%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV170^5 : 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 : n001.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 09:40:28 AM UTC 2026
% Result : Theorem 14.05s 3.15s
% Output : Refutation 14.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 4
% Syntax : Number of formulae : 96 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 596 ( 383 equ; 0 cnn)
% Maximal formula atoms : 28 ( 6 avg)
% Number of connectives : 2253 ( 179 ~; 225 |; 52 &;1780 @)
% ( 4 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 1110 (1110 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 1744 (1495 ^; 214 !; 35 ?;1744 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_7,type,
sK0: a > a > a > a > $o ).
thf(func_def_8,type,
sK1: a ).
thf(func_def_9,type,
sK2: a ).
thf(func_def_10,type,
sK3: a ).
thf(func_def_11,type,
sK4: a ).
thf(func_def_12,type,
sK5: ( a > a > a ) > a ).
thf(func_def_13,type,
sK6: ( a > a > a ) > a ).
thf(func_def_14,type,
ph7:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
sK8: a > a > a ).
thf(func_def_16,type,
sK9: a > a > a ).
thf(func_def_19,type,
sK10: a > a > a ).
thf(func_def_20,type,
sK11: a > a > a ).
thf(func_def_21,type,
sK12: a > a > a ).
thf(f1027,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f1025,f765]) ).
thf(f765,plain,
sK5 != sK6,
inference(subsumption_resolution,[status(thm)],[f483,f757]) ).
thf(f757,plain,
sK2 = sK3,
inference(trivial_inequality_removal,[status(thm)],[f756]) ).
thf(f756,plain,
( ( sK2 = sK3 )
| ( sK2 != sK2 ) ),
inference(beta_eta_normalization,[status(thm)],[f751]) ).
thf(f751,plain,
( ( sK2
!= ( ^ [Y0: a,Y1: a] : Y0
@ sK2
@ sK1 ) )
| ( sK2 = sK3 ) ),
inference(equality_factoring,[status(thm)],[f737]) ).
thf(f737,plain,
! [X1: a > a > a] :
( ( ( X1 @ sK3 @ sK4 )
= ( X1 @ sK2 @ sK1 ) )
| ( sK2 = sK3 ) ),
inference(beta_eta_normalization,[status(thm)],[f736]) ).
thf(f736,plain,
! [X1: a > a > a] :
( ( sK2 = sK3 )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 )
@ X1 )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 )
@ X1 ) ) ),
inference(argument_congruence,[status(thm)],[f459]) ).
thf(f459,plain,
( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) ) )
| ( sK2 = sK3 ) ),
inference(trivial_inequality_removal,[status(thm)],[f456]) ).
thf(f456,plain,
( ( $true != $true )
| ( sK2 = sK3 )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) ) ) ),
inference(superposition,[status(thm)],[f425,f333]) ).
thf(f333,plain,
( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ),
inference(subsumption_resolution,[status(thm)],[f218,f30]) ).
thf(f30,plain,
( ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f29]) ).
thf(f29,plain,
( ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( sK5 != sK5 )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f27]) ).
thf(f27,plain,
( ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( sK5 != sK5 )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(constrained_superposition,[status(thm)],[f22,f20]) ).
thf(f20,plain,
( ( sK5
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f13,plain,
( ( ( ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
& ( ( sK2 != sK3 )
| ( sK1 != sK4 ) ) )
| ( ( sK6
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( sK5 != sK6 )
& ( ( sK0
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
& ( sK5
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ) )
& ( ! [X7: a,X8: a,X9: a,X10: a] :
( ( ( sK0 @ X8 @ X7 @ X9 @ X10 )
!= $true )
| ( ( X8 = X9 )
& ( X7 = X10 ) ) )
| ! [X11: ( a > a > a ) > a,X12: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X12
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X12
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X12 )
| ( X11 = X12 )
| ( ( sK0
@ ( X11
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X11
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X11
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X11
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X11 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f9,f12,f11,f10]) ).
thf(f10,plain,
( ? [X0: a > a > a > a > $o] :
( ( ? [X1: a,X2: a,X3: a,X4: a] :
( ( ( X0 @ X2 @ X1 @ X3 @ X4 )
= $true )
& ( ( X2 != X3 )
| ( X1 != X4 ) ) )
| ? [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X6
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X6 )
& ( X5 != X6 )
& ( $true
= ( X0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X5 ) ) )
& ( ! [X7: a,X8: a,X9: a,X10: a] :
( ( ( X0 @ X8 @ X7 @ X9 @ X10 )
!= $true )
| ( ( X8 = X9 )
& ( X7 = X10 ) ) )
| ! [X11: ( a > a > a ) > a,X12: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X12
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X12
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X12 )
| ( X11 = X12 )
| ( $true
!= ( X0
@ ( X11
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X11
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X11
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X11
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X11 ) ) ) )
=> ( ( ? [X4: a,X3: a,X2: a,X1: a] :
( ( $true
= ( sK0 @ X2 @ X1 @ X3 @ X4 ) )
& ( ( X2 != X3 )
| ( X1 != X4 ) ) )
| ? [X6: ( a > a > a ) > a,X5: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X6
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X6 )
& ( X5 != X6 )
& ( $true
= ( sK0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X5 ) ) )
& ( ! [X10: a,X9: a,X8: a,X7: a] :
( ( ( sK0 @ X8 @ X7 @ X9 @ X10 )
!= $true )
| ( ( X8 = X9 )
& ( X7 = X10 ) ) )
| ! [X12: ( a > a > a ) > a,X11: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X12
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X12
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X12 )
| ( X11 = X12 )
| ( ( sK0
@ ( X11
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X11
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X11
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X11
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X11 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11,plain,
( ? [X4: a,X3: a,X2: a,X1: a] :
( ( $true
= ( sK0 @ X2 @ X1 @ X3 @ X4 ) )
& ( ( X2 != X3 )
| ( X1 != X4 ) ) )
=> ( ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
& ( ( sK2 != sK3 )
| ( sK1 != sK4 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f12,plain,
( ? [X6: ( a > a > a ) > a,X5: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X6
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X6 )
& ( X5 != X6 )
& ( $true
= ( sK0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X5 ) )
=> ( ( sK6
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( sK5 != sK6 )
& ( ( sK0
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
& ( sK5
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9,plain,
? [X0: a > a > a > a > $o] :
( ( ? [X1: a,X2: a,X3: a,X4: a] :
( ( ( X0 @ X2 @ X1 @ X3 @ X4 )
= $true )
& ( ( X2 != X3 )
| ( X1 != X4 ) ) )
| ? [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X6
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X6 )
& ( X5 != X6 )
& ( $true
= ( X0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X5 ) ) )
& ( ! [X7: a,X8: a,X9: a,X10: a] :
( ( ( X0 @ X8 @ X7 @ X9 @ X10 )
!= $true )
| ( ( X8 = X9 )
& ( X7 = X10 ) ) )
| ! [X11: ( a > a > a ) > a,X12: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X12
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X12
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X12 )
| ( X11 = X12 )
| ( $true
!= ( X0
@ ( X11
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X11
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X11
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X11
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X11 ) ) ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,plain,
? [X0: a > a > a > a > $o] :
( ( ? [X1: a,X2: a,X3: a,X4: a] :
( ( ( X0 @ X2 @ X1 @ X3 @ X4 )
= $true )
& ( ( X2 != X3 )
| ( X1 != X4 ) ) )
| ? [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X6
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X6 )
& ( X5 != X6 )
& ( $true
= ( X0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X5 ) ) )
& ( ! [X1: a,X2: a,X3: a,X4: a] :
( ( ( X0 @ X2 @ X1 @ X3 @ X4 )
!= $true )
| ( ( X2 = X3 )
& ( X1 = X4 ) ) )
| ! [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X6
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X6 )
| ( X5 = X6 )
| ( $true
!= ( X0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X5 ) ) ) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
? [X0: a > a > a > a > $o] :
( ! [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X6
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X6 )
| ( X5 = X6 )
| ( $true
!= ( X0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X5 ) )
<~> ! [X1: a,X2: a,X3: a,X4: a] :
( ( ( X0 @ X2 @ X1 @ X3 @ X4 )
!= $true )
| ( ( X2 = X3 )
& ( X1 = X4 ) ) ) ),
inference(flattening,[status(thm)],[f6]) ).
thf(f6,plain,
? [X0: a > a > a > a > $o] :
( ! [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( X5 = X6 )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X6
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X6 )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X5 )
| ( $true
!= ( X0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) ) )
<~> ! [X1: a,X2: a,X3: a,X4: a] :
( ( ( X0 @ X2 @ X1 @ X3 @ X4 )
!= $true )
| ( ( X2 = X3 )
& ( X1 = X4 ) ) ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X0: a > a > a > a > $o] :
( ! [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X6
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X6 )
& ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= X5 )
& ( $true
= ( X0
@ ( X5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X6
@ ^ [Y0: a,Y1: a] : Y1 ) ) ) )
=> ( X5 = X6 ) )
<=> ! [X1: a,X2: a,X3: a,X4: a] :
( ( ( X0 @ X2 @ X1 @ X3 @ X4 )
= $true )
=> ( ( X2 = X3 )
& ( X1 = X4 ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a > a > a > a > $o] :
( ! [X1: a,X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ X1 @ X3 @ X4 )
=> ( ( X1 = X4 )
& ( X2 = X3 ) ) )
<=> ! [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( ( ( ^ [X7: a > a > a] :
( X7
@ ( X6
@ ^ [X8: a,X9: a] : X8 )
@ ( X6
@ ^ [X10: a,X11: a] : X11 ) ) )
= X6 )
& ( X0
@ ( X5
@ ^ [X12: a,X13: a] : X12 )
@ ( X5
@ ^ [X14: a,X15: a] : X15 )
@ ( X6
@ ^ [X16: a,X17: a] : X16 )
@ ( X6
@ ^ [X18: a,X19: a] : X19 ) )
& ( X5
= ( ^ [X20: a > a > a] :
( X20
@ ( X5
@ ^ [X21: a,X22: a] : X21 )
@ ( X5
@ ^ [X23: a,X24: a] : X24 ) ) ) ) )
=> ( X5 = X6 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a > a > $o] :
( ! [X7: a,X6: a,X8: a,X9: a] :
( ( X0 @ X6 @ X7 @ X8 @ X9 )
=> ( ( X7 = X9 )
& ( X6 = X8 ) ) )
<=> ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( ( ( ^ [X3: a > a > a] :
( X3
@ ( X2
@ ^ [X4: a,X5: a] : X4 )
@ ( X2
@ ^ [X4: a,X5: a] : X5 ) ) )
= X2 )
& ( X0
@ ( X1
@ ^ [X4: a,X5: a] : X4 )
@ ( X1
@ ^ [X4: a,X5: a] : X5 )
@ ( X2
@ ^ [X4: a,X5: a] : X4 )
@ ( X2
@ ^ [X4: a,X5: a] : X5 ) )
& ( X1
= ( ^ [X3: a > a > a] :
( X3
@ ( X1
@ ^ [X4: a,X5: a] : X4 )
@ ( X1
@ ^ [X4: a,X5: a] : X5 ) ) ) ) )
=> ( X1 = X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: a > a > a > a > $o] :
( ! [X7: a,X6: a,X8: a,X9: a] :
( ( X0 @ X6 @ X7 @ X8 @ X9 )
=> ( ( X7 = X9 )
& ( X6 = X8 ) ) )
<=> ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( ( ( ^ [X3: a > a > a] :
( X3
@ ( X2
@ ^ [X4: a,X5: a] : X4 )
@ ( X2
@ ^ [X4: a,X5: a] : X5 ) ) )
= X2 )
& ( X0
@ ( X1
@ ^ [X4: a,X5: a] : X4 )
@ ( X1
@ ^ [X4: a,X5: a] : X5 )
@ ( X2
@ ^ [X4: a,X5: a] : X4 )
@ ( X2
@ ^ [X4: a,X5: a] : X5 ) )
& ( X1
= ( ^ [X3: a > a > a] :
( X3
@ ( X1
@ ^ [X4: a,X5: a] : X4 )
@ ( X1
@ ^ [X4: a,X5: a] : X5 ) ) ) ) )
=> ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.LIMbt9Rooo/DTF2THF_7597.p',cTHM190_pme) ).
thf(f22,plain,
( ( sK5 != sK6 )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f218,plain,
( ( sK6
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(backward_subsumption_demodulation,[status(thm)],[f91,f89]) ).
thf(f89,plain,
( ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK5
@ ^ [Y0: a,Y1: a] : Y0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f88]) ).
thf(f88,plain,
( ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( $true != $true )
| ( ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK5
@ ^ [Y0: a,Y1: a] : Y0 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f87]) ).
thf(f87,plain,
( ( ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK5
@ ^ [Y0: a,Y1: a] : Y0 ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f86,f21]) ).
thf(f21,plain,
( ( ( sK0
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f86,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X0 = X2 )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(subsumption_resolution,[status(thm)],[f85,f23]) ).
thf(f23,plain,
( ( sK6
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f85,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( X0 = X2 )
| ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f84,f20]) ).
thf(f84,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( sK5
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X0 = X2 )
| ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(subsumption_resolution,[status(thm)],[f83,f22]) ).
thf(f83,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( sK5
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X0 = X2 )
| ( sK5 = sK6 )
| ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f82]) ).
thf(f82,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( X0 = X2 )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f81]) ).
thf(f81,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X0 = X2 )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f15,f21]) ).
thf(f15,plain,
! [X10: a,X11: ( a > a > a ) > a,X8: a,X9: a,X7: a,X12: ( a > a > a ) > a] :
( ( ( sK0
@ ( X11
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X11
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X12
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X12
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X12 )
| ( X11 = X12 )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X11
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X11
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X11 )
| ( ( sK0 @ X8 @ X7 @ X9 @ X10 )
!= $true )
| ( X8 = X9 ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f91,plain,
( ( sK6
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(backward_subsumption_demodulation,[status(thm)],[f23,f72]) ).
thf(f72,plain,
( ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f71]) ).
thf(f71,plain,
( ( $true != $true )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f70]) ).
thf(f70,plain,
( ( $true != $true )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(superposition,[status(thm)],[f69,f21]) ).
thf(f69,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( X1 = X3 ) ),
inference(subsumption_resolution,[status(thm)],[f68,f23]) ).
thf(f68,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X1 = X3 )
| ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(subsumption_resolution,[status(thm)],[f67,f20]) ).
thf(f67,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X1 = X3 )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( sK5
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(subsumption_resolution,[status(thm)],[f66,f22]) ).
thf(f66,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( sK5
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( sK5 = sK6 )
| ( X1 = X3 )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f65]) ).
thf(f65,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( X1 = X3 ) ),
inference(trivial_inequality_removal,[status(thm)],[f64]) ).
thf(f64,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( $true != $true )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X1 = X3 )
| ( $true
= ( sK0 @ sK2 @ sK1 @ sK3 @ sK4 ) ) ),
inference(superposition,[status(thm)],[f14,f21]) ).
thf(f14,plain,
! [X10: a,X11: ( a > a > a ) > a,X8: a,X9: a,X7: a,X12: ( a > a > a ) > a] :
( ( ( sK0
@ ( X11
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X11
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X12
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= $true )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X11
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X11
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X11 )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X12
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X12
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X12 )
| ( X11 = X12 )
| ( ( sK0 @ X8 @ X7 @ X9 @ X10 )
!= $true )
| ( X7 = X10 ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f425,plain,
! [X82: a,X83: a,X80: a,X81: a] :
( ( $true
!= ( sK0 @ X80 @ X81 @ X82 @ X83 ) )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) ) )
| ( X80 = X82 ) ),
inference(trivial_inequality_removal,[status(thm)],[f424]) ).
thf(f424,plain,
! [X82: a,X83: a,X80: a,X81: a] :
( ( $true
!= ( sK0 @ X80 @ X81 @ X82 @ X83 ) )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) )
!= ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) ) )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) ) )
| ( X80 = X82 )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) )
!= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f423]) ).
thf(f423,plain,
! [X82: a,X83: a,X80: a,X81: a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK2
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK1
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK2
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK1
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) ) )
| ( X80 = X82 )
| ( $true
!= ( sK0 @ X80 @ X81 @ X82 @ X83 ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f350]) ).
thf(f350,plain,
! [X82: a,X83: a,X80: a,X81: a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK2
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK1
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK2
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK1
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) ) )
| ( X80 = X82 )
| ( $true
!= ( sK0 @ X80 @ X81 @ X82 @ X83 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f15,f333]) ).
thf(f483,plain,
( ( sK5 != sK6 )
| ( sK2 != sK3 ) ),
inference(subsumption_resolution,[status(thm)],[f18,f476]) ).
thf(f476,plain,
sK1 = sK4,
inference(trivial_inequality_removal,[status(thm)],[f475]) ).
thf(f475,plain,
( ( sK1 != sK1 )
| ( sK1 = sK4 ) ),
inference(beta_eta_normalization,[status(thm)],[f472]) ).
thf(f472,plain,
( ( sK1
!= ( ^ [Y0: a,Y1: a] : Y1
@ sK2
@ sK1 ) )
| ( sK1 = sK4 ) ),
inference(equality_factoring,[status(thm)],[f455]) ).
thf(f455,plain,
! [X1: a > a > a] :
( ( ( X1 @ sK3 @ sK4 )
= ( X1 @ sK2 @ sK1 ) )
| ( sK1 = sK4 ) ),
inference(beta_eta_normalization,[status(thm)],[f454]) ).
thf(f454,plain,
! [X1: a > a > a] :
( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 )
@ X1 )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 )
@ X1 ) )
| ( sK1 = sK4 ) ),
inference(argument_congruence,[status(thm)],[f453]) ).
thf(f453,plain,
( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) ) )
| ( sK1 = sK4 ) ),
inference(trivial_inequality_removal,[status(thm)],[f448]) ).
thf(f448,plain,
( ( sK1 = sK4 )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f411,f333]) ).
thf(f411,plain,
! [X82: a,X83: a,X80: a,X81: a] :
( ( $true
!= ( sK0 @ X80 @ X81 @ X82 @ X83 ) )
| ( X81 = X83 )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f410]) ).
thf(f410,plain,
! [X82: a,X83: a,X80: a,X81: a] :
( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) )
!= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) ) )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) )
!= ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) ) )
| ( X81 = X83 )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK4 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK1 ) ) )
| ( $true
!= ( sK0 @ X80 @ X81 @ X82 @ X83 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f409]) ).
thf(f409,plain,
! [X82: a,X83: a,X80: a,X81: a] :
( ( X81 = X83 )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK2
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK1
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK2
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK1
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
!= ( sK0 @ X80 @ X81 @ X82 @ X83 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f365]) ).
thf(f365,plain,
! [X82: a,X83: a,X80: a,X81: a] :
( ( X81 = X83 )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK1
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK2
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK1
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK2
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK1
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true
!= ( sK0 @ X80 @ X81 @ X82 @ X83 ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f14,f333]) ).
thf(f18,plain,
( ( sK5 != sK6 )
| ( sK2 != sK3 )
| ( sK1 != sK4 ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f1025,plain,
sK5 = sK6,
inference(superposition,[status(thm)],[f761,f1020]) ).
thf(f1020,plain,
( sK6
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(backward_demodulation,[status(thm)],[f1013,f1011]) ).
thf(f1011,plain,
( ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK5
@ ^ [Y0: a,Y1: a] : Y0 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1010]) ).
thf(f1010,plain,
( ( $true != $true )
| ( ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK5
@ ^ [Y0: a,Y1: a] : Y0 ) ) ),
inference(superposition,[status(thm)],[f1005,f760]) ).
thf(f760,plain,
( ( sK0
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true ),
inference(subsumption_resolution,[status(thm)],[f479,f757]) ).
thf(f479,plain,
( ( sK2 != sK3 )
| ( ( sK0
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true ) ),
inference(subsumption_resolution,[status(thm)],[f17,f476]) ).
thf(f17,plain,
( ( sK2 != sK3 )
| ( ( sK0
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
| ( sK1 != sK4 ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f1005,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X0 = X2 ) ),
inference(subsumption_resolution,[status(thm)],[f1004,f761]) ).
thf(f1004,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( sK5
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X0 = X2 ) ),
inference(subsumption_resolution,[status(thm)],[f1003,f762]) ).
thf(f762,plain,
( sK6
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(subsumption_resolution,[status(thm)],[f480,f757]) ).
thf(f480,plain,
( ( sK2 != sK3 )
| ( sK6
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(subsumption_resolution,[status(thm)],[f19,f476]) ).
thf(f19,plain,
( ( sK2 != sK3 )
| ( sK1 != sK4 )
| ( sK6
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
thf(f1003,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( X0 = X2 )
| ( sK5
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f997,f765]) ).
thf(f997,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( X0 = X2 )
| ( sK5 = sK6 )
| ( sK5
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f996]) ).
thf(f996,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( X0 = X2 )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f994]) ).
thf(f994,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( $true != $true )
| ( X0 = X2 ) ),
inference(superposition,[status(thm)],[f15,f760]) ).
thf(f1013,plain,
( sK6
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(backward_demodulation,[status(thm)],[f762,f1008]) ).
thf(f1008,plain,
( ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1007]) ).
thf(f1007,plain,
( ( ( sK5
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK6
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f1002,f760]) ).
thf(f1002,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X1 = X3 ) ),
inference(subsumption_resolution,[status(thm)],[f1001,f762]) ).
thf(f1001,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( X1 = X3 ) ),
inference(subsumption_resolution,[status(thm)],[f1000,f761]) ).
thf(f1000,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( X1 = X3 )
| ( sK5
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f999,f765]) ).
thf(f999,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( sK5 = sK6 )
| ( sK5
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( sK6
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK6
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( X1 = X3 )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f998]) ).
thf(f998,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( X1 = X3 ) ),
inference(trivial_inequality_removal,[status(thm)],[f995]) ).
thf(f995,plain,
! [X2: a,X3: a,X0: a,X1: a] :
( ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK6
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( sK0 @ X0 @ X1 @ X2 @ X3 )
!= $true )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( sK5
@ ( ^ [Y2: a > a > a,Y3: a,Y4: a] :
( Y2
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y6
@ Y2
@ Y3
@ Y4 )
@ ( ^ [Y5: a > a > a,Y6: a,Y7: a] : Y7
@ Y2
@ Y3
@ Y4 ) )
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( X1 = X3 )
| ( ( ^ [Y0: a > a > a] :
( sK6
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( sK5
@ ( ^ [Y1: a > a > a,Y2: a,Y3: a] :
( Y1
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y5
@ Y1
@ Y2
@ Y3 )
@ ( ^ [Y4: a > a > a,Y5: a,Y6: a] : Y6
@ Y1
@ Y2
@ Y3 ) )
@ Y0 ) ) ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f14,f760]) ).
thf(f761,plain,
( sK5
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ),
inference(subsumption_resolution,[status(thm)],[f481,f757]) ).
thf(f481,plain,
( ( sK2 != sK3 )
| ( sK5
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(subsumption_resolution,[status(thm)],[f16,f476]) ).
thf(f16,plain,
( ( sK2 != sK3 )
| ( sK1 != sK4 )
| ( sK5
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV170^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.34 % Computer : n001.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Feb 24 12:42:05 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.29/0.46 ---- Original DTF file ---
% 0.29/0.46 thf(spec,logic,$$dhol).
