%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP237-1 : 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 : n016.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 12:36:18 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP237-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.52 % Computer : n016.cluster.edu
% 0.09/0.52 % Model : x86_64 x86_64
% 0.09/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52 % Memory : 8046.5625MB
% 0.09/0.52 % OS : Linux 6.8.0-71-generic
% 0.09/0.52 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Sun Sep 20 20:11:52 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.54 % Drodi V4.1.1
% 0.14/0.58 % Refutation found
% 0.14/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.58 fof(f1,axiom,(
% 0.14/0.58 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f2,axiom,(
% 0.14/0.58 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f3,axiom,(
% 0.14/0.58 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f4,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c9) = sk_c8| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f5,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c9) = sk_c8| inverse(sk_c4) = sk_c5 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f7,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c9) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f8,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c9) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f9,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c9) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f10,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f11,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f12,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f13,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f14,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f15,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f16,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f17,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f18,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f19,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f20,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f21,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f22,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f23,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c4) = sk_c5 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f24,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f25,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f26,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f27,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f28,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f29,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c4) = sk_c5 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f30,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f31,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f32,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f33,negated_conjecture,(
% 0.14/0.58 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f34,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c5) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f35,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c5 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f36,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f37,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c2) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f38,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f39,negated_conjecture,(
% 0.14/0.58 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f40,negated_conjecture,(
% 0.14/0.58 (![X4,X5,X6,X2,X1,X3,X7]: (( inverse(sk_c9) != sk_c8| inverse(X4) != sk_c9| multiply(X4,sk_c8) != sk_c9| multiply(sk_c9,X5) != sk_c8| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9| multiply(X2,X1) != sk_c9| inverse(X2) != X1| multiply(X1,sk_c8) != sk_c9| multiply(sk_c9,X3) != sk_c8| multiply(X7,sk_c9) != X3| inverse(X7) != sk_c9 ) ))),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f41,plain,(
% 0.14/0.58 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.58 fof(f42,plain,(
% 0.14/0.58 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.58 fof(f43,plain,(
% 0.14/0.58 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.58 fof(f44,plain,(
% 0.14/0.58 inverse(sk_c9)=sk_c8|multiply(sk_c4,sk_c5)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.58 fof(f45,plain,(
% 0.14/0.58 inverse(sk_c9)=sk_c8|inverse(sk_c4)=sk_c5),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.58 fof(f47,plain,(
% 0.14/0.58 inverse(sk_c9)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.58 fof(f48,plain,(
% 0.14/0.58 inverse(sk_c9)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.58 fof(f49,plain,(
% 0.14/0.58 inverse(sk_c9)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.58 fof(f50,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.58 fof(f51,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.58 fof(f52,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.58 fof(f53,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.58 fof(f54,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.58 fof(f55,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.58 fof(f56,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.58 fof(f57,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.58 fof(f58,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.58 fof(f59,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.58 fof(f60,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.58 fof(f61,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.58 fof(f62,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c4,sk_c5)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.58 fof(f63,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c4)=sk_c5),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.58 fof(f64,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.58 fof(f65,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.58 fof(f66,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.58 fof(f67,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.58 fof(f68,plain,(
% 0.14/0.58 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c4,sk_c5)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.58 fof(f69,plain,(
% 0.14/0.58 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c4)=sk_c5),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.58 fof(f70,plain,(
% 0.14/0.58 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.58 fof(f71,plain,(
% 0.14/0.58 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.58 fof(f72,plain,(
% 0.14/0.58 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.58 fof(f73,plain,(
% 0.14/0.58 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c6)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.58 fof(f74,plain,(
% 0.14/0.58 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c5)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.58 fof(f75,plain,(
% 0.14/0.58 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c5),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.58 fof(f76,plain,(
% 0.14/0.58 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.58 fof(f77,plain,(
% 0.14/0.58 inverse(sk_c2)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.58 fof(f78,plain,(
% 0.14/0.58 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.58 fof(f79,plain,(
% 0.14/0.58 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.58 fof(f80,plain,(
% 0.14/0.58 ![X7]: ((![X3]: (((![X1]: ((![X2]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c9)=sk_c8|~inverse(X4)=sk_c9)|~multiply(X4,sk_c8)=sk_c9))|~multiply(sk_c9,X5)=sk_c8)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9))|~multiply(X2,X1)=sk_c9)|~inverse(X2)=X1))|~multiply(X1,sk_c8)=sk_c9))|~multiply(sk_c9,X3)=sk_c8)|~multiply(X7,sk_c9)=X3))|~inverse(X7)=sk_c9)),
% 0.14/0.58 inference(miniscoping,[status(thm)],[f40])).
% 0.14/0.58 fof(f81,plain,(
% 0.14/0.58 ![X0,X1,X2,X3,X4,X5,X6]: (~inverse(sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9|~multiply(X3,X4)=sk_c9|~inverse(X3)=X4|~multiply(X4,sk_c8)=sk_c9|~multiply(sk_c9,X5)=sk_c8|~multiply(X6,sk_c9)=X5|~inverse(X6)=sk_c9)),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f80])).
