%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV254^5 : 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 : n006.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 09:40:41 AM UTC 2026
% Result : Theorem 20.81s 4.32s
% Output : Refutation 20.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 99 ( 1 unt; 0 typ; 10 def)
% Number of atoms : 1388 ( 372 equ; 0 cnn)
% Maximal formula atoms : 40 ( 14 avg)
% Number of connectives : 2590 ( 273 ~; 279 |; 205 &;1476 @)
% ( 15 <=>; 162 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 328 ( 328 >; 0 *; 0 +; 0 <<)
% Number of symbols : 69 ( 64 usr; 16 con; 0-2 aty)
% ( 89 !!; 89 ??; 0 @@+; 0 @@-)
% Number of variables : 554 ( 282 ^; 182 !; 90 ?; 554 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_10,type,
sK0: ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
sK2: $i > $o ).
thf(func_def_14,type,
sK4: ( $i > $o ) > $i ).
thf(func_def_15,type,
sK5: $i > $o ).
thf(func_def_16,type,
sK6: ( $i > $o ) > $i ).
thf(func_def_17,type,
sK7: ( $i > $o ) > $i ).
thf(func_def_20,type,
ph9:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
sK10: $i > $o ).
thf(func_def_23,type,
sK11: $i > $o ).
thf(func_def_24,type,
sK12: ( $i > $o ) > $i ).
thf(func_def_25,type,
sK13: ( $i > $o ) > $i ).
thf(func_def_26,type,
sK14: $i > $o ).
thf(func_def_27,type,
sK15: $i > $o ).
thf(func_def_28,type,
sK16: $i > $o ).
thf(func_def_29,type,
sK17: ( $i > $o ) > $i ).
thf(func_def_30,type,
sK18: ( $i > $o ) > $i ).
thf(func_def_31,type,
sK19: ( $i > $o ) > $i ).
thf(func_def_32,type,
sK20: ( $i > $o ) > $i ).
thf(func_def_33,type,
sK21: ( $i > $o ) > $i ).
thf(func_def_34,type,
sK22: ( $i > $o ) > $i ).
thf(func_def_35,type,
sK23: $i > $o ).
thf(func_def_36,type,
sK24: $i > $o ).
thf(func_def_37,type,
sK25: $i > $o ).
thf(func_def_38,type,
sK26: ( $i > $o ) > $i ).
thf(func_def_39,type,
sK27: ( $i > $o ) > $i ).
thf(func_def_40,type,
sK28: ( $i > $o ) > $i ).
thf(func_def_41,type,
sK29: ( $i > $o ) > $i ).
thf(func_def_42,type,
sK30: $i > $o ).
thf(func_def_43,type,
sK31: ( $i > $o ) > $i ).
thf(func_def_44,type,
sK32: ( $i > $o ) > $i ).
thf(func_def_45,type,
sK33: ( $i > $o ) > $i ).
thf(func_def_46,type,
sK34: ( $i > $o ) > $i ).
thf(func_def_47,type,
sK35: $i > $o ).
thf(func_def_48,type,
sK36: $i > $o ).
thf(func_def_49,type,
sK37: $i > $o ).
thf(func_def_50,type,
sK38: $i > $o ).
thf(func_def_51,type,
sK39: ( $i > $o ) > $i ).
thf(func_def_52,type,
sK40: ( $i > $o ) > $i ).
thf(func_def_53,type,
sK41: ( $i > $o ) > $i ).
thf(func_def_54,type,
sK42: ( $i > $o ) > $i ).
thf(func_def_55,type,
sK43: ( $i > $o ) > $i ).
thf(func_def_56,type,
sK44: ( $i > $o ) > $i ).
thf(func_def_57,type,
sK45: ( $i > $o ) > $i ).
thf(func_def_58,type,
sK46: ( $i > $o ) > $i ).
thf(func_def_59,type,
sK47: $i > $o ).
thf(func_def_60,type,
sK48: $i > $o ).
thf(func_def_61,type,
sK49: $i > $o ).
thf(func_def_62,type,
sK50: $i > $o ).
thf(func_def_63,type,
sK51: ( $i > $o ) > $i ).
thf(func_def_64,type,
sK52: ( $i > $o ) > $i ).
thf(func_def_65,type,
sK53: ( $i > $o ) > $i ).
thf(func_def_66,type,
sK54: ( $i > $o ) > $i ).
thf(f1136,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f37,f45,f50,f55,f59,f63,f67,f121,f778,f891,f1135]) ).
thf(f1135,plain,
( spl8_4
| ~ spl8_6
| ~ spl8_9 ),
inference(avatar_contradiction_clause,[status(thm)],[f1134]) ).
thf(f1134,plain,
( $false
| spl8_4
| ~ spl8_6
| ~ spl8_9 ),
inference(subsumption_resolution,[status(thm)],[f1133,f54]) ).
thf(f54,plain,
( ( ( sK2 @ sK1 )
= $true )
| ~ spl8_6 ),
inference(avatar_component_clause,[status(thm)],[f52]) ).
thf(f52,definition,
( spl8_6
<=> ( ( sK2 @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl8_6])],[avatar_definition]) ).
thf(f1133,plain,
( ( ( sK2 @ sK1 )
!= $true )
| spl8_4
| ~ spl8_6
| ~ spl8_9 ),
inference(subsumption_resolution,[status(thm)],[f1129,f972]) ).
thf(f972,plain,
( ( $true
= ( sK2 @ ( sK6 @ sK2 ) ) )
| spl8_4
| ~ spl8_6
| ~ spl8_9 ),
inference(subsumption_resolution,[status(thm)],[f944,f54]) ).
thf(f944,plain,
( ( ( sK2 @ sK1 )
!= $true )
| ( $true
= ( sK2 @ ( sK6 @ sK2 ) ) )
| spl8_4
| ~ spl8_9 ),
inference(trivial_inequality_removal,[status(thm)],[f928]) ).
thf(f928,plain,
( ( $true != $true )
| ( ( sK2 @ sK1 )
!= $true )
| ( $true
= ( sK2 @ ( sK6 @ sK2 ) ) )
| spl8_4
| ~ spl8_9 ),
inference(superposition,[status(thm)],[f927,f66]) ).
thf(f66,plain,
( ! [X3: $i] :
( ( ( sK0 @ sK2 @ X3 )
= $true )
| ( $true
!= ( sK2 @ X3 ) ) )
| ~ spl8_9 ),
inference(avatar_component_clause,[status(thm)],[f65]) ).
thf(f65,definition,
( spl8_9
<=> ! [X3: $i] :
( ( ( sK0 @ sK2 @ X3 )
= $true )
| ( $true
!= ( sK2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl8_9])],[avatar_definition]) ).
thf(f927,plain,
( ! [X0: $i > $o] :
( ( ( sK0 @ X0 @ sK1 )
!= $true )
| ( $true
= ( X0 @ ( sK6 @ X0 ) ) ) )
| spl8_4 ),
inference(trivial_inequality_removal,[status(thm)],[f923]) ).
thf(f923,plain,
( ! [X0: $i > $o] :
( ( $true != $true )
| ( $true
= ( X0 @ ( sK6 @ X0 ) ) )
| ( ( sK0 @ X0 @ sK1 )
!= $true ) )
| spl8_4 ),
inference(superposition,[status(thm)],[f44,f22]) ).
thf(f22,plain,
! [X10: $i > $o,X11: $i] :
( ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X11 ) )
| ( $true
= ( X10 @ ( sK6 @ X10 ) ) )
| ( ( sK0 @ X10 @ X11 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f19,plain,
( ( ( ( ( sK2 @ sK1 )
= $true )
& ! [X3: $i] :
( ( ( sK0 @ sK2 @ X3 )
= $true )
| ( $true
!= ( sK2 @ X3 ) ) )
& ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 ) ) )
| ! [X4: $i] :
( ( ( sK0
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) )
@ X4 )
= $true )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X4 ) ) ) )
& ( ! [X6: $i > $o] :
( ( ( ( X6 @ ( sK4 @ X6 ) )
= $true )
& ( $true
!= ( sK0 @ X6 @ ( sK4 @ X6 ) ) ) )
| ( $true
!= ( X6 @ sK3 ) ) )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) )
& ( ( ! [X9: $i] :
( ( $true
!= ( sK5 @ X9 ) )
| ( $true
= ( sK0 @ sK5 @ X9 ) ) )
& ( $true
= ( sK5 @ sK3 ) ) )
| ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) )
& ! [X10: $i > $o] :
( ! [X11: $i] :
( ( ( sK0 @ X10 @ X11 )
!= $true )
| ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X11 ) ) )
| ( ( $true
= ( X10 @ ( sK6 @ X10 ) ) )
& ! [X13: $i > $o] :
( ( ( ( X13 @ ( sK7 @ X13 ) )
= $true )
& ( $true
!= ( sK0 @ X13 @ ( sK7 @ X13 ) ) ) )
| ( $true
!= ( X13 @ ( sK6 @ X10 ) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f10,f18,f17,f16,f15,f14,f13,f12,f11]) ).
thf(f11,plain,
( ? [X0: ( $i > $o ) > $i > $o] :
( ( ? [X1: $i] :
( ? [X2: $i > $o] :
( ( $true
= ( X2 @ X1 ) )
& ! [X3: $i] :
( ( $true
= ( X0 @ X2 @ X3 ) )
| ( $true
!= ( X2 @ X3 ) ) ) )
& ( ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X1 )
!= $true ) )
| ! [X4: $i] :
( ( ( X0
@ ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) ) )
@ X4 )
= $true )
| ( ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X4 )
!= $true ) ) )
& ? [X5: $i] :
( ( ! [X6: $i > $o] :
( ? [X7: $i] :
( ( ( X6 @ X7 )
= $true )
& ( $true
!= ( X0 @ X6 @ X7 ) ) )
| ( ( X6 @ X5 )
!= $true ) )
| ( $true
!= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X5 ) ) )
& ( ? [X8: $i > $o] :
( ! [X9: $i] :
( ( ( X8 @ X9 )
!= $true )
| ( ( X0 @ X8 @ X9 )
= $true ) )
& ( $true
= ( X8 @ X5 ) ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X5 ) ) ) )
& ! [X10: $i > $o] :
( ! [X11: $i] :
( ( $true
!= ( X0 @ X10 @ X11 ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X11 ) ) )
| ? [X12: $i] :
( ( $true
= ( X10 @ X12 ) )
& ! [X13: $i > $o] :
( ? [X14: $i] :
( ( ( X13 @ X14 )
= $true )
& ( ( X0 @ X13 @ X14 )
!= $true ) )
| ( $true
!= ( X13 @ X12 ) ) ) ) ) )
=> ( ( ? [X1: $i] :
( ? [X2: $i > $o] :
( ( $true
= ( X2 @ X1 ) )
& ! [X3: $i] :
( ( $true
= ( sK0 @ X2 @ X3 ) )
| ( $true
!= ( X2 @ X3 ) ) ) )
& ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X1 ) ) )
| ! [X4: $i] :
( ( ( sK0
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) )
@ X4 )
= $true )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X4 ) ) ) )
& ? [X5: $i] :
( ( ! [X6: $i > $o] :
( ? [X7: $i] :
( ( ( X6 @ X7 )
= $true )
& ( $true
!= ( sK0 @ X6 @ X7 ) ) )
| ( ( X6 @ X5 )
!= $true ) )
| ( ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X5 )
!= $true ) )
& ( ? [X8: $i > $o] :
( ! [X9: $i] :
( ( ( X8 @ X9 )
!= $true )
| ( $true
= ( sK0 @ X8 @ X9 ) ) )
& ( $true
= ( X8 @ X5 ) ) )
| ( ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X5 )
= $true ) ) )
& ! [X10: $i > $o] :
( ! [X11: $i] :
( ( ( sK0 @ X10 @ X11 )
!= $true )
| ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X11 ) ) )
| ? [X12: $i] :
( ( $true
= ( X10 @ X12 ) )
& ! [X13: $i > $o] :
( ? [X14: $i] :
( ( ( X13 @ X14 )
= $true )
& ( ( sK0 @ X13 @ X14 )
!= $true ) )
| ( $true
!= ( X13 @ X12 ) ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f12,plain,
( ? [X1: $i] :
( ? [X2: $i > $o] :
( ( $true
= ( X2 @ X1 ) )
& ! [X3: $i] :
( ( $true
= ( sK0 @ X2 @ X3 ) )
| ( $true
!= ( X2 @ X3 ) ) ) )
& ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X1 ) ) )
=> ( ? [X2: $i > $o] :
( ( ( X2 @ sK1 )
= $true )
& ! [X3: $i] :
( ( $true
= ( sK0 @ X2 @ X3 ) )
| ( $true
!= ( X2 @ X3 ) ) ) )
& ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f13,plain,
( ? [X2: $i > $o] :
( ( ( X2 @ sK1 )
= $true )
& ! [X3: $i] :
( ( $true
= ( sK0 @ X2 @ X3 ) )
| ( $true
!= ( X2 @ X3 ) ) ) )
=> ( ( ( sK2 @ sK1 )
= $true )
& ! [X3: $i] :
( ( ( sK0 @ sK2 @ X3 )
= $true )
| ( $true
!= ( sK2 @ X3 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f14,plain,
( ? [X5: $i] :
( ( ! [X6: $i > $o] :
( ? [X7: $i] :
( ( ( X6 @ X7 )
= $true )
& ( $true
!= ( sK0 @ X6 @ X7 ) ) )
| ( ( X6 @ X5 )
!= $true ) )
| ( ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X5 )
!= $true ) )
& ( ? [X8: $i > $o] :
( ! [X9: $i] :
( ( ( X8 @ X9 )
!= $true )
| ( $true
= ( sK0 @ X8 @ X9 ) ) )
& ( $true
= ( X8 @ X5 ) ) )
| ( ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X5 )
= $true ) ) )
=> ( ( ! [X6: $i > $o] :
( ? [X7: $i] :
( ( ( X6 @ X7 )
= $true )
& ( $true
!= ( sK0 @ X6 @ X7 ) ) )
| ( $true
!= ( X6 @ sK3 ) ) )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) )
& ( ? [X8: $i > $o] :
( ! [X9: $i] :
( ( ( X8 @ X9 )
!= $true )
| ( $true
= ( sK0 @ X8 @ X9 ) ) )
& ( $true
= ( X8 @ sK3 ) ) )
| ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15,plain,
! [X6: $i > $o] :
( ? [X7: $i] :
( ( ( X6 @ X7 )
= $true )
& ( $true
!= ( sK0 @ X6 @ X7 ) ) )
=> ( ( ( X6 @ ( sK4 @ X6 ) )
= $true )
& ( $true
!= ( sK0 @ X6 @ ( sK4 @ X6 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f16,plain,
( ? [X8: $i > $o] :
( ! [X9: $i] :
( ( ( X8 @ X9 )
!= $true )
| ( $true
= ( sK0 @ X8 @ X9 ) ) )
& ( $true
= ( X8 @ sK3 ) ) )
=> ( ! [X9: $i] :
( ( $true
!= ( sK5 @ X9 ) )
| ( $true
= ( sK0 @ sK5 @ X9 ) ) )
& ( $true
= ( sK5 @ sK3 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f17,plain,
! [X10: $i > $o] :
( ? [X12: $i] :
( ( $true
= ( X10 @ X12 ) )
& ! [X13: $i > $o] :
( ? [X14: $i] :
( ( ( X13 @ X14 )
= $true )
& ( ( sK0 @ X13 @ X14 )
!= $true ) )
| ( $true
!= ( X13 @ X12 ) ) ) )
=> ( ( $true
= ( X10 @ ( sK6 @ X10 ) ) )
& ! [X13: $i > $o] :
( ? [X14: $i] :
( ( ( X13 @ X14 )
= $true )
& ( ( sK0 @ X13 @ X14 )
!= $true ) )
| ( $true
!= ( X13 @ ( sK6 @ X10 ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18,plain,
! [X13: $i > $o] :
( ? [X14: $i] :
( ( ( X13 @ X14 )
= $true )
& ( ( sK0 @ X13 @ X14 )
!= $true ) )
=> ( ( ( X13 @ ( sK7 @ X13 ) )
= $true )
& ( $true
!= ( sK0 @ X13 @ ( sK7 @ X13 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10,plain,
? [X0: ( $i > $o ) > $i > $o] :
( ( ? [X1: $i] :
( ? [X2: $i > $o] :
( ( $true
= ( X2 @ X1 ) )
& ! [X3: $i] :
( ( $true
= ( X0 @ X2 @ X3 ) )
| ( $true
!= ( X2 @ X3 ) ) ) )
& ( ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X1 )
!= $true ) )
| ! [X4: $i] :
( ( ( X0
@ ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) ) )
@ X4 )
= $true )
| ( ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X4 )
!= $true ) ) )
& ? [X5: $i] :
( ( ! [X6: $i > $o] :
( ? [X7: $i] :
( ( ( X6 @ X7 )
= $true )
& ( $true
!= ( X0 @ X6 @ X7 ) ) )
| ( ( X6 @ X5 )
!= $true ) )
| ( $true
!= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X5 ) ) )
& ( ? [X8: $i > $o] :
( ! [X9: $i] :
( ( ( X8 @ X9 )
!= $true )
| ( ( X0 @ X8 @ X9 )
= $true ) )
& ( $true
= ( X8 @ X5 ) ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X5 ) ) ) )
& ! [X10: $i > $o] :
( ! [X11: $i] :
( ( $true
!= ( X0 @ X10 @ X11 ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X11 ) ) )
| ? [X12: $i] :
( ( $true
= ( X10 @ X12 ) )
& ! [X13: $i > $o] :
( ? [X14: $i] :
( ( ( X13 @ X14 )
= $true )
& ( ( X0 @ X13 @ X14 )
!= $true ) )
| ( $true
!= ( X13 @ X12 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f9]) ).
thf(f9,plain,
? [X0: ( $i > $o ) > $i > $o] :
( ( ? [X6: $i] :
( ? [X7: $i > $o] :
( ( $true
= ( X7 @ X6 ) )
& ! [X8: $i] :
( ( $true
= ( X0 @ X7 @ X8 ) )
| ( $true
!= ( X7 @ X8 ) ) ) )
& ( $true
!= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X6 ) ) )
| ! [X9: $i] :
( ( ( X0
@ ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) ) )
@ X9 )
= $true )
| ( $true
!= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X9 ) ) ) )
& ? [X10: $i] :
( ( ! [X11: $i > $o] :
( ? [X12: $i] :
( ( $true
= ( X11 @ X12 ) )
& ( ( X0 @ X11 @ X12 )
!= $true ) )
| ( ( X11 @ X10 )
!= $true ) )
| ( $true
!= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X10 ) ) )
& ( ? [X11: $i > $o] :
( ! [X12: $i] :
( ( $true
!= ( X11 @ X12 ) )
| ( ( X0 @ X11 @ X12 )
= $true ) )
& ( ( X11 @ X10 )
= $true ) )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X10 ) ) ) )
& ! [X1: $i > $o] :
( ! [X5: $i] :
( ( ( X0 @ X1 @ X5 )
!= $true )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X5 ) ) )
| ? [X2: $i] :
( ( ( X1 @ X2 )
= $true )
& ! [X3: $i > $o] :
( ? [X4: $i] :
( ( ( X3 @ X4 )
= $true )
& ( ( X0 @ X3 @ X4 )
!= $true ) )
| ( ( X3 @ X2 )
!= $true ) ) ) ) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
? [X0: ( $i > $o ) > $i > $o] :
( ( ? [X6: $i] :
( ? [X7: $i > $o] :
( ( $true
= ( X7 @ X6 ) )
& ! [X8: $i] :
( ( $true
= ( X0 @ X7 @ X8 ) )
| ( $true
!= ( X7 @ X8 ) ) ) )
& ( $true
!= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X6 ) ) )
| ! [X9: $i] :
( ( ( X0
@ ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) ) )
@ X9 )
= $true )
| ( $true
!= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X9 ) ) ) )
& ? [X10: $i] :
( ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X10 ) )
<~> ? [X11: $i > $o] :
( ! [X12: $i] :
( ( $true
!= ( X11 @ X12 ) )
| ( ( X0 @ X11 @ X12 )
= $true ) )
& ( ( X11 @ X10 )
= $true ) ) )
& ! [X1: $i > $o] :
( ! [X5: $i] :
( ( ( X0 @ X1 @ X5 )
!= $true )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X5 ) ) )
| ? [X2: $i] :
( ( ( X1 @ X2 )
= $true )
& ! [X3: $i > $o] :
( ? [X4: $i] :
( ( ( X3 @ X4 )
= $true )
& ( ( X0 @ X3 @ X4 )
!= $true ) )
| ( ( X3 @ X2 )
!= $true ) ) ) ) ),
inference(flattening,[status(thm)],[f7]) ).
