%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV094^5 : 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 : n005.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 09:40:16 AM UTC 2026
% Result : Theorem 1.67s 1.31s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 89 ( 3 unt; 0 typ; 6 def)
% Number of atoms : 806 ( 354 equ; 0 cnn)
% Maximal formula atoms : 32 ( 9 avg)
% Number of connectives : 1249 ( 259 ~; 251 |; 102 &; 597 @)
% ( 6 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 47 ( 47 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 182 ( 0 ^; 124 !; 58 ?; 182 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_4,type,
sK0: a > $o ).
thf(func_def_5,type,
sK1: a > $o ).
thf(func_def_6,type,
sK2: a > a ).
thf(func_def_7,type,
sK3: a > a ).
thf(func_def_8,type,
sK4: ( a > a ) > a ).
thf(func_def_9,type,
sK5: ( a > a ) > a ).
thf(func_def_10,type,
sK6: a > ( a > a ) > a ).
thf(func_def_12,type,
ph8:
!>[X0: $tType] : X0 ).
thf(f162,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f59,f78,f83,f114,f117,f118,f120,f133,f146,f159]) ).
thf(f159,plain,
( ~ spl7_5
| ~ spl7_8
| ~ spl7_9
| ~ spl7_11 ),
inference(avatar_contradiction_clause,[status(thm)],[f158]) ).
thf(f158,plain,
( $false
| ~ spl7_5
| ~ spl7_8
| ~ spl7_9
| ~ spl7_11 ),
inference(subsumption_resolution,[status(thm)],[f156,f112]) ).
thf(f112,plain,
( ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
= $true )
| ~ spl7_11 ),
inference(avatar_component_clause,[status(thm)],[f110]) ).
thf(f110,definition,
( spl7_11
<=> ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl7_11])],[avatar_definition]) ).
thf(f156,plain,
( ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
!= $true )
| ~ spl7_5
| ~ spl7_8
| ~ spl7_9 ),
inference(trivial_inequality_removal,[status(thm)],[f151]) ).
thf(f151,plain,
( ( ( sK5 @ sK3 )
!= ( sK5 @ sK3 ) )
| ( ( sK2 @ ( sK5 @ sK3 ) )
!= ( sK2 @ ( sK5 @ sK3 ) ) )
| ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
!= $true )
| ~ spl7_5
| ~ spl7_8
| ~ spl7_9 ),
inference(superposition,[status(thm)],[f147,f102]) ).
thf(f102,plain,
( ( ( sK5 @ sK3 )
= ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
| ~ spl7_9 ),
inference(avatar_component_clause,[status(thm)],[f100]) ).
thf(f100,definition,
( spl7_9
<=> ( ( sK5 @ sK3 )
= ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl7_9])],[avatar_definition]) ).
thf(f147,plain,
( ! [X0: a] :
( ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK2 @ ( sK5 @ sK3 ) )
!= X0 )
| ( ( sK1 @ X0 )
!= $true ) )
| ~ spl7_5
| ~ spl7_8 ),
inference(subsumption_resolution,[status(thm)],[f94,f76]) ).
thf(f76,plain,
( ( $true
= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
| ~ spl7_8 ),
inference(avatar_component_clause,[status(thm)],[f75]) ).
thf(f75,definition,
( spl7_8
<=> ( $true
= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl7_8])],[avatar_definition]) ).
thf(f94,plain,
( ! [X0: a] :
( ( $true
!= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK2 @ ( sK5 @ sK3 ) )
!= X0 ) )
| ~ spl7_5 ),
inference(duplicate_literal_removal,[status(thm)],[f89]) ).
thf(f89,plain,
( ! [X0: a] :
( ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK2 @ ( sK5 @ sK3 ) )
!= X0 )
| ( $true
!= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
| ( ( sK1 @ X0 )
!= $true ) )
| ~ spl7_5 ),
inference(superposition,[status(thm)],[f21,f58]) ).
thf(f58,plain,
( ! [X0: a] :
( ( ( sK2 @ ( sK5 @ sK3 ) )
= ( sK6 @ X0 @ sK3 ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) ) )
| ~ spl7_5 ),
inference(avatar_component_clause,[status(thm)],[f57]) ).
thf(f57,definition,
( spl7_5
<=> ! [X0: a] :
( ( ( sK1 @ X0 )
!= $true )
| ( ( sK2 @ ( sK5 @ sK3 ) )
= ( sK6 @ X0 @ sK3 ) )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl7_5])],[avatar_definition]) ).
