%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP596-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 07:30:27 AM UTC 2026
% Result : Unsatisfiable 0.02s 0.48s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 3
% Syntax : Number of formulae : 102 ( 102 unt; 0 def)
% Number of atoms : 102 ( 101 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 320 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(single_axiom,axiom,
! [VAR_0,VAR_1,VAR_2] : inverse(double_divide(double_divide(VAR_0,VAR_1),inverse(double_divide(VAR_0,inverse(double_divide(VAR_2,VAR_1)))))) = VAR_2,
file('theBenchmark.p',single_axiom) ).
cnf(c_1,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C,
inference(clausify,[status(thm)],[single_axiom]) ).
fof(multiply,axiom,
! [VAR_0,VAR_1] : multiply(VAR_0,VAR_1) = inverse(double_divide(VAR_1,VAR_0)),
file('theBenchmark.p',multiply) ).
cnf(c_2,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(clausify,[status(thm)],[multiply]) ).
fof(prove_these_axioms_4,axiom,
multiply(a,b) != multiply(b,a),
file('theBenchmark.p',prove_these_axioms_4) ).
cnf(c_3,plain,
multiply(a,b) != multiply(b,a),
inference(clausify,[status(thm)],[prove_these_axioms_4]) ).
cnf(c_580,plain,
inverse(double_divide(b,a)) != multiply(b,a),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_4,plain,
inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
inference(paramod,[status(thm)],[c_2,c_580]) ).
cnf(c_5,plain,
inverse(double_divide(double_divide(A,inverse(double_divide(B,inverse(double_divide(C,D))))),inverse(double_divide(A,C)))) = double_divide(B,D),
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_6,plain,
inverse(double_divide(double_divide(double_divide(A,B),inverse(double_divide(C,B))),C)) = A,
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_7,plain,
inverse(double_divide(double_divide(A,inverse(double_divide(B,C))),inverse(double_divide(A,double_divide(D,E))))) = double_divide(B,inverse(double_divide(D,inverse(double_divide(C,E))))),
inference(paramod,[status(thm)],[c_5,c_1]) ).
cnf(c_581,plain,
A = double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(B,C))),B)),C),
inference(paramod,[status(thm)],[c_6,c_5]) ).
cnf(c_18,plain,
double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(B,C))),B)),C) = A,
inference(copy,[status(thm)],[c_581]) ).
cnf(c_23,plain,
inverse(double_divide(double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(B,inverse(double_divide(C,D))))),B)),D),inverse(A))) = C,
inference(paramod,[status(thm)],[c_18,c_1]) ).
cnf(c_26,plain,
inverse(double_divide(double_divide(A,inverse(B)),inverse(double_divide(A,C)))) = double_divide(inverse(double_divide(double_divide(B,inverse(double_divide(D,inverse(double_divide(C,E))))),D)),E),
inference(paramod,[status(thm)],[c_18,c_5]) ).
cnf(c_30,plain,
double_divide(double_divide(inverse(double_divide(A,B)),C),inverse(double_divide(B,C))) = A,
inference(paramod,[status(thm)],[c_5,c_18]) ).
cnf(c_582,plain,
double_divide(inverse(double_divide(A,B)),C) = inverse(double_divide(double_divide(A,inverse(double_divide(D,inverse(double_divide(B,C))))),D)),
inference(paramod,[status(thm)],[c_18,c_18]) ).
cnf(c_35,plain,
inverse(double_divide(double_divide(A,inverse(double_divide(B,inverse(double_divide(C,D))))),B)) = double_divide(inverse(double_divide(A,C)),D),
inference(copy,[status(thm)],[c_582]) ).
cnf(c_37,plain,
inverse(double_divide(double_divide(A,inverse(B)),inverse(double_divide(A,C)))) = double_divide(double_divide(inverse(double_divide(B,C)),D),D),
inference(paramod,[status(thm)],[c_35,c_26]) ).
cnf(c_38,plain,
inverse(double_divide(double_divide(double_divide(inverse(double_divide(A,B)),C),C),inverse(A))) = B,
inference(paramod,[status(thm)],[c_35,c_23]) ).
