TSTP Solution File: PUZ133+2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ133+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.d212IQFYQr true
% Computer : n001.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 Aug 31 13:31:17 EDT 2023
% Result : Theorem 170.76s 25.62s
% Output : Refutation 170.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 22
% Syntax : Number of formulae : 183 ( 79 unt; 13 typ; 0 def)
% Number of atoms : 345 ( 148 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1639 ( 196 ~; 148 |; 16 &;1268 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 199 ( 0 ^; 199 !; 0 ?; 199 :)
% Comments :
%------------------------------------------------------------------------------
thf(plus_type,type,
plus: $i > $i > $i ).
thf(perm_type,type,
perm: $i > $i ).
thf(queens_q_type,type,
queens_q: $o ).
thf(n_type,type,
n: $i ).
thf(le_type,type,
le: $i > $i > $o ).
thf(p_type,type,
p: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__type,type,
sk_: $i ).
thf(queens_p_type,type,
queens_p: $o ).
thf(minus_type,type,
minus: $i > $i > $i ).
thf(s_type,type,
s: $i > $i ).
thf(n0_type,type,
n0: $i ).
thf(q_type,type,
q: $i > $i ).
thf(queens_q,axiom,
( ! [I: $i,J: $i] :
( ( ( le @ ( s @ n0 ) @ I )
& ( le @ I @ n )
& ( le @ ( s @ I ) @ J )
& ( le @ J @ n )
& ( ( le @ ( s @ I ) @ J )
<=> ( le @ ( s @ ( perm @ J ) ) @ ( perm @ I ) ) ) )
=> ( ( ( q @ I )
!= ( q @ J ) )
& ( ( plus @ ( q @ I ) @ I )
!= ( plus @ ( q @ J ) @ J ) )
& ( ( minus @ ( q @ I ) @ I )
!= ( minus @ ( q @ J ) @ J ) ) ) )
=> queens_q ) ).
thf(zip_derived_cl5,plain,
( queens_q
| ( le @ ( s @ n0 ) @ sk_ ) ),
inference(cnf,[status(esa)],[queens_q]) ).
thf(queens_sym,conjecture,
( ( queens_p
& ! [I: $i] :
( ( q @ I )
= ( p @ ( perm @ I ) ) ) )
=> queens_q ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( queens_p
& ! [I: $i] :
( ( q @ I )
= ( p @ ( perm @ I ) ) ) )
=> queens_q ),
inference('cnf.neg',[status(esa)],[queens_sym]) ).
thf(zip_derived_cl13,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
le @ ( s @ n0 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(le_trans,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( le @ X @ Y )
& ( le @ Y @ Z ) )
=> ( le @ X @ Z ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( le @ X0 @ X1 )
| ~ ( le @ X1 @ X2 )
| ( le @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[le_trans]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl17]) ).
thf(permutation_range,axiom,
! [I: $i] :
( ( ( le @ ( s @ n0 ) @ I )
& ( le @ I @ n ) )
=> ( ( le @ ( s @ n0 ) @ ( perm @ I ) )
& ( le @ ( perm @ I ) @ n ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( le @ ( s @ n0 ) @ ( perm @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation_range]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( le @ ( perm @ X0 ) @ n )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation_range]) ).
thf(zip_derived_cl9,plain,
( queens_q
| ( le @ ( s @ ( perm @ sk__1 ) ) @ ( perm @ sk_ ) )
| ~ ( le @ ( s @ sk_ ) @ sk__1 ) ),
inference(cnf,[status(esa)],[queens_q]) ).
thf(zip_derived_cl13_001,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
( queens_q
| ( le @ ( s @ sk_ ) @ sk__1 ) ),
inference(cnf,[status(esa)],[queens_q]) ).
thf(zip_derived_cl13_002,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
le @ ( s @ sk_ ) @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).
thf(zip_derived_cl50,plain,
le @ ( s @ ( perm @ sk__1 ) ) @ ( perm @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl13,zip_derived_cl42]) ).
