%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP337-1 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:28 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP337-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:09:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.41 % Refutation found
% 0.08/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.41 fof(f1,axiom,(
% 0.08/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f2,axiom,(
% 0.08/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f3,axiom,(
% 0.08/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f4,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f5,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f6,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f10,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f11,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f12,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f13,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c8) = sk_c6 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f14,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f15,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f16,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f17,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f18,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f19,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c8) = sk_c6 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f20,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f21,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f22,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f23,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f24,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f25,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c8) = sk_c6 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f26,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f27,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f28,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f29,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f30,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f31,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c2) = sk_c3| inverse(sk_c8) = sk_c6 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f32,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f33,negated_conjecture,(
% 0.08/0.41 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c6 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f34,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c3,sk_c8) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f35,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c3,sk_c8) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f36,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c3,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f37,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c3,sk_c8) = sk_c7| inverse(sk_c8) = sk_c6 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f38,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c3,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f39,negated_conjecture,(
% 0.08/0.41 ( multiply(sk_c3,sk_c8) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f40,negated_conjecture,(
% 0.08/0.41 (![X3,X4,X5,X1,X2]: (( multiply(sk_c7,sk_c8) != sk_c6| inverse(X3) != sk_c8| multiply(X3,sk_c7) != sk_c8| multiply(X4,X5) != sk_c7| inverse(X4) != X5| multiply(X5,sk_c8) != sk_c7| multiply(sk_c7,sk_c6) != sk_c8| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| inverse(sk_c8) != sk_c6| multiply(X2,sk_c6) != sk_c7| inverse(X2) != sk_c6 ) ))),
% 0.08/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.41 fof(f41,plain,(
% 0.08/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.41 fof(f42,plain,(
% 0.08/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.41 fof(f43,plain,(
% 0.08/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.41 fof(f44,plain,(
% 0.08/0.41 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c7,sk_c6)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.41 fof(f45,plain,(
% 0.08/0.41 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.41 fof(f46,plain,(
% 0.08/0.41 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.41 fof(f50,plain,(
% 0.08/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/0.41 fof(f51,plain,(
% 0.08/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.41 fof(f52,plain,(
% 0.08/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.08/0.41 fof(f53,plain,(
% 0.08/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c8)=sk_c6),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.41 fof(f54,plain,(
% 0.08/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/0.41 fof(f55,plain,(
% 0.08/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.41 fof(f56,plain,(
% 0.08/0.41 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.41 fof(f57,plain,(
% 0.08/0.41 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.08/0.41 fof(f58,plain,(
% 0.08/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/0.41 fof(f59,plain,(
% 0.08/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c8)=sk_c6),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.08/0.41 fof(f60,plain,(
% 0.08/0.41 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.08/0.41 fof(f61,plain,(
% 0.08/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.41 fof(f62,plain,(
% 0.08/0.41 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/0.41 fof(f63,plain,(
% 0.08/0.41 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.41 fof(f64,plain,(
% 0.08/0.41 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.08/0.41 fof(f65,plain,(
% 0.08/0.41 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c8)=sk_c6),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.08/0.41 fof(f66,plain,(
% 0.08/0.41 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/0.41 fof(f67,plain,(
% 0.08/0.41 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.08/0.41 fof(f68,plain,(
% 0.08/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c7,sk_c6)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.08/0.41 fof(f69,plain,(
% 0.08/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.08/0.41 fof(f70,plain,(
% 0.08/0.41 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.08/0.41 fof(f71,plain,(
% 0.08/0.41 inverse(sk_c2)=sk_c3|inverse(sk_c8)=sk_c6),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/0.41 fof(f72,plain,(
% 0.08/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c6)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.08/0.41 fof(f73,plain,(
% 0.08/0.41 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c6),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.08/0.41 fof(f74,plain,(
% 0.08/0.41 multiply(sk_c3,sk_c8)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.08/0.41 fof(f75,plain,(
% 0.08/0.41 multiply(sk_c3,sk_c8)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.08/0.41 fof(f76,plain,(
% 0.08/0.41 multiply(sk_c3,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.08/0.41 fof(f77,plain,(
% 0.08/0.41 multiply(sk_c3,sk_c8)=sk_c7|inverse(sk_c8)=sk_c6),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.08/0.41 fof(f78,plain,(
% 0.08/0.41 multiply(sk_c3,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.08/0.41 fof(f79,plain,(
% 0.08/0.41 multiply(sk_c3,sk_c8)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.08/0.41 fof(f80,plain,(
% 0.08/0.41 ![X2]: ((((![X1]: ((((![X5]: ((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X3)=sk_c8)|~multiply(X3,sk_c7)=sk_c8))|~multiply(X4,X5)=sk_c7)|~inverse(X4)=X5))|~multiply(X5,sk_c8)=sk_c7))|~multiply(sk_c7,sk_c6)=sk_c8)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~inverse(sk_c8)=sk_c6)|~multiply(X2,sk_c6)=sk_c7)|~inverse(X2)=sk_c6)),
% 0.08/0.41 inference(miniscoping,[status(thm)],[f40])).
