%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP218-1 : 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 : n001.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 12:36:16 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP218-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:12:13 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f5,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c10| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c10| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c1) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c6) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f10,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f11,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f12,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f13,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f14,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c9| inverse(sk_c6) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c9| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f16,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c9| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f17,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c9| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f18,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c9| inverse(sk_c7) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f19,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c6) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f20,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f22,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f23,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c7) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f24,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c10) = sk_c9| inverse(sk_c6) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f25,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c10) = sk_c9| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f26,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c10) = sk_c9| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f27,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c10) = sk_c9| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f28,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c3,sk_c10) = sk_c9| inverse(sk_c7) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f29,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c10,sk_c5) = sk_c9| inverse(sk_c6) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c10,sk_c5) = sk_c9| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f31,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c10,sk_c5) = sk_c9| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f32,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c10,sk_c5) = sk_c9| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f33,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c10,sk_c5) = sk_c9| inverse(sk_c7) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f34,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c4,sk_c10) = sk_c5| inverse(sk_c6) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f35,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c4,sk_c10) = sk_c5| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f36,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c4,sk_c10) = sk_c5| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f37,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c4,sk_c10) = sk_c5| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f38,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c4,sk_c10) = sk_c5| inverse(sk_c7) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f39,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c4) = sk_c10| inverse(sk_c6) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f40,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c4) = sk_c10| multiply(sk_c6,sk_c9) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f41,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c4) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f42,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c4) = sk_c10| multiply(sk_c7,sk_c10) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f43,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c4) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f44,negated_conjecture,(
% 0.12/0.39 (![X4,X5,X6,X7,X8,X1,X2,X3]: (( 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(sk_c10,X7) != sk_c9| multiply(X8,sk_c10) != X7| inverse(X8) != sk_c10| inverse(X1) != sk_c10| multiply(X1,sk_c9) != sk_c10| multiply(sk_c10,X2) != sk_c9| multiply(X3,sk_c10) != X2| inverse(X3) != sk_c10 ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f45,plain,(
% 0.12/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39 fof(f46,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f47,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c10|multiply(sk_c6,sk_c9)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.39 fof(f50,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f51,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c10|multiply(sk_c7,sk_c10)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f52,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f53,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c6)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.39 fof(f54,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c6,sk_c9)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.39 fof(f56,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c7,sk_c10)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.39 fof(f57,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f58,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c9|inverse(sk_c6)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.39 fof(f59,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c9|multiply(sk_c6,sk_c9)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.39 fof(f60,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c9|multiply(sk_c10,sk_c8)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f61,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c9|multiply(sk_c7,sk_c10)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.39 fof(f62,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c9|inverse(sk_c7)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.39 fof(f63,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c6)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.39 fof(f64,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c6,sk_c9)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.39 fof(f65,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c10,sk_c8)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.39 fof(f66,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c7,sk_c10)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.39 fof(f67,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c7)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.39 fof(f68,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c10)=sk_c9|inverse(sk_c6)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.39 fof(f69,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c10)=sk_c9|multiply(sk_c6,sk_c9)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f70,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c10)=sk_c9|multiply(sk_c10,sk_c8)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f71,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c10)=sk_c9|multiply(sk_c7,sk_c10)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.39 fof(f72,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c10)=sk_c9|inverse(sk_c7)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.39 fof(f73,plain,(
% 0.12/0.39 multiply(sk_c10,sk_c5)=sk_c9|inverse(sk_c6)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.39 fof(f74,plain,(
% 0.12/0.39 multiply(sk_c10,sk_c5)=sk_c9|multiply(sk_c6,sk_c9)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.39 fof(f75,plain,(
% 0.12/0.39 multiply(sk_c10,sk_c5)=sk_c9|multiply(sk_c10,sk_c8)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.39 fof(f76,plain,(
% 0.12/0.39 multiply(sk_c10,sk_c5)=sk_c9|multiply(sk_c7,sk_c10)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.39 fof(f77,plain,(
% 0.12/0.39 multiply(sk_c10,sk_c5)=sk_c9|inverse(sk_c7)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.39 fof(f78,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c10)=sk_c5|inverse(sk_c6)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.39 fof(f79,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c10)=sk_c5|multiply(sk_c6,sk_c9)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.39 fof(f80,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c10)=sk_c5|multiply(sk_c10,sk_c8)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.39 fof(f81,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c10)=sk_c5|multiply(sk_c7,sk_c10)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.39 fof(f82,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c10)=sk_c5|inverse(sk_c7)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.39 fof(f83,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c10|inverse(sk_c6)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f39])).