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % File : SEV170^5 : TPTP v9.2.1. Released v4.0.0.
% 0.29/0.46 % Domain : Set Theory
% 0.29/0.46 % Problem : TPS problem from PAIRS-THMS
% 0.29/0.46 % Version : Especial.
% 0.29/0.46 % English :
% 0.29/0.46
% 0.29/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.46 % Source : [Bro09]
% 0.29/0.46 % Names : tps_1093 [Bro09]
% 0.29/0.46
% 0.29/0.46 % Status : Theorem
% 0.29/0.46 % Rating : 0.78 v9.1.0, 0.75 v9.0.0, 0.90 v8.2.0, 0.85 v8.1.0, 0.82 v7.5.0, 0.86 v7.4.0, 0.89 v7.2.0, 0.88 v7.0.0, 0.86 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0, 0.86 v5.5.0, 1.00 v4.0.0
% 0.29/0.46 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.29/0.46 % Number of atoms : 5 ( 5 equ; 0 cnn)
% 0.29/0.46 % Maximal formula atoms : 5 ( 5 avg)
% 0.29/0.46 % Number of connectives : 26 ( 0 ~; 0 |; 3 &; 20 @)
% 0.29/0.46 % ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% 0.29/0.46 % Maximal formula depth : 15 ( 15 avg)
% 0.29/0.46 % Number of types : 2 ( 1 usr)
% 0.29/0.46 % Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% 0.29/0.46 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.29/0.46 % Number of variables : 25 ( 18 ^; 7 !; 0 ?; 25 :)
% 0.29/0.46 % SPC : TH0_THM_EQU_NAR
% 0.29/0.46
% 0.29/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 thf(a_type,type,
% 0.29/0.46 a: $tType ).
% 0.29/0.46
% 0.29/0.46 thf(cTHM190_pme,conjecture,
% 0.29/0.46 ! [Xr: a > a > a > a > $o] :
% 0.29/0.46 ( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
% 0.29/0.46 ( ( ( Xp
% 0.29/0.46 = ( ^ [Xg: a > a > a] :
% 0.29/0.46 ( Xg
% 0.29/0.46 @ ( Xp
% 0.29/0.46 @ ^ [Xx: a,Xy: a] : Xx )
% 0.29/0.46 @ ( Xp
% 0.29/0.46 @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
% 0.29/0.46 & ( Xq
% 0.29/0.46 = ( ^ [Xg: a > a > a] :
% 0.29/0.46 ( Xg
% 0.29/0.46 @ ( Xq
% 0.29/0.46 @ ^ [Xx: a,Xy: a] : Xx )
% 0.29/0.46 @ ( Xq
% 0.29/0.46 @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
% 0.29/0.46 & ( Xr
% 0.29/0.46 @ ( Xp
% 0.29/0.46 @ ^ [Xx: a,Xy: a] : Xx )
% 0.29/0.46 @ ( Xp
% 0.29/0.46 @ ^ [Xx: a,Xy: a] : Xy )
% 0.29/0.46 @ ( Xq
% 0.29/0.46 @ ^ [Xx: a,Xy: a] : Xx )
% 0.29/0.46 @ ( Xq
% 0.29/0.46 @ ^ [Xx: a,Xy: a] : Xy ) ) )
% 0.29/0.46 => ( Xp = Xq ) )
% 0.29/0.46 <=> ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
% 0.29/0.46 ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
% 0.29/0.46 => ( ( Xx1 = Xx2 )
% 0.29/0.46 & ( Xy1 = Xy2 ) ) ) ) ).
% 0.29/0.46
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 ------------------------
% 1.48/1.27 ---- Embedded in THF ---
% 1.48/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.48/1.27 %%% Generated on Tue Feb 24 12:42:06 EST 2026
% 1.48/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.48/1.27 %%% Logic specification used:
% 1.48/1.27 %%% thf(spec, logic, $$dhol).
% 1.48/1.27
% 1.48/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.LIMbt9Rooo/DTF2DTF7597.p
% See solution above
% 1.48/1.27 ------------------------
% 1.48/1.28 ---- Cleaned THF ---
% 1.48/1.29 thf(a_type,type,
% 1.48/1.29 a: $tType ).
% 1.48/1.29
% 1.48/1.29 thf(cTHM190_pme,conjecture,
% 1.48/1.29 ! [Xr: a > a > a > a > $o] :
% 1.48/1.29 ( ! [Xp: ( a > a > a ) > a,Xq: ( a > a > a ) > a] :
% 1.48/1.29 ( ( ( Xp
% 1.48/1.29 = ( ^ [Xg: a > a > a] :
% 1.48/1.29 ( Xg
% 1.48/1.29 @ ( Xp
% 1.48/1.29 @ ^ [Xx: a,Xy: a] : Xx )
% 1.48/1.29 @ ( Xp
% 1.48/1.29 @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
% 1.48/1.29 & ( Xq
% 1.48/1.29 = ( ^ [Xg: a > a > a] :
% 1.48/1.29 ( Xg
% 1.48/1.29 @ ( Xq
% 1.48/1.29 @ ^ [Xx: a,Xy: a] : Xx )
% 1.48/1.29 @ ( Xq
% 1.48/1.29 @ ^ [Xx: a,Xy: a] : Xy ) ) ) )
% 1.48/1.29 & ( Xr
% 1.48/1.29 @ ( Xp
% 1.48/1.29 @ ^ [Xx: a,Xy: a] : Xx )
% 1.48/1.29 @ ( Xp
% 1.48/1.29 @ ^ [Xx: a,Xy: a] : Xy )
% 1.48/1.29 @ ( Xq
% 1.48/1.29 @ ^ [Xx: a,Xy: a] : Xx )
% 1.48/1.29 @ ( Xq
% 1.48/1.29 @ ^ [Xx: a,Xy: a] : Xy ) ) )
% 1.48/1.29 => ( Xp = Xq ) )
% 1.48/1.29 <=> ! [Xx1: a,Xy1: a,Xx2: a,Xy2: a] :
% 1.48/1.29 ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 )
% 1.48/1.29 => ( ( Xx1 = Xx2 )
% 1.48/1.29 & ( Xy1 = Xy2 ) ) ) ) ).
% 1.48/1.29 ------------------------
% 1.64/1.30 % (7700)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_7597 for (3000ds/275Mi)
% 1.64/1.30 % (7697)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_7597 for (3000ds/27Mi)
% 1.64/1.30 % (7700)Refutation not found, incomplete strategy
% 1.64/1.30 % (7700)------------------------------
% 1.64/1.30 % (7700)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.30 % (7700)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.30
% 1.64/1.30
% 1.64/1.30 % (7700)Memory used [KB]: 5628
% 1.64/1.30 % (7700)Time elapsed: 0.007 s
% 1.64/1.30 % (7700)Instructions burned: 13 (million)
% 1.64/1.30 % (7700)------------------------------
% 1.64/1.30 % (7700)------------------------------
% 1.64/1.30 % (7697)Refutation not found, incomplete strategy
% 1.64/1.30 % (7697)------------------------------
% 1.64/1.30 % (7697)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.30 % (7697)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.30
% 1.64/1.30
% 1.64/1.30 % (7697)Memory used [KB]: 5628
% 1.64/1.30 % (7697)Time elapsed: 0.007 s
% 1.64/1.30 % (7697)Instructions burned: 16 (million)
% 1.64/1.30 % (7697)------------------------------
% 1.64/1.30 % (7697)------------------------------
% 1.64/1.31 % (7696)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_7597 for (3000ds/4Mi)
% 1.64/1.31 % (7695)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_7597 for (3000ds/183Mi)
% 1.64/1.31 % (7698)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_7597 for (3000ds/2Mi)
% 1.64/1.31 % (7699)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_7597 for (3000ds/2Mi)
% 1.64/1.31 % (7701)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_7597 for (3000ds/18Mi)
% 1.64/1.31 % (7698)Instruction limit reached!
% 1.64/1.31 % (7698)------------------------------
% 1.64/1.31 % (7698)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.31 % (7698)Termination reason: Unknown
% 1.64/1.31 % (7698)Termination phase: Preprocessing 3
% 1.64/1.31
% 1.64/1.31 % (7698)Memory used [KB]: 895
% 1.64/1.31 % (7698)Time elapsed: 0.003 s
% 1.64/1.31 % (7698)Instructions burned: 2 (million)
% 1.64/1.31 % (7698)------------------------------
% 1.64/1.31 % (7698)------------------------------
% 1.64/1.31 % (7699)Instruction limit reached!
% 1.64/1.31 % (7699)------------------------------
% 1.64/1.31 % (7699)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.31 % (7699)Termination reason: Unknown
% 1.64/1.31 % (7699)Termination phase: shuffling
% 1.64/1.31
% 1.64/1.31 % (7699)Memory used [KB]: 895
% 1.64/1.31 % (7699)Time elapsed: 0.003 s
% 1.64/1.31 % (7699)Instructions burned: 2 (million)
% 1.64/1.31 % (7699)------------------------------
% 1.64/1.31 % (7699)------------------------------
% 1.64/1.31 % (7696)Instruction limit reached!
% 1.64/1.31 % (7696)------------------------------
% 1.64/1.31 % (7696)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.31 % (7696)Termination reason: Unknown
% 1.64/1.31 % (7696)Termination phase: Saturation
% 1.64/1.31
% 1.64/1.31 % (7696)Memory used [KB]: 5500
% 1.64/1.31 % (7696)Time elapsed: 0.005 s
% 1.64/1.31 % (7696)Instructions burned: 5 (million)
% 1.64/1.31 % (7696)------------------------------
% 1.64/1.31 % (7696)------------------------------
% 1.64/1.31 % (7702)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/3Mi)
% 1.64/1.32 % (7702)Instruction limit reached!
% 1.64/1.32 % (7702)------------------------------
% 1.64/1.32 % (7702)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.32 % (7702)Termination reason: Unknown
% 1.64/1.32 % (7702)Termination phase: Saturation
% 1.64/1.32
% 1.64/1.32 % (7702)Memory used [KB]: 5500
% 1.64/1.32 % (7702)Time elapsed: 0.002 s
% 1.64/1.32 % (7702)Instructions burned: 3 (million)
% 1.64/1.32 % (7702)------------------------------
% 1.64/1.32 % (7702)------------------------------
% 1.64/1.32 % (7701)Instruction limit reached!
% 1.64/1.32 % (7701)------------------------------
% 1.64/1.32 % (7701)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.32 % (7701)Termination reason: Unknown
% 1.64/1.32 % (7701)Termination phase: Saturation
% 1.64/1.32
% 1.64/1.32 % (7701)Memory used [KB]: 5628
% 1.64/1.32 % (7701)Time elapsed: 0.012 s
% 1.64/1.32 % (7701)Instructions burned: 19 (million)
% 1.64/1.32 % (7701)------------------------------
% 1.64/1.32 % (7701)------------------------------
% 1.64/1.32 % (7703)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_7597 for (2999ds/37Mi)
% 1.64/1.32 % (7704)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_7597 for (2999ds/15Mi)
% 1.64/1.32 % (7705)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_7597 for (2999ds/3Mi)
% 1.64/1.33 % (7706)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_7597 for (2999ds/1041Mi)
% 1.64/1.33 % (7705)Instruction limit reached!
% 1.64/1.33 % (7705)------------------------------
% 1.64/1.33 % (7705)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.33 % (7705)Termination reason: Unknown
% 1.64/1.33 % (7705)Termination phase: Saturation
% 1.64/1.33
% 1.64/1.33 % (7705)Memory used [KB]: 5500
% 1.64/1.33 % (7705)Time elapsed: 0.004 s
% 1.64/1.33 % (7705)Instructions burned: 3 (million)
% 1.64/1.33 % (7705)------------------------------
% 1.64/1.33 % (7705)------------------------------
% 1.64/1.33 % (7707)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/7Mi)
% 1.64/1.33 % (7707)Instruction limit reached!
% 1.64/1.33 % (7707)------------------------------
% 1.64/1.33 % (7707)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.33 % (7707)Termination reason: Unknown
% 1.64/1.33 % (7707)Termination phase: Saturation
% 1.64/1.33
% 1.64/1.33 % (7707)Memory used [KB]: 1023
% 1.64/1.33 % (7707)Time elapsed: 0.004 s
% 1.64/1.33 % (7703)Instruction limit reached!
% 1.64/1.33 % (7703)------------------------------
% 1.64/1.33 % (7703)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.33 % (7707)Instructions burned: 10 (million)
% 1.64/1.33 % (7707)------------------------------
% 1.64/1.33 % (7707)------------------------------
% 1.64/1.33 % (7703)Termination reason: Unknown
% 1.64/1.33 % (7703)Termination phase: Saturation
% 1.64/1.33
% 1.64/1.33 % (7703)Memory used [KB]: 5756
% 1.64/1.33 % (7703)Time elapsed: 0.041 s
% 1.64/1.33 % (7703)Instructions burned: 38 (million)
% 1.64/1.33 % (7703)------------------------------
% 1.64/1.33 % (7703)------------------------------
% 1.64/1.33 % (7704)Instruction limit reached!
% 1.64/1.33 % (7704)------------------------------
% 1.64/1.33 % (7704)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.33 % (7704)Termination reason: Unknown
% 1.64/1.33 % (7704)Termination phase: Saturation
% 1.64/1.33
% 1.64/1.33 % (7704)Memory used [KB]: 5756
% 1.64/1.33 % (7704)Time elapsed: 0.036 s
% 1.64/1.33 % (7704)Instructions burned: 15 (million)
% 1.64/1.33 % (7704)------------------------------
% 1.64/1.33 % (7704)------------------------------
% 1.64/1.34 % (7708)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/16Mi)
% 1.64/1.34 % (7709)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_7597 for (2999ds/3Mi)
% 1.64/1.34 % (7710)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_7597 for (2999ds/3Mi)
% 1.64/1.34 % (7709)Instruction limit reached!
% 1.64/1.34 % (7709)------------------------------
% 1.64/1.34 % (7709)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.34 % (7709)Termination reason: Unknown
% 1.64/1.34 % (7709)Termination phase: Saturation
% 1.64/1.34
% 1.64/1.34 % (7709)Memory used [KB]: 1023
% 1.64/1.34 % (7709)Time elapsed: 0.003 s
% 1.64/1.34 % (7709)Instructions burned: 5 (million)
% 1.64/1.34 % (7709)------------------------------
% 1.64/1.34 % (7709)------------------------------
% 1.64/1.34 % (7711)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/7Mi)
% 1.64/1.34 % (7710)Instruction limit reached!
% 1.64/1.34 % (7710)------------------------------
% 1.64/1.34 % (7710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.34 % (7710)Termination reason: Unknown
% 1.64/1.34 % (7710)Termination phase: Property scanning
% 1.64/1.34
% 1.64/1.34 % (7710)Memory used [KB]: 1023
% 1.64/1.34 % (7710)Time elapsed: 0.002 s
% 1.64/1.34 % (7710)Instructions burned: 3 (million)
% 1.64/1.34 % (7710)------------------------------
% 1.64/1.34 % (7710)------------------------------
% 1.64/1.34 % (7706)Refutation not found, incomplete strategy
% 1.64/1.34 % (7706)------------------------------
% 1.64/1.34 % (7706)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.34 % (7706)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.34
% 1.64/1.34
% 1.64/1.34 % (7706)Memory used [KB]: 5628
% 1.64/1.34 % (7706)Time elapsed: 0.043 s
% 1.64/1.34 % (7706)Instructions burned: 31 (million)
% 1.64/1.34 % (7706)------------------------------
% 1.64/1.34 % (7706)------------------------------
% 1.64/1.35 % (7711)Instruction limit reached!
% 1.64/1.35 % (7711)------------------------------
% 1.64/1.35 % (7711)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.35 % (7711)Termination reason: Unknown
% 1.64/1.35 % (7711)Termination phase: Saturation
% 1.64/1.35
% 1.64/1.35 % (7711)Memory used [KB]: 5628
% 1.64/1.35 % (7711)Time elapsed: 0.005 s
% 1.64/1.35 % (7711)Instructions burned: 9 (million)
% 1.64/1.35 % (7711)------------------------------
% 1.64/1.35 % (7711)------------------------------
% 1.64/1.35 % (7708)Instruction limit reached!
% 1.64/1.35 % (7708)------------------------------
% 1.64/1.35 % (7708)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.35 % (7708)Termination reason: Unknown
% 1.64/1.35 % (7708)Termination phase: Saturation
% 1.64/1.35
% 1.64/1.35 % (7708)Memory used [KB]: 5628
% 1.64/1.35 % (7708)Time elapsed: 0.012 s
% 1.64/1.35 % (7708)Instructions burned: 17 (million)
% 1.64/1.35 % (7708)------------------------------
% 1.64/1.35 % (7708)------------------------------
% 1.64/1.35 % (7714)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/18Mi)
% 1.64/1.35 % (7712)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/3Mi)
% 1.64/1.35 % (7713)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/4Mi)
% 1.64/1.35 % (7712)Instruction limit reached!
% 1.64/1.35 % (7712)------------------------------
% 1.64/1.35 % (7712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.35 % (7712)Termination reason: Unknown
% 1.64/1.35 % (7712)Termination phase: Saturation
% 1.64/1.35
% 1.64/1.35 % (7712)Memory used [KB]: 5500
% 1.64/1.35 % (7712)Time elapsed: 0.004 s
% 1.64/1.35 % (7712)Instructions burned: 3 (million)
% 1.64/1.35 % (7712)------------------------------
% 1.64/1.35 % (7712)------------------------------
% 1.64/1.36 % (7713)Instruction limit reached!
