%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP369-1 : 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 : n026.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 12:36:31 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP369-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:12:52 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f1,axiom,(
% 0.12/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f3,axiom,(
% 0.12/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c7,sk_c9) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f7,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c7,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f8,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c7,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f9,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c7,sk_c9) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f10,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c7,sk_c9) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f11,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c9,sk_c2) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f12,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c9,sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f13,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c9,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f14,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c9,sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f15,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c9,sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f16,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c9,sk_c2) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f17,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c9,sk_c2) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f18,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c2| inverse(sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f19,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c2| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f20,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f21,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c2| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f22,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f23,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c2| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f24,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c1,sk_c9) = sk_c2| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f25,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f26,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f27,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f28,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f29,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f30,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f31,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f32,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f33,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f34,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f35,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f36,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f37,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f38,negated_conjecture,(
% 0.12/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f39,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c7| inverse(sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f40,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c7| multiply(sk_c4,sk_c8) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f41,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f42,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f43,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f44,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c7| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f45,negated_conjecture,(
% 0.12/0.40 ( inverse(sk_c3) = sk_c7| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f46,negated_conjecture,(
% 0.12/0.40 (![X4,X5,X6,X1,X2,X3]: (( multiply(sk_c7,sk_c9) != sk_c8| multiply(sk_c9,X4) != sk_c8| multiply(X5,sk_c9) != X4| inverse(X5) != sk_c9| multiply(X6,sk_c7) != sk_c9| inverse(X6) != sk_c7| inverse(sk_c8) != sk_c7| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8| multiply(X3,sk_c9) != sk_c7| inverse(X3) != sk_c9 ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f47,plain,(
% 0.12/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.40 fof(f48,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.40 fof(f49,plain,(
% 0.12/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.40 fof(f50,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c9)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.40 fof(f53,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.40 fof(f54,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.40 fof(f55,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c9)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.40 fof(f56,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c9)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.40 fof(f57,plain,(
% 0.12/0.40 multiply(sk_c9,sk_c2)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.40 fof(f58,plain,(
% 0.12/0.40 multiply(sk_c9,sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.40 fof(f59,plain,(
% 0.12/0.40 multiply(sk_c9,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.40 fof(f60,plain,(
% 0.12/0.40 multiply(sk_c9,sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.40 fof(f61,plain,(
% 0.12/0.40 multiply(sk_c9,sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.40 fof(f62,plain,(
% 0.12/0.40 multiply(sk_c9,sk_c2)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.40 fof(f63,plain,(
% 0.12/0.40 multiply(sk_c9,sk_c2)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.40 fof(f64,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c2|inverse(sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.40 fof(f65,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c2|multiply(sk_c4,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.12/0.40 fof(f66,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.12/0.40 fof(f67,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c2|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.40 fof(f68,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.40 fof(f69,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c2|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.12/0.40 fof(f70,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c2|inverse(sk_c6)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.40 fof(f71,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.40 fof(f72,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.40 fof(f73,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.40 fof(f74,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.40 fof(f75,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.12/0.40 fof(f76,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.40 fof(f77,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.40 fof(f78,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.40 fof(f79,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c4,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.12/0.40 fof(f80,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c4)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.40 fof(f81,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.40 fof(f82,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.40 fof(f83,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.40 fof(f84,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.40 fof(f85,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c7|inverse(sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.12/0.40 fof(f86,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c7|multiply(sk_c4,sk_c8)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.40 fof(f87,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.12/0.40 fof(f88,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/0.40 fof(f89,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.12/0.40 fof(f90,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c7|multiply(sk_c6,sk_c9)=sk_c7),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f44])).
% 0.12/0.40 fof(f91,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c7|inverse(sk_c6)=sk_c9),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.12/0.40 fof(f92,plain,(
% 0.12/0.40 ![X3]: (((![X2]: (((![X1]: ((((![X6]: (((![X5]: ((![X4]: ((~multiply(sk_c7,sk_c9)=sk_c8|~multiply(sk_c9,X4)=sk_c8)|~multiply(X5,sk_c9)=X4))|~inverse(X5)=sk_c9))|~multiply(X6,sk_c7)=sk_c9)|~inverse(X6)=sk_c7))|~inverse(sk_c8)=sk_c7)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8))|~multiply(X3,sk_c9)=sk_c7)|~inverse(X3)=sk_c9)),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f46])).
