TSTP Solution File: PUZ133+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ133+1 : 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.el23wlEWJN true
% Computer : n009.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 13:31:16 EDT 2023
% Result : Theorem 155.61s 22.86s
% Output : Refutation 155.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 157 ( 63 unt; 13 typ; 0 def)
% Number of atoms : 371 ( 124 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2001 ( 227 ~; 200 |; 16 &;1547 @)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 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 : 173 ( 0 ^; 173 !; 0 ?; 173 :)
% 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_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(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_cl116,plain,
( ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( plus @ ( q @ sk_ ) @ sk_ )
= ( plus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( q @ sk_ )
= ( q @ sk__1 ) ) ),
inference('dp-resolution',[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_cl183,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl183_001,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl256,plain,
( ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( plus @ sk_ @ ( q @ sk_ ) )
= ( plus @ sk__1 @ ( q @ sk__1 ) ) )
| ( ( q @ sk_ )
= ( q @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl183,zip_derived_cl183]) ).
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(zip_derived_cl257,plain,
! [X0: $i,X1: $i] :
( ( ( q @ sk_ )
= ( q @ sk__1 ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( minus @ X1 @ sk__1 )
= ( minus @ ( q @ sk__1 ) @ X0 ) )
| ( ( plus @ X1 @ X0 )
!= ( plus @ sk_ @ ( q @ sk_ ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl256,zip_derived_cl19]) ).
thf(zip_derived_cl624,plain,
( ( ( minus @ sk_ @ sk__1 )
= ( minus @ ( q @ sk__1 ) @ ( q @ sk_ ) ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( q @ sk_ )
= ( q @ sk__1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl257]) ).
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(permutation,axiom,
! [I: $i] :
( ( perm @ I )
= ( minus @ ( s @ n ) @ I ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( perm @ X0 )
= ( minus @ ( s @ n ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation]) ).
thf(zip_derived_cl3_002,plain,
! [X0: $i] :
( ( perm @ X0 )
= ( minus @ ( s @ n ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation]) ).
thf(zip_derived_cl140,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ X0 )
= ( minus @ ( minus @ ( s @ n ) @ X0 ) @ ( minus @ ( s @ n ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl3,zip_derived_cl3]) ).
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(zip_derived_cl191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X3 @ ( minus @ ( s @ n ) @ X0 ) )
= ( minus @ X2 @ ( minus @ ( s @ n ) @ X1 ) ) )
| ( ( minus @ X3 @ X2 )
!= ( minus @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl21]) ).
thf(zip_derived_cl2318,plain,
! [X0: $i,X1: $i] :
( ( ( q @ sk_ )
= ( q @ sk__1 ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( minus @ ( q @ sk__1 ) @ ( minus @ ( s @ n ) @ X0 ) )
= ( minus @ ( q @ sk_ ) @ ( minus @ ( s @ n ) @ X1 ) ) )
| ( ( minus @ sk_ @ sk__1 )
!= ( minus @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl624,zip_derived_cl191]) ).
thf(zip_derived_cl7,plain,
( queens_q
| ( le @ sk__1 @ n ) ),
inference(cnf,[status(esa)],[queens_q]) ).
thf(zip_derived_cl13_003,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113,plain,
le @ sk__1 @ n,
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf(zip_derived_cl4,plain,
( queens_q
| ( le @ sk_ @ n ) ),
inference(cnf,[status(esa)],[queens_q]) ).
thf(zip_derived_cl13_004,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl110,plain,
le @ sk_ @ n,
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).
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_cl15,plain,
! [X0: $i] :
( ( le @ ( perm @ X0 ) @ n )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation_range]) ).
thf(zip_derived_cl3_005,plain,
! [X0: $i] :
( ( perm @ X0 )
= ( minus @ ( s @ n ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation]) ).
thf(zip_derived_cl132,plain,
! [X0: $i] :
( ( le @ ( minus @ ( s @ n ) @ X0 ) @ n )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).
