%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP252-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:20 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP252-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:12:21 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.41 fof(f1,axiom,(
% 0.13/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f2,axiom,(
% 0.13/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f3,axiom,(
% 0.13/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f4,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f5,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f6,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f7,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f8,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f9,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f10,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f11,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f12,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f13,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f14,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f15,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c10| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f16,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c10| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f17,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f20,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f21,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f22,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f23,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f24,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f27,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f28,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f29,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f30,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f31,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f34,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f35,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f36,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f37,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f38,negated_conjecture,(
% 0.13/0.41 ( inverse(sk_c3) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f41,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f42,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c8) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f43,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f44,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c8) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f45,negated_conjecture,(
% 0.13/0.41 ( multiply(sk_c3,sk_c8) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f46,negated_conjecture,(
% 0.13/0.41 (![X4,X5,X6,X1,X2,X3,X7]: (( multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| multiply(X5,sk_c9) != sk_c8| inverse(X5) != sk_c9| inverse(X6) != sk_c9| multiply(X6,sk_c8) != sk_c9| multiply(X1,sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8| multiply(sk_c8,X3) != sk_c9| multiply(X7,sk_c8) != X3| inverse(X7) != sk_c8 ) ))),
% 0.13/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.41 fof(f47,plain,(
% 0.13/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.41 fof(f48,plain,(
% 0.13/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.41 fof(f49,plain,(
% 0.13/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.41 fof(f50,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.41 fof(f51,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.41 fof(f52,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.41 fof(f53,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.41 fof(f54,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.41 fof(f55,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.41 fof(f56,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.41 fof(f57,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.41 fof(f58,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.41 fof(f59,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c8)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.41 fof(f60,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.41 fof(f61,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c10|multiply(sk_c8,sk_c7)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.41 fof(f62,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c10|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.41 fof(f63,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.41 fof(f66,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.41 fof(f67,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.41 fof(f68,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.41 fof(f69,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.41 fof(f70,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c6)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.41 fof(f73,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.41 fof(f74,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.41 fof(f75,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.41 fof(f76,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.41 fof(f77,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.41 fof(f80,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.41 fof(f81,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.41 fof(f82,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.41 fof(f83,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.41 fof(f84,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.41 fof(f87,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.41 fof(f88,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c8)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.41 fof(f89,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.41 fof(f90,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c8)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/0.41 fof(f91,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c8)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.41 fof(f92,plain,(
% 0.13/0.41 ![X7]: ((![X3]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10))|~multiply(X5,sk_c9)=sk_c8)|~inverse(X5)=sk_c9))|~inverse(X6)=sk_c9)|~multiply(X6,sk_c8)=sk_c9))|~multiply(X1,sk_c10)=sk_c9)|~inverse(X1)=sk_c10))|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8))|~multiply(sk_c8,X3)=sk_c9)|~multiply(X7,sk_c8)=X3))|~inverse(X7)=sk_c8)),
% 0.13/0.41 inference(miniscoping,[status(thm)],[f46])).
% 0.13/0.41 fof(f93,plain,(
% 0.13/0.41 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9|~inverse(X2)=sk_c9|~multiply(X2,sk_c8)=sk_c9|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8|~multiply(sk_c8,X5)=sk_c9|~multiply(X6,sk_c8)=X5|~inverse(X6)=sk_c8)),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f92])).
% 0.13/0.41 fof(f94,definition,(
% 0.13/0.41 sQ0_spl <=> (multiply(sk_c1,sk_c10)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f95,plain,(
% 0.13/0.41 multiply(sk_c1,sk_c10)=sk_c9|~sQ0_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f94])).
% 0.13/0.41 fof(f97,definition,(
% 0.13/0.41 sQ1_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f98,plain,(
% 0.13/0.41 multiply(sk_c4,sk_c10)=sk_c9|~sQ1_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.41 fof(f100,plain,(
% 0.13/0.41 sQ0_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.13/0.41 fof(f101,definition,(
% 0.13/0.41 sQ2_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f102,plain,(
% 0.13/0.41 inverse(sk_c4)=sk_c10|~sQ2_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.41 fof(f104,plain,(
% 0.13/0.41 sQ0_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.13/0.41 fof(f105,definition,(
% 0.13/0.41 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f106,plain,(
% 0.13/0.41 multiply(sk_c5,sk_c8)=sk_c9|~sQ3_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f105])).
