%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP296-1 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:24 PM UTC 2026
% Result : Unsatisfiable 0.12s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP296-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n004.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 20:08:26 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.12/5.41 % Refutation found
% 0.12/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/5.41 fof(f1,axiom,(
% 0.12/5.41 (![X]: (multiply(identity,X) = X ))),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f2,axiom,(
% 0.12/5.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f3,axiom,(
% 0.12/5.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f4,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f5,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f6,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f7,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f8,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f9,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f10,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f11,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f12,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f13,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f14,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f15,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f16,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f17,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f18,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f19,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f20,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f21,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f22,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c6,sk_c8) = sk_c7 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f23,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f24,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f25,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c6) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f26,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c6) = sk_c7| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f27,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c8,sk_c6) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f29,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f30,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f31,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f32,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f33,negated_conjecture,(
% 0.12/5.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f35,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c4) = sk_c7 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f36,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c3,sk_c8) = sk_c4 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f37,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f38,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f39,negated_conjecture,(
% 0.12/5.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f40,negated_conjecture,(
% 0.12/5.41 (![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_c6,sk_c8) != sk_c7| multiply(sk_c8,X1) != sk_c7| multiply(X2,sk_c8) != X1| inverse(X2) != sk_c8| multiply(X5,sk_c6) != sk_c8| inverse(X5) != sk_c6 ) ))),
% 0.12/5.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.41 fof(f41,plain,(
% 0.12/5.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/5.41 fof(f42,plain,(
% 0.12/5.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/5.41 fof(f43,plain,(
% 0.12/5.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/5.41 fof(f44,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c6,sk_c8)=sk_c7),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/5.41 fof(f45,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c8,sk_c4)=sk_c7),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/5.41 fof(f46,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c3,sk_c8)=sk_c4),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/5.41 fof(f47,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/5.41 fof(f48,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/5.41 fof(f49,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/5.41 fof(f50,plain,(
% 0.12/5.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c6,sk_c8)=sk_c7),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/5.41 fof(f51,plain,(
% 0.12/5.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c4)=sk_c7),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/5.41 fof(f52,plain,(
% 0.12/5.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c8)=sk_c4),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/5.41 fof(f53,plain,(
% 0.12/5.41 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/5.41 fof(f54,plain,(
% 0.12/5.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/5.41 fof(f55,plain,(
% 0.12/5.41 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/5.41 fof(f56,plain,(
% 0.12/5.41 inverse(sk_c1)=sk_c8|multiply(sk_c6,sk_c8)=sk_c7),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/5.41 fof(f57,plain,(
% 0.12/5.41 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c4)=sk_c7),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/5.41 fof(f58,plain,(
% 0.12/5.41 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c8)=sk_c4),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/5.41 fof(f59,plain,(
% 0.12/5.41 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/5.41 fof(f60,plain,(
% 0.12/5.41 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/5.41 fof(f61,plain,(
% 0.12/5.41 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/5.41 fof(f62,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c6,sk_c8)=sk_c7),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/5.41 fof(f63,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c8,sk_c4)=sk_c7),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/5.41 fof(f64,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c3,sk_c8)=sk_c4),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/5.41 fof(f65,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c6)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/5.41 fof(f66,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c6)=sk_c7|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/5.41 fof(f67,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c6)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/5.41 fof(f69,plain,(
% 0.12/5.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c8,sk_c4)=sk_c7),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/5.41 fof(f70,plain,(
% 0.12/5.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c4),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/5.41 fof(f71,plain,(
% 0.12/5.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/5.41 fof(f72,plain,(
% 0.12/5.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/5.41 fof(f73,plain,(
% 0.12/5.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/5.41 fof(f75,plain,(
% 0.12/5.41 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c4)=sk_c7),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/5.41 fof(f76,plain,(
% 0.12/5.41 inverse(sk_c2)=sk_c8|multiply(sk_c3,sk_c8)=sk_c4),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/5.41 fof(f77,plain,(
% 0.12/5.41 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/5.41 fof(f78,plain,(
% 0.12/5.41 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c6)=sk_c8),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/5.41 fof(f79,plain,(
% 0.12/5.41 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.12/5.41 fof(f80,plain,(
% 0.12/5.41 ![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_c6,sk_c8)=sk_c7)|~multiply(sk_c8,X1)=sk_c7)|~multiply(X2,sk_c8)=X1))|~inverse(X2)=sk_c8))|~multiply(X5,sk_c6)=sk_c8)|~inverse(X5)=sk_c6)),
% 0.12/5.41 inference(miniscoping,[status(thm)],[f40])).
