%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP257-1 : 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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:20 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP257-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:07:42 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f3,axiom,(
% 0.12/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f6,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f7,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f8,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f10,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f11,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f12,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f13,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f14,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f15,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f17,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f20,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f21,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f22,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f23,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f24,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f27,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f28,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f29,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c9| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f30,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f31,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f34,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f35,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f36,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f37,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f38,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c8| inverse(sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f41,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f42,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f43,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c9) = sk_c8| multiply(sk_c8,sk_c7) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f44,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c9) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f45,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c9) = sk_c8| inverse(sk_c6) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f46,negated_conjecture,(
% 0.12/0.40 (![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_c8| multiply(X6,sk_c9) != sk_c8| 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 ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f47,plain,(
% 0.12/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.40 fof(f48,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.40 fof(f49,plain,(
% 0.12/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.40 fof(f50,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.40 fof(f51,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.40 fof(f52,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.40 fof(f53,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.40 fof(f54,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.40 fof(f55,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f56,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.40 fof(f57,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.40 fof(f58,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.40 fof(f59,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.40 fof(f60,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f61,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c8,sk_c7)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.40 fof(f62,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c6,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.40 fof(f63,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.40 fof(f66,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.40 fof(f67,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.40 fof(f68,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.40 fof(f69,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.40 fof(f70,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.40 fof(f73,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.40 fof(f74,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.40 fof(f75,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c9|multiply(sk_c8,sk_c7)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.40 fof(f76,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.40 fof(f77,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.40 fof(f80,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.40 fof(f81,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.40 fof(f82,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.40 fof(f83,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.40 fof(f84,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c8|inverse(sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.40 fof(f87,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.12/0.40 fof(f88,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/0.40 fof(f89,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c9)=sk_c8|multiply(sk_c8,sk_c7)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.12/0.40 fof(f90,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c9)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f44])).
% 0.12/0.40 fof(f91,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c9)=sk_c8|inverse(sk_c6)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.12/0.40 fof(f92,plain,(
% 0.12/0.40 ![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_c8)|~multiply(X6,sk_c9)=sk_c8))|~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)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f46])).
% 0.12/0.40 fof(f93,plain,(
% 0.12/0.40 ![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_c8|~multiply(X2,sk_c9)=sk_c8|~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)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f92])).
% 0.12/0.40 fof(f94,definition,(
% 0.12/0.40 sQ0_spl <=> (multiply(sk_c1,sk_c10)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f95,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c10)=sk_c9|~sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f94])).
% 0.12/0.40 fof(f97,definition,(
% 0.12/0.40 sQ1_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f98,plain,(
% 0.12/0.40 multiply(sk_c4,sk_c10)=sk_c9|~sQ1_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.12/0.40 fof(f100,plain,(
% 0.12/0.40 sQ0_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.12/0.40 fof(f101,definition,(
% 0.12/0.40 sQ2_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f102,plain,(
% 0.12/0.40 inverse(sk_c4)=sk_c10|~sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.12/0.40 fof(f104,plain,(
% 0.12/0.40 sQ0_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.12/0.40 fof(f105,definition,(
% 0.12/0.40 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f106,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c8)=sk_c9|~sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.12/0.40 fof(f108,plain,(
% 0.12/0.40 sQ0_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.12/0.40 fof(f109,definition,(
% 0.12/0.40 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f110,plain,(
% 0.12/0.40 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.12/0.40 fof(f112,plain,(
% 0.12/0.40 sQ0_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.12/0.40 fof(f113,definition,(
% 0.12/0.40 sQ5_spl <=> (multiply(sk_c8,sk_c7)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f114,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c7)=sk_c9|~sQ5_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f113])).
% 0.12/0.40 fof(f116,plain,(
% 0.12/0.40 sQ0_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f54,f94,f113])).
% 0.12/0.40 fof(f117,definition,(
% 0.12/0.40 sQ6_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f118,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c8)=sk_c7|~sQ6_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.40 fof(f120,plain,(
% 0.12/0.40 sQ0_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f55,f94,f117])).
% 0.12/0.40 fof(f121,definition,(
% 0.12/0.40 sQ7_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f122,plain,(
% 0.12/0.40 inverse(sk_c6)=sk_c8|~sQ7_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.12/0.40 fof(f124,plain,(
% 0.12/0.40 sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f56,f94,f121])).