thf(queens_p,axiom,
( queens_p
=> ! [I: $i,J: $i] :
( ( ( le @ ( s @ n0 ) @ I )
& ( le @ I @ n )
& ( le @ ( s @ I ) @ J )
& ( le @ J @ n ) )
=> ( ( ( p @ I )
!= ( p @ J ) )
& ( ( plus @ ( p @ I ) @ I )
!= ( plus @ ( p @ J ) @ J ) )
& ( ( minus @ ( p @ I ) @ I )
!= ( minus @ ( p @ J ) @ J ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( ( p @ X1 )
!= ( p @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ X1 ) @ X0 )
| ~ ( le @ ( s @ n0 ) @ X1 )
| ~ ( le @ X1 @ n )
| ~ queens_p ),
inference(cnf,[status(esa)],[queens_p]) ).
thf(zip_derived_cl11,plain,
queens_p,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( ( p @ X1 )
!= ( p @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ X1 ) @ X0 )
| ~ ( le @ ( s @ n0 ) @ X1 )
| ~ ( le @ X1 @ n ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl11]) ).
thf(zip_derived_cl52,plain,
( ~ ( le @ ( perm @ sk__1 ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ( ( p @ ( perm @ sk__1 ) )
!= ( p @ ( perm @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl25]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( perm @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_003,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( perm @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl54,plain,
( ~ ( le @ ( perm @ sk__1 ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ( ( q @ sk__1 )
!= ( q @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl10,plain,
( queens_q
| ( ( q @ sk_ )
= ( q @ sk__1 ) )
| ( ( plus @ ( q @ sk_ ) @ sk_ )
= ( plus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) ) ),
inference(cnf,[status(esa)],[queens_q]) ).
thf(zip_derived_cl13_004,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl282,plain,
( ( ( q @ sk_ )
= ( q @ sk__1 ) )
| ( ( plus @ ( q @ sk_ ) @ sk_ )
= ( plus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl13]) ).
thf(plus1,axiom,
! [I: $i,J: $i,K: $i,L: $i] :
( ( ( plus @ I @ J )
= ( plus @ K @ L ) )
<=> ( ( minus @ I @ K )
= ( minus @ L @ J ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( plus @ X2 @ X3 )
= ( plus @ X0 @ X1 ) )
| ( ( minus @ X2 @ X0 )
!= ( minus @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[plus1]) ).
thf(zip_derived_cl815,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl856,plain,
( ( ( q @ sk_ )
= ( q @ sk__1 ) )
| ( ( plus @ sk_ @ ( q @ sk_ ) )
= ( plus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl282,zip_derived_cl815]) ).
thf(zip_derived_cl815_005,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl15603,plain,
( ( ( plus @ sk__1 @ ( q @ sk__1 ) )
= ( plus @ sk_ @ ( q @ sk_ ) ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( q @ sk_ )
= ( q @ sk__1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl856,zip_derived_cl815]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X2 @ X3 )
= ( minus @ X0 @ X1 ) )
| ( ( plus @ X2 @ X1 )
!= ( plus @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[plus1]) ).
thf(minus1,axiom,
! [I: $i,J: $i,K: $i,L: $i] :
( ( ( minus @ I @ J )
= ( minus @ K @ L ) )
<=> ( ( minus @ I @ K )
= ( minus @ J @ L ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X2 @ X3 )
= ( minus @ X0 @ X1 ) )
| ( ( minus @ X2 @ X0 )
!= ( minus @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[minus1]) ).
thf(permutation_another_one,axiom,
! [J: $i,I: $i] :
( ( minus @ I @ J )
= ( minus @ ( perm @ J ) @ ( perm @ I ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ X0 )
= ( minus @ ( perm @ X0 ) @ ( perm @ X1 ) ) ),
inference(cnf,[status(esa)],[permutation_another_one]) ).
thf(zip_derived_cl920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X3 @ X2 )
= ( minus @ X1 @ X0 ) )
| ( ( minus @ X1 @ ( perm @ X2 ) )
!= ( minus @ X0 @ ( perm @ X3 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).
thf(zip_derived_cl35_006,plain,
! [X0: $i] :
( ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl17]) ).
thf(zip_derived_cl14_007,plain,
! [X0: $i] :
( ( le @ ( s @ n0 ) @ ( perm @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation_range]) ).
