%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP208-1 : 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 : n014.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 12:36:15 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP208-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.40 % Computer : n014.cluster.edu
% 0.12/5.40 % Model : x86_64 x86_64
% 0.12/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40 % Memory : 8046.5625MB
% 0.12/5.40 % OS : Linux 6.8.0-71-generic
% 0.16/5.40 % CPULimit : 300
% 0.16/5.40 % WCLimit : 300
% 0.16/5.40 % DateTime : Sun Sep 20 20:06:10 UTC 2026
% 0.16/5.40 % CPUTime :
% 0.16/5.42 % Drodi V4.1.1
% 0.16/5.47 % Refutation found
% 0.16/5.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/5.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.47 fof(f1,axiom,(
% 0.16/5.47 (![X]: (multiply(identity,X) = X ))),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f2,axiom,(
% 0.16/5.47 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f3,axiom,(
% 0.16/5.47 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f4,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c1,sk_c2) = sk_c12| multiply(sk_c5,sk_c6) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f5,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c1,sk_c2) = sk_c12| inverse(sk_c5) = sk_c6 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f6,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c1,sk_c2) = sk_c12| multiply(sk_c6,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f7,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c1,sk_c2) = sk_c12| inverse(sk_c7) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f8,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c1,sk_c2) = sk_c12| multiply(sk_c7,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f9,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c1,sk_c2) = sk_c12| multiply(sk_c8,sk_c9) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f10,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c1,sk_c2) = sk_c12| inverse(sk_c8) = sk_c9 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f11,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c1,sk_c2) = sk_c12| multiply(sk_c9,sk_c12) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f12,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c1,sk_c2) = sk_c12| inverse(sk_c10) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f13,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c1,sk_c2) = sk_c12| multiply(sk_c10,sk_c12) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f14,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c6) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f15,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c6 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f16,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c1) = sk_c2| multiply(sk_c6,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f17,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c1) = sk_c2| inverse(sk_c7) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f18,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c1) = sk_c2| multiply(sk_c7,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f19,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c9) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f20,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c1) = sk_c2| inverse(sk_c8) = sk_c9 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f21,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c1) = sk_c2| multiply(sk_c9,sk_c12) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f22,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c1) = sk_c2| inverse(sk_c10) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f23,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c1) = sk_c2| multiply(sk_c10,sk_c12) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f24,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c2,sk_c11) = sk_c12| multiply(sk_c5,sk_c6) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f25,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c2,sk_c11) = sk_c12| inverse(sk_c5) = sk_c6 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f26,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c2,sk_c11) = sk_c12| multiply(sk_c6,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f27,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c2,sk_c11) = sk_c12| inverse(sk_c7) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f28,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c2,sk_c11) = sk_c12| multiply(sk_c7,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f29,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c2,sk_c11) = sk_c12| multiply(sk_c8,sk_c9) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f30,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c2,sk_c11) = sk_c12| inverse(sk_c8) = sk_c9 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f31,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c2,sk_c11) = sk_c12| multiply(sk_c9,sk_c12) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f32,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c2,sk_c11) = sk_c12| inverse(sk_c10) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f33,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c2,sk_c11) = sk_c12| multiply(sk_c10,sk_c12) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f34,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c12,sk_c4) = sk_c11| multiply(sk_c5,sk_c6) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f35,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c12,sk_c4) = sk_c11| inverse(sk_c5) = sk_c6 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f36,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c12,sk_c4) = sk_c11| multiply(sk_c6,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f37,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c12,sk_c4) = sk_c11| inverse(sk_c7) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f38,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c12,sk_c4) = sk_c11| multiply(sk_c7,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f39,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c12,sk_c4) = sk_c11| multiply(sk_c8,sk_c9) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f40,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c12,sk_c4) = sk_c11| inverse(sk_c8) = sk_c9 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f41,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c12,sk_c4) = sk_c11| multiply(sk_c9,sk_c12) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f42,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c12,sk_c4) = sk_c11| inverse(sk_c10) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f43,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c12,sk_c4) = sk_c11| multiply(sk_c10,sk_c12) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f44,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c3,sk_c12) = sk_c4| multiply(sk_c5,sk_c6) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f45,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c3,sk_c12) = sk_c4| inverse(sk_c5) = sk_c6 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f46,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c3,sk_c12) = sk_c4| multiply(sk_c6,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f47,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c3,sk_c12) = sk_c4| inverse(sk_c7) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f48,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c3,sk_c12) = sk_c4| multiply(sk_c7,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f52,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c3,sk_c12) = sk_c4| inverse(sk_c10) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f53,negated_conjecture,(
% 0.16/5.47 ( multiply(sk_c3,sk_c12) = sk_c4| multiply(sk_c10,sk_c12) = sk_c11 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f57,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c3) = sk_c12| inverse(sk_c7) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f58,negated_conjecture,(
% 0.16/5.47 ( inverse(sk_c3) = sk_c12| multiply(sk_c7,sk_c11) = sk_c12 ) ),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f64,negated_conjecture,(
% 0.16/5.47 (![X5,X6,X7,X8,X2,X1,X3,X9,X4,X10]: (( multiply(X5,X6) != sk_c12| inverse(X5) != X6| multiply(X6,sk_c11) != sk_c12| multiply(sk_c12,X7) != sk_c11| multiply(X8,sk_c12) != X7| inverse(X8) != sk_c12| multiply(X2,X1) != sk_c12| inverse(X2) != X1| multiply(X1,sk_c11) != sk_c12| inverse(X3) != sk_c12| multiply(X3,sk_c11) != sk_c12| multiply(X9,X4) != sk_c11| inverse(X9) != X4| multiply(X4,sk_c12) != sk_c11| inverse(X10) != sk_c11| multiply(X10,sk_c12) != sk_c11 ) ))),
% 0.16/5.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.47 fof(f65,plain,(
% 0.16/5.47 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/5.47 fof(f66,plain,(
% 0.16/5.47 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/5.47 fof(f67,plain,(
% 0.16/5.47 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/5.47 fof(f68,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|multiply(sk_c5,sk_c6)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/5.47 fof(f69,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|inverse(sk_c5)=sk_c6),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/5.47 fof(f70,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|multiply(sk_c6,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/5.47 fof(f71,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|inverse(sk_c7)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/5.47 fof(f72,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|multiply(sk_c7,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/5.47 fof(f73,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|multiply(sk_c8,sk_c9)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/5.47 fof(f74,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|inverse(sk_c8)=sk_c9),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f10])).
% 0.16/5.47 fof(f75,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|multiply(sk_c9,sk_c12)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f11])).
% 0.16/5.47 fof(f76,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|inverse(sk_c10)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/5.47 fof(f77,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|multiply(sk_c10,sk_c12)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f13])).
% 0.16/5.47 fof(f78,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c6)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f14])).
% 0.16/5.47 fof(f79,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c6),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/5.47 fof(f80,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|multiply(sk_c6,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.16/5.47 fof(f81,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|inverse(sk_c7)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/5.47 fof(f82,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|multiply(sk_c7,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/5.47 fof(f83,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c9)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f19])).
% 0.16/5.47 fof(f84,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|inverse(sk_c8)=sk_c9),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f20])).
% 0.16/5.47 fof(f85,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|multiply(sk_c9,sk_c12)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f21])).
% 0.16/5.47 fof(f86,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|inverse(sk_c10)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/5.47 fof(f87,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|multiply(sk_c10,sk_c12)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f23])).
% 0.16/5.47 fof(f88,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|multiply(sk_c5,sk_c6)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f24])).
% 0.16/5.47 fof(f89,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|inverse(sk_c5)=sk_c6),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f25])).
% 0.16/5.47 fof(f90,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|multiply(sk_c6,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f26])).
% 0.16/5.47 fof(f91,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|inverse(sk_c7)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f27])).
% 0.16/5.47 fof(f92,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|multiply(sk_c7,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f28])).
% 0.16/5.47 fof(f93,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|multiply(sk_c8,sk_c9)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f29])).
% 0.16/5.47 fof(f94,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|inverse(sk_c8)=sk_c9),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f30])).
% 0.16/5.47 fof(f95,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|multiply(sk_c9,sk_c12)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f31])).
% 0.16/5.47 fof(f96,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|inverse(sk_c10)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f32])).
% 0.16/5.47 fof(f97,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|multiply(sk_c10,sk_c12)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f33])).
% 0.16/5.47 fof(f98,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|multiply(sk_c5,sk_c6)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f34])).
