%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM814^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eNgjU53rYS true
% Computer : n009.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 04:48:26 PM UTC 2025
% Result : Theorem 0.57s 0.89s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 46 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 189 ( 37 ~; 11 |; 17 &; 99 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 61 ( 10 ^; 48 !; 3 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(cODD1_type,type,
cODD1: $i > $o ).
thf(sk__8_type,type,
sk__8: ( $i > $o ) > $i ).
thf(c0_type,type,
c0: $i ).
thf(cEVEN1_type,type,
cEVEN1: $i > $o ).
thf(cPEANO1_type,type,
cPEANO1: $o ).
thf(cIND_type,type,
cIND: $o ).
thf(cS_type,type,
cS: $i > $i ).
thf(cPEANO1_def,axiom,
( cPEANO1
= ( cIND
& ! [Xv: $i,Xw: $i] :
( ( ( cS @ Xv )
= ( cS @ Xw ) )
=> ( Xv = Xw ) )
& ! [Xu: $i] :
( ( cS @ Xu )
!= c0 ) ) ) ).
thf('0',plain,
( cPEANO1
= ( cIND
& ! [X4: $i,X6: $i] :
( ( ( cS @ X4 )
= ( cS @ X6 ) )
=> ( X4 = X6 ) )
& ! [X8: $i] :
( ( cS @ X8 )
!= c0 ) ) ),
define([status(thm)]) ).
thf(cODD1_def,axiom,
( cODD1
= ( ^ [Xn: $i] :
~ ( cEVEN1 @ Xn ) ) ) ).
thf(cEVEN1_def,axiom,
( cEVEN1
= ( ^ [Xn: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( Xp @ Xn ) ) ) ) ).
thf('1',plain,
( cEVEN1
= ( ^ [Xn: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ ( cS @ Xx ) ) ) ) )
=> ( Xp @ Xn ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cEVEN1_def]) ).
thf('2',plain,
( cEVEN1
= ( ^ [V_1: $i] :
! [X4: $i > $o] :
( ( ( X4 @ c0 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ ( cS @ X6 ) ) ) ) )
=> ( X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf('3',plain,
( cODD1
= ( ^ [Xn: $i] :
~ ( cEVEN1 @ Xn ) ) ),
inference(simplify_rw_rule,[status(thm)],[cODD1_def,'2']) ).
thf('4',plain,
( cODD1
= ( ^ [V_1: $i] :
~ ( cEVEN1 @ V_1 ) ) ),
define([status(thm)]) ).
thf(cIND_def,axiom,
( cIND
= ( ! [Xp: $i > $o] :
( ( ( Xp @ c0 )
& ! [Xx: $i] :
( ( Xp @ Xx )
=> ( Xp @ ( cS @ Xx ) ) ) )
=> ! [Xx: $i] : ( Xp @ Xx ) ) ) ) ).
thf('5',plain,
( cIND
= ( ! [X4: $i > $o] :
( ( ( X4 @ c0 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) ) )
=> ! [X8: $i] : ( X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(cTHM404,conjecture,
( cPEANO1
=> ? [Xn: $i] : ( cODD1 @ Xn ) ) ).
thf(zf_stmt_0,conjecture,
( ( ! [X4: $i > $o] :
( ( ( X4 @ c0 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) ) )
=> ! [X8: $i] : ( X4 @ X8 ) )
& ! [X10: $i,X12: $i] :
( ( ( cS @ X10 )
= ( cS @ X12 ) )
=> ( X10 = X12 ) )
& ! [X14: $i] :
( ( cS @ X14 )
!= c0 ) )
=> ? [X16: $i] :
~ ! [X18: $i > $o] :
( ( ( X18 @ c0 )
& ! [X20: $i] :
( ( X18 @ X20 )
=> ( X18 @ ( cS @ ( cS @ X20 ) ) ) ) )
=> ( X18 @ X16 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ! [X4: $i > $o] :
( ( ( X4 @ c0 )
& ! [X6: $i] :
( ( X4 @ X6 )
=> ( X4 @ ( cS @ X6 ) ) ) )
=> ! [X8: $i] : ( X4 @ X8 ) )
& ! [X10: $i,X12: $i] :
( ( ( cS @ X10 )
= ( cS @ X12 ) )
=> ( X10 = X12 ) )
& ! [X14: $i] :
( ( cS @ X14 )
!= c0 ) )
=> ? [X16: $i] :
~ ! [X18: $i > $o] :
( ( ( X18 @ c0 )
& ! [X20: $i] :
( ( X18 @ X20 )
=> ( X18 @ ( cS @ ( cS @ X20 ) ) ) ) )
=> ( X18 @ X16 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X5: $i > $o,X6: $i] :
( ( X5 @ X6 )
| ~ ( X5 @ ( cS @ ( cS @ ( sk__8 @ X5 ) ) ) )
| ~ ( X5 @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl318,plain,
! [X0: $i] :
( ( ^ [Y0: $i] : ( X0 != Y0 )
@ X0 )
| ~ ( ^ [Y0: $i] : ( X0 != Y0 )
@ ( cS
@ ( cS
@ ( sk__8
@ ^ [Y0: $i] : ( X0 != Y0 ) ) ) ) )
| ~ ( ^ [Y0: $i] : ( X0 != Y0 )
@ c0 ) ),
inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl355,plain,
! [X0: $i] :
( ( X0 != X0 )
| ~ ( ( X0
!= ( cS @ ( cS @ ( sk__8 @ ( $i != X0 ) ) ) ) ) )
| ~ ( ( X0 != c0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl318]) ).
thf(zip_derived_cl356,plain,
! [X0: $i] :
( ~ ( ( X0
!= ( cS @ ( cS @ ( sk__8 @ ( $i != X0 ) ) ) ) ) )
| ~ ( ( X0 != c0 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl355]) ).
thf(zip_derived_cl357,plain,
! [X0: $i] :
( ( X0
= ( cS @ ( cS @ ( sk__8 @ ( $i != X0 ) ) ) ) )
| ( X0 = c0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl356]) ).
thf(zip_derived_cl2,plain,
! [X2: $i,X3: $i] :
( ( X3 = X2 )
| ( ( cS @ X3 )
!= ( cS @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X4: $i] :
( ( cS @ X4 )
!= c0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl87,plain,
! [X0: $i,X1: $i] :
( ( X0 != c0 )
| ( ( cS @ ( cS @ X1 ) )
!= ( cS @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).
thf(zip_derived_cl104,plain,
! [X1: $i] :
( ( cS @ ( cS @ X1 ) )
!= ( cS @ c0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl564,plain,
! [X0: $i] :
( ( X0
!= ( cS @ c0 ) )
| ( X0 = c0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl357,zip_derived_cl104]) ).
thf(zip_derived_cl582,plain,
( ( cS @ c0 )
= c0 ),
inference(simplify,[status(thm)],[zip_derived_cl564]) ).
thf(zip_derived_cl3_001,plain,
! [X4: $i] :
( ( cS @ X4 )
!= c0 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl583,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl582,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM814^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.12/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eNgjU53rYS true
% 0.12/0.33 % Computer : n009.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 16:34:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.52/0.63 % Total configuration time : 828
% 0.52/0.63 % Estimated wc time : 1656
% 0.52/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.89 % Solved by lams/40_c_ic.sh.
% 0.57/0.89 % done 39 iterations in 0.109s
% 0.57/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.89 % SZS output start Refutation
% See solution above
% 0.57/0.89
% 0.57/0.89
% 0.57/0.89 % Terminating...
% 0.60/0.95 % Runner terminated.
% 0.60/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------