%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP293-1 : 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 : n010.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 12:36:24 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP293-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.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 20:08:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f2,axiom,(
% 0.10/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f5,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f6,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f7,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f8,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f9,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f10,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f11,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f12,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f13,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f14,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f15,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f16,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f17,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f18,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f19,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f20,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f21,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f22,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f23,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f24,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f25,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f26,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f27,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c8,sk_c6) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f28,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f29,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f30,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f31,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f32,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f33,negated_conjecture,(
% 0.10/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f34,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f35,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f36,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f37,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f38,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f39,negated_conjecture,(
% 0.10/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f40,negated_conjecture,(
% 0.10/0.41 (![X3,X4,X1,X2,X5]: (( multiply(sk_c8,sk_c7) != sk_c6| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(sk_c8,sk_c6) != sk_c7| multiply(X4,sk_c8) != sk_c6| inverse(X4) != sk_c8| multiply(sk_c7,sk_c8) != sk_c6| multiply(X1,sk_c7) != sk_c8| inverse(X1) != sk_c7| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.10/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f41,plain,(
% 0.10/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.41 fof(f42,plain,(
% 0.10/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.41 fof(f43,plain,(
% 0.10/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.41 fof(f44,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.41 fof(f45,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.41 fof(f46,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.41 fof(f47,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.41 fof(f48,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.41 fof(f49,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.41 fof(f50,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.41 fof(f51,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.41 fof(f52,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.41 fof(f53,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.41 fof(f54,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.41 fof(f55,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.41 fof(f56,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.41 fof(f57,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.10/0.41 fof(f58,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.41 fof(f59,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.41 fof(f60,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.41 fof(f61,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.41 fof(f62,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c7,sk_c8)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/0.41 fof(f63,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.41 fof(f64,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.41 fof(f65,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.41 fof(f66,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.41 fof(f67,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c6)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.41 fof(f68,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c7,sk_c8)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.41 fof(f69,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.41 fof(f70,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.41 fof(f71,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.41 fof(f72,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.41 fof(f73,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.41 fof(f74,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c7,sk_c8)=sk_c6),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.41 fof(f75,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.10/0.41 fof(f76,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.10/0.41 fof(f77,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.10/0.41 fof(f78,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.10/0.41 fof(f79,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.41 fof(f80,plain,(
% 0.10/0.41 ![X5]: ((![X2]: (((![X1]: ((((![X4]: ((((![X3]: ((~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(sk_c8,sk_c6)=sk_c7)|~multiply(X4,sk_c8)=sk_c6)|~inverse(X4)=sk_c8))|~multiply(sk_c7,sk_c8)=sk_c6)|~multiply(X1,sk_c7)=sk_c8)|~inverse(X1)=sk_c7))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.10/0.41 inference(miniscoping,[status(thm)],[f40])).
% 0.10/0.41 fof(f81,plain,(
% 0.10/0.41 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(sk_c8,sk_c6)=sk_c7|~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=sk_c8|~multiply(sk_c7,sk_c8)=sk_c6|~multiply(X2,sk_c7)=sk_c8|~inverse(X2)=sk_c7|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.10/0.41 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.41 fof(f82,definition,(
% 0.10/0.41 sQ0_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f83,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c7)=sk_c6|~sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f82])).
% 0.10/0.41 fof(f84,plain,(
% 0.10/0.41 ~multiply(sk_c8,sk_c7)=sk_c6|sQ0_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f82])).
