TSTP Solution File: ALG019+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG019+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UDYUkNorC9 true
% Computer : n029.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 : Wed Aug 30 17:10:06 EDT 2023
% Result : Theorem 1.04s 0.78s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 103 ( 24 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 298 ( 47 ~; 33 |; 10 &; 183 @)
% ( 0 <=>; 22 =>; 3 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 0 ^; 49 !; 2 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
thf(sorti1_type,type,
sorti1: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sorti2_type,type,
sorti2: $i > $o ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $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(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] :
( ! [V: $i] :
( ( sorti2 @ V )
=> ( ( op2 @ V @ V )
= U ) )
& ( sorti2 @ U ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( ( op2 @ X0 @ X0 )
= sk__1 )
| ~ ( sorti2 @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X0 )
| ( ( h @ ( op1 @ X0 @ X0 ) )
= sk__1 )
| ~ ( sorti2 @ ( h @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ~ ( sorti2 @ ( h @ X0 ) )
| ( ( h @ ( op1 @ X0 @ X0 ) )
= sk__1 )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( h @ ( op1 @ X0 @ X0 ) )
= sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl23,zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( j @ sk__1 )
= ( op1 @ X0 @ X0 ) )
| ~ ( sorti1 @ ( op1 @ X0 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24,zip_derived_cl11]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X0 )
| ( ( j @ sk__1 )
= ( op1 @ X0 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl28]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( ( j @ sk__1 )
= ( op1 @ X0 @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( sorti1 @ ( op1 @ X1 @ X0 ) )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax1]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X0 )
| ( sorti1 @ ( j @ sk__1 ) )
| ~ ( sorti1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl0]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( sorti1 @ ( j @ sk__1 ) )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl40,plain,
( ( sorti1 @ ( j @ sk__1 ) )
<= ( sorti1 @ ( j @ sk__1 ) ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
( ! [X0: $i] :
~ ( sorti1 @ X0 )
<= ! [X0: $i] :
~ ( sorti1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf(zip_derived_cl7,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
( ! [X0: $i] :
~ ( sorti2 @ X0 )
<= ! [X0: $i] :
~ ( sorti1 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl7]) ).
thf(zip_derived_cl4,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf('0',plain,
~ ! [X0: $i] :
~ ( sorti1 @ X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl42,zip_derived_cl4]) ).
thf('1',plain,
( ( sorti1 @ ( j @ sk__1 ) )
| ! [X0: $i] :
~ ( sorti1 @ X0 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf('2',plain,
sorti1 @ ( j @ sk__1 ),
inference('sat_resolution*',[status(thm)],['0','1']) ).
thf(zip_derived_cl60,plain,
sorti1 @ ( j @ sk__1 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl40,'2']) ).
thf(zip_derived_cl32_002,plain,
! [X0: $i] :
( ( ( j @ sk__1 )
= ( op1 @ X0 @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl31]) ).
thf(ax3,axiom,
~ ? [U: $i] :
( ! [V: $i] :
( ( sorti1 @ V )
=> ( ( op1 @ V @ V )
= U ) )
& ( sorti1 @ U ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( ( op1 @ ( sk_ @ X0 ) @ ( sk_ @ X0 ) )
!= X0 )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ~ ( sorti1 @ ( sk_ @ X0 ) )
| ( ( j @ sk__1 )
!= X0 )
| ~ ( sorti1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( sorti1 @ ( sk_ @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl61,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( j @ sk__1 )
!= X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl36,zip_derived_cl3]) ).
thf(zip_derived_cl64,plain,
( ( j @ sk__1 )
!= ( j @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl61]) ).
thf(zip_derived_cl66,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG019+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.UDYUkNorC9 true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:13:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.04/0.78 % Solved by fo/fo1_av.sh.
% 1.04/0.78 % done 20 iterations in 0.016s
% 1.04/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.04/0.78 % SZS output start Refutation
% See solution above
% 1.04/0.78
% 1.04/0.78
% 1.04/0.78 % Terminating...
% 1.58/0.85 % Runner terminated.
% 1.58/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------