% 0.12/5.41 fof(f81,plain,(
% 0.12/5.41 ![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_c6,sk_c8)=sk_c7|~multiply(sk_c8,X2)=sk_c7|~multiply(X3,sk_c8)=X2|~inverse(X3)=sk_c8|~multiply(X4,sk_c6)=sk_c8|~inverse(X4)=sk_c6)),
% 0.12/5.41 inference(cnf_transformation,[status(thm)],[f80])).
% 0.12/5.41 fof(f82,definition,(
% 0.12/5.41 sQ0_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f83,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c7)=sk_c6|~sQ0_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f82])).
% 0.12/5.41 fof(f84,plain,(
% 0.12/5.41 ~multiply(sk_c8,sk_c7)=sk_c6|sQ0_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f82])).
% 0.12/5.41 fof(f85,definition,(
% 0.12/5.41 sQ1_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f86,plain,(
% 0.12/5.41 multiply(sk_c6,sk_c8)=sk_c7|~sQ1_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f85])).
% 0.12/5.41 fof(f87,plain,(
% 0.12/5.41 ~multiply(sk_c6,sk_c8)=sk_c7|sQ1_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f85])).
% 0.12/5.41 fof(f88,plain,(
% 0.12/5.41 sQ0_spl|sQ1_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.12/5.41 fof(f89,definition,(
% 0.12/5.41 sQ2_spl <=> (multiply(sk_c8,sk_c4)=sk_c7)),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f90,plain,(
% 0.12/5.41 multiply(sk_c8,sk_c4)=sk_c7|~sQ2_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f89])).
% 0.12/5.41 fof(f92,plain,(
% 0.12/5.41 sQ0_spl|sQ2_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.12/5.41 fof(f93,definition,(
% 0.12/5.41 sQ3_spl <=> (multiply(sk_c3,sk_c8)=sk_c4)),
% 0.12/5.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/5.41 fof(f94,plain,(
% 0.12/5.41 multiply(sk_c3,sk_c8)=sk_c4|~sQ3_spl),
% 0.12/5.41 inference(component_clause,[status(thm)],[f93])).
% 0.12/5.41 fof(f96,plain,(
% 0.12/5.41 sQ0_spl|sQ3_spl),
% 0.12/5.41 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.12/5.41 fof(f97,definition,(
% 0.12/5.41 sQ4_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f98,plain,(
% 0.12/5.42 inverse(sk_c3)=sk_c8|~sQ4_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f97])).
% 0.12/5.42 fof(f100,plain,(
% 0.12/5.42 sQ0_spl|sQ4_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.12/5.42 fof(f101,definition,(
% 0.12/5.42 sQ5_spl <=> (multiply(sk_c5,sk_c6)=sk_c8)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f102,plain,(
% 0.12/5.42 multiply(sk_c5,sk_c6)=sk_c8|~sQ5_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f101])).
% 0.12/5.42 fof(f104,plain,(
% 0.12/5.42 sQ0_spl|sQ5_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.12/5.42 fof(f105,definition,(
% 0.12/5.42 sQ6_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f106,plain,(
% 0.12/5.42 inverse(sk_c5)=sk_c6|~sQ6_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f105])).
% 0.12/5.42 fof(f108,plain,(
% 0.12/5.42 sQ0_spl|sQ6_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.12/5.42 fof(f109,definition,(
% 0.12/5.42 sQ7_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f110,plain,(
% 0.12/5.42 multiply(sk_c1,sk_c8)=sk_c7|~sQ7_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f109])).
% 0.12/5.42 fof(f112,plain,(
% 0.12/5.42 sQ7_spl|sQ1_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.12/5.42 fof(f113,plain,(
% 0.12/5.42 sQ7_spl|sQ2_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.12/5.42 fof(f114,plain,(
% 0.12/5.42 sQ7_spl|sQ3_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.12/5.42 fof(f115,plain,(
% 0.12/5.42 sQ7_spl|sQ4_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.12/5.42 fof(f116,plain,(
% 0.12/5.42 sQ7_spl|sQ5_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.12/5.42 fof(f117,plain,(
% 0.12/5.42 sQ7_spl|sQ6_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.12/5.42 fof(f118,definition,(
% 0.12/5.42 sQ8_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f119,plain,(
% 0.12/5.42 inverse(sk_c1)=sk_c8|~sQ8_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f118])).
