%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV246^5 : 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 : n007.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 09:40:39 AM UTC 2026
% Result : Theorem 1.33s 1.98s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 1
% Syntax : Number of formulae : 60 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 466 ( 70 equ; 0 cnn)
% Maximal formula atoms : 3 ( 7 avg)
% Number of connectives : 1150 ( 4 ~; 14 |; 61 &; 760 @)
% ( 0 <=>; 149 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 185 ( 185 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 7 con; 0-2 aty)
% ( 116 !!; 46 ??; 0 @@+; 0 @@-)
% Number of variables : 256 ( 201 ^; 49 !; 6 ?; 256 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_15,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK2: ( $i > $o ) > $i > $o ).
thf(func_def_20,type,
sK6: $i > $o ).
thf(func_def_21,type,
sK7: ( $i > $o ) > $i ).
thf(func_def_22,type,
sK8: ( $i > $o ) > $i ).
thf(func_def_23,type,
sK9: ( $i > $o ) > $i ).
thf(func_def_24,type,
sK10: $i > $o ).
thf(func_def_25,type,
sK11: ( $i > $o ) > $i ).
thf(f1852,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f1844]) ).
thf(f1844,plain,
$false = $true,
inference(backward_demodulation,[status(thm)],[f85,f1783]) ).
thf(f1783,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( sK2 @ sK6 @ Y0 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f1727]) ).
thf(f1727,plain,
( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( sK2 @ sK6 @ Y0 ) ) )
& $true ) ),
inference(superposition,[status(thm)],[f1714,f1708]) ).
thf(f1708,plain,
( ( sK6 @ sK12 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f1706]) ).
thf(f1706,plain,
( ( ( sK6 @ sK12 )
=> ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK12 ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f1705]) ).
thf(f1705,plain,
( ( ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ sK12 )
= $false ),
inference(sigma_clausification,[status(thm)],[f1702]) ).
thf(f1702,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f1701]) ).
thf(f1701,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
= $false )
| ( $false = $true ) ),
inference(forward_demodulation,[status(thm)],[f1670,f79]) ).
thf(f79,plain,
( ( sK6 @ sK5 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f66]) ).
thf(f66,plain,
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( sK2 @ sK6 @ Y0 ) ) )
& ( sK6 @ sK5 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f64]) ).
thf(f64,plain,
( $true
= ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK5 ) )
@ sK6 ) ),
inference(sigma_clausification,[status(thm)],[f60]) ).
thf(f60,plain,
( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK5 ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f58]) ).
thf(f58,plain,
( $false
= ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK5 ) ) )
=> ( sK2
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK5 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f57]) ).
thf(f57,plain,
( ( ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) )
@ sK5 )
= $false ),
inference(sigma_clausification,[status(thm)],[f52]) ).
thf(f52,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
=> ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f51]) ).
thf(f51,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f43]) ).
thf(f43,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f38,f20]) ).
thf(f20,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ X2 @ Y0 )
=> ( sK2 @ X1 @ Y0 ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
! [X2: $i > $o,X1: $i > $o] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2 @ X2 @ Y0 )
=> ( sK2 @ X1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f18]) ).
thf(f18,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ X1 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
! [X1: $i > $o] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( X1 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( sK2 @ Y0 @ Y1 )
=> ( sK2 @ X1 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f15]) ).
thf(f15,plain,
! [X1: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( $false
= ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( sK2 @ Y1 @ Y2 )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f9]) ).
thf(f9,plain,
( $false
= ( ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) )
@ Y1 )
=> ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( $false
= ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) )
@ Y1 )
=> ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ~ ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) )
@ Y1 )
=> ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( ~ ( !! @ ( ( $i > $o ) > $i > $o )
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( !! @ $i
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) )
@ Y1 )
=> ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: ( $i > $o ) > $i > $o] :
( ! [X1: $i > $o,X2: $i > $o] :
( ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X4: $i] :
( ( X0 @ X1 @ X4 )
=> ( X0 @ X2 @ X4 ) ) )
=> ! [X5: $i] :
( ( X0
@ ^ [X6: $i] :
? [X7: $i > $o] :
( ( X7 @ X6 )
& ! [X8: $i] :
( ( X7 @ X8 )
=> ( X0 @ X7 @ X8 ) ) )
@ X5 )
=> ? [X9: $i > $o] :
( ( X9 @ X5 )
& ! [X10: $i] :
( ( X9 @ X10 )
=> ( X0 @ X9 @ X10 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( $i > $o ) > $i > $o] :
( ! [X1: $i > $o,X2: $i > $o] :
( ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X3: $i] :
( ( X0 @ X1 @ X3 )
=> ( X0 @ X2 @ X3 ) ) )
=> ! [X1: $i] :
( ( X0
@ ^ [X3: $i] :
? [X4: $i > $o] :
( ( X4 @ X3 )
& ! [X5: $i] :
( ( X4 @ X5 )
=> ( X0 @ X4 @ X5 ) ) )
@ X1 )
=> ? [X4: $i > $o] :
( ( X4 @ X1 )
& ! [X3: $i] :
( ( X4 @ X3 )
=> ( X0 @ X4 @ X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: ( $i > $o ) > $i > $o] :
( ! [X1: $i > $o,X2: $i > $o] :
( ! [X3: $i] :
( ( X1 @ X3 )
=> ( X2 @ X3 ) )
=> ! [X3: $i] :
( ( X0 @ X1 @ X3 )
=> ( X0 @ X2 @ X3 ) ) )
=> ! [X1: $i] :
( ( X0
@ ^ [X3: $i] :
? [X4: $i > $o] :
( ( X4 @ X3 )
& ! [X5: $i] :
( ( X4 @ X5 )
=> ( X0 @ X4 @ X5 ) ) )
@ X1 )
=> ? [X4: $i > $o] :
( ( X4 @ X1 )
& ! [X3: $i] :
( ( X4 @ X3 )
=> ( X0 @ X4 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YIaZt95a9g/DTF2THF_10834.p',cTHM2A_ONE_pme) ).
thf(f38,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( sK2
@ ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f36]) ).
thf(f36,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( sK2
@ ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) )
@ Y0 ) ) )
& $true )
= $false ),
inference(superposition,[status(thm)],[f28,f24]) ).
thf(f24,plain,
( ( sK2
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK3 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
( $false
= ( ( sK2
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK3 )
=> ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f21]) ).
thf(f21,plain,
( $false
= ( ^ [Y0: $i] :
( ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f14]) ).
thf(f14,plain,
( $false
= ( $true
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( sK2
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ) ),
inference(backward_demodulation,[status(thm)],[f10,f13]) ).
thf(f28,plain,
! [X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( sK2 @ X1 @ Y0 ) ) )
& ( X1 @ sK3 ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f26]) ).
thf(f26,plain,
! [X1: $i > $o] :
( $false
= ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f23]) ).
thf(f23,plain,
( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f1670,plain,
( ( $false
= ( sK6 @ sK5 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f1669]) ).
thf(f1669,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) )
| ( $false
= ( sK6 @ sK5 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1604]) ).
thf(f1604,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( sK2 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) )
| ( $false
= ( sK6 @ sK5 ) )
| ( $false = $true ) ),
inference(superposition,[status(thm)],[f65,f807]) ).
thf(f807,plain,
! [X0: $i,X1: $i > $o] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( sK2 @ X1 @ X0 )
= $true )
| ( $false
= ( sK6 @ X0 ) ) ),
inference(boolean_simplification,[status(thm)],[f765]) ).
thf(f765,plain,
! [X0: $i,X1: $i > $o] :
( ( $false
= ( sK6 @ X0 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( $true
=> ( sK2 @ X1 @ X0 ) )
= $true ) ),
inference(superposition,[status(thm)],[f34,f126]) ).
thf(f126,plain,
! [X1: $i] :
( ( ( sK2 @ sK6 @ X1 )
= $true )
| ( $false
= ( sK6 @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f91]) ).
thf(f91,plain,
! [X1: $i] :
( ( ( sK6 @ X1 )
=> ( sK2 @ sK6 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f86]) ).
thf(f86,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( sK2 @ sK6 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f85]) ).
thf(f34,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( $true
= ( ( sK2 @ X2 @ X3 )
=> ( sK2 @ X1 @ X3 ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f29]) ).
thf(f29,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( ^ [Y0: $i] :
( ( sK2 @ X2 @ Y0 )
=> ( sK2 @ X1 @ Y0 ) )
@ X3 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(pi_clausification,[status(thm)],[f20]) ).
thf(f65,plain,
( ( sK2
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK5 )
= $false ),
inference(boolean_simplification,[status(thm)],[f63]) ).
thf(f63,plain,
( ( $true
=> ( sK2
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK2 @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ sK5 ) )
= $false ),
inference(backward_demodulation,[status(thm)],[f58,f60]) ).
thf(f1714,plain,
! [X1: $i > $o] :
( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( sK2 @ X1 @ Y0 ) ) )
& ( X1 @ sK12 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f1713]) ).
thf(f1713,plain,
! [X1: $i > $o] :
( $false
= ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK12 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f1711]) ).
thf(f1711,plain,
( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK12 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f1709]) ).
thf(f1709,plain,
( $false
= ( $true
=> ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( sK2 @ Y0 @ Y1 ) ) )
& ( Y0 @ sK12 ) ) ) ) ),
inference(backward_demodulation,[status(thm)],[f1706,f1708]) ).
thf(f85,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( sK2 @ sK6 @ Y0 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f84]) ).
thf(f84,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( sK6 @ Y0 )
=> ( sK2 @ sK6 @ Y0 ) ) )
& $true )
= $true ),
inference(backward_demodulation,[status(thm)],[f66,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV246^5 : 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
% 0.13/0.32 % Computer : n007.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Feb 24 12:41:53 EST 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.42 ---- Original DTF file ---
% 0.16/0.42 thf(spec,logic,$$dhol).
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 % File : SEV246^5 : TPTP v9.2.1. Released v4.0.0.
% 0.16/0.42 % Domain : Set Theory (Sets of sets)
% 0.16/0.42 % Problem : TPS problem from SETS-OF-SETS-THMS
% 0.16/0.42 % Version : Especial.