% 0.12/0.39 fof(f84,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c10|multiply(sk_c6,sk_c9)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.39 fof(f85,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f41])).
% 0.12/0.39 fof(f86,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c10|multiply(sk_c7,sk_c10)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/0.39 fof(f87,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f43])).
% 0.12/0.39 fof(f88,plain,(
% 0.12/0.39 ![X3]: ((![X2]: (((![X1]: (((![X8]: ((![X7]: (((![X6]: ((![X5]: (((![X4]: (~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(sk_c10,X7)=sk_c9)|~multiply(X8,sk_c10)=X7))|~inverse(X8)=sk_c10))|~inverse(X1)=sk_c10)|~multiply(X1,sk_c9)=sk_c10))|~multiply(sk_c10,X2)=sk_c9)|~multiply(X3,sk_c10)=X2))|~inverse(X3)=sk_c10)),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f44])).
% 0.12/0.39 fof(f89,plain,(
% 0.12/0.39 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~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(sk_c10,X3)=sk_c9|~multiply(X4,sk_c10)=X3|~inverse(X4)=sk_c10|~inverse(X5)=sk_c10|~multiply(X5,sk_c9)=sk_c10|~multiply(sk_c10,X6)=sk_c9|~multiply(X7,sk_c10)=X6|~inverse(X7)=sk_c10)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f88])).
% 0.12/0.39 fof(f90,definition,(
% 0.12/0.39 sQ0_spl <=> (inverse(sk_c1)=sk_c10)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f91,plain,(
% 0.12/0.39 inverse(sk_c1)=sk_c10|~sQ0_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f90])).
% 0.12/0.39 fof(f93,definition,(
% 0.12/0.39 sQ1_spl <=> (inverse(sk_c6)=sk_c10)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 inverse(sk_c6)=sk_c10|~sQ1_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.12/0.39 fof(f96,plain,(
% 0.12/0.39 sQ0_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f48,f90,f93])).
% 0.12/0.39 fof(f97,definition,(
% 0.12/0.39 sQ2_spl <=> (multiply(sk_c6,sk_c9)=sk_c10)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 multiply(sk_c6,sk_c9)=sk_c10|~sQ2_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.12/0.39 fof(f100,plain,(
% 0.12/0.39 sQ0_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f49,f90,f97])).
% 0.12/0.39 fof(f101,definition,(
% 0.12/0.39 sQ3_spl <=> (multiply(sk_c10,sk_c8)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f102,plain,(
% 0.12/0.39 multiply(sk_c10,sk_c8)=sk_c9|~sQ3_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.12/0.39 fof(f104,plain,(
% 0.12/0.39 sQ0_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f50,f90,f101])).
% 0.12/0.39 fof(f105,definition,(
% 0.12/0.39 sQ4_spl <=> (multiply(sk_c7,sk_c10)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 multiply(sk_c7,sk_c10)=sk_c8|~sQ4_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f105])).
% 0.12/0.39 fof(f108,plain,(
% 0.12/0.39 sQ0_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f51,f90,f105])).
% 0.12/0.39 fof(f109,definition,(
% 0.12/0.39 sQ5_spl <=> (inverse(sk_c7)=sk_c10)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f110,plain,(
% 0.12/0.39 inverse(sk_c7)=sk_c10|~sQ5_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 sQ0_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f52,f90,f109])).
% 0.12/0.39 fof(f113,definition,(
% 0.12/0.39 sQ6_spl <=> (multiply(sk_c1,sk_c9)=sk_c10)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f114,plain,(
% 0.12/0.39 multiply(sk_c1,sk_c9)=sk_c10|~sQ6_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f113])).
% 0.12/0.39 fof(f116,plain,(
% 0.12/0.39 sQ6_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f53,f113,f93])).
% 0.12/0.39 fof(f117,plain,(
% 0.12/0.39 sQ6_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f54,f113,f97])).