thf(zip_derived_cl15_008,plain,
! [X0: $i] :
( ( le @ ( perm @ X0 ) @ n )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation_range]) ).
thf(zip_derived_cl50_009,plain,
le @ ( s @ ( perm @ sk__1 ) ) @ ( perm @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl13,zip_derived_cl42]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( ( minus @ ( p @ X1 ) @ X1 )
!= ( minus @ ( p @ X0 ) @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ X1 ) @ X0 )
| ~ ( le @ ( s @ n0 ) @ X1 )
| ~ ( le @ X1 @ n )
| ~ queens_p ),
inference(cnf,[status(esa)],[queens_p]) ).
thf(zip_derived_cl11_010,plain,
queens_p,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i] :
( ( ( minus @ ( p @ X1 ) @ X1 )
!= ( minus @ ( p @ X0 ) @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ X1 ) @ X0 )
| ~ ( le @ ( s @ n0 ) @ X1 )
| ~ ( le @ X1 @ n ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).
thf(zip_derived_cl116,plain,
( ~ ( le @ ( perm @ sk__1 ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ( ( minus @ ( p @ ( perm @ sk__1 ) ) @ ( perm @ sk__1 ) )
!= ( minus @ ( p @ ( perm @ sk_ ) ) @ ( perm @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl112]) ).
thf(zip_derived_cl12_011,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( perm @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_012,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( perm @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl119,plain,
( ~ ( le @ ( perm @ sk__1 ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ( ( minus @ ( q @ sk__1 ) @ ( perm @ sk__1 ) )
!= ( minus @ ( q @ sk_ ) @ ( perm @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl16_013,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ X0 )
= ( minus @ ( perm @ X0 ) @ ( perm @ X1 ) ) ),
inference(cnf,[status(esa)],[permutation_another_one]) ).
thf(zip_derived_cl19_014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X2 @ X3 )
= ( minus @ X0 @ X1 ) )
| ( ( plus @ X2 @ X1 )
!= ( plus @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[plus1]) ).
thf(zip_derived_cl701,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ X0 )
= ( minus @ X1 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21_015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X2 @ X3 )
= ( minus @ X0 @ X1 ) )
| ( ( minus @ X2 @ X0 )
!= ( minus @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[minus1]) ).
thf(zip_derived_cl943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X0 @ X0 )
= ( minus @ X2 @ X1 ) )
| ( ( minus @ X3 @ X2 )
!= ( minus @ X3 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl701,zip_derived_cl21]) ).
thf(zip_derived_cl1200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X1 @ X0 )
!= ( minus @ ( perm @ X0 ) @ X2 ) )
| ( ( minus @ X3 @ X3 )
= ( minus @ ( perm @ X1 ) @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl943]) ).
thf(zip_derived_cl1893,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ X0 )
= ( minus @ ( perm @ ( perm @ X1 ) ) @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1200]) ).
thf(zip_derived_cl701_016,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ X0 )
= ( minus @ X1 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21_017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X2 @ X3 )
= ( minus @ X0 @ X1 ) )
| ( ( minus @ X2 @ X0 )
!= ( minus @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[minus1]) ).
thf(zip_derived_cl961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X3 @ X2 )
!= ( minus @ X0 @ X0 ) )
| ( ( minus @ X3 @ X1 )
= ( minus @ X2 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl701,zip_derived_cl21]) ).
thf(zip_derived_cl1916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X0 @ X0 )
!= ( minus @ X1 @ X1 ) )
| ( ( minus @ ( perm @ ( perm @ X2 ) ) @ X3 )
= ( minus @ X2 @ X3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1893,zip_derived_cl961]) ).
thf(zip_derived_cl701_018,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ X0 )
= ( minus @ X1 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl2016,plain,
! [X2: $i,X3: $i] :
( ( minus @ ( perm @ ( perm @ X2 ) ) @ X3 )
= ( minus @ X2 @ X3 ) ),
inference('simplify_reflect+',[status(thm)],[zip_derived_cl1916,zip_derived_cl701]) ).
thf(zip_derived_cl16_019,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ X0 )
= ( minus @ ( perm @ X0 ) @ ( perm @ X1 ) ) ),
inference(cnf,[status(esa)],[permutation_another_one]) ).
