%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP473-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Sun Sep 27 07:29:48 AM UTC 2026
% Result : Unsatisfiable 1.29s 0.64s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 3
% Syntax : Number of formulae : 226 ( 226 unt; 0 def)
% Number of atoms : 226 ( 225 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 1129 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(single_axiom,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : divide(divide(inverse(divide(VAR_0,VAR_1)),divide(divide(VAR_2,VAR_3),VAR_0)),divide(VAR_3,VAR_2)) = VAR_1,
file('theBenchmark.p',single_axiom) ).
cnf(c_1,plain,
divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B,
inference(clausify,[status(thm)],[single_axiom]) ).
fof(multiply,axiom,
! [VAR_0,VAR_1] : multiply(VAR_0,VAR_1) = divide(VAR_0,inverse(VAR_1)),
file('theBenchmark.p',multiply) ).
cnf(c_2,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(clausify,[status(thm)],[multiply]) ).
fof(prove_these_axioms_2,axiom,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('theBenchmark.p',prove_these_axioms_2) ).
cnf(c_3,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(clausify,[status(thm)],[prove_these_axioms_2]) ).
cnf(c_606,plain,
multiply(divide(inverse(b2),inverse(b2)),a2) != a2,
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_4,plain,
divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
inference(paramod,[status(thm)],[c_2,c_606]) ).
cnf(c_5,plain,
divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(divide(E,F),D)))),divide(C,B)) = divide(F,E),
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_7,plain,
divide(divide(inverse(divide(divide(A,B),C)),D),divide(divide(divide(B,A),E),inverse(divide(E,D)))) = C,
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_8,plain,
divide(divide(inverse(divide(A,B)),divide(divide(divide(C,D),divide(inverse(divide(E,F)),divide(divide(D,C),E))),A)),F) = B,
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_9,plain,
divide(divide(inverse(A),B),divide(divide(divide(divide(divide(C,D),E),inverse(divide(E,A))),F),inverse(divide(F,B)))) = divide(D,C),
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_607,plain,
divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(divide(E,F),D)))),divide(C,B)) = divide(divide(V6,V7),divide(inverse(V8),divide(divide(V7,V6),divide(inverse(divide(V9,V8)),divide(divide(F,E),V9))))),
inference(paramod,[status(thm)],[c_5,c_5]) ).
cnf(c_608,plain,
divide(F,E) = divide(divide(V6,V7),divide(inverse(V8),divide(divide(V7,V6),divide(inverse(divide(V9,V8)),divide(divide(F,E),V9))))),
inference(paramod,[status(thm)],[c_5,c_607]) ).
cnf(c_10,plain,
divide(divide(A,B),divide(inverse(C),divide(divide(B,A),divide(inverse(divide(D,C)),divide(divide(E,F),D))))) = divide(E,F),
inference(copy,[status(thm)],[c_608]) ).
cnf(c_11,plain,
divide(divide(inverse(divide(divide(divide(divide(A,B),C),inverse(divide(C,D))),E)),F),divide(D,inverse(divide(divide(B,A),F)))) = E,
inference(paramod,[status(thm)],[c_7,c_1]) ).
cnf(c_609,plain,
divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(divide(E,F),D)))),divide(C,B)) = divide(divide(divide(divide(divide(divide(F,E),V6),inverse(divide(V6,V7))),V8),inverse(divide(V8,V9))),divide(inverse(V7),V9)),
inference(paramod,[status(thm)],[c_9,c_5]) ).
cnf(c_610,plain,
divide(F,E) = divide(divide(divide(divide(divide(divide(F,E),V6),inverse(divide(V6,V7))),V8),inverse(divide(V8,V9))),divide(inverse(V7),V9)),
inference(paramod,[status(thm)],[c_5,c_609]) ).
cnf(c_12,plain,
divide(divide(divide(divide(divide(divide(A,B),C),inverse(divide(C,D))),E),inverse(divide(E,F))),divide(inverse(D),F)) = divide(A,B),
inference(copy,[status(thm)],[c_610]) ).
cnf(c_611,plain,
divide(divide(divide(divide(divide(A,B),inverse(divide(B,C))),D),inverse(divide(D,E))),divide(inverse(C),E)) = divide(divide(inverse(divide(F,A)),divide(divide(V6,V7),F)),divide(V7,V6)),
inference(paramod,[status(thm)],[c_1,c_12]) ).
cnf(c_13,plain,
divide(divide(divide(divide(divide(A,B),inverse(divide(B,C))),D),inverse(divide(D,E))),divide(inverse(C),E)) = A,
inference(paramod,[status(thm)],[c_1,c_611]) ).
cnf(c_612,plain,
divide(divide(inverse(A),B),divide(C,inverse(divide(divide(inverse(D),A),B)))) = divide(inverse(divide(E,D)),divide(C,E)),
inference(paramod,[status(thm)],[c_13,c_9]) ).
cnf(c_17,plain,
divide(inverse(divide(A,B)),divide(C,A)) = divide(divide(inverse(D),E),divide(C,inverse(divide(divide(inverse(B),D),E)))),
inference(copy,[status(thm)],[c_612]) ).
cnf(c_25,plain,
divide(inverse(divide(A,B)),divide(C,A)) = divide(inverse(divide(D,B)),divide(C,D)),
inference(paramod,[status(thm)],[c_17,c_17]) ).
cnf(c_613,plain,
divide(inverse(divide(divide(A,B),C)),D) = divide(inverse(divide(E,C)),divide(divide(inverse(divide(F,D)),divide(divide(B,A),F)),E)),
inference(paramod,[status(thm)],[c_1,c_25]) ).
cnf(c_30,plain,
divide(inverse(divide(A,B)),divide(divide(inverse(divide(C,D)),divide(divide(E,F),C)),A)) = divide(inverse(divide(divide(F,E),B)),D),
inference(copy,[status(thm)],[c_613]) ).
cnf(c_614,plain,
divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(divide(inverse(divide(E,F)),divide(V6,E)),D)))),divide(C,B)) = divide(divide(V6,V7),inverse(divide(V7,F))),
inference(paramod,[status(thm)],[c_25,c_5]) ).
cnf(c_31,plain,
divide(divide(A,B),inverse(divide(B,C))) = divide(divide(A,D),inverse(divide(D,C))),
inference(paramod,[status(thm)],[c_5,c_614]) ).
cnf(c_36,plain,
divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(divide(E,B)))) = divide(inverse(divide(F,divide(C,E))),divide(D,F)),
inference(paramod,[status(thm)],[c_25,c_25]) ).
