%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV242^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n026.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 09:40:38 AM UTC 2026
% Result : Theorem 1.69s 1.81s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 1
% Syntax : Number of formulae : 65 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 633 ( 208 equ; 0 cnn)
% Maximal formula atoms : 4 ( 9 avg)
% Number of connectives : 518 ( 10 ~; 123 |; 29 &; 282 @)
% ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 140 ( 140 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 5 con; 0-2 aty)
% ( 27 !!; 19 ??; 0 @@+; 0 @@-)
% Number of variables : 127 ( 86 ^; 38 !; 3 ?; 127 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_17,type,
sK0: $i > $o ).
thf(func_def_18,type,
sK1: $i > $o ).
thf(func_def_19,type,
sK2: ( $i > $o ) > $o ).
thf(func_def_20,type,
sK3: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_21,type,
ph4:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
sK6: $i > $o ).
thf(f205,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f204]) ).
thf(f204,plain,
$false = $true,
inference(forward_demodulation,[status(thm)],[f203,f101]) ).
thf(f101,plain,
( $false
= ( sK1 @ sK5 ) ),
inference(duplicate_literal_removal,[status(thm)],[f100]) ).
thf(f100,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(equality_resolution,[status(thm)],[f85]) ).
thf(f85,plain,
! [X1: $i > $o] :
( ( sK1 != X1 )
| ( $false
= ( X1 @ sK5 ) )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f82]) ).
thf(f82,plain,
! [X1: $i > $o] :
( ( $false
= ( sK1 = X1 ) )
| ( $false
= ( X1 @ sK5 ) )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f81]) ).
thf(f81,plain,
! [X1: $i > $o] :
( ( $false
= ( X1 @ sK5 ) )
| ( ( ( sK0 = X1 )
| ( sK1 = X1 ) )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f80]) ).
thf(f80,plain,
! [X1: $i > $o] :
( ( $false
= ( sK1 @ sK5 ) )
| ( $false
= ( ( ( sK0 = X1 )
| ( sK1 = X1 ) )
& ( X1 @ sK5 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f79]) ).
thf(f79,plain,
! [X1: $i > $o] :
( ( ( ^ [Y0: $i > $o] :
( ( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
& ( Y0 @ sK5 ) )
@ X1 )
= $false )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(pi_clausification,[status(thm)],[f78]) ).
thf(f78,plain,
( ( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
& ( Y0 @ sK5 ) ) ) )
| ( $false
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f68]) ).
thf(f68,plain,
( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
= $false )
| ( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
& ( Y0 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f66]) ).
thf(f66,plain,
( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
!= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
& ( Y0 @ sK5 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f65]) ).
thf(f65,plain,
( ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) )
@ sK5 )
!= ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( sK0 = Y1 )
| ( sK1 = Y1 ) )
& ( Y1 @ Y0 ) ) )
@ sK5 ) ),
inference(negative_extensionality,[status(thm)],[f60]) ).
thf(f60,plain,
( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( sK0 = Y1 )
| ( sK1 = Y1 ) )
& ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f55]) ).
thf(f55,plain,
( ( $false = $true )
| ( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( sK0 = Y1 )
| ( sK1 = Y1 ) )
& ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) ) ) ) ),
inference(constrained_superposition,[status(thm)],[f17,f16]) ).
thf(f16,plain,
( ( sK2
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
( ( ( sK2
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( sK0 = Y1 )
| ( sK1 = Y1 ) )
& ( Y1 @ Y0 ) ) ) )
=> ( sK2
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
| ( sK0 @ Y0 ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f14]) ).
thf(f14,plain,
( ( ^ [Y0: ( $i > $o ) > $o] :
( ( Y0
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( ( sK0 = Y2 )
| ( sK1 = Y2 ) )
& ( Y2 @ Y1 ) ) ) )
=> ( Y0
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
| ( sK0 @ Y1 ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( ( Y0
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( ( sK0 = Y2 )
| ( sK1 = Y2 ) )
& ( Y2 @ Y1 ) ) ) )
=> ( Y0
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
| ( sK0 @ Y1 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f12]) ).
thf(f12,plain,
( $false
= ( ^ [Y0: $i > $o] :
( !! @ ( ( $i > $o ) > $o )
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y1
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( ( sK0 = Y3 )
| ( Y0 = Y3 ) )
& ( Y3 @ Y2 ) ) ) )
=> ( Y1
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ( sK0 @ Y2 ) ) ) ) )
@ sK1 ) ),
inference(sigma_clausification,[status(thm)],[f11]) ).
thf(f11,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( ( $i > $o ) > $o )
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y1
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( ( sK0 = Y3 )
| ( Y0 = Y3 ) )
& ( Y3 @ Y2 ) ) ) )
=> ( Y1
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ( sK0 @ Y2 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f10]) ).
thf(f10,plain,
( $false
= ( ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y2
@ ^ [Y3: $i] :
( ?? @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ( ( Y0 = Y4 )
| ( Y1 = Y4 ) )
& ( Y4 @ Y3 ) ) ) )
=> ( Y2
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ( Y0 @ Y3 ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y2
@ ^ [Y3: $i] :
( ?? @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ( ( Y0 = Y4 )
| ( Y1 = Y4 ) )
& ( Y4 @ Y3 ) ) ) )
=> ( Y2
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ( Y0 @ Y3 ) ) ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) )
=> ( Y1 = Y0 ) ) ) )
=> ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y2
@ ^ [Y3: $i] :
( ?? @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ( ( Y0 = Y4 )
| ( Y1 = Y4 ) )
& ( Y4 @ Y3 ) ) ) )
=> ( Y2
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ( Y0 @ Y3 ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) )
=> ( Y1 = Y0 ) ) ) )
=> ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y2
@ ^ [Y3: $i] :
( ?? @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ( ( Y0 = Y4 )
| ( Y1 = Y4 ) )
& ( Y4 @ Y3 ) ) ) )
=> ( Y2
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ( Y0 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
= ( Y0 @ Y2 ) ) )
=> ( Y1 = Y0 ) ) ) )
=> ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y2
@ ^ [Y3: $i] :
( ?? @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ( ( Y0 = Y4 )
| ( Y1 = Y4 ) )
& ( Y4 @ Y3 ) ) ) )
=> ( Y2
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ( Y0 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i] :
( ( X0 @ X2 )
<=> ( X1 @ X2 ) )
=> ( X0 = X1 ) )
=> ! [X3: ( $i > $o ) > $o,X4: $i > $o,X5: $i > $o] :
( ( X3
@ ^ [X6: $i] :
? [X7: $i > $o] :
( ( X7 @ X6 )
& ( ( X4 = X7 )
| ( X5 = X7 ) ) ) )
=> ( X3
@ ^ [X8: $i] :
( ( X5 @ X8 )
| ( X4 @ X8 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i] :
( ( X0 @ X2 )
<=> ( X1 @ X2 ) )
=> ( X0 = X1 ) )
=> ! [X3: ( $i > $o ) > $o,X4: $i > $o,X5: $i > $o] :
( ( X3
@ ^ [X6: $i] :
? [X7: $i > $o] :
( ( X7 @ X6 )
& ( ( X4 = X7 )
| ( X5 = X7 ) ) ) )
=> ( X3
@ ^ [X8: $i] :
( ( X5 @ X8 )
| ( X4 @ X8 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: $i > $o,X1: $i > $o] :
( ! [X2: $i] :
( ( X0 @ X2 )
<=> ( X1 @ X2 ) )
=> ( X0 = X1 ) )
=> ! [X3: ( $i > $o ) > $o,X4: $i > $o,X5: $i > $o] :
( ( X3
@ ^ [X6: $i] :
? [X7: $i > $o] :
( ( X7 @ X6 )
& ( ( X4 = X7 )
| ( X5 = X7 ) ) ) )
=> ( X3
@ ^ [X8: $i] :
( ( X5 @ X8 )
| ( X4 @ X8 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.kpXF9gMebs/DTF2THF_25954.p',cTHM4A_pme) ).
thf(f17,plain,
( ( sK2
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( sK0 = Y1 )
| ( sK1 = Y1 ) )
& ( Y1 @ Y0 ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f15]) ).
thf(f203,plain,
( $true
= ( sK1 @ sK5 ) ),
inference(trivial_inequality_removal,[status(thm)],[f198]) ).
thf(f198,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f124,f195]) ).
thf(f195,plain,
! [X0: $i] :
( ( ( sK6 @ X0 )
= $false )
| ( ( sK1 @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f194]) ).
thf(f194,plain,
! [X0: $i] :
( ( ( sK1 @ X0 )
= $true )
| ( ( sK6 @ X0 )
= $false )
| ( $false = $true ) ),
inference(forward_demodulation,[status(thm)],[f191,f119]) ).
thf(f119,plain,
( ( sK0 @ sK5 )
= $false ),
inference(duplicate_literal_removal,[status(thm)],[f118]) ).
thf(f118,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(equality_resolution,[status(thm)],[f91]) ).