thf(zip_derived_cl2502,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ ( perm @ X1 ) )
= ( minus @ X1 @ ( perm @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2016,zip_derived_cl16]) ).
thf(zip_derived_cl2502_020,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ ( perm @ X1 ) )
= ( minus @ X1 @ ( perm @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2016,zip_derived_cl16]) ).
thf(zip_derived_cl2986,plain,
( ~ ( le @ ( perm @ sk__1 ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ( ( minus @ sk__1 @ ( perm @ ( q @ sk__1 ) ) )
!= ( minus @ sk_ @ ( perm @ ( q @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl2502,zip_derived_cl2502]) ).
thf(succ_le,axiom,
! [X: $i] : ( le @ X @ ( s @ X ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] : ( le @ X0 @ ( s @ X0 ) ),
inference(cnf,[status(esa)],[succ_le]) ).
thf(zip_derived_cl17_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( le @ X0 @ X1 )
| ~ ( le @ X1 @ X2 )
| ( le @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[le_trans]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ( le @ X0 @ X1 )
| ~ ( le @ ( s @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl17]) ).
thf(zip_derived_cl50_022,plain,
le @ ( s @ ( perm @ sk__1 ) ) @ ( perm @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl13,zip_derived_cl42]) ).
thf(zip_derived_cl58,plain,
le @ ( perm @ sk__1 ) @ ( perm @ sk_ ),
inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl50]) ).
thf(zip_derived_cl17_023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( le @ X0 @ X1 )
| ~ ( le @ X1 @ X2 )
| ( le @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[le_trans]) ).
thf(zip_derived_cl122,plain,
! [X0: $i] :
( ( le @ ( perm @ sk__1 ) @ X0 )
| ~ ( le @ ( perm @ sk_ ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).
thf(zip_derived_cl6176,plain,
( ( ( minus @ sk__1 @ ( perm @ ( q @ sk__1 ) ) )
!= ( minus @ sk_ @ ( perm @ ( q @ sk_ ) ) ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2986,zip_derived_cl122]) ).
thf(zip_derived_cl6178,plain,
( ~ ( le @ ( s @ n0 ) @ sk_ )
| ~ ( le @ sk_ @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ( ( minus @ sk__1 @ ( perm @ ( q @ sk__1 ) ) )
!= ( minus @ sk_ @ ( perm @ ( q @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl6176]) ).
thf(zip_derived_cl34_024,plain,
le @ ( s @ n0 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl4,plain,
( queens_q
| ( le @ sk_ @ n ) ),
inference(cnf,[status(esa)],[queens_q]) ).
thf(zip_derived_cl13_025,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl30,plain,
le @ sk_ @ n,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).
thf(zip_derived_cl6183,plain,
( ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ( ( minus @ sk__1 @ ( perm @ ( q @ sk__1 ) ) )
!= ( minus @ sk_ @ ( perm @ ( q @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6178,zip_derived_cl34,zip_derived_cl30]) ).
thf(zip_derived_cl6186,plain,
( ~ ( le @ ( s @ n0 ) @ sk__1 )
| ~ ( le @ sk__1 @ n )
| ( ( minus @ sk__1 @ ( perm @ ( q @ sk__1 ) ) )
!= ( minus @ sk_ @ ( perm @ ( q @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl6183]) ).
thf(zip_derived_cl7,plain,
( queens_q
| ( le @ sk__1 @ n ) ),
inference(cnf,[status(esa)],[queens_q]) ).
thf(zip_derived_cl13_026,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
le @ sk__1 @ n,
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf(zip_derived_cl6187,plain,
( ~ ( le @ ( s @ n0 ) @ sk__1 )
| ( ( minus @ sk__1 @ ( perm @ ( q @ sk__1 ) ) )
!= ( minus @ sk_ @ ( perm @ ( q @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6186,zip_derived_cl32]) ).
thf(zip_derived_cl6189,plain,
( ~ ( le @ sk_ @ sk__1 )
| ( ( minus @ sk__1 @ ( perm @ ( q @ sk__1 ) ) )
!= ( minus @ sk_ @ ( perm @ ( q @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl6187]) ).