cnf(c_39,plain,
divide(divide(inverse(divide(inverse(divide(A,B)),C)),divide(divide(D,E),inverse(divide(E,B)))),divide(A,D)) = C,
inference(paramod,[status(thm)],[c_31,c_1]) ).
cnf(c_51,plain,
divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,D),E))) = divide(divide(inverse(divide(D,B)),F),inverse(divide(F,E))),
inference(paramod,[status(thm)],[c_25,c_31]) ).
cnf(c_615,plain,
divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),D) = divide(inverse(divide(E,divide(C,F))),divide(divide(inverse(divide(V6,D)),divide(divide(divide(V7,V8),divide(inverse(divide(V9,inverse(divide(F,B)))),divide(divide(V8,V7),V9))),V6)),E)),
inference(paramod,[status(thm)],[c_8,c_36]) ).
cnf(c_616,plain,
divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),D) = divide(inverse(divide(divide(divide(inverse(divide(V9,inverse(divide(F,B)))),divide(divide(V8,V7),V9)),divide(V7,V8)),divide(C,F))),D),
inference(paramod,[status(thm)],[c_30,c_615]) ).
cnf(c_70,plain,
divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),D) = divide(inverse(divide(inverse(divide(E,B)),divide(C,E))),D),
inference(paramod,[status(thm)],[c_1,c_616]) ).
cnf(c_617,plain,
divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(divide(inverse(divide(inverse(divide(E,F)),divide(V6,E))),V7),D)))),divide(C,B)) = divide(V7,inverse(divide(inverse(divide(V8,F)),divide(V6,V8)))),
inference(paramod,[status(thm)],[c_70,c_5]) ).
cnf(c_74,plain,
divide(A,inverse(divide(inverse(divide(B,C)),divide(D,B)))) = divide(A,inverse(divide(inverse(divide(E,C)),divide(D,E)))),
inference(paramod,[status(thm)],[c_5,c_617]) ).
cnf(c_618,plain,
divide(divide(A,B),divide(inverse(C),divide(divide(B,A),divide(inverse(divide(D,C)),divide(E,D))))) = divide(divide(inverse(divide(F,E)),divide(divide(V6,V7),F)),divide(V7,V6)),
inference(paramod,[status(thm)],[c_1,c_10]) ).
cnf(c_85,plain,
divide(divide(A,B),divide(inverse(C),divide(divide(B,A),divide(inverse(divide(D,C)),divide(E,D))))) = E,
inference(paramod,[status(thm)],[c_1,c_618]) ).
cnf(c_105,plain,
divide(divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(divide(D,E),inverse(divide(E,B)))),divide(F,D)) = divide(C,F),
inference(paramod,[status(thm)],[c_25,c_39]) ).
cnf(c_107,plain,
divide(divide(inverse(divide(A,divide(B,C))),divide(divide(D,C),A)),divide(E,D)) = divide(B,E),
inference(paramod,[status(thm)],[c_36,c_39]) ).
cnf(c_112,plain,
divide(divide(inverse(divide(A,divide(B,C))),divide(divide(divide(D,E),C),A)),F) = divide(B,divide(inverse(divide(V6,F)),divide(divide(E,D),V6))),
inference(paramod,[status(thm)],[c_1,c_107]) ).
cnf(c_619,plain,
divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(divide(E,F),D)))),divide(C,B)) = divide(divide(F,V6),divide(inverse(divide(V7,divide(E,V8))),divide(divide(V6,V8),V7))),
inference(paramod,[status(thm)],[c_107,c_5]) ).
cnf(c_620,plain,
divide(F,E) = divide(divide(F,V6),divide(inverse(divide(V7,divide(E,V8))),divide(divide(V6,V8),V7))),
inference(paramod,[status(thm)],[c_5,c_619]) ).
cnf(c_113,plain,
divide(divide(A,B),divide(inverse(divide(C,divide(D,E))),divide(divide(B,E),C))) = divide(A,D),
inference(copy,[status(thm)],[c_620]) ).
cnf(c_621,plain,
divide(divide(inverse(divide(A,B)),divide(divide(C,D),divide(inverse(divide(E,divide(A,F))),divide(divide(D,F),E)))),divide(V6,C)) = divide(B,V6),
inference(paramod,[status(thm)],[c_107,c_107]) ).
cnf(c_130,plain,
divide(divide(inverse(divide(A,B)),divide(C,A)),divide(D,C)) = divide(B,D),
inference(paramod,[status(thm)],[c_113,c_621]) ).
cnf(c_622,plain,
divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(divide(E,F),D)))),divide(C,B)) = divide(divide(F,V6),divide(inverse(divide(V7,E)),divide(V6,V7))),
inference(paramod,[status(thm)],[c_130,c_5]) ).
cnf(c_623,plain,
divide(F,E) = divide(divide(F,V6),divide(inverse(divide(V7,E)),divide(V6,V7))),
inference(paramod,[status(thm)],[c_5,c_622]) ).
cnf(c_138,plain,
divide(divide(A,B),divide(inverse(divide(C,D)),divide(B,C))) = divide(A,D),
inference(copy,[status(thm)],[c_623]) ).
cnf(c_624,plain,
divide(divide(inverse(divide(A,B)),divide(inverse(divide(C,D)),A)),inverse(divide(D,E))) = divide(divide(inverse(divide(divide(F,C),B)),V6),inverse(divide(V6,divide(E,F)))),
inference(paramod,[status(thm)],[c_130,c_51]) ).
cnf(c_157,plain,
divide(divide(inverse(divide(divide(A,B),C)),D),inverse(divide(D,divide(E,A)))) = divide(divide(inverse(divide(F,C)),divide(inverse(divide(B,V6)),F)),inverse(divide(V6,E))),
inference(copy,[status(thm)],[c_624]) ).
cnf(c_178,plain,
divide(divide(inverse(A),divide(B,A)),divide(divide(C,D),B)) = divide(D,C),
inference(paramod,[status(thm)],[c_138,c_5]) ).
cnf(c_189,plain,
divide(divide(inverse(divide(A,B)),divide(C,A)),divide(inverse(divide(D,E)),divide(divide(C,F),D))) = divide(inverse(divide(F,B)),E),
inference(paramod,[status(thm)],[c_25,c_138]) ).
cnf(c_625,plain,
divide(A,divide(inverse(divide(B,C)),divide(divide(D,E),B))) = divide(divide(inverse(divide(inverse(divide(D,F)),A)),divide(divide(E,V6),inverse(divide(V6,F)))),C),
inference(paramod,[status(thm)],[c_39,c_138]) ).
cnf(c_203,plain,
divide(divide(inverse(divide(inverse(divide(A,B)),C)),divide(divide(D,E),inverse(divide(E,B)))),F) = divide(C,divide(inverse(divide(V6,F)),divide(divide(A,D),V6))),
inference(copy,[status(thm)],[c_625]) ).