thf(f7,plain,
? [X0: ( $i > $o ) > $i > $o] :
( ? [X10: $i] :
( ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X10 ) )
<~> ? [X11: $i > $o] :
( ! [X12: $i] :
( ( $true
!= ( X11 @ X12 ) )
| ( ( X0 @ X11 @ X12 )
= $true ) )
& ( ( X11 @ X10 )
= $true ) ) )
& ! [X1: $i > $o] :
( ! [X5: $i] :
( ( ( X0 @ X1 @ X5 )
!= $true )
| ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X5 ) ) )
| ? [X2: $i] :
( ( ( X1 @ X2 )
= $true )
& ! [X3: $i > $o] :
( ? [X4: $i] :
( ( ( X3 @ X4 )
= $true )
& ( ( X0 @ X3 @ X4 )
!= $true ) )
| ( ( X3 @ X2 )
!= $true ) ) ) )
& ( ? [X6: $i] :
( ? [X7: $i > $o] :
( ( $true
= ( X7 @ X6 ) )
& ! [X8: $i] :
( ( $true
= ( X0 @ X7 @ X8 ) )
| ( $true
!= ( X7 @ X8 ) ) ) )
& ( $true
!= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X6 ) ) )
| ! [X9: $i] :
( ( ( X0
@ ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) ) )
@ X9 )
= $true )
| ( $true
!= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X9 ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ! [X0: ( $i > $o ) > $i > $o] :
( ( ! [X1: $i > $o] :
( ! [X2: $i] :
( ( ( X1 @ X2 )
= $true )
=> ? [X3: $i > $o] :
( ! [X4: $i] :
( ( ( X3 @ X4 )
= $true )
=> ( ( X0 @ X3 @ X4 )
= $true ) )
& ( ( X3 @ X2 )
= $true ) ) )
=> ! [X5: $i] :
( ( ( X0 @ X1 @ X5 )
= $true )
=> ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X5 ) ) ) )
& ( ! [X6: $i] :
( ? [X7: $i > $o] :
( ! [X8: $i] :
( ( $true
= ( X7 @ X8 ) )
=> ( $true
= ( X0 @ X7 @ X8 ) ) )
& ( $true
= ( X7 @ X6 ) ) )
=> ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X6 ) ) )
=> ! [X9: $i] :
( ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X9 ) )
=> ( ( X0
@ ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) ) )
@ X9 )
= $true ) ) ) )
=> ! [X10: $i] :
( ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X10 ) )
<=> ? [X11: $i > $o] :
( ( ( X11 @ X10 )
= $true )
& ! [X12: $i] :
( ( $true
= ( X11 @ X12 ) )
=> ( ( X0 @ X11 @ X12 )
= $true ) ) ) ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X0: ( $i > $o ) > $i > $o] :
( ( ! [X1: $i > $o] :
( ! [X2: $i] :
( ( ( X1 @ X2 )
= $true )
=> ? [X3: $i > $o] :
( ! [X4: $i] :
( ( ( X3 @ X4 )
= $true )
=> ( ( X0 @ X3 @ X4 )
= $true ) )
& ( ( X3 @ X2 )
= $true ) ) )
=> ! [X5: $i] :
( ( ( X0 @ X1 @ X5 )
= $true )
=> ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X5 ) ) ) )
& ( ! [X9: $i] :
( ? [X10: $i > $o] :
( ! [X11: $i] :
( ( $true
= ( X10 @ X11 ) )
=> ( $true
= ( X0 @ X10 @ X11 ) ) )
& ( $true
= ( X10 @ X9 ) ) )
=> ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X9 ) ) )
=> ! [X15: $i] :
( ( ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X15 )
= $true )
=> ( $true
= ( X0
@ ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) ) )
@ X15 ) ) ) ) )
=> ! [X22: $i] :
( ( $true
= ( X0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( X0 @ Y1 @ Y2 ) ) ) ) )
@ X22 ) )
<=> ? [X26: $i > $o] :
( ( $true
= ( X26 @ X22 ) )
& ! [X27: $i] :
( ( $true
= ( X26 @ X27 ) )
=> ( ( X0 @ X26 @ X27 )
= $true ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: ( $i > $o ) > $i > $o] :
( ( ! [X1: $i > $o] :
( ! [X2: $i] :
( ( X1 @ X2 )
=> ? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) ) )
=> ! [X5: $i] :
( ( X0 @ X1 @ X5 )
=> ( X0
@ ^ [X6: $i] :
? [X7: $i > $o] :
( ! [X8: $i] :
( ( X7 @ X8 )
=> ( X0 @ X7 @ X8 ) )
& ( X7 @ X6 ) )
@ X5 ) ) )
& ( ! [X9: $i] :
( ? [X10: $i > $o] :
( ! [X11: $i] :
( ( X10 @ X11 )
=> ( X0 @ X10 @ X11 ) )
& ( X10 @ X9 ) )
=> ( X0
@ ^ [X12: $i] :
? [X13: $i > $o] :
( ! [X14: $i] :
( ( X13 @ X14 )
=> ( X0 @ X13 @ X14 ) )
& ( X13 @ X12 ) )
@ X9 ) )
=> ! [X15: $i] :
( ( X0
@ ^ [X16: $i] :
? [X17: $i > $o] :
( ! [X18: $i] :
( ( X17 @ X18 )
=> ( X0 @ X17 @ X18 ) )
& ( X17 @ X16 ) )
@ X15 )
=> ( X0
@ ( X0
@ ^ [X19: $i] :
? [X20: $i > $o] :
( ! [X21: $i] :
( ( X20 @ X21 )
=> ( X0 @ X20 @ X21 ) )
& ( X20 @ X19 ) ) )
@ X15 ) ) ) )
=> ! [X22: $i] :
( ( X0
@ ^ [X23: $i] :
? [X24: $i > $o] :
( ! [X25: $i] :
( ( X24 @ X25 )
=> ( X0 @ X24 @ X25 ) )
& ( X24 @ X23 ) )
@ X22 )
<=> ? [X26: $i > $o] :
( ( X26 @ X22 )
& ! [X27: $i] :
( ( X26 @ X27 )
=> ( X0 @ X26 @ X27 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: ( $i > $o ) > $i > $o] :
( ( ! [X1: $i > $o] :
( ! [X2: $i] :
( ( X1 @ X2 )
=> ? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) ) )
=> ! [X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0
@ ^ [X4: $i] :
? [X3: $i > $o] :
( ! [X5: $i] :
( ( X3 @ X5 )
=> ( X0 @ X3 @ X5 ) )
& ( X3 @ X4 ) )
@ X2 ) ) )
& ( ! [X1: $i] :
( ? [X3: $i > $o] :
( ! [X2: $i] :
( ( X3 @ X2 )
=> ( X0 @ X3 @ X2 ) )
& ( X3 @ X1 ) )
=> ( X0
@ ^ [X2: $i] :
? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) )
@ X1 ) )
=> ! [X1: $i] :
( ( X0
@ ^ [X2: $i] :
? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) )
@ X1 )
=> ( X0
@ ( X0
@ ^ [X2: $i] :
? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) ) )
@ X1 ) ) ) )
=> ! [X1: $i] :
( ( X0
@ ^ [X2: $i] :
? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) )
@ X1 )
<=> ? [X3: $i > $o] :
( ( X3 @ X1 )
& ! [X2: $i] :
( ( X3 @ X2 )
=> ( X0 @ X3 @ X2 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: ( $i > $o ) > $i > $o] :
( ( ! [X1: $i > $o] :
( ! [X2: $i] :
( ( X1 @ X2 )
=> ? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) ) )
=> ! [X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0
@ ^ [X4: $i] :
? [X3: $i > $o] :
( ! [X5: $i] :
( ( X3 @ X5 )
=> ( X0 @ X3 @ X5 ) )
& ( X3 @ X4 ) )
@ X2 ) ) )
& ( ! [X1: $i] :
( ? [X3: $i > $o] :
( ! [X2: $i] :
( ( X3 @ X2 )
=> ( X0 @ X3 @ X2 ) )
& ( X3 @ X1 ) )
=> ( X0
@ ^ [X2: $i] :
? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) )
@ X1 ) )
=> ! [X1: $i] :
( ( X0
@ ^ [X2: $i] :
? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) )
@ X1 )
=> ( X0
@ ( X0
@ ^ [X2: $i] :
? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) ) )
@ X1 ) ) ) )
=> ! [X1: $i] :
( ( X0
@ ^ [X2: $i] :
? [X3: $i > $o] :
( ! [X4: $i] :
( ( X3 @ X4 )
=> ( X0 @ X3 @ X4 ) )
& ( X3 @ X2 ) )
@ X1 )
<=> ? [X3: $i > $o] :
( ( X3 @ X1 )
& ! [X2: $i] :
( ( X3 @ X2 )
=> ( X0 @ X3 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.FhpW2Qq8uZ/DTF2THF_17436.p',cTHM2C_pme) ).
thf(f44,plain,
( ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 ) )
| spl8_4 ),
inference(avatar_component_clause,[status(thm)],[f42]) ).
thf(f42,definition,
( spl8_4
<=> ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 ) ) ),
introduced(definition,[new_symbols(naming,[spl8_4])],[avatar_definition]) ).
thf(f1129,plain,
( ( $true
!= ( sK2 @ ( sK6 @ sK2 ) ) )
| ( ( sK2 @ sK1 )
!= $true )
| spl8_4
| ~ spl8_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1121]) ).
thf(f1121,plain,
( ( $true
!= ( sK2 @ ( sK6 @ sK2 ) ) )
| ( ( sK2 @ sK1 )
!= $true )
| ( $true != $true )
| spl8_4
| ~ spl8_9 ),
inference(superposition,[status(thm)],[f1044,f66]) ).
thf(f1044,plain,
( ! [X0: $i > $o] :
( ( ( sK0 @ X0 @ sK1 )
!= $true )
| ( $true
!= ( sK2 @ ( sK6 @ X0 ) ) ) )
| spl8_4
| ~ spl8_9 ),
inference(subsumption_resolution,[status(thm)],[f1013,f926]) ).
thf(f926,plain,
( ! [X0: $i > $o,X1: $i > $o] :
( ( $true
!= ( sK0 @ X1 @ sK1 ) )
| ( $true
= ( X0 @ ( sK7 @ X0 ) ) )
| ( $true
!= ( X0 @ ( sK6 @ X1 ) ) ) )
| spl8_4 ),
inference(trivial_inequality_removal,[status(thm)],[f922]) ).
thf(f922,plain,
( ! [X0: $i > $o,X1: $i > $o] :
( ( $true
= ( X0 @ ( sK7 @ X0 ) ) )
| ( $true
!= ( sK0 @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( X0 @ ( sK6 @ X1 ) ) ) )
| spl8_4 ),
inference(superposition,[status(thm)],[f44,f21]) ).
thf(f21,plain,
! [X10: $i > $o,X11: $i,X13: $i > $o] :
( ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X11 ) )
| ( ( X13 @ ( sK7 @ X13 ) )
= $true )
| ( ( sK0 @ X10 @ X11 )
!= $true )
| ( $true
!= ( X13 @ ( sK6 @ X10 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f1013,plain,
( ! [X0: $i > $o] :
( ( ( sK0 @ X0 @ sK1 )
!= $true )
| ( $true
!= ( sK2 @ ( sK6 @ X0 ) ) )
| ( $true
!= ( sK2 @ ( sK7 @ sK2 ) ) ) )
| spl8_4
| ~ spl8_9 ),
inference(trivial_inequality_removal,[status(thm)],[f998]) ).
thf(f998,plain,
( ! [X0: $i > $o] :
( ( $true
!= ( sK2 @ ( sK6 @ X0 ) ) )
| ( ( sK0 @ X0 @ sK1 )
!= $true )
| ( $true
!= ( sK2 @ ( sK7 @ sK2 ) ) )
| ( $true != $true ) )
| spl8_4
| ~ spl8_9 ),
inference(superposition,[status(thm)],[f925,f66]) ).
thf(f925,plain,
( ! [X0: $i > $o,X1: $i > $o] :
( ( $true
!= ( sK0 @ X1 @ ( sK7 @ X1 ) ) )
| ( $true
!= ( X1 @ ( sK6 @ X0 ) ) )
| ( ( sK0 @ X0 @ sK1 )
!= $true ) )
| spl8_4 ),
inference(trivial_inequality_removal,[status(thm)],[f921]) ).
thf(f921,plain,
( ! [X0: $i > $o,X1: $i > $o] :
( ( $true
!= ( X1 @ ( sK6 @ X0 ) ) )
| ( $true
!= ( sK0 @ X1 @ ( sK7 @ X1 ) ) )
| ( ( sK0 @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| spl8_4 ),
inference(superposition,[status(thm)],[f44,f20]) ).
thf(f20,plain,
! [X10: $i > $o,X11: $i,X13: $i > $o] :
( ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X11 ) )
| ( ( sK0 @ X10 @ X11 )
!= $true )
| ( $true
!= ( X13 @ ( sK6 @ X10 ) ) )
| ( $true
!= ( sK0 @ X13 @ ( sK7 @ X13 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f891,plain,
( ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| ~ spl8_8 ),
inference(avatar_contradiction_clause,[status(thm)],[f890]) ).
thf(f890,plain,
( $false
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| ~ spl8_8 ),
inference(subsumption_resolution,[status(thm)],[f889,f35]) ).
thf(f35,plain,
( ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
| ~ spl8_2 ),
inference(avatar_component_clause,[status(thm)],[f34]) ).
thf(f34,definition,
( spl8_2
<=> ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl8_2])],[avatar_definition]) ).
thf(f889,plain,
( ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| ~ spl8_8 ),
inference(trivial_inequality_removal,[status(thm)],[f883]) ).
thf(f883,plain,
( ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
| ( $true != $true )
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3
| ~ spl8_8 ),
inference(superposition,[status(thm)],[f834,f62]) ).
thf(f62,plain,
( ! [X6: $i > $o] :
( ( ( X6 @ ( sK4 @ X6 ) )
= $true )
| ( $true
!= ( X6 @ sK3 ) ) )
| ~ spl8_8 ),
inference(avatar_component_clause,[status(thm)],[f61]) ).
thf(f61,definition,
( spl8_8
<=> ! [X6: $i > $o] :
( ( ( X6 @ ( sK4 @ X6 ) )
= $true )
| ( $true
!= ( X6 @ sK3 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl8_8])],[avatar_definition]) ).
thf(f834,plain,
( ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ ( sK4
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl8_1
| ~ spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[status(thm)],[f833,f35]) ).
thf(f833,plain,
( ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ ( sK4
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl8_1
| ~ spl8_3 ),
inference(trivial_inequality_removal,[status(thm)],[f789]) ).
thf(f789,plain,
( ( $true != $true )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ ( sK4
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl8_1
| ~ spl8_3 ),
inference(superposition,[status(thm)],[f32,f40]) ).
thf(f40,plain,
( ! [X4: $i] :
( ( ( sK0
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) )
@ X4 )
= $true )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X4 ) ) )
| ~ spl8_3 ),
inference(avatar_component_clause,[status(thm)],[f39]) ).
thf(f39,definition,
( spl8_3
<=> ! [X4: $i] :
( ( ( sK0
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) )
@ X4 )
= $true )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X4 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl8_3])],[avatar_definition]) ).
thf(f32,plain,
( ! [X6: $i > $o] :
( ( $true
!= ( sK0 @ X6 @ ( sK4 @ X6 ) ) )
| ( $true
!= ( X6 @ sK3 ) ) )
| ~ spl8_1 ),
inference(avatar_component_clause,[status(thm)],[f31]) ).
thf(f31,definition,
( spl8_1
<=> ! [X6: $i > $o] :
( ( $true
!= ( X6 @ sK3 ) )
| ( $true
!= ( sK0 @ X6 @ ( sK4 @ X6 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl8_1])],[avatar_definition]) ).
thf(f778,plain,
( spl8_2
| ~ spl8_5
| ~ spl8_7
| ~ spl8_12 ),
inference(avatar_contradiction_clause,[status(thm)],[f777]) ).
thf(f777,plain,
( $false
| spl8_2
| ~ spl8_5
| ~ spl8_7
| ~ spl8_12 ),
inference(subsumption_resolution,[status(thm)],[f776,f663]) ).
thf(f663,plain,
( ( ( sK5 @ ( sK6 @ sK5 ) )
= $true )
| spl8_2
| ~ spl8_5
| ~ spl8_7 ),
inference(subsumption_resolution,[status(thm)],[f662,f49]) ).
thf(f49,plain,
( ( $true
= ( sK5 @ sK3 ) )
| ~ spl8_5 ),
inference(avatar_component_clause,[status(thm)],[f47]) ).
thf(f47,definition,
( spl8_5
<=> ( $true
= ( sK5 @ sK3 ) ) ),
introduced(definition,[new_symbols(naming,[spl8_5])],[avatar_definition]) ).
thf(f662,plain,
( ( $true
!= ( sK5 @ sK3 ) )
| ( ( sK5 @ ( sK6 @ sK5 ) )
= $true )
| spl8_2
| ~ spl8_7 ),
inference(trivial_inequality_removal,[status(thm)],[f624]) ).
thf(f624,plain,
( ( $true != $true )
| ( $true
!= ( sK5 @ sK3 ) )
| ( ( sK5 @ ( sK6 @ sK5 ) )
= $true )
| spl8_2
| ~ spl8_7 ),
inference(superposition,[status(thm)],[f616,f58]) ).
thf(f58,plain,
( ! [X9: $i] :
( ( $true
= ( sK0 @ sK5 @ X9 ) )
| ( $true
!= ( sK5 @ X9 ) ) )
| ~ spl8_7 ),
inference(avatar_component_clause,[status(thm)],[f57]) ).
thf(f57,definition,
( spl8_7
<=> ! [X9: $i] :
( ( $true
= ( sK0 @ sK5 @ X9 ) )
| ( $true
!= ( sK5 @ X9 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl8_7])],[avatar_definition]) ).
thf(f616,plain,
( ! [X0: $i > $o] :
( ( $true
!= ( sK0 @ X0 @ sK3 ) )
| ( $true
= ( X0 @ ( sK6 @ X0 ) ) ) )
| spl8_2 ),
inference(trivial_inequality_removal,[status(thm)],[f614]) ).
thf(f614,plain,
( ! [X0: $i > $o] :
( ( $true
= ( X0 @ ( sK6 @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( sK0 @ X0 @ sK3 ) ) )
| spl8_2 ),
inference(superposition,[status(thm)],[f36,f22]) ).
thf(f36,plain,
( ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
| spl8_2 ),
inference(avatar_component_clause,[status(thm)],[f34]) ).
thf(f776,plain,
( ( ( sK5 @ ( sK6 @ sK5 ) )
!= $true )
| spl8_2
| ~ spl8_5
| ~ spl8_7
| ~ spl8_12 ),
inference(subsumption_resolution,[status(thm)],[f772,f49]) ).
thf(f772,plain,
( ( $true
!= ( sK5 @ sK3 ) )
| ( ( sK5 @ ( sK6 @ sK5 ) )
!= $true )
| spl8_2
| ~ spl8_7
| ~ spl8_12 ),
inference(trivial_inequality_removal,[status(thm)],[f769]) ).
thf(f769,plain,
( ( ( sK5 @ ( sK6 @ sK5 ) )
!= $true )
| ( $true
!= ( sK5 @ sK3 ) )
| ( $true != $true )
| spl8_2
| ~ spl8_7
| ~ spl8_12 ),
inference(superposition,[status(thm)],[f748,f58]) ).
thf(f748,plain,
( ! [X0: $i > $o] :
( ( $true
!= ( sK0 @ X0 @ sK3 ) )
| ( $true
!= ( sK5 @ ( sK6 @ X0 ) ) ) )
| spl8_2
| ~ spl8_7
| ~ spl8_12 ),
inference(subsumption_resolution,[status(thm)],[f720,f111]) ).
thf(f111,plain,
( ! [X0: $i > $o,X1: $i > $o] :
( ( $true
!= ( sK0 @ X1 @ sK3 ) )
| ( $true
= ( X0 @ ( sK7 @ X0 ) ) )
| ( $true
!= ( X0 @ ( sK6 @ X1 ) ) ) )
| ~ spl8_12 ),
inference(avatar_component_clause,[status(thm)],[f110]) ).
thf(f110,definition,
( spl8_12
<=> ! [X0: $i > $o,X1: $i > $o] :
( ( $true
!= ( sK0 @ X1 @ sK3 ) )
| ( $true
= ( X0 @ ( sK7 @ X0 ) ) )
| ( $true
!= ( X0 @ ( sK6 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl8_12])],[avatar_definition]) ).
thf(f720,plain,
( ! [X0: $i > $o] :
( ( $true
!= ( sK5 @ ( sK7 @ sK5 ) ) )
| ( $true
!= ( sK5 @ ( sK6 @ X0 ) ) )
| ( $true
!= ( sK0 @ X0 @ sK3 ) ) )
| spl8_2
| ~ spl8_7 ),
inference(trivial_inequality_removal,[status(thm)],[f709]) ).
thf(f709,plain,
( ! [X0: $i > $o] :
( ( $true
!= ( sK5 @ ( sK6 @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( sK0 @ X0 @ sK3 ) )
| ( $true
!= ( sK5 @ ( sK7 @ sK5 ) ) ) )
| spl8_2
| ~ spl8_7 ),
inference(superposition,[status(thm)],[f618,f58]) ).
thf(f618,plain,
( ! [X0: $i > $o,X1: $i > $o] :
( ( $true
!= ( sK0 @ X1 @ ( sK7 @ X1 ) ) )
| ( $true
!= ( X1 @ ( sK6 @ X0 ) ) )
| ( $true
!= ( sK0 @ X0 @ sK3 ) ) )
| spl8_2 ),
inference(trivial_inequality_removal,[status(thm)],[f612]) ).
thf(f612,plain,
( ! [X0: $i > $o,X1: $i > $o] :
( ( $true
!= ( sK0 @ X0 @ sK3 ) )
| ( $true
!= ( X1 @ ( sK6 @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( sK0 @ X1 @ ( sK7 @ X1 ) ) ) )
| spl8_2 ),
inference(superposition,[status(thm)],[f36,f20]) ).
thf(f121,plain,
( spl8_12
| spl8_2 ),
inference(avatar_split_clause,[status(thm)],[f99,f34,f110]) ).
thf(f99,plain,
( ! [X0: $i > $o,X1: $i > $o] :
( ( $true
!= ( sK0 @ X1 @ sK3 ) )
| ( $true
= ( X0 @ ( sK7 @ X0 ) ) )
| ( $true
!= ( X0 @ ( sK6 @ X1 ) ) ) )
| spl8_2 ),
inference(trivial_inequality_removal,[status(thm)],[f95]) ).
thf(f95,plain,
( ! [X0: $i > $o,X1: $i > $o] :
( ( $true
!= ( X0 @ ( sK6 @ X1 ) ) )
| ( $true != $true )
| ( $true
!= ( sK0 @ X1 @ sK3 ) )
| ( $true
= ( X0 @ ( sK7 @ X0 ) ) ) )
| spl8_2 ),
inference(superposition,[status(thm)],[f36,f21]) ).
thf(f67,plain,
( spl8_3
| spl8_9 ),
inference(avatar_split_clause,[status(thm)],[f28,f65,f39]) ).
thf(f28,plain,
! [X3: $i,X4: $i] :
( ( ( sK0
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) )
@ X4 )
= $true )
| ( ( sK0 @ sK2 @ X3 )
= $true )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X4 ) )
| ( $true
!= ( sK2 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f63,plain,
( ~ spl8_2
| spl8_8 ),
inference(avatar_split_clause,[status(thm)],[f26,f61,f34]) ).
thf(f26,plain,
! [X6: $i > $o] :
( ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) )
| ( ( X6 @ ( sK4 @ X6 ) )
= $true )
| ( $true
!= ( X6 @ sK3 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f59,plain,
( spl8_2
| spl8_7 ),
inference(avatar_split_clause,[status(thm)],[f24,f57,f34]) ).
thf(f24,plain,
! [X9: $i] :
( ( $true
= ( sK0 @ sK5 @ X9 ) )
| ( $true
!= ( sK5 @ X9 ) )
| ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f55,plain,
( spl8_3
| spl8_6 ),
inference(avatar_split_clause,[status(thm)],[f29,f52,f39]) ).
thf(f29,plain,
! [X4: $i] :
( ( ( sK2 @ sK1 )
= $true )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X4 ) )
| ( ( sK0
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) )
@ X4 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f50,plain,
( spl8_5
| spl8_2 ),
inference(avatar_split_clause,[status(thm)],[f23,f34,f47]) ).
thf(f23,plain,
( ( $true
= ( sK5 @ sK3 ) )
| ( $true
= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f45,plain,
( spl8_3
| ~ spl8_4 ),
inference(avatar_split_clause,[status(thm)],[f27,f42,f39]) ).
thf(f27,plain,
! [X4: $i] :
( ( ( sK0
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) ) )
@ X4 )
= $true )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ X4 ) )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK1 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
thf(f37,plain,
( spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[status(thm)],[f25,f34,f31]) ).
thf(f25,plain,
! [X6: $i > $o] :
( ( $true
!= ( X6 @ sK3 ) )
| ( $true
!= ( sK0 @ X6 @ ( sK4 @ X6 ) ) )
| ( $true
!= ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ Y0 )
& ( !! @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( sK0 @ Y1 @ Y2 ) ) ) ) )
@ sK3 ) ) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV254^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n006.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 12:42:45 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.33/0.48 ---- Original DTF file ---
% 0.33/0.48 thf(spec,logic,$$dhol).
% 0.33/0.48 %------------------------------------------------------------------------------
% 0.33/0.48 % File : SEV254^5 : TPTP v9.2.1. Released v4.0.0.
% 0.33/0.48 % Domain : Set Theory (Sets of sets)
% 0.33/0.48 % Problem : TPS problem from SETS-OF-SETS-THMS
% 0.33/0.48 % Version : Especial.