% 0.13/0.41 fof(f108,plain,(
% 0.13/0.41 sQ0_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.13/0.41 fof(f109,definition,(
% 0.13/0.41 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f110,plain,(
% 0.13/0.41 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.13/0.41 fof(f112,plain,(
% 0.13/0.41 sQ0_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.13/0.41 fof(f113,definition,(
% 0.13/0.41 sQ5_spl <=> (multiply(sk_c8,sk_c7)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f114,plain,(
% 0.13/0.41 multiply(sk_c8,sk_c7)=sk_c9|~sQ5_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f113])).
% 0.13/0.41 fof(f116,plain,(
% 0.13/0.41 sQ0_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f54,f94,f113])).
% 0.13/0.41 fof(f117,definition,(
% 0.13/0.41 sQ6_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f118,plain,(
% 0.13/0.41 multiply(sk_c6,sk_c8)=sk_c7|~sQ6_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.41 fof(f120,plain,(
% 0.13/0.41 sQ0_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f55,f94,f117])).
% 0.13/0.41 fof(f121,definition,(
% 0.13/0.41 sQ7_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f122,plain,(
% 0.13/0.41 inverse(sk_c6)=sk_c8|~sQ7_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.41 fof(f124,plain,(
% 0.13/0.41 sQ0_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f56,f94,f121])).
% 0.13/0.41 fof(f125,definition,(
% 0.13/0.41 sQ8_spl <=> (inverse(sk_c1)=sk_c10)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f126,plain,(
% 0.13/0.41 inverse(sk_c1)=sk_c10|~sQ8_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.41 fof(f128,plain,(
% 0.13/0.41 sQ8_spl|sQ1_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.13/0.41 fof(f129,plain,(
% 0.13/0.41 sQ8_spl|sQ2_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.13/0.41 fof(f130,plain,(
% 0.13/0.41 sQ8_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.13/0.41 fof(f131,plain,(
% 0.13/0.41 sQ8_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.13/0.41 fof(f132,plain,(
% 0.13/0.41 sQ8_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.13/0.41 fof(f133,plain,(
% 0.13/0.41 sQ8_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.13/0.41 fof(f134,plain,(
% 0.13/0.41 sQ8_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.13/0.41 fof(f135,definition,(
% 0.13/0.41 sQ9_spl <=> (multiply(sk_c2,sk_c9)=sk_c8)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f136,plain,(
% 0.13/0.41 multiply(sk_c2,sk_c9)=sk_c8|~sQ9_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f135])).
% 0.13/0.41 fof(f140,plain,(
% 0.13/0.41 sQ9_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.13/0.41 fof(f141,plain,(
% 0.13/0.41 sQ9_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.13/0.41 fof(f142,plain,(
% 0.13/0.41 sQ9_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.13/0.41 fof(f143,plain,(
% 0.13/0.41 sQ9_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.13/0.41 fof(f144,plain,(
% 0.13/0.41 sQ9_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.13/0.41 fof(f145,definition,(
% 0.13/0.41 sQ10_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f146,plain,(
% 0.13/0.41 inverse(sk_c2)=sk_c9|~sQ10_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f145])).
% 0.13/0.41 fof(f150,plain,(
% 0.13/0.41 sQ10_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.13/0.41 fof(f151,plain,(
% 0.13/0.41 sQ10_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.13/0.41 fof(f152,plain,(
% 0.13/0.41 sQ10_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.13/0.41 fof(f153,plain,(
% 0.13/0.41 sQ10_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.13/0.41 fof(f154,plain,(
% 0.13/0.41 sQ10_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.13/0.41 fof(f155,definition,(
% 0.13/0.41 sQ11_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f156,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c9|~sQ11_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f155])).
% 0.13/0.41 fof(f160,plain,(
% 0.13/0.41 sQ11_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f80,f155,f105])).