% 0.16/5.47 fof(f99,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|inverse(sk_c5)=sk_c6),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f35])).
% 0.16/5.47 fof(f100,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|multiply(sk_c6,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f36])).
% 0.16/5.47 fof(f101,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|inverse(sk_c7)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f37])).
% 0.16/5.47 fof(f102,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|multiply(sk_c7,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f38])).
% 0.16/5.47 fof(f103,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|multiply(sk_c8,sk_c9)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f39])).
% 0.16/5.47 fof(f104,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|inverse(sk_c8)=sk_c9),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f40])).
% 0.16/5.47 fof(f105,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|multiply(sk_c9,sk_c12)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f41])).
% 0.16/5.47 fof(f106,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|inverse(sk_c10)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f42])).
% 0.16/5.47 fof(f107,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|multiply(sk_c10,sk_c12)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f43])).
% 0.16/5.47 fof(f108,plain,(
% 0.16/5.47 multiply(sk_c3,sk_c12)=sk_c4|multiply(sk_c5,sk_c6)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f44])).
% 0.16/5.47 fof(f109,plain,(
% 0.16/5.47 multiply(sk_c3,sk_c12)=sk_c4|inverse(sk_c5)=sk_c6),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/5.47 fof(f110,plain,(
% 0.16/5.47 multiply(sk_c3,sk_c12)=sk_c4|multiply(sk_c6,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f46])).
% 0.16/5.47 fof(f111,plain,(
% 0.16/5.47 multiply(sk_c3,sk_c12)=sk_c4|inverse(sk_c7)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f47])).
% 0.16/5.47 fof(f112,plain,(
% 0.16/5.47 multiply(sk_c3,sk_c12)=sk_c4|multiply(sk_c7,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/5.47 fof(f116,plain,(
% 0.16/5.47 multiply(sk_c3,sk_c12)=sk_c4|inverse(sk_c10)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f52])).
% 0.16/5.47 fof(f117,plain,(
% 0.16/5.47 multiply(sk_c3,sk_c12)=sk_c4|multiply(sk_c10,sk_c12)=sk_c11),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f53])).
% 0.16/5.47 fof(f121,plain,(
% 0.16/5.47 inverse(sk_c3)=sk_c12|inverse(sk_c7)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f57])).
% 0.16/5.47 fof(f122,plain,(
% 0.16/5.47 inverse(sk_c3)=sk_c12|multiply(sk_c7,sk_c11)=sk_c12),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f58])).
% 0.16/5.47 fof(f128,plain,(
% 0.16/5.47 ![X10]: (((![X4]: ((![X9]: (((![X3]: (((![X1]: ((![X2]: (((![X8]: ((![X7]: (((![X6]: ((![X5]: (~multiply(X5,X6)=sk_c12|~inverse(X5)=X6))|~multiply(X6,sk_c11)=sk_c12))|~multiply(sk_c12,X7)=sk_c11)|~multiply(X8,sk_c12)=X7))|~inverse(X8)=sk_c12))|~multiply(X2,X1)=sk_c12)|~inverse(X2)=X1))|~multiply(X1,sk_c11)=sk_c12))|~inverse(X3)=sk_c12)|~multiply(X3,sk_c11)=sk_c12))|~multiply(X9,X4)=sk_c11)|~inverse(X9)=X4))|~multiply(X4,sk_c12)=sk_c11))|~inverse(X10)=sk_c11)|~multiply(X10,sk_c12)=sk_c11)),
% 0.16/5.47 inference(miniscoping,[status(thm)],[f64])).
% 0.16/5.47 fof(f129,plain,(
% 0.16/5.47 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~multiply(X0,X1)=sk_c12|~inverse(X0)=X1|~multiply(X1,sk_c11)=sk_c12|~multiply(sk_c12,X2)=sk_c11|~multiply(X3,sk_c12)=X2|~inverse(X3)=sk_c12|~multiply(X4,X5)=sk_c12|~inverse(X4)=X5|~multiply(X5,sk_c11)=sk_c12|~inverse(X6)=sk_c12|~multiply(X6,sk_c11)=sk_c12|~multiply(X7,X8)=sk_c11|~inverse(X7)=X8|~multiply(X8,sk_c12)=sk_c11|~inverse(X9)=sk_c11|~multiply(X9,sk_c12)=sk_c11)),
% 0.16/5.47 inference(cnf_transformation,[status(thm)],[f128])).
% 0.16/5.47 fof(f130,definition,(
% 0.16/5.47 sQ0_spl <=> (multiply(sk_c1,sk_c2)=sk_c12)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f131,plain,(
% 0.16/5.47 multiply(sk_c1,sk_c2)=sk_c12|~sQ0_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f130])).
% 0.16/5.47 fof(f133,definition,(
% 0.16/5.47 sQ1_spl <=> (multiply(sk_c5,sk_c6)=sk_c12)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f134,plain,(
% 0.16/5.47 multiply(sk_c5,sk_c6)=sk_c12|~sQ1_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f133])).
% 0.16/5.47 fof(f136,plain,(
% 0.16/5.47 sQ0_spl|sQ1_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f68,f130,f133])).
% 0.16/5.47 fof(f137,definition,(
% 0.16/5.47 sQ2_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f138,plain,(
% 0.16/5.47 inverse(sk_c5)=sk_c6|~sQ2_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f137])).
% 0.16/5.47 fof(f140,plain,(
% 0.16/5.47 sQ0_spl|sQ2_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f69,f130,f137])).
% 0.16/5.47 fof(f141,definition,(
% 0.16/5.47 sQ3_spl <=> (multiply(sk_c6,sk_c11)=sk_c12)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f144,plain,(
% 0.16/5.47 sQ0_spl|sQ3_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f70,f130,f141])).
% 0.16/5.47 fof(f145,definition,(
% 0.16/5.47 sQ4_spl <=> (inverse(sk_c7)=sk_c12)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f146,plain,(
% 0.16/5.47 inverse(sk_c7)=sk_c12|~sQ4_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f145])).
% 0.16/5.47 fof(f148,plain,(
% 0.16/5.47 sQ0_spl|sQ4_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f71,f130,f145])).
% 0.16/5.47 fof(f149,definition,(
% 0.16/5.47 sQ5_spl <=> (multiply(sk_c7,sk_c11)=sk_c12)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f150,plain,(
% 0.16/5.47 multiply(sk_c7,sk_c11)=sk_c12|~sQ5_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f149])).
% 0.16/5.47 fof(f152,plain,(
% 0.16/5.47 sQ0_spl|sQ5_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f72,f130,f149])).
% 0.16/5.47 fof(f153,definition,(
% 0.16/5.47 sQ6_spl <=> (multiply(sk_c8,sk_c9)=sk_c11)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f154,plain,(
% 0.16/5.47 multiply(sk_c8,sk_c9)=sk_c11|~sQ6_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f153])).
% 0.16/5.47 fof(f156,plain,(
% 0.16/5.47 sQ0_spl|sQ6_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f73,f130,f153])).
% 0.16/5.47 fof(f157,definition,(
% 0.16/5.47 sQ7_spl <=> (inverse(sk_c8)=sk_c9)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f158,plain,(
% 0.16/5.47 inverse(sk_c8)=sk_c9|~sQ7_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f157])).
% 0.16/5.47 fof(f160,plain,(
% 0.16/5.47 sQ0_spl|sQ7_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f74,f130,f157])).
% 0.16/5.47 fof(f161,definition,(
% 0.16/5.47 sQ8_spl <=> (multiply(sk_c9,sk_c12)=sk_c11)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f164,plain,(
% 0.16/5.47 sQ0_spl|sQ8_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f75,f130,f161])).
% 0.16/5.47 fof(f165,definition,(
% 0.16/5.47 sQ9_spl <=> (inverse(sk_c10)=sk_c11)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f166,plain,(
% 0.16/5.47 inverse(sk_c10)=sk_c11|~sQ9_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f165])).
% 0.16/5.47 fof(f168,plain,(
% 0.16/5.47 sQ0_spl|sQ9_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f76,f130,f165])).
% 0.16/5.47 fof(f169,definition,(
% 0.16/5.47 sQ10_spl <=> (multiply(sk_c10,sk_c12)=sk_c11)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f170,plain,(
% 0.16/5.47 multiply(sk_c10,sk_c12)=sk_c11|~sQ10_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f169])).
% 0.16/5.47 fof(f172,plain,(
% 0.16/5.47 sQ0_spl|sQ10_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f77,f130,f169])).
