%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP476-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 07:29:50 AM UTC 2026
% Result : Unsatisfiable 1.04s 0.51s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 3
% Syntax : Number of formulae : 119 ( 119 unt; 0 def)
% Number of atoms : 119 ( 118 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 9 ( 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 : 571 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(single_axiom,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : divide(inverse(divide(divide(divide(VAR_0,VAR_1),VAR_2),divide(VAR_3,VAR_2))),divide(VAR_1,VAR_0)) = VAR_3,
file('theBenchmark.p',single_axiom) ).
cnf(c_1,plain,
divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)) = D,
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_584,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_584]) ).
cnf(c_5,plain,
divide(inverse(divide(divide(A,B),divide(C,B))),divide(divide(D,E),inverse(divide(divide(divide(E,D),F),divide(A,F))))) = C,
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_585,plain,
divide(inverse(divide(divide(divide(A,B),divide(C,D)),E)),divide(B,A)) = inverse(divide(divide(divide(D,C),F),divide(E,F))),
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_6,plain,
inverse(divide(divide(divide(A,B),C),divide(D,C))) = divide(inverse(divide(divide(divide(E,F),divide(B,A)),D)),divide(F,E)),
inference(copy,[status(thm)],[c_585]) ).
cnf(c_11,plain,
divide(divide(inverse(divide(divide(divide(A,B),divide(C,D)),E)),divide(B,A)),divide(C,D)) = E,
inference(paramod,[status(thm)],[c_6,c_1]) ).
cnf(c_13,plain,
inverse(divide(divide(divide(A,B),C),divide(divide(D,divide(B,A)),C))) = D,
inference(paramod,[status(thm)],[c_6,c_1]) ).
cnf(c_22,plain,
divide(A,divide(divide(B,C),inverse(divide(divide(divide(C,B),D),divide(divide(E,F),D))))) = divide(A,divide(F,E)),
inference(paramod,[status(thm)],[c_13,c_5]) ).
cnf(c_586,plain,
inverse(divide(divide(divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)),E),divide(F,E))) = inverse(divide(divide(D,V6),divide(F,V6))),
inference(paramod,[status(thm)],[c_5,c_13]) ).
cnf(c_23,plain,
inverse(divide(divide(A,B),divide(C,B))) = inverse(divide(divide(A,D),divide(C,D))),
inference(paramod,[status(thm)],[c_1,c_586]) ).
cnf(c_587,plain,
inverse(divide(divide(A,divide(B,C)),D)) = inverse(divide(divide(A,E),divide(inverse(divide(divide(divide(C,B),F),divide(D,F))),E))),
inference(paramod,[status(thm)],[c_1,c_23]) ).
cnf(c_26,plain,
inverse(divide(divide(A,B),divide(inverse(divide(divide(divide(C,D),E),divide(F,E))),B))) = inverse(divide(divide(A,divide(D,C)),F)),
inference(copy,[status(thm)],[c_587]) ).
cnf(c_29,plain,
inverse(divide(divide(A,divide(divide(B,C),inverse(divide(divide(divide(C,B),D),divide(E,D))))),F)) = inverse(divide(divide(A,V6),divide(inverse(divide(divide(E,V7),divide(F,V7))),V6))),
inference(paramod,[status(thm)],[c_5,c_23]) ).
cnf(c_588,plain,
divide(divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)),divide(inverse(divide(divide(divide(E,F),V6),divide(C,V6))),divide(F,E))) = D,
inference(paramod,[status(thm)],[c_1,c_11]) ).
cnf(c_44,plain,
divide(divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)),C) = D,
inference(paramod,[status(thm)],[c_1,c_588]) ).
cnf(c_589,plain,
inverse(A) = inverse(divide(divide(inverse(divide(divide(divide(B,C),divide(D,divide(C,B))),A)),E),divide(D,E))),
inference(paramod,[status(thm)],[c_11,c_23]) ).
