%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM924+2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:41:58 PM UTC 2026
% Result : Theorem 0.24s 0.60s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 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 : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
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') ).
fof(f21,axiom,
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') ).
fof(f188,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f380,axiom,
! [A_37] : times_times_int(A_37,zero_zero_int) = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f716,conjecture,
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') ).
fof(f717,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(negated_conjecture,[status(cth)],[f716]) ).
fof(f746,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_transformation,[status(thm)],[f20]) ).
fof(f747,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_transformation,[status(thm)],[f21]) ).
fof(f1176,plain,
pls = zero_zero_int,
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f1515,plain,
! [X0] : times_times_int(X0,zero_zero_int) = zero_zero_int,
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f2364,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_transformation,[status(thm)],[f717]) ).
fof(f2468,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),pls),
inference(backward_demodulation,[status(thm)],[f1176,f2364]) ).
fof(f2495,plain,
! [X0] : times_times_int(X0,pls) = zero_zero_int,
inference(forward_demodulation,[status(thm)],[f1176,f1515]) ).
fof(f2496,plain,
! [X0] : times_times_int(X0,pls) = pls,
inference(forward_demodulation,[status(thm)],[f1176,f2495]) ).
fof(f2659,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),pls)),
inference(forward_demodulation,[status(thm)],[f1176,f746]) ).
fof(f2660,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),pls),
inference(forward_demodulation,[status(thm)],[f2496,f2659]) ).
fof(f2663,plain,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),pls),
inference(backward_demodulation,[status(thm)],[f747,f2660]) ).
fof(f2667,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2663,f2468]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM924+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.44 % Computer : n015.cluster.edu
% 0.15/0.44 % Model : x86_64 x86_64
% 0.15/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.44 % Memory : 8046.5625MB
% 0.15/0.44 % OS : Linux 6.8.0-71-generic
% 0.15/0.44 % CPULimit : 300
% 0.15/0.44 % WCLimit : 300
% 0.15/0.44 % DateTime : Mon Sep 21 03:19:50 UTC 2026
% 0.15/0.45 % CPUTime :
% 0.24/0.57 % Drodi V4.1.1
% 0.24/0.60 % Refutation found
% 0.24/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.69 % Elapsed time: 0.228428 seconds
% 0.24/0.69 % CPU time: 0.244579 seconds
% 0.24/0.69 % Total memory used: 41.006 MB
% 0.24/0.69 % Net memory used: 40.878 MB
%------------------------------------------------------------------------------