% 0.16/0.42 % English :
% 0.16/0.42
% 0.16/0.42 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.42 % Source : [Bro09]
% 0.16/0.42 % Names : tps_0977 [Bro09]
% 0.16/0.42
% 0.16/0.42 % Status : Theorem
% 0.16/0.42 % Rating : 0.33 v9.1.0, 0.25 v9.0.0, 0.58 v8.2.0, 0.55 v8.1.0, 0.67 v7.3.0, 0.70 v7.2.0, 0.75 v7.1.0, 0.71 v7.0.0, 0.62 v6.4.0, 0.71 v6.3.0, 0.67 v6.2.0, 0.50 v6.1.0, 0.67 v6.0.0, 0.50 v5.5.0, 0.60 v5.4.0, 0.50 v5.2.0, 0.75 v4.1.0, 1.00 v4.0.0
% 0.16/0.42 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.16/0.42 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.16/0.42 % Maximal formula atoms : 0 ( 0 avg)
% 0.16/0.42 % Number of connectives : 25 ( 0 ~; 0 |; 2 &; 16 @)
% 0.16/0.42 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.16/0.42 % Maximal formula depth : 14 ( 14 avg)
% 0.16/0.42 % Number of types : 2 ( 0 usr)
% 0.16/0.42 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.16/0.42 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.16/0.42 % Number of variables : 11 ( 1 ^; 8 !; 2 ?; 11 :)
% 0.16/0.42 % SPC : TH0_THM_NEQ_NAR
% 0.16/0.42
% 0.16/0.42 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.42 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.42 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.42 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 thf(cTHM2A_ONE_pme,conjecture,
% 0.16/0.42 ! [K: ( $i > $o ) > $i > $o] :
% 0.16/0.42 ( ! [Xx: $i > $o,Xy: $i > $o] :
% 0.16/0.42 ( ! [Xx0: $i] :
% 0.16/0.42 ( ( Xx @ Xx0 )
% 0.16/0.42 => ( Xy @ Xx0 ) )
% 0.16/0.42 => ! [Xx0: $i] :
% 0.16/0.42 ( ( K @ Xx @ Xx0 )
% 0.16/0.42 => ( K @ Xy @ Xx0 ) ) )
% 0.16/0.42 => ! [Xx: $i] :
% 0.16/0.42 ( ( K
% 0.16/0.42 @ ^ [Xx0: $i] :
% 0.16/0.42 ? [S: $i > $o] :
% 0.16/0.42 ( ! [Xx1: $i] :
% 0.16/0.42 ( ( S @ Xx1 )
% 0.16/0.42 => ( K @ S @ Xx1 ) )
% 0.16/0.42 & ( S @ Xx0 ) )
% 0.16/0.42 @ Xx )
% 0.16/0.42 => ? [S: $i > $o] :
% 0.16/0.42 ( ! [Xx0: $i] :
% 0.16/0.42 ( ( S @ Xx0 )
% 0.16/0.42 => ( K @ S @ Xx0 ) )
% 0.16/0.42 & ( S @ Xx ) ) ) ) ).
% 0.16/0.42
% 0.16/0.42 %------------------------------------------------------------------------------
% 0.16/0.42 ------------------------
% 1.30/1.13 ---- Embedded in THF ---
% 1.30/1.13 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.30/1.13 %%% Generated on Tue Feb 24 12:41:54 EST 2026
% 1.30/1.13 %%% using '$$dhol' embedding, version 1.3.0.
% 1.30/1.13 %%% Logic specification used:
% 1.30/1.13 %%% thf(spec, logic, $$dhol).
% 1.30/1.13
% 1.30/1.13 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.YIaZt95a9g/DTF2DTF10834.p
% See solution above
% 1.30/1.13 ------------------------
% 1.30/1.14 ---- Cleaned THF ---
% 1.30/1.14 thf(cTHM2A_ONE_pme,conjecture,
% 1.30/1.14 ! [K: ( $i > $o ) > $i > $o] :
% 1.30/1.14 ( ! [Xx: $i > $o,Xy: $i > $o] :
% 1.30/1.14 ( ! [Xx0: $i] :
% 1.30/1.14 ( ( Xx @ Xx0 )
% 1.30/1.14 => ( Xy @ Xx0 ) )
% 1.30/1.14 => ! [Xx0: $i] :
% 1.30/1.14 ( ( K @ Xx @ Xx0 )
% 1.30/1.14 => ( K @ Xy @ Xx0 ) ) )
% 1.30/1.14 => ! [Xx: $i] :
% 1.30/1.14 ( ( K
% 1.30/1.14 @ ^ [Xx0: $i] :
% 1.30/1.14 ? [S: $i > $o] :
% 1.30/1.14 ( ! [Xx1: $i] :
% 1.30/1.14 ( ( S @ Xx1 )
% 1.30/1.14 => ( K @ S @ Xx1 ) )
% 1.30/1.14 & ( S @ Xx0 ) )
% 1.30/1.14 @ Xx )
% 1.30/1.14 => ? [S: $i > $o] :
% 1.30/1.14 ( ! [Xx0: $i] :
% 1.30/1.14 ( ( S @ Xx0 )
% 1.30/1.14 => ( K @ S @ Xx0 ) )
% 1.30/1.14 & ( S @ Xx ) ) ) ) ).
% 1.30/1.14 ------------------------
% 1.30/1.15 % (10931)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/183Mi)
% 1.30/1.15 % (10933)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_10834 for (2999ds/27Mi)
% 1.30/1.16 % (10936)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_10834 for (2999ds/275Mi)
% 1.30/1.16 % (10935)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_10834 for (2999ds/2Mi)
% 1.30/1.16 % (10934)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/2Mi)
% 1.30/1.16 % (10937)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/18Mi)
% 1.30/1.16 % (10935)Instruction limit reached!
% 1.30/1.16 % (10935)------------------------------
% 1.30/1.16 % (10935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.16 % (10935)Termination reason: Unknown
% 1.30/1.16 % (10935)Termination phase: Property scanning
% 1.30/1.16
% 1.30/1.16 % (10935)Memory used [KB]: 895
% 1.30/1.16 % (10935)Time elapsed: 0.002 s
% 1.30/1.16 % (10935)Instructions burned: 2 (million)
% 1.30/1.16 % (10935)------------------------------
% 1.30/1.16 % (10935)------------------------------
% 1.30/1.16 % (10934)Instruction limit reached!
% 1.30/1.16 % (10934)------------------------------
% 1.30/1.16 % (10934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.16 % (10934)Termination reason: Unknown
% 1.30/1.16 % (10934)Termination phase: Saturation
% 1.30/1.16
% 1.30/1.16 % (10934)Memory used [KB]: 5500
% 1.30/1.16 % (10934)Time elapsed: 0.003 s
% 1.30/1.16 % (10934)Instructions burned: 3 (million)
% 1.30/1.16 % (10934)------------------------------
% 1.30/1.16 % (10934)------------------------------
% 1.30/1.16 % (10932)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_10834 for (2999ds/4Mi)
% 1.30/1.16 % (10932)Instruction limit reached!
% 1.30/1.16 % (10932)------------------------------
% 1.30/1.16 % (10932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.16 % (10932)Termination reason: Unknown
% 1.30/1.16 % (10932)Termination phase: Saturation
% 1.30/1.16
% 1.30/1.16 % (10932)Memory used [KB]: 5500
% 1.30/1.16 % (10932)Time elapsed: 0.004 s
% 1.30/1.16 % (10932)Instructions burned: 5 (million)
% 1.30/1.16 % (10932)------------------------------
% 1.30/1.16 % (10932)------------------------------
% 1.30/1.16 % (10937)Instruction limit reached!
% 1.30/1.16 % (10937)------------------------------
% 1.30/1.16 % (10937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.16 % (10937)Termination reason: Unknown
% 1.30/1.16 % (10937)Termination phase: Saturation
% 1.30/1.16
% 1.30/1.16 % (10937)Memory used [KB]: 5628
% 1.30/1.16 % (10937)Time elapsed: 0.011 s
% 1.30/1.16 % (10937)Instructions burned: 18 (million)
% 1.30/1.16 % (10937)------------------------------
% 1.30/1.16 % (10937)------------------------------
% 1.30/1.17 % (10933)Instruction limit reached!
% 1.30/1.17 % (10933)------------------------------
% 1.30/1.17 % (10933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.17 % (10933)Termination reason: Unknown
% 1.30/1.17 % (10933)Termination phase: Saturation
% 1.30/1.17
% 1.30/1.17 % (10933)Memory used [KB]: 5628
% 1.30/1.17 % (10933)Time elapsed: 0.015 s
% 1.30/1.17 % (10933)Instructions burned: 28 (million)
% 1.30/1.17 % (10933)------------------------------
% 1.30/1.17 % (10933)------------------------------
% 1.30/1.18 % (10938)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/3Mi)
% 1.30/1.18 % (10939)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_10834 for (2999ds/37Mi)
% 1.30/1.18 % (10940)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_10834 for (2999ds/15Mi)
% 1.30/1.18 % (10941)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_10834 for (2999ds/3Mi)
% 1.30/1.18 % (10938)Instruction limit reached!
% 1.30/1.18 % (10938)------------------------------
% 1.30/1.18 % (10938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.18 % (10938)Termination reason: Unknown
% 1.30/1.18 % (10938)Termination phase: Saturation
% 1.30/1.18
% 1.30/1.18 % (10938)Memory used [KB]: 5500
% 1.30/1.18 % (10938)Time elapsed: 0.003 s
% 1.30/1.18 % (10938)Instructions burned: 3 (million)
% 1.30/1.18 % (10938)------------------------------
% 1.30/1.18 % (10938)------------------------------
% 1.30/1.18 % (10941)Instruction limit reached!
% 1.30/1.18 % (10941)------------------------------
% 1.30/1.18 % (10941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.18 % (10941)Termination reason: Unknown
% 1.30/1.18 % (10941)Termination phase: Saturation
% 1.30/1.18
% 1.30/1.18 % (10941)Memory used [KB]: 5500
% 1.30/1.18 % (10941)Time elapsed: 0.003 s
% 1.30/1.18 % (10941)Instructions burned: 3 (million)
% 1.30/1.18 % (10941)------------------------------
% 1.30/1.18 % (10941)------------------------------
% 1.30/1.18 % (10942)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_10834 for (2999ds/1041Mi)
% 1.30/1.19 % (10940)Instruction limit reached!
% 1.30/1.19 % (10940)------------------------------
% 1.30/1.19 % (10940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.30/1.19 % (10940)Termination reason: Unknown
% 1.30/1.19 % (10940)Termination phase: Saturation
% 1.30/1.19
% 1.30/1.19 % (10940)Memory used [KB]: 5628
% 1.30/1.19 % (10940)Time elapsed: 0.010 s
% 1.30/1.19 % (10940)Instructions burned: 16 (million)
% 1.30/1.19 % (10940)------------------------------
% 1.30/1.19 % (10940)------------------------------
% 1.33/1.20 % (10944)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/16Mi)
% 1.33/1.20 % (10943)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/7Mi)
% 1.33/1.20 % (10939)Instruction limit reached!
% 1.33/1.20 % (10939)------------------------------
% 1.33/1.20 % (10939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.20 % (10939)Termination reason: Unknown
% 1.33/1.20 % (10939)Termination phase: Saturation
% 1.33/1.20
% 1.33/1.20 % (10939)Memory used [KB]: 6012
% 1.33/1.20 % (10939)Time elapsed: 0.019 s
% 1.33/1.20 % (10939)Instructions burned: 39 (million)
% 1.33/1.20 % (10939)------------------------------
% 1.33/1.20 % (10939)------------------------------
% 1.33/1.20 % (10943)Instruction limit reached!
% 1.33/1.20 % (10943)------------------------------
% 1.33/1.20 % (10943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.20 % (10943)Termination reason: Unknown
% 1.33/1.20 % (10943)Termination phase: Saturation
% 1.33/1.20
% 1.33/1.20 % (10943)Memory used [KB]: 1023
% 1.33/1.20 % (10943)Time elapsed: 0.006 s
% 1.33/1.20 % (10943)Instructions burned: 7 (million)
% 1.33/1.20 % (10943)------------------------------
% 1.33/1.20 % (10943)------------------------------
% 1.33/1.20 % (10944)Instruction limit reached!