% 0.13/0.41 fof(f161,plain,(
% 0.13/0.41 sQ11_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f81,f155,f109])).
% 0.13/0.41 fof(f162,plain,(
% 0.13/0.41 sQ11_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f82,f155,f113])).
% 0.13/0.41 fof(f163,plain,(
% 0.13/0.41 sQ11_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f83,f155,f117])).
% 0.13/0.41 fof(f164,plain,(
% 0.13/0.41 sQ11_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f84,f155,f121])).
% 0.13/0.41 fof(f165,definition,(
% 0.13/0.41 sQ12_spl <=> (multiply(sk_c3,sk_c8)=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f166,plain,(
% 0.13/0.41 multiply(sk_c3,sk_c8)=sk_c9|~sQ12_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f165])).
% 0.13/0.41 fof(f170,plain,(
% 0.13/0.41 sQ12_spl|sQ3_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f87,f165,f105])).
% 0.13/0.41 fof(f171,plain,(
% 0.13/0.41 sQ12_spl|sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f88,f165,f109])).
% 0.13/0.41 fof(f172,plain,(
% 0.13/0.41 sQ12_spl|sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f89,f165,f113])).
% 0.13/0.41 fof(f173,plain,(
% 0.13/0.41 sQ12_spl|sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f90,f165,f117])).
% 0.13/0.41 fof(f174,plain,(
% 0.13/0.41 sQ12_spl|sQ7_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f91,f165,f121])).
% 0.13/0.41 fof(f175,definition,(
% 0.13/0.41 ![X0]: (sQ13_spl <=> (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f176,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ13_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f175])).
% 0.13/0.41 fof(f178,definition,(
% 0.13/0.41 ![X1]: (sQ14_spl <=> (~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f179,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f178])).
% 0.13/0.41 fof(f181,definition,(
% 0.13/0.41 ![X2]: (sQ15_spl <=> (~inverse(X2)=sk_c9|~multiply(X2,sk_c8)=sk_c9))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f182,plain,(
% 0.13/0.41 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ15_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f181])).
% 0.13/0.41 fof(f184,definition,(
% 0.13/0.41 ![X4]: (sQ16_spl <=> (~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f185,plain,(
% 0.13/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ16_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f184])).
% 0.13/0.41 fof(f187,definition,(
% 0.13/0.41 ![X5,X6]: (sQ17_spl <=> (~multiply(sk_c8,X5)=sk_c9|~multiply(X6,sk_c8)=X5|~inverse(X6)=sk_c8))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f188,plain,(
% 0.13/0.41 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c9|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ17_spl)),
% 0.13/0.41 inference(component_clause,[status(thm)],[f187])).
% 0.13/0.41 fof(f190,plain,(
% 0.13/0.41 sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl|sQ17_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f93,f175,f178,f181,f184,f187])).
% 0.13/0.41 fof(f191,plain,(
% 0.13/0.41 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c9|~inverse(X0)=sk_c8|~sQ17_spl)),
% 0.13/0.41 inference(destructive_equality_resolution,[status(thm)],[f188])).
% 0.13/0.41 fof(f194,plain,(
% 0.13/0.41 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~sQ3_spl)),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f106,f49])).
% 0.13/0.41 fof(f211,plain,(
% 0.13/0.41 ~multiply(sk_c8,sk_c7)=sk_c9|~inverse(sk_c6)=sk_c8|~sQ17_spl|~sQ6_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f118,f191])).
% 0.13/0.41 fof(f217,plain,(
% 0.13/0.41 ~sQ5_spl|~sQ7_spl|~sQ17_spl|~sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f211,f113,f121,f187,f117])).
% 0.13/0.41 fof(f218,definition,(
% 0.13/0.41 sQ19_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f219,plain,(
% 0.13/0.41 inverse(sk_c3)=sk_c8|~sQ19_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f218])).
% 0.13/0.41 fof(f220,plain,(
% 0.13/0.41 ~inverse(sk_c3)=sk_c8|sQ19_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f218])).
% 0.13/0.41 fof(f222,plain,(
% 0.13/0.41 ~sk_c9=sk_c8|~sQ11_spl|sQ19_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f156,f220])).
