%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP354-1 : 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 : n015.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 12:36:30 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP354-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 20:13:51 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f3,axiom,(
% 0.12/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c8,sk_c7) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c8,sk_c7) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f6,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c8,sk_c7) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f7,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c8,sk_c7) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f8,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c8,sk_c7) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c8,sk_c7) = sk_c9| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f10,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c8,sk_c7) = sk_c9| inverse(sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f11,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c8,sk_c7) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f12,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f13,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f14,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f15,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f17,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f18,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f19,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f20,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f21,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f22,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f23,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f24,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f25,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f26,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f27,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f28,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c9) = sk_c7| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f29,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c9) = sk_c7| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f30,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c9) = sk_c7| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f33,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c9) = sk_c7| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f34,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c9) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f35,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c9) = sk_c7| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f37,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f39,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f40,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f41,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f42,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f43,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f45,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f47,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f48,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f49,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f50,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f51,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f52,negated_conjecture,(
% 0.12/0.40 (![X3,X4,X1,X2,X5,X6]: (( multiply(sk_c8,sk_c7) != sk_c9| multiply(X3,sk_c9) != sk_c8| inverse(X3) != sk_c9| inverse(sk_c9) != sk_c7| multiply(X4,sk_c7) != sk_c8| inverse(X4) != sk_c7| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(sk_c9,sk_c7) != sk_c8| inverse(X2) != sk_c9| multiply(X2,sk_c8) != sk_c9| multiply(X5,X6) != sk_c8| inverse(X5) != X6| multiply(X6,sk_c7) != sk_c8 ) ))),
% 0.12/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f53,plain,(
% 0.12/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.40 fof(f54,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.40 fof(f55,plain,(
% 0.12/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.40 fof(f56,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c7)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.40 fof(f57,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c7)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.40 fof(f58,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c7)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.40 fof(f59,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c7)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.40 fof(f60,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c7)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.40 fof(f61,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c7)=sk_c9|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f62,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c7)=sk_c9|inverse(sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.40 fof(f63,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c7)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.40 fof(f64,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.40 fof(f65,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.40 fof(f66,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f67,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.40 fof(f68,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.40 fof(f69,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.40 fof(f70,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.40 fof(f71,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c6,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.40 fof(f72,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.40 fof(f73,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.40 fof(f74,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.40 fof(f75,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.40 fof(f76,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.40 fof(f77,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.40 fof(f78,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.40 fof(f79,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.40 fof(f80,plain,(
% 0.12/0.40 inverse(sk_c9)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.40 fof(f81,plain,(
% 0.12/0.40 inverse(sk_c9)=sk_c7|inverse(sk_c3)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.40 fof(f82,plain,(
% 0.12/0.40 inverse(sk_c9)=sk_c7|multiply(sk_c9,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.40 fof(f85,plain,(
% 0.12/0.40 inverse(sk_c9)=sk_c7|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.40 fof(f86,plain,(
% 0.12/0.40 inverse(sk_c9)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.40 fof(f87,plain,(
% 0.12/0.40 inverse(sk_c9)=sk_c7|multiply(sk_c6,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.40 fof(f89,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.40 fof(f91,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.12/0.40 fof(f92,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.40 fof(f93,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.12/0.40 fof(f94,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/0.40 fof(f95,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c6,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.12/0.40 fof(f97,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.12/0.40 fof(f99,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f47])).
% 0.12/0.40 fof(f100,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.12/0.40 fof(f101,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f49])).
% 0.12/0.40 fof(f102,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.12/0.40 fof(f103,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c6,sk_c7)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f51])).
% 0.12/0.40 fof(f104,plain,(
% 0.12/0.40 ![X6]: ((![X5]: (((![X2]: ((((![X1]: (((![X4]: ((((![X3]: ((~multiply(sk_c8,sk_c7)=sk_c9|~multiply(X3,sk_c9)=sk_c8)|~inverse(X3)=sk_c9))|~inverse(sk_c9)=sk_c7)|~multiply(X4,sk_c7)=sk_c8)|~inverse(X4)=sk_c7))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(sk_c9,sk_c7)=sk_c8)|~inverse(X2)=sk_c9)|~multiply(X2,sk_c8)=sk_c9))|~multiply(X5,X6)=sk_c8)|~inverse(X5)=X6))|~multiply(X6,sk_c7)=sk_c8)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f52])).
% 0.12/0.40 fof(f105,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c8,sk_c7)=sk_c9|~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~inverse(sk_c9)=sk_c7|~multiply(X1,sk_c7)=sk_c8|~inverse(X1)=sk_c7|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(sk_c9,sk_c7)=sk_c8|~inverse(X3)=sk_c9|~multiply(X3,sk_c8)=sk_c9|~multiply(X4,X5)=sk_c8|~inverse(X4)=X5|~multiply(X5,sk_c7)=sk_c8)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f104])).
