%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP324-1 : 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 : 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 12:36:27 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP324-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:09:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f10,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f12,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f13,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f14,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f15,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f16,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f17,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f19,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f20,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f21,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f22,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f23,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f24,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f25,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f26,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f27,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f28,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f29,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f30,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f31,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f32,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f33,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f34,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f35,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f36,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f37,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f38,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f39,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f40,negated_conjecture,(
% 0.14/0.40 (![X3,X4,X5,X1,X2]: (( multiply(sk_c7,sk_c8) != sk_c6| multiply(X3,sk_c7) != sk_c8| inverse(X3) != sk_c7| multiply(sk_c8,X4) != sk_c7| multiply(X5,sk_c8) != X4| inverse(X5) != sk_c8| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| inverse(sk_c8) != sk_c6| multiply(X2,sk_c7) != sk_c6| inverse(X2) != sk_c7 ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f41,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f42,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f43,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f44,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f45,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f46,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f47,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.40 fof(f48,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c5,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f49,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.40 fof(f50,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.40 fof(f51,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.40 fof(f52,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40 fof(f53,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f54,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.40 fof(f55,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f56,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.40 fof(f57,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f58,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.40 fof(f59,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.40 fof(f60,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.40 fof(f61,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.40 fof(f62,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.40 fof(f63,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.40 fof(f65,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.40 fof(f66,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.40 fof(f67,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.40 fof(f68,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.40 fof(f69,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f70,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.40 fof(f71,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.40 fof(f72,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.40 fof(f73,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.40 fof(f74,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.40 fof(f75,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.40 fof(f76,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.40 fof(f77,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c8)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.40 fof(f78,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c7)=sk_c6),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.40 fof(f79,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c7),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.40 fof(f80,plain,(
% 0.14/0.40 ![X2]: ((((![X1]: ((((![X5]: ((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X3,sk_c7)=sk_c8)|~inverse(X3)=sk_c7))|~multiply(sk_c8,X4)=sk_c7)|~multiply(X5,sk_c8)=X4))|~inverse(X5)=sk_c8))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~inverse(sk_c8)=sk_c6)|~multiply(X2,sk_c7)=sk_c6)|~inverse(X2)=sk_c7)),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f40])).
% 0.14/0.40 fof(f81,plain,(
% 0.14/0.40 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~inverse(sk_c8)=sk_c6|~multiply(X4,sk_c7)=sk_c6|~inverse(X4)=sk_c7)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f80])).
% 0.14/0.40 fof(f82,definition,(
% 0.14/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f83,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c8)=sk_c6|~sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f82])).
% 0.14/0.40 fof(f84,plain,(
% 0.14/0.40 ~multiply(sk_c7,sk_c8)=sk_c6|sQ0_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f82])).