% 0.13/0.41 fof(f225,plain,(
% 0.13/0.41 ~sk_c7=sk_c9|~inverse(sk_c6)=sk_c8|~sQ16_spl|~sQ6_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f118,f185])).
% 0.13/0.41 fof(f226,plain,(
% 0.13/0.41 ~sk_c9=sk_c9|~inverse(sk_c3)=sk_c8|~sQ16_spl|~sQ12_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f166,f185])).
% 0.13/0.41 fof(f228,definition,(
% 0.13/0.41 sQ20_spl <=> (sk_c7=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f230,plain,(
% 0.13/0.41 ~sk_c7=sk_c9|sQ20_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f228])).
% 0.13/0.41 fof(f231,plain,(
% 0.13/0.41 ~sQ20_spl|~sQ7_spl|~sQ16_spl|~sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f225,f228,f121,f184,f117])).
% 0.13/0.41 fof(f232,definition,(
% 0.13/0.41 sQ21_spl <=> (sk_c9=sk_c9)),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f234,plain,(
% 0.13/0.41 ~sk_c9=sk_c9|sQ21_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f232])).
% 0.13/0.41 fof(f235,plain,(
% 0.13/0.41 ~sQ21_spl|~sQ19_spl|~sQ16_spl|~sQ12_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f226,f232,f218,f184,f165])).
% 0.13/0.41 fof(f236,plain,(
% 0.13/0.41 $false|sQ21_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f234])).
% 0.13/0.41 fof(f237,plain,(
% 0.13/0.41 sQ21_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f236])).
% 0.13/0.41 fof(f239,plain,(
% 0.13/0.41 multiply(sk_c8,sk_c5)=identity|~sQ4_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f110,f48])).
% 0.13/0.41 fof(f244,plain,(
% 0.13/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.13/0.41 fof(f245,plain,(
% 0.13/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f47,f244])).
% 0.13/0.41 fof(f269,plain,(
% 0.13/0.41 sk_c8=multiply(inverse(sk_c5),sk_c9)|~sQ3_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f106,f245])).
% 0.13/0.41 fof(f279,plain,(
% 0.13/0.41 sk_c10=multiply(inverse(sk_c1),sk_c9)|~sQ0_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f95,f245])).
% 0.13/0.41 fof(f280,plain,(
% 0.13/0.41 sk_c9=multiply(inverse(sk_c2),sk_c8)|~sQ9_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f136,f245])).
% 0.13/0.41 fof(f283,plain,(
% 0.13/0.41 sk_c8=multiply(sk_c8,sk_c9)|~sQ4_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f110,f269])).
% 0.13/0.41 fof(f286,plain,(
% 0.13/0.41 sk_c10=multiply(sk_c10,sk_c9)|~sQ8_spl|~sQ0_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f126,f279])).
% 0.13/0.41 fof(f287,plain,(
% 0.13/0.41 sk_c9=multiply(sk_c9,sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f146,f280])).
% 0.13/0.41 fof(f290,plain,(
% 0.13/0.41 ~inverse(sk_c5)=sk_c9|~sQ15_spl|~sQ3_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f182,f106])).
% 0.13/0.41 fof(f291,plain,(
% 0.13/0.41 ~inverse(sk_c3)=sk_c9|~sQ15_spl|~sQ12_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f182,f166])).
% 0.13/0.41 fof(f293,plain,(
% 0.13/0.41 ~inverse(inverse(sk_c8))=sk_c9|~identity=sk_c9|~sQ15_spl),
% 0.13/0.41 inference(paramodulation,[status(thm)],[f48,f182])).
% 0.13/0.41 fof(f298,plain,(
% 0.13/0.41 ~sk_c8=sk_c9|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f110,f290])).
% 0.13/0.41 fof(f299,plain,(
% 0.13/0.41 ~sk_c9=sk_c9|~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f156,f291])).
% 0.13/0.41 fof(f300,plain,(
% 0.13/0.41 $false|~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f299])).
% 0.13/0.41 fof(f301,plain,(
% 0.13/0.41 ~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f300])).
