%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP336-1 : 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 : n004.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 0.02s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP336-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:09:20 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.42 % Refutation found
% 0.02/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.42 fof(f1,axiom,(
% 0.02/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f2,axiom,(
% 0.02/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f3,axiom,(
% 0.02/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f4,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c9,sk_c10) = sk_c8| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f5,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c9,sk_c10) = sk_c8| inverse(sk_c4) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f6,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c9,sk_c10) = sk_c8| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f7,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c9,sk_c10) = sk_c8| inverse(sk_c5) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f8,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c9,sk_c10) = sk_c8| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f9,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c9,sk_c10) = sk_c8| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f10,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c9,sk_c10) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f12,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f13,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f14,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f15,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f16,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f17,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c1) = sk_c10| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f18,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c7 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f20,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f21,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f22,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f23,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f24,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c5,sk_c9) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f25,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f26,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c6) = sk_c7 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f28,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c2,sk_c3) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f29,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c2,sk_c3) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f30,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c2,sk_c3) = sk_c9| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f33,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c2,sk_c3) = sk_c9| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f34,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c2,sk_c3) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f36,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f37,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f38,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c2) = sk_c3| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f41,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c2) = sk_c3| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f42,negated_conjecture,(
% 0.02/0.42 ( inverse(sk_c2) = sk_c3| inverse(sk_c6) = sk_c7 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f44,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c3,sk_c10) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f45,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c3,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f46,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c3,sk_c10) = sk_c9| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f49,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c3,sk_c10) = sk_c9| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f50,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c3,sk_c10) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f51,negated_conjecture,(
% 0.02/0.42 ( multiply(sk_c3,sk_c10) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f52,negated_conjecture,(
% 0.02/0.42 (![X4,X5,X6,X1,X2,X7,X3]: (( multiply(sk_c9,sk_c10) != sk_c8| inverse(X4) != sk_c10| multiply(X4,sk_c9) != sk_c10| multiply(X5,X6) != sk_c9| inverse(X5) != X6| multiply(X6,sk_c10) != sk_c9| multiply(X1,sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(sk_c10,sk_c8) != sk_c9| inverse(X2) != sk_c10| multiply(X2,sk_c9) != sk_c10| multiply(X7,X3) != sk_c9| inverse(X7) != X3| multiply(X3,sk_c8) != sk_c9 ) ))),
% 0.02/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/0.42 fof(f53,plain,(
% 0.02/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.02/0.42 fof(f54,plain,(
% 0.02/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.02/0.42 fof(f55,plain,(
% 0.02/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/0.42 fof(f56,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c10)=sk_c8|multiply(sk_c4,sk_c10)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.02/0.42 fof(f57,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c10)=sk_c8|inverse(sk_c4)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.02/0.42 fof(f58,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c10)=sk_c8|multiply(sk_c10,sk_c8)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.02/0.42 fof(f59,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c10)=sk_c8|inverse(sk_c5)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.02/0.42 fof(f60,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c10)=sk_c8|multiply(sk_c5,sk_c9)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.02/0.42 fof(f61,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c10)=sk_c8|multiply(sk_c6,sk_c7)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f9])).
% 0.02/0.42 fof(f62,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c10)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.02/0.42 fof(f64,plain,(
% 0.02/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f12])).
% 0.02/0.42 fof(f65,plain,(
% 0.02/0.42 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f13])).
% 0.02/0.42 fof(f66,plain,(
% 0.02/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f14])).
% 0.02/0.42 fof(f67,plain,(
% 0.02/0.42 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f15])).
% 0.02/0.42 fof(f68,plain,(
% 0.02/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c9)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.02/0.42 fof(f69,plain,(
% 0.02/0.42 inverse(sk_c1)=sk_c10|multiply(sk_c6,sk_c7)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f17])).
% 0.02/0.42 fof(f70,plain,(
% 0.02/0.42 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c7),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f18])).
% 0.02/0.42 fof(f72,plain,(
% 0.02/0.42 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f20])).
% 0.02/0.42 fof(f73,plain,(
% 0.02/0.42 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f21])).
% 0.02/0.42 fof(f74,plain,(
% 0.02/0.42 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f22])).
% 0.02/0.42 fof(f75,plain,(
% 0.02/0.42 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f23])).
% 0.02/0.42 fof(f76,plain,(
% 0.02/0.42 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c5,sk_c9)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f24])).
% 0.02/0.42 fof(f77,plain,(
% 0.02/0.42 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c6,sk_c7)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f25])).
% 0.02/0.42 fof(f78,plain,(
% 0.02/0.42 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c6)=sk_c7),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f26])).
% 0.02/0.42 fof(f80,plain,(
% 0.02/0.42 multiply(sk_c2,sk_c3)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f28])).
% 0.02/0.42 fof(f81,plain,(
% 0.02/0.42 multiply(sk_c2,sk_c3)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f29])).
% 0.02/0.42 fof(f82,plain,(
% 0.02/0.42 multiply(sk_c2,sk_c3)=sk_c9|multiply(sk_c10,sk_c8)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f30])).
% 0.02/0.42 fof(f85,plain,(
% 0.02/0.42 multiply(sk_c2,sk_c3)=sk_c9|multiply(sk_c6,sk_c7)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f33])).
% 0.02/0.42 fof(f86,plain,(
% 0.02/0.42 multiply(sk_c2,sk_c3)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f34])).
% 0.02/0.42 fof(f88,plain,(
% 0.02/0.42 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c10)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.02/0.42 fof(f89,plain,(
% 0.02/0.42 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f37])).
