%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : DAT385^1 : TPTP v9.2.1. Released v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Wed Feb 25 08:45:37 AM UTC 2026
% Result : Theorem 1.84s 1.87s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 103 ( 62 unt; 0 typ; 0 def)
% Number of atoms : 584 ( 141 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 1731 ( 4 ~; 45 |; 9 &;1450 @)
% ( 2 <=>; 100 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 18 usr; 7 con; 0-4 aty)
% ( 121 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 328 ( 140 ^; 188 !; 0 ?; 328 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
elem: $tType ).
thf(type_def_7,type,
nat: $tType ).
thf(type_def_8,type,
list: $tType ).
thf(func_def_0,type,
isPer:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > $o ) ).
thf(func_def_2,type,
elem: $tType ).
thf(func_def_3,type,
elemStar: elem > elem > $o ).
thf(func_def_4,type,
nat: $tType ).
thf(func_def_5,type,
natStar: nat > nat > $o ).
thf(func_def_6,type,
zero: nat ).
thf(func_def_7,type,
suc: nat > nat ).
thf(func_def_8,type,
plus: nat > nat > nat ).
thf(func_def_9,type,
list: $tType ).
thf(func_def_10,type,
listStar: nat > list > list > $o ).
thf(func_def_11,type,
nil: list ).
thf(func_def_12,type,
cons: nat > elem > list > list ).
thf(func_def_13,type,
app: nat > nat > list > list > list ).
thf(func_def_14,type,
rev: nat > list > list ).
thf(func_def_31,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
sK2: list ).
thf(func_def_33,type,
sK3: nat ).
thf(func_def_34,type,
inv_suc_4: nat > nat ).
thf(func_def_35,type,
sK5: ( nat > $o ) > nat ).
thf(func_def_36,type,
sK6:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(func_def_37,type,
sK7:
!>[X0: $tType] : ( ( X0 > X0 > $o ) > X0 ) ).
thf(f713,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f712]) ).
thf(f712,plain,
$true = $false,
inference(backward_demodulation,[status(thm)],[f62,f711]) ).
thf(f711,plain,
( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f710]) ).
thf(f710,plain,
( ( $true = $false )
| ( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
= $false ) ),
inference(forward_demodulation,[status(thm)],[f709,f85]) ).
thf(f85,plain,
( $true
= ( listStar @ sK3 @ sK2 @ sK2 ) ),
inference(binary_proxy_clausification,[status(thm)],[f83]) ).
thf(f83,plain,
( $false
= ( ( listStar @ sK3 @ sK2 @ sK2 )
=> ( listStar @ ( plus @ zero @ sK3 ) @ ( rev @ ( plus @ zero @ sK3 ) @ ( app @ zero @ sK3 @ ( rev @ zero @ nil ) @ sK2 ) ) @ ( rev @ sK3 @ sK2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f82]) ).
thf(f82,plain,
( ( ^ [Y0: nat] :
( ( listStar @ Y0 @ sK2 @ sK2 )
=> ( listStar @ ( plus @ zero @ Y0 ) @ ( rev @ ( plus @ zero @ Y0 ) @ ( app @ zero @ Y0 @ ( rev @ zero @ nil ) @ sK2 ) ) @ ( rev @ Y0 @ sK2 ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[status(thm)],[f79]) ).
thf(f79,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( listStar @ Y0 @ sK2 @ sK2 )
=> ( listStar @ ( plus @ zero @ Y0 ) @ ( rev @ ( plus @ zero @ Y0 ) @ ( app @ zero @ Y0 @ ( rev @ zero @ nil ) @ sK2 ) ) @ ( rev @ Y0 @ sK2 ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f78]) ).
thf(f78,plain,
( ( ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ Y0 @ Y0 )
=> ( listStar @ ( plus @ zero @ Y1 ) @ ( rev @ ( plus @ zero @ Y1 ) @ ( app @ zero @ Y1 @ ( rev @ zero @ nil ) @ Y0 ) ) @ ( rev @ Y1 @ Y0 ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[status(thm)],[f77]) ).
thf(f77,plain,
( ( !! @ list
@ ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ Y0 @ Y0 )
=> ( listStar @ ( plus @ zero @ Y1 ) @ ( rev @ ( plus @ zero @ Y1 ) @ ( app @ zero @ Y1 @ ( rev @ zero @ nil ) @ Y0 ) ) @ ( rev @ Y1 @ Y0 ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f74]) ).
thf(f74,plain,
( ( ~ ( !! @ list
@ ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ Y0 @ Y0 )
=> ( listStar @ ( plus @ zero @ Y1 ) @ ( rev @ ( plus @ zero @ Y1 ) @ ( app @ zero @ Y1 @ ( rev @ zero @ nil ) @ Y0 ) ) @ ( rev @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f24,plain,
( ( ~ ( !! @ list
@ ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ Y0 @ Y0 )
=> ( listStar @ ( plus @ zero @ Y1 ) @ ( rev @ ( plus @ zero @ Y1 ) @ ( app @ zero @ Y1 @ ( rev @ zero @ nil ) @ Y0 ) ) @ ( rev @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f23]) ).
thf(f23,plain,
~ ! [X0: nat,X1: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( listStar @ ( plus @ zero @ X0 ) @ ( rev @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ ( rev @ zero @ nil ) @ X1 ) ) @ ( rev @ X0 @ X1 ) ) ),
inference(rectify,[status(thm)],[f19]) ).
thf(f19,negated_conjecture,
~ ! [X13: nat,X14: list] :
( ( listStar @ X13 @ X14 @ X14 )
=> ( listStar @ ( plus @ zero @ X13 ) @ ( rev @ ( plus @ zero @ X13 ) @ ( app @ zero @ X13 @ ( rev @ zero @ nil ) @ X14 ) ) @ ( rev @ X13 @ X14 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
thf(f18,conjecture,
! [X13: nat,X14: list] :
( ( listStar @ X13 @ X14 @ X14 )
=> ( listStar @ ( plus @ zero @ X13 ) @ ( rev @ ( plus @ zero @ X13 ) @ ( app @ zero @ X13 @ ( rev @ zero @ nil ) @ X14 ) ) @ ( rev @ X13 @ X14 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',list_rev_invol_lem_base_step1) ).
thf(f709,plain,
( ( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
= $false )
| ( ( listStar @ sK3 @ sK2 @ sK2 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f708]) ).
thf(f708,plain,
( ( ( listStar @ sK3 @ sK2 @ sK2 )
= $false )
| ( $true = $false )
| ( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
= $false ) ),
inference(duplicate_literal_removal,[status(thm)],[f700]) ).
thf(f700,plain,
( ( ( listStar @ sK3 @ sK2 @ sK2 )
= $false )
| ( $true = $false )
| ( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
= $false )
| ( ( listStar @ sK3 @ sK2 @ sK2 )
= $false ) ),
inference(superposition,[status(thm)],[f630,f192]) ).
thf(f192,plain,
! [X2: nat,X1: list] :
( ( $true
= ( listStar @ X2 @ ( app @ zero @ X2 @ nil @ X1 ) @ X1 ) )
| ( ( listStar @ X2 @ X1 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f191]) ).
thf(f191,plain,
! [X2: nat,X1: list] :
( $true
= ( ( listStar @ X2 @ X1 @ X1 )
=> ( listStar @ X2 @ ( app @ zero @ X2 @ nil @ X1 ) @ X1 ) ) ),
inference(forward_demodulation,[status(thm)],[f190,f92]) ).
thf(f92,plain,
! [X1: nat] :
( ( plus @ zero @ X1 )
= X1 ),
inference(equality_proxy_clausification,[status(thm)],[f91]) ).
thf(f91,plain,
! [X1: nat] :
( $true
= ( ( plus @ zero @ X1 )
= X1 ) ),
inference(beta_eta_normalization,[status(thm)],[f90]) ).
thf(f90,plain,
! [X1: nat] :
( $true
= ( ^ [Y0: nat] :
( ( plus @ zero @ Y0 )
= Y0 )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f60]) ).
thf(f60,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( plus @ zero @ Y0 )
= Y0 ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f48]) ).
thf(f48,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( plus @ zero @ Y0 )
= Y0 ) )
= $true ),
inference(fool_elimination,[status(thm)],[f47]) ).
thf(f47,plain,
! [X0: nat] :
( ( plus @ zero @ X0 )
= X0 ),
inference(rectify,[status(thm)],[f12]) ).
thf(f12,axiom,
! [X6: nat] :
( ( plus @ zero @ X6 )
= X6 ),
file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',ax1) ).
thf(f190,plain,
! [X2: nat,X1: list] :
( ( ( listStar @ X2 @ X1 @ X1 )
=> ( listStar @ ( plus @ zero @ X2 ) @ ( app @ zero @ X2 @ nil @ X1 ) @ X1 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f189]) ).
thf(f189,plain,
! [X2: nat,X1: list] :
( $true
= ( ^ [Y0: nat] :
( ( listStar @ Y0 @ X1 @ X1 )
=> ( listStar @ ( plus @ zero @ Y0 ) @ ( app @ zero @ Y0 @ nil @ X1 ) @ X1 ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f167]) ).
thf(f167,plain,
! [X1: list] :
( ( !! @ nat
@ ^ [Y0: nat] :
( ( listStar @ Y0 @ X1 @ X1 )
=> ( listStar @ ( plus @ zero @ Y0 ) @ ( app @ zero @ Y0 @ nil @ X1 ) @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f166]) ).
thf(f166,plain,
! [X1: list] :
( $true
= ( ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ Y0 @ Y0 )
=> ( listStar @ ( plus @ zero @ Y1 ) @ ( app @ zero @ Y1 @ nil @ Y0 ) @ Y0 ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f68]) ).
thf(f68,plain,
( $true
= ( !! @ list
@ ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ Y0 @ Y0 )
=> ( listStar @ ( plus @ zero @ Y1 ) @ ( app @ zero @ Y1 @ nil @ Y0 ) @ Y0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
thf(f46,plain,
( $true
= ( !! @ list
@ ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ Y0 @ Y0 )
=> ( listStar @ ( plus @ zero @ Y1 ) @ ( app @ zero @ Y1 @ nil @ Y0 ) @ Y0 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f45]) ).
thf(f45,plain,
! [X0: nat,X1: list] :
( ( listStar @ X0 @ X1 @ X1 )
=> ( listStar @ ( plus @ zero @ X0 ) @ ( app @ zero @ X0 @ nil @ X1 ) @ X1 ) ),
inference(rectify,[status(thm)],[f14]) ).
thf(f14,axiom,
! [X6: nat,X2: list] :
( ( listStar @ X6 @ X2 @ X2 )
=> ( listStar @ ( plus @ zero @ X6 ) @ ( app @ zero @ X6 @ nil @ X2 ) @ X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',ax3) ).
thf(f630,plain,
! [X0: list,X1: list] :
( ( ( listStar @ sK3 @ ( app @ zero @ sK3 @ X0 @ X1 ) @ sK2 )
= $false )
| ( $false
= ( listStar @ zero @ ( rev @ zero @ nil ) @ X0 ) )
| ( ( listStar @ sK3 @ sK2 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f623]) ).
thf(f623,plain,
! [X0: list,X1: list] :
( ( ( listStar @ sK3 @ ( app @ zero @ sK3 @ X0 @ X1 ) @ sK2 )
= $false )
| ( $true = $false )
| ( $false
= ( listStar @ zero @ ( rev @ zero @ nil ) @ X0 ) )
| ( ( listStar @ sK3 @ sK2 @ X1 )
= $false ) ),
inference(superposition,[status(thm)],[f331,f617]) ).
thf(f617,plain,
! [X0: list] :
( ( ( listStar @ sK3 @ ( app @ zero @ sK3 @ ( rev @ zero @ nil ) @ sK2 ) @ X0 )
= $false )
| ( $false
= ( listStar @ sK3 @ X0 @ sK2 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f616]) ).
thf(f616,plain,
! [X0: list] :
( ( ( listStar @ sK3 @ ( app @ zero @ sK3 @ ( rev @ zero @ nil ) @ sK2 ) @ X0 )
= $false )
| ( $true = $false )
| ( $false
= ( listStar @ sK3 @ X0 @ sK2 ) ) ),
inference(forward_demodulation,[status(thm)],[f602,f81]) ).
thf(f81,plain,
! [X1: nat] :
( ( isPer @ list @ ( listStar @ X1 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f80]) ).
thf(f80,plain,
! [X1: nat] :
( $true
= ( ^ [Y0: nat] : ( isPer @ list @ ( listStar @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f63]) ).
thf(f63,plain,
( ( !! @ nat
@ ^ [Y0: nat] : ( isPer @ list @ ( listStar @ Y0 ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f54]) ).
thf(f54,plain,
( ( !! @ nat
@ ^ [Y0: nat] : ( isPer @ list @ ( listStar @ Y0 ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f53]) ).
thf(f53,plain,
! [X0: nat] : ( isPer @ list @ ( listStar @ X0 ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,axiom,
! [X5: nat] : ( isPer @ list @ ( listStar @ X5 ) ),
file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p','\'listStar\'_is_per') ).
thf(f602,plain,
! [X0: list] :
( ( $false
= ( listStar @ sK3 @ X0 @ sK2 ) )
| ( $false
= ( isPer @ list @ ( listStar @ sK3 ) ) )
| ( ( listStar @ sK3 @ ( app @ zero @ sK3 @ ( rev @ zero @ nil ) @ sK2 ) @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f567]) ).
thf(f567,plain,
! [X0: list] :
( ( $false
= ( listStar @ sK3 @ X0 @ sK2 ) )
| ( $true = $false )
| ( $false
= ( isPer @ list @ ( listStar @ sK3 ) ) )
| ( ( listStar @ sK3 @ ( app @ zero @ sK3 @ ( rev @ zero @ nil ) @ sK2 ) @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f551,f152]) ).
thf(f152,plain,
( ( listStar @ sK3 @ ( app @ zero @ sK3 @ ( rev @ zero @ nil ) @ sK2 ) @ sK2 )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f149]) ).
thf(f149,plain,
( ( ( listStar @ sK3 @ ( app @ zero @ sK3 @ ( rev @ zero @ nil ) @ sK2 ) @ sK2 )
= $false )
| ( $true = $false ) ),
inference(superposition,[status(thm)],[f148,f93]) ).
thf(f93,plain,
( ( listStar @ sK3 @ ( rev @ sK3 @ ( app @ zero @ sK3 @ ( rev @ zero @ nil ) @ sK2 ) ) @ ( rev @ sK3 @ sK2 ) )
= $false ),
inference(backward_demodulation,[status(thm)],[f84,f92]) ).
thf(f84,plain,
( ( listStar @ ( plus @ zero @ sK3 ) @ ( rev @ ( plus @ zero @ sK3 ) @ ( app @ zero @ sK3 @ ( rev @ zero @ nil ) @ sK2 ) ) @ ( rev @ sK3 @ sK2 ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f83]) ).
thf(f148,plain,
! [X2: list,X3: nat,X1: list] :
( ( ( listStar @ X3 @ ( rev @ X3 @ X2 ) @ ( rev @ X3 @ X1 ) )
= $true )
| ( $false
= ( listStar @ X3 @ X2 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f147]) ).
thf(f147,plain,
! [X2: list,X3: nat,X1: list] :
( $true
= ( ( listStar @ X3 @ X2 @ X1 )
=> ( listStar @ X3 @ ( rev @ X3 @ X2 ) @ ( rev @ X3 @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f146]) ).
thf(f146,plain,
! [X2: list,X3: nat,X1: list] :
( $true
= ( ^ [Y0: nat] :
( ( listStar @ Y0 @ X2 @ X1 )
=> ( listStar @ Y0 @ ( rev @ Y0 @ X2 ) @ ( rev @ Y0 @ X1 ) ) )
@ X3 ) ),
inference(pi_clausification,[status(thm)],[f136]) ).
thf(f136,plain,
! [X2: list,X1: list] :
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( ( listStar @ Y0 @ X2 @ X1 )
=> ( listStar @ Y0 @ ( rev @ Y0 @ X2 ) @ ( rev @ Y0 @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f135]) ).
thf(f135,plain,
! [X2: list,X1: list] :
( $true
= ( ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ Y0 @ X1 )
=> ( listStar @ Y1 @ ( rev @ Y1 @ Y0 ) @ ( rev @ Y1 @ X1 ) ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f123]) ).
thf(f123,plain,
! [X1: list] :
( $true
= ( !! @ list
@ ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ Y0 @ X1 )
=> ( listStar @ Y1 @ ( rev @ Y1 @ Y0 ) @ ( rev @ Y1 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f122]) ).
