%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GRP526-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 08:41:55 AM UTC 2026
% Result : Unsatisfiable 31.65s 31.92s
% Output : Proof 31.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 87 ( 63 unt; 0 nHn; 69 RR)
% Number of literals : 130 ( 91 equ; 45 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 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 : 86 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(A,divide(divide(A,B),divide(C,B))) = C,
file('theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('theBenchmark.p',multiply) ).
cnf(inverse,axiom,
inverse(A) = divide(divide(B,B),A),
file('theBenchmark.p',inverse) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('theBenchmark.p',prove_these_axioms_2) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( divide(Eq_x_0,Eq_x_1) = divide(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(t1,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(start,[status(thm),parent(0:0)],[prove_these_axioms_2]) ).
cnf(t2,plain,
( divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),a2)) != a2
| multiply(multiply(inverse(b2),b2),a2) != divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),a2))
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(extension,[status(thm),parent(t1:1)],[equality_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
multiply(multiply(inverse(b2),b2),a2) = divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),a2)),
inference(extension,[status(thm),parent(t2:2)],[multiply]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))))) != a2
| divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),a2)) != divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))))))
| divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),a2)) = a2 ),
inference(extension,[status(thm),parent(t2:3)],[equality_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( divide(divide(inverse(b2),inverse(b2)),a2) != divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))))
| multiply(inverse(b2),b2) != divide(inverse(b2),divide(divide(U_370,U_370),b2))
| divide(multiply(inverse(b2),b2),divide(divide(inverse(b2),inverse(b2)),a2)) = divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))))) ),
inference(extension,[status(thm),parent(t6:2)],[equality_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
multiply(inverse(b2),b2) = divide(inverse(b2),divide(divide(U_370,U_370),b2)),
inference(extension,[status(thm),parent(t8:2)],[multiply]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( a2 != divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))))
| divide(inverse(b2),inverse(b2)) != divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2))
| divide(divide(inverse(b2),inverse(b2)),a2) = divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))))) ),
inference(extension,[status(thm),parent(t8:3)],[equality_4]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
( inverse(b2) != divide(divide(U_370,U_370),b2)
| inverse(b2) != divide(divide(U_368,U_368),b2)
| divide(inverse(b2),inverse(b2)) = divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)) ),
inference(extension,[status(thm),parent(t12:2)],[equality_4]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
inverse(b2) = divide(divide(U_368,U_368),b2),
inference(extension,[status(thm),parent(t14:2)],[inverse]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
inverse(b2) = divide(divide(U_370,U_370),b2),
inference(extension,[status(thm),parent(t14:3)],[inverse]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
( divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))) != a2
| a2 = divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))) ),
inference(extension,[status(thm),parent(t12:3)],[equality_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t12:3]) ).
cnf(t22,plain,
divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))) = a2,
inference(extension,[status(thm),parent(t20:2)],[single_axiom]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( a2 != divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))))))
| divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))))) = a2 ),
inference(extension,[status(thm),parent(t6:3)],[equality_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t6:3]) ).
cnf(t26,plain,
( divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2))) != divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))))))
| a2 != divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2)))
| a2 = divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))))) ),
inference(extension,[status(thm),parent(t24:2)],[equality_3]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2))) != a2
| a2 = divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2))) ),
inference(extension,[status(thm),parent(t26:2)],[equality_2]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2))) = a2,
inference(extension,[status(thm),parent(t28:2)],[single_axiom]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))))) != divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2)))
| divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2))) = divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))))) ),
inference(extension,[status(thm),parent(t26:3)],[equality_2]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t26:3]) ).
cnf(t34,plain,
( divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))) != divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2)))
| divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))))) != divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))
| divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))))) = divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2))) ),
inference(extension,[status(thm),parent(t32:2)],[equality_3]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
( divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))))) != divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))
| divide(inverse(b2),divide(divide(U_370,U_370),b2)) != divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2))
| divide(divide(inverse(b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))))))) = divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))) ),
inference(extension,[status(thm),parent(t34:2)],[equality_4]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
cnf(t38,plain,
( divide(divide(U_370,U_370),b2) != divide(divide(U_370,U_370),b2)
| inverse(b2) != divide(divide(U_368,U_368),b2)
| divide(inverse(b2),divide(divide(U_370,U_370),b2)) = divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)) ),
inference(extension,[status(thm),parent(t36:2)],[equality_4]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
inverse(b2) = divide(divide(U_368,U_368),b2),
inference(extension,[status(thm),parent(t38:2)],[inverse]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
( b2 != b2
| divide(U_370,U_370) != divide(U_370,U_370)
| divide(divide(U_370,U_370),b2) = divide(divide(U_370,U_370),b2) ),
inference(extension,[status(thm),parent(t38:3)],[equality_4]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t38:3]) ).
