TSTP Solution File: SWV091+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV091+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YV86YhFAvc true
% Computer : n025.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 00:07:37 EDT 2023
% Result : Theorem 31.44s 5.07s
% Output : Refutation 31.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 39
% Syntax : Number of formulae : 318 ( 144 unt; 19 typ; 0 def)
% Number of atoms : 627 ( 548 equ; 0 cnn)
% Maximal formula atoms : 48 ( 2 avg)
% Number of connectives : 3683 ( 298 ~; 117 |; 93 &;3057 @)
% ( 1 <=>; 5 =>; 112 <=; 0 <~>)
% Maximal formula depth : 29 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 14 con; 0-3 aty)
% Number of variables : 137 ( 0 ^; 137 !; 0 ?; 137 :)
% 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(xinit_noise_defuse_type,type,
xinit_noise_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_cl160,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_cl1094,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_cl1094_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_0003,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 @ xinit_mean_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_mean_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 @ xinit_mean_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n5 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_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_noise_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_noise_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_noise_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_noise_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 @ xinit_mean_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_mean_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 @ xinit_mean_defuse @ n0 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n1 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n2 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n3 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n4 )
= use )
& ( ( a_select2 @ xinit_mean_defuse @ n5 )
= use )
& ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_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_noise_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_noise_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_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ) ) ),
inference('cnf.neg',[status(esa)],[quaternion_ds1_inuse_0003]) ).
thf(zip_derived_cl140,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 @ xinit_mean_defuse @ n0 )
!= use )
| ( ( a_select2 @ xinit_mean_defuse @ n1 )
!= use )
| ( ( a_select2 @ xinit_mean_defuse @ n2 )
!= use )
| ( ( a_select2 @ xinit_mean_defuse @ n3 )
!= use )
| ( ( a_select2 @ xinit_mean_defuse @ n4 )
!= use )
| ( ( a_select2 @ xinit_mean_defuse @ n5 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_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_noise_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_noise_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_noise_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_noise_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_cl175,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl21313,plain,
( ( ( n5 = n3 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl175]) ).
thf(zip_derived_cl121,plain,
( ( a_select2 @ rho_defuse @ n2 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl197,plain,
( ( ( a_select2 @ rho_defuse @ n2 )
!= use )
<= ( ( a_select2 @ rho_defuse @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl214,plain,
( ( use != use )
<= ( ( a_select2 @ rho_defuse @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl197]) ).
thf('0',plain,
( ( a_select2 @ rho_defuse @ n2 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl214]) ).
thf(zip_derived_cl1094_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_cl177,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl21311,plain,
( ( ( n5 = n1 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl177]) ).
thf(zip_derived_cl24236,plain,
( ( n5 = n1 )
<= ( n5 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl21311]) ).
thf(successor_4,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ) ).
thf(zip_derived_cl168,plain,
( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
= n4 ),
inference(cnf,[status(esa)],[successor_4]) ).
thf(successor_1,axiom,
( ( succ @ n0 )
= n1 ) ).
thf(zip_derived_cl170,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(successor_2,axiom,
( ( succ @ ( succ @ n0 ) )
= n2 ) ).
thf(zip_derived_cl171,plain,
( ( succ @ ( succ @ n0 ) )
= n2 ),
inference(cnf,[status(esa)],[successor_2]) ).
thf(zip_derived_cl170_003,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl314,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl170]) ).
thf(successor_3,axiom,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ) ).
thf(zip_derived_cl172,plain,
( ( succ @ ( succ @ ( succ @ n0 ) ) )
= n3 ),
inference(cnf,[status(esa)],[successor_3]) ).
thf(zip_derived_cl170_004,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl314_005,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl460,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl170,zip_derived_cl314]) ).
thf(zip_derived_cl686,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl170,zip_derived_cl314,zip_derived_cl460]) ).