% 1.64/1.36 % (7713)------------------------------
% 1.64/1.36 % (7713)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.36 % (7713)Termination reason: Unknown
% 1.64/1.36 % (7713)Termination phase: Saturation
% 1.64/1.36
% 1.64/1.36 % (7713)Memory used [KB]: 5500
% 1.64/1.36 % (7713)Time elapsed: 0.003 s
% 1.64/1.36 % (7713)Instructions burned: 4 (million)
% 1.64/1.36 % (7713)------------------------------
% 1.64/1.36 % (7713)------------------------------
% 1.64/1.36 % (7716)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/6Mi)
% 1.64/1.36 % (7714)Refutation not found, incomplete strategy
% 1.64/1.36 % (7714)------------------------------
% 1.64/1.36 % (7714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.36 % (7714)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.36
% 1.64/1.36 % (7715)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/710Mi)
% 1.64/1.36
% 1.64/1.36 % (7714)Memory used [KB]: 5628
% 1.64/1.36 % (7714)Time elapsed: 0.005 s
% 1.64/1.36 % (7714)Instructions burned: 12 (million)
% 1.64/1.36 % (7714)------------------------------
% 1.64/1.36 % (7714)------------------------------
% 1.64/1.36 % (7716)Instruction limit reached!
% 1.64/1.36 % (7716)------------------------------
% 1.64/1.36 % (7716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.36 % (7716)Termination reason: Unknown
% 1.64/1.36 % (7716)Termination phase: Saturation
% 1.64/1.36
% 1.64/1.36 % (7716)Memory used [KB]: 5500
% 1.64/1.36 % (7716)Time elapsed: 0.004 s
% 1.64/1.36 % (7716)Instructions burned: 6 (million)
% 1.64/1.36 % (7716)------------------------------
% 1.64/1.36 % (7716)------------------------------
% 1.64/1.37 % (7719)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/5Mi)
% 1.64/1.37 % (7720)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_7597 for (2999ds/6Mi)
% 1.64/1.37 % (7719)Instruction limit reached!
% 1.64/1.37 % (7719)------------------------------
% 1.64/1.37 % (7719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.37 % (7719)Termination reason: Unknown
% 1.64/1.37 % (7719)Termination phase: Saturation
% 1.64/1.37
% 1.64/1.37 % (7719)Memory used [KB]: 5500
% 1.64/1.37 % (7719)Time elapsed: 0.004 s
% 1.64/1.37 % (7719)Instructions burned: 7 (million)
% 1.64/1.37 % (7719)------------------------------
% 1.64/1.37 % (7719)------------------------------
% 1.64/1.37 % (7720)Refutation not found, incomplete strategy
% 1.64/1.37 % (7720)------------------------------
% 1.64/1.37 % (7720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.37 % (7720)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.37
% 1.64/1.37 % (7717)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_7597 for (2999ds/902Mi)
% 1.64/1.37
% 1.64/1.37 % (7720)Memory used [KB]: 5500
% 1.64/1.37 % (7720)Time elapsed: 0.002 s
% 1.64/1.37 % (7720)Instructions burned: 4 (million)
% 1.64/1.37 % (7720)------------------------------
% 1.64/1.37 % (7720)------------------------------
% 1.64/1.37 % (7722)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/377Mi)
% 1.64/1.37 % (7717)Refutation not found, incomplete strategy
% 1.64/1.37 % (7717)------------------------------
% 1.64/1.37 % (7717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.37 % (7717)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.37
% 1.64/1.37
% 1.64/1.37 % (7717)Memory used [KB]: 5500
% 1.64/1.37 % (7717)Time elapsed: 0.005 s
% 1.64/1.37 % (7717)Instructions burned: 5 (million)
% 1.64/1.37 % (7717)------------------------------
% 1.64/1.37 % (7717)------------------------------
% 1.64/1.37 % (7718)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_7597 for (2999ds/21Mi)
% 1.64/1.38 % (7724)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_7597 for (2999ds/19Mi)
% 1.64/1.38 % (7723)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_7597 for (2999ds/779Mi)
% 1.64/1.38 % (7724)Instruction limit reached!
% 1.64/1.38 % (7724)------------------------------
% 1.64/1.38 % (7724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.38 % (7724)Termination reason: Unknown
% 1.64/1.38 % (7724)Termination phase: Saturation
% 1.64/1.38
% 1.64/1.38 % (7724)Memory used [KB]: 5500
% 1.64/1.38 % (7724)Time elapsed: 0.007 s
% 1.64/1.38 % (7724)Instructions burned: 21 (million)
% 1.64/1.38 % (7724)------------------------------
% 1.64/1.38 % (7724)------------------------------
% 1.64/1.38 % (7725)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/879Mi)
% 1.64/1.39 % (7718)Instruction limit reached!
% 1.64/1.39 % (7718)------------------------------
% 1.64/1.39 % (7718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.39 % (7718)Termination reason: Unknown
% 1.64/1.39 % (7718)Termination phase: Saturation
% 1.64/1.39
% 1.64/1.39 % (7718)Memory used [KB]: 5628
% 1.64/1.39 % (7718)Time elapsed: 0.023 s
% 1.64/1.39 % (7718)Instructions burned: 21 (million)
% 1.64/1.39 % (7718)------------------------------
% 1.64/1.39 % (7718)------------------------------
% 1.64/1.40 % (7726)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/17Mi)
% 1.64/1.40 % (7695)Instruction limit reached!
% 1.64/1.40 % (7695)------------------------------
% 1.64/1.40 % (7695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.40 % (7695)Termination reason: Unknown
% 1.64/1.40 % (7695)Termination phase: Saturation
% 1.64/1.40
% 1.64/1.40 % (7695)Memory used [KB]: 8059
% 1.64/1.40 % (7695)Time elapsed: 0.094 s
% 1.64/1.40 % (7695)Instructions burned: 184 (million)
% 1.64/1.40 % (7695)------------------------------
% 1.64/1.40 % (7695)------------------------------
% 1.64/1.40 % (7726)Instruction limit reached!
% 1.64/1.40 % (7726)------------------------------
% 1.64/1.40 % (7726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.40 % (7726)Termination reason: Unknown
% 1.64/1.40 % (7726)Termination phase: Saturation
% 1.64/1.40
% 1.64/1.40 % (7726)Memory used [KB]: 5628
% 1.64/1.40 % (7726)Time elapsed: 0.007 s
% 1.64/1.40 % (7726)Instructions burned: 18 (million)
% 1.64/1.40 % (7726)------------------------------
% 1.64/1.40 % (7726)------------------------------
% 1.64/1.41 % (7729)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_7597 for (2998ds/127Mi)
% 1.64/1.42 % (7728)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_7597 for (2998ds/30Mi)
% 1.64/1.43 % (7727)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_7597 for (2999ds/3Mi)
% 1.64/1.43 % (7727)Instruction limit reached!
% 1.64/1.43 % (7727)------------------------------
% 1.64/1.43 % (7727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.43 % (7727)Termination reason: Unknown
% 1.64/1.43 % (7727)Termination phase: Equality resolution with deletion
% 1.64/1.43
% 1.64/1.43 % (7727)Memory used [KB]: 1023
% 1.64/1.43 % (7727)Time elapsed: 0.004 s
% 1.64/1.43 % (7727)Instructions burned: 3 (million)
% 1.64/1.43 % (7727)------------------------------
% 1.64/1.43 % (7727)------------------------------
% 1.64/1.43 % (7728)Instruction limit reached!
% 1.64/1.43 % (7728)------------------------------
% 1.64/1.43 % (7728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.43 % (7728)Termination reason: Unknown
% 1.64/1.43 % (7728)Termination phase: Saturation
% 1.64/1.43
% 1.64/1.43 % (7728)Memory used [KB]: 5756
% 1.64/1.43 % (7728)Time elapsed: 0.019 s
% 1.64/1.43 % (7728)Instructions burned: 30 (million)
% 1.64/1.43 % (7728)------------------------------
% 1.64/1.43 % (7728)------------------------------
% 1.64/1.44 % (7730)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_7597 for (2998ds/100Mi)
% 1.64/1.45 % (7729)Instruction limit reached!
% 1.64/1.45 % (7729)------------------------------
% 1.64/1.45 % (7729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.45 % (7729)Termination reason: Unknown
% 1.64/1.45 % (7729)Termination phase: Saturation
% 1.64/1.45
% 1.64/1.45 % (7729)Memory used [KB]: 6012
% 1.64/1.45 % (7729)Time elapsed: 0.036 s
% 1.64/1.45 % (7729)Instructions burned: 128 (million)
% 1.64/1.45 % (7729)------------------------------
% 1.64/1.45 % (7729)------------------------------
% 1.64/1.45 % (7731)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_7597 for (2998ds/3Mi)
% 1.64/1.45 % (7731)Instruction limit reached!
% 1.64/1.45 % (7731)------------------------------
% 1.64/1.45 % (7731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.45 % (7731)Termination reason: Unknown
% 1.64/1.45 % (7731)Termination phase: Saturation
% 1.64/1.45
% 1.64/1.45 % (7731)Memory used [KB]: 5500
% 1.64/1.45 % (7731)Time elapsed: 0.004 s
% 1.64/1.45 % (7731)Instructions burned: 4 (million)
% 1.64/1.45 % (7731)------------------------------
% 1.64/1.45 % (7731)------------------------------
% 1.64/1.46 % (7732)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_7597 for (2998ds/20Mi)
% 1.64/1.46 % (7732)Instruction limit reached!
% 1.64/1.46 % (7732)------------------------------
% 1.64/1.46 % (7732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.46 % (7732)Termination reason: Unknown
% 1.64/1.46 % (7732)Termination phase: Saturation
% 1.64/1.46
% 1.64/1.46 % (7732)Memory used [KB]: 5628
% 1.64/1.46 % (7732)Time elapsed: 0.007 s
% 1.64/1.46 % (7732)Instructions burned: 20 (million)
% 1.64/1.46 % (7732)------------------------------
% 1.64/1.46 % (7732)------------------------------
% 1.64/1.46 % (7730)Refutation not found, incomplete strategy
% 1.64/1.46 % (7730)------------------------------
% 1.64/1.46 % (7730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.46 % (7730)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.46
% 1.64/1.46
% 1.64/1.46 % (7730)Memory used [KB]: 5628
% 1.64/1.46 % (7730)Time elapsed: 0.020 s
% 1.64/1.46 % (7730)Instructions burned: 36 (million)
% 1.64/1.46 % (7730)------------------------------
% 1.64/1.46 % (7730)------------------------------
% 1.64/1.47 % (7733)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_7597 for (2998ds/86Mi)
% 1.64/1.47 % (7734)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_7597 for (2998ds/107Mi)
% 1.64/1.47 % (7735)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_7597 for (2998ds/39Mi)
% 1.64/1.48 % (7722)Instruction limit reached!
% 1.64/1.48 % (7722)------------------------------
% 1.64/1.48 % (7722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.48 % (7722)Termination reason: Unknown
% 1.64/1.48 % (7722)Termination phase: Saturation
% 1.64/1.48
% 1.64/1.48 % (7722)Memory used [KB]: 6012
% 1.64/1.48 % (7722)Time elapsed: 0.109 s
% 1.64/1.48 % (7722)Instructions burned: 377 (million)
% 1.64/1.48 % (7722)------------------------------
% 1.64/1.48 % (7722)------------------------------
% 1.64/1.48 % (7734)Refutation not found, incomplete strategy
% 1.64/1.48 % (7734)------------------------------
% 1.64/1.48 % (7734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.48 % (7734)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.48
% 1.64/1.48
% 1.64/1.48 % (7734)Memory used [KB]: 5628
% 1.64/1.48 % (7734)Time elapsed: 0.012 s
% 1.64/1.48 % (7734)Instructions burned: 33 (million)
% 1.64/1.48 % (7734)------------------------------
% 1.64/1.48 % (7734)------------------------------
% 1.64/1.49 % (7736)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_7597 for (2998ds/448Mi)
% 1.64/1.49 % (7735)Instruction limit reached!
% 1.64/1.49 % (7735)------------------------------
% 1.64/1.49 % (7735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.49 % (7735)Termination reason: Unknown
% 1.64/1.49 % (7735)Termination phase: Saturation
% 1.64/1.49
% 1.64/1.49 % (7735)Memory used [KB]: 5628
% 1.64/1.49 % (7735)Time elapsed: 0.036 s
% 1.64/1.49 % (7735)Instructions burned: 39 (million)
% 1.64/1.49 % (7735)------------------------------
% 1.64/1.49 % (7735)------------------------------
% 1.64/1.49 % (7733)Instruction limit reached!
% 1.64/1.49 % (7733)------------------------------
% 1.64/1.49 % (7733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.49 % (7733)Termination reason: Unknown
% 1.64/1.49 % (7733)Termination phase: Saturation
% 1.64/1.49
% 1.64/1.49 % (7733)Memory used [KB]: 6140
% 1.64/1.49 % (7733)Time elapsed: 0.026 s
% 1.64/1.49 % (7733)Instructions burned: 86 (million)
% 1.64/1.49 % (7733)------------------------------
% 1.64/1.49 % (7733)------------------------------
% 1.64/1.49 % (7737)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_7597 for (2998ds/46Mi)
% 1.64/1.50 % (7738)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_7597 for (2998ds/98Mi)
% 1.64/1.50 % (7739)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_7597 for (2997ds/507Mi)
% 1.64/1.51 % (7737)Instruction limit reached!
% 1.64/1.51 % (7737)------------------------------
% 1.64/1.51 % (7737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.51 % (7737)Termination reason: Unknown
% 1.64/1.51 % (7737)Termination phase: Saturation
% 1.64/1.51
% 1.64/1.51 % (7737)Memory used [KB]: 5756
% 1.64/1.51 % (7737)Time elapsed: 0.039 s
% 1.64/1.51 % (7737)Instructions burned: 47 (million)
% 1.64/1.51 % (7737)------------------------------
% 1.64/1.51 % (7737)------------------------------
% 1.64/1.51 % (7739)Refutation not found, incomplete strategy
% 1.64/1.51 % (7739)------------------------------
% 1.64/1.51 % (7739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.51 % (7739)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.51
% 1.64/1.51
% 1.64/1.51 % (7739)Memory used [KB]: 5628
% 1.64/1.51 % (7739)Time elapsed: 0.010 s
% 1.64/1.51 % (7739)Instructions burned: 28 (million)
% 1.64/1.51 % (7739)------------------------------
% 1.64/1.51 % (7739)------------------------------
% 1.64/1.52 % (7740)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_7597 for (2997ds/149Mi)
% 1.64/1.52 % (7725)Refutation not found, incomplete strategy
% 1.64/1.52 % (7725)------------------------------
% 1.64/1.52 % (7725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.52 % (7725)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.52
% 1.64/1.52
% 1.64/1.52 % (7725)Memory used [KB]: 6524
% 1.64/1.52 % (7725)Time elapsed: 0.142 s
% 1.64/1.52 % (7725)Instructions burned: 340 (million)
% 1.64/1.52 % (7725)------------------------------
% 1.64/1.52 % (7725)------------------------------
% 1.64/1.53 % (7738)Instruction limit reached!
% 1.64/1.53 % (7738)------------------------------
% 1.64/1.53 % (7738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.53 % (7738)Termination reason: Unknown
% 1.64/1.53 % (7738)Termination phase: Saturation
% 1.64/1.53
% 1.64/1.53 % (7738)Memory used [KB]: 1279
% 1.64/1.53 % (7738)Time elapsed: 0.056 s
% 1.64/1.53 % (7738)Instructions burned: 99 (million)
% 1.64/1.53 % (7738)------------------------------
% 1.64/1.53 % (7738)------------------------------
% 1.64/1.53 % (7742)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_7597 for (2997ds/6Mi)
% 1.64/1.54 % (7742)Instruction limit reached!
% 1.64/1.54 % (7742)------------------------------
% 1.64/1.54 % (7742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.54 % (7742)Termination reason: Unknown
% 1.64/1.54 % (7742)Termination phase: Saturation
% 1.64/1.54
% 1.64/1.54 % (7742)Memory used [KB]: 9978
% 1.64/1.54 % (7742)Time elapsed: 0.004 s
% 1.64/1.54 % (7742)Instructions burned: 8 (million)
% 1.64/1.54 % (7742)------------------------------
% 1.64/1.54 % (7742)------------------------------
% 1.64/1.54 % (7741)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_7597 for (2997ds/39Mi)
% 1.64/1.54 % (7743)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_7597 for (2997ds/1087Mi)
% 1.64/1.55 % (7744)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_7597 for (2997ds/47Mi)
% 1.64/1.55 % (7741)Instruction limit reached!
% 1.64/1.55 % (7741)------------------------------
% 1.64/1.55 % (7741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.55 % (7741)Termination reason: Unknown
% 1.64/1.55 % (7741)Termination phase: Saturation
% 1.64/1.55
% 1.64/1.55 % (7741)Memory used [KB]: 5628
% 1.64/1.55 % (7741)Time elapsed: 0.015 s
% 1.64/1.55 % (7741)Instructions burned: 41 (million)
% 1.64/1.55 % (7741)------------------------------
% 1.64/1.55 % (7741)------------------------------
% 1.64/1.56 % (7745)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_7597 for (2997ds/44Mi)
% 1.64/1.56 % (7740)Instruction limit reached!
% 1.64/1.56 % (7740)------------------------------
% 1.64/1.56 % (7740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.56 % (7740)Termination reason: Unknown
% 1.64/1.56 % (7740)Termination phase: Saturation
% 1.64/1.56
% 1.64/1.56 % (7740)Memory used [KB]: 6012
% 1.64/1.56 % (7740)Time elapsed: 0.047 s
% 1.64/1.56 % (7740)Instructions burned: 150 (million)
% 1.64/1.56 % (7740)------------------------------
% 1.64/1.56 % (7740)------------------------------
% 1.64/1.56 % (7744)Instruction limit reached!
% 1.64/1.56 % (7744)------------------------------
% 1.64/1.56 % (7744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.56 % (7744)Termination reason: Unknown
% 1.64/1.56 % (7744)Termination phase: Saturation
% 1.64/1.56
% 1.64/1.56 % (7744)Memory used [KB]: 5756
% 1.64/1.56 % (7744)Time elapsed: 0.015 s
% 1.64/1.56 % (7744)Instructions burned: 48 (million)
% 1.64/1.56 % (7744)------------------------------
% 1.64/1.56 % (7744)------------------------------
% 1.64/1.57 % (7746)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_7597 for (2997ds/432Mi)
% 1.64/1.57 % (7747)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_7597 for (2997ds/62Mi)
% 1.64/1.58 % (7745)Instruction limit reached!
% 1.64/1.58 % (7745)------------------------------
% 1.64/1.58 % (7745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.58 % (7745)Termination reason: Unknown
% 1.64/1.58 % (7745)Termination phase: Saturation
% 1.64/1.58
% 1.64/1.58 % (7745)Memory used [KB]: 1151
% 1.64/1.58 % (7745)Time elapsed: 0.015 s
% 1.64/1.58 % (7745)Instructions burned: 46 (million)
% 1.64/1.58 % (7745)------------------------------
% 1.64/1.58 % (7745)------------------------------
% 1.64/1.58 % (7748)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_7597 for (2997ds/31Mi)
% 1.64/1.59 % (7747)Instruction limit reached!
% 1.64/1.59 % (7747)------------------------------
% 1.64/1.59 % (7747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.59 % (7747)Termination reason: Unknown
% 1.64/1.59 % (7747)Termination phase: Saturation
% 1.64/1.59
% 1.64/1.59 % (7747)Memory used [KB]: 5756
% 1.64/1.59 % (7747)Time elapsed: 0.020 s
% 1.64/1.59 % (7747)Instructions burned: 65 (million)
% 1.64/1.59 % (7747)------------------------------
% 1.64/1.59 % (7747)------------------------------
% 1.64/1.59 % (7748)Instruction limit reached!
% 1.64/1.59 % (7748)------------------------------
% 1.64/1.59 % (7748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.59 % (7748)Termination reason: Unknown
% 1.64/1.59 % (7748)Termination phase: Saturation
% 1.64/1.59
% 1.64/1.59 % (7748)Memory used [KB]: 5756
% 1.64/1.59 % (7748)Time elapsed: 0.011 s
% 1.64/1.59 % (7748)Instructions burned: 32 (million)
% 1.64/1.59 % (7748)------------------------------
% 1.64/1.59 % (7748)------------------------------
% 1.64/1.60 % (7749)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_7597 for (2996ds/96Mi)
% 1.64/1.60 % (7715)Instruction limit reached!