cnf(c_626,plain,
divide(divide(A,B),divide(inverse(divide(C,D)),divide(divide(B,E),C))) = divide(divide(inverse(divide(F,A)),divide(E,F)),D),
inference(paramod,[status(thm)],[c_130,c_138]) ).
cnf(c_209,plain,
divide(divide(inverse(divide(A,B)),divide(C,A)),D) = divide(divide(B,E),divide(inverse(divide(F,D)),divide(divide(E,C),F))),
inference(copy,[status(thm)],[c_626]) ).
cnf(c_215,plain,
divide(divide(inverse(A),B),divide(C,inverse(divide(divide(inverse(divide(D,E)),divide(A,D)),B)))) = divide(inverse(E),C),
inference(paramod,[status(thm)],[c_13,c_11]) ).
cnf(c_627,plain,
divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(divide(E,F),D)))),divide(C,B)) = divide(divide(divide(F,E),V6),divide(inverse(V7),divide(V6,V7))),
inference(paramod,[status(thm)],[c_178,c_5]) ).
cnf(c_628,plain,
divide(F,E) = divide(divide(divide(F,E),V6),divide(inverse(V7),divide(V6,V7))),
inference(paramod,[status(thm)],[c_5,c_627]) ).
cnf(c_224,plain,
divide(divide(divide(A,B),C),divide(inverse(D),divide(C,D))) = divide(A,B),
inference(copy,[status(thm)],[c_628]) ).
cnf(c_629,plain,
divide(divide(inverse(divide(A,B)),divide(inverse(C),A)),inverse(divide(D,E))) = divide(divide(inverse(divide(divide(F,C),B)),V6),inverse(divide(V6,divide(divide(E,D),F)))),
inference(paramod,[status(thm)],[c_178,c_51]) ).
cnf(c_240,plain,
divide(divide(inverse(divide(divide(A,B),C)),D),inverse(divide(D,divide(divide(E,F),A)))) = divide(divide(inverse(divide(V6,C)),divide(inverse(B),V6)),inverse(divide(F,E))),
inference(copy,[status(thm)],[c_629]) ).
cnf(c_247,plain,
divide(divide(inverse(divide(A,B)),divide(divide(C,D),divide(inverse(E),divide(D,E)))),divide(F,C)) = divide(divide(B,A),F),
inference(paramod,[status(thm)],[c_178,c_107]) ).
cnf(c_263,plain,
divide(divide(inverse(divide(divide(inverse(A),divide(B,A)),C)),divide(D,E)),divide(B,divide(D,E))) = C,
inference(paramod,[status(thm)],[c_224,c_1]) ).
cnf(c_630,plain,
divide(divide(A,B),divide(inverse(C),divide(B,C))) = divide(divide(inverse(divide(D,A)),divide(divide(E,F),D)),divide(F,E)),
inference(paramod,[status(thm)],[c_1,c_224]) ).
cnf(c_264,plain,
divide(divide(A,B),divide(inverse(C),divide(B,C))) = A,
inference(paramod,[status(thm)],[c_1,c_630]) ).
cnf(c_631,plain,
divide(A,divide(inverse(B),divide(divide(C,D),B))) = divide(inverse(divide(E,A)),divide(divide(D,C),E)),
inference(paramod,[status(thm)],[c_1,c_224]) ).
cnf(c_265,plain,
divide(inverse(divide(A,B)),divide(divide(C,D),A)) = divide(B,divide(inverse(E),divide(divide(D,C),E))),
inference(copy,[status(thm)],[c_631]) ).
cnf(c_278,plain,
divide(divide(divide(A,B),inverse(divide(B,C))),divide(inverse(D),divide(inverse(divide(E,C)),D))) = divide(A,E),
inference(paramod,[status(thm)],[c_31,c_224]) ).
cnf(c_282,plain,
divide(divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,D),E))),divide(inverse(F),divide(inverse(divide(V6,E)),F))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_51,c_224]) ).
cnf(c_632,plain,
divide(A,divide(inverse(B),divide(divide(C,D),B))) = divide(inverse(divide(inverse(divide(C,E)),A)),divide(divide(D,F),inverse(divide(F,E)))),
inference(paramod,[status(thm)],[c_39,c_224]) ).
cnf(c_287,plain,
divide(inverse(divide(inverse(divide(A,B)),C)),divide(divide(D,E),inverse(divide(E,B)))) = divide(C,divide(inverse(F),divide(divide(A,D),F))),
inference(copy,[status(thm)],[c_632]) ).
cnf(c_633,plain,
divide(divide(inverse(divide(divide(A,B),C)),D),divide(E,inverse(divide(divide(B,A),D)))) = divide(inverse(F),divide(inverse(divide(C,E)),F)),
inference(paramod,[status(thm)],[c_224,c_11]) ).
cnf(c_301,plain,
divide(inverse(A),divide(inverse(divide(B,C)),A)) = divide(divide(inverse(divide(divide(D,E),B)),F),divide(C,inverse(divide(divide(E,D),F)))),
inference(copy,[status(thm)],[c_633]) ).
cnf(c_308,plain,
divide(divide(inverse(divide(A,B)),C),divide(D,C)) = divide(divide(B,A),D),
inference(paramod,[status(thm)],[c_264,c_247]) ).
cnf(c_309,plain,
divide(divide(A,divide(inverse(B),divide(C,B))),C) = A,
inference(paramod,[status(thm)],[c_308,c_263]) ).
cnf(c_361,plain,
divide(divide(A,divide(inverse(divide(B,divide(C,D))),divide(divide(E,D),B))),divide(inverse(divide(F,E)),divide(C,F))) = A,
inference(paramod,[status(thm)],[c_107,c_264]) ).
cnf(c_366,plain,
divide(A,divide(inverse(divide(B,C)),divide(divide(inverse(D),divide(E,D)),B))) = divide(divide(A,E),C),
inference(paramod,[status(thm)],[c_264,c_138]) ).
cnf(c_399,plain,
divide(divide(inverse(divide(A,B)),divide(inverse(C),A)),D) = inverse(divide(divide(D,C),B)),
inference(paramod,[status(thm)],[c_25,c_309]) ).
cnf(c_634,plain,
divide(A,inverse(divide(inverse(B),divide(C,divide(B,divide(inverse(D),divide(E,D))))))) = divide(A,inverse(divide(inverse(divide(F,E)),divide(C,F)))),
inference(paramod,[status(thm)],[c_309,c_74]) ).
