%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG030+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G2VUeBtPHs true
% Computer : n005.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 04:27:21 PM UTC 2025
% Result : Theorem 0.54s 0.82s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 112 ( 30 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 386 ( 56 ~; 49 |; 8 &; 249 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 59 ( 0 ^; 59 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(sorti1_type,type,
sorti1: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sorti2_type,type,
sorti2: $i > $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(h_type,type,
h: $i > $i ).
thf(j_type,type,
j: $i > $i ).
thf(co1,conjecture,
( ( ! [U: $i] :
( ( sorti1 @ U )
=> ( sorti2 @ ( h @ U ) ) )
& ! [V: $i] :
( ( sorti2 @ V )
=> ( sorti1 @ ( j @ V ) ) ) )
=> ~ ( ! [W: $i] :
( ( sorti1 @ W )
=> ! [X: $i] :
( ( sorti1 @ X )
=> ( ( h @ ( op1 @ W @ X ) )
= ( op2 @ ( h @ W ) @ ( h @ X ) ) ) ) )
& ! [Y: $i] :
( ( sorti2 @ Y )
=> ! [Z: $i] :
( ( sorti2 @ Z )
=> ( ( j @ ( op2 @ Y @ Z ) )
= ( op1 @ ( j @ Y ) @ ( j @ Z ) ) ) ) )
& ! [X1: $i] :
( ( sorti2 @ X1 )
=> ( ( h @ ( j @ X1 ) )
= X1 ) )
& ! [X2: $i] :
( ( sorti1 @ X2 )
=> ( ( j @ ( h @ X2 ) )
= X2 ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [U: $i] :
( ( sorti1 @ U )
=> ( sorti2 @ ( h @ U ) ) )
& ! [V: $i] :
( ( sorti2 @ V )
=> ( sorti1 @ ( j @ V ) ) ) )
=> ~ ( ! [W: $i] :
( ( sorti1 @ W )
=> ! [X: $i] :
( ( sorti1 @ X )
=> ( ( h @ ( op1 @ W @ X ) )
= ( op2 @ ( h @ W ) @ ( h @ X ) ) ) ) )
& ! [Y: $i] :
( ( sorti2 @ Y )
=> ! [Z: $i] :
( ( sorti2 @ Z )
=> ( ( j @ ( op2 @ Y @ Z ) )
= ( op1 @ ( j @ Y ) @ ( j @ Z ) ) ) ) )
& ! [X1: $i] :
( ( sorti2 @ X1 )
=> ( ( h @ ( j @ X1 ) )
= X1 ) )
& ! [X2: $i] :
( ( sorti1 @ X2 )
=> ( ( j @ ( h @ X2 ) )
= X2 ) ) ) ),
inference('cnf.neg',[status(esa)],[co1]) ).
thf(zip_derived_cl8,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax4,axiom,
! [U: $i] :
( ( sorti2 @ U )
=> ! [V: $i] :
( ( sorti2 @ V )
=> ( ( op2 @ U @ V )
= ( op2 @ V @ U ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X1 @ X0 )
= ( op2 @ X0 @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( ( h @ ( op1 @ X1 @ X0 ) )
= ( op2 @ ( h @ X0 ) @ ( h @ X1 ) ) )
| ~ ( sorti2 @ ( h @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ ( h @ X1 ) )
| ( ( h @ ( op1 @ X1 @ X0 ) )
= ( op2 @ ( h @ X0 ) @ ( h @ X1 ) ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl21,zip_derived_cl6]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( h @ ( op1 @ X1 @ X0 ) )
= ( op2 @ ( h @ X0 ) @ ( h @ X1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl6]) ).
thf(zip_derived_cl8_002,plain,
! [X2: $i,X3: $i] :
( ~ ( sorti1 @ X2 )
| ( ( h @ ( op1 @ X3 @ X2 ) )
= ( op2 @ ( h @ X3 ) @ ( h @ X2 ) ) )
| ~ ( sorti1 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X1 )
| ( ( h @ ( op1 @ X0 @ X1 ) )
= ( h @ ( op1 @ X1 @ X0 ) ) )
| ~ ( sorti1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl8]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ( ( h @ ( op1 @ X0 @ X1 ) )
= ( h @ ( op1 @ X1 @ X0 ) ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl95_003,plain,
! [X0: $i,X1: $i] :
( ( ( h @ ( op1 @ X0 @ X1 ) )
= ( h @ ( op1 @ X1 @ X0 ) ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl11,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X0 @ X1 ) )
| ~ ( sorti1 @ ( op1 @ X0 @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl11]) ).
thf(ax1,axiom,
! [U: $i] :
( ( sorti1 @ U )
=> ! [V: $i] :
( ( sorti1 @ V )
=> ( sorti1 @ ( op1 @ U @ V ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl208,plain,
! [X0: $i,X1: $i] :
( ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X0 @ X1 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl0]) ).
thf(zip_derived_cl218,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl95,zip_derived_cl208]) ).
thf(zip_derived_cl223,plain,
! [X0: $i,X1: $i] :
( ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl218]) ).
thf(zip_derived_cl208_004,plain,
! [X0: $i,X1: $i] :
( ( ( j @ ( h @ ( op1 @ X1 @ X0 ) ) )
= ( op1 @ X0 @ X1 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl0]) ).
thf(zip_derived_cl236,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( ( op1 @ X1 @ X0 )
= ( op1 @ X0 @ X1 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl223,zip_derived_cl208]) ).
thf(zip_derived_cl246,plain,
! [X0: $i,X1: $i] :
( ( ( op1 @ X1 @ X0 )
= ( op1 @ X0 @ X1 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl236]) ).
thf(ax3,axiom,
~ ! [U: $i] :
( ( sorti1 @ U )
=> ! [V: $i] :
( ( sorti1 @ V )
=> ( ( op1 @ U @ V )
= ( op1 @ V @ U ) ) ) ) ).
thf(zip_derived_cl3,plain,
( ( op1 @ sk_ @ sk__1 )
!= ( op1 @ sk__1 @ sk_ ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl256,plain,
( ~ ( sorti1 @ sk_ )
| ~ ( sorti1 @ sk__1 )
| ( ( op1 @ sk_ @ sk__1 )
!= ( op1 @ sk_ @ sk__1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl246,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl4,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl275,plain,
( ( op1 @ sk_ @ sk__1 )
!= ( op1 @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl276,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ALG030+1 : TPTP v9.2.0. Released v2.7.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G2VUeBtPHs true
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:58:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.50/0.63 % Total configuration time : 435
% 0.50/0.63 % Estimated wc time : 1092
% 0.50/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.82 % Solved by fo/fo13.sh.
% 0.54/0.82 % done 55 iterations in 0.052s
% 0.54/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.82 % SZS output start Refutation
% See solution above
% 0.54/0.82
% 0.54/0.82
% 0.54/0.82 % Terminating...
% 1.51/0.85 % Runner terminated.
% 1.51/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------