% 1.64/1.60 % (7715)------------------------------
% 1.64/1.60 % (7715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.60 % (7715)Termination reason: Unknown
% 1.64/1.60 % (7715)Termination phase: Saturation
% 1.64/1.60
% 1.64/1.60 % (7715)Memory used [KB]: 7291
% 1.64/1.60 % (7715)Time elapsed: 0.245 s
% 1.64/1.60 % (7715)Instructions burned: 710 (million)
% 1.64/1.60 % (7715)------------------------------
% 1.64/1.60 % (7715)------------------------------
% 1.64/1.60 % (7750)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_7597 for (2996ds/453Mi)
% 1.64/1.61 % (7750)Refutation not found, incomplete strategy
% 1.64/1.61 % (7750)------------------------------
% 1.64/1.61 % (7750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.61 % (7750)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.61
% 1.64/1.61
% 1.64/1.61 % (7750)Memory used [KB]: 5500
% 1.64/1.61 % (7750)Time elapsed: 0.006 s
% 1.64/1.61 % (7750)Instructions burned: 16 (million)
% 1.64/1.61 % (7750)------------------------------
% 1.64/1.61 % (7750)------------------------------
% 1.64/1.61 % (7751)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_7597 for (2996ds/71Mi)
% 1.64/1.62 % (7752)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_7597 for (2996ds/83Mi)
% 1.64/1.63 % (7736)Instruction limit reached!
% 1.64/1.63 % (7736)------------------------------
% 1.64/1.63 % (7736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.63 % (7736)Termination reason: Unknown
% 1.64/1.63 % (7736)Termination phase: Saturation
% 1.64/1.63
% 1.64/1.63 % (7736)Memory used [KB]: 6780
% 1.64/1.63 % (7736)Time elapsed: 0.162 s
% 1.64/1.63 % (7736)Instructions burned: 450 (million)
% 1.64/1.63 % (7736)------------------------------
% 1.64/1.63 % (7736)------------------------------
% 1.64/1.63 % (7749)Instruction limit reached!
% 1.64/1.63 % (7749)------------------------------
% 1.64/1.63 % (7749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.63 % (7749)Termination reason: Unknown
% 1.64/1.63 % (7749)Termination phase: Saturation
% 1.64/1.63
% 1.64/1.63 % (7749)Memory used [KB]: 6012
% 1.64/1.63 % (7749)Time elapsed: 0.029 s
% 1.64/1.63 % (7749)Instructions burned: 97 (million)
% 1.64/1.63 % (7749)------------------------------
% 1.64/1.63 % (7749)------------------------------
% 1.64/1.64 % (7753)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_7597 for (2996ds/11Mi)
% 1.64/1.64 % (7753)Refutation not found, incomplete strategy
% 1.64/1.64 % (7753)------------------------------
% 1.64/1.64 % (7753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.64 % (7753)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.64
% 1.64/1.64
% 1.64/1.64 % (7753)Memory used [KB]: 5500
% 1.64/1.64 % (7753)Time elapsed: 0.002 s
% 1.64/1.64 % (7753)Instructions burned: 3 (million)
% 1.64/1.64 % (7753)------------------------------
% 1.64/1.64 % (7753)------------------------------
% 1.64/1.64 % (7751)Instruction limit reached!
% 1.64/1.64 % (7751)------------------------------
% 1.64/1.64 % (7751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.64 % (7751)Termination reason: Unknown
% 1.64/1.64 % (7751)Termination phase: Saturation
% 1.64/1.64
% 1.64/1.64 % (7751)Memory used [KB]: 5756
% 1.64/1.64 % (7751)Time elapsed: 0.027 s
% 1.64/1.64 % (7751)Instructions burned: 72 (million)
% 1.64/1.64 % (7751)------------------------------
% 1.64/1.64 % (7751)------------------------------
% 1.64/1.64 % (7754)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_7597 for (2996ds/41Mi)
% 1.64/1.64 % (7754)Refutation not found, incomplete strategy
% 1.64/1.64 % (7754)------------------------------
% 1.64/1.64 % (7754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.64 % (7754)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.64
% 1.64/1.64
% 1.64/1.64 % (7754)Memory used [KB]: 5500
% 1.64/1.64 % (7754)Time elapsed: 0.002 s
% 1.64/1.64 % (7754)Instructions burned: 3 (million)
% 1.64/1.64 % (7754)------------------------------
% 1.64/1.64 % (7754)------------------------------
% 1.64/1.64 % (7752)Instruction limit reached!
% 1.64/1.64 % (7752)------------------------------
% 1.64/1.64 % (7752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.64 % (7752)Termination reason: Unknown
% 1.64/1.64 % (7752)Termination phase: Saturation
% 1.64/1.64
% 1.64/1.64 % (7752)Memory used [KB]: 5884
% 1.64/1.64 % (7752)Time elapsed: 0.024 s
% 1.64/1.64 % (7752)Instructions burned: 84 (million)
% 1.64/1.64 % (7752)------------------------------
% 1.64/1.64 % (7752)------------------------------
% 1.64/1.65 % (7755)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7597 for (2996ds/6Mi)
% 1.64/1.65 % (7756)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_7597 for (2996ds/150Mi)
% 1.64/1.65 % (7755)Instruction limit reached!
% 1.64/1.65 % (7755)------------------------------
% 1.64/1.65 % (7755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.65 % (7755)Termination reason: Unknown
% 1.64/1.65 % (7755)Termination phase: Saturation
% 1.64/1.65
% 1.64/1.65 % (7755)Memory used [KB]: 5500
% 1.64/1.65 % (7755)Time elapsed: 0.003 s
% 1.64/1.65 % (7755)Instructions burned: 6 (million)
% 1.64/1.65 % (7755)------------------------------
% 1.64/1.65 % (7755)------------------------------
% 1.64/1.65 % (7757)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_7597 for (2996ds/343Mi)
% 1.64/1.65 % (7758)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_7597 for (2996ds/109Mi)
% 1.64/1.66 % (7759)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_7597 for (2996ds/253Mi)
% 1.64/1.67 % (7759)Refutation not found, incomplete strategy
% 1.64/1.67 % (7759)------------------------------
% 1.64/1.67 % (7759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.67 % (7759)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.67
% 1.64/1.67
% 1.64/1.67 % (7759)Memory used [KB]: 5628
% 1.64/1.67 % (7759)Time elapsed: 0.009 s
% 1.64/1.67 % (7759)Instructions burned: 25 (million)
% 1.64/1.67 % (7759)------------------------------
% 1.64/1.67 % (7759)------------------------------
% 1.64/1.67 % (7723)Instruction limit reached!
% 1.64/1.67 % (7723)------------------------------
% 1.64/1.67 % (7723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.67 % (7723)Termination reason: Unknown
% 1.64/1.67 % (7723)Termination phase: Saturation
% 1.64/1.67
% 1.64/1.67 % (7723)Memory used [KB]: 6140
% 1.64/1.67 % (7723)Time elapsed: 0.294 s
% 1.64/1.67 % (7723)Instructions burned: 779 (million)
% 1.64/1.67 % (7723)------------------------------
% 1.64/1.67 % (7723)------------------------------
% 1.64/1.68 % (7760)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_7597 for (2996ds/140Mi)
% 1.64/1.68 % (7758)Instruction limit reached!
% 1.64/1.68 % (7758)------------------------------
% 1.64/1.68 % (7758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.68 % (7758)Termination reason: Unknown
% 1.64/1.68 % (7758)Termination phase: Saturation
% 1.64/1.68
% 1.64/1.68 % (7758)Memory used [KB]: 6012
% 1.64/1.68 % (7758)Time elapsed: 0.032 s
% 1.64/1.68 % (7758)Instructions burned: 109 (million)
% 1.64/1.68 % (7758)------------------------------
% 1.64/1.68 % (7758)------------------------------
% 1.64/1.69 % (7761)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_7597 for (2996ds/614Mi)
% 1.64/1.69 % (7757)Refutation not found, incomplete strategy
% 1.64/1.69 % (7757)------------------------------
% 1.64/1.69 % (7757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.69 % (7757)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.69
% 1.64/1.69
% 1.64/1.69 % (7757)Memory used [KB]: 6140
% 1.64/1.69 % (7757)Time elapsed: 0.039 s
% 1.64/1.69 % (7757)Instructions burned: 126 (million)
% 1.64/1.69 % (7757)------------------------------
% 1.64/1.69 % (7757)------------------------------
% 1.64/1.69 % (7762)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_7597 for (2996ds/202Mi)
% 1.64/1.69 % (7756)Instruction limit reached!
% 1.64/1.69 % (7756)------------------------------
% 1.64/1.69 % (7756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.69 % (7756)Termination reason: Unknown
% 1.64/1.69 % (7756)Termination phase: Saturation
% 1.64/1.69
% 1.64/1.69 % (7756)Memory used [KB]: 6140
% 1.64/1.69 % (7756)Time elapsed: 0.047 s
% 1.64/1.69 % (7756)Instructions burned: 150 (million)
% 1.64/1.69 % (7756)------------------------------
% 1.64/1.69 % (7756)------------------------------
% 1.64/1.69 % (7762)Refutation not found, incomplete strategy
% 1.64/1.69 % (7762)------------------------------
% 1.64/1.69 % (7762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.69 % (7762)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.69
% 1.64/1.69
% 1.64/1.69 % (7762)Memory used [KB]: 5628
% 1.64/1.69 % (7762)Time elapsed: 0.004 s
% 1.64/1.70 % (7762)Instructions burned: 10 (million)
% 1.64/1.70 % (7762)------------------------------
% 1.64/1.70 % (7762)------------------------------
% 1.64/1.70 % (7760)Refutation not found, incomplete strategy
% 1.64/1.70 % (7760)------------------------------
% 1.64/1.70 % (7760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.70 % (7760)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.70
% 1.64/1.70
% 1.64/1.70 % (7760)Memory used [KB]: 5884
% 1.64/1.70 % (7763)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_7597 for (2996ds/339Mi)
% 1.64/1.70 % (7760)Time elapsed: 0.022 s
% 1.64/1.70 % (7760)Instructions burned: 70 (million)
% 1.64/1.70 % (7760)------------------------------
% 1.64/1.70 % (7760)------------------------------
% 1.64/1.70 % (7746)Instruction limit reached!
% 1.64/1.70 % (7746)------------------------------
% 1.64/1.70 % (7746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.70 % (7746)Termination reason: Unknown
% 1.64/1.70 % (7746)Termination phase: Saturation
% 1.64/1.70
% 1.64/1.70 % (7746)Memory used [KB]: 1791
% 1.64/1.70 % (7746)Time elapsed: 0.128 s
% 1.64/1.70 % (7746)Instructions burned: 432 (million)
% 1.64/1.70 % (7746)------------------------------
% 1.64/1.70 % (7746)------------------------------
% 1.64/1.70 % (7764)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_7597 for (2995ds/283Mi)
% 1.64/1.70 % (7765)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_7597 for (2995ds/134Mi)
% 1.64/1.71 % (7764)Refutation not found, incomplete strategy
% 1.64/1.71 % (7764)------------------------------
% 1.64/1.71 % (7764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.71 % (7764)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.71
% 1.64/1.71
% 1.64/1.71 % (7764)Memory used [KB]: 5500
% 1.64/1.71 % (7764)Time elapsed: 0.003 s
% 1.64/1.71 % (7764)Instructions burned: 4 (million)
% 1.64/1.71 % (7764)------------------------------
% 1.64/1.71 % (7764)------------------------------
% 1.64/1.71 % (7766)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_7597 for (2995ds/298Mi)
% 1.64/1.71 % (7768)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_7597 for (2995ds/258Mi)
% 1.64/1.72 % (7768)Refutation not found, incomplete strategy
% 1.64/1.72 % (7768)------------------------------
% 1.64/1.72 % (7768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.72 % (7768)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.72
% 1.64/1.72
% 1.64/1.72 % (7768)Memory used [KB]: 5500
% 1.64/1.72 % (7768)Time elapsed: 0.002 s
% 1.64/1.72 % (7768)Instructions burned: 3 (million)
% 1.64/1.72 % (7768)------------------------------
% 1.64/1.72 % (7768)------------------------------
% 1.64/1.72 % (7767)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_7597 for (2995ds/192Mi)
% 1.64/1.73 % (7769)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_7597 for (2995ds/90Mi)
% 1.64/1.74 % (7765)Instruction limit reached!
% 1.64/1.74 % (7765)------------------------------
% 1.64/1.74 % (7765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.74 % (7765)Termination reason: Unknown
% 1.64/1.74 % (7765)Termination phase: Saturation
% 1.64/1.74
% 1.64/1.74 % (7765)Memory used [KB]: 6780
% 1.64/1.74 % (7765)Time elapsed: 0.038 s
% 1.64/1.74 % (7765)Instructions burned: 136 (million)
% 1.64/1.74 % (7765)------------------------------
% 1.64/1.74 % (7765)------------------------------
% 1.64/1.75 % (7770)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_7597 for (2995ds/231Mi)
% 1.64/1.75 % (7769)Instruction limit reached!
% 1.64/1.75 % (7769)------------------------------
% 1.64/1.75 % (7769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.75 % (7769)Termination reason: Unknown
% 1.64/1.75 % (7769)Termination phase: Saturation
% 1.64/1.75
% 1.64/1.75 % (7769)Memory used [KB]: 5884
% 1.64/1.75 % (7769)Time elapsed: 0.027 s
% 1.64/1.75 % (7769)Instructions burned: 91 (million)
% 1.64/1.75 % (7769)------------------------------
% 1.64/1.75 % (7769)------------------------------
% 1.64/1.76 % (7771)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_7597 for (2995ds/458Mi)
% 1.64/1.78 % (7761)Refutation not found, incomplete strategy
% 1.64/1.78 % (7761)------------------------------
% 1.64/1.78 % (7761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.78 % (7761)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.78
% 1.64/1.78
% 1.64/1.78 % (7761)Memory used [KB]: 6908
% 1.64/1.78 % (7761)Time elapsed: 0.092 s
% 1.64/1.78 % (7761)Instructions burned: 306 (million)
% 1.64/1.78 % (7761)------------------------------
% 1.64/1.78 % (7761)------------------------------
% 1.64/1.79 % (7772)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_7597 for (2995ds/31Mi)
% 1.64/1.79 % (7766)Instruction limit reached!
% 1.64/1.79 % (7766)------------------------------
% 1.64/1.79 % (7766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.79 % (7766)Termination reason: Unknown
% 1.64/1.79 % (7766)Termination phase: Saturation
% 1.64/1.79
% 1.64/1.79 % (7766)Memory used [KB]: 5884
% 1.64/1.79 % (7766)Time elapsed: 0.082 s
% 1.64/1.79 % (7766)Instructions burned: 299 (million)
% 1.64/1.79 % (7766)------------------------------
% 1.64/1.79 % (7766)------------------------------
% 1.64/1.80 % (7772)Instruction limit reached!
% 1.64/1.80 % (7772)------------------------------
% 1.64/1.80 % (7772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.80 % (7772)Termination reason: Unknown
% 1.64/1.80 % (7772)Termination phase: Saturation
% 1.64/1.80
% 1.64/1.80 % (7772)Memory used [KB]: 5756
% 1.64/1.80 % (7772)Time elapsed: 0.011 s
% 1.64/1.80 % (7772)Instructions burned: 33 (million)
% 1.64/1.80 % (7772)------------------------------
% 1.64/1.80 % (7772)------------------------------
% 1.64/1.80 % (7773)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_7597 for (2995ds/297Mi)
% 1.64/1.80 % (7763)Instruction limit reached!
% 1.64/1.80 % (7763)------------------------------
% 1.64/1.80 % (7763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.80 % (7763)Termination reason: Unknown
% 1.64/1.80 % (7763)Termination phase: Saturation
% 1.64/1.80
% 1.64/1.80 % (7763)Memory used [KB]: 6652
% 1.64/1.80 % (7763)Time elapsed: 0.103 s
% 1.64/1.80 % (7763)Instructions burned: 342 (million)
% 1.64/1.80 % (7763)------------------------------
% 1.64/1.80 % (7763)------------------------------
% 1.64/1.81 % (7767)Instruction limit reached!
% 1.64/1.81 % (7767)------------------------------
% 1.64/1.81 % (7767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.81 % (7767)Termination reason: Unknown
% 1.64/1.81 % (7767)Termination phase: Saturation
% 1.64/1.81
% 1.64/1.81 % (7767)Memory used [KB]: 5884
% 1.64/1.81 % (7767)Time elapsed: 0.088 s
% 1.64/1.81 % (7767)Instructions burned: 193 (million)
% 1.64/1.81 % (7767)------------------------------
% 1.64/1.81 % (7767)------------------------------
% 1.64/1.81 % (7774)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_7597 for (2994ds/987Mi)
% 1.64/1.81 % (7775)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_7597 for (2994ds/182Mi)
% 1.64/1.81 % (7771)Refutation not found, incomplete strategy
% 1.64/1.81 % (7771)------------------------------
% 1.64/1.81 % (7771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.81 % (7771)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.81
% 1.64/1.81
% 1.64/1.81 % (7771)Memory used [KB]: 6140
% 1.64/1.81 % (7771)Time elapsed: 0.050 s
% 1.64/1.81 % (7771)Instructions burned: 147 (million)
% 1.64/1.81 % (7771)------------------------------
% 1.64/1.81 % (7771)------------------------------
% 1.64/1.82 % (7776)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_7597 for (2994ds/182Mi)
% 1.64/1.82 % (7770)Instruction limit reached!
% 1.64/1.82 % (7770)------------------------------
% 1.64/1.82 % (7770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.82 % (7770)Termination reason: Unknown
% 1.64/1.82 % (7770)Termination phase: Saturation
% 1.64/1.82
% 1.64/1.82 % (7770)Memory used [KB]: 6012
% 1.64/1.82 % (7770)Time elapsed: 0.066 s
% 1.64/1.82 % (7770)Instructions burned: 231 (million)
% 1.64/1.82 % (7770)------------------------------
% 1.64/1.82 % (7770)------------------------------
% 1.64/1.83 % (7778)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_7597 for (2994ds/79Mi)
% 1.64/1.83 % (7777)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_7597 for (2994ds/154Mi)
% 1.64/1.84 % (7774)Refutation not found, incomplete strategy
% 1.64/1.84 % (7774)------------------------------
% 1.64/1.84 % (7774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.84 % (7774)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.84
% 1.64/1.84
% 1.64/1.84 % (7774)Memory used [KB]: 5756
% 1.64/1.84 % (7774)Time elapsed: 0.030 s
% 1.64/1.84 % (7774)Instructions burned: 96 (million)
% 1.64/1.84 % (7774)------------------------------
% 1.64/1.84 % (7774)------------------------------
% 1.64/1.85 % (7779)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_7597 for (2994ds/216Mi)
% 1.64/1.85 % (7778)Instruction limit reached!
% 1.64/1.85 % (7778)------------------------------
% 1.64/1.85 % (7778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.85 % (7778)Termination reason: Unknown
% 1.64/1.85 % (7778)Termination phase: Saturation
% 1.64/1.85
% 1.64/1.85 % (7778)Memory used [KB]: 5756
% 1.64/1.85 % (7778)Time elapsed: 0.026 s
% 1.64/1.85 % (7778)Instructions burned: 80 (million)
% 1.64/1.85 % (7778)------------------------------
% 1.64/1.85 % (7778)------------------------------
% 1.64/1.85 % (7779)Refutation not found, incomplete strategy
% 1.64/1.85 % (7779)------------------------------
% 1.64/1.85 % (7779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.85 % (7779)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.85
% 1.64/1.85
% 1.64/1.85 % (7779)Memory used [KB]: 5500
% 1.64/1.85 % (7779)Time elapsed: 0.006 s
% 1.64/1.85 % (7779)Instructions burned: 16 (million)
% 1.64/1.85 % (7779)------------------------------
% 1.64/1.85 % (7779)------------------------------
% 1.64/1.86 % (7775)Instruction limit reached!
% 1.64/1.86 % (7775)------------------------------
% 1.64/1.86 % (7775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.86 % (7775)Termination reason: Unknown
% 1.64/1.86 % (7775)Termination phase: Saturation
% 1.64/1.86
% 1.64/1.86 % (7775)Memory used [KB]: 6140
% 1.64/1.86 % (7775)Time elapsed: 0.049 s
% 1.64/1.86 % (7775)Instructions burned: 183 (million)
% 1.64/1.86 % (7775)------------------------------
% 1.64/1.86 % (7775)------------------------------
% 1.64/1.86 % (7780)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_7597 for (2994ds/114Mi)
% 1.64/1.86 % (7781)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_7597 for (2994ds/922Mi)
% 1.64/1.87 % (7782)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_7597 for (2994ds/182Mi)
% 1.64/1.87 % (7782)Refutation not found, incomplete strategy
% 1.64/1.87 % (7782)------------------------------
% 1.64/1.87 % (7782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.87 % (7782)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.87
% 1.64/1.87
% 1.64/1.87 % (7782)Memory used [KB]: 5500
% 1.64/1.87 % (7782)Time elapsed: 0.002 s
% 1.64/1.87 % (7782)Instructions burned: 3 (million)
% 1.64/1.87 % (7782)------------------------------
% 1.64/1.87 % (7782)------------------------------
% 1.64/1.87 % (7776)Instruction limit reached!