thf(f91,plain,
! [X1: $i > $o] :
( ( sK0 != X1 )
| ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( X1 @ sK5 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f90]) ).
thf(f90,plain,
! [X1: $i > $o] :
( ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( X1 @ sK5 ) )
| ( ( sK0 = X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f88]) ).
thf(f88,plain,
! [X1: $i > $o] :
( ( ( ( sK0 = X1 )
| ( sK1 = X1 ) )
= $false )
| ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( X1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f87]) ).
thf(f87,plain,
! [X1: $i > $o] :
( ( $false
= ( ( ( sK0 = X1 )
| ( sK1 = X1 ) )
& ( X1 @ sK5 ) ) )
| ( ( sK0 @ sK5 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f86]) ).
thf(f86,plain,
! [X1: $i > $o] :
( ( ( sK0 @ sK5 )
= $false )
| ( ( ^ [Y0: $i > $o] :
( ( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
& ( Y0 @ sK5 ) )
@ X1 )
= $false ) ),
inference(pi_clausification,[status(thm)],[f77]) ).
thf(f77,plain,
( ( ( sK0 @ sK5 )
= $false )
| ( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
& ( Y0 @ sK5 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f68]) ).
thf(f191,plain,
! [X0: $i] :
( ( ( sK0 @ sK5 )
= $true )
| ( ( sK1 @ X0 )
= $true )
| ( ( sK6 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f184]) ).
thf(f184,plain,
! [X0: $i] :
( ( ( sK0 @ sK5 )
= $true )
| ( $false = $true )
| ( ( sK1 @ X0 )
= $true )
| ( ( sK6 @ X0 )
= $false ) ),
inference(superposition,[status(thm)],[f158,f124]) ).
thf(f158,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK6 @ X1 ) )
| ( ( sK0 @ X1 )
= $true )
| ( ( sK1 @ X2 )
= $true )
| ( ( sK6 @ X2 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f152]) ).
thf(f152,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK6 @ X1 ) )
| ( ( sK0 @ X1 )
= $true )
| ( ( sK1 @ X2 )
= ( sK6 @ X2 ) ) ),
inference(argument_congruence,[status(thm)],[f144]) ).
thf(f144,plain,
! [X1: $i] :
( ( sK1 = sK6 )
| ( ( sK0 @ X1 )
= $true )
| ( $false
= ( sK6 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f138]) ).
thf(f138,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= ( sK6 @ X1 ) )
| ( sK1 = sK6 ) ),
inference(argument_congruence,[status(thm)],[f125]) ).
thf(f125,plain,
( ( sK6 = sK0 )
| ( sK1 = sK6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f121]) ).
thf(f121,plain,
( ( sK1 = sK6 )
| ( $false = $true )
| ( sK6 = sK0 ) ),
inference(backward_demodulation,[status(thm)],[f105,f119]) ).
thf(f105,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( sK6 = sK0 )
| ( sK1 = sK6 ) ),
inference(trivial_inequality_removal,[status(thm)],[f102]) ).
thf(f102,plain,
( ( sK6 = sK0 )
| ( ( sK0 @ sK5 )
= $true )
| ( sK1 = sK6 )
| ( $false = $true ) ),
inference(backward_demodulation,[status(thm)],[f76,f101]) ).
thf(f76,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( sK1 = sK6 )
| ( sK6 = sK0 ) ),
inference(equality_proxy_clausification,[status(thm)],[f75]) ).
thf(f75,plain,
( ( ( sK0 = sK6 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( sK1 = sK6 )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(equality_proxy_clausification,[status(thm)],[f74]) ).
thf(f74,plain,
( ( ( sK1 = sK6 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK0 = sK6 )
= $true )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f73]) ).
thf(f73,plain,
( ( ( ( sK0 = sK6 )
| ( sK1 = sK6 ) )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f71]) ).
thf(f71,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( ( ( sK0 = sK6 )
| ( sK1 = sK6 ) )
& ( sK6 @ sK5 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f70]) ).
thf(f70,plain,
( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
= $true )
| ( $true
= ( ( ( sK0 = sK6 )
| ( sK1 = sK6 ) )
& ( sK6 @ sK5 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f69]) ).
thf(f69,plain,
( ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
= $true )
| ( ( ^ [Y0: $i > $o] :
( ( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
& ( Y0 @ sK5 ) )
@ sK6 )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f67]) ).
thf(f67,plain,
( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( sK0 = Y0 )
| ( sK1 = Y0 ) )
& ( Y0 @ sK5 ) ) )
= $true )
| ( ( ( sK1 @ sK5 )
| ( sK0 @ sK5 ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f66]) ).
thf(f124,plain,
( $true
= ( sK6 @ sK5 ) ),
inference(trivial_inequality_removal,[status(thm)],[f120]) ).
thf(f120,plain,
( ( $false = $true )
| ( $true
= ( sK6 @ sK5 ) ) ),
inference(backward_demodulation,[status(thm)],[f104,f119]) ).
thf(f104,plain,
( ( $true
= ( sK6 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f103]) ).
thf(f103,plain,
( ( $false = $true )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( sK6 @ sK5 ) ) ),
inference(backward_demodulation,[status(thm)],[f72,f101]) ).
thf(f72,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( $true
= ( sK6 @ sK5 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV242^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n026.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 12:42:55 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.46 ---- Original DTF file ---
% 0.18/0.46 thf(spec,logic,$$dhol).
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 % File : SEV242^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.46 % Domain : Set Theory (Sets of sets)
% 0.18/0.46 % Problem : TPS problem from SETS-OF-SETS-THMS
% 0.18/0.46 % Version : Especial.
% 0.18/0.46 % English :
% 0.18/0.46
% 0.18/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.46 % Source : [Bro09]
% 0.18/0.46 % Names : tps_0919 [Bro09]
% 0.18/0.46
% 0.18/0.46 % Status : Theorem
% 0.18/0.46 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.23 v8.1.0, 0.27 v7.5.0, 0.29 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.57 v5.5.0, 0.50 v5.4.0, 0.80 v4.1.0, 1.00 v4.0.1, 0.67 v4.0.0
% 0.18/0.46 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.18/0.46 % Number of atoms : 3 ( 3 equ; 0 cnn)
% 0.18/0.46 % Maximal formula atoms : 3 ( 3 avg)
% 0.18/0.46 % Number of connectives : 14 ( 0 ~; 2 |; 1 &; 7 @)
% 0.18/0.46 % ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% 0.18/0.46 % Maximal formula depth : 11 ( 11 avg)
% 0.18/0.46 % Number of types : 2 ( 0 usr)
% 0.18/0.46 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.18/0.46 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.18/0.46 % Number of variables : 9 ( 2 ^; 6 !; 1 ?; 9 :)
% 0.18/0.46 % SPC : TH0_THM_EQU_NAR
% 0.18/0.46
% 0.18/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 thf(cTHM4A_pme,conjecture,
% 0.18/0.46 ( ! [P: $i > $o,Q: $i > $o] :
% 0.18/0.46 ( ! [X: $i] :
% 0.18/0.46 ( ( P @ X )
% 0.18/0.46 <=> ( Q @ X ) )
% 0.18/0.46 => ( P = Q ) )
% 0.18/0.46 => ! [T: ( $i > $o ) > $o,U: $i > $o,V: $i > $o] :
% 0.18/0.46 ( ( T
% 0.18/0.46 @ ^ [Xx: $i] :
% 0.18/0.46 ? [S: $i > $o] :
% 0.18/0.46 ( ( ( S = U )
% 0.18/0.46 | ( S = V ) )
% 0.18/0.46 & ( S @ Xx ) ) )
% 0.18/0.46 => ( T
% 0.18/0.46 @ ^ [Xz: $i] :
% 0.18/0.46 ( ( U @ Xz )
% 0.18/0.46 | ( V @ Xz ) ) ) ) ) ).
% 0.18/0.46
% 0.18/0.46 %------------------------------------------------------------------------------
% 0.18/0.46 ------------------------
% 1.66/1.40 ---- Embedded in THF ---
% 1.66/1.40 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.66/1.40 %%% Generated on Tue Feb 24 12:42:56 EST 2026
% 1.66/1.40 %%% using '$$dhol' embedding, version 1.3.0.
% 1.66/1.40 %%% Logic specification used:
% 1.66/1.40 %%% thf(spec, logic, $$dhol).