thf(zip_derived_cl28_027,plain,
! [X0: $i,X1: $i] :
( ( le @ X0 @ X1 )
| ~ ( le @ ( s @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl17]) ).
thf(zip_derived_cl42_028,plain,
le @ ( s @ sk_ ) @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).
thf(zip_derived_cl60,plain,
le @ sk_ @ sk__1,
inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl42]) ).
thf(zip_derived_cl6191,plain,
( ( minus @ sk__1 @ ( perm @ ( q @ sk__1 ) ) )
!= ( minus @ sk_ @ ( perm @ ( q @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6189,zip_derived_cl60]) ).
thf(zip_derived_cl36302,plain,
! [X0: $i,X1: $i] :
( ( ( minus @ X1 @ X0 )
!= ( minus @ sk_ @ ( perm @ ( q @ sk_ ) ) ) )
| ( ( minus @ sk__1 @ ( perm @ X0 ) )
!= ( minus @ ( perm @ ( q @ sk__1 ) ) @ ( perm @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl920,zip_derived_cl6191]) ).
thf(zip_derived_cl16_029,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ X0 )
= ( minus @ ( perm @ X0 ) @ ( perm @ X1 ) ) ),
inference(cnf,[status(esa)],[permutation_another_one]) ).
thf(zip_derived_cl36980,plain,
! [X0: $i,X1: $i] :
( ( ( minus @ X1 @ X0 )
!= ( minus @ sk_ @ ( perm @ ( q @ sk_ ) ) ) )
| ( ( minus @ sk__1 @ ( perm @ X0 ) )
!= ( minus @ X1 @ ( q @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl36302,zip_derived_cl16]) ).
thf(zip_derived_cl68656,plain,
( ( minus @ sk__1 @ ( perm @ ( perm @ ( q @ sk_ ) ) ) )
!= ( minus @ sk_ @ ( q @ sk__1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl36980]) ).
thf(zip_derived_cl1893_030,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ X0 )
= ( minus @ ( perm @ ( perm @ X1 ) ) @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1200]) ).
thf(zip_derived_cl701_031,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ X0 )
= ( minus @ X1 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl21_032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X2 @ X3 )
= ( minus @ X0 @ X1 ) )
| ( ( minus @ X2 @ X0 )
!= ( minus @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[minus1]) ).
thf(zip_derived_cl953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X0 @ X0 )
!= ( minus @ X2 @ X1 ) )
| ( ( minus @ X3 @ X2 )
= ( minus @ X3 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl701,zip_derived_cl21]) ).
thf(zip_derived_cl1918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X2 @ X2 )
!= ( minus @ X0 @ X0 ) )
| ( ( minus @ X3 @ ( perm @ ( perm @ X1 ) ) )
= ( minus @ X3 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1893,zip_derived_cl953]) ).
thf(zip_derived_cl701_033,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ X0 )
= ( minus @ X1 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl2018,plain,
! [X1: $i,X3: $i] :
( ( minus @ X3 @ ( perm @ ( perm @ X1 ) ) )
= ( minus @ X3 @ X1 ) ),
inference('simplify_reflect+',[status(thm)],[zip_derived_cl1918,zip_derived_cl701]) ).
thf(zip_derived_cl68657,plain,
( ( minus @ sk__1 @ ( q @ sk_ ) )
!= ( minus @ sk_ @ ( q @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl68656,zip_derived_cl2018]) ).
thf(zip_derived_cl68704,plain,
! [X0: $i,X1: $i] :
( ( ( minus @ X1 @ X0 )
!= ( minus @ sk_ @ ( q @ sk__1 ) ) )
| ( ( plus @ X1 @ ( q @ sk_ ) )
!= ( plus @ X0 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl68657]) ).
thf(zip_derived_cl104579,plain,
( ( plus @ sk_ @ ( q @ sk_ ) )
!= ( plus @ ( q @ sk__1 ) @ sk__1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl68704]) ).
thf(zip_derived_cl815_034,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl104580,plain,
( ( plus @ sk_ @ ( q @ sk_ ) )
!= ( plus @ sk__1 @ ( q @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl104579,zip_derived_cl815]) ).