% 1.64/1.87 % (7776)------------------------------
% 1.64/1.87 % (7776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.87 % (7776)Termination reason: Unknown
% 1.64/1.87 % (7776)Termination phase: Saturation
% 1.64/1.87
% 1.64/1.87 % (7776)Memory used [KB]: 6268
% 1.64/1.87 % (7776)Time elapsed: 0.055 s
% 1.64/1.87 % (7776)Instructions burned: 182 (million)
% 1.64/1.87 % (7776)------------------------------
% 1.64/1.87 % (7776)------------------------------
% 1.64/1.88 % (7783)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_7597 for (2994ds/164Mi)
% 1.64/1.88 % (7784)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_7597 for (2994ds/50Mi)
% 1.64/1.88 % (7743)Instruction limit reached!
% 1.64/1.88 % (7743)------------------------------
% 1.64/1.88 % (7743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.88 % (7743)Termination reason: Unknown
% 1.64/1.88 % (7743)Termination phase: Saturation
% 1.64/1.88
% 1.64/1.88 % (7743)Memory used [KB]: 7291
% 1.64/1.88 % (7743)Time elapsed: 0.344 s
% 1.64/1.88 % (7743)Instructions burned: 1089 (million)
% 1.64/1.88 % (7743)------------------------------
% 1.64/1.88 % (7743)------------------------------
% 1.64/1.88 % (7773)Instruction limit reached!
% 1.64/1.88 % (7773)------------------------------
% 1.64/1.88 % (7773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.88 % (7773)Termination reason: Unknown
% 1.64/1.88 % (7773)Termination phase: Saturation
% 1.64/1.88
% 1.64/1.88 % (7773)Memory used [KB]: 6268
% 1.64/1.88 % (7773)Time elapsed: 0.088 s
% 1.64/1.88 % (7773)Instructions burned: 297 (million)
% 1.64/1.88 % (7773)------------------------------
% 1.64/1.88 % (7773)------------------------------
% 1.64/1.89 % (7780)Instruction limit reached!
% 1.64/1.89 % (7780)------------------------------
% 1.64/1.89 % (7780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.89 % (7780)Termination reason: Unknown
% 1.64/1.89 % (7780)Termination phase: Saturation
% 1.64/1.89
% 1.64/1.89 % (7780)Memory used [KB]: 7547
% 1.64/1.89 % (7780)Time elapsed: 0.031 s
% 1.64/1.89 % (7780)Instructions burned: 114 (million)
% 1.64/1.89 % (7780)------------------------------
% 1.64/1.89 % (7780)------------------------------
% 1.64/1.89 % (7785)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_7597 for (2994ds/368Mi)
% 1.64/1.89 % (7786)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_7597 for (2994ds/1021Mi)
% 1.64/1.89 % (7784)Instruction limit reached!
% 1.64/1.89 % (7784)------------------------------
% 1.64/1.89 % (7784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.89 % (7784)Termination reason: Unknown
% 1.64/1.89 % (7784)Termination phase: Saturation
% 1.64/1.89
% 1.64/1.89 % (7784)Memory used [KB]: 10234
% 1.64/1.89 % (7784)Time elapsed: 0.017 s
% 1.64/1.89 % (7784)Instructions burned: 52 (million)
% 1.64/1.89 % (7784)------------------------------
% 1.64/1.89 % (7784)------------------------------
% 1.64/1.90 % (7787)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_7597 for (2993ds/267Mi)
% 1.64/1.90 % (7788)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_7597 for (2993ds/204Mi)
% 1.64/1.91 % (7777)Instruction limit reached!
% 1.64/1.91 % (7777)------------------------------
% 1.64/1.91 % (7777)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.91 % (7777)Termination reason: Unknown
% 1.64/1.91 % (7777)Termination phase: Saturation
% 1.64/1.91
% 1.64/1.91 % (7777)Memory used [KB]: 6140
% 1.64/1.91 % (7777)Time elapsed: 0.085 s
% 1.64/1.91 % (7777)Instructions burned: 154 (million)
% 1.64/1.91 % (7777)------------------------------
% 1.64/1.91 % (7777)------------------------------
% 1.64/1.93 % (7783)Instruction limit reached!
% 1.64/1.93 % (7783)------------------------------
% 1.64/1.93 % (7783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.93 % (7783)Termination reason: Unknown
% 1.64/1.93 % (7783)Termination phase: Saturation
% 1.64/1.93
% 1.64/1.93 % (7783)Memory used [KB]: 1407
% 1.64/1.93 % (7783)Time elapsed: 0.050 s
% 1.64/1.93 % (7783)Instructions burned: 166 (million)
% 1.64/1.93 % (7783)------------------------------
% 1.64/1.93 % (7783)------------------------------
% 1.64/1.93 % (7789)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_7597 for (2993ds/26Mi)
% 1.64/1.93 % (7789)Refutation not found, incomplete strategy
% 1.64/1.93 % (7789)------------------------------
% 1.64/1.93 % (7789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.93 % (7789)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.93
% 1.64/1.93
% 1.64/1.93 % (7789)Memory used [KB]: 5500
% 1.64/1.93 % (7789)Time elapsed: 0.004 s
% 1.64/1.93 % (7789)Instructions burned: 4 (million)
% 1.64/1.93 % (7789)------------------------------
% 1.64/1.93 % (7789)------------------------------
% 1.64/1.94 % (7790)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_7597 for (2993ds/53Mi)
% 1.64/1.94 % (7790)Refutation not found, incomplete strategy
% 1.64/1.94 % (7790)------------------------------
% 1.64/1.94 % (7790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.94 % (7790)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.94
% 1.64/1.94
% 1.64/1.94 % (7790)Memory used [KB]: 5500
% 1.64/1.94 % (7790)Time elapsed: 0.008 s
% 1.64/1.94 % (7790)Instructions burned: 24 (million)
% 1.64/1.94 % (7790)------------------------------
% 1.64/1.94 % (7790)------------------------------
% 1.64/1.95 % (7792)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_7597 for (2993ds/1539Mi)
% 1.64/1.95 % (7791)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_7597 for (2993ds/4436Mi)
% 1.64/1.97 % (7788)Instruction limit reached!
% 1.64/1.97 % (7788)------------------------------
% 1.64/1.97 % (7788)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.97 % (7788)Termination reason: Unknown
% 1.64/1.97 % (7788)Termination phase: Saturation
% 1.64/1.97
% 1.64/1.97 % (7788)Memory used [KB]: 6268
% 1.64/1.97 % (7788)Time elapsed: 0.062 s
% 1.64/1.97 % (7788)Instructions burned: 204 (million)
% 1.64/1.97 % (7788)------------------------------
% 1.64/1.97 % (7788)------------------------------
% 1.64/1.97 % (7793)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_7597 for (2993ds/408Mi)
% 1.64/1.98 % (7787)Instruction limit reached!
% 1.64/1.98 % (7787)------------------------------
% 1.64/1.98 % (7787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.98 % (7787)Termination reason: Unknown
% 1.64/1.98 % (7787)Termination phase: Saturation
% 1.64/1.98
% 1.64/1.98 % (7787)Memory used [KB]: 6012
% 1.64/1.98 % (7787)Time elapsed: 0.077 s
% 1.64/1.98 % (7787)Instructions burned: 269 (million)
% 1.64/1.98 % (7787)------------------------------
% 1.64/1.98 % (7787)------------------------------
% 1.64/1.98 % (7794)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_7597 for (2993ds/5205Mi)
% 1.64/2.00 % (7794)Refutation not found, incomplete strategy
% 1.64/2.00 % (7794)------------------------------
% 1.64/2.00 % (7794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/2.00 % (7794)Termination reason: Refutation not found, incomplete strategy
% 1.64/2.00
% 1.64/2.00
% 1.64/2.00 % (7794)Memory used [KB]: 5628
% 1.64/2.00 % (7794)Time elapsed: 0.011 s
% 1.64/2.00 % (7794)Instructions burned: 32 (million)
% 1.64/2.00 % (7794)------------------------------
% 1.64/2.00 % (7794)------------------------------
% 1.64/2.00 % (7785)Instruction limit reached!
% 1.64/2.00 % (7785)------------------------------
% 1.64/2.00 % (7785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/2.00 % (7785)Termination reason: Unknown
% 1.64/2.00 % (7785)Termination phase: Saturation
% 1.64/2.00
% 1.64/2.00 % (7785)Memory used [KB]: 7803
% 1.64/2.00 % (7785)Time elapsed: 0.130 s
% 1.64/2.00 % (7785)Instructions burned: 369 (million)
% 1.64/2.00 % (7785)------------------------------
% 1.64/2.00 % (7785)------------------------------
% 1.64/2.01 % (7795)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_7597 for (2992ds/1913Mi)
% 1.64/2.01 % (7796)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_7597 for (2992ds/4350Mi)
% 1.64/2.01 % (7795)Refutation not found, incomplete strategy
% 1.64/2.01 % (7795)------------------------------
% 1.64/2.01 % (7795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/2.01 % (7795)Termination reason: Refutation not found, incomplete strategy
% 1.64/2.01
% 1.64/2.01
% 1.64/2.01 % (7795)Memory used [KB]: 1151
% 1.64/2.01 % (7795)Time elapsed: 0.009 s
% 1.64/2.01 % (7795)Instructions burned: 26 (million)
% 1.64/2.01 % (7795)------------------------------
% 1.64/2.01 % (7795)------------------------------
% 6.60/2.02 % (7797)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=68:si=on:rtra=on_0 on DTF2THF_7597 for (2992ds/68Mi)
% 6.60/2.04 % (7797)Instruction limit reached!
% 6.60/2.04 % (7797)------------------------------
% 6.60/2.04 % (7797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.04 % (7797)Termination reason: Unknown
% 6.60/2.04 % (7797)Termination phase: Saturation
% 6.60/2.04
% 6.60/2.04 % (7797)Memory used [KB]: 5884
% 6.60/2.04 % (7797)Time elapsed: 0.021 s
% 6.60/2.04 % (7797)Instructions burned: 69 (million)
% 6.60/2.04 % (7797)------------------------------
% 6.60/2.04 % (7797)------------------------------
% 6.60/2.05 % (7798)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_7597 for (2992ds/358Mi)
% 6.60/2.10 % (7793)Instruction limit reached!
% 6.60/2.10 % (7793)------------------------------
% 6.60/2.10 % (7793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.60/2.10 % (7793)Termination reason: Unknown
% 6.60/2.10 % (7793)Termination phase: Saturation
% 6.60/2.10
% 6.60/2.10 % (7793)Memory used [KB]: 6524
% 6.60/2.10 % (7793)Time elapsed: 0.111 s
% 6.60/2.10 % (7793)Instructions burned: 411 (million)
% 6.60/2.10 % (7793)------------------------------
% 6.60/2.10 % (7793)------------------------------
% 7.11/2.12 % (7799)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_7597 for (2991ds/31Mi)
% 7.11/2.13 % (7781)Instruction limit reached!
% 7.11/2.13 % (7781)------------------------------
% 7.11/2.13 % (7781)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.13 % (7781)Termination reason: Unknown
% 7.11/2.13 % (7781)Termination phase: Saturation
% 7.11/2.13
% 7.11/2.13 % (7781)Memory used [KB]: 7291
% 7.11/2.13 % (7781)Time elapsed: 0.267 s
% 7.11/2.13 % (7781)Instructions burned: 924 (million)
% 7.11/2.13 % (7781)------------------------------
% 7.11/2.13 % (7781)------------------------------
% 7.11/2.14 % (7800)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_7597 for (2991ds/279Mi)
% 7.11/2.14 % (7798)Refutation not found, incomplete strategy
% 7.11/2.14 % (7798)------------------------------
% 7.11/2.14 % (7798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.14 % (7798)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.14
% 7.11/2.14
% 7.11/2.14 % (7798)Memory used [KB]: 6268
% 7.11/2.14 % (7798)Time elapsed: 0.086 s
% 7.11/2.14 % (7799)Instruction limit reached!
% 7.11/2.14 % (7799)------------------------------
% 7.11/2.14 % (7799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.14 % (7798)Instructions burned: 281 (million)
% 7.11/2.14 % (7798)------------------------------
% 7.11/2.14 % (7798)------------------------------
% 7.11/2.14 % (7799)Termination reason: Unknown
% 7.11/2.14 % (7799)Termination phase: Saturation
% 7.11/2.14
% 7.11/2.14 % (7799)Memory used [KB]: 5756
% 7.11/2.14 % (7799)Time elapsed: 0.020 s
% 7.11/2.14 % (7799)Instructions burned: 31 (million)
% 7.11/2.14 % (7799)------------------------------
% 7.11/2.14 % (7799)------------------------------
% 7.11/2.15 % (7801)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_7597 for (2991ds/258Mi)
% 7.11/2.16 % (7802)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_7597 for (2991ds/26Mi)
% 7.11/2.16 % (7802)Refutation not found, incomplete strategy
% 7.11/2.16 % (7802)------------------------------
% 7.11/2.16 % (7802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.16 % (7802)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.16
% 7.11/2.16
% 7.11/2.16 % (7802)Memory used [KB]: 5500
% 7.11/2.16 % (7802)Time elapsed: 0.002 s
% 7.11/2.16 % (7802)Instructions burned: 3 (million)
% 7.11/2.16 % (7802)------------------------------
% 7.11/2.16 % (7802)------------------------------
% 7.11/2.17 % (7803)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_7597 for (2991ds/995Mi)
% 7.11/2.18 % (7803)Refutation not found, incomplete strategy
% 7.11/2.18 % (7803)------------------------------
% 7.11/2.18 % (7803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.18 % (7803)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.18
% 7.11/2.18
% 7.11/2.18 % (7803)Memory used [KB]: 5628
% 7.11/2.18 % (7803)Time elapsed: 0.013 s
% 7.11/2.18 % (7803)Instructions burned: 35 (million)
% 7.11/2.18 % (7803)------------------------------
% 7.11/2.18 % (7803)------------------------------
% 7.11/2.18 % (7786)Instruction limit reached!
% 7.11/2.18 % (7786)------------------------------
% 7.11/2.18 % (7786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.18 % (7786)Termination reason: Unknown
% 7.11/2.18 % (7786)Termination phase: Saturation
% 7.11/2.18
% 7.11/2.18 % (7786)Memory used [KB]: 6908
% 7.11/2.18 % (7786)Time elapsed: 0.309 s
% 7.11/2.18 % (7786)Instructions burned: 1023 (million)
% 7.11/2.18 % (7786)------------------------------
% 7.11/2.18 % (7786)------------------------------
% 7.11/2.19 % (7804)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_7597 for (2991ds/373Mi)
% 7.11/2.19 % (7805)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_7597 for (2991ds/253Mi)
% 7.11/2.20 % (7805)Refutation not found, incomplete strategy
% 7.11/2.20 % (7805)------------------------------
% 7.11/2.20 % (7805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.20 % (7805)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.20
% 7.11/2.20
% 7.11/2.20 % (7805)Memory used [KB]: 5500
% 7.11/2.20 % (7805)Time elapsed: 0.005 s
% 7.11/2.20 % (7805)Instructions burned: 12 (million)
% 7.11/2.20 % (7805)------------------------------
% 7.11/2.20 % (7805)------------------------------
% 7.54/2.21 % (7806)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_7597 for (2990ds/832Mi)
% 7.54/2.21 % (7806)Refutation not found, incomplete strategy
% 7.54/2.21 % (7806)------------------------------
% 7.54/2.21 % (7806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.21 % (7806)Termination reason: Refutation not found, incomplete strategy
% 7.54/2.21
% 7.54/2.21
% 7.54/2.21 % (7806)Memory used [KB]: 5500
% 7.54/2.21 % (7806)Time elapsed: 0.003 s
% 7.54/2.21 % (7806)Instructions burned: 5 (million)
% 7.54/2.21 % (7806)------------------------------
% 7.54/2.21 % (7806)------------------------------
% 7.54/2.22 % (7807)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_7597 for (2990ds/668Mi)
% 7.54/2.22 % (7800)Instruction limit reached!
% 7.54/2.22 % (7800)------------------------------
% 7.54/2.22 % (7800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.22 % (7800)Termination reason: Unknown
% 7.54/2.22 % (7800)Termination phase: Saturation
% 7.54/2.22
% 7.54/2.22 % (7800)Memory used [KB]: 6268
% 7.54/2.22 % (7800)Time elapsed: 0.083 s
% 7.54/2.22 % (7800)Instructions burned: 282 (million)
% 7.54/2.22 % (7800)------------------------------
% 7.54/2.22 % (7800)------------------------------
% 7.54/2.23 % (7808)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=40:si=on:rtra=on_0 on DTF2THF_7597 for (2990ds/40Mi)
% 7.54/2.23 % (7808)Refutation not found, incomplete strategy
% 7.54/2.23 % (7808)------------------------------
% 7.54/2.23 % (7808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.23 % (7808)Termination reason: Refutation not found, incomplete strategy
% 7.54/2.23
% 7.54/2.23
% 7.54/2.23 % (7808)Memory used [KB]: 5500
% 7.54/2.23 % (7808)Time elapsed: 0.003 s
% 7.54/2.23 % (7808)Instructions burned: 6 (million)
% 7.54/2.23 % (7808)------------------------------
% 7.54/2.23 % (7808)------------------------------
% 7.54/2.24 % (7809)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_7597 for (2990ds/294Mi)
% 7.54/2.28 % (7801)Instruction limit reached!
% 7.54/2.28 % (7801)------------------------------
% 7.54/2.28 % (7801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.28 % (7801)Termination reason: Unknown
% 7.54/2.28 % (7801)Termination phase: Saturation
% 7.54/2.28
% 7.54/2.28 % (7801)Memory used [KB]: 6524
% 7.54/2.28 % (7801)Time elapsed: 0.131 s
% 7.54/2.28 % (7801)Instructions burned: 259 (million)
% 7.54/2.28 % (7801)------------------------------
% 7.54/2.28 % (7801)------------------------------
% 7.54/2.29 % (7810)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_7597 for (2990ds/187Mi)
% 7.54/2.29 % (7804)Instruction limit reached!
% 7.54/2.29 % (7804)------------------------------
% 7.54/2.29 % (7804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.54/2.29 % (7804)Termination reason: Unknown
% 7.54/2.29 % (7804)Termination phase: Saturation
% 7.54/2.29
% 7.54/2.29 % (7804)Memory used [KB]: 6780
% 7.54/2.29 % (7804)Time elapsed: 0.106 s
% 7.54/2.29 % (7804)Instructions burned: 373 (million)
% 7.54/2.29 % (7804)------------------------------
% 7.54/2.29 % (7804)------------------------------
% 8.12/2.30 % (7812)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_7597 for (2989ds/371Mi)
% 8.12/2.31 % (7809)Instruction limit reached!
% 8.12/2.31 % (7809)------------------------------
% 8.12/2.31 % (7809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.31 % (7809)Termination reason: Unknown
% 8.12/2.31 % (7809)Termination phase: Saturation
% 8.12/2.31
% 8.12/2.31 % (7809)Memory used [KB]: 6140
% 8.12/2.31 % (7809)Time elapsed: 0.076 s
% 8.12/2.31 % (7809)Instructions burned: 295 (million)
% 8.12/2.31 % (7809)------------------------------
% 8.12/2.31 % (7809)------------------------------
% 8.12/2.32 % (7813)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_7597 for (2989ds/1827Mi)
% 8.12/2.34 % (7810)Instruction limit reached!