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_cl361,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_cl367,plain,
! [X0: $i] :
~ ( leq @ ( succ @ ( succ @ X0 ) ) @ X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl361,zip_derived_cl14]) ).
thf(zip_derived_cl693,plain,
~ ( leq @ ( succ @ n4 ) @ n3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl686,zip_derived_cl367]) ).
thf(successor_5,axiom,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 ) ).
thf(zip_derived_cl169,plain,
( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
= n5 ),
inference(cnf,[status(esa)],[successor_5]) ).
thf(zip_derived_cl170_006,plain,
( ( succ @ n0 )
= n1 ),
inference(cnf,[status(esa)],[successor_1]) ).
thf(zip_derived_cl314_007,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl460_008,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl170,zip_derived_cl314]) ).
thf(zip_derived_cl686_009,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl170,zip_derived_cl314,zip_derived_cl460]) ).
thf(zip_derived_cl990,plain,
( ( succ @ n4 )
= n5 ),
inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl170,zip_derived_cl314,zip_derived_cl460,zip_derived_cl686]) ).
thf(zip_derived_cl991,plain,
~ ( leq @ n5 @ n3 ),
inference(demod,[status(thm)],[zip_derived_cl693,zip_derived_cl990]) ).
thf(zip_derived_cl24279,plain,
( ~ ( leq @ n1 @ n3 )
<= ( n5 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24236,zip_derived_cl991]) ).
thf(gt_3_1,axiom,
gt @ n3 @ n1 ).
thf(zip_derived_cl156,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_cl294,plain,
leq @ n1 @ n3,
inference('s_sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl9]) ).
thf('1',plain,
n5 != n1,
inference(demod,[status(thm)],[zip_derived_cl24279,zip_derived_cl294]) ).
thf(zip_derived_cl1094_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_cl24235,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl21311]) ).
thf(zip_derived_cl24237,plain,
( ( ( n4 = n1 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl24235]) ).
thf(zip_derived_cl25270,plain,
( ( n4 = n1 )
<= ( n4 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl24237]) ).
thf(zip_derived_cl460_011,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl170,zip_derived_cl314]) ).
thf(zip_derived_cl367_012,plain,
! [X0: $i] :
~ ( leq @ ( succ @ ( succ @ X0 ) ) @ X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl361,zip_derived_cl14]) ).
thf(zip_derived_cl466,plain,
~ ( leq @ ( succ @ n3 ) @ n2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl367]) ).
thf(zip_derived_cl686_013,plain,
( ( succ @ n3 )
= n4 ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl170,zip_derived_cl314,zip_derived_cl460]) ).
thf(zip_derived_cl687,plain,
~ ( leq @ n4 @ n2 ),
inference(demod,[status(thm)],[zip_derived_cl466,zip_derived_cl686]) ).
thf(zip_derived_cl25301,plain,
( ~ ( leq @ n1 @ n2 )
<= ( n4 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25270,zip_derived_cl687]) ).
thf(gt_2_1,axiom,
gt @ n2 @ n1 ).
thf(zip_derived_cl155,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_cl292,plain,
leq @ n1 @ n2,
inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl9]) ).
thf('2',plain,
n4 != n1,
inference(demod,[status(thm)],[zip_derived_cl25301,zip_derived_cl292]) ).
thf(zip_derived_cl1094_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_cl25269,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl24237]) ).
thf(zip_derived_cl25271,plain,
( ( ( n3 = n1 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl25269]) ).
thf(zip_derived_cl25694,plain,
( ( n3 = n1 )
<= ( n3 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl25271]) ).
thf(zip_derived_cl314_016,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl367_017,plain,
! [X0: $i] :
~ ( leq @ ( succ @ ( succ @ X0 ) ) @ X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl361,zip_derived_cl14]) ).
thf(zip_derived_cl404,plain,
~ ( leq @ ( succ @ n2 ) @ n1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl367]) ).
thf(zip_derived_cl460_018,plain,
( ( succ @ n2 )
= n3 ),
inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl170,zip_derived_cl314]) ).
thf(zip_derived_cl461,plain,
~ ( leq @ n3 @ n1 ),
inference(demod,[status(thm)],[zip_derived_cl404,zip_derived_cl460]) ).
thf(zip_derived_cl25728,plain,
( ~ ( leq @ n1 @ n1 )
<= ( n3 = n1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25694,zip_derived_cl461]) ).