% 0.02/0.42 fof(f90,plain,(
% 0.02/0.42 inverse(sk_c2)=sk_c3|multiply(sk_c10,sk_c8)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f38])).
% 0.02/0.42 fof(f93,plain,(
% 0.02/0.42 inverse(sk_c2)=sk_c3|multiply(sk_c6,sk_c7)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f41])).
% 0.02/0.42 fof(f94,plain,(
% 0.02/0.42 inverse(sk_c2)=sk_c3|inverse(sk_c6)=sk_c7),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f42])).
% 0.02/0.42 fof(f96,plain,(
% 0.02/0.42 multiply(sk_c3,sk_c10)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f44])).
% 0.02/0.42 fof(f97,plain,(
% 0.02/0.42 multiply(sk_c3,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f45])).
% 0.02/0.42 fof(f98,plain,(
% 0.02/0.42 multiply(sk_c3,sk_c10)=sk_c9|multiply(sk_c10,sk_c8)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f46])).
% 0.02/0.42 fof(f101,plain,(
% 0.02/0.42 multiply(sk_c3,sk_c10)=sk_c9|multiply(sk_c6,sk_c7)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f49])).
% 0.02/0.42 fof(f102,plain,(
% 0.02/0.42 multiply(sk_c3,sk_c10)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f50])).
% 0.02/0.42 fof(f103,plain,(
% 0.02/0.42 multiply(sk_c3,sk_c10)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f51])).
% 0.02/0.42 fof(f104,plain,(
% 0.02/0.42 ![X3]: ((![X7]: (((![X2]: ((((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~multiply(sk_c9,sk_c10)=sk_c8|~inverse(X4)=sk_c10)|~multiply(X4,sk_c9)=sk_c10))|~multiply(X5,X6)=sk_c9)|~inverse(X5)=X6))|~multiply(X6,sk_c10)=sk_c9))|~multiply(X1,sk_c10)=sk_c9)|~inverse(X1)=sk_c10))|~multiply(sk_c10,sk_c8)=sk_c9)|~inverse(X2)=sk_c10)|~multiply(X2,sk_c9)=sk_c10))|~multiply(X7,X3)=sk_c9)|~inverse(X7)=X3))|~multiply(X3,sk_c8)=sk_c9)),
% 0.02/0.42 inference(miniscoping,[status(thm)],[f52])).
% 0.02/0.42 fof(f105,plain,(
% 0.02/0.42 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(sk_c9,sk_c10)=sk_c8|~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~multiply(X1,X2)=sk_c9|~inverse(X1)=X2|~multiply(X2,sk_c10)=sk_c9|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(sk_c10,sk_c8)=sk_c9|~inverse(X4)=sk_c10|~multiply(X4,sk_c9)=sk_c10|~multiply(X5,X6)=sk_c9|~inverse(X5)=X6|~multiply(X6,sk_c8)=sk_c9)),
% 0.02/0.42 inference(cnf_transformation,[status(thm)],[f104])).
% 0.02/0.42 fof(f106,definition,(
% 0.02/0.42 sQ0_spl <=> (multiply(sk_c9,sk_c10)=sk_c8)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f107,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c10)=sk_c8|~sQ0_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f106])).
% 0.02/0.42 fof(f108,plain,(
% 0.02/0.42 ~multiply(sk_c9,sk_c10)=sk_c8|sQ0_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f106])).
% 0.02/0.42 fof(f109,definition,(
% 0.02/0.42 sQ1_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f110,plain,(
% 0.02/0.42 multiply(sk_c4,sk_c10)=sk_c9|~sQ1_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f109])).
% 0.02/0.42 fof(f112,plain,(
% 0.02/0.42 sQ0_spl|sQ1_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f56,f106,f109])).
% 0.02/0.42 fof(f113,definition,(
% 0.02/0.42 sQ2_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f114,plain,(
% 0.02/0.42 inverse(sk_c4)=sk_c10|~sQ2_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f113])).
% 0.02/0.42 fof(f116,plain,(
% 0.02/0.42 sQ0_spl|sQ2_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f57,f106,f113])).
% 0.02/0.42 fof(f117,definition,(
% 0.02/0.42 sQ3_spl <=> (multiply(sk_c10,sk_c8)=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f118,plain,(
% 0.02/0.42 multiply(sk_c10,sk_c8)=sk_c9|~sQ3_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f117])).
% 0.02/0.42 fof(f119,plain,(
% 0.02/0.42 ~multiply(sk_c10,sk_c8)=sk_c9|sQ3_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f117])).
% 0.02/0.42 fof(f120,plain,(
% 0.02/0.42 sQ0_spl|sQ3_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f58,f106,f117])).
% 0.02/0.42 fof(f121,definition,(
% 0.02/0.42 sQ4_spl <=> (inverse(sk_c5)=sk_c10)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f122,plain,(
% 0.02/0.42 inverse(sk_c5)=sk_c10|~sQ4_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f121])).
% 0.02/0.42 fof(f124,plain,(
% 0.02/0.42 sQ0_spl|sQ4_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f59,f106,f121])).
% 0.02/0.42 fof(f125,definition,(
% 0.02/0.42 sQ5_spl <=> (multiply(sk_c5,sk_c9)=sk_c10)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f126,plain,(
% 0.02/0.42 multiply(sk_c5,sk_c9)=sk_c10|~sQ5_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f125])).
% 0.02/0.42 fof(f128,plain,(
% 0.02/0.42 sQ0_spl|sQ5_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f60,f106,f125])).
% 0.02/0.42 fof(f129,definition,(
% 0.02/0.42 sQ6_spl <=> (multiply(sk_c6,sk_c7)=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f130,plain,(
% 0.02/0.42 multiply(sk_c6,sk_c7)=sk_c9|~sQ6_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f129])).
