%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV090+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o5zozpWSTA true
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:00:03 PM UTC 2025
% Result : Theorem 23.34s 3.99s
% Output : Refutation 23.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of formulae : 273 ( 130 unt; 0 typ; 0 def)
% Number of atoms : 553 ( 475 equ; 0 cnn)
% Maximal formula atoms : 36 ( 2 avg)
% Number of connectives : 3461 ( 261 ~; 105 |; 69 &;2920 @)
% ( 1 <=>; 5 =>; 100 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 136 ( 0 ^; 136 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(n3_type,type,
n3: $i ).
thf(sigma_defuse_type,type,
sigma_defuse: $i ).
thf(a_select3_type,type,
a_select3: $i > $i > $i > $i ).
thf(n2_type,type,
n2: $i ).
thf(xinit_mean_defuse_type,type,
xinit_mean_defuse: $i ).
thf(n1_type,type,
n1: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(gt_type,type,
gt: $i > $i > $o ).
thf(u_defuse_type,type,
u_defuse: $i ).
thf(n5_type,type,
n5: $i ).
thf(tptp_update2_type,type,
tptp_update2: $i > $i > $i > $i ).
thf(n0_type,type,
n0: $i ).
thf(a_select2_type,type,
a_select2: $i > $i > $i ).
thf(rho_defuse_type,type,
rho_defuse: $i ).
thf(succ_type,type,
succ: $i > $i ).
thf(xinit_defuse_type,type,
xinit_defuse: $i ).
thf(use_type,type,
use: $i ).
thf(n4_type,type,
n4: $i ).
thf(gt_4_3,axiom,
gt @ n4 @ n3 ).
thf(zip_derived_cl154,plain,
gt @ n4 @ n3,
inference(cnf,[status(esa)],[gt_4_3]) ).
thf(sel2_update_2,axiom,
! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
( ( ( I != U )
& ( ( a_select2 @ X @ U )
= VAL ) )
=> ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
= VAL ) ) ).
thf(zip_derived_cl113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( a_select2 @ X1 @ X2 )
!= X0 )
| ( X3 = X2 )
| ( ( a_select2 @ ( tptp_update2 @ X1 @ X3 @ X4 ) @ X2 )
= X0 ) ),
inference(cnf,[status(esa)],[sel2_update_2]) ).
thf(zip_derived_cl846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl846_001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(quaternion_ds1_inuse_0002,conjecture,
( ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use ) )
=> ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use ) )
=> ( ( ( a_select2 @ rho_defuse @ n0 )
= use )
& ( ( a_select2 @ rho_defuse @ n1 )
= use )
& ( ( a_select2 @ rho_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n0 )
= use )
& ( ( a_select2 @ sigma_defuse @ n1 )
= use )
& ( ( a_select2 @ sigma_defuse @ n2 )
= use )
& ( ( a_select2 @ sigma_defuse @ n3 )
= use )
& ( ( a_select2 @ sigma_defuse @ n4 )
= use )
& ( ( a_select2 @ sigma_defuse @ n5 )
= use )
& ( ( a_select3 @ u_defuse @ n0 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n1 @ n0 )
= use )
& ( ( a_select3 @ u_defuse @ n2 @ n0 )
= use )
& ( ( a_select2 @ xinit_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_defuse @ n5 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) ) ),
inference('cnf.neg',[status(esa)],[quaternion_ds1_inuse_0002]) ).
thf(zip_derived_cl134,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
!= use )
| ( ( a_select2 @ rho_defuse @ n1 )
!= use )
| ( ( a_select2 @ rho_defuse @ n2 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n0 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n1 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n2 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n3 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n4 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n5 )
!= use )
| ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use )
| ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use )
| ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use )
| ( ( a_select2 @ xinit_defuse @ n3 )
!= use )
| ( ( a_select2 @ xinit_defuse @ n4 )
!= use )
| ( ( a_select2 @ xinit_defuse @ n5 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl169,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl14286,plain,
( ( ( n5 = n3 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl169]) ).