% 0.16/5.47 fof(f173,definition,(
% 0.16/5.47 sQ11_spl <=> (inverse(sk_c1)=sk_c2)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f174,plain,(
% 0.16/5.47 inverse(sk_c1)=sk_c2|~sQ11_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f173])).
% 0.16/5.47 fof(f176,plain,(
% 0.16/5.47 sQ11_spl|sQ1_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f78,f173,f133])).
% 0.16/5.47 fof(f177,plain,(
% 0.16/5.47 sQ11_spl|sQ2_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f79,f173,f137])).
% 0.16/5.47 fof(f178,plain,(
% 0.16/5.47 sQ11_spl|sQ3_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f80,f173,f141])).
% 0.16/5.47 fof(f179,plain,(
% 0.16/5.47 sQ11_spl|sQ4_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f81,f173,f145])).
% 0.16/5.47 fof(f180,plain,(
% 0.16/5.47 sQ11_spl|sQ5_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f82,f173,f149])).
% 0.16/5.47 fof(f181,plain,(
% 0.16/5.47 sQ11_spl|sQ6_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f83,f173,f153])).
% 0.16/5.47 fof(f182,plain,(
% 0.16/5.47 sQ11_spl|sQ7_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f84,f173,f157])).
% 0.16/5.47 fof(f183,plain,(
% 0.16/5.47 sQ11_spl|sQ8_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f85,f173,f161])).
% 0.16/5.47 fof(f184,plain,(
% 0.16/5.47 sQ11_spl|sQ9_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f86,f173,f165])).
% 0.16/5.47 fof(f185,plain,(
% 0.16/5.47 sQ11_spl|sQ10_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f87,f173,f169])).
% 0.16/5.47 fof(f186,definition,(
% 0.16/5.47 sQ12_spl <=> (multiply(sk_c2,sk_c11)=sk_c12)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f187,plain,(
% 0.16/5.47 multiply(sk_c2,sk_c11)=sk_c12|~sQ12_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f186])).
% 0.16/5.47 fof(f189,plain,(
% 0.16/5.47 sQ12_spl|sQ1_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f88,f186,f133])).
% 0.16/5.47 fof(f190,plain,(
% 0.16/5.47 sQ12_spl|sQ2_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f89,f186,f137])).
% 0.16/5.47 fof(f191,plain,(
% 0.16/5.47 sQ12_spl|sQ3_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f90,f186,f141])).
% 0.16/5.47 fof(f192,plain,(
% 0.16/5.47 sQ12_spl|sQ4_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f91,f186,f145])).
% 0.16/5.47 fof(f193,plain,(
% 0.16/5.47 sQ12_spl|sQ5_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f92,f186,f149])).
% 0.16/5.47 fof(f194,plain,(
% 0.16/5.47 sQ12_spl|sQ6_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f93,f186,f153])).
% 0.16/5.47 fof(f195,plain,(
% 0.16/5.47 sQ12_spl|sQ7_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f94,f186,f157])).
% 0.16/5.47 fof(f196,plain,(
% 0.16/5.47 sQ12_spl|sQ8_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f95,f186,f161])).
% 0.16/5.47 fof(f197,plain,(
% 0.16/5.47 sQ12_spl|sQ9_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f96,f186,f165])).
% 0.16/5.47 fof(f198,plain,(
% 0.16/5.47 sQ12_spl|sQ10_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f97,f186,f169])).
% 0.16/5.47 fof(f199,definition,(
% 0.16/5.47 sQ13_spl <=> (multiply(sk_c12,sk_c4)=sk_c11)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f200,plain,(
% 0.16/5.47 multiply(sk_c12,sk_c4)=sk_c11|~sQ13_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f199])).
% 0.16/5.47 fof(f202,plain,(
% 0.16/5.47 sQ13_spl|sQ1_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f98,f199,f133])).
% 0.16/5.47 fof(f203,plain,(
% 0.16/5.47 sQ13_spl|sQ2_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f99,f199,f137])).
% 0.16/5.47 fof(f204,plain,(
% 0.16/5.47 sQ13_spl|sQ3_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f100,f199,f141])).
% 0.16/5.47 fof(f205,plain,(
% 0.16/5.47 sQ13_spl|sQ4_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f101,f199,f145])).
% 0.16/5.47 fof(f206,plain,(
% 0.16/5.47 sQ13_spl|sQ5_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f102,f199,f149])).
% 0.16/5.47 fof(f207,plain,(
% 0.16/5.47 sQ13_spl|sQ6_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f103,f199,f153])).
% 0.16/5.47 fof(f208,plain,(
% 0.16/5.47 sQ13_spl|sQ7_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f104,f199,f157])).
% 0.16/5.47 fof(f209,plain,(
% 0.16/5.47 sQ13_spl|sQ8_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f105,f199,f161])).
% 0.16/5.47 fof(f210,plain,(
% 0.16/5.47 sQ13_spl|sQ9_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f106,f199,f165])).
% 0.16/5.47 fof(f211,plain,(
% 0.16/5.47 sQ13_spl|sQ10_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f107,f199,f169])).
% 0.16/5.47 fof(f212,definition,(
% 0.16/5.47 sQ14_spl <=> (multiply(sk_c3,sk_c12)=sk_c4)),
% 0.16/5.47 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.16/5.47 fof(f213,plain,(
% 0.16/5.47 multiply(sk_c3,sk_c12)=sk_c4|~sQ14_spl),
% 0.16/5.47 inference(component_clause,[status(thm)],[f212])).
% 0.16/5.47 fof(f215,plain,(
% 0.16/5.47 sQ14_spl|sQ1_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f108,f212,f133])).
% 0.16/5.47 fof(f216,plain,(
% 0.16/5.47 sQ14_spl|sQ2_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f109,f212,f137])).
% 0.16/5.47 fof(f217,plain,(
% 0.16/5.47 sQ14_spl|sQ3_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f110,f212,f141])).
% 0.16/5.47 fof(f218,plain,(
% 0.16/5.47 sQ14_spl|sQ4_spl),
% 0.16/5.47 inference(split_clause,[status(thm)],[f111,f212,f145])).
% 0.16/5.48 fof(f219,plain,(
% 0.16/5.48 sQ14_spl|sQ5_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f112,f212,f149])).
% 0.16/5.48 fof(f223,plain,(
% 0.16/5.48 sQ14_spl|sQ9_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f116,f212,f165])).
% 0.16/5.48 fof(f224,plain,(
% 0.16/5.48 sQ14_spl|sQ10_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f117,f212,f169])).
% 0.16/5.48 fof(f225,definition,(
% 0.16/5.48 sQ15_spl <=> (inverse(sk_c3)=sk_c12)),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f226,plain,(
% 0.16/5.48 inverse(sk_c3)=sk_c12|~sQ15_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f225])).
% 0.16/5.48 fof(f227,plain,(
% 0.16/5.48 ~inverse(sk_c3)=sk_c12|sQ15_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f225])).
% 0.16/5.48 fof(f231,plain,(
% 0.16/5.48 sQ15_spl|sQ4_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f121,f225,f145])).
% 0.16/5.48 fof(f232,plain,(
% 0.16/5.48 sQ15_spl|sQ5_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f122,f225,f149])).
% 0.16/5.48 fof(f238,definition,(
% 0.16/5.48 ![X0,X1]: (sQ16_spl <=> (~multiply(X0,X1)=sk_c12|~inverse(X0)=X1|~multiply(X1,sk_c11)=sk_c12))),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f239,plain,(
% 0.16/5.48 ![X0,X1]: (~multiply(X0,X1)=sk_c12|~inverse(X0)=X1|~multiply(X1,sk_c11)=sk_c12|~sQ16_spl)),
% 0.16/5.48 inference(component_clause,[status(thm)],[f238])).
% 0.16/5.48 fof(f241,definition,(
% 0.16/5.48 ![X2,X3]: (sQ17_spl <=> (~multiply(sk_c12,X2)=sk_c11|~multiply(X3,sk_c12)=X2|~inverse(X3)=sk_c12))),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f242,plain,(
% 0.16/5.48 ![X0,X1]: (~multiply(sk_c12,X0)=sk_c11|~multiply(X1,sk_c12)=X0|~inverse(X1)=sk_c12|~sQ17_spl)),
% 0.16/5.48 inference(component_clause,[status(thm)],[f241])).
% 0.16/5.48 fof(f244,definition,(
% 0.16/5.48 ![X6]: (sQ18_spl <=> (~inverse(X6)=sk_c12|~multiply(X6,sk_c11)=sk_c12))),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f245,plain,(
% 0.16/5.48 ![X0]: (~inverse(X0)=sk_c12|~multiply(X0,sk_c11)=sk_c12|~sQ18_spl)),
% 0.16/5.48 inference(component_clause,[status(thm)],[f244])).