% 0.10/0.41 fof(f85,definition,(
% 0.10/0.41 sQ1_spl <=> (multiply(sk_c7,sk_c8)=sk_c6)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f86,plain,(
% 0.10/0.41 multiply(sk_c7,sk_c8)=sk_c6|~sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.41 fof(f87,plain,(
% 0.10/0.41 ~multiply(sk_c7,sk_c8)=sk_c6|sQ1_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.41 fof(f88,plain,(
% 0.10/0.41 sQ0_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.10/0.41 fof(f89,definition,(
% 0.10/0.41 sQ2_spl <=> (multiply(sk_c3,sk_c7)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f90,plain,(
% 0.10/0.41 multiply(sk_c3,sk_c7)=sk_c8|~sQ2_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.10/0.41 fof(f92,plain,(
% 0.10/0.41 sQ0_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.10/0.41 fof(f93,definition,(
% 0.10/0.41 sQ3_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f94,plain,(
% 0.10/0.41 inverse(sk_c3)=sk_c7|~sQ3_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.10/0.41 fof(f96,plain,(
% 0.10/0.41 sQ0_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.10/0.41 fof(f97,definition,(
% 0.10/0.41 sQ4_spl <=> (multiply(sk_c8,sk_c5)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f98,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c5)=sk_c7|~sQ4_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.41 fof(f100,plain,(
% 0.10/0.41 sQ0_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.10/0.41 fof(f101,definition,(
% 0.10/0.41 sQ5_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f102,plain,(
% 0.10/0.41 multiply(sk_c4,sk_c8)=sk_c5|~sQ5_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f101])).
% 0.10/0.41 fof(f104,plain,(
% 0.10/0.41 sQ0_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.10/0.41 fof(f105,definition,(
% 0.10/0.41 sQ6_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f106,plain,(
% 0.10/0.41 inverse(sk_c4)=sk_c8|~sQ6_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f105])).
% 0.10/0.41 fof(f108,plain,(
% 0.10/0.41 sQ0_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.10/0.41 fof(f109,definition,(
% 0.10/0.41 sQ7_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f110,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c8)=sk_c7|~sQ7_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.10/0.41 fof(f112,plain,(
% 0.10/0.41 sQ7_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.10/0.41 fof(f113,plain,(
% 0.10/0.41 sQ7_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.10/0.41 fof(f114,plain,(
% 0.10/0.41 sQ7_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.10/0.41 fof(f115,plain,(
% 0.10/0.41 sQ7_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.10/0.41 fof(f116,plain,(
% 0.10/0.41 sQ7_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.10/0.41 fof(f117,plain,(
% 0.10/0.41 sQ7_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.10/0.41 fof(f118,definition,(
% 0.10/0.41 sQ8_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f119,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c8|~sQ8_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.10/0.41 fof(f121,plain,(
% 0.10/0.41 sQ8_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.10/0.41 fof(f122,plain,(
% 0.10/0.41 sQ8_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.10/0.41 fof(f123,plain,(
% 0.10/0.41 sQ8_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.10/0.41 fof(f124,plain,(
% 0.10/0.41 sQ8_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.10/0.41 fof(f125,plain,(
% 0.10/0.41 sQ8_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.10/0.41 fof(f126,plain,(
% 0.10/0.41 sQ8_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.10/0.41 fof(f127,definition,(
% 0.10/0.41 sQ9_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f128,plain,(
% 0.10/0.41 multiply(sk_c8,sk_c6)=sk_c7|~sQ9_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f127])).
% 0.10/0.41 fof(f129,plain,(
% 0.10/0.41 ~multiply(sk_c8,sk_c6)=sk_c7|sQ9_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f127])).
% 0.10/0.41 fof(f130,plain,(
% 0.10/0.41 sQ9_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.10/0.41 fof(f131,plain,(
% 0.10/0.41 sQ9_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.10/0.41 fof(f132,plain,(
% 0.10/0.41 sQ9_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.10/0.41 fof(f133,plain,(
% 0.10/0.41 sQ9_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.10/0.41 fof(f134,plain,(
% 0.10/0.41 sQ9_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.10/0.41 fof(f135,plain,(
% 0.10/0.41 sQ9_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.10/0.41 fof(f136,definition,(
% 0.10/0.41 sQ10_spl <=> (multiply(sk_c2,sk_c8)=sk_c6)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f137,plain,(
% 0.10/0.41 multiply(sk_c2,sk_c8)=sk_c6|~sQ10_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.10/0.41 fof(f139,plain,(
% 0.10/0.41 sQ10_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.10/0.41 fof(f140,plain,(
% 0.10/0.41 sQ10_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.10/0.41 fof(f141,plain,(
% 0.10/0.41 sQ10_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.10/0.41 fof(f142,plain,(
% 0.10/0.41 sQ10_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.10/0.41 fof(f143,plain,(
% 0.10/0.41 sQ10_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.10/0.41 fof(f144,plain,(
% 0.10/0.41 sQ10_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.10/0.41 fof(f145,definition,(
% 0.10/0.41 sQ11_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f146,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c8|~sQ11_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f145])).
