fof(f201,plain,(
% 0.13/0.60 sQ14_spl|sQ7_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f104,f192,f137])).
% 0.13/0.60 fof(f202,plain,(
% 0.13/0.60 sQ14_spl|sQ8_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f105,f192,f141])).
% 0.13/0.60 fof(f203,plain,(
% 0.13/0.60 sQ14_spl|sQ9_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f106,f192,f145])).
% 0.13/0.60 fof(f205,definition,(
% 0.13/0.60 ![X0,X1]: (sQ15_spl <=> (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f206,plain,(
% 0.13/0.60 ![X0,X1]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~sQ15_spl)),
% 0.13/0.60 inference(component_clause,[status(thm)],[f205])).
% 0.13/0.60 fof(f208,definition,(
% 0.13/0.60 ![X2]: (sQ16_spl <=> (~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f209,plain,(
% 0.13/0.60 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ16_spl)),
% 0.13/0.60 inference(component_clause,[status(thm)],[f208])).
% 0.13/0.60 fof(f211,definition,(
% 0.13/0.60 ![X3]: (sQ17_spl <=> (~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f212,plain,(
% 0.13/0.60 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ17_spl)),
% 0.13/0.60 inference(component_clause,[status(thm)],[f211])).
% 0.13/0.60 fof(f214,definition,(
% 0.13/0.60 ![X4,X5,X6,X7]: (sQ18_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))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f215,plain,(
% 0.13/0.60 ![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|~sQ18_spl)),
% 0.13/0.60 inference(component_clause,[status(thm)],[f214])).
% 0.13/0.60 fof(f217,plain,(
% 0.13/0.60 ~sQ0_spl|~sQ11_spl|sQ15_spl|sQ16_spl|sQ17_spl|sQ18_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f109,f110,f153,f205,f208,f211,f214])).
% 0.13/0.60 fof(f218,plain,(
% 0.13/0.60 ![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)|~sQ18_spl)),
% 0.13/0.60 inference(destructive_equality_resolution,[status(thm)],[f215])).
% 0.13/0.60 fof(f220,plain,(
% 0.13/0.60 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c11,multiply(sk_c9,X0))|~sQ11_spl)),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f154,f57])).
% 0.13/0.60 fof(f223,plain,(
% 0.13/0.60 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~sQ5_spl)),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f130,f57])).
% 0.13/0.60 fof(f268,definition,(
% 0.13/0.60 sQ28_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c11)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f270,plain,(
% 0.13/0.60 ~multiply(sk_c5,inverse(sk_c5))=sk_c11|sQ28_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f268])).
% 0.13/0.60 fof(f315,plain,(
% 0.13/0.60 ~sk_c9=sk_c9|~inverse(sk_c4)=sk_c10|~sQ17_spl|~sQ3_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f122,f212])).
% 0.13/0.60 fof(f318,definition,(
% 0.13/0.60 sQ40_spl <=> (sk_c9=sk_c9)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f320,plain,(
% 0.13/0.60 ~sk_c9=sk_c9|sQ40_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f318])).
% 0.13/0.60 fof(f321,plain,(
% 0.13/0.60 ~sQ40_spl|~sQ4_spl|~sQ17_spl|~sQ3_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f315,f318,f125,f211,f121])).
% 0.13/0.60 fof(f333,plain,(
% 0.13/0.60 $false|sQ40_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f320])).
% 0.13/0.60 fof(f334,plain,(
% 0.13/0.60 sQ40_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f333])).
% 0.13/0.60 fof(f337,plain,(
% 0.13/0.60 multiply(sk_c6,sk_c7)=identity|~sQ8_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f142,f56])).
% 0.13/0.60 fof(f341,plain,(
% 0.13/0.60 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f56,f57])).
% 0.13/0.60 fof(f342,plain,(
% 0.13/0.60 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f55,f341])).
% 0.13/0.60 fof(f351,plain,(
% 0.13/0.60 ~inverse(sk_c3)=sk_c11|~sQ16_spl|~sQ1_spl),
% 0.13/0.60 inference(resolution,[status(thm)],[f209,f114])).
% 0.13/0.60 fof(f353,plain,(
% 0.13/0.60 ~sk_c11=sk_c10|~inverse(identity)=sk_c11|~sQ16_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f55,f209])).