% 0.08/0.41 fof(f81,plain,(
% 0.08/0.41 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(X1,X2)=sk_c7|~inverse(X1)=X2|~multiply(X2,sk_c8)=sk_c7|~multiply(sk_c7,sk_c6)=sk_c8|~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~inverse(sk_c8)=sk_c6|~multiply(X4,sk_c6)=sk_c7|~inverse(X4)=sk_c6)),
% 0.08/0.41 inference(cnf_transformation,[status(thm)],[f80])).
% 0.08/0.41 fof(f82,definition,(
% 0.08/0.41 sQ0_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f83,plain,(
% 0.08/0.41 multiply(sk_c7,sk_c8)=sk_c6|~sQ0_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f82])).
% 0.08/0.41 fof(f84,plain,(
% 0.08/0.41 ~multiply(sk_c7,sk_c8)=sk_c6|sQ0_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f82])).
% 0.08/0.41 fof(f85,definition,(
% 0.08/0.41 sQ1_spl <=> (multiply(sk_c7,sk_c6)=sk_c8)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f86,plain,(
% 0.08/0.41 multiply(sk_c7,sk_c6)=sk_c8|~sQ1_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.08/0.41 fof(f87,plain,(
% 0.08/0.41 ~multiply(sk_c7,sk_c6)=sk_c8|sQ1_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.08/0.41 fof(f88,plain,(
% 0.08/0.41 sQ0_spl|sQ1_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.08/0.41 fof(f89,definition,(
% 0.08/0.41 sQ2_spl <=> (multiply(sk_c4,sk_c8)=sk_c7)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f90,plain,(
% 0.08/0.41 multiply(sk_c4,sk_c8)=sk_c7|~sQ2_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.08/0.41 fof(f92,plain,(
% 0.08/0.41 sQ0_spl|sQ2_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.08/0.41 fof(f93,definition,(
% 0.08/0.41 sQ3_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f94,plain,(
% 0.08/0.41 inverse(sk_c4)=sk_c8|~sQ3_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.08/0.41 fof(f96,plain,(
% 0.08/0.41 sQ0_spl|sQ3_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.08/0.41 fof(f97,definition,(
% 0.08/0.41 sQ4_spl <=> (inverse(sk_c8)=sk_c6)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f98,plain,(
% 0.08/0.41 inverse(sk_c8)=sk_c6|~sQ4_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.08/0.41 fof(f99,plain,(
% 0.08/0.41 ~inverse(sk_c8)=sk_c6|sQ4_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.08/0.41 fof(f101,definition,(
% 0.08/0.41 sQ5_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f102,plain,(
% 0.08/0.41 multiply(sk_c5,sk_c6)=sk_c7|~sQ5_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f101])).
% 0.08/0.41 fof(f105,definition,(
% 0.08/0.41 sQ6_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f106,plain,(
% 0.08/0.41 inverse(sk_c5)=sk_c6|~sQ6_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f105])).
% 0.08/0.41 fof(f109,definition,(
% 0.08/0.41 sQ7_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f110,plain,(
% 0.08/0.41 inverse(sk_c1)=sk_c8|~sQ7_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.08/0.41 fof(f112,plain,(
% 0.08/0.41 sQ7_spl|sQ1_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.08/0.41 fof(f113,plain,(
% 0.08/0.41 sQ7_spl|sQ2_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.08/0.41 fof(f114,plain,(
% 0.08/0.41 sQ7_spl|sQ3_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.08/0.41 fof(f115,plain,(
% 0.08/0.41 sQ7_spl|sQ4_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.08/0.41 fof(f116,plain,(
% 0.08/0.41 sQ7_spl|sQ5_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.08/0.41 fof(f117,plain,(
% 0.08/0.41 sQ7_spl|sQ6_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.08/0.41 fof(f118,definition,(
% 0.08/0.41 sQ8_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f119,plain,(
% 0.08/0.41 multiply(sk_c1,sk_c7)=sk_c8|~sQ8_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.08/0.41 fof(f121,plain,(
% 0.08/0.41 sQ8_spl|sQ1_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.08/0.41 fof(f122,plain,(
% 0.08/0.41 sQ8_spl|sQ2_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.08/0.41 fof(f123,plain,(
% 0.08/0.41 sQ8_spl|sQ3_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.08/0.41 fof(f124,plain,(
% 0.08/0.41 sQ8_spl|sQ4_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.08/0.41 fof(f125,plain,(
% 0.08/0.41 sQ8_spl|sQ5_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.08/0.41 fof(f126,plain,(
% 0.08/0.41 sQ8_spl|sQ6_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.08/0.41 fof(f127,definition,(
% 0.08/0.41 sQ9_spl <=> (multiply(sk_c2,sk_c3)=sk_c7)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.08/0.41 fof(f128,plain,(
% 0.08/0.41 multiply(sk_c2,sk_c3)=sk_c7|~sQ9_spl),
% 0.08/0.41 inference(component_clause,[status(thm)],[f127])).