% 0.10/0.41 fof(f148,plain,(
% 0.10/0.41 sQ11_spl|sQ1_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.10/0.41 fof(f149,plain,(
% 0.10/0.41 sQ11_spl|sQ2_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.10/0.41 fof(f150,plain,(
% 0.10/0.41 sQ11_spl|sQ3_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.10/0.41 fof(f151,plain,(
% 0.10/0.41 sQ11_spl|sQ4_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.10/0.41 fof(f152,plain,(
% 0.10/0.41 sQ11_spl|sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.10/0.41 fof(f153,plain,(
% 0.10/0.41 sQ11_spl|sQ6_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.10/0.41 fof(f154,definition,(
% 0.10/0.41 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f155,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f154])).
% 0.10/0.41 fof(f157,definition,(
% 0.10/0.41 ![X1]: (sQ13_spl <=> (~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=sk_c8))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f158,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f157])).
% 0.10/0.41 fof(f160,definition,(
% 0.10/0.41 ![X2]: (sQ14_spl <=> (~multiply(X2,sk_c7)=sk_c8|~inverse(X2)=sk_c7))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f161,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~sQ14_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f160])).
% 0.10/0.41 fof(f163,definition,(
% 0.10/0.41 ![X3,X4]: (sQ15_spl <=> (~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8))),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f164,plain,(
% 0.10/0.41 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ15_spl)),
% 0.10/0.41 inference(component_clause,[status(thm)],[f163])).
% 0.10/0.41 fof(f166,plain,(
% 0.10/0.41 ~sQ0_spl|sQ12_spl|~sQ9_spl|sQ13_spl|~sQ1_spl|sQ14_spl|sQ15_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f81,f82,f154,f127,f157,f85,f160,f163])).
% 0.10/0.41 fof(f167,plain,(
% 0.10/0.41 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ15_spl)),
% 0.10/0.41 inference(destructive_equality_resolution,[status(thm)],[f164])).
% 0.10/0.41 fof(f192,plain,(
% 0.10/0.41 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ15_spl|~sQ5_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f102,f167])).
% 0.10/0.41 fof(f193,plain,(
% 0.10/0.41 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c2)=sk_c8|~sQ15_spl|~sQ10_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f137,f167])).
% 0.10/0.41 fof(f198,plain,(
% 0.10/0.41 ~sQ4_spl|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f192,f97,f105,f163,f101])).
% 0.10/0.41 fof(f199,plain,(
% 0.10/0.41 ~sQ9_spl|~sQ11_spl|~sQ15_spl|~sQ10_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f193,f127,f145,f163,f136])).
% 0.10/0.41 fof(f205,plain,(
% 0.10/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.10/0.41 fof(f206,plain,(
% 0.10/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f41,f205])).
% 0.10/0.41 fof(f220,plain,(
% 0.10/0.41 sk_c8=multiply(inverse(sk_c7),sk_c6)|~sQ1_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f86,f206])).
% 0.10/0.41 fof(f222,plain,(
% 0.10/0.41 sk_c7=multiply(inverse(sk_c3),sk_c8)|~sQ2_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f90,f206])).
% 0.10/0.41 fof(f226,plain,(
% 0.10/0.41 sk_c8=multiply(inverse(sk_c4),sk_c5)|~sQ5_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f102,f206])).
% 0.10/0.41 fof(f227,plain,(
% 0.10/0.41 sk_c8=multiply(inverse(sk_c2),sk_c6)|~sQ10_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f137,f206])).