% 0.13/0.60 fof(f356,plain,(
% 0.13/0.60 ~sk_c11=sk_c11|~sQ2_spl|~sQ16_spl|~sQ1_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f118,f351])).
% 0.13/0.60 fof(f357,plain,(
% 0.13/0.60 $false|~sQ2_spl|~sQ16_spl|~sQ1_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f356])).
% 0.13/0.60 fof(f358,plain,(
% 0.13/0.60 ~sQ2_spl|~sQ16_spl|~sQ1_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f357])).
% 0.13/0.60 fof(f359,plain,(
% 0.13/0.60 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~sQ15_spl)),
% 0.13/0.60 inference(destructive_equality_resolution,[status(thm)],[f206])).
% 0.13/0.60 fof(f363,plain,(
% 0.13/0.60 ~multiply(sk_c5,inverse(sk_c5))=sk_c11|~multiply(sk_c8,sk_c10)=sk_c11|~sQ15_spl|~sQ6_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f134,f359])).
% 0.13/0.60 fof(f378,plain,(
% 0.13/0.60 ~sQ28_spl|~sQ7_spl|~sQ15_spl|~sQ6_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f363,f268,f137,f205,f133])).
% 0.13/0.60 fof(f408,plain,(
% 0.13/0.60 ~multiply(sk_c5,sk_c8)=sk_c11|~sQ6_spl|sQ28_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f134,f270])).
% 0.13/0.60 fof(f409,plain,(
% 0.13/0.60 ~sk_c11=sk_c11|~sQ5_spl|~sQ6_spl|sQ28_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f130,f408])).
% 0.13/0.60 fof(f410,plain,(
% 0.13/0.60 $false|~sQ5_spl|~sQ6_spl|sQ28_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f409])).
% 0.13/0.60 fof(f411,plain,(
% 0.13/0.60 ~sQ5_spl|~sQ6_spl|sQ28_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f410])).
% 0.13/0.60 fof(f420,plain,(
% 0.13/0.60 sk_c7=multiply(inverse(sk_c6),identity)|~sQ8_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f337,f342])).
% 0.13/0.60 fof(f426,plain,(
% 0.13/0.60 sk_c11=multiply(inverse(sk_c3),sk_c10)|~sQ1_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f114,f342])).
% 0.13/0.60 fof(f427,plain,(
% 0.13/0.60 sk_c10=multiply(inverse(sk_c4),sk_c9)|~sQ3_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f122,f342])).
% 0.13/0.60 fof(f428,plain,(
% 0.13/0.60 sk_c8=multiply(inverse(sk_c5),sk_c11)|~sQ5_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f130,f342])).
% 0.13/0.60 fof(f435,plain,(
% 0.13/0.60 sk_c7=multiply(sk_c8,identity)|~sQ9_spl|~sQ8_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f146,f420])).
% 0.13/0.60 fof(f437,plain,(
% 0.13/0.60 sk_c11=multiply(sk_c11,sk_c10)|~sQ2_spl|~sQ1_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f118,f426])).
% 0.13/0.60 fof(f438,plain,(
% 0.13/0.60 sk_c10=multiply(sk_c10,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f126,f427])).
% 0.13/0.60 fof(f439,plain,(
% 0.13/0.60 sk_c8=multiply(sk_c8,sk_c11)|~sQ6_spl|~sQ5_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f134,f428])).
% 0.13/0.60 fof(f467,plain,(
% 0.13/0.60 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ2_spl|~sQ1_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f437,f342])).
% 0.13/0.60 fof(f470,plain,(
% 0.13/0.60 sk_c10=identity|~sQ2_spl|~sQ1_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f56,f467])).
% 0.13/0.60 fof(f472,plain,(
% 0.13/0.60 sk_c7=multiply(sk_c8,sk_c10)|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f470,f435])).
% 0.13/0.60 fof(f478,plain,(
% 0.13/0.60 ![X0]: (multiply(inverse(X0),X0)=sk_c10|~sQ2_spl|~sQ1_spl)),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f470,f56])).
% 0.13/0.60 fof(f479,plain,(
% 0.13/0.60 ![X0]: (multiply(sk_c10,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f470,f55])).