% 0.14/0.58 fof(f82,definition,(
% 0.14/0.58 sQ0_spl <=> (inverse(sk_c9)=sk_c8)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f83,plain,(
% 0.14/0.58 inverse(sk_c9)=sk_c8|~sQ0_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f82])).
% 0.14/0.58 fof(f84,plain,(
% 0.14/0.58 ~inverse(sk_c9)=sk_c8|sQ0_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f82])).
% 0.14/0.58 fof(f85,definition,(
% 0.14/0.58 sQ1_spl <=> (multiply(sk_c4,sk_c5)=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f86,plain,(
% 0.14/0.58 multiply(sk_c4,sk_c5)=sk_c9|~sQ1_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.58 fof(f88,plain,(
% 0.14/0.58 sQ0_spl|sQ1_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.14/0.58 fof(f89,definition,(
% 0.14/0.58 sQ2_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f90,plain,(
% 0.14/0.58 inverse(sk_c4)=sk_c5|~sQ2_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.58 fof(f92,plain,(
% 0.14/0.58 sQ0_spl|sQ2_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.14/0.58 fof(f93,definition,(
% 0.14/0.58 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f97,definition,(
% 0.14/0.58 sQ4_spl <=> (multiply(sk_c9,sk_c7)=sk_c8)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f98,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c7)=sk_c8|~sQ4_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.58 fof(f100,plain,(
% 0.14/0.58 sQ0_spl|sQ4_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.14/0.58 fof(f101,definition,(
% 0.14/0.58 sQ5_spl <=> (multiply(sk_c6,sk_c9)=sk_c7)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f102,plain,(
% 0.14/0.58 multiply(sk_c6,sk_c9)=sk_c7|~sQ5_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.58 fof(f104,plain,(
% 0.14/0.58 sQ0_spl|sQ5_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.14/0.58 fof(f105,definition,(
% 0.14/0.58 sQ6_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f106,plain,(
% 0.14/0.58 inverse(sk_c6)=sk_c9|~sQ6_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.58 fof(f108,plain,(
% 0.14/0.58 sQ0_spl|sQ6_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.14/0.58 fof(f109,definition,(
% 0.14/0.58 sQ7_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f110,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c9|~sQ7_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.58 fof(f112,plain,(
% 0.14/0.58 sQ7_spl|sQ1_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.14/0.58 fof(f113,plain,(
% 0.14/0.58 sQ7_spl|sQ2_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.14/0.58 fof(f114,plain,(
% 0.14/0.58 sQ7_spl|sQ3_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.14/0.58 fof(f115,plain,(
% 0.14/0.58 sQ7_spl|sQ4_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.14/0.58 fof(f116,plain,(
% 0.14/0.58 sQ7_spl|sQ5_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.14/0.58 fof(f117,plain,(
% 0.14/0.58 sQ7_spl|sQ6_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.14/0.58 fof(f118,definition,(
% 0.14/0.58 sQ8_spl <=> (multiply(sk_c1,sk_c8)=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f119,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c8)=sk_c9|~sQ8_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f118])).
% 0.14/0.58 fof(f121,plain,(
% 0.14/0.58 sQ8_spl|sQ1_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.14/0.58 fof(f122,plain,(
% 0.14/0.58 sQ8_spl|sQ2_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.14/0.58 fof(f123,plain,(
% 0.14/0.58 sQ8_spl|sQ3_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.14/0.58 fof(f124,plain,(
% 0.14/0.58 sQ8_spl|sQ4_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.14/0.58 fof(f125,plain,(
% 0.14/0.58 sQ8_spl|sQ5_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.14/0.58 fof(f126,plain,(
% 0.14/0.58 sQ8_spl|sQ6_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.14/0.58 fof(f127,definition,(
% 0.14/0.58 sQ9_spl <=> (multiply(sk_c9,sk_c3)=sk_c8)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f128,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c3)=sk_c8|~sQ9_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f127])).
% 0.14/0.58 fof(f130,plain,(
% 0.14/0.58 sQ9_spl|sQ1_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.14/0.58 fof(f131,plain,(
% 0.14/0.58 sQ9_spl|sQ2_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.14/0.58 fof(f132,plain,(
% 0.14/0.58 sQ9_spl|sQ3_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.14/0.58 fof(f133,plain,(
% 0.14/0.58 sQ9_spl|sQ4_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.14/0.58 fof(f134,plain,(
% 0.14/0.58 sQ9_spl|sQ5_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.14/0.58 fof(f135,plain,(
% 0.14/0.58 sQ9_spl|sQ6_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.14/0.58 fof(f136,definition,(
% 0.14/0.58 sQ10_spl <=> (multiply(sk_c2,sk_c9)=sk_c3)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f137,plain,(
% 0.14/0.58 multiply(sk_c2,sk_c9)=sk_c3|~sQ10_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.58 fof(f139,plain,(
% 0.14/0.58 sQ10_spl|sQ1_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.14/0.58 fof(f140,plain,(
% 0.14/0.58 sQ10_spl|sQ2_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.14/0.58 fof(f141,plain,(
% 0.14/0.58 sQ10_spl|sQ3_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.14/0.58 fof(f142,plain,(
% 0.14/0.58 sQ10_spl|sQ4_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.14/0.58 fof(f143,plain,(
% 0.14/0.58 sQ10_spl|sQ5_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.14/0.58 fof(f144,plain,(
% 0.14/0.58 sQ10_spl|sQ6_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.14/0.58 fof(f145,definition,(
% 0.14/0.58 sQ11_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f146,plain,(
% 0.14/0.58 inverse(sk_c2)=sk_c9|~sQ11_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f145])).