% 0.12/0.40 fof(f93,plain,(
% 0.12/0.40 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c7,sk_c9)=sk_c8|~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~multiply(X2,sk_c7)=sk_c9|~inverse(X2)=sk_c7|~inverse(sk_c8)=sk_c7|~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8|~multiply(X5,sk_c9)=sk_c7|~inverse(X5)=sk_c9)),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f92])).
% 0.12/0.40 fof(f94,definition,(
% 0.12/0.40 sQ0_spl <=> (multiply(sk_c7,sk_c9)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f95,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c9)=sk_c8|~sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f94])).
% 0.12/0.40 fof(f96,plain,(
% 0.12/0.40 ~multiply(sk_c7,sk_c9)=sk_c8|sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f94])).
% 0.12/0.40 fof(f97,definition,(
% 0.12/0.40 sQ1_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f98,plain,(
% 0.12/0.40 inverse(sk_c8)=sk_c7|~sQ1_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.12/0.40 fof(f99,plain,(
% 0.12/0.40 ~inverse(sk_c8)=sk_c7|sQ1_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.12/0.40 fof(f100,plain,(
% 0.12/0.40 sQ0_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.12/0.40 fof(f101,definition,(
% 0.12/0.40 sQ2_spl <=> (multiply(sk_c4,sk_c8)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f102,plain,(
% 0.12/0.40 multiply(sk_c4,sk_c8)=sk_c7|~sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.12/0.40 fof(f105,definition,(
% 0.12/0.40 sQ3_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f106,plain,(
% 0.12/0.40 inverse(sk_c4)=sk_c8|~sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.12/0.40 fof(f109,definition,(
% 0.12/0.40 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f110,plain,(
% 0.12/0.40 multiply(sk_c5,sk_c8)=sk_c9|~sQ4_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.12/0.40 fof(f112,plain,(
% 0.12/0.40 sQ0_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.12/0.40 fof(f113,definition,(
% 0.12/0.40 sQ5_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f114,plain,(
% 0.12/0.40 inverse(sk_c5)=sk_c8|~sQ5_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f113])).
% 0.12/0.40 fof(f116,plain,(
% 0.12/0.40 sQ0_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f54,f94,f113])).
% 0.12/0.40 fof(f117,definition,(
% 0.12/0.40 sQ6_spl <=> (multiply(sk_c6,sk_c9)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f118,plain,(
% 0.12/0.40 multiply(sk_c6,sk_c9)=sk_c7|~sQ6_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.12/0.40 fof(f120,plain,(
% 0.12/0.40 sQ0_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f55,f94,f117])).
% 0.12/0.40 fof(f121,definition,(
% 0.12/0.40 sQ7_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f122,plain,(
% 0.12/0.40 inverse(sk_c6)=sk_c9|~sQ7_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.12/0.40 fof(f124,plain,(
% 0.12/0.40 sQ0_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f56,f94,f121])).
% 0.12/0.40 fof(f125,definition,(
% 0.12/0.40 sQ8_spl <=> (multiply(sk_c9,sk_c2)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f126,plain,(
% 0.12/0.40 multiply(sk_c9,sk_c2)=sk_c8|~sQ8_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f125])).
% 0.12/0.40 fof(f128,plain,(
% 0.12/0.40 sQ8_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.12/0.40 fof(f129,plain,(
% 0.12/0.40 sQ8_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.12/0.40 fof(f130,plain,(
% 0.12/0.40 sQ8_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.12/0.40 fof(f131,plain,(
% 0.12/0.40 sQ8_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.12/0.40 fof(f132,plain,(
% 0.12/0.40 sQ8_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.12/0.40 fof(f133,plain,(
% 0.12/0.40 sQ8_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.12/0.40 fof(f134,plain,(
% 0.12/0.40 sQ8_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.12/0.40 fof(f135,definition,(
% 0.12/0.40 sQ9_spl <=> (multiply(sk_c1,sk_c9)=sk_c2)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f136,plain,(
% 0.12/0.40 multiply(sk_c1,sk_c9)=sk_c2|~sQ9_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f135])).
% 0.12/0.40 fof(f138,plain,(
% 0.12/0.40 sQ9_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f64,f135,f97])).
% 0.12/0.40 fof(f139,plain,(
% 0.12/0.40 sQ9_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f65,f135,f101])).