% 0.16/5.48 fof(f247,definition,(
% 0.16/5.48 ![X7,X8]: (sQ19_spl <=> (~multiply(X7,X8)=sk_c11|~inverse(X7)=X8|~multiply(X8,sk_c12)=sk_c11))),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f248,plain,(
% 0.16/5.48 ![X0,X1]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c12)=sk_c11|~sQ19_spl)),
% 0.16/5.48 inference(component_clause,[status(thm)],[f247])).
% 0.16/5.48 fof(f250,definition,(
% 0.16/5.48 ![X9]: (sQ20_spl <=> (~inverse(X9)=sk_c11|~multiply(X9,sk_c12)=sk_c11))),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f251,plain,(
% 0.16/5.48 ![X0]: (~inverse(X0)=sk_c11|~multiply(X0,sk_c12)=sk_c11|~sQ20_spl)),
% 0.16/5.48 inference(component_clause,[status(thm)],[f250])).
% 0.16/5.48 fof(f253,plain,(
% 0.16/5.48 sQ16_spl|sQ17_spl|sQ18_spl|sQ19_spl|sQ20_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f129,f238,f241,f244,f247,f250])).
% 0.16/5.48 fof(f258,plain,(
% 0.16/5.48 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c8,multiply(sk_c9,X0))|~sQ6_spl)),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f154,f67])).
% 0.16/5.48 fof(f268,plain,(
% 0.16/5.48 ~inverse(sk_c10)=sk_c11|~sQ20_spl|~sQ10_spl),
% 0.16/5.48 inference(resolution,[status(thm)],[f251,f170])).
% 0.16/5.48 fof(f272,plain,(
% 0.16/5.48 ~inverse(sk_c3)=sk_c11|~sk_c4=sk_c11|~sQ20_spl|~sQ14_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f213,f251])).
% 0.16/5.48 fof(f273,plain,(
% 0.16/5.48 ~sk_c11=sk_c11|~sQ9_spl|~sQ20_spl|~sQ10_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f166,f268])).
% 0.16/5.48 fof(f274,plain,(
% 0.16/5.48 $false|~sQ9_spl|~sQ20_spl|~sQ10_spl),
% 0.16/5.48 inference(trivial_equality_resolution,[status(thm)],[f273])).
% 0.16/5.48 fof(f275,plain,(
% 0.16/5.48 ~sQ9_spl|~sQ20_spl|~sQ10_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f274])).
% 0.16/5.48 fof(f276,plain,(
% 0.16/5.48 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c12)=sk_c11|~sQ19_spl)),
% 0.16/5.48 inference(destructive_equality_resolution,[status(thm)],[f248])).
% 0.16/5.48 fof(f277,plain,(
% 0.16/5.48 ![X0]: (~multiply(sk_c12,multiply(X0,sk_c12))=sk_c11|~inverse(X0)=sk_c12|~sQ17_spl)),
% 0.16/5.48 inference(destructive_equality_resolution,[status(thm)],[f242])).
% 0.16/5.48 fof(f278,plain,(
% 0.16/5.48 ![X0]: (~multiply(X0,inverse(X0))=sk_c12|~multiply(inverse(X0),sk_c11)=sk_c12|~sQ16_spl)),
% 0.16/5.48 inference(destructive_equality_resolution,[status(thm)],[f239])).
% 0.16/5.48 fof(f281,plain,(
% 0.16/5.48 multiply(sk_c12,sk_c7)=identity|~sQ4_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f146,f66])).
% 0.16/5.48 fof(f285,plain,(
% 0.16/5.48 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f66,f67])).
% 0.16/5.48 fof(f286,plain,(
% 0.16/5.48 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f65,f285])).
% 0.16/5.48 fof(f304,plain,(
% 0.16/5.48 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f65,f286])).
% 0.16/5.48 fof(f309,plain,(
% 0.16/5.48 sk_c11=multiply(inverse(sk_c7),sk_c12)|~sQ5_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f150,f286])).
% 0.16/5.48 fof(f310,plain,(
% 0.16/5.48 sk_c9=multiply(inverse(sk_c8),sk_c11)|~sQ6_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f154,f286])).
% 0.16/5.48 fof(f314,plain,(
% 0.16/5.48 sk_c2=multiply(inverse(sk_c1),sk_c12)|~sQ0_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f131,f286])).
% 0.16/5.48 fof(f320,plain,(
% 0.16/5.48 sk_c12=multiply(inverse(sk_c3),sk_c4)|~sQ14_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f213,f286])).
% 0.16/5.48 fof(f323,plain,(
% 0.16/5.48 sk_c11=multiply(sk_c12,sk_c12)|~sQ4_spl|~sQ5_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f146,f309])).
% 0.16/5.48 fof(f324,plain,(
% 0.16/5.48 sk_c9=multiply(sk_c9,sk_c11)|~sQ7_spl|~sQ6_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f158,f310])).
% 0.16/5.48 fof(f325,plain,(
% 0.16/5.48 sk_c2=multiply(sk_c2,sk_c12)|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f174,f314])).
% 0.16/5.48 fof(f326,plain,(
% 0.16/5.48 sk_c12=multiply(sk_c12,sk_c4)|~sQ15_spl|~sQ14_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f226,f320])).
% 0.16/5.48 fof(f327,plain,(
% 0.16/5.48 sk_c12=sk_c11|~sQ13_spl|~sQ15_spl|~sQ14_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f200,f326])).
% 0.16/5.48 fof(f341,plain,(
% 0.16/5.48 inverse(sk_c3)=sk_c11|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f327,f226])).
% 0.16/5.48 fof(f362,plain,(
% 0.16/5.48 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c11)=sk_c11|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ19_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f327,f276])).
% 0.16/5.48 fof(f363,plain,(
% 0.16/5.48 ~multiply(sk_c3,inverse(sk_c3))=sk_c11|~multiply(sk_c11,sk_c11)=sk_c11|~sQ19_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f341,f362])).
% 0.16/5.48 fof(f368,definition,(
% 0.16/5.48 sQ21_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c11)),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f370,plain,(
% 0.16/5.48 ~multiply(sk_c3,inverse(sk_c3))=sk_c11|sQ21_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f368])).
% 0.16/5.48 fof(f371,definition,(
% 0.16/5.48 sQ22_spl <=> (multiply(sk_c11,sk_c11)=sk_c11)),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f373,plain,(
% 0.16/5.48 ~multiply(sk_c11,sk_c11)=sk_c11|sQ22_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f371])).
% 0.16/5.48 fof(f374,plain,(
% 0.16/5.48 ~sQ21_spl|~sQ22_spl|~sQ19_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f363,f368,f371,f247,f199,f212,f225])).
% 0.16/5.48 fof(f386,definition,(
% 0.16/5.48 sQ26_spl <=> (multiply(sk_c8,inverse(sk_c8))=sk_c11)),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f388,plain,(
% 0.16/5.48 ~multiply(sk_c8,inverse(sk_c8))=sk_c11|sQ26_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f386])).
% 0.16/5.48 fof(f401,plain,(
% 0.16/5.48 ~multiply(sk_c8,sk_c9)=sk_c11|~sQ7_spl|sQ26_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f158,f388])).
% 0.16/5.48 fof(f402,plain,(
% 0.16/5.48 ~sk_c11=sk_c11|~sQ6_spl|~sQ7_spl|sQ26_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f154,f401])).
% 0.16/5.48 fof(f403,plain,(
% 0.16/5.48 $false|~sQ6_spl|~sQ7_spl|sQ26_spl),
% 0.16/5.48 inference(trivial_equality_resolution,[status(thm)],[f402])).
% 0.16/5.48 fof(f404,plain,(
% 0.16/5.48 ~sQ6_spl|~sQ7_spl|sQ26_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f403])).
% 0.16/5.48 fof(f408,plain,(
% 0.16/5.48 ~multiply(sk_c3,sk_c11)=sk_c11|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ21_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f341,f370])).
% 0.16/5.48 fof(f409,plain,(
% 0.16/5.48 ![X0]: (~inverse(X0)=sk_c11|~multiply(X0,sk_c11)=sk_c12|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ18_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f327,f245])).
% 0.16/5.48 fof(f410,plain,(
% 0.16/5.48 ![X0]: (~inverse(X0)=sk_c11|~multiply(X0,sk_c11)=sk_c11|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ18_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f327,f409])).