% 0.13/0.60 fof(f484,plain,(
% 0.13/0.60 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f493,f479])).
% 0.13/0.60 fof(f486,plain,(
% 0.13/0.60 sk_c11=multiply(sk_c11,sk_c9)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f493,f437])).
% 0.13/0.60 fof(f487,plain,(
% 0.13/0.60 ~multiply(sk_c11,sk_c9)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ11_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f493,f155])).
% 0.13/0.60 fof(f488,plain,(
% 0.13/0.60 inverse(sk_c4)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f493,f126])).
% 0.13/0.60 fof(f491,plain,(
% 0.13/0.60 multiply(sk_c8,sk_c9)=sk_c11|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f493,f138])).
% 0.13/0.60 fof(f493,plain,(
% 0.13/0.60 sk_c10=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f479,f438])).
% 0.13/0.60 fof(f501,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c11)=multiply(sk_c5,sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f439,f223])).
% 0.13/0.60 fof(f504,plain,(
% 0.13/0.60 multiply(sk_c11,sk_c11)=sk_c11|~sQ6_spl|~sQ5_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f130,f501])).
% 0.13/0.60 fof(f514,plain,(
% 0.13/0.60 sk_c7=multiply(sk_c8,sk_c9)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f493,f472])).
% 0.13/0.60 fof(f519,plain,(
% 0.13/0.60 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f493,f478])).
% 0.13/0.60 fof(f521,plain,(
% 0.13/0.60 multiply(sk_c9,sk_c4)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f488,f519])).
% 0.13/0.60 fof(f529,plain,(
% 0.13/0.60 sk_c4=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f484,f521])).
% 0.13/0.60 fof(f536,plain,(
% 0.13/0.60 inverse(sk_c9)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f529,f488])).
% 0.13/0.60 fof(f566,plain,(
% 0.13/0.60 ~sk_c11=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ11_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f486,f487])).
% 0.13/0.60 fof(f569,plain,(
% 0.13/0.60 ~sk_c7=sk_c9|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ11_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f577,f566])).
% 0.13/0.60 fof(f577,plain,(
% 0.13/0.60 sk_c7=sk_c11|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f514,f491])).
% 0.13/0.60 fof(f593,plain,(
% 0.13/0.60 multiply(sk_c7,sk_c11)=sk_c11|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f577,f504])).
% 0.13/0.60 fof(f594,plain,(
% 0.13/0.60 multiply(sk_c7,sk_c7)=sk_c11|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f577,f593])).
% 0.13/0.60 fof(f595,plain,(
% 0.13/0.60 multiply(sk_c7,sk_c7)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f577,f594])).
% 0.13/0.60 fof(f596,plain,(
% 0.13/0.60 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f595,f342])).
% 0.13/0.60 fof(f598,plain,(
% 0.13/0.60 sk_c7=sk_c9|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f519,f596])).
% 0.13/0.60 fof(f599,plain,(
% 0.13/0.60 $false|sQ11_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.60 inference(forward_subsumption_resolution,[status(thm)],[f598,f569])).
% 0.13/0.60 fof(f600,plain,(
% 0.13/0.60 sQ11_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f599])).
% 0.13/0.60 fof(f601,plain,(
% 0.13/0.60 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c11,multiply(sk_c9,X0))|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f493,f220])).
% 0.13/0.60 fof(f602,plain,(
% 0.13/0.60 ![X0]: (X0=multiply(sk_c11,multiply(sk_c9,X0))|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f484,f601])).
% 0.13/0.60 fof(f603,plain,(
% 0.13/0.60 ![X0]: (X0=multiply(sk_c7,multiply(sk_c9,X0))|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f577,f602])).
% 0.13/0.60 fof(f604,plain,(
% 0.13/0.60 ![X0]: (X0=multiply(sk_c7,X0)|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f484,f603])).
% 0.13/0.60 fof(f614,plain,(
% 0.13/0.60 ~inverse(sk_c7)=sk_c10|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|sQ0_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f577,f112])).
% 0.13/0.60 fof(f615,plain,(
% 0.13/0.60 ~sk_c6=sk_c10|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|sQ0_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f142,f614])).
% 0.13/0.60 fof(f616,plain,(
% 0.13/0.60 ~sk_c6=sk_c9|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|sQ0_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f493,f615])).
