%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP273-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 12:36:22 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP273-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.57 % Computer : n010.cluster.edu
% 0.12/0.57 % Model : x86_64 x86_64
% 0.12/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.57 % Memory : 8046.5625MB
% 0.12/0.57 % OS : Linux 6.8.0-71-generic
% 0.12/0.57 % CPULimit : 300
% 0.12/0.57 % WCLimit : 300
% 0.12/0.57 % DateTime : Sun Sep 20 20:08:25 UTC 2026
% 0.12/0.58 % CPUTime :
% 0.12/0.58 % Drodi V4.1.1
% 0.16/0.67 % Refutation found
% 0.16/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.67 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.67 fof(f1,axiom,(
% 0.16/0.67 (![X]: (multiply(identity,X) = X ))),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f2,axiom,(
% 0.16/0.67 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f3,axiom,(
% 0.16/0.67 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f4,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f5,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f6,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f7,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f8,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f9,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f10,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f11,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f12,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f14,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c1) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f15,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c1) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f16,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c1) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f17,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c1) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f18,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c1) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f19,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c1) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f20,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c1) = sk_c11| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f21,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c1) = sk_c11| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f22,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c1) = sk_c11| inverse(sk_c6) = sk_c8 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f24,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f25,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f26,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f27,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f28,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f29,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f30,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f31,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f32,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f34,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c2,sk_c9) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f35,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c2,sk_c9) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f36,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c2,sk_c9) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f37,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c2,sk_c9) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f38,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c2,sk_c9) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f39,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c2,sk_c9) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f40,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c2,sk_c9) = sk_c11| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f41,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c2,sk_c9) = sk_c11| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f42,negated_conjecture,(
% 0.16/0.67 ( multiply(sk_c2,sk_c9) = sk_c11| inverse(sk_c6) = sk_c8 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f44,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c2) = sk_c9| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f45,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c2) = sk_c9| inverse(sk_c3) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f46,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f47,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f48,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f49,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f50,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c2) = sk_c9| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f51,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c2) = sk_c9| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f52,negated_conjecture,(
% 0.16/0.67 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f54,negated_conjecture,(
% 0.16/0.67 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( multiply(X3,sk_c11) != sk_c10| inverse(X3) != sk_c11| multiply(sk_c11,sk_c9) != sk_c10| multiply(X4,sk_c9) != sk_c11| inverse(X4) != sk_c9| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| multiply(X5,X6) != sk_c11| inverse(X5) != X6| multiply(X6,sk_c10) != sk_c11| inverse(X7) != X8| inverse(X8) != X6| multiply(X7,X6) != X8 ) ))),
% 0.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.67 fof(f55,plain,(
% 0.16/0.67 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/0.67 fof(f56,plain,(
% 0.16/0.67 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/0.67 fof(f57,plain,(
% 0.16/0.67 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/0.67 fof(f58,plain,(
% 0.16/0.67 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.67 fof(f59,plain,(
% 0.16/0.67 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/0.67 fof(f60,plain,(
% 0.16/0.67 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.67 fof(f61,plain,(
% 0.16/0.67 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/0.67 fof(f62,plain,(
% 0.16/0.67 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/0.67 fof(f63,plain,(
% 0.16/0.67 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.67 fof(f64,plain,(
% 0.16/0.67 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f10])).
% 0.16/0.67 fof(f65,plain,(
% 0.16/0.67 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f11])).
% 0.16/0.67 fof(f66,plain,(
% 0.16/0.67 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f12])).
% 0.16/0.67 fof(f68,plain,(
% 0.16/0.67 inverse(sk_c1)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f14])).
% 0.16/0.67 fof(f69,plain,(
% 0.16/0.67 inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/0.67 fof(f70,plain,(
% 0.16/0.67 inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f16])).
% 0.16/0.67 fof(f71,plain,(
% 0.16/0.67 inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f17])).
% 0.16/0.67 fof(f72,plain,(
% 0.16/0.67 inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.67 fof(f73,plain,(
% 0.16/0.67 inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f19])).
% 0.16/0.67 fof(f74,plain,(
% 0.16/0.67 inverse(sk_c1)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f20])).
% 0.16/0.67 fof(f75,plain,(
% 0.16/0.67 inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c6),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f21])).
% 0.16/0.67 fof(f76,plain,(
% 0.16/0.67 inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c8),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f22])).
% 0.16/0.67 fof(f78,plain,(
% 0.16/0.67 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f24])).
% 0.16/0.67 fof(f79,plain,(
% 0.16/0.67 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f25])).
% 0.16/0.67 fof(f80,plain,(
% 0.16/0.67 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f26])).
% 0.16/0.67 fof(f81,plain,(
% 0.16/0.67 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f27])).
% 0.16/0.67 fof(f82,plain,(
% 0.16/0.67 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f28])).
% 0.16/0.67 fof(f83,plain,(
% 0.16/0.67 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f29])).
% 0.16/0.67 fof(f84,plain,(
% 0.16/0.67 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f30])).
% 0.16/0.67 fof(f85,plain,(
% 0.16/0.67 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f31])).
% 0.16/0.67 fof(f86,plain,(
% 0.16/0.67 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f32])).
% 0.16/0.67 fof(f88,plain,(
% 0.16/0.67 multiply(sk_c2,sk_c9)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f34])).
% 0.16/0.67 fof(f89,plain,(
% 0.16/0.67 multiply(sk_c2,sk_c9)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f35])).
% 0.16/0.67 fof(f90,plain,(
% 0.16/0.67 multiply(sk_c2,sk_c9)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f36])).
% 0.16/0.67 fof(f91,plain,(
% 0.16/0.67 multiply(sk_c2,sk_c9)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f37])).
% 0.16/0.67 fof(f92,plain,(
% 0.16/0.67 multiply(sk_c2,sk_c9)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f38])).
% 0.16/0.67 fof(f93,plain,(
% 0.16/0.67 multiply(sk_c2,sk_c9)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f39])).
% 0.16/0.67 fof(f94,plain,(
% 0.16/0.67 multiply(sk_c2,sk_c9)=sk_c11|multiply(sk_c8,sk_c10)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f40])).
% 0.16/0.67 fof(f95,plain,(
% 0.16/0.67 multiply(sk_c2,sk_c9)=sk_c11|inverse(sk_c7)=sk_c6),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f41])).
% 0.16/0.67 fof(f96,plain,(
% 0.16/0.67 multiply(sk_c2,sk_c9)=sk_c11|inverse(sk_c6)=sk_c8),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f42])).
% 0.16/0.67 fof(f98,plain,(
% 0.16/0.67 inverse(sk_c2)=sk_c9|multiply(sk_c3,sk_c11)=sk_c10),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f44])).
% 0.16/0.67 fof(f99,plain,(
% 0.16/0.67 inverse(sk_c2)=sk_c9|inverse(sk_c3)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.67 fof(f100,plain,(
% 0.16/0.67 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f46])).
% 0.16/0.67 fof(f101,plain,(
% 0.16/0.67 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f47])).
% 0.16/0.67 fof(f102,plain,(
% 0.16/0.67 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/0.67 fof(f103,plain,(
% 0.16/0.67 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f49])).
% 0.16/0.67 fof(f104,plain,(
% 0.16/0.67 inverse(sk_c2)=sk_c9|multiply(sk_c8,sk_c10)=sk_c11),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f50])).
% 0.16/0.67 fof(f105,plain,(
% 0.16/0.67 inverse(sk_c2)=sk_c9|inverse(sk_c7)=sk_c6),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f51])).
% 0.16/0.67 fof(f106,plain,(
% 0.16/0.67 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f52])).
% 0.16/0.67 fof(f108,plain,(
% 0.16/0.67 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: (((![X4]: ((((![X3]: (~multiply(X3,sk_c11)=sk_c10|~inverse(X3)=sk_c11))|~multiply(sk_c11,sk_c9)=sk_c10)|~multiply(X4,sk_c9)=sk_c11)|~inverse(X4)=sk_c9))|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~multiply(X5,X6)=sk_c11)|~inverse(X5)=X6))|~multiply(X6,sk_c10)=sk_c11)|~inverse(X7)=X8)|~inverse(X8)=X6)|~multiply(X7,X6)=X8)),
% 0.16/0.67 inference(miniscoping,[status(thm)],[f54])).