% 0.08/0.41 fof(f130,plain,(
% 0.08/0.41 sQ9_spl|sQ1_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.08/0.41 fof(f131,plain,(
% 0.08/0.41 sQ9_spl|sQ2_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.08/0.41 fof(f132,plain,(
% 0.08/0.41 sQ9_spl|sQ3_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.08/0.41 fof(f133,plain,(
% 0.08/0.41 sQ9_spl|sQ4_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.08/0.41 fof(f134,plain,(
% 0.08/0.41 sQ9_spl|sQ5_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.08/0.41 fof(f135,plain,(
% 0.08/0.41 sQ9_spl|sQ6_spl),
% 0.08/0.41 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.08/0.41 fof(f136,definition,(
% 0.08/0.41 sQ10_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.08/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f137,plain,(
% 0.08/0.42 inverse(sk_c2)=sk_c3|~sQ10_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f136])).
% 0.08/0.42 fof(f139,plain,(
% 0.08/0.42 sQ10_spl|sQ1_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.08/0.42 fof(f140,plain,(
% 0.08/0.42 sQ10_spl|sQ2_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.08/0.42 fof(f141,plain,(
% 0.08/0.42 sQ10_spl|sQ3_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.08/0.42 fof(f142,plain,(
% 0.08/0.42 sQ10_spl|sQ4_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.08/0.42 fof(f143,plain,(
% 0.08/0.42 sQ10_spl|sQ5_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.08/0.42 fof(f144,plain,(
% 0.08/0.42 sQ10_spl|sQ6_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.08/0.42 fof(f145,definition,(
% 0.08/0.42 sQ11_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f146,plain,(
% 0.08/0.42 multiply(sk_c3,sk_c8)=sk_c7|~sQ11_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f145])).
% 0.08/0.42 fof(f148,plain,(
% 0.08/0.42 sQ11_spl|sQ1_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.08/0.42 fof(f149,plain,(
% 0.08/0.42 sQ11_spl|sQ2_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.08/0.42 fof(f150,plain,(
% 0.08/0.42 sQ11_spl|sQ3_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.08/0.42 fof(f151,plain,(
% 0.08/0.42 sQ11_spl|sQ4_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.08/0.42 fof(f152,plain,(
% 0.08/0.42 sQ11_spl|sQ5_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.08/0.42 fof(f153,plain,(
% 0.08/0.42 sQ11_spl|sQ6_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.08/0.42 fof(f154,definition,(
% 0.08/0.42 ![X0]: (sQ12_spl <=> (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f155,plain,(
% 0.08/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ12_spl)),
% 0.08/0.42 inference(component_clause,[status(thm)],[f154])).
% 0.08/0.42 fof(f157,definition,(
% 0.08/0.42 ![X1,X2]: (sQ13_spl <=> (~multiply(X1,X2)=sk_c7|~inverse(X1)=X2|~multiply(X2,sk_c8)=sk_c7))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f158,plain,(
% 0.08/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c7|~sQ13_spl)),
% 0.08/0.42 inference(component_clause,[status(thm)],[f157])).
% 0.08/0.42 fof(f160,definition,(
% 0.08/0.42 ![X3]: (sQ14_spl <=> (~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f161,plain,(
% 0.08/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.08/0.42 inference(component_clause,[status(thm)],[f160])).
% 0.08/0.42 fof(f163,definition,(
% 0.08/0.42 ![X4]: (sQ15_spl <=> (~multiply(X4,sk_c6)=sk_c7|~inverse(X4)=sk_c6))),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f164,plain,(
% 0.08/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ15_spl)),
% 0.08/0.42 inference(component_clause,[status(thm)],[f163])).
% 0.08/0.42 fof(f166,plain,(
% 0.08/0.42 ~sQ0_spl|sQ12_spl|sQ13_spl|~sQ1_spl|sQ14_spl|~sQ4_spl|sQ15_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f81,f82,f154,f157,f85,f160,f97,f163])).
% 0.08/0.42 fof(f167,plain,(
% 0.08/0.42 ~inverse(sk_c5)=sk_c6|~sQ15_spl|~sQ5_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f164,f102])).
% 0.08/0.42 fof(f169,plain,(
% 0.08/0.42 ~sk_c6=sk_c6|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.08/0.42 inference(forward_demodulation,[status(thm)],[f106,f167])).