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('3',plain,
n3 != n1,
inference(demod,[status(thm)],[zip_derived_cl25728,zip_derived_cl3]) ).
thf(zip_derived_cl25693,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl25271]) ).
thf(zip_derived_cl1094_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_cl25693_020,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl25271]) ).
thf(zip_derived_cl25695,plain,
( ( ( n2 = n1 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n1 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl25693]) ).
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_cl25696,plain,
( ( ( n2 = n1 )
| ( use != use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl25695,zip_derived_cl112]) ).
thf(zip_derived_cl25697,plain,
( ( n2 = n1 )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl25696]) ).
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_cl25828,plain,
( ( use != use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl25693,zip_derived_cl25697,zip_derived_cl112]) ).
thf('4',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl25828]) ).
thf('5',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
!= use )
| ( n3 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl25271]) ).
thf('6',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
!= use )
| ( n4 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl24237]) ).
thf('7',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
!= use )
| ( n5 = n1 ) ),
inference(split,[status(esa)],[zip_derived_cl21311]) ).
thf(zip_derived_cl1094_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_cl178,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl21310,plain,
( ( ( n5 = n0 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl178]) ).
thf(zip_derived_cl22475,plain,
( ( n5 = n0 )
<= ( n5 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl21310]) ).
thf(zip_derived_cl991_023,plain,
~ ( leq @ n5 @ n3 ),
inference(demod,[status(thm)],[zip_derived_cl693,zip_derived_cl990]) ).
thf(zip_derived_cl22519,plain,
( ~ ( leq @ n0 @ n3 )
<= ( n5 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22475,zip_derived_cl991]) ).
thf(gt_3_0,axiom,
gt @ n3 @ n0 ).
thf(zip_derived_cl152,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_cl278,plain,
leq @ n0 @ n3,
inference('s_sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl9]) ).
thf('8',plain,
n5 != n0,
inference(demod,[status(thm)],[zip_derived_cl22519,zip_derived_cl278]) ).
thf(zip_derived_cl1094_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_cl22474,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl21310]) ).
thf(zip_derived_cl22476,plain,
( ( ( n4 = n0 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl22474]) ).
thf(zip_derived_cl23385,plain,
( ( n4 = n0 )
<= ( n4 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl22476]) ).
thf(zip_derived_cl687_026,plain,
~ ( leq @ n4 @ n2 ),
inference(demod,[status(thm)],[zip_derived_cl466,zip_derived_cl686]) ).
thf(zip_derived_cl23417,plain,
( ~ ( leq @ n0 @ n2 )
<= ( n4 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23385,zip_derived_cl687]) ).
thf(gt_2_0,axiom,
gt @ n2 @ n0 ).
thf(zip_derived_cl151,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_cl276,plain,
leq @ n0 @ n2,
inference('s_sup-',[status(thm)],[zip_derived_cl151,zip_derived_cl9]) ).
thf('9',plain,
n4 != n0,
inference(demod,[status(thm)],[zip_derived_cl23417,zip_derived_cl276]) ).
thf(zip_derived_cl1094_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_cl23384,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl22476]) ).
thf(zip_derived_cl23386,plain,
( ( ( n3 = n0 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl23384]) ).
thf(zip_derived_cl23743,plain,
( ( n3 = n0 )
<= ( n3 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl23386]) ).
thf(zip_derived_cl461_029,plain,
~ ( leq @ n3 @ n1 ),
inference(demod,[status(thm)],[zip_derived_cl404,zip_derived_cl460]) ).
thf(zip_derived_cl23776,plain,
( ~ ( leq @ n0 @ n1 )
<= ( n3 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23743,zip_derived_cl461]) ).
thf(gt_1_0,axiom,
gt @ n1 @ n0 ).
thf(zip_derived_cl150,plain,
gt @ n1 @ n0,
inference(cnf,[status(esa)],[gt_1_0]) ).
thf(zip_derived_cl9_030,plain,
! [X0: $i,X1: $i] :
( ( leq @ X0 @ X1 )
| ~ ( gt @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[leq_gt1]) ).
thf(zip_derived_cl264,plain,
leq @ n0 @ n1,
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl9]) ).
thf('10',plain,
n3 != n0,
inference(demod,[status(thm)],[zip_derived_cl23776,zip_derived_cl264]) ).