% 0.33/0.48 % English :
% 0.33/0.48
% 0.33/0.48 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.33/0.48 % Source : [Bro09]
% 0.33/0.48 % Names : tps_1170 [Bro09]
% 0.33/0.48 % : tps_1171 [Bro09]
% 0.33/0.48
% 0.33/0.48 % Status : Theorem
% 0.33/0.48 % Rating : 0.17 v9.1.0, 0.25 v9.0.0, 0.17 v8.2.0, 0.18 v8.1.0, 0.42 v7.5.0, 0.33 v7.3.0, 0.40 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.38 v6.4.0, 0.43 v6.3.0, 0.50 v6.2.0, 0.33 v6.1.0, 0.50 v6.0.0, 0.33 v5.5.0, 0.40 v5.4.0, 0.50 v4.1.0, 1.00 v4.0.1, 0.67 v4.0.0
% 0.33/0.48 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.33/0.48 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.33/0.48 % Maximal formula atoms : 0 ( 0 avg)
% 0.33/0.48 % Number of connectives : 71 ( 0 ~; 0 |; 9 &; 46 @)
% 0.33/0.48 % ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% 0.33/0.48 % Maximal formula depth : 17 ( 17 avg)
% 0.33/0.48 % Number of types : 2 ( 0 usr)
% 0.33/0.48 % Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% 0.33/0.48 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.33/0.48 % Number of variables : 28 ( 5 ^; 15 !; 8 ?; 28 :)
% 0.33/0.48 % SPC : TH0_THM_NEQ_NAR
% 0.33/0.48
% 0.33/0.48 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.33/0.48 % project in the Department of Mathematical Sciences at Carnegie
% 0.33/0.48 % Mellon University. Distributed under the Creative Commons copyleft
% 0.33/0.48 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.33/0.48 %------------------------------------------------------------------------------
% 0.33/0.48 thf(cTHM2C_pme,conjecture,
% 0.33/0.48 ! [K: ( $i > $o ) > $i > $o] :
% 0.33/0.48 ( ( ! [Xx: $i > $o] :
% 0.33/0.48 ( ! [Xx0: $i] :
% 0.33/0.48 ( ( Xx @ Xx0 )
% 0.33/0.48 => ? [S: $i > $o] :
% 0.33/0.48 ( ! [Xx1: $i] :
% 0.33/0.48 ( ( S @ Xx1 )
% 0.33/0.48 => ( K @ S @ Xx1 ) )
% 0.33/0.48 & ( S @ Xx0 ) ) )
% 0.33/0.48 => ! [Xx0: $i] :
% 0.33/0.48 ( ( K @ Xx @ Xx0 )
% 0.33/0.48 => ( K
% 0.33/0.48 @ ^ [Xx1: $i] :
% 0.33/0.48 ? [S: $i > $o] :
% 0.33/0.48 ( ! [Xx2: $i] :
% 0.33/0.48 ( ( S @ Xx2 )
% 0.33/0.48 => ( K @ S @ Xx2 ) )
% 0.33/0.48 & ( S @ Xx1 ) )
% 0.33/0.48 @ Xx0 ) ) )
% 0.33/0.48 & ( ! [Xx: $i] :
% 0.33/0.48 ( ? [S: $i > $o] :
% 0.33/0.48 ( ! [Xx0: $i] :
% 0.33/0.48 ( ( S @ Xx0 )
% 0.33/0.48 => ( K @ S @ Xx0 ) )
% 0.33/0.48 & ( S @ Xx ) )
% 0.33/0.48 => ( K
% 0.33/0.48 @ ^ [Xx0: $i] :
% 0.33/0.48 ? [S: $i > $o] :
% 0.33/0.48 ( ! [Xx1: $i] :
% 0.33/0.48 ( ( S @ Xx1 )
% 0.33/0.48 => ( K @ S @ Xx1 ) )
% 0.33/0.48 & ( S @ Xx0 ) )
% 0.33/0.48 @ Xx ) )
% 0.33/0.48 => ! [Xx: $i] :
% 0.33/0.48 ( ( K
% 0.33/0.48 @ ^ [Xx0: $i] :
% 0.33/0.48 ? [S: $i > $o] :
% 0.33/0.48 ( ! [Xx1: $i] :
% 0.33/0.48 ( ( S @ Xx1 )
% 0.33/0.48 => ( K @ S @ Xx1 ) )
% 0.33/0.48 & ( S @ Xx0 ) )
% 0.33/0.48 @ Xx )
% 0.33/0.48 => ( K
% 0.33/0.48 @ ( K
% 0.33/0.48 @ ^ [Xx0: $i] :
% 0.33/0.48 ? [S: $i > $o] :
% 0.33/0.48 ( ! [Xx1: $i] :
% 0.33/0.48 ( ( S @ Xx1 )
% 0.33/0.48 => ( K @ S @ Xx1 ) )
% 0.33/0.48 & ( S @ Xx0 ) ) )
% 0.33/0.48 @ Xx ) ) ) )
% 0.33/0.48 => ! [Xx: $i] :
% 0.33/0.48 ( ( K
% 0.33/0.48 @ ^ [Xx0: $i] :
% 0.33/0.48 ? [S: $i > $o] :
% 0.33/0.48 ( ! [Xx1: $i] :
% 0.33/0.48 ( ( S @ Xx1 )
% 0.33/0.48 => ( K @ S @ Xx1 ) )
% 0.33/0.48 & ( S @ Xx0 ) )
% 0.33/0.48 @ Xx )
% 0.33/0.48 <=> ? [S: $i > $o] :
% 0.33/0.48 ( ! [Xx0: $i] :
% 0.33/0.48 ( ( S @ Xx0 )
% 0.33/0.48 => ( K @ S @ Xx0 ) )
% 0.33/0.48 & ( S @ Xx ) ) ) ) ).
% 0.33/0.48
% 0.33/0.48 %------------------------------------------------------------------------------
% 0.33/0.48 ------------------------
% 1.67/1.49 ---- Embedded in THF ---
% 1.67/1.49 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.67/1.49 %%% Generated on Tue Feb 24 12:42:46 EST 2026
% 1.67/1.49 %%% using '$$dhol' embedding, version 1.3.0.
% 1.67/1.49 %%% Logic specification used:
% 1.67/1.49 %%% thf(spec, logic, $$dhol).
% 1.67/1.49
% 1.67/1.49 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.FhpW2Qq8uZ/DTF2DTF17436.p
% See solution above
% 1.67/1.49 ------------------------
% 1.67/1.50 ---- Cleaned THF ---
% 1.67/1.50 thf(cTHM2C_pme,conjecture,
% 1.67/1.50 ! [K: ( $i > $o ) > $i > $o] :
% 1.67/1.50 ( ( ! [Xx: $i > $o] :
% 1.67/1.50 ( ! [Xx0: $i] :
% 1.67/1.50 ( ( Xx @ Xx0 )
% 1.67/1.50 => ? [S: $i > $o] :
% 1.67/1.50 ( ! [Xx1: $i] :
% 1.67/1.50 ( ( S @ Xx1 )
% 1.67/1.50 => ( K @ S @ Xx1 ) )
% 1.67/1.50 & ( S @ Xx0 ) ) )
% 1.67/1.50 => ! [Xx0: $i] :
% 1.67/1.50 ( ( K @ Xx @ Xx0 )
% 1.67/1.50 => ( K
% 1.67/1.50 @ ^ [Xx1: $i] :
% 1.67/1.50 ? [S: $i > $o] :
% 1.67/1.50 ( ! [Xx2: $i] :
% 1.67/1.50 ( ( S @ Xx2 )
% 1.67/1.50 => ( K @ S @ Xx2 ) )
% 1.67/1.50 & ( S @ Xx1 ) )
% 1.67/1.50 @ Xx0 ) ) )
% 1.67/1.50 & ( ! [Xx: $i] :
% 1.67/1.50 ( ? [S: $i > $o] :
% 1.67/1.50 ( ! [Xx0: $i] :
% 1.67/1.50 ( ( S @ Xx0 )
% 1.67/1.50 => ( K @ S @ Xx0 ) )
% 1.67/1.50 & ( S @ Xx ) )
% 1.67/1.50 => ( K
% 1.67/1.50 @ ^ [Xx0: $i] :
% 1.67/1.50 ? [S: $i > $o] :
% 1.67/1.50 ( ! [Xx1: $i] :
% 1.67/1.50 ( ( S @ Xx1 )
% 1.85/1.50 => ( K @ S @ Xx1 ) )
% 1.85/1.50 & ( S @ Xx0 ) )
% 1.85/1.50 @ Xx ) )
% 1.85/1.50 => ! [Xx: $i] :
% 1.85/1.50 ( ( K
% 1.85/1.50 @ ^ [Xx0: $i] :
% 1.85/1.50 ? [S: $i > $o] :
% 1.85/1.50 ( ! [Xx1: $i] :
% 1.85/1.50 ( ( S @ Xx1 )
% 1.85/1.50 => ( K @ S @ Xx1 ) )
% 1.85/1.50 & ( S @ Xx0 ) )
% 1.85/1.50 @ Xx )
% 1.85/1.50 => ( K
% 1.85/1.50 @ ( K
% 1.85/1.50 @ ^ [Xx0: $i] :
% 1.85/1.50 ? [S: $i > $o] :
% 1.85/1.50 ( ! [Xx1: $i] :
% 1.85/1.50 ( ( S @ Xx1 )
% 1.85/1.50 => ( K @ S @ Xx1 ) )
% 1.85/1.50 & ( S @ Xx0 ) ) )
% 1.85/1.50 @ Xx ) ) ) )
% 1.85/1.50 => ! [Xx: $i] :
% 1.85/1.50 ( ( K
% 1.85/1.50 @ ^ [Xx0: $i] :
% 1.85/1.50 ? [S: $i > $o] :
% 1.85/1.50 ( ! [Xx1: $i] :
% 1.85/1.50 ( ( S @ Xx1 )
% 1.85/1.50 => ( K @ S @ Xx1 ) )
% 1.85/1.50 & ( S @ Xx0 ) )
% 1.85/1.50 @ Xx )
% 1.85/1.50 <=> ? [S: $i > $o] :
% 1.85/1.50 ( ! [Xx0: $i] :
% 1.85/1.50 ( ( S @ Xx0 )
% 1.85/1.50 => ( K @ S @ Xx0 ) )
% 1.85/1.50 & ( S @ Xx ) ) ) ) ).
% 1.85/1.50 ------------------------
% 1.85/1.52 % (17533)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/183Mi)
% 1.85/1.52 % (17535)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_17436 for (2999ds/27Mi)
% 1.85/1.52 % (17534)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_17436 for (2999ds/4Mi)
% 1.85/1.52 % (17537)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_17436 for (2999ds/2Mi)
% 1.85/1.52 % (17536)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/2Mi)
% 1.85/1.52 % (17538)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_17436 for (2999ds/275Mi)
% 1.85/1.52 % (17539)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/18Mi)
% 1.85/1.52 % (17537)Instruction limit reached!
% 1.85/1.52 % (17537)------------------------------
% 1.85/1.52 % (17537)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.52 % (17537)Termination reason: Unknown
% 1.85/1.52 % (17537)Termination phase: shuffling
% 1.85/1.52
% 1.85/1.52 % (17537)Memory used [KB]: 895
% 1.85/1.52 % (17537)Time elapsed: 0.002 s
% 1.85/1.52 % (17537)Instructions burned: 2 (million)
% 1.85/1.52 % (17537)------------------------------
% 1.85/1.52 % (17537)------------------------------
% 1.85/1.52 % (17536)Instruction limit reached!
% 1.85/1.52 % (17536)------------------------------
% 1.85/1.52 % (17536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.52 % (17536)Termination reason: Unknown
% 1.85/1.52 % (17536)Termination phase: Preprocessing 3
% 1.85/1.52
% 1.85/1.52 % (17536)Memory used [KB]: 1023
% 1.85/1.52 % (17536)Time elapsed: 0.003 s
% 1.85/1.52 % (17536)Instructions burned: 3 (million)
% 1.85/1.52 % (17536)------------------------------
% 1.85/1.52 % (17536)------------------------------
% 1.85/1.52 % (17534)Instruction limit reached!
% 1.85/1.52 % (17534)------------------------------
% 1.85/1.52 % (17534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.52 % (17534)Termination reason: Unknown
% 1.85/1.52 % (17534)Termination phase: Saturation
% 1.85/1.52
% 1.85/1.52 % (17534)Memory used [KB]: 5500
% 1.85/1.52 % (17534)Time elapsed: 0.004 s
% 1.85/1.52 % (17534)Instructions burned: 5 (million)
% 1.85/1.52 % (17534)------------------------------
% 1.85/1.52 % (17534)------------------------------
% 1.85/1.53 % (17535)Refutation not found, incomplete strategy
% 1.85/1.53 % (17535)------------------------------
% 1.85/1.53 % (17535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.53 % (17535)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.53
% 1.85/1.53
% 1.85/1.53 % (17535)Memory used [KB]: 5628
% 1.85/1.53 % (17535)Time elapsed: 0.011 s
% 1.85/1.53 % (17535)Instructions burned: 15 (million)
% 1.85/1.53 % (17535)------------------------------
% 1.85/1.53 % (17535)------------------------------
% 1.85/1.53 % (17539)Instruction limit reached!
% 1.85/1.53 % (17539)------------------------------
% 1.85/1.53 % (17539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.53 % (17539)Termination reason: Unknown
% 1.85/1.53 % (17539)Termination phase: Saturation
% 1.85/1.53
% 1.85/1.53 % (17539)Memory used [KB]: 5628
% 1.85/1.53 % (17539)Time elapsed: 0.012 s
% 1.85/1.53 % (17539)Instructions burned: 19 (million)
% 1.85/1.53 % (17539)------------------------------
% 1.85/1.53 % (17539)------------------------------
% 1.85/1.53 % (17538)Refutation not found, incomplete strategy
% 1.85/1.53 % (17538)------------------------------
% 1.85/1.53 % (17538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.53 % (17538)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.53
% 1.85/1.53
% 1.85/1.53 % (17538)Memory used [KB]: 5628
% 1.85/1.53 % (17538)Time elapsed: 0.014 s
% 1.85/1.53 % (17538)Instructions burned: 24 (million)
% 1.85/1.53 % (17538)------------------------------
% 1.85/1.53 % (17538)------------------------------
% 1.85/1.53 % (17540)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/3Mi)
% 1.85/1.53 % (17541)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_17436 for (2999ds/37Mi)
% 1.85/1.53 % (17540)Instruction limit reached!
% 1.85/1.53 % (17540)------------------------------
% 1.85/1.53 % (17540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.53 % (17540)Termination reason: Unknown
% 1.85/1.53 % (17540)Termination phase: Preprocessing 3
% 1.85/1.53
% 1.85/1.53 % (17540)Memory used [KB]: 1023
% 1.85/1.53 % (17540)Time elapsed: 0.003 s
% 1.85/1.53 % (17540)Instructions burned: 4 (million)
% 1.85/1.53 % (17540)------------------------------
% 1.85/1.53 % (17540)------------------------------
% 1.85/1.53 % (17542)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_17436 for (2999ds/15Mi)
% 1.85/1.54 % (17543)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_17436 for (2999ds/3Mi)
% 1.85/1.54 % (17544)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_17436 for (2999ds/1041Mi)
% 1.85/1.54 % (17542)Instruction limit reached!
% 1.85/1.54 % (17542)------------------------------
% 1.85/1.54 % (17542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.54 % (17542)Termination reason: Unknown
% 1.85/1.54 % (17542)Termination phase: Saturation
% 1.85/1.54
% 1.85/1.54 % (17542)Memory used [KB]: 5756
% 1.85/1.54 % (17542)Time elapsed: 0.010 s
% 1.85/1.54 % (17542)Instructions burned: 16 (million)
% 1.85/1.54 % (17542)------------------------------
% 1.85/1.54 % (17542)------------------------------
% 1.85/1.54 % (17543)Instruction limit reached!
% 1.85/1.54 % (17543)------------------------------
% 1.85/1.54 % (17543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.54 % (17543)Termination reason: Unknown
% 1.85/1.54 % (17543)Termination phase: Preprocessing 3
% 1.85/1.54
% 1.85/1.54 % (17543)Memory used [KB]: 1023
% 1.85/1.54 % (17543)Time elapsed: 0.003 s
% 1.85/1.54 % (17543)Instructions burned: 3 (million)
% 1.85/1.54 % (17543)------------------------------
% 1.85/1.54 % (17543)------------------------------
% 1.85/1.55 % (17545)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/7Mi)
% 1.85/1.55 % (17545)Instruction limit reached!
% 1.85/1.55 % (17545)------------------------------
% 1.85/1.55 % (17545)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.55 % (17545)Termination reason: Unknown
% 1.85/1.55 % (17545)Termination phase: Saturation
% 1.85/1.55
% 1.85/1.55 % (17545)Memory used [KB]: 1023
% 1.85/1.55 % (17545)Time elapsed: 0.005 s
% 1.85/1.55 % (17545)Instructions burned: 8 (million)
% 1.85/1.55 % (17545)------------------------------
% 1.85/1.55 % (17545)------------------------------
% 1.85/1.55 % (17546)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/16Mi)
% 1.85/1.55 % (17541)Instruction limit reached!
% 1.85/1.55 % (17541)------------------------------
% 1.85/1.55 % (17541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.55 % (17541)Termination reason: Unknown
% 1.85/1.55 % (17541)Termination phase: Saturation
% 1.85/1.55
% 1.85/1.55 % (17541)Memory used [KB]: 5884
% 1.85/1.55 % (17541)Time elapsed: 0.020 s
% 1.85/1.55 % (17541)Instructions burned: 38 (million)
% 1.85/1.55 % (17541)------------------------------
% 1.85/1.55 % (17541)------------------------------
% 1.85/1.56 % (17546)Instruction limit reached!
% 1.85/1.56 % (17546)------------------------------
% 1.85/1.56 % (17546)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.56 % (17546)Termination reason: Unknown
% 1.85/1.56 % (17546)Termination phase: Saturation
% 1.85/1.56
% 1.85/1.56 % (17546)Memory used [KB]: 5628
% 1.85/1.56 % (17546)Time elapsed: 0.010 s
% 1.85/1.56 % (17546)Instructions burned: 16 (million)
% 1.85/1.56 % (17546)------------------------------
% 1.85/1.56 % (17546)------------------------------
% 1.85/1.56 % (17547)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_17436 for (2999ds/3Mi)
% 1.85/1.56 % (17548)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_17436 for (2999ds/3Mi)
% 1.85/1.56 % (17547)Instruction limit reached!
% 1.85/1.56 % (17547)------------------------------
% 1.85/1.56 % (17547)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.56 % (17547)Termination reason: Unknown
% 1.85/1.56 % (17547)Termination phase: Preprocessing 3
% 1.85/1.56
% 1.85/1.56 % (17547)Memory used [KB]: 1023
% 1.85/1.56 % (17547)Time elapsed: 0.003 s
% 1.85/1.56 % (17547)Instructions burned: 3 (million)
% 1.85/1.56 % (17547)------------------------------
% 1.85/1.56 % (17547)------------------------------
% 1.85/1.56 % (17548)Instruction limit reached!
% 1.85/1.56 % (17548)------------------------------
% 1.85/1.56 % (17548)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.56 % (17548)Termination reason: Unknown
% 1.85/1.56 % (17548)Termination phase: Preprocessing 3
% 1.85/1.56
% 1.85/1.56 % (17548)Memory used [KB]: 1023
% 1.85/1.56 % (17548)Time elapsed: 0.003 s
% 1.85/1.56 % (17548)Instructions burned: 4 (million)
% 1.85/1.56 % (17548)------------------------------
% 1.85/1.56 % (17548)------------------------------
% 1.85/1.57 % (17549)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/7Mi)
% 1.85/1.57 % (17550)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/3Mi)
% 1.85/1.57 % (17549)Instruction limit reached!
% 1.85/1.57 % (17549)------------------------------
% 1.85/1.57 % (17549)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.57 % (17549)Termination reason: Unknown
% 1.85/1.57 % (17549)Termination phase: Saturation
% 1.85/1.57
% 1.85/1.57 % (17549)Memory used [KB]: 5500
% 1.85/1.57 % (17549)Time elapsed: 0.005 s
% 1.85/1.57 % (17549)Instructions burned: 7 (million)
% 1.85/1.57 % (17549)------------------------------
% 1.85/1.57 % (17549)------------------------------
% 1.85/1.57 % (17550)Instruction limit reached!
% 1.85/1.57 % (17550)------------------------------
% 1.85/1.57 % (17550)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.57 % (17550)Termination reason: Unknown
% 1.85/1.57 % (17550)Termination phase: shuffling
% 1.85/1.57
% 1.85/1.57 % (17550)Memory used [KB]: 1023
% 1.85/1.57 % (17550)Time elapsed: 0.003 s
% 1.85/1.57 % (17550)Instructions burned: 4 (million)
% 1.85/1.57 % (17550)------------------------------
% 1.85/1.57 % (17550)------------------------------
% 1.85/1.58 % (17551)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/4Mi)
% 1.85/1.58 % (17551)Instruction limit reached!
% 1.85/1.58 % (17551)------------------------------
% 1.85/1.58 % (17551)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.58 % (17551)Termination reason: Unknown
% 1.85/1.58 % (17551)Termination phase: Preprocessing 3
% 1.85/1.58
% 1.85/1.58 % (17551)Memory used [KB]: 1023
% 1.85/1.58 % (17551)Time elapsed: 0.003 s
% 1.85/1.58 % (17551)Instructions burned: 4 (million)
% 1.85/1.58 % (17551)------------------------------
% 1.85/1.58 % (17551)------------------------------
% 1.85/1.58 % (17552)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/18Mi)
% 1.85/1.58 % (17553)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/710Mi)
% 1.85/1.58 % (17554)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/6Mi)
% 1.85/1.59 % (17555)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_17436 for (2999ds/902Mi)
% 1.85/1.59 % (17552)Instruction limit reached!
% 1.85/1.59 % (17552)------------------------------
% 1.85/1.59 % (17552)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.59 % (17552)Termination reason: Unknown
% 1.85/1.59 % (17552)Termination phase: Saturation
% 1.85/1.59
% 1.85/1.59 % (17552)Memory used [KB]: 5628
% 1.85/1.59 % (17552)Time elapsed: 0.011 s
% 1.85/1.59 % (17552)Instructions burned: 18 (million)
% 1.85/1.59 % (17552)------------------------------
% 1.85/1.59 % (17552)------------------------------
% 1.85/1.59 % (17554)Instruction limit reached!
% 1.85/1.59 % (17554)------------------------------
% 1.85/1.59 % (17554)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.59 % (17554)Termination reason: Unknown
% 1.85/1.59 % (17554)Termination phase: Saturation
% 1.85/1.59
% 1.85/1.59 % (17554)Memory used [KB]: 5500
% 1.85/1.59 % (17554)Time elapsed: 0.004 s
% 1.85/1.59 % (17554)Instructions burned: 6 (million)
% 1.85/1.59 % (17554)------------------------------
% 1.85/1.59 % (17554)------------------------------
% 1.85/1.59 % (17556)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_17436 for (2999ds/21Mi)
% 1.85/1.60 % (17533)Instruction limit reached!
% 1.85/1.60 % (17533)------------------------------
% 1.85/1.60 % (17533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.60 % (17533)Termination reason: Unknown
% 1.85/1.60 % (17533)Termination phase: Saturation
% 1.85/1.60
% 1.85/1.60 % (17533)Memory used [KB]: 6652
% 1.85/1.60 % (17533)Time elapsed: 0.082 s
% 1.85/1.60 % (17533)Instructions burned: 183 (million)
% 1.85/1.60 % (17533)------------------------------
% 1.85/1.60 % (17533)------------------------------
% 1.85/1.60 % (17557)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/5Mi)
% 1.85/1.60 % (17558)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_17436 for (2999ds/6Mi)
% 1.85/1.60 % (17556)Instruction limit reached!