thf(zip_derived_cl132_006,plain,
! [X0: $i] :
( ( le @ ( minus @ ( s @ n ) @ X0 ) @ n )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
queens_p,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl107,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ ( s @ X0 ) @ X1 )
| ~ ( le @ X1 @ n )
| ( ( p @ X0 )
!= ( p @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl0]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ X1 )
| ~ ( le @ X1 @ n )
| ( ( p @ ( minus @ ( s @ n ) @ X0 ) )
!= ( p @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl107]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( perm @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3_007,plain,
! [X0: $i] :
( ( perm @ X0 )
= ( minus @ ( s @ n ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation]) ).
thf(zip_derived_cl117,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( minus @ ( s @ n ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).
thf(zip_derived_cl205,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ X1 )
| ~ ( le @ X1 @ n )
| ( ( q @ X0 )
!= ( p @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl117]) ).
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_cl3_008,plain,
! [X0: $i] :
( ( perm @ X0 )
= ( minus @ ( s @ n ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation]) ).
thf(zip_derived_cl118,plain,
! [X0: $i] :
( ( le @ ( s @ n0 ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl3]) ).
thf(zip_derived_cl461,plain,
! [X0: $i,X1: $i] :
( ( ( q @ X0 )
!= ( p @ X1 ) )
| ~ ( le @ X1 @ n )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ X1 )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl205,zip_derived_cl118]) ).
thf(zip_derived_cl468,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ( ( q @ X1 )
!= ( p @ ( minus @ ( s @ n ) @ X0 ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X1 ) ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ X1 @ n )
| ~ ( le @ ( s @ n0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl461]) ).
thf(zip_derived_cl117_009,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( minus @ ( s @ n ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).
thf(zip_derived_cl476,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ( ( q @ X1 )
!= ( q @ X0 ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X1 ) ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ X1 @ n )
| ~ ( le @ ( s @ n0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl468,zip_derived_cl117]) ).
thf(zip_derived_cl1422,plain,
! [X0: $i] :
( ~ ( le @ ( s @ n0 ) @ sk_ )
| ( ( q @ X0 )
!= ( q @ sk_ ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ ( minus @ ( s @ n ) @ sk_ ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl476]) ).
thf(zip_derived_cl5,plain,
( queens_q
| ( le @ ( s @ n0 ) @ sk_ ) ),
inference(cnf,[status(esa)],[queens_q]) ).
thf(zip_derived_cl13_010,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111,plain,
le @ ( s @ n0 ) @ sk_,
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl1430,plain,
! [X0: $i] :
( ( ( q @ X0 )
!= ( q @ sk_ ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ ( minus @ ( s @ n ) @ sk_ ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1422,zip_derived_cl111]) ).
thf(zip_derived_cl6287,plain,
( ( ( q @ sk__1 )
!= ( q @ sk_ ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ sk__1 ) ) @ ( minus @ ( s @ n ) @ sk_ ) )
| ~ ( le @ ( s @ n0 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl1430]) ).
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_011,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115,plain,
( ~ ( le @ ( s @ sk_ ) @ sk__1 )
| ( le @ ( s @ ( perm @ sk__1 ) ) @ ( perm @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl13]) ).
thf(zip_derived_cl6,plain,
( queens_q
| ( le @ ( s @ sk_ ) @ sk__1 ) ),
inference(cnf,[status(esa)],[queens_q]) ).
thf(zip_derived_cl13_012,plain,
~ queens_q,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112,plain,
le @ ( s @ sk_ ) @ sk__1,
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).
thf(zip_derived_cl3_013,plain,
! [X0: $i] :
( ( perm @ X0 )
= ( minus @ ( s @ n ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation]) ).
thf(zip_derived_cl3_014,plain,
! [X0: $i] :
( ( perm @ X0 )
= ( minus @ ( s @ n ) @ X0 ) ),
inference(cnf,[status(esa)],[permutation]) ).
thf(zip_derived_cl251,plain,
le @ ( s @ ( minus @ ( s @ n ) @ sk__1 ) ) @ ( minus @ ( s @ n ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl112,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl112_015,plain,
le @ ( s @ sk_ ) @ sk__1,
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).