thf(zip_derived_cl1094_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_cl23742,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl23386]) ).
thf(zip_derived_cl23744,plain,
( ( ( n2 = n0 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl23742]) ).
thf(zip_derived_cl23912,plain,
( ( n2 = n0 )
<= ( n2 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl23744]) ).
thf(zip_derived_cl314_032,plain,
( ( succ @ n1 )
= n2 ),
inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl170]) ).
thf(zip_derived_cl361_033,plain,
! [X0: $i] :
~ ( leq @ ( succ @ X0 ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).
thf(zip_derived_cl373,plain,
~ ( leq @ n2 @ n1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl314,zip_derived_cl361]) ).
thf(zip_derived_cl23950,plain,
( ~ ( leq @ n0 @ n1 )
<= ( n2 = n0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23912,zip_derived_cl373]) ).
thf(zip_derived_cl264_034,plain,
leq @ n0 @ n1,
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl9]) ).
thf('11',plain,
n2 != n0,
inference(demod,[status(thm)],[zip_derived_cl23950,zip_derived_cl264]) ).
thf(zip_derived_cl23911,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl23744]) ).
thf(zip_derived_cl1094_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_cl23911_036,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl23744]) ).
thf(zip_derived_cl23913,plain,
( ( ( n1 = n0 )
| ( ( a_select2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n0 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl23911]) ).
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_cl23914,plain,
( ( ( n1 = n0 )
| ( use != use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl23913,zip_derived_cl112]) ).
thf(zip_derived_cl23915,plain,
( ( n1 = n0 )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl23914]) ).
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_cl24077,plain,
( ( use != use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl23911,zip_derived_cl23915,zip_derived_cl112]) ).
thf('12',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl24077]) ).
thf('13',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n0 )
!= use )
| ( n2 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl23744]) ).
thf('14',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n0 )
!= use )
| ( n3 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl23386]) ).
thf('15',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n0 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n0 )
!= use )
| ( n4 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl22476]) ).
thf('16',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n0 )
!= use )
| ( n5 = n0 ) ),
inference(split,[status(esa)],[zip_derived_cl21310]) ).
thf(zip_derived_cl174,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl1094_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_cl174_040,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl21314,plain,
( ( ( n5 = n4 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl174]) ).
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_cl21603,plain,
( ( ( n5 = n4 )
| ( use != use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl21314,zip_derived_cl112]) ).
thf(zip_derived_cl21604,plain,
( ( n5 = n4 )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl21603]) ).
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_cl21607,plain,
( ( use != use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl21604,zip_derived_cl112]) ).
thf('17',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl21607]) ).
thf(zip_derived_cl139,plain,
( ( a_select2 @ xinit_mean_defuse @ n5 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl179,plain,
( ( ( a_select2 @ xinit_mean_defuse @ n5 )
!= use )
<= ( ( a_select2 @ xinit_mean_defuse @ n5 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl285,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_mean_defuse @ n5 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl179]) ).
thf('18',plain,
( ( a_select2 @ xinit_mean_defuse @ n5 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl285]) ).
thf(zip_derived_cl138,plain,
( ( a_select2 @ xinit_mean_defuse @ n4 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl180,plain,
( ( ( a_select2 @ xinit_mean_defuse @ n4 )
!= use )
<= ( ( a_select2 @ xinit_mean_defuse @ n4 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl283,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_mean_defuse @ n4 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl180]) ).
thf('19',plain,
( ( a_select2 @ xinit_mean_defuse @ n4 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl283]) ).
thf(zip_derived_cl137,plain,
( ( a_select2 @ xinit_mean_defuse @ n3 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl181,plain,
( ( ( a_select2 @ xinit_mean_defuse @ n3 )
!= use )
<= ( ( a_select2 @ xinit_mean_defuse @ n3 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl269,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_mean_defuse @ n3 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl181]) ).
thf('20',plain,
( ( a_select2 @ xinit_mean_defuse @ n3 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl269]) ).
thf(zip_derived_cl136,plain,
( ( a_select2 @ xinit_mean_defuse @ n2 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl182,plain,
( ( ( a_select2 @ xinit_mean_defuse @ n2 )
!= use )
<= ( ( a_select2 @ xinit_mean_defuse @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl267,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_mean_defuse @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl136,zip_derived_cl182]) ).
