%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP371-1 : 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 : n002.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 12:36:31 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP371-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:12:47 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f1,axiom,(
% 0.14/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f2,axiom,(
% 0.14/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f3,axiom,(
% 0.14/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f4,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f5,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f6,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c11) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f7,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c11) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f8,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f9,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f10,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c11) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f11,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c11) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f12,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c11) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f13,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c11) = sk_c10| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f14,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c2) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f15,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f16,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c2) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f17,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f18,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c2) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f19,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f20,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c2) = sk_c11| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f21,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c7) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f22,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c2) = sk_c11| inverse(sk_c6) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f23,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c2) = sk_c11| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f24,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f25,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| inverse(sk_c3) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f26,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f27,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f28,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f29,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f30,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f31,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| inverse(sk_c7) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f32,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| inverse(sk_c6) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f33,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f35,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f36,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c10) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f37,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f38,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c10) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f39,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f40,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c10) = sk_c11| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f41,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c7) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f42,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c10) = sk_c11| inverse(sk_c6) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f43,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c10) = sk_c11| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f44,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c10) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f45,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c10) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f46,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c10) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f47,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c10) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f48,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c10) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f49,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c9,sk_c10) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f54,negated_conjecture,(
% 0.14/0.41 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( inverse(sk_c11) != sk_c10| multiply(X3,X4) != sk_c11| inverse(X3) != X4| multiply(X4,sk_c10) != sk_c11| 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 ) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f55,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.41 fof(f56,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.41 fof(f57,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.41 fof(f58,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.41 fof(f59,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.41 fof(f60,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.41 fof(f61,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.41 fof(f62,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.41 fof(f63,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.41 fof(f64,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.41 fof(f66,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.41 fof(f67,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.41 fof(f68,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.41 fof(f69,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.41 fof(f70,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.41 fof(f71,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.41 fof(f72,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.41 fof(f73,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.41 fof(f75,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c11|inverse(sk_c6)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.41 fof(f77,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c11|multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.41 fof(f78,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c3,sk_c11)=sk_c10),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.41 fof(f79,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|inverse(sk_c3)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.41 fof(f80,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.41 fof(f81,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c10),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c8)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.41 fof(f83,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.41 fof(f84,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c10)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.41 fof(f85,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|inverse(sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.41 fof(f86,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|inverse(sk_c6)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.41 fof(f87,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.41 fof(f89,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.41 fof(f90,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c10)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.41 fof(f91,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.41 fof(f92,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c10)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.41 fof(f93,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.41 fof(f94,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c10)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.41 fof(f95,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.41 fof(f96,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c10)=sk_c11|inverse(sk_c6)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.41 fof(f97,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f43])).
% 0.14/0.41 fof(f98,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c10)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.41 fof(f99,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.14/0.41 fof(f100,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c10)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f46])).
% 0.14/0.41 fof(f101,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.41 fof(f102,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c10)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.41 fof(f103,plain,(
% 0.14/0.41 multiply(sk_c9,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.41 fof(f108,plain,(
% 0.14/0.41 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: ((((![X4]: ((![X3]: ((~inverse(sk_c11)=sk_c10|~multiply(X3,X4)=sk_c11)|~inverse(X3)=X4))|~multiply(X4,sk_c10)=sk_c11))|~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)),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f54])).
% 0.14/0.41 fof(f109,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~inverse(sk_c11)=sk_c10|~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~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)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.41 fof(f110,definition,(
% 0.14/0.41 sQ0_spl <=> (inverse(sk_c11)=sk_c10)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f111,plain,(
% 0.14/0.41 inverse(sk_c11)=sk_c10|~sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f110])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 ~inverse(sk_c11)=sk_c10|sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f110])).
% 0.14/0.41 fof(f113,definition,(
% 0.14/0.41 sQ1_spl <=> (multiply(sk_c3,sk_c11)=sk_c10)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f114,plain,(
% 0.14/0.41 multiply(sk_c3,sk_c11)=sk_c10|~sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f113])).
% 0.14/0.41 fof(f116,plain,(
% 0.14/0.41 sQ0_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f58,f110,f113])).
% 0.14/0.41 fof(f117,definition,(
% 0.14/0.41 sQ2_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f118,plain,(
% 0.14/0.41 inverse(sk_c3)=sk_c11|~sQ2_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.41 fof(f120,plain,(
% 0.14/0.41 sQ0_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f59,f110,f117])).
% 0.14/0.41 fof(f121,definition,(
% 0.14/0.41 sQ3_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f122,plain,(
% 0.14/0.41 multiply(sk_c4,sk_c10)=sk_c9|~sQ3_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.41 fof(f124,plain,(
% 0.14/0.41 sQ0_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f60,f110,f121])).
% 0.14/0.41 fof(f125,definition,(
% 0.14/0.41 sQ4_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f126,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c10|~sQ4_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.41 fof(f128,plain,(
% 0.14/0.41 sQ0_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f61,f110,f125])).
% 0.14/0.41 fof(f129,definition,(
% 0.14/0.41 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c11)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f130,plain,(
% 0.14/0.41 multiply(sk_c5,sk_c8)=sk_c11|~sQ5_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f129])).
% 0.14/0.41 fof(f132,plain,(
% 0.14/0.41 sQ0_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f62,f110,f129])).
% 0.14/0.41 fof(f133,definition,(
% 0.14/0.41 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f134,plain,(
% 0.14/0.41 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.41 fof(f136,plain,(
% 0.14/0.41 sQ0_spl|sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f63,f110,f133])).
% 0.14/0.41 fof(f137,definition,(
% 0.14/0.41 sQ7_spl <=> (multiply(sk_c8,sk_c10)=sk_c11)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f138,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c10)=sk_c11|~sQ7_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f137])).
% 0.14/0.41 fof(f140,plain,(
% 0.14/0.41 sQ0_spl|sQ7_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f64,f110,f137])).
% 0.14/0.41 fof(f141,definition,(
% 0.14/0.41 sQ8_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f142,plain,(
% 0.14/0.41 inverse(sk_c7)=sk_c6|~sQ8_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f141])).
% 0.14/0.41 fof(f144,plain,(
% 0.14/0.41 sQ0_spl|sQ8_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f65,f110,f141])).
% 0.14/0.41 fof(f145,definition,(
% 0.14/0.41 sQ9_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f146,plain,(
% 0.14/0.41 inverse(sk_c6)=sk_c8|~sQ9_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f145])).
% 0.14/0.42 fof(f148,plain,(
% 0.14/0.42 sQ0_spl|sQ9_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f66,f110,f145])).
% 0.14/0.42 fof(f149,definition,(
% 0.14/0.42 sQ10_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f150,plain,(
% 0.14/0.42 multiply(sk_c7,sk_c8)=sk_c6|~sQ10_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f149])).
% 0.14/0.42 fof(f152,plain,(
% 0.14/0.42 sQ0_spl|sQ10_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f67,f110,f149])).