% 0.10/0.41 fof(f229,plain,(
% 0.10/0.41 sk_c7=multiply(sk_c7,sk_c8)|~sQ3_spl|~sQ2_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f94,f222])).
% 0.10/0.41 fof(f230,plain,(
% 0.10/0.41 sk_c7=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f86,f229])).
% 0.10/0.41 fof(f231,plain,(
% 0.10/0.41 sk_c8=multiply(sk_c8,sk_c5)|~sQ6_spl|~sQ5_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f106,f226])).
% 0.10/0.41 fof(f232,plain,(
% 0.10/0.41 sk_c8=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f98,f231])).
% 0.10/0.41 fof(f233,plain,(
% 0.10/0.41 sk_c8=multiply(sk_c8,sk_c6)|~sQ11_spl|~sQ10_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f146,f227])).
% 0.10/0.41 fof(f236,plain,(
% 0.10/0.41 ~multiply(sk_c8,sk_c6)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f230,f129])).
% 0.10/0.41 fof(f246,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f247,f146])).
% 0.10/0.41 fof(f247,plain,(
% 0.10/0.41 sk_c8=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f230,f232])).
% 0.10/0.41 fof(f260,plain,(
% 0.10/0.41 sk_c6=multiply(sk_c8,sk_c6)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f247,f233])).
% 0.10/0.41 fof(f261,plain,(
% 0.10/0.41 sk_c6=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f247,f260])).
% 0.10/0.41 fof(f262,plain,(
% 0.10/0.41 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f261,f206])).
% 0.10/0.41 fof(f264,plain,(
% 0.10/0.41 sk_c6=identity|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f42,f262])).
% 0.10/0.41 fof(f268,plain,(
% 0.10/0.41 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f247,f236])).
% 0.10/0.41 fof(f278,plain,(
% 0.10/0.41 ~sk_c6=sk_c8|~inverse(sk_c8)=sk_c7|~sQ14_spl|~sQ0_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f83,f161])).
% 0.10/0.41 fof(f281,definition,(
% 0.10/0.41 sQ17_spl <=> (sk_c6=sk_c8)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f283,plain,(
% 0.10/0.41 ~sk_c6=sk_c8|sQ17_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f281])).
% 0.10/0.41 fof(f284,definition,(
% 0.10/0.41 sQ18_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f286,plain,(
% 0.10/0.41 ~inverse(sk_c8)=sk_c7|sQ18_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f284])).
% 0.10/0.41 fof(f287,plain,(
% 0.10/0.41 ~sQ17_spl|~sQ18_spl|~sQ14_spl|~sQ0_spl),
% 0.10/0.41 inference(split_clause,[status(thm)],[f278,f281,f284,f160,f82])).
% 0.10/0.41 fof(f288,plain,(
% 0.10/0.41 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ7_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f110,f206])).
% 0.10/0.41 fof(f290,plain,(
% 0.10/0.41 sk_c8=multiply(sk_c8,sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f119,f288])).
% 0.10/0.41 fof(f291,plain,(
% 0.10/0.41 sk_c8=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f83,f290])).
% 0.10/0.41 fof(f292,plain,(
% 0.10/0.41 $false|sQ17_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f291,f283])).
% 0.10/0.41 fof(f293,plain,(
% 0.10/0.41 sQ17_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f292])).
% 0.10/0.41 fof(f299,plain,(
% 0.10/0.41 ~inverse(sk_c6)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ18_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f247,f286])).
% 0.10/0.41 fof(f300,plain,(
% 0.10/0.41 ~inverse(sk_c6)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ18_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f230,f299])).
% 0.10/0.41 fof(f331,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl|~sQ10_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f264,f41])).
% 0.10/0.41 fof(f341,plain,(
% 0.10/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl|~sQ10_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f264,f42])).
% 0.10/0.41 fof(f343,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c2)=sk_c6|~sQ10_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f246,f341])).