thf('21',plain,
( ( a_select2 @ xinit_mean_defuse @ n2 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl267]) ).
thf(zip_derived_cl135,plain,
( ( a_select2 @ xinit_mean_defuse @ n1 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl183,plain,
( ( ( a_select2 @ xinit_mean_defuse @ n1 )
!= use )
<= ( ( a_select2 @ xinit_mean_defuse @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl265,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_mean_defuse @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl183]) ).
thf('22',plain,
( ( a_select2 @ xinit_mean_defuse @ n1 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl265]) ).
thf(zip_derived_cl134,plain,
( ( a_select2 @ xinit_mean_defuse @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl184,plain,
( ( ( a_select2 @ xinit_mean_defuse @ n0 )
!= use )
<= ( ( a_select2 @ xinit_mean_defuse @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl254,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_mean_defuse @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl184]) ).
thf('23',plain,
( ( a_select2 @ xinit_mean_defuse @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl254]) ).
thf(zip_derived_cl133,plain,
( ( a_select2 @ xinit_defuse @ n5 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl185,plain,
( ( ( a_select2 @ xinit_defuse @ n5 )
!= use )
<= ( ( a_select2 @ xinit_defuse @ n5 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl252,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_defuse @ n5 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl185]) ).
thf('24',plain,
( ( a_select2 @ xinit_defuse @ n5 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl252]) ).
thf(zip_derived_cl132,plain,
( ( a_select2 @ xinit_defuse @ n4 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl186,plain,
( ( ( a_select2 @ xinit_defuse @ n4 )
!= use )
<= ( ( a_select2 @ xinit_defuse @ n4 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl250,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_defuse @ n4 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl186]) ).
thf('25',plain,
( ( a_select2 @ xinit_defuse @ n4 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl250]) ).
thf(zip_derived_cl131,plain,
( ( a_select2 @ xinit_defuse @ n3 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl187,plain,
( ( ( a_select2 @ xinit_defuse @ n3 )
!= use )
<= ( ( a_select2 @ xinit_defuse @ n3 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl239,plain,
( ( use != use )
<= ( ( a_select2 @ xinit_defuse @ n3 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl187]) ).
thf('26',plain,
( ( a_select2 @ xinit_defuse @ n3 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl239]) ).
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_cl173,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl935,plain,
( ( use != use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_cl173]) ).
thf('27',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl935]) ).
thf(zip_derived_cl130,plain,
( ( a_select3 @ u_defuse @ n2 @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl188,plain,
( ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use )
<= ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl301,plain,
( ( use != use )
<= ( ( a_select3 @ u_defuse @ n2 @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl188]) ).
thf('28',plain,
( ( a_select3 @ u_defuse @ n2 @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl301]) ).
thf(zip_derived_cl129,plain,
( ( a_select3 @ u_defuse @ n1 @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl189,plain,
( ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use )
<= ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl299,plain,
( ( use != use )
<= ( ( a_select3 @ u_defuse @ n1 @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl189]) ).
thf('29',plain,
( ( a_select3 @ u_defuse @ n1 @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl128,plain,
( ( a_select3 @ u_defuse @ n0 @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl190,plain,
( ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use )
<= ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl287,plain,
( ( use != use )
<= ( ( a_select3 @ u_defuse @ n0 @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl190]) ).
thf('30',plain,
( ( a_select3 @ u_defuse @ n0 @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl287]) ).
thf(zip_derived_cl127,plain,
( ( a_select2 @ sigma_defuse @ n5 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl191,plain,
( ( ( a_select2 @ sigma_defuse @ n5 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n5 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl237,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n5 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl191]) ).
thf('31',plain,
( ( a_select2 @ sigma_defuse @ n5 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl237]) ).
thf(zip_derived_cl126,plain,
( ( a_select2 @ sigma_defuse @ n4 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl192,plain,
( ( ( a_select2 @ sigma_defuse @ n4 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n4 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl235,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n4 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl192]) ).
thf('32',plain,
( ( a_select2 @ sigma_defuse @ n4 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl235]) ).