% 0.12/0.40 fof(f125,definition,(
% 0.12/0.40 sQ8_spl <=> (inverse(sk_c1)=sk_c10)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f126,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c10|~sQ8_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f125])).
% 0.12/0.40 fof(f128,plain,(
% 0.12/0.40 sQ8_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.12/0.40 fof(f129,plain,(
% 0.12/0.40 sQ8_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.12/0.40 fof(f130,plain,(
% 0.12/0.40 sQ8_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.12/0.40 fof(f131,plain,(
% 0.12/0.40 sQ8_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.12/0.40 fof(f132,plain,(
% 0.12/0.40 sQ8_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.12/0.40 fof(f133,plain,(
% 0.12/0.40 sQ8_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.12/0.40 fof(f134,plain,(
% 0.12/0.40 sQ8_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.12/0.40 fof(f135,definition,(
% 0.12/0.40 sQ9_spl <=> (multiply(sk_c2,sk_c9)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f136,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c9)=sk_c8|~sQ9_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f135])).
% 0.12/0.40 fof(f140,plain,(
% 0.12/0.40 sQ9_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.12/0.40 fof(f141,plain,(
% 0.12/0.40 sQ9_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.12/0.40 fof(f142,plain,(
% 0.12/0.40 sQ9_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.12/0.40 fof(f143,plain,(
% 0.12/0.40 sQ9_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.12/0.40 fof(f144,plain,(
% 0.12/0.40 sQ9_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.12/0.40 fof(f145,definition,(
% 0.12/0.40 sQ10_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f146,plain,(
% 0.12/0.40 inverse(sk_c2)=sk_c9|~sQ10_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f145])).
% 0.12/0.40 fof(f150,plain,(
% 0.12/0.40 sQ10_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.12/0.40 fof(f151,plain,(
% 0.12/0.40 sQ10_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.12/0.40 fof(f152,plain,(
% 0.12/0.40 sQ10_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.12/0.40 fof(f153,plain,(
% 0.12/0.40 sQ10_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.12/0.40 fof(f154,plain,(
% 0.12/0.40 sQ10_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.12/0.40 fof(f155,definition,(
% 0.12/0.40 sQ11_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f156,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c8|~sQ11_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f155])).
% 0.12/0.40 fof(f160,plain,(
% 0.12/0.40 sQ11_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f80,f155,f105])).
% 0.12/0.40 fof(f161,plain,(
% 0.12/0.40 sQ11_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f81,f155,f109])).
% 0.12/0.40 fof(f162,plain,(
% 0.12/0.40 sQ11_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f82,f155,f113])).
% 0.12/0.40 fof(f163,plain,(
% 0.12/0.40 sQ11_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f83,f155,f117])).
% 0.12/0.40 fof(f164,plain,(
% 0.12/0.40 sQ11_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f84,f155,f121])).
% 0.12/0.40 fof(f165,definition,(
% 0.12/0.40 sQ12_spl <=> (multiply(sk_c3,sk_c9)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f166,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c9)=sk_c8|~sQ12_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f165])).
% 0.12/0.40 fof(f170,plain,(
% 0.12/0.40 sQ12_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f87,f165,f105])).
% 0.12/0.40 fof(f171,plain,(
% 0.12/0.40 sQ12_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f88,f165,f109])).
% 0.12/0.40 fof(f172,plain,(
% 0.12/0.40 sQ12_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f89,f165,f113])).
% 0.12/0.40 fof(f173,plain,(
% 0.12/0.40 sQ12_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f90,f165,f117])).
% 0.12/0.40 fof(f174,plain,(
% 0.12/0.40 sQ12_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f91,f165,f121])).
% 0.12/0.40 fof(f175,definition,(
% 0.12/0.40 ![X0]: (sQ13_spl <=> (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f176,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ13_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f175])).
% 0.12/0.40 fof(f178,definition,(
% 0.12/0.40 ![X1]: (sQ14_spl <=> (~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f179,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f178])).
% 0.12/0.40 fof(f181,definition,(
% 0.12/0.40 ![X2]: (sQ15_spl <=> (~inverse(X2)=sk_c8|~multiply(X2,sk_c9)=sk_c8))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f182,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c9)=sk_c8|~sQ15_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f181])).
% 0.12/0.40 fof(f184,definition,(
% 0.12/0.40 ![X4]: (sQ16_spl <=> (~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f185,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ16_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f184])).
