%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP283-1 : 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 : n006.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 12:36:23 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP283-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:08:27 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c7) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f10,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f11,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c7) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f12,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f13,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f14,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f15,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f16,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f17,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c7) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f18,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f19,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f20,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f21,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f22,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f23,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c7) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f24,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f25,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f26,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f27,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f28,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f29,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c7) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f30,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f31,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f32,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f33,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f34,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f35,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c7) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f36,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f37,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f38,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f39,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f40,negated_conjecture,(
% 0.09/0.40 (![X3,X4,X5,X1,X2]: (( multiply(sk_c8,sk_c7) != sk_c6| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(sk_c8,X4) != sk_c7| multiply(X5,sk_c8) != X4| inverse(X5) != sk_c8| multiply(sk_c7,sk_c6) != sk_c8| inverse(sk_c7) != sk_c6| multiply(X1,sk_c7) != sk_c8| inverse(X1) != sk_c7| multiply(X2,sk_c8) != sk_c6| inverse(X2) != sk_c8 ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f41,plain,(
% 0.09/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f42,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c7,sk_c6)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f45,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c7)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f48,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.40 fof(f49,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f50,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f51,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c7)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.40 fof(f52,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.40 fof(f53,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.40 fof(f54,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.40 fof(f55,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f56,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.40 fof(f57,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c7)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.40 fof(f58,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.40 fof(f59,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.40 fof(f60,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.40 fof(f61,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.40 fof(f62,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.40 fof(f63,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c7)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.40 fof(f64,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.40 fof(f65,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.40 fof(f66,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.40 fof(f67,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.40 fof(f68,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c7,sk_c6)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.40 fof(f69,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c7)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.40 fof(f70,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.40 fof(f71,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.40 fof(f72,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.40 fof(f73,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.09/0.40 fof(f74,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.40 fof(f75,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c7)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.09/0.40 fof(f76,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.40 fof(f77,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.40 fof(f78,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.40 fof(f79,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.40 fof(f80,plain,(
% 0.09/0.40 ![X2]: (((![X1]: (((((![X5]: ((![X4]: (((![X3]: ((~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(sk_c8,X4)=sk_c7)|~multiply(X5,sk_c8)=X4))|~inverse(X5)=sk_c8))|~multiply(sk_c7,sk_c6)=sk_c8)|~inverse(sk_c7)=sk_c6)|~multiply(X1,sk_c7)=sk_c8)|~inverse(X1)=sk_c7))|~multiply(X2,sk_c8)=sk_c6)|~inverse(X2)=sk_c8)),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f40])).
% 0.09/0.40 fof(f81,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c7)=sk_c6|~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7|~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f80])).
% 0.09/0.40 fof(f82,definition,(
% 0.09/0.40 sQ0_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f83,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c7)=sk_c6|~sQ0_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f82])).
% 0.09/0.40 fof(f84,plain,(
% 0.09/0.40 ~multiply(sk_c8,sk_c7)=sk_c6|sQ0_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f82])).