% 0.14/0.42 fof(f153,definition,(
% 0.14/0.42 sQ11_spl <=> (multiply(sk_c1,sk_c2)=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f154,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c2)=sk_c11|~sQ11_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f153])).
% 0.14/0.42 fof(f156,plain,(
% 0.14/0.42 sQ11_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f68,f153,f113])).
% 0.14/0.42 fof(f157,plain,(
% 0.14/0.42 sQ11_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f69,f153,f117])).
% 0.14/0.42 fof(f158,plain,(
% 0.14/0.42 sQ11_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f70,f153,f121])).
% 0.14/0.42 fof(f159,plain,(
% 0.14/0.42 sQ11_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f71,f153,f125])).
% 0.14/0.42 fof(f160,plain,(
% 0.14/0.42 sQ11_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f72,f153,f129])).
% 0.14/0.42 fof(f161,plain,(
% 0.14/0.42 sQ11_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f73,f153,f133])).
% 0.14/0.42 fof(f162,plain,(
% 0.14/0.42 sQ11_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f74,f153,f137])).
% 0.14/0.42 fof(f163,plain,(
% 0.14/0.42 sQ11_spl|sQ8_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f75,f153,f141])).
% 0.14/0.42 fof(f164,plain,(
% 0.14/0.42 sQ11_spl|sQ9_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f76,f153,f145])).
% 0.14/0.42 fof(f165,plain,(
% 0.14/0.42 sQ11_spl|sQ10_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f77,f153,f149])).
% 0.14/0.42 fof(f166,definition,(
% 0.14/0.42 sQ12_spl <=> (inverse(sk_c1)=sk_c2)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f167,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c2|~sQ12_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f166])).
% 0.14/0.42 fof(f169,plain,(
% 0.14/0.42 sQ12_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f78,f166,f113])).
% 0.14/0.42 fof(f170,plain,(
% 0.14/0.42 sQ12_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f79,f166,f117])).
% 0.14/0.42 fof(f171,plain,(
% 0.14/0.42 sQ12_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f80,f166,f121])).
% 0.14/0.42 fof(f172,plain,(
% 0.14/0.42 sQ12_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f81,f166,f125])).
% 0.14/0.42 fof(f173,plain,(
% 0.14/0.42 sQ12_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f82,f166,f129])).
% 0.14/0.42 fof(f174,plain,(
% 0.14/0.42 sQ12_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f83,f166,f133])).
% 0.14/0.42 fof(f175,plain,(
% 0.14/0.42 sQ12_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f84,f166,f137])).
% 0.14/0.42 fof(f176,plain,(
% 0.14/0.42 sQ12_spl|sQ8_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f85,f166,f141])).
% 0.14/0.42 fof(f177,plain,(
% 0.14/0.42 sQ12_spl|sQ9_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f86,f166,f145])).
% 0.14/0.42 fof(f178,plain,(
% 0.14/0.42 sQ12_spl|sQ10_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f87,f166,f149])).
% 0.14/0.42 fof(f179,definition,(
% 0.14/0.42 sQ13_spl <=> (multiply(sk_c2,sk_c10)=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f180,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c10)=sk_c11|~sQ13_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f179])).
% 0.14/0.42 fof(f183,plain,(
% 0.14/0.42 sQ13_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f89,f179,f117])).
% 0.14/0.42 fof(f184,plain,(
% 0.14/0.42 sQ13_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f90,f179,f121])).
% 0.14/0.42 fof(f185,plain,(
% 0.14/0.42 sQ13_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f91,f179,f125])).
% 0.14/0.42 fof(f186,plain,(
% 0.14/0.42 sQ13_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f92,f179,f129])).
% 0.14/0.42 fof(f187,plain,(
% 0.14/0.42 sQ13_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f93,f179,f133])).
% 0.14/0.42 fof(f188,plain,(
% 0.14/0.42 sQ13_spl|sQ7_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f94,f179,f137])).
% 0.14/0.42 fof(f189,plain,(
% 0.14/0.42 sQ13_spl|sQ8_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f95,f179,f141])).
% 0.14/0.42 fof(f190,plain,(
% 0.14/0.42 sQ13_spl|sQ9_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f96,f179,f145])).
% 0.14/0.42 fof(f191,plain,(
% 0.14/0.42 sQ13_spl|sQ10_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f97,f179,f149])).
% 0.14/0.42 fof(f192,definition,(
% 0.14/0.42 sQ14_spl <=> (multiply(sk_c9,sk_c10)=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f193,plain,(
% 0.14/0.42 multiply(sk_c9,sk_c10)=sk_c11|~sQ14_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f192])).
% 0.14/0.42 fof(f194,plain,(
% 0.14/0.42 ~multiply(sk_c9,sk_c10)=sk_c11|sQ14_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f192])).
% 0.14/0.42 fof(f195,plain,(
% 0.14/0.42 sQ14_spl|sQ1_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f98,f192,f113])).
% 0.14/0.42 fof(f196,plain,(
% 0.14/0.42 sQ14_spl|sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f99,f192,f117])).
% 0.14/0.42 fof(f197,plain,(
% 0.14/0.42 sQ14_spl|sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f100,f192,f121])).
% 0.14/0.42 fof(f198,plain,(
% 0.14/0.42 sQ14_spl|sQ4_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f101,f192,f125])).
% 0.14/0.42 fof(f199,plain,(
% 0.14/0.42 sQ14_spl|sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f102,f192,f129])).
% 0.14/0.42 fof(f200,plain,(
% 0.14/0.42 sQ14_spl|sQ6_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f103,f192,f133])).
% 0.14/0.42 fof(f205,definition,(
% 0.14/0.42 ![X0,X1]: (sQ15_spl <=> (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f206,plain,(
% 0.14/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~sQ15_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f205])).
% 0.14/0.42 fof(f208,definition,(
% 0.14/0.42 ![X2]: (sQ16_spl <=> (~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f209,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ16_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f208])).
% 0.14/0.42 fof(f211,definition,(
% 0.14/0.42 ![X3]: (sQ17_spl <=> (~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f212,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ17_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f211])).
% 0.14/0.42 fof(f214,definition,(
% 0.14/0.42 ![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))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f215,plain,(
% 0.14/0.42 ![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)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f214])).
% 0.14/0.42 fof(f217,plain,(
% 0.14/0.42 ~sQ0_spl|sQ15_spl|~sQ14_spl|sQ16_spl|sQ17_spl|sQ18_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f109,f110,f205,f192,f208,f211,f214])).
% 0.14/0.42 fof(f218,plain,(
% 0.14/0.42 ![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)),
% 0.14/0.42 inference(destructive_equality_resolution,[status(thm)],[f215])).
% 0.14/0.42 fof(f237,plain,(
% 0.14/0.42 ![X0]: (~multiply(sk_c1,inverse(sk_c1))=sk_c11|~multiply(inverse(sk_c1),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(sk_c1)|~multiply(X0,sk_c2)=inverse(X0)|~sQ18_spl|~sQ12_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f167,f218])).