% 0.12/0.39 fof(f118,plain,(
% 0.12/0.39 sQ6_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f55,f113,f101])).
% 0.12/0.39 fof(f119,plain,(
% 0.12/0.39 sQ6_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f56,f113,f105])).
% 0.12/0.39 fof(f120,plain,(
% 0.12/0.39 sQ6_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f57,f113,f109])).
% 0.12/0.39 fof(f121,definition,(
% 0.12/0.39 sQ7_spl <=> (multiply(sk_c2,sk_c3)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f122,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c9|~sQ7_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f121])).
% 0.12/0.39 fof(f124,plain,(
% 0.12/0.39 sQ7_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f58,f121,f93])).
% 0.12/0.39 fof(f125,plain,(
% 0.12/0.39 sQ7_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f59,f121,f97])).
% 0.12/0.39 fof(f126,plain,(
% 0.12/0.39 sQ7_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f60,f121,f101])).
% 0.12/0.39 fof(f127,plain,(
% 0.12/0.39 sQ7_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f61,f121,f105])).
% 0.12/0.39 fof(f128,plain,(
% 0.12/0.39 sQ7_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f62,f121,f109])).
% 0.12/0.39 fof(f129,definition,(
% 0.12/0.39 sQ8_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f130,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|~sQ8_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f129])).
% 0.12/0.39 fof(f132,plain,(
% 0.12/0.39 sQ8_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f63,f129,f93])).
% 0.12/0.39 fof(f133,plain,(
% 0.12/0.39 sQ8_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f64,f129,f97])).
% 0.12/0.39 fof(f134,plain,(
% 0.12/0.39 sQ8_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f65,f129,f101])).
% 0.12/0.39 fof(f135,plain,(
% 0.12/0.39 sQ8_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f66,f129,f105])).
% 0.12/0.39 fof(f136,plain,(
% 0.12/0.39 sQ8_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f67,f129,f109])).
% 0.12/0.39 fof(f137,definition,(
% 0.12/0.39 sQ9_spl <=> (multiply(sk_c3,sk_c10)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f138,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c10)=sk_c9|~sQ9_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f137])).
% 0.12/0.39 fof(f140,plain,(
% 0.12/0.39 sQ9_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f68,f137,f93])).
% 0.12/0.39 fof(f141,plain,(
% 0.12/0.39 sQ9_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f69,f137,f97])).
% 0.12/0.39 fof(f142,plain,(
% 0.12/0.39 sQ9_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f70,f137,f101])).
% 0.12/0.39 fof(f143,plain,(
% 0.12/0.39 sQ9_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f71,f137,f105])).
% 0.12/0.39 fof(f144,plain,(
% 0.12/0.39 sQ9_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f72,f137,f109])).
% 0.12/0.39 fof(f145,definition,(
% 0.12/0.39 sQ10_spl <=> (multiply(sk_c10,sk_c5)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f146,plain,(
% 0.12/0.39 multiply(sk_c10,sk_c5)=sk_c9|~sQ10_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f145])).
% 0.12/0.39 fof(f148,plain,(
% 0.12/0.39 sQ10_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f73,f145,f93])).
% 0.12/0.39 fof(f149,plain,(
% 0.12/0.39 sQ10_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f74,f145,f97])).
% 0.12/0.39 fof(f150,plain,(
% 0.12/0.39 sQ10_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f75,f145,f101])).
% 0.12/0.39 fof(f151,plain,(
% 0.12/0.39 sQ10_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f76,f145,f105])).
% 0.12/0.39 fof(f152,plain,(
% 0.12/0.39 sQ10_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f77,f145,f109])).
% 0.12/0.39 fof(f153,definition,(
% 0.12/0.39 sQ11_spl <=> (multiply(sk_c4,sk_c10)=sk_c5)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f154,plain,(
% 0.12/0.39 multiply(sk_c4,sk_c10)=sk_c5|~sQ11_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f153])).
% 0.12/0.39 fof(f156,plain,(
% 0.12/0.39 sQ11_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f78,f153,f93])).
% 0.12/0.39 fof(f157,plain,(
% 0.12/0.39 sQ11_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f79,f153,f97])).
