%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP389-1 : 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 : n020.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 12:36:33 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP389-1 : 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 : n020.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 20:11:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f1,axiom,(
% 0.13/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f2,axiom,(
% 0.13/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f3,axiom,(
% 0.13/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f6,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c10) = sk_c9| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f7,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c10) = sk_c9| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f10,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c10) = sk_c9| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f11,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c10) = sk_c9| inverse(sk_c7) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f13,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f14,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f15,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f16,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f17,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| inverse(sk_c6) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f18,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f19,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f20,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| inverse(sk_c7) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f21,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f22,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f23,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f24,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f25,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f26,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| inverse(sk_c6) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f27,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f28,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f29,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| inverse(sk_c7) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f30,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f31,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f32,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f33,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f34,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f37,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f38,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| inverse(sk_c7) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f39,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f40,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f41,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f42,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f43,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f46,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f47,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c3| inverse(sk_c7) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f48,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f49,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c9) = sk_c10| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f50,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c9) = sk_c10| inverse(sk_c4) = sk_c11 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f55,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c9) = sk_c10| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f56,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c9) = sk_c10| inverse(sk_c7) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f58,negated_conjecture,(
% 0.13/0.41 (![X4,X5,X6,X1,X2,X3,X7,X8]: (( inverse(sk_c10) != sk_c9| inverse(X4) != sk_c11| multiply(X4,sk_c10) != sk_c11| multiply(X5,X6) != sk_c10| inverse(X5) != X6| multiply(X6,sk_c9) != sk_c10| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| inverse(X3) != sk_c11| multiply(X3,sk_c10) != sk_c11| multiply(X7,X8) != sk_c10| inverse(X7) != X8| multiply(X8,sk_c9) != sk_c10 ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f59,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.41 fof(f60,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.41 fof(f61,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.41 fof(f64,plain,(
% 0.13/0.41 inverse(sk_c10)=sk_c9|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.41 fof(f65,plain,(
% 0.13/0.41 inverse(sk_c10)=sk_c9|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.41 fof(f68,plain,(
% 0.13/0.41 inverse(sk_c10)=sk_c9|multiply(sk_c7,sk_c8)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.41 fof(f69,plain,(
% 0.13/0.41 inverse(sk_c10)=sk_c9|inverse(sk_c7)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.41 fof(f71,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.41 fof(f72,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.41 fof(f73,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.41 fof(f74,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.41 fof(f75,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.41 fof(f76,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.41 fof(f77,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.41 fof(f78,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.41 fof(f79,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.41 fof(f80,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.41 fof(f81,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.41 fof(f82,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.41 fof(f83,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.41 fof(f84,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c6)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.41 fof(f85,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.41 fof(f86,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.41 fof(f87,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c7)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.41 fof(f88,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.41 fof(f89,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.41 fof(f90,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c3)=sk_c10|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.41 fof(f91,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.41 fof(f92,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c3)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.41 fof(f95,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c7,sk_c8)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.41 fof(f96,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c3)=sk_c10|inverse(sk_c7)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.41 fof(f97,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c8,sk_c9)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.41 fof(f98,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.41 fof(f99,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.41 fof(f100,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.41 fof(f101,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.41 fof(f104,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c7,sk_c8)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.41 fof(f105,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c3|inverse(sk_c7)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f47])).
% 0.13/0.41 fof(f106,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c8,sk_c9)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.41 fof(f107,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c10|multiply(sk_c4,sk_c11)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f49])).
% 0.13/0.41 fof(f108,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c10|inverse(sk_c4)=sk_c11),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.41 fof(f113,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c10|multiply(sk_c7,sk_c8)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.41 fof(f114,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c10|inverse(sk_c7)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f56])).
% 0.13/0.41 fof(f116,plain,(
% 0.13/0.41 ![X8]: ((![X7]: (((![X3]: (((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c10)=sk_c9|~inverse(X4)=sk_c11)|~multiply(X4,sk_c10)=sk_c11))|~multiply(X5,X6)=sk_c10)|~inverse(X5)=X6))|~multiply(X6,sk_c9)=sk_c10))|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~inverse(X3)=sk_c11)|~multiply(X3,sk_c10)=sk_c11))|~multiply(X7,X8)=sk_c10)|~inverse(X7)=X8))|~multiply(X8,sk_c9)=sk_c10)),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f58])).