% 0.16/0.67 fof(f109,plain,(
% 0.16/0.67 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~multiply(sk_c11,sk_c9)=sk_c10|~multiply(X1,sk_c9)=sk_c11|~inverse(X1)=sk_c9|~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7)),
% 0.16/0.67 inference(cnf_transformation,[status(thm)],[f108])).
% 0.16/0.67 fof(f110,definition,(
% 0.16/0.67 sQ0_spl <=> (multiply(sk_c1,sk_c11)=sk_c10)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f111,plain,(
% 0.16/0.67 multiply(sk_c1,sk_c11)=sk_c10|~sQ0_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f110])).
% 0.16/0.67 fof(f113,definition,(
% 0.16/0.67 sQ1_spl <=> (multiply(sk_c3,sk_c11)=sk_c10)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f114,plain,(
% 0.16/0.67 multiply(sk_c3,sk_c11)=sk_c10|~sQ1_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f113])).
% 0.16/0.67 fof(f116,plain,(
% 0.16/0.67 sQ0_spl|sQ1_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f58,f110,f113])).
% 0.16/0.67 fof(f117,definition,(
% 0.16/0.67 sQ2_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f118,plain,(
% 0.16/0.67 inverse(sk_c3)=sk_c11|~sQ2_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f117])).
% 0.16/0.67 fof(f120,plain,(
% 0.16/0.67 sQ0_spl|sQ2_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f59,f110,f117])).
% 0.16/0.67 fof(f121,definition,(
% 0.16/0.67 sQ3_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f122,plain,(
% 0.16/0.67 multiply(sk_c4,sk_c10)=sk_c9|~sQ3_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f121])).
% 0.16/0.67 fof(f124,plain,(
% 0.16/0.67 sQ0_spl|sQ3_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f60,f110,f121])).
% 0.16/0.67 fof(f125,definition,(
% 0.16/0.67 sQ4_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f126,plain,(
% 0.16/0.67 inverse(sk_c4)=sk_c10|~sQ4_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f125])).
% 0.16/0.67 fof(f128,plain,(
% 0.16/0.67 sQ0_spl|sQ4_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f61,f110,f125])).
% 0.16/0.67 fof(f129,definition,(
% 0.16/0.67 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c11)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f130,plain,(
% 0.16/0.67 multiply(sk_c5,sk_c8)=sk_c11|~sQ5_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f129])).
% 0.16/0.67 fof(f132,plain,(
% 0.16/0.67 sQ0_spl|sQ5_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f62,f110,f129])).
% 0.16/0.67 fof(f133,definition,(
% 0.16/0.67 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f134,plain,(
% 0.16/0.67 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f133])).
% 0.16/0.67 fof(f136,plain,(
% 0.16/0.67 sQ0_spl|sQ6_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f63,f110,f133])).
% 0.16/0.67 fof(f137,definition,(
% 0.16/0.67 sQ7_spl <=> (multiply(sk_c8,sk_c10)=sk_c11)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f138,plain,(
% 0.16/0.67 multiply(sk_c8,sk_c10)=sk_c11|~sQ7_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f137])).
% 0.16/0.67 fof(f140,plain,(
% 0.16/0.67 sQ0_spl|sQ7_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f64,f110,f137])).
% 0.16/0.67 fof(f141,definition,(
% 0.16/0.67 sQ8_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f142,plain,(
% 0.16/0.67 inverse(sk_c7)=sk_c6|~sQ8_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f141])).
% 0.16/0.67 fof(f144,plain,(
% 0.16/0.67 sQ0_spl|sQ8_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f65,f110,f141])).
% 0.16/0.67 fof(f145,definition,(
% 0.16/0.67 sQ9_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f146,plain,(
% 0.16/0.67 inverse(sk_c6)=sk_c8|~sQ9_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f145])).
% 0.16/0.67 fof(f148,plain,(
% 0.16/0.67 sQ0_spl|sQ9_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f66,f110,f145])).
% 0.16/0.67 fof(f153,definition,(
% 0.16/0.67 sQ11_spl <=> (inverse(sk_c1)=sk_c11)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f154,plain,(
% 0.16/0.67 inverse(sk_c1)=sk_c11|~sQ11_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f153])).
% 0.16/0.67 fof(f156,plain,(
% 0.16/0.67 sQ11_spl|sQ1_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f68,f153,f113])).
% 0.16/0.67 fof(f157,plain,(
% 0.16/0.67 sQ11_spl|sQ2_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f69,f153,f117])).
% 0.16/0.67 fof(f158,plain,(
% 0.16/0.67 sQ11_spl|sQ3_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f70,f153,f121])).
% 0.16/0.67 fof(f159,plain,(
% 0.16/0.67 sQ11_spl|sQ4_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f71,f153,f125])).
% 0.16/0.67 fof(f160,plain,(
% 0.16/0.67 sQ11_spl|sQ5_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f72,f153,f129])).
% 0.16/0.67 fof(f161,plain,(
% 0.16/0.67 sQ11_spl|sQ6_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f73,f153,f133])).
% 0.16/0.67 fof(f162,plain,(
% 0.16/0.67 sQ11_spl|sQ7_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f74,f153,f137])).
% 0.16/0.67 fof(f163,plain,(
% 0.16/0.67 sQ11_spl|sQ8_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f75,f153,f141])).
% 0.16/0.67 fof(f164,plain,(
% 0.16/0.67 sQ11_spl|sQ9_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f76,f153,f145])).
% 0.16/0.67 fof(f166,definition,(
% 0.16/0.67 sQ12_spl <=> (multiply(sk_c11,sk_c9)=sk_c10)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f167,plain,(
% 0.16/0.67 multiply(sk_c11,sk_c9)=sk_c10|~sQ12_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f166])).
% 0.16/0.67 fof(f168,plain,(
% 0.16/0.67 ~multiply(sk_c11,sk_c9)=sk_c10|sQ12_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f166])).
% 0.16/0.67 fof(f169,plain,(
% 0.16/0.67 sQ12_spl|sQ1_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f78,f166,f113])).
% 0.16/0.67 fof(f170,plain,(
% 0.16/0.67 sQ12_spl|sQ2_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f79,f166,f117])).
% 0.16/0.67 fof(f171,plain,(
% 0.16/0.67 sQ12_spl|sQ3_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f80,f166,f121])).
% 0.16/0.67 fof(f172,plain,(
% 0.16/0.67 sQ12_spl|sQ4_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f81,f166,f125])).
% 0.16/0.67 fof(f173,plain,(
% 0.16/0.67 sQ12_spl|sQ5_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f82,f166,f129])).
% 0.16/0.67 fof(f174,plain,(
% 0.16/0.67 sQ12_spl|sQ6_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f83,f166,f133])).
% 0.16/0.67 fof(f175,plain,(
% 0.16/0.67 sQ12_spl|sQ7_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f84,f166,f137])).
% 0.16/0.67 fof(f176,plain,(
% 0.16/0.67 sQ12_spl|sQ8_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f85,f166,f141])).
% 0.16/0.67 fof(f177,plain,(
% 0.16/0.67 sQ12_spl|sQ9_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f86,f166,f145])).
% 0.16/0.67 fof(f179,definition,(
% 0.16/0.67 sQ13_spl <=> (multiply(sk_c2,sk_c9)=sk_c11)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f180,plain,(
% 0.16/0.67 multiply(sk_c2,sk_c9)=sk_c11|~sQ13_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f179])).
% 0.16/0.67 fof(f181,plain,(
% 0.16/0.67 ~multiply(sk_c2,sk_c9)=sk_c11|sQ13_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f179])).
% 0.16/0.67 fof(f182,plain,(
% 0.16/0.67 sQ13_spl|sQ1_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f88,f179,f113])).
% 0.16/0.67 fof(f183,plain,(
% 0.16/0.67 sQ13_spl|sQ2_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f89,f179,f117])).
% 0.16/0.67 fof(f184,plain,(
% 0.16/0.67 sQ13_spl|sQ3_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f90,f179,f121])).
% 0.16/0.67 fof(f185,plain,(
% 0.16/0.67 sQ13_spl|sQ4_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f91,f179,f125])).