cnf(c_52,plain,
inverse(divide(divide(inverse(divide(divide(divide(A,B),divide(C,divide(B,A))),D)),E),divide(C,E))) = inverse(D),
inference(copy,[status(thm)],[c_589]) ).
cnf(c_57,plain,
divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)) = divide(inverse(divide(divide(divide(E,F),C),D)),divide(F,E)),
inference(paramod,[status(thm)],[c_44,c_1]) ).
cnf(c_590,plain,
inverse(divide(A,divide(B,C))) = inverse(divide(divide(divide(inverse(divide(divide(divide(D,E),C),A)),divide(E,D)),F),divide(B,F))),
inference(paramod,[status(thm)],[c_44,c_23]) ).
cnf(c_71,plain,
inverse(divide(divide(divide(inverse(divide(divide(divide(A,B),C),D)),divide(B,A)),E),divide(F,E))) = inverse(divide(D,divide(F,C))),
inference(copy,[status(thm)],[c_590]) ).
cnf(c_121,plain,
divide(inverse(divide(divide(divide(A,B),inverse(divide(divide(divide(C,D),E),divide(divide(F,V6),E)))),divide(V6,F))),divide(B,A)) = divide(D,C),
inference(paramod,[status(thm)],[c_22,c_1]) ).
cnf(c_591,plain,
divide(divide(inverse(divide(divide(divide(A,B),C),divide(D,E))),divide(B,A)),C) = divide(divide(F,V6),inverse(divide(divide(divide(V6,F),V7),divide(divide(E,D),V7)))),
inference(paramod,[status(thm)],[c_22,c_44]) ).
cnf(c_592,plain,
divide(D,E) = divide(divide(F,V6),inverse(divide(divide(divide(V6,F),V7),divide(divide(E,D),V7)))),
inference(paramod,[status(thm)],[c_44,c_591]) ).
cnf(c_133,plain,
divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(divide(D,E),C)))) = divide(E,D),
inference(copy,[status(thm)],[c_592]) ).
cnf(c_165,plain,
divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(D,C)))) = divide(E,divide(inverse(divide(divide(divide(F,V6),E),D)),divide(V6,F))),
inference(paramod,[status(thm)],[c_44,c_133]) ).
cnf(c_593,plain,
divide(inverse(divide(divide(A,B),C)),divide(D,E)) = divide(inverse(divide(divide(divide(F,V6),inverse(divide(divide(divide(D,E),V7),divide(divide(B,A),V7)))),C)),divide(V6,F)),
inference(paramod,[status(thm)],[c_133,c_57]) ).
cnf(c_171,plain,
divide(inverse(divide(divide(divide(A,B),inverse(divide(divide(divide(C,D),E),divide(divide(F,V6),E)))),V7)),divide(B,A)) = divide(inverse(divide(divide(V6,F),V7)),divide(C,D)),
inference(copy,[status(thm)],[c_593]) ).
cnf(c_182,plain,
divide(inverse(divide(divide(A,B),divide(A,B))),divide(C,D)) = divide(D,C),
inference(paramod,[status(thm)],[c_171,c_121]) ).
cnf(c_594,plain,
divide(inverse(divide(A,divide(inverse(divide(divide(divide(B,C),D),divide(A,D))),divide(C,B)))),divide(E,F)) = divide(F,E),
inference(paramod,[status(thm)],[c_1,c_182]) ).
cnf(c_186,plain,
divide(inverse(divide(A,A)),divide(B,C)) = divide(C,B),
inference(paramod,[status(thm)],[c_1,c_594]) ).
cnf(c_595,plain,
divide(divide(A,B),inverse(divide(divide(divide(B,A),C),divide(divide(D,E),C)))) = divide(divide(E,D),inverse(divide(F,F))),
inference(paramod,[status(thm)],[c_186,c_133]) ).