% 8.12/2.34 % (7810)------------------------------
% 8.12/2.34 % (7810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.34 % (7810)Termination reason: Unknown
% 8.12/2.34 % (7810)Termination phase: Saturation
% 8.12/2.34
% 8.12/2.34 % (7810)Memory used [KB]: 8187
% 8.12/2.34 % (7810)Time elapsed: 0.053 s
% 8.12/2.34 % (7810)Instructions burned: 189 (million)
% 8.12/2.34 % (7810)------------------------------
% 8.12/2.34 % (7810)------------------------------
% 8.12/2.35 % (7813)Refutation not found, incomplete strategy
% 8.12/2.35 % (7813)------------------------------
% 8.12/2.35 % (7813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.35 % (7813)Termination reason: Refutation not found, incomplete strategy
% 8.12/2.35
% 8.12/2.35
% 8.12/2.35 % (7813)Memory used [KB]: 5884
% 8.12/2.35 % (7813)Time elapsed: 0.024 s
% 8.12/2.35 % (7813)Instructions burned: 73 (million)
% 8.12/2.35 % (7813)------------------------------
% 8.12/2.35 % (7813)------------------------------
% 8.12/2.35 % (7814)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_7597 for (2989ds/70Mi)
% 8.12/2.36 % (7815)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_7597 for (2989ds/316Mi)
% 8.12/2.37 % (7814)Instruction limit reached!
% 8.12/2.37 % (7814)------------------------------
% 8.12/2.37 % (7814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.37 % (7814)Termination reason: Unknown
% 8.12/2.37 % (7814)Termination phase: Saturation
% 8.12/2.37
% 8.12/2.37 % (7814)Memory used [KB]: 1151
% 8.12/2.37 % (7814)Time elapsed: 0.022 s
% 8.12/2.37 % (7814)Instructions burned: 73 (million)
% 8.12/2.37 % (7814)------------------------------
% 8.12/2.37 % (7814)------------------------------
% 8.12/2.38 % (7816)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_7597 for (2989ds/932Mi)
% 8.12/2.38 % (7792)Instruction limit reached!
% 8.12/2.38 % (7792)------------------------------
% 8.12/2.38 % (7792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.12/2.38 % (7792)Termination reason: Unknown
% 8.12/2.38 % (7792)Termination phase: Saturation
% 8.12/2.38
% 8.12/2.38 % (7792)Memory used [KB]: 7675
% 8.12/2.38 % (7792)Time elapsed: 0.433 s
% 8.12/2.39 % (7792)Instructions burned: 1541 (million)
% 8.12/2.39 % (7792)------------------------------
% 8.12/2.39 % (7792)------------------------------
% 8.12/2.39 % (7817)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_7597 for (2989ds/4714Mi)
% 8.52/2.41 % (7817)Refutation not found, incomplete strategy
% 8.52/2.41 % (7817)------------------------------
% 8.52/2.41 % (7817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.52/2.41 % (7807)Instruction limit reached!
% 8.52/2.41 % (7807)------------------------------
% 8.52/2.41 % (7807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.52/2.41 % (7807)Termination reason: Unknown
% 8.52/2.41 % (7807)Termination phase: Saturation
% 8.52/2.41
% 8.52/2.41 % (7807)Memory used [KB]: 11257
% 8.52/2.41 % (7807)Time elapsed: 0.190 s
% 8.52/2.41 % (7807)Instructions burned: 670 (million)
% 8.52/2.41 % (7807)------------------------------
% 8.52/2.41 % (7807)------------------------------
% 8.52/2.41 % (7817)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.41
% 8.52/2.41
% 8.52/2.41 % (7817)Memory used [KB]: 5628
% 8.52/2.41 % (7817)Time elapsed: 0.012 s
% 8.52/2.41 % (7817)Instructions burned: 30 (million)
% 8.52/2.41 % (7817)------------------------------
% 8.52/2.41 % (7817)------------------------------
% 8.52/2.42 % (7819)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_7597 for (2988ds/770Mi)
% 8.52/2.42 % (7818)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_7597 for (2988ds/8250Mi)
% 8.52/2.42 % (7819)Refutation not found, incomplete strategy
% 8.52/2.42 % (7819)------------------------------
% 8.52/2.42 % (7819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.52/2.42 % (7819)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.42
% 8.52/2.42
% 8.52/2.42 % (7819)Memory used [KB]: 5628
% 8.52/2.42 % (7819)Time elapsed: 0.003 s
% 8.52/2.42 % (7819)Instructions burned: 5 (million)
% 8.52/2.42 % (7819)------------------------------
% 8.52/2.42 % (7819)------------------------------
% 8.52/2.43 % (7820)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_7597 for (2988ds/794Mi)
% 8.52/2.44 % (7815)Instruction limit reached!
% 8.52/2.44 % (7815)------------------------------
% 8.52/2.44 % (7815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.52/2.44 % (7815)Termination reason: Unknown
% 8.52/2.44 % (7815)Termination phase: Saturation
% 8.52/2.44
% 8.52/2.44 % (7815)Memory used [KB]: 6652
% 8.52/2.44 % (7815)Time elapsed: 0.086 s
% 8.52/2.44 % (7815)Instructions burned: 318 (million)
% 8.52/2.44 % (7815)------------------------------
% 8.52/2.44 % (7815)------------------------------
% 8.52/2.45 % (7821)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_7597 for (2988ds/464Mi)
% 8.52/2.47 % (7812)Refutation not found, incomplete strategy
% 8.52/2.47 % (7812)------------------------------
% 8.52/2.47 % (7812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.52/2.47 % (7812)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.47
% 8.52/2.47
% 8.52/2.47 % (7812)Memory used [KB]: 6396
% 8.52/2.47 % (7812)Time elapsed: 0.163 s
% 8.52/2.47 % (7812)Instructions burned: 297 (million)
% 8.52/2.47 % (7812)------------------------------
% 8.52/2.47 % (7812)------------------------------
% 8.52/2.47 % (7818)Refutation not found, incomplete strategy
% 8.52/2.47 % (7818)------------------------------
% 8.52/2.47 % (7818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.52/2.47 % (7818)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.47
% 8.52/2.47
% 8.52/2.47 % (7818)Memory used [KB]: 6268
% 8.52/2.47 % (7818)Time elapsed: 0.057 s
% 8.52/2.47 % (7818)Instructions burned: 184 (million)
% 8.52/2.47 % (7818)------------------------------
% 8.52/2.47 % (7818)------------------------------
% 8.52/2.48 % (7823)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_7597 for (2988ds/906Mi)
% 8.52/2.49 % (7822)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_7597 for (2988ds/1376Mi)
% 8.52/2.49 % (7822)Refutation not found, incomplete strategy
% 8.52/2.49 % (7822)------------------------------
% 8.52/2.49 % (7822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.52/2.49 % (7822)Termination reason: Refutation not found, incomplete strategy
% 8.52/2.49
% 8.52/2.49
% 8.52/2.49 % (7822)Memory used [KB]: 5500
% 8.52/2.49 % (7822)Time elapsed: 0.005 s
% 8.52/2.49 % (7822)Instructions burned: 5 (million)
% 8.52/2.49 % (7822)------------------------------
% 8.52/2.49 % (7822)------------------------------
% 9.22/2.51 % (7824)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_7597 for (2988ds/434Mi)
% 9.22/2.51 % (7821)Refutation not found, incomplete strategy
% 9.22/2.51 % (7821)------------------------------
% 9.22/2.51 % (7821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.22/2.51 % (7821)Termination reason: Refutation not found, incomplete strategy
% 9.22/2.51
% 9.22/2.51
% 9.22/2.51 % (7821)Memory used [KB]: 6140
% 9.22/2.51 % (7821)Time elapsed: 0.057 s
% 9.22/2.51 % (7821)Instructions burned: 185 (million)
% 9.22/2.51 % (7821)------------------------------
% 9.22/2.51 % (7821)------------------------------
% 9.22/2.52 % (7825)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_7597 for (2987ds/865Mi)
% 9.22/2.59 % (7791)Refutation not found, incomplete strategy
% 9.22/2.59 % (7791)------------------------------
% 9.22/2.59 % (7791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.22/2.59 % (7791)Termination reason: Refutation not found, incomplete strategy
% 9.22/2.59
% 9.22/2.59
% 9.22/2.59 % (7791)Memory used [KB]: 7675
% 9.22/2.59 % (7791)Time elapsed: 0.641 s
% 9.22/2.59 % (7791)Instructions burned: 1614 (million)
% 9.22/2.59 % (7791)------------------------------
% 9.22/2.59 % (7791)------------------------------
% 9.40/2.60 % (7826)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_7597 for (2987ds/593Mi)
% 9.40/2.61 % (7826)Refutation not found, incomplete strategy
% 9.40/2.61 % (7826)------------------------------
% 9.40/2.61 % (7826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.40/2.61 % (7826)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.61
% 9.40/2.61
% 9.40/2.61 % (7826)Memory used [KB]: 5628
% 9.40/2.61 % (7826)Time elapsed: 0.006 s
% 9.40/2.61 % (7826)Instructions burned: 15 (million)
% 9.40/2.61 % (7826)------------------------------
% 9.40/2.61 % (7826)------------------------------
% 9.40/2.62 % (7827)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_7597 for (2986ds/443Mi)
% 9.40/2.64 % (7820)Instruction limit reached!
% 9.40/2.64 % (7820)------------------------------
% 9.40/2.64 % (7820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.40/2.65 % (7820)Termination reason: Unknown
% 9.40/2.65 % (7820)Termination phase: Saturation
% 9.40/2.65
% 9.40/2.65 % (7820)Memory used [KB]: 2814
% 9.40/2.65 % (7820)Time elapsed: 0.218 s
% 9.40/2.65 % (7820)Instructions burned: 794 (million)
% 9.40/2.65 % (7820)------------------------------
% 9.40/2.65 % (7820)------------------------------
% 9.40/2.66 % (7828)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_7597 for (2986ds/594Mi)
% 9.40/2.66 % (7816)Instruction limit reached!
% 9.40/2.66 % (7816)------------------------------
% 9.40/2.66 % (7816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.40/2.66 % (7816)Termination reason: Unknown
% 9.40/2.66 % (7816)Termination phase: Saturation
% 9.40/2.66
% 9.40/2.66 % (7816)Memory used [KB]: 6908
% 9.40/2.66 % (7816)Time elapsed: 0.283 s
% 9.40/2.66 % (7816)Instructions burned: 933 (million)
% 9.40/2.66 % (7816)------------------------------
% 9.40/2.66 % (7816)------------------------------
% 9.40/2.67 % (7829)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_7597 for (2986ds/327Mi)
% 9.93/2.72 % (7824)Instruction limit reached!
% 9.93/2.72 % (7824)------------------------------
% 9.93/2.72 % (7824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.72 % (7824)Termination reason: Unknown
% 9.93/2.72 % (7824)Termination phase: Saturation
% 9.93/2.72
% 9.93/2.72 % (7824)Memory used [KB]: 6652
% 9.93/2.72 % (7824)Time elapsed: 0.219 s
% 9.93/2.72 % (7824)Instructions burned: 434 (million)
% 9.93/2.72 % (7824)------------------------------
% 9.93/2.72 % (7824)------------------------------
% 9.93/2.74 % (7827)Instruction limit reached!
% 9.93/2.74 % (7827)------------------------------
% 9.93/2.74 % (7827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.74 % (7827)Termination reason: Unknown
% 9.93/2.74 % (7827)Termination phase: Saturation
% 9.93/2.74
% 9.93/2.74 % (7827)Memory used [KB]: 6780
% 9.93/2.74 % (7827)Time elapsed: 0.123 s
% 9.93/2.74 % (7827)Instructions burned: 445 (million)
% 9.93/2.74 % (7827)------------------------------
% 9.93/2.74 % (7827)------------------------------
% 9.93/2.74 % (7823)Instruction limit reached!
% 9.93/2.74 % (7823)------------------------------
% 9.93/2.74 % (7823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.74 % (7823)Termination reason: Unknown
% 9.93/2.74 % (7823)Termination phase: Saturation
% 9.93/2.74
% 9.93/2.74 % (7823)Memory used [KB]: 9338
% 9.93/2.74 % (7823)Time elapsed: 0.262 s
% 9.93/2.74 % (7823)Instructions burned: 907 (million)
% 9.93/2.74 % (7823)------------------------------
% 9.93/2.74 % (7823)------------------------------
% 9.93/2.74 % (7830)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_7597 for (2985ds/5411Mi)
% 9.93/2.75 % (7830)Refutation not found, incomplete strategy
% 9.93/2.75 % (7830)------------------------------
% 9.93/2.75 % (7830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.75 % (7830)Termination reason: Refutation not found, incomplete strategy
% 9.93/2.75
% 9.93/2.75
% 9.93/2.75 % (7830)Memory used [KB]: 5500
% 9.93/2.75 % (7830)Time elapsed: 0.005 s
% 9.93/2.75 % (7830)Instructions burned: 4 (million)
% 9.93/2.75 % (7830)------------------------------
% 9.93/2.75 % (7830)------------------------------
% 9.93/2.75 % (7825)Instruction limit reached!
% 9.93/2.75 % (7825)------------------------------
% 9.93/2.75 % (7825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.75 % (7825)Termination reason: Unknown
% 9.93/2.75 % (7825)Termination phase: Saturation
% 9.93/2.75
% 9.93/2.75 % (7825)Memory used [KB]: 11001
% 9.93/2.75 % (7825)Time elapsed: 0.230 s
% 9.93/2.75 % (7825)Instructions burned: 867 (million)
% 9.93/2.75 % (7825)------------------------------
% 9.93/2.75 % (7825)------------------------------
% 9.93/2.75 % (7831)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_7597 for (2985ds/1762Mi)
% 9.93/2.75 % (7832)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_7597 for (2985ds/96Mi)
% 9.93/2.76 % (7829)Instruction limit reached!
% 9.93/2.76 % (7829)------------------------------
% 9.93/2.76 % (7829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.76 % (7829)Termination reason: Unknown
% 9.93/2.76 % (7829)Termination phase: Saturation
% 9.93/2.76
% 9.93/2.76 % (7829)Memory used [KB]: 9850
% 9.93/2.76 % (7829)Time elapsed: 0.085 s
% 9.93/2.76 % (7829)Instructions burned: 327 (million)
% 9.93/2.76 % (7829)------------------------------
% 9.93/2.76 % (7829)------------------------------
% 9.93/2.76 % (7834)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_7597 for (2985ds/90Mi)
% 9.93/2.77 % (7835)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_7597 for (2985ds/593Mi)
% 9.93/2.77 % (7833)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_7597 for (2985ds/503Mi)
% 9.93/2.77 % (7833)Refutation not found, incomplete strategy
% 9.93/2.77 % (7833)------------------------------
% 9.93/2.77 % (7833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.77 % (7833)Termination reason: Refutation not found, incomplete strategy
% 9.93/2.77
% 9.93/2.77
% 9.93/2.77 % (7833)Memory used [KB]: 5500
% 9.93/2.77 % (7833)Time elapsed: 0.005 s
% 9.93/2.77 % (7833)Instructions burned: 6 (million)
% 9.93/2.77 % (7833)------------------------------
% 9.93/2.77 % (7833)------------------------------
% 9.93/2.78 % (7832)Instruction limit reached!
% 9.93/2.78 % (7832)------------------------------
% 9.93/2.78 % (7832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.78 % (7832)Termination reason: Unknown
% 9.93/2.78 % (7832)Termination phase: Saturation
% 9.93/2.78
% 9.93/2.78 % (7832)Memory used [KB]: 5884
% 9.93/2.78 % (7832)Time elapsed: 0.030 s
% 9.93/2.78 % (7832)Instructions burned: 96 (million)
% 9.93/2.78 % (7832)------------------------------
% 9.93/2.78 % (7832)------------------------------
% 9.93/2.78 % (7834)Instruction limit reached!
% 9.93/2.78 % (7834)------------------------------
% 9.93/2.78 % (7834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.78 % (7834)Termination reason: Unknown
% 9.93/2.78 % (7834)Termination phase: Saturation
% 9.93/2.78
% 9.93/2.78 % (7834)Memory used [KB]: 5884
% 9.93/2.78 % (7834)Time elapsed: 0.027 s
% 9.93/2.78 % (7834)Instructions burned: 91 (million)
% 9.93/2.78 % (7834)------------------------------
% 9.93/2.78 % (7834)------------------------------
% 9.93/2.79 % (7836)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_7597 for (2985ds/1512Mi)
% 9.93/2.79 % (7837)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_7597 for (2985ds/569Mi)
% 9.93/2.79 % (7837)Refutation not found, incomplete strategy
% 9.93/2.79 % (7837)------------------------------
% 9.93/2.79 % (7837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.79 % (7837)Termination reason: Refutation not found, incomplete strategy
% 9.93/2.79
% 9.93/2.79
% 9.93/2.79 % (7837)Memory used [KB]: 5500
% 9.93/2.79 % (7837)Time elapsed: 0.002 s
% 9.93/2.79 % (7837)Instructions burned: 3 (million)
% 9.93/2.79 % (7837)------------------------------
% 9.93/2.79 % (7837)------------------------------
% 9.93/2.79 % (7836)Refutation not found, incomplete strategy
% 9.93/2.79 % (7836)------------------------------
% 9.93/2.79 % (7836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.93/2.79 % (7836)Termination reason: Refutation not found, incomplete strategy
% 9.93/2.79
% 9.93/2.79
% 9.93/2.79 % (7836)Memory used [KB]: 5500
% 9.93/2.79 % (7836)Time elapsed: 0.005 s
% 9.93/2.79 % (7836)Instructions burned: 6 (million)
% 9.93/2.79 % (7836)------------------------------
% 9.93/2.79 % (7836)------------------------------
% 9.93/2.79 % (7838)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_7597 for (2985ds/501Mi)
% 11.05/2.80 % (7839)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_7597 for (2984ds/562Mi)
% 11.05/2.80 % (7838)Refutation not found, incomplete strategy
% 11.05/2.80 % (7838)------------------------------
% 11.05/2.80 % (7838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.05/2.80 % (7838)Termination reason: Refutation not found, incomplete strategy
% 11.05/2.80
% 11.05/2.80
% 11.05/2.80 % (7838)Memory used [KB]: 5628
% 11.05/2.80 % (7838)Time elapsed: 0.010 s
% 11.05/2.80 % (7838)Instructions burned: 33 (million)
% 11.05/2.80 % (7838)------------------------------
% 11.05/2.80 % (7838)------------------------------
% 11.05/2.81 % (7840)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_7597 for (2984ds/406Mi)
% 11.05/2.81 % (7828)Instruction limit reached!