% 0.16/0.67 fof(f186,plain,(
% 0.16/0.67 sQ13_spl|sQ5_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f92,f179,f129])).
% 0.16/0.67 fof(f187,plain,(
% 0.16/0.67 sQ13_spl|sQ6_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f93,f179,f133])).
% 0.16/0.67 fof(f188,plain,(
% 0.16/0.67 sQ13_spl|sQ7_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f94,f179,f137])).
% 0.16/0.67 fof(f189,plain,(
% 0.16/0.67 sQ13_spl|sQ8_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f95,f179,f141])).
% 0.16/0.67 fof(f190,plain,(
% 0.16/0.67 sQ13_spl|sQ9_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f96,f179,f145])).
% 0.16/0.67 fof(f192,definition,(
% 0.16/0.67 sQ14_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f193,plain,(
% 0.16/0.67 inverse(sk_c2)=sk_c9|~sQ14_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f192])).
% 0.16/0.67 fof(f195,plain,(
% 0.16/0.67 sQ14_spl|sQ1_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f98,f192,f113])).
% 0.16/0.67 fof(f196,plain,(
% 0.16/0.67 sQ14_spl|sQ2_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f99,f192,f117])).
% 0.16/0.67 fof(f197,plain,(
% 0.16/0.67 sQ14_spl|sQ3_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f100,f192,f121])).
% 0.16/0.67 fof(f198,plain,(
% 0.16/0.67 sQ14_spl|sQ4_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f101,f192,f125])).
% 0.16/0.67 fof(f199,plain,(
% 0.16/0.67 sQ14_spl|sQ5_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f102,f192,f129])).
% 0.16/0.67 fof(f200,plain,(
% 0.16/0.67 sQ14_spl|sQ6_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f103,f192,f133])).
% 0.16/0.67 fof(f201,plain,(
% 0.16/0.67 sQ14_spl|sQ7_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f104,f192,f137])).
% 0.16/0.67 fof(f202,plain,(
% 0.16/0.67 sQ14_spl|sQ8_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f105,f192,f141])).
% 0.16/0.67 fof(f203,plain,(
% 0.16/0.67 sQ14_spl|sQ9_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f106,f192,f145])).
% 0.16/0.67 fof(f205,definition,(
% 0.16/0.67 ![X0]: (sQ15_spl <=> (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11))),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f206,plain,(
% 0.16/0.67 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ15_spl)),
% 0.16/0.67 inference(component_clause,[status(thm)],[f205])).
% 0.16/0.67 fof(f208,definition,(
% 0.16/0.67 ![X1]: (sQ16_spl <=> (~multiply(X1,sk_c9)=sk_c11|~inverse(X1)=sk_c9))),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f209,plain,(
% 0.16/0.67 ![X0]: (~multiply(X0,sk_c9)=sk_c11|~inverse(X0)=sk_c9|~sQ16_spl)),
% 0.16/0.67 inference(component_clause,[status(thm)],[f208])).
% 0.16/0.67 fof(f211,definition,(
% 0.16/0.67 ![X3]: (sQ17_spl <=> (~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10))),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f212,plain,(
% 0.16/0.67 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ17_spl)),
% 0.16/0.67 inference(component_clause,[status(thm)],[f211])).
% 0.16/0.67 fof(f214,definition,(
% 0.16/0.67 ![X4,X5,X6,X7]: (sQ18_spl <=> (~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7))),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f215,plain,(
% 0.16/0.67 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~sQ18_spl)),
% 0.16/0.67 inference(component_clause,[status(thm)],[f214])).
% 0.16/0.67 fof(f217,plain,(
% 0.16/0.67 sQ15_spl|~sQ12_spl|sQ16_spl|sQ17_spl|sQ18_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f109,f205,f166,f208,f211,f214])).
% 0.16/0.67 fof(f218,plain,(
% 0.16/0.67 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ18_spl)),
% 0.16/0.67 inference(destructive_equality_resolution,[status(thm)],[f215])).
% 0.16/0.67 fof(f233,plain,(
% 0.16/0.67 ![X0]: (~multiply(sk_c5,inverse(sk_c5))=sk_c11|~multiply(inverse(sk_c5),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(sk_c5)|~multiply(X0,sk_c8)=inverse(X0)|~sQ18_spl|~sQ6_spl)),
% 0.16/0.67 inference(paramodulation,[status(thm)],[f134,f218])).
% 0.16/0.67 fof(f235,plain,(
% 0.16/0.67 ![X0]: (~multiply(sk_c6,inverse(sk_c6))=sk_c11|~multiply(inverse(sk_c6),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(sk_c6)|~multiply(X0,sk_c8)=inverse(X0)|~sQ18_spl|~sQ9_spl)),
% 0.16/0.67 inference(paramodulation,[status(thm)],[f146,f218])).
% 0.16/0.67 fof(f258,definition,(
% 0.16/0.67 sQ25_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c11)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f260,plain,(
% 0.16/0.67 ~multiply(sk_c5,inverse(sk_c5))=sk_c11|sQ25_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f258])).
% 0.16/0.67 fof(f261,definition,(
% 0.16/0.67 sQ26_spl <=> (multiply(inverse(sk_c5),sk_c10)=sk_c11)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f263,plain,(
% 0.16/0.67 ~multiply(inverse(sk_c5),sk_c10)=sk_c11|sQ26_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f261])).
% 0.16/0.67 fof(f264,definition,(
% 0.16/0.67 ![X0]: (sQ27_spl <=> (~inverse(inverse(X0))=inverse(sk_c5)|~multiply(X0,sk_c8)=inverse(X0)))),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f267,plain,(
% 0.16/0.67 ~sQ25_spl|~sQ26_spl|sQ27_spl|~sQ18_spl|~sQ6_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f233,f258,f261,f264,f214,f133])).
% 0.16/0.67 fof(f278,definition,(
% 0.16/0.67 sQ31_spl <=> (multiply(sk_c6,inverse(sk_c6))=sk_c11)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f280,plain,(
% 0.16/0.67 ~multiply(sk_c6,inverse(sk_c6))=sk_c11|sQ31_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f278])).
% 0.16/0.67 fof(f281,definition,(
% 0.16/0.67 sQ32_spl <=> (multiply(inverse(sk_c6),sk_c10)=sk_c11)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f283,plain,(
% 0.16/0.67 ~multiply(inverse(sk_c6),sk_c10)=sk_c11|sQ32_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f281])).
% 0.16/0.67 fof(f284,definition,(
% 0.16/0.67 ![X0]: (sQ33_spl <=> (~inverse(inverse(X0))=inverse(sk_c6)|~multiply(X0,sk_c8)=inverse(X0)))),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f287,plain,(
% 0.16/0.67 ~sQ31_spl|~sQ32_spl|sQ33_spl|~sQ18_spl|~sQ9_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f235,f278,f281,f284,f214,f145])).
% 0.16/0.67 fof(f316,plain,(
% 0.16/0.67 ~sk_c9=sk_c9|~inverse(sk_c4)=sk_c10|~sQ17_spl|~sQ3_spl),
% 0.16/0.67 inference(paramodulation,[status(thm)],[f122,f212])).
% 0.16/0.67 fof(f318,definition,(
% 0.16/0.67 sQ40_spl <=> (sk_c9=sk_c9)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f320,plain,(
% 0.16/0.67 ~sk_c9=sk_c9|sQ40_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f318])).
% 0.16/0.67 fof(f321,plain,(
% 0.16/0.67 ~sQ40_spl|~sQ4_spl|~sQ17_spl|~sQ3_spl),
% 0.16/0.67 inference(split_clause,[status(thm)],[f316,f318,f125,f211,f121])).
% 0.16/0.67 fof(f322,definition,(
% 0.16/0.67 sQ41_spl <=> (sk_c11=sk_c9)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f324,plain,(
% 0.16/0.67 ~sk_c11=sk_c9|sQ41_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f322])).
% 0.16/0.67 fof(f329,plain,(
% 0.16/0.67 $false|sQ40_spl),
% 0.16/0.67 inference(trivial_equality_resolution,[status(thm)],[f320])).
% 0.16/0.67 fof(f330,plain,(
% 0.16/0.67 sQ40_spl),
% 0.16/0.67 inference(contradiction_clause,[status(thm)],[f329])).