% 1.66/1.40
% 1.66/1.40 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.kpXF9gMebs/DTF2DTF25954.p
% See solution above
% 1.66/1.40 ------------------------
% 1.66/1.41 ---- Cleaned THF ---
% 1.66/1.41 thf(cTHM4A_pme,conjecture,
% 1.66/1.41 ( ! [P: $i > $o,Q: $i > $o] :
% 1.66/1.41 ( ! [X: $i] :
% 1.66/1.41 ( ( P @ X )
% 1.66/1.41 <=> ( Q @ X ) )
% 1.66/1.41 => ( P = Q ) )
% 1.66/1.41 => ! [T: ( $i > $o ) > $o,U: $i > $o,V: $i > $o] :
% 1.66/1.41 ( ( T
% 1.66/1.41 @ ^ [Xx: $i] :
% 1.66/1.41 ? [S: $i > $o] :
% 1.66/1.41 ( ( ( S = U )
% 1.66/1.41 | ( S = V ) )
% 1.66/1.41 & ( S @ Xx ) ) )
% 1.66/1.41 => ( T
% 1.66/1.41 @ ^ [Xz: $i] :
% 1.66/1.41 ( ( U @ Xz )
% 1.66/1.41 | ( V @ Xz ) ) ) ) ) ).
% 1.66/1.41 ------------------------
% 1.66/1.43 % (26119)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_25954 for (3000ds/2Mi)
% 1.66/1.43 % (26120)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_25954 for (3000ds/2Mi)
% 1.66/1.43 % (26117)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_25954 for (3000ds/4Mi)
% 1.66/1.43 % (26121)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_25954 for (3000ds/275Mi)
% 1.66/1.43 % (26116)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_25954 for (3000ds/183Mi)
% 1.66/1.43 % (26118)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_25954 for (3000ds/27Mi)
% 1.66/1.43 % (26122)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_25954 for (3000ds/18Mi)
% 1.66/1.43 % (26120)Instruction limit reached!
% 1.66/1.43 % (26120)------------------------------
% 1.66/1.43 % (26120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.43 % (26120)Termination reason: Unknown
% 1.66/1.43 % (26120)Termination phase: Property scanning
% 1.66/1.43
% 1.66/1.43 % (26120)Memory used [KB]: 895
% 1.66/1.43 % (26120)Time elapsed: 0.002 s
% 1.66/1.43 % (26120)Instructions burned: 2 (million)
% 1.66/1.43 % (26120)------------------------------
% 1.66/1.43 % (26120)------------------------------
% 1.66/1.43 % (26119)Instruction limit reached!
% 1.66/1.43 % (26119)------------------------------
% 1.66/1.43 % (26119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.43 % (26119)Termination reason: Unknown
% 1.66/1.43 % (26119)Termination phase: Saturation
% 1.66/1.43
% 1.66/1.43 % (26119)Memory used [KB]: 5500
% 1.66/1.43 % (26119)Time elapsed: 0.003 s
% 1.66/1.43 % (26119)Instructions burned: 2 (million)
% 1.66/1.43 % (26119)------------------------------
% 1.66/1.43 % (26119)------------------------------
% 1.66/1.43 % (26118)Refutation not found, incomplete strategy
% 1.66/1.43 % (26118)------------------------------
% 1.66/1.43 % (26118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.43 % (26118)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.43
% 1.66/1.43
% 1.66/1.43 % (26118)Memory used [KB]: 5500
% 1.66/1.43 % (26118)Time elapsed: 0.003 s
% 1.66/1.43 % (26118)Instructions burned: 2 (million)
% 1.66/1.43 % (26118)------------------------------
% 1.66/1.43 % (26118)------------------------------
% 1.66/1.44 % (26117)Instruction limit reached!
% 1.66/1.44 % (26117)------------------------------
% 1.66/1.44 % (26117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.44 % (26117)Termination reason: Unknown
% 1.66/1.44 % (26117)Termination phase: Saturation
% 1.66/1.44
% 1.66/1.44 % (26117)Memory used [KB]: 5500
% 1.66/1.44 % (26117)Time elapsed: 0.004 s
% 1.66/1.44 % (26117)Instructions burned: 4 (million)
% 1.66/1.44 % (26117)------------------------------
% 1.66/1.44 % (26117)------------------------------
% 1.66/1.44 % (26121)Refutation not found, incomplete strategy
% 1.66/1.44 % (26121)------------------------------
% 1.66/1.44 % (26121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.44 % (26121)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.44
% 1.66/1.44
% 1.66/1.44 % (26121)Memory used [KB]: 5500
% 1.66/1.44 % (26121)Time elapsed: 0.008 s
% 1.66/1.44 % (26121)Instructions burned: 12 (million)
% 1.66/1.44 % (26121)------------------------------
% 1.66/1.44 % (26121)------------------------------
% 1.66/1.44 % (26122)Instruction limit reached!
% 1.66/1.44 % (26122)------------------------------
% 1.66/1.44 % (26122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.44 % (26122)Termination reason: Unknown
% 1.66/1.44 % (26122)Termination phase: Saturation
% 1.66/1.44
% 1.66/1.44 % (26122)Memory used [KB]: 5500
% 1.66/1.44 % (26122)Time elapsed: 0.011 s
% 1.66/1.44 % (26122)Instructions burned: 19 (million)
% 1.66/1.44 % (26122)------------------------------
% 1.66/1.44 % (26122)------------------------------
% 1.66/1.45 % (26123)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/3Mi)
% 1.66/1.45 % (26124)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_25954 for (2999ds/37Mi)
% 1.66/1.45 % (26125)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_25954 for (2999ds/15Mi)
% 1.66/1.45 % (26126)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_25954 for (2999ds/3Mi)
% 1.66/1.45 % (26123)Instruction limit reached!
% 1.66/1.45 % (26123)------------------------------
% 1.66/1.45 % (26123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.45 % (26123)Termination reason: Unknown
% 1.66/1.45 % (26123)Termination phase: Saturation
% 1.66/1.45
% 1.66/1.45 % (26123)Memory used [KB]: 5500
% 1.66/1.45 % (26123)Time elapsed: 0.004 s
% 1.66/1.45 % (26123)Instructions burned: 4 (million)
% 1.66/1.45 % (26123)------------------------------
% 1.66/1.45 % (26123)------------------------------
% 1.66/1.45 % (26126)Instruction limit reached!
% 1.66/1.45 % (26126)------------------------------
% 1.66/1.45 % (26126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.45 % (26126)Termination reason: Unknown
% 1.66/1.45 % (26126)Termination phase: Saturation
% 1.66/1.45
% 1.66/1.45 % (26126)Memory used [KB]: 5500
% 1.66/1.45 % (26126)Time elapsed: 0.003 s
% 1.66/1.45 % (26126)Instructions burned: 3 (million)
% 1.66/1.45 % (26126)------------------------------
% 1.66/1.45 % (26126)------------------------------
% 1.66/1.46 % (26127)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_25954 for (2999ds/1041Mi)
% 1.66/1.46 % (26128)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/7Mi)
% 1.66/1.46 % (26125)Instruction limit reached!
% 1.66/1.46 % (26125)------------------------------
% 1.66/1.46 % (26125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (26125)Termination reason: Unknown
% 1.66/1.46 % (26125)Termination phase: Saturation
% 1.66/1.46
% 1.66/1.46 % (26125)Memory used [KB]: 5628
% 1.66/1.46 % (26125)Time elapsed: 0.010 s
% 1.66/1.46 % (26125)Instructions burned: 16 (million)
% 1.66/1.46 % (26125)------------------------------
% 1.66/1.46 % (26125)------------------------------
% 1.66/1.46 % (26128)Instruction limit reached!
% 1.66/1.46 % (26128)------------------------------
% 1.66/1.46 % (26128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (26128)Termination reason: Unknown
% 1.66/1.46 % (26128)Termination phase: Saturation
% 1.66/1.46
% 1.66/1.46 % (26128)Memory used [KB]: 1023
% 1.66/1.46 % (26128)Time elapsed: 0.006 s
% 1.66/1.46 % (26128)Instructions burned: 8 (million)
% 1.66/1.46 % (26128)------------------------------
% 1.66/1.46 % (26128)------------------------------
% 1.66/1.47 % (26124)Instruction limit reached!
% 1.66/1.47 % (26124)------------------------------
% 1.66/1.47 % (26124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.47 % (26124)Termination reason: Unknown
% 1.66/1.47 % (26124)Termination phase: Saturation
% 1.66/1.47
% 1.66/1.47 % (26124)Memory used [KB]: 6140
% 1.66/1.47 % (26124)Time elapsed: 0.019 s
% 1.66/1.47 % (26124)Instructions burned: 38 (million)
% 1.66/1.47 % (26124)------------------------------
% 1.66/1.47 % (26124)------------------------------
% 1.66/1.47 % (26129)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/16Mi)
% 1.66/1.47 % (26130)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_25954 for (2999ds/3Mi)
% 1.66/1.47 % (26130)Instruction limit reached!
% 1.66/1.47 % (26130)------------------------------
% 1.66/1.47 % (26130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.47 % (26130)Termination reason: Unknown
% 1.66/1.47 % (26130)Termination phase: Saturation
% 1.66/1.47
% 1.66/1.47 % (26130)Memory used [KB]: 5500
% 1.66/1.47 % (26130)Time elapsed: 0.003 s
% 1.66/1.47 % (26130)Instructions burned: 3 (million)
% 1.66/1.47 % (26130)------------------------------
% 1.66/1.47 % (26130)------------------------------
% 1.66/1.48 % (26131)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_25954 for (2999ds/3Mi)
% 1.66/1.48 % (26131)Instruction limit reached!