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_cl111_016,plain,
le @ ( s @ n0 ) @ sk_,
inference('dp-resolution',[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_cl121,plain,
! [X0: $i] :
( ~ ( le @ sk_ @ X0 )
| ( le @ ( s @ n0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl17]) ).
thf(zip_derived_cl17_017,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_cl141,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ sk_ @ X0 )
| ~ ( le @ X0 @ X1 )
| ( le @ ( s @ n0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl17]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ~ ( le @ ( s @ sk_ ) @ X0 )
| ( le @ ( s @ n0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl141]) ).
thf(zip_derived_cl216,plain,
le @ ( s @ n0 ) @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl193]) ).
thf(zip_derived_cl6298,plain,
( ( q @ sk__1 )
!= ( q @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl6287,zip_derived_cl251,zip_derived_cl216]) ).
thf(zip_derived_cl15993,plain,
! [X0: $i,X1: $i] :
( ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) )
| ( ( minus @ ( q @ sk__1 ) @ ( minus @ ( s @ n ) @ X0 ) )
= ( minus @ ( q @ sk_ ) @ ( minus @ ( s @ n ) @ X1 ) ) )
| ( ( minus @ sk_ @ sk__1 )
!= ( minus @ X1 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2318,zip_derived_cl6298]) ).
thf(zip_derived_cl16023,plain,
( ( ( minus @ ( q @ sk__1 ) @ ( minus @ ( s @ n ) @ sk__1 ) )
= ( minus @ ( q @ sk_ ) @ ( minus @ ( s @ n ) @ sk_ ) ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl15993]) ).
thf(zip_derived_cl191_018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( minus @ X3 @ ( minus @ ( s @ n ) @ X0 ) )
= ( minus @ X2 @ ( minus @ ( s @ n ) @ X1 ) ) )
| ( ( minus @ X3 @ X2 )
!= ( minus @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl21]) ).
thf(zip_derived_cl2327,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ ( minus @ ( s @ n ) @ X0 ) )
= ( minus @ X0 @ ( minus @ ( s @ n ) @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl2327_019,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ ( minus @ ( s @ n ) @ X0 ) )
= ( minus @ X0 @ ( minus @ ( s @ n ) @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl16024,plain,
( ( ( minus @ sk__1 @ ( minus @ ( s @ n ) @ ( q @ sk__1 ) ) )
= ( minus @ sk_ @ ( minus @ ( s @ n ) @ ( q @ sk_ ) ) ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16023,zip_derived_cl2327,zip_derived_cl2327]) ).
thf(zip_derived_cl113_020,plain,
le @ sk__1 @ n,
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf(zip_derived_cl110_021,plain,
le @ sk_ @ n,
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).
thf(zip_derived_cl132_022,plain,
! [X0: $i] :
( ( le @ ( minus @ ( s @ n ) @ X0 ) @ n )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).
thf(zip_derived_cl132_023,plain,
! [X0: $i] :
( ( le @ ( minus @ ( s @ n ) @ X0 ) @ n )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).
thf(zip_derived_cl11_024,plain,
queens_p,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl109,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ ( s @ X0 ) @ X1 )
| ~ ( le @ X1 @ n )
| ( ( minus @ ( p @ X0 ) @ X0 )
!= ( minus @ ( p @ X1 ) @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl2]) ).
thf(zip_derived_cl220,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ X1 )
| ~ ( le @ X1 @ n )
| ( ( minus @ ( p @ ( minus @ ( s @ n ) @ X0 ) ) @ ( minus @ ( s @ n ) @ X0 ) )
!= ( minus @ ( p @ X1 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl109]) ).
thf(zip_derived_cl117_025,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( minus @ ( s @ n ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).
thf(zip_derived_cl224,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ X1 )
| ~ ( le @ X1 @ n )
| ( ( minus @ ( q @ X0 ) @ ( minus @ ( s @ n ) @ X0 ) )
!= ( minus @ ( p @ X1 ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl220,zip_derived_cl117]) ).
thf(zip_derived_cl118_026,plain,
! [X0: $i] :
( ( le @ ( s @ n0 ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl3]) ).