% 0.02/0.42 fof(f132,plain,(
% 0.02/0.42 sQ0_spl|sQ6_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f61,f106,f129])).
% 0.02/0.42 fof(f133,definition,(
% 0.02/0.42 sQ7_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f134,plain,(
% 0.02/0.42 inverse(sk_c6)=sk_c7|~sQ7_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f133])).
% 0.02/0.42 fof(f136,plain,(
% 0.02/0.42 sQ0_spl|sQ7_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f62,f106,f133])).
% 0.02/0.42 fof(f137,definition,(
% 0.02/0.42 sQ8_spl <=> (multiply(sk_c7,sk_c8)=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f138,plain,(
% 0.02/0.42 multiply(sk_c7,sk_c8)=sk_c9|~sQ8_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f137])).
% 0.02/0.42 fof(f141,definition,(
% 0.02/0.42 sQ9_spl <=> (inverse(sk_c1)=sk_c10)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f142,plain,(
% 0.02/0.42 inverse(sk_c1)=sk_c10|~sQ9_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f141])).
% 0.02/0.42 fof(f144,plain,(
% 0.02/0.42 sQ9_spl|sQ1_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f64,f141,f109])).
% 0.02/0.42 fof(f145,plain,(
% 0.02/0.42 sQ9_spl|sQ2_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f65,f141,f113])).
% 0.02/0.42 fof(f146,plain,(
% 0.02/0.42 sQ9_spl|sQ3_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f66,f141,f117])).
% 0.02/0.42 fof(f147,plain,(
% 0.02/0.42 sQ9_spl|sQ4_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f67,f141,f121])).
% 0.02/0.42 fof(f148,plain,(
% 0.02/0.42 sQ9_spl|sQ5_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f68,f141,f125])).
% 0.02/0.42 fof(f149,plain,(
% 0.02/0.42 sQ9_spl|sQ6_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f69,f141,f129])).
% 0.02/0.42 fof(f150,plain,(
% 0.02/0.42 sQ9_spl|sQ7_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f70,f141,f133])).
% 0.02/0.42 fof(f152,definition,(
% 0.02/0.42 sQ10_spl <=> (multiply(sk_c1,sk_c9)=sk_c10)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f153,plain,(
% 0.02/0.42 multiply(sk_c1,sk_c9)=sk_c10|~sQ10_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f152])).
% 0.02/0.42 fof(f155,plain,(
% 0.02/0.42 sQ10_spl|sQ1_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f72,f152,f109])).
% 0.02/0.42 fof(f156,plain,(
% 0.02/0.42 sQ10_spl|sQ2_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f73,f152,f113])).
% 0.02/0.42 fof(f157,plain,(
% 0.02/0.42 sQ10_spl|sQ3_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f74,f152,f117])).
% 0.02/0.42 fof(f158,plain,(
% 0.02/0.42 sQ10_spl|sQ4_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f75,f152,f121])).
% 0.02/0.42 fof(f159,plain,(
% 0.02/0.42 sQ10_spl|sQ5_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f76,f152,f125])).
% 0.02/0.42 fof(f160,plain,(
% 0.02/0.42 sQ10_spl|sQ6_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f77,f152,f129])).
% 0.02/0.42 fof(f161,plain,(
% 0.02/0.42 sQ10_spl|sQ7_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f78,f152,f133])).
% 0.02/0.42 fof(f163,definition,(
% 0.02/0.42 sQ11_spl <=> (multiply(sk_c2,sk_c3)=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f164,plain,(
% 0.02/0.42 multiply(sk_c2,sk_c3)=sk_c9|~sQ11_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f163])).
% 0.02/0.42 fof(f166,plain,(
% 0.02/0.42 sQ11_spl|sQ1_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f80,f163,f109])).
% 0.02/0.42 fof(f167,plain,(
% 0.02/0.42 sQ11_spl|sQ2_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f81,f163,f113])).
% 0.02/0.42 fof(f168,plain,(
% 0.02/0.42 sQ11_spl|sQ3_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f82,f163,f117])).
% 0.02/0.42 fof(f171,plain,(
% 0.02/0.42 sQ11_spl|sQ6_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f85,f163,f129])).
% 0.02/0.42 fof(f172,plain,(
% 0.02/0.42 sQ11_spl|sQ7_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f86,f163,f133])).
% 0.02/0.42 fof(f174,definition,(
% 0.02/0.42 sQ12_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f175,plain,(
% 0.02/0.42 inverse(sk_c2)=sk_c3|~sQ12_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f174])).
% 0.02/0.42 fof(f177,plain,(
% 0.02/0.42 sQ12_spl|sQ1_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f88,f174,f109])).
% 0.02/0.42 fof(f178,plain,(
% 0.02/0.42 sQ12_spl|sQ2_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f89,f174,f113])).
% 0.02/0.42 fof(f179,plain,(
% 0.02/0.42 sQ12_spl|sQ3_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f90,f174,f117])).
% 0.02/0.42 fof(f182,plain,(
% 0.02/0.42 sQ12_spl|sQ6_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f93,f174,f129])).
% 0.02/0.42 fof(f183,plain,(
% 0.02/0.42 sQ12_spl|sQ7_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f94,f174,f133])).
% 0.02/0.42 fof(f185,definition,(
% 0.02/0.42 sQ13_spl <=> (multiply(sk_c3,sk_c10)=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f186,plain,(
% 0.02/0.42 multiply(sk_c3,sk_c10)=sk_c9|~sQ13_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f185])).