% 0.10/0.41 fof(f349,plain,(
% 0.10/0.41 sk_c2=sk_c6|~sQ10_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f331,f343])).
% 0.10/0.41 fof(f358,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c2|~sQ10_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ11_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f349,f246])).
% 0.10/0.41 fof(f361,plain,(
% 0.10/0.41 ~inverse(sk_c6)=sk_c2|~sQ10_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ18_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f349,f300])).
% 0.10/0.41 fof(f366,plain,(
% 0.10/0.41 ~inverse(sk_c2)=sk_c2|~sQ10_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ18_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f349,f361])).
% 0.10/0.41 fof(f380,definition,(
% 0.10/0.41 sQ19_spl <=> (sk_c2=sk_c2)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f382,plain,(
% 0.10/0.41 ~sk_c2=sk_c2|sQ19_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f380])).
% 0.10/0.41 fof(f383,definition,(
% 0.10/0.41 sQ20_spl <=> (inverse(sk_c2)=sk_c2)),
% 0.10/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.10/0.41 fof(f385,plain,(
% 0.10/0.41 ~inverse(sk_c2)=sk_c2|sQ20_spl),
% 0.10/0.41 inference(component_clause,[status(thm)],[f383])).
% 0.10/0.41 fof(f387,plain,(
% 0.10/0.41 $false|sQ19_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f382])).
% 0.10/0.41 fof(f388,plain,(
% 0.10/0.41 sQ19_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f387])).
% 0.10/0.41 fof(f402,plain,(
% 0.10/0.41 ~sk_c2=sk_c2|~sQ10_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ18_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f358,f366])).
% 0.10/0.41 fof(f403,plain,(
% 0.10/0.41 $false|~sQ10_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ18_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f402])).
% 0.10/0.41 fof(f404,plain,(
% 0.10/0.41 ~sQ10_spl|~sQ11_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ18_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f403])).
% 0.10/0.41 fof(f418,plain,(
% 0.10/0.41 ~inverse(sk_c6)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f286])).
% 0.10/0.41 fof(f419,plain,(
% 0.10/0.41 ~sk_c6=sk_c2|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|sQ20_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f420,f385])).
% 0.10/0.41 fof(f420,plain,(
% 0.10/0.41 inverse(sk_c2)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f146])).
% 0.10/0.41 fof(f422,plain,(
% 0.10/0.41 inverse(sk_c1)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f119])).
% 0.10/0.41 fof(f424,plain,(
% 0.10/0.41 sk_c6=multiply(sk_c8,sk_c6)|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f233])).
% 0.10/0.41 fof(f425,plain,(
% 0.10/0.41 sk_c6=multiply(sk_c6,sk_c6)|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|~sQ10_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f424])).
% 0.10/0.41 fof(f445,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c1)=identity|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f422,f42])).
% 0.10/0.41 fof(f456,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c6)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f110])).
% 0.10/0.41 fof(f460,plain,(
% 0.10/0.41 multiply(sk_c6,sk_c6)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f128])).
% 0.10/0.41 fof(f461,plain,(
% 0.10/0.41 sk_c6=sk_c7|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f425,f460])).
% 0.10/0.41 fof(f466,plain,(
% 0.10/0.41 multiply(sk_c1,sk_c6)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f461,f456])).
% 0.10/0.41 fof(f468,plain,(
% 0.10/0.41 ~inverse(sk_c6)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f461,f418])).
% 0.10/0.41 fof(f469,plain,(
% 0.10/0.41 ~multiply(sk_c6,sk_c8)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f461,f87])).
% 0.10/0.41 fof(f470,plain,(
% 0.10/0.41 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f469])).
% 0.10/0.41 fof(f471,plain,(
% 0.10/0.41 ~sk_c6=sk_c6|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f425,f470])).
% 0.10/0.41 fof(f472,plain,(
% 0.10/0.41 $false|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ1_spl),
% 0.10/0.41 inference(trivial_equality_resolution,[status(thm)],[f471])).