thf(zip_derived_cl534,plain,
! [X0: $i,X1: $i] :
( ( ( minus @ ( q @ X0 ) @ ( minus @ ( s @ n ) @ X0 ) )
!= ( minus @ ( p @ X1 ) @ X1 ) )
| ~ ( le @ X1 @ n )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ X1 )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl224,zip_derived_cl118]) ).
thf(zip_derived_cl541,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ( ( minus @ ( q @ X1 ) @ ( minus @ ( s @ n ) @ X1 ) )
!= ( minus @ ( p @ ( minus @ ( s @ n ) @ X0 ) ) @ ( minus @ ( s @ n ) @ X0 ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X1 ) ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ X1 @ n )
| ~ ( le @ ( s @ n0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl534]) ).
thf(zip_derived_cl117_027,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( minus @ ( s @ n ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).
thf(zip_derived_cl549,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ( ( minus @ ( q @ X1 ) @ ( minus @ ( s @ n ) @ X1 ) )
!= ( minus @ ( q @ X0 ) @ ( minus @ ( s @ n ) @ X0 ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X1 ) ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ X1 @ n )
| ~ ( le @ ( s @ n0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl541,zip_derived_cl117]) ).
thf(zip_derived_cl2046,plain,
! [X0: $i] :
( ~ ( le @ ( s @ n0 ) @ sk_ )
| ( ( minus @ ( q @ X0 ) @ ( minus @ ( s @ n ) @ X0 ) )
!= ( minus @ ( q @ sk_ ) @ ( minus @ ( s @ n ) @ sk_ ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ ( minus @ ( s @ n ) @ sk_ ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl549]) ).
thf(zip_derived_cl111_028,plain,
le @ ( s @ n0 ) @ sk_,
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl2054,plain,
! [X0: $i] :
( ( ( minus @ ( q @ X0 ) @ ( minus @ ( s @ n ) @ X0 ) )
!= ( minus @ ( q @ sk_ ) @ ( minus @ ( s @ n ) @ sk_ ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ ( minus @ ( s @ n ) @ sk_ ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2046,zip_derived_cl111]) ).
thf(zip_derived_cl2327_029,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ ( minus @ ( s @ n ) @ X0 ) )
= ( minus @ X0 @ ( minus @ ( s @ n ) @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl2327_030,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ ( minus @ ( s @ n ) @ X0 ) )
= ( minus @ X0 @ ( minus @ ( s @ n ) @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl191]) ).
thf(zip_derived_cl10339,plain,
! [X0: $i] :
( ( ( minus @ X0 @ ( minus @ ( s @ n ) @ ( q @ X0 ) ) )
!= ( minus @ sk_ @ ( minus @ ( s @ n ) @ ( q @ sk_ ) ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ ( minus @ ( s @ n ) @ sk_ ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl2054,zip_derived_cl2327,zip_derived_cl2327]) ).
thf(zip_derived_cl10357,plain,
( ( ( minus @ sk__1 @ ( minus @ ( s @ n ) @ ( q @ sk__1 ) ) )
!= ( minus @ sk_ @ ( minus @ ( s @ n ) @ ( q @ sk_ ) ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ sk__1 ) ) @ ( minus @ ( s @ n ) @ sk_ ) )
| ~ ( le @ ( s @ n0 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl10339]) ).
thf(zip_derived_cl251_031,plain,
le @ ( s @ ( minus @ ( s @ n ) @ sk__1 ) ) @ ( minus @ ( s @ n ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl112,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl216_032,plain,
le @ ( s @ n0 ) @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl193]) ).
thf(zip_derived_cl10372,plain,
( ( minus @ sk__1 @ ( minus @ ( s @ n ) @ ( q @ sk__1 ) ) )
!= ( minus @ sk_ @ ( minus @ ( s @ n ) @ ( q @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10357,zip_derived_cl251,zip_derived_cl216]) ).
thf(zip_derived_cl16025,plain,
( ( minus @ ( q @ sk_ ) @ sk_ )
= ( minus @ ( q @ sk__1 ) @ sk__1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl16024,zip_derived_cl10372]) ).
thf(zip_derived_cl21_033,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_cl16084,plain,
! [X0: $i,X1: $i] :
( ( ( minus @ ( q @ sk__1 ) @ X1 )
= ( minus @ sk__1 @ X0 ) )
| ( ( minus @ ( q @ sk_ ) @ sk_ )
!= ( minus @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16025,zip_derived_cl21]) ).