% 0.12/0.40 fof(f106,definition,(
% 0.12/0.40 sQ0_spl <=> (multiply(sk_c8,sk_c7)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f107,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c7)=sk_c9|~sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.12/0.40 fof(f108,plain,(
% 0.12/0.40 ~multiply(sk_c8,sk_c7)=sk_c9|sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f106])).
% 0.12/0.40 fof(f109,definition,(
% 0.12/0.40 sQ1_spl <=> (multiply(sk_c3,sk_c9)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f110,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c9)=sk_c8|~sQ1_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.12/0.40 fof(f112,plain,(
% 0.12/0.40 sQ0_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f56,f106,f109])).
% 0.12/0.40 fof(f113,definition,(
% 0.12/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f114,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c9|~sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f113])).
% 0.12/0.40 fof(f116,plain,(
% 0.12/0.40 sQ0_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f57,f106,f113])).
% 0.12/0.40 fof(f117,definition,(
% 0.12/0.40 sQ3_spl <=> (multiply(sk_c9,sk_c7)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f118,plain,(
% 0.12/0.40 multiply(sk_c9,sk_c7)=sk_c8|~sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.40 fof(f119,plain,(
% 0.12/0.40 ~multiply(sk_c9,sk_c7)=sk_c8|sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.40 fof(f120,plain,(
% 0.12/0.40 sQ0_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f58,f106,f117])).
% 0.12/0.40 fof(f121,definition,(
% 0.12/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f122,plain,(
% 0.12/0.40 inverse(sk_c4)=sk_c9|~sQ4_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.12/0.40 fof(f124,plain,(
% 0.12/0.40 sQ0_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f59,f106,f121])).
% 0.12/0.40 fof(f125,definition,(
% 0.12/0.40 sQ5_spl <=> (multiply(sk_c4,sk_c8)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f126,plain,(
% 0.12/0.40 multiply(sk_c4,sk_c8)=sk_c9|~sQ5_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f125])).
% 0.12/0.40 fof(f128,plain,(
% 0.12/0.40 sQ0_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f60,f106,f125])).
% 0.12/0.40 fof(f129,definition,(
% 0.12/0.40 sQ6_spl <=> (multiply(sk_c5,sk_c6)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f130,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c6)=sk_c8|~sQ6_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f129])).
% 0.12/0.40 fof(f132,plain,(
% 0.12/0.40 sQ0_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f61,f106,f129])).
% 0.12/0.40 fof(f133,definition,(
% 0.12/0.40 sQ7_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f134,plain,(
% 0.12/0.40 inverse(sk_c5)=sk_c6|~sQ7_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f133])).
% 0.12/0.40 fof(f136,plain,(
% 0.12/0.40 sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f62,f106,f133])).
% 0.12/0.40 fof(f137,definition,(
% 0.12/0.40 sQ8_spl <=> (multiply(sk_c6,sk_c7)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f138,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c7)=sk_c8|~sQ8_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f137])).
% 0.12/0.40 fof(f140,plain,(
% 0.12/0.40 sQ0_spl|sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f63,f106,f137])).
% 0.12/0.40 fof(f141,definition,(
% 0.12/0.40 sQ9_spl <=> (multiply(sk_c1,sk_c9)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f142,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c8|~sQ9_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f141])).
% 0.12/0.40 fof(f144,plain,(
% 0.12/0.40 sQ9_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f64,f141,f109])).
% 0.12/0.40 fof(f145,plain,(
% 0.12/0.40 sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f65,f141,f113])).
% 0.12/0.40 fof(f146,plain,(
% 0.12/0.40 sQ9_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f66,f141,f117])).
% 0.12/0.40 fof(f147,plain,(
% 0.12/0.40 sQ9_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f67,f141,f121])).
% 0.12/0.40 fof(f148,plain,(
% 0.12/0.40 sQ9_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f68,f141,f125])).
% 0.12/0.40 fof(f149,plain,(
% 0.12/0.40 sQ9_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f69,f141,f129])).
% 0.12/0.40 fof(f150,plain,(
% 0.12/0.40 sQ9_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f70,f141,f133])).
% 0.12/0.40 fof(f151,plain,(
% 0.12/0.40 sQ9_spl|sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f71,f141,f137])).
% 0.12/0.40 fof(f152,definition,(
% 0.12/0.40 sQ10_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f153,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|~sQ10_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f152])).
% 0.12/0.40 fof(f155,plain,(
% 0.12/0.40 sQ10_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f72,f152,f109])).
% 0.12/0.40 fof(f156,plain,(
% 0.12/0.40 sQ10_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f73,f152,f113])).
% 0.12/0.40 fof(f157,plain,(
% 0.12/0.40 sQ10_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f74,f152,f117])).
% 0.12/0.40 fof(f158,plain,(
% 0.12/0.40 sQ10_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f75,f152,f121])).
% 0.12/0.40 fof(f159,plain,(
% 0.12/0.40 sQ10_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f76,f152,f125])).