% 0.13/0.41 fof(f117,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~inverse(sk_c10)=sk_c9|~inverse(X0)=sk_c11|~multiply(X0,sk_c10)=sk_c11|~multiply(X1,X2)=sk_c10|~inverse(X1)=X2|~multiply(X2,sk_c9)=sk_c10|~multiply(X3,sk_c11)=sk_c10|~inverse(X3)=sk_c11|~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10|~inverse(X5)=sk_c11|~multiply(X5,sk_c10)=sk_c11|~multiply(X6,X7)=sk_c10|~inverse(X6)=X7|~multiply(X7,sk_c9)=sk_c10)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.41 fof(f118,definition,(
% 0.13/0.41 sQ0_spl <=> (inverse(sk_c10)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f119,plain,(
% 0.13/0.41 inverse(sk_c10)=sk_c9|~sQ0_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.13/0.41 fof(f120,plain,(
% 0.13/0.41 ~inverse(sk_c10)=sk_c9|sQ0_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.13/0.41 fof(f121,definition,(
% 0.13/0.41 sQ1_spl <=> (multiply(sk_c4,sk_c11)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f122,plain,(
% 0.13/0.41 multiply(sk_c4,sk_c11)=sk_c10|~sQ1_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.41 fof(f125,definition,(
% 0.13/0.41 sQ2_spl <=> (inverse(sk_c4)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f126,plain,(
% 0.13/0.41 inverse(sk_c4)=sk_c11|~sQ2_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.41 fof(f129,definition,(
% 0.13/0.41 sQ3_spl <=> (multiply(sk_c5,sk_c10)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f130,plain,(
% 0.13/0.41 multiply(sk_c5,sk_c10)=sk_c9|~sQ3_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f129])).
% 0.13/0.41 fof(f132,plain,(
% 0.13/0.41 sQ0_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f64,f118,f129])).
% 0.13/0.41 fof(f133,definition,(
% 0.13/0.41 sQ4_spl <=> (inverse(sk_c5)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f134,plain,(
% 0.13/0.41 inverse(sk_c5)=sk_c10|~sQ4_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.13/0.41 fof(f136,plain,(
% 0.13/0.41 sQ0_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f65,f118,f133])).
% 0.13/0.41 fof(f137,definition,(
% 0.13/0.41 sQ5_spl <=> (inverse(sk_c6)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f138,plain,(
% 0.13/0.41 inverse(sk_c6)=sk_c11|~sQ5_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f137])).
% 0.13/0.41 fof(f141,definition,(
% 0.13/0.41 sQ6_spl <=> (multiply(sk_c6,sk_c10)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f142,plain,(
% 0.13/0.41 multiply(sk_c6,sk_c10)=sk_c11|~sQ6_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f141])).
% 0.13/0.41 fof(f145,definition,(
% 0.13/0.41 sQ7_spl <=> (multiply(sk_c7,sk_c8)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f146,plain,(
% 0.13/0.41 multiply(sk_c7,sk_c8)=sk_c10|~sQ7_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f145])).
% 0.13/0.41 fof(f148,plain,(
% 0.13/0.41 sQ0_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f68,f118,f145])).
% 0.13/0.41 fof(f149,definition,(
% 0.13/0.41 sQ8_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f150,plain,(
% 0.13/0.41 inverse(sk_c7)=sk_c8|~sQ8_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f149])).
% 0.13/0.41 fof(f152,plain,(
% 0.13/0.41 sQ0_spl|sQ8_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f69,f118,f149])).
% 0.13/0.41 fof(f153,definition,(
% 0.13/0.41 sQ9_spl <=> (multiply(sk_c8,sk_c9)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f154,plain,(
% 0.13/0.41 multiply(sk_c8,sk_c9)=sk_c10|~sQ9_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f153])).
% 0.13/0.41 fof(f157,definition,(
% 0.13/0.41 sQ10_spl <=> (inverse(sk_c1)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f158,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c11|~sQ10_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f157])).
% 0.13/0.41 fof(f160,plain,(
% 0.13/0.41 sQ10_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f71,f157,f121])).
% 0.13/0.41 fof(f161,plain,(
% 0.13/0.41 sQ10_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f72,f157,f125])).
% 0.13/0.41 fof(f162,plain,(
% 0.13/0.41 sQ10_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f73,f157,f129])).
% 0.13/0.41 fof(f163,plain,(
% 0.13/0.41 sQ10_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f74,f157,f133])).
% 0.13/0.41 fof(f164,plain,(
% 0.13/0.41 sQ10_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f75,f157,f137])).
% 0.13/0.41 fof(f165,plain,(
% 0.13/0.41 sQ10_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f76,f157,f141])).
% 0.13/0.41 fof(f166,plain,(
% 0.13/0.41 sQ10_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f77,f157,f145])).
% 0.13/0.41 fof(f167,plain,(
% 0.13/0.41 sQ10_spl|sQ8_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f78,f157,f149])).
% 0.13/0.41 fof(f168,plain,(
% 0.13/0.41 sQ10_spl|sQ9_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f79,f157,f153])).
% 0.13/0.41 fof(f169,definition,(
% 0.13/0.41 sQ11_spl <=> (multiply(sk_c1,sk_c10)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f170,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c11|~sQ11_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f169])).
% 0.13/0.41 fof(f172,plain,(
% 0.13/0.41 sQ11_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f80,f169,f121])).