% 0.14/0.42 fof(f248,definition,(
% 0.14/0.42 sQ22_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f250,plain,(
% 0.14/0.42 ~multiply(sk_c3,inverse(sk_c3))=sk_c11|sQ22_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f248])).
% 0.14/0.42 fof(f251,definition,(
% 0.14/0.42 sQ23_spl <=> (multiply(inverse(sk_c3),sk_c10)=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f252,plain,(
% 0.14/0.42 multiply(inverse(sk_c3),sk_c10)=sk_c11|~sQ23_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f251])).
% 0.14/0.42 fof(f253,plain,(
% 0.14/0.42 ~multiply(inverse(sk_c3),sk_c10)=sk_c11|sQ23_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f251])).
% 0.14/0.42 fof(f298,definition,(
% 0.14/0.42 sQ37_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f300,plain,(
% 0.14/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c11|sQ37_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f298])).
% 0.14/0.42 fof(f301,definition,(
% 0.14/0.42 sQ38_spl <=> (multiply(inverse(sk_c1),sk_c10)=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f303,plain,(
% 0.14/0.42 ~multiply(inverse(sk_c1),sk_c10)=sk_c11|sQ38_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f301])).
% 0.14/0.42 fof(f304,definition,(
% 0.14/0.42 ![X0]: (sQ39_spl <=> (~inverse(inverse(X0))=inverse(sk_c1)|~multiply(X0,sk_c2)=inverse(X0)))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f305,plain,(
% 0.14/0.42 ![X0]: (~inverse(inverse(X0))=inverse(sk_c1)|~multiply(X0,sk_c2)=inverse(X0)|~sQ39_spl)),
% 0.14/0.42 inference(component_clause,[status(thm)],[f304])).
% 0.14/0.42 fof(f307,plain,(
% 0.14/0.42 ~sQ37_spl|~sQ38_spl|sQ39_spl|~sQ18_spl|~sQ12_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f237,f298,f301,f304,f214,f166])).
% 0.14/0.42 fof(f309,plain,(
% 0.14/0.42 ~multiply(sk_c2,sk_c10)=sk_c11|~sQ12_spl|sQ38_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f167,f303])).
% 0.14/0.42 fof(f310,plain,(
% 0.14/0.42 ~sk_c11=sk_c11|~sQ13_spl|~sQ12_spl|sQ38_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f180,f309])).
% 0.14/0.42 fof(f311,plain,(
% 0.14/0.42 $false|~sQ13_spl|~sQ12_spl|sQ38_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f310])).
% 0.14/0.42 fof(f312,plain,(
% 0.14/0.42 ~sQ13_spl|~sQ12_spl|sQ38_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f311])).
% 0.14/0.42 fof(f316,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|~inverse(sk_c4)=sk_c10|~sQ17_spl|~sQ3_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f122,f212])).
% 0.14/0.42 fof(f326,definition,(
% 0.14/0.42 sQ42_spl <=> (sk_c9=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f328,plain,(
% 0.14/0.42 ~sk_c9=sk_c9|sQ42_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f326])).
% 0.14/0.42 fof(f329,plain,(
% 0.14/0.42 ~sQ42_spl|~sQ4_spl|~sQ17_spl|~sQ3_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f316,f326,f125,f211,f121])).
% 0.14/0.42 fof(f338,plain,(
% 0.14/0.42 $false|sQ42_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f328])).
% 0.14/0.42 fof(f339,plain,(
% 0.14/0.42 sQ42_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f338])).
% 0.14/0.42 fof(f341,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c6)=identity|~sQ9_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f146,f56])).
% 0.14/0.42 fof(f342,plain,(
% 0.14/0.42 multiply(sk_c6,sk_c7)=identity|~sQ8_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f142,f56])).
% 0.14/0.42 fof(f346,plain,(
% 0.14/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f56,f57])).
% 0.14/0.42 fof(f347,plain,(
% 0.14/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f55,f346])).
% 0.14/0.42 fof(f354,plain,(
% 0.14/0.42 ~inverse(sk_c3)=sk_c11|~sQ16_spl|~sQ1_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f209,f114])).
% 0.14/0.42 fof(f359,plain,(
% 0.14/0.42 ~sk_c11=sk_c11|~sQ2_spl|~sQ16_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f118,f354])).
% 0.14/0.42 fof(f360,plain,(
% 0.14/0.42 $false|~sQ2_spl|~sQ16_spl|~sQ1_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f359])).
% 0.14/0.42 fof(f361,plain,(
% 0.14/0.42 ~sQ2_spl|~sQ16_spl|~sQ1_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f360])).
% 0.14/0.42 fof(f362,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~sQ15_spl)),
% 0.14/0.42 inference(destructive_equality_resolution,[status(thm)],[f206])).
% 0.14/0.42 fof(f368,plain,(
% 0.14/0.42 ~multiply(sk_c3,inverse(sk_c3))=sk_c11|~multiply(sk_c11,sk_c10)=sk_c11|~sQ15_spl|~sQ2_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f118,f362])).
% 0.14/0.42 fof(f386,definition,(
% 0.14/0.42 sQ49_spl <=> (multiply(sk_c11,sk_c10)=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f388,plain,(
% 0.14/0.42 ~multiply(sk_c11,sk_c10)=sk_c11|sQ49_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f386])).
% 0.14/0.42 fof(f389,plain,(
% 0.14/0.42 ~sQ22_spl|~sQ49_spl|~sQ15_spl|~sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f368,f248,f386,f205,f117])).
% 0.14/0.42 fof(f416,plain,(
% 0.14/0.42 ~multiply(sk_c3,sk_c11)=sk_c11|~sQ2_spl|sQ22_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f118,f250])).
% 0.14/0.42 fof(f417,plain,(
% 0.14/0.42 ~sk_c10=sk_c11|~sQ1_spl|~sQ2_spl|sQ22_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f114,f416])).
% 0.14/0.42 fof(f433,plain,(
% 0.14/0.42 sk_c7=multiply(inverse(sk_c6),identity)|~sQ8_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f342,f347])).
% 0.14/0.42 fof(f436,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f55,f347])).
% 0.14/0.42 fof(f441,plain,(
% 0.14/0.42 sk_c11=multiply(inverse(sk_c3),sk_c10)|~sQ1_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f114,f347])).
% 0.14/0.42 fof(f443,plain,(
% 0.14/0.42 sk_c10=multiply(inverse(sk_c4),sk_c9)|~sQ3_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f122,f347])).
% 0.14/0.42 fof(f444,plain,(
% 0.14/0.42 sk_c8=multiply(inverse(sk_c5),sk_c11)|~sQ5_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f130,f347])).
% 0.14/0.42 fof(f448,plain,(
% 0.14/0.42 sk_c8=multiply(inverse(sk_c7),sk_c6)|~sQ10_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f150,f347])).
% 0.14/0.42 fof(f449,plain,(
% 0.14/0.42 sk_c2=multiply(inverse(sk_c1),sk_c11)|~sQ11_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f154,f347])).