% 0.12/0.40 fof(f187,definition,(
% 0.12/0.40 ![X5,X6]: (sQ17_spl <=> (~multiply(sk_c8,X5)=sk_c9|~multiply(X6,sk_c8)=X5|~inverse(X6)=sk_c8))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f188,plain,(
% 0.12/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c9|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ17_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f187])).
% 0.12/0.40 fof(f190,plain,(
% 0.12/0.40 sQ13_spl|sQ14_spl|sQ15_spl|sQ16_spl|sQ17_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f93,f175,f178,f181,f184,f187])).
% 0.12/0.40 fof(f191,plain,(
% 0.12/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c9|~inverse(X0)=sk_c8|~sQ17_spl)),
% 0.12/0.40 inference(destructive_equality_resolution,[status(thm)],[f188])).
% 0.12/0.40 fof(f202,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c6)=identity|~sQ7_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f122,f48])).
% 0.12/0.40 fof(f205,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c3)=identity|~sQ11_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f156,f48])).
% 0.12/0.40 fof(f206,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.12/0.40 fof(f207,plain,(
% 0.12/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f47,f206])).
% 0.12/0.40 fof(f211,plain,(
% 0.12/0.40 ~multiply(sk_c8,sk_c9)=sk_c9|~inverse(sk_c5)=sk_c8|~sQ17_spl|~sQ3_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f106,f191])).
% 0.12/0.40 fof(f214,plain,(
% 0.12/0.40 ~multiply(sk_c8,sk_c7)=sk_c9|~inverse(sk_c6)=sk_c8|~sQ17_spl|~sQ6_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f118,f191])).
% 0.12/0.40 fof(f216,definition,(
% 0.12/0.40 sQ18_spl <=> (multiply(sk_c8,sk_c9)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f218,plain,(
% 0.12/0.40 ~multiply(sk_c8,sk_c9)=sk_c9|sQ18_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f216])).
% 0.12/0.40 fof(f219,plain,(
% 0.12/0.40 ~sQ18_spl|~sQ4_spl|~sQ17_spl|~sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f211,f216,f109,f187,f105])).
% 0.12/0.40 fof(f227,definition,(
% 0.12/0.40 sQ21_spl <=> (multiply(sk_c8,sk_c8)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f228,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c8)=sk_c9|~sQ21_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f227])).
% 0.12/0.40 fof(f229,plain,(
% 0.12/0.40 ~multiply(sk_c8,sk_c8)=sk_c9|sQ21_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f227])).
% 0.12/0.40 fof(f234,plain,(
% 0.12/0.40 ~sQ5_spl|~sQ7_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f214,f113,f121,f187,f117])).
% 0.12/0.40 fof(f239,definition,(
% 0.12/0.40 sQ23_spl <=> (identity=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f240,plain,(
% 0.12/0.40 identity=sk_c9|~sQ23_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f239])).
% 0.12/0.40 fof(f241,plain,(
% 0.12/0.40 ~identity=sk_c9|sQ23_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f239])).
% 0.12/0.40 fof(f252,plain,(
% 0.12/0.40 ~inverse(sk_c3)=sk_c8|~sQ15_spl|~sQ12_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f182,f166])).
% 0.12/0.40 fof(f253,plain,(
% 0.12/0.40 ~inverse(inverse(sk_c9))=sk_c8|~identity=sk_c8|~sQ15_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f48,f182])).
% 0.12/0.40 fof(f259,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f156,f252])).
% 0.12/0.40 fof(f260,plain,(
% 0.12/0.40 $false|~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f259])).
% 0.12/0.40 fof(f261,plain,(
% 0.12/0.40 ~sQ11_spl|~sQ15_spl|~sQ12_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f260])).
% 0.12/0.40 fof(f262,plain,(
% 0.12/0.40 ~inverse(sk_c2)=sk_c9|~sQ14_spl|~sQ9_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f179,f136])).
% 0.12/0.40 fof(f269,plain,(
% 0.12/0.40 ~sk_c9=sk_c9|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f146,f262])).
% 0.12/0.40 fof(f270,plain,(
% 0.12/0.40 $false|~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f269])).
% 0.12/0.40 fof(f271,plain,(
% 0.12/0.40 ~sQ10_spl|~sQ14_spl|~sQ9_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f270])).
% 0.12/0.40 fof(f276,plain,(
% 0.12/0.40 ~inverse(sk_c4)=sk_c10|~sQ13_spl|~sQ1_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f176,f98])).