% 1.85/1.60 % (17556)------------------------------
% 1.85/1.60 % (17556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.60 % (17556)Termination reason: Unknown
% 1.85/1.60 % (17556)Termination phase: Saturation
% 1.85/1.60
% 1.85/1.60 % (17556)Memory used [KB]: 5756
% 1.85/1.60 % (17556)Time elapsed: 0.013 s
% 1.85/1.60 % (17556)Instructions burned: 22 (million)
% 1.85/1.60 % (17556)------------------------------
% 1.85/1.60 % (17556)------------------------------
% 1.85/1.60 % (17557)Instruction limit reached!
% 1.85/1.60 % (17557)------------------------------
% 1.85/1.60 % (17557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.60 % (17557)Termination reason: Unknown
% 1.85/1.60 % (17557)Termination phase: Saturation
% 1.85/1.61
% 1.85/1.61 % (17557)Memory used [KB]: 5500
% 1.85/1.61 % (17557)Time elapsed: 0.004 s
% 1.85/1.61 % (17557)Instructions burned: 5 (million)
% 1.85/1.61 % (17557)------------------------------
% 1.85/1.61 % (17557)------------------------------
% 1.85/1.61 % (17558)Instruction limit reached!
% 1.85/1.61 % (17558)------------------------------
% 1.85/1.61 % (17558)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.61 % (17558)Termination reason: Unknown
% 1.85/1.61 % (17558)Termination phase: Saturation
% 1.85/1.61
% 1.85/1.61 % (17558)Memory used [KB]: 5500
% 1.85/1.61 % (17558)Time elapsed: 0.005 s
% 1.85/1.61 % (17558)Instructions burned: 8 (million)
% 1.85/1.61 % (17558)------------------------------
% 1.85/1.61 % (17558)------------------------------
% 1.85/1.61 % (17559)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/377Mi)
% 1.85/1.62 % (17544)Refutation not found, incomplete strategy
% 1.85/1.62 % (17544)------------------------------
% 1.85/1.62 % (17544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.62 % (17544)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.62
% 1.85/1.62
% 1.85/1.62 % (17544)Memory used [KB]: 5884
% 1.85/1.62 % (17544)Time elapsed: 0.078 s
% 1.85/1.62 % (17544)Instructions burned: 157 (million)
% 1.85/1.62 % (17544)------------------------------
% 1.85/1.62 % (17544)------------------------------
% 1.85/1.62 % (17560)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_17436 for (2999ds/779Mi)
% 1.85/1.62 % (17561)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_17436 for (2999ds/19Mi)
% 1.85/1.62 % (17562)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_17436 for (2999ds/879Mi)
% 1.85/1.63 % (17561)Instruction limit reached!
% 1.85/1.63 % (17561)------------------------------
% 1.85/1.63 % (17561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.63 % (17561)Termination reason: Unknown
% 1.85/1.63 % (17561)Termination phase: Saturation
% 1.85/1.63
% 1.85/1.63 % (17561)Memory used [KB]: 5500
% 1.85/1.63 % (17561)Time elapsed: 0.011 s
% 1.85/1.63 % (17561)Instructions burned: 20 (million)
% 1.85/1.63 % (17561)------------------------------
% 1.85/1.63 % (17561)------------------------------
% 1.85/1.64 % (17563)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_17436 for (2998ds/17Mi)
% 1.85/1.65 % (17563)Instruction limit reached!
% 1.85/1.65 % (17563)------------------------------
% 1.85/1.65 % (17563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.65 % (17563)Termination reason: Unknown
% 1.85/1.65 % (17563)Termination phase: Saturation
% 1.85/1.65
% 1.85/1.65 % (17563)Memory used [KB]: 5756
% 1.85/1.65 % (17563)Time elapsed: 0.011 s
% 1.85/1.65 % (17563)Instructions burned: 18 (million)
% 1.85/1.65 % (17563)------------------------------
% 1.85/1.65 % (17563)------------------------------
% 1.85/1.65 % (17564)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_17436 for (2998ds/3Mi)
% 1.85/1.65 % (17564)Instruction limit reached!
% 1.85/1.65 % (17564)------------------------------
% 1.85/1.65 % (17564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.65 % (17564)Termination reason: Unknown
% 1.85/1.65 % (17564)Termination phase: Preprocessing 3
% 1.85/1.65
% 1.85/1.65 % (17564)Memory used [KB]: 1023
% 1.85/1.65 % (17564)Time elapsed: 0.003 s
% 1.85/1.65 % (17564)Instructions burned: 3 (million)
% 1.85/1.65 % (17564)------------------------------
% 1.85/1.65 % (17564)------------------------------
% 1.85/1.65 % (17562)Refutation not found, incomplete strategy
% 1.85/1.65 % (17562)------------------------------
% 1.85/1.65 % (17562)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.65 % (17562)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.65
% 1.85/1.65
% 1.85/1.65 % (17562)Memory used [KB]: 5756
% 1.85/1.65 % (17562)Time elapsed: 0.031 s
% 1.85/1.65 % (17562)Instructions burned: 61 (million)
% 1.85/1.65 % (17562)------------------------------
% 1.85/1.65 % (17562)------------------------------
% 1.85/1.66 % (17565)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_17436 for (2998ds/30Mi)
% 1.85/1.66 % (17566)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_17436 for (2998ds/127Mi)
% 1.85/1.67 % (17567)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_17436 for (2998ds/100Mi)
% 1.85/1.68 % (17565)Instruction limit reached!
% 1.85/1.68 % (17565)------------------------------
% 1.85/1.68 % (17565)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.68 % (17565)Termination reason: Unknown
% 1.85/1.68 % (17565)Termination phase: Saturation
% 1.85/1.68
% 1.85/1.68 % (17565)Memory used [KB]: 5756
% 1.85/1.68 % (17565)Time elapsed: 0.038 s
% 1.85/1.68 % (17565)Instructions burned: 30 (million)
% 1.85/1.68 % (17565)------------------------------
% 1.85/1.68 % (17565)------------------------------
% 1.85/1.69 % (17568)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_17436 for (2998ds/3Mi)
% 1.85/1.70 % (17568)Instruction limit reached!
% 1.85/1.70 % (17568)------------------------------
% 1.85/1.70 % (17568)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.70 % (17568)Termination reason: Unknown
% 1.85/1.70 % (17568)Termination phase: Property scanning
% 1.85/1.70
% 1.85/1.70 % (17568)Memory used [KB]: 1023
% 1.85/1.70 % (17568)Time elapsed: 0.003 s
% 1.85/1.70 % (17568)Instructions burned: 3 (million)
% 1.85/1.70 % (17568)------------------------------
% 1.85/1.70 % (17568)------------------------------
% 1.85/1.71 % (17567)Refutation not found, incomplete strategy
% 1.85/1.71 % (17567)------------------------------
% 1.85/1.71 % (17567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.71 % (17567)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.71
% 1.85/1.71
% 1.85/1.71 % (17567)Memory used [KB]: 5756
% 1.85/1.71 % (17567)Time elapsed: 0.063 s
% 1.85/1.71 % (17567)Instructions burned: 83 (million)
% 1.85/1.71 % (17567)------------------------------
% 1.85/1.71 % (17567)------------------------------
% 1.85/1.71 % (17569)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_17436 for (2998ds/20Mi)
% 1.85/1.72 % (17569)Refutation not found, incomplete strategy
% 1.85/1.72 % (17569)------------------------------
% 1.85/1.72 % (17569)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.72 % (17569)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.72
% 1.85/1.72
% 1.85/1.72 % (17569)Memory used [KB]: 5628
% 1.85/1.72 % (17569)Time elapsed: 0.010 s
% 1.85/1.72 % (17569)Instructions burned: 16 (million)
% 1.85/1.72 % (17569)------------------------------
% 1.85/1.72 % (17569)------------------------------
% 1.85/1.73 % (17570)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_17436 for (2997ds/86Mi)
% 1.85/1.73 % (17566)Instruction limit reached!
% 1.85/1.73 % (17566)------------------------------
% 1.85/1.73 % (17566)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.73 % (17566)Termination reason: Unknown
% 1.85/1.73 % (17566)Termination phase: Saturation
% 1.85/1.73
% 1.85/1.73 % (17566)Memory used [KB]: 6140
% 1.85/1.73 % (17566)Time elapsed: 0.087 s
% 1.85/1.73 % (17566)Instructions burned: 128 (million)
% 1.85/1.73 % (17566)------------------------------
% 1.85/1.73 % (17566)------------------------------
% 1.85/1.74 % (17559)Refutation not found, incomplete strategy
% 1.85/1.74 % (17559)------------------------------
% 1.85/1.74 % (17559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.74 % (17559)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.74
% 1.85/1.74
% 1.85/1.74 % (17559)Memory used [KB]: 6140
% 1.85/1.74 % (17559)Time elapsed: 0.125 s
% 1.85/1.74 % (17559)Instructions burned: 262 (million)
% 1.85/1.74 % (17559)------------------------------
% 1.85/1.74 % (17559)------------------------------
% 1.85/1.74 % (17571)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_17436 for (2997ds/107Mi)
% 1.85/1.74 % (17572)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_17436 for (2997ds/39Mi)
% 1.85/1.75 % (17573)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_17436 for (2997ds/448Mi)
% 1.85/1.76 % (17572)Instruction limit reached!
% 1.85/1.76 % (17572)------------------------------
% 1.85/1.76 % (17572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.76 % (17572)Termination reason: Unknown
% 1.85/1.76 % (17572)Termination phase: Saturation
% 1.85/1.76
% 1.85/1.76 % (17572)Memory used [KB]: 5884
% 1.85/1.76 % (17572)Time elapsed: 0.020 s
% 1.85/1.76 % (17572)Instructions burned: 40 (million)
% 1.85/1.76 % (17572)------------------------------
% 1.85/1.76 % (17572)------------------------------
% 1.85/1.77 % (17570)Instruction limit reached!
% 1.85/1.77 % (17570)------------------------------
% 1.85/1.77 % (17570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.77 % (17570)Termination reason: Unknown
% 1.85/1.77 % (17570)Termination phase: Saturation
% 1.85/1.77
% 1.85/1.77 % (17570)Memory used [KB]: 6012
% 1.85/1.77 % (17570)Time elapsed: 0.044 s
% 1.85/1.77 % (17570)Instructions burned: 86 (million)
% 1.85/1.77 % (17570)------------------------------
% 1.85/1.77 % (17570)------------------------------
% 1.85/1.78 % (17574)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_17436 for (2997ds/46Mi)
% 1.85/1.79 % (17575)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_17436 for (2997ds/98Mi)
% 1.85/1.79 % (17571)Instruction limit reached!
% 1.85/1.79 % (17571)------------------------------
% 1.85/1.79 % (17571)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.79 % (17571)Termination reason: Unknown
% 1.85/1.79 % (17571)Termination phase: Saturation
% 1.85/1.79
% 1.85/1.79 % (17571)Memory used [KB]: 6012
% 1.85/1.79 % (17571)Time elapsed: 0.057 s
% 1.85/1.79 % (17571)Instructions burned: 108 (million)
% 1.85/1.79 % (17571)------------------------------
% 1.85/1.79 % (17571)------------------------------
% 1.85/1.80 % (17574)Instruction limit reached!
% 1.85/1.80 % (17574)------------------------------
% 1.85/1.80 % (17574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.81 % (17574)Termination reason: Unknown
% 1.85/1.81 % (17574)Termination phase: Saturation
% 1.85/1.81
% 1.85/1.81 % (17574)Memory used [KB]: 5884
% 1.85/1.81 % (17574)Time elapsed: 0.027 s
% 1.85/1.81 % (17574)Instructions burned: 46 (million)
% 1.85/1.81 % (17574)------------------------------
% 1.85/1.81 % (17574)------------------------------
% 1.85/1.81 % (17576)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_17436 for (2997ds/507Mi)
% 1.85/1.82 % (17577)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_17436 for (2996ds/149Mi)
% 1.85/1.83 % (17576)Refutation not found, incomplete strategy
% 1.85/1.83 % (17576)------------------------------
% 1.85/1.83 % (17576)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.83 % (17576)Termination reason: Refutation not found, incomplete strategy
% 1.85/1.83
% 1.85/1.83
% 1.85/1.83 % (17576)Memory used [KB]: 5628
% 1.85/1.83 % (17576)Time elapsed: 0.024 s
% 1.85/1.83 % (17576)Instructions burned: 44 (million)
% 1.85/1.83 % (17576)------------------------------
% 1.85/1.83 % (17576)------------------------------
% 1.85/1.83 % (17575)Instruction limit reached!
% 1.85/1.83 % (17575)------------------------------
% 1.85/1.83 % (17575)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.83 % (17575)Termination reason: Unknown
% 1.85/1.83 % (17575)Termination phase: Saturation
% 1.85/1.83
% 1.85/1.83 % (17575)Memory used [KB]: 1151
% 1.85/1.83 % (17575)Time elapsed: 0.049 s
% 1.85/1.83 % (17575)Instructions burned: 98 (million)
% 1.85/1.83 % (17575)------------------------------
% 1.85/1.83 % (17575)------------------------------
% 1.85/1.85 % (17578)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_17436 for (2996ds/39Mi)
% 1.85/1.85 % (17579)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_17436 for (2996ds/6Mi)
% 1.85/1.85 % (17579)Instruction limit reached!
% 1.85/1.85 % (17579)------------------------------
% 1.85/1.85 % (17579)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.85 % (17579)Termination reason: Unknown
% 1.85/1.85 % (17579)Termination phase: Saturation
% 1.85/1.85
% 1.85/1.85 % (17579)Memory used [KB]: 9978
% 1.85/1.85 % (17579)Time elapsed: 0.005 s
% 1.85/1.85 % (17579)Instructions burned: 6 (million)
% 1.85/1.85 % (17579)------------------------------
% 1.85/1.85 % (17579)------------------------------
% 1.85/1.87 % (17578)Instruction limit reached!
% 1.85/1.87 % (17578)------------------------------
% 1.85/1.87 % (17578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.87 % (17578)Termination reason: Unknown
% 1.85/1.87 % (17578)Termination phase: Saturation
% 1.85/1.87
% 1.85/1.87 % (17578)Memory used [KB]: 5756
% 1.85/1.87 % (17578)Time elapsed: 0.022 s
% 1.85/1.87 % (17578)Instructions burned: 40 (million)
% 1.85/1.87 % (17578)------------------------------
% 1.85/1.87 % (17578)------------------------------
% 1.85/1.87 % (17580)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_17436 for (2996ds/1087Mi)
% 1.85/1.88 % (17581)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_17436 for (2996ds/47Mi)
% 1.85/1.90 % (17577)Instruction limit reached!
% 1.85/1.90 % (17577)------------------------------
% 1.85/1.90 % (17577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.90 % (17577)Termination reason: Unknown
% 1.85/1.90 % (17577)Termination phase: Saturation
% 1.85/1.90
% 1.85/1.90 % (17577)Memory used [KB]: 6012
% 1.85/1.90 % (17577)Time elapsed: 0.081 s
% 1.85/1.90 % (17577)Instructions burned: 150 (million)
% 1.85/1.90 % (17577)------------------------------
% 1.85/1.90 % (17577)------------------------------
% 1.85/1.91 % (17581)Instruction limit reached!
% 1.85/1.91 % (17581)------------------------------
% 1.85/1.91 % (17581)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.91 % (17581)Termination reason: Unknown
% 1.85/1.91 % (17581)Termination phase: Saturation
% 1.85/1.91
% 1.85/1.91 % (17581)Memory used [KB]: 5756
% 1.85/1.91 % (17581)Time elapsed: 0.026 s
% 1.85/1.91 % (17581)Instructions burned: 47 (million)
% 1.85/1.91 % (17581)------------------------------
% 1.85/1.91 % (17581)------------------------------
% 1.85/1.92 % (17582)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_17436 for (2996ds/44Mi)
% 1.85/1.93 % (17583)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_17436 for (2995ds/432Mi)
% 1.85/1.93 % (17553)Refutation not found, non-redundant clauses discarded% (17553)------------------------------
% 1.85/1.93 % (17553)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.93 % (17553)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.85/1.93
% 1.85/1.93 % (17553)Memory used [KB]: 7675
% 1.85/1.93 % (17553)Time elapsed: 0.351 s
% 1.85/1.93 % (17553)Instructions burned: 696 (million)
% 1.85/1.93 % (17553)------------------------------
% 1.85/1.93 % (17553)------------------------------
% 1.85/1.94 % (17582)Instruction limit reached!
% 1.85/1.94 % (17582)------------------------------
% 1.85/1.94 % (17582)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.94 % (17582)Termination reason: Unknown
% 1.85/1.94 % (17582)Termination phase: Saturation
% 1.85/1.94
% 1.85/1.94 % (17582)Memory used [KB]: 1151
% 1.85/1.94 % (17582)Time elapsed: 0.024 s
% 1.85/1.94 % (17582)Instructions burned: 45 (million)
% 1.85/1.94 % (17582)------------------------------
% 1.85/1.94 % (17582)------------------------------
% 1.85/1.94 % (17584)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_17436 for (2995ds/62Mi)
% 1.85/1.96 % (17585)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_17436 for (2995ds/31Mi)
% 1.85/1.97 % (17573)Instruction limit reached!
% 1.85/1.97 % (17573)------------------------------
% 1.85/1.97 % (17573)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.97 % (17573)Termination reason: Unknown
% 1.85/1.97 % (17573)Termination phase: Saturation
% 1.85/1.97
% 1.85/1.97 % (17573)Memory used [KB]: 6396
% 1.85/1.97 % (17573)Time elapsed: 0.217 s
% 1.85/1.97 % (17573)Instructions burned: 448 (million)
% 1.85/1.97 % (17573)------------------------------
% 1.85/1.97 % (17573)------------------------------
% 1.85/1.97 % (17585)Instruction limit reached!
% 1.85/1.97 % (17585)------------------------------
% 1.85/1.97 % (17585)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.97 % (17585)Termination reason: Unknown
% 1.85/1.97 % (17585)Termination phase: Saturation
% 1.85/1.97
% 1.85/1.97 % (17585)Memory used [KB]: 5756
% 1.85/1.97 % (17585)Time elapsed: 0.018 s
% 1.85/1.97 % (17585)Instructions burned: 31 (million)
% 1.85/1.97 % (17585)------------------------------
% 1.85/1.97 % (17585)------------------------------
% 1.85/1.97 % (17584)Instruction limit reached!
% 1.85/1.97 % (17584)------------------------------
% 1.85/1.97 % (17584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.97 % (17584)Termination reason: Unknown
% 1.85/1.97 % (17584)Termination phase: Saturation
% 1.85/1.97
% 1.85/1.97 % (17584)Memory used [KB]: 5756
% 1.85/1.97 % (17584)Time elapsed: 0.031 s
% 1.85/1.97 % (17584)Instructions burned: 62 (million)
% 1.85/1.97 % (17584)------------------------------
% 1.85/1.97 % (17584)------------------------------
% 1.85/1.98 % (17560)Instruction limit reached!
% 1.85/1.98 % (17560)------------------------------
% 1.85/1.98 % (17560)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/1.98 % (17560)Termination reason: Unknown
% 1.85/1.98 % (17560)Termination phase: Saturation
% 1.85/1.98
% 1.85/1.98 % (17560)Memory used [KB]: 7164
% 1.85/1.98 % (17560)Time elapsed: 0.362 s
% 1.85/1.98 % (17560)Instructions burned: 779 (million)
% 1.85/1.98 % (17560)------------------------------
% 1.85/1.98 % (17560)------------------------------
% 1.85/1.99 % (17586)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_17436 for (2995ds/96Mi)
% 1.85/1.99 % (17587)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_17436 for (2995ds/453Mi)
% 1.85/1.99 % (17588)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_17436 for (2995ds/71Mi)
% 1.85/2.00 % (17589)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_17436 for (2995ds/83Mi)
% 1.85/2.01 % (17555)Instruction limit reached!
% 1.85/2.01 % (17555)------------------------------
% 1.85/2.01 % (17555)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/2.01 % (17555)Termination reason: Unknown
% 1.85/2.01 % (17555)Termination phase: Saturation
% 1.85/2.01
% 1.85/2.01 % (17555)Memory used [KB]: 7803
% 1.85/2.01 % (17555)Time elapsed: 0.422 s
% 1.85/2.01 % (17555)Instructions burned: 902 (million)
% 1.85/2.01 % (17555)------------------------------
% 1.85/2.01 % (17555)------------------------------
% 1.85/2.02 % (17590)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_17436 for (2995ds/11Mi)
% 1.85/2.03 % (17588)Instruction limit reached!
% 1.85/2.03 % (17588)------------------------------
% 1.85/2.03 % (17588)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.85/2.03 % (17588)Termination reason: Unknown
% 1.85/2.03 % (17588)Termination phase: Saturation
% 1.85/2.03
% 1.85/2.03 % (17588)Memory used [KB]: 5756
% 1.85/2.03 % (17588)Time elapsed: 0.038 s
% 1.85/2.03 % (17588)Instructions burned: 72 (million)
% 1.85/2.03 % (17588)------------------------------
% 1.85/2.03 % (17588)------------------------------
% 5.44/2.03 % (17590)Instruction limit reached!
% 5.44/2.03 % (17590)------------------------------
% 5.44/2.03 % (17590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.03 % (17590)Termination reason: Unknown
% 5.44/2.03 % (17590)Termination phase: Saturation
% 5.44/2.03
% 5.44/2.03 % (17590)Memory used [KB]: 5500
% 5.44/2.03 % (17590)Time elapsed: 0.028 s
% 5.44/2.03 % (17590)Instructions burned: 11 (million)
% 5.44/2.03 % (17590)------------------------------
% 5.44/2.03 % (17590)------------------------------
% 5.44/2.04 % (17586)Instruction limit reached!
% 5.44/2.04 % (17586)------------------------------
% 5.44/2.04 % (17586)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.04 % (17586)Termination reason: Unknown
% 5.44/2.04 % (17586)Termination phase: Saturation
% 5.44/2.04
% 5.44/2.04 % (17586)Memory used [KB]: 6012
% 5.44/2.04 % (17586)Time elapsed: 0.053 s
% 5.44/2.04 % (17586)Instructions burned: 97 (million)
% 5.44/2.04 % (17586)------------------------------
% 5.44/2.04 % (17586)------------------------------
% 5.44/2.04 % (17589)Instruction limit reached!
% 5.44/2.04 % (17589)------------------------------
% 5.44/2.04 % (17589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.04 % (17589)Termination reason: Unknown
% 5.44/2.04 % (17589)Termination phase: Saturation
% 5.44/2.04
% 5.44/2.04 % (17589)Memory used [KB]: 5884
% 5.44/2.04 % (17589)Time elapsed: 0.044 s
% 5.44/2.04 % (17589)Instructions burned: 83 (million)
% 5.44/2.04 % (17589)------------------------------
% 5.44/2.04 % (17589)------------------------------
% 5.44/2.04 % (17591)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_17436 for (2994ds/41Mi)
% 5.44/2.04 % (17592)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_17436 for (2994ds/6Mi)
% 5.44/2.05 % (17592)Instruction limit reached!