thf(f122,plain,
! [X1: list] :
( $true
= ( ^ [Y0: list] :
( !! @ list
@ ^ [Y1: list] :
( !! @ nat
@ ^ [Y2: nat] :
( ( listStar @ Y2 @ Y1 @ Y0 )
=> ( listStar @ Y2 @ ( rev @ Y2 @ Y1 ) @ ( rev @ Y2 @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f64]) ).
thf(f64,plain,
( $true
= ( !! @ list
@ ^ [Y0: list] :
( !! @ list
@ ^ [Y1: list] :
( !! @ nat
@ ^ [Y2: nat] :
( ( listStar @ Y2 @ Y1 @ Y0 )
=> ( listStar @ Y2 @ ( rev @ Y2 @ Y1 ) @ ( rev @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
thf(f22,plain,
( $true
= ( !! @ list
@ ^ [Y0: list] :
( !! @ list
@ ^ [Y1: list] :
( !! @ nat
@ ^ [Y2: nat] :
( ( listStar @ Y2 @ Y1 @ Y0 )
=> ( listStar @ Y2 @ ( rev @ Y2 @ Y1 ) @ ( rev @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f21]) ).
thf(f21,plain,
! [X0: nat,X1: list,X2: list] :
( ( listStar @ X0 @ X1 @ X2 )
=> ( listStar @ X0 @ ( rev @ X0 @ X1 ) @ ( rev @ X0 @ X2 ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,axiom,
! [X6: nat,X7: list,X11: list] :
( ( listStar @ X6 @ X7 @ X11 )
=> ( listStar @ X6 @ ( rev @ X6 @ X7 ) @ ( rev @ X6 @ X11 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',rev_tp_ax) ).
thf(f551,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > X0 > $o,X4: X0] :
( ( $true
= ( X1 @ X4 @ X2 ) )
| ( ( X1 @ X3 @ X2 )
= $false )
| ( ( isPer @ X0 @ X1 )
= $false )
| ( ( X1 @ X4 @ X3 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f550]) ).
thf(f550,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > X0 > $o,X4: X0] :
( ( ( ( X1 @ X3 @ X2 )
=> ( X1 @ X4 @ X2 ) )
= $true )
| ( ( X1 @ X4 @ X3 )
= $false )
| ( ( isPer @ X0 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f549]) ).
thf(f549,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > X0 > $o,X4: X0] :
( ( ( isPer @ X0 @ X1 )
= $false )
| ( ( ( X1 @ X4 @ X3 )
=> ( ( X1 @ X3 @ X2 )
=> ( X1 @ X4 @ X2 ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f548]) ).
thf(f548,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > X0 > $o,X4: X0] :
( ( ( isPer @ X0 @ X1 )
= $false )
| ( ( ^ [Y0: X0] :
( ( X1 @ Y0 @ X3 )
=> ( ( X1 @ X3 @ X2 )
=> ( X1 @ Y0 @ X2 ) ) )
@ X4 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f547]) ).
thf(f547,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > X0 > $o] :
( ( ( !! @ X0
@ ^ [Y0: X0] :
( ( X1 @ Y0 @ X3 )
=> ( ( X1 @ X3 @ X2 )
=> ( X1 @ Y0 @ X2 ) ) ) )
= $true )
| ( ( isPer @ X0 @ X1 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f546]) ).
thf(f546,plain,
! [X0: $tType,X2: X0,X3: X0,X1: X0 > X0 > $o] :
( ( ( isPer @ X0 @ X1 )
= $false )
| ( $true
= ( ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( X1 @ Y1 @ Y0 )
=> ( ( X1 @ Y0 @ X2 )
=> ( X1 @ Y1 @ X2 ) ) ) )
@ X3 ) ) ),
inference(pi_clausification,[status(thm)],[f545]) ).
thf(f545,plain,
! [X0: $tType,X2: X0,X1: X0 > X0 > $o] :
( ( $true
= ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( X1 @ Y1 @ Y0 )
=> ( ( X1 @ Y0 @ X2 )
=> ( X1 @ Y1 @ X2 ) ) ) ) ) )
| ( ( isPer @ X0 @ X1 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f544]) ).
thf(f544,plain,
! [X0: $tType,X2: X0,X1: X0 > X0 > $o] :
( ( ( ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( X1 @ Y2 @ Y1 )
=> ( ( X1 @ Y1 @ Y0 )
=> ( X1 @ Y2 @ Y0 ) ) ) ) )
@ X2 )
= $true )
| ( ( isPer @ X0 @ X1 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f341]) ).
thf(f341,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( X1 @ Y2 @ Y1 )
=> ( ( X1 @ Y1 @ Y0 )
=> ( X1 @ Y2 @ Y0 ) ) ) ) ) )
= $true )
| ( ( isPer @ X0 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f339]) ).
thf(f339,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( X1 @ Y1 @ Y0 )
=> ( X1 @ Y0 @ Y1 ) ) ) )
& ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( X1 @ Y2 @ Y1 )
=> ( ( X1 @ Y1 @ Y0 )
=> ( X1 @ Y2 @ Y0 ) ) ) ) ) ) )
= $true )
| ( ( isPer @ X0 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f337]) ).
thf(f337,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( isPer @ X0 @ X1 )
= ( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( X1 @ Y1 @ Y0 )
=> ( X1 @ Y0 @ Y1 ) ) ) )
& ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( X1 @ Y2 @ Y1 )
=> ( ( X1 @ Y1 @ Y0 )
=> ( X1 @ Y2 @ Y0 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f336]) ).
thf(f336,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ( ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( ( X1 @ Y1 @ Y0 )
=> ( X1 @ Y0 @ Y1 ) ) ) )
& ( !! @ X0
@ ^ [Y0: X0] :
( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( X1 @ Y2 @ Y1 )
=> ( ( X1 @ Y1 @ Y0 )
=> ( X1 @ Y2 @ Y0 ) ) ) ) ) ) )
= ( isPer @ X0 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f335]) ).
thf(f335,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( $true
= ( ^ [Y0: X0 > X0 > $o] :
( ( ( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( !! @ X0
@ ^ [Y3: X0] :
( ( Y0 @ Y3 @ Y2 )
=> ( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) ) )
= ( isPer @ X0 @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f70]) ).
thf(f70,plain,
! [X0: $tType] :
( ( !! @ ( X0 > X0 > $o )
@ ^ [Y0: X0 > X0 > $o] :
( ( ( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( !! @ X0
@ ^ [Y3: X0] :
( ( Y0 @ Y3 @ Y2 )
=> ( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) ) )
= ( isPer @ X0 @ Y0 ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f57]) ).
thf(f57,plain,
! [X0: $tType] :
( ( !! @ ( X0 > X0 > $o )
@ ^ [Y0: X0 > X0 > $o] :
( ( ( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( !! @ X0
@ ^ [Y3: X0] :
( ( Y0 @ Y3 @ Y2 )
=> ( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) ) )
= ( isPer @ X0 @ Y0 ) ) )
= $true ),
inference(closure,[status(thm)],[f26]) ).
thf(f26,plain,
! [X0: $tType] :
( ( !! @ ( X0 > X0 > $o )
@ ^ [Y0: X0 > X0 > $o] :
( ( ( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ X0
@ ^ [Y1: X0] :
( !! @ X0
@ ^ [Y2: X0] :
( !! @ X0
@ ^ [Y3: X0] :
( ( Y0 @ Y3 @ Y2 )
=> ( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y3 @ Y1 ) ) ) ) ) ) )
= ( isPer @ X0 @ Y0 ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f25]) ).
thf(f25,plain,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ! [X2: X0,X3: X0,X4: X0] :
( ( X1 @ X2 @ X3 )
=> ( ( X1 @ X3 @ X4 )
=> ( X1 @ X2 @ X4 ) ) )
& ! [X5: X0,X6: X0] :
( ( X1 @ X5 @ X6 )
=> ( X1 @ X6 @ X5 ) ) )
<=> ( isPer @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0 > X0 > $o] :
( ( ! [X2: X0,X3: X0,X4: X0] :
( ( X1 @ X2 @ X3 )
=> ( ( X1 @ X3 @ X4 )
=> ( X1 @ X2 @ X4 ) ) )
& ! [X2: X0,X3: X0] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) ) )
<=> ( isPer @ X0 @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',is_per) ).
thf(f331,plain,
! [X2: list,X3: list,X0: nat,X1: list,X4: list] :
( ( ( listStar @ X0 @ ( app @ zero @ X0 @ X1 @ X2 ) @ ( app @ zero @ X0 @ X3 @ X4 ) )
= $true )
| ( ( listStar @ zero @ X1 @ X3 )
= $false )
| ( $false
= ( listStar @ X0 @ X2 @ X4 ) ) ),
inference(superposition,[status(thm)],[f330,f92]) ).
thf(f330,plain,
! [X2: list,X3: nat,X1: list,X6: list,X4: nat,X5: list] :
( ( $true
= ( listStar @ ( plus @ X4 @ X3 ) @ ( app @ X4 @ X3 @ X2 @ X6 ) @ ( app @ X4 @ X3 @ X1 @ X5 ) ) )
| ( ( listStar @ X3 @ X6 @ X5 )
= $false )
| ( ( listStar @ X4 @ X2 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f329]) ).
thf(f329,plain,
! [X2: list,X3: nat,X1: list,X6: list,X4: nat,X5: list] :
( ( ( ( listStar @ X3 @ X6 @ X5 )
=> ( listStar @ ( plus @ X4 @ X3 ) @ ( app @ X4 @ X3 @ X2 @ X6 ) @ ( app @ X4 @ X3 @ X1 @ X5 ) ) )
= $true )
| ( ( listStar @ X4 @ X2 @ X1 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f328]) ).
thf(f328,plain,
! [X2: list,X3: nat,X1: list,X6: list,X4: nat,X5: list] :
( ( ( ^ [Y0: list] :
( ( listStar @ X3 @ Y0 @ X5 )
=> ( listStar @ ( plus @ X4 @ X3 ) @ ( app @ X4 @ X3 @ X2 @ Y0 ) @ ( app @ X4 @ X3 @ X1 @ X5 ) ) )
@ X6 )
= $true )
| ( ( listStar @ X4 @ X2 @ X1 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f327]) ).
thf(f327,plain,
! [X2: list,X3: nat,X1: list,X4: nat,X5: list] :
( ( ( !! @ list
@ ^ [Y0: list] :
( ( listStar @ X3 @ Y0 @ X5 )
=> ( listStar @ ( plus @ X4 @ X3 ) @ ( app @ X4 @ X3 @ X2 @ Y0 ) @ ( app @ X4 @ X3 @ X1 @ X5 ) ) ) )
= $true )
| ( ( listStar @ X4 @ X2 @ X1 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f326]) ).
thf(f326,plain,
! [X2: list,X3: nat,X1: list,X4: nat,X5: list] :
( ( $true
= ( ^ [Y0: list] :
( !! @ list
@ ^ [Y1: list] :
( ( listStar @ X3 @ Y1 @ Y0 )
=> ( listStar @ ( plus @ X4 @ X3 ) @ ( app @ X4 @ X3 @ X2 @ Y1 ) @ ( app @ X4 @ X3 @ X1 @ Y0 ) ) ) )
@ X5 ) )
| ( ( listStar @ X4 @ X2 @ X1 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f325]) ).
thf(f325,plain,
! [X2: list,X3: nat,X1: list,X4: nat] :
( ( ( !! @ list
@ ^ [Y0: list] :
( !! @ list
@ ^ [Y1: list] :
( ( listStar @ X3 @ Y1 @ Y0 )
=> ( listStar @ ( plus @ X4 @ X3 ) @ ( app @ X4 @ X3 @ X2 @ Y1 ) @ ( app @ X4 @ X3 @ X1 @ Y0 ) ) ) ) )
= $true )
| ( ( listStar @ X4 @ X2 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f324]) ).
thf(f324,plain,
! [X2: list,X3: nat,X1: list,X4: nat] :
( $true
= ( ( listStar @ X4 @ X2 @ X1 )
=> ( !! @ list
@ ^ [Y0: list] :
( !! @ list
@ ^ [Y1: list] :
( ( listStar @ X3 @ Y1 @ Y0 )
=> ( listStar @ ( plus @ X4 @ X3 ) @ ( app @ X4 @ X3 @ X2 @ Y1 ) @ ( app @ X4 @ X3 @ X1 @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f323]) ).
thf(f323,plain,
! [X2: list,X3: nat,X1: list,X4: nat] :
( $true
= ( ^ [Y0: nat] :
( ( listStar @ Y0 @ X2 @ X1 )
=> ( !! @ list
@ ^ [Y1: list] :
( !! @ list
@ ^ [Y2: list] :
( ( listStar @ X3 @ Y2 @ Y1 )
=> ( listStar @ ( plus @ Y0 @ X3 ) @ ( app @ Y0 @ X3 @ X2 @ Y2 ) @ ( app @ Y0 @ X3 @ X1 @ Y1 ) ) ) ) ) )
@ X4 ) ),
inference(pi_clausification,[status(thm)],[f322]) ).
thf(f322,plain,
! [X2: list,X3: nat,X1: list] :
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( ( listStar @ Y0 @ X2 @ X1 )
=> ( !! @ list
@ ^ [Y1: list] :
( !! @ list
@ ^ [Y2: list] :
( ( listStar @ X3 @ Y2 @ Y1 )
=> ( listStar @ ( plus @ Y0 @ X3 ) @ ( app @ Y0 @ X3 @ X2 @ Y2 ) @ ( app @ Y0 @ X3 @ X1 @ Y1 ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f321]) ).
thf(f321,plain,
! [X2: list,X3: nat,X1: list] :
( $true
= ( ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ X2 @ X1 )
=> ( !! @ list
@ ^ [Y2: list] :
( !! @ list
@ ^ [Y3: list] :
( ( listStar @ Y0 @ Y3 @ Y2 )
=> ( listStar @ ( plus @ Y1 @ Y0 ) @ ( app @ Y1 @ Y0 @ X2 @ Y3 ) @ ( app @ Y1 @ Y0 @ X1 @ Y2 ) ) ) ) ) ) )
@ X3 ) ),
inference(pi_clausification,[status(thm)],[f320]) ).
thf(f320,plain,
! [X2: list,X1: list] :
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( listStar @ Y1 @ X2 @ X1 )
=> ( !! @ list
@ ^ [Y2: list] :
( !! @ list
@ ^ [Y3: list] :
( ( listStar @ Y0 @ Y3 @ Y2 )
=> ( listStar @ ( plus @ Y1 @ Y0 ) @ ( app @ Y1 @ Y0 @ X2 @ Y3 ) @ ( app @ Y1 @ Y0 @ X1 @ Y2 ) ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f319]) ).
thf(f319,plain,
! [X2: list,X1: list] :
( $true
= ( ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( !! @ nat
@ ^ [Y2: nat] :
( ( listStar @ Y2 @ Y0 @ X1 )
=> ( !! @ list
@ ^ [Y3: list] :
( !! @ list
@ ^ [Y4: list] :
( ( listStar @ Y1 @ Y4 @ Y3 )
=> ( listStar @ ( plus @ Y2 @ Y1 ) @ ( app @ Y2 @ Y1 @ Y0 @ Y4 ) @ ( app @ Y2 @ Y1 @ X1 @ Y3 ) ) ) ) ) ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f318]) ).
thf(f318,plain,
! [X1: list] :
( ( !! @ list
@ ^ [Y0: list] :
( !! @ nat
@ ^ [Y1: nat] :
( !! @ nat
@ ^ [Y2: nat] :
( ( listStar @ Y2 @ Y0 @ X1 )
=> ( !! @ list
@ ^ [Y3: list] :
( !! @ list
@ ^ [Y4: list] :
( ( listStar @ Y1 @ Y4 @ Y3 )
=> ( listStar @ ( plus @ Y2 @ Y1 ) @ ( app @ Y2 @ Y1 @ Y0 @ Y4 ) @ ( app @ Y2 @ Y1 @ X1 @ Y3 ) ) ) ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f317]) ).
thf(f317,plain,
! [X1: list] :
( $true
= ( ^ [Y0: list] :
( !! @ list
@ ^ [Y1: list] :
( !! @ nat
@ ^ [Y2: nat] :
( !! @ nat
@ ^ [Y3: nat] :
( ( listStar @ Y3 @ Y1 @ Y0 )
=> ( !! @ list
@ ^ [Y4: list] :
( !! @ list
@ ^ [Y5: list] :
( ( listStar @ Y2 @ Y5 @ Y4 )
=> ( listStar @ ( plus @ Y3 @ Y2 ) @ ( app @ Y3 @ Y2 @ Y1 @ Y5 ) @ ( app @ Y3 @ Y2 @ Y0 @ Y4 ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f72]) ).