% 0.14/0.40 fof(f85,definition,(
% 0.14/0.40 sQ1_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f86,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c7)=sk_c6|~sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.40 fof(f87,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c7)=sk_c6|sQ1_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.40 fof(f88,plain,(
% 0.14/0.40 sQ0_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.14/0.40 fof(f89,definition,(
% 0.14/0.40 sQ2_spl <=> (multiply(sk_c4,sk_c8)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f90,plain,(
% 0.14/0.40 multiply(sk_c4,sk_c8)=sk_c7|~sQ2_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.40 fof(f92,plain,(
% 0.14/0.40 sQ0_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.14/0.40 fof(f93,definition,(
% 0.14/0.40 sQ3_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f94,plain,(
% 0.14/0.40 inverse(sk_c4)=sk_c8|~sQ3_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.40 fof(f96,plain,(
% 0.14/0.40 sQ0_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.14/0.40 fof(f97,definition,(
% 0.14/0.40 sQ4_spl <=> (inverse(sk_c8)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f98,plain,(
% 0.14/0.40 inverse(sk_c8)=sk_c6|~sQ4_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.40 fof(f99,plain,(
% 0.14/0.40 ~inverse(sk_c8)=sk_c6|sQ4_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.40 fof(f100,plain,(
% 0.14/0.40 sQ0_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.14/0.40 fof(f101,definition,(
% 0.14/0.40 sQ5_spl <=> (multiply(sk_c5,sk_c7)=sk_c6)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f102,plain,(
% 0.14/0.40 multiply(sk_c5,sk_c7)=sk_c6|~sQ5_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.40 fof(f104,plain,(
% 0.14/0.40 sQ0_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.14/0.40 fof(f105,definition,(
% 0.14/0.40 sQ6_spl <=> (inverse(sk_c5)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f106,plain,(
% 0.14/0.40 inverse(sk_c5)=sk_c7|~sQ6_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.40 fof(f108,plain,(
% 0.14/0.40 sQ0_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.14/0.40 fof(f109,definition,(
% 0.14/0.40 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f110,plain,(
% 0.14/0.40 multiply(sk_c1,sk_c7)=sk_c8|~sQ7_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.40 fof(f112,plain,(
% 0.14/0.40 sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.14/0.40 fof(f113,plain,(
% 0.14/0.40 sQ7_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.14/0.40 fof(f114,plain,(
% 0.14/0.40 sQ7_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.14/0.40 fof(f115,plain,(
% 0.14/0.40 sQ7_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.14/0.40 fof(f116,plain,(
% 0.14/0.40 sQ7_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.14/0.40 fof(f117,plain,(
% 0.14/0.40 sQ7_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.14/0.40 fof(f118,definition,(
% 0.14/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f119,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c7|~sQ8_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f118])).
% 0.14/0.40 fof(f121,plain,(
% 0.14/0.40 sQ8_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.14/0.40 fof(f122,plain,(
% 0.14/0.40 sQ8_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.14/0.40 fof(f123,plain,(
% 0.14/0.40 sQ8_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.14/0.40 fof(f124,plain,(
% 0.14/0.40 sQ8_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.14/0.40 fof(f125,plain,(
% 0.14/0.40 sQ8_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.14/0.40 fof(f126,plain,(
% 0.14/0.40 sQ8_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.14/0.40 fof(f127,definition,(
% 0.14/0.40 sQ9_spl <=> (multiply(sk_c8,sk_c3)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f128,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c7|~sQ9_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f127])).
% 0.14/0.40 fof(f130,plain,(
% 0.14/0.40 sQ9_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.14/0.40 fof(f131,plain,(
% 0.14/0.40 sQ9_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.14/0.40 fof(f132,plain,(
% 0.14/0.40 sQ9_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.14/0.40 fof(f133,plain,(
% 0.14/0.40 sQ9_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.14/0.40 fof(f134,plain,(
% 0.14/0.40 sQ9_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.14/0.40 fof(f135,plain,(
% 0.14/0.40 sQ9_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.14/0.40 fof(f136,definition,(
% 0.14/0.40 sQ10_spl <=> (multiply(sk_c2,sk_c8)=sk_c3)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f137,plain,(
% 0.14/0.40 multiply(sk_c2,sk_c8)=sk_c3|~sQ10_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.40 fof(f139,plain,(
% 0.14/0.40 sQ10_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.14/0.40 fof(f140,plain,(
% 0.14/0.40 sQ10_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.14/0.40 fof(f141,plain,(
% 0.14/0.40 sQ10_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.14/0.40 fof(f142,plain,(
% 0.14/0.40 sQ10_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.14/0.40 fof(f143,plain,(
% 0.14/0.40 sQ10_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.14/0.40 fof(f144,plain,(
% 0.14/0.40 sQ10_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.14/0.40 fof(f145,definition,(
% 0.14/0.40 sQ11_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f146,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c8|~sQ11_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f145])).