thf(f21,plain,
! [X10: a,X7: a > a] :
( ( ( sK6 @ X10 @ X7 )
!= X10 )
| ( ( sK5 @ X7 )
!= ( X7 @ X10 ) )
| ( ( sK0 @ ( X7 @ ( sK4 @ X7 ) ) )
!= $true )
| ( ( sK1 @ X10 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f15,plain,
( ! [X3: a] :
( ( ( sK1 @ ( sK2 @ X3 ) )
= $true )
| ( ( sK0 @ X3 )
!= $true ) )
& ! [X4: a] :
( ( ( ( sK0 @ ( sK3 @ X4 ) )
= $true )
& ( ( sK2 @ ( sK3 @ X4 ) )
= X4 )
& ! [X6: a] :
( ( ( sK2 @ X6 )
!= X4 )
| ( $true
!= ( sK0 @ X6 ) )
| ( ( sK3 @ X4 )
= X6 ) ) )
| ( ( sK1 @ X4 )
!= $true ) )
& ! [X7: a > a] :
( ( ( ( sK0 @ ( X7 @ ( sK4 @ X7 ) ) )
!= $true )
& ( ( sK1 @ ( sK4 @ X7 ) )
= $true ) )
| ( ! [X10: a] :
( ( ( sK5 @ X7 )
!= ( X7 @ X10 ) )
| ( ( sK1 @ X10 )
!= $true )
| ( ( ( X7 @ ( sK6 @ X10 @ X7 ) )
= ( sK5 @ X7 ) )
& ( $true
= ( sK1 @ ( sK6 @ X10 @ X7 ) ) )
& ( ( sK6 @ X10 @ X7 )
!= X10 ) ) )
& ( ( sK0 @ ( sK5 @ X7 ) )
= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f8,f14,f13,f12,f11,f10,f9]) ).
thf(f9,plain,
( ? [X0: a > $o,X1: a > $o] :
( ? [X2: a > a] :
( ! [X3: a] :
( ( ( X1 @ ( X2 @ X3 ) )
= $true )
| ( ( X0 @ X3 )
!= $true ) )
& ! [X4: a] :
( ? [X5: a] :
( ( ( X0 @ X5 )
= $true )
& ( ( X2 @ X5 )
= X4 )
& ! [X6: a] :
( ( ( X2 @ X6 )
!= X4 )
| ( ( X0 @ X6 )
!= $true )
| ( X5 = X6 ) ) )
| ( ( X1 @ X4 )
!= $true ) ) )
& ! [X7: a > a] :
( ? [X8: a] :
( ( ( X0 @ ( X7 @ X8 ) )
!= $true )
& ( ( X1 @ X8 )
= $true ) )
| ? [X9: a] :
( ! [X10: a] :
( ( ( X7 @ X10 )
!= X9 )
| ( $true
!= ( X1 @ X10 ) )
| ? [X11: a] :
( ( ( X7 @ X11 )
= X9 )
& ( ( X1 @ X11 )
= $true )
& ( X10 != X11 ) ) )
& ( ( X0 @ X9 )
= $true ) ) ) )
=> ( ? [X2: a > a] :
( ! [X3: a] :
( ( ( sK1 @ ( X2 @ X3 ) )
= $true )
| ( ( sK0 @ X3 )
!= $true ) )
& ! [X4: a] :
( ? [X5: a] :
( ( ( sK0 @ X5 )
= $true )
& ( ( X2 @ X5 )
= X4 )
& ! [X6: a] :
( ( ( X2 @ X6 )
!= X4 )
| ( $true
!= ( sK0 @ X6 ) )
| ( X5 = X6 ) ) )
| ( ( sK1 @ X4 )
!= $true ) ) )
& ! [X7: a > a] :
( ? [X8: a] :
( ( ( sK0 @ ( X7 @ X8 ) )
!= $true )
& ( ( sK1 @ X8 )
= $true ) )
| ? [X9: a] :
( ! [X10: a] :
( ( ( X7 @ X10 )
!= X9 )
| ( ( sK1 @ X10 )
!= $true )
| ? [X11: a] :
( ( ( X7 @ X11 )
= X9 )
& ( ( sK1 @ X11 )
= $true )
& ( X10 != X11 ) ) )
& ( ( sK0 @ X9 )
= $true ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10,plain,
( ? [X2: a > a] :
( ! [X3: a] :
( ( ( sK1 @ ( X2 @ X3 ) )
= $true )
| ( ( sK0 @ X3 )
!= $true ) )
& ! [X4: a] :
( ? [X5: a] :
( ( ( sK0 @ X5 )
= $true )
& ( ( X2 @ X5 )
= X4 )
& ! [X6: a] :
( ( ( X2 @ X6 )
!= X4 )
| ( $true
!= ( sK0 @ X6 ) )
| ( X5 = X6 ) ) )
| ( ( sK1 @ X4 )
!= $true ) ) )
=> ( ! [X3: a] :
( ( ( sK1 @ ( sK2 @ X3 ) )
= $true )
| ( ( sK0 @ X3 )
!= $true ) )
& ! [X4: a] :
( ? [X5: a] :
( ( ( sK0 @ X5 )
= $true )
& ( ( sK2 @ X5 )
= X4 )
& ! [X6: a] :
( ( ( sK2 @ X6 )
!= X4 )
| ( $true
!= ( sK0 @ X6 ) )
| ( X5 = X6 ) ) )
| ( ( sK1 @ X4 )
!= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f11,plain,
! [X4: a] :
( ? [X5: a] :
( ( ( sK0 @ X5 )
= $true )
& ( ( sK2 @ X5 )
= X4 )
& ! [X6: a] :
( ( ( sK2 @ X6 )
!= X4 )
| ( $true
!= ( sK0 @ X6 ) )
| ( X5 = X6 ) ) )
=> ( ( ( sK0 @ ( sK3 @ X4 ) )
= $true )
& ( ( sK2 @ ( sK3 @ X4 ) )
= X4 )
& ! [X6: a] :
( ( ( sK2 @ X6 )
!= X4 )
| ( $true
!= ( sK0 @ X6 ) )
| ( ( sK3 @ X4 )
= X6 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f12,plain,
! [X7: a > a] :
( ? [X8: a] :
( ( ( sK0 @ ( X7 @ X8 ) )
!= $true )
& ( ( sK1 @ X8 )
= $true ) )
=> ( ( ( sK0 @ ( X7 @ ( sK4 @ X7 ) ) )
!= $true )
& ( ( sK1 @ ( sK4 @ X7 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f13,plain,
! [X7: a > a] :
( ? [X9: a] :
( ! [X10: a] :
( ( ( X7 @ X10 )
!= X9 )
| ( ( sK1 @ X10 )
!= $true )
| ? [X11: a] :
( ( ( X7 @ X11 )
= X9 )
& ( ( sK1 @ X11 )
= $true )
& ( X10 != X11 ) ) )
& ( ( sK0 @ X9 )
= $true ) )
=> ( ! [X10: a] :
( ( ( sK5 @ X7 )
!= ( X7 @ X10 ) )
| ( ( sK1 @ X10 )
!= $true )
| ? [X11: a] :
( ( ( X7 @ X11 )
= ( sK5 @ X7 ) )
& ( ( sK1 @ X11 )
= $true )
& ( X10 != X11 ) ) )
& ( ( sK0 @ ( sK5 @ X7 ) )
= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f14,plain,
! [X7: a > a,X10: a] :
( ? [X11: a] :
( ( ( X7 @ X11 )
= ( sK5 @ X7 ) )
& ( ( sK1 @ X11 )
= $true )
& ( X10 != X11 ) )
=> ( ( ( X7 @ ( sK6 @ X10 @ X7 ) )
= ( sK5 @ X7 ) )
& ( $true
= ( sK1 @ ( sK6 @ X10 @ X7 ) ) )
& ( ( sK6 @ X10 @ X7 )
!= X10 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f8,plain,
? [X0: a > $o,X1: a > $o] :
( ? [X2: a > a] :
( ! [X3: a] :
( ( ( X1 @ ( X2 @ X3 ) )
= $true )
| ( ( X0 @ X3 )
!= $true ) )
& ! [X4: a] :
( ? [X5: a] :
( ( ( X0 @ X5 )
= $true )
& ( ( X2 @ X5 )
= X4 )
& ! [X6: a] :
( ( ( X2 @ X6 )
!= X4 )
| ( ( X0 @ X6 )
!= $true )
| ( X5 = X6 ) ) )
| ( ( X1 @ X4 )
!= $true ) ) )
& ! [X7: a > a] :
( ? [X8: a] :
( ( ( X0 @ ( X7 @ X8 ) )
!= $true )
& ( ( X1 @ X8 )
= $true ) )
| ? [X9: a] :
( ! [X10: a] :
( ( ( X7 @ X10 )
!= X9 )
| ( $true
!= ( X1 @ X10 ) )
| ? [X11: a] :
( ( ( X7 @ X11 )
= X9 )
& ( ( X1 @ X11 )
= $true )
& ( X10 != X11 ) ) )
& ( ( X0 @ X9 )
= $true ) ) ) ),
inference(rectify,[status(thm)],[f7]) ).
thf(f7,plain,
? [X1: a > $o,X0: a > $o] :
( ? [X2: a > a] :
( ! [X3: a] :
( ( ( X0 @ ( X2 @ X3 ) )
= $true )
| ( ( X1 @ X3 )
!= $true ) )
& ! [X4: a] :
( ? [X5: a] :
( ( ( X1 @ X5 )
= $true )
& ( ( X2 @ X5 )
= X4 )
& ! [X6: a] :
( ( ( X2 @ X6 )
!= X4 )
| ( $true
!= ( X1 @ X6 ) )
| ( X5 = X6 ) ) )
| ( ( X0 @ X4 )
!= $true ) ) )
& ! [X7: a > a] :
( ? [X11: a] :
( ( $true
!= ( X1 @ ( X7 @ X11 ) ) )
& ( ( X0 @ X11 )
= $true ) )
| ? [X8: a] :
( ! [X9: a] :
( ( ( X7 @ X9 )
!= X8 )
| ( ( X0 @ X9 )
!= $true )
| ? [X10: a] :
( ( ( X7 @ X10 )
= X8 )
& ( ( X0 @ X10 )
= $true )
& ( X9 != X10 ) ) )
& ( ( X1 @ X8 )
= $true ) ) ) ),
inference(flattening,[status(thm)],[f6]) ).