% 0.02/0.42 fof(f188,plain,(
% 0.02/0.42 sQ13_spl|sQ1_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f96,f185,f109])).
% 0.02/0.42 fof(f189,plain,(
% 0.02/0.42 sQ13_spl|sQ2_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f97,f185,f113])).
% 0.02/0.42 fof(f190,plain,(
% 0.02/0.42 sQ13_spl|sQ3_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f98,f185,f117])).
% 0.02/0.42 fof(f193,plain,(
% 0.02/0.42 sQ13_spl|sQ6_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f101,f185,f129])).
% 0.02/0.42 fof(f194,plain,(
% 0.02/0.42 sQ13_spl|sQ7_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f102,f185,f133])).
% 0.02/0.42 fof(f195,plain,(
% 0.02/0.42 sQ13_spl|sQ8_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f103,f185,f137])).
% 0.02/0.42 fof(f196,definition,(
% 0.02/0.42 ![X0]: (sQ14_spl <=> (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10))),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f197,plain,(
% 0.02/0.42 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~sQ14_spl)),
% 0.02/0.42 inference(component_clause,[status(thm)],[f196])).
% 0.02/0.42 fof(f199,definition,(
% 0.02/0.42 ![X1,X2]: (sQ15_spl <=> (~multiply(X1,X2)=sk_c9|~inverse(X1)=X2|~multiply(X2,sk_c10)=sk_c9))),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f200,plain,(
% 0.02/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c9|~sQ15_spl)),
% 0.02/0.42 inference(component_clause,[status(thm)],[f199])).
% 0.02/0.42 fof(f202,definition,(
% 0.02/0.42 ![X3]: (sQ16_spl <=> (~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10))),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f203,plain,(
% 0.02/0.42 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ16_spl)),
% 0.02/0.42 inference(component_clause,[status(thm)],[f202])).
% 0.02/0.42 fof(f205,definition,(
% 0.02/0.42 ![X5,X6]: (sQ17_spl <=> (~multiply(X5,X6)=sk_c9|~inverse(X5)=X6|~multiply(X6,sk_c8)=sk_c9))),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f206,plain,(
% 0.02/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c9|~sQ17_spl)),
% 0.02/0.42 inference(component_clause,[status(thm)],[f205])).
% 0.02/0.42 fof(f208,plain,(
% 0.02/0.42 ~sQ0_spl|sQ14_spl|sQ15_spl|sQ16_spl|~sQ3_spl|sQ17_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f105,f106,f196,f199,f202,f117,f205])).
% 0.02/0.42 fof(f209,plain,(
% 0.02/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c8)=sk_c9|~sQ17_spl)),
% 0.02/0.42 inference(destructive_equality_resolution,[status(thm)],[f206])).
% 0.02/0.42 fof(f214,plain,(
% 0.02/0.42 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ6_spl)),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f130,f55])).
% 0.02/0.42 fof(f216,plain,(
% 0.02/0.42 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c1,multiply(sk_c9,X0))|~sQ10_spl)),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f153,f55])).
% 0.02/0.42 fof(f217,plain,(
% 0.02/0.42 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c2,multiply(sk_c3,X0))|~sQ11_spl)),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f164,f55])).
% 0.02/0.42 fof(f218,plain,(
% 0.02/0.42 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c3,multiply(sk_c10,X0))|~sQ13_spl)),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f186,f55])).
% 0.02/0.42 fof(f227,plain,(
% 0.02/0.42 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|~multiply(sk_c10,sk_c8)=sk_c9|~sQ17_spl|~sQ2_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f114,f209])).
% 0.02/0.42 fof(f231,plain,(
% 0.02/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|~multiply(sk_c3,sk_c8)=sk_c9|~sQ17_spl|~sQ12_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f175,f209])).
% 0.02/0.42 fof(f232,definition,(
% 0.02/0.42 sQ18_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f233,plain,(
% 0.02/0.42 multiply(sk_c4,inverse(sk_c4))=sk_c9|~sQ18_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f232])).
% 0.02/0.42 fof(f234,plain,(
% 0.02/0.42 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|sQ18_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f232])).
% 0.02/0.42 fof(f235,plain,(
% 0.02/0.42 ~sQ18_spl|~sQ3_spl|~sQ17_spl|~sQ2_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f227,f232,f117,f205,f113])).
% 0.02/0.42 fof(f248,definition,(
% 0.02/0.42 sQ22_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f250,plain,(
% 0.02/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|sQ22_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f248])).
% 0.02/0.42 fof(f251,definition,(
% 0.02/0.42 sQ23_spl <=> (multiply(sk_c3,sk_c8)=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f253,plain,(
% 0.02/0.42 ~multiply(sk_c3,sk_c8)=sk_c9|sQ23_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f251])).
% 0.02/0.42 fof(f254,plain,(
% 0.02/0.42 ~sQ22_spl|~sQ23_spl|~sQ17_spl|~sQ12_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f231,f248,f251,f205,f174])).
% 0.02/0.42 fof(f255,plain,(
% 0.02/0.42 ~multiply(sk_c2,sk_c3)=sk_c9|~sQ12_spl|sQ22_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f175,f250])).
% 0.02/0.42 fof(f256,plain,(
% 0.02/0.42 ~sk_c9=sk_c9|~sQ11_spl|~sQ12_spl|sQ22_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f164,f255])).
% 0.02/0.42 fof(f257,plain,(
% 0.02/0.42 $false|~sQ11_spl|~sQ12_spl|sQ22_spl),
% 0.02/0.42 inference(trivial_equality_resolution,[status(thm)],[f256])).