% 0.14/0.40 fof(f148,plain,(
% 0.14/0.40 sQ11_spl|sQ1_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.14/0.40 fof(f149,plain,(
% 0.14/0.40 sQ11_spl|sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.14/0.40 fof(f150,plain,(
% 0.14/0.40 sQ11_spl|sQ3_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.14/0.40 fof(f151,plain,(
% 0.14/0.40 sQ11_spl|sQ4_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.14/0.40 fof(f152,plain,(
% 0.14/0.40 sQ11_spl|sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.14/0.40 fof(f153,plain,(
% 0.14/0.40 sQ11_spl|sQ6_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.14/0.40 fof(f154,definition,(
% 0.14/0.40 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f155,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f154])).
% 0.14/0.40 fof(f157,definition,(
% 0.14/0.40 ![X1,X2]: (sQ13_spl <=> (~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f158,plain,(
% 0.14/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f157])).
% 0.14/0.40 fof(f160,definition,(
% 0.14/0.40 ![X3]: (sQ14_spl <=> (~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f161,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f160])).
% 0.14/0.40 fof(f163,definition,(
% 0.14/0.40 ![X4]: (sQ15_spl <=> (~multiply(X4,sk_c7)=sk_c6|~inverse(X4)=sk_c7))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f164,plain,(
% 0.14/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ15_spl)),
% 0.14/0.40 inference(component_clause,[status(thm)],[f163])).
% 0.14/0.40 fof(f166,plain,(
% 0.14/0.40 ~sQ0_spl|sQ12_spl|sQ13_spl|~sQ1_spl|sQ14_spl|~sQ4_spl|sQ15_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f81,f82,f154,f157,f85,f160,f97,f163])).
% 0.14/0.40 fof(f167,plain,(
% 0.14/0.40 ~inverse(sk_c5)=sk_c7|~sQ15_spl|~sQ5_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f164,f102])).
% 0.14/0.40 fof(f169,plain,(
% 0.14/0.40 ~sk_c8=sk_c6|~inverse(sk_c1)=sk_c7|~sQ15_spl|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f110,f164])).
% 0.14/0.40 fof(f170,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f106,f167])).
% 0.14/0.40 fof(f171,plain,(
% 0.14/0.40 $false|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f170])).
% 0.14/0.40 fof(f172,plain,(
% 0.14/0.40 ~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f171])).
% 0.14/0.40 fof(f173,plain,(
% 0.14/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f158])).
% 0.14/0.40 fof(f174,plain,(
% 0.14/0.40 ~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ2_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f161,f90])).
% 0.14/0.40 fof(f175,plain,(
% 0.14/0.40 ~sk_c6=sk_c7|~inverse(sk_c7)=sk_c8|~sQ14_spl|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f83,f161])).
% 0.14/0.40 fof(f177,plain,(
% 0.14/0.40 ~sk_c3=sk_c7|~inverse(sk_c2)=sk_c8|~sQ14_spl|~sQ10_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f137,f161])).
% 0.14/0.40 fof(f178,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f94,f174])).
% 0.14/0.40 fof(f179,plain,(
% 0.14/0.40 $false|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f178])).
% 0.14/0.40 fof(f180,plain,(
% 0.14/0.40 ~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f179])).
% 0.14/0.40 fof(f181,plain,(
% 0.14/0.40 ~inverse(sk_c1)=sk_c7|~sQ12_spl|~sQ7_spl),
% 0.14/0.40 inference(resolution,[status(thm)],[f155,f110])).
% 0.14/0.40 fof(f182,plain,(
% 0.14/0.40 ~sk_c6=sk_c8|~inverse(sk_c5)=sk_c7|~sQ12_spl|~sQ5_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f102,f155])).
% 0.14/0.40 fof(f184,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f119,f181])).
% 0.14/0.40 fof(f185,plain,(
% 0.14/0.40 $false|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f184])).
% 0.14/0.40 fof(f186,plain,(
% 0.14/0.40 ~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f185])).