thf(f6,plain,
? [X1: a > $o,X0: a > $o] :
( ! [X7: a > a] :
( ? [X11: a] :
( ( $true
!= ( X1 @ ( X7 @ X11 ) ) )
& ( ( X0 @ X11 )
= $true ) )
| ? [X8: a] :
( ! [X9: a] :
( ( ( X0 @ X9 )
!= $true )
| ( ( X7 @ X9 )
!= X8 )
| ? [X10: a] :
( ( X9 != X10 )
& ( ( X7 @ X10 )
= X8 )
& ( ( X0 @ X10 )
= $true ) ) )
& ( ( X1 @ X8 )
= $true ) ) )
& ? [X2: a > a] :
( ! [X4: a] :
( ? [X5: a] :
( ! [X6: a] :
( ( X5 = X6 )
| ( ( X2 @ X6 )
!= X4 )
| ( $true
!= ( X1 @ X6 ) ) )
& ( ( X1 @ X5 )
= $true )
& ( ( X2 @ X5 )
= X4 ) )
| ( ( X0 @ X4 )
!= $true ) )
& ! [X3: a] :
( ( ( X0 @ ( X2 @ X3 ) )
= $true )
| ( ( X1 @ X3 )
!= $true ) ) ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X1: a > $o,X0: a > $o] :
( ? [X2: a > a] :
( ! [X4: a] :
( ( ( X0 @ X4 )
= $true )
=> ? [X5: a] :
( ! [X6: a] :
( ( ( ( X2 @ X6 )
= X4 )
& ( $true
= ( X1 @ X6 ) ) )
=> ( X5 = X6 ) )
& ( ( X1 @ X5 )
= $true )
& ( ( X2 @ X5 )
= X4 ) ) )
& ! [X3: a] :
( ( ( X1 @ X3 )
= $true )
=> ( ( X0 @ ( X2 @ X3 ) )
= $true ) ) )
=> ? [X7: a > a] :
( ! [X11: a] :
( ( ( X0 @ X11 )
= $true )
=> ( $true
= ( X1 @ ( X7 @ X11 ) ) ) )
& ! [X8: a] :
( ( ( X1 @ X8 )
= $true )
=> ? [X9: a] :
( ( ( X0 @ X9 )
= $true )
& ( ( X7 @ X9 )
= X8 )
& ! [X10: a] :
( ( ( ( X7 @ X10 )
= X8 )
& ( ( X0 @ X10 )
= $true ) )
=> ( X9 = X10 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a > $o,X1: a > $o] :
( ? [X2: a > a] :
( ! [X3: a] :
( ( X1 @ X3 )
=> ( X0 @ ( X2 @ X3 ) ) )
& ! [X4: a] :
( ( X0 @ X4 )
=> ? [X5: a] :
( ! [X6: a] :
( ( ( X1 @ X6 )
& ( ( X2 @ X6 )
= X4 ) )
=> ( X5 = X6 ) )
& ( ( X2 @ X5 )
= X4 )
& ( X1 @ X5 ) ) ) )
=> ? [X7: a > a] :
( ! [X8: a] :
( ( X1 @ X8 )
=> ? [X9: a] :
( ! [X10: a] :
( ( ( X0 @ X10 )
& ( ( X7 @ X10 )
= X8 ) )
=> ( X9 = X10 ) )
& ( X0 @ X9 )
& ( ( X7 @ X9 )
= X8 ) ) )
& ! [X11: a] :
( ( X0 @ X11 )
=> ( X1 @ ( X7 @ X11 ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a > $o,X0: a > $o] :
( ? [X2: a > a] :
( ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ ( X2 @ X3 ) ) )
& ! [X4: a] :
( ( X1 @ X4 )
=> ? [X3: a] :
( ! [X5: a] :
( ( ( X0 @ X5 )
& ( ( X2 @ X5 )
= X4 ) )
=> ( X3 = X5 ) )
& ( ( X2 @ X3 )
= X4 )
& ( X0 @ X3 ) ) ) )
=> ? [X2: a > a] :
( ! [X4: a] :
( ( X0 @ X4 )
=> ? [X3: a] :
( ! [X5: a] :
( ( ( X1 @ X5 )
& ( ( X2 @ X5 )
= X4 ) )
=> ( X3 = X5 ) )
& ( X1 @ X3 )
& ( ( X2 @ X3 )
= X4 ) ) )
& ! [X3: a] :
( ( X1 @ X3 )
=> ( X0 @ ( X2 @ X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: a > $o,X0: a > $o] :
( ? [X2: a > a] :
( ! [X3: a] :
( ( X0 @ X3 )
=> ( X1 @ ( X2 @ X3 ) ) )
& ! [X4: a] :
( ( X1 @ X4 )
=> ? [X3: a] :
( ! [X5: a] :
( ( ( X0 @ X5 )
& ( ( X2 @ X5 )
= X4 ) )
=> ( X3 = X5 ) )
& ( ( X2 @ X3 )
= X4 )
& ( X0 @ X3 ) ) ) )
=> ? [X2: a > a] :
( ! [X4: a] :
( ( X0 @ X4 )
=> ? [X3: a] :
( ! [X5: a] :
( ( ( X1 @ X5 )
& ( ( X2 @ X5 )
= X4 ) )
=> ( X3 = X5 ) )
& ( X1 @ X3 )
& ( ( X2 @ X3 )
= X4 ) ) )
& ! [X3: a] :
( ( X1 @ X3 )
=> ( X0 @ ( X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.pq6WqNtBM2/DTF2THF_12404.p',cEQP1_1B_pme) ).