% 0.02/0.42 fof(f258,plain,(
% 0.02/0.42 ~sQ11_spl|~sQ12_spl|sQ22_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f257])).
% 0.02/0.42 fof(f262,plain,(
% 0.02/0.42 ~sk_c9=sk_c9|~inverse(sk_c4)=sk_c10|~sQ16_spl|~sQ1_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f110,f203])).
% 0.02/0.42 fof(f264,definition,(
% 0.02/0.42 sQ24_spl <=> (sk_c9=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f266,plain,(
% 0.02/0.42 ~sk_c9=sk_c9|sQ24_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f264])).
% 0.02/0.42 fof(f267,plain,(
% 0.02/0.42 ~sQ24_spl|~sQ2_spl|~sQ16_spl|~sQ1_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f262,f264,f113,f202,f109])).
% 0.02/0.42 fof(f272,plain,(
% 0.02/0.42 $false|sQ24_spl),
% 0.02/0.42 inference(trivial_equality_resolution,[status(thm)],[f266])).
% 0.02/0.42 fof(f273,plain,(
% 0.02/0.42 sQ24_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f272])).
% 0.02/0.42 fof(f274,plain,(
% 0.02/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c10)=sk_c9|~sQ15_spl)),
% 0.02/0.42 inference(destructive_equality_resolution,[status(thm)],[f200])).
% 0.02/0.42 fof(f276,plain,(
% 0.02/0.42 multiply(sk_c7,sk_c6)=identity|~sQ7_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f134,f54])).
% 0.02/0.42 fof(f277,plain,(
% 0.02/0.42 multiply(sk_c10,sk_c5)=identity|~sQ4_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f122,f54])).
% 0.02/0.42 fof(f278,plain,(
% 0.02/0.42 multiply(sk_c10,sk_c4)=identity|~sQ2_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f114,f54])).
% 0.02/0.42 fof(f280,plain,(
% 0.02/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f54,f55])).
% 0.02/0.42 fof(f281,plain,(
% 0.02/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f53,f280])).
% 0.02/0.42 fof(f285,plain,(
% 0.02/0.42 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~sQ7_spl)),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f276,f55])).
% 0.02/0.42 fof(f286,plain,(
% 0.02/0.42 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~sQ7_spl)),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f53,f285])).
% 0.02/0.42 fof(f288,plain,(
% 0.02/0.42 ![X0]: (multiply(identity,X0)=multiply(sk_c10,multiply(sk_c5,X0))|~sQ4_spl)),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f277,f55])).
% 0.02/0.42 fof(f289,plain,(
% 0.02/0.42 ![X0]: (X0=multiply(sk_c10,multiply(sk_c5,X0))|~sQ4_spl)),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f53,f288])).
% 0.02/0.42 fof(f298,plain,(
% 0.02/0.42 ~multiply(sk_c4,inverse(sk_c4))=sk_c9|~multiply(sk_c10,sk_c10)=sk_c9|~sQ15_spl|~sQ2_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f114,f274])).
% 0.02/0.42 fof(f299,plain,(
% 0.02/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|~multiply(sk_c3,sk_c10)=sk_c9|~sQ15_spl|~sQ12_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f175,f274])).
% 0.02/0.42 fof(f311,definition,(
% 0.02/0.42 sQ29_spl <=> (multiply(sk_c10,sk_c10)=sk_c9)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f313,plain,(
% 0.02/0.42 ~multiply(sk_c10,sk_c10)=sk_c9|sQ29_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f311])).
% 0.02/0.42 fof(f315,plain,(
% 0.02/0.42 ~sQ18_spl|~sQ29_spl|~sQ15_spl|~sQ2_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f298,f232,f311,f199,f113])).
% 0.02/0.42 fof(f316,plain,(
% 0.02/0.42 ~sQ22_spl|~sQ13_spl|~sQ15_spl|~sQ12_spl),
% 0.02/0.42 inference(split_clause,[status(thm)],[f299,f248,f185,f199,f174])).
% 0.02/0.42 fof(f320,plain,(
% 0.02/0.42 sk_c7=multiply(sk_c7,sk_c9)|~sQ7_spl|~sQ6_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f130,f286])).
% 0.02/0.42 fof(f325,plain,(
% 0.02/0.42 sk_c9=multiply(sk_c10,sk_c10)|~sQ4_spl|~sQ5_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f126,f289])).
% 0.02/0.42 fof(f336,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c9)=multiply(sk_c6,sk_c7)|~sQ7_spl|~sQ6_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f320,f214])).
% 0.02/0.42 fof(f342,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c9)=sk_c9|~sQ7_spl|~sQ6_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f130,f336])).
% 0.02/0.42 fof(f355,plain,(
% 0.02/0.42 sk_c9=multiply(inverse(sk_c9),sk_c9)|~sQ7_spl|~sQ6_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f342,f281])).
% 0.02/0.42 fof(f365,plain,(
% 0.02/0.42 sk_c6=multiply(inverse(sk_c7),identity)|~sQ7_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f276,f281])).
% 0.02/0.42 fof(f366,plain,(
% 0.02/0.42 sk_c8=multiply(inverse(sk_c7),sk_c9)|~sQ8_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f138,f281])).
% 0.02/0.42 fof(f372,plain,(
% 0.02/0.42 sk_c10=multiply(inverse(sk_c4),sk_c9)|~sQ1_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f110,f281])).
% 0.02/0.42 fof(f380,plain,(
% 0.02/0.42 sk_c9=identity|~sQ7_spl|~sQ6_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f54,f355])).