% 0.08/0.42 fof(f170,plain,(
% 0.08/0.42 $false|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.08/0.42 inference(trivial_equality_resolution,[status(thm)],[f169])).
% 0.08/0.42 fof(f171,plain,(
% 0.08/0.42 ~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f170])).
% 0.08/0.42 fof(f172,plain,(
% 0.08/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c8)=sk_c7|~sQ13_spl)),
% 0.08/0.42 inference(destructive_equality_resolution,[status(thm)],[f158])).
% 0.08/0.42 fof(f173,plain,(
% 0.08/0.42 ~inverse(sk_c4)=sk_c8|~sQ14_spl|~sQ2_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f161,f90])).
% 0.08/0.42 fof(f177,plain,(
% 0.08/0.42 ~sk_c7=sk_c7|~inverse(sk_c3)=sk_c8|~sQ14_spl|~sQ11_spl),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f146,f161])).
% 0.08/0.42 fof(f178,plain,(
% 0.08/0.42 ~sk_c8=sk_c8|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.08/0.42 inference(forward_demodulation,[status(thm)],[f94,f173])).
% 0.08/0.42 fof(f179,plain,(
% 0.08/0.42 $false|~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.08/0.42 inference(trivial_equality_resolution,[status(thm)],[f178])).
% 0.08/0.42 fof(f180,plain,(
% 0.08/0.42 ~sQ3_spl|~sQ14_spl|~sQ2_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f179])).
% 0.08/0.42 fof(f181,plain,(
% 0.08/0.42 ~inverse(sk_c1)=sk_c8|~sQ12_spl|~sQ8_spl),
% 0.08/0.42 inference(resolution,[status(thm)],[f155,f119])).
% 0.08/0.42 fof(f183,plain,(
% 0.08/0.42 ~sk_c8=sk_c8|~sQ7_spl|~sQ12_spl|~sQ8_spl),
% 0.08/0.42 inference(forward_demodulation,[status(thm)],[f110,f181])).
% 0.08/0.42 fof(f184,plain,(
% 0.08/0.42 $false|~sQ7_spl|~sQ12_spl|~sQ8_spl),
% 0.08/0.42 inference(trivial_equality_resolution,[status(thm)],[f183])).
% 0.08/0.42 fof(f185,plain,(
% 0.08/0.42 ~sQ7_spl|~sQ12_spl|~sQ8_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f184])).
% 0.08/0.42 fof(f188,plain,(
% 0.08/0.42 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ5_spl)),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f102,f43])).
% 0.08/0.42 fof(f189,plain,(
% 0.08/0.42 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ8_spl)),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f119,f43])).
% 0.08/0.42 fof(f190,plain,(
% 0.08/0.42 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c3,X0))|~sQ9_spl)),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f128,f43])).
% 0.08/0.42 fof(f191,plain,(
% 0.08/0.42 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c8,X0))|~sQ11_spl)),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f146,f43])).
% 0.08/0.42 fof(f194,plain,(
% 0.08/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c7|~multiply(sk_c3,sk_c8)=sk_c7|~sQ13_spl|~sQ10_spl),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f137,f172])).
% 0.08/0.42 fof(f195,definition,(
% 0.08/0.42 sQ16_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c7)),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f197,plain,(
% 0.08/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c7|sQ16_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f195])).
% 0.08/0.42 fof(f198,plain,(
% 0.08/0.42 ~sQ16_spl|~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f194,f195,f145,f157,f136])).
% 0.08/0.42 fof(f199,plain,(
% 0.08/0.42 ~multiply(sk_c2,sk_c3)=sk_c7|~sQ10_spl|sQ16_spl),
% 0.08/0.42 inference(forward_demodulation,[status(thm)],[f137,f197])).
% 0.08/0.42 fof(f200,plain,(
% 0.08/0.42 ~sk_c7=sk_c7|~sQ9_spl|~sQ10_spl|sQ16_spl),
% 0.08/0.42 inference(forward_demodulation,[status(thm)],[f128,f199])).
% 0.08/0.42 fof(f201,plain,(
% 0.08/0.42 $false|~sQ9_spl|~sQ10_spl|sQ16_spl),
% 0.08/0.42 inference(trivial_equality_resolution,[status(thm)],[f200])).
% 0.08/0.42 fof(f202,plain,(
% 0.08/0.42 ~sQ9_spl|~sQ10_spl|sQ16_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f201])).
% 0.08/0.42 fof(f211,definition,(
% 0.08/0.42 sQ19_spl <=> (sk_c7=sk_c7)),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f213,plain,(
% 0.08/0.42 ~sk_c7=sk_c7|sQ19_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f211])).
% 0.08/0.42 fof(f215,definition,(
% 0.08/0.42 sQ20_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.08/0.42 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.08/0.42 fof(f217,plain,(
% 0.08/0.42 ~inverse(sk_c3)=sk_c8|sQ20_spl),
% 0.08/0.42 inference(component_clause,[status(thm)],[f215])).