% 1.33/1.20 % (10944)------------------------------
% 1.33/1.20 % (10944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.20 % (10944)Termination reason: Unknown
% 1.33/1.20 % (10944)Termination phase: Saturation
% 1.33/1.20
% 1.33/1.20 % (10944)Memory used [KB]: 5756
% 1.33/1.20 % (10944)Time elapsed: 0.008 s
% 1.33/1.20 % (10944)Instructions burned: 18 (million)
% 1.33/1.20 % (10944)------------------------------
% 1.33/1.20 % (10944)------------------------------
% 1.33/1.20 % (10945)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_10834 for (2999ds/3Mi)
% 1.33/1.21 % (10945)Instruction limit reached!
% 1.33/1.21 % (10945)------------------------------
% 1.33/1.21 % (10945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.21 % (10945)Termination reason: Unknown
% 1.33/1.21 % (10945)Termination phase: Twee Goal Transformation
% 1.33/1.21
% 1.33/1.21 % (10945)Memory used [KB]: 1023
% 1.33/1.21 % (10945)Time elapsed: 0.003 s
% 1.33/1.21 % (10945)Instructions burned: 3 (million)
% 1.33/1.21 % (10945)------------------------------
% 1.33/1.21 % (10945)------------------------------
% 1.33/1.21 % (10955)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/3Mi)
% 1.33/1.22 % (10955)Instruction limit reached!
% 1.33/1.22 % (10955)------------------------------
% 1.33/1.22 % (10955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.22 % (10955)Termination reason: Unknown
% 1.33/1.22 % (10955)Termination phase: Saturation
% 1.33/1.22
% 1.33/1.22 % (10955)Memory used [KB]: 5500
% 1.33/1.22 % (10955)Time elapsed: 0.003 s
% 1.33/1.22 % (10955)Instructions burned: 4 (million)
% 1.33/1.22 % (10955)------------------------------
% 1.33/1.22 % (10955)------------------------------
% 1.33/1.22 % (10954)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/7Mi)
% 1.33/1.22 % (10953)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_10834 for (2999ds/3Mi)
% 1.33/1.22 % (10954)Instruction limit reached!
% 1.33/1.22 % (10954)------------------------------
% 1.33/1.22 % (10954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.22 % (10953)Instruction limit reached!
% 1.33/1.22 % (10953)------------------------------
% 1.33/1.22 % (10953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.22 % (10954)Termination reason: Unknown
% 1.33/1.22 % (10954)Termination phase: Saturation
% 1.33/1.22
% 1.33/1.22 % (10954)Memory used [KB]: 5500
% 1.33/1.22 % (10954)Time elapsed: 0.005 s
% 1.33/1.22 % (10954)Instructions burned: 7 (million)
% 1.33/1.22 % (10954)------------------------------
% 1.33/1.22 % (10954)------------------------------
% 1.33/1.22 % (10953)Termination reason: Unknown
% 1.33/1.22 % (10953)Termination phase: Saturation
% 1.33/1.22
% 1.33/1.22 % (10953)Memory used [KB]: 1023
% 1.33/1.22 % (10953)Time elapsed: 0.003 s
% 1.33/1.22 % (10953)Instructions burned: 3 (million)
% 1.33/1.22 % (10953)------------------------------
% 1.33/1.22 % (10953)------------------------------
% 1.33/1.22 % (10956)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/4Mi)
% 1.33/1.22 % (10956)Instruction limit reached!
% 1.33/1.22 % (10956)------------------------------
% 1.33/1.22 % (10956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.22 % (10956)Termination reason: Unknown
% 1.33/1.22 % (10956)Termination phase: Saturation
% 1.33/1.22
% 1.33/1.22 % (10956)Memory used [KB]: 5500
% 1.33/1.22 % (10956)Time elapsed: 0.004 s
% 1.33/1.22 % (10956)Instructions burned: 5 (million)
% 1.33/1.22 % (10956)------------------------------
% 1.33/1.22 % (10956)------------------------------
% 1.33/1.23 % (10931)Instruction limit reached!
% 1.33/1.23 % (10931)------------------------------
% 1.33/1.23 % (10931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.23 % (10931)Termination reason: Unknown
% 1.33/1.23 % (10931)Termination phase: Saturation
% 1.33/1.23
% 1.33/1.23 % (10931)Memory used [KB]: 6524
% 1.33/1.23 % (10931)Time elapsed: 0.079 s
% 1.33/1.23 % (10931)Instructions burned: 184 (million)
% 1.33/1.23 % (10931)------------------------------
% 1.33/1.23 % (10931)------------------------------
% 1.33/1.23 % (10957)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/18Mi)
% 1.33/1.23 % (10957)Refutation not found, incomplete strategy
% 1.33/1.23 % (10957)------------------------------
% 1.33/1.23 % (10957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.23 % (10957)Termination reason: Refutation not found, incomplete strategy
% 1.33/1.23
% 1.33/1.23
% 1.33/1.23 % (10957)Memory used [KB]: 5500
% 1.33/1.23 % (10957)Time elapsed: 0.004 s
% 1.33/1.23 % (10957)Instructions burned: 3 (million)
% 1.33/1.23 % (10957)------------------------------
% 1.33/1.23 % (10957)------------------------------
% 1.33/1.24 % (10958)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/710Mi)
% 1.33/1.24 % (10959)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/6Mi)
% 1.33/1.24 % (10960)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_10834 for (2999ds/902Mi)
% 1.33/1.24 % (10959)Instruction limit reached!
% 1.33/1.24 % (10959)------------------------------
% 1.33/1.24 % (10959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.24 % (10959)Termination reason: Unknown
% 1.33/1.24 % (10959)Termination phase: Saturation
% 1.33/1.24
% 1.33/1.24 % (10959)Memory used [KB]: 5500
% 1.33/1.24 % (10959)Time elapsed: 0.005 s
% 1.33/1.24 % (10959)Instructions burned: 7 (million)
% 1.33/1.24 % (10959)------------------------------
% 1.33/1.24 % (10959)------------------------------
% 1.33/1.24 % (10961)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_10834 for (2999ds/21Mi)
% 1.33/1.25 % (10962)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_10834 for (2999ds/5Mi)
% 1.33/1.25 % (10962)Instruction limit reached!
% 1.33/1.25 % (10962)------------------------------
% 1.33/1.25 % (10962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.25 % (10962)Termination reason: Unknown
% 1.33/1.25 % (10962)Termination phase: Saturation
% 1.33/1.25
% 1.33/1.25 % (10962)Memory used [KB]: 5500
% 1.33/1.25 % (10962)Time elapsed: 0.003 s
% 1.33/1.25 % (10962)Instructions burned: 6 (million)
% 1.33/1.25 % (10962)------------------------------
% 1.33/1.25 % (10962)------------------------------
% 1.33/1.25 % (10961)Instruction limit reached!
% 1.33/1.25 % (10961)------------------------------
% 1.33/1.25 % (10961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.25 % (10961)Termination reason: Unknown
% 1.33/1.25 % (10961)Termination phase: Saturation
% 1.33/1.25
% 1.33/1.25 % (10961)Memory used [KB]: 5628
% 1.33/1.25 % (10961)Time elapsed: 0.009 s
% 1.33/1.25 % (10961)Instructions burned: 22 (million)
% 1.33/1.25 % (10961)------------------------------
% 1.33/1.25 % (10961)------------------------------
% 1.33/1.25 % (10963)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_10834 for (2999ds/6Mi)
% 1.33/1.25 % (10963)Instruction limit reached!
% 1.33/1.25 % (10963)------------------------------
% 1.33/1.25 % (10963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.25 % (10963)Termination reason: Unknown
% 1.33/1.25 % (10963)Termination phase: Saturation
% 1.33/1.25
% 1.33/1.25 % (10963)Memory used [KB]: 5500
% 1.33/1.25 % (10963)Time elapsed: 0.003 s
% 1.33/1.25 % (10963)Instructions burned: 6 (million)
% 1.33/1.25 % (10963)------------------------------
% 1.33/1.25 % (10963)------------------------------
% 1.33/1.26 % (10967)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_10834 for (2998ds/377Mi)
% 1.33/1.26 % (10968)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_10834 for (2998ds/779Mi)
% 1.33/1.26 % (10970)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_10834 for (2998ds/19Mi)
% 1.33/1.27 % (10936)Instruction limit reached!
% 1.33/1.27 % (10936)------------------------------
% 1.33/1.27 % (10936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.27 % (10936)Termination reason: Unknown
% 1.33/1.27 % (10936)Termination phase: Saturation
% 1.33/1.27
% 1.33/1.27 % (10936)Memory used [KB]: 6140
% 1.33/1.27 % (10936)Time elapsed: 0.113 s
% 1.33/1.27 % (10936)Instructions burned: 278 (million)
% 1.33/1.27 % (10936)------------------------------
% 1.33/1.27 % (10936)------------------------------
% 1.33/1.27 % (10970)Instruction limit reached!
% 1.33/1.27 % (10970)------------------------------
% 1.33/1.27 % (10970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.27 % (10970)Termination reason: Unknown
% 1.33/1.27 % (10970)Termination phase: Saturation
% 1.33/1.27
% 1.33/1.27 % (10970)Memory used [KB]: 5628
% 1.33/1.27 % (10970)Time elapsed: 0.008 s
% 1.33/1.27 % (10970)Instructions burned: 21 (million)
% 1.33/1.27 % (10970)------------------------------
% 1.33/1.27 % (10970)------------------------------
% 1.33/1.28 % (10977)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_10834 for (2998ds/879Mi)
% 1.33/1.28 % (10979)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_10834 for (2998ds/17Mi)
% 1.33/1.28 % (10979)Instruction limit reached!
% 1.33/1.28 % (10979)------------------------------
% 1.33/1.28 % (10979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.28 % (10979)Termination reason: Unknown
% 1.33/1.28 % (10979)Termination phase: Saturation
% 1.33/1.28
% 1.33/1.28 % (10979)Memory used [KB]: 5628
% 1.33/1.28 % (10979)Time elapsed: 0.008 s
% 1.33/1.28 % (10979)Instructions burned: 19 (million)
% 1.33/1.28 % (10979)------------------------------
% 1.33/1.28 % (10979)------------------------------
% 1.33/1.29 % (10987)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_10834 for (2998ds/3Mi)
% 1.33/1.29 % (10987)Instruction limit reached!
% 1.33/1.29 % (10987)------------------------------
% 1.33/1.29 % (10987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.29 % (10987)Termination reason: Unknown
% 1.33/1.29 % (10987)Termination phase: Saturation
% 1.33/1.29
% 1.33/1.29 % (10987)Memory used [KB]: 1023
% 1.33/1.29 % (10987)Time elapsed: 0.002 s
% 1.33/1.29 % (10987)Instructions burned: 3 (million)
% 1.33/1.29 % (10987)------------------------------
% 1.33/1.29 % (10987)------------------------------
% 1.33/1.30 % (10992)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_10834 for (2998ds/30Mi)
% 1.33/1.31 % (10992)Instruction limit reached!