cnf(t44,plain,
divide(U_370,U_370) = divide(U_370,U_370),
inference(extension,[status(thm),parent(t42:2)],[equality_1]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
b2 = b2,
inference(extension,[status(thm),parent(t42:3)],[equality_1]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t42:3]) ).
cnf(t48,plain,
divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))))) = divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))),
inference(extension,[status(thm),parent(t36:3)],[single_axiom]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t36:3]) ).
cnf(t50,plain,
( divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))) != divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2))
| divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)) != divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2))
| divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))) = divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2))) ),
inference(extension,[status(thm),parent(t34:3)],[equality_4]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t34:3]) ).
cnf(t52,plain,
( divide(divide(U_370,U_370),b2) != divide(divide(U_370,U_370),b2)
| divide(divide(U_368,U_368),b2) != divide(divide(U_368,U_368),b2)
| divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)) = divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)) ),
inference(extension,[status(thm),parent(t50:2)],[equality_4]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
( b2 != b2
| divide(U_368,U_368) != divide(U_368,U_368)
| divide(divide(U_368,U_368),b2) = divide(divide(U_368,U_368),b2) ),
inference(extension,[status(thm),parent(t52:2)],[equality_4]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
divide(U_368,U_368) = divide(U_368,U_368),
inference(extension,[status(thm),parent(t54:2)],[equality_1]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
b2 = b2,
inference(extension,[status(thm),parent(t54:3)],[equality_1]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t54:3]) ).
cnf(t60,plain,
( b2 != b2
| divide(U_370,U_370) != divide(U_370,U_370)
| divide(divide(U_370,U_370),b2) = divide(divide(U_370,U_370),b2) ),
inference(extension,[status(thm),parent(t52:3)],[equality_4]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t52:3]) ).
cnf(t62,plain,
divide(U_370,U_370) = divide(U_370,U_370),
inference(extension,[status(thm),parent(t60:2)],[equality_1]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t60:2]) ).
cnf(t64,plain,
b2 = b2,
inference(extension,[status(thm),parent(t60:3)],[equality_1]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t60:3]) ).
cnf(t66,plain,
( divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))) != divide(a2,a2)
| divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))) != divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2)
| divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))),divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))) = divide(divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2),divide(a2,a2)) ),
inference(extension,[status(thm),parent(t50:3)],[equality_4]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t50:3]) ).
cnf(t68,plain,
( divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))) != a2
| divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)) != divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2))
| divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))))) = divide(divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),a2) ),
inference(extension,[status(thm),parent(t66:2)],[equality_4]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)) = divide(divide(divide(U_368,U_368),b2),divide(divide(U_370,U_370),b2)),
inference(extension,[status(thm),parent(t68:2)],[equality_1]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t68:2]) ).
cnf(t72,plain,
divide(a2,divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450))))) = a2,
inference(extension,[status(thm),parent(t68:3)],[single_axiom]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t68:3]) ).
cnf(t74,plain,
( divide(a2,divide(divide(a2,U_450),divide(a2,U_450))) != a2
| divide(a2,divide(divide(a2,U_450),divide(a2,U_450))) != a2
| divide(divide(a2,divide(divide(a2,U_450),divide(a2,U_450))),divide(a2,divide(divide(a2,U_450),divide(a2,U_450)))) = divide(a2,a2) ),
inference(extension,[status(thm),parent(t66:3)],[equality_4]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t66:3]) ).
cnf(t76,plain,
divide(a2,divide(divide(a2,U_450),divide(a2,U_450))) = a2,
inference(extension,[status(thm),parent(t74:2)],[single_axiom]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,plain,
divide(a2,divide(divide(a2,U_450),divide(a2,U_450))) = a2,
inference(extension,[status(thm),parent(t74:3)],[single_axiom]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t74:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP526-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 19 09:41:42 UTC 2026
% 0.07/0.36 % CPUTime :
% 31.65/31.92 % SZS status Unsatisfiable for theBenchmark
% 31.65/31.92 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------