cnf(c_415,plain,
divide(A,inverse(divide(inverse(divide(B,C)),divide(D,B)))) = divide(A,inverse(divide(inverse(E),divide(D,divide(E,divide(inverse(F),divide(C,F))))))),
inference(copy,[status(thm)],[c_634]) ).
cnf(c_635,plain,
divide(A,B) = divide(inverse(divide(inverse(divide(inverse(C),D)),A)),divide(divide(divide(B,C),E),inverse(divide(E,D)))),
inference(paramod,[status(thm)],[c_39,c_309]) ).
cnf(c_419,plain,
divide(inverse(divide(inverse(divide(inverse(A),B)),C)),divide(divide(divide(D,A),E),inverse(divide(E,B)))) = divide(C,D),
inference(copy,[status(thm)],[c_635]) ).
cnf(c_636,plain,
divide(divide(A,inverse(B)),C) = divide(inverse(divide(D,divide(A,E))),divide(divide(divide(C,B),E),D)),
inference(paramod,[status(thm)],[c_107,c_309]) ).
cnf(c_424,plain,
divide(inverse(divide(A,divide(B,C))),divide(divide(divide(D,E),C),A)) = divide(divide(B,inverse(E)),D),
inference(copy,[status(thm)],[c_636]) ).
cnf(c_426,plain,
divide(divide(inverse(divide(A,B)),C),divide(D,divide(C,divide(inverse(E),divide(A,E))))) = divide(B,D),
inference(paramod,[status(thm)],[c_309,c_130]) ).
cnf(c_427,plain,
divide(divide(inverse(divide(A,B)),divide(C,A)),D) = divide(B,divide(D,divide(inverse(E),divide(C,E)))),
inference(paramod,[status(thm)],[c_309,c_130]) ).
cnf(c_637,plain,
divide(divide(A,inverse(B)),C) = divide(inverse(divide(D,A)),divide(divide(C,B),D)),
inference(paramod,[status(thm)],[c_130,c_309]) ).
cnf(c_429,plain,
divide(inverse(divide(A,B)),divide(divide(C,D),A)) = divide(divide(B,inverse(D)),C),
inference(copy,[status(thm)],[c_637]) ).
cnf(c_432,plain,
divide(divide(A,divide(B,divide(inverse(C),divide(D,C)))),divide(inverse(divide(D,E)),B)) = divide(A,E),
inference(paramod,[status(thm)],[c_309,c_138]) ).
cnf(c_445,plain,
divide(divide(inverse(divide(divide(A,B),C)),D),inverse(divide(D,divide(divide(E,F),A)))) = inverse(divide(divide(inverse(divide(F,E)),B),C)),
inference(paramod,[status(thm)],[c_399,c_240]) ).
cnf(c_638,plain,
divide(divide(inverse(divide(divide(A,B),C)),D),inverse(divide(D,divide(E,A)))) = inverse(divide(divide(inverse(divide(V6,E)),divide(B,V6)),C)),
inference(paramod,[status(thm)],[c_399,c_157]) ).
cnf(c_447,plain,
inverse(divide(divide(inverse(divide(A,B)),divide(C,A)),D)) = divide(divide(inverse(divide(divide(E,C),D)),F),inverse(divide(F,divide(B,E)))),
inference(copy,[status(thm)],[c_638]) ).
cnf(c_639,plain,
divide(divide(divide(divide(B,C),inverse(C)),divide(D,E)),F) = divide(B,divide(inverse(divide(V6,F)),divide(divide(E,D),V6))),
inference(paramod,[status(thm)],[c_429,c_112]) ).
cnf(c_454,plain,
divide(divide(divide(divide(A,B),inverse(B)),divide(C,D)),E) = divide(A,divide(divide(E,inverse(C)),D)),
inference(paramod,[status(thm)],[c_429,c_639]) ).
cnf(c_455,plain,
divide(divide(divide(A,B),inverse(B)),divide(C,D)) = divide(divide(A,inverse(D)),C),
inference(paramod,[status(thm)],[c_429,c_424]) ).
cnf(c_465,plain,
divide(A,divide(divide(B,inverse(divide(C,D))),inverse(D))) = divide(divide(A,C),B),
inference(paramod,[status(thm)],[c_429,c_366]) ).
cnf(c_467,plain,
divide(divide(A,divide(divide(divide(B,C),inverse(C)),D)),divide(inverse(divide(E,D)),divide(B,E))) = A,
inference(paramod,[status(thm)],[c_429,c_361]) ).
cnf(c_640,plain,
divide(divide(B,inverse(D)),C) = divide(B,divide(inverse(E),divide(divide(D,C),E))),
inference(paramod,[status(thm)],[c_429,c_265]) ).
cnf(c_477,plain,
divide(A,divide(inverse(B),divide(divide(C,D),B))) = divide(divide(A,inverse(C)),D),
inference(copy,[status(thm)],[c_640]) ).
cnf(c_488,plain,
divide(divide(inverse(divide(A,B)),divide(C,A)),D) = divide(divide(B,E),divide(divide(D,inverse(C)),E)),
inference(paramod,[status(thm)],[c_429,c_209]) ).
cnf(c_491,plain,
divide(divide(inverse(divide(inverse(divide(A,B)),C)),divide(divide(D,E),inverse(divide(E,B)))),F) = divide(C,divide(divide(F,inverse(D)),A)),
inference(paramod,[status(thm)],[c_429,c_203]) ).
cnf(c_641,plain,
divide(divide(inverse(divide(A,B)),divide(C,A)),divide(divide(E,inverse(F)),C)) = divide(inverse(divide(F,B)),E),
inference(paramod,[status(thm)],[c_429,c_189]) ).
cnf(c_642,plain,
divide(B,divide(E,inverse(F))) = divide(inverse(divide(F,B)),E),
inference(paramod,[status(thm)],[c_130,c_641]) ).
cnf(c_493,plain,
divide(inverse(divide(A,B)),C) = divide(B,divide(C,inverse(A))),
inference(copy,[status(thm)],[c_642]) ).
cnf(c_518,plain,
divide(divide(divide(A,inverse(B)),C),D) = divide(A,divide(divide(D,inverse(C)),B)),
inference(paramod,[status(thm)],[c_455,c_454]) ).
cnf(c_643,plain,
divide(inverse(divide(B,divide(C,inverse(A)))),divide(divide(D,E),inverse(divide(E,B)))) = divide(C,divide(inverse(F),divide(divide(A,D),F))),
inference(paramod,[status(thm)],[c_493,c_287]) ).
cnf(c_644,plain,
divide(divide(C,inverse(A)),divide(divide(divide(D,E),inverse(divide(E,B))),inverse(B))) = divide(C,divide(inverse(F),divide(divide(A,D),F))),
inference(paramod,[status(thm)],[c_493,c_643]) ).