thf(zip_derived_cl121,plain,
( ( a_select2 @ rho_defuse @ n2 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl185,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
!= use )
<= ( ( a_select2 @ rho_defuse @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl202,plain,
( ( use != use )
<= ( ( a_select2 @ rho_defuse @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl185]) ).
thf('0',plain,
( ( a_select2 @ rho_defuse @ n2 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl202]) ).
thf(zip_derived_cl846_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl171,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl14284,plain,
( ( ( n5 = n1 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl171]) ).
thf(zip_derived_cl16746,plain,
( ( n5 = n1 )
<= ( n5 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl14284]) ).
thf(successor_4,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ) ).
thf(zip_derived_cl162,plain,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ),
inference(cnf,[status(esa)],[successor_4]) ).
thf(successor_1,axiom,
( ( succ @ n0 )
= n1 ) ).
thf(zip_derived_cl164,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(successor_2,axiom,
( ( succ @ ( succ @ n0 ) )
= n2 ) ).
thf(zip_derived_cl165,plain,
( ( succ @ ( succ @ n0 ) )
= n2 ),
inference(cnf,[status(esa)],[successor_2]) ).
thf(zip_derived_cl164_003,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl285,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl164]) ).
thf(successor_3,axiom,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ) ).
thf(zip_derived_cl166,plain,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ),
inference(cnf,[status(esa)],[successor_3]) ).
thf(zip_derived_cl164_004,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl285_005,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl164]) ).
thf(zip_derived_cl336,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl164,zip_derived_cl285]) ).
thf(zip_derived_cl469,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl164,zip_derived_cl285,zip_derived_cl336]) ).
thf(leq_succ_gt_equiv,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
<=> ( gt @ ( succ @ Y ) @ X ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( gt @ ( succ @ X0 ) @ X1 )
| ~ ( leq @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_succ_gt_equiv]) ).
thf(irreflexivity_gt,axiom,
! [X: $i] :
~ ( gt @ X @ X ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
~ ( gt @ X0 @ X0 ),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
thf(zip_derived_cl342,plain,
! [X0: $i] :
~ ( leq @ ( succ @ X0 ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).
thf(leq_succ,axiom,
! [X: $i,Y: $i] :
( ( leq @ X @ Y )
=> ( leq @ X @ ( succ @ Y ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ ( succ @ X1 ) )
| ~ ( leq @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[leq_succ]) ).
thf(zip_derived_cl349,plain,
! [X0: $i] :
~ ( leq @ ( succ @ ( succ @ X0 ) ) @ X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl342,zip_derived_cl14]) ).
thf(zip_derived_cl475,plain,
~ ( leq @ ( succ @ n4 ) @ n3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl469,zip_derived_cl349]) ).
thf(successor_5,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 ) ).
thf(zip_derived_cl163,plain,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 ),
inference(cnf,[status(esa)],[successor_5]) ).
thf(zip_derived_cl164_006,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl285_007,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl164]) ).
thf(zip_derived_cl336_008,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl164,zip_derived_cl285]) ).
thf(zip_derived_cl469_009,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl164,zip_derived_cl285,zip_derived_cl336]) ).
thf(zip_derived_cl754,plain,
( ( succ @ n4 )
= n5 ),
inference(demod,[status(thm)],[zip_derived_cl163,zip_derived_cl164,zip_derived_cl285,zip_derived_cl336,zip_derived_cl469]) ).
thf(zip_derived_cl755,plain,
~ ( leq @ n5 @ n3 ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl754]) ).
thf(zip_derived_cl16778,plain,
( ~ ( leq @ n1 @ n3 )
<= ( n5 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16746,zip_derived_cl755]) ).
thf(gt_3_1,axiom,
gt @ n3 @ n1 ).
thf(zip_derived_cl150,plain,
gt @ n3 @ n1,
inference(cnf,[status(esa)],[gt_3_1]) ).