% 0.12/0.40 fof(f140,plain,(
% 0.12/0.40 sQ9_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.12/0.40 fof(f141,plain,(
% 0.12/0.40 sQ9_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.12/0.40 fof(f142,plain,(
% 0.12/0.40 sQ9_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.12/0.40 fof(f143,plain,(
% 0.12/0.40 sQ9_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.12/0.40 fof(f144,plain,(
% 0.12/0.40 sQ9_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.12/0.40 fof(f145,definition,(
% 0.12/0.40 sQ10_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f146,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c9|~sQ10_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f145])).
% 0.12/0.40 fof(f148,plain,(
% 0.12/0.40 sQ10_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f71,f145,f97])).
% 0.12/0.40 fof(f149,plain,(
% 0.12/0.40 sQ10_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f72,f145,f101])).
% 0.12/0.40 fof(f150,plain,(
% 0.12/0.40 sQ10_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.12/0.40 fof(f151,plain,(
% 0.12/0.40 sQ10_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.12/0.40 fof(f152,plain,(
% 0.12/0.40 sQ10_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.12/0.40 fof(f153,plain,(
% 0.12/0.40 sQ10_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.12/0.40 fof(f154,plain,(
% 0.12/0.40 sQ10_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.12/0.40 fof(f155,definition,(
% 0.12/0.40 sQ11_spl <=> (multiply(sk_c3,sk_c7)=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f156,plain,(
% 0.12/0.40 multiply(sk_c3,sk_c7)=sk_c9|~sQ11_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f155])).
% 0.12/0.40 fof(f158,plain,(
% 0.12/0.40 sQ11_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f78,f155,f97])).
% 0.12/0.40 fof(f159,plain,(
% 0.12/0.40 sQ11_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f79,f155,f101])).
% 0.12/0.40 fof(f160,plain,(
% 0.12/0.40 sQ11_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f80,f155,f105])).
% 0.12/0.40 fof(f161,plain,(
% 0.12/0.40 sQ11_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f81,f155,f109])).
% 0.12/0.40 fof(f162,plain,(
% 0.12/0.40 sQ11_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f82,f155,f113])).
% 0.12/0.40 fof(f163,plain,(
% 0.12/0.40 sQ11_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f83,f155,f117])).
% 0.12/0.40 fof(f164,plain,(
% 0.12/0.40 sQ11_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f84,f155,f121])).
% 0.12/0.40 fof(f165,definition,(
% 0.12/0.40 sQ12_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f166,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c7|~sQ12_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f165])).
% 0.12/0.40 fof(f168,plain,(
% 0.12/0.40 sQ12_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f85,f165,f97])).
% 0.12/0.40 fof(f169,plain,(
% 0.12/0.40 sQ12_spl|sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f86,f165,f101])).
% 0.12/0.40 fof(f170,plain,(
% 0.12/0.40 sQ12_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f87,f165,f105])).
% 0.12/0.40 fof(f171,plain,(
% 0.12/0.40 sQ12_spl|sQ4_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f88,f165,f109])).
% 0.12/0.40 fof(f172,plain,(
% 0.12/0.40 sQ12_spl|sQ5_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f89,f165,f113])).
% 0.12/0.40 fof(f173,plain,(
% 0.12/0.40 sQ12_spl|sQ6_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f90,f165,f117])).
% 0.12/0.40 fof(f174,plain,(
% 0.12/0.40 sQ12_spl|sQ7_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f91,f165,f121])).
% 0.12/0.40 fof(f175,definition,(
% 0.12/0.40 ![X0,X1]: (sQ13_spl <=> (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f176,plain,(
% 0.12/0.40 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~sQ13_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f175])).
% 0.12/0.40 fof(f178,definition,(
% 0.12/0.40 ![X2]: (sQ14_spl <=> (~multiply(X2,sk_c7)=sk_c9|~inverse(X2)=sk_c7))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f179,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c7)=sk_c9|~inverse(X0)=sk_c7|~sQ14_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f178])).
% 0.12/0.40 fof(f181,definition,(
% 0.12/0.40 ![X3]: (sQ15_spl <=> (~multiply(X3,sk_c8)=sk_c7|~inverse(X3)=sk_c8))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f182,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ15_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f181])).
% 0.12/0.40 fof(f184,definition,(
% 0.12/0.40 ![X4]: (sQ16_spl <=> (~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f185,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~sQ16_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f184])).
% 0.12/0.40 fof(f187,definition,(
% 0.12/0.40 ![X5]: (sQ17_spl <=> (~multiply(X5,sk_c9)=sk_c7|~inverse(X5)=sk_c9))),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f188,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c9)=sk_c7|~inverse(X0)=sk_c9|~sQ17_spl)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f187])).