thf(f146,plain,
( spl7_4
| ~ spl7_5
| ~ spl7_9
| ~ spl7_11 ),
inference(avatar_contradiction_clause,[status(thm)],[f145]) ).
thf(f145,plain,
( $false
| spl7_4
| ~ spl7_5
| ~ spl7_9
| ~ spl7_11 ),
inference(subsumption_resolution,[status(thm)],[f139,f112]) ).
thf(f139,plain,
( ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
!= $true )
| spl7_4
| ~ spl7_5
| ~ spl7_9 ),
inference(trivial_inequality_removal,[status(thm)],[f136]) ).
thf(f136,plain,
( ( ( sK2 @ ( sK5 @ sK3 ) )
!= ( sK2 @ ( sK5 @ sK3 ) ) )
| ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK5 @ sK3 ) )
| spl7_4
| ~ spl7_5
| ~ spl7_9 ),
inference(superposition,[status(thm)],[f115,f102]) ).
thf(f115,plain,
( ! [X0: a] :
( ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK2 @ ( sK5 @ sK3 ) )
!= X0 )
| ( ( sK1 @ X0 )
!= $true ) )
| spl7_4
| ~ spl7_5 ),
inference(subsumption_resolution,[status(thm)],[f95,f54]) ).
thf(f54,plain,
( ( ( sK1 @ ( sK4 @ sK3 ) )
!= $true )
| spl7_4 ),
inference(avatar_component_clause,[status(thm)],[f53]) ).
thf(f53,definition,
( spl7_4
<=> ( ( sK1 @ ( sK4 @ sK3 ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl7_4])],[avatar_definition]) ).
thf(f95,plain,
( ! [X0: a] :
( ( ( sK2 @ ( sK5 @ sK3 ) )
!= X0 )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK1 @ ( sK4 @ sK3 ) )
= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) ) )
| ~ spl7_5 ),
inference(duplicate_literal_removal,[status(thm)],[f91]) ).
thf(f91,plain,
( ! [X0: a] :
( ( ( sK1 @ ( sK4 @ sK3 ) )
= $true )
| ( ( sK2 @ ( sK5 @ sK3 ) )
!= X0 )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ X0 )
!= $true ) )
| ~ spl7_5 ),
inference(superposition,[status(thm)],[f17,f58]) ).
thf(f17,plain,
! [X10: a,X7: a > a] :
( ( ( sK6 @ X10 @ X7 )
!= X10 )
| ( ( sK1 @ X10 )
!= $true )
| ( ( sK1 @ ( sK4 @ X7 ) )
= $true )
| ( ( sK5 @ X7 )
!= ( X7 @ X10 ) ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f133,plain,
~ spl7_10,
inference(avatar_contradiction_clause,[status(thm)],[f132]) ).
thf(f132,plain,
( $false
| ~ spl7_10 ),
inference(subsumption_resolution,[status(thm)],[f131,f34]) ).
thf(f34,plain,
( $true
= ( sK0 @ ( sK5 @ sK3 ) ) ),
inference(subsumption_resolution,[status(thm)],[f33,f16]) ).
thf(f16,plain,
! [X7: a > a] :
( ( ( sK1 @ ( sK4 @ X7 ) )
= $true )
| ( ( sK0 @ ( sK5 @ X7 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f33,plain,
( ( ( sK1 @ ( sK4 @ sK3 ) )
!= $true )
| ( $true
= ( sK0 @ ( sK5 @ sK3 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f32]) ).
thf(f32,plain,
( ( $true
= ( sK0 @ ( sK5 @ sK3 ) ) )
| ( $true != $true )
| ( ( sK1 @ ( sK4 @ sK3 ) )
!= $true ) ),
inference(superposition,[status(thm)],[f20,f26]) ).
thf(f26,plain,
! [X4: a] :
( ( ( sK0 @ ( sK3 @ X4 ) )
= $true )
| ( ( sK1 @ X4 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f20,plain,
! [X7: a > a] :
( ( ( sK0 @ ( X7 @ ( sK4 @ X7 ) ) )
!= $true )
| ( ( sK0 @ ( sK5 @ X7 ) )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f131,plain,
( ( $true
!= ( sK0 @ ( sK5 @ sK3 ) ) )
| ~ spl7_10 ),
inference(equality_resolution,[status(thm)],[f130]) ).