% 0.12/0.40 fof(f160,plain,(
% 0.12/0.40 sQ10_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f77,f152,f129])).
% 0.12/0.40 fof(f161,plain,(
% 0.12/0.40 sQ10_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f78,f152,f133])).
% 0.12/0.40 fof(f162,plain,(
% 0.12/0.40 sQ10_spl|sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f79,f152,f137])).
% 0.12/0.40 fof(f163,definition,(
% 0.12/0.40 sQ11_spl <=> (inverse(sk_c9)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f164,plain,(
% 0.12/0.40 inverse(sk_c9)=sk_c7|~sQ11_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f163])).
% 0.12/0.40 fof(f165,plain,(
% 0.12/0.40 ~inverse(sk_c9)=sk_c7|sQ11_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f163])).
% 0.12/0.40 fof(f166,plain,(
% 0.12/0.40 sQ11_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f80,f163,f109])).
% 0.12/0.40 fof(f167,plain,(
% 0.12/0.40 sQ11_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f81,f163,f113])).
% 0.12/0.40 fof(f168,plain,(
% 0.12/0.40 sQ11_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f82,f163,f117])).
% 0.12/0.40 fof(f171,plain,(
% 0.12/0.40 sQ11_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f85,f163,f129])).
% 0.12/0.40 fof(f172,plain,(
% 0.12/0.40 sQ11_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f86,f163,f133])).
% 0.12/0.40 fof(f173,plain,(
% 0.12/0.40 sQ11_spl|sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f87,f163,f137])).
% 0.12/0.40 fof(f174,definition,(
% 0.12/0.40 sQ12_spl <=> (multiply(sk_c2,sk_c7)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f175,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c7)=sk_c8|~sQ12_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f174])).
% 0.12/0.40 fof(f178,plain,(
% 0.12/0.40 sQ12_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f89,f174,f113])).
% 0.12/0.40 fof(f180,plain,(
% 0.12/0.40 sQ12_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f91,f174,f121])).
% 0.12/0.40 fof(f181,plain,(
% 0.12/0.40 sQ12_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f92,f174,f125])).
% 0.12/0.40 fof(f182,plain,(
% 0.12/0.40 sQ12_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f93,f174,f129])).
% 0.12/0.40 fof(f183,plain,(
% 0.12/0.40 sQ12_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f94,f174,f133])).
% 0.12/0.40 fof(f184,plain,(
% 0.12/0.40 sQ12_spl|sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f95,f174,f137])).
% 0.12/0.40 fof(f185,definition,(
% 0.12/0.40 sQ13_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f186,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c7|~sQ13_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f185])).
% 0.12/0.40 fof(f189,plain,(
% 0.12/0.40 sQ13_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f97,f185,f113])).
% 0.12/0.40 fof(f191,plain,(
% 0.12/0.40 sQ13_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f99,f185,f121])).
% 0.12/0.40 fof(f192,plain,(
% 0.12/0.40 sQ13_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f100,f185,f125])).
% 0.12/0.40 fof(f193,plain,(
% 0.12/0.40 sQ13_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f101,f185,f129])).
% 0.12/0.40 fof(f194,plain,(
% 0.12/0.40 sQ13_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f102,f185,f133])).
% 0.12/0.40 fof(f195,plain,(
% 0.12/0.40 sQ13_spl|sQ8_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f103,f185,f137])).
% 0.12/0.40 fof(f196,definition,(
% 0.12/0.40 ![X0]: (sQ14_spl <=> (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f197,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f196])).
% 0.12/0.40 fof(f199,definition,(
% 0.12/0.40 ![X1]: (sQ15_spl <=> (~multiply(X1,sk_c7)=sk_c8|~inverse(X1)=sk_c7))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f200,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ15_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f199])).
% 0.12/0.40 fof(f202,definition,(
% 0.12/0.40 ![X3]: (sQ16_spl <=> (~inverse(X3)=sk_c9|~multiply(X3,sk_c8)=sk_c9))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f203,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ16_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f202])).
% 0.12/0.40 fof(f205,definition,(
% 0.12/0.40 ![X4,X5]: (sQ17_spl <=> (~multiply(X4,X5)=sk_c8|~inverse(X4)=X5|~multiply(X5,sk_c7)=sk_c8))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f206,plain,(
% 0.12/0.40 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ17_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f205])).
% 0.12/0.40 fof(f208,plain,(
% 0.12/0.40 ~sQ0_spl|sQ14_spl|~sQ11_spl|sQ15_spl|~sQ3_spl|sQ16_spl|sQ17_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f105,f106,f196,f163,f199,f117,f202,f205])).
% 0.12/0.40 fof(f209,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ17_spl)),
% 0.12/0.40 inference(destructive_equality_resolution,[status(thm)],[f206])).
% 0.12/0.40 fof(f212,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c3,multiply(sk_c9,X0))|~sQ1_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f110,f55])).
% 0.12/0.40 fof(f214,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ6_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f130,f55])).