% 5.44/2.05 % (17592)------------------------------
% 5.44/2.05 % (17592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.05 % (17592)Termination reason: Unknown
% 5.44/2.05 % (17592)Termination phase: Saturation
% 5.44/2.05
% 5.44/2.05 % (17592)Memory used [KB]: 5500
% 5.44/2.05 % (17592)Time elapsed: 0.005 s
% 5.44/2.05 % (17592)Instructions burned: 7 (million)
% 5.44/2.05 % (17592)------------------------------
% 5.44/2.05 % (17592)------------------------------
% 5.44/2.05 % (17594)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_17436 for (2994ds/150Mi)
% 5.44/2.06 % (17595)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_17436 for (2994ds/343Mi)
% 5.44/2.06 % (17591)Instruction limit reached!
% 5.44/2.06 % (17591)------------------------------
% 5.44/2.06 % (17591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.06 % (17591)Termination reason: Unknown
% 5.44/2.06 % (17591)Termination phase: Saturation
% 5.44/2.06
% 5.44/2.06 % (17591)Memory used [KB]: 5628
% 5.44/2.06 % (17591)Time elapsed: 0.043 s
% 5.44/2.06 % (17591)Instructions burned: 41 (million)
% 5.44/2.06 % (17591)------------------------------
% 5.44/2.06 % (17591)------------------------------
% 5.44/2.06 % (17596)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_17436 for (2994ds/109Mi)
% 5.44/2.08 % (17595)Refutation not found, incomplete strategy
% 5.44/2.08 % (17595)------------------------------
% 5.44/2.08 % (17595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.08 % (17595)Termination reason: Refutation not found, incomplete strategy
% 5.44/2.08
% 5.44/2.08
% 5.44/2.08 % (17595)Memory used [KB]: 5756
% 5.44/2.08 % (17595)Time elapsed: 0.022 s
% 5.44/2.08 % (17595)Instructions burned: 42 (million)
% 5.44/2.08 % (17595)------------------------------
% 5.44/2.08 % (17595)------------------------------
% 5.44/2.08 % (17597)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_17436 for (2994ds/253Mi)
% 5.44/2.09 % (17598)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_17436 for (2994ds/140Mi)
% 5.44/2.10 % (17598)Refutation not found, incomplete strategy
% 5.44/2.10 % (17598)------------------------------
% 5.44/2.10 % (17598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.10 % (17598)Termination reason: Refutation not found, incomplete strategy
% 5.44/2.10
% 5.44/2.10
% 5.44/2.10 % (17598)Memory used [KB]: 5628
% 5.44/2.10 % (17598)Time elapsed: 0.008 s
% 5.44/2.10 % (17598)Instructions burned: 12 (million)
% 5.44/2.10 % (17598)------------------------------
% 5.44/2.10 % (17598)------------------------------
% 5.44/2.12 % (17599)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_17436 for (2993ds/614Mi)
% 5.44/2.12 % (17596)Instruction limit reached!
% 5.44/2.12 % (17596)------------------------------
% 5.44/2.12 % (17596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.12 % (17596)Termination reason: Unknown
% 5.44/2.12 % (17596)Termination phase: Saturation
% 5.44/2.12
% 5.44/2.12 % (17596)Memory used [KB]: 6140
% 5.44/2.12 % (17596)Time elapsed: 0.055 s
% 5.44/2.12 % (17596)Instructions burned: 110 (million)
% 5.44/2.12 % (17596)------------------------------
% 5.44/2.12 % (17596)------------------------------
% 5.44/2.13 % (17599)Refutation not found, incomplete strategy
% 5.44/2.13 % (17599)------------------------------
% 5.44/2.13 % (17599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.13 % (17599)Termination reason: Refutation not found, incomplete strategy
% 5.44/2.13
% 5.44/2.13
% 5.44/2.13 % (17599)Memory used [KB]: 5756
% 5.44/2.13 % (17599)Time elapsed: 0.011 s
% 5.44/2.13 % (17599)Instructions burned: 14 (million)
% 5.44/2.13 % (17599)------------------------------
% 5.44/2.13 % (17599)------------------------------
% 6.02/2.13 % (17594)Instruction limit reached!
% 6.02/2.13 % (17594)------------------------------
% 6.02/2.13 % (17594)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.02/2.13 % (17594)Termination reason: Unknown
% 6.02/2.13 % (17594)Termination phase: Saturation
% 6.02/2.13
% 6.02/2.13 % (17594)Memory used [KB]: 6396
% 6.02/2.13 % (17594)Time elapsed: 0.077 s
% 6.02/2.13 % (17594)Instructions burned: 150 (million)
% 6.02/2.13 % (17594)------------------------------
% 6.02/2.13 % (17594)------------------------------
% 6.02/2.13 % (17583)Instruction limit reached!
% 6.02/2.13 % (17583)------------------------------
% 6.02/2.13 % (17583)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.02/2.13 % (17583)Termination reason: Unknown
% 6.02/2.13 % (17583)Termination phase: Saturation
% 6.02/2.13
% 6.02/2.13 % (17583)Memory used [KB]: 2430
% 6.02/2.13 % (17583)Time elapsed: 0.206 s
% 6.02/2.13 % (17583)Instructions burned: 432 (million)
% 6.02/2.13 % (17583)------------------------------
% 6.02/2.13 % (17583)------------------------------
% 6.02/2.13 % (17600)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_17436 for (2993ds/202Mi)
% 6.02/2.14 % (17601)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_17436 for (2993ds/339Mi)
% 6.02/2.14 % (17602)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_17436 for (2993ds/283Mi)
% 6.02/2.15 % (17603)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_17436 for (2993ds/134Mi)
% 6.28/2.20 % (17587)Instruction limit reached!
% 6.28/2.20 % (17587)------------------------------
% 6.28/2.20 % (17587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.28/2.20 % (17587)Termination reason: Unknown
% 6.28/2.20 % (17587)Termination phase: Saturation
% 6.28/2.20
% 6.28/2.20 % (17587)Memory used [KB]: 6012
% 6.28/2.20 % (17587)Time elapsed: 0.211 s
% 6.28/2.20 % (17587)Instructions burned: 454 (million)
% 6.28/2.20 % (17587)------------------------------
% 6.28/2.20 % (17587)------------------------------
% 6.28/2.20 % (17597)Instruction limit reached!
% 6.28/2.20 % (17597)------------------------------
% 6.28/2.20 % (17597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.28/2.20 % (17597)Termination reason: Unknown
% 6.28/2.20 % (17597)Termination phase: Saturation
% 6.28/2.20
% 6.28/2.20 % (17597)Memory used [KB]: 6268
% 6.28/2.20 % (17597)Time elapsed: 0.127 s
% 6.28/2.20 % (17597)Instructions burned: 253 (million)
% 6.28/2.20 % (17597)------------------------------
% 6.28/2.20 % (17597)------------------------------
% 6.28/2.21 % (17603)Instruction limit reached!
% 6.28/2.21 % (17603)------------------------------
% 6.28/2.21 % (17603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.28/2.21 % (17603)Termination reason: Unknown
% 6.28/2.21 % (17603)Termination phase: Saturation
% 6.28/2.21
% 6.28/2.21 % (17603)Memory used [KB]: 6268
% 6.28/2.21 % (17603)Time elapsed: 0.070 s
% 6.28/2.21 % (17603)Instructions burned: 135 (million)
% 6.28/2.21 % (17603)------------------------------
% 6.28/2.21 % (17603)------------------------------
% 6.28/2.22 % (17605)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_17436 for (2992ds/192Mi)
% 6.28/2.22 % (17604)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_17436 for (2993ds/298Mi)
% 6.28/2.23 % (17606)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_17436 for (2992ds/258Mi)
% 6.28/2.24 % (17600)Instruction limit reached!
% 6.28/2.24 % (17600)------------------------------
% 6.28/2.24 % (17600)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.28/2.24 % (17600)Termination reason: Unknown
% 6.28/2.24 % (17600)Termination phase: Saturation
% 6.28/2.24
% 6.28/2.24 % (17600)Memory used [KB]: 6140
% 6.28/2.24 % (17600)Time elapsed: 0.104 s
% 6.28/2.24 % (17600)Instructions burned: 202 (million)
% 6.28/2.24 % (17600)------------------------------
% 6.28/2.24 % (17600)------------------------------
% 6.28/2.25 % (17607)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_17436 for (2992ds/90Mi)
% 6.28/2.25 % (17602)Instruction limit reached!
% 6.28/2.25 % (17602)------------------------------
% 6.28/2.25 % (17602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.28/2.25 % (17602)Termination reason: Unknown
% 6.28/2.25 % (17602)Termination phase: Saturation
% 6.28/2.25
% 6.28/2.25 % (17602)Memory used [KB]: 7547
% 6.28/2.25 % (17602)Time elapsed: 0.110 s
% 6.28/2.25 % (17602)Instructions burned: 283 (million)
% 6.28/2.25 % (17602)------------------------------
% 6.28/2.25 % (17602)------------------------------
% 6.28/2.27 % (17608)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_17436 for (2992ds/231Mi)
% 6.86/2.30 % (17607)Instruction limit reached!
% 6.86/2.30 % (17607)------------------------------
% 6.86/2.30 % (17607)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.30 % (17607)Termination reason: Unknown
% 6.86/2.30 % (17607)Termination phase: Saturation
% 6.86/2.30
% 6.86/2.30 % (17607)Memory used [KB]: 6012
% 6.86/2.30 % (17607)Time elapsed: 0.051 s
% 6.86/2.30 % (17607)Instructions burned: 90 (million)
% 6.86/2.30 % (17607)------------------------------
% 6.86/2.30 % (17607)------------------------------
% 6.86/2.31 % (17605)Instruction limit reached!
% 6.86/2.31 % (17605)------------------------------
% 6.86/2.31 % (17605)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.31 % (17605)Termination reason: Unknown
% 6.86/2.31 % (17605)Termination phase: Saturation
% 6.86/2.31
% 6.86/2.31 % (17605)Memory used [KB]: 6780
% 6.86/2.31 % (17605)Time elapsed: 0.089 s
% 6.86/2.31 % (17605)Instructions burned: 192 (million)
% 6.86/2.31 % (17605)------------------------------
% 6.86/2.31 % (17605)------------------------------
% 6.86/2.31 % (17601)Instruction limit reached!
% 6.86/2.31 % (17601)------------------------------
% 6.86/2.31 % (17601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.31 % (17601)Termination reason: Unknown
% 6.86/2.31 % (17601)Termination phase: Saturation
% 6.86/2.31
% 6.86/2.31 % (17601)Memory used [KB]: 6780
% 6.86/2.31 % (17601)Time elapsed: 0.169 s
% 6.86/2.31 % (17601)Instructions burned: 340 (million)
% 6.86/2.31 % (17601)------------------------------
% 6.86/2.31 % (17601)------------------------------
% 6.86/2.32 % (17609)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_17436 for (2992ds/458Mi)
% 6.86/2.32 % (17610)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_17436 for (2991ds/31Mi)
% 6.86/2.33 % (17611)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_17436 for (2991ds/297Mi)
% 6.86/2.34 % (17610)Instruction limit reached!
% 6.86/2.34 % (17610)------------------------------
% 6.86/2.34 % (17610)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.34 % (17610)Termination reason: Unknown
% 6.86/2.34 % (17610)Termination phase: Saturation
% 6.86/2.34
% 6.86/2.34 % (17610)Memory used [KB]: 5756
% 6.86/2.34 % (17610)Time elapsed: 0.018 s
% 6.86/2.34 % (17610)Instructions burned: 32 (million)
% 6.86/2.34 % (17610)------------------------------
% 6.86/2.34 % (17610)------------------------------
% 6.86/2.36 % (17612)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_17436 for (2991ds/987Mi)
% 6.86/2.36 % (17580)Refutation not found, incomplete strategy
% 6.86/2.36 % (17580)------------------------------
% 6.86/2.36 % (17580)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.36 % (17580)Termination reason: Refutation not found, incomplete strategy
% 6.86/2.36
% 6.86/2.36
% 6.86/2.36 % (17580)Memory used [KB]: 7164
% 6.86/2.36 % (17580)Time elapsed: 0.491 s
% 6.86/2.36 % (17580)Instructions burned: 1021 (million)
% 6.86/2.36 % (17580)------------------------------
% 6.86/2.36 % (17580)------------------------------
% 6.86/2.36 % (17606)Instruction limit reached!
% 6.86/2.36 % (17606)------------------------------
% 6.86/2.36 % (17606)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.36 % (17606)Termination reason: Unknown
% 6.86/2.36 % (17606)Termination phase: Saturation
% 6.86/2.36
% 6.86/2.36 % (17606)Memory used [KB]: 6396
% 6.86/2.36 % (17606)Time elapsed: 0.134 s
% 6.86/2.36 % (17606)Instructions burned: 260 (million)
% 6.86/2.36 % (17606)------------------------------
% 6.86/2.36 % (17606)------------------------------
% 6.86/2.37 % (17609)Refutation not found, incomplete strategy
% 6.86/2.37 % (17609)------------------------------
% 6.86/2.37 % (17609)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.37 % (17609)Termination reason: Refutation not found, incomplete strategy
% 6.86/2.37
% 6.86/2.37
% 6.86/2.37 % (17609)Memory used [KB]: 5756
% 6.86/2.37 % (17609)Time elapsed: 0.048 s
% 6.86/2.37 % (17609)Instructions burned: 95 (million)
% 6.86/2.37 % (17609)------------------------------
% 6.86/2.37 % (17609)------------------------------
% 6.86/2.37 % (17608)Instruction limit reached!
% 6.86/2.37 % (17608)------------------------------
% 6.86/2.37 % (17608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.37 % (17608)Termination reason: Unknown
% 6.86/2.37 % (17608)Termination phase: Saturation
% 6.86/2.37
% 6.86/2.37 % (17608)Memory used [KB]: 5628
% 6.86/2.37 % (17608)Time elapsed: 0.099 s
% 6.86/2.37 % (17608)Instructions burned: 233 (million)
% 6.86/2.37 % (17608)------------------------------
% 6.86/2.37 % (17608)------------------------------
% 6.86/2.37 % (17604)Instruction limit reached!
% 6.86/2.37 % (17604)------------------------------
% 6.86/2.37 % (17604)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.37 % (17604)Termination reason: Unknown
% 6.86/2.37 % (17604)Termination phase: Saturation
% 6.86/2.37
% 6.86/2.37 % (17604)Memory used [KB]: 6524
% 6.86/2.37 % (17604)Time elapsed: 0.151 s
% 6.86/2.37 % (17604)Instructions burned: 299 (million)
% 6.86/2.37 % (17604)------------------------------
% 6.86/2.37 % (17604)------------------------------
% 6.86/2.38 % (17613)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_17436 for (2991ds/182Mi)
% 6.86/2.38 % (17614)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_17436 for (2991ds/182Mi)
% 6.86/2.38 % (17615)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_17436 for (2991ds/154Mi)
% 6.86/2.38 % (17616)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_17436 for (2991ds/79Mi)
% 6.86/2.39 % (17616)Refutation not found, incomplete strategy
% 6.86/2.39 % (17616)------------------------------
% 6.86/2.39 % (17616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.86/2.39 % (17616)Termination reason: Refutation not found, incomplete strategy
% 6.86/2.39
% 6.86/2.39
% 6.86/2.39 % (17616)Memory used [KB]: 5628
% 6.86/2.39 % (17616)Time elapsed: 0.008 s
% 6.86/2.39 % (17616)Instructions burned: 12 (million)
% 6.86/2.39 % (17616)------------------------------
% 6.86/2.39 % (17616)------------------------------
% 6.86/2.39 % (17617)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_17436 for (2991ds/216Mi)
% 7.83/2.41 % (17618)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_17436 for (2991ds/114Mi)
% 7.83/2.42 % (17617)Refutation not found, incomplete strategy
% 7.83/2.42 % (17617)------------------------------
% 7.83/2.42 % (17617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.83/2.42 % (17617)Termination reason: Refutation not found, incomplete strategy
% 7.83/2.42
% 7.83/2.42
% 7.83/2.42 % (17617)Memory used [KB]: 5756
% 7.83/2.42 % (17617)Time elapsed: 0.030 s
% 7.83/2.42 % (17617)Instructions burned: 56 (million)
% 7.83/2.42 % (17617)------------------------------
% 7.83/2.42 % (17617)------------------------------
% 7.83/2.44 % (17619)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_17436 for (2990ds/922Mi)
% 7.83/2.44 % (17619)Refutation not found, incomplete strategy
% 7.83/2.44 % (17619)------------------------------
% 7.83/2.44 % (17619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.83/2.44 % (17619)Termination reason: Refutation not found, incomplete strategy
% 7.83/2.44
% 7.83/2.44
% 7.83/2.44 % (17619)Memory used [KB]: 5628
% 7.83/2.44 % (17619)Time elapsed: 0.010 s
% 7.83/2.44 % (17619)Instructions burned: 16 (million)
% 7.83/2.44 % (17619)------------------------------
% 7.83/2.44 % (17619)------------------------------
% 7.83/2.46 % (17618)Instruction limit reached!
% 7.83/2.46 % (17618)------------------------------
% 7.83/2.46 % (17618)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.83/2.46 % (17618)Termination reason: Unknown
% 7.83/2.46 % (17618)Termination phase: Saturation
% 7.83/2.46
% 7.83/2.46 % (17618)Memory used [KB]: 6396
% 7.83/2.46 % (17618)Time elapsed: 0.054 s
% 7.83/2.46 % (17618)Instructions burned: 115 (million)
% 7.83/2.46 % (17618)------------------------------
% 7.83/2.46 % (17618)------------------------------
% 7.83/2.46 % (17613)Instruction limit reached!
% 7.83/2.46 % (17613)------------------------------
% 7.83/2.46 % (17613)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.83/2.46 % (17613)Termination reason: Unknown
% 7.83/2.46 % (17613)Termination phase: Saturation
% 7.83/2.46
% 7.83/2.46 % (17613)Memory used [KB]: 6780
% 7.83/2.46 % (17613)Time elapsed: 0.085 s
% 7.83/2.46 % (17613)Instructions burned: 182 (million)
% 7.83/2.46 % (17613)------------------------------
% 7.83/2.46 % (17613)------------------------------
% 7.83/2.46 % (17615)Instruction limit reached!
% 7.83/2.46 % (17615)------------------------------
% 7.83/2.46 % (17615)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.83/2.46 % (17615)Termination reason: Unknown
% 7.83/2.46 % (17615)Termination phase: Saturation
% 7.83/2.46
% 7.83/2.46 % (17615)Memory used [KB]: 6268
% 7.83/2.46 % (17615)Time elapsed: 0.079 s
% 7.83/2.46 % (17615)Instructions burned: 155 (million)
% 7.83/2.46 % (17615)------------------------------
% 7.83/2.46 % (17615)------------------------------
% 7.83/2.46 % (17620)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_17436 for (2990ds/182Mi)
% 7.83/2.47 % (17614)Instruction limit reached!
% 7.83/2.47 % (17614)------------------------------
% 7.83/2.47 % (17614)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.83/2.47 % (17614)Termination reason: Unknown
% 7.83/2.47 % (17614)Termination phase: Saturation
% 7.83/2.47
% 7.83/2.47 % (17614)Memory used [KB]: 6012
% 7.83/2.47 % (17614)Time elapsed: 0.090 s
% 7.83/2.47 % (17614)Instructions burned: 182 (million)
% 7.83/2.47 % (17614)------------------------------
% 7.83/2.47 % (17614)------------------------------
% 7.83/2.47 % (17611)Instruction limit reached!
% 7.83/2.47 % (17611)------------------------------
% 7.83/2.47 % (17611)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.83/2.47 % (17611)Termination reason: Unknown
% 7.83/2.47 % (17611)Termination phase: Saturation
% 7.83/2.47
% 7.83/2.47 % (17611)Memory used [KB]: 6396
% 7.83/2.47 % (17611)Time elapsed: 0.144 s
% 7.83/2.47 % (17611)Instructions burned: 297 (million)
% 7.83/2.47 % (17611)------------------------------
% 7.83/2.47 % (17611)------------------------------
% 7.83/2.47 % (17621)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_17436 for (2990ds/164Mi)
% 7.83/2.48 % (17622)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_17436 for (2990ds/50Mi)
% 7.83/2.48 % (17623)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_17436 for (2990ds/368Mi)
% 7.83/2.48 % (17624)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_17436 for (2990ds/1021Mi)
% 7.83/2.48 % (17625)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_17436 for (2990ds/267Mi)
% 8.41/2.50 % (17622)Instruction limit reached!
% 8.41/2.50 % (17622)------------------------------
% 8.41/2.50 % (17622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.41/2.50 % (17622)Termination reason: Unknown
% 8.41/2.50 % (17622)Termination phase: Saturation
% 8.41/2.50
% 8.41/2.50 % (17622)Memory used [KB]: 10234
% 8.41/2.50 % (17622)Time elapsed: 0.026 s
% 8.41/2.50 % (17622)Instructions burned: 50 (million)
% 8.41/2.50 % (17622)------------------------------
% 8.41/2.50 % (17622)------------------------------
% 8.41/2.52 % (17626)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_17436 for (2990ds/204Mi)
% 8.41/2.54 % (17620)Instruction limit reached!
% 8.41/2.54 % (17620)------------------------------
% 8.41/2.54 % (17620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.41/2.54 % (17620)Termination reason: Unknown
% 8.41/2.54 % (17620)Termination phase: Saturation
% 8.41/2.54
% 8.41/2.54 % (17620)Memory used [KB]: 5628
% 8.41/2.54 % (17620)Time elapsed: 0.084 s
% 8.41/2.54 % (17620)Instructions burned: 182 (million)
% 8.41/2.54 % (17620)------------------------------
% 8.41/2.54 % (17620)------------------------------
% 8.41/2.56 % (17621)Instruction limit reached!
% 8.41/2.56 % (17621)------------------------------
% 8.41/2.56 % (17621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.41/2.56 % (17621)Termination reason: Unknown
% 8.41/2.56 % (17621)Termination phase: Saturation
% 8.41/2.56
% 8.41/2.56 % (17621)Memory used [KB]: 1407
% 8.41/2.56 % (17621)Time elapsed: 0.084 s
% 8.41/2.56 % (17621)Instructions burned: 165 (million)
% 8.41/2.56 % (17621)------------------------------
% 8.41/2.56 % (17621)------------------------------
% 8.41/2.56 % (17627)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_17436 for (2989ds/26Mi)
% 8.41/2.57 % (17627)Instruction limit reached!
% 8.41/2.57 % (17627)------------------------------
% 8.41/2.57 % (17627)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.41/2.57 % (17627)Termination reason: Unknown
% 8.41/2.57 % (17627)Termination phase: Saturation
% 8.41/2.57
% 8.41/2.57 % (17627)Memory used [KB]: 5628
% 8.41/2.57 % (17627)Time elapsed: 0.014 s
% 8.41/2.57 % (17627)Instructions burned: 26 (million)
% 8.41/2.57 % (17627)------------------------------
% 8.41/2.57 % (17627)------------------------------
% 8.41/2.57 % (17628)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_17436 for (2989ds/53Mi)
% 8.41/2.59 % (17629)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_17436 for (2989ds/4436Mi)
% 8.69/2.60 % (17628)Instruction limit reached!
% 8.69/2.60 % (17628)------------------------------
% 8.69/2.60 % (17628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.60 % (17628)Termination reason: Unknown
% 8.69/2.60 % (17628)Termination phase: Saturation
% 8.69/2.60
% 8.69/2.60 % (17628)Memory used [KB]: 5756
% 8.69/2.60 % (17628)Time elapsed: 0.028 s
% 8.69/2.60 % (17628)Instructions burned: 54 (million)
% 8.69/2.60 % (17628)------------------------------
% 8.69/2.60 % (17628)------------------------------
% 8.69/2.61 % (17626)Instruction limit reached!