% 0.16/0.67 fof(f333,plain,(
% 0.16/0.67 multiply(sk_c6,sk_c7)=identity|~sQ8_spl),
% 0.16/0.67 inference(paramodulation,[status(thm)],[f142,f56])).
% 0.16/0.67 fof(f338,plain,(
% 0.16/0.67 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.67 inference(paramodulation,[status(thm)],[f56,f57])).
% 0.16/0.67 fof(f339,plain,(
% 0.16/0.67 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.67 inference(forward_demodulation,[status(thm)],[f55,f338])).
% 0.16/0.67 fof(f348,plain,(
% 0.16/0.67 ~identity=sk_c11|~inverse(inverse(sk_c9))=sk_c9|~sQ16_spl),
% 0.16/0.67 inference(paramodulation,[status(thm)],[f56,f209])).
% 0.16/0.67 fof(f349,plain,(
% 0.16/0.67 ~sk_c9=sk_c11|~inverse(identity)=sk_c9|~sQ16_spl),
% 0.16/0.67 inference(paramodulation,[status(thm)],[f55,f209])).
% 0.16/0.67 fof(f351,definition,(
% 0.16/0.67 sQ43_spl <=> (identity=sk_c11)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f352,plain,(
% 0.16/0.67 identity=sk_c11|~sQ43_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f351])).
% 0.16/0.67 fof(f353,plain,(
% 0.16/0.67 ~identity=sk_c11|sQ43_spl),
% 0.16/0.67 inference(component_clause,[status(thm)],[f351])).
% 0.16/0.67 fof(f354,definition,(
% 0.16/0.67 sQ44_spl <=> (inverse(inverse(sk_c9))=sk_c9)),
% 0.16/0.67 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.16/0.67 fof(f356,plain,(
% 0.16/0.67 ~inverse(inverse(sk_c9))=sk_c9|sQ44_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f354])).
% 0.16/0.68 fof(f357,plain,(
% 0.16/0.68 ~sQ43_spl|~sQ44_spl|~sQ16_spl),
% 0.16/0.68 inference(split_clause,[status(thm)],[f348,f351,f354,f208])).
% 0.16/0.68 fof(f358,definition,(
% 0.16/0.68 sQ45_spl <=> (inverse(identity)=sk_c9)),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f360,plain,(
% 0.16/0.68 ~inverse(identity)=sk_c9|sQ45_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f358])).
% 0.16/0.68 fof(f361,plain,(
% 0.16/0.68 ~sQ41_spl|~sQ45_spl|~sQ16_spl),
% 0.16/0.68 inference(split_clause,[status(thm)],[f349,f322,f358,f208])).
% 0.16/0.68 fof(f362,plain,(
% 0.16/0.68 ~inverse(sk_c3)=sk_c11|~sQ15_spl|~sQ1_spl),
% 0.16/0.68 inference(resolution,[status(thm)],[f206,f114])).
% 0.16/0.68 fof(f368,plain,(
% 0.16/0.68 ~sk_c10=sk_c10|~inverse(sk_c1)=sk_c11|~sQ15_spl|~sQ0_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f111,f206])).
% 0.16/0.68 fof(f369,plain,(
% 0.16/0.68 ~sk_c11=sk_c11|~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f118,f362])).
% 0.16/0.68 fof(f370,plain,(
% 0.16/0.68 $false|~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f369])).
% 0.16/0.68 fof(f371,plain,(
% 0.16/0.68 ~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f370])).
% 0.16/0.68 fof(f377,plain,(
% 0.16/0.68 ~multiply(identity,inverse(identity))=sk_c11|~multiply(inverse(identity),sk_c10)=sk_c11|~inverse(inverse(identity))=inverse(identity)|~sQ18_spl),
% 0.16/0.68 inference(resolution,[status(thm)],[f218,f55])).
% 0.16/0.68 fof(f387,definition,(
% 0.16/0.68 sQ46_spl <=> (multiply(identity,inverse(identity))=sk_c11)),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f389,plain,(
% 0.16/0.68 ~multiply(identity,inverse(identity))=sk_c11|sQ46_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f387])).
% 0.16/0.68 fof(f390,definition,(
% 0.16/0.68 sQ47_spl <=> (multiply(inverse(identity),sk_c10)=sk_c11)),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f392,plain,(
% 0.16/0.68 ~multiply(inverse(identity),sk_c10)=sk_c11|sQ47_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f390])).
% 0.16/0.68 fof(f393,definition,(
% 0.16/0.68 sQ48_spl <=> (inverse(inverse(identity))=inverse(identity))),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f395,plain,(
% 0.16/0.68 ~inverse(inverse(identity))=inverse(identity)|sQ48_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f393])).
% 0.16/0.68 fof(f396,plain,(
% 0.16/0.68 ~sQ46_spl|~sQ47_spl|~sQ48_spl|~sQ18_spl),
% 0.16/0.68 inference(split_clause,[status(thm)],[f377,f387,f390,f393,f214])).
% 0.16/0.68 fof(f403,plain,(
% 0.16/0.68 ~inverse(identity)=sk_c11|sQ46_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f55,f389])).
% 0.16/0.68 fof(f404,plain,(
% 0.16/0.68 ~multiply(sk_c8,sk_c10)=sk_c11|~sQ9_spl|sQ32_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f146,f283])).
% 0.16/0.68 fof(f405,plain,(
% 0.16/0.68 ~sk_c11=sk_c11|~sQ7_spl|~sQ9_spl|sQ32_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f138,f404])).
% 0.16/0.68 fof(f406,plain,(
% 0.16/0.68 $false|~sQ7_spl|~sQ9_spl|sQ32_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f405])).
% 0.16/0.68 fof(f407,plain,(
% 0.16/0.68 ~sQ7_spl|~sQ9_spl|sQ32_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f406])).
% 0.16/0.68 fof(f412,plain,(
% 0.16/0.68 ~multiply(sk_c8,sk_c10)=sk_c11|~sQ6_spl|sQ26_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f134,f263])).
% 0.16/0.68 fof(f413,plain,(
% 0.16/0.68 ~sk_c11=sk_c11|~sQ7_spl|~sQ6_spl|sQ26_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f138,f412])).
% 0.16/0.68 fof(f414,plain,(
% 0.16/0.68 $false|~sQ7_spl|~sQ6_spl|sQ26_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f413])).
% 0.16/0.68 fof(f415,plain,(
% 0.16/0.68 ~sQ7_spl|~sQ6_spl|sQ26_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f414])).
% 0.16/0.68 fof(f417,plain,(
% 0.16/0.68 ~multiply(sk_c5,sk_c8)=sk_c11|~sQ6_spl|sQ25_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f134,f260])).
% 0.16/0.68 fof(f418,plain,(
% 0.16/0.68 ~sk_c11=sk_c11|~sQ5_spl|~sQ6_spl|sQ25_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f130,f417])).
% 0.16/0.68 fof(f419,plain,(
% 0.16/0.68 $false|~sQ5_spl|~sQ6_spl|sQ25_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f418])).
% 0.16/0.68 fof(f420,plain,(
% 0.16/0.68 ~sQ5_spl|~sQ6_spl|sQ25_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f419])).
% 0.16/0.68 fof(f439,plain,(
% 0.16/0.68 sk_c7=multiply(inverse(sk_c6),identity)|~sQ8_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f333,f339])).
% 0.16/0.68 fof(f445,plain,(
% 0.16/0.68 sk_c11=multiply(inverse(sk_c3),sk_c10)|~sQ1_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f114,f339])).
% 0.16/0.68 fof(f447,plain,(
% 0.16/0.68 sk_c10=multiply(inverse(sk_c4),sk_c9)|~sQ3_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f122,f339])).
% 0.16/0.68 fof(f448,plain,(
% 0.16/0.68 sk_c8=multiply(inverse(sk_c5),sk_c11)|~sQ5_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f130,f339])).
% 0.16/0.68 fof(f455,plain,(
% 0.16/0.68 sk_c7=multiply(sk_c8,identity)|~sQ9_spl|~sQ8_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f146,f439])).
% 0.16/0.68 fof(f457,plain,(
% 0.16/0.68 sk_c11=multiply(sk_c11,sk_c10)|~sQ2_spl|~sQ1_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f118,f445])).
