%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM924+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 : Fri Sep 25 02:21:19 PM UTC 2026
% Result : Theorem 43.87s 6.90s
% Output : Proof 43.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 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 : 18 ( 3 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105,axiom,
zero_zero_int = number_number_of_int(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_zero__is__num__zero) ).
fof(f105_nnf,plain,
zero_zero_int = number_number_of_int(pls),
inference(nnf_transformation,[status(thm)],[f105]) ).
cnf(c157,plain,
zero_zero_int = number_number_of_int(pls),
inference(cnf_transformation,[status(esa)],[f105_nnf]) ).
fof(f24,axiom,
! [K_1] : number_number_of_int(K_1) = K_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_number__of__is__id) ).
fof(f24_nnf,plain,
! [K_1] : number_number_of_int(K_1) = K_1,
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [K_1] : number_number_of_int(K_1) = K_1,
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c30,plain,
number_number_of_int(X0) = X0,
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p162,plain,
zero_zero_int = pls,
inference(superposition,[status(thm)],[c157,c30]) ).
fof(f66,axiom,
! [W] : times_times_int(pls,W) = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_mult__Pls) ).
fof(f66_nnf,plain,
! [W] : times_times_int(pls,W) = pls,
inference(nnf_transformation,[status(thm)],[f66]) ).
fof(f66_sk,plain,
! [W] : times_times_int(pls,W) = pls,
inference(skolemisation,[status(esa)],[f66_nnf]) ).
cnf(c96,plain,
times_times_int(pls,X0) = pls,
inference(cnf_transformation,[status(esa)],[f66_sk]) ).
cnf(p172,plain,
pls = zero_zero_int,
inference(superposition,[status(thm)],[p162,c96]) ).
cnf(p221,plain,
times_times_int(zero_zero_int,X0) = zero_zero_int,
inference(demodulation,[status(thm)],[p172,c96]) ).
fof(f25,axiom,
! [Z,W] : times_times_int(Z,W) = times_times_int(W,Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_zmult__commute) ).
fof(f25_nnf,plain,
! [Z,W] : times_times_int(Z,W) = times_times_int(W,Z),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [Z,W] : times_times_int(Z,W) = times_times_int(W,Z),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c31,plain,
times_times_int(X0,X1) = times_times_int(X1,X0),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p241,plain,
times_times_int(X0,zero_zero_int) = zero_zero_int,
inference(superposition,[status(thm)],[p221,c31]) ).
fof(f3,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',fact_3_t) ).
fof(f3_nnf,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(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,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(esa)],[f3_nnf]) ).
fof(f2,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',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A__hc6dfdf03bc803148) ).
fof(f2_nnf,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(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,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(esa)],[f2_nnf]) ).
cnf(p160,plain,
ord_less_int(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(bit0(bit0(bit1(pls))),m),one_one_int),zero_zero_int)),
inference(superposition,[status(thm)],[c3,c2]) ).
cnf(p237,plain,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(zero_zero_int)))),one_one_int),times_times_int(plus_plus_int(times_times_int(bit0(bit0(bit1(zero_zero_int))),m),one_one_int),zero_zero_int)),
inference(demodulation,[status(thm)],[p172,p160]) ).
cnf(p244,plain,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(zero_zero_int)))),one_one_int),zero_zero_int),
inference(demodulation,[status(thm)],[p241,p237]) ).
fof(f106,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',conj_0) ).
fof(f106_neg,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)],[f106]) ).
fof(f106_nnf,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(nnf_transformation,[status(thm)],[f106_neg]) ).
fof(f106_sk,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(skolemisation,[status(esa)],[f106_nnf]) ).
cnf(c158,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(esa)],[f106_sk]) ).
cnf(p235,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(zero_zero_int)))),one_one_int),zero_zero_int),
inference(demodulation,[status(thm)],[p172,c158]) ).
cnf(p3152,plain,
$false,
inference(resolution,[status(thm)],[p244,p235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM924+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.45 % Computer : n017.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Thu Sep 24 05:36:15 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 43.87/6.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.87/6.90 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------