thf(f72,plain,
( ( !! @ list
@ ^ [Y0: list] :
( !! @ list
@ ^ [Y1: list] :
( !! @ nat
@ ^ [Y2: nat] :
( !! @ nat
@ ^ [Y3: nat] :
( ( listStar @ Y3 @ Y1 @ Y0 )
=> ( !! @ list
@ ^ [Y4: list] :
( !! @ list
@ ^ [Y5: list] :
( ( listStar @ Y2 @ Y5 @ Y4 )
=> ( listStar @ ( plus @ Y3 @ Y2 ) @ ( app @ Y3 @ Y2 @ Y1 @ Y5 ) @ ( app @ Y3 @ Y2 @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f52]) ).
thf(f52,plain,
( ( !! @ list
@ ^ [Y0: list] :
( !! @ list
@ ^ [Y1: list] :
( !! @ nat
@ ^ [Y2: nat] :
( !! @ nat
@ ^ [Y3: nat] :
( ( listStar @ Y3 @ Y1 @ Y0 )
=> ( !! @ list
@ ^ [Y4: list] :
( !! @ list
@ ^ [Y5: list] :
( ( listStar @ Y2 @ Y5 @ Y4 )
=> ( listStar @ ( plus @ Y3 @ Y2 ) @ ( app @ Y3 @ Y2 @ Y1 @ Y5 ) @ ( app @ Y3 @ Y2 @ Y0 @ Y4 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f51]) ).
thf(f51,plain,
! [X0: nat,X1: nat,X2: list,X3: list] :
( ( listStar @ X0 @ X2 @ X3 )
=> ! [X4: list,X5: list] :
( ( listStar @ X1 @ X4 @ X5 )
=> ( listStar @ ( plus @ X0 @ X1 ) @ ( app @ X0 @ X1 @ X2 @ X4 ) @ ( app @ X0 @ X1 @ X3 @ X5 ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,axiom,
! [X6: nat,X10: nat,X7: list,X11: list] :
( ( listStar @ X6 @ X7 @ X11 )
=> ! [X8: list,X9: list] :
( ( listStar @ X10 @ X8 @ X9 )
=> ( listStar @ ( plus @ X6 @ X10 ) @ ( app @ X6 @ X10 @ X7 @ X8 ) @ ( app @ X6 @ X10 @ X11 @ X9 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',app_tp_ax) ).
thf(f62,plain,
( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
= $true ),
inference(cnf_transformation,[status(thm)],[f50]) ).
thf(f50,plain,
( ( listStar @ zero @ ( rev @ zero @ nil ) @ nil )
= $true ),
inference(fool_elimination,[status(thm)],[f49]) ).
thf(f49,plain,
listStar @ zero @ ( rev @ zero @ nil ) @ nil,
inference(rectify,[status(thm)],[f15]) ).
thf(f15,axiom,
listStar @ zero @ ( rev @ zero @ nil ) @ nil,
file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',ax5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : DAT385^1 : TPTP v9.2.1. Released v9.2.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/0.32 % Computer : n025.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue Feb 24 06:18:12 EST 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.32 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.30/0.47 ---- Original DTF file ---
% 0.30/0.47 thf(spec,logic,$$dhol).
% 0.30/0.47 %------------------------------------------------------------------------------
% 0.30/0.47 % File : DAT385^1 : TPTP v9.2.1. Released v9.2.0.
% 0.30/0.47 % Domain : Data Structures
% 0.30/0.47 % Problem : List involution lemma, base step 1
% 0.30/0.47 % Version : Especial.
% 0.30/0.47 % English : List involution lemma. The proof is by induction with a separate
% 0.30/0.47 % problem file for the base and step case (with multiple subcases)
% 0.30/0.47 % as well as the correct instantiation of the induction axiom for
% 0.30/0.47 % lists. The main file uses the conjectures of the other files as
% 0.30/0.47 % lemmas in order to prove the final result. To simplify proof
% 0.30/0.47 % search, the axioms in each problem file have been preselected.
% 0.30/0.47 % For the actual induction proof, it is sufficient to consider the
% 0.30/0.47 % "step" problem files.
% 0.30/0.47
% 0.30/0.47 % Refs : [RRB23] Rothgang et al. (2023), Theorem Proving in Dependently
% 0.30/0.47 % : [Rot25] Rothgang (2025), Email to Geoff Sutcliffe
% 0.30/0.47 % : [RK+25] Ranalter et al. (2025), The Dependently Typed Higher-O
% 0.30/0.47 % Source : [Rot25]
% 0.30/0.47 % Names : ListReversalInvolutionLemma/list-rev-invol-lem-base-step1.p [Rot25]
% 0.30/0.47
% 0.30/0.47 % Status : Theorem
% 0.30/0.47 % Rating : ? v9.2.0
% 0.30/0.47 % Syntax : Number of formulae : 20 ( 8 unt; 10 typ; 0 def)
% 0.30/0.47 % Number of atoms : 10 ( 10 equ; 0 cnn)
% 0.30/0.47 % Maximal formula atoms : 2 ( 1 avg)
% 0.30/0.47 % Number of connectives : 60 ( 3 ~; 0 |; 0 &; 53 @)
% 0.30/0.47 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.30/0.47 % Maximal formula depth : 8 ( 3 avg)
% 0.30/0.47 % Number of types : 3 ( 2 usr)
% 0.30/0.47 % Number of type decls : 10 ( 0 !>P; 3 !>D)
% 0.30/0.47 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 0.30/0.47 % Number of symbols : 9 ( 8 usr; 2 con; 0-4 aty)
% 0.30/0.47 % Number of variables : 19 ( 0 ^; 15 !; 0 ?; 19 :)
% 0.30/0.47 % ( 4 !>; 0 ?*; 0 @-; 0 @+)
% 0.30/0.47 % SPC : DH0_THM_EQU_NAR
% 0.30/0.47
% 0.30/0.47 % Comments :
% 0.30/0.47 %------------------------------------------------------------------------------
% 0.30/0.47 thf(elem_type,type,
% 0.30/0.47 elem: $tType ).
% 0.30/0.47
% 0.30/0.47 thf(nat_type,type,
% 0.30/0.47 nat: $tType ).
% 0.30/0.47
% 0.30/0.47 thf(zero_type,type,
% 0.30/0.47 zero: nat ).
% 0.30/0.47
% 0.30/0.47 thf(suc_type,type,
% 0.30/0.47 suc: nat > nat ).
% 0.30/0.47
% 0.30/0.47 thf(plus_type,type,
% 0.30/0.47 plus: nat > nat > nat ).
% 0.30/0.47
% 0.30/0.47 thf(list_type,type,
% 0.30/0.47 list: nat > $tType ).
% 0.30/0.47
% 0.30/0.47 thf(nil_type,type,
% 0.30/0.47 nil: list @ zero ).
% 0.30/0.47
% 0.30/0.47 thf(cons_type,type,
% 0.30/0.47 cons:
% 0.30/0.47 !>[N: nat] : ( elem > ( list @ N ) > ( list @ ( suc @ N ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(app_type,type,
% 0.30/0.47 app:
% 0.30/0.47 !>[N: nat,M: nat] : ( ( list @ N ) > ( list @ M ) > ( list @ ( plus @ N @ M ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(rev_type,type,
% 0.30/0.47 rev:
% 0.30/0.47 !>[N: nat] : ( ( list @ N ) > ( list @ N ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(peano1,axiom,
% 0.30/0.47 ! [N: nat] :
% 0.30/0.47 ( ( suc @ N )
% 0.30/0.47 != zero ) ).
% 0.30/0.47
% 0.30/0.47 thf(peano2,axiom,
% 0.30/0.47 ! [N: nat,M: nat] :
% 0.30/0.47 ( ( N != M )
% 0.30/0.47 => ( ( suc @ N )
% 0.30/0.47 != ( suc @ M ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(peano3,axiom,
% 0.30/0.47 ! [P: nat > $o] :
% 0.30/0.47 ( ( P @ zero )
% 0.30/0.47 => ( ! [M: nat] :
% 0.30/0.47 ( ( P @ M )
% 0.30/0.47 => ( P @ ( suc @ M ) ) )
% 0.30/0.47 => ! [N: nat] : ( P @ N ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(ax1,axiom,
% 0.30/0.47 ! [N: nat] :
% 0.30/0.47 ( ( plus @ zero @ N )
% 0.30/0.47 = N ) ).
% 0.30/0.47
% 0.30/0.47 thf(ax2,axiom,
% 0.30/0.47 ! [N: nat,M: nat] :
% 0.30/0.47 ( ( plus @ ( suc @ N ) @ M )
% 0.30/0.47 = ( suc @ ( plus @ N @ M ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(ax3,axiom,
% 0.30/0.47 ! [N: nat,X: list @ N] :
% 0.30/0.47 ( ( app @ zero @ N @ nil @ X )
% 0.30/0.47 = X ) ).
% 0.30/0.47
% 0.30/0.47 thf(ax5,axiom,
% 0.30/0.47 ( ( rev @ zero @ nil )
% 0.30/0.47 = nil ) ).
% 0.30/0.47
% 0.30/0.47 thf(plus_zero_r,axiom,
% 0.30/0.47 ! [M: nat] :
% 0.30/0.47 ( ( plus @ M @ zero )
% 0.30/0.47 = M ) ).
% 0.30/0.47
% 0.30/0.47 thf(plus1r,axiom,
% 0.30/0.47 ! [N: nat] :
% 0.30/0.47 ( ( suc @ N )
% 0.30/0.47 = ( plus @ N @ ( suc @ zero ) ) ) ).
% 0.30/0.47
% 0.30/0.47 thf(list_rev_invol_lem_base_step1,conjecture,
% 0.30/0.47 ! [M2: nat,L2: list @ M2] :
% 0.30/0.47 ( ( rev @ ( plus @ zero @ M2 ) @ ( app @ zero @ M2 @ ( rev @ zero @ nil ) @ L2 ) )
% 0.30/0.47 = ( rev @ M2 @ L2 ) ) ).
% 0.30/0.47
% 0.30/0.47 %------------------------------------------------------------------------------
% 0.30/0.47 ------------------------
% 1.76/1.33 ---- Embedded in THF ---
% 1.76/1.33 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.76/1.33 %%% Generated on Tue Feb 24 06:18:13 EST 2026
% 1.76/1.33 %%% using '$$dhol' embedding, version 1.3.0.
% 1.76/1.33 %%% Logic specification used:
% 1.76/1.33 %%% thf(spec, logic, $$dhol).
% 1.76/1.33
% 1.76/1.33 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2DTF8723.p
% See solution above
% 1.76/1.33 ------------------------
% 1.76/1.35 ---- Cleaned THF ---
% 1.76/1.35 thf(is_per_type,type,
% 1.76/1.35 isPer:
% 1.76/1.35 !>[A: $tType] : ( ( A > A > $o ) > $o ) ).
% 1.76/1.35
% 1.76/1.35 thf(is_per,definition,
% 1.76/1.35 ! [A: $tType,AStar: A > A > $o] :
% 1.76/1.35 ( ( isPer @ A @ AStar )
% 1.76/1.35 <=> ( ! [X: A,Y: A] :
% 1.76/1.35 ( ( AStar @ X @ Y )
% 1.76/1.35 => ( AStar @ Y @ X ) )
% 1.76/1.35 & ! [X: A,Y: A,Z: A] :
% 1.76/1.35 ( ( AStar @ X @ Y )
% 1.76/1.35 => ( ( AStar @ Y @ Z )
% 1.76/1.35 => ( AStar @ X @ Z ) ) ) ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(elem_type,type,
% 1.76/1.35 elem: $tType ).
% 1.76/1.35
% 1.76/1.35 thf(elemStar,type,
% 1.76/1.35 elemStar: elem > elem > $o ).
% 1.76/1.35
% 1.76/1.35 thf(elemStar_is_eq,axiom,
% 1.76/1.35 ! [X: elem,Y: elem] :
% 1.76/1.35 ( ( elemStar @ X @ Y )
% 1.76/1.35 <=> ( X = Y ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(nat_type,type,
% 1.76/1.35 nat: $tType ).
% 1.76/1.35
% 1.76/1.35 thf(natStar,type,
% 1.76/1.35 natStar: nat > nat > $o ).
% 1.76/1.35
% 1.76/1.35 thf(natStar_is_eq,axiom,
% 1.76/1.35 ! [X: nat,Y: nat] :
% 1.76/1.35 ( ( natStar @ X @ Y )
% 1.76/1.35 <=> ( X = Y ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(zero_type,type,
% 1.76/1.35 zero: nat ).
% 1.76/1.35
% 1.76/1.35 thf(suc_type,type,
% 1.76/1.35 suc: nat > nat ).
% 1.76/1.35
% 1.76/1.35 thf(plus_type,type,
% 1.76/1.35 plus: nat > nat > nat ).
% 1.76/1.35
% 1.76/1.35 thf(list_type,type,
% 1.76/1.35 list: $tType ).
% 1.76/1.35
% 1.76/1.35 thf(listStar,type,
% 1.76/1.35 listStar: nat > list > list > $o ).
% 1.76/1.35
% 1.76/1.35 thf('\'listStar\'_is_per',axiom,
% 1.76/1.35 ! [C: nat] : ( isPer @ list @ ( listStar @ C ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(nil_type,type,
% 1.76/1.35 nil: list ).
% 1.76/1.35
% 1.76/1.35 thf(nil_tp_ax,axiom,
% 1.76/1.35 listStar @ zero @ nil @ nil ).
% 1.76/1.35
% 1.76/1.35 thf(cons_type,type,
% 1.76/1.35 cons: nat > elem > list > list ).
% 1.76/1.35
% 1.76/1.35 thf(cons_tp_ax,axiom,
% 1.76/1.35 ! [N: nat,D: elem,D0: list,D0_prime: list] :
% 1.76/1.35 ( ( listStar @ N @ D0 @ D0_prime )
% 1.76/1.35 => ( listStar @ ( suc @ N ) @ ( cons @ N @ D @ D0 ) @ ( cons @ N @ D @ D0_prime ) ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(app_type,type,
% 1.76/1.35 app: nat > nat > list > list > list ).
% 1.76/1.35
% 1.76/1.35 thf(app_tp_ax,axiom,
% 1.76/1.35 ! [N: nat,M: nat,D: list,D_prime: list] :
% 1.76/1.35 ( ( listStar @ N @ D @ D_prime )
% 1.76/1.35 => ! [D0: list,D0_prime: list] :
% 1.76/1.35 ( ( listStar @ M @ D0 @ D0_prime )
% 1.76/1.35 => ( listStar @ ( plus @ N @ M ) @ ( app @ N @ M @ D @ D0 ) @ ( app @ N @ M @ D_prime @ D0_prime ) ) ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(rev_type,type,
% 1.76/1.35 rev: nat > list > list ).
% 1.76/1.35
% 1.76/1.35 thf(rev_tp_ax,axiom,
% 1.76/1.35 ! [N: nat,D: list,D_prime: list] :
% 1.76/1.35 ( ( listStar @ N @ D @ D_prime )
% 1.76/1.35 => ( listStar @ N @ ( rev @ N @ D ) @ ( rev @ N @ D_prime ) ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(peano1,axiom,
% 1.76/1.35 ! [N: nat] :
% 1.76/1.35 ( ( suc @ N )
% 1.76/1.35 != zero ) ).
% 1.76/1.35
% 1.76/1.35 thf(peano2,axiom,
% 1.76/1.35 ! [N: nat,M: nat] :
% 1.76/1.35 ( ( N != M )
% 1.76/1.35 => ( ( suc @ N )
% 1.76/1.35 != ( suc @ M ) ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(peano3,axiom,
% 1.76/1.35 ! [P: nat > $o] :
% 1.76/1.35 ( ( P @ zero )
% 1.76/1.35 => ( ! [M: nat] :
% 1.76/1.35 ( ( P @ M )
% 1.76/1.35 => ( P @ ( suc @ M ) ) )
% 1.76/1.35 => ! [N: nat] : ( P @ N ) ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(ax1,axiom,
% 1.76/1.35 ! [N: nat] :
% 1.76/1.35 ( ( plus @ zero @ N )
% 1.76/1.35 = N ) ).