% 1.33/1.31 % (10992)------------------------------
% 1.33/1.31 % (10992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.31 % (10992)Termination reason: Unknown
% 1.33/1.31 % (10992)Termination phase: Saturation
% 1.33/1.31
% 1.33/1.31 % (10992)Memory used [KB]: 5628
% 1.33/1.31 % (10992)Time elapsed: 0.011 s
% 1.33/1.31 % (10992)Instructions burned: 31 (million)
% 1.33/1.31 % (10992)------------------------------
% 1.33/1.31 % (10992)------------------------------
% 1.33/1.32 % (11002)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_10834 for (2998ds/127Mi)
% 1.33/1.37 % (11002)Instruction limit reached!
% 1.33/1.37 % (11002)------------------------------
% 1.33/1.37 % (11002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.37 % (11002)Termination reason: Unknown
% 1.33/1.37 % (11002)Termination phase: Saturation
% 1.33/1.37
% 1.33/1.37 % (11002)Memory used [KB]: 6140
% 1.33/1.37 % (11002)Time elapsed: 0.043 s
% 1.33/1.37 % (11002)Instructions burned: 130 (million)
% 1.33/1.37 % (11002)------------------------------
% 1.33/1.37 % (11002)------------------------------
% 1.33/1.37 % (10967)Instruction limit reached!
% 1.33/1.37 % (10967)------------------------------
% 1.33/1.37 % (10967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.37 % (10967)Termination reason: Unknown
% 1.33/1.37 % (10967)Termination phase: Saturation
% 1.33/1.37
% 1.33/1.37 % (10967)Memory used [KB]: 6268
% 1.33/1.37 % (10967)Time elapsed: 0.118 s
% 1.33/1.37 % (10967)Instructions burned: 379 (million)
% 1.33/1.37 % (10967)------------------------------
% 1.33/1.37 % (10967)------------------------------
% 1.33/1.37 % (11024)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_10834 for (2997ds/100Mi)
% 1.33/1.38 % (11024)Refutation not found, incomplete strategy
% 1.33/1.38 % (11024)------------------------------
% 1.33/1.38 % (11024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.38 % (11024)Termination reason: Refutation not found, incomplete strategy
% 1.33/1.38
% 1.33/1.38
% 1.33/1.38 % (11024)Memory used [KB]: 5500
% 1.33/1.38 % (11024)Time elapsed: 0.002 s
% 1.33/1.38 % (11024)Instructions burned: 3 (million)
% 1.33/1.38 % (11024)------------------------------
% 1.33/1.38 % (11024)------------------------------
% 1.33/1.38 % (11028)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_10834 for (2997ds/3Mi)
% 1.33/1.38 % (11028)Instruction limit reached!
% 1.33/1.38 % (11028)------------------------------
% 1.33/1.38 % (11028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.38 % (11028)Termination reason: Unknown
% 1.33/1.38 % (11028)Termination phase: Saturation
% 1.33/1.38
% 1.33/1.38 % (11028)Memory used [KB]: 5500
% 1.33/1.38 % (11028)Time elapsed: 0.002 s
% 1.33/1.38 % (11028)Instructions burned: 3 (million)
% 1.33/1.38 % (11028)------------------------------
% 1.33/1.38 % (11028)------------------------------
% 1.33/1.39 % (11030)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_10834 for (2997ds/20Mi)
% 1.33/1.39 % (11030)Instruction limit reached!
% 1.33/1.39 % (11030)------------------------------
% 1.33/1.39 % (11030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.39 % (11030)Termination reason: Unknown
% 1.33/1.39 % (11030)Termination phase: Saturation
% 1.33/1.39
% 1.33/1.39 % (11030)Memory used [KB]: 5628
% 1.33/1.39 % (11030)Time elapsed: 0.008 s
% 1.33/1.39 % (11030)Instructions burned: 20 (million)
% 1.33/1.39 % (11030)------------------------------
% 1.33/1.39 % (11030)------------------------------
% 1.33/1.39 % (11032)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_10834 for (2997ds/86Mi)
% 1.33/1.40 % (11035)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_10834 for (2997ds/107Mi)
% 1.33/1.42 % (11032)Instruction limit reached!
% 1.33/1.42 % (11032)------------------------------
% 1.33/1.42 % (11032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.42 % (11032)Termination reason: Unknown
% 1.33/1.42 % (11032)Termination phase: Saturation
% 1.33/1.42
% 1.33/1.42 % (11032)Memory used [KB]: 6140
% 1.33/1.42 % (11032)Time elapsed: 0.028 s
% 1.33/1.42 % (11032)Instructions burned: 88 (million)
% 1.33/1.42 % (11032)------------------------------
% 1.33/1.42 % (11032)------------------------------
% 1.33/1.43 % (11044)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_10834 for (2997ds/39Mi)
% 1.33/1.44 % (11035)Instruction limit reached!
% 1.33/1.44 % (11035)------------------------------
% 1.33/1.44 % (11035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.44 % (11035)Termination reason: Unknown
% 1.33/1.44 % (11035)Termination phase: Saturation
% 1.33/1.44
% 1.33/1.44 % (11035)Memory used [KB]: 5756
% 1.33/1.44 % (11035)Time elapsed: 0.055 s
% 1.33/1.44 % (11035)Instructions burned: 108 (million)
% 1.33/1.44 % (11035)------------------------------
% 1.33/1.44 % (11035)------------------------------
% 1.33/1.44 % (11044)Instruction limit reached!
% 1.33/1.44 % (11044)------------------------------
% 1.33/1.44 % (11044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.44 % (11044)Termination reason: Unknown
% 1.33/1.44 % (11044)Termination phase: Saturation
% 1.33/1.44
% 1.33/1.44 % (11044)Memory used [KB]: 6012
% 1.33/1.44 % (11044)Time elapsed: 0.012 s
% 1.33/1.44 % (11044)Instructions burned: 39 (million)
% 1.33/1.44 % (11044)------------------------------
% 1.33/1.44 % (11044)------------------------------
% 1.33/1.44 % (11056)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_10834 for (2997ds/448Mi)
% 1.33/1.45 % (11060)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_10834 for (2997ds/46Mi)
% 1.33/1.45 % (10958)Instruction limit reached!
% 1.33/1.45 % (10958)------------------------------
% 1.33/1.45 % (10958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.45 % (10958)Termination reason: Unknown
% 1.33/1.45 % (10958)Termination phase: Saturation
% 1.33/1.45
% 1.33/1.45 % (10958)Memory used [KB]: 7291
% 1.33/1.45 % (10958)Time elapsed: 0.218 s
% 1.33/1.45 % (10958)Instructions burned: 710 (million)
% 1.33/1.45 % (10958)------------------------------
% 1.33/1.45 % (10958)------------------------------
% 1.33/1.46 % (11066)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_10834 for (2996ds/98Mi)
% 1.33/1.47 % (11060)Instruction limit reached!
% 1.33/1.47 % (11060)------------------------------
% 1.33/1.47 % (11060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.47 % (11060)Termination reason: Unknown
% 1.33/1.47 % (11060)Termination phase: Saturation
% 1.33/1.47
% 1.33/1.47 % (11060)Memory used [KB]: 5756
% 1.33/1.47 % (11060)Time elapsed: 0.039 s
% 1.33/1.47 % (11060)Instructions burned: 48 (million)
% 1.33/1.47 % (11060)------------------------------
% 1.33/1.47 % (11060)------------------------------
% 1.33/1.48 % (11072)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_10834 for (2996ds/507Mi)
% 1.33/1.48 % (10942)Instruction limit reached!
% 1.33/1.48 % (10942)------------------------------
% 1.33/1.48 % (10942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.48 % (10942)Termination reason: Unknown
% 1.33/1.48 % (10942)Termination phase: Saturation
% 1.33/1.48
% 1.33/1.48 % (10942)Memory used [KB]: 6908
% 1.33/1.48 % (10942)Time elapsed: 0.301 s
% 1.33/1.48 % (10942)Instructions burned: 1043 (million)
% 1.33/1.48 % (10942)------------------------------
% 1.33/1.48 % (10942)------------------------------
% 1.33/1.49 % (10968)Instruction limit reached!
% 1.33/1.49 % (10968)------------------------------
% 1.33/1.49 % (10968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.49 % (10968)Termination reason: Unknown
% 1.33/1.49 % (10968)Termination phase: Saturation
% 1.33/1.49
% 1.33/1.49 % (10968)Memory used [KB]: 6908
% 1.33/1.49 % (10968)Time elapsed: 0.234 s
% 1.33/1.49 % (10968)Instructions burned: 780 (million)
% 1.33/1.49 % (10968)------------------------------
% 1.33/1.49 % (10968)------------------------------
% 1.33/1.49 % (11085)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_10834 for (2996ds/149Mi)
% 1.33/1.50 % (11091)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_10834 for (2996ds/39Mi)
% 1.33/1.50 % (11066)Instruction limit reached!
% 1.33/1.50 % (11066)------------------------------
% 1.33/1.50 % (11066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.50 % (11066)Termination reason: Unknown
% 1.33/1.50 % (11066)Termination phase: Saturation
% 1.33/1.50
% 1.33/1.50 % (11066)Memory used [KB]: 1279
% 1.33/1.50 % (11066)Time elapsed: 0.063 s
% 1.33/1.50 % (11066)Instructions burned: 101 (million)
% 1.33/1.50 % (11066)------------------------------
% 1.33/1.50 % (11066)------------------------------
% 1.33/1.51 % (10960)Instruction limit reached!
% 1.33/1.51 % (10960)------------------------------
% 1.33/1.51 % (10960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.51 % (10960)Termination reason: Unknown
% 1.33/1.51 % (10960)Termination phase: Saturation
% 1.33/1.51
% 1.33/1.51 % (10960)Memory used [KB]: 6908
% 1.33/1.51 % (10960)Time elapsed: 0.270 s
% 1.33/1.51 % (10960)Instructions burned: 905 (million)
% 1.33/1.51 % (10960)------------------------------
% 1.33/1.51 % (10960)------------------------------
% 1.33/1.51 % (11094)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_10834 for (2996ds/6Mi)
% 1.33/1.51 % (11091)Instruction limit reached!
% 1.33/1.51 % (11091)------------------------------
% 1.33/1.51 % (11091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.51 % (11091)Termination reason: Unknown
% 1.33/1.51 % (11091)Termination phase: Saturation
% 1.33/1.51
% 1.33/1.51 % (11091)Memory used [KB]: 5628
% 1.33/1.51 % (11091)Time elapsed: 0.014 s
% 1.33/1.51 % (11091)Instructions burned: 40 (million)
% 1.33/1.51 % (11091)------------------------------
% 1.33/1.51 % (11091)------------------------------
% 1.33/1.52 % (11094)Instruction limit reached!
% 1.33/1.52 % (11094)------------------------------
% 1.33/1.52 % (11094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.52 % (11094)Termination reason: Unknown
% 1.33/1.52 % (11094)Termination phase: Saturation
% 1.33/1.52
% 1.33/1.52 % (11094)Memory used [KB]: 9978
% 1.33/1.52 % (11094)Time elapsed: 0.004 s
% 1.33/1.52 % (11094)Instructions burned: 8 (million)
% 1.33/1.52 % (11094)------------------------------
% 1.33/1.52 % (11094)------------------------------
% 1.33/1.52 % (11095)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_10834 for (2996ds/1087Mi)
% 1.33/1.52 % (11101)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_10834 for (2996ds/47Mi)
% 1.33/1.52 % (11105)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_10834 for (2996ds/44Mi)
% 1.33/1.54 % (11101)Instruction limit reached!