% 8.69/2.61 % (17626)------------------------------
% 8.69/2.61 % (17626)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.61 % (17626)Termination reason: Unknown
% 8.69/2.61 % (17626)Termination phase: Saturation
% 8.69/2.61
% 8.69/2.61 % (17626)Memory used [KB]: 6012
% 8.69/2.61 % (17626)Time elapsed: 0.098 s
% 8.69/2.61 % (17626)Instructions burned: 205 (million)
% 8.69/2.61 % (17626)------------------------------
% 8.69/2.61 % (17626)------------------------------
% 8.69/2.62 % (17630)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_17436 for (2989ds/1539Mi)
% 8.69/2.62 % (17625)Instruction limit reached!
% 8.69/2.62 % (17625)------------------------------
% 8.69/2.62 % (17625)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.62 % (17625)Termination reason: Unknown
% 8.69/2.62 % (17625)Termination phase: Saturation
% 8.69/2.62
% 8.69/2.62 % (17625)Memory used [KB]: 6140
% 8.69/2.62 % (17625)Time elapsed: 0.137 s
% 8.69/2.62 % (17625)Instructions burned: 268 (million)
% 8.69/2.62 % (17625)------------------------------
% 8.69/2.62 % (17625)------------------------------
% 8.69/2.63 % (17631)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_17436 for (2989ds/408Mi)
% 8.69/2.64 % (17632)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_17436 for (2988ds/5205Mi)
% 8.69/2.65 % (17623)Instruction limit reached!
% 8.69/2.65 % (17623)------------------------------
% 8.69/2.65 % (17623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.69/2.65 % (17623)Termination reason: Unknown
% 8.69/2.65 % (17623)Termination phase: Saturation
% 8.69/2.65
% 8.69/2.65 % (17623)Memory used [KB]: 6652
% 8.69/2.65 % (17623)Time elapsed: 0.177 s
% 8.69/2.65 % (17623)Instructions burned: 368 (million)
% 8.69/2.65 % (17623)------------------------------
% 8.69/2.65 % (17623)------------------------------
% 8.69/2.67 % (17633)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_17436 for (2988ds/1913Mi)
% 9.19/2.70 % (17632)Refutation not found, incomplete strategy
% 9.19/2.70 % (17632)------------------------------
% 9.19/2.70 % (17632)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.19/2.70 % (17632)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.70
% 9.19/2.70
% 9.19/2.70 % (17632)Memory used [KB]: 5756
% 9.19/2.70 % (17632)Time elapsed: 0.089 s
% 9.19/2.70 % (17632)Instructions burned: 137 (million)
% 9.19/2.70 % (17632)------------------------------
% 9.19/2.70 % (17632)------------------------------
% 9.19/2.71 % (17633)Refutation not found, incomplete strategy
% 9.19/2.71 % (17633)------------------------------
% 9.19/2.71 % (17633)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.19/2.71 % (17633)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.71
% 9.19/2.71
% 9.19/2.71 % (17633)Memory used [KB]: 1151
% 9.19/2.71 % (17633)Time elapsed: 0.060 s
% 9.19/2.71 % (17633)Instructions burned: 78 (million)
% 9.19/2.71 % (17633)------------------------------
% 9.19/2.71 % (17633)------------------------------
% 9.19/2.72 % (17634)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_17436 for (2988ds/4350Mi)
% 9.19/2.72 % (17635)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_17436 for (2987ds/68Mi)
% 9.19/2.76 % (17635)Instruction limit reached!
% 9.19/2.76 % (17635)------------------------------
% 9.19/2.76 % (17635)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.19/2.76 % (17635)Termination reason: Unknown
% 9.19/2.76 % (17635)Termination phase: Saturation
% 9.19/2.76
% 9.19/2.76 % (17635)Memory used [KB]: 5884
% 9.19/2.76 % (17635)Time elapsed: 0.037 s
% 9.19/2.76 % (17635)Instructions burned: 69 (million)
% 9.19/2.76 % (17635)------------------------------
% 9.19/2.76 % (17635)------------------------------
% 9.19/2.77 % (17636)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_17436 for (2987ds/358Mi)
% 9.19/2.78 % (17636)Refutation not found, incomplete strategy
% 9.19/2.78 % (17636)------------------------------
% 9.19/2.78 % (17636)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.19/2.78 % (17636)Termination reason: Refutation not found, incomplete strategy
% 9.19/2.78
% 9.19/2.78
% 9.19/2.78 % (17636)Memory used [KB]: 5628
% 9.19/2.78 % (17636)Time elapsed: 0.010 s
% 9.19/2.78 % (17636)Instructions burned: 13 (million)
% 9.19/2.78 % (17636)------------------------------
% 9.19/2.78 % (17636)------------------------------
% 9.40/2.80 % (17637)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_17436 for (2987ds/31Mi)
% 9.40/2.80 % (17612)Instruction limit reached!
% 9.40/2.80 % (17612)------------------------------
% 9.40/2.80 % (17612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.40/2.80 % (17612)Termination reason: Unknown
% 9.40/2.80 % (17612)Termination phase: Saturation
% 9.40/2.80
% 9.40/2.80 % (17612)Memory used [KB]: 6140
% 9.40/2.80 % (17612)Time elapsed: 0.445 s
% 9.40/2.80 % (17612)Instructions burned: 987 (million)
% 9.40/2.80 % (17612)------------------------------
% 9.40/2.80 % (17612)------------------------------
% 9.40/2.81 % (17631)Instruction limit reached!
% 9.40/2.81 % (17631)------------------------------
% 9.40/2.81 % (17631)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.40/2.81 % (17631)Termination reason: Unknown
% 9.40/2.81 % (17631)Termination phase: Saturation
% 9.40/2.81
% 9.40/2.81 % (17631)Memory used [KB]: 6780
% 9.40/2.81 % (17631)Time elapsed: 0.202 s
% 9.40/2.81 % (17631)Instructions burned: 410 (million)
% 9.40/2.81 % (17631)------------------------------
% 9.40/2.81 % (17631)------------------------------
% 9.40/2.82 % (17637)Instruction limit reached!
% 9.40/2.82 % (17637)------------------------------
% 9.40/2.82 % (17637)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.40/2.82 % (17637)Termination reason: Unknown
% 9.40/2.82 % (17637)Termination phase: Saturation
% 9.40/2.82
% 9.40/2.82 % (17637)Memory used [KB]: 5756
% 9.40/2.82 % (17637)Time elapsed: 0.019 s
% 9.40/2.82 % (17637)Instructions burned: 32 (million)
% 9.40/2.82 % (17637)------------------------------
% 9.40/2.82 % (17637)------------------------------
% 9.40/2.82 % (17638)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_17436 for (2986ds/279Mi)
% 9.40/2.82 % (17639)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_17436 for (2986ds/258Mi)
% 9.40/2.83 % (17640)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_17436 for (2986ds/26Mi)
% 9.40/2.83 % (17639)Refutation not found, incomplete strategy
% 9.40/2.83 % (17639)------------------------------
% 9.40/2.83 % (17639)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.40/2.83 % (17639)Termination reason: Refutation not found, incomplete strategy
% 9.40/2.83
% 9.40/2.83
% 9.40/2.83 % (17639)Memory used [KB]: 5628
% 9.40/2.83 % (17639)Time elapsed: 0.009 s
% 9.40/2.83 % (17639)Instructions burned: 14 (million)
% 9.40/2.83 % (17639)------------------------------
% 9.40/2.83 % (17639)------------------------------
% 9.40/2.84 % (17640)Instruction limit reached!
% 9.40/2.84 % (17640)------------------------------
% 9.40/2.84 % (17640)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.40/2.84 % (17640)Termination reason: Unknown
% 9.40/2.84 % (17640)Termination phase: Saturation
% 9.40/2.84
% 9.40/2.84 % (17640)Memory used [KB]: 5628
% 9.40/2.84 % (17640)Time elapsed: 0.014 s
% 9.40/2.84 % (17640)Instructions burned: 26 (million)
% 9.40/2.84 % (17640)------------------------------
% 9.40/2.84 % (17640)------------------------------
% 9.40/2.85 % (17641)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_17436 for (2986ds/995Mi)
% 9.40/2.86 % (17642)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_17436 for (2986ds/373Mi)
% 10.14/2.96 % (17638)Instruction limit reached!
% 10.14/2.96 % (17638)------------------------------
% 10.14/2.96 % (17638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.14/2.96 % (17638)Termination reason: Unknown
% 10.14/2.96 % (17638)Termination phase: Saturation
% 10.14/2.96
% 10.14/2.96 % (17638)Memory used [KB]: 6524
% 10.14/2.96 % (17638)Time elapsed: 0.141 s
% 10.14/2.96 % (17638)Instructions burned: 280 (million)
% 10.14/2.96 % (17638)------------------------------
% 10.14/2.96 % (17638)------------------------------
% 10.14/2.97 % (17643)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_17436 for (2985ds/253Mi)
% 10.14/2.99 % (17624)Instruction limit reached!
% 10.14/2.99 % (17624)------------------------------
% 10.14/2.99 % (17624)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.14/2.99 % (17624)Termination reason: Unknown
% 10.14/2.99 % (17624)Termination phase: Saturation
% 10.14/2.99
% 10.14/2.99 % (17624)Memory used [KB]: 7675
% 10.14/2.99 % (17624)Time elapsed: 0.503 s
% 10.14/2.99 % (17624)Instructions burned: 1021 (million)
% 10.14/2.99 % (17624)------------------------------
% 10.14/2.99 % (17624)------------------------------
% 10.14/3.00 % (17644)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_17436 for (2985ds/832Mi)
% 10.14/3.01 % (17644)Refutation not found, incomplete strategy
% 10.14/3.01 % (17644)------------------------------
% 10.14/3.01 % (17644)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.14/3.01 % (17644)Termination reason: Refutation not found, incomplete strategy
% 10.14/3.01
% 10.14/3.01
% 10.14/3.01 % (17644)Memory used [KB]: 5628
% 10.14/3.01 % (17644)Time elapsed: 0.011 s
% 10.14/3.01 % (17644)Instructions burned: 18 (million)
% 10.14/3.01 % (17644)------------------------------
% 10.14/3.01 % (17644)------------------------------
% 12.41/3.03 % (17645)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_17436 for (2984ds/668Mi)
% 12.41/3.04 % (17641)Refutation not found, incomplete strategy
% 12.41/3.04 % (17641)------------------------------
% 12.41/3.04 % (17641)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.41/3.04 % (17641)Termination reason: Refutation not found, incomplete strategy
% 12.41/3.04
% 12.41/3.04
% 12.41/3.04 % (17641)Memory used [KB]: 6268
% 12.41/3.04 % (17641)Time elapsed: 0.190 s
% 12.41/3.04 % (17641)Instructions burned: 388 (million)
% 12.41/3.04 % (17641)------------------------------
% 12.41/3.04 % (17641)------------------------------
% 12.41/3.04 % (17642)Instruction limit reached!
% 12.41/3.04 % (17642)------------------------------
% 12.41/3.04 % (17642)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.41/3.04 % (17642)Termination reason: Unknown
% 12.41/3.04 % (17642)Termination phase: Saturation
% 12.41/3.04
% 12.41/3.04 % (17642)Memory used [KB]: 7164
% 12.41/3.04 % (17642)Time elapsed: 0.182 s
% 12.41/3.04 % (17642)Instructions burned: 373 (million)
% 12.41/3.04 % (17642)------------------------------
% 12.41/3.04 % (17642)------------------------------
% 12.41/3.05 % (17646)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_17436 for (2984ds/40Mi)
% 12.41/3.06 % (17647)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_17436 for (2984ds/294Mi)
% 12.41/3.08 % (17646)Instruction limit reached!
% 12.41/3.08 % (17646)------------------------------
% 12.41/3.08 % (17646)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.41/3.08 % (17646)Termination reason: Unknown
% 12.41/3.08 % (17646)Termination phase: Saturation
% 12.41/3.08
% 12.41/3.08 % (17646)Memory used [KB]: 5628
% 12.41/3.08 % (17646)Time elapsed: 0.022 s
% 12.41/3.08 % (17646)Instructions burned: 40 (million)
% 12.41/3.08 % (17646)------------------------------
% 12.41/3.08 % (17646)------------------------------
% 12.41/3.09 % (17648)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_17436 for (2984ds/187Mi)
% 12.41/3.09 % (17643)Instruction limit reached!
% 12.41/3.09 % (17643)------------------------------
% 12.41/3.09 % (17643)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.41/3.09 % (17643)Termination reason: Unknown
% 12.41/3.09 % (17643)Termination phase: Saturation
% 12.41/3.09
% 12.41/3.09 % (17643)Memory used [KB]: 6012
% 12.41/3.09 % (17643)Time elapsed: 0.123 s
% 12.41/3.09 % (17643)Instructions burned: 253 (million)
% 12.41/3.09 % (17643)------------------------------
% 12.41/3.09 % (17643)------------------------------
% 12.41/3.11 % (17649)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_17436 for (2984ds/371Mi)
% 12.41/3.12 % (17649)Refutation not found, incomplete strategy
% 12.41/3.12 % (17649)------------------------------
% 12.41/3.12 % (17649)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.41/3.12 % (17649)Termination reason: Refutation not found, incomplete strategy
% 12.41/3.12
% 12.41/3.12
% 12.41/3.12 % (17649)Memory used [KB]: 5628
% 12.41/3.12 % (17649)Time elapsed: 0.012 s
% 12.41/3.12 % (17649)Instructions burned: 19 (million)
% 12.41/3.12 % (17649)------------------------------
% 12.41/3.12 % (17649)------------------------------
% 12.91/3.14 % (17650)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_17436 for (2983ds/1827Mi)
% 12.91/3.18 % (17648)Instruction limit reached!
% 12.91/3.18 % (17648)------------------------------
% 12.91/3.18 % (17648)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.91/3.18 % (17648)Termination reason: Unknown
% 12.91/3.18 % (17648)Termination phase: Saturation
% 12.91/3.18
% 12.91/3.18 % (17648)Memory used [KB]: 6652
% 12.91/3.18 % (17648)Time elapsed: 0.095 s
% 12.91/3.18 % (17648)Instructions burned: 188 (million)
% 12.91/3.18 % (17648)------------------------------
% 12.91/3.18 % (17648)------------------------------
% 13.24/3.20 % (17647)Instruction limit reached!
% 13.24/3.20 % (17647)------------------------------
% 13.24/3.20 % (17647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.24/3.20 % (17647)Termination reason: Unknown
% 13.24/3.20 % (17647)Termination phase: Saturation
% 13.24/3.20
% 13.24/3.20 % (17647)Memory used [KB]: 6268
% 13.24/3.20 % (17647)Time elapsed: 0.145 s
% 13.24/3.20 % (17647)Instructions burned: 295 (million)
% 13.24/3.20 % (17647)------------------------------
% 13.24/3.20 % (17647)------------------------------
% 13.24/3.20 % (17651)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_17436 for (2983ds/70Mi)
% 13.24/3.22 % (17652)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_17436 for (2983ds/316Mi)
% 13.24/3.23 % (17651)Instruction limit reached!
% 13.24/3.23 % (17651)------------------------------
% 13.24/3.23 % (17651)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.24/3.23 % (17651)Termination reason: Unknown
% 13.24/3.23 % (17651)Termination phase: Saturation
% 13.24/3.23
% 13.24/3.23 % (17651)Memory used [KB]: 1663
% 13.24/3.23 % (17651)Time elapsed: 0.035 s
% 13.24/3.23 % (17651)Instructions burned: 70 (million)
% 13.24/3.23 % (17651)------------------------------
% 13.24/3.23 % (17651)------------------------------
% 13.24/3.25 % (17653)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_17436 for (2982ds/932Mi)
% 13.75/3.37 % (17652)Instruction limit reached!
% 13.75/3.37 % (17652)------------------------------
% 13.75/3.37 % (17652)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.75/3.37 % (17652)Termination reason: Unknown
% 13.75/3.37 % (17652)Termination phase: Saturation
% 13.75/3.37
% 13.75/3.37 % (17652)Memory used [KB]: 6908
% 13.75/3.37 % (17652)Time elapsed: 0.155 s
% 13.75/3.37 % (17652)Instructions burned: 317 (million)
% 13.75/3.37 % (17652)------------------------------
% 13.75/3.37 % (17652)------------------------------
% 13.75/3.37 % (17645)Instruction limit reached!
% 13.75/3.37 % (17645)------------------------------
% 13.75/3.37 % (17645)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.75/3.37 % (17645)Termination reason: Unknown
% 13.75/3.37 % (17645)Termination phase: Saturation
% 13.75/3.37
% 13.75/3.37 % (17645)Memory used [KB]: 11897
% 13.75/3.37 % (17645)Time elapsed: 0.345 s
% 13.75/3.37 % (17645)Instructions burned: 669 (million)
% 13.75/3.37 % (17645)------------------------------
% 13.75/3.37 % (17645)------------------------------
% 13.75/3.39 % (17654)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_17436 for (2981ds/4714Mi)
% 13.75/3.39 % (17655)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_17436 for (2981ds/8250Mi)
% 14.58/3.40 % (17630)Instruction limit reached!
% 14.58/3.40 % (17630)------------------------------
% 14.58/3.40 % (17630)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.58/3.40 % (17630)Termination reason: Unknown
% 14.58/3.40 % (17630)Termination phase: Saturation
% 14.58/3.40
% 14.58/3.40 % (17630)Memory used [KB]: 8955
% 14.58/3.40 % (17630)Time elapsed: 0.784 s
% 14.58/3.40 % (17630)Instructions burned: 1539 (million)
% 14.58/3.40 % (17630)------------------------------
% 14.58/3.40 % (17630)------------------------------
% 14.58/3.42 % (17656)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_17436 for (2981ds/770Mi)
% 14.58/3.43 % (17654)Refutation not found, incomplete strategy
% 14.58/3.43 % (17654)------------------------------
% 14.58/3.43 % (17654)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.58/3.43 % (17654)Termination reason: Refutation not found, incomplete strategy
% 14.58/3.43
% 14.58/3.43
% 14.58/3.43 % (17654)Memory used [KB]: 5756
% 14.58/3.43 % (17654)Time elapsed: 0.044 s
% 14.58/3.43 % (17654)Instructions burned: 84 (million)
% 14.58/3.43 % (17654)------------------------------
% 14.58/3.43 % (17654)------------------------------
% 14.58/3.45 % (17657)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_17436 for (2980ds/794Mi)
% 14.85/3.55 % (17655)Refutation not found, incomplete strategy
% 14.85/3.55 % (17655)------------------------------
% 14.85/3.55 % (17655)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.85/3.55 % (17655)Termination reason: Refutation not found, incomplete strategy
% 14.85/3.55
% 14.85/3.55
% 14.85/3.55 % (17655)Memory used [KB]: 6140
% 14.85/3.55 % (17655)Time elapsed: 0.164 s
% 14.85/3.55 % (17655)Instructions burned: 342 (million)
% 14.85/3.55 % (17655)------------------------------
% 14.85/3.55 % (17655)------------------------------
% 14.85/3.57 % (17658)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_17436 for (2979ds/464Mi)
% 14.85/3.59 % (17658)Refutation not found, incomplete strategy
% 14.85/3.59 % (17658)------------------------------
% 14.85/3.59 % (17658)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.85/3.59 % (17658)Termination reason: Refutation not found, incomplete strategy
% 14.85/3.59
% 14.85/3.59
% 14.85/3.59 % (17658)Memory used [KB]: 5628
% 14.85/3.59 % (17658)Time elapsed: 0.019 s
% 14.85/3.59 % (17658)Instructions burned: 33 (million)
% 14.85/3.59 % (17658)------------------------------
% 14.85/3.59 % (17658)------------------------------
% 15.26/3.60 % (17659)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_17436 for (2979ds/1376Mi)
% 15.26/3.62 % (17650)Refutation not found, incomplete strategy
% 15.26/3.62 % (17650)------------------------------
% 15.26/3.62 % (17650)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.26/3.62 % (17650)Termination reason: Refutation not found, incomplete strategy
% 15.26/3.62
% 15.26/3.62
% 15.26/3.62 % (17650)Memory used [KB]: 7419
% 15.26/3.62 % (17650)Time elapsed: 0.489 s
% 15.26/3.62 % (17650)Instructions burned: 1023 (million)
% 15.26/3.62 % (17650)------------------------------
% 15.26/3.62 % (17650)------------------------------
% 15.26/3.64 % (17660)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_17436 for (2978ds/906Mi)
% 15.96/3.71 % (17653)Instruction limit reached!
% 15.96/3.71 % (17653)------------------------------
% 15.96/3.71 % (17653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.96/3.71 % (17653)Termination reason: Unknown
% 15.96/3.71 % (17653)Termination phase: Saturation
% 15.96/3.71
% 15.96/3.71 % (17653)Memory used [KB]: 8443
% 15.96/3.71 % (17653)Time elapsed: 0.461 s
% 15.96/3.71 % (17653)Instructions burned: 933 (million)
% 15.96/3.71 % (17653)------------------------------
% 15.96/3.71 % (17653)------------------------------
% 15.96/3.73 % (17661)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_17436 for (2978ds/434Mi)
% 16.64/3.80 % (17656)Instruction limit reached!
% 16.64/3.80 % (17656)------------------------------
% 16.64/3.80 % (17656)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.64/3.80 % (17656)Termination reason: Unknown
% 16.64/3.80 % (17656)Termination phase: Saturation
% 16.64/3.80
% 16.64/3.80 % (17656)Memory used [KB]: 7036
% 16.64/3.80 % (17656)Time elapsed: 0.388 s
% 16.64/3.80 % (17656)Instructions burned: 770 (million)
% 16.64/3.80 % (17656)------------------------------
% 16.64/3.80 % (17656)------------------------------
% 16.64/3.82 % (17662)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_17436 for (2977ds/865Mi)
% 16.64/3.84 % (17657)Instruction limit reached!
% 16.64/3.84 % (17657)------------------------------
% 16.64/3.84 % (17657)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.64/3.84 % (17657)Termination reason: Unknown
% 16.64/3.84 % (17657)Termination phase: Saturation
% 16.64/3.84
% 16.64/3.84 % (17657)Memory used [KB]: 3070
% 16.64/3.84 % (17657)Time elapsed: 0.391 s
% 16.64/3.84 % (17657)Instructions burned: 795 (million)
% 16.64/3.84 % (17657)------------------------------
% 16.64/3.84 % (17657)------------------------------
% 16.64/3.85 % (17663)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_17436 for (2976ds/593Mi)
% 17.65/3.94 % (17661)Instruction limit reached!
% 17.65/3.94 % (17661)------------------------------
% 17.65/3.94 % (17661)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.65/3.94 % (17661)Termination reason: Unknown
% 17.65/3.94 % (17661)Termination phase: Saturation
% 17.65/3.94
% 17.65/3.94 % (17661)Memory used [KB]: 6396
% 17.65/3.94 % (17661)Time elapsed: 0.217 s
% 17.65/3.94 % (17661)Instructions burned: 434 (million)
% 17.65/3.94 % (17661)------------------------------
% 17.65/3.94 % (17661)------------------------------
% 17.65/3.96 % (17664)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_17436 for (2975ds/443Mi)
% 19.42/4.10 % (17660)Instruction limit reached!