% 0.16/0.68 fof(f459,plain,(
% 0.16/0.68 sk_c10=multiply(sk_c10,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f126,f447])).
% 0.16/0.68 fof(f460,plain,(
% 0.16/0.68 sk_c8=multiply(sk_c8,sk_c11)|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f134,f448])).
% 0.16/0.68 fof(f473,plain,(
% 0.16/0.68 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ2_spl|~sQ1_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f457,f339])).
% 0.16/0.68 fof(f476,plain,(
% 0.16/0.68 sk_c10=identity|~sQ2_spl|~sQ1_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f56,f473])).
% 0.16/0.68 fof(f478,plain,(
% 0.16/0.68 sk_c7=multiply(sk_c8,sk_c10)|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f476,f455])).
% 0.16/0.68 fof(f479,plain,(
% 0.16/0.68 ~inverse(sk_c10)=sk_c11|~sQ2_spl|~sQ1_spl|sQ46_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f476,f403])).
% 0.16/0.68 fof(f482,plain,(
% 0.16/0.68 ~inverse(sk_c10)=sk_c9|~sQ2_spl|~sQ1_spl|sQ45_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f476,f360])).
% 0.16/0.68 fof(f487,plain,(
% 0.16/0.68 ![X0]: (multiply(inverse(X0),X0)=sk_c10|~sQ2_spl|~sQ1_spl)),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f476,f56])).
% 0.16/0.68 fof(f488,plain,(
% 0.16/0.68 ![X0]: (multiply(sk_c10,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f476,f55])).
% 0.16/0.68 fof(f493,plain,(
% 0.16/0.68 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f504,f488])).
% 0.16/0.68 fof(f494,plain,(
% 0.16/0.68 ~inverse(sk_c9)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ45_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f504,f482])).
% 0.16/0.68 fof(f495,plain,(
% 0.16/0.68 ~inverse(sk_c9)=sk_c11|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ46_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f504,f479])).
% 0.16/0.68 fof(f496,plain,(
% 0.16/0.68 sk_c9=identity|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f504,f476])).
% 0.16/0.68 fof(f499,plain,(
% 0.16/0.68 inverse(sk_c4)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f504,f126])).
% 0.16/0.68 fof(f502,plain,(
% 0.16/0.68 multiply(sk_c8,sk_c9)=sk_c11|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f504,f138])).
% 0.16/0.68 fof(f504,plain,(
% 0.16/0.68 sk_c10=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f488,f459])).
% 0.16/0.68 fof(f512,plain,(
% 0.16/0.68 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f504,f487])).
% 0.16/0.68 fof(f513,plain,(
% 0.16/0.68 multiply(sk_c9,sk_c4)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f499,f512])).
% 0.16/0.68 fof(f518,plain,(
% 0.16/0.68 multiply(sk_c9,sk_c2)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ14_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f193,f512])).
% 0.16/0.68 fof(f521,plain,(
% 0.16/0.68 sk_c4=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f493,f513])).
% 0.16/0.68 fof(f522,plain,(
% 0.16/0.68 sk_c2=sk_c9|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ14_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f493,f518])).
% 0.16/0.68 fof(f529,plain,(
% 0.16/0.68 inverse(sk_c9)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f521,f499])).
% 0.16/0.68 fof(f530,plain,(
% 0.16/0.68 $false|sQ45_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(forward_subsumption_resolution,[status(thm)],[f529,f494])).
% 0.16/0.68 fof(f531,plain,(
% 0.16/0.68 sQ45_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f530])).
% 0.16/0.68 fof(f536,plain,(
% 0.16/0.68 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ14_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f522,f512])).
% 0.16/0.68 fof(f538,plain,(
% 0.16/0.68 ![X0]: (multiply(sk_c2,X0)=X0|~sQ14_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f522,f493])).
% 0.16/0.68 fof(f540,plain,(
% 0.16/0.68 sk_c10=sk_c2|~sQ14_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f522,f504])).
% 0.16/0.68 fof(f542,plain,(
% 0.16/0.68 ~multiply(sk_c2,sk_c2)=sk_c11|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ14_spl|sQ13_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f522,f181])).
% 0.16/0.68 fof(f543,plain,(
% 0.16/0.68 ~sk_c11=sk_c2|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ14_spl|sQ41_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f522,f324])).
% 0.16/0.68 fof(f570,plain,(
% 0.16/0.68 multiply(sk_c8,sk_c2)=sk_c11|~sQ14_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f522,f502])).
% 0.16/0.68 fof(f578,plain,(
% 0.16/0.68 sk_c7=sk_c11|~sQ9_spl|~sQ8_spl|~sQ14_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f579,f570])).
% 0.16/0.68 fof(f579,plain,(
% 0.16/0.68 sk_c7=multiply(sk_c8,sk_c2)|~sQ14_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f540,f478])).
% 0.16/0.68 fof(f584,plain,(
% 0.16/0.68 sk_c8=multiply(sk_c8,sk_c7)|~sQ9_spl|~sQ8_spl|~sQ14_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f578,f460])).
% 0.16/0.68 fof(f585,plain,(
% 0.16/0.68 ~sk_c7=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ14_spl|sQ41_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f578,f543])).
% 0.16/0.68 fof(f655,plain,(
% 0.16/0.68 ~sk_c2=sk_c11|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ14_spl|sQ13_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f538,f542])).
% 0.16/0.68 fof(f656,plain,(
% 0.16/0.68 ~sk_c2=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ14_spl|sQ13_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f578,f655])).
% 0.16/0.68 fof(f662,plain,(
% 0.16/0.68 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ9_spl|~sQ8_spl|~sQ14_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f584,f339])).
% 0.16/0.68 fof(f664,plain,(
% 0.16/0.68 sk_c7=sk_c2|~sQ9_spl|~sQ8_spl|~sQ14_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f536,f662])).
% 0.16/0.68 fof(f665,plain,(
% 0.16/0.68 $false|sQ41_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(forward_subsumption_resolution,[status(thm)],[f664,f585])).
% 0.16/0.68 fof(f666,plain,(
% 0.16/0.68 sQ41_spl|~sQ9_spl|~sQ8_spl|~sQ14_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f665])).
% 0.16/0.68 fof(f684,plain,(
% 0.16/0.68 ~sk_c2=sk_c2|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ14_spl|sQ13_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f664,f656])).
% 0.16/0.68 fof(f685,plain,(
% 0.16/0.68 $false|~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ14_spl|sQ13_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f684])).
% 0.16/0.68 fof(f686,plain,(
% 0.16/0.68 ~sQ6_spl|~sQ5_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ14_spl|sQ13_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f685])).
% 0.16/0.68 fof(f691,plain,(
% 0.16/0.68 sk_c9=multiply(inverse(sk_c2),sk_c11)|~sQ13_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f180,f339])).
% 0.16/0.68 fof(f693,plain,(
% 0.16/0.68 sk_c9=multiply(sk_c9,sk_c11)|~sQ14_spl|~sQ13_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f193,f691])).
% 0.16/0.68 fof(f703,plain,(
% 0.16/0.68 sk_c11=multiply(inverse(sk_c1),sk_c10)|~sQ0_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f111,f339])).
% 0.16/0.68 fof(f705,plain,(
% 0.16/0.68 sk_c11=multiply(sk_c11,sk_c10)|~sQ11_spl|~sQ0_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f154,f703])).
% 0.16/0.68 fof(f719,plain,(
% 0.16/0.68 multiply(sk_c11,sk_c1)=identity|~sQ11_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f154,f56])).
% 0.16/0.68 fof(f725,plain,(
% 0.16/0.68 ~inverse(sk_c2)=sk_c9|~sQ16_spl|~sQ13_spl),
% 0.16/0.68 inference(resolution,[status(thm)],[f209,f180])).
% 0.16/0.68 fof(f732,plain,(
% 0.16/0.68 ~sk_c9=sk_c9|~sQ14_spl|~sQ16_spl|~sQ13_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f193,f725])).
% 0.16/0.68 fof(f733,plain,(
% 0.16/0.68 $false|~sQ14_spl|~sQ16_spl|~sQ13_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f732])).
% 0.16/0.68 fof(f734,plain,(
% 0.16/0.68 ~sQ14_spl|~sQ16_spl|~sQ13_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f733])).