cnf(c_596,plain,
divide(E,D) = divide(divide(E,D),inverse(divide(F,F))),
inference(paramod,[status(thm)],[c_133,c_595]) ).
cnf(c_274,plain,
divide(divide(A,B),inverse(divide(C,C))) = divide(A,B),
inference(copy,[status(thm)],[c_596]) ).
cnf(c_276,plain,
divide(inverse(divide(divide(A,B),divide(C,inverse(divide(D,D))))),divide(B,A)) = C,
inference(paramod,[status(thm)],[c_274,c_1]) ).
cnf(c_597,plain,
divide(A,inverse(divide(B,B))) = divide(inverse(divide(divide(divide(C,D),E),divide(A,E))),divide(D,C)),
inference(paramod,[status(thm)],[c_1,c_274]) ).
cnf(c_278,plain,
divide(A,inverse(divide(B,B))) = A,
inference(paramod,[status(thm)],[c_1,c_597]) ).
cnf(c_598,plain,
divide(inverse(divide(divide(A,B),divide(C,inverse(divide(D,D))))),divide(divide(E,F),inverse(divide(divide(divide(F,E),V6),divide(divide(A,B),V6))))) = C,
inference(paramod,[status(thm)],[c_274,c_5]) ).
cnf(c_599,plain,
divide(inverse(divide(divide(A,B),C)),divide(divide(E,F),inverse(divide(divide(divide(F,E),V6),divide(divide(A,B),V6))))) = C,
inference(paramod,[status(thm)],[c_278,c_598]) ).
cnf(c_279,plain,
divide(inverse(divide(divide(A,B),C)),divide(B,A)) = C,
inference(paramod,[status(thm)],[c_133,c_599]) ).
cnf(c_600,plain,
inverse(divide(divide(A,B),divide(C,inverse(divide(D,D))))) = divide(inverse(divide(divide(divide(E,F),divide(B,A)),C)),divide(F,E)),
inference(paramod,[status(thm)],[c_274,c_6]) ).
cnf(c_601,plain,
inverse(divide(divide(A,B),C)) = divide(inverse(divide(divide(divide(E,F),divide(B,A)),C)),divide(F,E)),
inference(paramod,[status(thm)],[c_278,c_600]) ).
cnf(c_282,plain,
divide(inverse(divide(divide(divide(A,B),divide(C,D)),E)),divide(B,A)) = inverse(divide(divide(D,C),E)),
inference(copy,[status(thm)],[c_601]) ).
cnf(c_602,plain,
inverse(divide(divide(divide(A,B),C),divide(D,C))) = divide(inverse(divide(divide(divide(E,F),divide(B,A)),D)),divide(inverse(divide(V6,V6)),divide(E,F))),
inference(paramod,[status(thm)],[c_274,c_6]) ).
cnf(c_603,plain,
inverse(divide(divide(divide(A,B),C),divide(D,C))) = divide(inverse(divide(divide(divide(E,F),divide(B,A)),D)),divide(F,E)),
inference(paramod,[status(thm)],[c_186,c_602]) ).
cnf(c_283,plain,
inverse(divide(divide(divide(A,B),C),divide(D,C))) = inverse(divide(divide(A,B),D)),
inference(paramod,[status(thm)],[c_282,c_603]) ).
cnf(c_604,plain,
inverse(divide(divide(divide(A,B),C),divide(inverse(divide(D,D)),C))) = divide(inverse(divide(divide(E,F),divide(B,A))),divide(F,E)),
inference(paramod,[status(thm)],[c_274,c_6]) ).
cnf(c_605,plain,
inverse(divide(divide(A,B),inverse(divide(D,D)))) = divide(inverse(divide(divide(E,F),divide(B,A))),divide(F,E)),
inference(paramod,[status(thm)],[c_283,c_604]) ).
cnf(c_606,plain,
inverse(divide(A,B)) = divide(inverse(divide(divide(E,F),divide(B,A))),divide(F,E)),
inference(paramod,[status(thm)],[c_278,c_605]) ).
