%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP339-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:36:28 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP339-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:10:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.42 % Refutation found
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.42 fof(f1,axiom,(
% 0.10/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f2,axiom,(
% 0.10/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f3,axiom,(
% 0.10/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f4,negated_conjecture,(
% 0.10/0.42 multiply(sk_c8,sk_c9) = sk_c7 ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f5,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f6,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f7,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c8) = sk_c7 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f8,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f9,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f10,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f11,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c5 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f12,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f13,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c9) = sk_c5 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f14,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f15,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f16,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c8) = sk_c7 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f17,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f18,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f19,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f20,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c6) = sk_c5 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f21,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f23,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f24,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f25,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| inverse(sk_c8) = sk_c7 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f26,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f27,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f28,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f29,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| inverse(sk_c6) = sk_c5 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f30,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f31,negated_conjecture,(
% 0.10/0.42 ( multiply(sk_c2,sk_c8) = sk_c9| multiply(sk_c6,sk_c9) = sk_c5 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f32,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f33,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f34,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f35,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f36,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f37,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f38,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c6) = sk_c5 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f39,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c9 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f40,negated_conjecture,(
% 0.10/0.42 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c9) = sk_c5 ) ),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f41,negated_conjecture,(
% 0.10/0.42 (![X3,X4,X1,X2,X5,X6]: (( multiply(sk_c8,sk_c9) != sk_c7| inverse(X3) != sk_c9| multiply(X3,sk_c8) != sk_c9| multiply(X4,sk_c8) != sk_c9| inverse(X4) != sk_c8| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| inverse(sk_c8) != sk_c7| multiply(sk_c9,sk_c7) != sk_c8| inverse(X2) != sk_c8| multiply(X2,sk_c7) != sk_c8| inverse(X5) != X6| inverse(X6) != sk_c9| multiply(X5,sk_c9) != X6 ) ))),
% 0.10/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.42 fof(f42,plain,(
% 0.10/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.42 fof(f43,plain,(
% 0.10/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.42 fof(f44,plain,(
% 0.10/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.42 fof(f45,plain,(
% 0.10/0.42 multiply(sk_c8,sk_c9)=sk_c7),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.42 fof(f46,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.42 fof(f47,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.42 fof(f48,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c8)=sk_c7),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.42 fof(f49,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.42 fof(f50,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.42 fof(f51,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.42 fof(f52,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c5),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.42 fof(f53,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.42 fof(f54,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c9)=sk_c5),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.42 fof(f55,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.42 fof(f56,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.42 fof(f57,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c8)=sk_c7),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.42 fof(f58,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.42 fof(f59,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.42 fof(f60,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.42 fof(f61,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c6)=sk_c5),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.42 fof(f62,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.42 fof(f64,plain,(
% 0.10/0.42 multiply(sk_c2,sk_c8)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.42 fof(f65,plain,(
% 0.10/0.42 multiply(sk_c2,sk_c8)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.42 fof(f66,plain,(
% 0.10/0.42 multiply(sk_c2,sk_c8)=sk_c9|inverse(sk_c8)=sk_c7),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.42 fof(f67,plain,(
% 0.10/0.42 multiply(sk_c2,sk_c8)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.42 fof(f68,plain,(
% 0.10/0.42 multiply(sk_c2,sk_c8)=sk_c9|inverse(sk_c4)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.42 fof(f69,plain,(
% 0.10/0.42 multiply(sk_c2,sk_c8)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.42 fof(f70,plain,(
% 0.10/0.42 multiply(sk_c2,sk_c8)=sk_c9|inverse(sk_c6)=sk_c5),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.42 fof(f71,plain,(
% 0.10/0.42 multiply(sk_c2,sk_c8)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.42 fof(f72,plain,(
% 0.10/0.42 multiply(sk_c2,sk_c8)=sk_c9|multiply(sk_c6,sk_c9)=sk_c5),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.42 fof(f73,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.42 fof(f74,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.42 fof(f75,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.42 fof(f76,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f35])).
% 0.10/0.42 fof(f77,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.10/0.42 fof(f78,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f37])).
% 0.10/0.42 fof(f79,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c6)=sk_c5),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.10/0.42 fof(f80,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c9),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.42 fof(f81,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c9)=sk_c5),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.42 fof(f82,plain,(
% 0.10/0.42 ![X5,X6]: ((((![X2]: (((((![X1]: (((![X4]: (((![X3]: ((~multiply(sk_c8,sk_c9)=sk_c7|~inverse(X3)=sk_c9)|~multiply(X3,sk_c8)=sk_c9))|~multiply(X4,sk_c8)=sk_c9)|~inverse(X4)=sk_c8))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~inverse(sk_c8)=sk_c7)|~multiply(sk_c9,sk_c7)=sk_c8)|~inverse(X2)=sk_c8)|~multiply(X2,sk_c7)=sk_c8))|~inverse(X5)=X6)|~inverse(X6)=sk_c9)|~multiply(X5,sk_c9)=X6)),
% 0.10/0.42 inference(miniscoping,[status(thm)],[f41])).
% 0.10/0.42 fof(f83,plain,(
% 0.10/0.42 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c8,sk_c9)=sk_c7|~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~multiply(X1,sk_c8)=sk_c9|~inverse(X1)=sk_c8|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~inverse(sk_c8)=sk_c7|~multiply(sk_c9,sk_c7)=sk_c8|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~inverse(X4)=X5|~inverse(X5)=sk_c9|~multiply(X4,sk_c9)=X5)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f82])).
% 0.10/0.42 fof(f84,definition,(
% 0.10/0.42 sQ0_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f85,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c9|~sQ0_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f84])).
% 0.10/0.42 fof(f87,definition,(
% 0.10/0.42 sQ1_spl <=> (multiply(sk_c3,sk_c9)=sk_c8)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f88,plain,(
% 0.10/0.42 multiply(sk_c3,sk_c9)=sk_c8|~sQ1_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f87])).
% 0.10/0.42 fof(f90,plain,(
% 0.10/0.42 sQ0_spl|sQ1_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f46,f84,f87])).
% 0.10/0.42 fof(f91,definition,(
% 0.10/0.42 sQ2_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f92,plain,(
% 0.10/0.42 inverse(sk_c3)=sk_c9|~sQ2_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f91])).
% 0.10/0.42 fof(f94,plain,(
% 0.10/0.42 sQ0_spl|sQ2_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f47,f84,f91])).
% 0.10/0.42 fof(f95,definition,(
% 0.10/0.42 sQ3_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f96,plain,(
% 0.10/0.42 inverse(sk_c8)=sk_c7|~sQ3_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f95])).
% 0.10/0.42 fof(f97,plain,(
% 0.10/0.42 ~inverse(sk_c8)=sk_c7|sQ3_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f95])).