% 0.10/0.41 fof(f473,plain,(
% 0.10/0.41 ~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ1_spl),
% 0.10/0.41 inference(contradiction_clause,[status(thm)],[f472])).
% 0.10/0.41 fof(f480,plain,(
% 0.10/0.41 sk_c6=multiply(inverse(sk_c7),sk_c6)|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f220])).
% 0.10/0.41 fof(f481,plain,(
% 0.10/0.41 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f461,f480])).
% 0.10/0.41 fof(f482,plain,(
% 0.10/0.41 sk_c6=identity|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f42,f481])).
% 0.10/0.41 fof(f485,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f158])).
% 0.10/0.41 fof(f486,plain,(
% 0.10/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f291,f485])).
% 0.10/0.41 fof(f488,plain,(
% 0.10/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f482,f42])).
% 0.10/0.41 fof(f490,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl)),
% 0.10/0.41 inference(backward_demodulation,[status(thm)],[f482,f41])).
% 0.10/0.41 fof(f495,plain,(
% 0.10/0.41 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c6,X0))|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.10/0.41 inference(paramodulation,[status(thm)],[f466,f43])).
% 0.10/0.41 fof(f497,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(sk_c1,multiply(sk_c6,X0))|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f490,f495])).
% 0.10/0.41 fof(f498,plain,(
% 0.10/0.41 ![X0]: (X0=multiply(sk_c1,X0)|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f490,f497])).
% 0.10/0.41 fof(f504,plain,(
% 0.10/0.41 sk_c6=sk_c1|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f505,f482])).
% 0.10/0.42 fof(f505,plain,(
% 0.10/0.42 sk_c1=identity|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f490,f445])).
% 0.10/0.42 fof(f510,plain,(
% 0.10/0.42 ~inverse(sk_c6)=sk_c1|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f504,f468])).
% 0.10/0.42 fof(f511,plain,(
% 0.10/0.42 sk_c1=sk_c7|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f504,f461])).
% 0.10/0.42 fof(f513,plain,(
% 0.10/0.42 inverse(sk_c1)=sk_c1|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f504,f422])).
% 0.10/0.42 fof(f514,plain,(
% 0.10/0.42 ~sk_c1=sk_c2|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|sQ20_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f504,f419])).
% 0.10/0.42 fof(f515,plain,(
% 0.10/0.42 inverse(sk_c2)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f504,f420])).
% 0.10/0.42 fof(f516,plain,(
% 0.10/0.42 sk_c8=sk_c1|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f504,f291])).
% 0.10/0.42 fof(f517,plain,(
% 0.10/0.42 ~inverse(sk_c1)=sk_c1|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ18_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f504,f510])).
% 0.10/0.42 fof(f519,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c1)=sk_c6|~inverse(X0)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f504,f486])).
% 0.10/0.42 fof(f520,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c1)=sk_c1|~inverse(X0)=sk_c6|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f504,f519])).
% 0.10/0.42 fof(f521,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c1)=sk_c1|~inverse(X0)=sk_c1|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ13_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f504,f520])).
% 0.10/0.42 fof(f523,plain,(
% 0.10/0.42 ~sk_c1=sk_c1|~inverse(sk_c1)=sk_c1|~sQ13_spl|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f498,f521])).
% 0.10/0.42 fof(f525,definition,(
% 0.10/0.42 sQ21_spl <=> (sk_c1=sk_c1)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f527,plain,(
% 0.10/0.42 ~sk_c1=sk_c1|sQ21_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f525])).
% 0.10/0.42 fof(f528,definition,(
% 0.10/0.42 sQ22_spl <=> (inverse(sk_c1)=sk_c1)),
% 0.10/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.10/0.42 fof(f530,plain,(
% 0.10/0.42 ~inverse(sk_c1)=sk_c1|sQ22_spl),
% 0.10/0.42 inference(component_clause,[status(thm)],[f528])).
% 0.10/0.42 fof(f531,plain,(
% 0.10/0.42 ~sQ21_spl|~sQ22_spl|~sQ13_spl|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f523,f525,f528,f157,f85,f145,f136,f127,f82,f118,f109])).