% 0.13/0.60 fof(f622,plain,(
% 0.13/0.60 inverse(sk_c9)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f598,f536])).
% 0.13/0.60 fof(f624,plain,(
% 0.13/0.60 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f598,f519])).
% 0.13/0.60 fof(f629,plain,(
% 0.13/0.60 inverse(sk_c7)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f598,f622])).
% 0.13/0.60 fof(f630,plain,(
% 0.13/0.60 sk_c6=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f142,f629])).
% 0.13/0.60 fof(f631,plain,(
% 0.13/0.60 ~sk_c6=sk_c7|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|sQ0_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f598,f616])).
% 0.13/0.60 fof(f632,plain,(
% 0.13/0.60 $false|sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.60 inference(forward_subsumption_resolution,[status(thm)],[f630,f631])).
% 0.13/0.60 fof(f633,plain,(
% 0.13/0.60 sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f632])).
% 0.13/0.60 fof(f663,plain,(
% 0.13/0.60 inverse(sk_c7)=sk_c10|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f577,f111])).
% 0.13/0.60 fof(f664,plain,(
% 0.13/0.60 sk_c6=sk_c10|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f142,f663])).
% 0.13/0.60 fof(f665,plain,(
% 0.13/0.60 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ18_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f577,f218])).
% 0.13/0.60 fof(f666,plain,(
% 0.13/0.60 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c10)=sk_c7|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ18_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f577,f665])).
% 0.13/0.60 fof(f682,plain,(
% 0.13/0.60 inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ8_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f630,f142])).
% 0.13/0.60 fof(f701,plain,(
% 0.13/0.60 ![X0]: (X0=multiply(sk_c6,X0)|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f630,f604])).
% 0.13/0.60 fof(f709,plain,(
% 0.13/0.60 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f630,f624])).
% 0.13/0.60 fof(f737,plain,(
% 0.13/0.60 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c10)=sk_c7|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ18_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f630,f666])).
% 0.13/0.60 fof(f738,plain,(
% 0.13/0.60 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c6)=sk_c7|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ18_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f664,f737])).
% 0.13/0.60 fof(f739,plain,(
% 0.13/0.60 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c6)=sk_c6|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ18_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f630,f738])).
% 0.13/0.60 fof(f740,plain,(
% 0.13/0.60 ~multiply(sk_c6,inverse(sk_c6))=sk_c6|~multiply(inverse(sk_c6),sk_c6)=sk_c6|~inverse(inverse(sk_c6))=inverse(sk_c6)|~sQ0_spl|~sQ18_spl|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl),
% 0.13/0.60 inference(resolution,[status(thm)],[f739,f701])).
% 0.13/0.60 fof(f745,definition,(
% 0.13/0.60 sQ49_spl <=> (multiply(sk_c6,inverse(sk_c6))=sk_c6)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f747,plain,(
% 0.13/0.60 ~multiply(sk_c6,inverse(sk_c6))=sk_c6|sQ49_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f745])).
% 0.13/0.60 fof(f748,definition,(
% 0.13/0.60 sQ50_spl <=> (multiply(inverse(sk_c6),sk_c6)=sk_c6)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f750,plain,(
% 0.13/0.60 ~multiply(inverse(sk_c6),sk_c6)=sk_c6|sQ50_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f748])).
% 0.13/0.60 fof(f751,definition,(
% 0.13/0.60 sQ51_spl <=> (inverse(inverse(sk_c6))=inverse(sk_c6))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f753,plain,(
% 0.13/0.60 ~inverse(inverse(sk_c6))=inverse(sk_c6)|sQ51_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f751])).
% 0.13/0.60 fof(f754,plain,(
% 0.13/0.60 ~sQ49_spl|~sQ50_spl|~sQ51_spl|~sQ0_spl|~sQ18_spl|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f740,f745,f748,f751,f110,f214,f133,f129,f145,f141,f137,f117,f113,f125,f121,f153])).
% 0.13/0.60 fof(f763,plain,(
% 0.13/0.60 ~sk_c6=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ50_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f709,f750])).
% 0.13/0.60 fof(f764,plain,(
% 0.13/0.60 $false|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ50_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f763])).
% 0.13/0.60 fof(f765,plain,(
% 0.13/0.60 ~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ50_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f764])).