% 0.12/5.42 fof(f121,plain,(
% 0.12/5.42 sQ8_spl|sQ1_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.12/5.42 fof(f122,plain,(
% 0.12/5.42 sQ8_spl|sQ2_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.12/5.42 fof(f123,plain,(
% 0.12/5.42 sQ8_spl|sQ3_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.12/5.42 fof(f124,plain,(
% 0.12/5.42 sQ8_spl|sQ4_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.12/5.42 fof(f125,plain,(
% 0.12/5.42 sQ8_spl|sQ5_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.12/5.42 fof(f126,plain,(
% 0.12/5.42 sQ8_spl|sQ6_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.12/5.42 fof(f127,definition,(
% 0.12/5.42 sQ9_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f128,plain,(
% 0.12/5.42 multiply(sk_c8,sk_c6)=sk_c7|~sQ9_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f127])).
% 0.12/5.42 fof(f129,plain,(
% 0.12/5.42 ~multiply(sk_c8,sk_c6)=sk_c7|sQ9_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f127])).
% 0.12/5.42 fof(f130,plain,(
% 0.12/5.42 sQ9_spl|sQ1_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.12/5.42 fof(f131,plain,(
% 0.12/5.42 sQ9_spl|sQ2_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.12/5.42 fof(f132,plain,(
% 0.12/5.42 sQ9_spl|sQ3_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.12/5.42 fof(f133,plain,(
% 0.12/5.42 sQ9_spl|sQ4_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.12/5.42 fof(f134,plain,(
% 0.12/5.42 sQ9_spl|sQ5_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.12/5.42 fof(f135,plain,(
% 0.12/5.42 sQ9_spl|sQ6_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.12/5.42 fof(f136,definition,(
% 0.12/5.42 sQ10_spl <=> (multiply(sk_c2,sk_c8)=sk_c6)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f137,plain,(
% 0.12/5.42 multiply(sk_c2,sk_c8)=sk_c6|~sQ10_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f136])).
% 0.12/5.42 fof(f140,plain,(
% 0.12/5.42 sQ10_spl|sQ2_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.12/5.42 fof(f141,plain,(
% 0.12/5.42 sQ10_spl|sQ3_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.12/5.42 fof(f142,plain,(
% 0.12/5.42 sQ10_spl|sQ4_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.12/5.42 fof(f143,plain,(
% 0.12/5.42 sQ10_spl|sQ5_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.12/5.42 fof(f144,plain,(
% 0.12/5.42 sQ10_spl|sQ6_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.12/5.42 fof(f145,definition,(
% 0.12/5.42 sQ11_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f146,plain,(
% 0.12/5.42 inverse(sk_c2)=sk_c8|~sQ11_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f145])).
% 0.12/5.42 fof(f149,plain,(
% 0.12/5.42 sQ11_spl|sQ2_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.12/5.42 fof(f150,plain,(
% 0.12/5.42 sQ11_spl|sQ3_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.12/5.42 fof(f151,plain,(
% 0.12/5.42 sQ11_spl|sQ4_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.12/5.42 fof(f152,plain,(
% 0.12/5.42 sQ11_spl|sQ5_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.12/5.42 fof(f153,plain,(
% 0.12/5.42 sQ11_spl|sQ6_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.12/5.42 fof(f154,definition,(
% 0.12/5.42 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f155,plain,(
% 0.12/5.42 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.12/5.42 inference(component_clause,[status(thm)],[f154])).
% 0.12/5.42 fof(f157,definition,(
% 0.12/5.42 ![X1]: (sQ13_spl <=> (~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=sk_c8))),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f158,plain,(
% 0.12/5.42 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.12/5.42 inference(component_clause,[status(thm)],[f157])).
% 0.12/5.42 fof(f160,definition,(
% 0.12/5.42 ![X2,X3]: (sQ14_spl <=> (~multiply(sk_c8,X2)=sk_c7|~multiply(X3,sk_c8)=X2|~inverse(X3)=sk_c8))),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f161,plain,(
% 0.12/5.42 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ14_spl)),
% 0.12/5.42 inference(component_clause,[status(thm)],[f160])).
% 0.12/5.42 fof(f163,definition,(
% 0.12/5.42 ![X4]: (sQ15_spl <=> (~multiply(X4,sk_c6)=sk_c8|~inverse(X4)=sk_c6))),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f164,plain,(
% 0.12/5.42 ![X0]: (~multiply(X0,sk_c6)=sk_c8|~inverse(X0)=sk_c6|~sQ15_spl)),
% 0.12/5.42 inference(component_clause,[status(thm)],[f163])).
% 0.12/5.42 fof(f166,plain,(
% 0.12/5.42 ~sQ0_spl|sQ12_spl|~sQ9_spl|sQ13_spl|~sQ1_spl|sQ14_spl|sQ15_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f81,f82,f154,f127,f157,f85,f160,f163])).
