%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM219_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ahzsa6ZZih true
% Computer : n012.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 : Tue May 5 06:23:18 PM UTC 2026
% Result : Theorem 0.17s 0.89s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 58 equ; 0 cnn)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 424 ( 72 ~; 71 |; 22 &; 244 @)
% ( 0 <=>; 4 =>; 11 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 54 ( 0 ^; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(vOptTerm_type,type,
vOptTerm: $tType ).
thf(vTerm_type,type,
vTerm: $tType ).
thf(vTy_type,type,
vTy: $tType ).
thf(vSucc_type,type,
vSucc: vTerm > vTerm ).
thf(sk__98_type,type,
sk__98: vTy ).
thf(vIszero_type,type,
vIszero: vTerm > vTerm ).
thf(vt1_type,type,
vt1: vTerm ).
thf(vreduce_type,type,
vreduce: vTerm > vOptTerm ).
thf(vsomeTerm_type,type,
vsomeTerm: vTerm > vOptTerm ).
thf(vptchecksimple_type,type,
vptchecksimple: vTerm > vTy > $o ).
thf(vZero_type,type,
vZero: vTerm ).
thf(sk__97_type,type,
sk__97: vTerm ).
thf(sk__99_type,type,
sk__99: vTerm ).
thf(visSomeTerm_type,type,
visSomeTerm: vOptTerm > $o ).
thf(visNV_type,type,
visNV: vTerm > $o ).
thf('Preservation-Iszero-Succ-isNV-False-isSomeTerm-False',axiom,
! [Vnv: vTerm,VT: vTy,Vtres: vTerm] :
( ( ~ ( visSomeTerm @ ( vreduce @ ( vSucc @ Vnv ) ) )
& ~ ( visNV @ Vnv )
& ( vt1 != vZero )
& ( vt1
= ( vSucc @ Vnv ) )
& ( vptchecksimple @ ( vIszero @ vt1 ) @ VT )
& ( ( vreduce @ ( vIszero @ vt1 ) )
= ( vsomeTerm @ Vtres ) ) )
=> ( vptchecksimple @ Vtres @ VT ) ) ).
thf(zip_derived_cl263,plain,
! [X0: vTy,X1: vTerm,X2: vTerm] :
( ~ ( vptchecksimple @ ( vIszero @ vt1 ) @ X0 )
| ( vt1
!= ( vSucc @ X1 ) )
| ( vt1 = vZero )
| ( visNV @ X1 )
| ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) )
| ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X2 ) )
| ( vptchecksimple @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[Preservation-Iszero-Succ-isNV-False-isSomeTerm-False]) ).
thf('0',plain,
( ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) )
| ! [X0: vTy,X2: vTerm] :
( ~ ( vptchecksimple @ ( vIszero @ vt1 ) @ X0 )
| ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X2 ) )
| ( vptchecksimple @ X2 @ X0 ) )
| ( vt1 = vZero ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf('Preservation-Iszero-Succ-isNV-False-isSomeTerm-True',axiom,
! [Vnv: vTerm,VT: vTy,Vtres: vTerm] :
( ( ( visSomeTerm @ ( vreduce @ ( vSucc @ Vnv ) ) )
& ~ ( visNV @ Vnv )
& ( vt1 != vZero )
& ( vt1
= ( vSucc @ Vnv ) )
& ( vptchecksimple @ ( vIszero @ vt1 ) @ VT )
& ( ( vreduce @ ( vIszero @ vt1 ) )
= ( vsomeTerm @ Vtres ) ) )
=> ( vptchecksimple @ Vtres @ VT ) ) ).
thf(zip_derived_cl262,plain,
! [X0: vTy,X1: vTerm,X2: vTerm] :
( ~ ( vptchecksimple @ ( vIszero @ vt1 ) @ X0 )
| ( vt1
!= ( vSucc @ X1 ) )
| ( vt1 = vZero )
| ( visNV @ X1 )
| ~ ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) )
| ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X2 ) )
| ( vptchecksimple @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[Preservation-Iszero-Succ-isNV-False-isSomeTerm-True]) ).
thf(zip_derived_cl272,plain,
( ( vt1 = vZero )
<= ( vt1 = vZero ) ),
inference(split,[status(esa)],[zip_derived_cl262]) ).
thf('Preservation-Iszero-Succ-isNV-False',conjecture,
! [Vnv: vTerm,VT: vTy,Vtres: vTerm] :
( ( ~ ( visNV @ Vnv )
& ( vt1 != vZero )
& ( vt1
= ( vSucc @ Vnv ) )
& ( vptchecksimple @ ( vIszero @ vt1 ) @ VT )
& ( ( vreduce @ ( vIszero @ vt1 ) )
= ( vsomeTerm @ Vtres ) ) )
=> ( vptchecksimple @ Vtres @ VT ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Vnv: vTerm,VT: vTy,Vtres: vTerm] :
( ( ~ ( visNV @ Vnv )
& ( vt1 != vZero )
& ( vt1
= ( vSucc @ Vnv ) )
& ( vptchecksimple @ ( vIszero @ vt1 ) @ VT )
& ( ( vreduce @ ( vIszero @ vt1 ) )
= ( vsomeTerm @ Vtres ) ) )
=> ( vptchecksimple @ Vtres @ VT ) ),
inference('cnf.neg',[status(esa)],[Preservation-Iszero-Succ-isNV-False]) ).
thf(zip_derived_cl267,plain,
vt1 != vZero,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('1',plain,
vt1 != vZero,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl272,zip_derived_cl267]) ).