% 0.08/0.42 fof(f218,plain,(
% 0.08/0.42 ~sQ19_spl|~sQ20_spl|~sQ14_spl|~sQ11_spl),
% 0.08/0.42 inference(split_clause,[status(thm)],[f177,f211,f215,f160,f145])).
% 0.08/0.42 fof(f219,plain,(
% 0.08/0.42 $false|sQ19_spl),
% 0.08/0.42 inference(trivial_equality_resolution,[status(thm)],[f213])).
% 0.08/0.42 fof(f220,plain,(
% 0.08/0.42 sQ19_spl),
% 0.08/0.42 inference(contradiction_clause,[status(thm)],[f219])).
% 0.08/0.42 fof(f222,plain,(
% 0.08/0.42 multiply(sk_c8,sk_c4)=identity|~sQ3_spl),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f94,f42])).
% 0.08/0.42 fof(f223,plain,(
% 0.08/0.42 multiply(sk_c6,sk_c5)=identity|~sQ6_spl),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f106,f42])).
% 0.08/0.42 fof(f224,plain,(
% 0.08/0.42 multiply(sk_c8,sk_c1)=identity|~sQ7_spl),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f110,f42])).
% 0.08/0.42 fof(f225,plain,(
% 0.08/0.42 multiply(sk_c6,sk_c8)=identity|~sQ4_spl),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f98,f42])).
% 0.08/0.42 fof(f226,plain,(
% 0.08/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.08/0.42 fof(f227,plain,(
% 0.08/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.08/0.42 inference(forward_demodulation,[status(thm)],[f41,f226])).
% 0.08/0.42 fof(f255,plain,(
% 0.08/0.42 multiply(sk_c7,sk_c5)=multiply(sk_c5,identity)|~sQ5_spl|~sQ6_spl),
% 0.08/0.42 inference(paramodulation,[status(thm)],[f223,f188])).
% 0.08/0.42 fof(f260,plain,(
% 0.08/0.42 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c1,X0))|~sQ7_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f224,f43])).
% 0.13/0.42 fof(f261,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c8,multiply(sk_c1,X0))|~sQ7_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f41,f260])).
% 0.13/0.42 fof(f262,plain,(
% 0.13/0.42 multiply(sk_c7,sk_c8)=multiply(sk_c5,identity)|~sQ5_spl|~sQ4_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f225,f188])).
% 0.13/0.42 fof(f264,plain,(
% 0.13/0.42 sk_c6=multiply(sk_c5,identity)|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f83,f262])).
% 0.13/0.42 fof(f266,plain,(
% 0.13/0.42 multiply(sk_c7,sk_c8)=multiply(sk_c2,sk_c7)|~sQ9_spl|~sQ11_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f146,f190])).
% 0.13/0.42 fof(f268,plain,(
% 0.13/0.42 sk_c6=multiply(sk_c2,sk_c7)|~sQ0_spl|~sQ9_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f83,f266])).
% 0.13/0.42 fof(f275,definition,(
% 0.13/0.42 sQ25_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f276,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c8|~sQ25_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f275])).
% 0.13/0.42 fof(f277,plain,(
% 0.13/0.42 ~inverse(sk_c2)=sk_c8|sQ25_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f275])).
% 0.13/0.42 fof(f282,plain,(
% 0.13/0.42 ~sk_c3=sk_c8|~sQ10_spl|sQ25_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f137,f277])).
% 0.13/0.42 fof(f283,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c2)=identity|~sQ10_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f137,f42])).
% 0.13/0.42 fof(f295,plain,(
% 0.13/0.42 sk_c7=multiply(inverse(sk_c1),sk_c8)|~sQ8_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f119,f227])).
% 0.13/0.42 fof(f307,plain,(
% 0.13/0.42 sk_c7=multiply(inverse(sk_c2),sk_c6)|~sQ0_spl|~sQ9_spl|~sQ11_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f268,f227])).
% 0.13/0.42 fof(f309,plain,(
% 0.13/0.42 sk_c3=multiply(inverse(sk_c2),sk_c7)|~sQ9_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f128,f227])).
% 0.13/0.42 fof(f314,plain,(
% 0.13/0.42 sk_c7=multiply(sk_c8,sk_c8)|~sQ7_spl|~sQ8_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f110,f295])).
% 0.13/0.42 fof(f315,plain,(
% 0.13/0.42 sk_c7=multiply(sk_c3,sk_c6)|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f137,f307])).
% 0.13/0.42 fof(f317,plain,(
% 0.13/0.42 sk_c3=multiply(sk_c3,sk_c7)|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f137,f309])).
