TSTP Solution File: SWV486+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV486+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CK7gfa4rxA true
% Computer : n032.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 : Fri Sep 1 00:10:11 EDT 2023
% Result : Theorem 205.42s 29.81s
% Output : Refutation 205.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 23
% Syntax : Number of formulae : 186 ( 83 unt; 12 typ; 0 def)
% Number of atoms : 390 ( 118 equ; 0 cnn)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1256 ( 182 ~; 189 |; 15 &; 858 @)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 186 ( 0 ^; 185 !; 1 ?; 186 :)
% Comments :
%------------------------------------------------------------------------------
thf(int_one_type,type,
int_one: $i ).
thf(int_less_type,type,
int_less: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(real_zero_type,type,
real_zero: $i ).
thf(int_leq_type,type,
int_leq: $i > $i > $o ).
thf(n_type,type,
n: $i ).
thf(qr_type,type,
qr: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(a_type,type,
a: $i > $i > $i ).
thf(plus_type,type,
plus: $i > $i > $i ).
thf(int_zero_type,type,
int_zero: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(lt,conjecture,
! [I: $i,J: $i] :
( ( ( int_leq @ int_one @ I )
& ( int_less @ I @ J )
& ( int_leq @ J @ n ) )
=> ( ( a @ I @ J )
= real_zero ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [I: $i,J: $i] :
( ( ( int_leq @ int_one @ I )
& ( int_less @ I @ J )
& ( int_leq @ J @ n ) )
=> ( ( a @ I @ J )
= real_zero ) ),
inference('cnf.neg',[status(esa)],[lt]) ).
thf(zip_derived_cl20,plain,
int_less @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(int_leq,axiom,
! [I: $i,J: $i] :
( ( int_leq @ I @ J )
<=> ( ( int_less @ I @ J )
| ( I = J ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( int_leq @ X0 @ X1 )
| ~ ( int_less @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl27,plain,
int_leq @ sk__1 @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).
thf(zip_derived_cl20_001,plain,
int_less @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(plus_and_inverse,axiom,
! [I: $i,J: $i] :
( ( int_less @ I @ J )
<=> ? [K: $i] :
( ( int_less @ int_zero @ K )
& ( ( plus @ I @ K )
= J ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( plus @ X1 @ ( sk_ @ X0 @ X1 ) )
= X0 )
| ~ ( int_less @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl135,plain,
( ( plus @ sk__1 @ ( sk_ @ sk__2 @ sk__1 ) )
= sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
int_leq @ sk__2 @ n,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( int_less @ X1 @ X0 )
| ~ ( int_leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl23,plain,
( ( sk__2 = n )
| ( int_less @ sk__2 @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).
thf(zip_derived_cl20_002,plain,
int_less @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(int_less_transitive,axiom,
! [I: $i,J: $i,K: $i] :
( ( ( int_less @ I @ J )
& ( int_less @ J @ K ) )
=> ( int_less @ I @ K ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_less @ X0 @ X1 )
| ~ ( int_less @ X1 @ X2 )
| ( int_less @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[int_less_transitive]) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ~ ( int_less @ sk__2 @ X0 )
| ( int_less @ sk__1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl3]) ).
thf(zip_derived_cl53,plain,
( ( sk__2 = n )
| ( int_less @ sk__1 @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl34]) ).
thf(zip_derived_cl1_003,plain,
! [X0: $i,X1: $i] :
( ( int_leq @ X0 @ X1 )
| ~ ( int_less @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl62,plain,
( ( sk__2 = n )
| ( int_leq @ sk__1 @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl1]) ).