thf(zip_derived_cl104626,plain,
( ( ( plus @ sk_ @ ( q @ sk_ ) )
!= ( plus @ sk_ @ ( q @ sk_ ) ) )
| ( ( q @ sk_ )
= ( q @ sk__1 ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15603,zip_derived_cl104580]) ).
thf(zip_derived_cl104628,plain,
( ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( q @ sk_ )
= ( q @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl104626]) ).
thf(zip_derived_cl21_035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X2 @ X3 )
= ( minus @ X0 @ X1 ) )
| ( ( minus @ X2 @ X0 )
!= ( minus @ X3 @ X1 ) ) ),
inference(cnf,[status(esa)],[minus1]) ).
thf(zip_derived_cl16_036,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ X0 )
= ( minus @ ( perm @ X0 ) @ ( perm @ X1 ) ) ),
inference(cnf,[status(esa)],[permutation_another_one]) ).
thf(zip_derived_cl940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X3 @ X2 )
= ( minus @ X1 @ X0 ) )
| ( ( minus @ ( perm @ X2 ) @ X1 )
!= ( minus @ ( perm @ X3 ) @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl21,zip_derived_cl16]) ).
thf(zip_derived_cl815_037,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl20_038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( plus @ X2 @ X3 )
= ( plus @ X0 @ X1 ) )
| ( ( minus @ X2 @ X0 )
!= ( minus @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[plus1]) ).
thf(zip_derived_cl35_039,plain,
! [X0: $i] :
( ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ sk_ @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl17]) ).
thf(zip_derived_cl14_040,plain,
! [X0: $i] :
( ( le @ ( s @ n0 ) @ ( perm @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation_range]) ).
thf(zip_derived_cl15_041,plain,
! [X0: $i] :
( ( le @ ( perm @ X0 ) @ n )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation_range]) ).
thf(zip_derived_cl50_042,plain,
le @ ( s @ ( perm @ sk__1 ) ) @ ( perm @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl13,zip_derived_cl42]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( ( plus @ ( p @ X1 ) @ X1 )
!= ( plus @ ( p @ X0 ) @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ X1 ) @ X0 )
| ~ ( le @ ( s @ n0 ) @ X1 )
| ~ ( le @ X1 @ n )
| ~ queens_p ),
inference(cnf,[status(esa)],[queens_p]) ).
thf(zip_derived_cl11_043,plain,
queens_p,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( ( plus @ ( p @ X1 ) @ X1 )
!= ( plus @ ( p @ X0 ) @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ X1 ) @ X0 )
| ~ ( le @ ( s @ n0 ) @ X1 )
| ~ ( le @ X1 @ n ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl11]) ).
thf(zip_derived_cl53,plain,
( ~ ( le @ ( perm @ sk__1 ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ( ( plus @ ( p @ ( perm @ sk__1 ) ) @ ( perm @ sk__1 ) )
!= ( plus @ ( p @ ( perm @ sk_ ) ) @ ( perm @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl38]) ).
thf(zip_derived_cl12_044,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( perm @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_045,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( perm @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
( ~ ( le @ ( perm @ sk__1 ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ( ( plus @ ( q @ sk__1 ) @ ( perm @ sk__1 ) )
!= ( plus @ ( q @ sk_ ) @ ( perm @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl12,zip_derived_cl12]) ).
thf(zip_derived_cl815_046,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl815_047,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl855,plain,
( ~ ( le @ ( perm @ sk__1 ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ( ( plus @ ( perm @ sk__1 ) @ ( q @ sk__1 ) )
!= ( plus @ ( perm @ sk_ ) @ ( q @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl815,zip_derived_cl815]) ).
thf(zip_derived_cl122_048,plain,
! [X0: $i] :
( ( le @ ( perm @ sk__1 ) @ X0 )
| ~ ( le @ ( perm @ sk_ ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).
thf(zip_derived_cl6127,plain,
( ( ( plus @ ( perm @ sk__1 ) @ ( q @ sk__1 ) )
!= ( plus @ ( perm @ sk_ ) @ ( q @ sk_ ) ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl855,zip_derived_cl122]) ).