% 0.16/5.48 fof(f434,plain,(
% 0.16/5.48 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c11)=sk_c12|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ16_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f327,f278])).
% 0.16/5.48 fof(f435,plain,(
% 0.16/5.48 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c11)=sk_c11|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ16_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f327,f434])).
% 0.16/5.48 fof(f436,plain,(
% 0.16/5.48 ~multiply(sk_c3,inverse(sk_c3))=sk_c11|~multiply(sk_c11,sk_c11)=sk_c11|~sQ16_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f341,f435])).
% 0.16/5.48 fof(f439,plain,(
% 0.16/5.48 ~sQ21_spl|~sQ22_spl|~sQ16_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f436,f368,f371,f238,f199,f212,f225])).
% 0.16/5.48 fof(f554,definition,(
% 0.16/5.48 sQ34_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f555,plain,(
% 0.16/5.48 inverse(sk_c3)=sk_c11|~sQ34_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f554])).
% 0.16/5.48 fof(f556,plain,(
% 0.16/5.48 ~inverse(sk_c3)=sk_c11|sQ34_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f554])).
% 0.16/5.48 fof(f559,plain,(
% 0.16/5.48 ~sk_c11=sk_c11|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ34_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f341,f556])).
% 0.16/5.48 fof(f560,plain,(
% 0.16/5.48 $false|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ34_spl),
% 0.16/5.48 inference(trivial_equality_resolution,[status(thm)],[f559])).
% 0.16/5.48 fof(f561,plain,(
% 0.16/5.48 ~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ34_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f560])).
% 0.16/5.48 fof(f590,plain,(
% 0.16/5.48 ~multiply(sk_c12,sk_c12)=sk_c11|~inverse(identity)=sk_c12|~sQ17_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f65,f277])).
% 0.16/5.48 fof(f591,plain,(
% 0.16/5.48 ~multiply(sk_c12,sk_c12)=sk_c11|~inverse(inverse(identity))=sk_c12|~sQ17_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f304,f277])).
% 0.16/5.48 fof(f594,definition,(
% 0.16/5.48 sQ35_spl <=> (multiply(sk_c12,sk_c12)=sk_c11)),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f596,plain,(
% 0.16/5.48 ~multiply(sk_c12,sk_c12)=sk_c11|sQ35_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f594])).
% 0.16/5.48 fof(f597,definition,(
% 0.16/5.48 sQ36_spl <=> (inverse(identity)=sk_c12)),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f599,plain,(
% 0.16/5.48 ~inverse(identity)=sk_c12|sQ36_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f597])).
% 0.16/5.48 fof(f600,plain,(
% 0.16/5.48 ~sQ35_spl|~sQ36_spl|~sQ17_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f590,f594,f597,f241])).
% 0.16/5.48 fof(f601,definition,(
% 0.16/5.48 sQ37_spl <=> (inverse(inverse(identity))=sk_c12)),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f603,plain,(
% 0.16/5.48 ~inverse(inverse(identity))=sk_c12|sQ37_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f601])).
% 0.16/5.48 fof(f604,plain,(
% 0.16/5.48 ~sQ35_spl|~sQ37_spl|~sQ17_spl),
% 0.16/5.48 inference(split_clause,[status(thm)],[f591,f594,f601,f241])).
% 0.16/5.48 fof(f619,plain,(
% 0.16/5.48 sk_c12=multiply(inverse(sk_c2),sk_c2)|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f325,f286])).
% 0.16/5.48 fof(f621,plain,(
% 0.16/5.48 sk_c12=identity|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f66,f619])).
% 0.16/5.48 fof(f622,plain,(
% 0.16/5.48 ~inverse(sk_c12)=sk_c12|~sQ11_spl|~sQ0_spl|sQ36_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f621,f599])).
% 0.16/5.48 fof(f624,plain,(
% 0.16/5.48 ![X0]: (multiply(inverse(X0),X0)=sk_c12|~sQ11_spl|~sQ0_spl)),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f621,f66])).
% 0.16/5.48 fof(f627,plain,(
% 0.16/5.48 ![X0]: (multiply(sk_c12,X0)=X0|~sQ11_spl|~sQ0_spl)),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f621,f65])).
% 0.16/5.48 fof(f628,plain,(
% 0.16/5.48 sk_c11=multiply(inverse(sk_c7),sk_c12)|~sQ5_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f150,f286])).
% 0.16/5.48 fof(f630,plain,(
% 0.16/5.48 sk_c11=multiply(sk_c12,sk_c12)|~sQ4_spl|~sQ5_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f146,f628])).
% 0.16/5.48 fof(f633,plain,(
% 0.16/5.48 sk_c11=sk_c12|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f627,f323])).
% 0.16/5.48 fof(f637,plain,(
% 0.16/5.48 ![X0]: (multiply(sk_c11,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl)),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f633,f627])).
% 0.16/5.48 fof(f638,plain,(
% 0.16/5.48 ~inverse(sk_c12)=sk_c11|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl|sQ36_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f633,f622])).
% 0.16/5.48 fof(f640,plain,(
% 0.16/5.48 sk_c11=identity|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f633,f621])).
% 0.16/5.48 fof(f644,plain,(
% 0.16/5.48 ~inverse(sk_c3)=sk_c11|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f633,f227])).
% 0.16/5.48 fof(f645,plain,(
% 0.16/5.48 inverse(sk_c7)=sk_c11|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f633,f146])).
% 0.16/5.48 fof(f646,plain,(
% 0.16/5.48 ~inverse(sk_c11)=sk_c11|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl|sQ36_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f633,f638])).
% 0.16/5.48 fof(f665,plain,(
% 0.16/5.48 ![X0]: (X0=multiply(sk_c11,multiply(sk_c7,X0))|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl)),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f645,f286])).
% 0.16/5.48 fof(f666,plain,(
% 0.16/5.48 ![X0]: (X0=multiply(sk_c7,X0)|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f637,f665])).
% 0.16/5.48 fof(f677,plain,(
% 0.16/5.48 multiply(sk_c11,sk_c7)=identity|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f633,f281])).
% 0.16/5.48 fof(f678,plain,(
% 0.16/5.48 sk_c11=sk_c7|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f679,f640])).
% 0.16/5.48 fof(f679,plain,(
% 0.16/5.48 sk_c7=identity|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f637,f677])).
% 0.16/5.48 fof(f681,plain,(
% 0.16/5.48 inverse(sk_c7)=sk_c7|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f678,f645])).
% 0.16/5.48 fof(f682,plain,(
% 0.16/5.48 ~inverse(sk_c3)=sk_c7|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f678,f644])).
% 0.16/5.48 fof(f683,plain,(
% 0.16/5.48 ~inverse(sk_c11)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl|sQ36_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f678,f646])).
% 0.16/5.48 fof(f686,plain,(
% 0.16/5.48 sk_c7=sk_c12|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f678,f633])).
% 0.16/5.48 fof(f693,plain,(
% 0.16/5.48 ~inverse(sk_c7)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl|sQ36_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f678,f683])).
% 0.16/5.48 fof(f697,plain,(
% 0.16/5.48 ~sk_c7=sk_c7|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl|sQ36_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f681,f693])).
% 0.16/5.48 fof(f698,plain,(
% 0.16/5.48 $false|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl|sQ36_spl),
% 0.16/5.48 inference(trivial_equality_resolution,[status(thm)],[f697])).
% 0.16/5.48 fof(f699,plain,(
% 0.16/5.48 ~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl|sQ36_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f698])).
% 0.16/5.48 fof(f715,plain,(
% 0.16/5.48 multiply(sk_c7,sk_c4)=sk_c11|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ13_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f686,f200])).
% 0.16/5.48 fof(f716,plain,(
% 0.16/5.48 sk_c4=sk_c7|~sQ13_spl|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f717,f678])).
% 0.16/5.48 fof(f717,plain,(
% 0.16/5.48 sk_c4=sk_c11|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ13_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f666,f715])).
% 0.16/5.48 fof(f722,plain,(
% 0.16/5.48 multiply(sk_c3,sk_c7)=sk_c4|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ14_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f686,f213])).
% 0.16/5.48 fof(f726,plain,(
% 0.16/5.48 multiply(sk_c3,sk_c4)=sk_c4|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ14_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f716,f722])).
% 0.16/5.48 fof(f731,plain,(
% 0.16/5.48 ~inverse(sk_c3)=sk_c4|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f716,f682])).
