%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG073+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.lgcSxDkIdq true
% Computer : n021.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 04:27:26 PM UTC 2025
% Result : Theorem 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 164 ( 58 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 541 ( 79 ~; 72 |; 16 &; 354 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 60 ( 0 ^; 56 !; 4 ?; 60 :)
% 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_cl13,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,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(ax3,axiom,
? [U: $i] :
( ? [V: $i] :
( ( ( op1 @ U @ V )
!= U )
& ( ( op1 @ V @ V )
= U )
& ( ( op1 @ U @ U )
= V )
& ( sorti1 @ V ) )
& ( sorti1 @ U ) ) ).
thf(zip_derived_cl5,plain,
( ( op1 @ sk_ @ sk_ )
= sk__1 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl10_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(ax4,axiom,
~ ? [U: $i] :
( ? [V: $i] :
( ( ( op2 @ U @ V )
!= U )
& ( ( op2 @ V @ V )
= U )
& ( ( op2 @ U @ U )
= V )
& ( sorti2 @ V ) )
& ( sorti2 @ U ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X0 )
| ( ( op2 @ X1 @ X1 )
!= X0 )
| ( ( op2 @ X0 @ X0 )
!= X1 )
| ( ( op2 @ X1 @ X0 )
= X1 )
| ~ ( sorti2 @ X1 ) ),
inference(cnf,[status(esa)],[ax4]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ( ( h @ ( op1 @ X0 @ X0 ) )
!= X1 )
| ( ( op2 @ X1 @ X1 )
!= ( h @ X0 ) )
| ( ( op2 @ ( h @ X0 ) @ X1 )
= ( h @ X0 ) )
| ~ ( sorti2 @ ( h @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ ( h @ X0 ) )
| ( ( op2 @ ( h @ X0 ) @ X1 )
= ( h @ X0 ) )
| ( ( op2 @ X1 @ X1 )
!= ( h @ X0 ) )
| ( ( h @ ( op1 @ X0 @ X0 ) )
!= X1 )
| ~ ( sorti2 @ X1 )
| ~ ( sorti1 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl128,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ X1 )
| ( ( h @ ( op1 @ X0 @ X0 ) )
!= X1 )
| ( ( op2 @ X1 @ X1 )
!= ( h @ X0 ) )
| ( ( op2 @ ( h @ X0 ) @ X1 )
= ( h @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl8]) ).
thf(zip_derived_cl132,plain,
! [X0: $i] :
( ~ ( sorti1 @ sk_ )
| ~ ( sorti2 @ X0 )
| ( ( h @ sk__1 )
!= X0 )
| ( ( op2 @ X0 @ X0 )
!= ( h @ sk_ ) )
| ( ( op2 @ ( h @ sk_ ) @ X0 )
= ( h @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl128]) ).
thf(zip_derived_cl2,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl138,plain,
! [X0: $i] :
( ~ ( sorti2 @ X0 )
| ( ( h @ sk__1 )
!= X0 )
| ( ( op2 @ X0 @ X0 )
!= ( h @ sk_ ) )
| ( ( op2 @ ( h @ sk_ ) @ X0 )
= ( h @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl2]) ).
thf(zip_derived_cl145,plain,
( ( ( op2 @ ( h @ sk_ ) @ ( h @ sk__1 ) )
= ( h @ sk_ ) )
| ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk__1 ) )
!= ( h @ sk_ ) )
| ~ ( sorti2 @ ( h @ sk__1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl5_002,plain,
( ( op1 @ sk_ @ sk_ )
= sk__1 ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl10_003,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(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_cl63,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( sorti2 @ ( h @ ( op1 @ X1 @ X0 ) ) )
| ~ ( sorti2 @ ( h @ X1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).
thf(zip_derived_cl8_004,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ ( h @ X1 ) )
| ( sorti2 @ ( h @ ( op1 @ X1 @ X0 ) ) )
| ~ ( sorti1 @ X0 )
| ~ ( sorti1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl8]) ).
thf(zip_derived_cl8_005,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti2 @ ( h @ ( op1 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl8]) ).
thf(zip_derived_cl87,plain,
( ~ ( sorti1 @ sk_ )
| ~ ( sorti1 @ sk_ )
| ( sorti2 @ ( h @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl84]) ).
thf(zip_derived_cl2_006,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl2_007,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl90,plain,
sorti2 @ ( h @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl2,zip_derived_cl2]) ).