% 0.12/0.40 fof(f190,plain,(
% 0.12/0.40 ~sQ0_spl|sQ13_spl|sQ14_spl|~sQ1_spl|sQ15_spl|sQ16_spl|sQ17_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f93,f94,f175,f178,f97,f181,f184,f187])).
% 0.12/0.40 fof(f191,plain,(
% 0.12/0.40 ~inverse(sk_c6)=sk_c9|~sQ17_spl|~sQ6_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f188,f118])).
% 0.12/0.40 fof(f194,plain,(
% 0.12/0.40 ~sk_c2=sk_c7|~inverse(sk_c1)=sk_c9|~sQ17_spl|~sQ9_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f136,f188])).
% 0.12/0.40 fof(f195,plain,(
% 0.12/0.40 ~sk_c9=sk_c9|~sQ7_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f122,f191])).
% 0.12/0.40 fof(f196,plain,(
% 0.12/0.40 $false|~sQ7_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f195])).
% 0.12/0.40 fof(f197,plain,(
% 0.12/0.40 ~sQ7_spl|~sQ17_spl|~sQ6_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f196])).
% 0.12/0.40 fof(f198,plain,(
% 0.12/0.40 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~sQ13_spl)),
% 0.12/0.40 inference(destructive_equality_resolution,[status(thm)],[f176])).
% 0.12/0.40 fof(f199,plain,(
% 0.12/0.40 ~inverse(sk_c5)=sk_c8|~sQ16_spl|~sQ4_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f185,f110])).
% 0.12/0.40 fof(f202,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|~sQ5_spl|~sQ16_spl|~sQ4_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f114,f199])).
% 0.12/0.40 fof(f203,plain,(
% 0.12/0.40 $false|~sQ5_spl|~sQ16_spl|~sQ4_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f202])).
% 0.12/0.40 fof(f204,plain,(
% 0.12/0.40 ~sQ5_spl|~sQ16_spl|~sQ4_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f203])).
% 0.12/0.40 fof(f215,plain,(
% 0.12/0.40 ~inverse(sk_c4)=sk_c8|~sQ15_spl|~sQ2_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f182,f102])).
% 0.12/0.40 fof(f219,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|~sQ3_spl|~sQ15_spl|~sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f106,f215])).
% 0.12/0.40 fof(f220,plain,(
% 0.12/0.40 $false|~sQ3_spl|~sQ15_spl|~sQ2_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f219])).
% 0.12/0.40 fof(f221,plain,(
% 0.12/0.40 ~sQ3_spl|~sQ15_spl|~sQ2_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f220])).
% 0.12/0.40 fof(f224,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c3)=identity|~sQ12_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f166,f48])).
% 0.12/0.40 fof(f225,plain,(
% 0.12/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.12/0.40 fof(f226,plain,(
% 0.12/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f47,f225])).
% 0.12/0.40 fof(f235,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f47,f226])).
% 0.12/0.40 fof(f244,plain,(
% 0.12/0.40 sk_c9=multiply(inverse(sk_c1),sk_c2)|~sQ9_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f136,f226])).
% 0.12/0.40 fof(f245,plain,(
% 0.12/0.40 sk_c7=multiply(inverse(sk_c3),sk_c9)|~sQ11_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f156,f226])).
% 0.12/0.40 fof(f247,plain,(
% 0.12/0.40 sk_c9=multiply(sk_c9,sk_c2)|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f146,f244])).
% 0.12/0.40 fof(f248,plain,(
% 0.12/0.40 sk_c9=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f126,f247])).
% 0.12/0.40 fof(f249,plain,(
% 0.12/0.40 sk_c7=multiply(sk_c7,sk_c9)|~sQ12_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f166,f245])).
% 0.12/0.40 fof(f250,plain,(
% 0.12/0.40 sk_c7=sk_c8|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f95,f249])).
% 0.12/0.40 fof(f254,plain,(
% 0.12/0.40 multiply(sk_c7,sk_c8)=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f248,f95])).
% 0.12/0.40 fof(f257,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c2)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f248,f126])).
% 0.12/0.40 fof(f260,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c8|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f248,f146])).
% 0.12/0.40 fof(f261,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c3)=identity|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f250,f224])).
% 0.12/0.40 fof(f263,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c8|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f250,f166])).
% 0.12/0.40 fof(f277,plain,(
% 0.12/0.40 multiply(sk_c8,sk_c8)=sk_c8|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f250,f254])).