% 0.10/0.42 fof(f532,plain,(
% 0.10/0.42 $false|sQ21_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f527])).
% 0.10/0.42 fof(f533,plain,(
% 0.10/0.42 sQ21_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f532])).
% 0.10/0.42 fof(f534,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c8)=sk_c1|~inverse(X0)=sk_c8|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ12_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f511,f155])).
% 0.10/0.42 fof(f535,plain,(
% 0.10/0.42 $false|sQ18_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f513,f517])).
% 0.10/0.42 fof(f536,plain,(
% 0.10/0.42 sQ18_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f535])).
% 0.10/0.42 fof(f539,plain,(
% 0.10/0.42 ![X0]: (X0=multiply(sk_c1,multiply(sk_c2,X0))|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f515,f206])).
% 0.10/0.42 fof(f540,plain,(
% 0.10/0.42 ![X0]: (X0=multiply(sk_c2,X0)|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f498,f539])).
% 0.10/0.42 fof(f541,plain,(
% 0.10/0.42 $false|sQ22_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f513,f530])).
% 0.10/0.42 fof(f542,plain,(
% 0.10/0.42 sQ22_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f541])).
% 0.10/0.42 fof(f548,plain,(
% 0.10/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c1|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ1_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f504,f488])).
% 0.10/0.42 fof(f550,plain,(
% 0.10/0.42 multiply(sk_c1,sk_c2)=sk_c1|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f515,f548])).
% 0.10/0.42 fof(f553,plain,(
% 0.10/0.42 sk_c2=sk_c1|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f498,f550])).
% 0.10/0.42 fof(f554,plain,(
% 0.10/0.42 $false|sQ20_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.10/0.42 inference(forward_subsumption_resolution,[status(thm)],[f553,f514])).
% 0.10/0.42 fof(f555,plain,(
% 0.10/0.42 sQ20_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f554])).
% 0.10/0.42 fof(f560,plain,(
% 0.10/0.42 sk_c8=sk_c2|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f553,f516])).
% 0.10/0.42 fof(f581,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c2)=sk_c1|~inverse(X0)=sk_c8|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ12_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f560,f534])).
% 0.10/0.42 fof(f582,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c8|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ12_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f553,f581])).
% 0.10/0.42 fof(f583,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ1_spl|~sQ11_spl|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|~sQ12_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f560,f582])).
% 0.10/0.42 fof(f584,plain,(
% 0.10/0.42 ~inverse(sk_c2)=sk_c2|~sQ12_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.10/0.42 inference(resolution,[status(thm)],[f583,f540])).
% 0.10/0.42 fof(f587,plain,(
% 0.10/0.42 ~sQ20_spl|~sQ12_spl|~sQ10_spl|~sQ9_spl|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.10/0.42 inference(split_clause,[status(thm)],[f584,f383,f154,f136,f127,f85,f82,f118,f109,f145])).
% 0.10/0.42 fof(f637,plain,(
% 0.10/0.42 sk_c8=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f230,f232])).
% 0.10/0.42 fof(f640,plain,(
% 0.10/0.42 inverse(sk_c3)=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f230,f94])).
% 0.10/0.42 fof(f663,plain,(
% 0.10/0.42 multiply(sk_c3,sk_c6)=sk_c8|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f230,f90])).
% 0.10/0.42 fof(f664,plain,(
% 0.10/0.42 multiply(sk_c3,sk_c6)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f637,f663])).
% 0.10/0.42 fof(f668,plain,(
% 0.10/0.42 sk_c6=multiply(sk_c7,sk_c8)|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f230,f229])).
% 0.10/0.42 fof(f669,plain,(
% 0.10/0.42 sk_c6=multiply(sk_c6,sk_c8)|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f230,f668])).
% 0.10/0.42 fof(f670,plain,(
% 0.10/0.42 sk_c6=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f637,f669])).
% 0.10/0.42 fof(f683,plain,(
% 0.10/0.42 ~multiply(sk_c6,sk_c7)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f637,f84])).