% 0.12/0.39 fof(f158,plain,(
% 0.12/0.39 sQ11_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f80,f153,f101])).
% 0.12/0.39 fof(f159,plain,(
% 0.12/0.39 sQ11_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f81,f153,f105])).
% 0.12/0.39 fof(f160,plain,(
% 0.12/0.39 sQ11_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f82,f153,f109])).
% 0.12/0.39 fof(f161,definition,(
% 0.12/0.39 sQ12_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f162,plain,(
% 0.12/0.39 inverse(sk_c4)=sk_c10|~sQ12_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f161])).
% 0.12/0.39 fof(f164,plain,(
% 0.12/0.39 sQ12_spl|sQ1_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f83,f161,f93])).
% 0.12/0.39 fof(f165,plain,(
% 0.12/0.39 sQ12_spl|sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f84,f161,f97])).
% 0.12/0.39 fof(f166,plain,(
% 0.12/0.39 sQ12_spl|sQ3_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f85,f161,f101])).
% 0.12/0.39 fof(f167,plain,(
% 0.12/0.39 sQ12_spl|sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f86,f161,f105])).
% 0.12/0.39 fof(f168,plain,(
% 0.12/0.39 sQ12_spl|sQ5_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f87,f161,f109])).
% 0.12/0.39 fof(f169,definition,(
% 0.12/0.39 ![X0]: (sQ13_spl <=> (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f170,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~sQ13_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f169])).
% 0.12/0.39 fof(f172,definition,(
% 0.12/0.39 ![X1,X2]: (sQ14_spl <=> (~multiply(X1,X2)=sk_c9|~inverse(X1)=X2|~multiply(X2,sk_c10)=sk_c9))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f173,plain,(
% 0.12/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c9|~sQ14_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f172])).
% 0.12/0.39 fof(f175,definition,(
% 0.12/0.39 ![X3,X4]: (sQ15_spl <=> (~multiply(sk_c10,X3)=sk_c9|~multiply(X4,sk_c10)=X3|~inverse(X4)=sk_c10))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f176,plain,(
% 0.12/0.39 ![X0,X1]: (~multiply(sk_c10,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~sQ15_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f175])).
% 0.12/0.39 fof(f178,plain,(
% 0.12/0.39 sQ13_spl|sQ14_spl|sQ15_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f89,f169,f172,f175])).
% 0.12/0.39 fof(f179,plain,(
% 0.12/0.39 ![X0]: (~multiply(sk_c10,multiply(X0,sk_c10))=sk_c9|~inverse(X0)=sk_c10|~sQ15_spl)),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f176])).
% 0.12/0.39 fof(f200,plain,(
% 0.12/0.39 ~multiply(sk_c10,sk_c5)=sk_c9|~inverse(sk_c4)=sk_c10|~sQ15_spl|~sQ11_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f154,f179])).
% 0.12/0.39 fof(f201,plain,(
% 0.12/0.39 ~multiply(sk_c10,sk_c8)=sk_c9|~inverse(sk_c7)=sk_c10|~sQ15_spl|~sQ4_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f106,f179])).
% 0.12/0.39 fof(f209,plain,(
% 0.12/0.39 ~sQ10_spl|~sQ12_spl|~sQ15_spl|~sQ11_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f200,f145,f161,f175,f153])).
% 0.12/0.39 fof(f210,plain,(
% 0.12/0.39 ~sQ3_spl|~sQ5_spl|~sQ15_spl|~sQ4_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f201,f101,f109,f175,f105])).
% 0.12/0.39 fof(f211,plain,(
% 0.12/0.39 ~inverse(sk_c1)=sk_c10|~sQ13_spl|~sQ6_spl),
% 0.12/0.39 inference(resolution,[status(thm)],[f170,f114])).
% 0.12/0.39 fof(f214,plain,(
% 0.12/0.39 ~sk_c10=sk_c10|~sQ0_spl|~sQ13_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f91,f211])).
% 0.12/0.39 fof(f215,plain,(
% 0.12/0.39 $false|~sQ0_spl|~sQ13_spl|~sQ6_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f214])).
% 0.12/0.39 fof(f216,plain,(
% 0.12/0.39 ~sQ0_spl|~sQ13_spl|~sQ6_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f215])).