cnf(c_58,plain,
inverse(double_divide(double_divide(A,inverse(double_divide(B,C))),inverse(double_divide(A,double_divide(double_divide(inverse(double_divide(D,C)),E),E))))) = double_divide(B,inverse(D)),
inference(paramod,[status(thm)],[c_38,c_5]) ).
cnf(c_65,plain,
inverse(double_divide(double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(A,B),inverse(double_divide(C,B))),C),D)),E),E),A)) = D,
inference(paramod,[status(thm)],[c_6,c_38]) ).
cnf(c_583,plain,
double_divide(A,B) = double_divide(inverse(double_divide(C,A)),inverse(double_divide(inverse(C),B))),
inference(paramod,[status(thm)],[c_38,c_18]) ).
cnf(c_67,plain,
double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(A),C))) = double_divide(B,C),
inference(copy,[status(thm)],[c_583]) ).
cnf(c_75,plain,
inverse(double_divide(double_divide(A,inverse(double_divide(B,inverse(double_divide(C,D))))),inverse(double_divide(A,inverse(inverse(double_divide(double_divide(E,inverse(double_divide(F,C))),inverse(double_divide(E,double_divide(B,D)))))))))) = F,
inference(paramod,[status(thm)],[c_7,c_1]) ).
cnf(c_136,plain,
inverse(double_divide(double_divide(A,inverse(double_divide(inverse(B),C))),inverse(double_divide(A,inverse(double_divide(D,C)))))) = inverse(double_divide(B,D)),
inference(paramod,[status(thm)],[c_67,c_1]) ).
cnf(c_584,plain,
inverse(double_divide(double_divide(double_divide(A,B),inverse(double_divide(C,inverse(double_divide(inverse(D),B))))),C)) = inverse(double_divide(D,A)),
inference(paramod,[status(thm)],[c_67,c_6]) ).
cnf(c_585,plain,
double_divide(inverse(double_divide(double_divide(A,B),inverse(D))),B) = inverse(double_divide(D,A)),
inference(paramod,[status(thm)],[c_35,c_584]) ).
cnf(c_144,plain,
inverse(double_divide(A,B)) = double_divide(inverse(double_divide(double_divide(B,C),inverse(A))),C),
inference(copy,[status(thm)],[c_585]) ).
cnf(c_176,plain,
inverse(double_divide(double_divide(A,inverse(double_divide(B,C))),A)) = double_divide(B,C),
inference(paramod,[status(thm)],[c_1,c_144]) ).
cnf(c_586,plain,
inverse(double_divide(b,a)) != double_divide(inverse(double_divide(double_divide(b,A),inverse(a))),A),
inference(paramod,[status(thm)],[c_144,c_4]) ).
cnf(c_179,plain,
double_divide(inverse(double_divide(double_divide(b,A),inverse(a))),A) != inverse(double_divide(b,a)),
inference(copy,[status(thm)],[c_586]) ).
cnf(c_213,plain,
inverse(double_divide(double_divide(double_divide(double_divide(inverse(double_divide(A,B)),C),C),inverse(A)),D)) = double_divide(inverse(double_divide(double_divide(D,E),B)),E),
inference(paramod,[status(thm)],[c_38,c_144]) ).
cnf(c_246,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(A,double_divide(C,D))))) = double_divide(B,inverse(double_divide(C,D))),
inference(paramod,[status(thm)],[c_176,c_1]) ).
cnf(c_252,plain,
double_divide(double_divide(A,B),B) = A,
inference(paramod,[status(thm)],[c_176,c_6]) ).
cnf(c_258,plain,
inverse(inverse(double_divide(A,B))) = double_divide(A,B),
inference(paramod,[status(thm)],[c_30,c_176]) ).
cnf(c_587,plain,
inverse(double_divide(double_divide(double_divide(double_divide(A,B),C),C),inverse(double_divide(D,inverse(double_divide(A,B)))))) = D,
inference(paramod,[status(thm)],[c_176,c_38]) ).