thf(f130,plain,
( ! [X0: a] :
( ( ( sK5 @ sK3 )
!= X0 )
| ( ( sK0 @ X0 )
!= $true ) )
| ~ spl7_10 ),
inference(subsumption_resolution,[status(thm)],[f125,f27]) ).
thf(f27,plain,
! [X3: a] :
( ( ( sK1 @ ( sK2 @ X3 ) )
= $true )
| ( ( sK0 @ X3 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f125,plain,
( ! [X0: a] :
( ( ( sK1 @ ( sK2 @ X0 ) )
!= $true )
| ( ( sK5 @ sK3 )
!= X0 )
| ( ( sK0 @ X0 )
!= $true ) )
| ~ spl7_10 ),
inference(superposition,[status(thm)],[f105,f29]) ).
thf(f29,plain,
! [X6: a] :
( ( ( sK3 @ ( sK2 @ X6 ) )
= X6 )
| ( $true
!= ( sK0 @ X6 ) ) ),
inference(subsumption_resolution,[status(thm)],[f28,f27]) ).
thf(f28,plain,
! [X6: a] :
( ( ( sK3 @ ( sK2 @ X6 ) )
= X6 )
| ( $true
!= ( sK0 @ X6 ) )
| ( $true
!= ( sK1 @ ( sK2 @ X6 ) ) ) ),
inference(equality_resolution,[status(thm)],[f24]) ).
thf(f24,plain,
! [X6: a,X4: a] :
( ( ( sK2 @ X6 )
!= X4 )
| ( $true
!= ( sK0 @ X6 ) )
| ( ( sK3 @ X4 )
= X6 )
| ( ( sK1 @ X4 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f105,plain,
( ! [X0: a] :
( ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ X0 )
!= $true ) )
| ~ spl7_10 ),
inference(avatar_component_clause,[status(thm)],[f104]) ).
thf(f104,definition,
( spl7_10
<=> ! [X0: a] :
( ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl7_10])],[avatar_definition]) ).
thf(f120,plain,
( spl7_9
| spl7_10
| spl7_4
| ~ spl7_5 ),
inference(avatar_split_clause,[status(thm)],[f119,f57,f53,f104,f100]) ).
thf(f119,plain,
( ! [X0: a] :
( ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
= ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) ) )
| spl7_4
| ~ spl7_5 ),
inference(subsumption_resolution,[status(thm)],[f97,f54]) ).
thf(f97,plain,
( ! [X0: a] :
( ( ( sK1 @ ( sK4 @ sK3 ) )
= $true )
| ( ( sK5 @ sK3 )
= ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ X0 )
!= $true ) )
| ~ spl7_5 ),
inference(duplicate_literal_removal,[status(thm)],[f87]) ).
thf(f87,plain,
( ! [X0: a] :
( ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
= ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK1 @ ( sK4 @ sK3 ) )
= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) ) )
| ~ spl7_5 ),
inference(superposition,[status(thm)],[f19,f58]) ).
thf(f19,plain,
! [X10: a,X7: a > a] :
( ( ( X7 @ ( sK6 @ X10 @ X7 ) )
= ( sK5 @ X7 ) )
| ( ( sK5 @ X7 )
!= ( X7 @ X10 ) )
| ( ( sK1 @ ( sK4 @ X7 ) )
= $true )
| ( ( sK1 @ X10 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f118,plain,
( spl7_11
| ~ spl7_8
| spl7_10
| ~ spl7_5 ),
inference(avatar_split_clause,[status(thm)],[f92,f57,f104,f75,f110]) ).
thf(f92,plain,
( ! [X0: a] :
( ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( $true
!= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
| ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
= $true ) )
| ~ spl7_5 ),
inference(duplicate_literal_removal,[status(thm)],[f88]) ).
thf(f88,plain,
( ! [X0: a] :
( ( $true
!= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
| ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) ) )
| ~ spl7_5 ),
inference(superposition,[status(thm)],[f22,f58]) ).
thf(f22,plain,
! [X10: a,X7: a > a] :
( ( $true
= ( sK1 @ ( sK6 @ X10 @ X7 ) ) )
| ( ( sK0 @ ( X7 @ ( sK4 @ X7 ) ) )
!= $true )
| ( ( sK1 @ X10 )
!= $true )
| ( ( sK5 @ X7 )
!= ( X7 @ X10 ) ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f117,plain,
( spl7_11
| spl7_10
| spl7_4
| ~ spl7_5 ),
inference(avatar_split_clause,[status(thm)],[f116,f57,f53,f104,f110]) ).
thf(f116,plain,
( ! [X0: a] :
( ( ( sK1 @ X0 )
!= $true )
| ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) ) )
| spl7_4
| ~ spl7_5 ),
inference(subsumption_resolution,[status(thm)],[f93,f54]) ).
thf(f93,plain,
( ! [X0: a] :
( ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK1 @ ( sK4 @ sK3 ) )
= $true )
| ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
= $true ) )
| ~ spl7_5 ),
inference(duplicate_literal_removal,[status(thm)],[f90]) ).