% 11.05/2.81 % (7828)------------------------------
% 11.05/2.81 % (7828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.05/2.81 % (7828)Termination reason: Unknown
% 11.05/2.81 % (7828)Termination phase: Saturation
% 11.05/2.81
% 11.05/2.81 % (7828)Memory used [KB]: 6652
% 11.05/2.81 % (7828)Time elapsed: 0.159 s
% 11.05/2.81 % (7828)Instructions burned: 596 (million)
% 11.05/2.81 % (7828)------------------------------
% 11.05/2.81 % (7828)------------------------------
% 11.05/2.81 % (7841)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_7597 for (2984ds/582Mi)
% 11.05/2.82 % (7841)Refutation not found, incomplete strategy
% 11.05/2.82 % (7841)------------------------------
% 11.05/2.82 % (7841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.05/2.82 % (7841)Termination reason: Refutation not found, incomplete strategy
% 11.05/2.82
% 11.05/2.82
% 11.05/2.82 % (7841)Memory used [KB]: 5628
% 11.05/2.82 % (7841)Time elapsed: 0.008 s
% 11.05/2.82 % (7841)Instructions burned: 22 (million)
% 11.05/2.82 % (7841)------------------------------
% 11.05/2.82 % (7841)------------------------------
% 11.05/2.82 % (7842)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_7597 for (2984ds/456Mi)
% 11.05/2.83 % (7831)Refutation not found, incomplete strategy
% 11.05/2.83 % (7831)------------------------------
% 11.05/2.83 % (7831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.05/2.83 % (7831)Termination reason: Refutation not found, incomplete strategy
% 11.05/2.83
% 11.05/2.83
% 11.05/2.83 % (7831)Memory used [KB]: 6012
% 11.05/2.83 % (7831)Time elapsed: 0.077 s
% 11.05/2.83 % (7831)Instructions burned: 262 (million)
% 11.05/2.83 % (7831)------------------------------
% 11.05/2.83 % (7831)------------------------------
% 11.05/2.83 % (7843)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_7597 for (2984ds/393Mi)
% 11.05/2.83 % (7842)Refutation not found, incomplete strategy
% 11.05/2.83 % (7842)------------------------------
% 11.05/2.83 % (7842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.05/2.83 % (7842)Termination reason: Refutation not found, incomplete strategy
% 11.05/2.83
% 11.05/2.83
% 11.05/2.83 % (7842)Memory used [KB]: 5628
% 11.05/2.83 % (7842)Time elapsed: 0.011 s
% 11.05/2.83 % (7842)Instructions burned: 29 (million)
% 11.05/2.83 % (7842)------------------------------
% 11.05/2.83 % (7842)------------------------------
% 11.05/2.84 % (7844)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_7597 for (2984ds/1335Mi)
% 11.05/2.84 % (7845)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_7597 for (2984ds/3373Mi)
% 11.05/2.85 % (7843)Refutation not found, incomplete strategy
% 11.05/2.85 % (7843)------------------------------
% 11.05/2.85 % (7843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.05/2.85 % (7843)Termination reason: Refutation not found, incomplete strategy
% 11.05/2.85
% 11.05/2.85
% 11.05/2.85 % (7843)Memory used [KB]: 5756
% 11.05/2.85 % (7843)Time elapsed: 0.020 s
% 11.05/2.85 % (7843)Instructions burned: 59 (million)
% 11.05/2.85 % (7843)------------------------------
% 11.05/2.85 % (7843)------------------------------
% 11.05/2.86 % (7846)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_7597 for (2984ds/474Mi)
% 11.05/2.87 % (7844)Refutation not found, incomplete strategy
% 11.05/2.87 % (7844)------------------------------
% 11.05/2.87 % (7844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.05/2.87 % (7844)Termination reason: Refutation not found, incomplete strategy
% 11.05/2.87
% 11.05/2.87
% 11.05/2.87 % (7844)Memory used [KB]: 6012
% 11.05/2.87 % (7844)Time elapsed: 0.029 s
% 11.05/2.87 % (7844)Instructions burned: 94 (million)
% 11.05/2.87 % (7844)------------------------------
% 11.05/2.87 % (7844)------------------------------
% 11.05/2.88 % (7847)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_7597 for (2984ds/157Mi)
% 11.05/2.88 % (7846)Refutation not found, incomplete strategy
% 11.05/2.88 % (7846)------------------------------
% 11.05/2.88 % (7846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.05/2.88 % (7846)Termination reason: Refutation not found, incomplete strategy
% 11.05/2.88
% 11.05/2.88
% 11.05/2.88 % (7846)Memory used [KB]: 5756
% 11.05/2.88 % (7846)Time elapsed: 0.025 s
% 11.05/2.88 % (7846)Instructions burned: 78 (million)
% 11.05/2.88 % (7846)------------------------------
% 11.05/2.88 % (7846)------------------------------
% 11.05/2.89 % (7840)Refutation not found, incomplete strategy
% 11.05/2.89 % (7840)------------------------------
% 11.05/2.89 % (7840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.05/2.89 % (7840)Termination reason: Refutation not found, incomplete strategy
% 11.05/2.89
% 11.05/2.89
% 11.05/2.89 % (7840)Memory used [KB]: 6268
% 11.05/2.89 % (7840)Time elapsed: 0.082 s
% 11.05/2.89 % (7840)Instructions burned: 151 (million)
% 11.05/2.89 % (7840)------------------------------
% 11.05/2.89 % (7840)------------------------------
% 11.05/2.89 % (7848)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_7597 for (2984ds/590Mi)
% 11.56/2.90 % (7849)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_7597 for (2983ds/104Mi)
% 11.56/2.92 % (7847)Instruction limit reached!
% 11.56/2.92 % (7847)------------------------------
% 11.56/2.92 % (7847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.56/2.92 % (7847)Termination reason: Unknown
% 11.56/2.92 % (7847)Termination phase: Saturation
% 11.56/2.92
% 11.56/2.92 % (7847)Memory used [KB]: 6012
% 11.56/2.92 % (7847)Time elapsed: 0.046 s
% 11.56/2.92 % (7847)Instructions burned: 157 (million)
% 11.56/2.92 % (7847)------------------------------
% 11.56/2.92 % (7847)------------------------------
% 11.56/2.93 % (7850)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_7597 for (2983ds/414Mi)
% 11.56/2.93 % (7849)Instruction limit reached!
% 11.56/2.93 % (7849)------------------------------
% 11.56/2.93 % (7849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.56/2.93 % (7849)Termination reason: Unknown
% 11.56/2.93 % (7849)Termination phase: Saturation
% 11.56/2.93
% 11.56/2.93 % (7849)Memory used [KB]: 5884
% 11.56/2.93 % (7849)Time elapsed: 0.031 s
% 11.56/2.93 % (7849)Instructions burned: 104 (million)
% 11.56/2.93 % (7849)------------------------------
% 11.56/2.93 % (7849)------------------------------
% 11.56/2.93 % (7835)Instruction limit reached!
% 11.56/2.93 % (7835)------------------------------
% 11.56/2.93 % (7835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.56/2.93 % (7835)Termination reason: Unknown
% 11.56/2.93 % (7835)Termination phase: Saturation
% 11.56/2.93
% 11.56/2.93 % (7835)Memory used [KB]: 7675
% 11.56/2.93 % (7835)Time elapsed: 0.170 s
% 11.56/2.93 % (7835)Instructions burned: 595 (million)
% 11.56/2.93 % (7835)------------------------------
% 11.56/2.93 % (7835)------------------------------
% 11.56/2.94 % (7850)Refutation not found, incomplete strategy
% 11.56/2.94 % (7850)------------------------------
% 11.56/2.94 % (7850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.56/2.94 % (7850)Termination reason: Refutation not found, incomplete strategy
% 11.56/2.94
% 11.56/2.94
% 11.56/2.94 % (7850)Memory used [KB]: 5628
% 11.56/2.94 % (7850)Time elapsed: 0.010 s
% 11.56/2.94 % (7850)Instructions burned: 29 (million)
% 11.56/2.94 % (7850)------------------------------
% 11.56/2.94 % (7850)------------------------------
% 11.56/2.94 % (7851)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_7597 for (2983ds/715Mi)
% 11.56/2.94 % (7852)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_7597 for (2983ds/961Mi)
% 11.56/2.95 % (7853)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_7597 for (2983ds/1213Mi)
% 13.54/3.03 % (7839)Instruction limit reached!
% 13.54/3.03 % (7839)------------------------------
% 13.54/3.03 % (7839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.54/3.03 % (7839)Termination reason: Unknown
% 13.54/3.03 % (7839)Termination phase: Saturation
% 13.54/3.03
% 13.54/3.03 % (7839)Memory used [KB]: 7291
% 13.54/3.03 % (7839)Time elapsed: 0.229 s
% 13.54/3.03 % (7839)Instructions burned: 563 (million)
% 13.54/3.03 % (7839)------------------------------
% 13.54/3.03 % (7839)------------------------------
% 13.54/3.04 % (7854)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_7597 for (2982ds/1979Mi)
% 13.54/3.04 % (7845)Refutation not found, incomplete strategy
% 13.54/3.04 % (7845)------------------------------
% 13.54/3.04 % (7845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.54/3.04 % (7845)Termination reason: Refutation not found, incomplete strategy
% 13.54/3.04
% 13.54/3.04
% 13.54/3.04 % (7845)Memory used [KB]: 6908
% 13.54/3.04 % (7845)Time elapsed: 0.198 s
% 13.54/3.04 % (7845)Instructions burned: 580 (million)
% 13.54/3.04 % (7845)------------------------------
% 13.54/3.04 % (7845)------------------------------
% 13.54/3.05 % (7848)Instruction limit reached!
% 13.54/3.05 % (7848)------------------------------
% 13.54/3.05 % (7848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.54/3.05 % (7848)Termination reason: Unknown
% 13.54/3.05 % (7848)Termination phase: Saturation
% 13.54/3.05
% 13.54/3.05 % (7848)Memory used [KB]: 6780
% 13.54/3.05 % (7848)Time elapsed: 0.162 s
% 13.54/3.05 % (7848)Instructions burned: 592 (million)
% 13.54/3.05 % (7848)------------------------------
% 13.54/3.05 % (7848)------------------------------
% 13.54/3.06 % (7855)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_7597 for (2982ds/481Mi)
% 13.54/3.06 % (7856)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_7597 for (2982ds/783Mi)
% 14.05/3.12 % (7855)Refutation not found, incomplete strategy
% 14.05/3.12 % (7855)------------------------------
% 14.05/3.12 % (7855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.05/3.12 % (7855)Termination reason: Refutation not found, incomplete strategy
% 14.05/3.12
% 14.05/3.12
% 14.05/3.12 % (7855)Memory used [KB]: 5756
% 14.05/3.12 % (7855)Time elapsed: 0.055 s
% 14.05/3.12 % (7855)Instructions burned: 93 (million)
% 14.05/3.12 % (7855)------------------------------
% 14.05/3.12 % (7855)------------------------------
% 14.05/3.13 % (7857)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_7597 for (2981ds/432Mi)
% 14.05/3.15 % (7851)First to succeed.
% 14.05/3.15 % (7851)Refutation found. Thanks to Tanya!
% 14.05/3.15 % SZS status Theorem for DTF2THF_7597
% 14.05/3.15 % SZS output start Proof for DTF2THF_7597
% 14.05/3.15 thf(type_def_5, type, a: $tType).
% 14.05/3.15 thf(func_def_0, type, a: $tType).
% 14.05/3.15 thf(func_def_7, type, sK0: a > a > a > a > $o).
% 14.05/3.15 thf(func_def_8, type, sK1: a).
% 14.05/3.15 thf(func_def_9, type, sK2: a).
% 14.05/3.15 thf(func_def_10, type, sK3: a).
% 14.05/3.15 thf(func_def_11, type, sK4: a).
% 14.05/3.15 thf(func_def_12, type, sK5: (a > a > a) > a).
% 14.05/3.15 thf(func_def_13, type, sK6: (a > a > a) > a).
% 14.05/3.15 thf(func_def_14, type, ph7: !>[X0: $tType]:(X0)).
% 14.05/3.15 thf(func_def_15, type, sK8: a > a > a).
% 14.05/3.15 thf(func_def_16, type, sK9: a > a > a).
% 14.05/3.15 thf(func_def_19, type, sK10: a > a > a).
% 14.05/3.15 thf(func_def_20, type, sK11: a > a > a).
% 14.05/3.15 thf(func_def_21, type, sK12: a > a > a).
% 14.05/3.15 thf(f1027,plain,(
% 14.05/3.15 $false),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f1025,f765])).
% 14.05/3.15 thf(f765,plain,(
% 14.05/3.15 (sK5 != sK6)),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f483,f757])).
% 14.05/3.15 thf(f757,plain,(
% 14.05/3.15 (sK2 = sK3)),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f756])).
% 14.05/3.15 thf(f756,plain,(
% 14.05/3.15 (sK2 = sK3) | (sK2 != sK2)),
% 14.05/3.15 inference(beta_eta_normalization,[status(thm)],[f751])).
% 14.05/3.15 thf(f751,plain,(
% 14.05/3.15 (sK2 != ((^[Y0 : a]: ((^[Y1 : a]: (Y0)))) @ sK2 @ sK1)) | (sK2 = sK3)),
% 14.05/3.15 inference(equality_factoring,[status(thm)],[f737])).
% 14.05/3.15 thf(f737,plain,(
% 14.05/3.15 ( ! [X1 : a > a > a] : (((X1 @ sK3 @ sK4) = (X1 @ sK2 @ sK1)) | (sK2 = sK3)) )),
% 14.05/3.15 inference(beta_eta_normalization,[status(thm)],[f736])).
% 14.05/3.15 thf(f736,plain,(
% 14.05/3.15 ( ! [X1 : a > a > a] : ((sK2 = sK3) | (((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) @ X1) = ((^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1)) @ X1))) )),
% 14.05/3.15 inference(argument_congruence,[status(thm)],[f459])).
% 14.05/3.15 thf(f459,plain,(
% 14.05/3.15 ((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) = (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1))) | (sK2 = sK3)),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f456])).
% 14.05/3.15 thf(f456,plain,(
% 14.05/3.15 ($true != $true) | (sK2 = sK3) | ((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) = (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1)))),
% 14.05/3.15 inference(superposition,[status(thm)],[f425,f333])).
% 14.05/3.15 thf(f333,plain,(
% 14.05/3.15 ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f218,f30])).
% 14.05/3.15 thf(f30,plain,(
% 14.05/3.15 (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f29])).
% 14.05/3.15 thf(f29,plain,(
% 14.05/3.15 (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | (sK5 != sK5) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(duplicate_literal_removal,[status(thm)],[f27])).
% 14.05/3.15 thf(f27,plain,(
% 14.05/3.15 ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | (sK5 != sK5) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(constrained_superposition,[status(thm)],[f22,f20])).
% 14.05/3.15 thf(f20,plain,(
% 14.05/3.15 (sK5 = (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(cnf_transformation,[status(thm)],[f13])).
% 14.05/3.15 thf(f13,plain,(
% 14.05/3.15 ((($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) & ((sK2 != sK3) | (sK1 != sK4))) | ((sK6 = (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) & (sK5 != sK6) & ((sK0 @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) = $true) & (sK5 = (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))))) & (! [X7 : a,X8 : a,X9 : a,X10 : a] : (((sK0 @ X8 @ X7 @ X9 @ X10) != $true) | ((X8 = X9) & (X7 = X10))) | ! [X11 : (a > a > a) > a,X12 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X12) | (X11 = X12) | ((sK0 @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) != $true) | ((^[Y0 : a > a > a]: (Y0 @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X11)))),
% 14.05/3.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f9,f12,f11,f10])).
% 14.05/3.15 thf(f10,plain,(
% 14.05/3.15 ? [X0 : a > a > a > a > $o] : ((? [X1 : a,X2 : a,X3 : a,X4 : a] : (((X0 @ X2 @ X1 @ X3 @ X4) = $true) & ((X2 != X3) | (X1 != X4))) | ? [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X6) & (X5 != X6) & ($true = (X0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) & ((^[Y0 : a > a > a]: (Y0 @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X5))) & (! [X7 : a,X8 : a,X9 : a,X10 : a] : (((X0 @ X8 @ X7 @ X9 @ X10) != $true) | ((X8 = X9) & (X7 = X10))) | ! [X11 : (a > a > a) > a,X12 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X12) | (X11 = X12) | ($true != (X0 @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) | ((^[Y0 : a > a > a]: (Y0 @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X11)))) => ((? [X4 : a,X3 : a,X2 : a,X1 : a] : (($true = (sK0 @ X2 @ X1 @ X3 @ X4)) & ((X2 != X3) | (X1 != X4))) | ? [X6 : (a > a > a) > a,X5 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X6) & (X5 != X6) & ($true = (sK0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) & ((^[Y0 : a > a > a]: (Y0 @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X5))) & (! [X10 : a,X9 : a,X8 : a,X7 : a] : (((sK0 @ X8 @ X7 @ X9 @ X10) != $true) | ((X8 = X9) & (X7 = X10))) | ! [X12 : (a > a > a) > a,X11 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X12) | (X11 = X12) | ((sK0 @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) != $true) | ((^[Y0 : a > a > a]: (Y0 @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X11))))),
% 14.05/3.15 introduced(definition,[],[choice_axiom])).
% 14.05/3.15 thf(f11,plain,(
% 14.05/3.15 ? [X4 : a,X3 : a,X2 : a,X1 : a] : (($true = (sK0 @ X2 @ X1 @ X3 @ X4)) & ((X2 != X3) | (X1 != X4))) => (($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) & ((sK2 != sK3) | (sK1 != sK4)))),
% 14.05/3.15 introduced(definition,[],[choice_axiom])).
% 14.05/3.15 thf(f12,plain,(
% 14.05/3.15 ? [X6 : (a > a > a) > a,X5 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X6) & (X5 != X6) & ($true = (sK0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) & ((^[Y0 : a > a > a]: (Y0 @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X5)) => ((sK6 = (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) & (sK5 != sK6) & ((sK0 @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) = $true) & (sK5 = (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))))),
% 14.05/3.15 introduced(definition,[],[choice_axiom])).
% 14.05/3.15 thf(f9,plain,(
% 14.05/3.15 ? [X0 : a > a > a > a > $o] : ((? [X1 : a,X2 : a,X3 : a,X4 : a] : (((X0 @ X2 @ X1 @ X3 @ X4) = $true) & ((X2 != X3) | (X1 != X4))) | ? [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X6) & (X5 != X6) & ($true = (X0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) & ((^[Y0 : a > a > a]: (Y0 @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X5))) & (! [X7 : a,X8 : a,X9 : a,X10 : a] : (((X0 @ X8 @ X7 @ X9 @ X10) != $true) | ((X8 = X9) & (X7 = X10))) | ! [X11 : (a > a > a) > a,X12 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X12) | (X11 = X12) | ($true != (X0 @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) | ((^[Y0 : a > a > a]: (Y0 @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X11))))),
% 14.05/3.15 inference(rectify,[status(thm)],[f8])).
% 14.05/3.15 thf(f8,plain,(
% 14.05/3.15 ? [X0 : a > a > a > a > $o] : ((? [X1 : a,X2 : a,X3 : a,X4 : a] : (((X0 @ X2 @ X1 @ X3 @ X4) = $true) & ((X2 != X3) | (X1 != X4))) | ? [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X6) & (X5 != X6) & ($true = (X0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) & ((^[Y0 : a > a > a]: (Y0 @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X5))) & (! [X1 : a,X2 : a,X3 : a,X4 : a] : (((X0 @ X2 @ X1 @ X3 @ X4) != $true) | ((X2 = X3) & (X1 = X4))) | ! [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X6) | (X5 = X6) | ($true != (X0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) | ((^[Y0 : a > a > a]: (Y0 @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X5))))),
% 14.05/3.15 inference(nnf_transformation,[status(thm)],[f7])).
% 14.05/3.15 thf(f7,plain,(
% 14.05/3.15 ? [X0 : a > a > a > a > $o] : (! [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : (((^[Y0 : a > a > a]: (Y0 @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X6) | (X5 = X6) | ($true != (X0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))) | ((^[Y0 : a > a > a]: (Y0 @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X5)) <~> ! [X1 : a,X2 : a,X3 : a,X4 : a] : (((X0 @ X2 @ X1 @ X3 @ X4) != $true) | ((X2 = X3) & (X1 = X4))))),
% 14.05/3.15 inference(flattening,[status(thm)],[f6])).
% 14.05/3.15 thf(f6,plain,(
% 14.05/3.15 ? [X0 : a > a > a > a > $o] : (! [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : ((X5 = X6) | (((^[Y0 : a > a > a]: (Y0 @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X6) | ((^[Y0 : a > a > a]: (Y0 @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X5) | ($true != (X0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))))) <~> ! [X1 : a,X2 : a,X3 : a,X4 : a] : (((X0 @ X2 @ X1 @ X3 @ X4) != $true) | ((X2 = X3) & (X1 = X4))))),
% 14.05/3.15 inference(ennf_transformation,[status(thm)],[f5])).
% 14.05/3.15 thf(f5,plain,(
% 14.05/3.15 ~! [X0 : a > a > a > a > $o] : (! [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : ((((^[Y0 : a > a > a]: (Y0 @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X6) & ((^[Y0 : a > a > a]: (Y0 @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) = X5) & ($true = (X0 @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))))) => (X5 = X6)) <=> ! [X1 : a,X2 : a,X3 : a,X4 : a] : (((X0 @ X2 @ X1 @ X3 @ X4) = $true) => ((X2 = X3) & (X1 = X4))))),
% 14.05/3.15 inference(fool_elimination,[status(thm)],[f4])).
% 14.05/3.15 thf(f4,plain,(
% 14.05/3.15 ~! [X0 : a > a > a > a > $o] : (! [X1 : a,X2 : a,X3 : a,X4 : a] : ((X0 @ X2 @ X1 @ X3 @ X4) => ((X1 = X4) & (X2 = X3))) <=> ! [X5 : (a > a > a) > a,X6 : (a > a > a) > a] : ((((^[X7 : a > a > a] : (X7 @ (X6 @ (^[X8 : a, X9 : a] : (X8))) @ (X6 @ (^[X10 : a, X11 : a] : (X11))))) = X6) & (X0 @ (X5 @ (^[X12 : a, X13 : a] : (X12))) @ (X5 @ (^[X14 : a, X15 : a] : (X15))) @ (X6 @ (^[X16 : a, X17 : a] : (X16))) @ (X6 @ (^[X18 : a, X19 : a] : (X19)))) & (X5 = (^[X20 : a > a > a] : (X20 @ (X5 @ (^[X21 : a, X22 : a] : (X21))) @ (X5 @ (^[X23 : a, X24 : a] : (X24))))))) => (X5 = X6)))),
% 14.05/3.15 inference(rectify,[status(thm)],[f2])).