cnf(c_259,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(C,inverse(double_divide(A,B)))))) = C,
inference(paramod,[status(thm)],[c_252,c_587]) ).
cnf(c_588,plain,
inverse(double_divide(double_divide(A,double_divide(B,C)),inverse(double_divide(A,double_divide(D,E))))) = double_divide(double_divide(F,inverse(double_divide(B,C))),inverse(double_divide(D,inverse(double_divide(F,E))))),
inference(paramod,[status(thm)],[c_176,c_7]) ).
cnf(c_589,plain,
double_divide(double_divide(B,C),inverse(double_divide(D,E))) = double_divide(double_divide(F,inverse(double_divide(B,C))),inverse(double_divide(D,inverse(double_divide(F,E))))),
inference(paramod,[status(thm)],[c_246,c_588]) ).
cnf(c_262,plain,
double_divide(double_divide(A,inverse(double_divide(B,C))),inverse(double_divide(D,inverse(double_divide(A,E))))) = double_divide(double_divide(B,C),inverse(double_divide(D,E))),
inference(copy,[status(thm)],[c_589]) ).
cnf(c_275,plain,
inverse(double_divide(double_divide(A,double_divide(inverse(double_divide(double_divide(B,C),inverse(D))),C)),A)) = double_divide(D,B),
inference(paramod,[status(thm)],[c_144,c_176]) ).
cnf(c_590,plain,
inverse(double_divide(double_divide(A,inverse(inverse(double_divide(B,C)))),A)) = double_divide(inverse(double_divide(double_divide(C,D),inverse(B))),D),
inference(paramod,[status(thm)],[c_144,c_176]) ).
cnf(c_276,plain,
inverse(double_divide(double_divide(A,double_divide(B,C)),A)) = double_divide(inverse(double_divide(double_divide(C,D),inverse(B))),D),
inference(paramod,[status(thm)],[c_258,c_590]) ).
cnf(c_336,plain,
inverse(double_divide(double_divide(A,inverse(double_divide(B,inverse(double_divide(C,D))))),inverse(double_divide(A,inverse(double_divide(inverse(double_divide(E,C)),inverse(double_divide(B,D)))))))) = E,
inference(paramod,[status(thm)],[c_246,c_75]) ).
cnf(c_338,plain,
inverse(double_divide(double_divide(A,inverse(double_divide(B,C))),inverse(double_divide(A,inverse(double_divide(D,C)))))) = double_divide(B,inverse(D)),
inference(paramod,[status(thm)],[c_252,c_58]) ).
cnf(c_342,plain,
inverse(double_divide(double_divide(inverse(double_divide(A,B)),inverse(A)),C)) = double_divide(inverse(double_divide(double_divide(C,D),B)),D),
inference(paramod,[status(thm)],[c_252,c_213]) ).
cnf(c_359,plain,
inverse(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(A,B),inverse(double_divide(C,B))),C),D)),A)) = D,
inference(paramod,[status(thm)],[c_252,c_65]) ).
cnf(c_369,plain,
inverse(double_divide(double_divide(A,inverse(B)),inverse(double_divide(A,C)))) = inverse(double_divide(B,C)),
inference(paramod,[status(thm)],[c_252,c_37]) ).
cnf(c_387,plain,
inverse(double_divide(double_divide(inverse(A),B),inverse(double_divide(C,B)))) = inverse(double_divide(A,C)),
inference(paramod,[status(thm)],[c_369,c_136]) ).
cnf(c_388,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(C,B)))) = double_divide(A,inverse(C)),
inference(paramod,[status(thm)],[c_369,c_338]) ).
cnf(c_591,plain,
inverse(double_divide(double_divide(B,inverse(double_divide(C,D))),inverse(double_divide(inverse(double_divide(E,C)),inverse(double_divide(B,D)))))) = E,
inference(paramod,[status(thm)],[c_369,c_336]) ).