% 0.14/0.42 fof(f452,plain,(
% 0.14/0.42 sk_c7=multiply(sk_c8,identity)|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f146,f433])).
% 0.14/0.42 fof(f454,plain,(
% 0.14/0.42 sk_c11=multiply(sk_c11,sk_c10)|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f118,f441])).
% 0.14/0.42 fof(f455,plain,(
% 0.14/0.42 $false|sQ49_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f454,f388])).
% 0.14/0.42 fof(f456,plain,(
% 0.14/0.42 sQ49_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f455])).
% 0.14/0.42 fof(f458,plain,(
% 0.14/0.42 sk_c10=multiply(sk_c10,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f126,f443])).
% 0.14/0.42 fof(f459,plain,(
% 0.14/0.42 sk_c8=multiply(sk_c8,sk_c11)|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f134,f444])).
% 0.14/0.42 fof(f460,plain,(
% 0.14/0.42 sk_c8=multiply(sk_c6,sk_c6)|~sQ8_spl|~sQ10_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f142,f448])).
% 0.14/0.42 fof(f469,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f436,f347])).
% 0.14/0.42 fof(f473,plain,(
% 0.14/0.42 sk_c9=multiply(inverse(sk_c10),sk_c10)|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f458,f347])).
% 0.14/0.42 fof(f477,plain,(
% 0.14/0.42 sk_c9=identity|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f56,f473])).
% 0.14/0.42 fof(f479,plain,(
% 0.14/0.42 sk_c7=multiply(sk_c8,sk_c9)|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f477,f452])).
% 0.14/0.42 fof(f485,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c6)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ9_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f477,f341])).
% 0.14/0.42 fof(f486,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ4_spl|~sQ3_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f477,f56])).
% 0.14/0.42 fof(f487,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f477,f55])).
% 0.14/0.42 fof(f489,plain,(
% 0.14/0.42 sk_c10=sk_c11|~sQ4_spl|~sQ3_spl|~sQ14_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f487,f193])).
% 0.14/0.42 fof(f493,plain,(
% 0.14/0.42 $false|~sQ1_spl|~sQ2_spl|sQ22_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f489,f417])).
% 0.14/0.42 fof(f494,plain,(
% 0.14/0.42 ~sQ1_spl|~sQ2_spl|sQ22_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f493])).
% 0.14/0.42 fof(f503,plain,(
% 0.14/0.42 ~inverse(sk_c10)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ14_spl|sQ0_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f489,f112])).
% 0.14/0.42 fof(f504,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f489,f118])).
% 0.14/0.42 fof(f505,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c10)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f489,f114])).
% 0.14/0.42 fof(f507,plain,(
% 0.14/0.42 multiply(sk_c8,sk_c10)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f489,f138])).
% 0.14/0.42 fof(f510,plain,(
% 0.14/0.42 sk_c8=multiply(sk_c8,sk_c10)|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f489,f459])).
% 0.14/0.42 fof(f513,plain,(
% 0.14/0.42 sk_c6=multiply(inverse(sk_c6),sk_c8)|~sQ8_spl|~sQ10_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f460,f347])).
% 0.14/0.42 fof(f515,plain,(
% 0.14/0.42 sk_c6=multiply(sk_c8,sk_c8)|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f146,f513])).
% 0.14/0.42 fof(f557,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c10)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f566,f505])).
% 0.14/0.42 fof(f560,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f566,f504])).
% 0.14/0.42 fof(f561,plain,(
% 0.14/0.42 ~inverse(sk_c10)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|sQ0_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f566,f503])).
% 0.14/0.42 fof(f562,plain,(
% 0.14/0.42 sk_c8=sk_c11|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f566,f489])).
% 0.14/0.42 fof(f563,plain,(
% 0.14/0.42 sk_c10=multiply(sk_c8,sk_c9)|~sQ6_spl|~sQ5_spl|~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f566,f458])).
% 0.14/0.42 fof(f566,plain,(
% 0.14/0.42 sk_c8=sk_c10|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f510,f507])).
% 0.14/0.42 fof(f567,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c8)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f566,f557])).
% 0.14/0.42 fof(f570,plain,(
% 0.14/0.42 ~inverse(sk_c8)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f566,f561])).
% 0.14/0.42 fof(f571,plain,(
% 0.14/0.42 sk_c8=multiply(sk_c8,sk_c9)|~sQ6_spl|~sQ5_spl|~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f566,f563])).
% 0.14/0.42 fof(f572,plain,(
% 0.14/0.42 sk_c8=sk_c7|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f479,f571])).
% 0.14/0.42 fof(f573,plain,(
% 0.14/0.42 sk_c7=sk_c11|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f572,f562])).
% 0.14/0.42 fof(f574,plain,(
% 0.14/0.42 sk_c7=sk_c10|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f572,f566])).
% 0.14/0.42 fof(f580,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f572,f560])).
% 0.14/0.42 fof(f583,plain,(
% 0.14/0.42 ~inverse(sk_c7)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f572,f570])).
% 0.14/0.42 fof(f584,plain,(
% 0.14/0.42 ~sk_c6=sk_c8|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f142,f583])).
% 0.14/0.42 fof(f585,plain,(
% 0.14/0.42 ~sk_c6=sk_c7|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f572,f584])).
% 0.14/0.42 fof(f611,plain,(
% 0.14/0.42 multiply(sk_c7,sk_c6)=sk_c9|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ9_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f572,f485])).
% 0.14/0.42 fof(f616,plain,(
% 0.14/0.42 sk_c6=multiply(sk_c7,sk_c8)|~sQ6_spl|~sQ5_spl|~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f572,f515])).
% 0.14/0.42 fof(f617,plain,(
% 0.14/0.42 sk_c6=multiply(sk_c7,sk_c7)|~sQ6_spl|~sQ5_spl|~sQ14_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ10_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f572,f616])).
% 0.14/0.42 fof(f635,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c7)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f572,f567])).
% 0.14/0.42 fof(f636,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c7)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f572,f635])).
% 0.14/0.42 fof(f637,plain,(
% 0.14/0.42 sk_c7=multiply(inverse(sk_c3),sk_c7)|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f636,f347])).
% 0.14/0.42 fof(f639,plain,(
% 0.14/0.42 sk_c7=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f580,f637])).
% 0.14/0.42 fof(f640,plain,(
% 0.14/0.42 sk_c7=sk_c6|~sQ10_spl|~sQ2_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f617,f639])).
% 0.14/0.42 fof(f641,plain,(
% 0.14/0.42 $false|sQ0_spl|~sQ10_spl|~sQ2_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f640,f585])).
% 0.14/0.42 fof(f642,plain,(
% 0.14/0.42 sQ0_spl|~sQ10_spl|~sQ2_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f641])).
% 0.14/0.42 fof(f655,plain,(
% 0.14/0.42 ~multiply(sk_c7,sk_c10)=sk_c11|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl|sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f580,f253])).