cnf(c_645,plain,
divide(divide(divide(C,inverse(A)),E),divide(D,E)) = divide(C,divide(inverse(F),divide(divide(A,D),F))),
inference(paramod,[status(thm)],[c_465,c_644]) ).
cnf(c_646,plain,
divide(C,divide(divide(divide(D,E),inverse(E)),A)) = divide(C,divide(inverse(F),divide(divide(A,D),F))),
inference(paramod,[status(thm)],[c_518,c_645]) ).
cnf(c_533,plain,
divide(A,divide(divide(divide(B,C),inverse(C)),D)) = divide(divide(A,inverse(D)),B),
inference(paramod,[status(thm)],[c_477,c_646]) ).
cnf(c_647,plain,
divide(divide(inverse(divide(B,divide(divide(C,A),inverse(A)))),divide(divide(D,E),inverse(divide(E,B)))),divide(F,D)) = divide(C,F),
inference(paramod,[status(thm)],[c_493,c_105]) ).
cnf(c_648,plain,
divide(divide(divide(divide(C,A),inverse(A)),divide(divide(divide(D,E),inverse(divide(E,B))),inverse(B))),divide(F,D)) = divide(C,F),
inference(paramod,[status(thm)],[c_493,c_647]) ).
cnf(c_649,plain,
divide(divide(divide(divide(divide(C,A),inverse(A)),E),divide(D,E)),divide(F,D)) = divide(C,F),
inference(paramod,[status(thm)],[c_465,c_648]) ).
cnf(c_650,plain,
divide(divide(divide(C,A),divide(divide(divide(D,E),inverse(E)),A)),divide(F,D)) = divide(C,F),
inference(paramod,[status(thm)],[c_518,c_649]) ).
cnf(c_651,plain,
divide(divide(divide(divide(C,A),inverse(A)),D),divide(F,D)) = divide(C,F),
inference(paramod,[status(thm)],[c_533,c_650]) ).
cnf(c_652,plain,
divide(divide(C,A),divide(divide(divide(F,D),inverse(D)),A)) = divide(C,F),
inference(paramod,[status(thm)],[c_518,c_651]) ).
cnf(c_539,plain,
divide(divide(divide(A,B),inverse(B)),C) = divide(A,C),
inference(paramod,[status(thm)],[c_533,c_652]) ).
cnf(c_653,plain,
divide(divide(inverse(divide(B,divide(C,inverse(A)))),divide(divide(D,E),inverse(divide(E,B)))),F) = divide(C,divide(divide(F,inverse(D)),A)),
inference(paramod,[status(thm)],[c_493,c_491]) ).
cnf(c_654,plain,
divide(divide(divide(C,inverse(A)),divide(divide(divide(D,E),inverse(divide(E,B))),inverse(B))),F) = divide(C,divide(divide(F,inverse(D)),A)),
inference(paramod,[status(thm)],[c_493,c_653]) ).
cnf(c_655,plain,
divide(divide(divide(divide(C,inverse(A)),E),divide(D,E)),F) = divide(C,divide(divide(F,inverse(D)),A)),
inference(paramod,[status(thm)],[c_465,c_654]) ).
cnf(c_656,plain,
divide(divide(C,divide(divide(divide(D,E),inverse(E)),A)),F) = divide(C,divide(divide(F,inverse(D)),A)),
inference(paramod,[status(thm)],[c_518,c_655]) ).
cnf(c_542,plain,
divide(divide(A,divide(B,C)),D) = divide(A,divide(divide(D,inverse(B)),C)),
inference(paramod,[status(thm)],[c_539,c_656]) ).
cnf(c_657,plain,
divide(divide(B,divide(divide(C,A),inverse(A))),D) = divide(divide(B,E),divide(divide(D,inverse(C)),E)),
inference(paramod,[status(thm)],[c_493,c_488]) ).
cnf(c_658,plain,
divide(B,divide(divide(D,inverse(divide(C,A))),inverse(A))) = divide(divide(B,E),divide(divide(D,inverse(C)),E)),
inference(paramod,[status(thm)],[c_542,c_657]) ).
cnf(c_659,plain,
divide(divide(B,C),D) = divide(divide(B,E),divide(divide(D,inverse(C)),E)),
inference(paramod,[status(thm)],[c_465,c_658]) ).
cnf(c_543,plain,
divide(divide(A,B),divide(divide(C,inverse(D)),B)) = divide(divide(A,D),C),
inference(copy,[status(thm)],[c_659]) ).
cnf(c_660,plain,
divide(divide(A,divide(B,D)),divide(inverse(divide(E,D)),divide(B,E))) = A,
inference(paramod,[status(thm)],[c_539,c_467]) ).
cnf(c_661,plain,
divide(divide(A,divide(B,D)),divide(D,divide(divide(B,E),inverse(E)))) = A,
inference(paramod,[status(thm)],[c_493,c_660]) ).
cnf(c_662,plain,
divide(A,divide(divide(divide(D,divide(divide(B,E),inverse(E))),inverse(B)),D)) = A,
inference(paramod,[status(thm)],[c_542,c_661]) ).
cnf(c_663,plain,
divide(A,divide(divide(D,divide(divide(inverse(B),inverse(divide(B,E))),inverse(E))),D)) = A,
inference(paramod,[status(thm)],[c_542,c_662]) ).
cnf(c_664,plain,
divide(A,divide(divide(divide(D,B),inverse(B)),D)) = A,
inference(paramod,[status(thm)],[c_465,c_663]) ).
cnf(c_552,plain,
divide(A,divide(B,B)) = A,
inference(paramod,[status(thm)],[c_539,c_664]) ).
cnf(c_665,plain,
inverse(divide(divide(B,divide(divide(C,A),inverse(A))),D)) = divide(divide(inverse(divide(divide(E,C),D)),F),inverse(divide(F,divide(B,E)))),
inference(paramod,[status(thm)],[c_493,c_447]) ).
cnf(c_666,plain,
inverse(divide(B,divide(divide(D,inverse(divide(C,A))),inverse(A)))) = divide(divide(inverse(divide(divide(E,C),D)),F),inverse(divide(F,divide(B,E)))),
inference(paramod,[status(thm)],[c_542,c_665]) ).
cnf(c_667,plain,
inverse(divide(divide(B,C),D)) = divide(divide(inverse(divide(divide(E,C),D)),F),inverse(divide(F,divide(B,E)))),
inference(paramod,[status(thm)],[c_465,c_666]) ).
cnf(c_668,plain,
inverse(divide(divide(B,C),D)) = divide(divide(D,divide(F,inverse(divide(E,C)))),inverse(divide(F,divide(B,E)))),
inference(paramod,[status(thm)],[c_493,c_667]) ).