thf(f90,plain,
( ! [X0: a] :
( ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK1 @ ( sK4 @ sK3 ) )
= $true ) )
| ~ spl7_5 ),
inference(superposition,[status(thm)],[f18,f58]) ).
thf(f18,plain,
! [X10: a,X7: a > a] :
( ( $true
= ( sK1 @ ( sK6 @ X10 @ X7 ) ) )
| ( ( sK5 @ X7 )
!= ( X7 @ X10 ) )
| ( ( sK1 @ ( sK4 @ X7 ) )
= $true )
| ( ( sK1 @ X10 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f114,plain,
( spl7_9
| ~ spl7_8
| spl7_10
| ~ spl7_5 ),
inference(avatar_split_clause,[status(thm)],[f96,f57,f104,f75,f100]) ).
thf(f96,plain,
( ! [X0: a] :
( ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( $true
!= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
= ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) ) )
| ~ spl7_5 ),
inference(duplicate_literal_removal,[status(thm)],[f86]) ).
thf(f86,plain,
( ! [X0: a] :
( ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( $true
!= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
= ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) ) )
| ~ spl7_5 ),
inference(superposition,[status(thm)],[f23,f58]) ).
thf(f23,plain,
! [X10: a,X7: a > a] :
( ( ( X7 @ ( sK6 @ X10 @ X7 ) )
= ( sK5 @ X7 ) )
| ( ( sK0 @ ( X7 @ ( sK4 @ X7 ) ) )
!= $true )
| ( ( sK5 @ X7 )
!= ( X7 @ X10 ) )
| ( ( sK1 @ X10 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f83,plain,
( ~ spl7_4
| spl7_8 ),
inference(avatar_contradiction_clause,[status(thm)],[f82]) ).
thf(f82,plain,
( $false
| ~ spl7_4
| spl7_8 ),
inference(subsumption_resolution,[status(thm)],[f81,f55]) ).
thf(f55,plain,
( ( ( sK1 @ ( sK4 @ sK3 ) )
= $true )
| ~ spl7_4 ),
inference(avatar_component_clause,[status(thm)],[f53]) ).
thf(f81,plain,
( ( ( sK1 @ ( sK4 @ sK3 ) )
!= $true )
| spl7_8 ),
inference(trivial_inequality_removal,[status(thm)],[f80]) ).
thf(f80,plain,
( ( $true != $true )
| ( ( sK1 @ ( sK4 @ sK3 ) )
!= $true )
| spl7_8 ),
inference(superposition,[status(thm)],[f77,f26]) ).
thf(f77,plain,
( ( $true
!= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
| spl7_8 ),
inference(avatar_component_clause,[status(thm)],[f75]) ).
thf(f78,plain,
( ~ spl7_8
| spl7_5 ),
inference(avatar_split_clause,[status(thm)],[f73,f57,f75]) ).
thf(f73,plain,
! [X0: a] :
( ( ( sK2 @ ( sK5 @ sK3 ) )
= ( sK6 @ X0 @ sK3 ) )
| ( $true
!= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) ) ),
inference(subsumption_resolution,[status(thm)],[f65,f22]) ).
thf(f65,plain,
! [X0: a] :
( ( ( sK1 @ X0 )
!= $true )
| ( ( sK2 @ ( sK5 @ sK3 ) )
= ( sK6 @ X0 @ sK3 ) )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( $true
!= ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
| ( ( sK1 @ ( sK6 @ X0 @ sK3 ) )
!= $true ) ),
inference(superposition,[status(thm)],[f25,f23]) ).
thf(f25,plain,
! [X4: a] :
( ( ( sK2 @ ( sK3 @ X4 ) )
= X4 )
| ( ( sK1 @ X4 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
thf(f59,plain,
( spl7_4
| spl7_5 ),
inference(avatar_split_clause,[status(thm)],[f51,f57,f53]) ).
thf(f51,plain,
! [X0: a] :
( ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ ( sK4 @ sK3 ) )
= $true )
| ( ( sK2 @ ( sK5 @ sK3 ) )
= ( sK6 @ X0 @ sK3 ) ) ),
inference(subsumption_resolution,[status(thm)],[f36,f18]) ).
thf(f36,plain,
! [X0: a] :
( ( ( sK2 @ ( sK5 @ sK3 ) )
= ( sK6 @ X0 @ sK3 ) )
| ( ( sK1 @ ( sK6 @ X0 @ sK3 ) )
!= $true )
| ( ( sK1 @ X0 )
!= $true )
| ( ( sK5 @ sK3 )
!= ( sK3 @ X0 ) )
| ( ( sK1 @ ( sK4 @ sK3 ) )
= $true ) ),
inference(superposition,[status(thm)],[f25,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV094^5 : 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 : n005.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 12:39:59 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
% 0.28/0.46 ---- Original DTF file ---
% 0.28/0.47 thf(spec,logic,$$dhol).