thf(qih,axiom,
! [I: $i,J: $i] :
( ( ( int_leq @ int_one @ I )
& ( int_leq @ I @ n )
& ( int_leq @ int_one @ J )
& ( int_leq @ J @ n ) )
=> ( ! [C: $i] :
( ( ( int_less @ int_zero @ C )
& ( I
= ( plus @ J @ C ) ) )
=> ! [K: $i] :
( ( ( int_leq @ int_one @ K )
& ( int_leq @ K @ J ) )
=> ( ( a @ ( plus @ K @ C ) @ K )
= ( qr @ ( plus @ K @ C ) @ K ) ) ) )
& ! [C: $i] :
( ( ( int_less @ int_zero @ C )
& ( J
= ( plus @ I @ C ) ) )
=> ! [K: $i] :
( ( ( int_leq @ int_one @ K )
& ( int_leq @ K @ I ) )
=> ( ( a @ K @ ( plus @ K @ C ) )
= real_zero ) ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ n )
| ~ ( int_leq @ int_one @ X2 )
| ~ ( int_leq @ X2 @ X0 )
| ( ( a @ X2 @ ( plus @ X2 @ X3 ) )
= real_zero )
| ( X1
!= ( plus @ X0 @ X3 ) )
| ~ ( int_less @ int_zero @ X3 ) ),
inference(cnf,[status(esa)],[qih]) ).
thf(zip_derived_cl209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk__2 = n )
| ~ ( int_leq @ int_one @ sk__1 )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ sk__1 )
| ( ( a @ X1 @ ( plus @ X1 @ X2 ) )
= real_zero )
| ( X0
!= ( plus @ sk__1 @ X2 ) )
| ~ ( int_less @ int_zero @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
int_leq @ int_one @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk__2 = n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ sk__1 )
| ( ( a @ X1 @ ( plus @ X1 @ X2 ) )
= real_zero )
| ( X0
!= ( plus @ sk__1 @ X2 ) )
| ~ ( int_less @ int_zero @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl209,zip_derived_cl21]) ).
thf(zip_derived_cl6495,plain,
! [X0: $i] :
( ( sk__2 = n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ sk__1 )
| ~ ( int_leq @ sk__1 @ sk__1 )
| ( ( a @ sk__1 @ sk__2 )
= real_zero )
| ( X0 != sk__2 )
| ~ ( int_less @ int_zero @ ( sk_ @ sk__2 @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl135,zip_derived_cl218]) ).
thf(zip_derived_cl21_004,plain,
int_leq @ int_one @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( int_leq @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl25,plain,
! [X0: $i] : ( int_leq @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl20_005,plain,
int_less @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( int_less @ int_zero @ ( sk_ @ X0 @ X1 ) )
| ~ ( int_less @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl108,plain,
int_less @ int_zero @ ( sk_ @ sk__2 @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl10]) ).
thf(zip_derived_cl6526,plain,
! [X0: $i] :
( ( sk__2 = n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ( ( a @ sk__1 @ sk__2 )
= real_zero )
| ( X0 != sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl6495,zip_derived_cl21,zip_derived_cl25,zip_derived_cl108]) ).
thf(zip_derived_cl18,plain,
( ( a @ sk__1 @ sk__2 )
!= real_zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6527,plain,
! [X0: $i] :
( ( sk__2 = n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ( X0 != sk__2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6526,zip_derived_cl18]) ).
thf(zip_derived_cl6530,plain,
( ~ ( int_leq @ sk__2 @ n )
| ~ ( int_leq @ int_one @ sk__2 )
| ( sk__2 = n ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6527]) ).
thf(zip_derived_cl19_006,plain,
int_leq @ sk__2 @ n,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20_007,plain,
int_less @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl21_008,plain,
int_leq @ int_one @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(one_successor_of_zero,axiom,
! [I: $i] :
( ( int_less @ int_zero @ I )
<=> ( int_leq @ int_one @ I ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( int_less @ int_zero @ X0 )
| ~ ( int_leq @ int_one @ X0 ) ),
inference(cnf,[status(esa)],[one_successor_of_zero]) ).
thf(zip_derived_cl42,plain,
int_less @ int_zero @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl14]) ).
thf(zip_derived_cl3_009,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_less @ X0 @ X1 )
| ~ ( int_less @ X1 @ X2 )
| ( int_less @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[int_less_transitive]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ~ ( int_less @ sk__1 @ X0 )
| ( int_less @ int_zero @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl3]) ).
thf(zip_derived_cl55,plain,
int_less @ int_zero @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl44]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( int_leq @ int_one @ X0 )
| ~ ( int_less @ int_zero @ X0 ) ),
inference(cnf,[status(esa)],[one_successor_of_zero]) ).