% 0.16/0.68 fof(f742,plain,(
% 0.16/0.68 sk_c11=multiply(inverse(sk_c9),sk_c9)|~sQ14_spl|~sQ13_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f693,f339])).
% 0.16/0.68 fof(f744,plain,(
% 0.16/0.68 sk_c11=identity|~sQ14_spl|~sQ13_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f56,f742])).
% 0.16/0.68 fof(f745,plain,(
% 0.16/0.68 $false|sQ43_spl|~sQ14_spl|~sQ13_spl),
% 0.16/0.68 inference(forward_subsumption_resolution,[status(thm)],[f744,f353])).
% 0.16/0.68 fof(f746,plain,(
% 0.16/0.68 sQ43_spl|~sQ14_spl|~sQ13_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f745])).
% 0.16/0.68 fof(f753,plain,(
% 0.16/0.68 ![X0]: (multiply(sk_c11,X0)=X0|~sQ14_spl|~sQ13_spl)),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f744,f55])).
% 0.16/0.68 fof(f756,plain,(
% 0.16/0.68 sk_c9=sk_c10|~sQ14_spl|~sQ13_spl|~sQ12_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f753,f167])).
% 0.16/0.68 fof(f757,plain,(
% 0.16/0.68 ~sk_c10=sk_c9|~inverse(sk_c11)=sk_c10|~sQ17_spl|~sQ14_spl|~sQ13_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f753,f212])).
% 0.16/0.68 fof(f760,definition,(
% 0.16/0.68 sQ49_spl <=> (sk_c10=sk_c9)),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f762,plain,(
% 0.16/0.68 ~sk_c10=sk_c9|sQ49_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f760])).
% 0.16/0.68 fof(f763,definition,(
% 0.16/0.68 sQ50_spl <=> (inverse(sk_c11)=sk_c10)),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f765,plain,(
% 0.16/0.68 ~inverse(sk_c11)=sk_c10|sQ50_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f763])).
% 0.16/0.68 fof(f766,plain,(
% 0.16/0.68 ~sQ49_spl|~sQ50_spl|~sQ17_spl|~sQ14_spl|~sQ13_spl),
% 0.16/0.68 inference(split_clause,[status(thm)],[f757,f760,f763,f211,f192,f179])).
% 0.16/0.68 fof(f775,plain,(
% 0.16/0.68 ~sk_c9=sk_c9|~sQ14_spl|~sQ13_spl|~sQ12_spl|sQ49_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f756,f762])).
% 0.16/0.68 fof(f776,plain,(
% 0.16/0.68 $false|~sQ14_spl|~sQ13_spl|~sQ12_spl|sQ49_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f775])).
% 0.16/0.68 fof(f777,plain,(
% 0.16/0.68 ~sQ14_spl|~sQ13_spl|~sQ12_spl|sQ49_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f776])).
% 0.16/0.68 fof(f784,plain,(
% 0.16/0.68 sk_c11=sk_c10|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ0_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f753,f705])).
% 0.16/0.68 fof(f791,plain,(
% 0.16/0.68 sk_c1=identity|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f753,f719])).
% 0.16/0.68 fof(f792,plain,(
% 0.16/0.68 sk_c1=sk_c11|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f744,f791])).
% 0.16/0.68 fof(f800,plain,(
% 0.16/0.68 sk_c10=identity|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f784,f744])).
% 0.16/0.68 fof(f804,plain,(
% 0.16/0.68 sk_c1=sk_c10|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f784,f792])).
% 0.16/0.68 fof(f805,plain,(
% 0.16/0.68 sk_c1=sk_c9|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f756,f804])).
% 0.16/0.68 fof(f806,plain,(
% 0.16/0.68 sk_c11=sk_c9|~sQ12_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ0_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f756,f784])).
% 0.16/0.68 fof(f807,plain,(
% 0.16/0.68 sk_c9=identity|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f756,f800])).
% 0.16/0.68 fof(f819,plain,(
% 0.16/0.68 ~inverse(sk_c9)=sk_c10|~sQ12_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ0_spl|sQ50_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f806,f765])).
% 0.16/0.68 fof(f820,plain,(
% 0.16/0.68 ~inverse(sk_c9)=sk_c9|~sQ12_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|~sQ0_spl|sQ50_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f756,f819])).
% 0.16/0.68 fof(f824,plain,(
% 0.16/0.68 inverse(sk_c9)=sk_c11|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f805,f154])).
% 0.16/0.68 fof(f825,plain,(
% 0.16/0.68 inverse(sk_c9)=sk_c9|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f806,f824])).
% 0.16/0.68 fof(f826,plain,(
% 0.16/0.68 $false|sQ50_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(forward_subsumption_resolution,[status(thm)],[f825,f820])).
% 0.16/0.68 fof(f827,plain,(
% 0.16/0.68 sQ50_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f826])).
% 0.16/0.68 fof(f836,definition,(
% 0.16/0.68 sQ53_spl <=> (sk_c11=sk_c11)),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f838,plain,(
% 0.16/0.68 ~sk_c11=sk_c11|sQ53_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f836])).
% 0.16/0.68 fof(f846,plain,(
% 0.16/0.68 ~sk_c9=sk_c11|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ43_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f496,f353])).
% 0.16/0.68 fof(f863,plain,(
% 0.16/0.68 inverse(sk_c9)=sk_c10|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f521,f126])).
% 0.16/0.68 fof(f864,plain,(
% 0.16/0.68 inverse(sk_c9)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f504,f863])).
% 0.16/0.68 fof(f878,plain,(
% 0.16/0.68 ~inverse(sk_c9)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|sQ44_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f864,f356])).
% 0.16/0.68 fof(f879,plain,(
% 0.16/0.68 ~sk_c9=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|sQ44_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f864,f878])).
% 0.16/0.68 fof(f880,plain,(
% 0.16/0.68 $false|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|sQ44_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f879])).
% 0.16/0.68 fof(f881,plain,(
% 0.16/0.68 ~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|sQ44_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f880])).
% 0.16/0.68 fof(f882,plain,(
% 0.16/0.68 $false|sQ53_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f838])).
% 0.16/0.68 fof(f883,plain,(
% 0.16/0.68 sQ53_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f882])).
% 0.16/0.68 fof(f891,plain,(
% 0.16/0.68 inverse(sk_c9)=sk_c11|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f805,f154])).
% 0.16/0.68 fof(f892,plain,(
% 0.16/0.68 sk_c9=sk_c11|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ43_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f807,f352])).
% 0.16/0.68 fof(f901,plain,(
% 0.16/0.68 ![X0]: (multiply(sk_c9,X0)=X0|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl)),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f807,f55])).
% 0.16/0.68 fof(f909,plain,(
% 0.16/0.68 ![X0]: (X0=multiply(sk_c9,multiply(sk_c2,X0))|~sQ14_spl)),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f193,f339])).
% 0.16/0.68 fof(f910,plain,(
% 0.16/0.68 ![X0]: (X0=multiply(sk_c2,X0)|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl)),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f901,f909])).
% 0.16/0.68 fof(f935,plain,(
% 0.16/0.68 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl)),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f807,f56])).
% 0.16/0.68 fof(f937,plain,(
% 0.16/0.68 multiply(sk_c9,sk_c2)=sk_c9|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f193,f935])).
% 0.16/0.68 fof(f942,plain,(
% 0.16/0.68 sk_c2=sk_c9|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ13_spl|~sQ14_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f901,f937])).
% 0.16/0.68 fof(f954,plain,(
% 0.16/0.68 sk_c2=sk_c11|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ43_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f942,f892])).
% 0.16/0.68 fof(f957,plain,(
% 0.16/0.68 sk_c2=sk_c10|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ12_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f942,f756])).
% 0.16/0.68 fof(f961,plain,(
% 0.16/0.68 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ43_spl|~sQ18_spl)),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f954,f218])).
% 0.16/0.68 fof(f962,plain,(
% 0.16/0.68 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c2)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ43_spl|~sQ18_spl)),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f957,f961])).
% 0.16/0.68 fof(f963,plain,(
% 0.16/0.68 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c2)=sk_c2|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ43_spl|~sQ18_spl)),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f954,f962])).