thf(leq_gt1,axiom,
! [X: $i,Y: $i] :
( ( gt @ Y @ X )
=> ( leq @ X @ Y ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( gt @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_gt1]) ).
thf(zip_derived_cl272,plain,
leq @ n1 @ n3,
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl9]) ).
thf('1',plain,
n5 != n1,
inference(demod,[status(thm)],[zip_derived_cl16778,zip_derived_cl272]) ).
thf(zip_derived_cl846_010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl16745,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl14284]) ).
thf(zip_derived_cl16747,plain,
( ( ( n4 = n1 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl16745]) ).
thf(zip_derived_cl17540,plain,
( ( n4 = n1 )
<= ( n4 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl16747]) ).
thf(zip_derived_cl336_011,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl164,zip_derived_cl285]) ).
thf(zip_derived_cl349_012,plain,
! [X0: $i] :
~ ( leq @ ( succ @ ( succ @ X0 ) ) @ X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl342,zip_derived_cl14]) ).
thf(zip_derived_cl399,plain,
~ ( leq @ ( succ @ n3 ) @ n2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl349]) ).
thf(zip_derived_cl469_013,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl162,zip_derived_cl164,zip_derived_cl285,zip_derived_cl336]) ).
thf(zip_derived_cl470,plain,
~ ( leq @ n4 @ n2 ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl469]) ).
thf(zip_derived_cl17570,plain,
( ~ ( leq @ n1 @ n2 )
<= ( n4 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17540,zip_derived_cl470]) ).
thf(gt_2_1,axiom,
gt @ n2 @ n1 ).
thf(zip_derived_cl149,plain,
gt @ n2 @ n1,
inference(cnf,[status(esa)],[gt_2_1]) ).
thf(zip_derived_cl9_014,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( gt @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_gt1]) ).
thf(zip_derived_cl270,plain,
leq @ n1 @ n2,
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl9]) ).
thf('2',plain,
n4 != n1,
inference(demod,[status(thm)],[zip_derived_cl17570,zip_derived_cl270]) ).
thf(zip_derived_cl846_015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl17539,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl16747]) ).
thf(zip_derived_cl17541,plain,
( ( ( n3 = n1 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl17539]) ).
thf(zip_derived_cl17917,plain,
( ( n3 = n1 )
<= ( n3 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl17541]) ).
thf(zip_derived_cl336_016,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl164,zip_derived_cl285]) ).
thf(zip_derived_cl342_017,plain,
! [X0: $i] :
~ ( leq @ ( succ @ X0 ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).
thf(zip_derived_cl356,plain,
~ ( leq @ n3 @ n2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl342]) ).
thf(zip_derived_cl17953,plain,
( ~ ( leq @ n1 @ n2 )
<= ( n3 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17917,zip_derived_cl356]) ).
thf(zip_derived_cl270_018,plain,
leq @ n1 @ n2,
inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl9]) ).
thf('3',plain,
n3 != n1,
inference(demod,[status(thm)],[zip_derived_cl17953,zip_derived_cl270]) ).
thf(zip_derived_cl17916,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl17541]) ).
thf(zip_derived_cl846_019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl17916_020,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl17541]) ).
thf(zip_derived_cl17918,plain,
( ( ( n2 = n1 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n1 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl17916]) ).
thf(sel2_update_1,axiom,
! [X: $i,U: $i,VAL: $i] :
( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
= VAL ) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl17919,plain,
( ( ( n2 = n1 )
| ( use != use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl17918,zip_derived_cl112]) ).
thf(zip_derived_cl17920,plain,
( ( n2 = n1 )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl17919]) ).
thf(zip_derived_cl112_021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl18066,plain,
( ( use != use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl17916,zip_derived_cl17920,zip_derived_cl112]) ).
thf('4',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl18066]) ).
thf('5',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use )
| ( n3 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl17541]) ).