% 0.14/0.58 fof(f148,plain,(
% 0.14/0.58 sQ11_spl|sQ1_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.14/0.58 fof(f149,plain,(
% 0.14/0.58 sQ11_spl|sQ2_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.14/0.58 fof(f150,plain,(
% 0.14/0.58 sQ11_spl|sQ3_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.14/0.58 fof(f151,plain,(
% 0.14/0.58 sQ11_spl|sQ4_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.14/0.58 fof(f152,plain,(
% 0.14/0.58 sQ11_spl|sQ5_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.14/0.58 fof(f153,plain,(
% 0.14/0.58 sQ11_spl|sQ6_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.14/0.58 fof(f154,definition,(
% 0.14/0.58 ![X0]: (sQ12_spl <=> (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9))),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f155,plain,(
% 0.14/0.58 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ12_spl)),
% 0.14/0.58 inference(component_clause,[status(thm)],[f154])).
% 0.14/0.58 fof(f157,definition,(
% 0.14/0.58 ![X1,X2]: (sQ13_spl <=> (~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9))),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f158,plain,(
% 0.14/0.58 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ13_spl)),
% 0.14/0.58 inference(component_clause,[status(thm)],[f157])).
% 0.14/0.58 fof(f160,definition,(
% 0.14/0.58 ![X3,X4]: (sQ14_spl <=> (~multiply(X3,X4)=sk_c9|~inverse(X3)=X4|~multiply(X4,sk_c8)=sk_c9))),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f161,plain,(
% 0.14/0.58 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c9|~sQ14_spl)),
% 0.14/0.58 inference(component_clause,[status(thm)],[f160])).
% 0.14/0.58 fof(f163,plain,(
% 0.14/0.58 ~sQ0_spl|sQ12_spl|sQ13_spl|sQ14_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f81,f82,f154,f157,f160])).
% 0.14/0.58 fof(f164,plain,(
% 0.14/0.58 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c8)=sk_c9|~sQ14_spl)),
% 0.14/0.58 inference(destructive_equality_resolution,[status(thm)],[f161])).
% 0.14/0.58 fof(f191,plain,(
% 0.14/0.58 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|~multiply(sk_c5,sk_c8)=sk_c9|~sQ14_spl|~sQ2_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f90,f164])).
% 0.14/0.58 fof(f192,plain,(
% 0.14/0.58 ~multiply(sk_c6,inverse(sk_c6))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ14_spl|~sQ6_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f106,f164])).
% 0.14/0.58 fof(f193,plain,(
% 0.14/0.58 ~multiply(sk_c1,inverse(sk_c1))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ14_spl|~sQ7_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f110,f164])).
% 0.14/0.58 fof(f194,plain,(
% 0.14/0.58 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|~multiply(sk_c9,sk_c8)=sk_c9|~sQ14_spl|~sQ11_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f146,f164])).
% 0.14/0.58 fof(f195,definition,(
% 0.14/0.58 sQ15_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f198,plain,(
% 0.14/0.58 ~sQ15_spl|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f191,f195,f93,f160,f89])).
% 0.14/0.58 fof(f199,definition,(
% 0.14/0.58 sQ16_spl <=> (multiply(sk_c6,inverse(sk_c6))=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f201,plain,(
% 0.14/0.58 ~multiply(sk_c6,inverse(sk_c6))=sk_c9|sQ16_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f199])).
% 0.14/0.58 fof(f202,definition,(
% 0.14/0.58 sQ17_spl <=> (multiply(sk_c9,sk_c8)=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f204,plain,(
% 0.14/0.58 ~multiply(sk_c9,sk_c8)=sk_c9|sQ17_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f202])).
% 0.14/0.58 fof(f205,plain,(
% 0.14/0.58 ~sQ16_spl|~sQ17_spl|~sQ14_spl|~sQ6_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f192,f199,f202,f160,f105])).
% 0.14/0.58 fof(f206,definition,(
% 0.14/0.58 sQ18_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f209,plain,(
% 0.14/0.58 ~sQ18_spl|~sQ17_spl|~sQ14_spl|~sQ7_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f193,f206,f202,f160,f109])).