thf(zip_derived_cl58,plain,
int_leq @ int_one @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl13]) ).
thf(zip_derived_cl6531,plain,
sk__2 = n,
inference(demod,[status(thm)],[zip_derived_cl6530,zip_derived_cl19,zip_derived_cl58]) ).
thf(zip_derived_cl6535,plain,
int_leq @ sk__1 @ n,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl6531]) ).
thf(zip_derived_cl135_010,plain,
( ( plus @ sk__1 @ ( sk_ @ sk__2 @ sk__1 ) )
= sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).
thf(zip_derived_cl16_011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ n )
| ~ ( int_leq @ int_one @ X2 )
| ~ ( int_leq @ X2 @ X0 )
| ( ( a @ X2 @ ( plus @ X2 @ X3 ) )
= real_zero )
| ( X1
!= ( plus @ X0 @ X3 ) )
| ~ ( int_less @ int_zero @ X3 ) ),
inference(cnf,[status(esa)],[qih]) ).
thf(zip_derived_cl3374,plain,
! [X0: $i,X1: $i] :
( ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ n )
| ~ ( int_leq @ int_one @ sk__1 )
| ~ ( int_leq @ sk__1 @ X0 )
| ( ( a @ sk__1 @ sk__2 )
= real_zero )
| ( X1
!= ( plus @ X0 @ ( sk_ @ sk__2 @ sk__1 ) ) )
| ~ ( int_less @ int_zero @ ( sk_ @ sk__2 @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl135,zip_derived_cl16]) ).
thf(zip_derived_cl21_012,plain,
int_leq @ int_one @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl108_013,plain,
int_less @ int_zero @ ( sk_ @ sk__2 @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl10]) ).
thf(zip_derived_cl3392,plain,
! [X0: $i,X1: $i] :
( ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ n )
| ~ ( int_leq @ sk__1 @ X0 )
| ( ( a @ sk__1 @ sk__2 )
= real_zero )
| ( X1
!= ( plus @ X0 @ ( sk_ @ sk__2 @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3374,zip_derived_cl21,zip_derived_cl108]) ).
thf(zip_derived_cl18_014,plain,
( ( a @ sk__1 @ sk__2 )
!= real_zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3393,plain,
! [X0: $i,X1: $i] :
( ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ n )
| ~ ( int_leq @ sk__1 @ X0 )
| ( X1
!= ( plus @ X0 @ ( sk_ @ sk__2 @ sk__1 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3392,zip_derived_cl18]) ).
thf(zip_derived_cl6531_015,plain,
sk__2 = n,
inference(demod,[status(thm)],[zip_derived_cl6530,zip_derived_cl19,zip_derived_cl58]) ).
thf(zip_derived_cl199619,plain,
! [X0: $i,X1: $i] :
( ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ n )
| ~ ( int_leq @ sk__1 @ X0 )
| ( X1
!= ( plus @ X0 @ ( sk_ @ n @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3393,zip_derived_cl6531]) ).
thf(zip_derived_cl199660,plain,
! [X0: $i] :
( ~ ( int_leq @ int_one @ sk__1 )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ sk__1 @ sk__1 )
| ( X0
!= ( plus @ sk__1 @ ( sk_ @ n @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6535,zip_derived_cl199619]) ).
thf(zip_derived_cl21_016,plain,
int_leq @ int_one @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl25_017,plain,
! [X0: $i] : ( int_leq @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl135_018,plain,
( ( plus @ sk__1 @ ( sk_ @ sk__2 @ sk__1 ) )
= sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).
thf(zip_derived_cl6531_019,plain,
sk__2 = n,
inference(demod,[status(thm)],[zip_derived_cl6530,zip_derived_cl19,zip_derived_cl58]) ).
thf(zip_derived_cl6531_020,plain,
sk__2 = n,
inference(demod,[status(thm)],[zip_derived_cl6530,zip_derived_cl19,zip_derived_cl58]) ).
thf(zip_derived_cl6555,plain,
( ( plus @ sk__1 @ ( sk_ @ n @ sk__1 ) )
= n ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl6531,zip_derived_cl6531]) ).