cnf(c_669,plain,
inverse(divide(divide(B,C),D)) = divide(D,divide(divide(inverse(divide(F,divide(B,E))),inverse(F)),inverse(divide(E,C)))),
inference(paramod,[status(thm)],[c_542,c_668]) ).
cnf(c_670,plain,
inverse(divide(divide(B,C),D)) = divide(D,divide(divide(divide(B,E),divide(inverse(F),inverse(F))),inverse(divide(E,C)))),
inference(paramod,[status(thm)],[c_493,c_669]) ).
cnf(c_671,plain,
inverse(divide(divide(B,C),D)) = divide(D,divide(divide(B,E),inverse(divide(E,C)))),
inference(paramod,[status(thm)],[c_552,c_670]) ).
cnf(c_558,plain,
divide(A,divide(divide(B,C),inverse(divide(C,D)))) = inverse(divide(divide(B,D),A)),
inference(copy,[status(thm)],[c_671]) ).
cnf(c_672,plain,
divide(divide(C,divide(D,inverse(divide(A,B)))),inverse(divide(D,divide(divide(E,F),A)))) = inverse(divide(divide(inverse(divide(F,E)),B),C)),
inference(paramod,[status(thm)],[c_493,c_445]) ).
cnf(c_673,plain,
divide(C,divide(divide(inverse(divide(D,divide(divide(E,F),A))),inverse(D)),inverse(divide(A,B)))) = inverse(divide(divide(inverse(divide(F,E)),B),C)),
inference(paramod,[status(thm)],[c_542,c_672]) ).
cnf(c_674,plain,
divide(C,divide(divide(divide(divide(E,F),A),divide(inverse(D),inverse(D))),inverse(divide(A,B)))) = inverse(divide(divide(inverse(divide(F,E)),B),C)),
inference(paramod,[status(thm)],[c_493,c_673]) ).
cnf(c_675,plain,
divide(C,divide(divide(divide(E,F),A),inverse(divide(A,B)))) = inverse(divide(divide(inverse(divide(F,E)),B),C)),
inference(paramod,[status(thm)],[c_552,c_674]) ).
cnf(c_676,plain,
inverse(divide(divide(divide(E,F),B),C)) = inverse(divide(divide(inverse(divide(F,E)),B),C)),
inference(paramod,[status(thm)],[c_558,c_675]) ).
cnf(c_677,plain,
inverse(divide(divide(divide(E,F),B),C)) = inverse(divide(divide(E,divide(B,inverse(F))),C)),
inference(paramod,[status(thm)],[c_493,c_676]) ).
cnf(c_559,plain,
inverse(divide(divide(divide(A,B),C),D)) = inverse(divide(A,divide(divide(D,inverse(C)),inverse(B)))),
inference(paramod,[status(thm)],[c_542,c_677]) ).
cnf(c_678,plain,
divide(divide(A,divide(B,divide(inverse(C),divide(D,C)))),divide(E,divide(B,inverse(D)))) = divide(A,E),
inference(paramod,[status(thm)],[c_493,c_432]) ).
cnf(c_679,plain,
divide(A,divide(divide(divide(E,divide(B,inverse(D))),inverse(B)),divide(inverse(C),divide(D,C)))) = divide(A,E),
inference(paramod,[status(thm)],[c_542,c_678]) ).
cnf(c_680,plain,
divide(A,divide(divide(E,divide(divide(inverse(B),inverse(B)),inverse(D))),divide(inverse(C),divide(D,C)))) = divide(A,E),
inference(paramod,[status(thm)],[c_542,c_679]) ).
cnf(c_681,plain,
divide(A,divide(E,divide(divide(divide(inverse(C),divide(D,C)),inverse(divide(inverse(B),inverse(B)))),inverse(D)))) = divide(A,E),
inference(paramod,[status(thm)],[c_542,c_680]) ).
cnf(c_682,plain,
divide(A,divide(E,divide(divide(inverse(C),divide(divide(inverse(divide(inverse(B),inverse(B))),inverse(D)),C)),inverse(D)))) = divide(A,E),
inference(paramod,[status(thm)],[c_542,c_681]) ).
cnf(c_683,plain,
divide(A,divide(E,divide(divide(inverse(C),divide(divide(inverse(B),divide(inverse(D),inverse(inverse(B)))),C)),inverse(D)))) = divide(A,E),
inference(paramod,[status(thm)],[c_493,c_682]) ).
cnf(c_684,plain,
divide(A,divide(E,divide(divide(inverse(C),divide(inverse(B),divide(divide(C,inverse(inverse(D))),inverse(inverse(B))))),inverse(D)))) = divide(A,E),
inference(paramod,[status(thm)],[c_542,c_683]) ).
cnf(c_685,plain,
divide(A,divide(E,divide(inverse(C),divide(divide(inverse(D),inverse(inverse(B))),divide(divide(C,inverse(inverse(D))),inverse(inverse(B))))))) = divide(A,E),
inference(paramod,[status(thm)],[c_542,c_684]) ).
cnf(c_686,plain,
divide(A,divide(E,divide(inverse(C),divide(divide(inverse(D),inverse(D)),C)))) = divide(A,E),
inference(paramod,[status(thm)],[c_543,c_685]) ).
cnf(c_562,plain,
divide(A,divide(divide(B,inverse(inverse(C))),inverse(C))) = divide(A,B),
inference(paramod,[status(thm)],[c_477,c_686]) ).
cnf(c_687,plain,
divide(divide(B,divide(divide(C,A),inverse(A))),D) = divide(B,divide(D,divide(inverse(E),divide(C,E)))),
inference(paramod,[status(thm)],[c_493,c_427]) ).
cnf(c_688,plain,
divide(B,divide(divide(D,inverse(divide(C,A))),inverse(A))) = divide(B,divide(D,divide(inverse(E),divide(C,E)))),
inference(paramod,[status(thm)],[c_542,c_687]) ).
cnf(c_689,plain,
divide(divide(B,C),D) = divide(B,divide(D,divide(inverse(E),divide(C,E)))),
inference(paramod,[status(thm)],[c_465,c_688]) ).
cnf(c_565,plain,
divide(A,divide(B,divide(inverse(C),divide(D,C)))) = divide(divide(A,D),B),
inference(copy,[status(thm)],[c_689]) ).
cnf(c_690,plain,
divide(divide(B,divide(C,inverse(A))),divide(D,divide(C,divide(inverse(E),divide(A,E))))) = divide(B,D),
inference(paramod,[status(thm)],[c_493,c_426]) ).