% 0.14/0.58 fof(f210,definition,(
% 0.14/0.58 sQ19_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f212,plain,(
% 0.14/0.58 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|sQ19_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f210])).
% 0.14/0.58 fof(f213,plain,(
% 0.14/0.58 ~sQ19_spl|~sQ17_spl|~sQ14_spl|~sQ11_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f194,f210,f202,f160,f145])).
% 0.14/0.58 fof(f214,plain,(
% 0.14/0.58 ~multiply(sk_c2,sk_c9)=sk_c9|~sQ11_spl|sQ19_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f146,f212])).
% 0.14/0.58 fof(f215,plain,(
% 0.14/0.58 ~sk_c3=sk_c9|~sQ10_spl|~sQ11_spl|sQ19_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f137,f214])).
% 0.14/0.58 fof(f217,plain,(
% 0.14/0.58 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~sQ13_spl)),
% 0.14/0.58 inference(destructive_equality_resolution,[status(thm)],[f158])).
% 0.14/0.58 fof(f219,plain,(
% 0.14/0.58 ~multiply(sk_c9,sk_c7)=sk_c8|~inverse(sk_c6)=sk_c9|~sQ13_spl|~sQ5_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f102,f217])).
% 0.14/0.58 fof(f220,plain,(
% 0.14/0.58 ~multiply(sk_c9,sk_c3)=sk_c8|~inverse(sk_c2)=sk_c9|~sQ13_spl|~sQ10_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f137,f217])).
% 0.14/0.58 fof(f221,plain,(
% 0.14/0.58 ~sQ4_spl|~sQ6_spl|~sQ13_spl|~sQ5_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f219,f97,f105,f157,f101])).
% 0.14/0.58 fof(f222,plain,(
% 0.14/0.58 ~sQ9_spl|~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f220,f127,f145,f157,f136])).
% 0.14/0.58 fof(f225,plain,(
% 0.14/0.58 multiply(sk_c8,sk_c9)=identity|~sQ0_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f83,f42])).
% 0.14/0.58 fof(f226,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c1)=identity|~sQ7_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f110,f42])).
% 0.14/0.58 fof(f227,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c2)=identity|~sQ11_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f146,f42])).
% 0.14/0.58 fof(f228,plain,(
% 0.14/0.58 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.14/0.58 fof(f229,plain,(
% 0.14/0.58 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f41,f228])).
% 0.14/0.58 fof(f255,plain,(
% 0.14/0.58 sk_c5=multiply(inverse(sk_c4),sk_c9)|~sQ1_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f86,f229])).
% 0.14/0.58 fof(f258,plain,(
% 0.14/0.58 sk_c8=multiply(inverse(sk_c1),sk_c9)|~sQ8_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f119,f229])).
% 0.14/0.58 fof(f262,plain,(
% 0.14/0.58 sk_c3=multiply(inverse(sk_c9),sk_c8)|~sQ9_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f128,f229])).
% 0.14/0.58 fof(f263,plain,(
% 0.14/0.58 sk_c9=multiply(inverse(sk_c2),sk_c3)|~sQ10_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f137,f229])).
% 0.14/0.58 fof(f266,plain,(
% 0.14/0.58 sk_c5=multiply(sk_c5,sk_c9)|~sQ2_spl|~sQ1_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f90,f255])).
% 0.14/0.58 fof(f267,plain,(
% 0.14/0.58 sk_c8=multiply(sk_c9,sk_c9)|~sQ7_spl|~sQ8_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f110,f258])).
% 0.14/0.58 fof(f271,plain,(
% 0.14/0.58 sk_c3=multiply(sk_c8,sk_c8)|~sQ0_spl|~sQ9_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f83,f262])).
% 0.14/0.58 fof(f272,plain,(
% 0.14/0.58 sk_c9=multiply(sk_c9,sk_c3)|~sQ11_spl|~sQ10_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f146,f263])).
% 0.14/0.58 fof(f273,plain,(
% 0.14/0.58 sk_c9=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f128,f272])).
% 0.14/0.58 fof(f275,plain,(
% 0.14/0.58 multiply(sk_c8,sk_c2)=identity|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f273,f227])).
% 0.14/0.58 fof(f277,plain,(
% 0.14/0.58 multiply(sk_c8,sk_c8)=identity|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f273,f225])).
% 0.14/0.58 fof(f280,plain,(
% 0.14/0.58 inverse(sk_c8)=sk_c8|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f273,f83])).
% 0.14/0.58 fof(f311,definition,(
% 0.14/0.58 sQ23_spl <=> (sk_c8=sk_c8)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f313,plain,(
% 0.14/0.58 ~sk_c8=sk_c8|sQ23_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f311])).
% 0.14/0.58 fof(f328,plain,(
% 0.14/0.58 $false|sQ23_spl),
% 0.14/0.58 inference(trivial_equality_resolution,[status(thm)],[f313])).
% 0.14/0.58 fof(f329,plain,(
% 0.14/0.58 sQ23_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f328])).