% 0.10/0.42 fof(f98,plain,(
% 0.10/0.42 sQ0_spl|sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f48,f84,f95])).
% 0.10/0.42 fof(f99,definition,(
% 0.10/0.42 sQ4_spl <=> (multiply(sk_c9,sk_c7)=sk_c8)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f100,plain,(
% 0.10/0.42 multiply(sk_c9,sk_c7)=sk_c8|~sQ4_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f99])).
% 0.10/0.42 fof(f101,plain,(
% 0.10/0.42 ~multiply(sk_c9,sk_c7)=sk_c8|sQ4_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f99])).
% 0.10/0.42 fof(f102,plain,(
% 0.10/0.42 sQ0_spl|sQ4_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f49,f84,f99])).
% 0.10/0.42 fof(f103,definition,(
% 0.10/0.42 sQ5_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f104,plain,(
% 0.10/0.42 inverse(sk_c4)=sk_c8|~sQ5_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f103])).
% 0.10/0.42 fof(f106,plain,(
% 0.10/0.42 sQ0_spl|sQ5_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f50,f84,f103])).
% 0.10/0.42 fof(f107,definition,(
% 0.10/0.42 sQ6_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f108,plain,(
% 0.10/0.42 multiply(sk_c4,sk_c7)=sk_c8|~sQ6_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f107])).
% 0.10/0.42 fof(f110,plain,(
% 0.10/0.42 sQ0_spl|sQ6_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f51,f84,f107])).
% 0.10/0.42 fof(f111,definition,(
% 0.10/0.42 sQ7_spl <=> (inverse(sk_c6)=sk_c5)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f112,plain,(
% 0.10/0.42 inverse(sk_c6)=sk_c5|~sQ7_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f111])).
% 0.10/0.42 fof(f114,plain,(
% 0.10/0.42 sQ0_spl|sQ7_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f52,f84,f111])).
% 0.10/0.42 fof(f115,definition,(
% 0.10/0.42 sQ8_spl <=> (inverse(sk_c5)=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f116,plain,(
% 0.10/0.42 inverse(sk_c5)=sk_c9|~sQ8_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f115])).
% 0.10/0.42 fof(f118,plain,(
% 0.10/0.42 sQ0_spl|sQ8_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f53,f84,f115])).
% 0.10/0.42 fof(f119,definition,(
% 0.10/0.42 sQ9_spl <=> (multiply(sk_c6,sk_c9)=sk_c5)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f120,plain,(
% 0.10/0.42 multiply(sk_c6,sk_c9)=sk_c5|~sQ9_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f119])).
% 0.10/0.42 fof(f122,plain,(
% 0.10/0.42 sQ0_spl|sQ9_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f54,f84,f119])).
% 0.10/0.42 fof(f123,definition,(
% 0.10/0.42 sQ10_spl <=> (multiply(sk_c1,sk_c8)=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f124,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c8)=sk_c9|~sQ10_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f123])).
% 0.10/0.42 fof(f125,plain,(
% 0.10/0.42 ~multiply(sk_c1,sk_c8)=sk_c9|sQ10_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f123])).
% 0.10/0.42 fof(f126,plain,(
% 0.10/0.42 sQ10_spl|sQ1_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f55,f123,f87])).
% 0.10/0.42 fof(f127,plain,(
% 0.10/0.42 sQ10_spl|sQ2_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f56,f123,f91])).
% 0.10/0.42 fof(f128,plain,(
% 0.10/0.42 sQ10_spl|sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f57,f123,f95])).
% 0.10/0.42 fof(f129,plain,(
% 0.10/0.42 sQ10_spl|sQ4_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f58,f123,f99])).
% 0.10/0.42 fof(f130,plain,(
% 0.10/0.42 sQ10_spl|sQ5_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f59,f123,f103])).
% 0.10/0.42 fof(f131,plain,(
% 0.10/0.42 sQ10_spl|sQ6_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f60,f123,f107])).
% 0.10/0.42 fof(f132,plain,(
% 0.10/0.42 sQ10_spl|sQ7_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f61,f123,f111])).
% 0.10/0.42 fof(f133,plain,(
% 0.10/0.42 sQ10_spl|sQ8_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f62,f123,f115])).
% 0.10/0.42 fof(f135,definition,(
% 0.10/0.42 sQ11_spl <=> (multiply(sk_c2,sk_c8)=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f136,plain,(
% 0.10/0.42 multiply(sk_c2,sk_c8)=sk_c9|~sQ11_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f135])).
% 0.10/0.42 fof(f138,plain,(
% 0.10/0.42 sQ11_spl|sQ1_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f64,f135,f87])).
% 0.10/0.42 fof(f139,plain,(
% 0.10/0.42 sQ11_spl|sQ2_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f65,f135,f91])).
% 0.10/0.42 fof(f140,plain,(
% 0.10/0.42 sQ11_spl|sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f66,f135,f95])).
% 0.10/0.42 fof(f141,plain,(
% 0.10/0.42 sQ11_spl|sQ4_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f67,f135,f99])).
% 0.10/0.42 fof(f142,plain,(
% 0.10/0.42 sQ11_spl|sQ5_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f68,f135,f103])).
% 0.10/0.42 fof(f143,plain,(
% 0.10/0.42 sQ11_spl|sQ6_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f69,f135,f107])).
% 0.10/0.42 fof(f144,plain,(
% 0.10/0.42 sQ11_spl|sQ7_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f70,f135,f111])).
% 0.10/0.42 fof(f145,plain,(
% 0.10/0.42 sQ11_spl|sQ8_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f71,f135,f115])).
% 0.10/0.42 fof(f146,plain,(
% 0.10/0.42 sQ11_spl|sQ9_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f72,f135,f119])).
% 0.10/0.42 fof(f147,definition,(
% 0.10/0.42 sQ12_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f148,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c8|~sQ12_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f147])).
% 0.10/0.42 fof(f150,plain,(
% 0.10/0.42 sQ12_spl|sQ1_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f73,f147,f87])).
% 0.10/0.42 fof(f151,plain,(
% 0.10/0.42 sQ12_spl|sQ2_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f74,f147,f91])).
% 0.10/0.42 fof(f152,plain,(
% 0.10/0.42 sQ12_spl|sQ3_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f75,f147,f95])).
% 0.10/0.42 fof(f153,plain,(
% 0.10/0.42 sQ12_spl|sQ4_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f76,f147,f99])).
% 0.10/0.42 fof(f154,plain,(
% 0.10/0.42 sQ12_spl|sQ5_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f77,f147,f103])).
% 0.10/0.42 fof(f155,plain,(
% 0.10/0.42 sQ12_spl|sQ6_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f78,f147,f107])).
% 0.10/0.42 fof(f156,plain,(
% 0.10/0.42 sQ12_spl|sQ7_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f79,f147,f111])).