% 0.12/5.42 fof(f167,plain,(
% 0.12/5.42 ~inverse(sk_c5)=sk_c6|~sQ15_spl|~sQ5_spl),
% 0.12/5.42 inference(resolution,[status(thm)],[f164,f102])).
% 0.12/5.42 fof(f170,plain,(
% 0.12/5.42 ~sk_c6=sk_c6|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f106,f167])).
% 0.12/5.42 fof(f171,plain,(
% 0.12/5.42 $false|~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f170])).
% 0.12/5.42 fof(f172,plain,(
% 0.12/5.42 ~sQ6_spl|~sQ15_spl|~sQ5_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f171])).
% 0.12/5.42 fof(f173,plain,(
% 0.12/5.42 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ14_spl)),
% 0.12/5.42 inference(destructive_equality_resolution,[status(thm)],[f161])).
% 0.12/5.42 fof(f174,plain,(
% 0.12/5.42 ~inverse(sk_c2)=sk_c8|~sQ13_spl|~sQ10_spl),
% 0.12/5.42 inference(resolution,[status(thm)],[f158,f137])).
% 0.12/5.42 fof(f175,plain,(
% 0.12/5.42 ~sk_c7=sk_c6|~inverse(sk_c1)=sk_c8|~sQ13_spl|~sQ7_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f110,f158])).
% 0.12/5.42 fof(f176,plain,(
% 0.12/5.42 ~sk_c4=sk_c6|~inverse(sk_c3)=sk_c8|~sQ13_spl|~sQ3_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f94,f158])).
% 0.12/5.42 fof(f178,plain,(
% 0.12/5.42 ~sk_c8=sk_c8|~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f146,f174])).
% 0.12/5.42 fof(f179,plain,(
% 0.12/5.42 $false|~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f178])).
% 0.12/5.42 fof(f180,plain,(
% 0.12/5.42 ~sQ11_spl|~sQ13_spl|~sQ10_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f179])).
% 0.12/5.42 fof(f189,plain,(
% 0.12/5.42 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c1)=sk_c8|~sQ14_spl|~sQ7_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f110,f173])).
% 0.12/5.42 fof(f190,plain,(
% 0.12/5.42 ~multiply(sk_c8,sk_c4)=sk_c7|~inverse(sk_c3)=sk_c8|~sQ14_spl|~sQ3_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f94,f173])).
% 0.12/5.42 fof(f191,definition,(
% 0.12/5.42 sQ16_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f194,plain,(
% 0.12/5.42 ~sQ16_spl|~sQ8_spl|~sQ14_spl|~sQ7_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f189,f191,f118,f160,f109])).
% 0.12/5.42 fof(f195,plain,(
% 0.12/5.42 ~sQ2_spl|~sQ4_spl|~sQ14_spl|~sQ3_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f190,f89,f97,f160,f93])).
% 0.12/5.42 fof(f198,plain,(
% 0.12/5.42 multiply(sk_c8,sk_c3)=identity|~sQ4_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f98,f42])).
% 0.12/5.42 fof(f200,plain,(
% 0.12/5.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.12/5.42 fof(f201,plain,(
% 0.12/5.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f41,f200])).
% 0.12/5.42 fof(f216,plain,(
% 0.12/5.42 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f41,f201])).
% 0.12/5.42 fof(f221,plain,(
% 0.12/5.42 sk_c8=multiply(inverse(sk_c3),sk_c4)|~sQ3_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f94,f201])).
% 0.12/5.42 fof(f222,plain,(
% 0.12/5.42 sk_c6=multiply(inverse(sk_c5),sk_c8)|~sQ5_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f102,f201])).
% 0.12/5.42 fof(f224,plain,(
% 0.12/5.42 sk_c8=multiply(sk_c8,sk_c4)|~sQ4_spl|~sQ3_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f98,f221])).
% 0.12/5.42 fof(f225,plain,(
% 0.12/5.42 sk_c8=sk_c7|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f90,f224])).
% 0.12/5.42 fof(f226,plain,(
% 0.12/5.42 sk_c6=multiply(sk_c6,sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f106,f222])).
% 0.12/5.42 fof(f229,plain,(
% 0.12/5.42 multiply(sk_c7,sk_c3)=identity|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f225,f198])).
% 0.12/5.42 fof(f231,plain,(
% 0.12/5.42 multiply(sk_c6,sk_c7)=sk_c7|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f225,f86])).
% 0.12/5.42 fof(f233,plain,(
% 0.12/5.42 multiply(sk_c7,sk_c4)=sk_c7|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f225,f90])).