% 1.66/1.48 % (26131)------------------------------
% 1.66/1.48 % (26131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.48 % (26131)Termination reason: Unknown
% 1.66/1.48 % (26131)Termination phase: Saturation
% 1.66/1.48
% 1.66/1.48 % (26131)Memory used [KB]: 1023
% 1.66/1.48 % (26131)Time elapsed: 0.003 s
% 1.66/1.48 % (26131)Instructions burned: 3 (million)
% 1.66/1.48 % (26131)------------------------------
% 1.66/1.48 % (26131)------------------------------
% 1.66/1.48 % (26129)Instruction limit reached!
% 1.66/1.48 % (26129)------------------------------
% 1.66/1.48 % (26129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.48 % (26129)Termination reason: Unknown
% 1.66/1.48 % (26129)Termination phase: Saturation
% 1.66/1.48
% 1.66/1.48 % (26129)Memory used [KB]: 5756
% 1.66/1.48 % (26129)Time elapsed: 0.011 s
% 1.66/1.48 % (26129)Instructions burned: 17 (million)
% 1.66/1.48 % (26129)------------------------------
% 1.66/1.48 % (26129)------------------------------
% 1.66/1.48 % (26132)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/7Mi)
% 1.66/1.48 % (26132)Refutation not found, incomplete strategy
% 1.66/1.48 % (26132)------------------------------
% 1.66/1.48 % (26132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.48 % (26132)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.48
% 1.66/1.48
% 1.66/1.48 % (26132)Memory used [KB]: 5500
% 1.66/1.48 % (26132)Time elapsed: 0.003 s
% 1.66/1.48 % (26132)Instructions burned: 1 (million)
% 1.66/1.48 % (26132)------------------------------
% 1.66/1.48 % (26132)------------------------------
% 1.66/1.48 % (26133)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/3Mi)
% 1.66/1.49 % (26133)Instruction limit reached!
% 1.66/1.49 % (26133)------------------------------
% 1.66/1.49 % (26133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.49 % (26133)Termination reason: Unknown
% 1.66/1.49 % (26133)Termination phase: Saturation
% 1.66/1.49
% 1.66/1.49 % (26133)Memory used [KB]: 5500
% 1.66/1.49 % (26133)Time elapsed: 0.003 s
% 1.66/1.49 % (26133)Instructions burned: 3 (million)
% 1.66/1.49 % (26133)------------------------------
% 1.66/1.49 % (26133)------------------------------
% 1.66/1.49 % (26134)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/4Mi)
% 1.66/1.49 % (26134)Instruction limit reached!
% 1.66/1.49 % (26134)------------------------------
% 1.66/1.49 % (26134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.49 % (26134)Termination reason: Unknown
% 1.66/1.49 % (26134)Termination phase: Saturation
% 1.66/1.49
% 1.66/1.49 % (26134)Memory used [KB]: 5500
% 1.66/1.49 % (26134)Time elapsed: 0.004 s
% 1.66/1.49 % (26134)Instructions burned: 5 (million)
% 1.66/1.49 % (26134)------------------------------
% 1.66/1.49 % (26134)------------------------------
% 1.66/1.49 % (26135)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/18Mi)
% 1.66/1.49 % (26136)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/710Mi)
% 1.66/1.49 % (26135)Refutation not found, incomplete strategy
% 1.66/1.49 % (26135)------------------------------
% 1.66/1.49 % (26135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.49 % (26135)Termination reason: Refutation not found, incomplete strategy
% 1.66/1.49
% 1.66/1.49
% 1.66/1.49 % (26135)Memory used [KB]: 5500
% 1.66/1.49 % (26135)Time elapsed: 0.003 s
% 1.66/1.49 % (26135)Instructions burned: 3 (million)
% 1.66/1.49 % (26135)------------------------------
% 1.66/1.49 % (26135)------------------------------
% 1.69/1.50 % (26137)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/6Mi)
% 1.69/1.50 % (26137)Instruction limit reached!
% 1.69/1.50 % (26137)------------------------------
% 1.69/1.50 % (26137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.50 % (26137)Termination reason: Unknown
% 1.69/1.50 % (26137)Termination phase: Saturation
% 1.69/1.50
% 1.69/1.50 % (26137)Memory used [KB]: 5500
% 1.69/1.50 % (26137)Time elapsed: 0.005 s
% 1.69/1.50 % (26137)Instructions burned: 6 (million)
% 1.69/1.50 % (26137)------------------------------
% 1.69/1.50 % (26137)------------------------------
% 1.69/1.50 % (26138)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_25954 for (2999ds/902Mi)
% 1.69/1.50 % (26139)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_25954 for (2999ds/21Mi)
% 1.69/1.51 % (26140)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/5Mi)
% 1.69/1.51 % (26140)Instruction limit reached!
% 1.69/1.51 % (26140)------------------------------
% 1.69/1.51 % (26140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.51 % (26140)Termination reason: Unknown
% 1.69/1.51 % (26140)Termination phase: Saturation
% 1.69/1.51
% 1.69/1.51 % (26140)Memory used [KB]: 5500
% 1.69/1.51 % (26140)Time elapsed: 0.004 s
% 1.69/1.51 % (26140)Instructions burned: 5 (million)
% 1.69/1.51 % (26140)------------------------------
% 1.69/1.51 % (26140)------------------------------
% 1.69/1.52 % (26139)Instruction limit reached!
% 1.69/1.52 % (26139)------------------------------
% 1.69/1.52 % (26139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.52 % (26139)Termination reason: Unknown
% 1.69/1.52 % (26139)Termination phase: Saturation
% 1.69/1.52
% 1.69/1.52 % (26139)Memory used [KB]: 5628
% 1.69/1.52 % (26139)Time elapsed: 0.013 s
% 1.69/1.52 % (26139)Instructions burned: 21 (million)
% 1.69/1.52 % (26139)------------------------------
% 1.69/1.52 % (26139)------------------------------
% 1.69/1.52 % (26141)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_25954 for (2999ds/6Mi)
% 1.69/1.52 % (26116)Instruction limit reached!
% 1.69/1.52 % (26116)------------------------------
% 1.69/1.52 % (26116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.52 % (26116)Termination reason: Unknown
% 1.69/1.52 % (26116)Termination phase: Saturation
% 1.69/1.52
% 1.69/1.52 % (26116)Memory used [KB]: 6524
% 1.69/1.52 % (26116)Time elapsed: 0.088 s
% 1.69/1.52 % (26116)Instructions burned: 183 (million)
% 1.69/1.52 % (26116)------------------------------
% 1.69/1.52 % (26116)------------------------------
% 1.69/1.52 % (26141)Instruction limit reached!
% 1.69/1.52 % (26141)------------------------------
% 1.69/1.52 % (26141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.52 % (26141)Termination reason: Unknown
% 1.69/1.52 % (26141)Termination phase: Saturation
% 1.69/1.52
% 1.69/1.52 % (26141)Memory used [KB]: 5500
% 1.69/1.52 % (26141)Time elapsed: 0.005 s
% 1.69/1.52 % (26141)Instructions burned: 7 (million)
% 1.69/1.52 % (26141)------------------------------
% 1.69/1.52 % (26141)------------------------------
% 1.69/1.53 % (26142)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_25954 for (2999ds/377Mi)
% 1.69/1.53 % (26143)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_25954 for (2999ds/779Mi)
% 1.69/1.54 % (26144)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_25954 for (2998ds/19Mi)
% 1.69/1.54 % (26145)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_25954 for (2998ds/879Mi)
% 1.69/1.54 % (26145)Refutation not found, incomplete strategy
% 1.69/1.54 % (26145)------------------------------
% 1.69/1.54 % (26145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.54 % (26145)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.54
% 1.69/1.54
% 1.69/1.54 % (26145)Memory used [KB]: 5500
% 1.69/1.54 % (26145)Time elapsed: 0.010 s
% 1.69/1.54 % (26145)Instructions burned: 16 (million)
% 1.69/1.54 % (26145)------------------------------
% 1.69/1.54 % (26145)------------------------------
% 1.69/1.55 % (26144)Instruction limit reached!
% 1.69/1.55 % (26144)------------------------------
% 1.69/1.55 % (26144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.55 % (26144)Termination reason: Unknown
% 1.69/1.55 % (26144)Termination phase: Saturation
% 1.69/1.55
% 1.69/1.55 % (26144)Memory used [KB]: 5628
% 1.69/1.55 % (26144)Time elapsed: 0.012 s
% 1.69/1.55 % (26144)Instructions burned: 20 (million)
% 1.69/1.55 % (26144)------------------------------
% 1.69/1.55 % (26144)------------------------------
% 1.69/1.56 % (26146)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_25954 for (2998ds/17Mi)
% 1.69/1.56 % (26147)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_25954 for (2998ds/3Mi)
% 1.69/1.56 % (26147)Instruction limit reached!