thf('6',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
!= use )
| ( n4 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl16747]) ).
thf('7',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
!= use )
| ( n5 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl14284]) ).
thf(zip_derived_cl846_022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl172,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl14283,plain,
( ( ( n5 = n0 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n0 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl172]) ).
thf(zip_derived_cl15135,plain,
( ( n5 = n0 )
<= ( n5 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl14283]) ).
thf(zip_derived_cl755_023,plain,
~ ( leq @ n5 @ n3 ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl754]) ).
thf(zip_derived_cl15168,plain,
( ~ ( leq @ n0 @ n3 )
<= ( n5 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15135,zip_derived_cl755]) ).
thf(gt_3_0,axiom,
gt @ n3 @ n0 ).
thf(zip_derived_cl146,plain,
gt @ n3 @ n0,
inference(cnf,[status(esa)],[gt_3_0]) ).
thf(zip_derived_cl9_024,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( gt @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_gt1]) ).
thf(zip_derived_cl262,plain,
leq @ n0 @ n3,
inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl9]) ).
thf('8',plain,
n5 != n0,
inference(demod,[status(thm)],[zip_derived_cl15168,zip_derived_cl262]) ).
thf(zip_derived_cl846_025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl15134,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n0 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl14283]) ).
thf(zip_derived_cl15136,plain,
( ( ( n4 = n0 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl15134]) ).
thf(zip_derived_cl15817,plain,
( ( n4 = n0 )
<= ( n4 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl15136]) ).
thf(zip_derived_cl470_026,plain,
~ ( leq @ n4 @ n2 ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl469]) ).
thf(zip_derived_cl15848,plain,
( ~ ( leq @ n0 @ n2 )
<= ( n4 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15817,zip_derived_cl470]) ).
thf(gt_2_0,axiom,
gt @ n2 @ n0 ).
thf(zip_derived_cl145,plain,
gt @ n2 @ n0,
inference(cnf,[status(esa)],[gt_2_0]) ).
thf(zip_derived_cl9_027,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( gt @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_gt1]) ).
thf(zip_derived_cl260,plain,
leq @ n0 @ n2,
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl9]) ).
thf('9',plain,
n4 != n0,
inference(demod,[status(thm)],[zip_derived_cl15848,zip_derived_cl260]) ).
thf(zip_derived_cl846_028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl15816,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl15136]) ).
thf(zip_derived_cl15818,plain,
( ( ( n3 = n0 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl15816]) ).
thf(zip_derived_cl16088,plain,
( ( n3 = n0 )
<= ( n3 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl15818]) ).
thf(zip_derived_cl356_029,plain,
~ ( leq @ n3 @ n2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl342]) ).
thf(zip_derived_cl16123,plain,
( ~ ( leq @ n0 @ n2 )
<= ( n3 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16088,zip_derived_cl356]) ).
thf(zip_derived_cl260_030,plain,
leq @ n0 @ n2,
inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl9]) ).
thf('10',plain,
n3 != n0,
inference(demod,[status(thm)],[zip_derived_cl16123,zip_derived_cl260]) ).
thf(zip_derived_cl846_031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl16087,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl15818]) ).
thf(zip_derived_cl16089,plain,
( ( ( n2 = n0 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl16087]) ).
thf(zip_derived_cl16234,plain,
( ( n2 = n0 )
<= ( n2 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl16089]) ).
thf(zip_derived_cl285_032,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl164]) ).
thf(zip_derived_cl342_033,plain,
! [X0: $i] :
~ ( leq @ ( succ @ X0 ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).
thf(zip_derived_cl355,plain,
~ ( leq @ n2 @ n1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl342]) ).
thf(zip_derived_cl16272,plain,
( ~ ( leq @ n0 @ n1 )
<= ( n2 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16234,zip_derived_cl355]) ).
thf(gt_1_0,axiom,
gt @ n1 @ n0 ).