% 0.09/0.40 fof(f85,definition,(
% 0.09/0.40 sQ1_spl <=> (multiply(sk_c7,sk_c6)=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f86,plain,(
% 0.09/0.40 multiply(sk_c7,sk_c6)=sk_c8|~sQ1_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.09/0.40 fof(f87,plain,(
% 0.09/0.40 ~multiply(sk_c7,sk_c6)=sk_c8|sQ1_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.09/0.40 fof(f88,plain,(
% 0.09/0.40 sQ0_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.09/0.40 fof(f89,definition,(
% 0.09/0.40 sQ2_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f90,plain,(
% 0.09/0.40 inverse(sk_c7)=sk_c6|~sQ2_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.09/0.40 fof(f91,plain,(
% 0.09/0.40 ~inverse(sk_c7)=sk_c6|sQ2_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.09/0.40 fof(f92,plain,(
% 0.09/0.40 sQ0_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.09/0.40 fof(f93,definition,(
% 0.09/0.40 sQ3_spl <=> (multiply(sk_c4,sk_c7)=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f94,plain,(
% 0.09/0.40 multiply(sk_c4,sk_c7)=sk_c8|~sQ3_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.09/0.40 fof(f97,definition,(
% 0.09/0.40 sQ4_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f98,plain,(
% 0.09/0.40 inverse(sk_c4)=sk_c7|~sQ4_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.09/0.40 fof(f101,definition,(
% 0.09/0.40 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f102,plain,(
% 0.09/0.40 multiply(sk_c5,sk_c8)=sk_c6|~sQ5_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.09/0.40 fof(f104,plain,(
% 0.09/0.40 sQ0_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.09/0.40 fof(f105,definition,(
% 0.09/0.40 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f106,plain,(
% 0.09/0.40 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.09/0.40 fof(f108,plain,(
% 0.09/0.40 sQ0_spl|sQ6_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.09/0.40 fof(f109,definition,(
% 0.09/0.40 sQ7_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f110,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c8)=sk_c7|~sQ7_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.09/0.40 fof(f112,plain,(
% 0.09/0.40 sQ7_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.09/0.40 fof(f113,plain,(
% 0.09/0.40 sQ7_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.09/0.40 fof(f114,plain,(
% 0.09/0.40 sQ7_spl|sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.09/0.40 fof(f115,plain,(
% 0.09/0.40 sQ7_spl|sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.09/0.40 fof(f116,plain,(
% 0.09/0.40 sQ7_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.09/0.40 fof(f117,plain,(
% 0.09/0.40 sQ7_spl|sQ6_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.09/0.40 fof(f118,definition,(
% 0.09/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f119,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c8|~sQ8_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f118])).
% 0.09/0.40 fof(f121,plain,(
% 0.09/0.40 sQ8_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.09/0.40 fof(f122,plain,(
% 0.09/0.40 sQ8_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.09/0.40 fof(f123,plain,(
% 0.09/0.40 sQ8_spl|sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.09/0.40 fof(f124,plain,(
% 0.09/0.40 sQ8_spl|sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.09/0.40 fof(f125,plain,(
% 0.09/0.40 sQ8_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.09/0.40 fof(f126,plain,(
% 0.09/0.40 sQ8_spl|sQ6_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.09/0.40 fof(f127,definition,(
% 0.09/0.40 sQ9_spl <=> (multiply(sk_c8,sk_c3)=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f128,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c3)=sk_c7|~sQ9_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f127])).
% 0.09/0.40 fof(f130,plain,(
% 0.09/0.40 sQ9_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.09/0.40 fof(f131,plain,(
% 0.09/0.40 sQ9_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.09/0.40 fof(f132,plain,(
% 0.09/0.40 sQ9_spl|sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.09/0.40 fof(f133,plain,(
% 0.09/0.40 sQ9_spl|sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.09/0.40 fof(f134,plain,(
% 0.09/0.40 sQ9_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.09/0.40 fof(f135,plain,(
% 0.09/0.40 sQ9_spl|sQ6_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.09/0.40 fof(f136,definition,(
% 0.09/0.40 sQ10_spl <=> (multiply(sk_c2,sk_c8)=sk_c3)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f137,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c8)=sk_c3|~sQ10_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.09/0.40 fof(f139,plain,(
% 0.09/0.40 sQ10_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.09/0.40 fof(f140,plain,(
% 0.09/0.40 sQ10_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.09/0.40 fof(f141,plain,(
% 0.09/0.40 sQ10_spl|sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.09/0.40 fof(f142,plain,(
% 0.09/0.40 sQ10_spl|sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.09/0.40 fof(f143,plain,(
% 0.09/0.40 sQ10_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.09/0.40 fof(f144,plain,(
% 0.09/0.40 sQ10_spl|sQ6_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.09/0.40 fof(f145,definition,(
% 0.09/0.40 sQ11_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f146,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c8|~sQ11_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f145])).