% 0.12/0.40 fof(f277,plain,(
% 0.12/0.40 ~inverse(sk_c1)=sk_c10|~sQ13_spl|~sQ0_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f176,f95])).
% 0.12/0.40 fof(f283,plain,(
% 0.12/0.40 ~sk_c10=sk_c10|~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f102,f276])).
% 0.12/0.40 fof(f284,plain,(
% 0.12/0.40 $false|~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f283])).
% 0.12/0.40 fof(f285,plain,(
% 0.12/0.40 ~sQ2_spl|~sQ13_spl|~sQ1_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f284])).
% 0.12/0.40 fof(f286,definition,(
% 0.12/0.40 sQ26_spl <=> (identity=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f288,plain,(
% 0.12/0.40 ~identity=sk_c8|sQ26_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f286])).
% 0.12/0.40 fof(f297,definition,(
% 0.12/0.40 sQ29_spl <=> (sk_c8=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f299,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|sQ29_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f297])).
% 0.12/0.40 fof(f304,plain,(
% 0.12/0.40 $false|sQ29_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f299])).
% 0.12/0.40 fof(f305,plain,(
% 0.12/0.40 sQ29_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f304])).
% 0.12/0.40 fof(f310,plain,(
% 0.12/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c6,X0))|~sQ7_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f202,f49])).
% 0.12/0.40 fof(f311,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c8,multiply(sk_c6,X0))|~sQ7_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f47,f310])).
% 0.12/0.40 fof(f413,plain,(
% 0.12/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f118,f311])).
% 0.12/0.40 fof(f419,plain,(
% 0.12/0.40 sk_c8=sk_c9|~sQ5_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f114,f413])).
% 0.12/0.40 fof(f423,plain,(
% 0.12/0.40 ~inverse(sk_c5)=sk_c8|~sQ16_spl|~sQ3_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f185,f106])).
% 0.12/0.40 fof(f429,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f110,f423])).
% 0.12/0.40 fof(f430,plain,(
% 0.12/0.40 $false|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f429])).
% 0.12/0.40 fof(f431,plain,(
% 0.12/0.40 ~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f430])).
% 0.12/0.40 fof(f432,definition,(
% 0.12/0.40 sQ42_spl <=> (inverse(inverse(sk_c9))=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f435,plain,(
% 0.12/0.40 ~sQ42_spl|~sQ26_spl|~sQ15_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f253,f432,f286,f181])).
% 0.12/0.40 fof(f448,plain,(
% 0.12/0.40 inverse(sk_c5)=sk_c9|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ4_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f419,f110])).
% 0.12/0.40 fof(f449,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c9)=sk_c9|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f419,f106])).
% 0.12/0.40 fof(f468,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c9)=sk_c8|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ15_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f419,f182])).
% 0.12/0.40 fof(f469,plain,(
% 0.12/0.40 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c9)=sk_c9|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ15_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f419,f468])).
% 0.12/0.40 fof(f470,plain,(
% 0.12/0.40 ~inverse(sk_c5)=sk_c9|~sQ15_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f469,f449])).
% 0.12/0.40 fof(f479,plain,(
% 0.12/0.40 ~sk_c9=sk_c9|~sQ4_spl|~sQ15_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f448,f470])).
% 0.12/0.40 fof(f480,plain,(
% 0.12/0.40 $false|~sQ4_spl|~sQ15_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f479])).
% 0.12/0.40 fof(f481,plain,(
% 0.12/0.40 ~sQ4_spl|~sQ15_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f480])).
% 0.12/0.40 fof(f495,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c9)=sk_c9|~inverse(X0)=sk_c9|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ14_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f419,f179])).
% 0.12/0.40 fof(f520,plain,(
% 0.12/0.40 ~inverse(sk_c5)=sk_c9|~sQ14_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f495,f449])).
% 0.12/0.40 fof(f531,plain,(
% 0.12/0.40 ~sk_c9=sk_c9|~sQ4_spl|~sQ14_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f448,f520])).
% 0.12/0.40 fof(f532,plain,(
% 0.12/0.40 $false|~sQ4_spl|~sQ14_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f531])).
% 0.12/0.40 fof(f533,plain,(
% 0.12/0.40 ~sQ4_spl|~sQ14_spl|~sQ5_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f532])).
% 0.12/0.40 fof(f557,plain,(
% 0.12/0.40 sk_c9=multiply(inverse(sk_c3),sk_c8)|~sQ12_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f166,f207])).