% 0.12/5.42 fof(f248,plain,(
% 0.12/5.42 sk_c6=multiply(sk_c6,sk_c7)|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f225,f226])).
% 0.12/5.42 fof(f249,plain,(
% 0.12/5.42 sk_c7=multiply(inverse(sk_c6),sk_c6)|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f248,f201])).
% 0.12/5.42 fof(f251,plain,(
% 0.12/5.42 sk_c7=identity|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f42,f249])).
% 0.12/5.42 fof(f255,plain,(
% 0.12/5.42 ![X0]: (multiply(sk_c7,X0)=X0|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl)),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f251,f41])).
% 0.12/5.42 fof(f264,definition,(
% 0.12/5.42 sQ17_spl <=> (sk_c7=sk_c7)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f266,plain,(
% 0.12/5.42 ~sk_c7=sk_c7|sQ17_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f264])).
% 0.12/5.42 fof(f271,definition,(
% 0.12/5.42 sQ19_spl <=> (sk_c6=sk_c7)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f273,plain,(
% 0.12/5.42 ~sk_c6=sk_c7|sQ19_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f271])).
% 0.12/5.42 fof(f278,plain,(
% 0.12/5.42 $false|sQ17_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f266])).
% 0.12/5.42 fof(f279,plain,(
% 0.12/5.42 sQ17_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f278])).
% 0.12/5.42 fof(f290,plain,(
% 0.12/5.42 ![X0]: (multiply(sk_c6,X0)=X0|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl)),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f296,f255])).
% 0.12/5.42 fof(f291,plain,(
% 0.12/5.42 sk_c6=identity|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f296,f251])).
% 0.12/5.42 fof(f295,plain,(
% 0.12/5.42 sk_c8=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f296,f225])).
% 0.12/5.42 fof(f296,plain,(
% 0.12/5.42 sk_c6=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f248,f231])).
% 0.12/5.42 fof(f300,plain,(
% 0.12/5.42 ~sk_c6=sk_c6|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|sQ19_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f296,f273])).
% 0.12/5.42 fof(f301,plain,(
% 0.12/5.42 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|sQ19_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f300])).
% 0.12/5.42 fof(f302,plain,(
% 0.12/5.42 ~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|sQ19_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f301])).
% 0.12/5.42 fof(f303,plain,(
% 0.12/5.42 multiply(sk_c6,sk_c4)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f296,f233])).
% 0.12/5.42 fof(f304,plain,(
% 0.12/5.42 multiply(sk_c6,sk_c4)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f296,f303])).
% 0.12/5.42 fof(f317,plain,(
% 0.12/5.42 sk_c4=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f290,f304])).
% 0.12/5.42 fof(f320,plain,(
% 0.12/5.42 ![X0]: (multiply(sk_c4,X0)=X0|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl)),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f317,f290])).
% 0.12/5.42 fof(f323,plain,(
% 0.12/5.42 sk_c8=sk_c4|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f317,f295])).
% 0.12/5.42 fof(f324,plain,(
% 0.12/5.42 sk_c4=identity|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f317,f291])).
% 0.12/5.42 fof(f326,plain,(
% 0.12/5.42 sk_c4=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f317,f296])).
% 0.12/5.42 fof(f396,plain,(
% 0.12/5.42 multiply(sk_c4,sk_c3)=identity|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f326,f229])).
% 0.12/5.42 fof(f397,plain,(
% 0.12/5.42 sk_c4=sk_c3|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f398,f324])).
% 0.12/5.42 fof(f398,plain,(
% 0.12/5.42 sk_c3=identity|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f320,f396])).
% 0.12/5.42 fof(f400,plain,(
% 0.12/5.42 ![X0]: (multiply(sk_c3,X0)=X0|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl)),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f397,f320])).
% 0.12/5.42 fof(f405,plain,(
% 0.12/5.42 sk_c3=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f397,f317])).
% 0.12/5.42 fof(f406,plain,(
% 0.12/5.42 sk_c8=sk_c3|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f397,f323])).
% 0.12/5.42 fof(f407,plain,(
% 0.12/5.42 sk_c3=sk_c7|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f397,f326])).
% 0.12/5.42 fof(f410,plain,(
% 0.12/5.42 ~multiply(sk_c3,sk_c6)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ9_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f406,f129])).
% 0.12/5.42 fof(f411,plain,(
% 0.12/5.42 ~multiply(sk_c3,sk_c3)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ9_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f405,f410])).
% 0.12/5.42 fof(f412,plain,(
% 0.12/5.42 ~multiply(sk_c3,sk_c3)=sk_c3|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ9_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f407,f411])).
% 0.12/5.42 fof(f417,plain,(
% 0.12/5.42 ~sk_c3=sk_c3|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ9_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f400,f412])).