thf(zip_derived_cl199683,plain,
! [X0: $i] :
( ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ( X0 != n ) ),
inference(demod,[status(thm)],[zip_derived_cl199660,zip_derived_cl21,zip_derived_cl25,zip_derived_cl6555]) ).
thf(int_less_total,axiom,
! [I: $i,J: $i] :
( ( int_leq @ J @ I )
| ( int_less @ I @ J ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( int_leq @ X0 @ X1 )
| ( int_less @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[int_less_total]) ).
thf(plus_zero,axiom,
! [I: $i] :
( ( plus @ I @ int_zero )
= I ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( plus @ X0 @ int_zero )
= X0 ),
inference(cnf,[status(esa)],[plus_zero]) ).
thf(plus_commutative,axiom,
! [I: $i,J: $i] :
( ( plus @ I @ J )
= ( plus @ J @ I ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[plus_commutative]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( X0
= ( plus @ int_zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl11_021,plain,
! [X0: $i,X1: $i] :
( ( ( plus @ X1 @ ( sk_ @ X0 @ X1 ) )
= X0 )
| ~ ( int_less @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl124,plain,
! [X0: $i] :
( ( ( sk_ @ X0 @ int_zero )
= X0 )
| ~ ( int_less @ int_zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl11]) ).
thf(zip_derived_cl2995,plain,
! [X0: $i] :
( ( int_leq @ X0 @ int_zero )
| ( ( sk_ @ X0 @ int_zero )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl124]) ).
thf(zip_derived_cl53_022,plain,
( ( sk__2 = n )
| ( int_less @ sk__1 @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl34]) ).
thf(zip_derived_cl44_023,plain,
! [X0: $i] :
( ~ ( int_less @ sk__1 @ X0 )
| ( int_less @ int_zero @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl3]) ).
thf(zip_derived_cl64,plain,
( ( sk__2 = n )
| ( int_less @ int_zero @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl44]) ).
thf(zip_derived_cl13_024,plain,
! [X0: $i] :
( ( int_leq @ int_one @ X0 )
| ~ ( int_less @ int_zero @ X0 ) ),
inference(cnf,[status(esa)],[one_successor_of_zero]) ).
thf(zip_derived_cl91,plain,
( ( sk__2 = n )
| ( int_leq @ int_one @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl13]) ).
thf(zip_derived_cl0_025,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( int_less @ X1 @ X0 )
| ~ ( int_leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl92,plain,
( ( sk__2 = n )
| ( int_one = n )
| ( int_less @ int_one @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl0]) ).
thf(int_zero_one,axiom,
int_less @ int_zero @ int_one ).
thf(zip_derived_cl6,plain,
int_less @ int_zero @ int_one,
inference(cnf,[status(esa)],[int_zero_one]) ).
thf(zip_derived_cl3_026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_less @ X0 @ X1 )
| ~ ( int_less @ X1 @ X2 )
| ( int_less @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[int_less_transitive]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ~ ( int_less @ int_one @ X0 )
| ( int_less @ int_zero @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).
thf(zip_derived_cl275,plain,
( ( int_one = n )
| ( sk__2 = n )
| ( int_less @ int_zero @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl32]) ).
thf(zip_derived_cl64_027,plain,
( ( sk__2 = n )
| ( int_less @ int_zero @ n ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl44]) ).
thf(zip_derived_cl298,plain,
( ( int_less @ int_zero @ n )
| ( sk__2 = n ) ),
inference(clc,[status(thm)],[zip_derived_cl275,zip_derived_cl64]) ).
thf(zip_derived_cl49_028,plain,
! [X0: $i] :
( X0
= ( plus @ int_zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl55_029,plain,
int_less @ int_zero @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl44]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( int_less @ X0 @ X1 )
| ( ( plus @ X0 @ X2 )
!= X1 )
| ~ ( int_less @ int_zero @ X2 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl179,plain,
! [X0: $i,X1: $i] :
( ( int_less @ X1 @ X0 )
| ( ( plus @ X1 @ sk__2 )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl12]) ).