% 0.12/0.40 fof(f226,plain,(
% 0.12/0.40 ~multiply(sk_c9,inverse(sk_c9))=sk_c8|~multiply(sk_c7,sk_c7)=sk_c8|~sQ17_spl|~sQ11_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f164,f209])).
% 0.12/0.40 fof(f227,plain,(
% 0.12/0.40 ~multiply(sk_c3,inverse(sk_c3))=sk_c8|~multiply(sk_c9,sk_c7)=sk_c8|~sQ17_spl|~sQ2_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f114,f209])).
% 0.12/0.40 fof(f229,plain,(
% 0.12/0.40 ~multiply(sk_c5,inverse(sk_c5))=sk_c8|~multiply(sk_c6,sk_c7)=sk_c8|~sQ17_spl|~sQ7_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f134,f209])).
% 0.12/0.40 fof(f230,plain,(
% 0.12/0.40 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c9,sk_c7)=sk_c8|~sQ17_spl|~sQ10_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f153,f209])).
% 0.12/0.41 fof(f231,plain,(
% 0.12/0.41 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|~multiply(sk_c7,sk_c7)=sk_c8|~sQ17_spl|~sQ13_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f186,f209])).
% 0.12/0.41 fof(f232,definition,(
% 0.12/0.41 sQ18_spl <=> (multiply(sk_c9,inverse(sk_c9))=sk_c8)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f235,definition,(
% 0.12/0.41 sQ19_spl <=> (multiply(sk_c7,sk_c7)=sk_c8)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f237,plain,(
% 0.12/0.41 ~multiply(sk_c7,sk_c7)=sk_c8|sQ19_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f235])).
% 0.12/0.41 fof(f238,plain,(
% 0.12/0.41 ~sQ18_spl|~sQ19_spl|~sQ17_spl|~sQ11_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f226,f232,f235,f205,f163])).
% 0.12/0.41 fof(f239,definition,(
% 0.12/0.41 sQ20_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c8)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f242,plain,(
% 0.12/0.41 ~sQ20_spl|~sQ3_spl|~sQ17_spl|~sQ2_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f227,f239,f117,f205,f113])).
% 0.12/0.41 fof(f247,definition,(
% 0.12/0.41 sQ22_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c8)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f249,plain,(
% 0.12/0.41 ~multiply(sk_c5,inverse(sk_c5))=sk_c8|sQ22_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f247])).
% 0.12/0.41 fof(f250,plain,(
% 0.12/0.41 ~sQ22_spl|~sQ8_spl|~sQ17_spl|~sQ7_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f229,f247,f137,f205,f133])).
% 0.12/0.41 fof(f251,definition,(
% 0.12/0.41 sQ23_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c8)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f254,plain,(
% 0.12/0.41 ~sQ23_spl|~sQ3_spl|~sQ17_spl|~sQ10_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f230,f251,f117,f205,f152])).
% 0.12/0.41 fof(f255,definition,(
% 0.12/0.41 sQ24_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c8)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f257,plain,(
% 0.12/0.41 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|sQ24_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f255])).
% 0.12/0.41 fof(f258,plain,(
% 0.12/0.41 ~sQ24_spl|~sQ19_spl|~sQ17_spl|~sQ13_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f231,f255,f235,f205,f185])).
% 0.12/0.41 fof(f259,plain,(
% 0.12/0.41 ~multiply(sk_c2,sk_c7)=sk_c8|~sQ13_spl|sQ24_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f186,f257])).
% 0.12/0.41 fof(f260,plain,(
% 0.12/0.41 ~sk_c8=sk_c8|~sQ12_spl|~sQ13_spl|sQ24_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f175,f259])).
% 0.12/0.41 fof(f261,plain,(
% 0.12/0.41 $false|~sQ12_spl|~sQ13_spl|sQ24_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f260])).
% 0.12/0.41 fof(f262,plain,(
% 0.12/0.41 ~sQ12_spl|~sQ13_spl|sQ24_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f261])).
% 0.12/0.41 fof(f265,plain,(
% 0.12/0.41 ~inverse(sk_c4)=sk_c9|~sk_c9=sk_c9|~sQ16_spl|~sQ5_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f126,f203])).
% 0.12/0.41 fof(f266,definition,(
% 0.12/0.41 sQ25_spl <=> (sk_c9=sk_c9)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f268,plain,(
% 0.12/0.41 ~sk_c9=sk_c9|sQ25_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f266])).
% 0.12/0.41 fof(f269,plain,(
% 0.12/0.41 ~sQ4_spl|~sQ25_spl|~sQ16_spl|~sQ5_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f265,f121,f266,f202,f125])).
% 0.12/0.41 fof(f270,plain,(
% 0.12/0.41 $false|sQ25_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f268])).
% 0.12/0.41 fof(f271,plain,(
% 0.12/0.41 sQ25_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f270])).
% 0.12/0.41 fof(f273,plain,(
% 0.12/0.41 multiply(sk_c6,sk_c5)=identity|~sQ7_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f134,f54])).
