%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM925+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 : Sun Sep 27 08:14:07 AM UTC 2026
% Result : Theorem 15.44s 2.80s
% Output : CNFRefutation 15.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 14 unt; 0 def)
% Number of atoms : 20 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 2 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_0_n1pos,axiom,
'ord$uless$uint'('zero$uzero$uint','plus$uplus$uint'('one$uone$uint','semiri1621563631at$uint'(n))) ).
fof(fact_7_zero__eq__power2,axiom,
! [X0] :
( 'power$upower$uint'(X0,'number$unumber$uof$unat'(bit0(bit1(pls)))) = 'zero$uzero$uint'
<=> X0 = 'zero$uzero$uint' ) ).
fof(fact_36_rel__simps_I2_J,axiom,
~ 'ord$uless$uint'(pls,pls) ).
fof(fact_78_Pls__def,axiom,
pls = 'zero$uzero$uint' ).
fof(conj_0,conjecture,
'power$upower$uint'('plus$uplus$uint'('one$uone$uint','semiri1621563631at$uint'(n)),'number$unumber$uof$unat'(bit0(bit1(pls)))) != 'zero$uzero$uint' ).
fof(negated_conjecture,negated_conjecture,
~ ( 'power$upower$uint'('plus$uplus$uint'('one$uone$uint','semiri1621563631at$uint'(n)),'number$unumber$uof$unat'(bit0(bit1(pls)))) != 'zero$uzero$uint' ),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c0,plain,
'ord$uless$uint'('zero$uzero$uint','plus$uplus$uint'('one$uone$uint','semiri1621563631at$uint'(n))),
inference(clausification,[status(esa)],[fact_0_n1pos]) ).
cnf(c9,plain,
( X0 = 'zero$uzero$uint'
| 'power$upower$uint'(X0,'number$unumber$uof$unat'(bit0(bit1(pls)))) != 'zero$uzero$uint' ),
inference(clausification,[status(esa)],[fact_7_zero__eq__power2]) ).
cnf(c46,plain,
~ 'ord$uless$uint'(pls,pls),
inference(clausification,[status(esa)],[fact_36_rel__simps_I2_J]) ).
cnf(c116,plain,
pls = 'zero$uzero$uint',
inference(clausification,[status(esa)],[fact_78_Pls__def]) ).
cnf(c151,plain,
'power$upower$uint'('plus$uplus$uint'('one$uone$uint','semiri1621563631at$uint'(n)),'number$unumber$uof$unat'(bit0(bit1(pls)))) = 'zero$uzero$uint',
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'plus$uplus$uint'('one$uone$uint','semiri1621563631at$uint'(n)) = 'zero$uzero$uint'
| 'zero$uzero$uint' != 'zero$uzero$uint' ),
inference(superposition,[status(thm)],[c151,c9]) ).
cnf(d1,plain,
'plus$uplus$uint'('one$uone$uint','semiri1621563631at$uint'(n)) = 'zero$uzero$uint',
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
'ord$uless$uint'('zero$uzero$uint','zero$uzero$uint'),
inference(demodulation,[status(thm)],[c0,d1]) ).
cnf(d3,plain,
'ord$uless$uint'(pls,'zero$uzero$uint'),
inference(demodulation,[status(thm)],[d2,c116]) ).
cnf(d4,plain,
'ord$uless$uint'(pls,pls),
inference(demodulation,[status(thm)],[d3,c116]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c46,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM925+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 04:18:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.44/2.80 % SZS status Theorem for theBenchmark.p
% 15.44/2.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------