%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUN024^2 : TPTP v9.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jboWyeJMkl true
% Computer : n027.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 : Thu Oct 2 04:48:51 PM UTC 2025
% Result : Theorem 0.51s 0.73s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 55 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 176 ( 26 ~; 16 |; 12 &; 116 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-3 aty)
% Number of variables : 40 ( 4 ^; 34 !; 2 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(zero_type,type,
zero: $i ).
thf(ite_type,type,
ite: $o > $i > $i > $i ).
thf(h_type,type,
h: $i > $i ).
thf(s_type,type,
s: $i > $i ).
thf(n10,conjecture,
( ( ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) )
& ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) )
& ! [X: $i] :
( ( s @ X )
!= zero )
& ! [X: $i] :
( ( s @ X )
!= X )
& ! [X: $i] :
( ( h @ X )
= ( ite @ ( X = zero ) @ ( s @ zero ) @ zero ) ) )
=> ? [H: $i > $i] :
( ( ( H @ ( s @ ( s @ zero ) ) )
= zero )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ zero )
= ( s @ zero ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [X100: $o,U: $i,V: $i] :
( X100
=> ( ( ite @ X100 @ U @ V )
= U ) )
& ! [X100: $o,U: $i,V: $i] :
( ~ X100
=> ( ( ite @ X100 @ U @ V )
= V ) )
& ! [X: $i] :
( ( s @ X )
!= zero )
& ! [X: $i] :
( ( s @ X )
!= X )
& ! [X: $i] :
( ( h @ X )
= ( ite @ ( X = zero ) @ ( s @ zero ) @ zero ) ) )
=> ? [H: $i > $i] :
( ( ( H @ ( s @ ( s @ zero ) ) )
= zero )
& ( ( H @ ( s @ zero ) )
= zero )
& ( ( H @ zero )
= ( s @ zero ) ) ) ),
inference('cnf.neg',[status(esa)],[n10]) ).
thf(zip_derived_cl1,plain,
! [X3: $o,X4: $i,X5: $i] :
( X3
| ( ( ite @ X3 @ X5 @ X4 )
= X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( ite @ $false @ X1 @ X0 )
= X0 ),
inference('ho.refine',[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X8: $i] :
( ( h @ X8 )
= ( ite @ ( X8 = zero ) @ ( s @ zero ) @ zero ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ( X0 = zero )
| ( ( h @ X0 )
= zero ) ),
inference(ext_sup,[status(thm)],[zip_derived_cl10,zip_derived_cl4]) ).
thf(zip_derived_cl97,plain,
! [X0: $i] :
( ( X0 = zero )
| ( ( h @ X0 )
= zero ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl97_001,plain,
! [X0: $i] :
( ( X0 = zero )
| ( ( h @ X0 )
= zero ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl4_002,plain,
! [X8: $i] :
( ( h @ X8 )
= ( ite @ ( X8 = zero ) @ ( s @ zero ) @ zero ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
( ( h @ zero )
= ( ite @ $true @ ( s @ zero ) @ zero ) ),
inference(eq_rw,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl0,plain,
! [X0: $o,X1: $i,X2: $i] :
( ~ X0
| ( ( ite @ X0 @ X1 @ X2 )
= X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38,plain,
( ( h @ zero )
= ( s @ zero ) ),
inference('sup+',[status(thm)],[zip_derived_cl34,zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
! [X9: $i > $i] :
( ( ( X9 @ ( s @ ( s @ zero ) ) )
!= zero )
| ( ( X9 @ ( s @ zero ) )
!= zero )
| ( ( X9 @ zero )
!= ( s @ zero ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
( ( ( s @ zero )
!= ( s @ zero ) )
| ( ( ^ [Y0: $i] :
( h
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( s @ zero ) )
!= zero )
| ( ( ^ [Y0: $i] :
( h
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( s @ ( s @ zero ) ) )
!= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl5]) ).
thf(zip_derived_cl66,plain,
( ( ( s @ zero )
!= ( s @ zero ) )
| ( ( h @ ( s @ zero ) )
!= zero )
| ( ( h @ ( s @ ( s @ zero ) ) )
!= zero ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl67,plain,
( ( ( h @ ( s @ ( s @ zero ) ) )
!= zero )
| ( ( h @ ( s @ zero ) )
!= zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl127,plain,
( ( zero != zero )
| ( ( s @ zero )
= zero )
| ( ( h @ ( s @ ( s @ zero ) ) )
!= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl67]) ).
thf(zip_derived_cl136,plain,
( ( ( h @ ( s @ ( s @ zero ) ) )
!= zero )
| ( ( s @ zero )
= zero ) ),
inference(simplify,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl2,plain,
! [X6: $i] :
( ( s @ X6 )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl137,plain,
( ( h @ ( s @ ( s @ zero ) ) )
!= zero ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl136,zip_derived_cl2]) ).
thf(zip_derived_cl196,plain,
( ( zero != zero )
| ( ( s @ ( s @ zero ) )
= zero ) ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl137]) ).
thf(zip_derived_cl200,plain,
( ( s @ ( s @ zero ) )
= zero ),
inference(simplify,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl2_003,plain,
! [X6: $i] :
( ( s @ X6 )
!= zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl201,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl200,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUN024^2 : TPTP v9.2.0. Released v6.4.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jboWyeJMkl true
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 12:11:23 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.51/0.64 % Total configuration time : 828
% 0.51/0.64 % Estimated wc time : 1656
% 0.51/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.68 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.73 % Solved by lams/40_c.s.sh.
% 0.51/0.73 % done 34 iterations in 0.029s
% 0.51/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.73 % SZS output start Refutation
% See solution above
% 0.51/0.73
% 0.51/0.73
% 0.51/0.73 % Terminating...
% 1.29/0.83 % Runner terminated.
% 1.29/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------