% 0.13/0.60 fof(f766,plain,(
% 0.13/0.60 ~inverse(sk_c6)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl|sQ49_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f701,f747])).
% 0.13/0.60 fof(f767,plain,(
% 0.13/0.60 ~sk_c6=sk_c6|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl|sQ49_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f682,f766])).
% 0.13/0.60 fof(f768,plain,(
% 0.13/0.60 $false|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl|sQ49_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f767])).
% 0.13/0.60 fof(f769,plain,(
% 0.13/0.60 ~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ11_spl|sQ49_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f768])).
% 0.13/0.60 fof(f771,plain,(
% 0.13/0.60 ~inverse(sk_c6)=inverse(sk_c6)|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ8_spl|sQ51_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f682,f753])).
% 0.13/0.60 fof(f772,plain,(
% 0.13/0.60 ~sk_c6=inverse(sk_c6)|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ8_spl|sQ51_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f682,f771])).
% 0.13/0.60 fof(f773,plain,(
% 0.13/0.60 ~sk_c6=sk_c6|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ8_spl|sQ51_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f682,f772])).
% 0.13/0.60 fof(f774,plain,(
% 0.13/0.60 $false|~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ8_spl|sQ51_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f773])).
% 0.13/0.60 fof(f775,plain,(
% 0.13/0.60 ~sQ9_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ8_spl|sQ51_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f774])).
% 0.13/0.60 fof(f780,plain,(
% 0.13/0.60 sk_c2=multiply(inverse(sk_c1),sk_c11)|~sQ12_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f167,f342])).
% 0.13/0.60 fof(f782,plain,(
% 0.13/0.60 sk_c2=multiply(sk_c2,sk_c11)|~sQ13_spl|~sQ12_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f180,f780])).
% 0.13/0.60 fof(f789,plain,(
% 0.13/0.60 multiply(sk_c10,sk_c11)=identity|~sQ0_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f111,f56])).
% 0.13/0.60 fof(f793,plain,(
% 0.13/0.60 sk_c11=multiply(inverse(sk_c2),sk_c2)|~sQ13_spl|~sQ12_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f782,f342])).
% 0.13/0.60 fof(f795,plain,(
% 0.13/0.60 sk_c11=identity|~sQ13_spl|~sQ12_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f56,f793])).
% 0.13/0.60 fof(f796,plain,(
% 0.13/0.60 ![X0]: (multiply(inverse(X0),X0)=sk_c11|~sQ13_spl|~sQ12_spl)),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f795,f56])).
% 0.13/0.60 fof(f797,plain,(
% 0.13/0.60 ![X0]: (multiply(sk_c11,X0)=X0|~sQ13_spl|~sQ12_spl)),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f795,f55])).
% 0.13/0.60 fof(f798,plain,(
% 0.13/0.60 sk_c9=sk_c10|~sQ13_spl|~sQ12_spl|~sQ11_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f797,f154])).
% 0.13/0.60 fof(f800,plain,(
% 0.13/0.60 ![X0]: (X0=multiply(inverse(sk_c11),X0)|~sQ13_spl|~sQ12_spl)),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f797,f342])).
% 0.13/0.60 fof(f802,plain,(
% 0.13/0.60 ![X0]: (X0=multiply(sk_c10,X0)|~sQ0_spl|~sQ13_spl|~sQ12_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f111,f800])).
% 0.13/0.60 fof(f804,plain,(
% 0.13/0.60 ~sk_c10=sk_c9|~inverse(sk_c11)=sk_c10|~sQ17_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f797,f212])).
% 0.13/0.60 fof(f807,definition,(
% 0.13/0.60 sQ53_spl <=> (sk_c10=sk_c9)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f809,plain,(
% 0.13/0.60 ~sk_c10=sk_c9|sQ53_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f807])).
% 0.13/0.60 fof(f810,plain,(
% 0.13/0.60 ~sQ53_spl|~sQ0_spl|~sQ17_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f804,f807,f110,f211,f179,f166])).
% 0.13/0.60 fof(f813,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c9)=sk_c11|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f798,f193])).
% 0.13/0.60 fof(f818,plain,(
% 0.13/0.60 inverse(sk_c11)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f798,f111])).