% 0.10/0.42 fof(f157,plain,(
% 0.10/0.42 sQ12_spl|sQ8_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f80,f147,f115])).
% 0.10/0.42 fof(f158,plain,(
% 0.10/0.42 sQ12_spl|sQ9_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f81,f147,f119])).
% 0.10/0.42 fof(f159,definition,(
% 0.10/0.42 sQ13_spl <=> (multiply(sk_c8,sk_c9)=sk_c7)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f161,plain,(
% 0.10/0.42 ~multiply(sk_c8,sk_c9)=sk_c7|sQ13_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f159])).
% 0.10/0.42 fof(f162,definition,(
% 0.10/0.42 ![X0]: (sQ14_spl <=> (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f163,plain,(
% 0.10/0.42 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ14_spl)),
% 0.10/0.42 inference(component_clause,[status(thm)],[f162])).
% 0.10/0.42 fof(f165,definition,(
% 0.10/0.42 ![X1]: (sQ15_spl <=> (~multiply(X1,sk_c8)=sk_c9|~inverse(X1)=sk_c8))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f166,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ15_spl)),
% 0.10/0.42 inference(component_clause,[status(thm)],[f165])).
% 0.10/0.42 fof(f168,definition,(
% 0.10/0.42 ![X2]: (sQ16_spl <=> (~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f169,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ16_spl)),
% 0.10/0.42 inference(component_clause,[status(thm)],[f168])).
% 0.10/0.42 fof(f171,definition,(
% 0.10/0.42 ![X3]: (sQ17_spl <=> (~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f172,plain,(
% 0.10/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ17_spl)),
% 0.10/0.42 inference(component_clause,[status(thm)],[f171])).
% 0.10/0.42 fof(f174,definition,(
% 0.10/0.42 ![X4,X5]: (sQ18_spl <=> (~inverse(X4)=X5|~inverse(X5)=sk_c9|~multiply(X4,sk_c9)=X5))),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f175,plain,(
% 0.10/0.42 ![X0,X1]: (~inverse(X0)=X1|~inverse(X1)=sk_c9|~multiply(X0,sk_c9)=X1|~sQ18_spl)),
% 0.10/0.42 inference(component_clause,[status(thm)],[f174])).
% 0.10/0.42 fof(f177,plain,(
% 0.10/0.42 ~sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl|~sQ3_spl|~sQ4_spl|sQ17_spl|sQ18_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f83,f159,f162,f165,f168,f95,f99,f171,f174])).
% 0.10/0.42 fof(f178,plain,(
% 0.10/0.42 ![X0]: (~inverse(inverse(X0))=sk_c9|~multiply(X0,sk_c9)=inverse(X0)|~sQ18_spl)),
% 0.10/0.42 inference(destructive_equality_resolution,[status(thm)],[f175])).
% 0.10/0.42 fof(f199,plain,(
% 0.10/0.42 ~inverse(inverse(sk_c6))=sk_c9|~sk_c5=inverse(sk_c6)|~sQ18_spl|~sQ9_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f120,f178])).
% 0.10/0.42 fof(f200,plain,(
% 0.10/0.42 ~inverse(inverse(sk_c8))=sk_c9|~sk_c7=inverse(sk_c8)|~sQ18_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f45,f178])).
% 0.10/0.42 fof(f208,definition,(
% 0.10/0.42 sQ21_spl <=> (inverse(inverse(sk_c6))=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f210,plain,(
% 0.10/0.42 ~inverse(inverse(sk_c6))=sk_c9|sQ21_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f208])).
% 0.10/0.42 fof(f211,plain,(
% 0.10/0.42 ~sQ21_spl|~sQ7_spl|~sQ18_spl|~sQ9_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f199,f208,f111,f174,f119])).
% 0.10/0.42 fof(f212,definition,(
% 0.10/0.42 sQ22_spl <=> (inverse(inverse(sk_c8))=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f214,plain,(
% 0.10/0.42 ~inverse(inverse(sk_c8))=sk_c9|sQ22_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f212])).
% 0.10/0.42 fof(f215,plain,(
% 0.10/0.42 ~sQ22_spl|~sQ3_spl|~sQ18_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f200,f212,f95,f174])).
% 0.10/0.42 fof(f218,plain,(
% 0.10/0.42 ~inverse(sk_c4)=sk_c8|~sQ17_spl|~sQ6_spl),
% 0.10/0.42 inference(resolution,[status(thm)],[f172,f108])).
% 0.10/0.42 fof(f221,plain,(
% 0.10/0.42 ~sk_c8=sk_c8|~sQ5_spl|~sQ17_spl|~sQ6_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f104,f218])).
% 0.10/0.42 fof(f222,plain,(
% 0.10/0.42 $false|~sQ5_spl|~sQ17_spl|~sQ6_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f221])).
% 0.10/0.42 fof(f223,plain,(
% 0.10/0.42 ~sQ5_spl|~sQ17_spl|~sQ6_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f222])).
% 0.10/0.42 fof(f224,plain,(
% 0.10/0.42 ~sk_c7=sk_c7|sQ13_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f45,f161])).
% 0.10/0.42 fof(f225,plain,(
% 0.10/0.42 $false|sQ13_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f224])).
% 0.10/0.42 fof(f226,plain,(
% 0.10/0.42 sQ13_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f225])).
% 0.10/0.42 fof(f232,plain,(
% 0.10/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f43,f44])).
% 0.10/0.42 fof(f233,plain,(
% 0.10/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f42,f232])).
% 0.10/0.42 fof(f256,plain,(
% 0.10/0.42 sk_c8=multiply(inverse(sk_c2),sk_c9)|~sQ11_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f136,f233])).
% 0.10/0.42 fof(f261,plain,(
% 0.10/0.42 sk_c8=multiply(sk_c8,sk_c9)|~sQ12_spl|~sQ11_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f148,f256])).
% 0.10/0.42 fof(f262,plain,(
% 0.10/0.42 sk_c8=sk_c7|~sQ12_spl|~sQ11_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f45,f261])).
% 0.10/0.42 fof(f265,plain,(
% 0.10/0.42 ~inverse(inverse(sk_c7))=sk_c9|~sQ12_spl|~sQ11_spl|sQ22_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f262,f214])).
% 0.10/0.42 fof(f270,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c7)=sk_c9|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f262,f124])).
% 0.10/0.42 fof(f272,plain,(
% 0.10/0.42 multiply(sk_c7,sk_c9)=sk_c7|~sQ12_spl|~sQ11_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f262,f45])).
% 0.10/0.42 fof(f273,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c7|~sQ11_spl|~sQ12_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f262,f148])).
% 0.10/0.42 fof(f274,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c9)=sk_c7|~inverse(X0)=sk_c9|~sQ12_spl|~sQ11_spl|~sQ16_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f262,f169])).