% 0.16/5.48 fof(f732,plain,(
% 0.16/5.48 inverse(sk_c7)=sk_c4|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f716,f681])).
% 0.16/5.48 fof(f734,plain,(
% 0.16/5.48 sk_c4=sk_c12|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f716,f686])).
% 0.16/5.48 fof(f736,plain,(
% 0.16/5.48 ![X0]: (X0=multiply(sk_c4,X0)|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl)),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f716,f666])).
% 0.16/5.48 fof(f738,plain,(
% 0.16/5.48 inverse(sk_c4)=sk_c4|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f716,f732])).
% 0.16/5.48 fof(f771,plain,(
% 0.16/5.48 ![X0]: (~multiply(X0,inverse(X0))=sk_c4|~multiply(inverse(X0),sk_c12)=sk_c11|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ13_spl|~sQ19_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f717,f276])).
% 0.16/5.48 fof(f772,plain,(
% 0.16/5.48 ![X0]: (~multiply(X0,inverse(X0))=sk_c4|~multiply(inverse(X0),sk_c4)=sk_c11|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ13_spl|~sQ19_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f734,f771])).
% 0.16/5.48 fof(f773,plain,(
% 0.16/5.48 ![X0]: (~multiply(X0,inverse(X0))=sk_c4|~multiply(inverse(X0),sk_c4)=sk_c4|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ13_spl|~sQ19_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f717,f772])).
% 0.16/5.48 fof(f793,plain,(
% 0.16/5.48 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ13_spl|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f734,f624])).
% 0.16/5.48 fof(f877,plain,(
% 0.16/5.48 ![X0]: (multiply(sk_c4,X0)=multiply(sk_c3,multiply(sk_c4,X0))|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ14_spl)),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f726,f67])).
% 0.16/5.48 fof(f878,plain,(
% 0.16/5.48 ![X0]: (X0=multiply(sk_c3,multiply(sk_c4,X0))|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ14_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f736,f877])).
% 0.16/5.48 fof(f879,plain,(
% 0.16/5.48 ![X0]: (X0=multiply(sk_c3,X0)|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ14_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f736,f878])).
% 0.16/5.48 fof(f883,plain,(
% 0.16/5.48 ![X0]: (X0=multiply(inverse(sk_c3),X0)|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ14_spl)),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f879,f286])).
% 0.16/5.48 fof(f898,plain,(
% 0.16/5.48 ~multiply(sk_c4,inverse(sk_c4))=sk_c4|~sQ19_spl|~sQ13_spl|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(resolution,[status(thm)],[f773,f793])).
% 0.16/5.48 fof(f901,plain,(
% 0.16/5.48 ~inverse(sk_c4)=sk_c4|~sQ19_spl|~sQ13_spl|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f736,f898])).
% 0.16/5.48 fof(f902,plain,(
% 0.16/5.48 ~sk_c4=sk_c4|~sQ19_spl|~sQ13_spl|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f738,f901])).
% 0.16/5.48 fof(f903,plain,(
% 0.16/5.48 $false|~sQ19_spl|~sQ13_spl|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(trivial_equality_resolution,[status(thm)],[f902])).
% 0.16/5.48 fof(f904,plain,(
% 0.16/5.48 ~sQ19_spl|~sQ13_spl|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f903])).
% 0.16/5.48 fof(f932,plain,(
% 0.16/5.48 sk_c3=sk_c4|~sQ14_spl|~sQ13_spl|~sQ4_spl|~sQ5_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f793,f883])).
% 0.16/5.48 fof(f946,plain,(
% 0.16/5.48 inverse(sk_c4)=sk_c3|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f932,f738])).
% 0.16/5.48 fof(f947,plain,(
% 0.16/5.48 ~inverse(sk_c3)=sk_c3|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f932,f731])).
% 0.16/5.48 fof(f952,plain,(
% 0.16/5.48 inverse(sk_c3)=sk_c3|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f932,f946])).
% 0.16/5.48 fof(f961,definition,(
% 0.16/5.48 sQ46_spl <=> (inverse(sk_c3)=sk_c3)),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f963,plain,(
% 0.16/5.48 ~inverse(sk_c3)=sk_c3|sQ46_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f961])).
% 0.16/5.48 fof(f964,definition,(
% 0.16/5.48 sQ47_spl <=> (sk_c3=sk_c3)),
% 0.16/5.48 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.16/5.48 fof(f966,plain,(
% 0.16/5.48 ~sk_c3=sk_c3|sQ47_spl),
% 0.16/5.48 inference(component_clause,[status(thm)],[f964])).
% 0.16/5.48 fof(f972,plain,(
% 0.16/5.48 $false|sQ47_spl),
% 0.16/5.48 inference(trivial_equality_resolution,[status(thm)],[f966])).
% 0.16/5.48 fof(f973,plain,(
% 0.16/5.48 sQ47_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f972])).
% 0.16/5.48 fof(f986,plain,(
% 0.16/5.48 ~sk_c3=sk_c3|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f952,f947])).
% 0.16/5.48 fof(f987,plain,(
% 0.16/5.48 $false|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.16/5.48 inference(trivial_equality_resolution,[status(thm)],[f986])).
% 0.16/5.48 fof(f988,plain,(
% 0.16/5.48 ~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ5_spl|sQ15_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f987])).
% 0.16/5.48 fof(f991,plain,(
% 0.16/5.48 sk_c11=identity|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f327,f621])).
% 0.16/5.48 fof(f995,plain,(
% 0.16/5.48 ![X0]: (multiply(sk_c11,X0)=X0|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f327,f627])).
% 0.16/5.48 fof(f999,plain,(
% 0.16/5.48 ~sk_c11=sk_c3|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ46_spl),
% 0.16/5.48 inference(backward_demodulation,[status(thm)],[f341,f963])).
% 0.16/5.48 fof(f1000,plain,(
% 0.16/5.48 ![X0]: (X0=multiply(sk_c11,multiply(sk_c3,X0))|~sQ13_spl|~sQ14_spl|~sQ15_spl)),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f341,f286])).
% 0.16/5.48 fof(f1001,plain,(
% 0.16/5.48 ![X0]: (X0=multiply(sk_c3,X0)|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f995,f1000])).
% 0.16/5.48 fof(f1002,plain,(
% 0.16/5.48 ![X0]: (multiply(inverse(X0),X0)=sk_c11|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl)),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f327,f624])).
% 0.16/5.48 fof(f1003,plain,(
% 0.16/5.48 multiply(sk_c11,sk_c3)=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f341,f1002])).
% 0.16/5.48 fof(f1008,plain,(
% 0.16/5.48 sk_c3=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f995,f1003])).
% 0.16/5.48 fof(f1009,plain,(
% 0.16/5.48 $false|sQ46_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.48 inference(forward_subsumption_resolution,[status(thm)],[f1008,f999])).
% 0.16/5.48 fof(f1010,plain,(
% 0.16/5.48 sQ46_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f1009])).
% 0.16/5.48 fof(f1013,plain,(
% 0.16/5.48 multiply(sk_c3,sk_c11)=sk_c4|~sQ13_spl|~sQ15_spl|~sQ14_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f327,f213])).
% 0.16/5.48 fof(f1014,plain,(
% 0.16/5.48 sk_c11=multiply(inverse(sk_c3),sk_c4)|~sQ13_spl|~sQ15_spl|~sQ14_spl),
% 0.16/5.48 inference(paramodulation,[status(thm)],[f1013,f286])).
% 0.16/5.48 fof(f1016,plain,(
% 0.16/5.48 sk_c11=multiply(sk_c11,sk_c4)|~sQ13_spl|~sQ15_spl|~sQ14_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f341,f1014])).
% 0.16/5.48 fof(f1017,plain,(
% 0.16/5.48 sk_c11=sk_c4|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f995,f1016])).
% 0.16/5.48 fof(f1030,plain,(
% 0.16/5.48 sk_c3=sk_c4|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f1008,f1017])).
% 0.16/5.48 fof(f1034,plain,(
% 0.16/5.48 inverse(sk_c3)=sk_c3|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|~sQ34_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f1008,f555])).
% 0.16/5.48 fof(f1078,plain,(
% 0.16/5.48 ~sk_c11=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ21_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f1001,f408])).
% 0.16/5.48 fof(f1079,plain,(
% 0.16/5.48 ~sk_c3=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ21_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f1008,f1078])).
% 0.16/5.48 fof(f1080,plain,(
% 0.16/5.48 ~sk_c3=sk_c3|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ21_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f1008,f1079])).