% 0.14/0.40 fof(f189,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c5,multiply(sk_c7,X0))|~sQ5_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f102,f43])).
% 0.14/0.40 fof(f195,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ13_spl|~sQ2_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f90,f173])).
% 0.14/0.40 fof(f196,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c8|~sQ13_spl|~sQ10_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f137,f173])).
% 0.14/0.40 fof(f197,definition,(
% 0.14/0.40 sQ16_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f199,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|sQ16_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f197])).
% 0.14/0.40 fof(f200,plain,(
% 0.14/0.40 ~sQ16_spl|~sQ3_spl|~sQ13_spl|~sQ2_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f195,f197,f93,f157,f89])).
% 0.14/0.40 fof(f201,plain,(
% 0.14/0.40 ~sQ9_spl|~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f196,f127,f145,f157,f136])).
% 0.14/0.40 fof(f211,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c5)=identity|~sQ6_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f106,f42])).
% 0.14/0.40 fof(f212,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c8)=identity|~sQ4_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f98,f42])).
% 0.14/0.40 fof(f214,plain,(
% 0.14/0.40 multiply(sk_c7,sk_c1)=identity|~sQ8_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f119,f42])).
% 0.14/0.40 fof(f216,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.14/0.40 fof(f217,plain,(
% 0.14/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f41,f216])).
% 0.14/0.40 fof(f219,plain,(
% 0.14/0.40 ~sk_c6=sk_c7|~sQ1_spl|sQ16_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f86,f199])).
% 0.14/0.40 fof(f220,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c5,X0))|~sQ6_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f211,f43])).
% 0.14/0.40 fof(f221,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c7,multiply(sk_c5,X0))|~sQ6_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f41,f220])).
% 0.14/0.40 fof(f222,plain,(
% 0.14/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c8,X0))|~sQ4_spl)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f212,f43])).
% 0.14/0.40 fof(f223,plain,(
% 0.14/0.40 ![X0]: (X0=multiply(sk_c6,multiply(sk_c8,X0))|~sQ4_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f41,f222])).
% 0.14/0.40 fof(f248,plain,(
% 0.14/0.40 sk_c7=multiply(sk_c7,sk_c6)|~sQ6_spl|~sQ5_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f102,f221])).
% 0.14/0.40 fof(f252,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c6)=multiply(sk_c5,sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f248,f189])).
% 0.14/0.40 fof(f254,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c6)=sk_c6|~sQ6_spl|~sQ5_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f102,f252])).
% 0.14/0.40 fof(f258,plain,(
% 0.14/0.40 sk_c7=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ1_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f86,f223])).
% 0.14/0.40 fof(f260,plain,(
% 0.14/0.40 sk_c7=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f254,f258])).
% 0.14/0.40 fof(f261,plain,(
% 0.14/0.40 $false|sQ16_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f260,f219])).
% 0.14/0.40 fof(f262,plain,(
% 0.14/0.40 sQ16_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f261])).
% 0.14/0.40 fof(f283,plain,(
% 0.14/0.40 ~multiply(sk_c6,sk_c8)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f260,f84])).
% 0.14/0.40 fof(f293,plain,(
% 0.14/0.40 ~identity=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f212,f283])).
% 0.14/0.40 fof(f350,definition,(
% 0.14/0.40 sQ19_spl <=> (sk_c8=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f352,plain,(
% 0.14/0.40 ~sk_c8=sk_c8|sQ19_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f350])).
% 0.14/0.40 fof(f358,definition,(
% 0.14/0.40 sQ20_spl <=> (sk_c6=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f359,plain,(
% 0.14/0.40 sk_c6=sk_c8|~sQ20_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f358])).
% 0.14/0.40 fof(f360,plain,(
% 0.14/0.40 ~sk_c6=sk_c8|sQ20_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f358])).