cnf(c_592,plain,
inverse(double_divide(double_divide(C,D),inverse(double_divide(inverse(double_divide(E,C)),D)))) = E,
inference(paramod,[status(thm)],[c_262,c_591]) ).
cnf(c_593,plain,
double_divide(C,inverse(inverse(double_divide(E,C)))) = E,
inference(paramod,[status(thm)],[c_388,c_592]) ).
cnf(c_389,plain,
double_divide(A,double_divide(B,A)) = B,
inference(paramod,[status(thm)],[c_258,c_593]) ).
cnf(c_594,plain,
double_divide(inverse(A),inverse(C)) = inverse(double_divide(A,C)),
inference(paramod,[status(thm)],[c_388,c_387]) ).
cnf(c_399,plain,
inverse(double_divide(A,B)) = double_divide(inverse(A),inverse(B)),
inference(copy,[status(thm)],[c_594]) ).
cnf(c_595,plain,
inverse(double_divide(double_divide(A,B),double_divide(inverse(C),inverse(B)))) = double_divide(A,inverse(C)),
inference(paramod,[status(thm)],[c_399,c_388]) ).
cnf(c_596,plain,
double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),inverse(B)))) = double_divide(A,inverse(C)),
inference(paramod,[status(thm)],[c_399,c_595]) ).
cnf(c_597,plain,
double_divide(double_divide(inverse(A),inverse(B)),inverse(double_divide(inverse(C),inverse(B)))) = double_divide(A,inverse(C)),
inference(paramod,[status(thm)],[c_399,c_596]) ).
cnf(c_433,plain,
double_divide(double_divide(inverse(A),inverse(B)),double_divide(inverse(inverse(C)),inverse(inverse(B)))) = double_divide(A,inverse(C)),
inference(paramod,[status(thm)],[c_399,c_597]) ).
cnf(c_598,plain,
inverse(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(A,B),double_divide(inverse(C),inverse(B))),C),D)),A)) = D,
inference(paramod,[status(thm)],[c_399,c_359]) ).
cnf(c_599,plain,
inverse(double_divide(double_divide(inverse(double_divide(double_divide(double_divide(A,B),double_divide(inverse(C),inverse(B))),C)),inverse(D)),A)) = D,
inference(paramod,[status(thm)],[c_399,c_598]) ).
cnf(c_600,plain,
inverse(double_divide(double_divide(double_divide(inverse(double_divide(double_divide(A,B),double_divide(inverse(C),inverse(B)))),inverse(C)),inverse(D)),A)) = D,
inference(paramod,[status(thm)],[c_399,c_599]) ).
cnf(c_601,plain,
inverse(double_divide(double_divide(double_divide(double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),inverse(B)))),inverse(C)),inverse(D)),A)) = D,
inference(paramod,[status(thm)],[c_399,c_600]) ).
cnf(c_602,plain,
inverse(double_divide(double_divide(double_divide(double_divide(double_divide(inverse(A),inverse(B)),inverse(double_divide(inverse(C),inverse(B)))),inverse(C)),inverse(D)),A)) = D,
inference(paramod,[status(thm)],[c_399,c_601]) ).
cnf(c_603,plain,
inverse(double_divide(double_divide(double_divide(double_divide(double_divide(inverse(A),inverse(B)),double_divide(inverse(inverse(C)),inverse(inverse(B)))),inverse(C)),inverse(D)),A)) = D,
inference(paramod,[status(thm)],[c_399,c_602]) ).
cnf(c_604,plain,
inverse(double_divide(double_divide(double_divide(double_divide(A,inverse(C)),inverse(C)),inverse(D)),A)) = D,
inference(paramod,[status(thm)],[c_433,c_603]) ).
cnf(c_605,plain,
inverse(double_divide(double_divide(A,inverse(D)),A)) = D,
inference(paramod,[status(thm)],[c_252,c_604]) ).
cnf(c_606,plain,
double_divide(inverse(double_divide(A,inverse(D))),inverse(A)) = D,
inference(paramod,[status(thm)],[c_399,c_605]) ).