% 0.12/0.41 fof(f274,plain,(
% 0.12/0.41 multiply(sk_c9,sk_c4)=identity|~sQ4_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f122,f54])).
% 0.12/0.41 fof(f275,plain,(
% 0.12/0.41 multiply(sk_c9,sk_c3)=identity|~sQ2_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f114,f54])).
% 0.12/0.41 fof(f277,plain,(
% 0.12/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f54,f55])).
% 0.12/0.41 fof(f278,plain,(
% 0.12/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f53,f277])).
% 0.12/0.41 fof(f281,plain,(
% 0.12/0.41 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c9,multiply(sk_c7,X0))|~sQ3_spl)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f118,f55])).
% 0.12/0.41 fof(f285,plain,(
% 0.12/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c9,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f274,f55])).
% 0.12/0.41 fof(f286,plain,(
% 0.12/0.41 ![X0]: (X0=multiply(sk_c9,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f53,f285])).
% 0.12/0.41 fof(f288,plain,(
% 0.12/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c9,multiply(sk_c3,X0))|~sQ2_spl)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f275,f55])).
% 0.12/0.41 fof(f289,plain,(
% 0.12/0.41 ![X0]: (X0=multiply(sk_c9,multiply(sk_c3,X0))|~sQ2_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f53,f288])).
% 0.12/0.41 fof(f292,plain,(
% 0.12/0.41 ~multiply(sk_c5,sk_c6)=sk_c8|~sQ7_spl|sQ22_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f134,f249])).
% 0.12/0.41 fof(f293,plain,(
% 0.12/0.41 ~sk_c8=sk_c8|~sQ6_spl|~sQ7_spl|sQ22_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f130,f292])).
% 0.12/0.41 fof(f294,plain,(
% 0.12/0.41 $false|~sQ6_spl|~sQ7_spl|sQ22_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f293])).
% 0.12/0.41 fof(f295,plain,(
% 0.12/0.41 ~sQ6_spl|~sQ7_spl|sQ22_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f294])).
% 0.12/0.41 fof(f299,plain,(
% 0.12/0.41 ~sk_c8=sk_c8|~inverse(sk_c9)=sk_c7|~sQ15_spl|~sQ3_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f118,f200])).
% 0.12/0.41 fof(f301,plain,(
% 0.12/0.41 ~identity=sk_c8|~inverse(inverse(sk_c7))=sk_c7|~sQ15_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f54,f200])).
% 0.12/0.41 fof(f304,definition,(
% 0.12/0.41 sQ26_spl <=> (sk_c8=sk_c8)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f306,plain,(
% 0.12/0.41 ~sk_c8=sk_c8|sQ26_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f304])).
% 0.12/0.41 fof(f307,plain,(
% 0.12/0.41 ~sQ26_spl|~sQ11_spl|~sQ15_spl|~sQ3_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f299,f304,f163,f199,f117])).
% 0.12/0.41 fof(f312,definition,(
% 0.12/0.41 sQ28_spl <=> (identity=sk_c8)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f314,plain,(
% 0.12/0.41 ~identity=sk_c8|sQ28_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f312])).
% 0.12/0.41 fof(f315,definition,(
% 0.12/0.41 sQ29_spl <=> (inverse(inverse(sk_c7))=sk_c7)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f317,plain,(
% 0.12/0.41 ~inverse(inverse(sk_c7))=sk_c7|sQ29_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f315])).
% 0.12/0.41 fof(f318,plain,(
% 0.12/0.41 ~sQ28_spl|~sQ29_spl|~sQ15_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f301,f312,f315,f199])).
% 0.12/0.41 fof(f326,plain,(
% 0.12/0.41 $false|sQ26_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f306])).
% 0.12/0.41 fof(f327,plain,(
% 0.12/0.41 sQ26_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f326])).
% 0.12/0.41 fof(f328,plain,(
% 0.12/0.41 ~inverse(sk_c3)=sk_c9|~sQ14_spl|~sQ1_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f197,f110])).
% 0.12/0.41 fof(f334,plain,(
% 0.12/0.41 ~sk_c8=sk_c8|~inverse(sk_c1)=sk_c9|~sQ14_spl|~sQ9_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f142,f197])).
% 0.12/0.41 fof(f335,plain,(
% 0.12/0.41 ~sk_c9=sk_c9|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f114,f328])).
% 0.12/0.41 fof(f336,plain,(
% 0.12/0.41 $false|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f335])).
% 0.12/0.41 fof(f337,plain,(
% 0.12/0.41 ~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f336])).
% 0.12/0.41 fof(f342,plain,(
% 0.12/0.41 sk_c8=multiply(sk_c9,sk_c9)|~sQ4_spl|~sQ5_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f126,f286])).
% 0.12/0.41 fof(f349,plain,(
% 0.12/0.41 sk_c9=multiply(sk_c9,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f110,f289])).