% 0.10/0.42 fof(f276,plain,(
% 0.10/0.42 ~sk_c9=sk_c7|~inverse(identity)=sk_c9|~sQ12_spl|~sQ11_spl|~sQ16_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f42,f274])).
% 0.10/0.42 fof(f285,definition,(
% 0.10/0.42 sQ25_spl <=> (sk_c9=sk_c7)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f286,plain,(
% 0.10/0.42 sk_c9=sk_c7|~sQ25_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f285])).
% 0.10/0.42 fof(f287,plain,(
% 0.10/0.42 ~sk_c9=sk_c7|sQ25_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f285])).
% 0.10/0.42 fof(f288,definition,(
% 0.10/0.42 sQ26_spl <=> (inverse(identity)=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f290,plain,(
% 0.10/0.42 ~inverse(identity)=sk_c9|sQ26_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f288])).
% 0.10/0.42 fof(f291,plain,(
% 0.10/0.42 ~sQ25_spl|~sQ26_spl|~sQ12_spl|~sQ11_spl|~sQ16_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f276,f285,f288,f147,f135,f168])).
% 0.10/0.42 fof(f297,definition,(
% 0.10/0.42 sQ27_spl <=> (identity=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f298,plain,(
% 0.10/0.42 identity=sk_c9|~sQ27_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f297])).
% 0.10/0.42 fof(f299,plain,(
% 0.10/0.42 ~identity=sk_c9|sQ27_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f297])).
% 0.10/0.42 fof(f308,plain,(
% 0.10/0.42 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c7)=sk_c9|~sQ12_spl|~sQ11_spl|~sQ14_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f262,f163])).
% 0.10/0.42 fof(f310,plain,(
% 0.10/0.42 ~inverse(identity)=sk_c9|~sk_c7=sk_c9|~sQ12_spl|~sQ11_spl|~sQ14_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f42,f308])).
% 0.10/0.42 fof(f316,plain,(
% 0.10/0.42 ~sQ26_spl|~sQ25_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f310,f288,f285,f147,f135,f162])).
% 0.10/0.42 fof(f325,plain,(
% 0.10/0.42 ~inverse(sk_c5)=sk_c9|~sQ7_spl|sQ21_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f112,f210])).
% 0.10/0.42 fof(f327,plain,(
% 0.10/0.42 multiply(sk_c5,sk_c6)=identity|~sQ7_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f112,f43])).
% 0.10/0.42 fof(f328,plain,(
% 0.10/0.42 ~sk_c9=sk_c9|~sQ8_spl|~sQ7_spl|sQ21_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f116,f325])).
% 0.10/0.42 fof(f329,plain,(
% 0.10/0.42 $false|~sQ8_spl|~sQ7_spl|sQ21_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f328])).
% 0.10/0.42 fof(f330,plain,(
% 0.10/0.42 ~sQ8_spl|~sQ7_spl|sQ21_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f329])).
% 0.10/0.42 fof(f354,plain,(
% 0.10/0.42 sk_c9=multiply(inverse(sk_c7),sk_c7)|~sQ12_spl|~sQ11_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f272,f233])).
% 0.10/0.42 fof(f356,plain,(
% 0.10/0.42 sk_c9=identity|~sQ12_spl|~sQ11_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f43,f354])).
% 0.10/0.42 fof(f357,plain,(
% 0.10/0.42 $false|sQ27_spl|~sQ12_spl|~sQ11_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f356,f299])).
% 0.10/0.42 fof(f358,plain,(
% 0.10/0.42 sQ27_spl|~sQ12_spl|~sQ11_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f357])).
% 0.10/0.42 fof(f362,plain,(
% 0.10/0.42 multiply(sk_c8,sk_c4)=identity|~sQ5_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f104,f43])).
% 0.10/0.42 fof(f373,plain,(
% 0.10/0.42 sk_c9=multiply(inverse(sk_c3),sk_c8)|~sQ1_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f88,f233])).
% 0.10/0.42 fof(f375,plain,(
% 0.10/0.42 sk_c9=multiply(sk_c9,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f92,f373])).
% 0.10/0.42 fof(f381,plain,(
% 0.10/0.42 sk_c7=multiply(inverse(sk_c4),sk_c8)|~sQ6_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f108,f233])).
% 0.10/0.42 fof(f383,plain,(
% 0.10/0.42 sk_c7=multiply(sk_c8,sk_c8)|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f104,f381])).
% 0.10/0.42 fof(f388,plain,(
% 0.10/0.42 ~sk_c9=sk_c9|~inverse(sk_c1)=sk_c8|~sQ15_spl|~sQ10_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f124,f166])).
% 0.10/0.42 fof(f390,plain,(
% 0.10/0.42 ~identity=sk_c9|~inverse(inverse(sk_c8))=sk_c8|~sQ15_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f43,f166])).
% 0.10/0.42 fof(f391,plain,(
% 0.10/0.42 ~sk_c8=sk_c9|~inverse(identity)=sk_c8|~sQ15_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f42,f166])).
% 0.10/0.42 fof(f394,definition,(
% 0.10/0.42 sQ31_spl <=> (sk_c9=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f396,plain,(
% 0.10/0.42 ~sk_c9=sk_c9|sQ31_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f394])).
% 0.10/0.42 fof(f397,definition,(
% 0.10/0.42 sQ32_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f399,plain,(
% 0.10/0.42 ~inverse(sk_c1)=sk_c8|sQ32_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f397])).
% 0.10/0.42 fof(f400,plain,(
% 0.10/0.42 ~sQ31_spl|~sQ32_spl|~sQ15_spl|~sQ10_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f388,f394,f397,f165,f123])).
% 0.10/0.42 fof(f401,definition,(
% 0.10/0.42 sQ33_spl <=> (sk_c8=sk_c9)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f402,plain,(
% 0.10/0.42 sk_c8=sk_c9|~sQ33_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f401])).
% 0.10/0.42 fof(f403,plain,(
% 0.10/0.42 ~sk_c8=sk_c9|sQ33_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f401])).
% 0.10/0.42 fof(f408,definition,(
% 0.10/0.42 sQ35_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f411,plain,(
% 0.10/0.42 ~sQ27_spl|~sQ35_spl|~sQ15_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f390,f297,f408,f165])).
% 0.10/0.42 fof(f412,definition,(
% 0.10/0.42 sQ36_spl <=> (inverse(identity)=sk_c8)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f414,plain,(
% 0.10/0.42 ~inverse(identity)=sk_c8|sQ36_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f412])).
% 0.10/0.42 fof(f415,plain,(
% 0.10/0.42 ~sQ33_spl|~sQ36_spl|~sQ15_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f391,f401,f412,f165])).
% 0.10/0.42 fof(f417,plain,(
% 0.10/0.42 ~sk_c9=sk_c8|~sQ0_spl|sQ32_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f85,f399])).