% 0.02/0.42 fof(f391,plain,(
% 0.02/0.42 multiply(sk_c10,sk_c4)=sk_c9|~sQ7_spl|~sQ6_spl|~sQ2_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f380,f278])).
% 0.02/0.42 fof(f393,plain,(
% 0.02/0.42 multiply(sk_c7,sk_c6)=sk_c9|~sQ6_spl|~sQ7_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f380,f276])).
% 0.02/0.42 fof(f395,plain,(
% 0.02/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ7_spl|~sQ6_spl)),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f380,f53])).
% 0.02/0.42 fof(f397,plain,(
% 0.02/0.42 ~sk_c10=sk_c8|~sQ7_spl|~sQ6_spl|sQ0_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f395,f108])).
% 0.02/0.42 fof(f417,plain,(
% 0.02/0.42 ![X0]: (X0=multiply(sk_c3,multiply(sk_c10,X0))|~sQ7_spl|~sQ6_spl|~sQ13_spl)),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f395,f218])).
% 0.02/0.42 fof(f419,plain,(
% 0.02/0.42 sk_c10=multiply(sk_c3,sk_c9)|~sQ7_spl|~sQ6_spl|~sQ13_spl|~sQ4_spl|~sQ5_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f325,f417])).
% 0.02/0.42 fof(f422,plain,(
% 0.02/0.42 sk_c8=multiply(sk_c3,sk_c9)|~sQ7_spl|~sQ6_spl|~sQ13_spl|~sQ3_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f118,f417])).
% 0.02/0.42 fof(f430,plain,(
% 0.02/0.42 sk_c4=multiply(inverse(sk_c10),sk_c9)|~sQ7_spl|~sQ6_spl|~sQ2_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f391,f281])).
% 0.02/0.42 fof(f443,plain,(
% 0.02/0.42 sk_c10=sk_c8|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ13_spl|~sQ4_spl|~sQ5_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f422,f419])).
% 0.02/0.42 fof(f446,plain,(
% 0.02/0.42 $false|sQ0_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ13_spl|~sQ4_spl|~sQ5_spl),
% 0.02/0.42 inference(forward_subsumption_resolution,[status(thm)],[f443,f397])).
% 0.02/0.42 fof(f447,plain,(
% 0.02/0.42 sQ0_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ13_spl|~sQ4_spl|~sQ5_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f446])).
% 0.02/0.42 fof(f454,plain,(
% 0.02/0.42 ~multiply(sk_c4,sk_c10)=sk_c9|~sQ2_spl|sQ18_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f114,f234])).
% 0.02/0.42 fof(f455,plain,(
% 0.02/0.42 ~sk_c9=sk_c9|~sQ1_spl|~sQ2_spl|sQ18_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f110,f454])).
% 0.02/0.42 fof(f456,plain,(
% 0.02/0.42 $false|~sQ1_spl|~sQ2_spl|sQ18_spl),
% 0.02/0.42 inference(trivial_equality_resolution,[status(thm)],[f455])).
% 0.02/0.42 fof(f457,plain,(
% 0.02/0.42 ~sQ1_spl|~sQ2_spl|sQ18_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f456])).
% 0.02/0.42 fof(f458,plain,(
% 0.02/0.42 sk_c10=sk_c8|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f395,f107])).
% 0.02/0.42 fof(f511,definition,(
% 0.02/0.42 sQ36_spl <=> (sk_c8=sk_c8)),
% 0.02/0.42 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.02/0.42 fof(f513,plain,(
% 0.02/0.42 ~sk_c8=sk_c8|sQ36_spl),
% 0.02/0.42 inference(component_clause,[status(thm)],[f511])).
% 0.02/0.42 fof(f515,plain,(
% 0.02/0.42 $false|sQ36_spl),
% 0.02/0.42 inference(trivial_equality_resolution,[status(thm)],[f513])).
% 0.02/0.42 fof(f516,plain,(
% 0.02/0.42 sQ36_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f515])).
% 0.02/0.42 fof(f522,plain,(
% 0.02/0.42 sk_c3=multiply(inverse(sk_c2),sk_c9)|~sQ11_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f164,f281])).
% 0.02/0.42 fof(f530,plain,(
% 0.02/0.42 inverse(sk_c5)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ4_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f458,f122])).
% 0.02/0.42 fof(f533,plain,(
% 0.02/0.42 ~multiply(sk_c8,sk_c10)=sk_c9|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ29_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f458,f313])).
% 0.02/0.42 fof(f534,plain,(
% 0.02/0.42 ~multiply(sk_c8,sk_c8)=sk_c9|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ29_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f458,f533])).
% 0.02/0.42 fof(f557,plain,(
% 0.02/0.42 multiply(sk_c8,sk_c8)=sk_c9|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ3_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f458,f118])).
% 0.02/0.42 fof(f558,plain,(
% 0.02/0.42 $false|sQ29_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ3_spl),
% 0.02/0.42 inference(forward_subsumption_resolution,[status(thm)],[f557,f534])).
% 0.02/0.42 fof(f559,plain,(
% 0.02/0.42 sQ29_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ3_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f558])).
% 0.02/0.42 fof(f585,plain,(
% 0.02/0.42 sk_c9=identity|~sQ6_spl|~sQ7_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f393,f276])).
% 0.02/0.42 fof(f586,plain,(
% 0.02/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c9)=sk_c10|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ14_spl)),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f458,f197])).
% 0.02/0.42 fof(f587,plain,(
% 0.02/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c9)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ14_spl)),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f458,f586])).
% 0.02/0.42 fof(f603,plain,(
% 0.02/0.42 multiply(sk_c5,sk_c9)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ5_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f458,f126])).