thf(zip_derived_cl125,plain,
( ( a_select2 @ sigma_defuse @ n3 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl193,plain,
( ( ( a_select2 @ sigma_defuse @ n3 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n3 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl226,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n3 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl193]) ).
thf('33',plain,
( ( a_select2 @ sigma_defuse @ n3 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl124,plain,
( ( a_select2 @ sigma_defuse @ n2 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl194,plain,
( ( ( a_select2 @ sigma_defuse @ n2 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl224,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl124,zip_derived_cl194]) ).
thf('34',plain,
( ( a_select2 @ sigma_defuse @ n2 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl224]) ).
thf(zip_derived_cl123,plain,
( ( a_select2 @ sigma_defuse @ n1 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl195,plain,
( ( ( a_select2 @ sigma_defuse @ n1 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl222,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl195]) ).
thf('35',plain,
( ( a_select2 @ sigma_defuse @ n1 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl122,plain,
( ( a_select2 @ sigma_defuse @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl196,plain,
( ( ( a_select2 @ sigma_defuse @ n0 )
!= use )
<= ( ( a_select2 @ sigma_defuse @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl216,plain,
( ( use != use )
<= ( ( a_select2 @ sigma_defuse @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl196]) ).
thf('36',plain,
( ( a_select2 @ sigma_defuse @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl216]) ).
thf(zip_derived_cl120,plain,
( ( a_select2 @ rho_defuse @ n1 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl198,plain,
( ( ( a_select2 @ rho_defuse @ n1 )
!= use )
<= ( ( a_select2 @ rho_defuse @ n1 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl212,plain,
( ( use != use )
<= ( ( a_select2 @ rho_defuse @ n1 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl198]) ).
thf('37',plain,
( ( a_select2 @ rho_defuse @ n1 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl212]) ).
thf(zip_derived_cl119,plain,
( ( a_select2 @ rho_defuse @ n0 )
= use ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl199,plain,
( ( ( a_select2 @ rho_defuse @ n0 )
!= use )
<= ( ( a_select2 @ rho_defuse @ n0 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl206,plain,
( ( use != use )
<= ( ( a_select2 @ rho_defuse @ n0 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl199]) ).
thf('38',plain,
( ( a_select2 @ rho_defuse @ n0 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl206]) ).
thf(zip_derived_cl1094_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_cl176,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl140]) ).
thf(zip_derived_cl21312,plain,
( ( ( n5 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl176]) ).
thf(zip_derived_cl25955,plain,
( ( n5 = n2 )
<= ( n5 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl21312]) ).
thf(zip_derived_cl991_045,plain,
~ ( leq @ n5 @ n3 ),
inference(demod,[status(thm)],[zip_derived_cl693,zip_derived_cl990]) ).
thf(zip_derived_cl25997,plain,
( ~ ( leq @ n2 @ n3 )
<= ( n5 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25955,zip_derived_cl991]) ).
thf(gt_3_2,axiom,
gt @ n3 @ n2 ).
thf(zip_derived_cl159,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_cl304,plain,
leq @ n2 @ n3,
inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl9]) ).
thf('39',plain,
n5 != n2,
inference(demod,[status(thm)],[zip_derived_cl25997,zip_derived_cl304]) ).
thf(zip_derived_cl1094_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_cl25954,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl21312]) ).
thf(zip_derived_cl25956,plain,
( ( ( n4 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl25954]) ).
thf(zip_derived_cl26770,plain,
( ( n4 = n2 )
<= ( n4 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl25956]) ).
thf(zip_derived_cl687_048,plain,
~ ( leq @ n4 @ n2 ),
inference(demod,[status(thm)],[zip_derived_cl466,zip_derived_cl686]) ).
thf(zip_derived_cl26802,plain,
( ~ ( leq @ n2 @ n2 )
<= ( n4 = n2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26770,zip_derived_cl687]) ).
thf(zip_derived_cl3_049,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_leq]) ).
thf('40',plain,
n4 != n2,
inference(demod,[status(thm)],[zip_derived_cl26802,zip_derived_cl3]) ).
thf(zip_derived_cl26769,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl25956]) ).
thf(zip_derived_cl1094_050,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_cl26769_051,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl25956]) ).
thf(zip_derived_cl26771,plain,
( ( ( n3 = n2 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl26769]) ).