% 0.12/0.40 fof(f278,plain,(
% 0.12/0.40 sk_c8=multiply(inverse(sk_c8),sk_c8)|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f277,f226])).
% 0.12/0.40 fof(f280,plain,(
% 0.12/0.40 sk_c8=identity|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f48,f278])).
% 0.12/0.40 fof(f283,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f280,f48])).
% 0.12/0.40 fof(f284,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f280,f47])).
% 0.12/0.40 fof(f285,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c7|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f250,f179])).
% 0.12/0.40 fof(f286,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c7|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f248,f285])).
% 0.12/0.40 fof(f287,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ14_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f250,f286])).
% 0.12/0.40 fof(f289,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|~inverse(sk_c8)=sk_c8|~sQ14_spl|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f277,f287])).
% 0.12/0.40 fof(f291,definition,(
% 0.12/0.40 sQ18_spl <=> (sk_c8=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f293,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|sQ18_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f291])).
% 0.12/0.40 fof(f294,definition,(
% 0.12/0.40 sQ19_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f296,plain,(
% 0.12/0.40 ~inverse(sk_c8)=sk_c8|sQ19_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f294])).
% 0.12/0.40 fof(f297,plain,(
% 0.12/0.40 ~sQ18_spl|~sQ19_spl|~sQ14_spl|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f289,f291,f294,f178,f165,f155,f125,f145,f135,f94])).
% 0.12/0.40 fof(f298,plain,(
% 0.12/0.40 $false|sQ18_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f293])).
% 0.12/0.40 fof(f299,plain,(
% 0.12/0.40 sQ18_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f298])).
% 0.12/0.40 fof(f312,plain,(
% 0.12/0.40 inverse(sk_c8)=sk_c8|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f250,f98])).
% 0.12/0.40 fof(f320,plain,(
% 0.12/0.40 $false|sQ19_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ1_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f312,f296])).
% 0.12/0.40 fof(f321,plain,(
% 0.12/0.40 sQ19_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ1_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f320])).
% 0.12/0.40 fof(f322,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ15_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f250,f182])).
% 0.12/0.40 fof(f340,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ16_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f248,f185])).
% 0.12/0.40 fof(f342,definition,(
% 0.12/0.40 sQ23_spl <=> (sk_c9=sk_c9)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f344,plain,(
% 0.12/0.40 ~sk_c9=sk_c9|sQ23_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f342])).
% 0.12/0.40 fof(f347,plain,(
% 0.12/0.40 ~sk_c8=sk_c9|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ23_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f248,f344])).
% 0.12/0.40 fof(f348,plain,(
% 0.12/0.40 ~sk_c8=sk_c8|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ23_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f248,f347])).
% 0.12/0.40 fof(f349,plain,(
% 0.12/0.40 $false|~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ23_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f348])).
% 0.12/0.40 fof(f350,plain,(
% 0.12/0.40 ~sQ8_spl|~sQ10_spl|~sQ9_spl|sQ23_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f349])).
% 0.12/0.40 fof(f362,plain,(
% 0.12/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f372,f284])).
% 0.12/0.40 fof(f364,plain,(
% 0.12/0.40 sk_c2=identity|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f372,f280])).
% 0.12/0.40 fof(f365,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c2|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f372,f263])).
% 0.12/0.40 fof(f366,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c2|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f372,f260])).
% 0.12/0.40 fof(f368,plain,(
% 0.12/0.40 sk_c7=sk_c2|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f372,f250])).
% 0.12/0.40 fof(f372,plain,(
% 0.12/0.40 sk_c2=sk_c8|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f284,f257])).
% 0.12/0.40 fof(f381,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c2,multiply(sk_c1,X0))|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl)),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f366,f226])).
% 0.12/0.40 fof(f382,plain,(
% 0.12/0.40 ![X0]: (X0=multiply(sk_c1,X0)|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f362,f381])).
% 0.12/0.40 fof(f404,plain,(
% 0.12/0.40 multiply(sk_c2,sk_c3)=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f372,f261])).
% 0.12/0.40 fof(f405,plain,(
% 0.12/0.40 sk_c2=sk_c3|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f406,f364])).
% 0.12/0.40 fof(f406,plain,(
% 0.12/0.40 sk_c3=identity|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f362,f404])).
% 0.12/0.40 fof(f410,plain,(
% 0.12/0.40 inverse(sk_c1)=sk_c3|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f405,f366])).