% 0.14/0.58 fof(f415,plain,(
% 0.14/0.58 multiply(sk_c9,sk_c6)=identity|~sQ6_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f106,f42])).
% 0.14/0.58 fof(f422,plain,(
% 0.14/0.58 ~inverse(sk_c8)=sk_c9|~sk_c3=sk_c9|~sQ12_spl|~sQ0_spl|~sQ9_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f271,f155])).
% 0.14/0.58 fof(f423,plain,(
% 0.14/0.58 ~inverse(identity)=sk_c9|~sk_c8=sk_c9|~sQ12_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f41,f155])).
% 0.14/0.58 fof(f426,definition,(
% 0.14/0.58 sQ28_spl <=> (inverse(sk_c8)=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f428,plain,(
% 0.14/0.58 ~inverse(sk_c8)=sk_c9|sQ28_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f426])).
% 0.14/0.58 fof(f429,definition,(
% 0.14/0.58 sQ29_spl <=> (sk_c3=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f431,plain,(
% 0.14/0.58 ~sk_c3=sk_c9|sQ29_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f429])).
% 0.14/0.58 fof(f432,plain,(
% 0.14/0.58 ~sQ28_spl|~sQ29_spl|~sQ12_spl|~sQ0_spl|~sQ9_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f422,f426,f429,f154,f82,f127])).
% 0.14/0.58 fof(f433,definition,(
% 0.14/0.58 sQ30_spl <=> (inverse(identity)=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f435,plain,(
% 0.14/0.58 ~inverse(identity)=sk_c9|sQ30_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f433])).
% 0.14/0.58 fof(f436,definition,(
% 0.14/0.58 sQ31_spl <=> (sk_c8=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f437,plain,(
% 0.14/0.58 sk_c8=sk_c9|~sQ31_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f436])).
% 0.14/0.58 fof(f438,plain,(
% 0.14/0.58 ~sk_c8=sk_c9|sQ31_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f436])).
% 0.14/0.58 fof(f439,plain,(
% 0.14/0.58 ~sQ30_spl|~sQ31_spl|~sQ12_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f423,f433,f436,f154])).
% 0.14/0.58 fof(f447,plain,(
% 0.14/0.58 ~multiply(sk_c6,sk_c9)=sk_c9|~sQ6_spl|sQ16_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f106,f201])).
% 0.14/0.58 fof(f456,definition,(
% 0.14/0.58 sQ35_spl <=> (sk_c9=sk_c9)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f458,plain,(
% 0.14/0.58 ~sk_c9=sk_c9|sQ35_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f456])).
% 0.14/0.58 fof(f465,plain,(
% 0.14/0.58 sk_c9=multiply(inverse(sk_c5),sk_c5)|~sQ2_spl|~sQ1_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f266,f229])).
% 0.14/0.58 fof(f467,plain,(
% 0.14/0.58 sk_c9=identity|~sQ2_spl|~sQ1_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f42,f465])).
% 0.14/0.58 fof(f468,plain,(
% 0.14/0.58 ~inverse(sk_c9)=sk_c9|~sQ2_spl|~sQ1_spl|sQ30_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f467,f435])).
% 0.14/0.58 fof(f469,plain,(
% 0.14/0.58 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ2_spl|~sQ1_spl)),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f467,f42])).
% 0.14/0.58 fof(f470,plain,(
% 0.14/0.58 ![X0]: (multiply(sk_c9,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f467,f41])).
% 0.14/0.58 fof(f471,plain,(
% 0.14/0.58 ~sk_c8=sk_c9|~sQ0_spl|~sQ2_spl|~sQ1_spl|sQ30_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f83,f468])).
% 0.14/0.58 fof(f472,plain,(
% 0.14/0.58 sk_c8=sk_c9|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f470,f267])).
% 0.14/0.58 fof(f482,plain,(
% 0.14/0.58 ~sk_c8=sk_c9|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f470,f204])).
% 0.14/0.58 fof(f483,plain,(
% 0.14/0.58 $false|sQ35_spl),
% 0.14/0.58 inference(trivial_equality_resolution,[status(thm)],[f458])).
% 0.14/0.58 fof(f484,plain,(
% 0.14/0.58 sQ35_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f483])).
% 0.14/0.58 fof(f494,plain,(
% 0.14/0.58 multiply(sk_c8,sk_c3)=sk_c8|~sQ11_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f273,f128])).
% 0.14/0.58 fof(f505,plain,(
% 0.14/0.58 multiply(sk_c8,sk_c1)=identity|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f273,f226])).
% 0.14/0.58 fof(f506,plain,(
% 0.14/0.58 sk_c1=multiply(inverse(sk_c8),identity)|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f505,f229])).
% 0.14/0.58 fof(f508,plain,(
% 0.14/0.58 sk_c1=multiply(sk_c8,identity)|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f280,f506])).
% 0.14/0.58 fof(f514,plain,(
% 0.14/0.58 sk_c2=multiply(inverse(sk_c8),identity)|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f275,f229])).