% 19.42/4.10 % (17660)------------------------------
% 19.42/4.10 % (17660)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 19.42/4.10 % (17660)Termination reason: Unknown
% 19.42/4.10 % (17660)Termination phase: Saturation
% 19.42/4.10
% 19.42/4.10 % (17660)Memory used [KB]: 13048
% 19.42/4.10 % (17660)Time elapsed: 0.461 s
% 19.42/4.10 % (17660)Instructions burned: 907 (million)
% 19.42/4.10 % (17660)------------------------------
% 19.42/4.10 % (17660)------------------------------
% 19.42/4.12 % (17665)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_17436 for (2974ds/594Mi)
% 20.11/4.15 % (17663)Instruction limit reached!
% 20.11/4.15 % (17663)------------------------------
% 20.11/4.15 % (17663)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.11/4.15 % (17663)Termination reason: Unknown
% 20.11/4.15 % (17663)Termination phase: Saturation
% 20.11/4.15
% 20.11/4.15 % (17663)Memory used [KB]: 6652
% 20.11/4.15 % (17663)Time elapsed: 0.299 s
% 20.11/4.15 % (17663)Instructions burned: 594 (million)
% 20.11/4.15 % (17663)------------------------------
% 20.11/4.15 % (17663)------------------------------
% 20.11/4.17 % (17666)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_17436 for (2973ds/327Mi)
% 20.11/4.20 % (17664)Instruction limit reached!
% 20.11/4.20 % (17664)------------------------------
% 20.11/4.20 % (17664)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.11/4.20 % (17664)Termination reason: Unknown
% 20.11/4.20 % (17664)Termination phase: Saturation
% 20.11/4.20
% 20.11/4.20 % (17664)Memory used [KB]: 7164
% 20.11/4.20 % (17664)Time elapsed: 0.255 s
% 20.11/4.20 % (17664)Instructions burned: 444 (million)
% 20.11/4.20 % (17664)------------------------------
% 20.11/4.20 % (17664)------------------------------
% 20.51/4.21 % (17667)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_17436 for (2973ds/5411Mi)
% 20.51/4.22 % (17662)Instruction limit reached!
% 20.51/4.22 % (17662)------------------------------
% 20.51/4.22 % (17662)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.51/4.22 % (17662)Termination reason: Unknown
% 20.51/4.22 % (17662)Termination phase: Saturation
% 20.51/4.22
% 20.51/4.22 % (17662)Memory used [KB]: 8827
% 20.51/4.22 % (17662)Time elapsed: 0.403 s
% 20.51/4.22 % (17662)Instructions burned: 866 (million)
% 20.51/4.22 % (17662)------------------------------
% 20.51/4.22 % (17662)------------------------------
% 20.51/4.24 % (17668)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_17436 for (2972ds/1762Mi)
% 20.51/4.25 % (17659)Instruction limit reached!
% 20.51/4.25 % (17659)------------------------------
% 20.51/4.25 % (17659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.51/4.25 % (17659)Termination reason: Unknown
% 20.51/4.25 % (17659)Termination phase: Saturation
% 20.51/4.25
% 20.51/4.25 % (17659)Memory used [KB]: 10874
% 20.51/4.25 % (17659)Time elapsed: 0.653 s
% 20.51/4.25 % (17659)Instructions burned: 1376 (million)
% 20.51/4.25 % (17659)------------------------------
% 20.51/4.25 % (17659)------------------------------
% 20.51/4.27 % (17669)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_17436 for (2972ds/96Mi)
% 20.81/4.31 % (17667)First to succeed.
% 20.81/4.32 % (17667)Refutation found. Thanks to Tanya!
% 20.81/4.32 % SZS status Theorem for DTF2THF_17436
% 20.81/4.32 % SZS output start Proof for DTF2THF_17436
% 20.81/4.32 thf(func_def_10, type, sK0: ($i > $o) > $i > $o).
% 20.81/4.32 thf(func_def_12, type, sK2: $i > $o).
% 20.81/4.32 thf(func_def_14, type, sK4: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_15, type, sK5: $i > $o).
% 20.81/4.32 thf(func_def_16, type, sK6: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_17, type, sK7: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_20, type, ph9: !>[X0: $tType]:(X0)).
% 20.81/4.32 thf(func_def_21, type, sK10: $i > $o).
% 20.81/4.32 thf(func_def_23, type, sK11: $i > $o).
% 20.81/4.32 thf(func_def_24, type, sK12: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_25, type, sK13: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_26, type, sK14: $i > $o).
% 20.81/4.32 thf(func_def_27, type, sK15: $i > $o).
% 20.81/4.32 thf(func_def_28, type, sK16: $i > $o).
% 20.81/4.32 thf(func_def_29, type, sK17: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_30, type, sK18: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_31, type, sK19: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_32, type, sK20: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_33, type, sK21: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_34, type, sK22: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_35, type, sK23: $i > $o).
% 20.81/4.32 thf(func_def_36, type, sK24: $i > $o).
% 20.81/4.32 thf(func_def_37, type, sK25: $i > $o).
% 20.81/4.32 thf(func_def_38, type, sK26: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_39, type, sK27: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_40, type, sK28: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_41, type, sK29: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_42, type, sK30: $i > $o).
% 20.81/4.32 thf(func_def_43, type, sK31: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_44, type, sK32: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_45, type, sK33: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_46, type, sK34: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_47, type, sK35: $i > $o).
% 20.81/4.32 thf(func_def_48, type, sK36: $i > $o).
% 20.81/4.32 thf(func_def_49, type, sK37: $i > $o).
% 20.81/4.32 thf(func_def_50, type, sK38: $i > $o).
% 20.81/4.32 thf(func_def_51, type, sK39: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_52, type, sK40: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_53, type, sK41: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_54, type, sK42: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_55, type, sK43: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_56, type, sK44: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_57, type, sK45: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_58, type, sK46: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_59, type, sK47: $i > $o).
% 20.81/4.32 thf(func_def_60, type, sK48: $i > $o).
% 20.81/4.32 thf(func_def_61, type, sK49: $i > $o).
% 20.81/4.32 thf(func_def_62, type, sK50: $i > $o).
% 20.81/4.32 thf(func_def_63, type, sK51: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_64, type, sK52: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_65, type, sK53: ($i > $o) > $i).
% 20.81/4.32 thf(func_def_66, type, sK54: ($i > $o) > $i).
% 20.81/4.32 thf(f1136,plain,(
% 20.81/4.32 $false),
% 20.81/4.32 inference(avatar_sat_refutation,[status(thm)],[f37,f45,f50,f55,f59,f63,f67,f121,f778,f891,f1135])).
% 20.81/4.32 thf(f1135,plain,(
% 20.81/4.32 spl8_4 | ~spl8_6 | ~spl8_9),
% 20.81/4.32 inference(avatar_contradiction_clause,[status(thm)],[f1134])).
% 20.81/4.32 thf(f1134,plain,(
% 20.81/4.32 $false | (spl8_4 | ~spl8_6 | ~spl8_9)),
% 20.81/4.32 inference(subsumption_resolution,[status(thm)],[f1133,f54])).
% 20.81/4.32 thf(f54,plain,(
% 20.81/4.32 ((sK2 @ sK1) = $true) | ~spl8_6),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f52])).
% 20.81/4.32 thf(f52,definition,(
% 20.81/4.32 spl8_6 <=> ((sK2 @ sK1) = $true)),
% 20.81/4.32 introduced(definition,[new_symbols(naming,[spl8_6])],[avatar_definition])).
% 20.81/4.32 thf(f1133,plain,(
% 20.81/4.32 ((sK2 @ sK1) != $true) | (spl8_4 | ~spl8_6 | ~spl8_9)),
% 20.81/4.32 inference(subsumption_resolution,[status(thm)],[f1129,f972])).
% 20.81/4.32 thf(f972,plain,(
% 20.81/4.32 ($true = (sK2 @ (sK6 @ sK2))) | (spl8_4 | ~spl8_6 | ~spl8_9)),
% 20.81/4.32 inference(subsumption_resolution,[status(thm)],[f944,f54])).
% 20.81/4.32 thf(f944,plain,(
% 20.81/4.32 ((sK2 @ sK1) != $true) | ($true = (sK2 @ (sK6 @ sK2))) | (spl8_4 | ~spl8_9)),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f928])).
% 20.81/4.32 thf(f928,plain,(
% 20.81/4.32 ($true != $true) | ((sK2 @ sK1) != $true) | ($true = (sK2 @ (sK6 @ sK2))) | (spl8_4 | ~spl8_9)),
% 20.81/4.32 inference(superposition,[status(thm)],[f927,f66])).
% 20.81/4.32 thf(f66,plain,(
% 20.81/4.32 ( ! [X3 : $i] : (((sK0 @ sK2 @ X3) = $true) | ($true != (sK2 @ X3))) ) | ~spl8_9),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f65])).
% 20.81/4.32 thf(f65,definition,(
% 20.81/4.32 spl8_9 <=> ! [X3 : $i] : (((sK0 @ sK2 @ X3) = $true) | ($true != (sK2 @ X3)))),
% 20.81/4.32 introduced(definition,[new_symbols(naming,[spl8_9])],[avatar_definition])).
% 20.81/4.32 thf(f927,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o] : (((sK0 @ X0 @ sK1) != $true) | ($true = (X0 @ (sK6 @ X0)))) ) | spl8_4),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f923])).
% 20.81/4.32 thf(f923,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o] : (($true != $true) | ($true = (X0 @ (sK6 @ X0))) | ((sK0 @ X0 @ sK1) != $true)) ) | spl8_4),
% 20.81/4.32 inference(superposition,[status(thm)],[f44,f22])).
% 20.81/4.32 thf(f22,plain,(
% 20.81/4.32 ( ! [X10 : $i > $o,X11 : $i] : (($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11)) | ($true = (X10 @ (sK6 @ X10))) | ((sK0 @ X10 @ X11) != $true)) )),
% 20.81/4.32 inference(cnf_transformation,[status(thm)],[f19])).
% 20.81/4.32 thf(f19,plain,(
% 20.81/4.32 (((((sK2 @ sK1) = $true) & ! [X3 : $i] : (((sK0 @ sK2 @ X3) = $true) | ($true != (sK2 @ X3)))) & ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) | ! [X4 : $i] : (((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4) = $true) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)))) & ((! [X6 : $i > $o] : ((((X6 @ (sK4 @ X6)) = $true) & ($true != (sK0 @ X6 @ (sK4 @ X6)))) | ($true != (X6 @ sK3))) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3))) & ((! [X9 : $i] : (($true != (sK5 @ X9)) | ($true = (sK0 @ sK5 @ X9))) & ($true = (sK5 @ sK3))) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3)))) & ! [X10 : $i > $o] : (! [X11 : $i] : (((sK0 @ X10 @ X11) != $true) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11))) | (($true = (X10 @ (sK6 @ X10))) & ! [X13 : $i > $o] : ((((X13 @ (sK7 @ X13)) = $true) & ($true != (sK0 @ X13 @ (sK7 @ X13)))) | ($true != (X13 @ (sK6 @ X10))))))),
% 20.81/4.32 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f10,f18,f17,f16,f15,f14,f13,f12,f11])).
% 20.81/4.32 thf(f11,plain,(
% 20.81/4.32 ? [X0 : ($i > $o) > $i > $o] : ((? [X1 : $i] : (? [X2 : $i > $o] : (($true = (X2 @ X1)) & ! [X3 : $i] : (($true = (X0 @ X2 @ X3)) | ($true != (X2 @ X3)))) & ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1) != $true)) | ! [X4 : $i] : (((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X4) = $true) | ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X4) != $true))) & ? [X5 : $i] : ((! [X6 : $i > $o] : (? [X7 : $i] : (((X6 @ X7) = $true) & ($true != (X0 @ X6 @ X7))) | ((X6 @ X5) != $true)) | ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5))) & (? [X8 : $i > $o] : (! [X9 : $i] : (((X8 @ X9) != $true) | ((X0 @ X8 @ X9) = $true)) & ($true = (X8 @ X5))) | ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5)))) & ! [X10 : $i > $o] : (! [X11 : $i] : (($true != (X0 @ X10 @ X11)) | ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X11))) | ? [X12 : $i] : (($true = (X10 @ X12)) & ! [X13 : $i > $o] : (? [X14 : $i] : (((X13 @ X14) = $true) & ((X0 @ X13 @ X14) != $true)) | ($true != (X13 @ X12)))))) => ((? [X1 : $i] : (? [X2 : $i > $o] : (($true = (X2 @ X1)) & ! [X3 : $i] : (($true = (sK0 @ X2 @ X3)) | ($true != (X2 @ X3)))) & ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X1))) | ! [X4 : $i] : (((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4) = $true) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)))) & ? [X5 : $i] : ((! [X6 : $i > $o] : (? [X7 : $i] : (((X6 @ X7) = $true) & ($true != (sK0 @ X6 @ X7))) | ((X6 @ X5) != $true)) | ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X5) != $true)) & (? [X8 : $i > $o] : (! [X9 : $i] : (((X8 @ X9) != $true) | ($true = (sK0 @ X8 @ X9))) & ($true = (X8 @ X5))) | ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X5) = $true))) & ! [X10 : $i > $o] : (! [X11 : $i] : (((sK0 @ X10 @ X11) != $true) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11))) | ? [X12 : $i] : (($true = (X10 @ X12)) & ! [X13 : $i > $o] : (? [X14 : $i] : (((X13 @ X14) = $true) & ((sK0 @ X13 @ X14) != $true)) | ($true != (X13 @ X12))))))),
% 20.81/4.32 introduced(definition,[],[choice_axiom])).
% 20.81/4.32 thf(f12,plain,(
% 20.81/4.32 ? [X1 : $i] : (? [X2 : $i > $o] : (($true = (X2 @ X1)) & ! [X3 : $i] : (($true = (sK0 @ X2 @ X3)) | ($true != (X2 @ X3)))) & ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X1))) => (? [X2 : $i > $o] : (((X2 @ sK1) = $true) & ! [X3 : $i] : (($true = (sK0 @ X2 @ X3)) | ($true != (X2 @ X3)))) & ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)))),
% 20.81/4.32 introduced(definition,[],[choice_axiom])).
% 20.81/4.32 thf(f13,plain,(
% 20.81/4.32 ? [X2 : $i > $o] : (((X2 @ sK1) = $true) & ! [X3 : $i] : (($true = (sK0 @ X2 @ X3)) | ($true != (X2 @ X3)))) => (((sK2 @ sK1) = $true) & ! [X3 : $i] : (((sK0 @ sK2 @ X3) = $true) | ($true != (sK2 @ X3))))),
% 20.81/4.32 introduced(definition,[],[choice_axiom])).
% 20.81/4.32 thf(f14,plain,(
% 20.81/4.32 ? [X5 : $i] : ((! [X6 : $i > $o] : (? [X7 : $i] : (((X6 @ X7) = $true) & ($true != (sK0 @ X6 @ X7))) | ((X6 @ X5) != $true)) | ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X5) != $true)) & (? [X8 : $i > $o] : (! [X9 : $i] : (((X8 @ X9) != $true) | ($true = (sK0 @ X8 @ X9))) & ($true = (X8 @ X5))) | ((sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X5) = $true))) => ((! [X6 : $i > $o] : (? [X7 : $i] : (((X6 @ X7) = $true) & ($true != (sK0 @ X6 @ X7))) | ($true != (X6 @ sK3))) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3))) & (? [X8 : $i > $o] : (! [X9 : $i] : (((X8 @ X9) != $true) | ($true = (sK0 @ X8 @ X9))) & ($true = (X8 @ sK3))) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3))))),
% 20.81/4.32 introduced(definition,[],[choice_axiom])).
% 20.81/4.32 thf(f15,plain,(
% 20.81/4.32 ! [X6 : $i > $o] : (? [X7 : $i] : (((X6 @ X7) = $true) & ($true != (sK0 @ X6 @ X7))) => (((X6 @ (sK4 @ X6)) = $true) & ($true != (sK0 @ X6 @ (sK4 @ X6)))))),
% 20.81/4.32 introduced(definition,[],[choice_axiom])).
% 20.81/4.32 thf(f16,plain,(
% 20.81/4.32 ? [X8 : $i > $o] : (! [X9 : $i] : (((X8 @ X9) != $true) | ($true = (sK0 @ X8 @ X9))) & ($true = (X8 @ sK3))) => (! [X9 : $i] : (($true != (sK5 @ X9)) | ($true = (sK0 @ sK5 @ X9))) & ($true = (sK5 @ sK3)))),
% 20.81/4.32 introduced(definition,[],[choice_axiom])).
% 20.81/4.32 thf(f17,plain,(
% 20.81/4.32 ! [X10 : $i > $o] : (? [X12 : $i] : (($true = (X10 @ X12)) & ! [X13 : $i > $o] : (? [X14 : $i] : (((X13 @ X14) = $true) & ((sK0 @ X13 @ X14) != $true)) | ($true != (X13 @ X12)))) => (($true = (X10 @ (sK6 @ X10))) & ! [X13 : $i > $o] : (? [X14 : $i] : (((X13 @ X14) = $true) & ((sK0 @ X13 @ X14) != $true)) | ($true != (X13 @ (sK6 @ X10))))))),
% 20.81/4.32 introduced(definition,[],[choice_axiom])).
% 20.81/4.32 thf(f18,plain,(
% 20.81/4.32 ! [X13 : $i > $o] : (? [X14 : $i] : (((X13 @ X14) = $true) & ((sK0 @ X13 @ X14) != $true)) => (((X13 @ (sK7 @ X13)) = $true) & ($true != (sK0 @ X13 @ (sK7 @ X13)))))),
% 20.81/4.32 introduced(definition,[],[choice_axiom])).
% 20.81/4.32 thf(f10,plain,(
% 20.81/4.32 ? [X0 : ($i > $o) > $i > $o] : ((? [X1 : $i] : (? [X2 : $i > $o] : (($true = (X2 @ X1)) & ! [X3 : $i] : (($true = (X0 @ X2 @ X3)) | ($true != (X2 @ X3)))) & ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X1) != $true)) | ! [X4 : $i] : (((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X4) = $true) | ((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X4) != $true))) & ? [X5 : $i] : ((! [X6 : $i > $o] : (? [X7 : $i] : (((X6 @ X7) = $true) & ($true != (X0 @ X6 @ X7))) | ((X6 @ X5) != $true)) | ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5))) & (? [X8 : $i > $o] : (! [X9 : $i] : (((X8 @ X9) != $true) | ((X0 @ X8 @ X9) = $true)) & ($true = (X8 @ X5))) | ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5)))) & ! [X10 : $i > $o] : (! [X11 : $i] : (($true != (X0 @ X10 @ X11)) | ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X11))) | ? [X12 : $i] : (($true = (X10 @ X12)) & ! [X13 : $i > $o] : (? [X14 : $i] : (((X13 @ X14) = $true) & ((X0 @ X13 @ X14) != $true)) | ($true != (X13 @ X12))))))),
% 20.81/4.32 inference(rectify,[status(thm)],[f9])).
% 20.81/4.32 thf(f9,plain,(
% 20.81/4.32 ? [X0 : ($i > $o) > $i > $o] : ((? [X6 : $i] : (? [X7 : $i > $o] : (($true = (X7 @ X6)) & ! [X8 : $i] : (($true = (X0 @ X7 @ X8)) | ($true != (X7 @ X8)))) & ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X6))) | ! [X9 : $i] : (((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X9) = $true) | ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)))) & ? [X10 : $i] : ((! [X11 : $i > $o] : (? [X12 : $i] : (($true = (X11 @ X12)) & ((X0 @ X11 @ X12) != $true)) | ((X11 @ X10) != $true)) | ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10))) & (? [X11 : $i > $o] : (! [X12 : $i] : (($true != (X11 @ X12)) | ((X0 @ X11 @ X12) = $true)) & ((X11 @ X10) = $true)) | ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10)))) & ! [X1 : $i > $o] : (! [X5 : $i] : (((X0 @ X1 @ X5) != $true) | ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5))) | ? [X2 : $i] : (((X1 @ X2) = $true) & ! [X3 : $i > $o] : (? [X4 : $i] : (((X3 @ X4) = $true) & ((X0 @ X3 @ X4) != $true)) | ((X3 @ X2) != $true)))))),
% 20.81/4.32 inference(nnf_transformation,[status(thm)],[f8])).
% 20.81/4.32 thf(f8,plain,(
% 20.81/4.32 ? [X0 : ($i > $o) > $i > $o] : ((? [X6 : $i] : (? [X7 : $i > $o] : (($true = (X7 @ X6)) & ! [X8 : $i] : (($true = (X0 @ X7 @ X8)) | ($true != (X7 @ X8)))) & ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X6))) | ! [X9 : $i] : (((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X9) = $true) | ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)))) & ? [X10 : $i] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10)) <~> ? [X11 : $i > $o] : (! [X12 : $i] : (($true != (X11 @ X12)) | ((X0 @ X11 @ X12) = $true)) & ((X11 @ X10) = $true))) & ! [X1 : $i > $o] : (! [X5 : $i] : (((X0 @ X1 @ X5) != $true) | ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5))) | ? [X2 : $i] : (((X1 @ X2) = $true) & ! [X3 : $i > $o] : (? [X4 : $i] : (((X3 @ X4) = $true) & ((X0 @ X3 @ X4) != $true)) | ((X3 @ X2) != $true)))))),
% 20.81/4.32 inference(flattening,[status(thm)],[f7])).
% 20.81/4.32 thf(f7,plain,(
% 20.81/4.32 ? [X0 : ($i > $o) > $i > $o] : (? [X10 : $i] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10)) <~> ? [X11 : $i > $o] : (! [X12 : $i] : (($true != (X11 @ X12)) | ((X0 @ X11 @ X12) = $true)) & ((X11 @ X10) = $true))) & (! [X1 : $i > $o] : (! [X5 : $i] : (((X0 @ X1 @ X5) != $true) | ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5))) | ? [X2 : $i] : (((X1 @ X2) = $true) & ! [X3 : $i > $o] : (? [X4 : $i] : (((X3 @ X4) = $true) & ((X0 @ X3 @ X4) != $true)) | ((X3 @ X2) != $true)))) & (? [X6 : $i] : (? [X7 : $i > $o] : (($true = (X7 @ X6)) & ! [X8 : $i] : (($true = (X0 @ X7 @ X8)) | ($true != (X7 @ X8)))) & ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X6))) | ! [X9 : $i] : (((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X9) = $true) | ($true != (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9))))))),
% 20.81/4.32 inference(ennf_transformation,[status(thm)],[f6])).
% 20.81/4.32 thf(f6,plain,(
% 20.81/4.32 ~! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2 : $i] : (((X1 @ X2) = $true) => ? [X3 : $i > $o] : (! [X4 : $i] : (((X3 @ X4) = $true) => ((X0 @ X3 @ X4) = $true)) & ((X3 @ X2) = $true))) => ! [X5 : $i] : (((X0 @ X1 @ X5) = $true) => ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5)))) & (! [X6 : $i] : (? [X7 : $i > $o] : (! [X8 : $i] : (($true = (X7 @ X8)) => ($true = (X0 @ X7 @ X8))) & ($true = (X7 @ X6))) => ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X6))) => ! [X9 : $i] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9)) => ((X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X9) = $true)))) => ! [X10 : $i] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X10)) <=> ? [X11 : $i > $o] : (((X11 @ X10) = $true) & ! [X12 : $i] : (($true = (X11 @ X12)) => ((X0 @ X11 @ X12) = $true)))))),
% 20.81/4.32 inference(rectify,[status(thm)],[f5])).