% 0.12/0.40 fof(f411,plain,(
% 0.12/0.40 inverse(sk_c3)=sk_c3|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f405,f365])).
% 0.12/0.40 fof(f415,plain,(
% 0.12/0.40 sk_c7=sk_c3|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f405,f368])).
% 0.12/0.40 fof(f416,plain,(
% 0.12/0.40 sk_c3=sk_c8|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f405,f372])).
% 0.12/0.40 fof(f426,plain,(
% 0.12/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f416,f283])).
% 0.12/0.40 fof(f432,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c3)=sk_c8|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ15_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f416,f322])).
% 0.12/0.40 fof(f433,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c8|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ15_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f416,f432])).
% 0.12/0.40 fof(f434,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c3|~sQ10_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ15_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f416,f433])).
% 0.12/0.40 fof(f437,plain,(
% 0.12/0.40 ~inverse(sk_c1)=sk_c3|~sQ15_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f434,f382])).
% 0.12/0.40 fof(f446,plain,(
% 0.12/0.40 ~sk_c3=sk_c3|~sQ15_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f410,f437])).
% 0.12/0.40 fof(f447,plain,(
% 0.12/0.40 $false|~sQ15_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(trivial_equality_resolution,[status(thm)],[f446])).
% 0.12/0.40 fof(f448,plain,(
% 0.12/0.40 ~sQ15_spl|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f447])).
% 0.12/0.40 fof(f449,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c3)=sk_c8|~inverse(X0)=sk_c8|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ16_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f416,f340])).
% 0.12/0.40 fof(f450,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c8|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ16_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f416,f449])).
% 0.12/0.40 fof(f451,plain,(
% 0.12/0.40 ![X0]: (~multiply(X0,sk_c3)=sk_c3|~inverse(X0)=sk_c3|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ16_spl)),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f416,f450])).
% 0.12/0.40 fof(f460,plain,(
% 0.12/0.40 ~inverse(inverse(sk_c3))=sk_c3|~sQ16_spl|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f451,f426])).
% 0.12/0.41 fof(f469,plain,(
% 0.12/0.41 ~inverse(sk_c3)=sk_c3|~sQ16_spl|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f411,f460])).
% 0.12/0.41 fof(f470,plain,(
% 0.12/0.41 ~sk_c3=sk_c3|~sQ16_spl|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f411,f469])).
% 0.12/0.41 fof(f471,plain,(
% 0.12/0.41 $false|~sQ16_spl|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f470])).
% 0.12/0.41 fof(f472,plain,(
% 0.12/0.41 ~sQ16_spl|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f471])).
% 0.12/0.41 fof(f483,definition,(
% 0.12/0.41 sQ26_spl <=> (sk_c2=sk_c7)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f485,plain,(
% 0.12/0.41 ~sk_c2=sk_c7|sQ26_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f483])).
% 0.12/0.41 fof(f486,plain,(
% 0.12/0.41 ~sQ26_spl|~sQ10_spl|~sQ17_spl|~sQ9_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f194,f483,f145,f187,f135])).
% 0.12/0.41 fof(f487,plain,(
% 0.12/0.41 ~sk_c3=sk_c7|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ26_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f405,f485])).
% 0.12/0.41 fof(f488,plain,(
% 0.12/0.41 ~sk_c3=sk_c3|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ26_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f415,f487])).
% 0.12/0.41 fof(f489,plain,(
% 0.12/0.41 $false|~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ26_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f488])).
% 0.12/0.41 fof(f490,plain,(
% 0.12/0.41 ~sQ12_spl|~sQ11_spl|~sQ8_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ26_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f489])).
% 0.12/0.41 fof(f495,plain,(
% 0.12/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f226,f235])).
% 0.12/0.41 fof(f518,definition,(
% 0.12/0.41 sQ30_spl <=> (multiply(sk_c9,sk_c8)=sk_c8)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f520,plain,(
% 0.12/0.41 ~multiply(sk_c9,sk_c8)=sk_c8|sQ30_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f518])).
% 0.12/0.41 fof(f539,plain,(
% 0.12/0.41 sk_c8=multiply(inverse(sk_c5),sk_c9)|~sQ4_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f110,f226])).
% 0.12/0.41 fof(f541,plain,(
% 0.12/0.41 sk_c8=multiply(sk_c8,sk_c9)|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f114,f539])).
% 0.12/0.41 fof(f543,plain,(
% 0.12/0.41 sk_c9=multiply(inverse(sk_c6),sk_c7)|~sQ6_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f118,f226])).