% 1.69/1.56 % (26147)------------------------------
% 1.69/1.56 % (26147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.56 % (26147)Termination reason: Unknown
% 1.69/1.56 % (26147)Termination phase: Saturation
% 1.69/1.56
% 1.69/1.56 % (26147)Memory used [KB]: 1023
% 1.69/1.56 % (26147)Time elapsed: 0.003 s
% 1.69/1.56 % (26147)Instructions burned: 3 (million)
% 1.69/1.56 % (26147)------------------------------
% 1.69/1.56 % (26147)------------------------------
% 1.69/1.57 % (26146)Instruction limit reached!
% 1.69/1.57 % (26146)------------------------------
% 1.69/1.57 % (26146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.57 % (26146)Termination reason: Unknown
% 1.69/1.57 % (26146)Termination phase: Saturation
% 1.69/1.57
% 1.69/1.57 % (26146)Memory used [KB]: 5628
% 1.69/1.57 % (26146)Time elapsed: 0.011 s
% 1.69/1.57 % (26146)Instructions burned: 18 (million)
% 1.69/1.57 % (26146)------------------------------
% 1.69/1.57 % (26146)------------------------------
% 1.69/1.58 % (26148)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_25954 for (2998ds/30Mi)
% 1.69/1.58 % (26143)Refutation not found, incomplete strategy
% 1.69/1.58 % (26143)------------------------------
% 1.69/1.58 % (26143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.58 % (26143)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.58
% 1.69/1.58
% 1.69/1.58 % (26143)Memory used [KB]: 5884
% 1.69/1.58 % (26143)Time elapsed: 0.069 s
% 1.69/1.58 % (26143)Instructions burned: 98 (million)
% 1.69/1.58 % (26143)------------------------------
% 1.69/1.58 % (26143)------------------------------
% 1.69/1.59 % (26149)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_25954 for (2998ds/127Mi)
% 1.69/1.59 % (26148)Instruction limit reached!
% 1.69/1.59 % (26148)------------------------------
% 1.69/1.59 % (26148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.59 % (26148)Termination reason: Unknown
% 1.69/1.59 % (26148)Termination phase: Saturation
% 1.69/1.59
% 1.69/1.59 % (26148)Memory used [KB]: 5500
% 1.69/1.59 % (26148)Time elapsed: 0.016 s
% 1.69/1.59 % (26148)Instructions burned: 30 (million)
% 1.69/1.59 % (26148)------------------------------
% 1.69/1.59 % (26148)------------------------------
% 1.69/1.60 % (26150)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_25954 for (2998ds/100Mi)
% 1.69/1.60 % (26150)Refutation not found, incomplete strategy
% 1.69/1.60 % (26150)------------------------------
% 1.69/1.60 % (26150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.60 % (26150)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.60
% 1.69/1.60
% 1.69/1.60 % (26150)Memory used [KB]: 5500
% 1.69/1.60 % (26150)Time elapsed: 0.003 s
% 1.69/1.60 % (26150)Instructions burned: 3 (million)
% 1.69/1.60 % (26150)------------------------------
% 1.69/1.60 % (26150)------------------------------
% 1.69/1.61 % (26151)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_25954 for (2998ds/3Mi)
% 1.69/1.61 % (26151)Instruction limit reached!
% 1.69/1.61 % (26151)------------------------------
% 1.69/1.61 % (26151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.61 % (26151)Termination reason: Unknown
% 1.69/1.61 % (26151)Termination phase: Saturation
% 1.69/1.61
% 1.69/1.61 % (26151)Memory used [KB]: 5500
% 1.69/1.61 % (26151)Time elapsed: 0.003 s
% 1.69/1.61 % (26151)Instructions burned: 3 (million)
% 1.69/1.61 % (26151)------------------------------
% 1.69/1.61 % (26151)------------------------------
% 1.69/1.61 % (26152)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_25954 for (2998ds/20Mi)
% 1.69/1.63 % (26152)Instruction limit reached!
% 1.69/1.63 % (26152)------------------------------
% 1.69/1.63 % (26152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.63 % (26152)Termination reason: Unknown
% 1.69/1.63 % (26152)Termination phase: Saturation
% 1.69/1.63
% 1.69/1.63 % (26152)Memory used [KB]: 5628
% 1.69/1.63 % (26152)Time elapsed: 0.012 s
% 1.69/1.63 % (26152)Instructions burned: 20 (million)
% 1.69/1.63 % (26152)------------------------------
% 1.69/1.63 % (26152)------------------------------
% 1.69/1.63 % (26153)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_25954 for (2998ds/86Mi)
% 1.69/1.64 % (26154)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_25954 for (2997ds/107Mi)
% 1.69/1.64 % (26154)Refutation not found, incomplete strategy
% 1.69/1.64 % (26154)------------------------------
% 1.69/1.64 % (26154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.64 % (26154)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.64
% 1.69/1.64
% 1.69/1.64 % (26154)Memory used [KB]: 5500
% 1.69/1.64 % (26154)Time elapsed: 0.003 s
% 1.69/1.64 % (26154)Instructions burned: 3 (million)
% 1.69/1.64 % (26154)------------------------------
% 1.69/1.64 % (26154)------------------------------
% 1.69/1.65 % (26149)Instruction limit reached!
% 1.69/1.65 % (26149)------------------------------
% 1.69/1.65 % (26149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.65 % (26149)Termination reason: Unknown
% 1.69/1.65 % (26149)Termination phase: Saturation
% 1.69/1.65
% 1.69/1.65 % (26149)Memory used [KB]: 6012
% 1.69/1.65 % (26149)Time elapsed: 0.068 s
% 1.69/1.65 % (26149)Instructions burned: 127 (million)
% 1.69/1.65 % (26149)------------------------------
% 1.69/1.65 % (26149)------------------------------
% 1.69/1.66 % (26155)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_25954 for (2997ds/39Mi)
% 1.69/1.67 % (26156)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_25954 for (2997ds/448Mi)
% 1.69/1.67 % (26153)Instruction limit reached!
% 1.69/1.67 % (26153)------------------------------
% 1.69/1.67 % (26153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.67 % (26153)Termination reason: Unknown
% 1.69/1.67 % (26153)Termination phase: Saturation
% 1.69/1.67
% 1.69/1.67 % (26153)Memory used [KB]: 6268
% 1.69/1.67 % (26153)Time elapsed: 0.048 s
% 1.69/1.67 % (26153)Instructions burned: 86 (million)
% 1.69/1.67 % (26153)------------------------------
% 1.69/1.67 % (26153)------------------------------
% 1.69/1.68 % (26155)Instruction limit reached!
% 1.69/1.68 % (26155)------------------------------
% 1.69/1.68 % (26155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.68 % (26155)Termination reason: Unknown
% 1.69/1.68 % (26155)Termination phase: Saturation
% 1.69/1.68
% 1.69/1.68 % (26155)Memory used [KB]: 6012
% 1.69/1.68 % (26155)Time elapsed: 0.021 s
% 1.69/1.68 % (26155)Instructions burned: 41 (million)
% 1.69/1.68 % (26155)------------------------------
% 1.69/1.68 % (26155)------------------------------
% 1.69/1.69 % (26157)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_25954 for (2997ds/46Mi)
% 1.69/1.69 % (26158)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_25954 for (2997ds/98Mi)
% 1.69/1.70 % (26142)Instruction limit reached!
% 1.69/1.70 % (26142)------------------------------
% 1.69/1.70 % (26142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.70 % (26142)Termination reason: Unknown
% 1.69/1.70 % (26142)Termination phase: Saturation
% 1.69/1.70
% 1.69/1.70 % (26142)Memory used [KB]: 6012
% 1.69/1.70 % (26142)Time elapsed: 0.171 s
% 1.69/1.70 % (26142)Instructions burned: 378 (million)
% 1.69/1.70 % (26142)------------------------------
% 1.69/1.70 % (26142)------------------------------
% 1.69/1.70 % (26158)Refutation not found, incomplete strategy
% 1.69/1.70 % (26158)------------------------------
% 1.69/1.70 % (26158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.70 % (26158)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.70
% 1.69/1.70
% 1.69/1.70 % (26158)Memory used [KB]: 1023
% 1.69/1.70 % (26158)Time elapsed: 0.006 s
% 1.69/1.70 % (26158)Instructions burned: 8 (million)
% 1.69/1.70 % (26158)------------------------------
% 1.69/1.70 % (26158)------------------------------
% 1.69/1.71 % (26157)Instruction limit reached!