% 0.14/0.40 fof(f361,plain,(
% 0.14/0.40 ~sQ20_spl|~sQ6_spl|~sQ12_spl|~sQ5_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f182,f358,f105,f154,f101])).
% 0.14/0.40 fof(f380,plain,(
% 0.14/0.40 $false|sQ19_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f352])).
% 0.14/0.40 fof(f381,plain,(
% 0.14/0.40 sQ19_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f380])).
% 0.14/0.40 fof(f382,definition,(
% 0.14/0.40 sQ21_spl <=> (sk_c6=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f384,plain,(
% 0.14/0.40 ~sk_c6=sk_c7|sQ21_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f382])).
% 0.14/0.40 fof(f385,definition,(
% 0.14/0.40 sQ22_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f386,plain,(
% 0.14/0.40 inverse(sk_c7)=sk_c8|~sQ22_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f385])).
% 0.14/0.40 fof(f387,plain,(
% 0.14/0.40 ~inverse(sk_c7)=sk_c8|sQ22_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f385])).
% 0.14/0.40 fof(f388,plain,(
% 0.14/0.40 ~sQ21_spl|~sQ22_spl|~sQ14_spl|~sQ0_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f175,f382,f385,f160,f82])).
% 0.14/0.40 fof(f389,definition,(
% 0.14/0.40 sQ23_spl <=> (sk_c7=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f391,plain,(
% 0.14/0.40 ~sk_c7=sk_c7|sQ23_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f389])).
% 0.14/0.40 fof(f393,definition,(
% 0.14/0.40 sQ24_spl <=> (sk_c3=sk_c7)),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.40 fof(f394,plain,(
% 0.14/0.40 sk_c3=sk_c7|~sQ24_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f393])).
% 0.14/0.40 fof(f395,plain,(
% 0.14/0.40 ~sk_c3=sk_c7|sQ24_spl),
% 0.14/0.40 inference(component_clause,[status(thm)],[f393])).
% 0.14/0.40 fof(f396,plain,(
% 0.14/0.40 ~sQ24_spl|~sQ11_spl|~sQ14_spl|~sQ10_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f177,f393,f145,f160,f136])).
% 0.14/0.40 fof(f397,plain,(
% 0.14/0.40 $false|sQ23_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f391])).
% 0.14/0.40 fof(f398,plain,(
% 0.14/0.40 sQ23_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f397])).
% 0.14/0.40 fof(f420,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c4),sk_c7)|~sQ2_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f90,f217])).
% 0.14/0.40 fof(f430,plain,(
% 0.14/0.40 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ7_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f110,f217])).
% 0.14/0.40 fof(f432,plain,(
% 0.14/0.40 sk_c8=multiply(inverse(sk_c2),sk_c3)|~sQ10_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f137,f217])).
% 0.14/0.40 fof(f434,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f94,f420])).
% 0.14/0.40 fof(f435,plain,(
% 0.14/0.40 sk_c8=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f86,f434])).
% 0.14/0.40 fof(f436,plain,(
% 0.14/0.40 sk_c7=multiply(sk_c7,sk_c8)|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f119,f430])).
% 0.14/0.40 fof(f437,plain,(
% 0.14/0.40 sk_c7=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f83,f436])).
% 0.14/0.40 fof(f438,plain,(
% 0.14/0.40 $false|sQ21_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f437,f384])).
% 0.14/0.40 fof(f439,plain,(
% 0.14/0.40 sQ21_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f438])).
% 0.14/0.40 fof(f440,plain,(
% 0.14/0.40 sk_c8=multiply(sk_c8,sk_c3)|~sQ11_spl|~sQ10_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f146,f432])).
% 0.14/0.40 fof(f458,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c1)=identity|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f437,f214])).
% 0.14/0.40 fof(f460,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f437,f119])).
% 0.14/0.40 fof(f461,plain,(
% 0.14/0.40 ~sk_c3=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ24_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f437,f395])).