% 0.13/0.41 fof(f173,plain,(
% 0.13/0.41 sQ11_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f81,f169,f125])).
% 0.13/0.41 fof(f174,plain,(
% 0.13/0.41 sQ11_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f82,f169,f129])).
% 0.13/0.41 fof(f175,plain,(
% 0.13/0.41 sQ11_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f83,f169,f133])).
% 0.13/0.41 fof(f176,plain,(
% 0.13/0.41 sQ11_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f84,f169,f137])).
% 0.13/0.41 fof(f177,plain,(
% 0.13/0.41 sQ11_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f85,f169,f141])).
% 0.13/0.41 fof(f178,plain,(
% 0.13/0.41 sQ11_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f86,f169,f145])).
% 0.13/0.41 fof(f179,plain,(
% 0.13/0.41 sQ11_spl|sQ8_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f87,f169,f149])).
% 0.13/0.41 fof(f180,plain,(
% 0.13/0.41 sQ11_spl|sQ9_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f88,f169,f153])).
% 0.13/0.41 fof(f181,definition,(
% 0.13/0.41 sQ12_spl <=> (multiply(sk_c2,sk_c3)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f182,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c3)=sk_c10|~sQ12_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f181])).
% 0.13/0.41 fof(f184,plain,(
% 0.13/0.41 sQ12_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f89,f181,f121])).
% 0.13/0.41 fof(f185,plain,(
% 0.13/0.41 sQ12_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f90,f181,f125])).
% 0.13/0.41 fof(f186,plain,(
% 0.13/0.41 sQ12_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f91,f181,f129])).
% 0.13/0.41 fof(f187,plain,(
% 0.13/0.41 sQ12_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f92,f181,f133])).
% 0.13/0.41 fof(f190,plain,(
% 0.13/0.41 sQ12_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f95,f181,f145])).
% 0.13/0.41 fof(f191,plain,(
% 0.13/0.41 sQ12_spl|sQ8_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f96,f181,f149])).
% 0.13/0.41 fof(f192,plain,(
% 0.13/0.41 sQ12_spl|sQ9_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f97,f181,f153])).
% 0.13/0.41 fof(f193,definition,(
% 0.13/0.41 sQ13_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f194,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c3|~sQ13_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f193])).
% 0.13/0.41 fof(f196,plain,(
% 0.13/0.41 sQ13_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f98,f193,f121])).
% 0.13/0.41 fof(f197,plain,(
% 0.13/0.41 sQ13_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f99,f193,f125])).
% 0.13/0.41 fof(f198,plain,(
% 0.13/0.41 sQ13_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f100,f193,f129])).
% 0.13/0.41 fof(f199,plain,(
% 0.13/0.41 sQ13_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f101,f193,f133])).
% 0.13/0.41 fof(f202,plain,(
% 0.13/0.41 sQ13_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f104,f193,f145])).
% 0.13/0.41 fof(f203,plain,(
% 0.13/0.41 sQ13_spl|sQ8_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f105,f193,f149])).
% 0.13/0.41 fof(f204,plain,(
% 0.13/0.41 sQ13_spl|sQ9_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f106,f193,f153])).
% 0.13/0.41 fof(f205,definition,(
% 0.13/0.41 sQ14_spl <=> (multiply(sk_c3,sk_c9)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f206,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c10|~sQ14_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f205])).
% 0.13/0.41 fof(f208,plain,(
% 0.13/0.41 sQ14_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f107,f205,f121])).
% 0.13/0.41 fof(f209,plain,(
% 0.13/0.41 sQ14_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f108,f205,f125])).
% 0.13/0.41 fof(f214,plain,(
% 0.13/0.41 sQ14_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f113,f205,f145])).
% 0.13/0.41 fof(f215,plain,(
% 0.13/0.41 sQ14_spl|sQ8_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f114,f205,f149])).
% 0.13/0.41 fof(f217,definition,(
% 0.13/0.41 ![X0]: (sQ15_spl <=> (~inverse(X0)=sk_c11|~multiply(X0,sk_c10)=sk_c11))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f218,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c11|~multiply(X0,sk_c10)=sk_c11|~sQ15_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f217])).
% 0.13/0.41 fof(f220,definition,(
% 0.13/0.41 ![X1,X2]: (sQ16_spl <=> (~multiply(X1,X2)=sk_c10|~inverse(X1)=X2|~multiply(X2,sk_c9)=sk_c10))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f221,plain,(
% 0.13/0.41 ![X0,X1]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~sQ16_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f220])).
% 0.13/0.41 fof(f223,definition,(
% 0.13/0.41 ![X3]: (sQ17_spl <=> (~multiply(X3,sk_c11)=sk_c10|~inverse(X3)=sk_c11))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f224,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ17_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f223])).