% 1.69/1.71 % (26157)------------------------------
% 1.69/1.71 % (26157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.71 % (26157)Termination reason: Unknown
% 1.69/1.71 % (26157)Termination phase: Saturation
% 1.69/1.71
% 1.69/1.71 % (26157)Memory used [KB]: 5756
% 1.69/1.71 % (26157)Time elapsed: 0.023 s
% 1.69/1.71 % (26157)Instructions burned: 47 (million)
% 1.69/1.71 % (26157)------------------------------
% 1.69/1.71 % (26157)------------------------------
% 1.69/1.72 % (26159)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_25954 for (2997ds/507Mi)
% 1.69/1.72 % (26160)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_25954 for (2997ds/149Mi)
% 1.69/1.72 % (26161)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_25954 for (2997ds/39Mi)
% 1.69/1.73 % (26161)Instruction limit reached!
% 1.69/1.73 % (26161)------------------------------
% 1.69/1.73 % (26161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.73 % (26161)Termination reason: Unknown
% 1.69/1.73 % (26161)Termination phase: Saturation
% 1.69/1.73
% 1.69/1.73 % (26161)Memory used [KB]: 5628
% 1.69/1.73 % (26161)Time elapsed: 0.013 s
% 1.69/1.73 % (26161)Instructions burned: 40 (million)
% 1.69/1.73 % (26161)------------------------------
% 1.69/1.73 % (26161)------------------------------
% 1.69/1.74 % (26162)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_25954 for (2996ds/6Mi)
% 1.69/1.74 % (26162)Instruction limit reached!
% 1.69/1.74 % (26162)------------------------------
% 1.69/1.74 % (26162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.74 % (26162)Termination reason: Unknown
% 1.69/1.74 % (26162)Termination phase: Saturation
% 1.69/1.74
% 1.69/1.74 % (26162)Memory used [KB]: 9978
% 1.69/1.74 % (26162)Time elapsed: 0.004 s
% 1.69/1.74 % (26162)Instructions burned: 8 (million)
% 1.69/1.74 % (26162)------------------------------
% 1.69/1.74 % (26162)------------------------------
% 1.69/1.75 % (26163)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_25954 for (2996ds/1087Mi)
% 1.69/1.76 % (26163)Refutation not found, incomplete strategy
% 1.69/1.76 % (26163)------------------------------
% 1.69/1.76 % (26163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.76 % (26163)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.76
% 1.69/1.76
% 1.69/1.76 % (26163)Memory used [KB]: 5500
% 1.69/1.76 % (26163)Time elapsed: 0.005 s
% 1.69/1.76 % (26163)Instructions burned: 12 (million)
% 1.69/1.76 % (26163)------------------------------
% 1.69/1.76 % (26163)------------------------------
% 1.69/1.77 % (26164)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_25954 for (2996ds/47Mi)
% 1.69/1.78 % (26164)Instruction limit reached!
% 1.69/1.78 % (26164)------------------------------
% 1.69/1.78 % (26164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.78 % (26164)Termination reason: Unknown
% 1.69/1.78 % (26164)Termination phase: Saturation
% 1.69/1.78
% 1.69/1.78 % (26164)Memory used [KB]: 5628
% 1.69/1.78 % (26164)Time elapsed: 0.015 s
% 1.69/1.78 % (26164)Instructions burned: 47 (million)
% 1.69/1.78 % (26164)------------------------------
% 1.69/1.78 % (26164)------------------------------
% 1.69/1.79 % (26160)Instruction limit reached!
% 1.69/1.79 % (26160)------------------------------
% 1.69/1.79 % (26160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.79 % (26160)Termination reason: Unknown
% 1.69/1.79 % (26160)Termination phase: Saturation
% 1.69/1.79
% 1.69/1.79 % (26160)Memory used [KB]: 6012
% 1.69/1.79 % (26160)Time elapsed: 0.077 s
% 1.69/1.79 % (26160)Instructions burned: 149 (million)
% 1.69/1.79 % (26160)------------------------------
% 1.69/1.79 % (26160)------------------------------
% 1.69/1.79 % (26165)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_25954 for (2996ds/44Mi)
% 1.69/1.80 % (26165)First to succeed.
% 1.69/1.81 % (26165)Refutation found. Thanks to Tanya!
% 1.69/1.81 % SZS status Theorem for DTF2THF_25954
% 1.69/1.81 % SZS output start Proof for DTF2THF_25954
% 1.69/1.81 thf(func_def_17, type, sK0: $i > $o).
% 1.69/1.81 thf(func_def_18, type, sK1: $i > $o).
% 1.69/1.81 thf(func_def_19, type, sK2: ($i > $o) > $o).
% 1.69/1.81 thf(func_def_20, type, sK3: ($i > $o) > ($i > $o) > $i).
% 1.69/1.81 thf(func_def_21, type, ph4: !>[X0: $tType]:(X0)).
% 1.69/1.81 thf(func_def_23, type, sK6: $i > $o).
% 1.69/1.81 thf(f205,plain,(
% 1.69/1.81 $false),
% 1.69/1.81 inference(trivial_inequality_removal,[status(thm)],[f204])).
% 1.69/1.81 thf(f204,plain,(
% 1.69/1.81 ($false = $true)),
% 1.69/1.81 inference(forward_demodulation,[status(thm)],[f203,f101])).
% 1.69/1.81 thf(f101,plain,(
% 1.69/1.81 ($false = (sK1 @ sK5))),
% 1.69/1.81 inference(duplicate_literal_removal,[status(thm)],[f100])).
% 1.69/1.81 thf(f100,plain,(
% 1.69/1.81 ($false = (sK1 @ sK5)) | ($false = (sK1 @ sK5))),
% 1.69/1.81 inference(equality_resolution,[status(thm)],[f85])).
% 1.69/1.81 thf(f85,plain,(
% 1.69/1.81 ( ! [X1 : $i > $o] : ((sK1 != X1) | ($false = (X1 @ sK5)) | ($false = (sK1 @ sK5))) )),
% 1.69/1.81 inference(equality_proxy_clausification,[status(thm)],[f82])).
% 1.69/1.81 thf(f82,plain,(
% 1.69/1.81 ( ! [X1 : $i > $o] : (($false = (sK1 = X1)) | ($false = (X1 @ sK5)) | ($false = (sK1 @ sK5))) )),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f81])).
% 1.69/1.81 thf(f81,plain,(
% 1.69/1.81 ( ! [X1 : $i > $o] : (($false = (X1 @ sK5)) | (((sK0 = X1) | (sK1 = X1)) = $false) | ($false = (sK1 @ sK5))) )),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f80])).
% 1.69/1.81 thf(f80,plain,(
% 1.69/1.81 ( ! [X1 : $i > $o] : (($false = (sK1 @ sK5)) | ($false = (((sK0 = X1) | (sK1 = X1)) & (X1 @ sK5)))) )),
% 1.69/1.81 inference(beta_eta_normalization,[status(thm)],[f79])).
% 1.69/1.81 thf(f79,plain,(
% 1.69/1.81 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: (((sK0 = Y0) | (sK1 = Y0)) & (Y0 @ sK5))) @ X1) = $false) | ($false = (sK1 @ sK5))) )),
% 1.69/1.81 inference(pi_clausification,[status(thm)],[f78])).
% 1.69/1.81 thf(f78,plain,(
% 1.69/1.81 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (((sK0 = Y0) | (sK1 = Y0)) & (Y0 @ sK5))))) | ($false = (sK1 @ sK5))),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f68])).
% 1.69/1.81 thf(f68,plain,(
% 1.69/1.81 (((sK1 @ sK5) | (sK0 @ sK5)) = $false) | ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (((sK0 = Y0) | (sK1 = Y0)) & (Y0 @ sK5)))))),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f66])).
% 1.69/1.81 thf(f66,plain,(
% 1.69/1.81 (((sK1 @ sK5) | (sK0 @ sK5)) != (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (((sK0 = Y0) | (sK1 = Y0)) & (Y0 @ sK5)))))),
% 1.69/1.81 inference(beta_eta_normalization,[status(thm)],[f65])).
% 1.69/1.81 thf(f65,plain,(
% 1.69/1.81 (((^[Y0 : $i]: ((sK1 @ Y0) | (sK0 @ Y0))) @ sK5) != ((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: (((sK0 = Y1) | (sK1 = Y1)) & (Y1 @ Y0))))) @ sK5))),
% 1.69/1.81 inference(negative_extensionality,[status(thm)],[f60])).
% 1.69/1.81 thf(f60,plain,(
% 1.69/1.81 ((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: (((sK0 = Y1) | (sK1 = Y1)) & (Y1 @ Y0))))) != (^[Y0 : $i]: ((sK1 @ Y0) | (sK0 @ Y0))))),
% 1.69/1.81 inference(trivial_inequality_removal,[status(thm)],[f55])).
% 1.69/1.81 thf(f55,plain,(
% 1.69/1.81 ($false = $true) | ((^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: (((sK0 = Y1) | (sK1 = Y1)) & (Y1 @ Y0))))) != (^[Y0 : $i]: ((sK1 @ Y0) | (sK0 @ Y0))))),
% 1.69/1.81 inference(constrained_superposition,[status(thm)],[f17,f16])).