% 0.12/5.42 fof(f420,plain,(
% 0.12/5.42 $false|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ9_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f417])).
% 0.12/5.42 fof(f421,plain,(
% 0.12/5.42 ~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ9_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f420])).
% 0.12/5.42 fof(f422,plain,(
% 0.12/5.42 ~multiply(sk_c3,sk_c7)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f406,f84])).
% 0.12/5.42 fof(f423,plain,(
% 0.12/5.42 ~sk_c7=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f400,f422])).
% 0.12/5.42 fof(f424,plain,(
% 0.12/5.42 ~sk_c3=sk_c6|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f407,f423])).
% 0.12/5.42 fof(f425,plain,(
% 0.12/5.42 ~sk_c3=sk_c3|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f405,f424])).
% 0.12/5.42 fof(f426,plain,(
% 0.12/5.42 $false|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f425])).
% 0.12/5.42 fof(f427,plain,(
% 0.12/5.42 ~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f426])).
% 0.12/5.42 fof(f471,definition,(
% 0.12/5.42 sQ21_spl <=> (sk_c4=sk_c6)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f473,plain,(
% 0.12/5.42 ~sk_c4=sk_c6|sQ21_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f471])).
% 0.12/5.42 fof(f474,plain,(
% 0.12/5.42 ~sQ21_spl|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f176,f471,f97,f157,f93])).
% 0.12/5.42 fof(f487,plain,(
% 0.12/5.42 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ7_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f110,f201])).
% 0.12/5.42 fof(f489,plain,(
% 0.12/5.42 sk_c8=multiply(sk_c8,sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f119,f487])).
% 0.12/5.42 fof(f490,plain,(
% 0.12/5.42 sk_c8=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f83,f489])).
% 0.12/5.42 fof(f491,plain,(
% 0.12/5.42 multiply(sk_c1,sk_c6)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f490,f110])).
% 0.12/5.42 fof(f493,plain,(
% 0.12/5.42 inverse(sk_c2)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f490,f146])).
% 0.12/5.42 fof(f494,plain,(
% 0.12/5.42 multiply(sk_c6,sk_c7)=sk_c6|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f490,f83])).
% 0.12/5.42 fof(f495,plain,(
% 0.12/5.42 multiply(sk_c6,sk_c6)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f490,f128])).
% 0.12/5.42 fof(f496,plain,(
% 0.12/5.42 multiply(sk_c2,sk_c6)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f490,f137])).
% 0.12/5.42 fof(f497,plain,(
% 0.12/5.42 inverse(sk_c1)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f490,f119])).
% 0.12/5.42 fof(f501,plain,(
% 0.12/5.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f201,f216])).
% 0.12/5.42 fof(f514,plain,(
% 0.12/5.42 ~multiply(sk_c6,sk_c6)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ1_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f490,f87])).
% 0.12/5.42 fof(f526,plain,(
% 0.12/5.42 sk_c7=multiply(inverse(sk_c6),sk_c6)|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f494,f201])).
% 0.12/5.42 fof(f528,plain,(
% 0.12/5.42 sk_c7=identity|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f42,f526])).
% 0.12/5.42 fof(f531,plain,(
% 0.12/5.42 ![X0]: (multiply(sk_c7,X0)=X0|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f528,f501])).
% 0.12/5.42 fof(f532,plain,(
% 0.12/5.42 ![X0]: (X0=multiply(inverse(sk_c7),X0)|~sQ8_spl|~sQ7_spl|~sQ0_spl)),
% 0.12/5.42 inference(backward_demodulation,[status(thm)],[f528,f216])).
% 0.12/5.42 fof(f535,plain,(
% 0.12/5.42 $false|sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/5.42 inference(forward_subsumption_resolution,[status(thm)],[f495,f514])).
% 0.12/5.42 fof(f536,plain,(
% 0.12/5.42 sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f535])).
% 0.12/5.42 fof(f537,plain,(
% 0.12/5.42 ![X0]: (~multiply(sk_c6,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl)),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f490,f173])).
% 0.12/5.42 fof(f538,plain,(
% 0.12/5.42 ![X0]: (~multiply(sk_c6,multiply(X0,sk_c6))=sk_c7|~inverse(X0)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl)),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f490,f537])).
% 0.12/5.42 fof(f539,plain,(
% 0.12/5.42 ![X0]: (~multiply(sk_c6,multiply(X0,sk_c6))=sk_c7|~inverse(X0)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ14_spl)),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f490,f538])).