thf(zip_derived_cl6129,plain,
( ~ ( le @ ( s @ n0 ) @ sk_ )
| ~ ( le @ sk_ @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ( ( plus @ ( perm @ sk__1 ) @ ( q @ sk__1 ) )
!= ( plus @ ( perm @ sk_ ) @ ( q @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl6127]) ).
thf(zip_derived_cl34_049,plain,
le @ ( s @ n0 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl30_050,plain,
le @ sk_ @ n,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).
thf(zip_derived_cl6134,plain,
( ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ( ( plus @ ( perm @ sk__1 ) @ ( q @ sk__1 ) )
!= ( plus @ ( perm @ sk_ ) @ ( q @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6129,zip_derived_cl34,zip_derived_cl30]) ).
thf(zip_derived_cl6137,plain,
( ~ ( le @ ( s @ n0 ) @ sk__1 )
| ~ ( le @ sk__1 @ n )
| ( ( plus @ ( perm @ sk__1 ) @ ( q @ sk__1 ) )
!= ( plus @ ( perm @ sk_ ) @ ( q @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl6134]) ).
thf(zip_derived_cl32_051,plain,
le @ sk__1 @ n,
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf(zip_derived_cl6138,plain,
( ~ ( le @ ( s @ n0 ) @ sk__1 )
| ( ( plus @ ( perm @ sk__1 ) @ ( q @ sk__1 ) )
!= ( plus @ ( perm @ sk_ ) @ ( q @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6137,zip_derived_cl32]) ).
thf(zip_derived_cl6140,plain,
( ~ ( le @ sk_ @ sk__1 )
| ( ( plus @ ( perm @ sk__1 ) @ ( q @ sk__1 ) )
!= ( plus @ ( perm @ sk_ ) @ ( q @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl6138]) ).
thf(zip_derived_cl60_052,plain,
le @ sk_ @ sk__1,
inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl42]) ).
thf(zip_derived_cl6142,plain,
( ( plus @ ( perm @ sk__1 ) @ ( q @ sk__1 ) )
!= ( plus @ ( perm @ sk_ ) @ ( q @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6140,zip_derived_cl60]) ).
thf(zip_derived_cl6143,plain,
! [X0: $i,X1: $i] :
( ( ( plus @ X1 @ X0 )
!= ( plus @ ( perm @ sk_ ) @ ( q @ sk_ ) ) )
| ( ( minus @ X1 @ ( perm @ sk__1 ) )
!= ( minus @ ( q @ sk__1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl6142]) ).
thf(zip_derived_cl9741,plain,
! [X0: $i,X1: $i] :
( ( ( plus @ X1 @ X0 )
!= ( plus @ ( perm @ sk_ ) @ ( q @ sk_ ) ) )
| ( ( minus @ X0 @ ( perm @ sk__1 ) )
!= ( minus @ ( q @ sk__1 ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl815,zip_derived_cl6143]) ).
thf(zip_derived_cl22288,plain,
( ( minus @ ( q @ sk_ ) @ ( perm @ sk__1 ) )
!= ( minus @ ( q @ sk__1 ) @ ( perm @ sk_ ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9741]) ).
thf(zip_derived_cl2502_053,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ ( perm @ X1 ) )
= ( minus @ X1 @ ( perm @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2016,zip_derived_cl16]) ).
thf(zip_derived_cl2502_054,plain,
! [X0: $i,X1: $i] :
( ( minus @ X0 @ ( perm @ X1 ) )
= ( minus @ X1 @ ( perm @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2016,zip_derived_cl16]) ).
thf(zip_derived_cl22289,plain,
( ( minus @ sk__1 @ ( perm @ ( q @ sk_ ) ) )
!= ( minus @ sk_ @ ( perm @ ( q @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22288,zip_derived_cl2502,zip_derived_cl2502]) ).
thf(zip_derived_cl42573,plain,
! [X0: $i,X1: $i] :
( ( ( minus @ X1 @ X0 )
!= ( minus @ sk_ @ ( perm @ ( q @ sk__1 ) ) ) )
| ( ( minus @ ( perm @ X0 ) @ sk__1 )
!= ( minus @ ( perm @ X1 ) @ ( perm @ ( q @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl940,zip_derived_cl22289]) ).