% 20.81/4.32 thf(f5,plain,(
% 20.81/4.32 ~! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2 : $i] : (((X1 @ X2) = $true) => ? [X3 : $i > $o] : (! [X4 : $i] : (((X3 @ X4) = $true) => ((X0 @ X3 @ X4) = $true)) & ((X3 @ X2) = $true))) => ! [X5 : $i] : (((X0 @ X1 @ X5) = $true) => ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X5)))) & (! [X9 : $i] : (? [X10 : $i > $o] : (! [X11 : $i] : (($true = (X10 @ X11)) => ($true = (X0 @ X10 @ X11))) & ($true = (X10 @ X9))) => ($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X9))) => ! [X15 : $i] : (((X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X15) = $true) => ($true = (X0 @ (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2))))))))) @ X15))))) => ! [X22 : $i] : (($true = (X0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (X0 @ Y1 @ Y2)))))))) @ X22)) <=> ? [X26 : $i > $o] : (($true = (X26 @ X22)) & ! [X27 : $i] : (($true = (X26 @ X27)) => ((X0 @ X26 @ X27) = $true)))))),
% 20.81/4.32 inference(fool_elimination,[status(thm)],[f4])).
% 20.81/4.32 thf(f4,plain,(
% 20.81/4.32 ~! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2 : $i] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X5 : $i] : ((X0 @ X1 @ X5) => (X0 @ (^[X6 : $i] : (? [X7 : $i > $o] : (! [X8 : $i] : ((X7 @ X8) => (X0 @ X7 @ X8)) & (X7 @ X6)))) @ X5))) & (! [X9 : $i] : (? [X10 : $i > $o] : (! [X11 : $i] : ((X10 @ X11) => (X0 @ X10 @ X11)) & (X10 @ X9)) => (X0 @ (^[X12 : $i] : (? [X13 : $i > $o] : (! [X14 : $i] : ((X13 @ X14) => (X0 @ X13 @ X14)) & (X13 @ X12)))) @ X9)) => ! [X15 : $i] : ((X0 @ (^[X16 : $i] : (? [X17 : $i > $o] : (! [X18 : $i] : ((X17 @ X18) => (X0 @ X17 @ X18)) & (X17 @ X16)))) @ X15) => (X0 @ (X0 @ (^[X19 : $i] : (? [X20 : $i > $o] : (! [X21 : $i] : ((X20 @ X21) => (X0 @ X20 @ X21)) & (X20 @ X19))))) @ X15)))) => ! [X22 : $i] : ((X0 @ (^[X23 : $i] : (? [X24 : $i > $o] : (! [X25 : $i] : ((X24 @ X25) => (X0 @ X24 @ X25)) & (X24 @ X23)))) @ X22) <=> ? [X26 : $i > $o] : ((X26 @ X22) & ! [X27 : $i] : ((X26 @ X27) => (X0 @ X26 @ X27)))))),
% 20.81/4.32 inference(rectify,[status(thm)],[f2])).
% 20.81/4.32 thf(f2,negated_conjecture,(
% 20.81/4.32 ~! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2 : $i] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X2 : $i] : ((X0 @ X1 @ X2) => (X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : (! [X5 : $i] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4)))) @ X2))) & (! [X1 : $i] : (? [X3 : $i > $o] : (! [X2 : $i] : ((X3 @ X2) => (X0 @ X3 @ X2)) & (X3 @ X1)) => (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)) => ! [X1 : $i] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) => (X0 @ (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))))) @ X1)))) => ! [X1 : $i] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) <=> ? [X3 : $i > $o] : ((X3 @ X1) & ! [X2 : $i] : ((X3 @ X2) => (X0 @ X3 @ X2)))))),
% 20.81/4.32 inference(negated_conjecture,[status(cth)],[f1])).
% 20.81/4.32 thf(f1,conjecture,(
% 20.81/4.32 ! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2 : $i] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X2 : $i] : ((X0 @ X1 @ X2) => (X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : (! [X5 : $i] : ((X3 @ X5) => (X0 @ X3 @ X5)) & (X3 @ X4)))) @ X2))) & (! [X1 : $i] : (? [X3 : $i > $o] : (! [X2 : $i] : ((X3 @ X2) => (X0 @ X3 @ X2)) & (X3 @ X1)) => (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1)) => ! [X1 : $i] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) => (X0 @ (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))))) @ X1)))) => ! [X1 : $i] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : (! [X4 : $i] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2)))) @ X1) <=> ? [X3 : $i > $o] : ((X3 @ X1) & ! [X2 : $i] : ((X3 @ X2) => (X0 @ X3 @ X2)))))),
% 20.81/4.32 file('/export/starexec/sandbox/tmp/tmp.FhpW2Qq8uZ/DTF2THF_17436.p',cTHM2C_pme)).
% 20.81/4.32 thf(f44,plain,(
% 20.81/4.32 ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1)) | spl8_4),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f42])).
% 20.81/4.32 thf(f42,definition,(
% 20.81/4.32 spl8_4 <=> ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))),
% 20.81/4.32 introduced(definition,[new_symbols(naming,[spl8_4])],[avatar_definition])).
% 20.81/4.32 thf(f1129,plain,(
% 20.81/4.32 ($true != (sK2 @ (sK6 @ sK2))) | ((sK2 @ sK1) != $true) | (spl8_4 | ~spl8_9)),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f1121])).
% 20.81/4.32 thf(f1121,plain,(
% 20.81/4.32 ($true != (sK2 @ (sK6 @ sK2))) | ((sK2 @ sK1) != $true) | ($true != $true) | (spl8_4 | ~spl8_9)),
% 20.81/4.32 inference(superposition,[status(thm)],[f1044,f66])).
% 20.81/4.32 thf(f1044,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o] : (((sK0 @ X0 @ sK1) != $true) | ($true != (sK2 @ (sK6 @ X0)))) ) | (spl8_4 | ~spl8_9)),
% 20.81/4.32 inference(subsumption_resolution,[status(thm)],[f1013,f926])).
% 20.81/4.32 thf(f926,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (sK0 @ X1 @ sK1)) | ($true = (X0 @ (sK7 @ X0))) | ($true != (X0 @ (sK6 @ X1)))) ) | spl8_4),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f922])).
% 20.81/4.32 thf(f922,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true = (X0 @ (sK7 @ X0))) | ($true != (sK0 @ X1 @ sK1)) | ($true != $true) | ($true != (X0 @ (sK6 @ X1)))) ) | spl8_4),
% 20.81/4.32 inference(superposition,[status(thm)],[f44,f21])).
% 20.81/4.32 thf(f21,plain,(
% 20.81/4.32 ( ! [X10 : $i > $o,X11 : $i,X13 : $i > $o] : (($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11)) | ((X13 @ (sK7 @ X13)) = $true) | ((sK0 @ X10 @ X11) != $true) | ($true != (X13 @ (sK6 @ X10)))) )),
% 20.81/4.32 inference(cnf_transformation,[status(thm)],[f19])).
% 20.81/4.32 thf(f1013,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o] : (((sK0 @ X0 @ sK1) != $true) | ($true != (sK2 @ (sK6 @ X0))) | ($true != (sK2 @ (sK7 @ sK2)))) ) | (spl8_4 | ~spl8_9)),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f998])).
% 20.81/4.32 thf(f998,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o] : (($true != (sK2 @ (sK6 @ X0))) | ((sK0 @ X0 @ sK1) != $true) | ($true != (sK2 @ (sK7 @ sK2))) | ($true != $true)) ) | (spl8_4 | ~spl8_9)),
% 20.81/4.32 inference(superposition,[status(thm)],[f925,f66])).
% 20.81/4.32 thf(f925,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (sK0 @ X1 @ (sK7 @ X1))) | ($true != (X1 @ (sK6 @ X0))) | ((sK0 @ X0 @ sK1) != $true)) ) | spl8_4),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f921])).
% 20.81/4.32 thf(f921,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (X1 @ (sK6 @ X0))) | ($true != (sK0 @ X1 @ (sK7 @ X1))) | ((sK0 @ X0 @ sK1) != $true) | ($true != $true)) ) | spl8_4),
% 20.81/4.32 inference(superposition,[status(thm)],[f44,f20])).
% 20.81/4.32 thf(f20,plain,(
% 20.81/4.32 ( ! [X10 : $i > $o,X11 : $i,X13 : $i > $o] : (($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X11)) | ((sK0 @ X10 @ X11) != $true) | ($true != (X13 @ (sK6 @ X10))) | ($true != (sK0 @ X13 @ (sK7 @ X13)))) )),
% 20.81/4.32 inference(cnf_transformation,[status(thm)],[f19])).
% 20.81/4.32 thf(f891,plain,(
% 20.81/4.32 ~spl8_1 | ~spl8_2 | ~spl8_3 | ~spl8_8),
% 20.81/4.32 inference(avatar_contradiction_clause,[status(thm)],[f890])).
% 20.81/4.32 thf(f890,plain,(
% 20.81/4.32 $false | (~spl8_1 | ~spl8_2 | ~spl8_3 | ~spl8_8)),
% 20.81/4.32 inference(subsumption_resolution,[status(thm)],[f889,f35])).
% 20.81/4.32 thf(f35,plain,(
% 20.81/4.32 ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3)) | ~spl8_2),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f34])).
% 20.81/4.32 thf(f34,definition,(
% 20.81/4.32 spl8_2 <=> ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3))),
% 20.81/4.32 introduced(definition,[new_symbols(naming,[spl8_2])],[avatar_definition])).
% 20.81/4.32 thf(f889,plain,(
% 20.81/4.32 ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3)) | (~spl8_1 | ~spl8_2 | ~spl8_3 | ~spl8_8)),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f883])).
% 20.81/4.32 thf(f883,plain,(
% 20.81/4.32 ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3)) | ($true != $true) | (~spl8_1 | ~spl8_2 | ~spl8_3 | ~spl8_8)),
% 20.81/4.32 inference(superposition,[status(thm)],[f834,f62])).
% 20.81/4.32 thf(f62,plain,(
% 20.81/4.32 ( ! [X6 : $i > $o] : (((X6 @ (sK4 @ X6)) = $true) | ($true != (X6 @ sK3))) ) | ~spl8_8),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f61])).
% 20.81/4.32 thf(f61,definition,(
% 20.81/4.32 spl8_8 <=> ! [X6 : $i > $o] : (((X6 @ (sK4 @ X6)) = $true) | ($true != (X6 @ sK3)))),
% 20.81/4.32 introduced(definition,[new_symbols(naming,[spl8_8])],[avatar_definition])).
% 20.81/4.32 thf(f834,plain,(
% 20.81/4.32 ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ (sK4 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))))))) | (~spl8_1 | ~spl8_2 | ~spl8_3)),
% 20.81/4.32 inference(subsumption_resolution,[status(thm)],[f833,f35])).
% 20.81/4.32 thf(f833,plain,(
% 20.81/4.32 ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3)) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ (sK4 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))))))) | (~spl8_1 | ~spl8_3)),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f789])).
% 20.81/4.32 thf(f789,plain,(
% 20.81/4.32 ($true != $true) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3)) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ (sK4 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))))))) | (~spl8_1 | ~spl8_3)),
% 20.81/4.32 inference(superposition,[status(thm)],[f32,f40])).
% 20.81/4.32 thf(f40,plain,(
% 20.81/4.32 ( ! [X4 : $i] : (((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4) = $true) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4))) ) | ~spl8_3),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f39])).
% 20.81/4.32 thf(f39,definition,(
% 20.81/4.32 spl8_3 <=> ! [X4 : $i] : (((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4) = $true) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)))),
% 20.81/4.32 introduced(definition,[new_symbols(naming,[spl8_3])],[avatar_definition])).
% 20.81/4.32 thf(f32,plain,(
% 20.81/4.32 ( ! [X6 : $i > $o] : (($true != (sK0 @ X6 @ (sK4 @ X6))) | ($true != (X6 @ sK3))) ) | ~spl8_1),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f31])).
% 20.81/4.32 thf(f31,definition,(
% 20.81/4.32 spl8_1 <=> ! [X6 : $i > $o] : (($true != (X6 @ sK3)) | ($true != (sK0 @ X6 @ (sK4 @ X6))))),
% 20.81/4.32 introduced(definition,[new_symbols(naming,[spl8_1])],[avatar_definition])).
% 20.81/4.32 thf(f778,plain,(
% 20.81/4.32 spl8_2 | ~spl8_5 | ~spl8_7 | ~spl8_12),
% 20.81/4.32 inference(avatar_contradiction_clause,[status(thm)],[f777])).
% 20.81/4.32 thf(f777,plain,(
% 20.81/4.32 $false | (spl8_2 | ~spl8_5 | ~spl8_7 | ~spl8_12)),
% 20.81/4.32 inference(subsumption_resolution,[status(thm)],[f776,f663])).
% 20.81/4.32 thf(f663,plain,(
% 20.81/4.32 ((sK5 @ (sK6 @ sK5)) = $true) | (spl8_2 | ~spl8_5 | ~spl8_7)),
% 20.81/4.32 inference(subsumption_resolution,[status(thm)],[f662,f49])).
% 20.81/4.32 thf(f49,plain,(
% 20.81/4.32 ($true = (sK5 @ sK3)) | ~spl8_5),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f47])).
% 20.81/4.32 thf(f47,definition,(
% 20.81/4.32 spl8_5 <=> ($true = (sK5 @ sK3))),
% 20.81/4.32 introduced(definition,[new_symbols(naming,[spl8_5])],[avatar_definition])).
% 20.81/4.32 thf(f662,plain,(
% 20.81/4.32 ($true != (sK5 @ sK3)) | ((sK5 @ (sK6 @ sK5)) = $true) | (spl8_2 | ~spl8_7)),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f624])).
% 20.81/4.32 thf(f624,plain,(
% 20.81/4.32 ($true != $true) | ($true != (sK5 @ sK3)) | ((sK5 @ (sK6 @ sK5)) = $true) | (spl8_2 | ~spl8_7)),
% 20.81/4.32 inference(superposition,[status(thm)],[f616,f58])).
% 20.81/4.32 thf(f58,plain,(
% 20.81/4.32 ( ! [X9 : $i] : (($true = (sK0 @ sK5 @ X9)) | ($true != (sK5 @ X9))) ) | ~spl8_7),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f57])).
% 20.81/4.32 thf(f57,definition,(
% 20.81/4.32 spl8_7 <=> ! [X9 : $i] : (($true = (sK0 @ sK5 @ X9)) | ($true != (sK5 @ X9)))),
% 20.81/4.32 introduced(definition,[new_symbols(naming,[spl8_7])],[avatar_definition])).
% 20.81/4.32 thf(f616,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o] : (($true != (sK0 @ X0 @ sK3)) | ($true = (X0 @ (sK6 @ X0)))) ) | spl8_2),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f614])).
% 20.81/4.32 thf(f614,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o] : (($true = (X0 @ (sK6 @ X0))) | ($true != $true) | ($true != (sK0 @ X0 @ sK3))) ) | spl8_2),
% 20.81/4.32 inference(superposition,[status(thm)],[f36,f22])).
% 20.81/4.32 thf(f36,plain,(
% 20.81/4.32 ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3)) | spl8_2),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f34])).
% 20.81/4.32 thf(f776,plain,(
% 20.81/4.32 ((sK5 @ (sK6 @ sK5)) != $true) | (spl8_2 | ~spl8_5 | ~spl8_7 | ~spl8_12)),
% 20.81/4.32 inference(subsumption_resolution,[status(thm)],[f772,f49])).
% 20.81/4.32 thf(f772,plain,(
% 20.81/4.32 ($true != (sK5 @ sK3)) | ((sK5 @ (sK6 @ sK5)) != $true) | (spl8_2 | ~spl8_7 | ~spl8_12)),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f769])).
% 20.81/4.32 thf(f769,plain,(
% 20.81/4.32 ((sK5 @ (sK6 @ sK5)) != $true) | ($true != (sK5 @ sK3)) | ($true != $true) | (spl8_2 | ~spl8_7 | ~spl8_12)),
% 20.81/4.32 inference(superposition,[status(thm)],[f748,f58])).
% 20.81/4.32 thf(f748,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o] : (($true != (sK0 @ X0 @ sK3)) | ($true != (sK5 @ (sK6 @ X0)))) ) | (spl8_2 | ~spl8_7 | ~spl8_12)),
% 20.81/4.32 inference(subsumption_resolution,[status(thm)],[f720,f111])).
% 20.81/4.32 thf(f111,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (sK0 @ X1 @ sK3)) | ($true = (X0 @ (sK7 @ X0))) | ($true != (X0 @ (sK6 @ X1)))) ) | ~spl8_12),
% 20.81/4.32 inference(avatar_component_clause,[status(thm)],[f110])).
% 20.81/4.32 thf(f110,definition,(
% 20.81/4.32 spl8_12 <=> ! [X0 : $i > $o,X1 : $i > $o] : (($true != (sK0 @ X1 @ sK3)) | ($true = (X0 @ (sK7 @ X0))) | ($true != (X0 @ (sK6 @ X1))))),
% 20.81/4.32 introduced(definition,[new_symbols(naming,[spl8_12])],[avatar_definition])).
% 20.81/4.32 thf(f720,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o] : (($true != (sK5 @ (sK7 @ sK5))) | ($true != (sK5 @ (sK6 @ X0))) | ($true != (sK0 @ X0 @ sK3))) ) | (spl8_2 | ~spl8_7)),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f709])).
% 20.81/4.32 thf(f709,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o] : (($true != (sK5 @ (sK6 @ X0))) | ($true != $true) | ($true != (sK0 @ X0 @ sK3)) | ($true != (sK5 @ (sK7 @ sK5)))) ) | (spl8_2 | ~spl8_7)),
% 20.81/4.32 inference(superposition,[status(thm)],[f618,f58])).
% 20.81/4.32 thf(f618,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (sK0 @ X1 @ (sK7 @ X1))) | ($true != (X1 @ (sK6 @ X0))) | ($true != (sK0 @ X0 @ sK3))) ) | spl8_2),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f612])).
% 20.81/4.32 thf(f612,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (sK0 @ X0 @ sK3)) | ($true != (X1 @ (sK6 @ X0))) | ($true != $true) | ($true != (sK0 @ X1 @ (sK7 @ X1)))) ) | spl8_2),
% 20.81/4.32 inference(superposition,[status(thm)],[f36,f20])).
% 20.81/4.32 thf(f121,plain,(
% 20.81/4.32 spl8_12 | spl8_2),
% 20.81/4.32 inference(avatar_split_clause,[status(thm)],[f99,f34,f110])).
% 20.81/4.32 thf(f99,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (sK0 @ X1 @ sK3)) | ($true = (X0 @ (sK7 @ X0))) | ($true != (X0 @ (sK6 @ X1)))) ) | spl8_2),
% 20.81/4.32 inference(trivial_inequality_removal,[status(thm)],[f95])).
% 20.81/4.32 thf(f95,plain,(
% 20.81/4.32 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (X0 @ (sK6 @ X1))) | ($true != $true) | ($true != (sK0 @ X1 @ sK3)) | ($true = (X0 @ (sK7 @ X0)))) ) | spl8_2),
% 20.81/4.32 inference(superposition,[status(thm)],[f36,f21])).
% 20.81/4.32 thf(f67,plain,(
% 20.81/4.32 spl8_3 | spl8_9),
% 20.81/4.32 inference(avatar_split_clause,[status(thm)],[f28,f65,f39])).
% 20.81/4.32 thf(f28,plain,(
% 20.81/4.32 ( ! [X3 : $i,X4 : $i] : (((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4) = $true) | ((sK0 @ sK2 @ X3) = $true) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)) | ($true != (sK2 @ X3))) )),
% 20.81/4.32 inference(cnf_transformation,[status(thm)],[f19])).
% 20.81/4.32 thf(f63,plain,(
% 20.81/4.32 ~spl8_2 | spl8_8),
% 20.81/4.32 inference(avatar_split_clause,[status(thm)],[f26,f61,f34])).
% 20.81/4.32 thf(f26,plain,(
% 20.81/4.32 ( ! [X6 : $i > $o] : (($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3)) | ((X6 @ (sK4 @ X6)) = $true) | ($true != (X6 @ sK3))) )),
% 20.81/4.32 inference(cnf_transformation,[status(thm)],[f19])).
% 20.81/4.32 thf(f59,plain,(
% 20.81/4.32 spl8_2 | spl8_7),
% 20.81/4.32 inference(avatar_split_clause,[status(thm)],[f24,f57,f34])).
% 20.81/4.32 thf(f24,plain,(
% 20.81/4.32 ( ! [X9 : $i] : (($true = (sK0 @ sK5 @ X9)) | ($true != (sK5 @ X9)) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3))) )),
% 20.81/4.32 inference(cnf_transformation,[status(thm)],[f19])).
% 20.81/4.32 thf(f55,plain,(
% 20.81/4.32 spl8_3 | spl8_6),
% 20.81/4.32 inference(avatar_split_clause,[status(thm)],[f29,f52,f39])).
% 20.81/4.32 thf(f29,plain,(
% 20.81/4.32 ( ! [X4 : $i] : (((sK2 @ sK1) = $true) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)) | ((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4) = $true)) )),
% 20.81/4.32 inference(cnf_transformation,[status(thm)],[f19])).
% 20.81/4.32 thf(f50,plain,(
% 20.81/4.32 spl8_5 | spl8_2),
% 20.81/4.32 inference(avatar_split_clause,[status(thm)],[f23,f34,f47])).
% 20.81/4.32 thf(f23,plain,(
% 20.81/4.32 ($true = (sK5 @ sK3)) | ($true = (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3))),
% 20.81/4.32 inference(cnf_transformation,[status(thm)],[f19])).
% 20.81/4.32 thf(f45,plain,(
% 20.81/4.32 spl8_3 | ~spl8_4),
% 20.81/4.32 inference(avatar_split_clause,[status(thm)],[f27,f42,f39])).
% 20.81/4.32 thf(f27,plain,(
% 20.81/4.32 ( ! [X4 : $i] : (((sK0 @ (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2))))))))) @ X4) = $true) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ X4)) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK1))) )),
% 20.81/4.32 inference(cnf_transformation,[status(thm)],[f19])).
% 20.81/4.32 thf(f37,plain,(
% 20.81/4.32 spl8_1 | ~spl8_2),
% 20.81/4.32 inference(avatar_split_clause,[status(thm)],[f25,f34,f31])).
% 20.81/4.32 thf(f25,plain,(
% 20.81/4.32 ( ! [X6 : $i > $o] : (($true != (X6 @ sK3)) | ($true != (sK0 @ X6 @ (sK4 @ X6))) | ($true != (sK0 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK0 @ Y1 @ Y2)))))))) @ sK3))) )),
% 20.81/4.32 inference(cnf_transformation,[status(thm)],[f19])).
% 20.81/4.32 % SZS output end Proof for DTF2THF_17436
% 20.81/4.32 % (17667)------------------------------
% 20.81/4.32 % (17667)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.81/4.32 % (17667)Termination reason: Refutation
% 20.81/4.32
% 20.81/4.32 % (17667)Memory used [KB]: 6140
% 20.81/4.32 % (17667)Time elapsed: 0.125 s
% 20.81/4.32 % (17667)Instructions burned: 194 (million)
% 20.81/4.32 % (17667)------------------------------
% 20.81/4.32 % (17667)------------------------------
% 20.81/4.32 % (17532)Success in time 2.797 s
%------------------------------------------------------------------------------