thf(zip_derived_cl195,plain,
! [X0: $i] :
( ( int_less @ int_zero @ X0 )
| ( sk__2 != X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl179]) ).
thf(zip_derived_cl299,plain,
int_less @ int_zero @ n,
inference(clc,[status(thm)],[zip_derived_cl298,zip_derived_cl195]) ).
thf(zip_derived_cl12_030,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( int_less @ X0 @ X1 )
| ( ( plus @ X0 @ X2 )
!= X1 )
| ~ ( int_less @ int_zero @ X2 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl305,plain,
! [X0: $i,X1: $i] :
( ( int_less @ X1 @ X0 )
| ( ( plus @ X1 @ n )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl12]) ).
thf(zip_derived_cl334,plain,
! [X0: $i] : ( int_less @ X0 @ ( plus @ X0 @ n ) ),
inference(eq_res,[status(thm)],[zip_derived_cl305]) ).
thf(zip_derived_cl10_031,plain,
! [X0: $i,X1: $i] :
( ( int_less @ int_zero @ ( sk_ @ X0 @ X1 ) )
| ~ ( int_less @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl569,plain,
! [X0: $i] : ( int_less @ int_zero @ ( sk_ @ ( plus @ X0 @ n ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl10]) ).
thf(zip_derived_cl12_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( int_less @ X0 @ X1 )
| ( ( plus @ X0 @ X2 )
!= X1 )
| ~ ( int_less @ int_zero @ X2 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl15334,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( int_less @ X2 @ X1 )
| ( ( plus @ X2 @ ( sk_ @ ( plus @ X0 @ n ) @ X0 ) )
!= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl12]) ).
thf(zip_derived_cl13_033,plain,
! [X0: $i] :
( ( int_leq @ int_one @ X0 )
| ~ ( int_less @ int_zero @ X0 ) ),
inference(cnf,[status(esa)],[one_successor_of_zero]) ).
thf(zip_derived_cl113396,plain,
! [X0: $i,X1: $i] :
( ( ( plus @ int_zero @ ( sk_ @ ( plus @ X1 @ n ) @ X1 ) )
!= X0 )
| ( int_leq @ int_one @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15334,zip_derived_cl13]) ).
thf(zip_derived_cl49_034,plain,
! [X0: $i] :
( X0
= ( plus @ int_zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl113648,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ ( plus @ X1 @ n ) @ X1 )
!= X0 )
| ( int_leq @ int_one @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl113396,zip_derived_cl49]) ).
thf(zip_derived_cl113899,plain,
! [X0: $i] :
( ( int_leq @ ( plus @ int_zero @ n ) @ int_zero )
| ( ( plus @ int_zero @ n )
!= X0 )
| ( int_leq @ int_one @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2995,zip_derived_cl113648]) ).
thf(zip_derived_cl49_035,plain,
! [X0: $i] :
( X0
= ( plus @ int_zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl108_036,plain,
int_less @ int_zero @ ( sk_ @ sk__2 @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl10]) ).
thf(zip_derived_cl13_037,plain,
! [X0: $i] :
( ( int_leq @ int_one @ X0 )
| ~ ( int_less @ int_zero @ X0 ) ),
inference(cnf,[status(esa)],[one_successor_of_zero]) ).
thf(zip_derived_cl1951,plain,
int_leq @ int_one @ ( sk_ @ sk__2 @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl13]) ).
thf(zip_derived_cl6531_038,plain,
sk__2 = n,
inference(demod,[status(thm)],[zip_derived_cl6530,zip_derived_cl19,zip_derived_cl58]) ).
thf(zip_derived_cl6614,plain,
int_leq @ int_one @ ( sk_ @ n @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl1951,zip_derived_cl6531]) ).
thf(zip_derived_cl55_039,plain,
int_less @ int_zero @ sk__2,
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl44]) ).
thf(zip_derived_cl10_040,plain,
! [X0: $i,X1: $i] :
( ( int_less @ int_zero @ ( sk_ @ X0 @ X1 ) )
| ~ ( int_less @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl103,plain,
int_less @ int_zero @ ( sk_ @ sk__2 @ int_zero ),
inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl10]) ).