% 0.13/0.41 fof(f226,definition,(
% 0.13/0.41 ![X4]: (sQ18_spl <=> (~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f227,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ18_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f226])).
% 0.13/0.41 fof(f229,plain,(
% 0.13/0.41 ~sQ0_spl|sQ15_spl|sQ16_spl|sQ17_spl|sQ18_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f117,f118,f217,f220,f223,f226])).
% 0.13/0.41 fof(f230,plain,(
% 0.13/0.41 ~inverse(sk_c5)=sk_c10|~sQ18_spl|~sQ3_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f227,f130])).
% 0.13/0.41 fof(f234,plain,(
% 0.13/0.41 ~sk_c10=sk_c10|~sQ4_spl|~sQ18_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f134,f230])).
% 0.13/0.41 fof(f235,plain,(
% 0.13/0.41 $false|~sQ4_spl|~sQ18_spl|~sQ3_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f234])).
% 0.13/0.41 fof(f236,plain,(
% 0.13/0.41 ~sQ4_spl|~sQ18_spl|~sQ3_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f235])).
% 0.13/0.41 fof(f237,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~sQ16_spl)),
% 0.13/0.41 inference(destructive_equality_resolution,[status(thm)],[f221])).
% 0.13/0.41 fof(f249,plain,(
% 0.13/0.41 ~inverse(sk_c4)=sk_c11|~sQ17_spl|~sQ1_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f224,f122])).
% 0.13/0.41 fof(f252,plain,(
% 0.13/0.41 ~sk_c11=sk_c11|~sQ2_spl|~sQ17_spl|~sQ1_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f126,f249])).
% 0.13/0.41 fof(f253,plain,(
% 0.13/0.41 $false|~sQ2_spl|~sQ17_spl|~sQ1_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f252])).
% 0.13/0.41 fof(f254,plain,(
% 0.13/0.41 ~sQ2_spl|~sQ17_spl|~sQ1_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f253])).
% 0.13/0.41 fof(f259,plain,(
% 0.13/0.41 multiply(sk_c11,sk_c1)=identity|~sQ10_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f158,f60])).
% 0.13/0.41 fof(f260,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c2)=identity|~sQ13_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f194,f60])).
% 0.13/0.41 fof(f261,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f60,f61])).
% 0.13/0.41 fof(f262,plain,(
% 0.13/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f59,f261])).
% 0.13/0.41 fof(f283,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f59,f262])).
% 0.13/0.41 fof(f288,plain,(
% 0.13/0.41 sk_c8=multiply(inverse(sk_c7),sk_c10)|~sQ7_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f146,f262])).
% 0.13/0.41 fof(f291,plain,(
% 0.13/0.41 sk_c10=multiply(inverse(sk_c1),sk_c11)|~sQ11_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f170,f262])).
% 0.13/0.41 fof(f292,plain,(
% 0.13/0.41 sk_c3=multiply(inverse(sk_c2),sk_c10)|~sQ12_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f182,f262])).
% 0.13/0.41 fof(f297,plain,(
% 0.13/0.41 sk_c8=multiply(sk_c8,sk_c10)|~sQ8_spl|~sQ7_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f150,f288])).
% 0.13/0.41 fof(f298,plain,(
% 0.13/0.41 sk_c10=multiply(sk_c11,sk_c11)|~sQ10_spl|~sQ11_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f158,f291])).
% 0.13/0.41 fof(f299,plain,(
% 0.13/0.41 sk_c3=multiply(sk_c3,sk_c10)|~sQ13_spl|~sQ12_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f194,f292])).
% 0.13/0.41 fof(f305,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f283,f262])).
% 0.13/0.41 fof(f309,plain,(
% 0.13/0.41 sk_c10=multiply(inverse(sk_c8),sk_c8)|~sQ8_spl|~sQ7_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f297,f262])).
% 0.13/0.41 fof(f311,plain,(
% 0.13/0.41 sk_c10=identity|~sQ8_spl|~sQ7_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f60,f309])).
% 0.13/0.41 fof(f312,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(inverse(sk_c10),X0)|~sQ8_spl|~sQ7_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f311,f283])).
% 0.13/0.41 fof(f318,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c10|~sQ8_spl|~sQ7_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f311,f60])).
% 0.13/0.41 fof(f319,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c10,X0)=X0|~sQ8_spl|~sQ7_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f311,f59])).
% 0.13/0.41 fof(f320,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c9,X0)|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f119,f312])).
% 0.13/0.41 fof(f321,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(inverse(sk_c9),X0)|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f320,f262])).
% 0.13/0.41 fof(f323,plain,(
% 0.13/0.41 ~multiply(sk_c10,inverse(sk_c10))=sk_c10|~multiply(sk_c9,sk_c9)=sk_c10|~sQ16_spl|~sQ0_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f119,f237])).