cnf(c_691,plain,
divide(divide(B,divide(C,inverse(A))),divide(divide(D,A),C)) = divide(B,D),
inference(paramod,[status(thm)],[c_565,c_690]) ).
cnf(c_692,plain,
divide(B,divide(divide(divide(divide(D,A),C),inverse(C)),inverse(A))) = divide(B,D),
inference(paramod,[status(thm)],[c_542,c_691]) ).
cnf(c_566,plain,
divide(A,divide(divide(B,C),inverse(C))) = divide(A,B),
inference(paramod,[status(thm)],[c_539,c_692]) ).
cnf(c_693,plain,
divide(inverse(divide(B,divide(C,inverse(inverse(A))))),divide(divide(divide(D,A),E),inverse(divide(E,B)))) = divide(C,D),
inference(paramod,[status(thm)],[c_493,c_419]) ).
cnf(c_694,plain,
inverse(divide(divide(divide(D,A),B),inverse(divide(B,divide(C,inverse(inverse(A))))))) = divide(C,D),
inference(paramod,[status(thm)],[c_558,c_693]) ).
cnf(c_695,plain,
inverse(divide(D,divide(divide(inverse(divide(B,divide(C,inverse(inverse(A))))),inverse(B)),inverse(A)))) = divide(C,D),
inference(paramod,[status(thm)],[c_559,c_694]) ).
cnf(c_696,plain,
inverse(divide(D,divide(divide(divide(C,inverse(inverse(A))),divide(inverse(B),inverse(B))),inverse(A)))) = divide(C,D),
inference(paramod,[status(thm)],[c_493,c_695]) ).
cnf(c_697,plain,
inverse(divide(D,divide(divide(C,inverse(inverse(A))),inverse(A)))) = divide(C,D),
inference(paramod,[status(thm)],[c_552,c_696]) ).
cnf(c_568,plain,
inverse(divide(A,B)) = divide(B,A),
inference(paramod,[status(thm)],[c_562,c_697]) ).
cnf(c_698,plain,
divide(A,inverse(divide(divide(C,B),divide(D,B)))) = divide(A,inverse(divide(inverse(E),divide(D,divide(E,divide(inverse(F),divide(C,F))))))),
inference(paramod,[status(thm)],[c_568,c_415]) ).
cnf(c_699,plain,
divide(A,divide(divide(D,B),divide(C,B))) = divide(A,inverse(divide(inverse(E),divide(D,divide(E,divide(inverse(F),divide(C,F))))))),
inference(paramod,[status(thm)],[c_568,c_698]) ).
cnf(c_700,plain,
divide(A,divide(divide(D,B),divide(C,B))) = divide(A,inverse(divide(inverse(E),divide(divide(D,C),E)))),
inference(paramod,[status(thm)],[c_565,c_699]) ).
cnf(c_701,plain,
divide(A,divide(divide(D,B),divide(C,B))) = divide(A,divide(divide(divide(D,C),E),inverse(E))),
inference(paramod,[status(thm)],[c_568,c_700]) ).
cnf(c_570,plain,
divide(A,divide(divide(B,C),divide(D,C))) = divide(A,divide(B,D)),
inference(paramod,[status(thm)],[c_566,c_701]) ).
cnf(c_702,plain,
divide(divide(divide(B,A),divide(inverse(C),A)),D) = inverse(divide(divide(D,C),B)),
inference(paramod,[status(thm)],[c_568,c_399]) ).
cnf(c_703,plain,
divide(divide(B,A),divide(divide(D,inverse(inverse(C))),A)) = inverse(divide(divide(D,C),B)),
inference(paramod,[status(thm)],[c_542,c_702]) ).
cnf(c_704,plain,
divide(divide(B,inverse(C)),D) = inverse(divide(divide(D,C),B)),
inference(paramod,[status(thm)],[c_543,c_703]) ).
cnf(c_576,plain,
divide(divide(A,inverse(B)),C) = divide(A,divide(C,B)),
inference(paramod,[status(thm)],[c_568,c_704]) ).
cnf(c_705,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(divide(inverse(divide(divide(D,E),B)),F),divide(C,inverse(divide(divide(E,D),F)))),
inference(paramod,[status(thm)],[c_568,c_301]) ).
cnf(c_706,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(divide(divide(B,divide(D,E)),F),divide(C,inverse(divide(divide(E,D),F)))),
inference(paramod,[status(thm)],[c_568,c_705]) ).
cnf(c_707,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(divide(B,divide(divide(F,inverse(D)),E)),divide(C,inverse(divide(divide(E,D),F)))),
inference(paramod,[status(thm)],[c_542,c_706]) ).
cnf(c_708,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(divide(B,divide(F,divide(E,D))),divide(C,inverse(divide(divide(E,D),F)))),
inference(paramod,[status(thm)],[c_576,c_707]) ).
cnf(c_709,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(divide(B,divide(F,divide(E,D))),divide(C,divide(F,divide(E,D)))),
inference(paramod,[status(thm)],[c_568,c_708]) ).
cnf(c_710,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(B,divide(divide(divide(C,divide(F,divide(E,D))),inverse(F)),divide(E,D))),
inference(paramod,[status(thm)],[c_542,c_709]) ).
cnf(c_711,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(B,divide(divide(C,divide(divide(inverse(F),inverse(F)),divide(E,D))),divide(E,D))),
inference(paramod,[status(thm)],[c_542,c_710]) ).
cnf(c_712,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(B,divide(divide(C,divide(inverse(F),divide(divide(E,D),F))),divide(E,D))),
inference(paramod,[status(thm)],[c_576,c_711]) ).
cnf(c_713,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(B,divide(divide(divide(C,inverse(E)),D),divide(E,D))),
inference(paramod,[status(thm)],[c_477,c_712]) ).
cnf(c_714,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(B,divide(divide(C,divide(D,E)),divide(E,D))),
inference(paramod,[status(thm)],[c_576,c_713]) ).
cnf(c_715,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(B,divide(C,divide(divide(divide(E,D),inverse(D)),E))),
inference(paramod,[status(thm)],[c_542,c_714]) ).
cnf(c_716,plain,
divide(inverse(A),divide(divide(C,B),A)) = divide(B,divide(C,divide(divide(E,D),divide(E,D)))),
inference(paramod,[status(thm)],[c_576,c_715]) ).
cnf(c_592,plain,
divide(inverse(A),divide(divide(B,C),A)) = divide(C,B),
inference(paramod,[status(thm)],[c_552,c_716]) ).
cnf(c_717,plain,
divide(divide(divide(divide(B,A),divide(C,A)),inverse(divide(divide(C,D),E))),divide(inverse(F),divide(inverse(divide(V6,E)),F))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_568,c_282]) ).