% 0.14/0.58 fof(f516,plain,(
% 0.14/0.58 sk_c2=multiply(sk_c8,identity)|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f280,f514])).
% 0.14/0.58 fof(f519,plain,(
% 0.14/0.58 multiply(sk_c8,sk_c1)=sk_c3|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f522,f505])).
% 0.14/0.58 fof(f522,plain,(
% 0.14/0.58 sk_c3=identity|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f271,f277])).
% 0.14/0.58 fof(f564,plain,(
% 0.14/0.58 sk_c9=multiply(inverse(sk_c6),sk_c7)|~sQ5_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f102,f229])).
% 0.14/0.58 fof(f566,plain,(
% 0.14/0.58 sk_c9=multiply(sk_c9,sk_c7)|~sQ6_spl|~sQ5_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f106,f564])).
% 0.14/0.58 fof(f567,plain,(
% 0.14/0.58 sk_c9=sk_c7|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f470,f566])).
% 0.14/0.58 fof(f572,plain,(
% 0.14/0.58 ~inverse(sk_c7)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f567,f84])).
% 0.14/0.58 fof(f573,plain,(
% 0.14/0.58 ![X0]: (multiply(sk_c7,X0)=X0|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl)),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f567,f470])).
% 0.14/0.58 fof(f574,plain,(
% 0.14/0.58 inverse(sk_c6)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f567,f106])).
% 0.14/0.58 fof(f575,plain,(
% 0.14/0.58 sk_c7=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f567,f467])).
% 0.14/0.58 fof(f578,plain,(
% 0.14/0.58 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl)),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f574,f229])).
% 0.14/0.58 fof(f579,plain,(
% 0.14/0.58 ![X0]: (X0=multiply(sk_c6,X0)|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl)),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f573,f578])).
% 0.14/0.58 fof(f583,plain,(
% 0.14/0.58 multiply(sk_c7,sk_c6)=identity|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f567,f415])).
% 0.14/0.58 fof(f584,plain,(
% 0.14/0.58 sk_c7=sk_c6|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f585,f575])).
% 0.14/0.58 fof(f585,plain,(
% 0.14/0.58 sk_c6=identity|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f573,f583])).
% 0.14/0.58 fof(f586,plain,(
% 0.14/0.58 multiply(sk_c7,sk_c7)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f567,f98])).
% 0.14/0.58 fof(f587,plain,(
% 0.14/0.58 ~inverse(sk_c7)=sk_c7|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f588,f572])).
% 0.14/0.58 fof(f588,plain,(
% 0.14/0.58 sk_c7=sk_c8|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f573,f586])).
% 0.14/0.58 fof(f596,plain,(
% 0.14/0.58 sk_c6=sk_c8|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f584,f588])).
% 0.14/0.58 fof(f597,plain,(
% 0.14/0.58 inverse(sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f584,f574])).
% 0.14/0.58 fof(f599,plain,(
% 0.14/0.58 sk_c9=sk_c6|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f584,f567])).
% 0.14/0.58 fof(f602,plain,(
% 0.14/0.58 ~inverse(sk_c6)=sk_c7|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f584,f587])).
% 0.14/0.58 fof(f603,plain,(
% 0.14/0.58 ~inverse(sk_c6)=sk_c6|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f584,f602])).
% 0.14/0.58 fof(f606,plain,(
% 0.14/0.58 $false|~sQ4_spl|sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.58 inference(forward_subsumption_resolution,[status(thm)],[f597,f603])).
% 0.14/0.58 fof(f607,plain,(
% 0.14/0.58 ~sQ4_spl|sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f606])).
% 0.14/0.58 fof(f608,plain,(
% 0.14/0.58 ~sk_c6=sk_c9|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ31_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f596,f438])).
% 0.14/0.58 fof(f609,plain,(
% 0.14/0.58 ~sk_c6=sk_c6|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ31_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f599,f608])).
% 0.14/0.58 fof(f610,plain,(
% 0.14/0.58 $false|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ31_spl),
% 0.14/0.58 inference(trivial_equality_resolution,[status(thm)],[f609])).
% 0.14/0.58 fof(f611,plain,(
% 0.14/0.58 ~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|sQ31_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f610])).
% 0.14/0.58 fof(f726,plain,(
% 0.14/0.58 ~multiply(sk_c6,sk_c8)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ17_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f599,f204])).
% 0.14/0.58 fof(f727,plain,(
% 0.14/0.58 ~sk_c8=sk_c9|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ17_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f579,f726])).
% 0.14/0.58 fof(f728,plain,(
% 0.14/0.58 ~sk_c6=sk_c9|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ17_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f596,f727])).
% 0.14/0.58 fof(f729,plain,(
% 0.14/0.58 ~sk_c6=sk_c6|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ17_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f599,f728])).
% 0.14/0.58 fof(f730,plain,(
% 0.14/0.58 $false|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ17_spl),
% 0.14/0.58 inference(trivial_equality_resolution,[status(thm)],[f729])).