cnf(c_457,plain,
double_divide(double_divide(inverse(A),inverse(inverse(B))),inverse(A)) = B,
inference(paramod,[status(thm)],[c_399,c_606]) ).
cnf(c_607,plain,
inverse(double_divide(double_divide(double_divide(inverse(A),inverse(B)),inverse(A)),C)) = double_divide(inverse(double_divide(double_divide(C,D),B)),D),
inference(paramod,[status(thm)],[c_399,c_342]) ).
cnf(c_608,plain,
double_divide(inverse(double_divide(double_divide(inverse(A),inverse(B)),inverse(A))),inverse(C)) = double_divide(inverse(double_divide(double_divide(C,D),B)),D),
inference(paramod,[status(thm)],[c_399,c_607]) ).
cnf(c_609,plain,
double_divide(double_divide(inverse(double_divide(inverse(A),inverse(B))),inverse(inverse(A))),inverse(C)) = double_divide(inverse(double_divide(double_divide(C,D),B)),D),
inference(paramod,[status(thm)],[c_399,c_608]) ).
cnf(c_610,plain,
double_divide(double_divide(double_divide(inverse(inverse(A)),inverse(inverse(B))),inverse(inverse(A))),inverse(C)) = double_divide(inverse(double_divide(double_divide(C,D),B)),D),
inference(paramod,[status(thm)],[c_399,c_609]) ).
cnf(c_611,plain,
double_divide(B,inverse(C)) = double_divide(inverse(double_divide(double_divide(C,D),B)),D),
inference(paramod,[status(thm)],[c_457,c_610]) ).
cnf(c_612,plain,
double_divide(B,inverse(C)) = double_divide(double_divide(inverse(double_divide(C,D)),inverse(B)),D),
inference(paramod,[status(thm)],[c_399,c_611]) ).
cnf(c_613,plain,
double_divide(B,inverse(C)) = double_divide(double_divide(double_divide(inverse(C),inverse(D)),inverse(B)),D),
inference(paramod,[status(thm)],[c_399,c_612]) ).
cnf(c_469,plain,
double_divide(double_divide(double_divide(inverse(A),inverse(B)),inverse(C)),B) = double_divide(C,inverse(A)),
inference(copy,[status(thm)],[c_613]) ).
cnf(c_614,plain,
double_divide(inverse(double_divide(A,double_divide(B,C))),inverse(A)) = double_divide(inverse(double_divide(double_divide(C,D),inverse(B))),D),
inference(paramod,[status(thm)],[c_399,c_276]) ).
cnf(c_615,plain,
double_divide(double_divide(inverse(A),inverse(double_divide(B,C))),inverse(A)) = double_divide(inverse(double_divide(double_divide(C,D),inverse(B))),D),
inference(paramod,[status(thm)],[c_399,c_614]) ).
cnf(c_616,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(B),inverse(C))),inverse(A)) = double_divide(inverse(double_divide(double_divide(C,D),inverse(B))),D),
inference(paramod,[status(thm)],[c_399,c_615]) ).
cnf(c_617,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(B),inverse(C))),inverse(A)) = double_divide(double_divide(inverse(double_divide(C,D)),inverse(inverse(B))),D),
inference(paramod,[status(thm)],[c_399,c_616]) ).
cnf(c_618,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(B),inverse(C))),inverse(A)) = double_divide(double_divide(double_divide(inverse(C),inverse(D)),inverse(inverse(B))),D),
inference(paramod,[status(thm)],[c_399,c_617]) ).
cnf(c_523,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(B),inverse(C))),inverse(A)) = double_divide(inverse(B),inverse(C)),
inference(paramod,[status(thm)],[c_469,c_618]) ).
cnf(c_619,plain,
inverse(double_divide(double_divide(A,double_divide(double_divide(inverse(double_divide(B,C)),inverse(inverse(D))),C)),A)) = double_divide(D,B),
inference(paramod,[status(thm)],[c_399,c_275]) ).