% 0.09/0.40 fof(f148,plain,(
% 0.09/0.40 sQ11_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.09/0.40 fof(f149,plain,(
% 0.09/0.40 sQ11_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.09/0.40 fof(f150,plain,(
% 0.09/0.40 sQ11_spl|sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.09/0.40 fof(f151,plain,(
% 0.09/0.40 sQ11_spl|sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.09/0.40 fof(f152,plain,(
% 0.09/0.40 sQ11_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.09/0.40 fof(f153,plain,(
% 0.09/0.40 sQ11_spl|sQ6_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.09/0.40 fof(f154,definition,(
% 0.09/0.40 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f155,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f154])).
% 0.09/0.40 fof(f157,definition,(
% 0.09/0.40 ![X1,X2]: (sQ13_spl <=> (~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f158,plain,(
% 0.09/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ13_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f157])).
% 0.09/0.40 fof(f160,definition,(
% 0.09/0.40 ![X3]: (sQ14_spl <=> (~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f161,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ14_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f160])).
% 0.09/0.40 fof(f163,definition,(
% 0.09/0.40 ![X4]: (sQ15_spl <=> (~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f164,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ15_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f163])).
% 0.09/0.40 fof(f166,plain,(
% 0.09/0.40 ~sQ0_spl|sQ12_spl|sQ13_spl|~sQ1_spl|~sQ2_spl|sQ14_spl|sQ15_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f81,f82,f154,f157,f85,f89,f160,f163])).
% 0.09/0.40 fof(f167,plain,(
% 0.09/0.40 ~inverse(sk_c5)=sk_c8|~sQ15_spl|~sQ5_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f164,f102])).
% 0.09/0.40 fof(f169,plain,(
% 0.09/0.40 ~sk_c7=sk_c6|~inverse(sk_c1)=sk_c8|~sQ15_spl|~sQ7_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f110,f164])).
% 0.09/0.40 fof(f170,plain,(
% 0.09/0.40 ~sk_c3=sk_c6|~inverse(sk_c2)=sk_c8|~sQ15_spl|~sQ10_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f137,f164])).
% 0.09/0.40 fof(f171,plain,(
% 0.09/0.40 ~sk_c8=sk_c8|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f106,f167])).
% 0.09/0.40 fof(f172,plain,(
% 0.09/0.40 $false|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f171])).
% 0.09/0.40 fof(f173,plain,(
% 0.09/0.40 ~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f172])).
% 0.09/0.40 fof(f174,plain,(
% 0.09/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f158])).
% 0.09/0.40 fof(f175,plain,(
% 0.09/0.40 ~inverse(sk_c4)=sk_c7|~sQ14_spl|~sQ3_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f161,f94])).
% 0.09/0.40 fof(f177,plain,(
% 0.09/0.40 ~sk_c6=sk_c8|~inverse(sk_c8)=sk_c7|~sQ14_spl|~sQ0_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f83,f161])).
% 0.09/0.40 fof(f178,plain,(
% 0.09/0.40 ~sk_c7=sk_c7|~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f98,f175])).
% 0.09/0.40 fof(f179,plain,(
% 0.09/0.40 $false|~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f178])).
% 0.09/0.40 fof(f180,plain,(
% 0.09/0.40 ~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f179])).
% 0.09/0.40 fof(f181,plain,(
% 0.09/0.40 ~inverse(sk_c1)=sk_c8|~sQ12_spl|~sQ7_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f155,f110])).
% 0.09/0.40 fof(f182,plain,(
% 0.09/0.40 ~sk_c6=sk_c7|~inverse(sk_c5)=sk_c8|~sQ12_spl|~sQ5_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f102,f155])).
% 0.09/0.40 fof(f185,plain,(
% 0.09/0.40 ~sk_c8=sk_c8|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f119,f181])).