% 0.14/0.42 fof(f656,plain,(
% 0.14/0.42 ~multiply(sk_c7,sk_c7)=sk_c11|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl|sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f574,f655])).
% 0.14/0.42 fof(f657,plain,(
% 0.14/0.42 ~sk_c6=sk_c11|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl|sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f617,f656])).
% 0.14/0.42 fof(f658,plain,(
% 0.14/0.42 ~sk_c6=sk_c7|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl|sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f573,f657])).
% 0.14/0.42 fof(f694,plain,(
% 0.14/0.42 inverse(sk_c7)=sk_c10|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f573,f111])).
% 0.14/0.42 fof(f695,plain,(
% 0.14/0.42 sk_c6=sk_c10|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f142,f694])).
% 0.14/0.42 fof(f696,plain,(
% 0.14/0.42 ![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|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ18_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f573,f218])).
% 0.14/0.42 fof(f697,plain,(
% 0.14/0.42 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c7)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ18_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f574,f696])).
% 0.14/0.42 fof(f698,plain,(
% 0.14/0.42 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c7)=sk_c7|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ18_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f573,f697])).
% 0.14/0.42 fof(f709,plain,(
% 0.14/0.42 sk_c7=sk_c6|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f695,f574])).
% 0.14/0.42 fof(f710,plain,(
% 0.14/0.42 $false|~sQ10_spl|~sQ2_spl|sQ23_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f709,f658])).
% 0.14/0.42 fof(f711,plain,(
% 0.14/0.42 ~sQ10_spl|~sQ2_spl|sQ23_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f710])).
% 0.14/0.42 fof(f712,plain,(
% 0.14/0.42 multiply(sk_c7,sk_c10)=sk_c11|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl|~sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f580,f252])).
% 0.14/0.42 fof(f713,plain,(
% 0.14/0.42 multiply(sk_c7,sk_c6)=sk_c11|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl|~sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f695,f712])).
% 0.14/0.42 fof(f714,plain,(
% 0.14/0.42 sk_c9=sk_c11|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl|~sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f611,f713])).
% 0.14/0.42 fof(f715,plain,(
% 0.14/0.42 sk_c9=sk_c7|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl|~sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f573,f714])).
% 0.14/0.42 fof(f741,plain,(
% 0.14/0.42 inverse(sk_c6)=sk_c6|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f709,f142])).
% 0.14/0.42 fof(f753,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c6,X0)=X0|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ14_spl|~sQ2_spl|~sQ23_spl|~sQ4_spl|~sQ3_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f755,f487])).
% 0.14/0.42 fof(f755,plain,(
% 0.14/0.42 sk_c9=sk_c6|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl|~sQ23_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f709,f715])).
% 0.14/0.42 fof(f765,plain,(
% 0.14/0.42 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c7)=sk_c7|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ18_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f709,f698])).
% 0.14/0.42 fof(f766,plain,(
% 0.14/0.42 ![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|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ18_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f709,f765])).
% 0.14/0.42 fof(f767,plain,(
% 0.14/0.42 ![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|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ18_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f709,f766])).
% 0.14/0.42 fof(f872,definition,(
% 0.14/0.42 sQ59_spl <=> (multiply(sk_c6,inverse(sk_c6))=sk_c6)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f874,plain,(
% 0.14/0.42 ~multiply(sk_c6,inverse(sk_c6))=sk_c6|sQ59_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f872])).
% 0.14/0.42 fof(f875,definition,(
% 0.14/0.42 sQ60_spl <=> (multiply(inverse(sk_c6),sk_c6)=sk_c6)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f877,plain,(
% 0.14/0.42 ~multiply(inverse(sk_c6),sk_c6)=sk_c6|sQ60_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f875])).
% 0.14/0.42 fof(f883,plain,(
% 0.14/0.42 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ60_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f741,f877])).
% 0.14/0.42 fof(f884,plain,(
% 0.14/0.42 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ59_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f741,f874])).
% 0.14/0.42 fof(f885,plain,(
% 0.14/0.42 ~multiply(sk_c6,inverse(sk_c6))=sk_c6|~multiply(inverse(sk_c6),sk_c6)=sk_c6|~inverse(inverse(sk_c6))=inverse(sk_c6)|~sQ2_spl|~sQ23_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ18_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f753,f767])).
% 0.14/0.42 fof(f889,definition,(
% 0.14/0.42 sQ62_spl <=> (inverse(inverse(sk_c6))=inverse(sk_c6))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f891,plain,(
% 0.14/0.42 ~inverse(inverse(sk_c6))=inverse(sk_c6)|sQ62_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f889])).
% 0.14/0.42 fof(f892,plain,(
% 0.14/0.42 ~sQ59_spl|~sQ60_spl|~sQ62_spl|~sQ2_spl|~sQ23_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ5_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ18_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f885,f872,f875,f889,f117,f251,f110,f145,f141,f133,f129,f137,f125,f121,f192,f214])).
% 0.14/0.42 fof(f898,plain,(
% 0.14/0.42 ~inverse(sk_c6)=inverse(sk_c6)|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ62_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f741,f891])).
% 0.14/0.42 fof(f899,plain,(
% 0.14/0.42 ~sk_c6=inverse(sk_c6)|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ62_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f741,f898])).
% 0.14/0.42 fof(f900,plain,(
% 0.14/0.42 ~sk_c6=sk_c6|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ62_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f741,f899])).
% 0.14/0.42 fof(f901,plain,(
% 0.14/0.42 $false|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ62_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f900])).
% 0.14/0.42 fof(f902,plain,(
% 0.14/0.42 ~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ62_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f901])).
% 0.14/0.42 fof(f1023,plain,(
% 0.14/0.42 ~sk_c6=sk_c6|~sQ2_spl|~sQ23_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ60_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f753,f883])).
% 0.14/0.42 fof(f1024,plain,(
% 0.14/0.42 $false|~sQ2_spl|~sQ23_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ60_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1023])).
% 0.14/0.42 fof(f1025,plain,(
% 0.14/0.42 ~sQ2_spl|~sQ23_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ60_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1024])).
% 0.14/0.42 fof(f1026,plain,(
% 0.14/0.42 ~sk_c6=sk_c6|~sQ2_spl|~sQ23_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ59_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f753,f884])).
% 0.14/0.42 fof(f1027,plain,(
% 0.14/0.42 $false|~sQ2_spl|~sQ23_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ59_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1026])).
% 0.14/0.42 fof(f1028,plain,(
% 0.14/0.42 ~sQ2_spl|~sQ23_spl|~sQ0_spl|~sQ9_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl|~sQ7_spl|~sQ8_spl|sQ59_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1027])).
% 0.14/0.42 fof(f1044,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c1)=identity|~sQ12_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f167,f56])).
% 0.14/0.42 fof(f1065,plain,(
% 0.14/0.42 ~sk_c10=sk_c9|~inverse(identity)=sk_c10|~sQ17_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f55,f212])).
% 0.14/0.42 fof(f1071,definition,(
% 0.14/0.42 sQ66_spl <=> (sk_c10=sk_c9)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1073,plain,(
% 0.14/0.42 ~sk_c10=sk_c9|sQ66_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1071])).