cnf(c_620,plain,
inverse(double_divide(double_divide(A,double_divide(double_divide(double_divide(inverse(B),inverse(C)),inverse(inverse(D))),C)),A)) = double_divide(D,B),
inference(paramod,[status(thm)],[c_399,c_619]) ).
cnf(c_621,plain,
inverse(double_divide(double_divide(A,double_divide(inverse(D),inverse(B))),A)) = double_divide(D,B),
inference(paramod,[status(thm)],[c_469,c_620]) ).
cnf(c_622,plain,
double_divide(inverse(double_divide(A,double_divide(inverse(D),inverse(B)))),inverse(A)) = double_divide(D,B),
inference(paramod,[status(thm)],[c_399,c_621]) ).
cnf(c_623,plain,
double_divide(double_divide(inverse(A),inverse(double_divide(inverse(D),inverse(B)))),inverse(A)) = double_divide(D,B),
inference(paramod,[status(thm)],[c_399,c_622]) ).
cnf(c_624,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(inverse(D)),inverse(inverse(B)))),inverse(A)) = double_divide(D,B),
inference(paramod,[status(thm)],[c_399,c_623]) ).
cnf(c_524,plain,
double_divide(inverse(inverse(A)),inverse(inverse(B))) = double_divide(A,B),
inference(paramod,[status(thm)],[c_523,c_624]) ).
cnf(c_625,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(C,double_divide(inverse(A),inverse(B)))))) = C,
inference(paramod,[status(thm)],[c_399,c_259]) ).
cnf(c_626,plain,
inverse(double_divide(double_divide(A,B),double_divide(inverse(C),inverse(double_divide(inverse(A),inverse(B)))))) = C,
inference(paramod,[status(thm)],[c_399,c_625]) ).
cnf(c_627,plain,
inverse(double_divide(double_divide(A,B),double_divide(inverse(C),double_divide(inverse(inverse(A)),inverse(inverse(B)))))) = C,
inference(paramod,[status(thm)],[c_399,c_626]) ).
cnf(c_628,plain,
inverse(double_divide(double_divide(A,B),double_divide(inverse(C),double_divide(A,B)))) = C,
inference(paramod,[status(thm)],[c_524,c_627]) ).
cnf(c_539,plain,
inverse(inverse(A)) = A,
inference(paramod,[status(thm)],[c_389,c_628]) ).
cnf(c_629,plain,
double_divide(double_divide(inverse(double_divide(b,A)),inverse(inverse(a))),A) != inverse(double_divide(b,a)),
inference(paramod,[status(thm)],[c_399,c_179]) ).
cnf(c_630,plain,
double_divide(double_divide(double_divide(inverse(b),inverse(A)),inverse(inverse(a))),A) != inverse(double_divide(b,a)),
inference(paramod,[status(thm)],[c_399,c_629]) ).
cnf(c_631,plain,
double_divide(double_divide(double_divide(inverse(b),inverse(A)),a),A) != inverse(double_divide(b,a)),
inference(paramod,[status(thm)],[c_539,c_630]) ).
cnf(c_578,plain,
double_divide(double_divide(double_divide(inverse(b),inverse(A)),a),A) != double_divide(inverse(b),inverse(a)),
inference(paramod,[status(thm)],[c_399,c_631]) ).
cnf(c_579,plain,
$false,
inference(resolve,[status(thm)],[c_578,c_252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP596-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 15:02:26 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.38 % Process 1344164 was started by sandbox2 on n008,
% 0.02/0.38 % Fri Sep 25 15:02:26 2026
% 0.02/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.02/0.38
% 0.02/0.38 % From the command line: assign(max_seconds, 300).
% 0.02/0.48
% 0.02/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.02/0.48
% 0.02/0.48 % Proof 1 at 0.06 (+ 0.02) seconds.
% 0.02/0.48 % Length of proof is 47.
% 0.02/0.48 % Level of proof is 19.
% 0.02/0.48 % Maximum clause weight is 31.000.
% 0.02/0.48 % Given clauses 12.
% 0.02/0.48
% 0.02/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------