% 1.69/1.81 thf(f16,plain,(
% 1.69/1.81 ((sK2 @ (^[Y0 : $i]: ((sK1 @ Y0) | (sK0 @ Y0)))) = $false)),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f15])).
% 1.69/1.81 thf(f15,plain,(
% 1.69/1.81 (((sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: (((sK0 = Y1) | (sK1 = Y1)) & (Y1 @ Y0)))))) => (sK2 @ (^[Y0 : $i]: ((sK1 @ Y0) | (sK0 @ Y0))))) = $false)),
% 1.69/1.81 inference(beta_eta_normalization,[status(thm)],[f14])).
% 1.69/1.81 thf(f14,plain,(
% 1.69/1.81 (((^[Y0 : ($i > $o) > $o]: ((Y0 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: (((sK0 = Y2) | (sK1 = Y2)) & (Y2 @ Y1)))))) => (Y0 @ (^[Y1 : $i]: ((sK1 @ Y1) | (sK0 @ Y1)))))) @ sK2) = $false)),
% 1.69/1.81 inference(sigma_clausification,[status(thm)],[f13])).
% 1.69/1.81 thf(f13,plain,(
% 1.69/1.81 ((!! @ (($i > $o) > $o) @ (^[Y0 : ($i > $o) > $o]: ((Y0 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: (((sK0 = Y2) | (sK1 = Y2)) & (Y2 @ Y1)))))) => (Y0 @ (^[Y1 : $i]: ((sK1 @ Y1) | (sK0 @ Y1))))))) = $false)),
% 1.69/1.81 inference(beta_eta_normalization,[status(thm)],[f12])).
% 1.69/1.81 thf(f12,plain,(
% 1.69/1.81 ($false = ((^[Y0 : $i > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: (((sK0 = Y3) | (Y0 = Y3)) & (Y3 @ Y2)))))) => (Y1 @ (^[Y2 : $i]: ((Y0 @ Y2) | (sK0 @ Y2)))))))) @ sK1))),
% 1.69/1.81 inference(sigma_clausification,[status(thm)],[f11])).
% 1.69/1.81 thf(f11,plain,(
% 1.69/1.81 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ (($i > $o) > $o) @ (^[Y1 : ($i > $o) > $o]: ((Y1 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: (((sK0 = Y3) | (Y0 = Y3)) & (Y3 @ Y2)))))) => (Y1 @ (^[Y2 : $i]: ((Y0 @ Y2) | (sK0 @ Y2))))))))) = $false)),
% 1.69/1.81 inference(beta_eta_normalization,[status(thm)],[f10])).
% 1.69/1.81 thf(f10,plain,(
% 1.69/1.81 ($false = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y2 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: (((Y0 = Y4) | (Y1 = Y4)) & (Y4 @ Y3)))))) => (Y2 @ (^[Y3 : $i]: ((Y1 @ Y3) | (Y0 @ Y3)))))))))) @ sK0))),
% 1.69/1.81 inference(sigma_clausification,[status(thm)],[f8])).
% 1.69/1.81 thf(f8,plain,(
% 1.69/1.81 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y2 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: (((Y0 = Y4) | (Y1 = Y4)) & (Y4 @ Y3)))))) => (Y2 @ (^[Y3 : $i]: ((Y1 @ Y3) | (Y0 @ Y3))))))))))) = $false)),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 1.69/1.81 thf(f7,plain,(
% 1.69/1.81 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) = (Y0 @ Y2)))) => (Y1 = Y0)))))) => (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y2 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: (((Y0 = Y4) | (Y1 = Y4)) & (Y4 @ Y3)))))) => (Y2 @ (^[Y3 : $i]: ((Y1 @ Y3) | (Y0 @ Y3)))))))))))) = $false)),
% 1.69/1.81 inference(not_proxy_clausification,[status(thm)],[f6])).
% 1.69/1.81 thf(f6,plain,(
% 1.69/1.81 ($true = (~ ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) = (Y0 @ Y2)))) => (Y1 = Y0)))))) => (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y2 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: (((Y0 = Y4) | (Y1 = Y4)) & (Y4 @ Y3)))))) => (Y2 @ (^[Y3 : $i]: ((Y1 @ Y3) | (Y0 @ Y3))))))))))))))),
% 1.69/1.81 inference(cnf_transformation,[status(thm)],[f5])).
% 1.69/1.81 thf(f5,plain,(
% 1.69/1.81 ($true = (~ ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) = (Y0 @ Y2)))) => (Y1 = Y0)))))) => (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ (($i > $o) > $o) @ (^[Y2 : ($i > $o) > $o]: ((Y2 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: (((Y0 = Y4) | (Y1 = Y4)) & (Y4 @ Y3)))))) => (Y2 @ (^[Y3 : $i]: ((Y1 @ Y3) | (Y0 @ Y3))))))))))))))),
% 1.69/1.81 inference(fool_elimination,[status(thm)],[f4])).
% 1.69/1.81 thf(f4,plain,(
% 1.69/1.81 ~(! [X0 : $i > $o,X1 : $i > $o] : (! [X2 : $i] : ((X0 @ X2) <=> (X1 @ X2)) => (X0 = X1)) => ! [X3 : ($i > $o) > $o,X4 : $i > $o,X5 : $i > $o] : ((X3 @ (^[X6 : $i] : (? [X7 : $i > $o] : ((X7 @ X6) & ((X4 = X7) | (X5 = X7)))))) => (X3 @ (^[X8 : $i] : ((X5 @ X8) | (X4 @ X8))))))),
% 1.69/1.81 inference(rectify,[status(thm)],[f2])).
% 1.69/1.81 thf(f2,negated_conjecture,(
% 1.69/1.81 ~(! [X0 : $i > $o,X1 : $i > $o] : (! [X2 : $i] : ((X0 @ X2) <=> (X1 @ X2)) => (X0 = X1)) => ! [X3 : ($i > $o) > $o,X4 : $i > $o,X5 : $i > $o] : ((X3 @ (^[X6 : $i] : (? [X7 : $i > $o] : ((X7 @ X6) & ((X4 = X7) | (X5 = X7)))))) => (X3 @ (^[X8 : $i] : ((X5 @ X8) | (X4 @ X8))))))),
% 1.69/1.81 inference(negated_conjecture,[status(cth)],[f1])).
% 1.69/1.81 thf(f1,conjecture,(
% 1.69/1.81 ! [X0 : $i > $o,X1 : $i > $o] : (! [X2 : $i] : ((X0 @ X2) <=> (X1 @ X2)) => (X0 = X1)) => ! [X3 : ($i > $o) > $o,X4 : $i > $o,X5 : $i > $o] : ((X3 @ (^[X6 : $i] : (? [X7 : $i > $o] : ((X7 @ X6) & ((X4 = X7) | (X5 = X7)))))) => (X3 @ (^[X8 : $i] : ((X5 @ X8) | (X4 @ X8)))))),
% 1.69/1.81 file('/export/starexec/sandbox/tmp/tmp.kpXF9gMebs/DTF2THF_25954.p',cTHM4A_pme)).
% 1.69/1.81 thf(f17,plain,(
% 1.69/1.81 ((sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: (((sK0 = Y1) | (sK1 = Y1)) & (Y1 @ Y0)))))) = $true)),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f15])).
% 1.69/1.81 thf(f203,plain,(
% 1.69/1.81 ($true = (sK1 @ sK5))),
% 1.69/1.81 inference(trivial_inequality_removal,[status(thm)],[f198])).
% 1.69/1.81 thf(f198,plain,(
% 1.69/1.81 ($true = (sK1 @ sK5)) | ($false = $true)),
% 1.69/1.81 inference(superposition,[status(thm)],[f124,f195])).
% 1.69/1.81 thf(f195,plain,(
% 1.69/1.81 ( ! [X0 : $i] : (((sK6 @ X0) = $false) | ((sK1 @ X0) = $true)) )),
% 1.69/1.81 inference(trivial_inequality_removal,[status(thm)],[f194])).
% 1.69/1.81 thf(f194,plain,(
% 1.69/1.81 ( ! [X0 : $i] : (((sK1 @ X0) = $true) | ((sK6 @ X0) = $false) | ($false = $true)) )),
% 1.69/1.81 inference(forward_demodulation,[status(thm)],[f191,f119])).
% 1.69/1.81 thf(f119,plain,(
% 1.69/1.81 ((sK0 @ sK5) = $false)),
% 1.69/1.81 inference(duplicate_literal_removal,[status(thm)],[f118])).
% 1.69/1.81 thf(f118,plain,(
% 1.69/1.81 ((sK0 @ sK5) = $false) | ((sK0 @ sK5) = $false)),
% 1.69/1.81 inference(equality_resolution,[status(thm)],[f91])).
