%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM926+5 : TPTP v9.0.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 12:29:30 PM UTC 2025
% Result : Theorem 16.22s 2.44s
% Output : CNFRefutation 16.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 30 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 8 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 14 ( 2 sgn 2 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,plain,
? [X,Y] : plus_plus(int,power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),power_power(int,Y,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(conj_0_negated,plain,
~ ? [X,Y] : plus_plus(int,power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),power_power(int,Y,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(184,plain,
plus_plus(int,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))),power_power(int,X1,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(cnf,[status(esa)],[conj_0_negated]) ).
cnf(l0,plain,
plus_plus(int,power_power(int,sK1,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK2,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(instantiation,[status(thm)],[184]) ).
fof(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,plain,
( t = one_one(int)
=> ? [X,Y] : plus_plus(int,power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),power_power(int,Y,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
cnf(34,plain,
( t != one_one(int)
| plus_plus(int,power_power(int,sK1,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK2,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
inference(cnf,[status(esa)],[fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06]) ).
cnf(l1,plain,
( t != one_one(int)
| plus_plus(int,power_power(int,sK1,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK2,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
inference(instantiation,[status(thm)],[34]) ).
fof(fact_22_zless__le,plain,
! [Z_1,W_1] :
( ord_less(int,Z_1,W_1)
<=> ( ord_less_eq(int,Z_1,W_1)
& Z_1 != W_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_zless__le) ).
cnf(57,plain,
( ~ ord_less_eq(int,X0,X1)
| X0 = X1
| ord_less(int,X0,X1) ),
inference(cnf,[status(esa)],[fact_22_zless__le]) ).
cnf(l3,plain,
( ~ ord_less_eq(int,one_one(int),t)
| one_one(int) = t
| ord_less(int,one_one(int),t) ),
inference(instantiation,[status(thm)],[57]) ).
fof(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,plain,
( ord_less(int,one_one(int),t)
=> ? [X,Y] : plus_plus(int,power_power(int,X,number_number_of(nat,bit0(bit1(pls)))),power_power(int,Y,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
cnf(35,plain,
( ~ ord_less(int,one_one(int),t)
| plus_plus(int,power_power(int,sK3,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK4,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
inference(cnf,[status(esa)],[fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06]) ).
cnf(l6,plain,
( ~ ord_less(int,one_one(int),t)
| plus_plus(int,power_power(int,sK3,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK4,number_number_of(nat,bit0(bit1(pls))))) = plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)) ),
inference(instantiation,[status(thm)],[35]) ).
fof(fact_0_tpos,plain,
ord_less_eq(int,one_one(int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
cnf(33,plain,
ord_less_eq(int,one_one(int),t),
inference(cnf,[status(esa)],[fact_0_tpos]) ).
cnf(l4,plain,
ord_less_eq(int,one_one(int),t),
inference(instantiation,[status(thm)],[33]) ).
cnf(l73,plain,
plus_plus(int,power_power(int,sK3,number_number_of(nat,bit0(bit1(pls)))),power_power(int,sK4,number_number_of(nat,bit0(bit1(pls))))) != plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),
inference(instantiation,[status(thm)],[184]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l6,l4,l73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM926+5 : TPTP v9.0.0. Released v5.3.0.
% 0.15/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Jul 21 14:31:04 EDT 2025
% 0.22/0.36 % CPUTime :
% 0.22/0.37 % launching worker at depth: 5
% 0.22/0.37 % launching worker at depth: 6
% 0.22/0.37 % launching worker at depth: 1
% 0.22/0.37 % launching worker at depth: 2
% 0.22/0.37 % launching worker at depth: 4
% 0.22/0.37 % launching worker at depth: 7
% 0.22/0.37 % launching worker at depth: 3
% 0.22/0.37 % launching worker at depth: 8
% 0.22/0.37 % launching worker at depth: 9
% 0.22/0.38 % launching worker at depth: 10
% 1.55/0.60 % launching worker at depth: 11
% 16.22/2.44 % SZS status Theorem for theBenchmark
% 16.22/2.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------