% 0.09/0.40 fof(f186,plain,(
% 0.09/0.40 $false|~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f185])).
% 0.09/0.40 fof(f187,plain,(
% 0.09/0.40 ~sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f186])).
% 0.09/0.40 fof(f196,plain,(
% 0.09/0.40 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~sQ13_spl|~sQ5_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f102,f174])).
% 0.09/0.40 fof(f197,plain,(
% 0.09/0.40 ~multiply(sk_c8,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c8|~sQ13_spl|~sQ10_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f137,f174])).
% 0.09/0.40 fof(f198,definition,(
% 0.09/0.40 sQ16_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f199,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c6)=sk_c7|~sQ16_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f198])).
% 0.09/0.40 fof(f200,plain,(
% 0.09/0.40 ~multiply(sk_c8,sk_c6)=sk_c7|sQ16_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f198])).
% 0.09/0.40 fof(f201,plain,(
% 0.09/0.40 ~sQ16_spl|~sQ6_spl|~sQ13_spl|~sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f196,f198,f105,f157,f101])).
% 0.09/0.40 fof(f202,plain,(
% 0.09/0.40 ~sQ9_spl|~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f197,f127,f145,f157,f136])).
% 0.09/0.40 fof(f212,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c5)=identity|~sQ6_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f106,f42])).
% 0.09/0.40 fof(f214,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c7)=identity|~sQ2_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f90,f42])).
% 0.09/0.40 fof(f216,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c2)=identity|~sQ11_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f146,f42])).
% 0.09/0.40 fof(f217,plain,(
% 0.09/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.09/0.40 fof(f218,plain,(
% 0.09/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f41,f217])).
% 0.09/0.40 fof(f220,plain,(
% 0.09/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~sQ6_spl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f212,f43])).
% 0.09/0.40 fof(f221,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c8,multiply(sk_c5,X0))|~sQ6_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f41,f220])).
% 0.09/0.40 fof(f248,plain,(
% 0.09/0.40 sk_c8=multiply(sk_c8,sk_c6)|~sQ6_spl|~sQ5_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f102,f221])).
% 0.09/0.40 fof(f253,plain,(
% 0.09/0.40 ~sk_c8=sk_c7|~sQ6_spl|~sQ5_spl|sQ16_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f248,f200])).
% 0.09/0.40 fof(f276,plain,(
% 0.09/0.40 sk_c6=multiply(inverse(sk_c8),sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f248,f218])).
% 0.09/0.40 fof(f283,plain,(
% 0.09/0.40 sk_c6=multiply(inverse(sk_c7),sk_c8)|~sQ1_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f86,f218])).
% 0.09/0.40 fof(f286,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f41,f218])).
% 0.09/0.40 fof(f293,plain,(
% 0.09/0.40 sk_c8=multiply(inverse(sk_c2),sk_c3)|~sQ10_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f137,f218])).
% 0.09/0.40 fof(f297,plain,(
% 0.09/0.40 sk_c6=identity|~sQ6_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f42,f276])).
% 0.09/0.40 fof(f300,plain,(
% 0.09/0.40 sk_c6=multiply(sk_c6,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f90,f283])).
% 0.09/0.40 fof(f306,plain,(
% 0.09/0.40 sk_c8=multiply(sk_c8,sk_c3)|~sQ11_spl|~sQ10_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f146,f293])).
% 0.09/0.40 fof(f365,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ6_spl|~sQ5_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f297,f41])).
% 0.09/0.40 fof(f369,plain,(
% 0.09/0.40 inverse(sk_c5)=sk_c6|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f372,f106])).
% 0.09/0.40 fof(f371,plain,(
% 0.09/0.40 ~sk_c6=sk_c7|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|sQ16_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f372,f253])).
% 0.09/0.40 fof(f372,plain,(
% 0.09/0.40 sk_c6=sk_c8|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f365,f300])).