% 14.05/3.15 thf(f2,negated_conjecture,(
% 14.05/3.15 ~! [X0 : a > a > a > a > $o] : (! [X7 : a,X6 : a,X8 : a,X9 : a] : ((X0 @ X6 @ X7 @ X8 @ X9) => ((X7 = X9) & (X6 = X8))) <=> ! [X1 : (a > a > a) > a,X2 : (a > a > a) > a] : ((((^[X3 : a > a > a] : (X3 @ (X2 @ (^[X4 : a, X5 : a] : (X4))) @ (X2 @ (^[X4 : a, X5 : a] : (X5))))) = X2) & (X0 @ (X1 @ (^[X4 : a, X5 : a] : (X4))) @ (X1 @ (^[X4 : a, X5 : a] : (X5))) @ (X2 @ (^[X4 : a, X5 : a] : (X4))) @ (X2 @ (^[X4 : a, X5 : a] : (X5)))) & (X1 = (^[X3 : a > a > a] : (X3 @ (X1 @ (^[X4 : a, X5 : a] : (X4))) @ (X1 @ (^[X4 : a, X5 : a] : (X5))))))) => (X1 = X2)))),
% 14.05/3.15 inference(negated_conjecture,[status(cth)],[f1])).
% 14.05/3.15 thf(f1,conjecture,(
% 14.05/3.15 ! [X0 : a > a > a > a > $o] : (! [X7 : a,X6 : a,X8 : a,X9 : a] : ((X0 @ X6 @ X7 @ X8 @ X9) => ((X7 = X9) & (X6 = X8))) <=> ! [X1 : (a > a > a) > a,X2 : (a > a > a) > a] : ((((^[X3 : a > a > a] : (X3 @ (X2 @ (^[X4 : a, X5 : a] : (X4))) @ (X2 @ (^[X4 : a, X5 : a] : (X5))))) = X2) & (X0 @ (X1 @ (^[X4 : a, X5 : a] : (X4))) @ (X1 @ (^[X4 : a, X5 : a] : (X5))) @ (X2 @ (^[X4 : a, X5 : a] : (X4))) @ (X2 @ (^[X4 : a, X5 : a] : (X5)))) & (X1 = (^[X3 : a > a > a] : (X3 @ (X1 @ (^[X4 : a, X5 : a] : (X4))) @ (X1 @ (^[X4 : a, X5 : a] : (X5))))))) => (X1 = X2)))),
% 14.05/3.15 file('/export/starexec/sandbox/tmp/tmp.LIMbt9Rooo/DTF2THF_7597.p',cTHM190_pme)).
% 14.05/3.15 thf(f22,plain,(
% 14.05/3.15 (sK5 != sK6) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(cnf_transformation,[status(thm)],[f13])).
% 14.05/3.15 thf(f218,plain,(
% 14.05/3.15 (sK6 = (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(backward_subsumption_demodulation,[status(thm)],[f91,f89])).
% 14.05/3.15 thf(f89,plain,(
% 14.05/3.15 ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ((sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) = (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))))),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f88])).
% 14.05/3.15 thf(f88,plain,(
% 14.05/3.15 ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ($true != $true) | ((sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) = (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))))),
% 14.05/3.15 inference(duplicate_literal_removal,[status(thm)],[f87])).
% 14.05/3.15 thf(f87,plain,(
% 14.05/3.15 ((sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) = (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0)))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ($true != $true)),
% 14.05/3.15 inference(superposition,[status(thm)],[f86,f21])).
% 14.05/3.15 thf(f21,plain,(
% 14.05/3.15 ((sK0 @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) = $true) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(cnf_transformation,[status(thm)],[f13])).
% 14.05/3.15 thf(f86,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X0 = X2) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f85,f23])).
% 14.05/3.15 thf(f23,plain,(
% 14.05/3.15 (sK6 = (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(cnf_transformation,[status(thm)],[f13])).
% 14.05/3.15 thf(f85,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((X0 = X2) | (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true)) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f84,f20])).
% 14.05/3.15 thf(f84,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((sK5 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X0 = X2) | (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f83,f22])).
% 14.05/3.15 thf(f83,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | (sK5 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X0 = X2) | (sK5 = sK6) | (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))) )),
% 14.05/3.15 inference(beta_eta_normalization,[status(thm)],[f82])).
% 14.05/3.15 thf(f82,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) = (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | (X0 = X2) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))) )),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f81])).
% 14.05/3.15 thf(f81,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X0 = X2) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) = (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ($true != $true)) )),
% 14.05/3.15 inference(superposition,[status(thm)],[f15,f21])).
% 14.05/3.15 thf(f15,plain,(
% 14.05/3.15 ( ! [X10 : a,X11 : (a > a > a) > a,X8 : a,X9 : a,X7 : a,X12 : (a > a > a) > a] : (((sK0 @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) != $true) | ((^[Y0 : a > a > a]: (Y0 @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X12) | (X11 = X12) | ((^[Y0 : a > a > a]: (Y0 @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X11) | ((sK0 @ X8 @ X7 @ X9 @ X10) != $true) | (X8 = X9)) )),
% 14.05/3.15 inference(cnf_transformation,[status(thm)],[f13])).
% 14.05/3.15 thf(f91,plain,(
% 14.05/3.15 (sK6 = (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(backward_subsumption_demodulation,[status(thm)],[f23,f72])).
% 14.05/3.15 thf(f72,plain,(
% 14.05/3.15 ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ((sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) = (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f71])).
% 14.05/3.15 thf(f71,plain,(
% 14.05/3.15 ($true != $true) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ((sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) = (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))),
% 14.05/3.15 inference(duplicate_literal_removal,[status(thm)],[f70])).
% 14.05/3.15 thf(f70,plain,(
% 14.05/3.15 ($true != $true) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ((sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) = (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))),
% 14.05/3.15 inference(superposition,[status(thm)],[f69,f21])).
% 14.05/3.15 thf(f69,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | (X1 = X3)) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f68,f23])).
% 14.05/3.15 thf(f68,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X1 = X3) | (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f67,f20])).
% 14.05/3.15 thf(f67,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X1 = X3) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | (sK5 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f66,f22])).
% 14.05/3.15 thf(f66,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((sK5 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | (sK5 = sK6) | (X1 = X3) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true)) )),
% 14.05/3.15 inference(beta_eta_normalization,[status(thm)],[f65])).
% 14.05/3.15 thf(f65,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4)) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) = (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | (X1 = X3)) )),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f64])).
% 14.05/3.15 thf(f64,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (($true != $true) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) = (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X1 = X3) | ($true = (sK0 @ sK2 @ sK1 @ sK3 @ sK4))) )),
% 14.05/3.15 inference(superposition,[status(thm)],[f14,f21])).
% 14.05/3.15 thf(f14,plain,(
% 14.05/3.15 ( ! [X10 : a,X11 : (a > a > a) > a,X8 : a,X9 : a,X7 : a,X12 : (a > a > a) > a] : (((sK0 @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X11 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (X12 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) != $true) | ((^[Y0 : a > a > a]: (Y0 @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X11 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X11) | ((^[Y0 : a > a > a]: (Y0 @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (X12 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != X12) | (X11 = X12) | ((sK0 @ X8 @ X7 @ X9 @ X10) != $true) | (X7 = X10)) )),
% 14.05/3.15 inference(cnf_transformation,[status(thm)],[f13])).
% 14.05/3.15 thf(f425,plain,(
% 14.05/3.15 ( ! [X82 : a,X83 : a,X80 : a,X81 : a] : (($true != (sK0 @ X80 @ X81 @ X82 @ X83)) | ((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) = (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1))) | (X80 = X82)) )),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f424])).
% 14.05/3.15 thf(f424,plain,(
% 14.05/3.15 ( ! [X82 : a,X83 : a,X80 : a,X81 : a] : (($true != (sK0 @ X80 @ X81 @ X82 @ X83)) | ((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) != (^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4))) | ((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) = (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1))) | (X80 = X82) | ((^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1)) != (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1)))) )),
% 14.05/3.15 inference(beta_eta_normalization,[status(thm)],[f423])).
% 14.05/3.15 thf(f423,plain,(
% 14.05/3.15 ( ! [X82 : a,X83 : a,X80 : a,X81 : a] : (((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK1)) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK2)) @ Y1) @ ((^[Y2 : a > a > a]: (sK1)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK2)) @ Y1) @ ((^[Y2 : a > a > a]: (sK1)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK1)) @ Y0))) = (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK3)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0)))) | (X80 = X82) | ($true != (sK0 @ X80 @ X81 @ X82 @ X83)) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK3)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK3)) @ Y1) @ ((^[Y2 : a > a > a]: (sK4)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK3)) @ Y1) @ ((^[Y2 : a > a > a]: (sK4)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))) )),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f350])).
% 14.05/3.15 thf(f350,plain,(
% 14.05/3.15 ( ! [X82 : a,X83 : a,X80 : a,X81 : a] : (((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK3)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK3)) @ Y1) @ ((^[Y2 : a > a > a]: (sK4)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK3)) @ Y1) @ ((^[Y2 : a > a > a]: (sK4)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK1)) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK2)) @ Y1) @ ((^[Y2 : a > a > a]: (sK1)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK2)) @ Y1) @ ((^[Y2 : a > a > a]: (sK1)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK1)) @ Y0))) = (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK3)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0)))) | (X80 = X82) | ($true != (sK0 @ X80 @ X81 @ X82 @ X83)) | ($true != $true)) )),
% 14.05/3.15 inference(superposition,[status(thm)],[f15,f333])).
% 14.05/3.15 thf(f483,plain,(
% 14.05/3.15 (sK5 != sK6) | (sK2 != sK3)),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f18,f476])).
% 14.05/3.15 thf(f476,plain,(
% 14.05/3.15 (sK1 = sK4)),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f475])).
% 14.05/3.15 thf(f475,plain,(
% 14.05/3.15 (sK1 != sK1) | (sK1 = sK4)),
% 14.05/3.15 inference(beta_eta_normalization,[status(thm)],[f472])).
% 14.05/3.15 thf(f472,plain,(
% 14.05/3.15 (sK1 != ((^[Y0 : a]: ((^[Y1 : a]: (Y1)))) @ sK2 @ sK1)) | (sK1 = sK4)),
% 14.05/3.15 inference(equality_factoring,[status(thm)],[f455])).
% 14.05/3.15 thf(f455,plain,(
% 14.05/3.15 ( ! [X1 : a > a > a] : (((X1 @ sK3 @ sK4) = (X1 @ sK2 @ sK1)) | (sK1 = sK4)) )),
% 14.05/3.15 inference(beta_eta_normalization,[status(thm)],[f454])).
% 14.05/3.15 thf(f454,plain,(
% 14.05/3.15 ( ! [X1 : a > a > a] : ((((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) @ X1) = ((^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1)) @ X1)) | (sK1 = sK4)) )),
% 14.05/3.15 inference(argument_congruence,[status(thm)],[f453])).
% 14.05/3.15 thf(f453,plain,(
% 14.05/3.15 ((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) = (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1))) | (sK1 = sK4)),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f448])).
% 14.05/3.15 thf(f448,plain,(
% 14.05/3.15 (sK1 = sK4) | ((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) = (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1))) | ($true != $true)),
% 14.05/3.15 inference(superposition,[status(thm)],[f411,f333])).
% 14.05/3.15 thf(f411,plain,(
% 14.05/3.15 ( ! [X82 : a,X83 : a,X80 : a,X81 : a] : (($true != (sK0 @ X80 @ X81 @ X82 @ X83)) | (X81 = X83) | ((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) = (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1)))) )),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f410])).
% 14.05/3.15 thf(f410,plain,(
% 14.05/3.15 ( ! [X82 : a,X83 : a,X80 : a,X81 : a] : (((^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1)) != (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1))) | ((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) != (^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4))) | (X81 = X83) | ((^[Y0 : a > a > a]: (Y0 @ sK3 @ sK4)) = (^[Y0 : a > a > a]: (Y0 @ sK2 @ sK1))) | ($true != (sK0 @ X80 @ X81 @ X82 @ X83))) )),
% 14.05/3.15 inference(beta_eta_normalization,[status(thm)],[f409])).
% 14.05/3.15 thf(f409,plain,(
% 14.05/3.15 ( ! [X82 : a,X83 : a,X80 : a,X81 : a] : ((X81 = X83) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK3)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK3)) @ Y1) @ ((^[Y2 : a > a > a]: (sK4)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK3)) @ Y1) @ ((^[Y2 : a > a > a]: (sK4)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK1)) @ Y0))) = (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK3)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0)))) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK1)) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK2)) @ Y1) @ ((^[Y2 : a > a > a]: (sK1)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK2)) @ Y1) @ ((^[Y2 : a > a > a]: (sK1)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true != (sK0 @ X80 @ X81 @ X82 @ X83))) )),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f365])).
% 14.05/3.15 thf(f365,plain,(
% 14.05/3.15 ( ! [X82 : a,X83 : a,X80 : a,X81 : a] : ((X81 = X83) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK1)) @ Y0))) = (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK3)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0)))) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK2)) @ Y0) @ ((^[Y1 : a > a > a]: (sK1)) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK2)) @ Y1) @ ((^[Y2 : a > a > a]: (sK1)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK2)) @ Y1) @ ((^[Y2 : a > a > a]: (sK1)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true != (sK0 @ X80 @ X81 @ X82 @ X83)) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK3)) @ Y0) @ ((^[Y1 : a > a > a]: (sK4)) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK3)) @ Y1) @ ((^[Y2 : a > a > a]: (sK4)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (Y1 @ ((^[Y2 : a > a > a]: (sK3)) @ Y1) @ ((^[Y2 : a > a > a]: (sK4)) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true != $true)) )),
% 14.05/3.15 inference(superposition,[status(thm)],[f14,f333])).
% 14.05/3.15 thf(f18,plain,(
% 14.05/3.15 (sK5 != sK6) | (sK2 != sK3) | (sK1 != sK4)),
% 14.05/3.15 inference(cnf_transformation,[status(thm)],[f13])).
% 14.05/3.15 thf(f1025,plain,(
% 14.05/3.15 (sK5 = sK6)),
% 14.05/3.15 inference(superposition,[status(thm)],[f761,f1020])).
% 14.05/3.15 thf(f1020,plain,(
% 14.05/3.15 (sK6 = (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))),
% 14.05/3.15 inference(backward_demodulation,[status(thm)],[f1013,f1011])).
% 14.05/3.15 thf(f1011,plain,(
% 14.05/3.15 ((sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) = (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))))),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f1010])).
% 14.05/3.15 thf(f1010,plain,(
% 14.05/3.15 ($true != $true) | ((sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) = (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))))),
% 14.05/3.15 inference(superposition,[status(thm)],[f1005,f760])).
% 14.05/3.15 thf(f760,plain,(
% 14.05/3.15 ((sK0 @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) = $true)),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f479,f757])).
% 14.05/3.15 thf(f479,plain,(
% 14.05/3.15 (sK2 != sK3) | ((sK0 @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) = $true)),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f17,f476])).
% 14.05/3.15 thf(f17,plain,(
% 14.05/3.15 (sK2 != sK3) | ((sK0 @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y0))))) @ (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) = $true) | (sK1 != sK4)),
% 14.05/3.15 inference(cnf_transformation,[status(thm)],[f13])).
% 14.05/3.15 thf(f1005,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X0 = X2)) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f1004,f761])).
% 14.05/3.15 thf(f1004,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((sK5 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X0 = X2)) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f1003,f762])).
% 14.05/3.15 thf(f762,plain,(
% 14.05/3.15 (sK6 = (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f480,f757])).
% 14.05/3.15 thf(f480,plain,(
% 14.05/3.15 (sK2 != sK3) | (sK6 = (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f19,f476])).
% 14.05/3.15 thf(f19,plain,(
% 14.05/3.15 (sK2 != sK3) | (sK1 != sK4) | (sK6 = (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))),
% 14.05/3.15 inference(cnf_transformation,[status(thm)],[f13])).
% 14.05/3.15 thf(f1003,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | (X0 = X2) | (sK5 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true)) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f997,f765])).
% 14.05/3.15 thf(f997,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((X0 = X2) | (sK5 = sK6) | (sK5 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true)) )),
% 14.05/3.15 inference(beta_eta_normalization,[status(thm)],[f996])).
% 14.05/3.15 thf(f996,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) = (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | (X0 = X2) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true)) )),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f994])).
% 14.05/3.15 thf(f994,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) = (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ($true != $true) | (X0 = X2)) )),
% 14.05/3.15 inference(superposition,[status(thm)],[f15,f760])).
% 14.05/3.15 thf(f1013,plain,(
% 14.05/3.15 (sK6 = (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))),
% 14.05/3.15 inference(backward_demodulation,[status(thm)],[f762,f1008])).
% 14.05/3.15 thf(f1008,plain,(
% 14.05/3.15 ((sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) = (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))))),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f1007])).
% 14.05/3.15 thf(f1007,plain,(
% 14.05/3.15 ((sK5 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1))))) = (sK6 @ (^[Y0 : a]: ((^[Y1 : a]: (Y1)))))) | ($true != $true)),
% 14.05/3.15 inference(superposition,[status(thm)],[f1002,f760])).
% 14.05/3.15 thf(f1002,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X1 = X3)) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f1001,f762])).
% 14.05/3.15 thf(f1001,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | (X1 = X3)) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f1000,f761])).
% 14.05/3.15 thf(f1000,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((X1 = X3) | (sK5 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true)) )),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f999,f765])).
% 14.05/3.15 thf(f999,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : ((sK5 = sK6) | (sK5 != (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | (sK6 != (^[Y0 : a > a > a]: (Y0 @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK6 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | (X1 = X3) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true)) )),
% 14.05/3.15 inference(beta_eta_normalization,[status(thm)],[f998])).
% 14.05/3.15 thf(f998,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) = (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | (X1 = X3)) )),
% 14.05/3.15 inference(trivial_inequality_removal,[status(thm)],[f995])).
% 14.05/3.15 thf(f995,plain,(
% 14.05/3.15 ( ! [X2 : a,X3 : a,X0 : a,X1 : a] : (((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) != (^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK6 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2)))))))) | ((sK0 @ X0 @ X1 @ X2 @ X3) != $true) | ((^[Y0 : a > a > a]: (Y0 @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ ((^[Y1 : a > a > a]: (sK5 @ ((^[Y2 : a > a > a]: ((^[Y3 : a]: ((^[Y4 : a]: (Y2 @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ ((^[Y5 : a > a > a]: ((^[Y6 : a]: ((^[Y7 : a]: (Y7)))))) @ Y2 @ Y3 @ Y4))))))) @ Y1))) @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))) != (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | (X1 = X3) | ((^[Y0 : a > a > a]: (sK6 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0))) = (^[Y0 : a > a > a]: (sK5 @ ((^[Y1 : a > a > a]: ((^[Y2 : a]: ((^[Y3 : a]: (Y1 @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y5)))))) @ Y1 @ Y2 @ Y3) @ ((^[Y4 : a > a > a]: ((^[Y5 : a]: ((^[Y6 : a]: (Y6)))))) @ Y1 @ Y2 @ Y3))))))) @ Y0)))) | ($true != $true)) )),
% 14.05/3.15 inference(superposition,[status(thm)],[f14,f760])).
% 14.05/3.15 thf(f761,plain,(
% 14.05/3.15 (sK5 = (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f481,f757])).
% 14.05/3.15 thf(f481,plain,(
% 14.05/3.15 (sK2 != sK3) | (sK5 = (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))),
% 14.05/3.15 inference(subsumption_resolution,[status(thm)],[f16,f476])).
% 14.05/3.15 thf(f16,plain,(
% 14.05/3.15 (sK2 != sK3) | (sK1 != sK4) | (sK5 = (^[Y0 : a > a > a]: (Y0 @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y1))))) @ (sK5 @ (^[Y1 : a]: ((^[Y2 : a]: (Y2))))))))),
% 14.05/3.15 inference(cnf_transformation,[status(thm)],[f13])).
% 14.05/3.15 % SZS output end Proof for DTF2THF_7597
% 14.05/3.15 % (7851)------------------------------
% 14.05/3.15 % (7851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.05/3.15 % (7851)Termination reason: Refutation
% 14.05/3.15
% 14.05/3.15 % (7851)Memory used [KB]: 2302
% 14.05/3.15 % (7851)Time elapsed: 0.201 s
% 14.05/3.15 % (7851)Instructions burned: 704 (million)
% 14.05/3.15 % (7851)------------------------------
% 14.05/3.15 % (7851)------------------------------
% 14.05/3.15 % (7694)Success in time 1.855 s
%------------------------------------------------------------------------------