% 0.14/0.42 fof(f1074,definition,(
% 0.14/0.42 sQ67_spl <=> (inverse(identity)=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1076,plain,(
% 0.14/0.42 ~inverse(identity)=sk_c10|sQ67_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1074])).
% 0.14/0.42 fof(f1077,plain,(
% 0.14/0.42 ~sQ66_spl|~sQ67_spl|~sQ17_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f1065,f1071,f1074,f211])).
% 0.14/0.42 fof(f1078,definition,(
% 0.14/0.42 sQ68_spl <=> (inverse(inverse(identity))=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1080,plain,(
% 0.14/0.42 ~inverse(inverse(identity))=sk_c10|sQ68_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1078])).
% 0.14/0.42 fof(f1085,definition,(
% 0.14/0.42 sQ70_spl <=> (inverse(inverse(sk_c10))=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1087,plain,(
% 0.14/0.42 ~inverse(inverse(sk_c10))=sk_c10|sQ70_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1085])).
% 0.14/0.42 fof(f1089,plain,(
% 0.14/0.42 ~multiply(identity,inverse(identity))=sk_c11|~sk_c10=sk_c11|~sQ15_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f436,f362])).
% 0.14/0.42 fof(f1093,definition,(
% 0.14/0.42 sQ71_spl <=> (multiply(identity,inverse(identity))=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1094,plain,(
% 0.14/0.42 multiply(identity,inverse(identity))=sk_c11|~sQ71_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1093])).
% 0.14/0.42 fof(f1095,plain,(
% 0.14/0.42 ~multiply(identity,inverse(identity))=sk_c11|sQ71_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1093])).
% 0.14/0.42 fof(f1096,definition,(
% 0.14/0.42 sQ72_spl <=> (sk_c10=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1098,plain,(
% 0.14/0.42 ~sk_c10=sk_c11|sQ72_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1096])).
% 0.14/0.42 fof(f1099,plain,(
% 0.14/0.42 ~sQ71_spl|~sQ72_spl|~sQ15_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f1089,f1093,f1096,f205])).
% 0.14/0.42 fof(f1103,plain,(
% 0.14/0.42 ~inverse(identity)=sk_c11|sQ71_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f55,f1095])).
% 0.14/0.42 fof(f1115,plain,(
% 0.14/0.42 ![X0]: (~inverse(inverse(X0))=sk_c2|~multiply(X0,sk_c2)=inverse(X0)|~sQ12_spl|~sQ39_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f167,f305])).
% 0.14/0.42 fof(f1116,plain,(
% 0.14/0.42 ~inverse(inverse(identity))=sk_c2|~sk_c2=inverse(identity)|~sQ12_spl|~sQ39_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f55,f1115])).
% 0.14/0.42 fof(f1121,definition,(
% 0.14/0.42 sQ73_spl <=> (inverse(inverse(identity))=sk_c2)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1123,plain,(
% 0.14/0.42 ~inverse(inverse(identity))=sk_c2|sQ73_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1121])).
% 0.14/0.42 fof(f1124,definition,(
% 0.14/0.42 sQ74_spl <=> (sk_c2=inverse(identity))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1126,plain,(
% 0.14/0.42 ~sk_c2=inverse(identity)|sQ74_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1124])).
% 0.14/0.42 fof(f1127,plain,(
% 0.14/0.42 ~sQ73_spl|~sQ74_spl|~sQ12_spl|~sQ39_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f1116,f1121,f1124,f166,f304])).
% 0.14/0.42 fof(f1152,plain,(
% 0.14/0.42 inverse(identity)=identity),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f56,f469])).
% 0.14/0.42 fof(f1166,plain,(
% 0.14/0.42 ~inverse(identity)=sk_c2|sQ73_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1152,f1123])).
% 0.14/0.42 fof(f1167,plain,(
% 0.14/0.42 ~inverse(identity)=sk_c10|sQ68_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1152,f1080])).
% 0.14/0.42 fof(f1168,plain,(
% 0.14/0.42 ~sk_c2=identity|sQ74_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1152,f1126])).
% 0.14/0.42 fof(f1169,plain,(
% 0.14/0.42 ~identity=sk_c11|sQ71_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1152,f1103])).
% 0.14/0.42 fof(f1170,plain,(
% 0.14/0.42 ~identity=sk_c10|sQ67_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1152,f1076])).
% 0.14/0.42 fof(f1176,plain,(
% 0.14/0.42 ~identity=sk_c2|sQ73_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1152,f1166])).
% 0.14/0.42 fof(f1177,plain,(
% 0.14/0.42 ~identity=sk_c10|sQ68_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1152,f1167])).
% 0.14/0.42 fof(f1179,plain,(
% 0.14/0.42 ~multiply(sk_c1,sk_c2)=sk_c11|~sQ12_spl|sQ37_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f167,f300])).
% 0.14/0.42 fof(f1180,plain,(
% 0.14/0.42 ~sk_c11=sk_c11|~sQ11_spl|~sQ12_spl|sQ37_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f154,f1179])).
% 0.14/0.42 fof(f1181,plain,(
% 0.14/0.42 $false|~sQ11_spl|~sQ12_spl|sQ37_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1180])).
% 0.14/0.42 fof(f1182,plain,(
% 0.14/0.42 ~sQ11_spl|~sQ12_spl|sQ37_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1181])).
% 0.14/0.42 fof(f1184,plain,(
% 0.14/0.42 sk_c2=multiply(sk_c2,sk_c11)|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f167,f449])).
% 0.14/0.42 fof(f1185,plain,(
% 0.14/0.42 sk_c11=multiply(inverse(sk_c2),sk_c2)|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f1184,f347])).
% 0.14/0.42 fof(f1187,plain,(
% 0.14/0.42 sk_c11=identity|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f56,f1185])).
% 0.14/0.42 fof(f1188,plain,(
% 0.14/0.42 $false|sQ71_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1187,f1169])).
% 0.14/0.42 fof(f1189,plain,(
% 0.14/0.42 sQ71_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1188])).
% 0.14/0.42 fof(f1190,plain,(
% 0.14/0.42 inverse(identity)=sk_c11|~sQ71_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f55,f1094])).
% 0.14/0.42 fof(f1191,plain,(
% 0.14/0.42 ~sk_c11=sk_c10|~sQ12_spl|~sQ11_spl|sQ68_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1187,f1177])).
% 0.14/0.42 fof(f1192,plain,(
% 0.14/0.42 ~sk_c11=sk_c2|~sQ12_spl|~sQ11_spl|sQ73_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1187,f1176])).
% 0.14/0.42 fof(f1193,plain,(
% 0.14/0.42 inverse(identity)=sk_c11|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1187,f1152])).
% 0.14/0.42 fof(f1198,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c1)=sk_c11|~sQ11_spl|~sQ12_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1187,f1044])).
