TSTP Solution File: ALG176+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG176+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.QXTUlUJs30 true
% Computer : n006.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 17:11:51 EDT 2023
% Result : Theorem 1.15s 0.82s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 6 unt; 8 typ; 0 def)
% Number of atoms : 105 ( 23 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 363 ( 50 ~; 38 |; 10 &; 243 @)
% ( 0 <=>; 22 =>; 0 <=; 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 : 49 ( 0 ^; 47 !; 2 ?; 49 :)
% 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(op1_type,type,
op1: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $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_cl6,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax4,axiom,
~ ? [U: $i] :
( ! [V: $i] :
( ( sorti2 @ V )
=> ( ( op2 @ V @ U )
!= V ) )
& ( sorti2 @ U ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( ( op2 @ ( sk__1 @ X0 ) @ X0 )
= ( sk__1 @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl9,plain,
! [X4: $i,X5: $i] :
( ~ ( sorti2 @ X4 )
| ( ( j @ ( op2 @ X5 @ X4 ) )
= ( op1 @ ( j @ X5 ) @ ( j @ X4 ) ) )
| ~ ( sorti2 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( ( j @ ( sk__1 @ X0 ) )
= ( op1 @ ( j @ ( sk__1 @ X0 ) ) @ ( j @ X0 ) ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ ( sk__1 @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl9]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] :
( ~ ( sorti2 @ ( sk__1 @ X0 ) )
| ~ ( sorti2 @ X0 )
| ( ( j @ ( sk__1 @ X0 ) )
= ( op1 @ ( j @ ( sk__1 @ X0 ) ) @ ( j @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( sorti2 @ ( sk__1 @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl33,plain,
! [X0: $i] :
( ( ( j @ ( sk__1 @ X0 ) )
= ( op1 @ ( j @ ( sk__1 @ X0 ) ) @ ( j @ X0 ) ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl23,zip_derived_cl5]) ).
thf(zip_derived_cl9_001,plain,
! [X4: $i,X5: $i] :
( ~ ( sorti2 @ X4 )
| ( ( j @ ( op2 @ X5 @ X4 ) )
= ( op1 @ ( j @ X5 ) @ ( j @ X4 ) ) )
| ~ ( sorti2 @ X5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( sorti1 @ ( op1 @ ( j @ X1 ) @ ( j @ X0 ) ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ ( op2 @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl7]) ).
thf(ax2,axiom,
! [U: $i] :
( ( sorti2 @ U )
=> ! [V: $i] :
( ( sorti2 @ V )
=> ( sorti2 @ ( op2 @ U @ V ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ( sorti2 @ ( op2 @ X1 @ X0 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ X1 )
| ( sorti1 @ ( op1 @ ( j @ X1 ) @ ( j @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).
thf(zip_derived_cl37,plain,
! [X0: $i] :
( ( sorti1 @ ( j @ ( sk__1 @ X0 ) ) )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ ( sk__1 @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl24]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ~ ( sorti2 @ ( sk__1 @ X0 ) )
| ~ ( sorti2 @ X0 )
| ( sorti1 @ ( j @ ( sk__1 @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl5_002,plain,
! [X0: $i] :
( ( sorti2 @ ( sk__1 @ X0 ) )
| ~ ( sorti2 @ X0 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl41,plain,
! [X0: $i] :
( ( sorti1 @ ( j @ ( sk__1 @ X0 ) ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33_003,plain,
! [X0: $i] :
( ( ( j @ ( sk__1 @ X0 ) )
= ( op1 @ ( j @ ( sk__1 @ X0 ) ) @ ( j @ X0 ) ) )
| ~ ( sorti2 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl23,zip_derived_cl5]) ).
thf(zip_derived_cl39,plain,
! [X0: $i] :
( ( ( j @ ( sk__1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ ( sk__1 @ ( h @ X0 ) ) ) @ X0 ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl33]) ).
thf(zip_derived_cl6_004,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ ( sorti1 @ X0 )
| ( ( j @ ( sk__1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ ( sk__1 @ ( h @ X0 ) ) ) @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl39,zip_derived_cl6]) ).
thf(ax3,axiom,
? [U: $i] :
( ! [V: $i] :
( ( sorti1 @ V )
=> ( ( op1 @ V @ U )
!= V ) )
& ( sorti1 @ U ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( ( op1 @ X0 @ sk_ )
!= X0 )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl47,plain,
( ( ( j @ ( sk__1 @ ( h @ sk_ ) ) )
!= ( j @ ( sk__1 @ ( h @ sk_ ) ) ) )
| ~ ( sorti1 @ sk_ )
| ~ ( sorti1 @ ( j @ ( sk__1 @ ( h @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl3]) ).
thf(zip_derived_cl2,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl54,plain,
( ( ( j @ ( sk__1 @ ( h @ sk_ ) ) )
!= ( j @ ( sk__1 @ ( h @ sk_ ) ) ) )
| ~ ( sorti1 @ ( j @ ( sk__1 @ ( h @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl2]) ).
thf(zip_derived_cl55,plain,
~ ( sorti1 @ ( j @ ( sk__1 @ ( h @ sk_ ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl58,plain,
~ ( sorti2 @ ( h @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl55]) ).
thf(zip_derived_cl59,plain,
~ ( sorti1 @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl58]) ).
thf(zip_derived_cl2_005,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl60,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : ALG176+1 : TPTP v8.1.2. Released v2.7.0.
% 0.14/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.QXTUlUJs30 true
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 03:37:51 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.15/0.82 % Solved by fo/fo7.sh.
% 1.15/0.82 % done 20 iterations in 0.016s
% 1.15/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.15/0.82 % SZS output start Refutation
% See solution above
% 1.15/0.82
% 1.15/0.82
% 1.15/0.82 % Terminating...
% 1.45/0.89 % Runner terminated.
% 1.45/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------