thf(zip_derived_cl144,plain,
gt @ n1 @ n0,
inference(cnf,[status(esa)],[gt_1_0]) ).
thf(zip_derived_cl9_034,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( gt @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_gt1]) ).
thf(zip_derived_cl258,plain,
leq @ n0 @ n1,
inference('s_sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl9]) ).
thf('11',plain,
n2 != n0,
inference(demod,[status(thm)],[zip_derived_cl16272,zip_derived_cl258]) ).
thf(zip_derived_cl16233,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl16089]) ).
thf(zip_derived_cl846_035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl16233_036,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl16089]) ).
thf(zip_derived_cl16235,plain,
( ( ( n1 = n0 )
| ( ( a_select2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n0 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl16233]) ).
thf(zip_derived_cl112_037,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl16236,plain,
( ( ( n1 = n0 )
| ( use != use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl16235,zip_derived_cl112]) ).
thf(zip_derived_cl16237,plain,
( ( n1 = n0 )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl16236]) ).
thf(zip_derived_cl112_038,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl16516,plain,
( ( use != use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl16233,zip_derived_cl16237,zip_derived_cl112]) ).
thf('12',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl16516]) ).
thf('13',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use )
| ( n2 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl16089]) ).
thf('14',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use )
| ( n3 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl15818]) ).
thf('15',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n0 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
!= use )
| ( n4 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl15136]) ).
thf('16',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n0 )
!= use )
| ( n5 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl14283]) ).
thf(zip_derived_cl168,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl846_039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl168_040,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl14287,plain,
( ( ( n5 = n4 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n4 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl168]) ).
thf(zip_derived_cl112_041,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl14494,plain,
( ( ( n5 = n4 )
| ( use != use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl14287,zip_derived_cl112]) ).
thf(zip_derived_cl14495,plain,
( ( n5 = n4 )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl14494]) ).
thf(zip_derived_cl112_042,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl14496,plain,
( ( use != use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl14495,zip_derived_cl112]) ).
thf('17',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl14496]) ).
thf(zip_derived_cl133,plain,
( ( a_select2 @ xinit_defuse @ n5 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl173,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
!= use )
<= ( ( a_select2 @ xinit_defuse @ n5 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl247,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_defuse @ n5 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl173]) ).
thf('18',plain,
( ( a_select2 @ xinit_defuse @ n5 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl247]) ).
thf(zip_derived_cl132,plain,
( ( a_select2 @ xinit_defuse @ n4 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl174,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
!= use )
<= ( ( a_select2 @ xinit_defuse @ n4 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl236,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_defuse @ n4 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl174]) ).
thf('19',plain,
( ( a_select2 @ xinit_defuse @ n4 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl236]) ).
thf(zip_derived_cl131,plain,
( ( a_select2 @ xinit_defuse @ n3 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl175,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
!= use )
<= ( ( a_select2 @ xinit_defuse @ n3 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl234,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_defuse @ n3 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl175]) ).
thf('20',plain,
( ( a_select2 @ xinit_defuse @ n3 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl234]) ).
thf(zip_derived_cl112_043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl167,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl681,plain,
( ( use != use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl167]) ).
thf('21',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl681]) ).
thf(zip_derived_cl130,plain,
( ( a_select3 @ u_defuse @ n2 @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl176,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use )
<= ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl265,plain,
( ( use != use )
<= ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl176]) ).
thf('22',plain,
( ( a_select3 @ u_defuse @ n2 @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl129,plain,
( ( a_select3 @ u_defuse @ n1 @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl177,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use )
<= ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl251,plain,
( ( use != use )
<= ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl177]) ).
thf('23',plain,
( ( a_select3 @ u_defuse @ n1 @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl128,plain,
( ( a_select3 @ u_defuse @ n0 @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl178,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use )
<= ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl249,plain,
( ( use != use )
<= ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl178]) ).
thf('24',plain,
( ( a_select3 @ u_defuse @ n0 @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl249]) ).