% 0.16/0.68 fof(f985,plain,(
% 0.16/0.68 inverse(sk_c2)=sk_c11|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f942,f891])).
% 0.16/0.68 fof(f986,plain,(
% 0.16/0.68 inverse(sk_c2)=sk_c2|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f954,f985])).
% 0.16/0.68 fof(f989,definition,(
% 0.16/0.68 sQ60_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c2)),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f991,plain,(
% 0.16/0.68 ~multiply(sk_c2,inverse(sk_c2))=sk_c2|sQ60_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f989])).
% 0.16/0.68 fof(f992,definition,(
% 0.16/0.68 sQ61_spl <=> (multiply(inverse(sk_c2),sk_c2)=sk_c2)),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f994,plain,(
% 0.16/0.68 ~multiply(inverse(sk_c2),sk_c2)=sk_c2|sQ61_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f992])).
% 0.16/0.68 fof(f1000,plain,(
% 0.16/0.68 ~multiply(sk_c2,sk_c2)=sk_c2|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ61_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f986,f994])).
% 0.16/0.68 fof(f1001,plain,(
% 0.16/0.68 ~multiply(sk_c2,sk_c2)=sk_c2|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ60_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f986,f991])).
% 0.16/0.68 fof(f1002,plain,(
% 0.16/0.68 ~multiply(sk_c2,inverse(sk_c2))=sk_c2|~multiply(inverse(sk_c2),sk_c2)=sk_c2|~inverse(inverse(sk_c2))=inverse(sk_c2)|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ43_spl|~sQ18_spl),
% 0.16/0.68 inference(resolution,[status(thm)],[f910,f963])).
% 0.16/0.68 fof(f1006,definition,(
% 0.16/0.68 sQ63_spl <=> (inverse(inverse(sk_c2))=inverse(sk_c2))),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f1008,plain,(
% 0.16/0.68 ~inverse(inverse(sk_c2))=inverse(sk_c2)|sQ63_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f1006])).
% 0.16/0.68 fof(f1009,plain,(
% 0.16/0.68 ~sQ60_spl|~sQ61_spl|~sQ63_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ43_spl|~sQ18_spl),
% 0.16/0.68 inference(split_clause,[status(thm)],[f1002,f989,f992,f1006,f166,f153,f110,f192,f179,f351,f214])).
% 0.16/0.68 fof(f1015,plain,(
% 0.16/0.68 ~inverse(sk_c2)=inverse(sk_c2)|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ63_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f986,f1008])).
% 0.16/0.68 fof(f1016,plain,(
% 0.16/0.68 ~sk_c2=inverse(sk_c2)|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ63_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f986,f1015])).
% 0.16/0.68 fof(f1017,plain,(
% 0.16/0.68 ~sk_c2=sk_c2|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ63_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f986,f1016])).
% 0.16/0.68 fof(f1018,plain,(
% 0.16/0.68 $false|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ63_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1017])).
% 0.16/0.68 fof(f1019,plain,(
% 0.16/0.68 ~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ63_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1018])).
% 0.16/0.68 fof(f1219,plain,(
% 0.16/0.68 ~sk_c2=sk_c2|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ60_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f910,f1001])).
% 0.16/0.68 fof(f1220,plain,(
% 0.16/0.68 $false|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ60_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1219])).
% 0.16/0.68 fof(f1221,plain,(
% 0.16/0.68 ~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ60_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1220])).
% 0.16/0.68 fof(f1227,plain,(
% 0.16/0.68 multiply(sk_c11,sk_c9)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f504,f167])).
% 0.16/0.68 fof(f1230,plain,(
% 0.16/0.68 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f496,f55])).
% 0.16/0.68 fof(f1242,plain,(
% 0.16/0.68 multiply(sk_c1,sk_c11)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f504,f111])).
% 0.16/0.68 fof(f1243,plain,(
% 0.16/0.68 sk_c11=multiply(inverse(sk_c1),sk_c9)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f1242,f339])).
% 0.16/0.68 fof(f1245,plain,(
% 0.16/0.68 sk_c11=multiply(sk_c11,sk_c9)|~sQ11_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f154,f1243])).
% 0.16/0.68 fof(f1246,plain,(
% 0.16/0.68 sk_c11=sk_c9|~sQ12_spl|~sQ11_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1227,f1245])).
% 0.16/0.68 fof(f1247,plain,(
% 0.16/0.68 $false|sQ43_spl|~sQ12_spl|~sQ11_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.16/0.68 inference(forward_subsumption_resolution,[status(thm)],[f1246,f846])).
% 0.16/0.68 fof(f1248,plain,(
% 0.16/0.68 sQ43_spl|~sQ12_spl|~sQ11_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1247])).
% 0.16/0.68 fof(f1252,plain,(
% 0.16/0.68 ~multiply(inverse(sk_c9),sk_c10)=sk_c11|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f496,f392])).
% 0.16/0.68 fof(f1253,plain,(
% 0.16/0.68 ~multiply(sk_c9,sk_c10)=sk_c11|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f864,f1252])).
% 0.16/0.68 fof(f1254,plain,(
% 0.16/0.68 ~sk_c10=sk_c11|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1230,f1253])).
% 0.16/0.68 fof(f1255,plain,(
% 0.16/0.68 ~sk_c9=sk_c11|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f504,f1254])).
% 0.16/0.68 fof(f1258,plain,(
% 0.16/0.68 ~inverse(inverse(sk_c9))=inverse(identity)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ48_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f496,f395])).
% 0.16/0.68 fof(f1259,plain,(
% 0.16/0.68 ~inverse(sk_c9)=inverse(identity)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ48_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f864,f1258])).
% 0.16/0.68 fof(f1260,plain,(
% 0.16/0.68 ~sk_c9=inverse(identity)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ48_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f864,f1259])).
% 0.16/0.68 fof(f1261,plain,(
% 0.16/0.68 ~sk_c9=inverse(sk_c9)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ48_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f496,f1260])).
% 0.16/0.68 fof(f1262,plain,(
% 0.16/0.68 ~sk_c9=sk_c9|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ48_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f864,f1261])).
% 0.16/0.68 fof(f1263,plain,(
% 0.16/0.68 $false|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ48_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1262])).
% 0.16/0.68 fof(f1264,plain,(
% 0.16/0.68 ~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ48_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1263])).
% 0.16/0.68 fof(f1384,plain,(
% 0.16/0.68 ~sk_c2=sk_c2|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ61_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f910,f1000])).
% 0.16/0.68 fof(f1385,plain,(
% 0.16/0.68 $false|~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ61_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1384])).
% 0.16/0.68 fof(f1386,plain,(
% 0.16/0.68 ~sQ43_spl|~sQ12_spl|~sQ0_spl|~sQ14_spl|~sQ13_spl|~sQ11_spl|sQ61_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1385])).
% 0.16/0.68 fof(f1387,plain,(
% 0.16/0.68 sk_c9=sk_c11|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ43_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f496,f352])).
% 0.16/0.68 fof(f1396,plain,(
% 0.16/0.68 ~sk_c9=sk_c9|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1246,f1255])).
% 0.16/0.68 fof(f1397,plain,(
% 0.16/0.68 $false|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1396])).
% 0.16/0.68 fof(f1398,plain,(
% 0.16/0.68 ~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1397])).
% 0.16/0.68 fof(f1431,plain,(
% 0.16/0.68 ~sk_c9=sk_c11|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ46_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f864,f495])).
% 0.16/0.68 fof(f1432,plain,(
% 0.16/0.68 ~sk_c9=sk_c9|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ46_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1246,f1431])).
% 0.16/0.68 fof(f1433,plain,(
% 0.16/0.68 $false|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ46_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1432])).
% 0.16/0.68 fof(f1434,plain,(
% 0.16/0.68 ~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ46_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1433])).
% 0.16/0.68 fof(f1442,definition,(
% 0.16/0.68 sQ71_spl <=> (inverse(identity)=sk_c11)),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f1444,plain,(
% 0.16/0.68 ~inverse(identity)=sk_c11|sQ71_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f1442])).
% 0.16/0.68 fof(f1446,definition,(
% 0.16/0.68 sQ72_spl <=> (sk_c10=sk_c10)),
% 0.16/0.68 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.16/0.68 fof(f1448,plain,(
% 0.16/0.68 ~sk_c10=sk_c10|sQ72_spl),
% 0.16/0.68 inference(component_clause,[status(thm)],[f1446])).