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_cl26772,plain,
( ( ( n3 = n2 )
| ( use != use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl26771,zip_derived_cl112]) ).
thf(zip_derived_cl26773,plain,
( ( n3 = n2 )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl26772]) ).
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_cl27185,plain,
( ( use != use )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl26769,zip_derived_cl26773,zip_derived_cl112]) ).
thf('41',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
= use ),
inference(simplify,[status(thm)],[zip_derived_cl27185]) ).
thf('42',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
!= use )
| ( n4 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl25956]) ).
thf('43',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
!= use )
| ( n5 = n2 ) ),
inference(split,[status(esa)],[zip_derived_cl21312]) ).
thf('44',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_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_noise_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 @ xinit_mean_defuse @ n0 )
!= use )
| ( ( a_select2 @ xinit_mean_defuse @ n1 )
!= use )
| ( ( a_select2 @ xinit_mean_defuse @ n2 )
!= use )
| ( ( a_select2 @ xinit_mean_defuse @ n3 )
!= use )
| ( ( a_select2 @ xinit_mean_defuse @ n4 )
!= use )
| ( ( a_select2 @ xinit_mean_defuse @ n5 )
!= use )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_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_noise_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_cl140]) ).
thf('45',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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','39','40','41','42','43','44']) ).
thf(zip_derived_cl27313,plain,
( ( n5 = n3 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl21313,'45']) ).
thf(zip_derived_cl27314,plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_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_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) ),
inference(split,[status(esa)],[zip_derived_cl27313]) ).
thf(zip_derived_cl27317,plain,
( ( ( n4 = n3 )
| ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n3 )
!= use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1094,zip_derived_cl27314]) ).
thf(zip_derived_cl112_054,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_cl27318,plain,
( ( ( n4 = n3 )
| ( use != use ) )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) ),
inference(demod,[status(thm)],[zip_derived_cl27317,zip_derived_cl112]) ).
thf(zip_derived_cl27319,plain,
( ( n4 = n3 )
<= ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ) ),
inference(simplify,[status(thm)],[zip_derived_cl27318]) ).
thf(zip_derived_cl27315,plain,
( ( n5 = n3 )
<= ( n5 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl27313]) ).
thf(zip_derived_cl991_055,plain,
~ ( leq @ n5 @ n3 ),
inference(demod,[status(thm)],[zip_derived_cl693,zip_derived_cl990]) ).
thf(zip_derived_cl27358,plain,
( ~ ( leq @ n3 @ n3 )
<= ( n5 = n3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27315,zip_derived_cl991]) ).
thf(zip_derived_cl3_056,plain,
! [X0: $i] : ( leq @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_leq]) ).
thf('46',plain,
n5 != n3,
inference(demod,[status(thm)],[zip_derived_cl27358,zip_derived_cl3]) ).
thf('47',plain,
( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use )
| ( n5 = n3 ) ),
inference(split,[status(esa)],[zip_derived_cl27313]) ).
thf('48',plain,
( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ xinit_noise_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
!= use ),
inference('sat_resolution*',[status(thm)],['46','47']) ).
thf(zip_derived_cl28226,plain,
n4 = n3,
inference(simpl_trail,[status(thm)],[zip_derived_cl27319,'48']) ).
thf(zip_derived_cl2_057,plain,
! [X0: $i] :
~ ( gt @ X0 @ X0 ),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
thf(zip_derived_cl28237,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl160,zip_derived_cl28226,zip_derived_cl2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV091+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YV86YhFAvc true
% 0.13/0.34 % Computer : n025.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 : Tue Aug 29 10:27:25 EDT 2023
% 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
% 0.13/0.34 % Number of cores: 8
% 0.19/0.34 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 31.44/5.07 % Solved by fo/fo1_av.sh.
% 31.44/5.07 % done 4302 iterations in 4.319s
% 31.44/5.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 31.44/5.07 % SZS output start Refutation
% See solution above
% 31.44/5.07
% 31.44/5.07
% 31.44/5.07 % Terminating...
% 31.44/5.14 % Runner terminated.
% 31.44/5.15 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------