% 0.14/0.40 fof(f479,plain,(
% 0.14/0.40 multiply(sk_c8,sk_c3)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f437,f128])).
% 0.14/0.40 fof(f481,plain,(
% 0.14/0.40 ~inverse(sk_c6)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ22_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f437,f387])).
% 0.14/0.40 fof(f483,plain,(
% 0.14/0.40 ~multiply(sk_c8,sk_c6)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f437,f87])).
% 0.14/0.40 fof(f507,plain,(
% 0.14/0.40 sk_c8=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f479,f440])).
% 0.14/0.40 fof(f515,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c3)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f507,f479])).
% 0.14/0.40 fof(f516,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f507,f146])).
% 0.14/0.40 fof(f518,plain,(
% 0.14/0.40 ~inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ22_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f507,f481])).
% 0.14/0.40 fof(f550,plain,(
% 0.14/0.40 ~inverse(sk_c6)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f507,f99])).
% 0.14/0.40 fof(f560,plain,(
% 0.14/0.40 sk_c3=sk_c6|~sQ24_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f394,f437])).
% 0.14/0.40 fof(f561,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c3|~sQ24_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f560,f516])).
% 0.14/0.40 fof(f564,plain,(
% 0.14/0.40 inverse(sk_c1)=sk_c3|~sQ24_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f560,f460])).
% 0.14/0.40 fof(f567,plain,(
% 0.14/0.40 ~inverse(sk_c3)=sk_c6|~sQ24_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ22_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f560,f518])).
% 0.14/0.40 fof(f568,plain,(
% 0.14/0.40 ~inverse(sk_c3)=sk_c3|~sQ24_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ22_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f560,f567])).
% 0.14/0.40 fof(f600,plain,(
% 0.14/0.40 sk_c3=multiply(inverse(sk_c6),sk_c6)|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f515,f217])).
% 0.14/0.40 fof(f602,plain,(
% 0.14/0.40 sk_c3=identity|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f42,f600])).
% 0.14/0.40 fof(f603,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f602,f42])).
% 0.14/0.40 fof(f604,plain,(
% 0.14/0.40 ![X0]: (multiply(sk_c3,X0)=X0|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f602,f41])).
% 0.14/0.40 fof(f612,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c1)=sk_c3|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f602,f458])).
% 0.14/0.40 fof(f693,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c2)=sk_c3|~sQ24_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f561,f603])).
% 0.14/0.40 fof(f695,plain,(
% 0.14/0.40 sk_c2=sk_c3|~sQ24_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f604,f693])).
% 0.14/0.40 fof(f705,plain,(
% 0.14/0.40 multiply(sk_c3,sk_c1)=sk_c3|~sQ24_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f560,f612])).
% 0.14/0.40 fof(f717,plain,(
% 0.14/0.40 sk_c1=sk_c3|~sQ24_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f604,f705])).
% 0.14/0.40 fof(f733,plain,(
% 0.14/0.40 sk_c1=sk_c2|~sQ24_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f695,f717])).
% 0.14/0.40 fof(f739,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c3|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ24_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f733,f564])).
% 0.14/0.40 fof(f740,plain,(
% 0.14/0.40 inverse(sk_c2)=sk_c2|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ24_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f695,f739])).
% 0.14/0.40 fof(f742,plain,(
% 0.14/0.40 ~inverse(sk_c2)=sk_c3|~sQ24_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ22_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f695,f568])).
% 0.14/0.40 fof(f743,plain,(
% 0.14/0.40 ~sk_c2=sk_c3|~sQ24_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ22_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f740,f742])).
% 0.14/0.40 fof(f744,plain,(
% 0.14/0.40 ~sk_c2=sk_c2|~sQ24_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ22_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f695,f743])).
% 0.14/0.40 fof(f745,plain,(
% 0.14/0.40 $false|~sQ24_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ22_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f744])).
% 0.14/0.40 fof(f746,plain,(
% 0.14/0.40 ~sQ24_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ22_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f745])).