% 0.13/0.42 fof(f319,plain,(
% 0.13/0.42 multiply(sk_c7,sk_c8)=multiply(sk_c3,sk_c7)|~sQ11_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f314,f191])).
% 0.13/0.42 fof(f323,plain,(
% 0.13/0.42 sk_c6=multiply(sk_c3,sk_c7)|~sQ0_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f83,f319])).
% 0.13/0.42 fof(f331,plain,(
% 0.13/0.42 multiply(sk_c7,sk_c6)=multiply(sk_c2,sk_c7)|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f315,f190])).
% 0.13/0.42 fof(f334,plain,(
% 0.13/0.42 sk_c8=multiply(sk_c2,sk_c7)|~sQ1_spl|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f86,f331])).
% 0.13/0.42 fof(f335,plain,(
% 0.13/0.42 sk_c8=sk_c6|~sQ1_spl|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f268,f334])).
% 0.13/0.42 fof(f343,plain,(
% 0.13/0.42 ~inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl|sQ4_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f335,f99])).
% 0.13/0.42 fof(f353,plain,(
% 0.13/0.42 ~inverse(sk_c3)=sk_c6|~sQ1_spl|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl|sQ20_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f335,f217])).
% 0.13/0.42 fof(f366,plain,(
% 0.13/0.42 sk_c7=multiply(inverse(sk_c3),sk_c3)|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f317,f227])).
% 0.13/0.42 fof(f369,plain,(
% 0.13/0.42 sk_c7=identity|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f42,f366])).
% 0.13/0.42 fof(f373,plain,(
% 0.13/0.42 multiply(sk_c3,sk_c2)=sk_c7|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f369,f283])).
% 0.13/0.42 fof(f374,plain,(
% 0.13/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ10_spl|~sQ9_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f369,f42])).
% 0.13/0.42 fof(f375,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c7,X0)=X0|~sQ10_spl|~sQ9_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f369,f41])).
% 0.13/0.42 fof(f381,plain,(
% 0.13/0.42 sk_c6=sk_c3|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f317,f323])).
% 0.13/0.42 fof(f384,plain,(
% 0.13/0.42 sk_c3=sk_c8|~sQ10_spl|~sQ25_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f137,f276])).
% 0.13/0.42 fof(f387,plain,(
% 0.13/0.42 ~inverse(sk_c3)=sk_c3|~sQ7_spl|~sQ8_spl|~sQ1_spl|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl|sQ20_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f381,f353])).
% 0.13/0.42 fof(f389,plain,(
% 0.13/0.42 ~inverse(sk_c6)=sk_c3|~sQ7_spl|~sQ8_spl|~sQ1_spl|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl|sQ4_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f381,f343])).
% 0.13/0.42 fof(f397,plain,(
% 0.13/0.42 ~inverse(sk_c3)=sk_c3|~sQ7_spl|~sQ8_spl|~sQ1_spl|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl|sQ4_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f381,f389])).
% 0.13/0.42 fof(f451,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c3,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ10_spl|~sQ25_spl|~sQ8_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f384,f189])).
% 0.13/0.42 fof(f453,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c3,X0)=multiply(sk_c1,X0)|~sQ9_spl|~sQ10_spl|~sQ25_spl|~sQ8_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f375,f451])).
% 0.13/0.42 fof(f458,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c3,multiply(sk_c1,X0))|~sQ10_spl|~sQ25_spl|~sQ7_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f384,f261])).
% 0.13/0.42 fof(f459,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c3,multiply(sk_c3,X0))|~sQ9_spl|~sQ8_spl|~sQ10_spl|~sQ25_spl|~sQ7_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f453,f458])).
% 0.13/0.42 fof(f461,plain,(
% 0.13/0.42 sk_c2=multiply(sk_c3,sk_c7)|~sQ8_spl|~sQ25_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f373,f459])).
% 0.13/0.42 fof(f467,plain,(
% 0.13/0.42 sk_c2=sk_c3|~sQ8_spl|~sQ25_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f317,f461])).
% 0.13/0.42 fof(f472,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c3|~sQ8_spl|~sQ25_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f467,f137])).
% 0.13/0.42 fof(f474,plain,(
% 0.13/0.42 $false|~sQ1_spl|~sQ0_spl|~sQ11_spl|sQ20_spl|~sQ8_spl|~sQ25_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f472,f387])).
% 0.13/0.42 fof(f475,plain,(
% 0.13/0.42 ~sQ1_spl|~sQ0_spl|~sQ11_spl|sQ20_spl|~sQ8_spl|~sQ25_spl|~sQ7_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f474])).
% 0.13/0.42 fof(f482,plain,(
% 0.13/0.42 ~sk_c3=sk_c3|~sQ25_spl|~sQ7_spl|~sQ8_spl|~sQ1_spl|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl|sQ4_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f472,f397])).