% 1.33/1.54 % (11101)------------------------------
% 1.33/1.54 % (11101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.54 % (11101)Termination reason: Unknown
% 1.33/1.54 % (11101)Termination phase: Saturation
% 1.33/1.54
% 1.33/1.54 % (11101)Memory used [KB]: 5756
% 1.33/1.54 % (11101)Time elapsed: 0.017 s
% 1.33/1.54 % (11101)Instructions burned: 48 (million)
% 1.33/1.54 % (11101)------------------------------
% 1.33/1.54 % (11101)------------------------------
% 1.33/1.54 % (11105)Instruction limit reached!
% 1.33/1.54 % (11105)------------------------------
% 1.33/1.54 % (11105)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.54 % (11105)Termination reason: Unknown
% 1.33/1.54 % (11105)Termination phase: Saturation
% 1.33/1.54
% 1.33/1.54 % (11105)Memory used [KB]: 1279
% 1.33/1.54 % (11105)Time elapsed: 0.016 s
% 1.33/1.54 % (11105)Instructions burned: 46 (million)
% 1.33/1.54 % (11105)------------------------------
% 1.33/1.54 % (11105)------------------------------
% 1.33/1.54 % (11085)Instruction limit reached!
% 1.33/1.54 % (11085)------------------------------
% 1.33/1.54 % (11085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.54 % (11085)Termination reason: Unknown
% 1.33/1.54 % (11085)Termination phase: Saturation
% 1.33/1.54
% 1.33/1.54 % (11085)Memory used [KB]: 6012
% 1.33/1.54 % (11085)Time elapsed: 0.072 s
% 1.33/1.54 % (11085)Instructions burned: 149 (million)
% 1.33/1.54 % (11085)------------------------------
% 1.33/1.54 % (11085)------------------------------
% 1.33/1.54 % (10977)Instruction limit reached!
% 1.33/1.54 % (10977)------------------------------
% 1.33/1.54 % (10977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.54 % (10977)Termination reason: Unknown
% 1.33/1.54 % (10977)Termination phase: Saturation
% 1.33/1.54
% 1.33/1.54 % (10977)Memory used [KB]: 7036
% 1.33/1.54 % (10977)Time elapsed: 0.268 s
% 1.33/1.54 % (10977)Instructions burned: 879 (million)
% 1.33/1.54 % (10977)------------------------------
% 1.33/1.54 % (10977)------------------------------
% 1.33/1.55 % (11115)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_10834 for (2995ds/432Mi)
% 1.33/1.55 % (11117)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_10834 for (2995ds/62Mi)
% 1.33/1.55 % (11118)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_10834 for (2995ds/31Mi)
% 1.33/1.55 % (11120)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_10834 for (2995ds/96Mi)
% 1.33/1.56 % (11118)Instruction limit reached!
% 1.33/1.56 % (11118)------------------------------
% 1.33/1.56 % (11118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.56 % (11118)Termination reason: Unknown
% 1.33/1.56 % (11118)Termination phase: Saturation
% 1.33/1.56
% 1.33/1.56 % (11118)Memory used [KB]: 5628
% 1.33/1.56 % (11118)Time elapsed: 0.011 s
% 1.33/1.56 % (11118)Instructions burned: 31 (million)
% 1.33/1.56 % (11118)------------------------------
% 1.33/1.56 % (11118)------------------------------
% 1.33/1.57 % (11117)Instruction limit reached!
% 1.33/1.57 % (11117)------------------------------
% 1.33/1.57 % (11117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.57 % (11117)Termination reason: Unknown
% 1.33/1.57 % (11117)Termination phase: Saturation
% 1.33/1.57
% 1.33/1.57 % (11117)Memory used [KB]: 5884
% 1.33/1.57 % (11117)Time elapsed: 0.020 s
% 1.33/1.57 % (11117)Instructions burned: 63 (million)
% 1.33/1.57 % (11117)------------------------------
% 1.33/1.57 % (11117)------------------------------
% 1.33/1.57 % (11130)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_10834 for (2995ds/453Mi)
% 1.33/1.58 % (11133)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_10834 for (2995ds/71Mi)
% 1.33/1.58 % (11056)Instruction limit reached!
% 1.33/1.58 % (11056)------------------------------
% 1.33/1.58 % (11056)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.58 % (11056)Termination reason: Unknown
% 1.33/1.58 % (11056)Termination phase: Saturation
% 1.33/1.58
% 1.33/1.58 % (11056)Memory used [KB]: 6268
% 1.33/1.58 % (11056)Time elapsed: 0.158 s
% 1.33/1.58 % (11056)Instructions burned: 448 (million)
% 1.33/1.58 % (11056)------------------------------
% 1.33/1.58 % (11056)------------------------------
% 1.33/1.58 % (11120)Instruction limit reached!
% 1.33/1.58 % (11120)------------------------------
% 1.33/1.58 % (11120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.58 % (11120)Termination reason: Unknown
% 1.33/1.58 % (11120)Termination phase: Saturation
% 1.33/1.58
% 1.33/1.58 % (11120)Memory used [KB]: 5756
% 1.33/1.58 % (11120)Time elapsed: 0.031 s
% 1.33/1.58 % (11120)Instructions burned: 97 (million)
% 1.33/1.58 % (11120)------------------------------
% 1.33/1.58 % (11120)------------------------------
% 1.33/1.59 % (11139)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_10834 for (2995ds/83Mi)
% 1.33/1.59 % (11141)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_10834 for (2995ds/11Mi)
% 1.33/1.60 % (11141)Instruction limit reached!
% 1.33/1.60 % (11141)------------------------------
% 1.33/1.60 % (11141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.60 % (11141)Termination reason: Unknown
% 1.33/1.60 % (11141)Termination phase: Saturation
% 1.33/1.60
% 1.33/1.60 % (11141)Memory used [KB]: 5500
% 1.33/1.60 % (11141)Time elapsed: 0.005 s
% 1.33/1.60 % (11141)Instructions burned: 13 (million)
% 1.33/1.60 % (11141)------------------------------
% 1.33/1.60 % (11141)------------------------------
% 1.33/1.60 % (11133)Instruction limit reached!
% 1.33/1.60 % (11133)------------------------------
% 1.33/1.60 % (11133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.60 % (11133)Termination reason: Unknown
% 1.33/1.60 % (11133)Termination phase: Saturation
% 1.33/1.60
% 1.33/1.60 % (11133)Memory used [KB]: 5756
% 1.33/1.60 % (11133)Time elapsed: 0.025 s
% 1.33/1.60 % (11133)Instructions burned: 73 (million)
% 1.33/1.60 % (11133)------------------------------
% 1.33/1.60 % (11133)------------------------------
% 1.33/1.61 % (11146)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_10834 for (2995ds/41Mi)
% 1.33/1.61 % (11148)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_10834 for (2995ds/6Mi)
% 1.33/1.61 % (11146)Refutation not found, incomplete strategy
% 1.33/1.61 % (11146)------------------------------
% 1.33/1.61 % (11146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.61 % (11146)Termination reason: Refutation not found, incomplete strategy
% 1.33/1.61
% 1.33/1.61
% 1.33/1.61 % (11146)Memory used [KB]: 5500
% 1.33/1.61 % (11146)Time elapsed: 0.006 s
% 1.33/1.61 % (11146)Instructions burned: 14 (million)
% 1.33/1.61 % (11146)------------------------------
% 1.33/1.61 % (11146)------------------------------
% 1.33/1.61 % (11148)Instruction limit reached!
% 1.33/1.61 % (11148)------------------------------
% 1.33/1.61 % (11148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.61 % (11148)Termination reason: Unknown
% 1.33/1.61 % (11148)Termination phase: Saturation
% 1.33/1.61
% 1.33/1.61 % (11148)Memory used [KB]: 5500
% 1.33/1.61 % (11148)Time elapsed: 0.004 s
% 1.33/1.61 % (11148)Instructions burned: 7 (million)
% 1.33/1.61 % (11148)------------------------------
% 1.33/1.61 % (11148)------------------------------
% 1.33/1.62 % (11139)Instruction limit reached!
% 1.33/1.62 % (11139)------------------------------
% 1.33/1.62 % (11139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.62 % (11139)Termination reason: Unknown
% 1.33/1.62 % (11139)Termination phase: Saturation
% 1.33/1.62
% 1.33/1.62 % (11139)Memory used [KB]: 5884
% 1.33/1.62 % (11139)Time elapsed: 0.028 s
% 1.33/1.62 % (11139)Instructions burned: 83 (million)
% 1.33/1.62 % (11139)------------------------------
% 1.33/1.62 % (11139)------------------------------
% 1.33/1.62 % (11152)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_10834 for (2995ds/150Mi)
% 1.33/1.62 % (11154)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_10834 for (2995ds/343Mi)
% 1.33/1.63 % (11156)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_10834 for (2995ds/109Mi)
% 1.33/1.63 % (11072)Instruction limit reached!
% 1.33/1.63 % (11072)------------------------------
% 1.33/1.63 % (11072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.63 % (11072)Termination reason: Unknown
% 1.33/1.63 % (11072)Termination phase: Saturation
% 1.33/1.63
% 1.33/1.63 % (11072)Memory used [KB]: 6524
% 1.33/1.63 % (11072)Time elapsed: 0.183 s
% 1.33/1.63 % (11072)Instructions burned: 508 (million)
% 1.33/1.63 % (11072)------------------------------
% 1.33/1.63 % (11072)------------------------------
% 1.33/1.64 % (11165)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_10834 for (2995ds/253Mi)
% 1.33/1.66 % (11156)Instruction limit reached!
% 1.33/1.66 % (11156)------------------------------
% 1.33/1.66 % (11156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.66 % (11156)Termination reason: Unknown
% 1.33/1.66 % (11156)Termination phase: Saturation
% 1.33/1.66
% 1.33/1.66 % (11156)Memory used [KB]: 6268
% 1.33/1.66 % (11156)Time elapsed: 0.037 s
% 1.33/1.66 % (11156)Instructions burned: 110 (million)
% 1.33/1.66 % (11156)------------------------------
% 1.33/1.66 % (11156)------------------------------
% 1.33/1.67 % (11152)Instruction limit reached!
% 1.33/1.67 % (11152)------------------------------
% 1.33/1.67 % (11152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.67 % (11152)Termination reason: Unknown
% 1.33/1.67 % (11152)Termination phase: Saturation
% 1.33/1.67
% 1.33/1.67 % (11152)Memory used [KB]: 6268
% 1.33/1.67 % (11152)Time elapsed: 0.048 s
% 1.33/1.67 % (11152)Instructions burned: 152 (million)
% 1.33/1.67 % (11152)------------------------------
% 1.33/1.67 % (11152)------------------------------
% 1.33/1.67 % (11173)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_10834 for (2994ds/140Mi)
% 1.33/1.67 % (11115)Instruction limit reached!