% 0.12/0.41 fof(f357,plain,(
% 0.12/0.41 multiply(sk_c8,sk_c8)=multiply(sk_c3,sk_c9)|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f349,f212])).
% 0.12/0.41 fof(f359,plain,(
% 0.12/0.41 multiply(sk_c8,sk_c8)=sk_c8|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f110,f357])).
% 0.12/0.41 fof(f367,plain,(
% 0.12/0.41 sk_c8=multiply(inverse(sk_c8),sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f359,f278])).
% 0.12/0.41 fof(f390,plain,(
% 0.12/0.41 sk_c8=identity|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f54,f367])).
% 0.12/0.41 fof(f402,plain,(
% 0.12/0.41 multiply(sk_c6,sk_c5)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f390,f273])).
% 0.12/0.41 fof(f404,plain,(
% 0.12/0.41 ![X0]: (multiply(sk_c8,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f390,f53])).
% 0.12/0.41 fof(f428,plain,(
% 0.12/0.41 ![X0]: (X0=multiply(sk_c5,multiply(sk_c6,X0))|~sQ2_spl|~sQ1_spl|~sQ6_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f404,f214])).
% 0.12/0.41 fof(f431,plain,(
% 0.12/0.41 sk_c7=multiply(sk_c5,sk_c8)|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ8_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f138,f428])).
% 0.12/0.41 fof(f442,plain,(
% 0.12/0.41 sk_c5=multiply(sk_c5,sk_c8)|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f402,f428])).
% 0.12/0.41 fof(f451,plain,(
% 0.12/0.41 sk_c7=sk_c5|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ8_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f442,f431])).
% 0.12/0.41 fof(f475,plain,(
% 0.12/0.41 ![X0]: (X0=multiply(sk_c9,multiply(sk_c7,X0))|~sQ2_spl|~sQ1_spl|~sQ3_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f404,f281])).
% 0.12/0.41 fof(f476,plain,(
% 0.12/0.41 ![X0]: (X0=multiply(sk_c9,multiply(sk_c5,X0))|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f451,f475])).
% 0.12/0.41 fof(f480,plain,(
% 0.12/0.41 sk_c6=multiply(sk_c9,sk_c8)|~sQ7_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ6_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f130,f476])).
% 0.12/0.41 fof(f497,plain,(
% 0.12/0.41 ~sQ26_spl|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f334,f304,f152,f196,f141])).
% 0.12/0.41 fof(f498,definition,(
% 0.12/0.41 sQ32_spl <=> (inverse(inverse(sk_c9))=sk_c9)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f500,plain,(
% 0.12/0.41 ~inverse(inverse(sk_c9))=sk_c9|sQ32_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f498])).
% 0.12/0.41 fof(f514,plain,(
% 0.12/0.41 ~inverse(sk_c9)=sk_c5|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ8_spl|sQ11_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f451,f165])).
% 0.12/0.41 fof(f596,plain,(
% 0.12/0.41 sk_c9=multiply(inverse(sk_c1),sk_c8)|~sQ9_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f142,f278])).
% 0.12/0.41 fof(f598,plain,(
% 0.12/0.41 sk_c9=multiply(sk_c9,sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f153,f596])).
% 0.12/0.41 fof(f601,plain,(
% 0.12/0.41 ~inverse(sk_c7)=sk_c9|~sQ11_spl|sQ32_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f164,f500])).
% 0.12/0.41 fof(f602,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c2)=identity|~sQ13_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f186,f54])).
% 0.12/0.41 fof(f603,plain,(
% 0.12/0.41 multiply(sk_c7,sk_c9)=identity|~sQ11_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f164,f54])).
% 0.12/0.41 fof(f624,plain,(
% 0.12/0.41 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ10_spl|~sQ9_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f598,f278])).
% 0.12/0.41 fof(f626,plain,(
% 0.12/0.41 sk_c8=identity|~sQ10_spl|~sQ9_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f54,f624])).
% 0.12/0.41 fof(f627,plain,(
% 0.12/0.41 $false|sQ28_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f626,f314])).
% 0.12/0.41 fof(f628,plain,(
% 0.12/0.41 sQ28_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f627])).
% 0.12/0.41 fof(f631,plain,(
% 0.12/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ10_spl|~sQ9_spl)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f626,f54])).
% 0.12/0.41 fof(f632,plain,(
% 0.12/0.41 ![X0]: (multiply(sk_c8,X0)=X0|~sQ10_spl|~sQ9_spl)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f626,f53])).
% 0.12/0.41 fof(f635,plain,(
% 0.12/0.41 sk_c7=sk_c9|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f632,f107])).
% 0.12/0.41 fof(f644,plain,(
% 0.12/0.41 ~multiply(sk_c9,sk_c9)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ3_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f635,f119])).
% 0.12/0.41 fof(f645,plain,(
% 0.12/0.41 multiply(sk_c2,sk_c9)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ12_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f635,f175])).