% 0.16/0.68 fof(f1449,plain,(
% 0.16/0.68 ~sQ72_spl|~sQ11_spl|~sQ15_spl|~sQ0_spl),
% 0.16/0.68 inference(split_clause,[status(thm)],[f368,f1446,f153,f205,f110])).
% 0.16/0.68 fof(f1462,plain,(
% 0.16/0.68 ~multiply(sk_c11,sk_c9)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ12_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f504,f168])).
% 0.16/0.68 fof(f1517,plain,(
% 0.16/0.68 sk_c7=sk_c11|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f1518,f502])).
% 0.16/0.68 fof(f1518,plain,(
% 0.16/0.68 sk_c7=multiply(sk_c8,sk_c9)|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f504,f478])).
% 0.16/0.68 fof(f1527,plain,(
% 0.16/0.68 ~sk_c9=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ43_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f1517,f846])).
% 0.16/0.68 fof(f1608,plain,(
% 0.16/0.68 sk_c8=multiply(sk_c8,sk_c7)|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1517,f460])).
% 0.16/0.68 fof(f1609,plain,(
% 0.16/0.68 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(paramodulation,[status(thm)],[f1608,f339])).
% 0.16/0.68 fof(f1611,plain,(
% 0.16/0.68 sk_c7=sk_c9|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f512,f1609])).
% 0.16/0.68 fof(f1612,plain,(
% 0.16/0.68 $false|sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(forward_subsumption_resolution,[status(thm)],[f1611,f1527])).
% 0.16/0.68 fof(f1613,plain,(
% 0.16/0.68 sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1612])).
% 0.16/0.68 fof(f1630,plain,(
% 0.16/0.68 inverse(sk_c9)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f1611,f864])).
% 0.16/0.68 fof(f1633,plain,(
% 0.16/0.68 sk_c10=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f1611,f504])).
% 0.16/0.68 fof(f1634,plain,(
% 0.16/0.68 sk_c7=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.16/0.68 inference(backward_demodulation,[status(thm)],[f1611,f496])).
% 0.16/0.68 fof(f1636,plain,(
% 0.16/0.68 inverse(sk_c7)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1611,f1630])).
% 0.16/0.68 fof(f1637,plain,(
% 0.16/0.68 sk_c6=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f142,f1636])).
% 0.16/0.68 fof(f1641,plain,(
% 0.16/0.68 $false|sQ72_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1448])).
% 0.16/0.68 fof(f1642,plain,(
% 0.16/0.68 sQ72_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1641])).
% 0.16/0.68 fof(f1654,plain,(
% 0.16/0.68 sk_c10=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1637,f1633])).
% 0.16/0.68 fof(f1655,plain,(
% 0.16/0.68 sk_c6=identity|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1637,f1634])).
% 0.16/0.68 fof(f1657,plain,(
% 0.16/0.68 sk_c6=sk_c9|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1654,f504])).
% 0.16/0.68 fof(f1660,plain,(
% 0.16/0.68 sk_c6=sk_c11|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ43_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1657,f1387])).
% 0.16/0.68 fof(f1666,plain,(
% 0.16/0.68 ![X0]: (multiply(sk_c6,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl)),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1655,f55])).
% 0.16/0.68 fof(f1685,plain,(
% 0.16/0.68 inverse(sk_c6)=sk_c9|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1657,f864])).
% 0.16/0.68 fof(f1686,plain,(
% 0.16/0.68 inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1657,f1685])).
% 0.16/0.68 fof(f1692,plain,(
% 0.16/0.68 ~multiply(sk_c6,sk_c9)=sk_c9|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ43_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ12_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1660,f1462])).
% 0.16/0.68 fof(f1693,plain,(
% 0.16/0.68 ~sk_c9=sk_c9|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ43_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ12_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1666,f1692])).
% 0.16/0.68 fof(f1694,plain,(
% 0.16/0.68 ~sk_c6=sk_c9|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ43_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ12_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1657,f1693])).
% 0.16/0.68 fof(f1695,plain,(
% 0.16/0.68 ~sk_c6=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ43_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ12_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1657,f1694])).
% 0.16/0.68 fof(f1696,plain,(
% 0.16/0.68 $false|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ43_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ12_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1695])).
% 0.16/0.68 fof(f1697,plain,(
% 0.16/0.68 ~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ43_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ12_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1696])).
% 0.16/0.68 fof(f1701,plain,(
% 0.16/0.68 ~inverse(sk_c6)=sk_c11|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ71_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1655,f1444])).
% 0.16/0.68 fof(f1702,plain,(
% 0.16/0.68 ~sk_c6=sk_c11|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ71_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1686,f1701])).
% 0.16/0.68 fof(f1703,plain,(
% 0.16/0.68 ~sk_c6=sk_c6|~sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ71_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1660,f1702])).
% 0.16/0.68 fof(f1704,plain,(
% 0.16/0.68 $false|~sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ71_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1703])).
% 0.16/0.68 fof(f1705,plain,(
% 0.16/0.68 ~sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ71_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1704])).
% 0.16/0.68 fof(f1760,plain,(
% 0.16/0.68 ~inverse(sk_c6)=sk_c11|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ31_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1666,f280])).
% 0.16/0.68 fof(f1761,plain,(
% 0.16/0.68 ~sk_c6=sk_c11|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ31_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1686,f1760])).
% 0.16/0.68 fof(f1762,plain,(
% 0.16/0.68 ~sk_c6=sk_c6|~sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ31_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1660,f1761])).
% 0.16/0.68 fof(f1763,plain,(
% 0.16/0.68 $false|~sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ31_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1762])).
% 0.16/0.68 fof(f1764,plain,(
% 0.16/0.68 ~sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ31_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1763])).
% 0.16/0.68 fof(f1863,plain,(
% 0.16/0.68 ~sQ71_spl|sQ46_spl),
% 0.16/0.68 inference(split_clause,[status(thm)],[f403,f1442,f387])).
% 0.16/0.68 fof(f1907,plain,(
% 0.16/0.68 ~multiply(inverse(sk_c6),sk_c10)=sk_c11|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1655,f392])).
% 0.16/0.68 fof(f1908,plain,(
% 0.16/0.68 ~multiply(sk_c6,sk_c10)=sk_c11|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1686,f1907])).
% 0.16/0.68 fof(f1909,plain,(
% 0.16/0.68 ~sk_c10=sk_c11|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1666,f1908])).
% 0.16/0.68 fof(f1910,plain,(
% 0.16/0.68 ~sk_c6=sk_c11|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1654,f1909])).
% 0.16/0.68 fof(f1911,plain,(
% 0.16/0.68 ~sk_c6=sk_c6|~sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(forward_demodulation,[status(thm)],[f1660,f1910])).
% 0.16/0.68 fof(f1912,plain,(
% 0.16/0.68 $false|~sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(trivial_equality_resolution,[status(thm)],[f1911])).
% 0.16/0.68 fof(f1913,plain,(
% 0.16/0.68 ~sQ43_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ47_spl),
% 0.16/0.68 inference(contradiction_clause,[status(thm)],[f1912])).
% 0.16/0.68 fof(f1914,plain,(
% 0.16/0.68 $false),
% 0.16/0.68 inference(sat_refutation,[status(thm)],[f116,f120,f124,f128,f132,f136,f140,f144,f148,f156,f157,f158,f159,f160,f161,f162,f163,f164,f169,f170,f171,f172,f173,f174,f175,f176,f177,f182,f183,f184,f185,f186,f187,f188,f189,f190,f195,f196,f197,f198,f199,f200,f201,f202,f203,f217,f267,f287,f321,f330,f357,f361,f371,f396,f407,f415,f420,f531,f666,f686,f734,f746,f766,f777,f827,f881,f883,f1009,f1019,f1221,f1248,f1264,f1386,f1398,f1434,f1449,f1613,f1642,f1697,f1705,f1764,f1863,f1913])).
% 0.16/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.69 % Elapsed time: 0.093744 seconds
% 0.16/0.69 % CPU time: 0.618027 seconds
% 0.16/0.69 % Total memory used: 117.329 MB
% 0.16/0.69 % Net memory used: 116.744 MB
%------------------------------------------------------------------------------