%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG203+1 : TPTP v9.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dTObVdJvl4 true
% Computer : n002.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 04:28:16 PM UTC 2025
% Result : Theorem 1.23s 0.72s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 136 ( 51 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 423 ( 77 ~; 54 |; 14 &; 249 @)
% ( 0 <=>; 20 =>; 9 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 61 ( 0 ^; 57 !; 4 ?; 61 :)
% 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(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(ax4,axiom,
~ ( ? [U: $i] :
( ( ( op2 @ U @ U )
= U )
& ( sorti2 @ U ) )
& ? [V: $i] :
( ( ( op2 @ V @ V )
!= V )
& ( sorti2 @ V ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X0 )
!= X0 )
| ~ ( sorti2 @ X1 )
| ( ( op2 @ X1 @ X1 )
= X1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl13,plain,
( ! [X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( op2 @ X1 @ X1 )
= X1 ) )
<= ! [X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( op2 @ X1 @ X1 )
= X1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
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_cl9,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_cl35,plain,
( ! [X0: $i] :
( ~ ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 )
| ( ( h @ ( op1 @ X0 @ X0 ) )
= ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) )
<= ! [X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( op2 @ X1 @ X1 )
= X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl9]) ).
thf(zip_derived_cl38,plain,
( ! [X0: $i] :
( ( ( h @ ( op1 @ X0 @ X0 ) )
= ( h @ X0 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) ) )
<= ! [X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( op2 @ X1 @ X1 )
= X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl35]) ).
thf(ax3,axiom,
( ? [V: $i] :
( ( ( op1 @ V @ V )
!= V )
& ( sorti1 @ V ) )
& ? [U: $i] :
( ( ( op1 @ U @ U )
= U )
& ( sorti1 @ U ) ) ) ).
thf(zip_derived_cl2,plain,
( ( op1 @ sk__1 @ sk__1 )
= sk__1 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl9_001,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_cl14,plain,
( ! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X0 )
!= X0 ) )
<= ! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X0 )
!= X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf(zip_derived_cl34,plain,
( ! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( ( h @ ( op1 @ X0 @ X0 ) )
!= ( h @ X0 ) ) )
<= ! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X0 )
!= X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl14]) ).
thf(zip_derived_cl39,plain,
( ! [X0: $i] :
( ( ( h @ ( op1 @ X0 @ X0 ) )
!= ( h @ X0 ) )
| ~ ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X0 )
!= X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
( ! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( h @ ( op1 @ X0 @ X0 ) )
!= ( h @ X0 ) ) )
<= ! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X0 )
!= X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl7]) ).
thf(zip_derived_cl45,plain,
( ( ~ ( sorti1 @ sk__1 )
| ( ( h @ sk__1 )
!= ( h @ sk__1 ) ) )
<= ! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X0 )
!= X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl43]) ).
thf(zip_derived_cl3,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl47,plain,
( ( ( h @ sk__1 )
!= ( h @ sk__1 ) )
<= ! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X0 )
!= X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl3]) ).
thf('0',plain,
~ ! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X0 )
!= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl47]) ).
thf('1',plain,
( ! [X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( op2 @ X1 @ X1 )
= X1 ) )
| ! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X0 @ X0 )
!= X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6]) ).
thf('2',plain,
! [X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( op2 @ X1 @ X1 )
= X1 ) ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl51,plain,
! [X0: $i] :
( ( ( h @ ( op1 @ X0 @ X0 ) )
= ( h @ X0 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl38,'2']) ).
thf(zip_derived_cl7_002,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( h @ ( op1 @ X0 @ X0 ) )
= ( h @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl57,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ X0 ) )
= ( op1 @ X0 @ X0 ) )
| ~ ( sorti1 @ ( op1 @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl52,zip_derived_cl12]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X0 )
| ( ( j @ ( h @ X0 ) )
= ( op1 @ X0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl57]) ).
thf(zip_derived_cl71,plain,
! [X0: $i] :
( ( ( j @ ( h @ X0 ) )
= ( op1 @ X0 @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl12_003,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( op1 @ X0 @ X0 )
= X0 )
| ~ ( sorti1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl12]) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
( ( ( op1 @ X0 @ X0 )
= X0 )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl4,plain,
( ( op1 @ sk_ @ sk_ )
!= sk_ ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl115,plain,
( ~ ( sorti1 @ sk_ )
| ( sk_ != sk_ ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl4]) ).
thf(zip_derived_cl5,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl120,plain,
sk_ != sk_,
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl5]) ).
thf(zip_derived_cl121,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG203+1 : TPTP v9.2.0. Released v2.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dTObVdJvl4 true
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 17:03:08 EDT 2025
% 0.12/0.34 % 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
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.19/0.57 % Total configuration time : 435
% 0.19/0.57 % Estimated wc time : 1092
% 0.19/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.88/0.64 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.88/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.88/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.72 % Solved by fo/fo1_av.sh.
% 1.23/0.72 % done 30 iterations in 0.020s
% 1.23/0.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.23/0.72 % SZS output start Refutation
% See solution above
% 1.23/0.72
% 1.23/0.72
% 1.23/0.72 % Terminating...
% 1.55/0.79 % Runner terminated.
% 1.55/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------