% 0.13/0.41 fof(f327,plain,(
% 0.13/0.41 ~multiply(sk_c2,inverse(sk_c2))=sk_c10|~multiply(sk_c3,sk_c9)=sk_c10|~sQ16_spl|~sQ13_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f194,f237])).
% 0.13/0.41 fof(f328,definition,(
% 0.13/0.41 sQ19_spl <=> (multiply(sk_c10,inverse(sk_c10))=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f330,plain,(
% 0.13/0.41 ~multiply(sk_c10,inverse(sk_c10))=sk_c10|sQ19_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f328])).
% 0.13/0.41 fof(f331,definition,(
% 0.13/0.41 sQ20_spl <=> (multiply(sk_c9,sk_c9)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f333,plain,(
% 0.13/0.41 ~multiply(sk_c9,sk_c9)=sk_c10|sQ20_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f331])).
% 0.13/0.41 fof(f334,plain,(
% 0.13/0.41 ~sQ19_spl|~sQ20_spl|~sQ16_spl|~sQ0_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f323,f328,f331,f220,f118])).
% 0.13/0.41 fof(f350,definition,(
% 0.13/0.41 sQ25_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f352,plain,(
% 0.13/0.41 ~multiply(sk_c2,inverse(sk_c2))=sk_c10|sQ25_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f350])).
% 0.13/0.41 fof(f353,plain,(
% 0.13/0.41 ~sQ25_spl|~sQ14_spl|~sQ16_spl|~sQ13_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f327,f350,f205,f220,f193])).
% 0.13/0.41 fof(f354,plain,(
% 0.13/0.41 ~multiply(sk_c2,sk_c3)=sk_c10|~sQ13_spl|sQ25_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f194,f352])).
% 0.13/0.41 fof(f355,plain,(
% 0.13/0.41 ~sk_c10=sk_c10|~sQ12_spl|~sQ13_spl|sQ25_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f182,f354])).
% 0.13/0.41 fof(f356,plain,(
% 0.13/0.41 $false|~sQ12_spl|~sQ13_spl|sQ25_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f355])).
% 0.13/0.41 fof(f357,plain,(
% 0.13/0.41 ~sQ12_spl|~sQ13_spl|sQ25_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f356])).
% 0.13/0.41 fof(f362,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(sk_c10,X0)=multiply(inverse(X1),multiply(X1,X0))|~sQ8_spl|~sQ7_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f318,f61])).
% 0.13/0.41 fof(f363,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c10,X0)=X0|~sQ8_spl|~sQ7_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f262,f362])).
% 0.13/0.41 fof(f368,plain,(
% 0.13/0.41 multiply(sk_c10,sk_c5)=sk_c10|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f134,f318])).
% 0.13/0.41 fof(f370,plain,(
% 0.13/0.41 sk_c5=sk_c10|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f319,f368])).
% 0.13/0.41 fof(f372,plain,(
% 0.13/0.41 inverse(sk_c5)=sk_c5|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f370,f134])).
% 0.13/0.41 fof(f373,plain,(
% 0.13/0.41 ~inverse(sk_c5)=sk_c9|~sQ8_spl|~sQ7_spl|~sQ4_spl|sQ0_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f370,f120])).
% 0.13/0.41 fof(f376,plain,(
% 0.13/0.41 sk_c5=identity|~sQ4_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f370,f311])).
% 0.13/0.41 fof(f377,plain,(
% 0.13/0.41 sk_c8=multiply(sk_c8,sk_c5)|~sQ4_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f370,f297])).
% 0.13/0.41 fof(f380,plain,(
% 0.13/0.41 multiply(sk_c5,sk_c5)=sk_c9|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f370,f130])).
% 0.13/0.41 fof(f383,plain,(
% 0.13/0.41 multiply(sk_c8,sk_c9)=sk_c5|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f370,f154])).
% 0.13/0.41 fof(f386,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c5,X0)=X0|~sQ4_spl|~sQ8_spl|~sQ7_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f370,f363])).
% 0.13/0.41 fof(f391,plain,(
% 0.13/0.41 ~sk_c5=sk_c9|~sQ8_spl|~sQ7_spl|~sQ4_spl|sQ0_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f372,f373])).
% 0.13/0.41 fof(f432,plain,(
% 0.13/0.41 sk_c5=sk_c9|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f386,f380])).
% 0.13/0.41 fof(f433,plain,(
% 0.13/0.41 $false|sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f432,f391])).
% 0.13/0.41 fof(f434,plain,(
% 0.13/0.41 sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f433])).
% 0.13/0.41 fof(f457,plain,(
% 0.13/0.41 multiply(sk_c8,sk_c5)=sk_c5|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f432,f383])).
% 0.13/0.41 fof(f460,plain,(
% 0.13/0.41 sk_c8=sk_c9|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f474,f432])).
% 0.13/0.41 fof(f472,plain,(
% 0.13/0.41 sk_c8=identity|~sQ3_spl|~sQ9_spl|~sQ4_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f474,f376])).