% 0.10/0.42 fof(f418,plain,(
% 0.10/0.42 $false|sQ31_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f396])).
% 0.10/0.42 fof(f419,plain,(
% 0.10/0.42 sQ31_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f418])).
% 0.10/0.42 fof(f420,plain,(
% 0.10/0.42 sk_c9=multiply(inverse(sk_c8),sk_c7)),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f45,f233])).
% 0.10/0.42 fof(f422,plain,(
% 0.10/0.42 sk_c9=multiply(sk_c7,sk_c7)|~sQ3_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f96,f420])).
% 0.10/0.42 fof(f431,plain,(
% 0.10/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ12_spl|~sQ11_spl)),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f356,f43])).
% 0.10/0.42 fof(f432,plain,(
% 0.10/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ12_spl|~sQ11_spl)),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f356,f42])).
% 0.10/0.42 fof(f471,plain,(
% 0.10/0.42 sk_c7=multiply(inverse(sk_c1),sk_c9)|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f270,f233])).
% 0.10/0.42 fof(f473,plain,(
% 0.10/0.42 sk_c7=multiply(sk_c9,sk_c9)|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f85,f471])).
% 0.10/0.42 fof(f474,plain,(
% 0.10/0.42 sk_c7=sk_c9|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f432,f473])).
% 0.10/0.42 fof(f475,plain,(
% 0.10/0.42 $false|sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f474,f287])).
% 0.10/0.42 fof(f476,plain,(
% 0.10/0.42 sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f475])).
% 0.10/0.42 fof(f509,plain,(
% 0.10/0.42 sk_c4=multiply(inverse(sk_c8),identity)|~sQ5_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f362,f233])).
% 0.10/0.42 fof(f511,plain,(
% 0.10/0.42 sk_c4=multiply(sk_c7,identity)|~sQ3_spl|~sQ5_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f96,f509])).
% 0.10/0.42 fof(f549,plain,(
% 0.10/0.42 sk_c8=multiply(inverse(sk_c8),sk_c7)|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f383,f233])).
% 0.10/0.42 fof(f551,plain,(
% 0.10/0.42 sk_c8=multiply(sk_c7,sk_c7)|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f96,f549])).
% 0.10/0.42 fof(f552,plain,(
% 0.10/0.42 sk_c8=sk_c9|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f422,f551])).
% 0.10/0.42 fof(f557,plain,(
% 0.10/0.42 multiply(sk_c9,sk_c7)=sk_c9|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f552,f100])).
% 0.10/0.42 fof(f563,plain,(
% 0.10/0.42 sk_c9=multiply(sk_c9,sk_c9)|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f552,f375])).
% 0.10/0.42 fof(f566,plain,(
% 0.10/0.42 inverse(sk_c9)=sk_c7|~sQ5_spl|~sQ6_spl|~sQ3_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f552,f96])).
% 0.10/0.42 fof(f568,plain,(
% 0.10/0.42 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c9)=sk_c9|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ14_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f552,f163])).
% 0.10/0.42 fof(f569,plain,(
% 0.10/0.42 ~inverse(identity)=sk_c9|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ14_spl),
% 0.10/0.42 inference(resolution,[status(thm)],[f568,f42])).
% 0.10/0.42 fof(f586,plain,(
% 0.10/0.42 sk_c8=sk_c7|~sQ25_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f286,f552])).
% 0.10/0.42 fof(f593,plain,(
% 0.10/0.42 inverse(sk_c5)=sk_c7|~sQ25_spl|~sQ8_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f286,f116])).
% 0.10/0.42 fof(f594,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c7|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f286,f85])).
% 0.10/0.42 fof(f597,plain,(
% 0.10/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ25_spl|~sQ27_spl)),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f599,f43])).
% 0.10/0.42 fof(f598,plain,(
% 0.10/0.42 ![X0]: (multiply(sk_c7,X0)=X0|~sQ25_spl|~sQ27_spl)),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f599,f42])).
% 0.10/0.42 fof(f599,plain,(
% 0.10/0.42 identity=sk_c7|~sQ25_spl|~sQ27_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f286,f298])).
% 0.10/0.42 fof(f603,plain,(
% 0.10/0.42 inverse(sk_c7)=sk_c7|~sQ25_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f286,f566])).
% 0.10/0.42 fof(f605,plain,(
% 0.10/0.42 ~inverse(sk_c7)=sk_c9|~sQ25_spl|~sQ27_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ14_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f599,f569])).
% 0.10/0.42 fof(f606,plain,(
% 0.10/0.42 ~sk_c7=sk_c9|~sQ25_spl|~sQ27_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ14_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f603,f605])).
% 0.10/0.42 fof(f607,plain,(
% 0.10/0.42 ~sk_c7=sk_c7|~sQ25_spl|~sQ27_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ14_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f286,f606])).
% 0.10/0.42 fof(f608,plain,(
% 0.10/0.42 $false|~sQ25_spl|~sQ27_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ14_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f607])).
% 0.10/0.42 fof(f609,plain,(
% 0.10/0.42 ~sQ25_spl|~sQ27_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ14_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f608])).
% 0.10/0.42 fof(f610,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c9|~sQ25_spl|~sQ16_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f286,f169])).
% 0.10/0.42 fof(f611,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c9|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ25_spl|~sQ16_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f586,f610])).
% 0.10/0.42 fof(f612,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ25_spl|~sQ16_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f286,f611])).
% 0.10/0.42 fof(f629,plain,(
% 0.10/0.42 multiply(sk_c5,sk_c6)=sk_c7|~sQ25_spl|~sQ27_spl|~sQ7_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f599,f327])).
% 0.10/0.42 fof(f630,plain,(
% 0.10/0.42 sk_c6=multiply(inverse(sk_c5),sk_c7)|~sQ25_spl|~sQ27_spl|~sQ7_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f629,f233])).
% 0.10/0.42 fof(f632,plain,(
% 0.10/0.42 sk_c6=multiply(sk_c7,sk_c7)|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f593,f630])).
% 0.10/0.42 fof(f633,plain,(
% 0.10/0.42 sk_c6=sk_c7|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f598,f632])).
% 0.10/0.42 fof(f636,plain,(
% 0.10/0.42 ![X0]: (multiply(sk_c6,X0)=X0|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl)),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f633,f598])).
% 0.10/0.42 fof(f637,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c6|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f633,f594])).
% 0.10/0.42 fof(f638,plain,(
% 0.10/0.42 inverse(sk_c5)=sk_c6|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ8_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f633,f593])).
% 0.10/0.42 fof(f642,plain,(
% 0.10/0.42 inverse(sk_c7)=sk_c6|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f633,f603])).
% 0.10/0.42 fof(f645,plain,(
% 0.10/0.42 sk_c8=sk_c6|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f633,f586])).