% 0.13/0.41 fof(f302,plain,(
% 0.13/0.41 ~inverse(sk_c2)=sk_c9|~sQ14_spl|~sQ9_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f179,f136])).
% 0.13/0.41 fof(f307,plain,(
% 0.13/0.41 ~sk_c9=sk_c9|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f146,f302])).
% 0.13/0.42 fof(f308,plain,(
% 0.13/0.42 $false|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f307])).
% 0.13/0.42 fof(f309,plain,(
% 0.13/0.42 ~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f308])).
% 0.13/0.42 fof(f313,plain,(
% 0.13/0.42 sk_c9=multiply(inverse(sk_c8),sk_c8)|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f283,f245])).
% 0.13/0.42 fof(f315,plain,(
% 0.13/0.42 sk_c9=identity|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f48,f313])).
% 0.13/0.42 fof(f319,plain,(
% 0.13/0.42 multiply(sk_c8,sk_c5)=sk_c9|~sQ3_spl|~sQ4_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f315,f239])).
% 0.13/0.42 fof(f320,plain,(
% 0.13/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ4_spl|~sQ3_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f315,f48])).
% 0.13/0.42 fof(f321,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f315,f47])).
% 0.13/0.42 fof(f325,plain,(
% 0.13/0.42 ~inverse(sk_c4)=sk_c10|~sQ13_spl|~sQ1_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f176,f98])).
% 0.13/0.42 fof(f326,plain,(
% 0.13/0.42 ~inverse(sk_c1)=sk_c10|~sQ13_spl|~sQ0_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f176,f95])).
% 0.13/0.42 fof(f331,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f102,f325])).
% 0.13/0.42 fof(f332,plain,(
% 0.13/0.42 $false|~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f331])).
% 0.13/0.42 fof(f333,plain,(
% 0.13/0.42 ~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f332])).
% 0.13/0.42 fof(f341,definition,(
% 0.13/0.42 sQ24_spl <=> (sk_c9=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f343,plain,(
% 0.13/0.42 ~sk_c9=sk_c8|sQ24_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f341])).
% 0.13/0.42 fof(f348,definition,(
% 0.13/0.42 sQ26_spl <=> (sk_c8=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f350,plain,(
% 0.13/0.42 ~sk_c8=sk_c8|sQ26_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f348])).
% 0.13/0.42 fof(f352,plain,(
% 0.13/0.42 $false|sQ26_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f350])).
% 0.13/0.42 fof(f353,plain,(
% 0.13/0.42 sQ26_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f352])).
% 0.13/0.42 fof(f399,definition,(
% 0.13/0.42 sQ27_spl <=> (sk_c3=sk_c3)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f401,plain,(
% 0.13/0.42 ~sk_c3=sk_c3|sQ27_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f399])).
% 0.13/0.42 fof(f410,plain,(
% 0.13/0.42 $false|sQ27_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f401])).
% 0.13/0.42 fof(f411,plain,(
% 0.13/0.42 sQ27_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f410])).
% 0.13/0.42 fof(f436,plain,(
% 0.13/0.42 multiply(sk_c8,sk_c6)=sk_c9|~sQ4_spl|~sQ3_spl|~sQ7_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f122,f320])).
% 0.13/0.42 fof(f474,plain,(
% 0.13/0.42 ~sk_c10=sk_c10|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f126,f326])).
% 0.13/0.42 fof(f475,plain,(
% 0.13/0.42 $false|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f474])).
% 0.13/0.42 fof(f476,plain,(
% 0.13/0.42 ~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f475])).
% 0.13/0.42 fof(f557,definition,(
% 0.13/0.42 sQ34_spl <=> (sk_c7=sk_c8)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f559,plain,(
% 0.13/0.42 ~sk_c7=sk_c8|sQ34_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f557])).
% 0.13/0.42 fof(f564,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c5,multiply(sk_c8,X0))|~sQ4_spl|~sQ3_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f321,f194])).
% 0.13/0.42 fof(f566,plain,(
% 0.13/0.42 sk_c5=multiply(sk_c5,sk_c9)|~sQ3_spl|~sQ4_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f319,f564])).