% 0.14/0.42 fof(f1199,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c11|~sQ12_spl|~sQ11_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1187,f56])).
% 0.14/0.42 fof(f1200,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c11,X0)=X0|~sQ12_spl|~sQ11_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1187,f55])).
% 0.14/0.42 fof(f1201,plain,(
% 0.14/0.42 inverse(sk_c11)=sk_c11|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1187,f1193])).
% 0.14/0.42 fof(f1202,plain,(
% 0.14/0.42 sk_c10=sk_c11|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f111,f1201])).
% 0.14/0.42 fof(f1203,plain,(
% 0.14/0.42 $false|sQ72_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1202,f1098])).
% 0.14/0.42 fof(f1204,plain,(
% 0.14/0.42 sQ72_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1203])).
% 0.14/0.42 fof(f1205,plain,(
% 0.14/0.42 ~sQ72_spl|~sQ12_spl|~sQ11_spl|sQ68_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f1191,f1096,f166,f153,f1078])).
% 0.14/0.42 fof(f1206,plain,(
% 0.14/0.42 ~sk_c11=sk_c10|~sQ12_spl|~sQ11_spl|sQ67_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1187,f1170])).
% 0.14/0.42 fof(f1209,definition,(
% 0.14/0.42 sQ81_spl <=> (identity=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1211,plain,(
% 0.14/0.42 ~identity=sk_c10|sQ81_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1209])).
% 0.14/0.42 fof(f1212,definition,(
% 0.14/0.42 sQ82_spl <=> (inverse(inverse(sk_c11))=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1214,plain,(
% 0.14/0.42 ~inverse(inverse(sk_c11))=sk_c11|sQ82_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1212])).
% 0.14/0.42 fof(f1216,definition,(
% 0.14/0.42 sQ83_spl <=> (inverse(identity)=sk_c11)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1218,plain,(
% 0.14/0.42 ~inverse(identity)=sk_c11|sQ83_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1216])).
% 0.14/0.42 fof(f1220,plain,(
% 0.14/0.42 ~inverse(sk_c11)=sk_c11|~sQ12_spl|~sQ11_spl|sQ83_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1187,f1218])).
% 0.14/0.42 fof(f1221,plain,(
% 0.14/0.42 ~sk_c10=sk_c11|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ83_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f111,f1220])).
% 0.14/0.42 fof(f1222,plain,(
% 0.14/0.42 ~sk_c11=sk_c10|~sQ12_spl|~sQ11_spl|sQ81_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1187,f1211])).
% 0.14/0.42 fof(f1223,plain,(
% 0.14/0.42 ~inverse(sk_c10)=sk_c11|~sQ0_spl|sQ82_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f111,f1214])).
% 0.14/0.42 fof(f1224,plain,(
% 0.14/0.42 sk_c10=identity|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1202,f1187])).
% 0.14/0.42 fof(f1231,plain,(
% 0.14/0.42 multiply(sk_c9,sk_c10)=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1202,f193])).
% 0.14/0.42 fof(f1232,plain,(
% 0.14/0.42 multiply(sk_c2,sk_c10)=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1202,f180])).
% 0.14/0.42 fof(f1238,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1202,f1199])).
% 0.14/0.42 fof(f1243,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c10,X0)=X0|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1202,f1200])).
% 0.14/0.42 fof(f1246,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,sk_c10)=sk_c10|~inverse(X0)=sk_c11|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ16_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1202,f209])).
% 0.14/0.42 fof(f1247,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,sk_c10)=sk_c10|~inverse(X0)=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ16_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1202,f1246])).
% 0.14/0.42 fof(f1251,plain,(
% 0.14/0.42 ~sk_c10=sk_c10|~inverse(inverse(sk_c10))=sk_c10|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f1238,f1247])).
% 0.14/0.42 fof(f1253,definition,(
% 0.14/0.42 sQ84_spl <=> (sk_c10=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1255,plain,(
% 0.14/0.42 ~sk_c10=sk_c10|sQ84_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1253])).
% 0.14/0.42 fof(f1256,definition,(
% 0.14/0.42 sQ85_spl <=> (inverse(sk_c10)=sk_c10)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f1258,plain,(
% 0.14/0.42 ~inverse(sk_c10)=sk_c10|sQ85_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1256])).
% 0.14/0.42 fof(f1260,plain,(
% 0.14/0.42 ~sQ84_spl|~sQ70_spl|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f1251,f1253,f1085,f208,f110,f166,f153])).
% 0.14/0.42 fof(f1261,plain,(
% 0.14/0.42 $false|sQ84_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1255])).
% 0.14/0.42 fof(f1262,plain,(
% 0.14/0.42 sQ84_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1261])).
% 0.14/0.42 fof(f1264,plain,(
% 0.14/0.42 ~sk_c10=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ67_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1202,f1206])).
% 0.14/0.42 fof(f1265,plain,(
% 0.14/0.42 $false|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ67_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1264])).
% 0.14/0.42 fof(f1266,plain,(
% 0.14/0.42 ~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ67_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1265])).
% 0.14/0.42 fof(f1267,plain,(
% 0.14/0.42 ~sk_c10=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ83_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1202,f1221])).
% 0.14/0.42 fof(f1268,plain,(
% 0.14/0.42 $false|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ83_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1267])).
% 0.14/0.42 fof(f1269,plain,(
% 0.14/0.42 ~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ83_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1268])).
% 0.14/0.42 fof(f1273,plain,(
% 0.14/0.42 ~sk_c10=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ81_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1202,f1222])).
% 0.14/0.42 fof(f1274,plain,(
% 0.14/0.42 $false|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ81_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1273])).
% 0.14/0.42 fof(f1275,plain,(
% 0.14/0.42 ~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ81_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1274])).
% 0.14/0.42 fof(f1277,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c9,multiply(sk_c10,X0))|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f1231,f57])).
% 0.14/0.42 fof(f1278,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(sk_c9,multiply(sk_c10,X0))|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1243,f1277])).
% 0.14/0.42 fof(f1279,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(sk_c9,X0)|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1243,f1278])).
% 0.14/0.42 fof(f1280,plain,(
% 0.14/0.42 inverse(sk_c10)=sk_c11|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1224,f1190])).
% 0.14/0.42 fof(f1281,plain,(
% 0.14/0.42 ~inverse(sk_c10)=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl|sQ70_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1282,f1087])).
% 0.14/0.42 fof(f1282,plain,(
% 0.14/0.42 inverse(sk_c10)=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1202,f1280])).
% 0.14/0.42 fof(f1285,plain,(
% 0.14/0.42 ~sk_c10=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl|sQ70_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1282,f1281])).
% 0.14/0.42 fof(f1286,plain,(
% 0.14/0.42 $false|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl|sQ70_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1285])).
% 0.14/0.42 fof(f1287,plain,(
% 0.14/0.42 ~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl|sQ70_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1286])).
% 0.14/0.42 fof(f1294,plain,(
% 0.14/0.42 ~sk_c10=sk_c11|~sQ12_spl|~sQ11_spl|~sQ71_spl|~sQ0_spl|sQ82_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1282,f1223])).