% 0.13/0.60 fof(f822,plain,(
% 0.13/0.60 ~sk_c9=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ53_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f798,f809])).
% 0.13/0.60 fof(f823,plain,(
% 0.13/0.60 $false|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ53_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f822])).
% 0.13/0.60 fof(f824,plain,(
% 0.13/0.60 ~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ53_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f823])).
% 0.13/0.60 fof(f825,plain,(
% 0.13/0.60 ![X0]: (X0=multiply(sk_c9,X0)|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f798,f802])).
% 0.13/0.60 fof(f826,plain,(
% 0.13/0.60 ![X0]: (X0=multiply(inverse(sk_c9),X0)|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl)),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f825,f342])).
% 0.13/0.60 fof(f866,plain,(
% 0.13/0.60 multiply(sk_c9,sk_c11)=identity|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f798,f789])).
% 0.13/0.60 fof(f867,plain,(
% 0.13/0.60 sk_c11=identity|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f825,f866])).
% 0.13/0.60 fof(f900,definition,(
% 0.13/0.60 sQ54_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c2)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f902,plain,(
% 0.13/0.60 ~multiply(sk_c2,inverse(sk_c2))=sk_c2|sQ54_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f900])).
% 0.13/0.60 fof(f1139,definition,(
% 0.13/0.60 sQ56_spl <=> (multiply(inverse(sk_c2),sk_c2)=sk_c2)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f1141,plain,(
% 0.13/0.60 ~multiply(inverse(sk_c2),sk_c2)=sk_c2|sQ56_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f1139])).
% 0.13/0.60 fof(f1142,definition,(
% 0.13/0.60 sQ57_spl <=> (inverse(inverse(sk_c2))=inverse(sk_c2))),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f1144,plain,(
% 0.13/0.60 ~inverse(inverse(sk_c2))=inverse(sk_c2)|sQ57_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f1142])).
% 0.13/0.60 fof(f1163,plain,(
% 0.13/0.60 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c9)=sk_c11|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ15_spl)),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f798,f359])).
% 0.13/0.60 fof(f1183,plain,(
% 0.13/0.60 sk_c9=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f826,f796])).
% 0.13/0.60 fof(f1190,plain,(
% 0.13/0.60 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl)),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1183,f796])).
% 0.13/0.60 fof(f1194,plain,(
% 0.13/0.60 inverse(sk_c9)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1183,f818])).
% 0.13/0.60 fof(f1195,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c9)=sk_c9|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1183,f813])).
% 0.13/0.60 fof(f1196,plain,(
% 0.13/0.60 sk_c9=identity|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1183,f867])).
% 0.13/0.60 fof(f1208,plain,(
% 0.13/0.60 sk_c2=multiply(sk_c2,sk_c9)|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1183,f782])).
% 0.13/0.60 fof(f1222,plain,(
% 0.13/0.60 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl)),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1231,f1190])).
% 0.13/0.60 fof(f1224,plain,(
% 0.13/0.60 inverse(sk_c9)=sk_c2|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1231,f1194])).
% 0.13/0.60 fof(f1225,plain,(
% 0.13/0.60 sk_c2=identity|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1231,f1196])).
% 0.13/0.60 fof(f1228,plain,(
% 0.13/0.60 sk_c2=sk_c11|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1231,f1183])).
% 0.13/0.60 fof(f1229,plain,(
% 0.13/0.60 ![X0]: (X0=multiply(sk_c2,X0)|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl)),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1231,f825])).
% 0.13/0.60 fof(f1230,plain,(
% 0.13/0.60 sk_c2=sk_c10|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl),
% 0.13/0.60 inference(backward_demodulation,[status(thm)],[f1231,f798])).
% 0.13/0.60 fof(f1231,plain,(
% 0.13/0.60 sk_c2=sk_c9|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1208,f1195])).
% 0.13/0.60 fof(f1233,plain,(
% 0.13/0.60 inverse(sk_c2)=sk_c2|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1231,f1224])).
% 0.13/0.60 fof(f1242,plain,(
% 0.13/0.60 ![X0]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c9)=sk_c11|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ15_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1228,f1163])).
% 0.13/0.60 fof(f1243,plain,(
% 0.13/0.60 ![X0]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c2)=sk_c11|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ15_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1231,f1242])).