cnf(c_284,plain,
inverse(divide(A,B)) = divide(B,A),
inference(paramod,[status(thm)],[c_279,c_606]) ).
cnf(c_607,plain,
inverse(divide(divide(A,inverse(divide(B,B))),divide(C,D))) = inverse(divide(divide(A,E),divide(divide(C,D),E))),
inference(paramod,[status(thm)],[c_274,c_23]) ).
cnf(c_608,plain,
inverse(divide(divide(A,divide(B,B)),divide(C,D))) = inverse(divide(divide(A,E),divide(divide(C,D),E))),
inference(paramod,[status(thm)],[c_284,c_607]) ).
cnf(c_609,plain,
divide(divide(C,D),divide(A,divide(B,B))) = inverse(divide(divide(A,E),divide(divide(C,D),E))),
inference(paramod,[status(thm)],[c_284,c_608]) ).
cnf(c_610,plain,
divide(divide(C,D),divide(A,divide(B,B))) = divide(divide(divide(C,D),E),divide(A,E)),
inference(paramod,[status(thm)],[c_284,c_609]) ).
cnf(c_294,plain,
divide(divide(divide(A,B),C),divide(D,C)) = divide(divide(A,B),divide(D,divide(E,E))),
inference(copy,[status(thm)],[c_610]) ).
cnf(c_611,plain,
divide(inverse(divide(divide(divide(A,B),inverse(divide(C,C))),D)),divide(B,A)) = D,
inference(paramod,[status(thm)],[c_274,c_44]) ).
cnf(c_612,plain,
divide(inverse(divide(divide(divide(A,B),divide(C,C)),D)),divide(B,A)) = D,
inference(paramod,[status(thm)],[c_284,c_611]) ).
cnf(c_304,plain,
divide(divide(A,divide(divide(B,C),divide(D,D))),divide(C,B)) = A,
inference(paramod,[status(thm)],[c_284,c_612]) ).
cnf(c_613,plain,
divide(inverse(divide(divide(A,B),C)),divide(B,A)) = divide(inverse(divide(divide(divide(D,E),inverse(divide(F,F))),C)),divide(E,D)),
inference(paramod,[status(thm)],[c_274,c_57]) ).
cnf(c_614,plain,
divide(divide(C,divide(A,B)),divide(B,A)) = divide(inverse(divide(divide(divide(D,E),inverse(divide(F,F))),C)),divide(E,D)),
inference(paramod,[status(thm)],[c_284,c_613]) ).
cnf(c_615,plain,
divide(divide(C,divide(A,B)),divide(B,A)) = divide(inverse(divide(divide(divide(D,E),divide(F,F)),C)),divide(E,D)),
inference(paramod,[status(thm)],[c_284,c_614]) ).
cnf(c_616,plain,
divide(divide(C,divide(A,B)),divide(B,A)) = divide(divide(C,divide(divide(D,E),divide(F,F))),divide(E,D)),
inference(paramod,[status(thm)],[c_284,c_615]) ).
cnf(c_324,plain,
divide(divide(A,divide(B,C)),divide(C,B)) = A,
inference(paramod,[status(thm)],[c_304,c_616]) ).
cnf(c_617,plain,
divide(inverse(divide(divide(A,B),divide(C,divide(D,D)))),divide(B,A)) = C,
inference(paramod,[status(thm)],[c_284,c_276]) ).
cnf(c_618,plain,
divide(divide(divide(C,divide(D,D)),divide(A,B)),divide(B,A)) = C,
inference(paramod,[status(thm)],[c_284,c_617]) ).
cnf(c_359,plain,
divide(A,divide(B,B)) = A,
inference(paramod,[status(thm)],[c_324,c_618]) ).