thf(zip_derived_cl16424,plain,
( ( minus @ ( q @ sk__1 ) @ ( q @ sk_ ) )
= ( minus @ sk__1 @ sk_ ) ),
inference(eq_res,[status(thm)],[zip_derived_cl16084]) ).
thf(zip_derived_cl140_034,plain,
! [X0: $i,X1: $i] :
( ( minus @ X1 @ X0 )
= ( minus @ ( minus @ ( s @ n ) @ X0 ) @ ( minus @ ( s @ n ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl20_035,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_cl179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( plus @ ( minus @ ( s @ n ) @ X0 ) @ X2 )
= ( plus @ ( minus @ ( s @ n ) @ X1 ) @ X3 ) )
| ( ( minus @ X1 @ X0 )
!= ( minus @ X3 @ X2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl20]) ).
thf(zip_derived_cl16490,plain,
! [X0: $i,X1: $i] :
( ( ( plus @ ( minus @ ( s @ n ) @ X0 ) @ ( q @ sk_ ) )
= ( plus @ ( minus @ ( s @ n ) @ X1 ) @ ( q @ sk__1 ) ) )
| ( ( minus @ X1 @ X0 )
!= ( minus @ sk__1 @ sk_ ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16424,zip_derived_cl179]) ).
thf(zip_derived_cl54836,plain,
( ( plus @ ( minus @ ( s @ n ) @ sk_ ) @ ( q @ sk_ ) )
= ( plus @ ( minus @ ( s @ n ) @ sk__1 ) @ ( q @ sk__1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl16490]) ).
thf(zip_derived_cl113_036,plain,
le @ sk__1 @ n,
inference('dp-resolution',[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf(zip_derived_cl110_037,plain,
le @ sk_ @ n,
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).
thf(zip_derived_cl132_038,plain,
! [X0: $i] :
( ( le @ ( minus @ ( s @ n ) @ X0 ) @ n )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).
thf(zip_derived_cl132_039,plain,
! [X0: $i] :
( ( le @ ( minus @ ( s @ n ) @ X0 ) @ n )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).
thf(zip_derived_cl11_040,plain,
queens_p,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl108,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ ( s @ X0 ) @ X1 )
| ~ ( le @ X1 @ n )
| ( ( plus @ ( p @ X0 ) @ X0 )
!= ( plus @ ( p @ X1 ) @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl209,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ X1 )
| ~ ( le @ X1 @ n )
| ( ( plus @ ( p @ ( minus @ ( s @ n ) @ X0 ) ) @ ( minus @ ( s @ n ) @ X0 ) )
!= ( plus @ ( p @ X1 ) @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl108]) ).
thf(zip_derived_cl117_041,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( minus @ ( s @ n ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).
thf(zip_derived_cl213,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ X1 )
| ~ ( le @ X1 @ n )
| ( ( plus @ ( q @ X0 ) @ ( minus @ ( s @ n ) @ X0 ) )
!= ( plus @ ( p @ X1 ) @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl117]) ).
thf(zip_derived_cl183_042,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl183_043,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl486,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ X1 )
| ~ ( le @ X1 @ n )
| ( ( plus @ ( minus @ ( s @ n ) @ X0 ) @ ( q @ X0 ) )
!= ( plus @ X1 @ ( p @ X1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl183,zip_derived_cl183]) ).
thf(zip_derived_cl118_044,plain,
! [X0: $i] :
( ( le @ ( s @ n0 ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl3]) ).
thf(zip_derived_cl487,plain,
! [X0: $i,X1: $i] :
( ( ( plus @ ( minus @ ( s @ n ) @ X0 ) @ ( q @ X0 ) )
!= ( plus @ X1 @ ( p @ X1 ) ) )
| ~ ( le @ X1 @ n )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ X1 )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl486,zip_derived_cl118]) ).