thf(zip_derived_cl127,plain,
( ( a_select2 @ sigma_defuse @ n5 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl179,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n5 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl232,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n5 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl179]) ).
thf('25',plain,
( ( a_select2 @ sigma_defuse @ n5 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl232]) ).
thf(zip_derived_cl126,plain,
( ( a_select2 @ sigma_defuse @ n4 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl180,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n4 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl221,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n4 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl180]) ).
thf('26',plain,
( ( a_select2 @ sigma_defuse @ n4 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl221]) ).
thf(zip_derived_cl125,plain,
( ( a_select2 @ sigma_defuse @ n3 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl181,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n3 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl219,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n3 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl181]) ).
thf('27',plain,
( ( a_select2 @ sigma_defuse @ n3 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl124,plain,
( ( a_select2 @ sigma_defuse @ n2 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl182,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl217,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl182]) ).
thf('28',plain,
( ( a_select2 @ sigma_defuse @ n2 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl123,plain,
( ( a_select2 @ sigma_defuse @ n1 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl183,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl206,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl183]) ).
thf('29',plain,
( ( a_select2 @ sigma_defuse @ n1 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl122,plain,
( ( a_select2 @ sigma_defuse @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl184,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl204,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl184]) ).
thf('30',plain,
( ( a_select2 @ sigma_defuse @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl204]) ).
thf(zip_derived_cl120,plain,
( ( a_select2 @ rho_defuse @ n1 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl186,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
!= use )
<= ( ( a_select2 @ rho_defuse @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl200,plain,
( ( use != use )
<= ( ( a_select2 @ rho_defuse @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl186]) ).
thf('31',plain,
( ( a_select2 @ rho_defuse @ n1 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl200]) ).
thf(zip_derived_cl119,plain,
( ( a_select2 @ rho_defuse @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
!= use )
<= ( ( a_select2 @ rho_defuse @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl194,plain,
( ( use != use )
<= ( ( a_select2 @ rho_defuse @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl187]) ).
thf('32',plain,
( ( a_select2 @ rho_defuse @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl194]) ).
thf(zip_derived_cl846_044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl170,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf(zip_derived_cl14285,plain,
( ( ( n5 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl170]) ).
thf(zip_derived_cl18205,plain,
( ( n5 = n2 )
<= ( n5 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl14285]) ).
thf(zip_derived_cl755_045,plain,
~ ( leq @ n5 @ n3 ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl754]) ).
thf(zip_derived_cl18236,plain,
( ~ ( leq @ n2 @ n3 )
<= ( n5 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18205,zip_derived_cl755]) ).
thf(gt_3_2,axiom,
gt @ n3 @ n2 ).
thf(zip_derived_cl153,plain,
gt @ n3 @ n2,
inference(cnf,[status(esa)],[gt_3_2]) ).
thf(zip_derived_cl9_046,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( gt @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_gt1]) ).
thf(zip_derived_cl280,plain,
leq @ n2 @ n3,
inference('s_sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl9]) ).
thf('33',plain,
n5 != n2,
inference(demod,[status(thm)],[zip_derived_cl18236,zip_derived_cl280]) ).
thf(zip_derived_cl846_047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl18204,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl14285]) ).
thf(zip_derived_cl18206,plain,
( ( ( n4 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl18204]) ).
thf(zip_derived_cl19014,plain,
( ( n4 = n2 )
<= ( n4 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl18206]) ).
thf(zip_derived_cl470_048,plain,
~ ( leq @ n4 @ n2 ),
inference(demod,[status(thm)],[zip_derived_cl399,zip_derived_cl469]) ).
thf(zip_derived_cl19045,plain,
( ~ ( leq @ n2 @ n2 )
<= ( n4 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19014,zip_derived_cl470]) ).
thf(reflexivity_leq,axiom,
! [X: $i] : ( leq @ X @ X ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_leq]) ).