% 0.10/0.42 fof(f646,plain,(
% 0.10/0.42 identity=sk_c6|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f633,f599])).
% 0.10/0.42 fof(f647,plain,(
% 0.10/0.42 sk_c9=sk_c6|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f633,f286])).
% 0.10/0.42 fof(f650,plain,(
% 0.10/0.42 inverse(sk_c6)=sk_c6|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f633,f642])).
% 0.10/0.42 fof(f651,plain,(
% 0.10/0.42 sk_c5=sk_c6|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f112,f650])).
% 0.10/0.42 fof(f652,plain,(
% 0.10/0.42 sk_c5=sk_c7|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f651,f633])).
% 0.10/0.42 fof(f654,plain,(
% 0.10/0.42 sk_c8=sk_c5|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f651,f645])).
% 0.10/0.42 fof(f655,plain,(
% 0.10/0.42 identity=sk_c5|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f651,f646])).
% 0.10/0.42 fof(f656,plain,(
% 0.10/0.42 sk_c9=sk_c5|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f651,f647])).
% 0.10/0.42 fof(f657,plain,(
% 0.10/0.42 ![X0]: (multiply(sk_c5,X0)=X0|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f651,f636])).
% 0.10/0.42 fof(f660,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c5|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f651,f637])).
% 0.10/0.42 fof(f663,plain,(
% 0.10/0.42 inverse(sk_c5)=sk_c5|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ8_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f651,f638])).
% 0.10/0.42 fof(f712,plain,(
% 0.10/0.42 sk_c4=multiply(sk_c5,identity)|~sQ6_spl|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f652,f511])).
% 0.10/0.42 fof(f713,plain,(
% 0.10/0.42 sk_c4=identity|~sQ6_spl|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f657,f712])).
% 0.10/0.42 fof(f716,plain,(
% 0.10/0.42 sk_c4=sk_c5|~sQ6_spl|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f655,f713])).
% 0.10/0.42 fof(f724,plain,(
% 0.10/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f652,f597])).
% 0.10/0.42 fof(f727,plain,(
% 0.10/0.42 multiply(sk_c5,sk_c1)=sk_c5|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f660,f724])).
% 0.10/0.42 fof(f731,plain,(
% 0.10/0.42 sk_c1=sk_c5|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f657,f727])).
% 0.10/0.42 fof(f774,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c7|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ25_spl|~sQ16_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f652,f612])).
% 0.10/0.42 fof(f775,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c7|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ25_spl|~sQ16_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f652,f774])).
% 0.10/0.42 fof(f776,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c5|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ25_spl|~sQ16_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f652,f775])).
% 0.10/0.42 fof(f777,plain,(
% 0.10/0.42 ~inverse(inverse(sk_c5))=sk_c5|~sQ16_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl),
% 0.10/0.42 inference(resolution,[status(thm)],[f776,f724])).
% 0.10/0.42 fof(f782,plain,(
% 0.10/0.42 ~inverse(sk_c5)=sk_c5|~sQ16_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f663,f777])).
% 0.10/0.42 fof(f783,plain,(
% 0.10/0.42 ~sk_c5=sk_c5|~sQ16_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f663,f782])).
% 0.10/0.42 fof(f784,plain,(
% 0.10/0.42 $false|~sQ16_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f783])).
% 0.10/0.42 fof(f785,plain,(
% 0.10/0.42 ~sQ16_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f784])).
% 0.10/0.42 fof(f791,plain,(
% 0.10/0.42 ~sk_c7=sk_c9|~sQ12_spl|~sQ11_spl|sQ33_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f262,f403])).
% 0.10/0.42 fof(f793,plain,(
% 0.10/0.42 ~sQ25_spl|~sQ12_spl|~sQ11_spl|sQ33_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f791,f285,f147,f135,f401])).
% 0.10/0.42 fof(f794,plain,(
% 0.10/0.42 ~sQ33_spl|~sQ0_spl|sQ32_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f417,f401,f84,f397])).
% 0.10/0.42 fof(f796,plain,(
% 0.10/0.42 sQ33_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f552,f401,f95,f103,f107])).
% 0.10/0.42 fof(f811,plain,(
% 0.10/0.42 multiply(sk_c9,sk_c9)=sk_c7|~sQ33_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f402,f45])).
% 0.10/0.42 fof(f819,plain,(
% 0.10/0.42 ~inverse(identity)=sk_c9|~sQ33_spl|sQ36_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f402,f414])).
% 0.10/0.42 fof(f875,plain,(
% 0.10/0.42 sk_c8=sk_c7|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ33_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f877,f402])).
% 0.10/0.42 fof(f876,plain,(
% 0.10/0.42 ~identity=sk_c7|~sQ33_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|sQ27_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f877,f299])).
% 0.10/0.42 fof(f877,plain,(
% 0.10/0.42 sk_c9=sk_c7|~sQ33_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f811,f563])).
% 0.10/0.42 fof(f880,plain,(
% 0.10/0.42 multiply(sk_c7,sk_c7)=sk_c9|~sQ33_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f877,f557])).
% 0.10/0.42 fof(f881,plain,(
% 0.10/0.42 multiply(sk_c7,sk_c7)=sk_c7|~sQ33_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f877,f880])).
% 0.10/0.42 fof(f882,plain,(
% 0.10/0.42 sk_c7=multiply(inverse(sk_c7),sk_c7)|~sQ33_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f881,f233])).
% 0.10/0.42 fof(f884,plain,(
% 0.10/0.42 sk_c7=identity|~sQ33_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f43,f882])).
% 0.10/0.42 fof(f885,plain,(
% 0.10/0.42 $false|sQ27_spl|~sQ33_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f884,f876])).
% 0.10/0.42 fof(f886,plain,(
% 0.10/0.42 sQ27_spl|~sQ33_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ4_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f885])).
% 0.10/0.42 fof(f901,plain,(
% 0.10/0.42 ~sk_c7=sk_c7|~sQ33_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|sQ25_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f877,f287])).
% 0.10/0.42 fof(f902,plain,(
% 0.10/0.42 $false|~sQ33_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|sQ25_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f901])).
% 0.10/0.42 fof(f903,plain,(
% 0.10/0.42 ~sQ33_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|sQ25_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f902])).
% 0.10/0.42 fof(f920,plain,(
% 0.10/0.42 sk_c5=sk_c7|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ33_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f654,f875])).
% 0.10/0.42 fof(f926,plain,(
% 0.10/0.42 multiply(sk_c5,sk_c7)=sk_c8|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f716,f108])).
% 0.10/0.42 fof(f927,plain,(
% 0.10/0.42 multiply(sk_c5,sk_c5)=sk_c8|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f652,f926])).
% 0.10/0.42 fof(f928,plain,(
% 0.10/0.42 multiply(sk_c5,sk_c5)=sk_c5|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f654,f927])).
