%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM925+2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 02:21:20 PM UTC 2026
% Result : Theorem 48.21s 6.55s
% Output : Proof 48.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 18 unt; 0 def)
% Number of atoms : 30 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 5 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_98_Pls__def) ).
fof(f103_nnf,plain,
pls = zero_zero_int,
inference(nnf_transformation,[status(thm)],[f103]) ).
cnf(c154,plain,
pls = zero_zero_int,
inference(cnf_transformation,[status(esa)],[f103_nnf]) ).
fof(f53,axiom,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_rel__simps_I2_J) ).
fof(f53_nnf,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)),
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)),
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c68,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)),
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(p1034,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int)),
inference(superposition,[status(thm)],[c154,c68]) ).
fof(f15,axiom,
! [A_24] :
( hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int
<=> A_24 = zero_zero_int ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_zero__eq__power2) ).
fof(f15_nnf,plain,
! [A_24] :
( ( A_24 != zero_zero_int
| hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int )
& ( A_24 = zero_zero_int
| hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A_24] :
( ( A_24 != zero_zero_int
| hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int )
& ( A_24 = zero_zero_int
| hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c19,plain,
( X0 = zero_zero_int
| hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
fof(f707,conjecture,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f707_neg,negated_conjecture,
~ ( hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ),
inference(negated_conjecture,[status(cth)],[f707]) ).
fof(f707_nnf,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
inference(nnf_transformation,[status(thm)],[f707_neg]) ).
cnf(c1011,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
inference(cnf_transformation,[status(esa)],[f707_nnf]) ).
cnf(p1023,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)) = zero_zero_int,
inference(resolution,[status(thm)],[c19,c1011]) ).
fof(f5,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos) ).
fof(f5_nnf,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p1024,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int)),
inference(demodulation,[status(thm)],[p1023,c5]) ).
cnf(p1064,plain,
$false,
inference(resolution,[status(thm)],[p1034,p1024]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM925+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 05:42:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 48.21/6.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.21/6.55 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------