% 0.16/5.48 fof(f1081,plain,(
% 0.16/5.48 $false|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ21_spl),
% 0.16/5.48 inference(trivial_equality_resolution,[status(thm)],[f1080])).
% 0.16/5.48 fof(f1082,plain,(
% 0.16/5.48 ~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ21_spl),
% 0.16/5.48 inference(contradiction_clause,[status(thm)],[f1081])).
% 0.16/5.48 fof(f1106,plain,(
% 0.16/5.48 sk_c3=identity|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f1008,f991])).
% 0.16/5.48 fof(f1107,plain,(
% 0.16/5.48 sk_c12=sk_c3|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f1008,f327])).
% 0.16/5.48 fof(f1152,plain,(
% 0.16/5.48 ~inverse(inverse(sk_c3))=sk_c12|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl|sQ37_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f1106,f603])).
% 0.16/5.48 fof(f1153,plain,(
% 0.16/5.48 ~inverse(sk_c3)=sk_c12|~sQ34_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl|sQ37_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f1034,f1152])).
% 0.16/5.48 fof(f1154,plain,(
% 0.16/5.48 ~sk_c3=sk_c12|~sQ34_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl|sQ37_spl),
% 0.16/5.48 inference(forward_demodulation,[status(thm)],[f1034,f1153])).
% 0.16/5.49 fof(f1155,plain,(
% 0.16/5.49 ~sk_c3=sk_c3|~sQ34_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl|sQ37_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1107,f1154])).
% 0.16/5.49 fof(f1156,plain,(
% 0.16/5.49 $false|~sQ34_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl|sQ37_spl),
% 0.16/5.49 inference(trivial_equality_resolution,[status(thm)],[f1155])).
% 0.16/5.49 fof(f1157,plain,(
% 0.16/5.49 ~sQ34_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl|sQ37_spl),
% 0.16/5.49 inference(contradiction_clause,[status(thm)],[f1156])).
% 0.16/5.49 fof(f1185,plain,(
% 0.16/5.49 ~multiply(sk_c3,sk_c11)=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ22_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1008,f373])).
% 0.16/5.49 fof(f1186,plain,(
% 0.16/5.49 ~sk_c11=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ22_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1001,f1185])).
% 0.16/5.49 fof(f1187,plain,(
% 0.16/5.49 ~sk_c3=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ22_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1008,f1186])).
% 0.16/5.49 fof(f1188,plain,(
% 0.16/5.49 ~sk_c3=sk_c3|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ22_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1008,f1187])).
% 0.16/5.49 fof(f1189,plain,(
% 0.16/5.49 $false|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ22_spl),
% 0.16/5.49 inference(trivial_equality_resolution,[status(thm)],[f1188])).
% 0.16/5.49 fof(f1190,plain,(
% 0.16/5.49 ~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl|sQ22_spl),
% 0.16/5.49 inference(contradiction_clause,[status(thm)],[f1189])).
% 0.16/5.49 fof(f1251,plain,(
% 0.16/5.49 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c11)=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ18_spl)),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1008,f410])).
% 0.16/5.49 fof(f1252,plain,(
% 0.16/5.49 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ18_spl)),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1008,f1251])).
% 0.16/5.49 fof(f1253,plain,(
% 0.16/5.49 ![X0]: (~inverse(X0)=sk_c3|~multiply(X0,sk_c3)=sk_c3|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|~sQ18_spl)),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1008,f1252])).
% 0.16/5.49 fof(f1255,plain,(
% 0.16/5.49 ~inverse(sk_c3)=sk_c3|~sQ18_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.49 inference(resolution,[status(thm)],[f1253,f1001])).
% 0.16/5.49 fof(f1259,plain,(
% 0.16/5.49 ~sQ46_spl|~sQ18_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl|~sQ15_spl),
% 0.16/5.49 inference(split_clause,[status(thm)],[f1255,f961,f244,f173,f130,f199,f212,f225])).
% 0.16/5.49 fof(f1290,plain,(
% 0.16/5.49 ~multiply(sk_c3,sk_c12)=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|sQ35_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1107,f596])).
% 0.16/5.49 fof(f1291,plain,(
% 0.16/5.49 ~sk_c12=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|sQ35_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1001,f1290])).
% 0.16/5.49 fof(f1292,plain,(
% 0.16/5.49 ~sk_c3=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|sQ35_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1107,f1291])).
% 0.16/5.49 fof(f1293,plain,(
% 0.16/5.49 ~sk_c3=sk_c3|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|sQ35_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1008,f1292])).
% 0.16/5.49 fof(f1294,plain,(
% 0.16/5.49 $false|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|sQ35_spl),
% 0.16/5.49 inference(trivial_equality_resolution,[status(thm)],[f1293])).
% 0.16/5.49 fof(f1295,plain,(
% 0.16/5.49 ~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|sQ35_spl),
% 0.16/5.49 inference(contradiction_clause,[status(thm)],[f1294])).
% 0.16/5.49 fof(f1309,definition,(
% 0.16/5.49 sQ51_spl <=> (sk_c4=sk_c11)),
% 0.16/5.49 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.16/5.49 fof(f1311,plain,(
% 0.16/5.49 ~sk_c4=sk_c11|sQ51_spl),
% 0.16/5.49 inference(component_clause,[status(thm)],[f1309])).
% 0.16/5.49 fof(f1312,plain,(
% 0.16/5.49 ~sQ34_spl|~sQ51_spl|~sQ20_spl|~sQ14_spl),
% 0.16/5.49 inference(split_clause,[status(thm)],[f272,f554,f1309,f250,f212])).
% 0.16/5.49 fof(f1314,plain,(
% 0.16/5.49 ~sk_c3=sk_c11|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|sQ51_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1030,f1311])).
% 0.16/5.49 fof(f1315,plain,(
% 0.16/5.49 ~sk_c3=sk_c3|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|sQ51_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1008,f1314])).
% 0.16/5.49 fof(f1316,plain,(
% 0.16/5.49 $false|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|sQ51_spl),
% 0.16/5.49 inference(trivial_equality_resolution,[status(thm)],[f1315])).
% 0.16/5.49 fof(f1317,plain,(
% 0.16/5.49 ~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ15_spl|~sQ14_spl|sQ51_spl),
% 0.16/5.49 inference(contradiction_clause,[status(thm)],[f1316])).
% 0.16/5.49 fof(f1707,plain,(
% 0.16/5.49 ~multiply(sk_c8,inverse(sk_c8))=sk_c11|~multiply(sk_c9,sk_c12)=sk_c11|~sQ19_spl|~sQ7_spl),
% 0.16/5.49 inference(paramodulation,[status(thm)],[f158,f276])).
% 0.16/5.49 fof(f1716,plain,(
% 0.16/5.49 ~sQ26_spl|~sQ8_spl|~sQ19_spl|~sQ7_spl),
% 0.16/5.49 inference(split_clause,[status(thm)],[f1707,f386,f161,f247,f157])).
% 0.16/5.49 fof(f1756,plain,(
% 0.16/5.49 sk_c12=multiply(inverse(sk_c10),sk_c11)|~sQ10_spl),
% 0.16/5.49 inference(paramodulation,[status(thm)],[f170,f286])).
% 0.16/5.49 fof(f1758,plain,(
% 0.16/5.49 sk_c12=multiply(sk_c11,sk_c11)|~sQ9_spl|~sQ10_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f166,f1756])).
% 0.16/5.49 fof(f1776,plain,(
% 0.16/5.49 ~inverse(sk_c7)=sk_c12|~sQ18_spl|~sQ5_spl),
% 0.16/5.49 inference(resolution,[status(thm)],[f245,f150])).
% 0.16/5.49 fof(f1780,plain,(
% 0.16/5.49 ~inverse(sk_c2)=sk_c12|~sk_c12=sk_c12|~sQ18_spl|~sQ12_spl),
% 0.16/5.49 inference(paramodulation,[status(thm)],[f187,f245])).
% 0.16/5.49 fof(f1787,plain,(
% 0.16/5.49 ~sQ4_spl|~sQ18_spl|~sQ5_spl),
% 0.16/5.49 inference(split_clause,[status(thm)],[f1776,f145,f244,f149])).
% 0.16/5.49 fof(f1788,definition,(
% 0.16/5.49 sQ55_spl <=> (sk_c12=sk_c12)),
% 0.16/5.49 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.16/5.49 fof(f1790,plain,(
% 0.16/5.49 ~sk_c12=sk_c12|sQ55_spl),
% 0.16/5.49 inference(component_clause,[status(thm)],[f1788])).