% 0.13/0.41 fof(f473,plain,(
% 0.13/0.41 sk_c8=sk_c10|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f474,f370])).
% 0.13/0.41 fof(f474,plain,(
% 0.13/0.41 sk_c8=sk_c5|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ9_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f377,f457])).
% 0.13/0.41 fof(f505,definition,(
% 0.13/0.41 sQ28_spl <=> (sk_c10=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f507,plain,(
% 0.13/0.41 ~sk_c10=sk_c10|sQ28_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f505])).
% 0.13/0.41 fof(f509,plain,(
% 0.13/0.41 $false|sQ28_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f507])).
% 0.13/0.41 fof(f510,plain,(
% 0.13/0.41 sQ28_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f509])).
% 0.13/0.41 fof(f531,plain,(
% 0.13/0.41 sk_c11=multiply(inverse(sk_c11),sk_c10)|~sQ10_spl|~sQ11_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f298,f262])).
% 0.13/0.41 fof(f534,plain,(
% 0.13/0.41 ~sk_c9=sk_c10|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ20_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f320,f333])).
% 0.13/0.41 fof(f535,plain,(
% 0.13/0.41 sk_c10=multiply(inverse(sk_c3),sk_c3)|~sQ13_spl|~sQ12_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f299,f262])).
% 0.13/0.41 fof(f551,plain,(
% 0.13/0.41 sk_c9=sk_c10|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f321,f318])).
% 0.13/0.41 fof(f560,plain,(
% 0.13/0.41 $false|sQ20_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f551,f534])).
% 0.13/0.41 fof(f561,plain,(
% 0.13/0.41 sQ20_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f560])).
% 0.13/0.41 fof(f575,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f262,f283])).
% 0.13/0.41 fof(f584,plain,(
% 0.13/0.41 sk_c1=multiply(inverse(sk_c11),identity)|~sQ10_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f259,f262])).
% 0.13/0.41 fof(f587,plain,(
% 0.13/0.41 ~inverse(sk_c6)=sk_c11|~sQ15_spl|~sQ6_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f218,f142])).
% 0.13/0.41 fof(f588,plain,(
% 0.13/0.41 ~inverse(sk_c1)=sk_c11|~sQ15_spl|~sQ11_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f218,f170])).
% 0.13/0.41 fof(f596,plain,(
% 0.13/0.41 ~sk_c11=sk_c11|~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f138,f587])).
% 0.13/0.41 fof(f597,plain,(
% 0.13/0.41 $false|~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f596])).
% 0.13/0.41 fof(f598,plain,(
% 0.13/0.41 ~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f597])).
% 0.13/0.41 fof(f633,plain,(
% 0.13/0.41 inverse(identity)=identity),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f60,f305])).
% 0.13/0.41 fof(f651,plain,(
% 0.13/0.41 ~sk_c10=sk_c10|~inverse(sk_c11)=sk_c11|~sQ17_spl|~sQ10_spl|~sQ11_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f298,f224])).
% 0.13/0.41 fof(f662,definition,(
% 0.13/0.41 sQ31_spl <=> (inverse(sk_c11)=sk_c11)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f664,plain,(
% 0.13/0.41 ~inverse(sk_c11)=sk_c11|sQ31_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f662])).
% 0.13/0.41 fof(f665,plain,(
% 0.13/0.41 ~sQ28_spl|~sQ31_spl|~sQ17_spl|~sQ10_spl|~sQ11_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f651,f505,f662,f223,f157,f169])).
% 0.13/0.41 fof(f674,plain,(
% 0.13/0.41 ~sk_c11=sk_c11|~sQ10_spl|~sQ15_spl|~sQ11_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f158,f588])).
% 0.13/0.41 fof(f675,plain,(
% 0.13/0.41 $false|~sQ10_spl|~sQ15_spl|~sQ11_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f674])).
% 0.13/0.41 fof(f676,plain,(
% 0.13/0.41 ~sQ10_spl|~sQ15_spl|~sQ11_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f675])).
% 0.13/0.41 fof(f709,plain,(
% 0.13/0.41 ~multiply(sk_c10,sk_c9)=sk_c10|~sQ0_spl|sQ19_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f119,f330])).
% 0.13/0.41 fof(f726,plain,(
% 0.13/0.41 sk_c10=identity|~sQ13_spl|~sQ12_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f60,f535])).
% 0.13/0.41 fof(f729,definition,(
% 0.13/0.41 sQ34_spl <=> (sk_c9=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f731,plain,(
% 0.13/0.41 ~sk_c9=sk_c9|sQ34_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f729])).
% 0.13/0.41 fof(f746,plain,(
% 0.13/0.41 $false|sQ34_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f731])).
% 0.13/0.41 fof(f747,plain,(
% 0.13/0.41 sQ34_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f746])).