% 0.10/0.42 fof(f931,plain,(
% 0.10/0.42 ~multiply(sk_c1,sk_c5)=sk_c9|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|sQ10_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f654,f125])).
% 0.10/0.42 fof(f932,plain,(
% 0.10/0.42 ~multiply(sk_c1,sk_c5)=sk_c5|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|sQ10_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f656,f931])).
% 0.10/0.42 fof(f933,plain,(
% 0.10/0.42 ~multiply(sk_c5,sk_c5)=sk_c5|~sQ0_spl|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|sQ10_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f731,f932])).
% 0.10/0.42 fof(f934,plain,(
% 0.10/0.42 ~sk_c5=sk_c5|~sQ0_spl|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|sQ10_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f928,f933])).
% 0.10/0.42 fof(f935,plain,(
% 0.10/0.42 $false|~sQ0_spl|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|sQ10_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f934])).
% 0.10/0.42 fof(f936,plain,(
% 0.10/0.42 ~sQ0_spl|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|sQ10_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f935])).
% 0.10/0.42 fof(f939,plain,(
% 0.10/0.42 sk_c8=sk_c7|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f474,f402])).
% 0.10/0.42 fof(f950,plain,(
% 0.10/0.42 multiply(sk_c7,sk_c1)=sk_c7|~sQ27_spl|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f594,f597])).
% 0.10/0.42 fof(f956,plain,(
% 0.10/0.42 sk_c1=sk_c7|~sQ27_spl|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f598,f950])).
% 0.10/0.42 fof(f958,plain,(
% 0.10/0.42 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c8|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|~sQ17_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f939,f172])).
% 0.10/0.42 fof(f959,plain,(
% 0.10/0.42 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c7|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|~sQ17_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f939,f958])).
% 0.10/0.42 fof(f971,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c7)=sk_c9|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ33_spl|~sQ10_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f939,f124])).
% 0.10/0.42 fof(f972,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c7)=sk_c7|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ33_spl|~sQ10_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f474,f971])).
% 0.10/0.42 fof(f974,plain,(
% 0.10/0.42 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ33_spl|~sQ10_spl)),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f972,f44])).
% 0.10/0.42 fof(f976,plain,(
% 0.10/0.42 ![X0]: (X0=multiply(sk_c1,multiply(sk_c7,X0))|~sQ25_spl|~sQ27_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ33_spl|~sQ10_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f598,f974])).
% 0.10/0.42 fof(f977,plain,(
% 0.10/0.42 ![X0]: (X0=multiply(sk_c1,X0)|~sQ25_spl|~sQ27_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ33_spl|~sQ10_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f598,f976])).
% 0.10/0.42 fof(f980,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c1|~sQ27_spl|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f956,f594])).
% 0.10/0.42 fof(f982,plain,(
% 0.10/0.42 sk_c8=sk_c1|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f956,f939])).
% 0.10/0.42 fof(f983,plain,(
% 0.10/0.42 identity=sk_c1|~sQ0_spl|~sQ25_spl|~sQ27_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f956,f599])).
% 0.10/0.42 fof(f984,plain,(
% 0.10/0.42 sk_c1=sk_c9|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f956,f474])).
% 0.10/0.42 fof(f1016,plain,(
% 0.10/0.42 ![X0]: (multiply(sk_c1,X0)=X0|~sQ0_spl|~sQ25_spl|~sQ27_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f983,f42])).
% 0.10/0.42 fof(f1019,plain,(
% 0.10/0.42 ~inverse(sk_c1)=sk_c7|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|sQ3_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f982,f97])).
% 0.10/0.42 fof(f1020,plain,(
% 0.10/0.42 ~inverse(sk_c1)=sk_c1|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|sQ3_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f956,f1019])).
% 0.10/0.42 fof(f1025,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c1|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f956,f273])).
% 0.10/0.42 fof(f1033,plain,(
% 0.10/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c1|~sQ0_spl|~sQ25_spl|~sQ27_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f983,f43])).
% 0.10/0.42 fof(f1034,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c2)=sk_c1|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f1025,f1033])).
% 0.10/0.42 fof(f1037,plain,(
% 0.10/0.42 sk_c2=sk_c1|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1016,f1034])).
% 0.10/0.42 fof(f1053,plain,(
% 0.10/0.42 ~inverse(sk_c1)=sk_c2|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|sQ3_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f1037,f1020])).
% 0.10/0.42 fof(f1056,plain,(
% 0.10/0.42 sk_c2=sk_c9|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f1037,f984])).
% 0.10/0.42 fof(f1057,plain,(
% 0.10/0.42 sk_c2=sk_c7|~sQ11_spl|~sQ12_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f1037,f956])).
% 0.10/0.42 fof(f1058,plain,(
% 0.10/0.42 sk_c8=sk_c2|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f1037,f982])).
% 0.10/0.42 fof(f1059,plain,(
% 0.10/0.42 identity=sk_c2|~sQ11_spl|~sQ12_spl|~sQ0_spl|~sQ25_spl|~sQ27_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f1037,f983])).
% 0.10/0.42 fof(f1061,plain,(
% 0.10/0.42 ~inverse(sk_c2)=sk_c2|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|sQ3_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1037,f1053])).
% 0.10/0.42 fof(f1068,plain,(
% 0.10/0.42 ![X0]: (X0=multiply(sk_c2,X0)|~sQ25_spl|~sQ27_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ33_spl|~sQ10_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1037,f977])).
% 0.10/0.42 fof(f1071,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c1|~sQ11_spl|~sQ12_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1037,f980])).
% 0.10/0.42 fof(f1072,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c2|~sQ11_spl|~sQ12_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1037,f1071])).
% 0.10/0.42 fof(f1085,plain,(
% 0.10/0.42 ~inverse(sk_c2)=sk_c9|~sQ11_spl|~sQ12_spl|~sQ0_spl|~sQ25_spl|~sQ27_spl|sQ26_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1059,f290])).
% 0.10/0.42 fof(f1086,plain,(
% 0.10/0.42 ~sk_c2=sk_c9|~sQ11_spl|~sQ12_spl|~sQ0_spl|~sQ25_spl|~sQ27_spl|sQ26_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1072,f1085])).
% 0.10/0.42 fof(f1087,plain,(
% 0.10/0.42 ~sk_c2=sk_c2|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ0_spl|~sQ25_spl|~sQ27_spl|sQ26_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1056,f1086])).
% 0.10/0.42 fof(f1088,plain,(
% 0.10/0.42 $false|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ0_spl|~sQ25_spl|~sQ27_spl|sQ26_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f1087])).
% 0.10/0.42 fof(f1089,plain,(
% 0.10/0.42 ~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ0_spl|~sQ25_spl|~sQ27_spl|sQ26_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f1088])).