% 0.10/0.42 fof(f684,plain,(
% 0.10/0.42 ~multiply(sk_c6,sk_c6)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f230,f683])).
% 0.10/0.42 fof(f685,plain,(
% 0.10/0.42 ~sk_c6=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f670,f684])).
% 0.10/0.42 fof(f686,plain,(
% 0.10/0.42 $false|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f685])).
% 0.10/0.42 fof(f687,plain,(
% 0.10/0.42 ~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ0_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f686])).
% 0.10/0.42 fof(f700,plain,(
% 0.10/0.42 ~sk_c6=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f670,f268])).
% 0.10/0.42 fof(f701,plain,(
% 0.10/0.42 $false|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f700])).
% 0.10/0.42 fof(f702,plain,(
% 0.10/0.42 ~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ9_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f701])).
% 0.10/0.42 fof(f706,plain,(
% 0.10/0.42 ~sk_c6=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ17_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f637,f283])).
% 0.10/0.42 fof(f707,plain,(
% 0.10/0.42 $false|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ17_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f706])).
% 0.10/0.42 fof(f708,plain,(
% 0.10/0.42 ~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|sQ17_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f707])).
% 0.10/0.42 fof(f718,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c8|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f637,f158])).
% 0.10/0.42 fof(f719,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ13_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f637,f718])).
% 0.10/0.42 fof(f734,plain,(
% 0.10/0.42 ~inverse(sk_c3)=sk_c6|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(resolution,[status(thm)],[f719,f664])).
% 0.10/0.42 fof(f745,plain,(
% 0.10/0.42 ~sk_c6=sk_c6|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f640,f734])).
% 0.10/0.42 fof(f746,plain,(
% 0.10/0.42 $false|~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f745])).
% 0.10/0.42 fof(f747,plain,(
% 0.10/0.42 ~sQ13_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f746])).
% 0.10/0.42 fof(f748,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c8|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f637,f155])).
% 0.10/0.42 fof(f749,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c8|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f230,f748])).
% 0.10/0.42 fof(f750,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ12_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f637,f749])).
% 0.10/0.42 fof(f751,plain,(
% 0.10/0.42 ~inverse(sk_c3)=sk_c6|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(resolution,[status(thm)],[f750,f664])).
% 0.10/0.42 fof(f762,plain,(
% 0.10/0.42 ~sk_c6=sk_c6|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f640,f751])).
% 0.10/0.42 fof(f763,plain,(
% 0.10/0.42 $false|~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f762])).
% 0.10/0.42 fof(f764,plain,(
% 0.10/0.42 ~sQ12_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f763])).
% 0.10/0.42 fof(f765,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c8|~inverse(X0)=sk_c7|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ14_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f230,f161])).
% 0.10/0.42 fof(f766,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c7|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ14_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f637,f765])).
% 0.10/0.42 fof(f767,plain,(
% 0.10/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ14_spl)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f230,f766])).
% 0.10/0.42 fof(f781,plain,(
% 0.10/0.42 ~inverse(sk_c3)=sk_c6|~sQ14_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(resolution,[status(thm)],[f767,f664])).
% 0.10/0.42 fof(f792,plain,(
% 0.10/0.42 ~sk_c6=sk_c6|~sQ14_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f640,f781])).
% 0.10/0.42 fof(f793,plain,(
% 0.10/0.42 $false|~sQ14_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f792])).
% 0.10/0.42 fof(f794,plain,(
% 0.10/0.42 ~sQ14_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.10/0.42 inference(contradiction_clause,[status(thm)],[f793])).
% 0.10/0.42 fof(f795,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f166,f198,f199,f287,f293,f388,f404,f473,f531,f533,f536,f542,f555,f587,f687,f702,f708,f747,f764,f794])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.067672 seconds
% 0.10/0.44 % CPU time: 0.231005 seconds
% 0.10/0.44 % Total memory used: 104.754 MB
% 0.10/0.44 % Net memory used: 104.610 MB
%------------------------------------------------------------------------------