% 0.13/0.41 fof(f752,plain,(
% 0.13/0.41 inverse(identity)=sk_c10|~sQ13_spl|~sQ12_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f726,f633])).
% 0.13/0.41 fof(f758,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c2)=sk_c10|~sQ12_spl|~sQ13_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f726,f260])).
% 0.13/0.41 fof(f759,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c10,X0)=X0|~sQ13_spl|~sQ12_spl)),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f726,f575])).
% 0.13/0.41 fof(f760,plain,(
% 0.13/0.41 inverse(sk_c10)=sk_c10|~sQ13_spl|~sQ12_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f726,f752])).
% 0.13/0.41 fof(f761,plain,(
% 0.13/0.41 sk_c9=sk_c10|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f119,f760])).
% 0.13/0.41 fof(f762,plain,(
% 0.13/0.41 sk_c9=identity|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f761,f726])).
% 0.13/0.41 fof(f763,plain,(
% 0.13/0.41 sk_c11=multiply(inverse(sk_c11),sk_c9)|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl|~sQ11_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f761,f531])).
% 0.13/0.41 fof(f765,plain,(
% 0.13/0.41 ~multiply(sk_c10,sk_c9)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f761,f709])).
% 0.13/0.41 fof(f774,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c9)=sk_c9|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f761,f206])).
% 0.13/0.41 fof(f784,plain,(
% 0.13/0.41 inverse(sk_c9)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f761,f119])).
% 0.13/0.41 fof(f785,plain,(
% 0.13/0.41 ~multiply(sk_c9,sk_c9)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f761,f765])).
% 0.13/0.41 fof(f787,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c9|~inverse(X0)=sk_c10|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ18_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f761,f227])).
% 0.13/0.41 fof(f788,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c9|~inverse(X0)=sk_c9|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ18_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f761,f787])).
% 0.13/0.41 fof(f804,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c9,X0)=X0|~sQ0_spl|~sQ13_spl|~sQ12_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f761,f759])).
% 0.13/0.41 fof(f805,plain,(
% 0.13/0.41 ~inverse(sk_c9)=sk_c9|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ18_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f804,f788])).
% 0.13/0.41 fof(f816,plain,(
% 0.13/0.41 ~sk_c9=sk_c9|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ18_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f784,f805])).
% 0.13/0.41 fof(f817,plain,(
% 0.13/0.41 $false|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ18_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f816])).
% 0.13/0.41 fof(f818,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ18_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f817])).
% 0.13/0.41 fof(f838,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c2)=sk_c9|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f761,f758])).
% 0.13/0.41 fof(f842,plain,(
% 0.13/0.41 ~sk_c9=sk_c9|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f804,f785])).
% 0.13/0.41 fof(f843,plain,(
% 0.13/0.41 $false|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f842])).
% 0.13/0.41 fof(f844,plain,(
% 0.13/0.41 ~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ19_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f843])).
% 0.13/0.41 fof(f850,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c3,multiply(sk_c9,X0))|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f774,f61])).
% 0.13/0.41 fof(f851,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c3,multiply(sk_c9,X0))|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f804,f850])).
% 0.13/0.41 fof(f852,plain,(
% 0.13/0.41 ![X0]: (X0=multiply(sk_c3,X0)|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ14_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f804,f851])).
% 0.13/0.41 fof(f858,plain,(
% 0.13/0.41 sk_c2=sk_c9|~sQ14_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f852,f838])).
% 0.13/0.41 fof(f866,plain,(
% 0.13/0.41 inverse(sk_c9)=sk_c2|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f858,f784])).
% 0.13/0.41 fof(f869,plain,(
% 0.13/0.41 sk_c2=identity|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f858,f762])).
% 0.13/0.41 fof(f873,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c2|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f858,f866])).
% 0.13/0.41 fof(f874,plain,(
% 0.13/0.41 sk_c3=sk_c2|~sQ14_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f194,f873])).
% 0.13/0.41 fof(f875,plain,(
% 0.13/0.41 sk_c3=sk_c9|~sQ14_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.41 inference(backward_demodulation,[status(thm)],[f874,f858])).
% 0.13/0.41 fof(f877,plain,(
% 0.13/0.41 sk_c3=identity|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f874,f869])).
% 0.13/0.41 fof(f926,definition,(
% 0.13/0.41 sQ40_spl <=> (sk_c3=sk_c3)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f928,plain,(
% 0.13/0.41 ~sk_c3=sk_c3|sQ40_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f926])).
% 0.13/0.41 fof(f949,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c9)=sk_c10|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ16_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f473,f237])).
% 0.13/0.41 fof(f950,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c8)=sk_c10|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ16_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f460,f949])).
% 0.13/0.41 fof(f951,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c8)=sk_c8|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ16_spl)),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f473,f950])).
% 0.13/0.41 fof(f971,plain,(
% 0.13/0.41 inverse(sk_c8)=sk_c9|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f473,f119])).