cnf(c_619,plain,
divide(divide(A,B),divide(divide(D,C),divide(divide(B,A),C))) = divide(E,divide(inverse(divide(divide(divide(F,V6),E),D)),divide(V6,F))),
inference(paramod,[status(thm)],[c_284,c_165]) ).
cnf(c_392,plain,
divide(divide(A,B),divide(divide(C,D),divide(divide(B,A),D))) = divide(E,divide(divide(C,divide(divide(F,V6),E)),divide(V6,F))),
inference(paramod,[status(thm)],[c_284,c_619]) ).
cnf(c_620,plain,
inverse(divide(divide(divide(divide(D,divide(divide(A,B),C)),divide(B,A)),E),divide(F,E))) = inverse(divide(D,divide(F,C))),
inference(paramod,[status(thm)],[c_284,c_71]) ).
cnf(c_621,plain,
divide(divide(F,E),divide(divide(divide(D,divide(divide(A,B),C)),divide(B,A)),E)) = inverse(divide(D,divide(F,C))),
inference(paramod,[status(thm)],[c_284,c_620]) ).
cnf(c_420,plain,
divide(divide(A,B),divide(divide(divide(C,divide(divide(D,E),F)),divide(E,D)),B)) = divide(divide(A,F),C),
inference(paramod,[status(thm)],[c_284,c_621]) ).
cnf(c_622,plain,
inverse(divide(divide(A,divide(divide(B,C),divide(divide(E,D),divide(divide(C,B),D)))),F)) = inverse(divide(divide(A,V6),divide(inverse(divide(divide(E,V7),divide(F,V7))),V6))),
inference(paramod,[status(thm)],[c_284,c_29]) ).
cnf(c_623,plain,
divide(F,divide(A,divide(divide(B,C),divide(divide(E,D),divide(divide(C,B),D))))) = inverse(divide(divide(A,V6),divide(inverse(divide(divide(E,V7),divide(F,V7))),V6))),
inference(paramod,[status(thm)],[c_284,c_622]) ).
cnf(c_624,plain,
divide(F,divide(A,divide(divide(B,C),divide(divide(E,D),divide(divide(C,B),D))))) = inverse(divide(divide(A,V6),divide(divide(divide(F,V7),divide(E,V7)),V6))),
inference(paramod,[status(thm)],[c_284,c_623]) ).
cnf(c_625,plain,
divide(F,divide(A,divide(divide(B,C),divide(divide(E,D),divide(divide(C,B),D))))) = divide(divide(divide(divide(F,V7),divide(E,V7)),V6),divide(A,V6)),
inference(paramod,[status(thm)],[c_284,c_624]) ).
cnf(c_434,plain,
divide(divide(divide(divide(A,B),divide(C,B)),D),divide(E,D)) = divide(A,divide(E,divide(divide(F,V6),divide(divide(C,V7),divide(divide(V6,F),V7))))),
inference(copy,[status(thm)],[c_625]) ).
cnf(c_626,plain,
inverse(divide(divide(A,B),divide(divide(divide(F,E),divide(divide(C,D),E)),B))) = inverse(divide(divide(A,divide(D,C)),F)),
inference(paramod,[status(thm)],[c_284,c_26]) ).
cnf(c_627,plain,
divide(divide(divide(divide(F,E),divide(divide(C,D),E)),B),divide(A,B)) = inverse(divide(divide(A,divide(D,C)),F)),
inference(paramod,[status(thm)],[c_284,c_626]) ).
cnf(c_436,plain,
divide(divide(divide(divide(A,B),divide(divide(C,D),B)),E),divide(F,E)) = divide(A,divide(F,divide(D,C))),
inference(paramod,[status(thm)],[c_284,c_627]) ).
cnf(c_628,plain,
divide(divide(D,C),divide(divide(A,B),C)) = inverse(divide(divide(A,B),D)),
inference(paramod,[status(thm)],[c_284,c_283]) ).
