%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM924+6 : 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 : n021.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 12:29:27 PM UTC 2025
% Result : Theorem 11.05s 1.75s
% Output : CNFRefutation 11.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 17 unt; 0 def)
% Number of atoms : 23 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 8 ( 1 sgn 4 !; 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/sandbox2/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(848,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)],[848]) ).
fof(fact_231_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,plain,
! [X_a] :
( comm_semiring_1(X_a)
=> ! [A_1] : times_times(X_a,zero_zero(X_a),A_1) = zero_zero(X_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J) ).
cnf(404,plain,
( ~ comm_semiring_1(X0)
| times_times(X0,zero_zero(X0),X1) = zero_zero(X0) ),
inference(cnf,[status(esa)],[fact_231_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J]) ).
cnf(l15,plain,
( ~ comm_semiring_1(int)
| times_times(int,zero_zero(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)],[404]) ).
fof(arity_Int_Oint___Rings_Ocomm__semiring__1,plain,
comm_semiring_1(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Ocomm__semiring__1) ).
cnf(773,plain,
comm_semiring_1(int),
inference(cnf,[status(esa)],[arity_Int_Oint___Rings_Ocomm__semiring__1]) ).
cnf(l19,plain,
comm_semiring_1(int),
inference(instantiation,[status(thm)],[773]) ).
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/sandbox2/benchmark/theBenchmark.p',fact_3_t) ).
cnf(81,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(l9,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)],[81]) ).
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/sandbox2/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(80,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(l25,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)],[80]) ).
fof(fact_23_zmult__commute,plain,
! [Z,W] : times_times(int,Z,W) = times_times(int,W,Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_zmult__commute) ).
cnf(107,plain,
times_times(int,X0,X1) = times_times(int,X1,X0),
inference(cnf,[status(esa)],[fact_23_zmult__commute]) ).
cnf(l20,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)) = times_times(int,zero_zero(int),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(instantiation,[status(thm)],[107]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l15,l19,l9,l25,l20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM924+6 : TPTP v9.0.0. Released v5.3.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 14:25:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.37 % launching worker at depth: 9
% 0.19/0.45 % launching worker at depth: 10
% 11.05/1.75 % SZS status Theorem for theBenchmark
% 11.05/1.75 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------