thf(plus_and_order1,axiom,
! [I1: $i,J1: $i,I2: $i,J2: $i] :
( ( ( int_less @ I1 @ J1 )
& ( int_leq @ I2 @ J2 ) )
=> ( int_leq @ ( plus @ I1 @ I2 ) @ ( plus @ J1 @ J2 ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( int_less @ X0 @ X1 )
| ~ ( int_leq @ X2 @ X3 )
| ( int_leq @ ( plus @ X0 @ X2 ) @ ( plus @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[plus_and_order1]) ).
thf(zip_derived_cl262,plain,
! [X0: $i,X1: $i] :
( ~ ( int_leq @ X1 @ X0 )
| ( int_leq @ ( plus @ int_zero @ X1 ) @ ( plus @ ( sk_ @ sk__2 @ int_zero ) @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl9]) ).
thf(zip_derived_cl49_041,plain,
! [X0: $i] :
( X0
= ( plus @ int_zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl265,plain,
! [X0: $i,X1: $i] :
( ~ ( int_leq @ X1 @ X0 )
| ( int_leq @ X1 @ ( plus @ ( sk_ @ sk__2 @ int_zero ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl262,zip_derived_cl49]) ).
thf(zip_derived_cl6531_042,plain,
sk__2 = n,
inference(demod,[status(thm)],[zip_derived_cl6530,zip_derived_cl19,zip_derived_cl58]) ).
thf(zip_derived_cl299_043,plain,
int_less @ int_zero @ n,
inference(clc,[status(thm)],[zip_derived_cl298,zip_derived_cl195]) ).
thf(zip_derived_cl124_044,plain,
! [X0: $i] :
( ( ( sk_ @ X0 @ int_zero )
= X0 )
| ~ ( int_less @ int_zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl11]) ).
thf(zip_derived_cl3023,plain,
( ( sk_ @ n @ int_zero )
= n ),
inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl124]) ).
thf(zip_derived_cl7222,plain,
! [X0: $i,X1: $i] :
( ~ ( int_leq @ X1 @ X0 )
| ( int_leq @ X1 @ ( plus @ n @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl265,zip_derived_cl6531,zip_derived_cl3023]) ).
thf(zip_derived_cl7270,plain,
int_leq @ int_one @ ( plus @ n @ ( sk_ @ n @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6614,zip_derived_cl7222]) ).
thf(zip_derived_cl6555_045,plain,
( ( plus @ sk__1 @ ( sk_ @ n @ sk__1 ) )
= n ),
inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl6531,zip_derived_cl6531]) ).
thf(zip_derived_cl25_046,plain,
! [X0: $i] : ( int_leq @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl16_047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ n )
| ~ ( int_leq @ int_one @ X2 )
| ~ ( int_leq @ X2 @ X0 )
| ( ( a @ X2 @ ( plus @ X2 @ X3 ) )
= real_zero )
| ( X1
!= ( plus @ X0 @ X3 ) )
| ~ ( int_less @ int_zero @ X3 ) ),
inference(cnf,[status(esa)],[qih]) ).
thf(zip_derived_cl206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_leq @ int_one @ n )
| ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ n )
| ( ( a @ X1 @ ( plus @ X1 @ X2 ) )
= real_zero )
| ( X0
!= ( plus @ n @ X2 ) )
| ~ ( int_less @ int_zero @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl16]) ).
thf(zip_derived_cl299_048,plain,
int_less @ int_zero @ n,
inference(clc,[status(thm)],[zip_derived_cl298,zip_derived_cl195]) ).
thf(zip_derived_cl13_049,plain,
! [X0: $i] :
( ( int_leq @ int_one @ X0 )
| ~ ( int_less @ int_zero @ X0 ) ),
inference(cnf,[status(esa)],[one_successor_of_zero]) ).
thf(zip_derived_cl306,plain,
int_leq @ int_one @ n,
inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl13]) ).