% 1.33/1.67 % (11115)------------------------------
% 1.33/1.67 % (11115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.67 % (11115)Termination reason: Unknown
% 1.33/1.67 % (11115)Termination phase: Saturation
% 1.33/1.67
% 1.33/1.67 % (11115)Memory used [KB]: 2814
% 1.33/1.67 % (11115)Time elapsed: 0.124 s
% 1.33/1.67 % (11115)Instructions burned: 433 (million)
% 1.33/1.67 % (11115)------------------------------
% 1.33/1.67 % (11115)------------------------------
% 1.33/1.68 % (11173)Refutation not found, incomplete strategy
% 1.33/1.68 % (11173)------------------------------
% 1.33/1.68 % (11173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.68 % (11173)Termination reason: Refutation not found, incomplete strategy
% 1.33/1.68
% 1.33/1.68
% 1.33/1.68 % (11173)Memory used [KB]: 5500
% 1.33/1.68 % (11173)Time elapsed: 0.005 s
% 1.33/1.68 % (11173)Instructions burned: 12 (million)
% 1.33/1.68 % (11173)------------------------------
% 1.33/1.68 % (11173)------------------------------
% 1.33/1.68 % (11175)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_10834 for (2994ds/614Mi)
% 1.33/1.68 % (11178)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_10834 for (2994ds/202Mi)
% 1.33/1.68 % (11180)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_10834 for (2994ds/339Mi)
% 1.33/1.70 % (11130)Instruction limit reached!
% 1.33/1.70 % (11130)------------------------------
% 1.33/1.70 % (11130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.70 % (11130)Termination reason: Unknown
% 1.33/1.70 % (11130)Termination phase: Saturation
% 1.33/1.70
% 1.33/1.70 % (11130)Memory used [KB]: 6012
% 1.33/1.70 % (11130)Time elapsed: 0.131 s
% 1.33/1.70 % (11130)Instructions burned: 455 (million)
% 1.33/1.70 % (11130)------------------------------
% 1.33/1.70 % (11130)------------------------------
% 1.33/1.71 % (11187)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=283:si=on:rtra=on_0 on DTF2THF_10834 for (2994ds/283Mi)
% 1.33/1.72 % (11165)Instruction limit reached!
% 1.33/1.72 % (11165)------------------------------
% 1.33/1.72 % (11165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.72 % (11165)Termination reason: Unknown
% 1.33/1.72 % (11165)Termination phase: Saturation
% 1.33/1.72
% 1.33/1.72 % (11165)Memory used [KB]: 6012
% 1.33/1.72 % (11165)Time elapsed: 0.079 s
% 1.33/1.72 % (11165)Instructions burned: 256 (million)
% 1.33/1.72 % (11165)------------------------------
% 1.33/1.72 % (11165)------------------------------
% 1.33/1.73 % (11154)Instruction limit reached!
% 1.33/1.73 % (11154)------------------------------
% 1.33/1.73 % (11154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.73 % (11154)Termination reason: Unknown
% 1.33/1.73 % (11154)Termination phase: Saturation
% 1.33/1.73
% 1.33/1.73 % (11154)Memory used [KB]: 6268
% 1.33/1.73 % (11154)Time elapsed: 0.106 s
% 1.33/1.73 % (11154)Instructions burned: 343 (million)
% 1.33/1.73 % (11154)------------------------------
% 1.33/1.73 % (11154)------------------------------
% 1.33/1.73 % (11197)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_10834 for (2994ds/134Mi)
% 1.33/1.74 % (11199)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_10834 for (2994ds/298Mi)
% 1.33/1.74 % (11178)Instruction limit reached!
% 1.33/1.74 % (11178)------------------------------
% 1.33/1.74 % (11178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.74 % (11178)Termination reason: Unknown
% 1.33/1.74 % (11178)Termination phase: Saturation
% 1.33/1.74
% 1.33/1.74 % (11178)Memory used [KB]: 6140
% 1.33/1.74 % (11178)Time elapsed: 0.064 s
% 1.33/1.74 % (11178)Instructions burned: 205 (million)
% 1.33/1.74 % (11178)------------------------------
% 1.33/1.74 % (11178)------------------------------
% 1.33/1.75 % (11204)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_10834 for (2994ds/192Mi)
% 1.33/1.77 % (11197)Instruction limit reached!
% 1.33/1.77 % (11197)------------------------------
% 1.33/1.77 % (11197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.77 % (11197)Termination reason: Unknown
% 1.33/1.77 % (11197)Termination phase: Saturation
% 1.33/1.77
% 1.33/1.77 % (11197)Memory used [KB]: 6268
% 1.33/1.77 % (11197)Time elapsed: 0.044 s
% 1.33/1.77 % (11197)Instructions burned: 136 (million)
% 1.33/1.77 % (11197)------------------------------
% 1.33/1.77 % (11197)------------------------------
% 1.33/1.78 % (11221)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_10834 for (2993ds/258Mi)
% 1.33/1.79 % (11180)Instruction limit reached!
% 1.33/1.79 % (11180)------------------------------
% 1.33/1.79 % (11180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.79 % (11180)Termination reason: Unknown
% 1.33/1.79 % (11180)Termination phase: Saturation
% 1.33/1.79
% 1.33/1.79 % (11180)Memory used [KB]: 6268
% 1.33/1.79 % (11180)Time elapsed: 0.105 s
% 1.33/1.79 % (11180)Instructions burned: 340 (million)
% 1.33/1.79 % (11180)------------------------------
% 1.33/1.79 % (11180)------------------------------
% 1.33/1.79 % (11187)Instruction limit reached!
% 1.33/1.79 % (11187)------------------------------
% 1.33/1.79 % (11187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.79 % (11187)Termination reason: Unknown
% 1.33/1.79 % (11187)Termination phase: Saturation
% 1.33/1.79
% 1.33/1.79 % (11187)Memory used [KB]: 7675
% 1.33/1.79 % (11187)Time elapsed: 0.083 s
% 1.33/1.79 % (11187)Instructions burned: 286 (million)
% 1.33/1.79 % (11187)------------------------------
% 1.33/1.79 % (11187)------------------------------
% 1.33/1.80 % (11231)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_10834 for (2993ds/90Mi)
% 1.33/1.80 % (11233)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_10834 for (2993ds/231Mi)
% 1.33/1.81 % (11204)Instruction limit reached!
% 1.33/1.81 % (11204)------------------------------
% 1.33/1.81 % (11204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.81 % (11204)Termination reason: Unknown
% 1.33/1.81 % (11204)Termination phase: Saturation
% 1.33/1.81
% 1.33/1.81 % (11204)Memory used [KB]: 6652
% 1.33/1.81 % (11204)Time elapsed: 0.056 s
% 1.33/1.81 % (11204)Instructions burned: 192 (million)
% 1.33/1.81 % (11204)------------------------------
% 1.33/1.81 % (11204)------------------------------
% 1.33/1.82 % (11243)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_10834 for (2993ds/458Mi)
% 1.33/1.83 % (11231)Instruction limit reached!
% 1.33/1.83 % (11231)------------------------------
% 1.33/1.83 % (11231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.83 % (11231)Termination reason: Unknown
% 1.33/1.83 % (11231)Termination phase: Saturation
% 1.33/1.83
% 1.33/1.83 % (11231)Memory used [KB]: 6012
% 1.33/1.83 % (11231)Time elapsed: 0.031 s
% 1.33/1.83 % (11231)Instructions burned: 92 (million)
% 1.33/1.83 % (11231)------------------------------
% 1.33/1.83 % (11231)------------------------------
% 1.33/1.83 % (11199)Instruction limit reached!
% 1.33/1.83 % (11199)------------------------------
% 1.33/1.83 % (11199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.83 % (11199)Termination reason: Unknown
% 1.33/1.83 % (11199)Termination phase: Saturation
% 1.33/1.83
% 1.33/1.83 % (11199)Memory used [KB]: 6268
% 1.33/1.83 % (11199)Time elapsed: 0.093 s
% 1.33/1.83 % (11199)Instructions burned: 298 (million)
% 1.33/1.83 % (11199)------------------------------
% 1.33/1.83 % (11199)------------------------------
% 1.33/1.84 % (11095)Instruction limit reached!
% 1.33/1.84 % (11095)------------------------------
% 1.33/1.84 % (11095)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.84 % (11095)Termination reason: Unknown
% 1.33/1.84 % (11095)Termination phase: Saturation
% 1.33/1.84
% 1.33/1.84 % (11095)Memory used [KB]: 7036
% 1.33/1.84 % (11095)Time elapsed: 0.319 s
% 1.33/1.84 % (11095)Instructions burned: 1087 (million)
% 1.33/1.84 % (11095)------------------------------
% 1.33/1.84 % (11095)------------------------------
% 1.33/1.84 % (11249)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_10834 for (2993ds/31Mi)
% 1.33/1.84 % (11250)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_10834 for (2993ds/297Mi)
% 1.33/1.85 % (11251)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_10834 for (2993ds/987Mi)
% 1.33/1.85 % (11249)Instruction limit reached!
% 1.33/1.85 % (11249)------------------------------
% 1.33/1.85 % (11249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.85 % (11249)Termination reason: Unknown
% 1.33/1.85 % (11249)Termination phase: Saturation
% 1.33/1.85
% 1.33/1.85 % (11249)Memory used [KB]: 5628
% 1.33/1.85 % (11249)Time elapsed: 0.012 s
% 1.33/1.85 % (11249)Instructions burned: 32 (million)
% 1.33/1.85 % (11249)------------------------------
% 1.33/1.85 % (11249)------------------------------
% 1.33/1.86 % (11252)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_10834 for (2992ds/182Mi)
% 1.33/1.86 % (11221)Instruction limit reached!
% 1.33/1.86 % (11221)------------------------------
% 1.33/1.86 % (11221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.86 % (11221)Termination reason: Unknown
% 1.33/1.86 % (11221)Termination phase: Saturation
% 1.33/1.86
% 1.33/1.86 % (11221)Memory used [KB]: 6012
% 1.33/1.86 % (11221)Time elapsed: 0.079 s
% 1.33/1.86 % (11221)Instructions burned: 259 (million)
% 1.33/1.86 % (11221)------------------------------
% 1.33/1.86 % (11221)------------------------------
% 1.33/1.86 % (11175)Instruction limit reached!
% 1.33/1.86 % (11175)------------------------------
% 1.33/1.86 % (11175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.86 % (11175)Termination reason: Unknown
% 1.33/1.86 % (11175)Termination phase: Saturation
% 1.33/1.86
% 1.33/1.86 % (11175)Memory used [KB]: 6652
% 1.33/1.86 % (11175)Time elapsed: 0.186 s
% 1.33/1.86 % (11175)Instructions burned: 616 (million)
% 1.33/1.86 % (11175)------------------------------
% 1.33/1.86 % (11175)------------------------------
% 1.33/1.87 % (11233)Instruction limit reached!
