%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM924+2 : 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 : n017.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 12:29:26 PM UTC 2025
% Result : Theorem 16.90s 2.46s
% Output : CNFRefutation 16.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,plain,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(conj_0_negated,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(953,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(cnf,[status(esa)],[conj_0_negated]) ).
cnf(l0,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(instantiation,[status(thm)],[953]) ).
fof(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
cnf(19,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
inference(cnf,[status(esa)],[fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096]) ).
cnf(l20,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
inference(instantiation,[status(thm)],[19]) ).
fof(fact_3_t,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_t) ).
cnf(20,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
inference(cnf,[status(esa)],[fact_3_t]) ).
cnf(l3,plain,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
inference(instantiation,[status(thm)],[20]) ).
fof(fact_94_zadd__zmult__distrib,plain,
! [Z1,Z2,W] : times_times_int(plus_plus_int(Z1,Z2),W) = plus_plus_int(times_times_int(Z1,W),times_times_int(Z2,W)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_zadd__zmult__distrib) ).
cnf(157,plain,
times_times_int(plus_plus_int(X0,X1),X2) = plus_plus_int(times_times_int(X0,X2),times_times_int(X1,X2)),
inference(cnf,[status(esa)],[fact_94_zadd__zmult__distrib]) ).
cnf(l22,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int) = plus_plus_int(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int),times_times_int(one_one_int,zero_zero_int)),
inference(instantiation,[status(thm)],[157]) ).
fof(fact_383_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,plain,
! [A_33,M_12,B_13] : plus_plus_int(times_times_int(A_33,M_12),times_times_int(B_13,M_12)) = times_times_int(plus_plus_int(A_33,B_13),M_12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_383_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J) ).
cnf(538,plain,
plus_plus_int(times_times_int(X0,X1),times_times_int(X2,X1)) = times_times_int(plus_plus_int(X0,X2),X1),
inference(cnf,[status(esa)],[fact_383_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J]) ).
cnf(l11,plain,
plus_plus_int(times_times_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),zero_zero_int),times_times_int(one_one_int,zero_zero_int)) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int),
inference(instantiation,[status(thm)],[538]) ).
fof(fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,plain,
! [A_37] : times_times_int(A_37,zero_zero_int) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
cnf(508,plain,
times_times_int(X0,zero_zero_int) = zero_zero_int,
inference(cnf,[status(esa)],[fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).
cnf(l10,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int) = zero_zero_int,
inference(instantiation,[status(thm)],[508]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l20,l3,l22,l11,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : NUM924+2 : TPTP v9.0.0. Released v5.3.0.
% 0.04/0.11 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.30 % Computer : n017.cluster.edu
% 0.07/0.30 % Model : x86_64 x86_64
% 0.07/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.30 % Memory : 8042.1875MB
% 0.07/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.30 % CPULimit : 300
% 0.07/0.30 % WCLimit : 300
% 0.07/0.30 % DateTime : Mon Jul 21 14:24:34 EDT 2025
% 0.07/0.30 % CPUTime :
% 0.12/0.32 % launching worker at depth: 3
% 0.12/0.32 % launching worker at depth: 4
% 0.12/0.32 % launching worker at depth: 1
% 0.12/0.32 % launching worker at depth: 2
% 0.12/0.32 % launching worker at depth: 8
% 0.12/0.32 % launching worker at depth: 6
% 0.12/0.32 % launching worker at depth: 7
% 0.12/0.32 % launching worker at depth: 5
% 0.12/0.32 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 16.90/2.46 % SZS status Theorem for theBenchmark
% 16.90/2.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------