thf(zip_derived_cl494,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ( ( plus @ ( minus @ ( s @ n ) @ X1 ) @ ( q @ X1 ) )
!= ( plus @ ( minus @ ( s @ n ) @ X0 ) @ ( p @ ( minus @ ( s @ n ) @ X0 ) ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X1 ) ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ X1 @ n )
| ~ ( le @ ( s @ n0 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl487]) ).
thf(zip_derived_cl117_045,plain,
! [X0: $i] :
( ( q @ X0 )
= ( p @ ( minus @ ( s @ n ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl3]) ).
thf(zip_derived_cl502,plain,
! [X0: $i,X1: $i] :
( ~ ( le @ ( s @ n0 ) @ X0 )
| ~ ( le @ X0 @ n )
| ( ( plus @ ( minus @ ( s @ n ) @ X1 ) @ ( q @ X1 ) )
!= ( plus @ ( minus @ ( s @ n ) @ X0 ) @ ( q @ X0 ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X1 ) ) @ ( minus @ ( s @ n ) @ X0 ) )
| ~ ( le @ X1 @ n )
| ~ ( le @ ( s @ n0 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl494,zip_derived_cl117]) ).
thf(zip_derived_cl1696,plain,
! [X0: $i] :
( ~ ( le @ ( s @ n0 ) @ sk_ )
| ( ( plus @ ( minus @ ( s @ n ) @ X0 ) @ ( q @ X0 ) )
!= ( plus @ ( minus @ ( s @ n ) @ sk_ ) @ ( q @ sk_ ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ ( minus @ ( s @ n ) @ sk_ ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl110,zip_derived_cl502]) ).
thf(zip_derived_cl111_046,plain,
le @ ( s @ n0 ) @ sk_,
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(zip_derived_cl1704,plain,
! [X0: $i] :
( ( ( plus @ ( minus @ ( s @ n ) @ X0 ) @ ( q @ X0 ) )
!= ( plus @ ( minus @ ( s @ n ) @ sk_ ) @ ( q @ sk_ ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ X0 ) ) @ ( minus @ ( s @ n ) @ sk_ ) )
| ~ ( le @ X0 @ n )
| ~ ( le @ ( s @ n0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1696,zip_derived_cl111]) ).
thf(zip_derived_cl8711,plain,
( ( ( plus @ ( minus @ ( s @ n ) @ sk__1 ) @ ( q @ sk__1 ) )
!= ( plus @ ( minus @ ( s @ n ) @ sk_ ) @ ( q @ sk_ ) ) )
| ~ ( le @ ( s @ ( minus @ ( s @ n ) @ sk__1 ) ) @ ( minus @ ( s @ n ) @ sk_ ) )
| ~ ( le @ ( s @ n0 ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl1704]) ).
thf(zip_derived_cl251_047,plain,
le @ ( s @ ( minus @ ( s @ n ) @ sk__1 ) ) @ ( minus @ ( s @ n ) @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl112,zip_derived_cl3,zip_derived_cl3]) ).
thf(zip_derived_cl216_048,plain,
le @ ( s @ n0 ) @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl193]) ).
thf(zip_derived_cl8722,plain,
( ( plus @ ( minus @ ( s @ n ) @ sk__1 ) @ ( q @ sk__1 ) )
!= ( plus @ ( minus @ ( s @ n ) @ sk_ ) @ ( q @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8711,zip_derived_cl251,zip_derived_cl216]) ).
thf(zip_derived_cl54837,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl54836,zip_derived_cl8722]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ133+1 : TPTP v8.1.2. Released v4.1.0.
% 0.14/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.el23wlEWJN true
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 22:14:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 155.61/22.86 % Solved by fo/fo6_bce.sh.
% 155.61/22.86 % BCE start: 23
% 155.61/22.86 % BCE eliminated: 0
% 155.61/22.86 % PE start: 23
% 155.61/22.86 logic: eq
% 155.61/22.86 % PE eliminated: 2
% 155.61/22.86 % done 13224 iterations in 22.113s
% 155.61/22.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 155.61/22.86 % SZS output start Refutation
% See solution above
% 155.61/22.86
% 155.61/22.86
% 155.61/22.86 % Terminating...
% 156.08/22.91 % Runner terminated.
% 156.08/22.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------