% 0.14/0.58 fof(f731,plain,(
% 0.14/0.58 ~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ17_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f730])).
% 0.14/0.58 fof(f739,plain,(
% 0.14/0.58 ~sk_c9=sk_c9|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ16_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f579,f447])).
% 0.14/0.58 fof(f740,plain,(
% 0.14/0.58 ~sk_c6=sk_c9|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ16_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f599,f739])).
% 0.14/0.58 fof(f741,plain,(
% 0.14/0.58 ~sk_c6=sk_c6|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ16_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f599,f740])).
% 0.14/0.58 fof(f742,plain,(
% 0.14/0.58 $false|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ16_spl),
% 0.14/0.58 inference(trivial_equality_resolution,[status(thm)],[f741])).
% 0.14/0.58 fof(f743,plain,(
% 0.14/0.58 ~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ6_spl|sQ16_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f742])).
% 0.14/0.58 fof(f797,plain,(
% 0.14/0.58 ~sQ31_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|sQ30_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f471,f436,f82,f89,f85,f433])).
% 0.14/0.58 fof(f817,plain,(
% 0.14/0.58 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl)),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f522,f42])).
% 0.14/0.58 fof(f821,plain,(
% 0.14/0.58 sk_c3=sk_c9|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f817,f469])).
% 0.14/0.58 fof(f824,plain,(
% 0.14/0.58 ~sk_c8=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|sQ17_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f821,f482])).
% 0.14/0.58 fof(f837,plain,(
% 0.14/0.58 ~sk_c3=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|sQ29_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f821,f431])).
% 0.14/0.58 fof(f838,plain,(
% 0.14/0.58 $false|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|sQ29_spl),
% 0.14/0.58 inference(trivial_equality_resolution,[status(thm)],[f837])).
% 0.14/0.58 fof(f839,plain,(
% 0.14/0.58 ~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|sQ29_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f838])).
% 0.14/0.58 fof(f841,plain,(
% 0.14/0.58 ~sQ29_spl|~sQ10_spl|~sQ11_spl|sQ19_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f215,f429,f136,f145,f210])).
% 0.14/0.58 fof(f846,plain,(
% 0.14/0.58 sQ31_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f472,f436,f89,f85,f109,f118])).
% 0.14/0.58 fof(f847,plain,(
% 0.14/0.58 sQ31_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f273,f436,f127,f145,f136])).
% 0.14/0.58 fof(f855,plain,(
% 0.14/0.58 sk_c8=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ31_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f821,f437])).
% 0.14/0.58 fof(f859,plain,(
% 0.14/0.58 $false|sQ17_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ31_spl),
% 0.14/0.58 inference(forward_subsumption_resolution,[status(thm)],[f855,f824])).
% 0.14/0.58 fof(f860,plain,(
% 0.14/0.58 sQ17_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ31_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f859])).
% 0.14/0.58 fof(f863,plain,(
% 0.14/0.58 ~sk_c3=sk_c8|~sQ31_spl|sQ29_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f437,f431])).
% 0.14/0.58 fof(f885,plain,(
% 0.14/0.58 ~sk_c8=sk_c9|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ28_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f280,f428])).
% 0.14/0.58 fof(f886,plain,(
% 0.14/0.58 ~sk_c8=sk_c8|~sQ31_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ28_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f437,f885])).
% 0.14/0.58 fof(f887,plain,(
% 0.14/0.58 $false|~sQ31_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ28_spl),
% 0.14/0.58 inference(trivial_equality_resolution,[status(thm)],[f886])).
% 0.14/0.58 fof(f888,plain,(
% 0.14/0.58 ~sQ31_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|sQ28_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f887])).
% 0.14/0.58 fof(f912,plain,(
% 0.14/0.58 sk_c1=sk_c8|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f913,f494])).
% 0.14/0.58 fof(f913,plain,(
% 0.14/0.58 sk_c1=multiply(sk_c8,sk_c3)|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f522,f508])).
% 0.14/0.58 fof(f927,plain,(
% 0.14/0.58 inverse(sk_c8)=sk_c1|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f912,f280])).
% 0.14/0.58 fof(f930,plain,(
% 0.14/0.58 ~sk_c3=sk_c1|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ31_spl|sQ29_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f912,f863])).
% 0.14/0.58 fof(f931,plain,(
% 0.14/0.58 sk_c1=sk_c9|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ31_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f912,f437])).
% 0.14/0.58 fof(f936,plain,(
% 0.14/0.58 inverse(sk_c1)=sk_c1|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f912,f927])).
% 0.14/0.58 fof(f946,plain,(
% 0.14/0.58 sk_c2=multiply(sk_c1,identity)|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f912,f516])).
% 0.14/0.58 fof(f947,plain,(
% 0.14/0.58 sk_c2=multiply(sk_c1,sk_c3)|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f522,f946])).
% 0.14/0.58 fof(f957,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c1)=sk_c3|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f912,f519])).