% 0.13/0.60 fof(f1244,plain,(
% 0.13/0.60 ![X0]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c2)=sk_c2|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ15_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1228,f1243])).
% 0.13/0.60 fof(f1246,plain,(
% 0.13/0.60 ~multiply(sk_c1,inverse(sk_c1))=sk_c2|~multiply(sk_c2,sk_c2)=sk_c2|~sQ14_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ15_spl|~sQ13_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f180,f1244])).
% 0.13/0.60 fof(f1247,definition,(
% 0.13/0.60 sQ59_spl <=> (multiply(sk_c2,sk_c2)=sk_c2)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f1249,plain,(
% 0.13/0.60 ~multiply(sk_c2,sk_c2)=sk_c2|sQ59_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f1247])).
% 0.13/0.60 fof(f1251,definition,(
% 0.13/0.60 sQ60_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c2)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f1253,plain,(
% 0.13/0.60 ~multiply(sk_c1,inverse(sk_c1))=sk_c2|sQ60_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f1251])).
% 0.13/0.60 fof(f1254,plain,(
% 0.13/0.60 ~sQ60_spl|~sQ59_spl|~sQ14_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ15_spl|~sQ13_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f1246,f1251,f1247,f192,f110,f166,f153,f205,f179])).
% 0.13/0.60 fof(f1255,plain,(
% 0.13/0.60 ~sk_c2=sk_c2|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ59_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1229,f1249])).
% 0.13/0.60 fof(f1256,plain,(
% 0.13/0.60 $false|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ59_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f1255])).
% 0.13/0.60 fof(f1257,plain,(
% 0.13/0.60 ~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ59_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f1256])).
% 0.13/0.60 fof(f1258,plain,(
% 0.13/0.60 ~multiply(sk_c1,sk_c2)=sk_c2|~sQ13_spl|sQ60_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f180,f1253])).
% 0.13/0.60 fof(f1259,plain,(
% 0.13/0.60 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ18_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1228,f218])).
% 0.13/0.60 fof(f1260,plain,(
% 0.13/0.60 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c2)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ18_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1230,f1259])).
% 0.13/0.60 fof(f1261,plain,(
% 0.13/0.60 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c2)=sk_c2|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ18_spl)),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1228,f1260])).
% 0.13/0.60 fof(f1266,plain,(
% 0.13/0.60 multiply(sk_c2,sk_c1)=sk_c2|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f180,f1222])).
% 0.13/0.60 fof(f1269,plain,(
% 0.13/0.60 sk_c1=sk_c2|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1229,f1266])).
% 0.13/0.60 fof(f1276,plain,(
% 0.13/0.60 ~multiply(sk_c2,sk_c2)=sk_c2|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl|sQ60_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1269,f1258])).
% 0.13/0.60 fof(f1277,plain,(
% 0.13/0.60 ~sk_c2=sk_c2|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl|sQ60_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1229,f1276])).
% 0.13/0.60 fof(f1278,plain,(
% 0.13/0.60 $false|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl|sQ60_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f1277])).
% 0.13/0.60 fof(f1279,plain,(
% 0.13/0.60 ~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl|sQ60_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f1278])).
% 0.13/0.60 fof(f1326,definition,(
% 0.13/0.60 sQ63_spl <=> (sk_c11=sk_c10)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f1328,plain,(
% 0.13/0.60 ~sk_c11=sk_c10|sQ63_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f1326])).
% 0.13/0.60 fof(f1329,definition,(
% 0.13/0.60 sQ64_spl <=> (inverse(identity)=sk_c11)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f1331,plain,(
% 0.13/0.60 ~inverse(identity)=sk_c11|sQ64_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f1329])).
% 0.13/0.60 fof(f1332,plain,(
% 0.13/0.60 ~sQ63_spl|~sQ64_spl|~sQ16_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f353,f1326,f1329,f208])).
% 0.13/0.60 fof(f1340,plain,(
% 0.13/0.60 ~sk_c2=sk_c10|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ63_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1228,f1328])).
% 0.13/0.60 fof(f1341,plain,(
% 0.13/0.60 ~sk_c2=sk_c2|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ63_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1230,f1340])).
% 0.13/0.60 fof(f1342,plain,(
% 0.13/0.60 $false|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ63_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f1341])).