% 0.12/0.41 fof(f549,plain,(
% 0.12/0.41 sk_c9=multiply(sk_c9,sk_c7)|~sQ7_spl|~sQ6_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f122,f543])).
% 0.12/0.41 fof(f552,plain,(
% 0.12/0.41 ~multiply(sk_c9,sk_c2)=sk_c8|~inverse(sk_c1)=sk_c9|~sQ13_spl|~sQ9_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f136,f198])).
% 0.12/0.41 fof(f555,plain,(
% 0.12/0.41 ~sQ8_spl|~sQ10_spl|~sQ13_spl|~sQ9_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f552,f125,f145,f175,f135])).
% 0.12/0.41 fof(f601,plain,(
% 0.12/0.41 ~multiply(sk_c9,sk_c8)=sk_c8|~inverse(sk_c8)=sk_c9|~sQ13_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f541,f198])).
% 0.12/0.41 fof(f602,plain,(
% 0.12/0.41 sk_c9=multiply(inverse(sk_c8),sk_c8)|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f541,f226])).
% 0.12/0.41 fof(f605,definition,(
% 0.12/0.41 sQ36_spl <=> (inverse(sk_c8)=sk_c9)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f606,plain,(
% 0.12/0.41 inverse(sk_c8)=sk_c9|~sQ36_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f605])).
% 0.12/0.41 fof(f607,plain,(
% 0.12/0.41 ~inverse(sk_c8)=sk_c9|sQ36_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f605])).
% 0.12/0.41 fof(f608,plain,(
% 0.12/0.41 ~sQ30_spl|~sQ36_spl|~sQ13_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f601,f518,f605,f175,f113,f109])).
% 0.12/0.41 fof(f609,plain,(
% 0.12/0.41 sk_c9=identity|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f48,f602])).
% 0.12/0.41 fof(f610,plain,(
% 0.12/0.41 ~sk_c7=sk_c9|~sQ1_spl|sQ36_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f98,f607])).
% 0.12/0.41 fof(f624,plain,(
% 0.12/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ5_spl|~sQ4_spl)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f609,f48])).
% 0.12/0.41 fof(f626,plain,(
% 0.12/0.41 ![X0]: (multiply(sk_c9,X0)=X0|~sQ5_spl|~sQ4_spl)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f609,f495])).
% 0.12/0.41 fof(f628,plain,(
% 0.12/0.41 ~sk_c8=sk_c8|~sQ5_spl|~sQ4_spl|sQ30_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f626,f520])).
% 0.12/0.41 fof(f637,plain,(
% 0.12/0.41 ~sQ18_spl|~sQ5_spl|~sQ4_spl|sQ30_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f628,f291,f113,f109,f518])).
% 0.12/0.41 fof(f654,plain,(
% 0.12/0.41 multiply(sk_c9,sk_c6)=sk_c9|~sQ5_spl|~sQ4_spl|~sQ7_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f122,f624])).
% 0.12/0.41 fof(f657,plain,(
% 0.12/0.41 sk_c6=sk_c9|~sQ5_spl|~sQ4_spl|~sQ7_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f626,f654])).
% 0.12/0.41 fof(f666,definition,(
% 0.12/0.41 sQ37_spl <=> (sk_c2=sk_c2)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f668,plain,(
% 0.12/0.41 ~sk_c2=sk_c2|sQ37_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f666])).
% 0.12/0.41 fof(f679,plain,(
% 0.12/0.41 $false|sQ37_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f668])).
% 0.12/0.41 fof(f680,plain,(
% 0.12/0.41 sQ37_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f679])).
% 0.12/0.41 fof(f684,plain,(
% 0.12/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ7_spl|~sQ5_spl|~sQ4_spl)),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f657,f626])).
% 0.12/0.41 fof(f686,plain,(
% 0.12/0.41 ~sk_c7=sk_c6|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ1_spl|sQ36_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f657,f610])).
% 0.12/0.41 fof(f687,plain,(
% 0.12/0.41 sk_c6=identity|~sQ7_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f657,f609])).
% 0.12/0.41 fof(f693,plain,(
% 0.12/0.41 inverse(sk_c6)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ7_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f657,f122])).
% 0.12/0.41 fof(f707,plain,(
% 0.12/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ14_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f657,f179])).
% 0.12/0.41 fof(f715,plain,(
% 0.12/0.41 sk_c6=multiply(sk_c9,sk_c7)|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f657,f549])).