% 1.76/1.35
% 1.76/1.35 thf(ax2,axiom,
% 1.76/1.35 ! [N: nat,M: nat] :
% 1.76/1.35 ( ( plus @ ( suc @ N ) @ M )
% 1.76/1.35 = ( suc @ ( plus @ N @ M ) ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(ax3,axiom,
% 1.76/1.35 ! [N: nat,X: list] :
% 1.76/1.35 ( ( listStar @ N @ X @ X )
% 1.76/1.35 => ( listStar @ ( plus @ zero @ N ) @ ( app @ zero @ N @ nil @ X ) @ X ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(ax5,axiom,
% 1.76/1.35 listStar @ zero @ ( rev @ zero @ nil ) @ nil ).
% 1.76/1.35
% 1.76/1.35 thf(plus_zero_r,axiom,
% 1.76/1.35 ! [M: nat] :
% 1.76/1.35 ( ( plus @ M @ zero )
% 1.76/1.35 = M ) ).
% 1.76/1.35
% 1.76/1.35 thf(plus1r,axiom,
% 1.76/1.35 ! [N: nat] :
% 1.76/1.35 ( ( suc @ N )
% 1.76/1.35 = ( plus @ N @ ( suc @ zero ) ) ) ).
% 1.76/1.35
% 1.76/1.35 thf(list_rev_invol_lem_base_step1,conjecture,
% 1.76/1.35 ! [M2: nat,L2: list] :
% 1.76/1.35 ( ( listStar @ M2 @ L2 @ L2 )
% 1.76/1.35 => ( listStar @ ( plus @ zero @ M2 ) @ ( rev @ ( plus @ zero @ M2 ) @ ( app @ zero @ M2 @ ( rev @ zero @ nil ) @ L2 ) ) @ ( rev @ M2 @ L2 ) ) ) ).
% 1.76/1.35 ------------------------
% 1.76/1.37 % (9060)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/183Mi)
% 1.76/1.37 % (9061)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/4Mi)
% 1.76/1.37 % (9062)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/27Mi)
% 1.76/1.37 % (9063)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/2Mi)
% 1.76/1.37 % (9064)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/2Mi)
% 1.76/1.37 % (9065)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/275Mi)
% 1.76/1.37 % (9066)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/18Mi)
% 1.76/1.37 % (9063)Instruction limit reached!
% 1.76/1.37 % (9063)------------------------------
% 1.76/1.37 % (9063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.37 % (9063)Termination reason: Unknown
% 1.76/1.37 % (9063)Termination phase: Preprocessing 2
% 1.76/1.37
% 1.76/1.37 % (9063)Memory used [KB]: 1023
% 1.76/1.37 % (9063)Time elapsed: 0.004 s
% 1.76/1.37 % (9063)Instructions burned: 3 (million)
% 1.76/1.37 % (9063)------------------------------
% 1.76/1.37 % (9063)------------------------------
% 1.76/1.37 % (9064)Instruction limit reached!
% 1.76/1.37 % (9064)------------------------------
% 1.76/1.37 % (9064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.37 % (9064)Termination reason: Unknown
% 1.76/1.37 % (9064)Termination phase: shuffling
% 1.76/1.37
% 1.76/1.37 % (9064)Memory used [KB]: 1023
% 1.76/1.37 % (9064)Time elapsed: 0.004 s
% 1.76/1.37 % (9064)Instructions burned: 3 (million)
% 1.76/1.37 % (9064)------------------------------
% 1.76/1.37 % (9064)------------------------------
% 1.76/1.37 % (9061)Instruction limit reached!
% 1.76/1.37 % (9061)------------------------------
% 1.76/1.37 % (9061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.37 % (9061)Termination reason: Unknown
% 1.76/1.37 % (9061)Termination phase: Preprocessing 3
% 1.76/1.37
% 1.76/1.37 % (9061)Memory used [KB]: 1023
% 1.76/1.37 % (9061)Time elapsed: 0.005 s
% 1.76/1.37 % (9061)Instructions burned: 5 (million)
% 1.76/1.37 % (9061)------------------------------
% 1.76/1.37 % (9061)------------------------------
% 1.76/1.38 % (9065)Refutation not found, incomplete strategy
% 1.76/1.38 % (9065)------------------------------
% 1.76/1.38 % (9065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.38 % (9065)Termination reason: Refutation not found, incomplete strategy
% 1.76/1.38
% 1.76/1.38
% 1.76/1.38 % (9065)Memory used [KB]: 5500
% 1.76/1.38 % (9065)Time elapsed: 0.006 s
% 1.76/1.38 % (9065)Instructions burned: 5 (million)
% 1.76/1.38 % (9065)------------------------------
% 1.76/1.38 % (9065)------------------------------
% 1.76/1.38 % (9066)Instruction limit reached!
% 1.76/1.38 % (9066)------------------------------
% 1.76/1.38 % (9066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.38 % (9066)Termination reason: Unknown
% 1.76/1.38 % (9066)Termination phase: Saturation
% 1.76/1.38
% 1.76/1.38 % (9066)Memory used [KB]: 5628
% 1.76/1.38 % (9066)Time elapsed: 0.014 s
% 1.76/1.38 % (9066)Instructions burned: 19 (million)
% 1.76/1.38 % (9066)------------------------------
% 1.76/1.38 % (9066)------------------------------
% 1.76/1.39 % (9062)Instruction limit reached!
% 1.76/1.39 % (9062)------------------------------
% 1.76/1.39 % (9062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.39 % (9062)Termination reason: Unknown
% 1.76/1.39 % (9062)Termination phase: Saturation
% 1.76/1.39
% 1.76/1.39 % (9062)Memory used [KB]: 5756
% 1.76/1.39 % (9062)Time elapsed: 0.020 s
% 1.76/1.39 % (9062)Instructions burned: 27 (million)
% 1.76/1.39 % (9062)------------------------------
% 1.76/1.39 % (9062)------------------------------
% 1.76/1.39 % (9067)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/3Mi)
% 1.76/1.39 % (9068)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/37Mi)
% 1.76/1.39 % (9069)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/15Mi)
% 1.76/1.39 % (9070)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/3Mi)
% 1.76/1.39 % (9067)Instruction limit reached!
% 1.76/1.39 % (9067)------------------------------
% 1.76/1.39 % (9067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.39 % (9067)Termination reason: Unknown
% 1.76/1.39 % (9067)Termination phase: Preprocessing 3
% 1.76/1.39
% 1.76/1.39 % (9067)Memory used [KB]: 1023
% 1.76/1.39 % (9067)Time elapsed: 0.004 s
% 1.76/1.39 % (9067)Instructions burned: 3 (million)
% 1.76/1.39 % (9067)------------------------------
% 1.76/1.39 % (9067)------------------------------
% 1.76/1.39 % (9070)Instruction limit reached!
% 1.76/1.39 % (9070)------------------------------
% 1.76/1.39 % (9070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.39 % (9070)Termination reason: Unknown
% 1.76/1.39 % (9070)Termination phase: Preprocessing 3
% 1.76/1.39
% 1.76/1.39 % (9070)Memory used [KB]: 1023
% 1.76/1.39 % (9070)Time elapsed: 0.003 s
% 1.76/1.39 % (9070)Instructions burned: 4 (million)
% 1.76/1.39 % (9070)------------------------------
% 1.76/1.39 % (9070)------------------------------
% 1.84/1.40 % (9069)Instruction limit reached!
% 1.84/1.40 % (9069)------------------------------
% 1.84/1.40 % (9069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.40 % (9069)Termination reason: Unknown
% 1.84/1.40 % (9069)Termination phase: Saturation
% 1.84/1.40
% 1.84/1.40 % (9069)Memory used [KB]: 5756
% 1.84/1.40 % (9069)Time elapsed: 0.010 s
% 1.84/1.40 % (9069)Instructions burned: 16 (million)
% 1.84/1.40 % (9069)------------------------------
% 1.84/1.40 % (9069)------------------------------
% 1.84/1.40 % (9071)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/1041Mi)
% 1.84/1.40 % (9074)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/3Mi)
% 1.84/1.41 % (9074)Instruction limit reached!
% 1.84/1.41 % (9074)------------------------------
% 1.84/1.41 % (9074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.41 % (9074)Termination reason: Unknown
% 1.84/1.41 % (9074)Termination phase: Property scanning
% 1.84/1.41
% 1.84/1.41 % (9074)Memory used [KB]: 1023
% 1.84/1.41 % (9074)Time elapsed: 0.003 s
% 1.84/1.41 % (9074)Instructions burned: 5 (million)
% 1.84/1.41 % (9074)------------------------------
% 1.84/1.41 % (9074)------------------------------
% 1.84/1.41 % (9072)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/7Mi)
% 1.84/1.41 % (9072)Instruction limit reached!
% 1.84/1.41 % (9072)------------------------------
% 1.84/1.41 % (9072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.41 % (9072)Termination reason: Unknown
% 1.84/1.41 % (9072)Termination phase: Saturation
% 1.84/1.41
% 1.84/1.41 % (9072)Memory used [KB]: 1023
% 1.84/1.41 % (9072)Time elapsed: 0.006 s
% 1.84/1.41 % (9072)Instructions burned: 7 (million)
% 1.84/1.41 % (9072)------------------------------
% 1.84/1.41 % (9072)------------------------------
% 1.84/1.41 % (9073)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/16Mi)
% 1.84/1.41 % (9075)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/3Mi)
% 1.84/1.41 % (9075)Instruction limit reached!
% 1.84/1.41 % (9075)------------------------------
% 1.84/1.41 % (9075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.41 % (9075)Termination reason: Unknown
% 1.84/1.41 % (9075)Termination phase: shuffling
% 1.84/1.41
% 1.84/1.41 % (9075)Memory used [KB]: 1023
% 1.84/1.41 % (9075)Time elapsed: 0.002 s
% 1.84/1.41 % (9075)Instructions burned: 3 (million)
% 1.84/1.41 % (9075)------------------------------
% 1.84/1.41 % (9075)------------------------------
% 1.84/1.41 % (9068)Instruction limit reached!
% 1.84/1.41 % (9068)------------------------------
% 1.84/1.41 % (9068)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.41 % (9068)Termination reason: Unknown
% 1.84/1.41 % (9068)Termination phase: Saturation
% 1.84/1.41
% 1.84/1.41 % (9068)Memory used [KB]: 5884
% 1.84/1.41 % (9068)Time elapsed: 0.025 s
% 1.84/1.41 % (9068)Instructions burned: 38 (million)
% 1.84/1.41 % (9068)------------------------------
% 1.84/1.41 % (9068)------------------------------
% 1.84/1.42 % (9076)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/7Mi)
% 1.84/1.42 % (9076)Instruction limit reached!
% 1.84/1.42 % (9076)------------------------------
% 1.84/1.42 % (9076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.42 % (9076)Termination reason: Unknown
% 1.84/1.42 % (9076)Termination phase: Saturation
% 1.84/1.42
% 1.84/1.42 % (9076)Memory used [KB]: 5500
% 1.84/1.42 % (9076)Time elapsed: 0.003 s
% 1.84/1.42 % (9076)Instructions burned: 7 (million)
% 1.84/1.42 % (9076)------------------------------
% 1.84/1.42 % (9076)------------------------------
% 1.84/1.42 % (9073)Instruction limit reached!
% 1.84/1.42 % (9073)------------------------------
% 1.84/1.42 % (9073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.42 % (9073)Termination reason: Unknown
% 1.84/1.42 % (9073)Termination phase: Saturation
% 1.84/1.42
% 1.84/1.42 % (9073)Memory used [KB]: 5628
% 1.84/1.42 % (9073)Time elapsed: 0.012 s
% 1.84/1.42 % (9073)Instructions burned: 16 (million)
% 1.84/1.42 % (9073)------------------------------
% 1.84/1.42 % (9073)------------------------------
% 1.84/1.42 % (9078)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/4Mi)
% 1.84/1.42 % (9078)Instruction limit reached!
% 1.84/1.42 % (9078)------------------------------
% 1.84/1.42 % (9078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.42 % (9078)Termination reason: Unknown
% 1.84/1.42 % (9078)Termination phase: Preprocessing 3
% 1.84/1.42
% 1.84/1.42 % (9078)Memory used [KB]: 1023
% 1.84/1.42 % (9078)Time elapsed: 0.003 s
% 1.84/1.42 % (9078)Instructions burned: 4 (million)
% 1.84/1.42 % (9078)------------------------------
% 1.84/1.42 % (9078)------------------------------
% 1.84/1.43 % (9077)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/3Mi)
% 1.84/1.43 % (9080)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/710Mi)
% 1.84/1.43 % (9077)Instruction limit reached!
% 1.84/1.43 % (9077)------------------------------
% 1.84/1.43 % (9077)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.43 % (9077)Termination reason: Unknown
% 1.84/1.43 % (9077)Termination phase: Property scanning
% 1.84/1.43
% 1.84/1.43 % (9077)Memory used [KB]: 1023
% 1.84/1.43 % (9077)Time elapsed: 0.004 s
% 1.84/1.43 % (9077)Instructions burned: 4 (million)
% 1.84/1.43 % (9077)------------------------------
% 1.84/1.43 % (9077)------------------------------
% 1.84/1.43 % (9079)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/18Mi)
% 1.84/1.43 % (9082)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/902Mi)
% 1.84/1.44 % (9081)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/6Mi)
% 1.84/1.44 % (9081)Instruction limit reached!
% 1.84/1.44 % (9081)------------------------------
% 1.84/1.44 % (9081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.44 % (9081)Termination reason: Unknown
% 1.84/1.44 % (9081)Termination phase: Saturation
% 1.84/1.44
% 1.84/1.44 % (9081)Memory used [KB]: 5500
% 1.84/1.44 % (9081)Time elapsed: 0.005 s
% 1.84/1.44 % (9081)Instructions burned: 7 (million)
% 1.84/1.44 % (9081)------------------------------
% 1.84/1.44 % (9081)------------------------------
% 1.84/1.44 % (9079)Instruction limit reached!
% 1.84/1.44 % (9079)------------------------------
% 1.84/1.44 % (9079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.44 % (9079)Termination reason: Unknown
% 1.84/1.44 % (9079)Termination phase: Saturation
% 1.84/1.44
% 1.84/1.44 % (9079)Memory used [KB]: 5628
% 1.84/1.44 % (9079)Time elapsed: 0.011 s
% 1.84/1.44 % (9079)Instructions burned: 19 (million)
% 1.84/1.44 % (9079)------------------------------
% 1.84/1.44 % (9079)------------------------------
% 1.84/1.44 % (9060)Instruction limit reached!
% 1.84/1.44 % (9060)------------------------------
% 1.84/1.44 % (9060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.44 % (9060)Termination reason: Unknown
% 1.84/1.44 % (9060)Termination phase: Saturation
% 1.84/1.44
% 1.84/1.44 % (9060)Memory used [KB]: 6396
% 1.84/1.44 % (9060)Time elapsed: 0.071 s
% 1.84/1.44 % (9060)Instructions burned: 185 (million)
% 1.84/1.44 % (9060)------------------------------
% 1.84/1.44 % (9060)------------------------------
% 1.84/1.45 % (9083)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/21Mi)
% 1.84/1.45 % (9086)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/377Mi)
% 1.84/1.45 % (9084)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/5Mi)
% 1.84/1.45 % (9085)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/6Mi)
% 1.84/1.45 % (9084)Instruction limit reached!
% 1.84/1.45 % (9084)------------------------------
% 1.84/1.45 % (9084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.45 % (9084)Termination reason: Unknown
% 1.84/1.45 % (9084)Termination phase: Saturation
% 1.84/1.45
% 1.84/1.45 % (9084)Memory used [KB]: 1023
% 1.84/1.45 % (9084)Time elapsed: 0.003 s
% 1.84/1.45 % (9084)Instructions burned: 6 (million)
% 1.84/1.45 % (9084)------------------------------
% 1.84/1.45 % (9084)------------------------------
% 1.84/1.45 % (9085)Instruction limit reached!
% 1.84/1.45 % (9085)------------------------------
% 1.84/1.45 % (9085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.45 % (9085)Termination reason: Unknown
% 1.84/1.45 % (9085)Termination phase: Saturation
% 1.84/1.45
% 1.84/1.45 % (9085)Memory used [KB]: 1023
% 1.84/1.45 % (9085)Time elapsed: 0.003 s
% 1.84/1.45 % (9085)Instructions burned: 6 (million)
% 1.84/1.45 % (9085)------------------------------
% 1.84/1.45 % (9085)------------------------------
% 1.84/1.46 % (9083)Instruction limit reached!