thf(zip_derived_cl16_055,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ X0 )
= ( minus @ ( perm @ X0 ) @ ( perm @ X1 ) ) ),
inference(cnf,[status(esa)],[permutation_another_one]) ).
thf(zip_derived_cl43321,plain,
! [X0: $i,X1: $i] :
( ( ( minus @ X1 @ X0 )
!= ( minus @ sk_ @ ( perm @ ( q @ sk__1 ) ) ) )
| ( ( minus @ ( perm @ X0 ) @ sk__1 )
!= ( minus @ ( q @ sk_ ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl42573,zip_derived_cl16]) ).
thf(zip_derived_cl77130,plain,
( ( minus @ ( perm @ ( perm @ ( q @ sk__1 ) ) ) @ sk__1 )
!= ( minus @ ( q @ sk_ ) @ sk_ ) ),
inference(eq_res,[status(thm)],[zip_derived_cl43321]) ).
thf(zip_derived_cl2016_056,plain,
! [X2: $i,X3: $i] :
( ( minus @ ( perm @ ( perm @ X2 ) ) @ X3 )
= ( minus @ X2 @ X3 ) ),
inference('simplify_reflect+',[status(thm)],[zip_derived_cl1916,zip_derived_cl701]) ).
thf(zip_derived_cl77131,plain,
( ( minus @ ( q @ sk__1 ) @ sk__1 )
!= ( minus @ ( q @ sk_ ) @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl77130,zip_derived_cl2016]) ).
thf(zip_derived_cl104629,plain,
( ( q @ sk_ )
= ( q @ sk__1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl104628,zip_derived_cl77131]) ).
thf(zip_derived_cl104762,plain,
( ~ ( le @ ( perm @ sk__1 ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk_ ) @ n )
| ( ( q @ sk_ )
!= ( q @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl104629]) ).
thf(zip_derived_cl104763,plain,
( ~ ( le @ ( perm @ sk_ ) @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk__1 ) @ n ) ),
inference(simplify,[status(thm)],[zip_derived_cl104762]) ).
thf(zip_derived_cl122_057,plain,
! [X0: $i] :
( ( le @ ( perm @ sk__1 ) @ X0 )
| ~ ( le @ ( perm @ sk_ ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl17]) ).
thf(zip_derived_cl105624,plain,
( ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) )
| ~ ( le @ ( perm @ sk_ ) @ n ) ),
inference(clc,[status(thm)],[zip_derived_cl104763,zip_derived_cl122]) ).
thf(zip_derived_cl105633,plain,
( ~ ( le @ ( s @ n0 ) @ sk_ )
| ~ ( le @ sk_ @ n )
| ~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl105624]) ).
thf(zip_derived_cl34_058,plain,
le @ ( s @ n0 ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl30_059,plain,
le @ sk_ @ n,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).
thf(zip_derived_cl105647,plain,
~ ( le @ ( s @ n0 ) @ ( perm @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl105633,zip_derived_cl34,zip_derived_cl30]) ).
thf(zip_derived_cl105655,plain,
( ~ ( le @ ( s @ n0 ) @ sk__1 )
| ~ ( le @ sk__1 @ n ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl105647]) ).
thf(zip_derived_cl32_060,plain,
le @ sk__1 @ n,
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf(zip_derived_cl105660,plain,
~ ( le @ ( s @ n0 ) @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl105655,zip_derived_cl32]) ).
thf(zip_derived_cl105683,plain,
~ ( le @ sk_ @ sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl105660]) ).
thf(zip_derived_cl60_061,plain,
le @ sk_ @ sk__1,
inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl42]) ).
thf(zip_derived_cl105687,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl105683,zip_derived_cl60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : PUZ133+2 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.d212IQFYQr true
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 23:14:46 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.21/0.68 % Total configuration time : 435
% 0.21/0.68 % Estimated wc time : 1092
% 0.21/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 170.76/25.62 % Solved by fo/fo4.sh.
% 170.76/25.62 % done 11903 iterations in 24.816s
% 170.76/25.62 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 170.76/25.62 % SZS output start Refutation
% See solution above
% 170.76/25.62
% 170.76/25.62
% 170.76/25.62 % Terminating...
% 171.40/25.72 % Runner terminated.
% 171.40/25.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------