thf('34',plain,
n4 != n2,
inference(demod,[status(thm)],[zip_derived_cl19045,zip_derived_cl3]) ).
thf(zip_derived_cl19013,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl18206]) ).
thf(zip_derived_cl846_049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
= ( a_select2 @ X3 @ X0 ) )
| ( X2 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl19013_050,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl18206]) ).
thf(zip_derived_cl19015,plain,
( ( ( n3 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl19013]) ).
thf(zip_derived_cl112_051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl19016,plain,
( ( ( n3 = n2 )
| ( use != use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl19015,zip_derived_cl112]) ).
thf(zip_derived_cl19017,plain,
( ( n3 = n2 )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl19016]) ).
thf(zip_derived_cl112_052,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl19331,plain,
( ( use != use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl19013,zip_derived_cl19017,zip_derived_cl112]) ).
thf('35',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl19331]) ).
thf('36',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use )
| ( n4 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl18206]) ).
thf('37',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
!= use )
| ( n5 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl14285]) ).
thf('38',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
!= use )
| ( ( a_select2 @ rho_defuse @ n0 )
!= use )
| ( ( a_select2 @ rho_defuse @ n1 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n0 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n1 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n2 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n3 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n4 )
!= use )
| ( ( a_select2 @ sigma_defuse @ n5 )
!= use )
| ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use )
| ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use )
| ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use )
| ( ( a_select2 @ xinit_defuse @ n3 )
!= use )
| ( ( a_select2 @ xinit_defuse @ n4 )
!= use )
| ( ( a_select2 @ xinit_defuse @ n5 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
!= use )
| ( ( a_select2 @ rho_defuse @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl134]) ).
thf('39',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use ),
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38']) ).
thf(zip_derived_cl19472,plain,
( ( n5 = n3 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl14286,'39']) ).
thf(zip_derived_cl19473,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl19472]) ).
thf(zip_derived_cl19476,plain,
( ( ( n4 = n3 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n3 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl846,zip_derived_cl19473]) ).
thf(zip_derived_cl112_053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
= X0 ),
inference(cnf,[status(esa)],[sel2_update_1]) ).
thf(zip_derived_cl19477,plain,
( ( ( n4 = n3 )
| ( use != use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl19476,zip_derived_cl112]) ).
thf(zip_derived_cl19478,plain,
( ( n4 = n3 )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl19477]) ).
thf(zip_derived_cl19474,plain,
( ( n5 = n3 )
<= ( n5 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl19472]) ).
thf(zip_derived_cl755_054,plain,
~ ( leq @ n5 @ n3 ),
inference(demod,[status(thm)],[zip_derived_cl475,zip_derived_cl754]) ).
thf(zip_derived_cl19506,plain,
( ~ ( leq @ n3 @ n3 )
<= ( n5 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19474,zip_derived_cl755]) ).
thf(zip_derived_cl3_055,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_leq]) ).
thf('40',plain,
n5 != n3,
inference(demod,[status(thm)],[zip_derived_cl19506,zip_derived_cl3]) ).
thf('41',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use )
| ( n5 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl19472]) ).
thf('42',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_mean_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ),
inference('sat_resolution*',[status(thm)],['40','41']) ).
thf(zip_derived_cl20139,plain,
n4 = n3,
inference(simpl_trail,[status(thm)],[zip_derived_cl19478,'42']) ).
thf(zip_derived_cl2_056,plain,
! [X0: $i] :
~ ( gt @ X0 @ X0 ),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
thf(zip_derived_cl20149,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl20139,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV090+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.o5zozpWSTA true
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 12:48:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 23.34/3.99 % Solved by fo/fo1_av.sh.
% 23.34/3.99 % done 3495 iterations in 3.220s
% 23.34/3.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 23.34/3.99 % SZS output start Refutation
% See solution above
% 23.34/3.99
% 23.34/3.99
% 23.34/3.99 % Terminating...
% 23.91/4.11 % Runner terminated.
% 23.91/4.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------