% 0.12/0.40 fof(f558,plain,(
% 0.12/0.40 sk_c9=multiply(inverse(sk_c2),sk_c8)|~sQ9_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f136,f207])).
% 0.12/0.40 fof(f568,plain,(
% 0.12/0.40 sk_c9=multiply(sk_c8,sk_c8)|~sQ11_spl|~sQ12_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f156,f557])).
% 0.12/0.40 fof(f569,plain,(
% 0.12/0.40 $false|sQ21_spl|~sQ11_spl|~sQ12_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f568,f229])).
% 0.12/0.40 fof(f570,plain,(
% 0.12/0.40 sQ21_spl|~sQ11_spl|~sQ12_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f569])).
% 0.12/0.40 fof(f571,plain,(
% 0.12/0.40 sk_c9=multiply(sk_c9,sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f146,f558])).
% 0.12/0.40 fof(f647,definition,(
% 0.12/0.40 sQ51_spl <=> (sk_c9=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f649,plain,(
% 0.12/0.40 ~sk_c9=sk_c9|sQ51_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f647])).
% 0.12/0.40 fof(f654,plain,(
% 0.12/0.40 $false|sQ51_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f649])).
% 0.12/0.40 fof(f655,plain,(
% 0.12/0.40 sQ51_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f654])).
% 0.12/0.40 fof(f689,plain,(
% 0.12/0.40 ~sk_c9=sk_c9|~inverse(sk_c9)=sk_c8|~sQ16_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f571,f185])).
% 0.12/0.40 fof(f690,plain,(
% 0.12/0.40 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f571,f207])).
% 0.12/0.40 fof(f694,definition,(
% 0.12/0.40 sQ55_spl <=> (inverse(sk_c9)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f697,plain,(
% 0.12/0.40 ~sQ51_spl|~sQ55_spl|~sQ16_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f689,f647,f694,f184,f145,f135])).
% 0.12/0.40 fof(f698,plain,(
% 0.12/0.40 sk_c8=identity|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f48,f690])).
% 0.12/0.40 fof(f699,plain,(
% 0.12/0.40 $false|sQ26_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f698,f288])).
% 0.12/0.40 fof(f700,plain,(
% 0.12/0.40 sQ26_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f699])).
% 0.12/0.40 fof(f703,plain,(
% 0.12/0.40 multiply(sk_c8,identity)=sk_c9|~sQ10_spl|~sQ9_spl|~sQ21_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f698,f228])).
% 0.12/0.40 fof(f708,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=identity|~sQ10_spl|~sQ9_spl|~sQ16_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f698,f185])).
% 0.12/0.40 fof(f712,plain,(
% 0.12/0.40 multiply(identity,sk_c3)=identity|~sQ10_spl|~sQ9_spl|~sQ11_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f698,f205])).
% 0.12/0.40 fof(f713,plain,(
% 0.12/0.40 ~multiply(identity,sk_c9)=sk_c9|~sQ10_spl|~sQ9_spl|sQ18_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f698,f218])).
% 0.12/0.40 fof(f720,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c9)=identity|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f698,f136])).
% 0.12/0.40 fof(f721,plain,(
% 0.12/0.40 inverse(sk_c3)=identity|~sQ10_spl|~sQ9_spl|~sQ11_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f698,f156])).
% 0.12/0.40 fof(f723,plain,(
% 0.12/0.40 multiply(identity,identity)=sk_c9|~sQ10_spl|~sQ9_spl|~sQ21_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f698,f703])).
% 0.12/0.40 fof(f724,plain,(
% 0.12/0.40 identity=sk_c9|~sQ10_spl|~sQ9_spl|~sQ21_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f47,f723])).
% 0.12/0.40 fof(f725,plain,(
% 0.12/0.40 $false|sQ23_spl|~sQ10_spl|~sQ9_spl|~sQ21_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f724,f241])).
% 0.12/0.40 fof(f726,plain,(
% 0.12/0.40 sQ23_spl|~sQ10_spl|~sQ9_spl|~sQ21_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f725])).
% 0.12/0.40 fof(f730,plain,(
% 0.12/0.40 sk_c3=identity|~sQ10_spl|~sQ9_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f47,f712])).
% 0.12/0.40 fof(f731,plain,(
% 0.12/0.40 ~sk_c9=sk_c9|~sQ10_spl|~sQ9_spl|sQ18_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f47,f713])).