% 0.14/0.40 fof(f747,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ20_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f435,f360])).
% 0.14/0.40 fof(f748,plain,(
% 0.14/0.40 $false|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ20_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f747])).
% 0.14/0.40 fof(f749,plain,(
% 0.14/0.40 ~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ20_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f748])).
% 0.14/0.40 fof(f751,plain,(
% 0.14/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f602,f42])).
% 0.14/0.40 fof(f766,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c8)=sk_c6|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f437,f83])).
% 0.14/0.40 fof(f767,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c6)=sk_c6|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f507,f766])).
% 0.14/0.40 fof(f768,plain,(
% 0.14/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f767,f217])).
% 0.14/0.40 fof(f770,plain,(
% 0.14/0.40 sk_c6=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f751,f768])).
% 0.14/0.40 fof(f771,plain,(
% 0.14/0.40 $false|sQ24_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f770,f461])).
% 0.14/0.40 fof(f772,plain,(
% 0.14/0.40 sQ24_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f771])).
% 0.14/0.40 fof(f826,plain,(
% 0.14/0.40 inverse(sk_c6)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ22_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f437,f386])).
% 0.14/0.40 fof(f827,plain,(
% 0.14/0.40 inverse(sk_c6)=sk_c6|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ22_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f507,f826])).
% 0.14/0.40 fof(f828,plain,(
% 0.14/0.40 $false|sQ4_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ22_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f827,f550])).
% 0.14/0.40 fof(f829,plain,(
% 0.14/0.40 sQ4_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ22_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f828])).
% 0.14/0.40 fof(f843,plain,(
% 0.14/0.40 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f507,f483])).
% 0.14/0.40 fof(f844,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f767,f843])).
% 0.14/0.40 fof(f845,plain,(
% 0.14/0.40 $false|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f844])).
% 0.14/0.40 fof(f846,plain,(
% 0.14/0.40 ~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f845])).
% 0.14/0.40 fof(f855,plain,(
% 0.14/0.40 ~sQ20_spl|~sQ8_spl|~sQ15_spl|~sQ7_spl),
% 0.14/0.40 inference(split_clause,[status(thm)],[f169,f358,f118,f163,f109])).
% 0.14/0.40 fof(f857,plain,(
% 0.14/0.40 ~sk_c6=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ20_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f507,f360])).
% 0.14/0.40 fof(f858,plain,(
% 0.14/0.40 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ20_spl),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f857])).
% 0.14/0.40 fof(f859,plain,(
% 0.14/0.40 ~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ20_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f858])).
% 0.14/0.40 fof(f871,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c7)=sk_c6|~sQ20_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f359,f86])).
% 0.14/0.40 fof(f872,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c6)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ20_spl|~sQ1_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f260,f871])).
% 0.14/0.40 fof(f884,plain,(
% 0.14/0.40 multiply(sk_c6,sk_c6)=identity|~sQ20_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f359,f212])).
% 0.14/0.40 fof(f885,plain,(
% 0.14/0.40 sk_c6=identity|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ20_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f872,f884])).
% 0.14/0.40 fof(f886,plain,(
% 0.14/0.40 $false|sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ20_spl|~sQ4_spl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f885,f293])).
% 0.14/0.40 fof(f887,plain,(
% 0.14/0.40 sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ20_spl|~sQ4_spl),
% 0.14/0.40 inference(contradiction_clause,[status(thm)],[f886])).
% 0.14/0.40 fof(f888,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f166,f172,f180,f186,f200,f201,f262,f361,f381,f388,f396,f398,f439,f746,f749,f772,f829,f846,f855,f859,f887])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.046118 seconds
% 0.14/0.42 % CPU time: 0.127808 seconds
% 0.14/0.42 % Total memory used: 26.843 MB
% 0.14/0.42 % Net memory used: 26.808 MB
%------------------------------------------------------------------------------