% 0.09/0.40 fof(f375,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c6,multiply(sk_c5,X0))|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f369,f218])).
% 0.09/0.40 fof(f376,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c5,X0)|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f365,f375])).
% 0.09/0.40 fof(f377,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c7)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f372,f83])).
% 0.09/0.40 fof(f378,plain,(
% 0.09/0.40 sk_c7=sk_c6|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f365,f377])).
% 0.09/0.40 fof(f379,plain,(
% 0.09/0.40 $false|sQ16_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f378,f371])).
% 0.09/0.40 fof(f380,plain,(
% 0.09/0.40 sQ16_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f379])).
% 0.09/0.40 fof(f381,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c6)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ16_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f372,f199])).
% 0.09/0.40 fof(f382,plain,(
% 0.09/0.40 sk_c6=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ16_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f365,f381])).
% 0.09/0.40 fof(f385,definition,(
% 0.09/0.40 sQ19_spl <=> (sk_c6=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f387,plain,(
% 0.09/0.40 ~sk_c6=sk_c7|sQ19_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f385])).
% 0.09/0.40 fof(f388,plain,(
% 0.09/0.40 ~sQ19_spl|~sQ6_spl|~sQ12_spl|~sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f182,f385,f105,f154,f101])).
% 0.09/0.40 fof(f389,definition,(
% 0.09/0.40 sQ20_spl <=> (sk_c7=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f391,plain,(
% 0.09/0.40 ~sk_c7=sk_c7|sQ20_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f389])).
% 0.09/0.40 fof(f410,plain,(
% 0.09/0.40 $false|sQ20_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f391])).
% 0.09/0.40 fof(f411,plain,(
% 0.09/0.40 sQ20_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f410])).
% 0.09/0.40 fof(f412,definition,(
% 0.09/0.40 sQ21_spl <=> (sk_c8=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f414,plain,(
% 0.09/0.40 ~sk_c8=sk_c8|sQ21_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f412])).
% 0.09/0.40 fof(f416,definition,(
% 0.09/0.40 sQ22_spl <=> (sk_c6=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f417,plain,(
% 0.09/0.40 sk_c6=sk_c8|~sQ22_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f416])).
% 0.09/0.40 fof(f418,plain,(
% 0.09/0.40 ~sk_c6=sk_c8|sQ22_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f416])).
% 0.09/0.40 fof(f419,definition,(
% 0.09/0.40 sQ23_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f421,plain,(
% 0.09/0.40 ~inverse(sk_c8)=sk_c7|sQ23_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f419])).
% 0.09/0.40 fof(f422,plain,(
% 0.09/0.40 ~sQ22_spl|~sQ23_spl|~sQ14_spl|~sQ0_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f177,f416,f419,f160,f82])).
% 0.09/0.40 fof(f423,plain,(
% 0.09/0.40 $false|sQ21_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f414])).
% 0.09/0.40 fof(f424,plain,(
% 0.09/0.40 sQ21_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f423])).
% 0.09/0.40 fof(f429,plain,(
% 0.09/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f218,f286])).
% 0.09/0.40 fof(f440,plain,(
% 0.09/0.40 sk_c8=multiply(inverse(sk_c2),sk_c3)|~sQ10_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f137,f218])).
% 0.09/0.40 fof(f442,plain,(
% 0.09/0.40 sk_c8=multiply(sk_c8,sk_c3)|~sQ11_spl|~sQ10_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f146,f440])).
% 0.09/0.40 fof(f443,plain,(
% 0.09/0.40 sk_c8=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f128,f442])).
% 0.09/0.40 fof(f451,plain,(
% 0.09/0.40 ~inverse(sk_c7)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ23_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f443,f421])).
% 0.09/0.40 fof(f452,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c7|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f443,f146])).
% 0.09/0.40 fof(f453,plain,(
% 0.09/0.40 multiply(sk_c7,sk_c6)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ1_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f443,f86])).
% 0.09/0.40 fof(f454,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ8_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f443,f119])).