% 0.12/0.40 fof(f732,plain,(
% 0.12/0.40 $false|~sQ10_spl|~sQ9_spl|sQ18_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f731])).
% 0.12/0.40 fof(f733,plain,(
% 0.12/0.40 ~sQ10_spl|~sQ9_spl|sQ18_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f732])).
% 0.12/0.40 fof(f737,plain,(
% 0.12/0.40 ![X0]: (~multiply(identity,multiply(X0,sk_c8))=sk_c9|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ17_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f698,f191])).
% 0.12/0.40 fof(f738,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ17_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f47,f737])).
% 0.12/0.40 fof(f739,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ17_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f698,f738])).
% 0.12/0.40 fof(f740,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=identity|~sQ10_spl|~sQ9_spl|~sQ17_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f698,f739])).
% 0.12/0.40 fof(f783,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=identity|~sQ10_spl|~sQ9_spl|~sQ16_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f698,f708])).
% 0.12/0.40 fof(f790,plain,(
% 0.12/0.41 inverse(sk_c2)=identity|~sQ23_spl|~sQ10_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f240,f146])).
% 0.12/0.41 fof(f800,plain,(
% 0.12/0.41 multiply(sk_c2,identity)=identity|~sQ23_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f240,f720])).
% 0.12/0.41 fof(f805,plain,(
% 0.12/0.41 inverse(identity)=identity|~sQ10_spl|~sQ9_spl|~sQ11_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f730,f721])).
% 0.12/0.41 fof(f809,plain,(
% 0.12/0.41 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~sQ23_spl|~sQ10_spl|~sQ9_spl|~sQ16_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f240,f783])).
% 0.12/0.41 fof(f811,plain,(
% 0.12/0.41 ~inverse(inverse(identity))=identity|~sQ23_spl|~sQ10_spl|~sQ9_spl|~sQ16_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f809,f48])).
% 0.12/0.41 fof(f817,plain,(
% 0.12/0.41 ~inverse(identity)=identity|~sQ11_spl|~sQ23_spl|~sQ10_spl|~sQ9_spl|~sQ16_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f805,f811])).
% 0.12/0.41 fof(f818,plain,(
% 0.12/0.41 ~identity=identity|~sQ11_spl|~sQ23_spl|~sQ10_spl|~sQ9_spl|~sQ16_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f805,f817])).
% 0.12/0.41 fof(f819,plain,(
% 0.12/0.41 $false|~sQ11_spl|~sQ23_spl|~sQ10_spl|~sQ9_spl|~sQ16_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f818])).
% 0.12/0.41 fof(f820,plain,(
% 0.12/0.41 ~sQ11_spl|~sQ23_spl|~sQ10_spl|~sQ9_spl|~sQ16_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f819])).
% 0.12/0.41 fof(f831,plain,(
% 0.12/0.41 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~sQ23_spl|~sQ10_spl|~sQ9_spl|~sQ17_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f240,f740])).
% 0.12/0.41 fof(f853,plain,(
% 0.12/0.41 ~inverse(sk_c2)=identity|~sQ17_spl|~sQ23_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f831,f800])).
% 0.12/0.41 fof(f860,plain,(
% 0.12/0.41 ~identity=identity|~sQ17_spl|~sQ23_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f790,f853])).
% 0.12/0.41 fof(f861,plain,(
% 0.12/0.41 $false|~sQ17_spl|~sQ23_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f860])).
% 0.12/0.41 fof(f862,plain,(
% 0.12/0.41 ~sQ17_spl|~sQ23_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f861])).
% 0.12/0.41 fof(f885,plain,(
% 0.12/0.41 ~sk_c10=sk_c10|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f126,f277])).
% 0.12/0.41 fof(f886,plain,(
% 0.12/0.41 $false|~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f885])).
% 0.12/0.41 fof(f887,plain,(
% 0.12/0.41 ~sQ8_spl|~sQ13_spl|~sQ0_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f886])).
% 0.12/0.41 fof(f888,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 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,f219,f234,f261,f271,f285,f305,f431,f435,f481,f533,f570,f655,f697,f700,f726,f733,f820,f862,f887])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.068520 seconds
% 0.12/0.43 % CPU time: 0.218231 seconds
% 0.12/0.43 % Total memory used: 104.741 MB
% 0.12/0.43 % Net memory used: 104.603 MB
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