%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG178+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.fE9jJZ8Teo 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 : Thu Oct 2 04:28:08 PM UTC 2025
% Result : Theorem 1.20s 0.78s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 108 ( 27 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 368 ( 55 ~; 37 |; 8 &; 244 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% 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 ).
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_cl7,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_001,plain,
! [X1: $i] :
( ( sorti1 @ ( j @ X1 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
! [X6: $i] :
( ( ( h @ ( j @ X6 ) )
= X6 )
| ~ ( sorti2 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ax3,axiom,
! [U: $i] :
( ( sorti1 @ U )
=> ! [V: $i] :
( ( sorti1 @ V )
=> ( ( op1 @ U @ ( op1 @ U @ V ) )
= V ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ( ( op1 @ X1 @ ( op1 @ X1 @ X0 ) )
= X0 )
| ~ ( sorti1 @ X1 ) ),
inference(cnf,[status(esa)],[ax3]) ).
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_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_cl9_002,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_cl10_003,plain,
! [X6: $i] :
( ( ( h @ ( j @ X6 ) )
= X6 )
| ~ ( sorti2 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i] :
( ( ( h @ ( op1 @ ( j @ X1 ) @ ( j @ X0 ) ) )
= ( op2 @ X1 @ X0 ) )
| ~ ( sorti2 @ X1 )
| ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ ( op2 @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl10]) ).
thf(zip_derived_cl1_004,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ( sorti2 @ ( op2 @ X1 @ X0 ) )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[ax2]) ).
thf(zip_derived_cl81,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ~ ( sorti2 @ X1 )
| ( ( h @ ( op1 @ ( j @ X1 ) @ ( j @ X0 ) ) )
= ( op2 @ X1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl1]) ).
thf(ax4,axiom,
~ ! [U: $i] :
( ( sorti2 @ U )
=> ! [V: $i] :
( ( sorti2 @ V )
=> ( ( op2 @ U @ ( op2 @ U @ V ) )
= V ) ) ) ).
thf(zip_derived_cl4,plain,
( ( op2 @ sk_ @ ( op2 @ sk_ @ sk__1 ) )
!= sk__1 ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl85,plain,
( ( ( h @ ( op1 @ ( j @ sk_ ) @ ( j @ ( op2 @ sk_ @ sk__1 ) ) ) )
!= sk__1 )
| ~ ( sorti2 @ sk_ )
| ~ ( sorti2 @ ( op2 @ sk_ @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
sorti2 @ sk_,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl89,plain,
( ( ( h @ ( op1 @ ( j @ sk_ ) @ ( j @ ( op2 @ sk_ @ sk__1 ) ) ) )
!= sk__1 )
| ~ ( sorti2 @ ( op2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl3]) ).
thf(zip_derived_cl98,plain,
( ( ( h @ ( op1 @ ( j @ sk_ ) @ ( op1 @ ( j @ sk_ ) @ ( j @ sk__1 ) ) ) )
!= sk__1 )
| ~ ( sorti2 @ sk_ )
| ~ ( sorti2 @ sk__1 )
| ~ ( sorti2 @ ( op2 @ sk_ @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl89]) ).
thf(zip_derived_cl3_005,plain,
sorti2 @ sk_,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl5,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl100,plain,
( ( ( h @ ( op1 @ ( j @ sk_ ) @ ( op1 @ ( j @ sk_ ) @ ( j @ sk__1 ) ) ) )
!= sk__1 )
| ~ ( sorti2 @ ( op2 @ sk_ @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl103,plain,
( ~ ( sorti2 @ sk_ )
| ~ ( sorti2 @ sk__1 )
| ( ( h @ ( op1 @ ( j @ sk_ ) @ ( op1 @ ( j @ sk_ ) @ ( j @ sk__1 ) ) ) )
!= sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl100]) ).
thf(zip_derived_cl3_006,plain,
sorti2 @ sk_,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl5_007,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl105,plain,
( ( h @ ( op1 @ ( j @ sk_ ) @ ( op1 @ ( j @ sk_ ) @ ( j @ sk__1 ) ) ) )
!= sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl108,plain,
( ( ( h @ ( j @ sk__1 ) )
!= sk__1 )
| ~ ( sorti1 @ ( j @ sk_ ) )
| ~ ( sorti1 @ ( j @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl105]) ).
thf(zip_derived_cl109,plain,
( ( sk__1 != sk__1 )
| ~ ( sorti2 @ sk__1 )
| ~ ( sorti1 @ ( j @ sk__1 ) )
| ~ ( sorti1 @ ( j @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl108]) ).
thf(zip_derived_cl5_008,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl110,plain,
( ( sk__1 != sk__1 )
| ~ ( sorti1 @ ( j @ sk__1 ) )
| ~ ( sorti1 @ ( j @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl109,zip_derived_cl5]) ).
thf(zip_derived_cl111,plain,
( ~ ( sorti1 @ ( j @ sk_ ) )
| ~ ( sorti1 @ ( j @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl113,plain,
( ~ ( sorti2 @ sk__1 )
| ~ ( sorti1 @ ( j @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl111]) ).
thf(zip_derived_cl5_009,plain,
sorti2 @ sk__1,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl114,plain,
~ ( sorti1 @ ( j @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl5]) ).
thf(zip_derived_cl117,plain,
~ ( sorti2 @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl114]) ).
thf(zip_derived_cl3_010,plain,
sorti2 @ sk_,
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl118,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl117,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG178+1 : TPTP v9.2.0. Released v2.7.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fE9jJZ8Teo true
% 0.11/0.32 % Computer : n029.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 17:01:23 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
% 0.64/0.64 % Total configuration time : 435
% 0.64/0.64 % Estimated wc time : 1092
% 0.64/0.64 % Estimated cpu time (7 cpus) : 156.0
% 1.06/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.06/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.06/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.06/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.20/0.78 % Solved by fo/fo3_bce.sh.
% 1.20/0.78 % BCE start: 12
% 1.20/0.78 % BCE eliminated: 0
% 1.20/0.78 % PE start: 12
% 1.20/0.78 logic: eq
% 1.20/0.78 % PE eliminated: 0
% 1.20/0.78 % done 26 iterations in 0.031s
% 1.20/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.20/0.78 % SZS output start Refutation
% See solution above
% 1.20/0.78
% 1.20/0.78
% 1.20/0.78 % Terminating...
% 1.52/0.93 % Runner terminated.
% 1.52/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------