thf(zip_derived_cl5868,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ X1 )
| ~ ( int_leq @ X1 @ n )
| ( ( a @ X1 @ ( plus @ X1 @ X2 ) )
= real_zero )
| ( X0
!= ( plus @ n @ X2 ) )
| ~ ( int_less @ int_zero @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl206,zip_derived_cl306]) ).
thf(zip_derived_cl7162,plain,
! [X0: $i] :
( ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ~ ( int_leq @ int_one @ sk__1 )
| ~ ( int_leq @ sk__1 @ n )
| ( ( a @ sk__1 @ n )
= real_zero )
| ( X0
!= ( plus @ n @ ( sk_ @ n @ sk__1 ) ) )
| ~ ( int_less @ int_zero @ ( sk_ @ n @ sk__1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6555,zip_derived_cl5868]) ).
thf(zip_derived_cl21_050,plain,
int_leq @ int_one @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6535_051,plain,
int_leq @ sk__1 @ n,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl6531]) ).
thf(zip_derived_cl108_052,plain,
int_less @ int_zero @ ( sk_ @ sk__2 @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl10]) ).
thf(zip_derived_cl6531_053,plain,
sk__2 = n,
inference(demod,[status(thm)],[zip_derived_cl6530,zip_derived_cl19,zip_derived_cl58]) ).
thf(zip_derived_cl6548,plain,
int_less @ int_zero @ ( sk_ @ n @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl6531]) ).
thf(zip_derived_cl7178,plain,
! [X0: $i] :
( ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ( ( a @ sk__1 @ n )
= real_zero )
| ( X0
!= ( plus @ n @ ( sk_ @ n @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7162,zip_derived_cl21,zip_derived_cl6535,zip_derived_cl6548]) ).
thf(zip_derived_cl18_054,plain,
( ( a @ sk__1 @ sk__2 )
!= real_zero ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6531_055,plain,
sk__2 = n,
inference(demod,[status(thm)],[zip_derived_cl6530,zip_derived_cl19,zip_derived_cl58]) ).
thf(zip_derived_cl6532,plain,
( ( a @ sk__1 @ n )
!= real_zero ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl6531]) ).
thf(zip_derived_cl7179,plain,
! [X0: $i] :
( ~ ( int_leq @ int_one @ X0 )
| ~ ( int_leq @ X0 @ n )
| ( X0
!= ( plus @ n @ ( sk_ @ n @ sk__1 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl7178,zip_derived_cl6532]) ).
thf(zip_derived_cl13178,plain,
( ~ ( int_leq @ ( plus @ n @ ( sk_ @ n @ sk__1 ) ) @ n )
| ( ( plus @ n @ ( sk_ @ n @ sk__1 ) )
!= ( plus @ n @ ( sk_ @ n @ sk__1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7270,zip_derived_cl7179]) ).
thf(zip_derived_cl13182,plain,
~ ( int_leq @ ( plus @ n @ ( sk_ @ n @ sk__1 ) ) @ n ),
inference(simplify,[status(thm)],[zip_derived_cl13178]) ).
thf(zip_derived_cl7_056,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[plus_commutative]) ).
thf(zip_derived_cl8_057,plain,
! [X0: $i] :
( ( plus @ X0 @ int_zero )
= X0 ),
inference(cnf,[status(esa)],[plus_zero]) ).
thf(zip_derived_cl9_058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( int_less @ X0 @ X1 )
| ~ ( int_leq @ X2 @ X3 )
| ( int_leq @ ( plus @ X0 @ X2 ) @ ( plus @ X1 @ X3 ) ) ),
inference(cnf,[status(esa)],[plus_and_order1]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_less @ X2 @ X0 )
| ~ ( int_leq @ X1 @ int_zero )
| ( int_leq @ ( plus @ X2 @ X1 ) @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).
thf(zip_derived_cl1517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( int_less @ X0 @ X2 )
| ~ ( int_leq @ X1 @ int_zero )
| ( int_leq @ ( plus @ X1 @ X0 ) @ X2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl79]) ).
thf(zip_derived_cl70493,plain,
( ~ ( int_less @ ( sk_ @ n @ sk__1 ) @ n )
| ~ ( int_leq @ n @ int_zero ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13182,zip_derived_cl1517]) ).