% 0.12/5.42 fof(f571,plain,(
% 0.12/5.42 ~multiply(sk_c6,sk_c6)=sk_c7|~inverse(sk_c2)=sk_c6|~sQ14_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f496,f539])).
% 0.12/5.42 fof(f572,plain,(
% 0.12/5.42 ~multiply(sk_c6,sk_c6)=sk_c7|~inverse(sk_c7)=sk_c6|~sQ14_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f531,f539])).
% 0.12/5.42 fof(f573,plain,(
% 0.12/5.42 ~multiply(sk_c6,sk_c7)=sk_c7|~inverse(sk_c1)=sk_c6|~sQ14_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f491,f539])).
% 0.12/5.42 fof(f575,plain,(
% 0.12/5.42 ~multiply(sk_c6,sk_c6)=sk_c7|~inverse(inverse(sk_c7))=sk_c6|~sQ14_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/5.42 inference(paramodulation,[status(thm)],[f532,f539])).
% 0.12/5.42 fof(f578,definition,(
% 0.12/5.42 sQ22_spl <=> (multiply(sk_c6,sk_c6)=sk_c7)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f580,plain,(
% 0.12/5.42 ~multiply(sk_c6,sk_c6)=sk_c7|sQ22_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f578])).
% 0.12/5.42 fof(f581,definition,(
% 0.12/5.42 sQ23_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f583,plain,(
% 0.12/5.42 ~inverse(sk_c2)=sk_c6|sQ23_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f581])).
% 0.12/5.42 fof(f584,plain,(
% 0.12/5.42 ~sQ22_spl|~sQ23_spl|~sQ14_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f571,f578,f581,f160,f82,f118,f109,f136])).
% 0.12/5.42 fof(f585,definition,(
% 0.12/5.42 sQ24_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f588,plain,(
% 0.12/5.42 ~sQ22_spl|~sQ24_spl|~sQ14_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f572,f578,f585,f160,f118,f109,f82])).
% 0.12/5.42 fof(f589,definition,(
% 0.12/5.42 sQ25_spl <=> (multiply(sk_c6,sk_c7)=sk_c7)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f592,definition,(
% 0.12/5.42 sQ26_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f594,plain,(
% 0.12/5.42 ~inverse(sk_c1)=sk_c6|sQ26_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f592])).
% 0.12/5.42 fof(f595,plain,(
% 0.12/5.42 ~sQ25_spl|~sQ26_spl|~sQ14_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f573,f589,f592,f160,f82,f118,f109])).
% 0.12/5.42 fof(f600,definition,(
% 0.12/5.42 sQ28_spl <=> (inverse(inverse(sk_c7))=sk_c6)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f603,plain,(
% 0.12/5.42 ~sQ22_spl|~sQ28_spl|~sQ14_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f575,f578,f600,f160,f118,f109,f82])).
% 0.12/5.42 fof(f609,plain,(
% 0.12/5.42 ~sk_c7=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ22_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f495,f580])).
% 0.12/5.42 fof(f610,plain,(
% 0.12/5.42 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ22_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f609])).
% 0.12/5.42 fof(f611,plain,(
% 0.12/5.42 ~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ9_spl|sQ22_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f610])).
% 0.12/5.42 fof(f612,plain,(
% 0.12/5.42 ~sk_c6=sk_c6|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ26_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f497,f594])).
% 0.12/5.42 fof(f613,plain,(
% 0.12/5.42 $false|~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ26_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f612])).
% 0.12/5.42 fof(f614,plain,(
% 0.12/5.42 ~sQ0_spl|~sQ7_spl|~sQ8_spl|sQ26_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f613])).
% 0.12/5.42 fof(f615,plain,(
% 0.12/5.42 ~sk_c6=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|sQ23_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f493,f583])).
% 0.12/5.42 fof(f616,plain,(
% 0.12/5.42 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|sQ23_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f615])).
% 0.12/5.42 fof(f617,plain,(
% 0.12/5.42 ~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ11_spl|sQ23_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f616])).
% 0.12/5.42 fof(f618,plain,(
% 0.12/5.42 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl)),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f490,f155])).
% 0.12/5.42 fof(f619,plain,(
% 0.12/5.42 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ12_spl)),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f490,f618])).
% 0.12/5.42 fof(f621,plain,(
% 0.12/5.42 ~inverse(sk_c1)=sk_c6|~sQ12_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/5.42 inference(resolution,[status(thm)],[f619,f491])).
% 0.12/5.42 fof(f630,plain,(
% 0.12/5.42 ~sQ26_spl|~sQ12_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f621,f592,f154,f82,f118,f109])).
% 0.12/5.42 fof(f637,plain,(
% 0.12/5.42 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ15_spl)),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f490,f164])).