% 0.13/0.42 fof(f483,plain,(
% 0.13/0.42 $false|~sQ25_spl|~sQ7_spl|~sQ8_spl|~sQ1_spl|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl|sQ4_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f482])).
% 0.13/0.42 fof(f484,plain,(
% 0.13/0.42 ~sQ25_spl|~sQ7_spl|~sQ8_spl|~sQ1_spl|~sQ10_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl|sQ4_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f483])).
% 0.13/0.42 fof(f492,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c3)=sk_c7|~inverse(X0)=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ15_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f381,f164])).
% 0.13/0.42 fof(f493,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c3)=sk_c7|~inverse(X0)=sk_c3|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ15_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f381,f492])).
% 0.13/0.42 fof(f519,plain,(
% 0.13/0.42 ~inverse(inverse(sk_c3))=sk_c3|~sQ0_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ15_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f493,f374])).
% 0.13/0.42 fof(f528,plain,(
% 0.13/0.42 ~inverse(sk_c3)=sk_c3|~sQ25_spl|~sQ0_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ15_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f472,f519])).
% 0.13/0.42 fof(f529,plain,(
% 0.13/0.42 ~sk_c3=sk_c3|~sQ25_spl|~sQ0_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ15_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f472,f528])).
% 0.13/0.42 fof(f530,plain,(
% 0.13/0.42 $false|~sQ25_spl|~sQ0_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ15_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f529])).
% 0.13/0.42 fof(f531,plain,(
% 0.13/0.42 ~sQ25_spl|~sQ0_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ15_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f530])).
% 0.13/0.42 fof(f545,plain,(
% 0.13/0.42 sk_c4=multiply(inverse(sk_c8),identity)|~sQ3_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f222,f227])).
% 0.13/0.42 fof(f547,plain,(
% 0.13/0.42 sk_c4=multiply(sk_c6,identity)|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f98,f545])).
% 0.13/0.42 fof(f574,plain,(
% 0.13/0.42 sk_c8=multiply(inverse(sk_c4),sk_c7)|~sQ2_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f90,f227])).
% 0.13/0.42 fof(f576,plain,(
% 0.13/0.42 sk_c8=multiply(sk_c8,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f94,f574])).
% 0.13/0.42 fof(f604,definition,(
% 0.13/0.42 sQ27_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c7)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f606,plain,(
% 0.13/0.42 ~multiply(sk_c5,inverse(sk_c5))=sk_c7|sQ27_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f604])).
% 0.13/0.42 fof(f612,plain,(
% 0.13/0.42 ~multiply(sk_c5,sk_c6)=sk_c7|~sQ6_spl|sQ27_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f106,f606])).
% 0.13/0.42 fof(f613,plain,(
% 0.13/0.42 ~sk_c7=sk_c7|~sQ5_spl|~sQ6_spl|sQ27_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f102,f612])).
% 0.13/0.42 fof(f614,plain,(
% 0.13/0.42 $false|~sQ5_spl|~sQ6_spl|sQ27_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f613])).
% 0.13/0.42 fof(f615,plain,(
% 0.13/0.42 ~sQ5_spl|~sQ6_spl|sQ27_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f614])).
% 0.13/0.42 fof(f647,plain,(
% 0.13/0.42 ~inverse(sk_c8)=sk_c8|~sk_c8=sk_c8|~sQ12_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f576,f155])).
% 0.13/0.42 fof(f648,plain,(
% 0.13/0.42 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ3_spl|~sQ2_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f576,f227])).
% 0.13/0.42 fof(f651,definition,(
% 0.13/0.42 sQ31_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f653,plain,(
% 0.13/0.42 ~inverse(sk_c8)=sk_c8|sQ31_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f651])).
% 0.13/0.42 fof(f654,definition,(
% 0.13/0.42 sQ32_spl <=> (sk_c8=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f656,plain,(
% 0.13/0.42 ~sk_c8=sk_c8|sQ32_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f654])).
% 0.13/0.42 fof(f657,plain,(
% 0.13/0.42 ~sQ31_spl|~sQ32_spl|~sQ12_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f647,f651,f654,f154,f93,f89])).
% 0.13/0.42 fof(f658,plain,(
% 0.13/0.42 sk_c7=identity|~sQ3_spl|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f42,f648])).
% 0.13/0.42 fof(f661,plain,(
% 0.13/0.42 ~sk_c6=sk_c8|~sQ4_spl|sQ31_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f98,f653])).
% 0.13/0.42 fof(f662,plain,(
% 0.13/0.42 $false|sQ32_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f656])).
% 0.13/0.42 fof(f663,plain,(
% 0.13/0.42 sQ32_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f662])).
% 0.13/0.42 fof(f664,plain,(
% 0.13/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ3_spl|~sQ2_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f658,f42])).