% 0.13/0.42 fof(f568,plain,(
% 0.13/0.42 sk_c6=multiply(sk_c5,sk_c9)|~sQ4_spl|~sQ3_spl|~sQ7_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f436,f564])).
% 0.13/0.42 fof(f569,plain,(
% 0.13/0.42 sk_c7=multiply(sk_c5,sk_c9)|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f114,f564])).
% 0.13/0.42 fof(f590,definition,(
% 0.13/0.42 sQ39_spl <=> (inverse(sk_c5)=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f592,plain,(
% 0.13/0.42 ~inverse(sk_c5)=sk_c9|sQ39_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f590])).
% 0.13/0.42 fof(f594,plain,(
% 0.13/0.42 sk_c5=sk_c6|~sQ7_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f568,f566])).
% 0.13/0.42 fof(f604,plain,(
% 0.13/0.42 ~sk_c8=sk_c9|~sQ4_spl|sQ39_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f110,f592])).
% 0.13/0.42 fof(f609,plain,(
% 0.13/0.42 multiply(sk_c6,sk_c8)=sk_c9|~sQ7_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f594,f106])).
% 0.13/0.42 fof(f610,plain,(
% 0.13/0.42 sk_c7=sk_c9|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f118,f609])).
% 0.13/0.42 fof(f618,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c7|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f610,f179])).
% 0.13/0.42 fof(f623,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c7,X0)=X0|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f610,f321])).
% 0.13/0.42 fof(f628,plain,(
% 0.13/0.42 ~sk_c7=sk_c8|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|sQ24_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f610,f343])).
% 0.13/0.42 fof(f630,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ14_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f610,f618])).
% 0.13/0.42 fof(f659,plain,(
% 0.13/0.42 sk_c7=multiply(sk_c6,sk_c9)|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f594,f569])).
% 0.13/0.42 fof(f660,plain,(
% 0.13/0.42 sk_c7=multiply(sk_c6,sk_c7)|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f610,f659])).
% 0.13/0.42 fof(f661,plain,(
% 0.13/0.42 ~sk_c7=sk_c8|~inverse(sk_c6)=sk_c7|~sQ14_spl|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f660,f630])).
% 0.13/0.42 fof(f663,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f660,f49])).
% 0.13/0.42 fof(f664,definition,(
% 0.13/0.42 sQ44_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f666,plain,(
% 0.13/0.42 ~inverse(sk_c6)=sk_c7|sQ44_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f664])).
% 0.13/0.42 fof(f667,plain,(
% 0.13/0.42 ~sQ34_spl|~sQ44_spl|~sQ14_spl|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f661,f557,f664,f178,f117,f121,f109,f105,f113])).
% 0.13/0.42 fof(f669,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c6,multiply(sk_c7,X0))|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f623,f663])).
% 0.13/0.42 fof(f670,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c6,X0)|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f623,f669])).
% 0.13/0.42 fof(f672,plain,(
% 0.13/0.42 sk_c8=sk_c7|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f670,f118])).
% 0.13/0.42 fof(f676,plain,(
% 0.13/0.42 $false|sQ34_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f672,f559])).
% 0.13/0.42 fof(f677,plain,(
% 0.13/0.42 sQ34_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f676])).
% 0.13/0.42 fof(f679,plain,(
% 0.13/0.42 ~sk_c7=sk_c7|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|sQ20_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f610,f230])).
% 0.13/0.42 fof(f680,plain,(
% 0.13/0.42 $false|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|sQ20_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f679])).
% 0.13/0.42 fof(f681,plain,(
% 0.13/0.42 ~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|sQ20_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f680])).
% 0.13/0.42 fof(f682,plain,(
% 0.13/0.42 ~sQ34_spl|~sQ6_spl|~sQ7_spl|~sQ4_spl|~sQ3_spl|sQ24_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f628,f557,f117,f121,f109,f105,f341])).
% 0.13/0.42 fof(f683,plain,(
% 0.13/0.42 ~sk_c8=sk_c7|~sQ6_spl|~sQ7_spl|~sQ3_spl|~sQ4_spl|sQ39_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f610,f604])).