% 0.12/0.41 fof(f646,plain,(
% 0.12/0.41 ~inverse(inverse(sk_c7))=sk_c9|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ29_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f635,f317])).
% 0.12/0.41 fof(f647,plain,(
% 0.12/0.41 ~inverse(sk_c9)=sk_c9|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl|sQ32_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f635,f601])).
% 0.12/0.41 fof(f648,plain,(
% 0.12/0.41 ~multiply(sk_c7,sk_c9)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ19_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f635,f237])).
% 0.12/0.41 fof(f649,plain,(
% 0.12/0.41 inverse(sk_c2)=sk_c9|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ13_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f635,f186])).
% 0.12/0.41 fof(f650,plain,(
% 0.12/0.41 inverse(sk_c9)=sk_c9|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f635,f164])).
% 0.12/0.41 fof(f653,plain,(
% 0.12/0.41 ~inverse(inverse(sk_c9))=sk_c9|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ29_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f635,f646])).
% 0.12/0.41 fof(f654,plain,(
% 0.12/0.41 ~multiply(sk_c9,sk_c9)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ19_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f635,f648])).
% 0.12/0.41 fof(f658,plain,(
% 0.12/0.41 $false|sQ32_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f650,f647])).
% 0.12/0.41 fof(f659,plain,(
% 0.12/0.41 sQ32_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f658])).
% 0.12/0.41 fof(f664,plain,(
% 0.12/0.41 multiply(sk_c9,sk_c9)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f650,f631])).
% 0.12/0.41 fof(f666,plain,(
% 0.12/0.41 $false|sQ3_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f664,f644])).
% 0.12/0.41 fof(f667,plain,(
% 0.12/0.41 sQ3_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f666])).
% 0.12/0.41 fof(f686,plain,(
% 0.12/0.41 multiply(sk_c9,sk_c2)=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ13_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f635,f602])).
% 0.12/0.41 fof(f687,plain,(
% 0.12/0.41 multiply(sk_c9,sk_c2)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ13_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f626,f686])).
% 0.12/0.41 fof(f688,plain,(
% 0.12/0.41 sk_c2=multiply(inverse(sk_c9),sk_c8)|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ13_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f687,f278])).
% 0.12/0.41 fof(f690,plain,(
% 0.12/0.41 sk_c2=multiply(sk_c9,sk_c8)|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ13_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f650,f688])).
% 0.12/0.41 fof(f692,plain,(
% 0.12/0.41 multiply(sk_c9,sk_c9)=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f635,f603])).
% 0.12/0.41 fof(f693,plain,(
% 0.12/0.41 multiply(sk_c9,sk_c9)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f626,f692])).
% 0.12/0.41 fof(f708,plain,(
% 0.12/0.41 ~inverse(sk_c9)=sk_c9|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ29_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f650,f653])).
% 0.12/0.41 fof(f709,plain,(
% 0.12/0.41 ~sk_c9=sk_c9|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ29_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f650,f708])).
% 0.12/0.41 fof(f710,plain,(
% 0.12/0.41 $false|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ29_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f709])).
% 0.12/0.41 fof(f711,plain,(
% 0.12/0.41 ~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ29_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f710])).
% 0.12/0.41 fof(f715,plain,(
% 0.12/0.41 ~sk_c8=sk_c8|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ19_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f693,f654])).
% 0.12/0.41 fof(f716,plain,(
% 0.12/0.41 $false|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ19_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f715])).
% 0.12/0.41 fof(f717,plain,(
% 0.12/0.41 ~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ19_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f716])).
% 0.12/0.41 fof(f846,plain,(
% 0.12/0.41 ~inverse(sk_c9)=sk_c9|~sk_c2=sk_c9|~sQ16_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ13_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f690,f203])).
% 0.12/0.41 fof(f849,definition,(
% 0.12/0.41 sQ40_spl <=> (inverse(sk_c9)=sk_c9)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f851,plain,(
% 0.12/0.41 ~inverse(sk_c9)=sk_c9|sQ40_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f849])).
% 0.12/0.41 fof(f852,definition,(
% 0.12/0.41 sQ41_spl <=> (sk_c2=sk_c9)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f854,plain,(
% 0.12/0.41 ~sk_c2=sk_c9|sQ41_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f852])).
% 0.12/0.41 fof(f855,plain,(
% 0.12/0.41 ~sQ40_spl|~sQ41_spl|~sQ16_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ13_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f846,f849,f852,f202,f163,f152,f141,f106,f185])).
% 0.12/0.41 fof(f858,plain,(
% 0.12/0.41 ~sk_c9=sk_c9|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl|sQ40_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f650,f851])).
% 0.12/0.41 fof(f859,plain,(
% 0.12/0.41 $false|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl|sQ40_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f858])).
% 0.12/0.41 fof(f860,plain,(
% 0.12/0.41 ~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl|sQ40_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f859])).
% 0.12/0.41 fof(f868,plain,(
% 0.12/0.41 sk_c9=multiply(inverse(sk_c2),sk_c8)|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ12_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f645,f278])).