% 1.84/1.46 % (9083)------------------------------
% 1.84/1.46 % (9083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.46 % (9083)Termination reason: Unknown
% 1.84/1.46 % (9083)Termination phase: Saturation
% 1.84/1.46
% 1.84/1.46 % (9083)Memory used [KB]: 5756
% 1.84/1.46 % (9083)Time elapsed: 0.016 s
% 1.84/1.46 % (9083)Instructions burned: 22 (million)
% 1.84/1.46 % (9083)------------------------------
% 1.84/1.46 % (9083)------------------------------
% 1.84/1.46 % (9087)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/779Mi)
% 1.84/1.46 % (9088)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/19Mi)
% 1.84/1.47 % (9088)Instruction limit reached!
% 1.84/1.47 % (9088)------------------------------
% 1.84/1.47 % (9088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.47 % (9088)Termination reason: Unknown
% 1.84/1.47 % (9088)Termination phase: Saturation
% 1.84/1.47
% 1.84/1.47 % (9088)Memory used [KB]: 5628
% 1.84/1.47 % (9088)Time elapsed: 0.009 s
% 1.84/1.47 % (9088)Instructions burned: 21 (million)
% 1.84/1.47 % (9088)------------------------------
% 1.84/1.47 % (9088)------------------------------
% 1.84/1.48 % (9089)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_8723 for (2999ds/879Mi)
% 1.84/1.48 % (9090)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_8723 for (2998ds/17Mi)
% 1.84/1.49 % (9090)Instruction limit reached!
% 1.84/1.49 % (9090)------------------------------
% 1.84/1.49 % (9090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.49 % (9090)Termination reason: Unknown
% 1.84/1.49 % (9090)Termination phase: Saturation
% 1.84/1.49
% 1.84/1.49 % (9090)Memory used [KB]: 5756
% 1.84/1.49 % (9090)Time elapsed: 0.008 s
% 1.84/1.49 % (9090)Instructions burned: 17 (million)
% 1.84/1.49 % (9090)------------------------------
% 1.84/1.49 % (9090)------------------------------
% 1.84/1.50 % (9091)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_8723 for (2998ds/3Mi)
% 1.84/1.50 % (9091)Instruction limit reached!
% 1.84/1.50 % (9091)------------------------------
% 1.84/1.50 % (9091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.50 % (9091)Termination reason: Unknown
% 1.84/1.50 % (9091)Termination phase: Preprocessing 3
% 1.84/1.50
% 1.84/1.50 % (9091)Memory used [KB]: 1023
% 1.84/1.50 % (9091)Time elapsed: 0.003 s
% 1.84/1.50 % (9091)Instructions burned: 4 (million)
% 1.84/1.50 % (9091)------------------------------
% 1.84/1.50 % (9091)------------------------------
% 1.84/1.51 % (9093)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_8723 for (2998ds/30Mi)
% 1.84/1.52 % (9093)Instruction limit reached!
% 1.84/1.52 % (9093)------------------------------
% 1.84/1.52 % (9093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.52 % (9093)Termination reason: Unknown
% 1.84/1.52 % (9093)Termination phase: Saturation
% 1.84/1.52
% 1.84/1.52 % (9093)Memory used [KB]: 5756
% 1.84/1.52 % (9093)Time elapsed: 0.013 s
% 1.84/1.52 % (9093)Instructions burned: 32 (million)
% 1.84/1.52 % (9093)------------------------------
% 1.84/1.52 % (9093)------------------------------
% 1.84/1.53 % (9094)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_8723 for (2998ds/127Mi)
% 1.84/1.57 % (9094)Instruction limit reached!
% 1.84/1.57 % (9094)------------------------------
% 1.84/1.57 % (9094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.57 % (9094)Termination reason: Unknown
% 1.84/1.57 % (9094)Termination phase: Saturation
% 1.84/1.57
% 1.84/1.57 % (9094)Memory used [KB]: 6268
% 1.84/1.57 % (9094)Time elapsed: 0.044 s
% 1.84/1.57 % (9094)Instructions burned: 128 (million)
% 1.84/1.57 % (9094)------------------------------
% 1.84/1.57 % (9094)------------------------------
% 1.84/1.57 % (9086)Refutation not found, non-redundant clauses discarded% (9086)------------------------------
% 1.84/1.57 % (9086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.57 % (9086)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.84/1.57
% 1.84/1.57 % (9086)Memory used [KB]: 6140
% 1.84/1.57 % (9086)Time elapsed: 0.125 s
% 1.84/1.57 % (9086)Instructions burned: 364 (million)
% 1.84/1.57 % (9086)------------------------------
% 1.84/1.57 % (9086)------------------------------
% 1.84/1.58 % (9095)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_8723 for (2997ds/100Mi)
% 1.84/1.59 % (9096)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_8723 for (2997ds/3Mi)
% 1.84/1.59 % (9096)Instruction limit reached!
% 1.84/1.59 % (9096)------------------------------
% 1.84/1.59 % (9096)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.59 % (9096)Termination reason: Unknown
% 1.84/1.59 % (9096)Termination phase: Property scanning
% 1.84/1.59
% 1.84/1.59 % (9096)Memory used [KB]: 1023
% 1.84/1.59 % (9096)Time elapsed: 0.003 s
% 1.84/1.59 % (9096)Instructions burned: 5 (million)
% 1.84/1.59 % (9096)------------------------------
% 1.84/1.59 % (9096)------------------------------
% 1.84/1.60 % (9097)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_8723 for (2997ds/20Mi)
% 1.84/1.60 % (9097)Instruction limit reached!
% 1.84/1.60 % (9097)------------------------------
% 1.84/1.60 % (9097)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.60 % (9097)Termination reason: Unknown
% 1.84/1.60 % (9097)Termination phase: Saturation
% 1.84/1.60
% 1.84/1.60 % (9097)Memory used [KB]: 5628
% 1.84/1.60 % (9097)Time elapsed: 0.030 s
% 1.84/1.60 % (9097)Instructions burned: 20 (million)
% 1.84/1.60 % (9097)------------------------------
% 1.84/1.60 % (9097)------------------------------
% 1.84/1.61 % (9098)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_8723 for (2997ds/86Mi)
% 1.84/1.62 % (9095)Instruction limit reached!
% 1.84/1.62 % (9095)------------------------------
% 1.84/1.62 % (9095)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.62 % (9095)Termination reason: Unknown
% 1.84/1.62 % (9095)Termination phase: Saturation
% 1.84/1.62
% 1.84/1.62 % (9095)Memory used [KB]: 6012
% 1.84/1.62 % (9095)Time elapsed: 0.036 s
% 1.84/1.62 % (9095)Instructions burned: 101 (million)
% 1.84/1.62 % (9095)------------------------------
% 1.84/1.62 % (9095)------------------------------
% 1.84/1.63 % (9099)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_8723 for (2997ds/107Mi)
% 1.84/1.64 % (9098)Instruction limit reached!
% 1.84/1.64 % (9098)------------------------------
% 1.84/1.64 % (9098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.64 % (9098)Termination reason: Unknown
% 1.84/1.64 % (9098)Termination phase: Saturation
% 1.84/1.64
% 1.84/1.64 % (9098)Memory used [KB]: 6140
% 1.84/1.64 % (9098)Time elapsed: 0.052 s
% 1.84/1.64 % (9098)Instructions burned: 88 (million)
% 1.84/1.64 % (9098)------------------------------
% 1.84/1.64 % (9098)------------------------------
% 1.84/1.65 % (9100)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_8723 for (2997ds/39Mi)
% 1.84/1.66 % (9080)Instruction limit reached!
% 1.84/1.66 % (9080)------------------------------
% 1.84/1.66 % (9080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.66 % (9080)Termination reason: Unknown
% 1.84/1.66 % (9080)Termination phase: Saturation
% 1.84/1.66
% 1.84/1.66 % (9080)Memory used [KB]: 7547
% 1.84/1.66 % (9080)Time elapsed: 0.229 s
% 1.84/1.66 % (9080)Instructions burned: 713 (million)
% 1.84/1.66 % (9080)------------------------------
% 1.84/1.66 % (9080)------------------------------
% 1.84/1.66 % (9099)Instruction limit reached!
% 1.84/1.66 % (9099)------------------------------
% 1.84/1.66 % (9099)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.66 % (9099)Termination reason: Unknown
% 1.84/1.66 % (9099)Termination phase: Saturation
% 1.84/1.66
% 1.84/1.66 % (9099)Memory used [KB]: 6012
% 1.84/1.66 % (9099)Time elapsed: 0.059 s
% 1.84/1.66 % (9099)Instructions burned: 107 (million)
% 1.84/1.66 % (9099)------------------------------
% 1.84/1.66 % (9099)------------------------------
% 1.84/1.67 % (9101)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_8723 for (2997ds/448Mi)
% 1.84/1.67 % (9100)Instruction limit reached!
% 1.84/1.67 % (9100)------------------------------
% 1.84/1.67 % (9100)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.67 % (9100)Termination reason: Unknown
% 1.84/1.67 % (9100)Termination phase: Saturation
% 1.84/1.67
% 1.84/1.67 % (9100)Memory used [KB]: 5756
% 1.84/1.67 % (9100)Time elapsed: 0.038 s
% 1.84/1.67 % (9100)Instructions burned: 41 (million)
% 1.84/1.67 % (9100)------------------------------
% 1.84/1.67 % (9100)------------------------------
% 1.84/1.67 % (9102)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_8723 for (2997ds/46Mi)
% 1.84/1.68 % (9103)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_8723 for (2997ds/98Mi)
% 1.84/1.69 % (9102)Instruction limit reached!
% 1.84/1.69 % (9102)------------------------------
% 1.84/1.69 % (9102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.69 % (9102)Termination reason: Unknown
% 1.84/1.69 % (9102)Termination phase: Saturation
% 1.84/1.69
% 1.84/1.69 % (9102)Memory used [KB]: 5756
% 1.84/1.69 % (9102)Time elapsed: 0.042 s
% 1.84/1.69 % (9102)Instructions burned: 48 (million)
% 1.84/1.69 % (9102)------------------------------
% 1.84/1.69 % (9102)------------------------------
% 1.84/1.70 % (9087)Instruction limit reached!
% 1.84/1.70 % (9087)------------------------------
% 1.84/1.70 % (9087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.70 % (9087)Termination reason: Unknown
% 1.84/1.70 % (9087)Termination phase: Saturation
% 1.84/1.70
% 1.84/1.70 % (9087)Memory used [KB]: 6780
% 1.84/1.70 % (9087)Time elapsed: 0.235 s
% 1.84/1.70 % (9087)Instructions burned: 779 (million)
% 1.84/1.70 % (9087)------------------------------
% 1.84/1.70 % (9087)------------------------------
% 1.84/1.70 % (9104)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_8723 for (2996ds/507Mi)
% 1.84/1.71 % (9105)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_8723 for (2996ds/149Mi)
% 1.84/1.71 % (9103)Instruction limit reached!
% 1.84/1.71 % (9103)------------------------------
% 1.84/1.71 % (9103)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.71 % (9103)Termination reason: Unknown
% 1.84/1.71 % (9103)Termination phase: Saturation
% 1.84/1.71
% 1.84/1.71 % (9103)Memory used [KB]: 1535
% 1.84/1.71 % (9103)Time elapsed: 0.058 s
% 1.84/1.71 % (9103)Instructions burned: 99 (million)
% 1.84/1.71 % (9103)------------------------------
% 1.84/1.71 % (9103)------------------------------
% 1.84/1.72 % (9106)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_8723 for (2996ds/39Mi)
% 1.84/1.73 % (9082)Instruction limit reached!
% 1.84/1.73 % (9082)------------------------------
% 1.84/1.73 % (9082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.73 % (9082)Termination reason: Unknown
% 1.84/1.73 % (9082)Termination phase: Saturation
% 1.84/1.73
% 1.84/1.73 % (9082)Memory used [KB]: 6652
% 1.84/1.73 % (9082)Time elapsed: 0.295 s
% 1.84/1.73 % (9082)Instructions burned: 902 (million)
% 1.84/1.73 % (9082)------------------------------
% 1.84/1.73 % (9082)------------------------------
% 1.84/1.73 % (9106)Instruction limit reached!
% 1.84/1.73 % (9106)------------------------------
% 1.84/1.73 % (9106)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.73 % (9106)Termination reason: Unknown
% 1.84/1.73 % (9106)Termination phase: Saturation
% 1.84/1.73
% 1.84/1.73 % (9106)Memory used [KB]: 5756
% 1.84/1.73 % (9106)Time elapsed: 0.016 s
% 1.84/1.73 % (9106)Instructions burned: 40 (million)
% 1.84/1.73 % (9106)------------------------------
% 1.84/1.73 % (9106)------------------------------
% 1.84/1.74 % (9107)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_8723 for (2996ds/6Mi)
% 1.84/1.74 % (9107)Instruction limit reached!
% 1.84/1.74 % (9107)------------------------------
% 1.84/1.74 % (9107)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.74 % (9107)Termination reason: Unknown
% 1.84/1.74 % (9107)Termination phase: Saturation
% 1.84/1.74
% 1.84/1.74 % (9107)Memory used [KB]: 9978
% 1.84/1.74 % (9107)Time elapsed: 0.004 s
% 1.84/1.74 % (9107)Instructions burned: 6 (million)
% 1.84/1.74 % (9107)------------------------------
% 1.84/1.74 % (9107)------------------------------
% 1.84/1.75 % (9108)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_8723 for (2996ds/1087Mi)
% 1.84/1.75 % (9071)Instruction limit reached!
% 1.84/1.75 % (9071)------------------------------
% 1.84/1.75 % (9071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.75 % (9071)Termination reason: Unknown
% 1.84/1.75 % (9071)Termination phase: Saturation
% 1.84/1.75
% 1.84/1.75 % (9071)Memory used [KB]: 8955
% 1.84/1.75 % (9071)Time elapsed: 0.348 s
% 1.84/1.75 % (9071)Instructions burned: 1041 (million)
% 1.84/1.75 % (9071)------------------------------
% 1.84/1.75 % (9071)------------------------------
% 1.84/1.75 % (9109)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_8723 for (2996ds/47Mi)
% 1.84/1.75 % (9105)Instruction limit reached!
% 1.84/1.75 % (9105)------------------------------
% 1.84/1.75 % (9105)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.75 % (9105)Termination reason: Unknown
% 1.84/1.75 % (9105)Termination phase: Saturation
% 1.84/1.75
% 1.84/1.75 % (9105)Memory used [KB]: 6140
% 1.84/1.75 % (9105)Time elapsed: 0.048 s
% 1.84/1.75 % (9105)Instructions burned: 150 (million)
% 1.84/1.75 % (9105)------------------------------
% 1.84/1.75 % (9105)------------------------------
% 1.84/1.76 % (9110)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_8723 for (2996ds/44Mi)
% 1.84/1.76 % (9111)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_8723 for (2996ds/432Mi)
% 1.84/1.77 % (9109)Instruction limit reached!
% 1.84/1.77 % (9109)------------------------------
% 1.84/1.77 % (9109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.77 % (9109)Termination reason: Unknown
% 1.84/1.77 % (9109)Termination phase: Saturation
% 1.84/1.77
% 1.84/1.77 % (9109)Memory used [KB]: 5756
% 1.84/1.77 % (9109)Time elapsed: 0.018 s
% 1.84/1.77 % (9109)Instructions burned: 49 (million)
% 1.84/1.77 % (9109)------------------------------
% 1.84/1.77 % (9109)------------------------------
% 1.84/1.77 % (9089)Instruction limit reached!
% 1.84/1.77 % (9089)------------------------------
% 1.84/1.77 % (9089)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.77 % (9089)Termination reason: Unknown
% 1.84/1.77 % (9089)Termination phase: Saturation
% 1.84/1.77
% 1.84/1.77 % (9089)Memory used [KB]: 7803
% 1.84/1.77 % (9089)Time elapsed: 0.296 s
% 1.84/1.77 % (9089)Instructions burned: 880 (million)
% 1.84/1.77 % (9089)------------------------------
% 1.84/1.77 % (9089)------------------------------
% 1.84/1.77 % (9110)Instruction limit reached!