cnf(c_443,plain,
divide(divide(A,B),divide(divide(C,D),B)) = divide(A,divide(C,D)),
inference(paramod,[status(thm)],[c_284,c_628]) ).
cnf(c_629,plain,
inverse(divide(divide(divide(D,divide(divide(A,B),divide(C,divide(B,A)))),E),divide(C,E))) = inverse(D),
inference(paramod,[status(thm)],[c_284,c_52]) ).
cnf(c_630,plain,
divide(divide(C,E),divide(divide(D,divide(divide(A,B),divide(C,divide(B,A)))),E)) = inverse(D),
inference(paramod,[status(thm)],[c_284,c_629]) ).
cnf(c_516,plain,
divide(A,divide(B,divide(divide(C,D),divide(A,divide(D,C))))) = inverse(B),
inference(paramod,[status(thm)],[c_443,c_630]) ).
cnf(c_530,plain,
divide(divide(divide(A,B),C),divide(D,C)) = divide(divide(A,B),D),
inference(paramod,[status(thm)],[c_359,c_294]) ).
cnf(c_631,plain,
divide(divide(divide(A,divide(C,D)),E),divide(F,E)) = divide(A,divide(F,divide(D,C))),
inference(paramod,[status(thm)],[c_443,c_436]) ).
cnf(c_533,plain,
divide(divide(A,divide(B,C)),D) = divide(A,divide(D,divide(C,B))),
inference(paramod,[status(thm)],[c_530,c_631]) ).
cnf(c_632,plain,
divide(divide(divide(A,B),divide(D,divide(B,C))),divide(E,D)) = divide(A,divide(E,divide(divide(F,V6),divide(divide(C,V7),divide(divide(V6,F),V7))))),
inference(paramod,[status(thm)],[c_533,c_434]) ).
cnf(c_633,plain,
divide(divide(A,B),divide(divide(E,D),divide(divide(B,C),D))) = divide(A,divide(E,divide(divide(F,V6),divide(divide(C,V7),divide(divide(V6,F),V7))))),
inference(paramod,[status(thm)],[c_533,c_632]) ).
cnf(c_634,plain,
divide(divide(A,B),divide(E,divide(B,C))) = divide(A,divide(E,divide(divide(F,V6),divide(divide(C,V7),divide(divide(V6,F),V7))))),
inference(paramod,[status(thm)],[c_443,c_633]) ).
cnf(c_535,plain,
divide(divide(A,B),divide(C,divide(B,D))) = divide(A,divide(C,divide(divide(E,F),divide(D,divide(F,E))))),
inference(paramod,[status(thm)],[c_443,c_634]) ).
cnf(c_635,plain,
divide(divide(A,B),divide(divide(C,divide(divide(E,D),divide(F,divide(D,E)))),B)) = divide(divide(A,F),C),
inference(paramod,[status(thm)],[c_533,c_420]) ).
cnf(c_636,plain,
divide(divide(A,B),divide(C,divide(B,divide(divide(F,divide(D,E)),divide(E,D))))) = divide(divide(A,F),C),
inference(paramod,[status(thm)],[c_533,c_635]) ).
cnf(c_637,plain,
divide(divide(A,B),divide(C,divide(B,divide(F,divide(divide(E,D),divide(E,D)))))) = divide(divide(A,F),C),
inference(paramod,[status(thm)],[c_533,c_636]) ).
cnf(c_543,plain,
divide(divide(A,B),divide(C,divide(B,D))) = divide(divide(A,D),C),
inference(paramod,[status(thm)],[c_359,c_637]) ).
cnf(c_638,plain,
divide(divide(A,B),divide(C,divide(B,A))) = divide(E,divide(divide(C,divide(divide(F,V6),E)),divide(V6,F))),
inference(paramod,[status(thm)],[c_443,c_392]) ).