% 0.13/0.42 fof(f686,plain,(
% 0.13/0.42 ~sk_c8=sk_c7|~sQ7_spl|sQ44_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f122,f666])).
% 0.13/0.42 fof(f703,plain,(
% 0.13/0.42 ~sk_c7=sk_c7|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ3_spl|~sQ4_spl|sQ39_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f672,f683])).
% 0.13/0.42 fof(f704,plain,(
% 0.13/0.42 $false|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ3_spl|~sQ4_spl|sQ39_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f703])).
% 0.13/0.42 fof(f705,plain,(
% 0.13/0.42 ~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ3_spl|~sQ4_spl|sQ39_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f704])).
% 0.13/0.42 fof(f714,definition,(
% 0.13/0.42 sQ45_spl <=> (inverse(inverse(sk_c8))=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f717,definition,(
% 0.13/0.42 sQ46_spl <=> (identity=sk_c9)),
% 0.13/0.42 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.13/0.42 fof(f719,plain,(
% 0.13/0.42 ~identity=sk_c9|sQ46_spl),
% 0.13/0.42 inference(component_clause,[status(thm)],[f717])).
% 0.13/0.42 fof(f720,plain,(
% 0.13/0.42 ~sQ45_spl|~sQ46_spl|~sQ15_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f293,f714,f717,f181])).
% 0.13/0.42 fof(f729,plain,(
% 0.13/0.42 ~sQ24_spl|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f298,f341,f109,f181,f105])).
% 0.13/0.42 fof(f730,plain,(
% 0.13/0.42 ~sQ39_spl|~sQ15_spl|~sQ3_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f290,f590,f181,f105])).
% 0.13/0.42 fof(f733,plain,(
% 0.13/0.42 ~sQ34_spl|~sQ7_spl|sQ44_spl),
% 0.13/0.42 inference(split_clause,[status(thm)],[f686,f557,f121,f664])).
% 0.13/0.42 fof(f773,plain,(
% 0.13/0.42 sk_c9=multiply(inverse(sk_c10),sk_c10)|~sQ8_spl|~sQ0_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f286,f245])).
% 0.13/0.42 fof(f775,plain,(
% 0.13/0.42 sk_c9=identity|~sQ8_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f48,f773])).
% 0.13/0.42 fof(f776,plain,(
% 0.13/0.42 $false|sQ46_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f775,f719])).
% 0.13/0.42 fof(f777,plain,(
% 0.13/0.42 sQ46_spl|~sQ8_spl|~sQ0_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f776])).
% 0.13/0.42 fof(f780,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ8_spl|~sQ0_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f775,f47])).
% 0.13/0.42 fof(f781,plain,(
% 0.13/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ8_spl|~sQ0_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f775,f48])).
% 0.13/0.42 fof(f798,plain,(
% 0.13/0.42 sk_c9=sk_c8|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f780,f287])).
% 0.13/0.42 fof(f799,plain,(
% 0.13/0.42 $false|~sQ11_spl|sQ19_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f798,f222])).
% 0.13/0.42 fof(f800,plain,(
% 0.13/0.42 ~sQ11_spl|sQ19_spl|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f799])).
% 0.13/0.42 fof(f802,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c8,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f798,f780])).
% 0.13/0.42 fof(f810,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c8|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f798,f146])).
% 0.13/0.42 fof(f827,plain,(
% 0.13/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f798,f781])).
% 0.13/0.42 fof(f830,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(sk_c8,X0)=multiply(inverse(X1),multiply(X1,X0))|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f827,f49])).
% 0.13/0.42 fof(f831,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c8,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f245,f830])).
% 0.13/0.42 fof(f836,plain,(
% 0.13/0.42 multiply(sk_c8,sk_c2)=sk_c8|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f810,f827])).
% 0.13/0.42 fof(f838,plain,(
% 0.13/0.42 sk_c2=sk_c8|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f802,f836])).
% 0.13/0.42 fof(f840,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f838,f810])).
% 0.13/0.42 fof(f843,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ19_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f838,f219])).
% 0.13/0.42 fof(f845,plain,(
% 0.13/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f838,f827])).