% 1.84/1.77 % (9110)------------------------------
% 1.84/1.77 % (9110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.77 % (9110)Termination reason: Unknown
% 1.84/1.77 % (9110)Termination phase: Saturation
% 1.84/1.77
% 1.84/1.77 % (9110)Memory used [KB]: 1279
% 1.84/1.77 % (9110)Time elapsed: 0.017 s
% 1.84/1.77 % (9110)Instructions burned: 46 (million)
% 1.84/1.77 % (9110)------------------------------
% 1.84/1.77 % (9110)------------------------------
% 1.84/1.77 % (9112)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/62Mi)
% 1.84/1.78 % (9114)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/96Mi)
% 1.84/1.79 % (9113)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/31Mi)
% 1.84/1.79 % (9112)Instruction limit reached!
% 1.84/1.79 % (9112)------------------------------
% 1.84/1.79 % (9112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.79 % (9112)Termination reason: Unknown
% 1.84/1.79 % (9112)Termination phase: Saturation
% 1.84/1.79
% 1.84/1.79 % (9112)Memory used [KB]: 6012
% 1.84/1.79 % (9112)Time elapsed: 0.021 s
% 1.84/1.79 % (9112)Instructions burned: 65 (million)
% 1.84/1.79 % (9112)------------------------------
% 1.84/1.79 % (9112)------------------------------
% 1.84/1.80 % (9115)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/453Mi)
% 1.84/1.81 % (9113)Instruction limit reached!
% 1.84/1.81 % (9113)------------------------------
% 1.84/1.81 % (9113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.81 % (9113)Termination reason: Unknown
% 1.84/1.81 % (9113)Termination phase: Saturation
% 1.84/1.81
% 1.84/1.81 % (9113)Memory used [KB]: 5756
% 1.84/1.81 % (9113)Time elapsed: 0.021 s
% 1.84/1.81 % (9113)Instructions burned: 32 (million)
% 1.84/1.81 % (9113)------------------------------
% 1.84/1.81 % (9113)------------------------------
% 1.84/1.81 % (9101)Instruction limit reached!
% 1.84/1.81 % (9101)------------------------------
% 1.84/1.81 % (9101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.81 % (9101)Termination reason: Unknown
% 1.84/1.81 % (9101)Termination phase: Saturation
% 1.84/1.81
% 1.84/1.81 % (9101)Memory used [KB]: 6908
% 1.84/1.81 % (9101)Time elapsed: 0.168 s
% 1.84/1.81 % (9101)Instructions burned: 450 (million)
% 1.84/1.81 % (9101)------------------------------
% 1.84/1.81 % (9101)------------------------------
% 1.84/1.81 % (9114)Instruction limit reached!
% 1.84/1.81 % (9114)------------------------------
% 1.84/1.81 % (9114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.81 % (9114)Termination reason: Unknown
% 1.84/1.81 % (9114)Termination phase: Saturation
% 1.84/1.81
% 1.84/1.81 % (9114)Memory used [KB]: 5884
% 1.84/1.81 % (9114)Time elapsed: 0.033 s
% 1.84/1.81 % (9114)Instructions burned: 97 (million)
% 1.84/1.81 % (9114)------------------------------
% 1.84/1.81 % (9114)------------------------------
% 1.84/1.82 % (9117)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/83Mi)
% 1.84/1.82 % (9118)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/11Mi)
% 1.84/1.82 % (9117)Refutation not found, incomplete strategy
% 1.84/1.82 % (9117)------------------------------
% 1.84/1.82 % (9117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.82 % (9117)Termination reason: Refutation not found, incomplete strategy
% 1.84/1.82
% 1.84/1.82
% 1.84/1.82 % (9117)Memory used [KB]: 5628
% 1.84/1.82 % (9117)Time elapsed: 0.005 s
% 1.84/1.82 % (9117)Instructions burned: 11 (million)
% 1.84/1.82 % (9117)------------------------------
% 1.84/1.82 % (9117)------------------------------
% 1.84/1.83 % (9116)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/71Mi)
% 1.84/1.83 % (9118)Instruction limit reached!
% 1.84/1.83 % (9118)------------------------------
% 1.84/1.83 % (9118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.83 % (9118)Termination reason: Unknown
% 1.84/1.83 % (9118)Termination phase: Saturation
% 1.84/1.83
% 1.84/1.83 % (9118)Memory used [KB]: 5628
% 1.84/1.83 % (9118)Time elapsed: 0.005 s
% 1.84/1.83 % (9118)Instructions burned: 13 (million)
% 1.84/1.83 % (9118)------------------------------
% 1.84/1.83 % (9118)------------------------------
% 1.84/1.83 % (9119)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/41Mi)
% 1.84/1.84 % (9120)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/6Mi)
% 1.84/1.84 % (9120)Instruction limit reached!
% 1.84/1.84 % (9120)------------------------------
% 1.84/1.84 % (9120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.84 % (9120)Termination reason: Unknown
% 1.84/1.84 % (9120)Termination phase: Saturation
% 1.84/1.84
% 1.84/1.84 % (9120)Memory used [KB]: 5500
% 1.84/1.84 % (9120)Time elapsed: 0.003 s
% 1.84/1.84 % (9120)Instructions burned: 7 (million)
% 1.84/1.84 % (9120)------------------------------
% 1.84/1.84 % (9120)------------------------------
% 1.84/1.85 % (9119)Instruction limit reached!
% 1.84/1.85 % (9119)------------------------------
% 1.84/1.85 % (9119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.85 % (9119)Termination reason: Unknown
% 1.84/1.85 % (9119)Termination phase: Saturation
% 1.84/1.85
% 1.84/1.85 % (9119)Memory used [KB]: 5884
% 1.84/1.85 % (9119)Time elapsed: 0.014 s
% 1.84/1.85 % (9119)Instructions burned: 42 (million)
% 1.84/1.85 % (9119)------------------------------
% 1.84/1.85 % (9119)------------------------------
% 1.84/1.85 % (9121)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/150Mi)
% 1.84/1.86 % (9122)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_8723 for (2995ds/343Mi)
% 1.84/1.86 % (9104)Instruction limit reached!
% 1.84/1.86 % (9104)------------------------------
% 1.84/1.86 % (9104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.86 % (9104)Termination reason: Unknown
% 1.84/1.86 % (9104)Termination phase: Saturation
% 1.84/1.86
% 1.84/1.86 % (9104)Memory used [KB]: 6268
% 1.84/1.86 % (9104)Time elapsed: 0.163 s
% 1.84/1.86 % (9104)Instructions burned: 507 (million)
% 1.84/1.86 % (9104)------------------------------
% 1.84/1.86 % (9104)------------------------------
% 1.84/1.87 % (9116)Instruction limit reached!
% 1.84/1.87 % (9116)------------------------------
% 1.84/1.87 % (9116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.87 % (9116)Termination reason: Unknown
% 1.84/1.87 % (9116)Termination phase: Saturation
% 1.84/1.87
% 1.84/1.87 % (9116)Memory used [KB]: 5884
% 1.84/1.87 % (9116)Time elapsed: 0.046 s
% 1.84/1.87 % (9116)Instructions burned: 72 (million)
% 1.84/1.87 % (9116)------------------------------
% 1.84/1.87 % (9116)------------------------------
% 1.84/1.87 % (9123)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_8723 for (2994ds/109Mi)
% 1.84/1.87 % (9115)First to succeed.
% 1.84/1.87 % (9115)Refutation found. Thanks to Tanya!
% 1.84/1.87 % SZS status Theorem for DTF2THF_8723
% 1.84/1.87 % SZS output start Proof for DTF2THF_8723
% 1.84/1.87 thf(type_def_6, type, elem: $tType).
% 1.84/1.87 thf(type_def_7, type, nat: $tType).
% 1.84/1.87 thf(type_def_8, type, list: $tType).
% 1.84/1.87 thf(func_def_0, type, isPer: !>[X0: $tType]:((X0 > X0 > $o) > $o)).
% 1.84/1.87 thf(func_def_2, type, elem: $tType).
% 1.84/1.87 thf(func_def_3, type, elemStar: elem > elem > $o).
% 1.84/1.87 thf(func_def_4, type, nat: $tType).
% 1.84/1.87 thf(func_def_5, type, natStar: nat > nat > $o).
% 1.84/1.87 thf(func_def_6, type, zero: nat).
% 1.84/1.87 thf(func_def_7, type, suc: nat > nat).
% 1.84/1.87 thf(func_def_8, type, plus: nat > nat > nat).
% 1.84/1.87 thf(func_def_9, type, list: $tType).
% 1.84/1.87 thf(func_def_10, type, listStar: nat > list > list > $o).
% 1.84/1.87 thf(func_def_11, type, nil: list).
% 1.84/1.87 thf(func_def_12, type, cons: nat > elem > list > list).
% 1.84/1.87 thf(func_def_13, type, app: nat > nat > list > list > list).
% 1.84/1.87 thf(func_def_14, type, rev: nat > list > list).
% 1.84/1.87 thf(func_def_31, type, ph1: !>[X0: $tType]:(X0)).
% 1.84/1.87 thf(func_def_32, type, sK2: list).
% 1.84/1.87 thf(func_def_33, type, sK3: nat).
% 1.84/1.87 thf(func_def_34, type, inv_suc_4: nat > nat).
% 1.84/1.87 thf(func_def_35, type, sK5: (nat > $o) > nat).
% 1.84/1.87 thf(func_def_36, type, sK6: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 1.84/1.87 thf(func_def_37, type, sK7: !>[X0: $tType]:((X0 > X0 > $o) > X0)).
% 1.84/1.87 thf(f713,plain,(
% 1.84/1.87 $false),
% 1.84/1.87 inference(trivial_inequality_removal,[status(thm)],[f712])).
% 1.84/1.87 thf(f712,plain,(
% 1.84/1.87 ($true = $false)),
% 1.84/1.87 inference(backward_demodulation,[status(thm)],[f62,f711])).
% 1.84/1.87 thf(f711,plain,(
% 1.84/1.87 ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $false)),
% 1.84/1.87 inference(trivial_inequality_removal,[status(thm)],[f710])).
% 1.84/1.87 thf(f710,plain,(
% 1.84/1.87 ($true = $false) | ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $false)),
% 1.84/1.87 inference(forward_demodulation,[status(thm)],[f709,f85])).
% 1.84/1.87 thf(f85,plain,(
% 1.84/1.87 ($true = (listStar @ sK3 @ sK2 @ sK2))),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f83])).
% 1.84/1.87 thf(f83,plain,(
% 1.84/1.87 ($false = ((listStar @ sK3 @ sK2 @ sK2) => (listStar @ (plus @ zero @ sK3) @ (rev @ (plus @ zero @ sK3) @ (app @ zero @ sK3 @ (rev @ zero @ nil) @ sK2)) @ (rev @ sK3 @ sK2))))),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f82])).
% 1.84/1.87 thf(f82,plain,(
% 1.84/1.87 (((^[Y0 : nat]: ((listStar @ Y0 @ sK2 @ sK2) => (listStar @ (plus @ zero @ Y0) @ (rev @ (plus @ zero @ Y0) @ (app @ zero @ Y0 @ (rev @ zero @ nil) @ sK2)) @ (rev @ Y0 @ sK2)))) @ sK3) = $false)),
% 1.84/1.87 inference(sigma_clausification,[status(thm)],[f79])).
% 1.84/1.87 thf(f79,plain,(
% 1.84/1.87 ((!! @ nat @ (^[Y0 : nat]: ((listStar @ Y0 @ sK2 @ sK2) => (listStar @ (plus @ zero @ Y0) @ (rev @ (plus @ zero @ Y0) @ (app @ zero @ Y0 @ (rev @ zero @ nil) @ sK2)) @ (rev @ Y0 @ sK2))))) = $false)),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f78])).
% 1.84/1.87 thf(f78,plain,(
% 1.84/1.87 (((^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ Y0 @ Y0) => (listStar @ (plus @ zero @ Y1) @ (rev @ (plus @ zero @ Y1) @ (app @ zero @ Y1 @ (rev @ zero @ nil) @ Y0)) @ (rev @ Y1 @ Y0)))))) @ sK2) = $false)),
% 1.84/1.87 inference(sigma_clausification,[status(thm)],[f77])).
% 1.84/1.87 thf(f77,plain,(
% 1.84/1.87 ((!! @ list @ (^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ Y0 @ Y0) => (listStar @ (plus @ zero @ Y1) @ (rev @ (plus @ zero @ Y1) @ (app @ zero @ Y1 @ (rev @ zero @ nil) @ Y0)) @ (rev @ Y1 @ Y0))))))) = $false)),
% 1.84/1.87 inference(not_proxy_clausification,[status(thm)],[f74])).
% 1.84/1.87 thf(f74,plain,(
% 1.84/1.87 ((~ (!! @ list @ (^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ Y0 @ Y0) => (listStar @ (plus @ zero @ Y1) @ (rev @ (plus @ zero @ Y1) @ (app @ zero @ Y1 @ (rev @ zero @ nil) @ Y0)) @ (rev @ Y1 @ Y0)))))))) = $true)),
% 1.84/1.87 inference(cnf_transformation,[status(thm)],[f24])).
% 1.84/1.87 thf(f24,plain,(
% 1.84/1.87 ((~ (!! @ list @ (^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ Y0 @ Y0) => (listStar @ (plus @ zero @ Y1) @ (rev @ (plus @ zero @ Y1) @ (app @ zero @ Y1 @ (rev @ zero @ nil) @ Y0)) @ (rev @ Y1 @ Y0)))))))) = $true)),
% 1.84/1.87 inference(fool_elimination,[status(thm)],[f23])).
% 1.84/1.87 thf(f23,plain,(
% 1.84/1.87 ~! [X0 : nat,X1 : list] : ((listStar @ X0 @ X1 @ X1) => (listStar @ (plus @ zero @ X0) @ (rev @ (plus @ zero @ X0) @ (app @ zero @ X0 @ (rev @ zero @ nil) @ X1)) @ (rev @ X0 @ X1)))),
% 1.84/1.87 inference(rectify,[status(thm)],[f19])).
% 1.84/1.87 thf(f19,negated_conjecture,(
% 1.84/1.87 ~! [X13 : nat,X14 : list] : ((listStar @ X13 @ X14 @ X14) => (listStar @ (plus @ zero @ X13) @ (rev @ (plus @ zero @ X13) @ (app @ zero @ X13 @ (rev @ zero @ nil) @ X14)) @ (rev @ X13 @ X14)))),
% 1.84/1.87 inference(negated_conjecture,[status(cth)],[f18])).
% 1.84/1.87 thf(f18,conjecture,(
% 1.84/1.87 ! [X13 : nat,X14 : list] : ((listStar @ X13 @ X14 @ X14) => (listStar @ (plus @ zero @ X13) @ (rev @ (plus @ zero @ X13) @ (app @ zero @ X13 @ (rev @ zero @ nil) @ X14)) @ (rev @ X13 @ X14)))),
% 1.84/1.87 file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',list_rev_invol_lem_base_step1)).
% 1.84/1.87 thf(f709,plain,(
% 1.84/1.87 ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $false) | ((listStar @ sK3 @ sK2 @ sK2) = $false)),
% 1.84/1.87 inference(trivial_inequality_removal,[status(thm)],[f708])).
% 1.84/1.87 thf(f708,plain,(
% 1.84/1.87 ((listStar @ sK3 @ sK2 @ sK2) = $false) | ($true = $false) | ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $false)),
% 1.84/1.87 inference(duplicate_literal_removal,[status(thm)],[f700])).
% 1.84/1.87 thf(f700,plain,(
% 1.84/1.87 ((listStar @ sK3 @ sK2 @ sK2) = $false) | ($true = $false) | ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $false) | ((listStar @ sK3 @ sK2 @ sK2) = $false)),
% 1.84/1.87 inference(superposition,[status(thm)],[f630,f192])).
% 1.84/1.87 thf(f192,plain,(
% 1.84/1.87 ( ! [X2 : nat,X1 : list] : (($true = (listStar @ X2 @ (app @ zero @ X2 @ nil @ X1) @ X1)) | ((listStar @ X2 @ X1 @ X1) = $false)) )),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f191])).
% 1.84/1.87 thf(f191,plain,(
% 1.84/1.87 ( ! [X2 : nat,X1 : list] : (($true = ((listStar @ X2 @ X1 @ X1) => (listStar @ X2 @ (app @ zero @ X2 @ nil @ X1) @ X1)))) )),
% 1.84/1.87 inference(forward_demodulation,[status(thm)],[f190,f92])).
% 1.84/1.87 thf(f92,plain,(
% 1.84/1.87 ( ! [X1 : nat] : (((plus @ zero @ X1) = X1)) )),
% 1.84/1.87 inference(equality_proxy_clausification,[status(thm)],[f91])).