% 0.09/0.40 fof(f455,plain,(
% 0.09/0.40 ~sk_c6=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ22_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f443,f418])).
% 0.09/0.40 fof(f470,plain,(
% 0.09/0.40 sk_c7=multiply(sk_c8,sk_c3)|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f443,f306])).
% 0.09/0.40 fof(f471,plain,(
% 0.09/0.40 sk_c7=multiply(sk_c7,sk_c3)|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f443,f470])).
% 0.09/0.40 fof(f472,plain,(
% 0.09/0.40 sk_c3=multiply(inverse(sk_c7),sk_c7)|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f471,f218])).
% 0.09/0.40 fof(f474,plain,(
% 0.09/0.40 sk_c3=identity|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f42,f472])).
% 0.09/0.40 fof(f481,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c7)=sk_c7|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f443,f110])).
% 0.09/0.40 fof(f482,plain,(
% 0.09/0.40 sk_c7=multiply(inverse(sk_c1),sk_c7)|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f481,f218])).
% 0.09/0.40 fof(f484,plain,(
% 0.09/0.40 sk_c7=multiply(sk_c7,sk_c7)|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f454,f482])).
% 0.09/0.40 fof(f485,plain,(
% 0.09/0.40 multiply(sk_c7,sk_c7)=sk_c6|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f443,f83])).
% 0.09/0.40 fof(f518,plain,(
% 0.09/0.40 sk_c7=sk_c6|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f485,f484])).
% 0.09/0.40 fof(f519,plain,(
% 0.09/0.40 $false|sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f518,f455])).
% 0.09/0.40 fof(f520,plain,(
% 0.09/0.40 sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f519])).
% 0.09/0.40 fof(f565,definition,(
% 0.09/0.40 sQ24_spl <=> (sk_c6=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f567,plain,(
% 0.09/0.40 ~sk_c6=sk_c6|sQ24_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f565])).
% 0.09/0.40 fof(f569,plain,(
% 0.09/0.40 ~sQ19_spl|~sQ8_spl|~sQ15_spl|~sQ7_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f169,f385,f118,f163,f109])).
% 0.09/0.40 fof(f570,definition,(
% 0.09/0.40 sQ25_spl <=> (sk_c3=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f572,plain,(
% 0.09/0.40 ~sk_c3=sk_c6|sQ25_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f570])).
% 0.09/0.40 fof(f573,plain,(
% 0.09/0.40 ~sQ25_spl|~sQ11_spl|~sQ15_spl|~sQ10_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f170,f570,f145,f163,f136])).
% 0.09/0.40 fof(f575,plain,(
% 0.09/0.40 $false|sQ19_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ16_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f382,f387])).
% 0.09/0.40 fof(f576,plain,(
% 0.09/0.40 sQ19_spl|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ16_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f575])).
% 0.09/0.40 fof(f577,plain,(
% 0.09/0.40 $false|sQ24_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f567])).
% 0.09/0.40 fof(f578,plain,(
% 0.09/0.40 sQ24_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f577])).
% 0.09/0.40 fof(f585,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c3,X0)=X0|~sQ9_spl|~sQ11_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f474,f429])).
% 0.09/0.40 fof(f588,plain,(
% 0.09/0.40 ~inverse(sk_c6)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ23_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f518,f451])).
% 0.09/0.40 fof(f589,plain,(
% 0.09/0.40 ~inverse(sk_c6)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ23_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f518,f588])).
% 0.09/0.40 fof(f594,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f518,f452])).
% 0.09/0.40 fof(f599,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ9_spl|~sQ11_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f474,f42])).
% 0.09/0.40 fof(f605,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c6)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f518,f453])).
% 0.09/0.40 fof(f606,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c6)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f518,f605])).
% 0.09/0.40 fof(f607,plain,(
% 0.09/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ1_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f606,f218])).
% 0.09/0.40 fof(f609,plain,(
% 0.09/0.40 sk_c6=sk_c3|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f599,f607])).