% 0.02/0.42 fof(f604,plain,(
% 0.02/0.42 ~inverse(sk_c5)=sk_c8|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ14_spl),
% 0.02/0.42 inference(resolution,[status(thm)],[f603,f587])).
% 0.02/0.42 fof(f608,plain,(
% 0.02/0.42 ~sk_c8=sk_c8|~sQ4_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ14_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f530,f604])).
% 0.02/0.42 fof(f609,plain,(
% 0.02/0.42 $false|~sQ4_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ14_spl),
% 0.02/0.42 inference(trivial_equality_resolution,[status(thm)],[f608])).
% 0.02/0.42 fof(f610,plain,(
% 0.02/0.42 ~sQ4_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ14_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f609])).
% 0.02/0.42 fof(f618,plain,(
% 0.02/0.42 ~inverse(sk_c1)=sk_c10|~sQ10_spl|~sQ14_spl),
% 0.02/0.42 inference(resolution,[status(thm)],[f153,f197])).
% 0.02/0.42 fof(f620,plain,(
% 0.02/0.42 sk_c9=multiply(inverse(sk_c1),sk_c10)|~sQ10_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f153,f281])).
% 0.02/0.42 fof(f622,plain,(
% 0.02/0.42 ~sk_c10=sk_c10|~sQ9_spl|~sQ10_spl|~sQ14_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f142,f618])).
% 0.02/0.42 fof(f623,plain,(
% 0.02/0.42 $false|~sQ9_spl|~sQ10_spl|~sQ14_spl),
% 0.02/0.42 inference(trivial_equality_resolution,[status(thm)],[f622])).
% 0.02/0.42 fof(f624,plain,(
% 0.02/0.42 ~sQ9_spl|~sQ10_spl|~sQ14_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f623])).
% 0.02/0.42 fof(f625,plain,(
% 0.02/0.42 sk_c9=multiply(sk_c10,sk_c10)|~sQ9_spl|~sQ10_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f142,f620])).
% 0.02/0.42 fof(f657,plain,(
% 0.02/0.42 inverse(sk_c4)=multiply(inverse(sk_c4),sk_c9)|~sQ18_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f233,f281])).
% 0.02/0.42 fof(f659,plain,(
% 0.02/0.42 inverse(sk_c4)=sk_c10|~sQ1_spl|~sQ18_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f372,f657])).
% 0.02/0.42 fof(f661,plain,(
% 0.02/0.42 sk_c10=multiply(sk_c10,sk_c9)|~sQ18_spl|~sQ1_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f659,f372])).
% 0.02/0.42 fof(f671,plain,(
% 0.02/0.42 multiply(sk_c10,sk_c10)=multiply(sk_c1,sk_c8)|~sQ10_spl|~sQ0_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f107,f216])).
% 0.02/0.42 fof(f674,plain,(
% 0.02/0.42 sk_c9=multiply(sk_c1,sk_c8)|~sQ9_spl|~sQ10_spl|~sQ0_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f625,f671])).
% 0.02/0.42 fof(f678,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c10)=multiply(sk_c2,sk_c9)|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f186,f217])).
% 0.02/0.42 fof(f682,plain,(
% 0.02/0.42 sk_c8=multiply(sk_c2,sk_c9)|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f107,f678])).
% 0.02/0.42 fof(f696,plain,(
% 0.02/0.42 sk_c9=multiply(inverse(sk_c2),sk_c8)|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f682,f281])).
% 0.02/0.42 fof(f698,plain,(
% 0.02/0.42 sk_c9=multiply(sk_c3,sk_c8)|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f175,f696])).
% 0.02/0.42 fof(f699,plain,(
% 0.02/0.42 $false|sQ23_spl|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(forward_subsumption_resolution,[status(thm)],[f698,f253])).
% 0.02/0.42 fof(f700,plain,(
% 0.02/0.42 sQ23_spl|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f699])).
% 0.02/0.42 fof(f704,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c8)=multiply(sk_c2,sk_c9)|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f698,f217])).
% 0.02/0.42 fof(f707,plain,(
% 0.02/0.42 multiply(sk_c9,sk_c8)=sk_c8|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f682,f704])).
% 0.02/0.42 fof(f708,plain,(
% 0.02/0.42 multiply(sk_c10,sk_c8)=multiply(sk_c1,sk_c8)|~sQ10_spl|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f707,f216])).
% 0.02/0.42 fof(f711,plain,(
% 0.02/0.42 multiply(sk_c10,sk_c8)=sk_c9|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f674,f708])).
% 0.02/0.42 fof(f712,plain,(
% 0.02/0.42 $false|sQ3_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(forward_subsumption_resolution,[status(thm)],[f711,f119])).
% 0.02/0.42 fof(f713,plain,(
% 0.02/0.42 sQ3_spl|~sQ9_spl|~sQ10_spl|~sQ12_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f712])).
% 0.02/0.42 fof(f861,plain,(
% 0.02/0.42 sk_c8=sk_c6|~sQ6_spl|~sQ7_spl|~sQ8_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f862,f366])).
% 0.02/0.42 fof(f862,plain,(
% 0.02/0.42 sk_c6=multiply(inverse(sk_c7),sk_c9)|~sQ6_spl|~sQ7_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f585,f365])).
% 0.02/0.42 fof(f868,plain,(
% 0.02/0.42 ~sk_c10=sk_c6|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ0_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f861,f397])).
% 0.02/0.42 fof(f900,plain,(
% 0.02/0.42 multiply(sk_c10,sk_c6)=sk_c9|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ3_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f861,f118])).
% 0.02/0.42 fof(f905,plain,(
% 0.02/0.42 sk_c10=multiply(inverse(sk_c10),sk_c9)|~sQ4_spl|~sQ5_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f325,f281])).