thf(zip_derived_cl146,plain,
( ( ( op2 @ ( h @ sk_ ) @ ( h @ sk__1 ) )
= ( h @ sk_ ) )
| ( ( op2 @ ( h @ sk__1 ) @ ( h @ sk__1 ) )
!= ( h @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl90]) ).
thf(zip_derived_cl150,plain,
( ~ ( sorti1 @ sk__1 )
| ~ ( sorti1 @ sk__1 )
| ( ( op2 @ ( h @ sk_ ) @ ( h @ sk__1 ) )
= ( h @ sk_ ) )
| ( ( h @ ( op1 @ sk__1 @ sk__1 ) )
!= ( h @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl146]) ).
thf(zip_derived_cl6,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6_008,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl4,plain,
( ( op1 @ sk__1 @ sk__1 )
= sk_ ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl151,plain,
( ( ( op2 @ ( h @ sk_ ) @ ( h @ sk__1 ) )
= ( h @ sk_ ) )
| ( ( h @ sk_ )
!= ( h @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl6,zip_derived_cl6,zip_derived_cl4]) ).
thf(zip_derived_cl152,plain,
( ( op2 @ ( h @ sk_ ) @ ( h @ sk__1 ) )
= ( h @ sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl151]) ).
thf(zip_derived_cl13_009,plain,
! [X7: $i] :
( ( ( j @ ( h @ X7 ) )
= X7 )
| ~ ( sorti1 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,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_cl69,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X0 )
| ~ ( sorti2 @ ( h @ X0 ) )
| ( ( j @ ( op2 @ X1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ X1 ) @ X0 ) )
| ~ ( sorti2 @ X1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).
thf(zip_derived_cl8_010,plain,
! [X0: $i] :
( ( sorti2 @ ( h @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti2 @ X1 )
| ( ( j @ ( op2 @ X1 @ ( h @ X0 ) ) )
= ( op1 @ ( j @ X1 ) @ X0 ) )
| ~ ( sorti1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl69,zip_derived_cl8]) ).
thf(zip_derived_cl183,plain,
( ~ ( sorti2 @ ( h @ sk_ ) )
| ( ( j @ ( h @ sk_ ) )
= ( op1 @ ( j @ ( h @ sk_ ) ) @ sk__1 ) )
| ~ ( sorti1 @ sk__1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl152,zip_derived_cl174]) ).
thf(zip_derived_cl4_011,plain,
( ( op1 @ sk__1 @ sk__1 )
= sk_ ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl84_012,plain,
! [X0: $i,X1: $i] :
( ~ ( sorti1 @ X1 )
| ~ ( sorti1 @ X0 )
| ( sorti2 @ ( h @ ( op1 @ X1 @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl8]) ).
thf(zip_derived_cl88,plain,
( ~ ( sorti1 @ sk__1 )
| ~ ( sorti1 @ sk__1 )
| ( sorti2 @ ( h @ sk_ ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl84]) ).
thf(zip_derived_cl6_013,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl6_014,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl91,plain,
sorti2 @ ( h @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl6,zip_derived_cl6]) ).
thf(zip_derived_cl6_015,plain,
sorti1 @ sk__1,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl189,plain,
( ( j @ ( h @ sk_ ) )
= ( op1 @ ( j @ ( h @ sk_ ) ) @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl91,zip_derived_cl6]) ).
thf(zip_derived_cl195,plain,
( ~ ( sorti1 @ sk_ )
| ( sk_
= ( op1 @ sk_ @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl189]) ).
thf(zip_derived_cl2_016,plain,
sorti1 @ sk_,
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl196,plain,
( sk_
= ( op1 @ sk_ @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl195,zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
( ( op1 @ sk_ @ sk__1 )
!= sk_ ),
inference(cnf,[status(esa)],[ax3]) ).
thf(zip_derived_cl197,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl196,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : ALG073+1 : TPTP v9.2.0. Released v2.7.0.
% 0.12/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lgcSxDkIdq true
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 16:58:38 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.49/0.61 % Total configuration time : 435
% 0.49/0.61 % Estimated wc time : 1092
% 0.49/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /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
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.77 % Solved by fo/fo6_bce.sh.
% 0.55/0.77 % BCE start: 14
% 0.55/0.77 % BCE eliminated: 0
% 0.55/0.77 % PE start: 14
% 0.55/0.77 logic: eq
% 0.55/0.77 % PE eliminated: 0
% 0.55/0.77 % done 38 iterations in 0.044s
% 0.55/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.77 % SZS output start Refutation
% See solution above
% 0.55/0.77
% 0.55/0.77
% 0.55/0.77 % Terminating...
% 0.55/0.84 % Runner terminated.
% 1.59/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------