% 0.12/0.39 fof(f217,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c10)=sk_c9|~sQ14_spl)),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f173])).
% 0.12/0.39 fof(f223,plain,(
% 0.12/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f46,f47])).
% 0.12/0.39 fof(f224,plain,(
% 0.12/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f45,f223])).
% 0.12/0.39 fof(f240,plain,(
% 0.12/0.39 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f45,f224])).
% 0.12/0.39 fof(f243,plain,(
% 0.12/0.39 sk_c9=multiply(inverse(sk_c1),sk_c10)|~sQ6_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f114,f224])).
% 0.12/0.39 fof(f248,plain,(
% 0.12/0.39 sk_c10=multiply(inverse(sk_c4),sk_c5)|~sQ11_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f154,f224])).
% 0.12/0.39 fof(f253,plain,(
% 0.12/0.39 sk_c10=multiply(inverse(sk_c7),sk_c8)|~sQ4_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f106,f224])).
% 0.12/0.39 fof(f256,plain,(
% 0.12/0.39 sk_c9=multiply(sk_c10,sk_c10)|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f91,f243])).
% 0.12/0.39 fof(f259,plain,(
% 0.12/0.39 sk_c10=multiply(sk_c10,sk_c5)|~sQ12_spl|~sQ11_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f162,f248])).
% 0.12/0.39 fof(f260,plain,(
% 0.12/0.39 sk_c10=sk_c9|~sQ10_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f146,f259])).
% 0.12/0.39 fof(f261,plain,(
% 0.12/0.39 sk_c10=multiply(sk_c10,sk_c8)|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f110,f253])).
% 0.12/0.39 fof(f288,plain,(
% 0.12/0.39 sk_c9=multiply(sk_c9,sk_c10)|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f260,f256])).
% 0.12/0.39 fof(f289,plain,(
% 0.12/0.39 sk_c9=multiply(sk_c9,sk_c9)|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f260,f288])).
% 0.12/0.39 fof(f290,plain,(
% 0.12/0.39 sk_c9=multiply(inverse(sk_c9),sk_c9)|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f289,f224])).
% 0.12/0.39 fof(f292,plain,(
% 0.12/0.39 sk_c9=identity|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ6_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f46,f290])).
% 0.12/0.39 fof(f296,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c9,X0)=X0|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ6_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f292,f45])).
% 0.12/0.39 fof(f297,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c9)=sk_c9|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f260,f217])).
% 0.12/0.39 fof(f301,plain,(
% 0.12/0.39 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|~multiply(sk_c3,sk_c9)=sk_c9|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl|~sQ8_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f130,f297])).
% 0.12/0.39 fof(f317,definition,(
% 0.12/0.39 sQ22_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f319,plain,(
% 0.12/0.39 ~multiply(sk_c2,inverse(sk_c2))=sk_c9|sQ22_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f317])).
% 0.12/0.39 fof(f320,definition,(
% 0.12/0.39 sQ23_spl <=> (multiply(sk_c3,sk_c9)=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f322,plain,(
% 0.12/0.39 ~multiply(sk_c3,sk_c9)=sk_c9|sQ23_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f320])).
% 0.12/0.39 fof(f323,plain,(
% 0.12/0.39 ~sQ22_spl|~sQ23_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl|~sQ8_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f301,f317,f320,f145,f161,f153,f172,f129])).
% 0.12/0.39 fof(f327,plain,(
% 0.12/0.39 ~multiply(sk_c2,sk_c3)=sk_c9|~sQ8_spl|sQ22_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f130,f319])).
% 0.12/0.39 fof(f328,plain,(
% 0.12/0.39 ~sk_c9=sk_c9|~sQ7_spl|~sQ8_spl|sQ22_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f122,f327])).
% 0.12/0.39 fof(f329,plain,(
% 0.12/0.39 $false|~sQ7_spl|~sQ8_spl|sQ22_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f328])).
% 0.12/0.39 fof(f330,plain,(
% 0.12/0.39 ~sQ7_spl|~sQ8_spl|sQ22_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f329])).
% 0.12/0.39 fof(f351,plain,(
% 0.12/0.39 sk_c9=multiply(inverse(sk_c6),sk_c10)|~sQ2_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f98,f224])).