cnf(c_718,plain,
divide(divide(divide(divide(B,A),divide(C,A)),divide(E,divide(C,D))),divide(inverse(F),divide(inverse(divide(V6,E)),F))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_568,c_717]) ).
cnf(c_719,plain,
divide(divide(divide(B,A),divide(divide(divide(E,divide(C,D)),inverse(C)),A)),divide(inverse(F),divide(inverse(divide(V6,E)),F))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_542,c_718]) ).
cnf(c_720,plain,
divide(divide(divide(B,A),divide(divide(E,divide(divide(inverse(C),inverse(C)),D)),A)),divide(inverse(F),divide(inverse(divide(V6,E)),F))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_542,c_719]) ).
cnf(c_721,plain,
divide(divide(divide(B,A),divide(divide(E,divide(inverse(C),divide(D,C))),A)),divide(inverse(F),divide(inverse(divide(V6,E)),F))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_576,c_720]) ).
cnf(c_722,plain,
divide(divide(divide(B,A),divide(E,divide(divide(A,inverse(inverse(C))),divide(D,C)))),divide(inverse(F),divide(inverse(divide(V6,E)),F))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_542,c_721]) ).
cnf(c_723,plain,
divide(divide(divide(B,A),divide(E,divide(A,divide(divide(D,C),inverse(C))))),divide(inverse(F),divide(inverse(divide(V6,E)),F))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_576,c_722]) ).
cnf(c_724,plain,
divide(divide(divide(B,A),divide(E,divide(A,D))),divide(inverse(F),divide(inverse(divide(V6,E)),F))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_566,c_723]) ).
cnf(c_725,plain,
divide(divide(divide(B,A),divide(E,divide(A,D))),divide(inverse(F),divide(divide(E,V6),F))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_568,c_724]) ).
cnf(c_726,plain,
divide(divide(divide(B,A),divide(E,divide(A,D))),divide(V6,E)) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_592,c_725]) ).
cnf(c_727,plain,
divide(divide(B,A),divide(divide(divide(V6,E),inverse(E)),divide(A,D))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_542,c_726]) ).
cnf(c_728,plain,
divide(divide(B,A),divide(divide(V6,E),divide(divide(A,D),E))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_576,c_727]) ).
cnf(c_729,plain,
divide(divide(B,A),divide(V6,divide(A,D))) = divide(inverse(divide(D,B)),V6),
inference(paramod,[status(thm)],[c_570,c_728]) ).
cnf(c_593,plain,
divide(divide(A,B),divide(C,divide(B,D))) = divide(divide(A,D),C),
inference(paramod,[status(thm)],[c_568,c_729]) ).
cnf(c_730,plain,
divide(divide(divide(A,B),divide(C,B)),divide(inverse(D),divide(inverse(divide(E,C)),D))) = divide(A,E),
inference(paramod,[status(thm)],[c_568,c_278]) ).
cnf(c_731,plain,
divide(divide(divide(A,B),divide(C,B)),divide(inverse(D),divide(divide(C,E),D))) = divide(A,E),
inference(paramod,[status(thm)],[c_568,c_730]) ).
cnf(c_732,plain,
divide(divide(divide(A,B),divide(C,B)),divide(E,C)) = divide(A,E),
inference(paramod,[status(thm)],[c_592,c_731]) ).
cnf(c_733,plain,
divide(divide(A,B),divide(divide(divide(E,C),inverse(C)),B)) = divide(A,E),
inference(paramod,[status(thm)],[c_542,c_732]) ).
cnf(c_734,plain,
divide(divide(A,B),divide(divide(E,C),divide(B,C))) = divide(A,E),
inference(paramod,[status(thm)],[c_576,c_733]) ).
cnf(c_594,plain,
divide(divide(A,B),divide(C,B)) = divide(A,C),
inference(paramod,[status(thm)],[c_570,c_734]) ).
cnf(c_735,plain,
divide(divide(inverse(A),B),divide(C,inverse(divide(divide(divide(E,D),divide(A,D)),B)))) = divide(inverse(E),C),
inference(paramod,[status(thm)],[c_568,c_215]) ).
cnf(c_736,plain,
divide(divide(inverse(A),B),divide(C,inverse(divide(divide(E,A),B)))) = divide(inverse(E),C),
inference(paramod,[status(thm)],[c_594,c_735]) ).
cnf(c_737,plain,
divide(divide(inverse(A),B),divide(C,divide(B,divide(E,A)))) = divide(inverse(E),C),
inference(paramod,[status(thm)],[c_568,c_736]) ).
cnf(c_738,plain,
divide(divide(inverse(A),divide(E,A)),C) = divide(inverse(E),C),
inference(paramod,[status(thm)],[c_593,c_737]) ).
cnf(c_739,plain,
divide(inverse(A),divide(divide(C,inverse(E)),A)) = divide(inverse(E),C),
inference(paramod,[status(thm)],[c_542,c_738]) ).
cnf(c_602,plain,
divide(inverse(A),divide(B,divide(A,C))) = divide(inverse(C),B),
inference(paramod,[status(thm)],[c_576,c_739]) ).
cnf(c_740,plain,
divide(divide(A,B),divide(inverse(C),divide(divide(B,A),divide(divide(C,D),divide(E,D))))) = E,
inference(paramod,[status(thm)],[c_568,c_85]) ).
cnf(c_741,plain,
divide(divide(A,B),divide(inverse(C),divide(divide(B,A),divide(C,E)))) = E,
inference(paramod,[status(thm)],[c_594,c_740]) ).
cnf(c_742,plain,
divide(divide(A,B),divide(inverse(E),divide(B,A))) = E,
inference(paramod,[status(thm)],[c_602,c_741]) ).
cnf(c_604,plain,
divide(divide(A,A),inverse(B)) = B,
inference(paramod,[status(thm)],[c_593,c_742]) ).
cnf(c_605,plain,
$false,
inference(resolve,[status(thm)],[c_604,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP473-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 14:56:00 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 1887232 was started by sandbox2 on n009,
% 0.10/0.36 % Fri Sep 25 14:56:00 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.36
% 0.10/0.36 % From the command line: assign(max_seconds, 300).
% 1.29/0.64
% 1.29/0.64 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 1.29/0.64
% 1.29/0.64 % SZS status Unsatisfiable for theBenchmark
% 1.29/0.64
% 1.29/0.64 % Proof 1 at 0.18 (+ 0.07) seconds.
% 1.29/0.64 % Length of proof is 86.
% 1.29/0.64 % Level of proof is 33.
% 1.29/0.64 % Maximum clause weight is 100.000.
% 1.29/0.64 % Given clauses 29.
% 1.29/0.64
% 1.29/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------