% 0.09/0.40 fof(f610,plain,(
% 0.09/0.40 $false|sQ25_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f609,f572])).
% 0.09/0.40 fof(f611,plain,(
% 0.09/0.40 sQ25_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ1_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f610])).
% 0.09/0.40 fof(f613,plain,(
% 0.09/0.40 ~multiply(sk_c6,sk_c6)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f518,f87])).
% 0.09/0.40 fof(f614,plain,(
% 0.09/0.40 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f417,f613])).
% 0.09/0.40 fof(f633,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c2)=identity|~sQ22_spl|~sQ11_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f417,f216])).
% 0.09/0.40 fof(f634,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c2)=sk_c3|~sQ9_spl|~sQ10_spl|~sQ22_spl|~sQ11_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f474,f633])).
% 0.09/0.40 fof(f665,plain,(
% 0.09/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f518,f484])).
% 0.09/0.40 fof(f666,plain,(
% 0.09/0.40 sk_c6=multiply(sk_c6,sk_c7)|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f518,f665])).
% 0.09/0.40 fof(f667,plain,(
% 0.09/0.40 sk_c6=multiply(sk_c6,sk_c6)|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f518,f666])).
% 0.09/0.40 fof(f668,plain,(
% 0.09/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f667,f218])).
% 0.09/0.40 fof(f670,plain,(
% 0.09/0.40 sk_c6=sk_c3|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f599,f668])).
% 0.09/0.40 fof(f677,plain,(
% 0.09/0.40 multiply(sk_c3,sk_c2)=sk_c3|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ22_spl|~sQ11_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f670,f634])).
% 0.09/0.40 fof(f680,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c3|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f670,f594])).
% 0.09/0.40 fof(f682,plain,(
% 0.09/0.40 ~inverse(sk_c6)=sk_c3|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ23_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f670,f589])).
% 0.09/0.40 fof(f683,plain,(
% 0.09/0.40 sk_c3=sk_c8|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|~sQ22_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f670,f417])).
% 0.09/0.40 fof(f684,plain,(
% 0.09/0.40 sk_c7=sk_c3|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f670,f518])).
% 0.09/0.40 fof(f691,plain,(
% 0.09/0.40 sk_c2=sk_c3|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ22_spl|~sQ11_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f585,f677])).
% 0.09/0.40 fof(f692,plain,(
% 0.09/0.40 ~inverse(sk_c3)=sk_c3|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ23_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f670,f682])).
% 0.09/0.40 fof(f694,plain,(
% 0.09/0.40 sk_c6=sk_c2|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f691,f670])).
% 0.09/0.40 fof(f699,plain,(
% 0.09/0.40 sk_c2=sk_c8|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|~sQ22_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f691,f683])).
% 0.09/0.40 fof(f700,plain,(
% 0.09/0.40 sk_c7=sk_c2|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f691,f684])).
% 0.09/0.40 fof(f701,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c3)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|~sQ22_spl|~sQ9_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f699,f128])).
% 0.09/0.40 fof(f702,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c2)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|~sQ22_spl|~sQ9_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f691,f701])).
% 0.09/0.40 fof(f703,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c2)=sk_c2|~sQ0_spl|~sQ8_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|~sQ22_spl|~sQ9_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f700,f702])).
% 0.09/0.40 fof(f710,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c2|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl|~sQ11_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f691,f680])).
% 0.09/0.40 fof(f714,plain,(
% 0.09/0.40 ~inverse(sk_c2)=sk_c3|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ23_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f691,f692])).
% 0.09/0.40 fof(f715,plain,(
% 0.09/0.40 ~sk_c2=sk_c3|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ23_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f710,f714])).
% 0.09/0.40 fof(f716,plain,(
% 0.09/0.40 ~sk_c2=sk_c2|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ23_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f691,f715])).
% 0.09/0.40 fof(f717,plain,(
% 0.09/0.40 $false|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ23_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f716])).