% 0.12/0.41 fof(f870,plain,(
% 0.12/0.41 sk_c9=multiply(sk_c9,sk_c8)|~sQ13_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ12_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f649,f868])).
% 0.12/0.41 fof(f871,plain,(
% 0.12/0.41 sk_c9=sk_c2|~sQ11_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ12_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f690,f870])).
% 0.12/0.41 fof(f872,plain,(
% 0.12/0.41 $false|sQ41_spl|~sQ11_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ12_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f871,f854])).
% 0.12/0.41 fof(f873,plain,(
% 0.12/0.41 sQ41_spl|~sQ11_spl|~sQ13_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ12_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f872])).
% 0.12/0.41 fof(f904,plain,(
% 0.12/0.41 sk_c7=sk_c9|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f404,f107])).
% 0.12/0.41 fof(f905,plain,(
% 0.12/0.41 sk_c5=sk_c9|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f451,f904])).
% 0.12/0.41 fof(f930,plain,(
% 0.12/0.41 ~inverse(sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ8_spl|sQ11_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f905,f514])).
% 0.12/0.41 fof(f931,plain,(
% 0.12/0.41 ~sk_c6=sk_c5|~sQ0_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ8_spl|sQ11_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f134,f930])).
% 0.12/0.41 fof(f971,plain,(
% 0.12/0.41 sk_c5=multiply(sk_c9,sk_c8)|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f905,f349])).
% 0.12/0.41 fof(f972,plain,(
% 0.12/0.41 sk_c5=multiply(sk_c5,sk_c8)|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f905,f971])).
% 0.12/0.41 fof(f976,plain,(
% 0.12/0.41 sk_c5=sk_c6|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f977,f972])).
% 0.12/0.41 fof(f977,plain,(
% 0.12/0.41 sk_c6=multiply(sk_c5,sk_c8)|~sQ0_spl|~sQ7_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ6_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f905,f480])).
% 0.12/0.41 fof(f980,plain,(
% 0.12/0.41 $false|sQ11_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f976,f931])).
% 0.12/0.41 fof(f981,plain,(
% 0.12/0.41 sQ11_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f980])).
% 0.12/0.41 fof(f993,plain,(
% 0.12/0.41 ~sk_c7=sk_c9|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f404,f108])).
% 0.12/0.41 fof(f994,plain,(
% 0.12/0.41 ~sk_c5=sk_c9|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f451,f993])).
% 0.12/0.41 fof(f1029,plain,(
% 0.12/0.41 ~sk_c5=sk_c6|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f1031,f994])).
% 0.12/0.41 fof(f1031,plain,(
% 0.12/0.41 sk_c9=sk_c6|~sQ7_spl|~sQ8_spl|~sQ3_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f480,f349])).
% 0.12/0.41 fof(f1050,plain,(
% 0.12/0.41 sk_c8=multiply(sk_c6,sk_c9)|~sQ7_spl|~sQ8_spl|~sQ3_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f1031,f342])).
% 0.12/0.41 fof(f1051,plain,(
% 0.12/0.41 sk_c8=multiply(sk_c6,sk_c6)|~sQ7_spl|~sQ8_spl|~sQ3_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f1031,f1050])).
% 0.12/0.41 fof(f1062,plain,(
% 0.12/0.41 ![X0]: (X0=multiply(sk_c5,multiply(sk_c6,X0))|~sQ2_spl|~sQ1_spl|~sQ6_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f404,f214])).
% 0.12/0.41 fof(f1064,plain,(
% 0.12/0.41 sk_c6=multiply(sk_c5,sk_c8)|~sQ7_spl|~sQ8_spl|~sQ3_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ5_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f1051,f1062])).
% 0.12/0.41 fof(f1086,plain,(
% 0.12/0.41 sk_c5=sk_c6|~sQ8_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f1064,f442])).
% 0.12/0.41 fof(f1089,plain,(
% 0.12/0.41 $false|sQ0_spl|~sQ8_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1086,f1029])).
% 0.12/0.41 fof(f1090,plain,(
% 0.12/0.41 sQ0_spl|~sQ8_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f1089])).
% 0.12/0.41 fof(f1091,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f112,f116,f120,f124,f128,f132,f136,f140,f144,f145,f146,f147,f148,f149,f150,f151,f155,f156,f157,f158,f159,f160,f161,f162,f166,f167,f168,f171,f172,f173,f178,f180,f181,f182,f183,f184,f189,f191,f192,f193,f194,f195,f208,f238,f242,f250,f254,f258,f262,f269,f271,f295,f307,f318,f327,f337,f497,f628,f659,f667,f711,f717,f855,f860,f873,f981,f1090])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.050229 seconds
% 0.12/0.43 % CPU time: 0.183766 seconds
% 0.12/0.43 % Total memory used: 31.918 MB
% 0.12/0.43 % Net memory used: 31.843 MB
%------------------------------------------------------------------------------