% 0.12/0.39 fof(f353,plain,(
% 0.12/0.39 sk_c9=multiply(sk_c10,sk_c10)|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f94,f351])).
% 0.12/0.39 fof(f357,plain,(
% 0.12/0.39 multiply(sk_c9,sk_c8)=sk_c9|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f364,f102])).
% 0.12/0.39 fof(f364,plain,(
% 0.12/0.39 sk_c10=sk_c9|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f102,f261])).
% 0.12/0.39 fof(f366,plain,(
% 0.12/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c9)=sk_c9|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ14_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f364,f217])).
% 0.12/0.39 fof(f383,plain,(
% 0.12/0.39 ~multiply(identity,inverse(identity))=sk_c9|~sk_c9=sk_c9|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ14_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f240,f366])).
% 0.12/0.39 fof(f388,definition,(
% 0.12/0.39 sQ25_spl <=> (multiply(identity,inverse(identity))=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f390,plain,(
% 0.12/0.39 ~multiply(identity,inverse(identity))=sk_c9|sQ25_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f388])).
% 0.12/0.39 fof(f391,definition,(
% 0.12/0.39 sQ26_spl <=> (sk_c9=sk_c9)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f393,plain,(
% 0.12/0.39 ~sk_c9=sk_c9|sQ26_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f391])).
% 0.12/0.39 fof(f394,plain,(
% 0.12/0.39 ~sQ25_spl|~sQ26_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ14_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f383,f388,f391,f101,f109,f105,f172])).
% 0.12/0.39 fof(f395,plain,(
% 0.12/0.39 ~inverse(identity)=sk_c9|sQ25_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f45,f390])).
% 0.12/0.39 fof(f396,plain,(
% 0.12/0.39 $false|sQ26_spl),
% 0.12/0.39 inference(trivial_equality_resolution,[status(thm)],[f393])).
% 0.12/0.39 fof(f397,plain,(
% 0.12/0.39 sQ26_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f396])).
% 0.12/0.39 fof(f431,plain,(
% 0.12/0.39 sk_c9=multiply(sk_c9,sk_c10)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f364,f353])).
% 0.12/0.39 fof(f432,plain,(
% 0.12/0.39 sk_c9=multiply(sk_c9,sk_c9)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f364,f431])).
% 0.12/0.39 fof(f433,plain,(
% 0.12/0.39 sk_c9=multiply(inverse(sk_c9),sk_c9)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f432,f224])).
% 0.12/0.39 fof(f435,plain,(
% 0.12/0.39 sk_c9=identity|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f46,f433])).
% 0.12/0.39 fof(f438,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c9)=sk_c10|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ13_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f364,f170])).
% 0.12/0.39 fof(f439,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c9)=sk_c9|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ13_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f364,f438])).
% 0.12/0.39 fof(f445,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c9,X0)=X0|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f435,f45])).
% 0.12/0.39 fof(f446,plain,(
% 0.12/0.39 ~inverse(sk_c9)=sk_c9|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ25_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f435,f395])).
% 0.12/0.39 fof(f452,plain,(
% 0.12/0.39 sk_c8=sk_c9|~sQ1_spl|~sQ2_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f445,f357])).
% 0.12/0.39 fof(f456,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c8,X0)=X0|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f452,f445])).
% 0.12/0.39 fof(f459,plain,(
% 0.12/0.39 ~inverse(sk_c9)=sk_c8|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ25_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f452,f446])).
% 0.12/0.39 fof(f460,plain,(
% 0.12/0.39 sk_c8=identity|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f452,f435])).
% 0.12/0.39 fof(f466,plain,(
% 0.12/0.39 sk_c10=sk_c8|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f452,f364])).
% 0.12/0.39 fof(f471,plain,(
% 0.12/0.39 ~inverse(sk_c8)=sk_c8|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl|sQ25_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f452,f459])).
% 0.12/0.39 fof(f475,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c9)=sk_c9|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ13_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f452,f439])).
% 0.12/0.39 fof(f476,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c9|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ13_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f452,f475])).
% 0.12/0.39 fof(f477,plain,(
% 0.12/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c8|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ13_spl)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f452,f476])).