cnf(c_639,plain,
divide(divide(A,A),C) = divide(E,divide(divide(C,divide(divide(F,V6),E)),divide(V6,F))),
inference(paramod,[status(thm)],[c_543,c_638]) ).
cnf(c_640,plain,
divide(divide(A,A),C) = divide(E,divide(C,divide(divide(V6,F),divide(E,divide(F,V6))))),
inference(paramod,[status(thm)],[c_533,c_639]) ).
cnf(c_552,plain,
divide(divide(A,A),B) = divide(C,divide(B,divide(divide(D,D),C))),
inference(paramod,[status(thm)],[c_543,c_640]) ).
cnf(c_641,plain,
divide(divide(A,D),C) = divide(A,divide(C,divide(divide(E,F),divide(D,divide(F,E))))),
inference(paramod,[status(thm)],[c_543,c_535]) ).
cnf(c_642,plain,
divide(divide(A,D),C) = divide(A,divide(C,divide(divide(E,E),D))),
inference(paramod,[status(thm)],[c_543,c_641]) ).
cnf(c_559,plain,
divide(A,divide(B,divide(divide(C,C),D))) = divide(divide(A,D),B),
inference(copy,[status(thm)],[c_642]) ).
cnf(c_643,plain,
divide(A,divide(B,divide(divide(C,C),A))) = inverse(B),
inference(paramod,[status(thm)],[c_543,c_516]) ).
cnf(c_560,plain,
divide(divide(A,A),B) = inverse(B),
inference(paramod,[status(thm)],[c_559,c_643]) ).
cnf(c_644,plain,
inverse(B) = divide(C,divide(B,divide(divide(D,D),C))),
inference(paramod,[status(thm)],[c_560,c_552]) ).
cnf(c_645,plain,
inverse(B) = divide(C,divide(B,inverse(C))),
inference(paramod,[status(thm)],[c_560,c_644]) ).
cnf(c_565,plain,
divide(A,divide(B,inverse(A))) = inverse(B),
inference(copy,[status(thm)],[c_645]) ).
cnf(c_646,plain,
divide(A,divide(B,inverse(D))) = divide(divide(A,D),B),
inference(paramod,[status(thm)],[c_560,c_559]) ).
cnf(c_566,plain,
divide(divide(A,B),C) = divide(A,divide(C,inverse(B))),
inference(copy,[status(thm)],[c_646]) ).
cnf(c_567,plain,
inverse(inverse(a2)) != a2,
inference(paramod,[status(thm)],[c_560,c_4]) ).
cnf(c_647,plain,
inverse(divide(divide(A,A),B)) = B,
inference(paramod,[status(thm)],[c_359,c_284]) ).
cnf(c_648,plain,
inverse(divide(A,divide(B,inverse(A)))) = B,
inference(paramod,[status(thm)],[c_566,c_647]) ).
cnf(c_582,plain,
inverse(inverse(A)) = A,
inference(paramod,[status(thm)],[c_565,c_648]) ).
cnf(c_583,plain,
$false,
inference(resolve,[status(thm)],[c_582,c_567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP476-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Fri Sep 25 14:55:48 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.34 % Process 507303 was started by sandbox on n014,
% 0.08/0.34 % Fri Sep 25 14:55:48 2026
% 0.08/0.34 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.35
% 0.08/0.35 % From the command line: assign(max_seconds, 300).
% 1.04/0.51
% 1.04/0.51 % Assigning unary symbol inverse kb_weight 0 and highest precedence (6).
% 1.04/0.51
% 1.04/0.51 % SZS status Unsatisfiable for theBenchmark
% 1.04/0.51
% 1.04/0.51 % Proof 1 at 0.13 (+ 0.03) seconds.
% 1.04/0.51 % Length of proof is 51.
% 1.04/0.51 % Level of proof is 23.
% 1.04/0.51 % Maximum clause weight is 100.000.
% 1.04/0.51 % Given clauses 24.
% 1.04/0.51
% 1.04/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------