% 0.13/0.42 fof(f668,plain,(
% 0.13/0.42 sk_c4=multiply(sk_c6,sk_c7)|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f658,f547])).
% 0.13/0.42 fof(f671,plain,(
% 0.13/0.42 sk_c6=multiply(sk_c5,sk_c7)|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f658,f264])).
% 0.13/0.42 fof(f672,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c7,X0)=X0|~sQ3_spl|~sQ2_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f658,f41])).
% 0.13/0.42 fof(f679,plain,(
% 0.13/0.42 sk_c6=sk_c8|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f672,f86])).
% 0.13/0.42 fof(f680,plain,(
% 0.13/0.42 $false|~sQ4_spl|sQ31_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f679,f661])).
% 0.13/0.42 fof(f681,plain,(
% 0.13/0.42 ~sQ4_spl|sQ31_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f680])).
% 0.13/0.42 fof(f729,plain,(
% 0.13/0.42 sk_c8=sk_c6|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f672,f83])).
% 0.13/0.42 fof(f750,plain,(
% 0.13/0.42 sk_c5=multiply(sk_c5,identity)|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f672,f255])).
% 0.13/0.42 fof(f751,plain,(
% 0.13/0.42 sk_c5=multiply(sk_c5,sk_c7)|~sQ3_spl|~sQ2_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f658,f750])).
% 0.13/0.42 fof(f800,plain,(
% 0.13/0.42 sk_c6=multiply(sk_c8,sk_c7)|~sQ0_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f729,f576])).
% 0.13/0.42 fof(f801,plain,(
% 0.13/0.42 sk_c6=multiply(sk_c6,sk_c7)|~sQ0_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f729,f800])).
% 0.13/0.42 fof(f810,plain,(
% 0.13/0.42 sk_c6=sk_c4|~sQ4_spl|~sQ0_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f668,f801])).
% 0.13/0.42 fof(f828,plain,(
% 0.13/0.42 sk_c8=sk_c4|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f810,f729])).
% 0.13/0.42 fof(f843,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c4)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ13_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f828,f172])).
% 0.13/0.42 fof(f854,plain,(
% 0.13/0.42 sk_c4=multiply(sk_c5,sk_c7)|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f810,f671])).
% 0.13/0.42 fof(f859,plain,(
% 0.13/0.42 sk_c4=sk_c5|~sQ6_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f751,f854])).
% 0.13/0.42 fof(f877,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c5)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ0_spl|~sQ13_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f859,f843])).
% 0.13/0.42 fof(f878,plain,(
% 0.13/0.42 ~multiply(sk_c5,inverse(sk_c5))=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl|~sQ13_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f877,f664])).
% 0.13/0.42 fof(f881,plain,(
% 0.13/0.42 ~sQ27_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ0_spl|~sQ13_spl|~sQ3_spl|~sQ2_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f878,f604,f105,f101,f97,f82,f157,f93,f89])).
% 0.13/0.42 fof(f895,plain,(
% 0.13/0.42 sk_c8=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f375,f83])).
% 0.13/0.42 fof(f896,plain,(
% 0.13/0.42 sk_c8=sk_c3|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f381,f895])).
% 0.13/0.42 fof(f897,plain,(
% 0.13/0.42 $false|sQ25_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f896,f282])).
% 0.13/0.42 fof(f898,plain,(
% 0.13/0.42 sQ25_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f897])).
% 0.13/0.42 fof(f903,plain,(
% 0.13/0.42 ~sk_c6=sk_c8|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f375,f87])).
% 0.13/0.42 fof(f904,plain,(
% 0.13/0.42 ~sk_c3=sk_c8|~sQ0_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f381,f903])).
% 0.13/0.42 fof(f910,plain,(
% 0.13/0.42 $false|sQ1_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f896,f904])).
% 0.13/0.42 fof(f911,plain,(
% 0.13/0.42 sQ1_spl|~sQ11_spl|~sQ7_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f910])).
% 0.13/0.42 fof(f916,plain,(
% 0.13/0.42 ~multiply(sk_c7,sk_c6)=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f679,f84])).
% 0.13/0.42 fof(f917,plain,(
% 0.13/0.42 ~sk_c6=sk_c6|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f672,f916])).
% 0.13/0.42 fof(f920,plain,(
% 0.13/0.42 $false|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f917])).
% 0.13/0.42 fof(f921,plain,(
% 0.13/0.42 ~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f920])).
% 0.13/0.42 fof(f922,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f88,f92,f96,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,f171,f180,f185,f198,f202,f218,f220,f475,f484,f531,f615,f657,f663,f681,f881,f898,f911,f921])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.072297 seconds
% 0.13/0.43 % CPU time: 0.259192 seconds
% 0.13/0.43 % Total memory used: 99.011 MB
% 0.13/0.43 % Net memory used: 98.813 MB
%------------------------------------------------------------------------------