% 0.13/0.42 fof(f846,plain,(
% 0.13/0.42 sk_c9=sk_c2|~sQ8_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f838,f798])).
% 0.13/0.42 fof(f858,plain,(
% 0.13/0.42 ![X0]: (~multiply(sk_c2,multiply(X0,sk_c8))=sk_c9|~inverse(X0)=sk_c8|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ17_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f838,f191])).
% 0.13/0.42 fof(f859,plain,(
% 0.13/0.42 ![X0]: (~multiply(sk_c2,multiply(X0,sk_c2))=sk_c9|~inverse(X0)=sk_c8|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ17_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f838,f858])).
% 0.13/0.42 fof(f860,plain,(
% 0.13/0.42 ![X0]: (~multiply(sk_c2,multiply(X0,sk_c2))=sk_c2|~inverse(X0)=sk_c8|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ17_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f846,f859])).
% 0.13/0.42 fof(f861,plain,(
% 0.13/0.42 ![X0]: (~multiply(sk_c2,multiply(X0,sk_c2))=sk_c2|~inverse(X0)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ17_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f838,f860])).
% 0.13/0.42 fof(f881,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ17_spl)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f882,f861])).
% 0.13/0.42 fof(f882,plain,(
% 0.13/0.42 ![X0]: (multiply(sk_c2,X0)=X0|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f838,f831])).
% 0.13/0.42 fof(f889,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c2,multiply(sk_c3,X0))|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ19_spl)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f843,f245])).
% 0.13/0.42 fof(f890,plain,(
% 0.13/0.42 ![X0]: (X0=multiply(sk_c3,X0)|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ19_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f882,f889])).
% 0.13/0.42 fof(f978,plain,(
% 0.13/0.42 multiply(sk_c2,sk_c3)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ19_spl),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f843,f845])).
% 0.13/0.42 fof(f982,plain,(
% 0.13/0.42 sk_c3=sk_c2|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ19_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f882,f978])).
% 0.13/0.42 fof(f988,plain,(
% 0.13/0.42 inverse(sk_c2)=sk_c3|~sQ19_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f982,f840])).
% 0.13/0.42 fof(f1002,plain,(
% 0.13/0.42 inverse(sk_c3)=sk_c3|~sQ19_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f982,f988])).
% 0.13/0.42 fof(f1011,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c3)=sk_c2|~inverse(X0)=sk_c2|~sQ19_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ17_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f982,f881])).
% 0.13/0.42 fof(f1012,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c2|~sQ19_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ17_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f982,f1011])).
% 0.13/0.42 fof(f1013,plain,(
% 0.13/0.42 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c3|~sQ19_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ17_spl)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f982,f1012])).
% 0.13/0.42 fof(f1014,plain,(
% 0.13/0.42 ~inverse(sk_c3)=sk_c3|~sQ17_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ19_spl),
% 0.13/0.42 inference(resolution,[status(thm)],[f1013,f890])).
% 0.13/0.42 fof(f1017,plain,(
% 0.13/0.42 ~sk_c3=sk_c3|~sQ17_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ19_spl),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1002,f1014])).
% 0.13/0.42 fof(f1018,plain,(
% 0.13/0.42 $false|~sQ17_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ19_spl),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1017])).
% 0.13/0.42 fof(f1019,plain,(
% 0.13/0.42 ~sQ17_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl|~sQ10_spl|~sQ19_spl),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f1018])).
% 0.13/0.42 fof(f1020,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f100,f104,f108,f112,f116,f120,f124,f128,f129,f130,f131,f132,f133,f134,f140,f141,f142,f143,f144,f150,f151,f152,f153,f154,f160,f161,f162,f163,f164,f170,f171,f172,f173,f174,f190,f217,f231,f235,f237,f301,f309,f333,f353,f411,f476,f667,f677,f681,f682,f705,f720,f729,f730,f733,f777,f800,f1019])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.069227 seconds
% 0.13/0.44 % CPU time: 0.243085 seconds
% 0.13/0.44 % Total memory used: 105.281 MB
% 0.13/0.44 % Net memory used: 105.121 MB
%------------------------------------------------------------------------------