% 1.84/1.87 thf(f91,plain,(
% 1.84/1.87 ( ! [X1 : nat] : (($true = ((plus @ zero @ X1) = X1))) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f90])).
% 1.84/1.87 thf(f90,plain,(
% 1.84/1.87 ( ! [X1 : nat] : (($true = ((^[Y0 : nat]: ((plus @ zero @ Y0) = Y0)) @ X1))) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f60])).
% 1.84/1.87 thf(f60,plain,(
% 1.84/1.87 ((!! @ nat @ (^[Y0 : nat]: ((plus @ zero @ Y0) = Y0))) = $true)),
% 1.84/1.87 inference(cnf_transformation,[status(thm)],[f48])).
% 1.84/1.87 thf(f48,plain,(
% 1.84/1.87 ((!! @ nat @ (^[Y0 : nat]: ((plus @ zero @ Y0) = Y0))) = $true)),
% 1.84/1.87 inference(fool_elimination,[status(thm)],[f47])).
% 1.84/1.87 thf(f47,plain,(
% 1.84/1.87 ! [X0 : nat] : ((plus @ zero @ X0) = X0)),
% 1.84/1.87 inference(rectify,[status(thm)],[f12])).
% 1.84/1.87 thf(f12,axiom,(
% 1.84/1.87 ! [X6 : nat] : ((plus @ zero @ X6) = X6)),
% 1.84/1.87 file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',ax1)).
% 1.84/1.87 thf(f190,plain,(
% 1.84/1.87 ( ! [X2 : nat,X1 : list] : ((((listStar @ X2 @ X1 @ X1) => (listStar @ (plus @ zero @ X2) @ (app @ zero @ X2 @ nil @ X1) @ X1)) = $true)) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f189])).
% 1.84/1.87 thf(f189,plain,(
% 1.84/1.87 ( ! [X2 : nat,X1 : list] : (($true = ((^[Y0 : nat]: ((listStar @ Y0 @ X1 @ X1) => (listStar @ (plus @ zero @ Y0) @ (app @ zero @ Y0 @ nil @ X1) @ X1))) @ X2))) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f167])).
% 1.84/1.87 thf(f167,plain,(
% 1.84/1.87 ( ! [X1 : list] : (((!! @ nat @ (^[Y0 : nat]: ((listStar @ Y0 @ X1 @ X1) => (listStar @ (plus @ zero @ Y0) @ (app @ zero @ Y0 @ nil @ X1) @ X1)))) = $true)) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f166])).
% 1.84/1.87 thf(f166,plain,(
% 1.84/1.87 ( ! [X1 : list] : (($true = ((^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ Y0 @ Y0) => (listStar @ (plus @ zero @ Y1) @ (app @ zero @ Y1 @ nil @ Y0) @ Y0))))) @ X1))) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f68])).
% 1.84/1.87 thf(f68,plain,(
% 1.84/1.87 ($true = (!! @ list @ (^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ Y0 @ Y0) => (listStar @ (plus @ zero @ Y1) @ (app @ zero @ Y1 @ nil @ Y0) @ Y0)))))))),
% 1.84/1.87 inference(cnf_transformation,[status(thm)],[f46])).
% 1.84/1.87 thf(f46,plain,(
% 1.84/1.87 ($true = (!! @ list @ (^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ Y0 @ Y0) => (listStar @ (plus @ zero @ Y1) @ (app @ zero @ Y1 @ nil @ Y0) @ Y0)))))))),
% 1.84/1.87 inference(fool_elimination,[status(thm)],[f45])).
% 1.84/1.87 thf(f45,plain,(
% 1.84/1.87 ! [X0 : nat,X1 : list] : ((listStar @ X0 @ X1 @ X1) => (listStar @ (plus @ zero @ X0) @ (app @ zero @ X0 @ nil @ X1) @ X1))),
% 1.84/1.87 inference(rectify,[status(thm)],[f14])).
% 1.84/1.87 thf(f14,axiom,(
% 1.84/1.87 ! [X6 : nat,X2 : list] : ((listStar @ X6 @ X2 @ X2) => (listStar @ (plus @ zero @ X6) @ (app @ zero @ X6 @ nil @ X2) @ X2))),
% 1.84/1.87 file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',ax3)).
% 1.84/1.87 thf(f630,plain,(
% 1.84/1.87 ( ! [X0 : list,X1 : list] : (((listStar @ sK3 @ (app @ zero @ sK3 @ X0 @ X1) @ sK2) = $false) | ($false = (listStar @ zero @ (rev @ zero @ nil) @ X0)) | ((listStar @ sK3 @ sK2 @ X1) = $false)) )),
% 1.84/1.87 inference(trivial_inequality_removal,[status(thm)],[f623])).
% 1.84/1.87 thf(f623,plain,(
% 1.84/1.87 ( ! [X0 : list,X1 : list] : (((listStar @ sK3 @ (app @ zero @ sK3 @ X0 @ X1) @ sK2) = $false) | ($true = $false) | ($false = (listStar @ zero @ (rev @ zero @ nil) @ X0)) | ((listStar @ sK3 @ sK2 @ X1) = $false)) )),
% 1.84/1.87 inference(superposition,[status(thm)],[f331,f617])).
% 1.84/1.87 thf(f617,plain,(
% 1.84/1.87 ( ! [X0 : list] : (((listStar @ sK3 @ (app @ zero @ sK3 @ (rev @ zero @ nil) @ sK2) @ X0) = $false) | ($false = (listStar @ sK3 @ X0 @ sK2))) )),
% 1.84/1.87 inference(trivial_inequality_removal,[status(thm)],[f616])).
% 1.84/1.87 thf(f616,plain,(
% 1.84/1.87 ( ! [X0 : list] : (((listStar @ sK3 @ (app @ zero @ sK3 @ (rev @ zero @ nil) @ sK2) @ X0) = $false) | ($true = $false) | ($false = (listStar @ sK3 @ X0 @ sK2))) )),
% 1.84/1.87 inference(forward_demodulation,[status(thm)],[f602,f81])).
% 1.84/1.87 thf(f81,plain,(
% 1.84/1.87 ( ! [X1 : nat] : (((isPer @ list @ (listStar @ X1)) = $true)) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f80])).
% 1.84/1.87 thf(f80,plain,(
% 1.84/1.87 ( ! [X1 : nat] : (($true = ((^[Y0 : nat]: (isPer @ list @ (listStar @ Y0))) @ X1))) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f63])).
% 1.84/1.87 thf(f63,plain,(
% 1.84/1.87 ((!! @ nat @ (^[Y0 : nat]: (isPer @ list @ (listStar @ Y0)))) = $true)),
% 1.84/1.87 inference(cnf_transformation,[status(thm)],[f54])).
% 1.84/1.87 thf(f54,plain,(
% 1.84/1.87 ((!! @ nat @ (^[Y0 : nat]: (isPer @ list @ (listStar @ Y0)))) = $true)),
% 1.84/1.87 inference(fool_elimination,[status(thm)],[f53])).
% 1.84/1.87 thf(f53,plain,(
% 1.84/1.87 ! [X0 : nat] : (isPer @ list @ (listStar @ X0))),
% 1.84/1.87 inference(rectify,[status(thm)],[f4])).
% 1.84/1.87 thf(f4,axiom,(
% 1.84/1.87 ! [X5 : nat] : (isPer @ list @ (listStar @ X5))),
% 1.84/1.87 file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p','\'listStar\'_is_per')).
% 1.84/1.87 thf(f602,plain,(
% 1.84/1.87 ( ! [X0 : list] : (($false = (listStar @ sK3 @ X0 @ sK2)) | ($false = (isPer @ list @ (listStar @ sK3))) | ((listStar @ sK3 @ (app @ zero @ sK3 @ (rev @ zero @ nil) @ sK2) @ X0) = $false)) )),
% 1.84/1.87 inference(trivial_inequality_removal,[status(thm)],[f567])).
% 1.84/1.87 thf(f567,plain,(
% 1.84/1.87 ( ! [X0 : list] : (($false = (listStar @ sK3 @ X0 @ sK2)) | ($true = $false) | ($false = (isPer @ list @ (listStar @ sK3))) | ((listStar @ sK3 @ (app @ zero @ sK3 @ (rev @ zero @ nil) @ sK2) @ X0) = $false)) )),
% 1.84/1.87 inference(superposition,[status(thm)],[f551,f152])).
% 1.84/1.87 thf(f152,plain,(
% 1.84/1.87 ((listStar @ sK3 @ (app @ zero @ sK3 @ (rev @ zero @ nil) @ sK2) @ sK2) = $false)),
% 1.84/1.87 inference(trivial_inequality_removal,[status(thm)],[f149])).
% 1.84/1.87 thf(f149,plain,(
% 1.84/1.87 ((listStar @ sK3 @ (app @ zero @ sK3 @ (rev @ zero @ nil) @ sK2) @ sK2) = $false) | ($true = $false)),
% 1.84/1.87 inference(superposition,[status(thm)],[f148,f93])).
% 1.84/1.87 thf(f93,plain,(
% 1.84/1.87 ((listStar @ sK3 @ (rev @ sK3 @ (app @ zero @ sK3 @ (rev @ zero @ nil) @ sK2)) @ (rev @ sK3 @ sK2)) = $false)),
% 1.84/1.87 inference(backward_demodulation,[status(thm)],[f84,f92])).
% 1.84/1.87 thf(f84,plain,(
% 1.84/1.87 ((listStar @ (plus @ zero @ sK3) @ (rev @ (plus @ zero @ sK3) @ (app @ zero @ sK3 @ (rev @ zero @ nil) @ sK2)) @ (rev @ sK3 @ sK2)) = $false)),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f83])).
% 1.84/1.87 thf(f148,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list] : (((listStar @ X3 @ (rev @ X3 @ X2) @ (rev @ X3 @ X1)) = $true) | ($false = (listStar @ X3 @ X2 @ X1))) )),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f147])).
% 1.84/1.87 thf(f147,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list] : (($true = ((listStar @ X3 @ X2 @ X1) => (listStar @ X3 @ (rev @ X3 @ X2) @ (rev @ X3 @ X1))))) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f146])).
% 1.84/1.87 thf(f146,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list] : (($true = ((^[Y0 : nat]: ((listStar @ Y0 @ X2 @ X1) => (listStar @ Y0 @ (rev @ Y0 @ X2) @ (rev @ Y0 @ X1)))) @ X3))) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f136])).
% 1.84/1.87 thf(f136,plain,(
% 1.84/1.87 ( ! [X2 : list,X1 : list] : (($true = (!! @ nat @ (^[Y0 : nat]: ((listStar @ Y0 @ X2 @ X1) => (listStar @ Y0 @ (rev @ Y0 @ X2) @ (rev @ Y0 @ X1))))))) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f135])).
% 1.84/1.87 thf(f135,plain,(
% 1.84/1.87 ( ! [X2 : list,X1 : list] : (($true = ((^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ Y0 @ X1) => (listStar @ Y1 @ (rev @ Y1 @ Y0) @ (rev @ Y1 @ X1)))))) @ X2))) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f123])).
% 1.84/1.87 thf(f123,plain,(
% 1.84/1.87 ( ! [X1 : list] : (($true = (!! @ list @ (^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ Y0 @ X1) => (listStar @ Y1 @ (rev @ Y1 @ Y0) @ (rev @ Y1 @ X1))))))))) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f122])).
% 1.84/1.87 thf(f122,plain,(
% 1.84/1.87 ( ! [X1 : list] : (($true = ((^[Y0 : list]: (!! @ list @ (^[Y1 : list]: (!! @ nat @ (^[Y2 : nat]: ((listStar @ Y2 @ Y1 @ Y0) => (listStar @ Y2 @ (rev @ Y2 @ Y1) @ (rev @ Y2 @ Y0)))))))) @ X1))) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f64])).
% 1.84/1.87 thf(f64,plain,(
% 1.84/1.87 ($true = (!! @ list @ (^[Y0 : list]: (!! @ list @ (^[Y1 : list]: (!! @ nat @ (^[Y2 : nat]: ((listStar @ Y2 @ Y1 @ Y0) => (listStar @ Y2 @ (rev @ Y2 @ Y1) @ (rev @ Y2 @ Y0))))))))))),
% 1.84/1.87 inference(cnf_transformation,[status(thm)],[f22])).
% 1.84/1.87 thf(f22,plain,(
% 1.84/1.87 ($true = (!! @ list @ (^[Y0 : list]: (!! @ list @ (^[Y1 : list]: (!! @ nat @ (^[Y2 : nat]: ((listStar @ Y2 @ Y1 @ Y0) => (listStar @ Y2 @ (rev @ Y2 @ Y1) @ (rev @ Y2 @ Y0))))))))))),
% 1.84/1.87 inference(fool_elimination,[status(thm)],[f21])).
% 1.84/1.87 thf(f21,plain,(
% 1.84/1.87 ! [X0 : nat,X1 : list,X2 : list] : ((listStar @ X0 @ X1 @ X2) => (listStar @ X0 @ (rev @ X0 @ X1) @ (rev @ X0 @ X2)))),
% 1.84/1.87 inference(rectify,[status(thm)],[f8])).
% 1.84/1.87 thf(f8,axiom,(
% 1.84/1.87 ! [X6 : nat,X7 : list,X11 : list] : ((listStar @ X6 @ X7 @ X11) => (listStar @ X6 @ (rev @ X6 @ X7) @ (rev @ X6 @ X11)))),
% 1.84/1.87 file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',rev_tp_ax)).
% 1.84/1.87 thf(f551,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > X0 > $o,X4 : X0] : (($true = (X1 @ X4 @ X2)) | ((X1 @ X3 @ X2) = $false) | ((isPer @ X0 @ X1) = $false) | ((X1 @ X4 @ X3) = $false)) )),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f550])).
% 1.84/1.87 thf(f550,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > X0 > $o,X4 : X0] : ((((X1 @ X3 @ X2) => (X1 @ X4 @ X2)) = $true) | ((X1 @ X4 @ X3) = $false) | ((isPer @ X0 @ X1) = $false)) )),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f549])).
% 1.84/1.87 thf(f549,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > X0 > $o,X4 : X0] : (((isPer @ X0 @ X1) = $false) | (((X1 @ X4 @ X3) => ((X1 @ X3 @ X2) => (X1 @ X4 @ X2))) = $true)) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f548])).
% 1.84/1.87 thf(f548,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > X0 > $o,X4 : X0] : (((isPer @ X0 @ X1) = $false) | (((^[Y0 : X0]: ((X1 @ Y0 @ X3) => ((X1 @ X3 @ X2) => (X1 @ Y0 @ X2)))) @ X4) = $true)) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f547])).
% 1.84/1.87 thf(f547,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > X0 > $o] : (((!! @ X0 @ (^[Y0 : X0]: ((X1 @ Y0 @ X3) => ((X1 @ X3 @ X2) => (X1 @ Y0 @ X2))))) = $true) | ((isPer @ X0 @ X1) = $false)) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f546])).
% 1.84/1.87 thf(f546,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X2 : X0,X3 : X0,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = $false) | ($true = ((^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((X1 @ Y1 @ Y0) => ((X1 @ Y0 @ X2) => (X1 @ Y1 @ X2)))))) @ X3))) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f545])).
% 1.84/1.87 thf(f545,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X2 : X0,X1 : X0 > X0 > $o] : (($true = (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((X1 @ Y1 @ Y0) => ((X1 @ Y0 @ X2) => (X1 @ Y1 @ X2)))))))) | ((isPer @ X0 @ X1) = $false)) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f544])).
% 1.84/1.87 thf(f544,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X2 : X0,X1 : X0 > X0 > $o] : ((((^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((X1 @ Y2 @ Y1) => ((X1 @ Y1 @ Y0) => (X1 @ Y2 @ Y0)))))))) @ X2) = $true) | ((isPer @ X0 @ X1) = $false)) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f341])).
% 1.84/1.87 thf(f341,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((X1 @ Y2 @ Y1) => ((X1 @ Y1 @ Y0) => (X1 @ Y2 @ Y0))))))))) = $true) | ((isPer @ X0 @ X1) = $false)) )),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f339])).
% 1.84/1.87 thf(f339,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : ((((!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((X1 @ Y1 @ Y0) => (X1 @ Y0 @ Y1)))))) & (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((X1 @ Y2 @ Y1) => ((X1 @ Y1 @ Y0) => (X1 @ Y2 @ Y0)))))))))) = $true) | ((isPer @ X0 @ X1) = $false)) )),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f337])).