% 0.14/0.42 fof(f1295,plain,(
% 0.14/0.42 ~sk_c10=sk_c10|~sQ12_spl|~sQ11_spl|~sQ71_spl|~sQ0_spl|sQ82_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1202,f1294])).
% 0.14/0.42 fof(f1296,plain,(
% 0.14/0.42 $false|~sQ12_spl|~sQ11_spl|~sQ71_spl|~sQ0_spl|sQ82_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1295])).
% 0.14/0.42 fof(f1297,plain,(
% 0.14/0.42 ~sQ12_spl|~sQ11_spl|~sQ71_spl|~sQ0_spl|sQ82_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1296])).
% 0.14/0.42 fof(f1301,plain,(
% 0.14/0.42 ~sk_c10=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl|sQ85_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1282,f1258])).
% 0.14/0.42 fof(f1302,plain,(
% 0.14/0.42 $false|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl|sQ85_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1301])).
% 0.14/0.42 fof(f1303,plain,(
% 0.14/0.42 ~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl|sQ85_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1302])).
% 0.14/0.42 fof(f1306,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c2,multiply(sk_c10,X0))|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f1232,f57])).
% 0.14/0.42 fof(f1307,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(sk_c2,multiply(sk_c10,X0))|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1243,f1306])).
% 0.14/0.42 fof(f1308,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(sk_c2,X0)|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ13_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1243,f1307])).
% 0.14/0.42 fof(f1311,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(inverse(sk_c9),X0)|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f1279,f347])).
% 0.14/0.42 fof(f1318,plain,(
% 0.14/0.42 sk_c10=sk_c1|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1319,f1202])).
% 0.14/0.42 fof(f1319,plain,(
% 0.14/0.42 sk_c1=sk_c11|~sQ0_spl|~sQ13_spl|~sQ11_spl|~sQ12_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1308,f1198])).
% 0.14/0.42 fof(f1323,plain,(
% 0.14/0.42 inverse(sk_c10)=sk_c1|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1318,f1282])).
% 0.14/0.42 fof(f1325,plain,(
% 0.14/0.42 sk_c1=identity|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1318,f1224])).
% 0.14/0.42 fof(f1327,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c1|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1318,f1238])).
% 0.14/0.42 fof(f1328,plain,(
% 0.14/0.42 ~sk_c1=sk_c9|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ66_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1318,f1073])).
% 0.14/0.42 fof(f1332,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c1|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1318,f1323])).
% 0.14/0.42 fof(f1333,plain,(
% 0.14/0.42 sk_c2=sk_c1|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ71_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f167,f1332])).
% 0.14/0.42 fof(f1335,plain,(
% 0.14/0.42 sk_c2=sk_c11|~sQ71_spl|~sQ0_spl|~sQ13_spl|~sQ11_spl|~sQ12_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1333,f1319])).
% 0.14/0.42 fof(f1344,plain,(
% 0.14/0.42 sk_c2=identity|~sQ71_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1333,f1325])).
% 0.14/0.42 fof(f1345,plain,(
% 0.14/0.42 ~sk_c2=sk_c9|~sQ71_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ66_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1333,f1328])).
% 0.14/0.42 fof(f1350,plain,(
% 0.14/0.42 ~sk_c2=sk_c2|~sQ71_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ73_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1335,f1192])).
% 0.14/0.42 fof(f1351,plain,(
% 0.14/0.42 $false|~sQ71_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ73_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1350])).
% 0.14/0.42 fof(f1352,plain,(
% 0.14/0.42 ~sQ71_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ73_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1351])).
% 0.14/0.42 fof(f1353,plain,(
% 0.14/0.42 ~sk_c2=sk_c2|~sQ71_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ74_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1344,f1168])).
% 0.14/0.42 fof(f1354,plain,(
% 0.14/0.42 $false|~sQ71_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ74_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f1353])).
% 0.14/0.42 fof(f1355,plain,(
% 0.14/0.42 ~sQ71_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ74_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1354])).
% 0.14/0.42 fof(f1382,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ71_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1333,f1327])).
% 0.14/0.42 fof(f1441,plain,(
% 0.14/0.42 sk_c9=sk_c2|~sQ14_spl|~sQ71_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f1382,f1311])).
% 0.14/0.42 fof(f1447,plain,(
% 0.14/0.42 $false|sQ66_spl|~sQ14_spl|~sQ71_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1441,f1345])).
% 0.14/0.42 fof(f1448,plain,(
% 0.14/0.42 sQ66_spl|~sQ14_spl|~sQ71_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1447])).
% 0.14/0.42 fof(f1508,plain,(
% 0.14/0.42 sk_c11=multiply(inverse(sk_c8),sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f459,f347])).
% 0.14/0.42 fof(f1510,plain,(
% 0.14/0.42 sk_c11=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f486,f1508])).
% 0.14/0.42 fof(f1511,plain,(
% 0.14/0.42 ~sk_c10=sk_c11|~sQ4_spl|~sQ3_spl|sQ14_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f487,f194])).
% 0.14/0.42 fof(f1515,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c9)=sk_c10|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1510,f114])).
% 0.14/0.42 fof(f1516,plain,(
% 0.14/0.42 ~sk_c10=sk_c9|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|sQ14_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1510,f1511])).
% 0.14/0.42 fof(f1519,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1510,f118])).
% 0.14/0.42 fof(f1530,plain,(
% 0.14/0.42 multiply(sk_c9,sk_c3)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f1519,f486])).
% 0.14/0.42 fof(f1532,plain,(
% 0.14/0.42 sk_c3=sk_c9|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f487,f1530])).
% 0.14/0.42 fof(f1569,plain,(
% 0.14/0.42 multiply(sk_c9,sk_c9)=sk_c10|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f1532,f1515])).
% 0.14/0.42 fof(f1570,plain,(
% 0.14/0.42 sk_c9=sk_c10|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f487,f1569])).
% 0.14/0.42 fof(f1571,plain,(
% 0.14/0.42 $false|sQ14_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1570,f1516])).
% 0.14/0.42 fof(f1572,plain,(
% 0.14/0.42 sQ14_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1571])).
% 0.14/0.42 fof(f1573,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(sat_refutation,[status(thm)],[f116,f120,f124,f128,f132,f136,f140,f144,f148,f152,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f183,f184,f185,f186,f187,f188,f189,f190,f191,f195,f196,f197,f198,f199,f200,f217,f307,f312,f329,f339,f361,f389,f456,f494,f642,f711,f892,f902,f1025,f1028,f1077,f1099,f1127,f1182,f1189,f1204,f1205,f1260,f1262,f1266,f1269,f1275,f1287,f1297,f1303,f1352,f1355,f1448,f1572])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.068493 seconds
% 0.14/0.44 % CPU time: 0.268006 seconds
% 0.14/0.44 % Total memory used: 106.636 MB
% 0.14/0.44 % Net memory used: 106.483 MB
%------------------------------------------------------------------------------