% 0.13/0.41 fof(f972,plain,(
% 0.13/0.41 inverse(sk_c8)=sk_c8|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f460,f971])).
% 0.13/0.41 fof(f973,plain,(
% 0.13/0.41 ~multiply(sk_c8,inverse(sk_c8))=sk_c8|~multiply(sk_c8,sk_c8)=sk_c8|~sQ16_spl|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f972,f951])).
% 0.13/0.42 fof(f975,definition,(
% 0.13/0.42 sQ47_spl <=> (multiply(sk_c8,inverse(sk_c8))=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f977,plain,(
% 0.13/0.42 ~multiply(sk_c8,inverse(sk_c8))=sk_c8|sQ47_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f975])).
% 0.13/0.42 fof(f978,definition,(
% 0.13/0.42 sQ48_spl <=> (multiply(sk_c8,sk_c8)=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f980,plain,(
% 0.13/0.42 ~multiply(sk_c8,sk_c8)=sk_c8|sQ48_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f978])).
% 0.13/0.42 fof(f981,plain,(
% 0.13/0.42 ~sQ47_spl|~sQ48_spl|~sQ16_spl|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f973,f975,f978,f220,f129,f153,f149,f145,f133,f118])).
% 0.13/0.42 fof(f982,plain,(
% 0.13/0.42 ~multiply(sk_c8,sk_c8)=sk_c8|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|sQ47_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f972,f977])).
% 0.13/0.42 fof(f985,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c8,X0)=X0|~sQ3_spl|~sQ9_spl|~sQ4_spl|~sQ8_spl|~sQ7_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f472,f575])).
% 0.13/0.42 fof(f1003,plain,(
% 0.13/0.42 ~sk_c8=sk_c8|~sQ3_spl|~sQ9_spl|~sQ4_spl|~sQ8_spl|~sQ7_spl|sQ48_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f985,f980])).
% 0.13/0.42 fof(f1004,plain,(
% 0.13/0.42 $false|~sQ3_spl|~sQ9_spl|~sQ4_spl|~sQ8_spl|~sQ7_spl|sQ48_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1003])).
% 0.13/0.42 fof(f1005,plain,(
% 0.13/0.42 ~sQ3_spl|~sQ9_spl|~sQ4_spl|~sQ8_spl|~sQ7_spl|sQ48_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1004])).
% 0.13/0.42 fof(f1006,plain,(
% 0.13/0.42 ~sQ48_spl|~sQ3_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ0_spl|sQ47_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f982,f978,f129,f153,f149,f145,f133,f118,f975])).
% 0.13/0.42 fof(f1008,plain,(
% 0.13/0.42 $false|sQ40_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f928])).
% 0.13/0.42 fof(f1009,plain,(
% 0.13/0.42 sQ40_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1008])).
% 0.13/0.42 fof(f1140,plain,(
% 0.13/0.42 sk_c1=multiply(inverse(sk_c11),sk_c3)|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f877,f584])).
% 0.13/0.42 fof(f1183,plain,(
% 0.13/0.42 sk_c11=multiply(inverse(sk_c11),sk_c3)|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f875,f763])).
% 0.13/0.42 fof(f1195,plain,(
% 0.13/0.42 ~inverse(sk_c11)=sk_c1|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl|~sQ11_spl|sQ31_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1201,f664])).
% 0.13/0.42 fof(f1200,plain,(
% 0.13/0.42 inverse(sk_c1)=sk_c1|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f1201,f158])).
% 0.13/0.42 fof(f1201,plain,(
% 0.13/0.42 sk_c11=sk_c1|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1140,f1183])).
% 0.13/0.42 fof(f1204,plain,(
% 0.13/0.42 ~inverse(sk_c1)=sk_c1|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl|~sQ11_spl|sQ31_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1201,f1195])).
% 0.13/0.42 fof(f1208,plain,(
% 0.13/0.42 $false|sQ31_spl|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1200,f1204])).
% 0.13/0.42 fof(f1209,plain,(
% 0.13/0.42 sQ31_spl|~sQ14_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1208])).
% 0.13/0.42 fof(f1210,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f132,f136,f148,f152,f160,f161,f162,f163,f164,f165,f166,f167,f168,f172,f173,f174,f175,f176,f177,f178,f179,f180,f184,f185,f186,f187,f190,f191,f192,f196,f197,f198,f199,f202,f203,f204,f208,f209,f214,f215,f229,f236,f254,f334,f353,f357,f434,f510,f561,f598,f665,f676,f747,f818,f844,f981,f1005,f1006,f1009,f1209])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.065346 seconds
% 0.13/0.43 % CPU time: 0.261271 seconds
% 0.13/0.43 % Total memory used: 88.063 MB
% 0.13/0.43 % Net memory used: 87.856 MB
%------------------------------------------------------------------------------