% 0.10/0.42 fof(f1099,plain,(
% 0.10/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1056,f431])).
% 0.10/0.42 fof(f1114,plain,(
% 0.10/0.42 ~sk_c2=sk_c2|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|sQ3_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1072,f1061])).
% 0.10/0.42 fof(f1115,plain,(
% 0.10/0.42 $false|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|sQ3_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f1114])).
% 0.10/0.42 fof(f1116,plain,(
% 0.10/0.42 ~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|sQ3_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f1115])).
% 0.10/0.42 fof(f1346,plain,(
% 0.10/0.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c7)=sk_c7|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|~sQ17_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1057,f959])).
% 0.10/0.42 fof(f1347,plain,(
% 0.10/0.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c7|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|~sQ17_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1057,f1346])).
% 0.10/0.42 fof(f1348,plain,(
% 0.10/0.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c2|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|~sQ33_spl|~sQ17_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1057,f1347])).
% 0.10/0.42 fof(f1402,plain,(
% 0.10/0.42 ~multiply(sk_c2,sk_c7)=sk_c8|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|sQ4_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1056,f101])).
% 0.10/0.42 fof(f1403,plain,(
% 0.10/0.42 ~sk_c7=sk_c8|~sQ33_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|sQ4_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1068,f1402])).
% 0.10/0.42 fof(f1404,plain,(
% 0.10/0.42 ~sk_c2=sk_c8|~sQ33_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|sQ4_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1057,f1403])).
% 0.10/0.42 fof(f1405,plain,(
% 0.10/0.42 ~sk_c2=sk_c2|~sQ33_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|sQ4_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f1058,f1404])).
% 0.10/0.42 fof(f1406,plain,(
% 0.10/0.42 $false|~sQ33_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|sQ4_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f1405])).
% 0.10/0.42 fof(f1407,plain,(
% 0.10/0.42 ~sQ33_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ10_spl|sQ4_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f1406])).
% 0.10/0.43 fof(f1466,plain,(
% 0.10/0.43 ~inverse(inverse(sk_c2))=sk_c2|~sQ33_spl|~sQ17_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.10/0.43 inference(resolution,[status(thm)],[f1348,f1099])).
% 0.10/0.43 fof(f1471,plain,(
% 0.10/0.43 ~inverse(sk_c2)=sk_c2|~sQ33_spl|~sQ17_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f1072,f1466])).
% 0.10/0.43 fof(f1472,plain,(
% 0.10/0.43 ~sk_c2=sk_c2|~sQ33_spl|~sQ17_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f1072,f1471])).
% 0.10/0.43 fof(f1473,plain,(
% 0.10/0.43 $false|~sQ33_spl|~sQ17_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.10/0.43 inference(trivial_equality_resolution,[status(thm)],[f1472])).
% 0.10/0.43 fof(f1474,plain,(
% 0.10/0.43 ~sQ33_spl|~sQ17_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f1473])).
% 0.10/0.43 fof(f1475,plain,(
% 0.10/0.43 ~inverse(inverse(sk_c2))=sk_c9|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ22_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f1057,f265])).
% 0.10/0.43 fof(f1476,plain,(
% 0.10/0.43 ~inverse(sk_c2)=sk_c9|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ22_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f1072,f1475])).
% 0.10/0.43 fof(f1477,plain,(
% 0.10/0.43 ~sk_c2=sk_c9|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ22_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f1072,f1476])).
% 0.10/0.43 fof(f1478,plain,(
% 0.10/0.43 ~sk_c2=sk_c2|~sQ10_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ22_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f1056,f1477])).
% 0.10/0.43 fof(f1479,plain,(
% 0.10/0.43 $false|~sQ10_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ22_spl),
% 0.10/0.43 inference(trivial_equality_resolution,[status(thm)],[f1478])).
% 0.10/0.43 fof(f1480,plain,(
% 0.10/0.43 ~sQ10_spl|~sQ27_spl|~sQ25_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|sQ22_spl),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f1479])).
% 0.10/0.43 fof(f1488,plain,(
% 0.10/0.43 sk_c9=sk_c5|~sQ8_spl|~sQ27_spl|~sQ7_spl|~sQ25_spl|~sQ33_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f920,f877])).
% 0.10/0.43 fof(f1496,plain,(
% 0.10/0.43 inverse(sk_c5)=sk_c8|~sQ6_spl|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f716,f104])).
% 0.10/0.43 fof(f1497,plain,(
% 0.10/0.43 inverse(sk_c5)=sk_c5|~sQ6_spl|~sQ8_spl|~sQ25_spl|~sQ27_spl|~sQ7_spl|~sQ3_spl|~sQ5_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f654,f1496])).
% 0.10/0.43 fof(f1508,plain,(
% 0.10/0.43 ~inverse(sk_c5)=sk_c9|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl|~sQ33_spl|sQ36_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f655,f819])).
% 0.10/0.43 fof(f1509,plain,(
% 0.10/0.43 ~sk_c5=sk_c9|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl|~sQ33_spl|sQ36_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f1497,f1508])).
% 0.10/0.43 fof(f1510,plain,(
% 0.10/0.43 ~sk_c5=sk_c5|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl|~sQ33_spl|sQ36_spl),
% 0.10/0.43 inference(forward_demodulation,[status(thm)],[f1488,f1509])).
% 0.10/0.43 fof(f1511,plain,(
% 0.10/0.43 $false|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl|~sQ33_spl|sQ36_spl),
% 0.10/0.43 inference(trivial_equality_resolution,[status(thm)],[f1510])).
% 0.10/0.43 fof(f1512,plain,(
% 0.10/0.43 ~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ3_spl|~sQ8_spl|~sQ7_spl|~sQ25_spl|~sQ27_spl|~sQ33_spl|sQ36_spl),
% 0.10/0.43 inference(contradiction_clause,[status(thm)],[f1511])).
% 0.10/0.43 fof(f1513,plain,(
% 0.10/0.43 $false),
% 0.10/0.43 inference(sat_refutation,[status(thm)],[f90,f94,f98,f102,f106,f110,f114,f118,f122,f126,f127,f128,f129,f130,f131,f132,f133,f138,f139,f140,f141,f142,f143,f144,f145,f146,f150,f151,f152,f153,f154,f155,f156,f157,f158,f177,f211,f215,f223,f226,f291,f316,f330,f358,f400,f411,f415,f419,f476,f609,f785,f793,f794,f796,f886,f903,f936,f1089,f1116,f1407,f1474,f1480,f1512])).
% 0.10/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.45 % Elapsed time: 0.066547 seconds
% 0.10/0.45 % CPU time: 0.243989 seconds
% 0.10/0.45 % Total memory used: 105.090 MB
% 0.10/0.45 % Net memory used: 104.876 MB
%------------------------------------------------------------------------------