% 1.33/1.87 % (11233)------------------------------
% 1.33/1.87 % (11233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.87 % (11233)Termination reason: Unknown
% 1.33/1.87 % (11233)Termination phase: Saturation
% 1.33/1.87
% 1.33/1.87 % (11233)Memory used [KB]: 6268
% 1.33/1.87 % (11233)Time elapsed: 0.067 s
% 1.33/1.87 % (11233)Instructions burned: 231 (million)
% 1.33/1.87 % (11233)------------------------------
% 1.33/1.87 % (11233)------------------------------
% 1.33/1.87 % (11253)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_10834 for (2992ds/182Mi)
% 1.33/1.87 % (11254)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_10834 for (2992ds/154Mi)
% 1.33/1.88 % (11255)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_10834 for (2992ds/79Mi)
% 1.33/1.90 % (11255)Instruction limit reached!
% 1.33/1.90 % (11255)------------------------------
% 1.33/1.90 % (11255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.90 % (11255)Termination reason: Unknown
% 1.33/1.90 % (11255)Termination phase: Saturation
% 1.33/1.90
% 1.33/1.90 % (11255)Memory used [KB]: 5756
% 1.33/1.90 % (11255)Time elapsed: 0.027 s
% 1.33/1.90 % (11255)Instructions burned: 79 (million)
% 1.33/1.90 % (11255)------------------------------
% 1.33/1.90 % (11255)------------------------------
% 1.33/1.91 % (11256)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_10834 for (2992ds/216Mi)
% 1.33/1.92 % (11252)Instruction limit reached!
% 1.33/1.92 % (11252)------------------------------
% 1.33/1.92 % (11252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.92 % (11252)Termination reason: Unknown
% 1.33/1.92 % (11252)Termination phase: Saturation
% 1.33/1.92
% 1.33/1.92 % (11252)Memory used [KB]: 6268
% 1.33/1.92 % (11252)Time elapsed: 0.058 s
% 1.33/1.92 % (11252)Instructions burned: 184 (million)
% 1.33/1.92 % (11252)------------------------------
% 1.33/1.92 % (11252)------------------------------
% 1.33/1.92 % (11254)Instruction limit reached!
% 1.33/1.92 % (11254)------------------------------
% 1.33/1.92 % (11254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.92 % (11254)Termination reason: Unknown
% 1.33/1.92 % (11254)Termination phase: Saturation
% 1.33/1.92
% 1.33/1.92 % (11254)Memory used [KB]: 6140
% 1.33/1.92 % (11254)Time elapsed: 0.048 s
% 1.33/1.92 % (11254)Instructions burned: 155 (million)
% 1.33/1.92 % (11254)------------------------------
% 1.33/1.92 % (11254)------------------------------
% 1.33/1.92 % (11257)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_10834 for (2992ds/114Mi)
% 1.33/1.93 % (11253)Instruction limit reached!
% 1.33/1.93 % (11253)------------------------------
% 1.33/1.93 % (11253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.93 % (11253)Termination reason: Unknown
% 1.33/1.93 % (11253)Termination phase: Saturation
% 1.33/1.93
% 1.33/1.93 % (11253)Memory used [KB]: 5884
% 1.33/1.93 % (11253)Time elapsed: 0.057 s
% 1.33/1.93 % (11253)Instructions burned: 182 (million)
% 1.33/1.93 % (11253)------------------------------
% 1.33/1.93 % (11253)------------------------------
% 1.33/1.93 % (11258)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_10834 for (2992ds/922Mi)
% 1.33/1.93 % (11250)Instruction limit reached!
% 1.33/1.93 % (11250)------------------------------
% 1.33/1.93 % (11250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.93 % (11250)Termination reason: Unknown
% 1.33/1.93 % (11250)Termination phase: Saturation
% 1.33/1.93
% 1.33/1.93 % (11250)Memory used [KB]: 6524
% 1.33/1.93 % (11250)Time elapsed: 0.112 s
% 1.33/1.93 % (11250)Instructions burned: 299 (million)
% 1.33/1.93 % (11250)------------------------------
% 1.33/1.93 % (11250)------------------------------
% 1.33/1.94 % (11259)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_10834 for (2992ds/182Mi)
% 1.33/1.94 % (11260)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_10834 for (2992ds/164Mi)
% 1.33/1.95 % (11243)Instruction limit reached!
% 1.33/1.95 % (11243)------------------------------
% 1.33/1.95 % (11243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.95 % (11243)Termination reason: Unknown
% 1.33/1.95 % (11243)Termination phase: Saturation
% 1.33/1.95
% 1.33/1.95 % (11243)Memory used [KB]: 6396
% 1.33/1.95 % (11243)Time elapsed: 0.136 s
% 1.33/1.95 % (11243)Instructions burned: 461 (million)
% 1.33/1.95 % (11243)------------------------------
% 1.33/1.95 % (11243)------------------------------
% 1.33/1.96 % (11257)Instruction limit reached!
% 1.33/1.96 % (11257)------------------------------
% 1.33/1.96 % (11257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.96 % (11257)Termination reason: Unknown
% 1.33/1.96 % (11257)Termination phase: Saturation
% 1.33/1.96
% 1.33/1.96 % (11257)Memory used [KB]: 6268
% 1.33/1.96 % (11257)Time elapsed: 0.032 s
% 1.33/1.96 % (11257)Instructions burned: 114 (million)
% 1.33/1.96 % (11257)------------------------------
% 1.33/1.96 % (11257)------------------------------
% 1.33/1.96 % (11261)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_10834 for (2991ds/50Mi)
% 1.33/1.96 % (11262)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_10834 for (2991ds/368Mi)
% 1.33/1.97 % (11251)First to succeed.
% 1.33/1.97 % (11256)Instruction limit reached!
% 1.33/1.97 % (11256)------------------------------
% 1.33/1.97 % (11256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.97 % (11256)Termination reason: Unknown
% 1.33/1.97 % (11256)Termination phase: Saturation
% 1.33/1.97
% 1.33/1.97 % (11256)Memory used [KB]: 6268
% 1.33/1.97 % (11256)Time elapsed: 0.065 s
% 1.33/1.97 % (11256)Instructions burned: 217 (million)
% 1.33/1.97 % (11256)------------------------------
% 1.33/1.97 % (11256)------------------------------
% 1.33/1.98 % (11251)Refutation found. Thanks to Tanya!
% 1.33/1.98 % SZS status Theorem for DTF2THF_10834
% 1.33/1.98 % SZS output start Proof for DTF2THF_10834
% 1.33/1.98 thf(func_def_15, type, ph1: !>[X0: $tType]:(X0)).
% 1.33/1.98 thf(func_def_16, type, sK2: ($i > $o) > $i > $o).
% 1.33/1.98 thf(func_def_20, type, sK6: $i > $o).
% 1.33/1.98 thf(func_def_21, type, sK7: ($i > $o) > $i).
% 1.33/1.98 thf(func_def_22, type, sK8: ($i > $o) > $i).
% 1.33/1.98 thf(func_def_23, type, sK9: ($i > $o) > $i).
% 1.33/1.98 thf(func_def_24, type, sK10: $i > $o).
% 1.33/1.98 thf(func_def_25, type, sK11: ($i > $o) > $i).
% 1.33/1.98 thf(f1852,plain,(
% 1.33/1.98 $false),
% 1.33/1.98 inference(trivial_inequality_removal,[status(thm)],[f1844])).
% 1.33/1.98 thf(f1844,plain,(
% 1.33/1.98 ($false = $true)),
% 1.33/1.98 inference(backward_demodulation,[status(thm)],[f85,f1783])).
% 1.33/1.98 thf(f1783,plain,(
% 1.33/1.98 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (sK2 @ sK6 @ Y0)))))),
% 1.33/1.98 inference(boolean_simplification,[status(thm)],[f1727])).
% 1.33/1.98 thf(f1727,plain,(
% 1.33/1.98 ($false = ((!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (sK2 @ sK6 @ Y0)))) & $true))),
% 1.33/1.98 inference(superposition,[status(thm)],[f1714,f1708])).
% 1.33/1.98 thf(f1708,plain,(
% 1.33/1.98 ((sK6 @ sK12) = $true)),
% 1.33/1.98 inference(binary_proxy_clausification,[status(thm)],[f1706])).
% 1.33/1.98 thf(f1706,plain,(
% 1.33/1.98 (((sK6 @ sK12) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK12))))) = $false)),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f1705])).
% 1.33/1.98 thf(f1705,plain,(
% 1.33/1.98 (((^[Y0 : $i]: ((sK6 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0)))))) @ sK12) = $false)),
% 1.33/1.98 inference(sigma_clausification,[status(thm)],[f1702])).
% 1.33/1.98 thf(f1702,plain,(
% 1.33/1.98 ((!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))))) = $false)),
% 1.33/1.98 inference(trivial_inequality_removal,[status(thm)],[f1701])).
% 1.33/1.98 thf(f1701,plain,(
% 1.33/1.98 ((!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))))) = $false) | ($false = $true)),
% 1.33/1.98 inference(forward_demodulation,[status(thm)],[f1670,f79])).
% 1.33/1.98 thf(f79,plain,(
% 1.33/1.98 ((sK6 @ sK5) = $true)),
% 1.33/1.98 inference(binary_proxy_clausification,[status(thm)],[f66])).
% 1.33/1.98 thf(f66,plain,(
% 1.33/1.98 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (sK2 @ sK6 @ Y0)))) & (sK6 @ sK5)))),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f64])).
% 1.33/1.98 thf(f64,plain,(
% 1.33/1.98 ($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK5))) @ sK6))),
% 1.33/1.98 inference(sigma_clausification,[status(thm)],[f60])).
% 1.33/1.98 thf(f60,plain,(
% 1.33/1.98 ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK5)))) = $true)),
% 1.33/1.98 inference(binary_proxy_clausification,[status(thm)],[f58])).
% 1.33/1.98 thf(f58,plain,(
% 1.33/1.98 ($false = ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK5)))) => (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK5)))),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f57])).
% 1.33/1.98 thf(f57,plain,(
% 1.33/1.98 (((^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0)))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))) @ sK5) = $false)),
% 1.33/1.98 inference(sigma_clausification,[status(thm)],[f52])).
% 1.33/1.98 thf(f52,plain,(
% 1.33/1.98 ($false = (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0)))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))))),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f51])).
% 1.33/1.98 thf(f51,plain,(
% 1.33/1.98 ($false = (!! @ $i @ (^[Y0 : $i]: (((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))))),
% 1.33/1.98 inference(trivial_inequality_removal,[status(thm)],[f43])).
% 1.33/1.98 thf(f43,plain,(
% 1.33/1.98 ($false = (!! @ $i @ (^[Y0 : $i]: (((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))))) | ($false = $true)),
% 1.33/1.98 inference(superposition,[status(thm)],[f38,f20])).
% 1.33/1.98 thf(f20,plain,(
% 1.33/1.98 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ X2 @ Y0) => (sK2 @ X1 @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (X1 @ Y0)))))) )),
% 1.33/1.98 inference(binary_proxy_clausification,[status(thm)],[f19])).
% 1.33/1.98 thf(f19,plain,(
% 1.33/1.98 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (X1 @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK2 @ X2 @ Y0) => (sK2 @ X1 @ Y0))))))) )),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f18])).