% 0.14/0.58 fof(f958,plain,(
% 0.14/0.58 sk_c1=multiply(inverse(sk_c1),sk_c3)|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.58 inference(paramodulation,[status(thm)],[f957,f229])).
% 0.14/0.58 fof(f960,plain,(
% 0.14/0.58 sk_c1=multiply(sk_c1,sk_c3)|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f936,f958])).
% 0.14/0.58 fof(f961,plain,(
% 0.14/0.58 sk_c1=sk_c2|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f947,f960])).
% 0.14/0.58 fof(f963,plain,(
% 0.14/0.58 multiply(sk_c1,sk_c3)=sk_c8|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ31_spl|~sQ9_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f931,f128])).
% 0.14/0.58 fof(f965,plain,(
% 0.14/0.58 sk_c2=sk_c8|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ31_spl|~sQ9_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f947,f963])).
% 0.14/0.58 fof(f981,plain,(
% 0.14/0.58 sk_c2=sk_c9|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ31_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f961,f931])).
% 0.14/0.58 fof(f982,plain,(
% 0.14/0.58 ~sk_c3=sk_c2|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ31_spl|sQ29_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f961,f930])).
% 0.14/0.58 fof(f993,plain,(
% 0.14/0.58 multiply(sk_c2,sk_c2)=identity|~sQ0_spl|~sQ7_spl|~sQ31_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f965,f275])).
% 0.14/0.58 fof(f994,plain,(
% 0.14/0.58 multiply(sk_c2,sk_c2)=sk_c3|~sQ0_spl|~sQ7_spl|~sQ31_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f522,f993])).
% 0.14/0.58 fof(f1013,definition,(
% 0.14/0.58 sQ42_spl <=> (sk_c2=sk_c2)),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f1015,plain,(
% 0.14/0.58 ~sk_c2=sk_c2|sQ42_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f1013])).
% 0.14/0.58 fof(f1032,plain,(
% 0.14/0.58 $false|sQ42_spl),
% 0.14/0.58 inference(trivial_equality_resolution,[status(thm)],[f1015])).
% 0.14/0.58 fof(f1033,plain,(
% 0.14/0.58 sQ42_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f1032])).
% 0.14/0.58 fof(f1067,plain,(
% 0.14/0.58 sk_c2=multiply(sk_c9,sk_c9)|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ31_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f965,f267])).
% 0.14/0.58 fof(f1068,plain,(
% 0.14/0.58 sk_c2=multiply(sk_c2,sk_c9)|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ31_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f981,f1067])).
% 0.14/0.58 fof(f1069,plain,(
% 0.14/0.58 sk_c2=sk_c3|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ31_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.58 inference(backward_demodulation,[status(thm)],[f1070,f994])).
% 0.14/0.58 fof(f1070,plain,(
% 0.14/0.58 sk_c2=multiply(sk_c2,sk_c2)|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ31_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f981,f1068])).
% 0.14/0.58 fof(f1073,plain,(
% 0.14/0.58 $false|sQ29_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ31_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1069,f982])).
% 0.14/0.58 fof(f1074,plain,(
% 0.14/0.58 sQ29_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ31_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f1073])).
% 0.14/0.58 fof(f1079,plain,(
% 0.14/0.58 ~multiply(sk_c2,sk_c8)=sk_c9|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ31_spl|sQ17_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f981,f204])).
% 0.14/0.58 fof(f1080,plain,(
% 0.14/0.58 ~multiply(sk_c2,sk_c2)=sk_c9|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ31_spl|sQ17_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f965,f1079])).
% 0.14/0.58 fof(f1081,plain,(
% 0.14/0.58 ~sk_c2=sk_c9|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ31_spl|sQ17_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f1070,f1080])).
% 0.14/0.58 fof(f1082,plain,(
% 0.14/0.58 ~sk_c2=sk_c2|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ31_spl|sQ17_spl),
% 0.14/0.58 inference(forward_demodulation,[status(thm)],[f981,f1081])).
% 0.14/0.58 fof(f1083,plain,(
% 0.14/0.58 $false|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ31_spl|sQ17_spl),
% 0.14/0.58 inference(trivial_equality_resolution,[status(thm)],[f1082])).
% 0.14/0.58 fof(f1084,plain,(
% 0.14/0.58 ~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ31_spl|sQ17_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f1083])).
% 0.14/0.58 fof(f1085,plain,(
% 0.14/0.58 $false),
% 0.14/0.58 inference(sat_refutation,[status(thm)],[f88,f92,f100,f104,f108,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f163,f198,f205,f209,f213,f221,f222,f329,f432,f439,f484,f607,f611,f731,f743,f797,f839,f841,f846,f847,f860,f888,f1033,f1074,f1084])).
% 0.14/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.60 % Elapsed time: 0.067890 seconds
% 0.14/0.60 % CPU time: 0.293687 seconds
% 0.14/0.60 % Total memory used: 107.226 MB
% 0.14/0.60 % Net memory used: 107.028 MB
%------------------------------------------------------------------------------