% 0.02/0.42 fof(f907,plain,(
% 0.02/0.42 sk_c10=sk_c4|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f430,f905])).
% 0.02/0.42 fof(f911,plain,(
% 0.02/0.42 ~sk_c4=sk_c6|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ0_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f907,f868])).
% 0.02/0.42 fof(f916,plain,(
% 0.02/0.42 inverse(sk_c4)=sk_c4|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ18_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f907,f659])).
% 0.02/0.42 fof(f927,plain,(
% 0.02/0.42 multiply(sk_c4,sk_c6)=sk_c9|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ3_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f907,f900])).
% 0.02/0.42 fof(f928,plain,(
% 0.02/0.42 sk_c6=multiply(inverse(sk_c4),sk_c9)|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ3_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f927,f281])).
% 0.02/0.42 fof(f930,plain,(
% 0.02/0.42 sk_c6=multiply(sk_c4,sk_c9)|~sQ1_spl|~sQ18_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl|~sQ7_spl|~sQ8_spl|~sQ3_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f916,f928])).
% 0.02/0.42 fof(f948,plain,(
% 0.02/0.42 sk_c4=multiply(sk_c10,sk_c9)|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ18_spl|~sQ1_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f907,f661])).
% 0.02/0.42 fof(f949,plain,(
% 0.02/0.42 sk_c4=multiply(sk_c4,sk_c9)|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ18_spl|~sQ1_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f907,f948])).
% 0.02/0.42 fof(f955,plain,(
% 0.02/0.42 sk_c4=sk_c6|~sQ8_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ18_spl|~sQ1_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f930,f949])).
% 0.02/0.42 fof(f958,plain,(
% 0.02/0.42 $false|sQ0_spl|~sQ8_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ18_spl|~sQ1_spl),
% 0.02/0.42 inference(forward_subsumption_resolution,[status(thm)],[f955,f911])).
% 0.02/0.42 fof(f959,plain,(
% 0.02/0.42 sQ0_spl|~sQ8_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl|~sQ18_spl|~sQ1_spl),
% 0.02/0.42 inference(contradiction_clause,[status(thm)],[f958])).
% 0.02/0.42 fof(f967,plain,(
% 0.02/0.42 sk_c3=multiply(sk_c3,sk_c9)|~sQ12_spl|~sQ11_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f175,f522])).
% 0.02/0.42 fof(f1007,plain,(
% 0.02/0.42 sk_c9=multiply(inverse(sk_c3),sk_c3)|~sQ12_spl|~sQ11_spl),
% 0.02/0.42 inference(paramodulation,[status(thm)],[f967,f281])).
% 0.02/0.42 fof(f1009,plain,(
% 0.02/0.42 sk_c9=identity|~sQ12_spl|~sQ11_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f54,f1007])).
% 0.02/0.42 fof(f1014,plain,(
% 0.02/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ12_spl|~sQ11_spl)),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f1009,f53])).
% 0.02/0.42 fof(f1016,plain,(
% 0.02/0.42 sk_c10=sk_c8|~sQ12_spl|~sQ11_spl|~sQ0_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f1014,f107])).
% 0.02/0.42 fof(f1026,plain,(
% 0.02/0.42 inverse(sk_c1)=sk_c8|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ9_spl),
% 0.02/0.42 inference(backward_demodulation,[status(thm)],[f1016,f142])).
% 0.02/0.42 fof(f1033,plain,(
% 0.02/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c10|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ16_spl)),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f1016,f203])).
% 0.02/0.42 fof(f1034,plain,(
% 0.02/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ16_spl)),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f1016,f1033])).
% 0.02/0.42 fof(f1036,plain,(
% 0.02/0.42 ~inverse(sk_c1)=sk_c8|~sQ12_spl|~sQ11_spl|~sQ16_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl),
% 0.02/0.42 inference(resolution,[status(thm)],[f1034,f674])).
% 0.02/0.42 fof(f1059,plain,(
% 0.02/0.42 ~sk_c8=sk_c8|~sQ12_spl|~sQ11_spl|~sQ16_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl),
% 0.02/0.42 inference(forward_demodulation,[status(thm)],[f1026,f1036])).
% 0.02/0.42 fof(f1060,plain,(
% 0.02/0.42 $false|~sQ12_spl|~sQ11_spl|~sQ16_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl),
% 0.02/0.42 inference(trivial_equality_resolution,[status(thm)],[f1059])).
% 0.02/0.42 fof(f1061,plain,(
% 0.02/0.42 ~sQ12_spl|~sQ11_spl|~sQ16_spl|~sQ9_spl|~sQ10_spl|~sQ0_spl),
% 0.02/0.43 inference(contradiction_clause,[status(thm)],[f1060])).
% 0.02/0.43 fof(f1062,plain,(
% 0.02/0.43 $false),
% 0.02/0.43 inference(sat_refutation,[status(thm)],[f112,f116,f120,f124,f128,f132,f136,f144,f145,f146,f147,f148,f149,f150,f155,f156,f157,f158,f159,f160,f161,f166,f167,f168,f171,f172,f177,f178,f179,f182,f183,f188,f189,f190,f193,f194,f195,f208,f235,f254,f258,f267,f273,f315,f316,f447,f457,f516,f559,f610,f624,f700,f713,f959,f1061])).
% 0.02/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.43 % Elapsed time: 0.063131 seconds
% 0.02/0.43 % CPU time: 0.270149 seconds
% 0.02/0.43 % Total memory used: 78.012 MB
% 0.02/0.43 % Net memory used: 77.735 MB
%------------------------------------------------------------------------------