thf(zip_derived_cl269,plain,
vptchecksimple @ ( vIszero @ vt1 ) @ sk__98,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl270,plain,
( ! [X0: vTy,X2: vTerm] :
( ~ ( vptchecksimple @ ( vIszero @ vt1 ) @ X0 )
| ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X2 ) )
| ( vptchecksimple @ X2 @ X0 ) )
<= ! [X0: vTy,X2: vTerm] :
( ~ ( vptchecksimple @ ( vIszero @ vt1 ) @ X0 )
| ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X2 ) )
| ( vptchecksimple @ X2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl262]) ).
thf(zip_derived_cl330,plain,
( ! [X0: vTerm] :
( ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X0 ) )
| ( vptchecksimple @ X0 @ sk__98 ) )
<= ! [X0: vTy,X2: vTerm] :
( ~ ( vptchecksimple @ ( vIszero @ vt1 ) @ X0 )
| ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X2 ) )
| ( vptchecksimple @ X2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl270]) ).
thf(zip_derived_cl265,plain,
( ( vreduce @ ( vIszero @ vt1 ) )
= ( vsomeTerm @ sk__99 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl332,plain,
( ! [X0: vTerm] :
( ( ( vsomeTerm @ sk__99 )
!= ( vsomeTerm @ X0 ) )
| ( vptchecksimple @ X0 @ sk__98 ) )
<= ! [X0: vTy,X2: vTerm] :
( ~ ( vptchecksimple @ ( vIszero @ vt1 ) @ X0 )
| ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X2 ) )
| ( vptchecksimple @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl330,zip_derived_cl265]) ).
thf(zip_derived_cl264,plain,
~ ( vptchecksimple @ sk__99 @ sk__98 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl334,plain,
( ( ( vsomeTerm @ sk__99 )
!= ( vsomeTerm @ sk__99 ) )
<= ! [X0: vTy,X2: vTerm] :
( ~ ( vptchecksimple @ ( vIszero @ vt1 ) @ X0 )
| ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X2 ) )
| ( vptchecksimple @ X2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl332,zip_derived_cl264]) ).
thf('2',plain,
~ ! [X0: vTy,X2: vTerm] :
( ~ ( vptchecksimple @ ( vIszero @ vt1 ) @ X0 )
| ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X2 ) )
| ( vptchecksimple @ X2 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl334]) ).
thf('3',plain,
( ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ~ ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) )
| ! [X0: vTy,X2: vTerm] :
( ~ ( vptchecksimple @ ( vIszero @ vt1 ) @ X0 )
| ( ( vreduce @ ( vIszero @ vt1 ) )
!= ( vsomeTerm @ X2 ) )
| ( vptchecksimple @ X2 @ X0 ) )
| ( vt1 = vZero ) ),
inference(split,[status(esa)],[zip_derived_cl262]) ).
thf(zip_derived_cl268,plain,
( vt1
= ( vSucc @ sk__97 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl274,plain,
( ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) )
<= ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl263]) ).
thf(zip_derived_cl271,plain,
( ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ~ ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) )
<= ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ~ ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) ) ),
inference(split,[status(esa)],[zip_derived_cl262]) ).
thf(zip_derived_cl279,plain,
( ! [X0: vTerm] :
( ( vt1
!= ( vSucc @ X0 ) )
| ( visNV @ X0 )
| ( visNV @ X0 )
| ( vt1
!= ( vSucc @ X0 ) ) )
<= ( ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ~ ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) )
& ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl271]) ).
thf(zip_derived_cl280,plain,
( ! [X0: vTerm] :
( ( visNV @ X0 )
| ( vt1
!= ( vSucc @ X0 ) ) )
<= ( ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ~ ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) )
& ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl279]) ).
thf(zip_derived_cl266,plain,
~ ( visNV @ sk__97 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl284,plain,
( ( vt1
!= ( vSucc @ sk__97 ) )
<= ( ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ~ ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) )
& ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl280,zip_derived_cl266]) ).
thf(zip_derived_cl289,plain,
( ( vt1 != vt1 )
<= ( ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ~ ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) )
& ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl268,zip_derived_cl284]) ).
thf('4',plain,
( ~ ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ~ ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) )
| ~ ! [X1: vTerm] :
( ( visNV @ X1 )
| ( vt1
!= ( vSucc @ X1 ) )
| ( visSomeTerm @ ( vreduce @ ( vSucc @ X1 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl289]) ).
thf(zip_derived_cl338,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : COM219_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.07 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ahzsa6ZZih true
% 0.07/0.25 % Computer : n012.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Mon May 4 19:02:00 EDT 2026
% 0.07/0.25 % CPUTime :
% 0.07/0.25 % Running portfolio for 300 s
% 0.07/0.25 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Number of cores: 8
% 0.07/0.32 % Python version: Python 3.6.8
% 0.07/0.33 % Running in FO mode
% 0.17/0.79 % Total configuration time : 435
% 0.17/0.79 % Estimated wc time : 1092
% 0.17/0.79 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.83 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.84 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.84 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.84 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.84 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.84 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.89 % Solved by fo/fo1_av.sh.
% 0.17/0.89 % done 70 iterations in 0.041s
% 0.17/0.89 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.17/0.89 % SZS output start Refutation
% See solution above
% 0.17/0.89
% 0.17/0.89
% 0.17/0.89 % Terminating...
% 0.18/0.99 % Runner terminated.
% 0.18/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------