% 1.69/1.81 thf(f91,plain,(
% 1.69/1.81 ( ! [X1 : $i > $o] : ((sK0 != X1) | ((sK0 @ sK5) = $false) | ($false = (X1 @ sK5))) )),
% 1.69/1.81 inference(equality_proxy_clausification,[status(thm)],[f90])).
% 1.69/1.81 thf(f90,plain,(
% 1.69/1.81 ( ! [X1 : $i > $o] : (((sK0 @ sK5) = $false) | ($false = (X1 @ sK5)) | ((sK0 = X1) = $false)) )),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f88])).
% 1.69/1.81 thf(f88,plain,(
% 1.69/1.81 ( ! [X1 : $i > $o] : ((((sK0 = X1) | (sK1 = X1)) = $false) | ((sK0 @ sK5) = $false) | ($false = (X1 @ sK5))) )),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f87])).
% 1.69/1.81 thf(f87,plain,(
% 1.69/1.81 ( ! [X1 : $i > $o] : (($false = (((sK0 = X1) | (sK1 = X1)) & (X1 @ sK5))) | ((sK0 @ sK5) = $false)) )),
% 1.69/1.81 inference(beta_eta_normalization,[status(thm)],[f86])).
% 1.69/1.81 thf(f86,plain,(
% 1.69/1.81 ( ! [X1 : $i > $o] : (((sK0 @ sK5) = $false) | (((^[Y0 : $i > $o]: (((sK0 = Y0) | (sK1 = Y0)) & (Y0 @ sK5))) @ X1) = $false)) )),
% 1.69/1.81 inference(pi_clausification,[status(thm)],[f77])).
% 1.69/1.81 thf(f77,plain,(
% 1.69/1.81 ((sK0 @ sK5) = $false) | ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: (((sK0 = Y0) | (sK1 = Y0)) & (Y0 @ sK5)))))),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f68])).
% 1.69/1.81 thf(f191,plain,(
% 1.69/1.81 ( ! [X0 : $i] : (((sK0 @ sK5) = $true) | ((sK1 @ X0) = $true) | ((sK6 @ X0) = $false)) )),
% 1.69/1.81 inference(trivial_inequality_removal,[status(thm)],[f184])).
% 1.69/1.81 thf(f184,plain,(
% 1.69/1.81 ( ! [X0 : $i] : (((sK0 @ sK5) = $true) | ($false = $true) | ((sK1 @ X0) = $true) | ((sK6 @ X0) = $false)) )),
% 1.69/1.81 inference(superposition,[status(thm)],[f158,f124])).
% 1.69/1.81 thf(f158,plain,(
% 1.69/1.81 ( ! [X2 : $i,X1 : $i] : (($false = (sK6 @ X1)) | ((sK0 @ X1) = $true) | ((sK1 @ X2) = $true) | ((sK6 @ X2) = $false)) )),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f152])).
% 1.69/1.81 thf(f152,plain,(
% 1.69/1.81 ( ! [X2 : $i,X1 : $i] : (($false = (sK6 @ X1)) | ((sK0 @ X1) = $true) | ((sK1 @ X2) = (sK6 @ X2))) )),
% 1.69/1.81 inference(argument_congruence,[status(thm)],[f144])).
% 1.69/1.81 thf(f144,plain,(
% 1.69/1.81 ( ! [X1 : $i] : ((sK1 = sK6) | ((sK0 @ X1) = $true) | ($false = (sK6 @ X1))) )),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f138])).
% 1.69/1.81 thf(f138,plain,(
% 1.69/1.81 ( ! [X1 : $i] : (((sK0 @ X1) = (sK6 @ X1)) | (sK1 = sK6)) )),
% 1.69/1.81 inference(argument_congruence,[status(thm)],[f125])).
% 1.69/1.81 thf(f125,plain,(
% 1.69/1.81 (sK6 = sK0) | (sK1 = sK6)),
% 1.69/1.81 inference(trivial_inequality_removal,[status(thm)],[f121])).
% 1.69/1.81 thf(f121,plain,(
% 1.69/1.81 (sK1 = sK6) | ($false = $true) | (sK6 = sK0)),
% 1.69/1.81 inference(backward_demodulation,[status(thm)],[f105,f119])).
% 1.69/1.81 thf(f105,plain,(
% 1.69/1.81 ((sK0 @ sK5) = $true) | (sK6 = sK0) | (sK1 = sK6)),
% 1.69/1.81 inference(trivial_inequality_removal,[status(thm)],[f102])).
% 1.69/1.81 thf(f102,plain,(
% 1.69/1.81 (sK6 = sK0) | ((sK0 @ sK5) = $true) | (sK1 = sK6) | ($false = $true)),
% 1.69/1.81 inference(backward_demodulation,[status(thm)],[f76,f101])).
% 1.69/1.81 thf(f76,plain,(
% 1.69/1.81 ((sK0 @ sK5) = $true) | ($true = (sK1 @ sK5)) | (sK1 = sK6) | (sK6 = sK0)),
% 1.69/1.81 inference(equality_proxy_clausification,[status(thm)],[f75])).
% 1.69/1.81 thf(f75,plain,(
% 1.69/1.81 ((sK0 = sK6) = $true) | ((sK0 @ sK5) = $true) | (sK1 = sK6) | ($true = (sK1 @ sK5))),
% 1.69/1.81 inference(equality_proxy_clausification,[status(thm)],[f74])).
% 1.69/1.81 thf(f74,plain,(
% 1.69/1.81 ((sK1 = sK6) = $true) | ((sK0 @ sK5) = $true) | ((sK0 = sK6) = $true) | ($true = (sK1 @ sK5))),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f73])).
% 1.69/1.81 thf(f73,plain,(
% 1.69/1.81 (((sK0 = sK6) | (sK1 = sK6)) = $true) | ($true = (sK1 @ sK5)) | ((sK0 @ sK5) = $true)),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f71])).
% 1.69/1.81 thf(f71,plain,(
% 1.69/1.81 ($true = (sK1 @ sK5)) | ((sK0 @ sK5) = $true) | ($true = (((sK0 = sK6) | (sK1 = sK6)) & (sK6 @ sK5)))),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f70])).
% 1.69/1.81 thf(f70,plain,(
% 1.69/1.81 (((sK1 @ sK5) | (sK0 @ sK5)) = $true) | ($true = (((sK0 = sK6) | (sK1 = sK6)) & (sK6 @ sK5)))),
% 1.69/1.81 inference(beta_eta_normalization,[status(thm)],[f69])).
% 1.69/1.81 thf(f69,plain,(
% 1.69/1.81 (((sK1 @ sK5) | (sK0 @ sK5)) = $true) | (((^[Y0 : $i > $o]: (((sK0 = Y0) | (sK1 = Y0)) & (Y0 @ sK5))) @ sK6) = $true)),
% 1.69/1.81 inference(sigma_clausification,[status(thm)],[f67])).
% 1.69/1.81 thf(f67,plain,(
% 1.69/1.81 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: (((sK0 = Y0) | (sK1 = Y0)) & (Y0 @ sK5)))) = $true) | (((sK1 @ sK5) | (sK0 @ sK5)) = $true)),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f66])).
% 1.69/1.81 thf(f124,plain,(
% 1.69/1.81 ($true = (sK6 @ sK5))),
% 1.69/1.81 inference(trivial_inequality_removal,[status(thm)],[f120])).
% 1.69/1.81 thf(f120,plain,(
% 1.69/1.81 ($false = $true) | ($true = (sK6 @ sK5))),
% 1.69/1.81 inference(backward_demodulation,[status(thm)],[f104,f119])).
% 1.69/1.81 thf(f104,plain,(
% 1.69/1.81 ($true = (sK6 @ sK5)) | ((sK0 @ sK5) = $true)),
% 1.69/1.81 inference(trivial_inequality_removal,[status(thm)],[f103])).
% 1.69/1.81 thf(f103,plain,(
% 1.69/1.81 ($false = $true) | ((sK0 @ sK5) = $true) | ($true = (sK6 @ sK5))),
% 1.69/1.81 inference(backward_demodulation,[status(thm)],[f72,f101])).
% 1.69/1.81 thf(f72,plain,(
% 1.69/1.81 ((sK0 @ sK5) = $true) | ($true = (sK1 @ sK5)) | ($true = (sK6 @ sK5))),
% 1.69/1.81 inference(binary_proxy_clausification,[status(thm)],[f71])).
% 1.69/1.81 % SZS output end Proof for DTF2THF_25954
% 1.69/1.81 % (26165)------------------------------
% 1.69/1.81 % (26165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.81 % (26165)Termination reason: Refutation
% 1.69/1.81
% 1.69/1.81 % (26165)Memory used [KB]: 1151
% 1.69/1.81 % (26165)Time elapsed: 0.014 s
% 1.69/1.81 % (26165)Instructions burned: 35 (million)
% 1.69/1.81 % (26165)------------------------------
% 1.69/1.81 % (26165)------------------------------
% 1.69/1.81 % (26115)Success in time 0.386 s
%------------------------------------------------------------------------------