% 0.09/0.40 fof(f718,plain,(
% 0.09/0.40 ~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|sQ23_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f717])).
% 0.12/0.40 fof(f778,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c6|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f700,f91])).
% 0.12/0.40 fof(f779,plain,(
% 0.12/0.40 ~sk_c2=sk_c6|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f710,f778])).
% 0.12/0.40 fof(f780,plain,(
% 0.12/0.40 ~sk_c2=sk_c2|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f694,f779])).
% 0.12/0.40 fof(f781,plain,(
% 0.12/0.40 $false|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ2_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f780])).
% 0.12/0.40 fof(f782,plain,(
% 0.12/0.40 ~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ2_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f781])).
% 0.12/0.40 fof(f785,plain,(
% 0.12/0.40 ~multiply(sk_c2,sk_c6)=sk_c6|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f694,f614])).
% 0.12/0.40 fof(f786,plain,(
% 0.12/0.40 ~multiply(sk_c2,sk_c2)=sk_c6|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f694,f785])).
% 0.12/0.40 fof(f787,plain,(
% 0.12/0.40 ~sk_c2=sk_c6|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f703,f786])).
% 0.12/0.40 fof(f788,plain,(
% 0.12/0.40 ~sk_c2=sk_c2|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f694,f787])).
% 0.12/0.40 fof(f789,plain,(
% 0.12/0.40 $false|~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f788])).
% 0.12/0.40 fof(f790,plain,(
% 0.12/0.40 ~sQ22_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl|~sQ7_spl|sQ1_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f789])).
% 0.12/0.40 fof(f795,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c6,X0)=X0|~sQ6_spl|~sQ5_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f297,f429])).
% 0.12/0.41 fof(f806,plain,(
% 0.12/0.41 ~multiply(sk_c6,sk_c7)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f372,f84])).
% 0.12/0.41 fof(f807,plain,(
% 0.12/0.41 ~sk_c7=sk_c6|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f795,f806])).
% 0.12/0.41 fof(f821,plain,(
% 0.12/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ6_spl|~sQ5_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f297,f42])).
% 0.12/0.41 fof(f830,plain,(
% 0.12/0.41 multiply(sk_c6,sk_c5)=sk_c6|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f369,f821])).
% 0.12/0.41 fof(f832,plain,(
% 0.12/0.41 sk_c5=sk_c6|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f795,f830])).
% 0.12/0.41 fof(f836,plain,(
% 0.12/0.41 ~sk_c7=sk_c5|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f832,f807])).
% 0.12/0.41 fof(f840,plain,(
% 0.12/0.41 sk_c5=identity|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f832,f297])).
% 0.12/0.41 fof(f857,plain,(
% 0.12/0.41 multiply(sk_c5,sk_c7)=identity|~sQ5_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f832,f214])).
% 0.12/0.41 fof(f858,plain,(
% 0.12/0.41 sk_c7=identity|~sQ5_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f376,f857])).
% 0.12/0.41 fof(f859,plain,(
% 0.12/0.41 sk_c7=sk_c5|~sQ5_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f840,f858])).
% 0.12/0.41 fof(f860,plain,(
% 0.12/0.41 $false|sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f859,f836])).
% 0.12/0.41 fof(f861,plain,(
% 0.12/0.41 sQ0_spl|~sQ5_spl|~sQ1_spl|~sQ6_spl|~sQ2_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f860])).
% 0.12/0.41 fof(f862,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f88,f92,f104,f108,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f166,f173,f180,f187,f201,f202,f380,f388,f411,f422,f424,f520,f569,f573,f576,f578,f611,f718,f782,f790,f861])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.066733 seconds
% 0.12/0.43 % CPU time: 0.224600 seconds
% 0.12/0.43 % Total memory used: 104.535 MB
% 0.12/0.43 % Net memory used: 104.367 MB
%------------------------------------------------------------------------------