% 0.13/0.60 fof(f1343,plain,(
% 0.13/0.60 ~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ63_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f1342])).
% 0.13/0.60 fof(f1344,plain,(
% 0.13/0.60 ~inverse(sk_c2)=sk_c11|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1225,f1331])).
% 0.13/0.60 fof(f1345,plain,(
% 0.13/0.60 ~sk_c2=sk_c11|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1233,f1344])).
% 0.13/0.60 fof(f1346,plain,(
% 0.13/0.60 ~sk_c2=sk_c2|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1228,f1345])).
% 0.13/0.60 fof(f1347,plain,(
% 0.13/0.60 $false|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f1346])).
% 0.13/0.60 fof(f1348,plain,(
% 0.13/0.60 ~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ64_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f1347])).
% 0.13/0.60 fof(f1388,plain,(
% 0.13/0.60 ~multiply(sk_c2,inverse(sk_c2))=sk_c2|~multiply(inverse(sk_c2),sk_c2)=sk_c2|~inverse(inverse(sk_c2))=inverse(sk_c2)|~sQ18_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.60 inference(resolution,[status(thm)],[f1261,f1229])).
% 0.13/0.60 fof(f1393,plain,(
% 0.13/0.60 ~sQ54_spl|~sQ56_spl|~sQ57_spl|~sQ18_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f1388,f900,f1139,f1142,f214,f192,f153,f110,f179,f166])).
% 0.13/0.60 fof(f1404,plain,(
% 0.13/0.60 ~inverse(sk_c2)=sk_c2|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ54_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1229,f902])).
% 0.13/0.60 fof(f1405,plain,(
% 0.13/0.60 ~sk_c2=sk_c2|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ54_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1233,f1404])).
% 0.13/0.60 fof(f1406,plain,(
% 0.13/0.60 $false|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ54_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f1405])).
% 0.13/0.60 fof(f1407,plain,(
% 0.13/0.60 ~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ54_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f1406])).
% 0.13/0.60 fof(f1409,plain,(
% 0.13/0.60 ~sk_c2=sk_c2|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ56_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1222,f1141])).
% 0.13/0.60 fof(f1410,plain,(
% 0.13/0.60 $false|~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ56_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f1409])).
% 0.13/0.60 fof(f1411,plain,(
% 0.13/0.60 ~sQ14_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|sQ56_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f1410])).
% 0.13/0.60 fof(f1412,plain,(
% 0.13/0.60 ~inverse(sk_c2)=inverse(sk_c2)|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ57_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1233,f1144])).
% 0.13/0.60 fof(f1413,plain,(
% 0.13/0.60 ~sk_c2=inverse(sk_c2)|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ57_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1233,f1412])).
% 0.13/0.60 fof(f1414,plain,(
% 0.13/0.60 ~sk_c2=sk_c2|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ57_spl),
% 0.13/0.60 inference(forward_demodulation,[status(thm)],[f1233,f1413])).
% 0.13/0.60 fof(f1415,plain,(
% 0.13/0.60 $false|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ57_spl),
% 0.13/0.60 inference(trivial_equality_resolution,[status(thm)],[f1414])).
% 0.13/0.60 fof(f1416,plain,(
% 0.13/0.60 ~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|sQ57_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f1415])).
% 0.13/0.60 fof(f1417,plain,(
% 0.13/0.60 $false),
% 0.13/0.60 inference(sat_refutation,[status(thm)],[f116,f120,f124,f128,f132,f136,f140,f144,f148,f156,f157,f158,f159,f160,f161,f162,f163,f164,f169,f170,f171,f172,f173,f174,f175,f176,f177,f182,f183,f184,f185,f186,f187,f188,f189,f190,f195,f196,f197,f198,f199,f200,f201,f202,f203,f217,f321,f334,f358,f378,f411,f600,f633,f754,f765,f769,f775,f810,f824,f1254,f1257,f1279,f1332,f1343,f1348,f1393,f1407,f1411,f1416])).
% 0.13/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.62 % Elapsed time: 0.074126 seconds
% 0.13/0.62 % CPU time: 0.271491 seconds
% 0.13/0.62 % Total memory used: 106.582 MB
% 0.13/0.62 % Net memory used: 106.424 MB
%------------------------------------------------------------------------------