% 1.33/1.98 thf(f18,plain,(
% 1.33/1.98 ( ! [X2 : $i > $o,X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (X1 @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK2 @ X1 @ Y1)))))) @ X2) = $true)) )),
% 1.33/1.98 inference(pi_clausification,[status(thm)],[f17])).
% 1.33/1.98 thf(f17,plain,(
% 1.33/1.98 ( ! [X1 : $i > $o] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (X1 @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK2 @ X1 @ Y1))))))))) )),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f15])).
% 1.33/1.98 thf(f15,plain,(
% 1.33/1.98 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y0 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (sK2 @ Y0 @ Y2)))))))) @ X1))) )),
% 1.33/1.98 inference(pi_clausification,[status(thm)],[f13])).
% 1.33/1.98 thf(f13,plain,(
% 1.33/1.98 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y0 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (sK2 @ Y0 @ Y2))))))))) = $true)),
% 1.33/1.98 inference(binary_proxy_clausification,[status(thm)],[f10])).
% 1.33/1.98 thf(f10,plain,(
% 1.33/1.98 ($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (Y0 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK2 @ Y1 @ Y2) => (sK2 @ Y0 @ Y2))))))))) => (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0)))))))))),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f9])).
% 1.33/1.98 thf(f9,plain,(
% 1.33/1.98 ($false = ((^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y1 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y0 @ Y1 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1))))))))) @ sK2))),
% 1.33/1.98 inference(sigma_clausification,[status(thm)],[f7])).
% 1.33/1.98 thf(f7,plain,(
% 1.33/1.98 ($false = (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y1 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y0 @ Y1 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))))))))))),
% 1.33/1.98 inference(not_proxy_clausification,[status(thm)],[f6])).
% 1.33/1.98 thf(f6,plain,(
% 1.33/1.98 ((~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y1 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y0 @ Y1 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1))))))))))) = $true)),
% 1.33/1.98 inference(cnf_transformation,[status(thm)],[f5])).
% 1.33/1.98 thf(f5,plain,(
% 1.33/1.98 ((~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y1 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y0 @ Y1 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1))))))))))) = $true)),
% 1.33/1.98 inference(fool_elimination,[status(thm)],[f4])).
% 1.33/1.98 thf(f4,plain,(
% 1.33/1.98 ~! [X0 : ($i > $o) > $i > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (! [X3 : $i] : ((X1 @ X3) => (X2 @ X3)) => ! [X4 : $i] : ((X0 @ X1 @ X4) => (X0 @ X2 @ X4))) => ! [X5 : $i] : ((X0 @ (^[X6 : $i] : (? [X7 : $i > $o] : ((X7 @ X6) & ! [X8 : $i] : ((X7 @ X8) => (X0 @ X7 @ X8))))) @ X5) => ? [X9 : $i > $o] : ((X9 @ X5) & ! [X10 : $i] : ((X9 @ X10) => (X0 @ X9 @ X10)))))),
% 1.33/1.98 inference(rectify,[status(thm)],[f2])).
% 1.33/1.98 thf(f2,negated_conjecture,(
% 1.33/1.98 ~! [X0 : ($i > $o) > $i > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (! [X3 : $i] : ((X1 @ X3) => (X2 @ X3)) => ! [X3 : $i] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3))) => ! [X1 : $i] : ((X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : ((X4 @ X3) & ! [X5 : $i] : ((X4 @ X5) => (X0 @ X4 @ X5))))) @ X1) => ? [X4 : $i > $o] : ((X4 @ X1) & ! [X3 : $i] : ((X4 @ X3) => (X0 @ X4 @ X3)))))),
% 1.33/1.98 inference(negated_conjecture,[status(cth)],[f1])).
% 1.33/1.98 thf(f1,conjecture,(
% 1.33/1.98 ! [X0 : ($i > $o) > $i > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (! [X3 : $i] : ((X1 @ X3) => (X2 @ X3)) => ! [X3 : $i] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3))) => ! [X1 : $i] : ((X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : ((X4 @ X3) & ! [X5 : $i] : ((X4 @ X5) => (X0 @ X4 @ X5))))) @ X1) => ? [X4 : $i > $o] : ((X4 @ X1) & ! [X3 : $i] : ((X4 @ X3) => (X0 @ X4 @ X3)))))),
% 1.33/1.98 file('/export/starexec/sandbox/tmp/tmp.YIaZt95a9g/DTF2THF_10834.p',cTHM2A_ONE_pme)).
% 1.33/1.98 thf(f38,plain,(
% 1.33/1.98 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (sK2 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1)))))) @ Y0)))))),
% 1.33/1.98 inference(boolean_simplification,[status(thm)],[f36])).
% 1.33/1.98 thf(f36,plain,(
% 1.33/1.98 (((!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (sK2 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1)))))) @ Y0)))) & $true) = $false)),
% 1.33/1.98 inference(superposition,[status(thm)],[f28,f24])).
% 1.33/1.98 thf(f24,plain,(
% 1.33/1.98 ((sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3) = $true)),
% 1.33/1.98 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 1.33/1.98 thf(f22,plain,(
% 1.33/1.98 ($false = ((sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3))))))),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f21])).
% 1.33/1.98 thf(f21,plain,(
% 1.33/1.98 ($false = ((^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0)))))) @ sK3))),
% 1.33/1.98 inference(sigma_clausification,[status(thm)],[f16])).
% 1.33/1.98 thf(f16,plain,(
% 1.33/1.98 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))))))),
% 1.33/1.98 inference(boolean_simplification,[status(thm)],[f14])).
% 1.33/1.98 thf(f14,plain,(
% 1.33/1.98 ($false = ($true => (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0)))))))))),
% 1.33/1.98 inference(backward_demodulation,[status(thm)],[f10,f13])).
% 1.33/1.98 thf(f28,plain,(
% 1.33/1.98 ( ! [X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK2 @ X1 @ Y0)))) & (X1 @ sK3)) = $false)) )),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f26])).
% 1.33/1.98 thf(f26,plain,(
% 1.33/1.98 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3))) @ X1))) )),
% 1.33/1.98 inference(pi_clausification,[status(thm)],[f23])).
% 1.33/1.98 thf(f23,plain,(
% 1.33/1.98 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3)))))),
% 1.33/1.98 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 1.33/1.98 thf(f1670,plain,(
% 1.33/1.98 ($false = (sK6 @ sK5)) | ((!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))))) = $false)),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f1669])).
% 1.33/1.98 thf(f1669,plain,(
% 1.33/1.98 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))))) | ($false = (sK6 @ sK5))),
% 1.33/1.98 inference(trivial_inequality_removal,[status(thm)],[f1604])).
% 1.33/1.98 thf(f1604,plain,(
% 1.33/1.98 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))))) | ($false = (sK6 @ sK5)) | ($false = $true)),
% 1.33/1.98 inference(superposition,[status(thm)],[f65,f807])).
% 1.33/1.98 thf(f807,plain,(
% 1.33/1.98 ( ! [X0 : $i,X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (X1 @ Y0))))) | ((sK2 @ X1 @ X0) = $true) | ($false = (sK6 @ X0))) )),
% 1.33/1.98 inference(boolean_simplification,[status(thm)],[f765])).
% 1.33/1.98 thf(f765,plain,(
% 1.33/1.98 ( ! [X0 : $i,X1 : $i > $o] : (($false = (sK6 @ X0)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (X1 @ Y0))))) | (($true => (sK2 @ X1 @ X0)) = $true)) )),
% 1.33/1.98 inference(superposition,[status(thm)],[f34,f126])).
% 1.33/1.98 thf(f126,plain,(
% 1.33/1.98 ( ! [X1 : $i] : (((sK2 @ sK6 @ X1) = $true) | ($false = (sK6 @ X1))) )),
% 1.33/1.98 inference(binary_proxy_clausification,[status(thm)],[f91])).
% 1.33/1.98 thf(f91,plain,(
% 1.33/1.98 ( ! [X1 : $i] : ((((sK6 @ X1) => (sK2 @ sK6 @ X1)) = $true)) )),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f86])).
% 1.33/1.98 thf(f86,plain,(
% 1.33/1.98 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((sK6 @ Y0) => (sK2 @ sK6 @ Y0))) @ X1) = $true)) )),
% 1.33/1.98 inference(pi_clausification,[status(thm)],[f85])).
% 1.33/1.98 thf(f34,plain,(
% 1.33/1.98 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($true = ((sK2 @ X2 @ X3) => (sK2 @ X1 @ X3))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (X1 @ Y0)))))) )),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f29])).
% 1.33/1.98 thf(f29,plain,(
% 1.33/1.98 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((sK2 @ X2 @ Y0) => (sK2 @ X1 @ Y0))) @ X3) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (X1 @ Y0)))))) )),
% 1.33/1.98 inference(pi_clausification,[status(thm)],[f20])).
% 1.33/1.98 thf(f65,plain,(
% 1.33/1.98 ((sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK5) = $false)),
% 1.33/1.98 inference(boolean_simplification,[status(thm)],[f63])).
% 1.33/1.98 thf(f63,plain,(
% 1.33/1.98 (($true => (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK5)) = $false)),
% 1.33/1.98 inference(backward_demodulation,[status(thm)],[f58,f60])).
% 1.33/1.98 thf(f1714,plain,(
% 1.33/1.98 ( ! [X1 : $i > $o] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK2 @ X1 @ Y0)))) & (X1 @ sK12)))) )),
% 1.33/1.98 inference(beta_eta_normalization,[status(thm)],[f1713])).
% 1.33/1.98 thf(f1713,plain,(
% 1.33/1.98 ( ! [X1 : $i > $o] : (($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK12))) @ X1))) )),
% 1.33/1.98 inference(pi_clausification,[status(thm)],[f1711])).
% 1.33/1.98 thf(f1711,plain,(
% 1.33/1.98 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK12)))))),
% 1.33/1.98 inference(boolean_simplification,[status(thm)],[f1709])).
% 1.33/1.98 thf(f1709,plain,(
% 1.33/1.98 ($false = ($true => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK12))))))),
% 1.33/1.98 inference(backward_demodulation,[status(thm)],[f1706,f1708])).
% 1.33/1.98 thf(f85,plain,(
% 1.33/1.98 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (sK2 @ sK6 @ Y0)))))),
% 1.33/1.98 inference(boolean_simplification,[status(thm)],[f84])).
% 1.33/1.98 thf(f84,plain,(
% 1.33/1.98 (((!! @ $i @ (^[Y0 : $i]: ((sK6 @ Y0) => (sK2 @ sK6 @ Y0)))) & $true) = $true)),
% 1.33/1.98 inference(backward_demodulation,[status(thm)],[f66,f79])).
% 1.33/1.98 % SZS output end Proof for DTF2THF_10834
% 1.33/1.98 % (11251)------------------------------
% 1.33/1.98 % (11251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.33/1.98 % (11251)Termination reason: Refutation
% 1.33/1.98
% 1.33/1.98 % (11251)Memory used [KB]: 6268
% 1.33/1.98 % (11251)Time elapsed: 0.151 s
% 1.33/1.98 % (11251)Instructions burned: 431 (million)
% 1.33/1.98 % (11251)------------------------------
% 1.33/1.98 % (11251)------------------------------
% 1.33/1.98 % (10930)Success in time 0.841 s
%------------------------------------------------------------------------------