% 0.12/0.41 fof(f716,plain,(
% 0.12/0.41 sk_c6=multiply(sk_c6,sk_c7)|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f657,f715])).
% 0.12/0.41 fof(f717,plain,(
% 0.12/0.41 sk_c6=sk_c7|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f684,f716])).
% 0.12/0.41 fof(f718,plain,(
% 0.12/0.41 $false|~sQ1_spl|sQ36_spl|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f717,f686])).
% 0.12/0.41 fof(f719,plain,(
% 0.12/0.41 ~sQ1_spl|sQ36_spl|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f718])).
% 0.12/0.41 fof(f894,plain,(
% 0.12/0.41 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f416,f99])).
% 0.12/0.41 fof(f895,plain,(
% 0.12/0.41 ~sk_c3=sk_c7|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f411,f894])).
% 0.12/0.41 fof(f896,plain,(
% 0.12/0.41 ~sk_c3=sk_c3|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f415,f895])).
% 0.12/0.41 fof(f897,plain,(
% 0.12/0.41 $false|~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f896])).
% 0.12/0.41 fof(f898,plain,(
% 0.12/0.41 ~sQ12_spl|~sQ11_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl|sQ1_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f897])).
% 0.12/0.41 fof(f901,plain,(
% 0.12/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ7_spl|~sQ5_spl|~sQ4_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f687,f495])).
% 0.12/0.41 fof(f908,plain,(
% 0.12/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ7_spl|~sQ5_spl|~sQ4_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f687,f48])).
% 0.12/0.41 fof(f954,plain,(
% 0.12/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ14_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f717,f707])).
% 0.12/0.41 fof(f955,plain,(
% 0.12/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ14_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f717,f954])).
% 0.12/0.41 fof(f956,plain,(
% 0.12/0.41 ~inverse(inverse(sk_c6))=sk_c6|~sQ6_spl|~sQ14_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f955,f908])).
% 0.12/0.41 fof(f961,plain,(
% 0.12/0.41 ~inverse(sk_c6)=sk_c6|~sQ6_spl|~sQ14_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f693,f956])).
% 0.12/0.41 fof(f962,plain,(
% 0.12/0.41 ~sk_c6=sk_c6|~sQ6_spl|~sQ14_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f693,f961])).
% 0.12/0.41 fof(f963,plain,(
% 0.12/0.41 $false|~sQ6_spl|~sQ14_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f962])).
% 0.12/0.41 fof(f964,plain,(
% 0.12/0.41 ~sQ6_spl|~sQ14_spl|~sQ7_spl|~sQ5_spl|~sQ4_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f963])).
% 0.12/0.41 fof(f965,plain,(
% 0.12/0.41 inverse(sk_c8)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ36_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f657,f606])).
% 0.12/0.41 fof(f970,plain,(
% 0.12/0.41 ~multiply(sk_c6,sk_c9)=sk_c8|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f717,f96])).
% 0.12/0.41 fof(f971,plain,(
% 0.12/0.41 ~sk_c9=sk_c8|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f901,f970])).
% 0.12/0.41 fof(f972,plain,(
% 0.12/0.41 ~sk_c6=sk_c8|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ6_spl|sQ0_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f657,f971])).
% 0.12/0.41 fof(f976,plain,(
% 0.12/0.41 multiply(sk_c6,sk_c8)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ36_spl),
% 0.12/0.41 inference(paramodulation,[status(thm)],[f965,f908])).
% 0.12/0.41 fof(f978,plain,(
% 0.12/0.41 sk_c8=sk_c6|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ36_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f901,f976])).
% 0.12/0.41 fof(f979,plain,(
% 0.12/0.41 $false|~sQ6_spl|sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ36_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f978,f972])).
% 0.12/0.41 fof(f980,plain,(
% 0.12/0.41 ~sQ6_spl|sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ7_spl|~sQ36_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f979])).
% 0.12/0.41 fof(f981,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f100,f112,f116,f120,f124,f128,f129,f130,f131,f132,f133,f134,f138,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f154,f158,f159,f160,f161,f162,f163,f164,f168,f169,f170,f171,f172,f173,f174,f190,f197,f204,f221,f297,f299,f321,f350,f448,f472,f486,f490,f555,f608,f637,f680,f719,f898,f964,f980])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.058082 seconds
% 0.12/0.42 % CPU time: 0.214715 seconds
% 0.12/0.42 % Total memory used: 85.974 MB
% 0.12/0.42 % Net memory used: 85.842 MB
%------------------------------------------------------------------------------