thf(zip_derived_cl135_059,plain,
( ( plus @ sk__1 @ ( sk_ @ sk__2 @ sk__1 ) )
= sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl11]) ).
thf(zip_derived_cl7_060,plain,
! [X0: $i,X1: $i] :
( ( plus @ X1 @ X0 )
= ( plus @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[plus_commutative]) ).
thf(zip_derived_cl42_061,plain,
int_less @ int_zero @ sk__1,
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl14]) ).
thf(zip_derived_cl12_062,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( int_less @ X0 @ X1 )
| ( ( plus @ X0 @ X2 )
!= X1 )
| ~ ( int_less @ int_zero @ X2 ) ),
inference(cnf,[status(esa)],[plus_and_inverse]) ).
thf(zip_derived_cl178,plain,
! [X0: $i,X1: $i] :
( ( int_less @ X1 @ X0 )
| ( ( plus @ X1 @ sk__1 )
!= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl12]) ).
thf(zip_derived_cl188,plain,
! [X0: $i,X1: $i] :
( ( int_less @ X0 @ X1 )
| ( ( plus @ sk__1 @ X0 )
!= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl178]) ).
thf(zip_derived_cl228,plain,
! [X0: $i] : ( int_less @ X0 @ ( plus @ sk__1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl188]) ).
thf(zip_derived_cl3384,plain,
int_less @ ( sk_ @ sk__2 @ sk__1 ) @ sk__2,
inference('s_sup+',[status(thm)],[zip_derived_cl135,zip_derived_cl228]) ).
thf(zip_derived_cl6531_063,plain,
sk__2 = n,
inference(demod,[status(thm)],[zip_derived_cl6530,zip_derived_cl19,zip_derived_cl58]) ).
thf(zip_derived_cl6531_064,plain,
sk__2 = n,
inference(demod,[status(thm)],[zip_derived_cl6530,zip_derived_cl19,zip_derived_cl58]) ).
thf(zip_derived_cl6622,plain,
int_less @ ( sk_ @ n @ sk__1 ) @ n,
inference(demod,[status(thm)],[zip_derived_cl3384,zip_derived_cl6531,zip_derived_cl6531]) ).
thf(zip_derived_cl70544,plain,
~ ( int_leq @ n @ int_zero ),
inference(demod,[status(thm)],[zip_derived_cl70493,zip_derived_cl6622]) ).
thf(zip_derived_cl49_065,plain,
! [X0: $i] :
( X0
= ( plus @ int_zero @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).
thf(zip_derived_cl113907,plain,
! [X0: $i] :
( ( n != X0 )
| ( int_leq @ int_one @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl113899,zip_derived_cl49,zip_derived_cl70544,zip_derived_cl49]) ).
thf(zip_derived_cl199684,plain,
! [X0: $i] :
( ( X0 != n )
| ~ ( int_leq @ X0 @ n ) ),
inference(clc,[status(thm)],[zip_derived_cl199683,zip_derived_cl113907]) ).
thf(zip_derived_cl2_066,plain,
! [X0: $i,X1: $i] :
( ( int_leq @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[int_leq]) ).
thf(zip_derived_cl199685,plain,
! [X0: $i] : ( X0 != n ),
inference(clc,[status(thm)],[zip_derived_cl199684,zip_derived_cl2]) ).
thf(zip_derived_cl199686,plain,
$false,
inference(eq_res,[status(thm)],[zip_derived_cl199685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV486+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CK7gfa4rxA true
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Aug 29 03:57:31 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % Running portfolio for 300 s
% 0.10/0.29 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.15/0.51 % Total configuration time : 435
% 0.15/0.51 % Estimated wc time : 1092
% 0.15/0.51 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.56 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.58 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 205.42/29.81 % Solved by fo/fo13.sh.
% 205.42/29.81 % done 9764 iterations in 29.191s
% 205.42/29.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 205.42/29.81 % SZS output start Refutation
% See solution above
% 205.42/29.81
% 205.42/29.81
% 205.42/29.81 % Terminating...
% 205.57/29.90 % Runner terminated.
% 205.57/29.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------