% 0.12/0.39 fof(f479,plain,(
% 0.12/0.39 ~inverse(sk_c8)=sk_c8|~sk_c8=sk_c8|~sQ13_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f456,f477])).
% 0.12/0.39 fof(f481,definition,(
% 0.12/0.39 sQ29_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f483,plain,(
% 0.12/0.39 ~inverse(sk_c8)=sk_c8|sQ29_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f481])).
% 0.12/0.39 fof(f484,definition,(
% 0.12/0.39 sQ30_spl <=> (sk_c8=sk_c8)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f486,plain,(
% 0.12/0.39 ~sk_c8=sk_c8|sQ30_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f484])).
% 0.12/0.39 fof(f487,plain,(
% 0.12/0.39 ~sQ29_spl|~sQ30_spl|~sQ13_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f479,f481,f484,f169,f101,f109,f105,f93,f97])).
% 0.12/0.39 fof(f508,plain,(
% 0.12/0.39 multiply(sk_c3,sk_c9)=sk_c9|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f260,f138])).
% 0.12/0.39 fof(f510,plain,(
% 0.12/0.39 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c3,multiply(sk_c9,X0))|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f508,f47])).
% 0.12/0.40 fof(f511,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c3,multiply(sk_c9,X0))|~sQ0_spl|~sQ6_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f296,f510])).
% 0.12/0.40 fof(f512,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c3,X0)|~sQ0_spl|~sQ6_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f296,f511])).
% 0.12/0.40 fof(f529,plain,(
% 0.12/0.40 $false|sQ30_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f486])).
% 0.12/0.40 fof(f530,plain,(
% 0.12/0.40 sQ30_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f529])).
% 0.12/0.40 fof(f535,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f460,f45])).
% 0.12/0.40 fof(f538,plain,(
% 0.12/0.40 inverse(sk_c6)=sk_c8|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f466,f94])).
% 0.12/0.40 fof(f545,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f460,f46])).
% 0.12/0.40 fof(f546,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c6)=sk_c8|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f538,f545])).
% 0.12/0.40 fof(f549,plain,(
% 0.12/0.40 sk_c6=sk_c8|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f535,f546])).
% 0.12/0.40 fof(f556,plain,(
% 0.12/0.40 inverse(sk_c8)=sk_c8|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f549,f538])).
% 0.12/0.40 fof(f557,plain,(
% 0.12/0.40 $false|sQ25_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f556,f471])).
% 0.12/0.40 fof(f558,plain,(
% 0.12/0.40 sQ25_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f557])).
% 0.12/0.40 fof(f603,plain,(
% 0.12/0.40 ~sk_c9=sk_c9|~sQ0_spl|~sQ6_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|sQ23_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f512,f322])).
% 0.12/0.40 fof(f604,plain,(
% 0.12/0.40 $false|~sQ0_spl|~sQ6_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|sQ23_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f603])).
% 0.12/0.40 fof(f605,plain,(
% 0.12/0.40 ~sQ0_spl|~sQ6_spl|~sQ10_spl|~sQ12_spl|~sQ11_spl|~sQ9_spl|sQ23_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f604])).
% 0.12/0.40 fof(f622,plain,(
% 0.12/0.40 inverse(sk_c8)=sk_c10|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f549,f94])).
% 0.12/0.40 fof(f623,plain,(
% 0.12/0.40 inverse(sk_c8)=sk_c8|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f466,f622])).
% 0.12/0.40 fof(f624,plain,(
% 0.12/0.40 $false|sQ29_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f623,f483])).
% 0.12/0.40 fof(f625,plain,(
% 0.12/0.40 sQ29_spl|~sQ2_spl|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f624])).
% 0.12/0.40 fof(f626,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f96,f100,f104,f108,f112,f116,f117,f118,f119,f120,f124,f125,f126,f127,f128,f132,f133,f134,f135,f136,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f156,f157,f158,f159,f160,f164,f165,f166,f167,f168,f178,f209,f210,f216,f323,f330,f394,f397,f487,f530,f558,f605,f625])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.061874 seconds
% 0.12/0.42 % CPU time: 0.186133 seconds
% 0.12/0.42 % Total memory used: 30.481 MB
% 0.12/0.42 % Net memory used: 30.435 MB
%------------------------------------------------------------------------------