% 1.84/1.87 thf(f337,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((isPer @ X0 @ X1) = ((!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((X1 @ Y1 @ Y0) => (X1 @ Y0 @ Y1)))))) & (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((X1 @ Y2 @ Y1) => ((X1 @ Y1 @ Y0) => (X1 @ Y2 @ Y0)))))))))))) )),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f336])).
% 1.84/1.87 thf(f336,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (((((!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: ((X1 @ Y1 @ Y0) => (X1 @ Y0 @ Y1)))))) & (!! @ X0 @ (^[Y0 : X0]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((X1 @ Y2 @ Y1) => ((X1 @ Y1 @ Y0) => (X1 @ Y2 @ Y0)))))))))) = (isPer @ X0 @ X1)) = $true)) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f335])).
% 1.84/1.87 thf(f335,plain,(
% 1.84/1.87 ( ! [X0 : $tType,X1 : X0 > X0 > $o] : (($true = ((^[Y0 : X0 > X0 > $o]: (((!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2)))))) & (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (!! @ X0 @ (^[Y3 : X0]: ((Y0 @ Y3 @ Y2) => ((Y0 @ Y2 @ Y1) => (Y0 @ Y3 @ Y1)))))))))) = (isPer @ X0 @ Y0))) @ X1))) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f70])).
% 1.84/1.87 thf(f70,plain,(
% 1.84/1.87 ( ! [X0 : $tType] : (((!! @ (X0 > X0 > $o) @ (^[Y0 : X0 > X0 > $o]: (((!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2)))))) & (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (!! @ X0 @ (^[Y3 : X0]: ((Y0 @ Y3 @ Y2) => ((Y0 @ Y2 @ Y1) => (Y0 @ Y3 @ Y1)))))))))) = (isPer @ X0 @ Y0)))) = $true)) )),
% 1.84/1.87 inference(cnf_transformation,[status(thm)],[f57])).
% 1.84/1.87 thf(f57,plain,(
% 1.84/1.87 ! [X0 : $tType] : ((!! @ (X0 > X0 > $o) @ (^[Y0 : X0 > X0 > $o]: (((!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2)))))) & (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (!! @ X0 @ (^[Y3 : X0]: ((Y0 @ Y3 @ Y2) => ((Y0 @ Y2 @ Y1) => (Y0 @ Y3 @ Y1)))))))))) = (isPer @ X0 @ Y0)))) = $true)),
% 1.84/1.87 inference(closure,[status(thm)],[f26])).
% 1.84/1.87 thf(f26,plain,(
% 1.84/1.87 ( ! [X0 : $tType] : (((!! @ (X0 > X0 > $o) @ (^[Y0 : X0 > X0 > $o]: (((!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2)))))) & (!! @ X0 @ (^[Y1 : X0]: (!! @ X0 @ (^[Y2 : X0]: (!! @ X0 @ (^[Y3 : X0]: ((Y0 @ Y3 @ Y2) => ((Y0 @ Y2 @ Y1) => (Y0 @ Y3 @ Y1)))))))))) = (isPer @ X0 @ Y0)))) = $true)) )),
% 1.84/1.87 inference(fool_elimination,[status(thm)],[f25])).
% 1.84/1.87 thf(f25,plain,(
% 1.84/1.87 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4))) & ! [X5 : X0,X6 : X0] : ((X1 @ X5 @ X6) => (X1 @ X6 @ X5))) <=> (isPer @ X0 @ X1))),
% 1.84/1.87 inference(rectify,[status(thm)],[f1])).
% 1.84/1.87 thf(f1,axiom,(
% 1.84/1.87 ! [X0 : $tType,X1 : X0 > X0 > $o] : ((! [X2 : X0,X3 : X0,X4 : X0] : ((X1 @ X2 @ X3) => ((X1 @ X3 @ X4) => (X1 @ X2 @ X4))) & ! [X2 : X0,X3 : X0] : ((X1 @ X2 @ X3) => (X1 @ X3 @ X2))) <=> (isPer @ X0 @ X1))),
% 1.84/1.87 file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',is_per)).
% 1.84/1.87 thf(f331,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : list,X0 : nat,X1 : list,X4 : list] : (((listStar @ X0 @ (app @ zero @ X0 @ X1 @ X2) @ (app @ zero @ X0 @ X3 @ X4)) = $true) | ((listStar @ zero @ X1 @ X3) = $false) | ($false = (listStar @ X0 @ X2 @ X4))) )),
% 1.84/1.87 inference(superposition,[status(thm)],[f330,f92])).
% 1.84/1.87 thf(f330,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list,X6 : list,X4 : nat,X5 : list] : (($true = (listStar @ (plus @ X4 @ X3) @ (app @ X4 @ X3 @ X2 @ X6) @ (app @ X4 @ X3 @ X1 @ X5))) | ((listStar @ X3 @ X6 @ X5) = $false) | ((listStar @ X4 @ X2 @ X1) = $false)) )),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f329])).
% 1.84/1.87 thf(f329,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list,X6 : list,X4 : nat,X5 : list] : ((((listStar @ X3 @ X6 @ X5) => (listStar @ (plus @ X4 @ X3) @ (app @ X4 @ X3 @ X2 @ X6) @ (app @ X4 @ X3 @ X1 @ X5))) = $true) | ((listStar @ X4 @ X2 @ X1) = $false)) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f328])).
% 1.84/1.87 thf(f328,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list,X6 : list,X4 : nat,X5 : list] : ((((^[Y0 : list]: ((listStar @ X3 @ Y0 @ X5) => (listStar @ (plus @ X4 @ X3) @ (app @ X4 @ X3 @ X2 @ Y0) @ (app @ X4 @ X3 @ X1 @ X5)))) @ X6) = $true) | ((listStar @ X4 @ X2 @ X1) = $false)) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f327])).
% 1.84/1.87 thf(f327,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list,X4 : nat,X5 : list] : (((!! @ list @ (^[Y0 : list]: ((listStar @ X3 @ Y0 @ X5) => (listStar @ (plus @ X4 @ X3) @ (app @ X4 @ X3 @ X2 @ Y0) @ (app @ X4 @ X3 @ X1 @ X5))))) = $true) | ((listStar @ X4 @ X2 @ X1) = $false)) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f326])).
% 1.84/1.87 thf(f326,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list,X4 : nat,X5 : list] : (($true = ((^[Y0 : list]: (!! @ list @ (^[Y1 : list]: ((listStar @ X3 @ Y1 @ Y0) => (listStar @ (plus @ X4 @ X3) @ (app @ X4 @ X3 @ X2 @ Y1) @ (app @ X4 @ X3 @ X1 @ Y0)))))) @ X5)) | ((listStar @ X4 @ X2 @ X1) = $false)) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f325])).
% 1.84/1.87 thf(f325,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list,X4 : nat] : (((!! @ list @ (^[Y0 : list]: (!! @ list @ (^[Y1 : list]: ((listStar @ X3 @ Y1 @ Y0) => (listStar @ (plus @ X4 @ X3) @ (app @ X4 @ X3 @ X2 @ Y1) @ (app @ X4 @ X3 @ X1 @ Y0))))))) = $true) | ((listStar @ X4 @ X2 @ X1) = $false)) )),
% 1.84/1.87 inference(binary_proxy_clausification,[status(thm)],[f324])).
% 1.84/1.87 thf(f324,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list,X4 : nat] : (($true = ((listStar @ X4 @ X2 @ X1) => (!! @ list @ (^[Y0 : list]: (!! @ list @ (^[Y1 : list]: ((listStar @ X3 @ Y1 @ Y0) => (listStar @ (plus @ X4 @ X3) @ (app @ X4 @ X3 @ X2 @ Y1) @ (app @ X4 @ X3 @ X1 @ Y0)))))))))) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f323])).
% 1.84/1.87 thf(f323,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list,X4 : nat] : (($true = ((^[Y0 : nat]: ((listStar @ Y0 @ X2 @ X1) => (!! @ list @ (^[Y1 : list]: (!! @ list @ (^[Y2 : list]: ((listStar @ X3 @ Y2 @ Y1) => (listStar @ (plus @ Y0 @ X3) @ (app @ Y0 @ X3 @ X2 @ Y2) @ (app @ Y0 @ X3 @ X1 @ Y1))))))))) @ X4))) )),
% 1.84/1.87 inference(pi_clausification,[status(thm)],[f322])).
% 1.84/1.87 thf(f322,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list] : (($true = (!! @ nat @ (^[Y0 : nat]: ((listStar @ Y0 @ X2 @ X1) => (!! @ list @ (^[Y1 : list]: (!! @ list @ (^[Y2 : list]: ((listStar @ X3 @ Y2 @ Y1) => (listStar @ (plus @ Y0 @ X3) @ (app @ Y0 @ X3 @ X2 @ Y2) @ (app @ Y0 @ X3 @ X1 @ Y1)))))))))))) )),
% 1.84/1.87 inference(beta_eta_normalization,[status(thm)],[f321])).
% 1.84/1.87 thf(f321,plain,(
% 1.84/1.87 ( ! [X2 : list,X3 : nat,X1 : list] : (($true = ((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ X2 @ X1) => (!! @ list @ (^[Y2 : list]: (!! @ list @ (^[Y3 : list]: ((listStar @ Y0 @ Y3 @ Y2) => (listStar @ (plus @ Y1 @ Y0) @ (app @ Y1 @ Y0 @ X2 @ Y3) @ (app @ Y1 @ Y0 @ X1 @ Y2))))))))))) @ X3))) )),
% 1.84/1.88 inference(pi_clausification,[status(thm)],[f320])).
% 1.84/1.88 thf(f320,plain,(
% 1.84/1.88 ( ! [X2 : list,X1 : list] : (((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((listStar @ Y1 @ X2 @ X1) => (!! @ list @ (^[Y2 : list]: (!! @ list @ (^[Y3 : list]: ((listStar @ Y0 @ Y3 @ Y2) => (listStar @ (plus @ Y1 @ Y0) @ (app @ Y1 @ Y0 @ X2 @ Y3) @ (app @ Y1 @ Y0 @ X1 @ Y2)))))))))))) = $true)) )),
% 1.84/1.88 inference(beta_eta_normalization,[status(thm)],[f319])).
% 1.84/1.88 thf(f319,plain,(
% 1.84/1.88 ( ! [X2 : list,X1 : list] : (($true = ((^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: (!! @ nat @ (^[Y2 : nat]: ((listStar @ Y2 @ Y0 @ X1) => (!! @ list @ (^[Y3 : list]: (!! @ list @ (^[Y4 : list]: ((listStar @ Y1 @ Y4 @ Y3) => (listStar @ (plus @ Y2 @ Y1) @ (app @ Y2 @ Y1 @ Y0 @ Y4) @ (app @ Y2 @ Y1 @ X1 @ Y3))))))))))))) @ X2))) )),
% 1.84/1.88 inference(pi_clausification,[status(thm)],[f318])).
% 1.84/1.88 thf(f318,plain,(
% 1.84/1.88 ( ! [X1 : list] : (((!! @ list @ (^[Y0 : list]: (!! @ nat @ (^[Y1 : nat]: (!! @ nat @ (^[Y2 : nat]: ((listStar @ Y2 @ Y0 @ X1) => (!! @ list @ (^[Y3 : list]: (!! @ list @ (^[Y4 : list]: ((listStar @ Y1 @ Y4 @ Y3) => (listStar @ (plus @ Y2 @ Y1) @ (app @ Y2 @ Y1 @ Y0 @ Y4) @ (app @ Y2 @ Y1 @ X1 @ Y3)))))))))))))) = $true)) )),
% 1.84/1.88 inference(beta_eta_normalization,[status(thm)],[f317])).
% 1.84/1.88 thf(f317,plain,(
% 1.84/1.88 ( ! [X1 : list] : (($true = ((^[Y0 : list]: (!! @ list @ (^[Y1 : list]: (!! @ nat @ (^[Y2 : nat]: (!! @ nat @ (^[Y3 : nat]: ((listStar @ Y3 @ Y1 @ Y0) => (!! @ list @ (^[Y4 : list]: (!! @ list @ (^[Y5 : list]: ((listStar @ Y2 @ Y5 @ Y4) => (listStar @ (plus @ Y3 @ Y2) @ (app @ Y3 @ Y2 @ Y1 @ Y5) @ (app @ Y3 @ Y2 @ Y0 @ Y4))))))))))))))) @ X1))) )),
% 1.84/1.88 inference(pi_clausification,[status(thm)],[f72])).
% 1.84/1.88 thf(f72,plain,(
% 1.84/1.88 ((!! @ list @ (^[Y0 : list]: (!! @ list @ (^[Y1 : list]: (!! @ nat @ (^[Y2 : nat]: (!! @ nat @ (^[Y3 : nat]: ((listStar @ Y3 @ Y1 @ Y0) => (!! @ list @ (^[Y4 : list]: (!! @ list @ (^[Y5 : list]: ((listStar @ Y2 @ Y5 @ Y4) => (listStar @ (plus @ Y3 @ Y2) @ (app @ Y3 @ Y2 @ Y1 @ Y5) @ (app @ Y3 @ Y2 @ Y0 @ Y4)))))))))))))))) = $true)),
% 1.84/1.88 inference(cnf_transformation,[status(thm)],[f52])).
% 1.84/1.88 thf(f52,plain,(
% 1.84/1.88 ((!! @ list @ (^[Y0 : list]: (!! @ list @ (^[Y1 : list]: (!! @ nat @ (^[Y2 : nat]: (!! @ nat @ (^[Y3 : nat]: ((listStar @ Y3 @ Y1 @ Y0) => (!! @ list @ (^[Y4 : list]: (!! @ list @ (^[Y5 : list]: ((listStar @ Y2 @ Y5 @ Y4) => (listStar @ (plus @ Y3 @ Y2) @ (app @ Y3 @ Y2 @ Y1 @ Y5) @ (app @ Y3 @ Y2 @ Y0 @ Y4)))))))))))))))) = $true)),
% 1.84/1.88 inference(fool_elimination,[status(thm)],[f51])).
% 1.84/1.88 thf(f51,plain,(
% 1.84/1.88 ! [X0 : nat,X1 : nat,X2 : list,X3 : list] : ((listStar @ X0 @ X2 @ X3) => ! [X4 : list,X5 : list] : ((listStar @ X1 @ X4 @ X5) => (listStar @ (plus @ X0 @ X1) @ (app @ X0 @ X1 @ X2 @ X4) @ (app @ X0 @ X1 @ X3 @ X5))))),
% 1.84/1.88 inference(rectify,[status(thm)],[f7])).
% 1.84/1.88 thf(f7,axiom,(
% 1.84/1.88 ! [X6 : nat,X10 : nat,X7 : list,X11 : list] : ((listStar @ X6 @ X7 @ X11) => ! [X8 : list,X9 : list] : ((listStar @ X10 @ X8 @ X9) => (listStar @ (plus @ X6 @ X10) @ (app @ X6 @ X10 @ X7 @ X8) @ (app @ X6 @ X10 @ X11 @ X9))))),
% 1.84/1.88 file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',app_tp_ax)).
% 1.84/1.88 thf(f62,plain,(
% 1.84/1.88 ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $true)),
% 1.84/1.88 inference(cnf_transformation,[status(thm)],[f50])).
% 1.84/1.88 thf(f50,plain,(
% 1.84/1.88 ((listStar @ zero @ (rev @ zero @ nil) @ nil) = $true)),
% 1.84/1.88 inference(fool_elimination,[status(thm)],[f49])).
% 1.84/1.88 thf(f49,plain,(
% 1.84/1.88 (listStar @ zero @ (rev @ zero @ nil) @ nil)),
% 1.84/1.88 inference(rectify,[status(thm)],[f15])).
% 1.84/1.88 thf(f15,axiom,(
% 1.84/1.88 (listStar @ zero @ (rev @ zero @ nil) @ nil)),
% 1.84/1.88 file('/export/starexec/sandbox/tmp/tmp.HECfKYRQ1l/DTF2THF_8723.p',ax5)).
% 1.84/1.88 % SZS output end Proof for DTF2THF_8723
% 1.84/1.88 % (9115)------------------------------
% 1.84/1.88 % (9115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.84/1.88 % (9115)Termination reason: Refutation
% 1.84/1.88
% 1.84/1.88 % (9115)Memory used [KB]: 6268
% 1.84/1.88 % (9115)Time elapsed: 0.070 s
% 1.84/1.88 % (9115)Instructions burned: 210 (million)
% 1.84/1.88 % (9115)------------------------------
% 1.84/1.88 % (9115)------------------------------
% 1.84/1.88 % (9059)Success in time 0.513 s
%------------------------------------------------------------------------------