% 0.16/5.49 fof(f1792,definition,(
% 0.16/5.49 sQ56_spl <=> (inverse(sk_c2)=sk_c12)),
% 0.16/5.49 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.16/5.49 fof(f1795,plain,(
% 0.16/5.49 ~sQ56_spl|~sQ55_spl|~sQ18_spl|~sQ12_spl),
% 0.16/5.49 inference(split_clause,[status(thm)],[f1780,f1792,f1788,f244,f186])).
% 0.16/5.49 fof(f1807,definition,(
% 0.16/5.49 sQ60_spl <=> (sk_c11=sk_c12)),
% 0.16/5.49 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.16/5.49 fof(f1809,plain,(
% 0.16/5.49 ~sk_c11=sk_c12|sQ60_spl),
% 0.16/5.49 inference(component_clause,[status(thm)],[f1807])).
% 0.16/5.49 fof(f1819,plain,(
% 0.16/5.49 $false|sQ55_spl),
% 0.16/5.49 inference(trivial_equality_resolution,[status(thm)],[f1790])).
% 0.16/5.49 fof(f1820,plain,(
% 0.16/5.49 sQ55_spl),
% 0.16/5.49 inference(contradiction_clause,[status(thm)],[f1819])).
% 0.16/5.49 fof(f1826,plain,(
% 0.16/5.49 ~multiply(sk_c5,inverse(sk_c5))=sk_c12|~multiply(sk_c6,sk_c11)=sk_c12|~sQ16_spl|~sQ2_spl),
% 0.16/5.49 inference(paramodulation,[status(thm)],[f138,f278])).
% 0.16/5.49 fof(f1856,definition,(
% 0.16/5.49 sQ71_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c12)),
% 0.16/5.49 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.16/5.49 fof(f1858,plain,(
% 0.16/5.49 ~multiply(sk_c5,inverse(sk_c5))=sk_c12|sQ71_spl),
% 0.16/5.49 inference(component_clause,[status(thm)],[f1856])).
% 0.16/5.49 fof(f1859,plain,(
% 0.16/5.49 ~sQ71_spl|~sQ3_spl|~sQ16_spl|~sQ2_spl),
% 0.16/5.49 inference(split_clause,[status(thm)],[f1826,f1856,f141,f238,f137])).
% 0.16/5.49 fof(f1860,plain,(
% 0.16/5.49 ~multiply(sk_c5,sk_c6)=sk_c12|~sQ2_spl|sQ71_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f138,f1858])).
% 0.16/5.49 fof(f1861,plain,(
% 0.16/5.49 ~sk_c12=sk_c12|~sQ1_spl|~sQ2_spl|sQ71_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f134,f1860])).
% 0.16/5.49 fof(f1862,plain,(
% 0.16/5.49 $false|~sQ1_spl|~sQ2_spl|sQ71_spl),
% 0.16/5.49 inference(trivial_equality_resolution,[status(thm)],[f1861])).
% 0.16/5.49 fof(f1863,plain,(
% 0.16/5.49 ~sQ1_spl|~sQ2_spl|sQ71_spl),
% 0.16/5.49 inference(contradiction_clause,[status(thm)],[f1862])).
% 0.16/5.49 fof(f1870,plain,(
% 0.16/5.49 ~sk_c11=sk_c11|~sQ4_spl|~sQ5_spl|sQ35_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f630,f596])).
% 0.16/5.49 fof(f1871,plain,(
% 0.16/5.49 $false|~sQ4_spl|~sQ5_spl|sQ35_spl),
% 0.16/5.49 inference(trivial_equality_resolution,[status(thm)],[f1870])).
% 0.16/5.49 fof(f1872,plain,(
% 0.16/5.49 ~sQ4_spl|~sQ5_spl|sQ35_spl),
% 0.16/5.49 inference(contradiction_clause,[status(thm)],[f1871])).
% 0.16/5.49 fof(f1874,plain,(
% 0.16/5.49 ~multiply(sk_c12,sk_c11)=sk_c11|~inverse(sk_c10)=sk_c12|~sQ17_spl|~sQ10_spl),
% 0.16/5.49 inference(paramodulation,[status(thm)],[f170,f277])).
% 0.16/5.49 fof(f1882,definition,(
% 0.16/5.49 sQ72_spl <=> (multiply(sk_c12,sk_c11)=sk_c11)),
% 0.16/5.49 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.16/5.49 fof(f1884,plain,(
% 0.16/5.49 ~multiply(sk_c12,sk_c11)=sk_c11|sQ72_spl),
% 0.16/5.49 inference(component_clause,[status(thm)],[f1882])).
% 0.16/5.49 fof(f1885,definition,(
% 0.16/5.49 sQ73_spl <=> (inverse(sk_c10)=sk_c12)),
% 0.16/5.49 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 0.16/5.49 fof(f1887,plain,(
% 0.16/5.49 ~inverse(sk_c10)=sk_c12|sQ73_spl),
% 0.16/5.49 inference(component_clause,[status(thm)],[f1885])).
% 0.16/5.49 fof(f1888,plain,(
% 0.16/5.49 ~sQ72_spl|~sQ73_spl|~sQ17_spl|~sQ10_spl),
% 0.16/5.49 inference(split_clause,[status(thm)],[f1874,f1882,f1885,f241,f169])).
% 0.16/5.49 fof(f1901,plain,(
% 0.16/5.49 ~sk_c11=sk_c12|~sQ9_spl|sQ73_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f166,f1887])).
% 0.16/5.49 fof(f1905,plain,(
% 0.16/5.49 multiply(sk_c11,sk_c11)=multiply(sk_c8,sk_c9)|~sQ7_spl|~sQ6_spl),
% 0.16/5.49 inference(paramodulation,[status(thm)],[f324,f258])).
% 0.16/5.49 fof(f1908,plain,(
% 0.16/5.49 multiply(sk_c11,sk_c11)=sk_c11|~sQ7_spl|~sQ6_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f154,f1905])).
% 0.16/5.49 fof(f1921,plain,(
% 0.16/5.49 sk_c12=sk_c11|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl),
% 0.16/5.49 inference(backward_demodulation,[status(thm)],[f1908,f1758])).
% 0.16/5.49 fof(f1924,plain,(
% 0.16/5.49 $false|sQ60_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl),
% 0.16/5.49 inference(forward_subsumption_resolution,[status(thm)],[f1921,f1809])).
% 0.16/5.49 fof(f1925,plain,(
% 0.16/5.49 sQ60_spl|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl),
% 0.16/5.49 inference(contradiction_clause,[status(thm)],[f1924])).
% 0.16/5.49 fof(f1927,plain,(
% 0.16/5.49 ~sQ60_spl|~sQ9_spl|sQ73_spl),
% 0.16/5.49 inference(split_clause,[status(thm)],[f1901,f1807,f165,f1885])).
% 0.16/5.49 fof(f1946,plain,(
% 0.16/5.49 ~multiply(sk_c11,sk_c11)=sk_c11|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl|sQ72_spl),
% 0.16/5.49 inference(backward_demodulation,[status(thm)],[f1921,f1884])).
% 0.16/5.49 fof(f1969,plain,(
% 0.16/5.49 ~sk_c11=sk_c11|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl|sQ72_spl),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f1908,f1946])).
% 0.16/5.49 fof(f1970,plain,(
% 0.16/5.49 $false|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl|sQ72_spl),
% 0.16/5.49 inference(trivial_equality_resolution,[status(thm)],[f1969])).
% 0.16/5.49 fof(f1971,plain,(
% 0.16/5.49 ~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ10_spl|sQ72_spl),
% 0.16/5.49 inference(contradiction_clause,[status(thm)],[f1970])).
% 0.16/5.49 fof(f1972,plain,(
% 0.16/5.49 $false),
% 0.16/5.49 inference(sat_refutation,[status(thm)],[f136,f140,f144,f148,f152,f156,f160,f164,f168,f172,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f215,f216,f217,f218,f219,f223,f224,f231,f232,f253,f275,f374,f404,f439,f561,f600,f604,f699,f904,f973,f988,f1010,f1082,f1157,f1190,f1259,f1295,f1312,f1317,f1716,f1787,f1795,f1820,f1859,f1863,f1872,f1888,f1925,f1927,f1971])).
% 0.16/5.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/5.51 % Elapsed time: 0.105612 seconds
% 0.17/5.51 % CPU time: 0.429404 seconds
% 0.17/5.51 % Total memory used: 66.389 MB
% 0.17/5.51 % Net memory used: 66.218 MB
%------------------------------------------------------------------------------