%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM925+1 : TPTP v9.0.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n028.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 12:29:28 PM UTC 2025
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 17 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 1 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,plain,
power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(conj_0_negated,plain,
~ ( power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(151,plain,
power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
inference(cnf,[status(esa)],[conj_0_negated]) ).
cnf(l0,plain,
power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
inference(instantiation,[status(thm)],[151]) ).
fof(fact_0_n1pos,plain,
ord_less_int(zero_zero_int,plus_plus_int(one_one_int,semiri1621563631at_int(n))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_n1pos) ).
cnf(0,plain,
ord_less_int(zero_zero_int,plus_plus_int(one_one_int,semiri1621563631at_int(n))),
inference(cnf,[status(esa)],[fact_0_n1pos]) ).
cnf(l4,plain,
ord_less_int(zero_zero_int,plus_plus_int(one_one_int,semiri1621563631at_int(n))),
inference(instantiation,[status(thm)],[0]) ).
fof(fact_104_power2__less__0,plain,
! [A] : ~ ord_less_int(power_power_int(A,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_power2__less__0) ).
cnf(147,plain,
~ ord_less_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),zero_zero_int),
inference(cnf,[status(esa)],[fact_104_power2__less__0]) ).
cnf(l5,plain,
~ ord_less_int(power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))),zero_zero_int),
inference(instantiation,[status(thm)],[147]) ).
fof(fact_7_zero__eq__power2,plain,
! [A_1] :
( power_power_int(A_1,number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int
<=> A_1 = zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_zero__eq__power2) ).
cnf(9,plain,
( power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int
| X0 = zero_zero_int ),
inference(cnf,[status(esa)],[fact_7_zero__eq__power2]) ).
cnf(l3,plain,
( power_power_int(plus_plus_int(one_one_int,semiri1621563631at_int(n)),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int
| plus_plus_int(one_one_int,semiri1621563631at_int(n)) = zero_zero_int ),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l5,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM925+1 : TPTP v9.0.0. Released v5.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 14:25:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------