% 0.12/5.42 fof(f662,plain,(
% 0.12/5.42 ~inverse(sk_c2)=sk_c6|~sQ15_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.12/5.42 inference(resolution,[status(thm)],[f637,f496])).
% 0.12/5.42 fof(f667,plain,(
% 0.12/5.42 ~sQ23_spl|~sQ15_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f662,f581,f163,f82,f118,f109,f136])).
% 0.12/5.42 fof(f668,definition,(
% 0.12/5.42 sQ32_spl <=> (sk_c6=sk_c6)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f670,plain,(
% 0.12/5.42 ~sk_c6=sk_c6|sQ32_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f668])).
% 0.12/5.42 fof(f673,plain,(
% 0.12/5.42 $false|sQ32_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f670])).
% 0.12/5.42 fof(f674,plain,(
% 0.12/5.42 sQ32_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f673])).
% 0.12/5.42 fof(f680,plain,(
% 0.12/5.42 ![X0]: (~multiply(X0,sk_c3)=sk_c7|~inverse(X0)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl)),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f406,f155])).
% 0.12/5.42 fof(f681,plain,(
% 0.12/5.42 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c8|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl)),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f407,f680])).
% 0.12/5.42 fof(f682,plain,(
% 0.12/5.42 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c3|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl)),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f406,f681])).
% 0.12/5.42 fof(f691,definition,(
% 0.12/5.42 sQ33_spl <=> (sk_c3=sk_c3)),
% 0.12/5.42 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.12/5.42 fof(f693,plain,(
% 0.12/5.42 ~sk_c3=sk_c3|sQ33_spl),
% 0.12/5.42 inference(component_clause,[status(thm)],[f691])).
% 0.12/5.42 fof(f698,plain,(
% 0.12/5.42 $false|sQ33_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f693])).
% 0.12/5.42 fof(f699,plain,(
% 0.12/5.42 sQ33_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f698])).
% 0.12/5.42 fof(f724,plain,(
% 0.12/5.42 inverse(sk_c3)=sk_c3|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f406,f98])).
% 0.12/5.42 fof(f730,plain,(
% 0.12/5.42 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl)),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f398,f42])).
% 0.12/5.42 fof(f731,plain,(
% 0.12/5.42 ~inverse(inverse(sk_c3))=sk_c3|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl),
% 0.12/5.42 inference(resolution,[status(thm)],[f730,f682])).
% 0.12/5.42 fof(f737,plain,(
% 0.12/5.42 ~inverse(sk_c3)=sk_c3|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f724,f731])).
% 0.12/5.42 fof(f738,plain,(
% 0.12/5.42 ~sk_c3=sk_c3|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f724,f737])).
% 0.12/5.42 fof(f739,plain,(
% 0.12/5.42 $false|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f738])).
% 0.12/5.42 fof(f740,plain,(
% 0.12/5.42 ~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ12_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f739])).
% 0.12/5.42 fof(f757,plain,(
% 0.12/5.42 ~sQ19_spl|~sQ8_spl|~sQ13_spl|~sQ7_spl),
% 0.12/5.42 inference(split_clause,[status(thm)],[f175,f271,f118,f157,f109])).
% 0.12/5.42 fof(f761,plain,(
% 0.12/5.42 ~sk_c3=sk_c6|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ21_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f397,f473])).
% 0.12/5.42 fof(f762,plain,(
% 0.12/5.42 ~sk_c3=sk_c3|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ21_spl),
% 0.12/5.42 inference(forward_demodulation,[status(thm)],[f405,f761])).
% 0.12/5.42 fof(f763,plain,(
% 0.12/5.42 $false|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ21_spl),
% 0.12/5.42 inference(trivial_equality_resolution,[status(thm)],[f762])).
% 0.12/5.42 fof(f764,plain,(
% 0.12/5.42 ~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|sQ21_spl),
% 0.12/5.42 inference(contradiction_clause,[status(thm)],[f763])).
% 0.12/5.42 fof(f765,plain,(
% 0.12/5.42 $false),
% 0.12/5.42 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,f140,f141,f142,f143,f144,f149,f150,f151,f152,f153,f166,f172,f180,f194,f195,f279,f302,f421,f427,f474,f536,f584,f588,f595,f603,f611,f614,f617,f630,f667,f674,f699,f740,f757,f764])).
% 0.12/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.43 % Elapsed time: 0.065097 seconds
% 0.12/5.43 % CPU time: 0.220688 seconds
% 0.12/5.43 % Total memory used: 104.848 MB
% 0.12/5.43 % Net memory used: 104.639 MB
%------------------------------------------------------------------------------