% 0.28/0.47 %------------------------------------------------------------------------------
% 0.28/0.47 % File : SEV094^5 : TPTP v9.2.1. Released v4.0.0.
% 0.28/0.47 % Domain : Set Theory (Relations)
% 0.28/0.47 % Problem : TPS problem from RELN-THMS
% 0.28/0.47 % Version : Especial.
% 0.28/0.47 % English :
% 0.28/0.47
% 0.28/0.47 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.28/0.47 % Source : [Bro09]
% 0.28/0.47 % Names : tps_1063 [Bro09]
% 0.28/0.47
% 0.28/0.47 % Status : Theorem
% 0.28/0.47 % Rating : 0.33 v9.1.0, 0.25 v9.0.0, 0.40 v8.2.0, 0.38 v8.1.0, 0.36 v7.5.0, 0.29 v7.4.0, 0.56 v7.3.0, 0.67 v7.2.0, 0.62 v7.1.0, 0.75 v7.0.0, 0.71 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0, 1.00 v6.1.0, 0.86 v5.5.0, 0.83 v5.4.0, 0.60 v5.1.0, 0.80 v5.0.0, 0.60 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.28/0.47 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.28/0.47 % Number of atoms : 6 ( 6 equ; 0 cnn)
% 0.28/0.47 % Maximal formula atoms : 6 ( 6 avg)
% 0.28/0.47 % Number of connectives : 31 ( 0 ~; 0 |; 8 &; 16 @)
% 0.28/0.47 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.28/0.47 % Maximal formula depth : 15 ( 15 avg)
% 0.28/0.47 % Number of types : 2 ( 1 usr)
% 0.28/0.47 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.28/0.47 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.28/0.47 % Number of variables : 12 ( 0 ^; 8 !; 4 ?; 12 :)
% 0.28/0.47 % SPC : TH0_THM_EQU_NAR
% 0.28/0.47
% 0.28/0.47 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.28/0.47 % project in the Department of Mathematical Sciences at Carnegie
% 0.28/0.47 % Mellon University. Distributed under the Creative Commons copyleft
% 0.28/0.47 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.28/0.47 %------------------------------------------------------------------------------
% 0.28/0.47 thf(a_type,type,
% 0.28/0.47 a: $tType ).
% 0.28/0.47
% 0.28/0.47 thf(cEQP1_1B_pme,conjecture,
% 0.28/0.47 ! [Xx: a > $o,Xy: a > $o] :
% 0.28/0.47 ( ? [Xs: a > a] :
% 0.28/0.47 ( ! [Xx0: a] :
% 0.28/0.47 ( ( Xx @ Xx0 )
% 0.28/0.47 => ( Xy @ ( Xs @ Xx0 ) ) )
% 0.28/0.47 & ! [Xy0: a] :
% 0.28/0.47 ( ( Xy @ Xy0 )
% 0.28/0.47 => ? [Xx0: a] :
% 0.28/0.47 ( ( Xx @ Xx0 )
% 0.28/0.47 & ( Xy0
% 0.28/0.47 = ( Xs @ Xx0 ) )
% 0.28/0.47 & ! [Xz: a] :
% 0.28/0.47 ( ( ( Xx @ Xz )
% 0.28/0.47 & ( Xy0
% 0.28/0.47 = ( Xs @ Xz ) ) )
% 0.28/0.47 => ( Xz = Xx0 ) ) ) ) )
% 0.28/0.47 => ? [Xs: a > a] :
% 0.28/0.47 ( ! [Xx0: a] :
% 0.28/0.47 ( ( Xy @ Xx0 )
% 0.28/0.47 => ( Xx @ ( Xs @ Xx0 ) ) )
% 0.28/0.47 & ! [Xy0: a] :
% 0.28/0.47 ( ( Xx @ Xy0 )
% 0.28/0.47 => ? [Xx0: a] :
% 0.28/0.47 ( ( Xy @ Xx0 )
% 0.28/0.47 & ( Xy0
% 0.28/0.47 = ( Xs @ Xx0 ) )
% 0.28/0.47 & ! [Xz: a] :
% 0.28/0.47 ( ( ( Xy @ Xz )
% 0.28/0.47 & ( Xy0
% 0.28/0.47 = ( Xs @ Xz ) ) )
% 0.28/0.47 => ( Xz = Xx0 ) ) ) ) ) ) ).
% 0.28/0.47
% 0.28/0.47 %------------------------------------------------------------------------------
% 0.28/0.47 ------------------------
% 1.50/1.27 ---- Embedded in THF ---
% 1.50/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.50/1.27 %%% Generated on Tue Feb 24 12:40:00 EST 2026
% 1.50/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.50/1.27 %%% Logic specification used:
% 1.50/1.27 %%% thf(spec, logic, $$dhol).
% 1.50/1.27
% 1.50/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.pq6WqNtBM2/DTF2DTF12404.p
% See solution above
% 1.50/1.27 ------------------------
% 1.50/1.28 ---- Cleaned THF ---
% 1.50/1.28 thf(a_type,type,
% 1.50/1.28 a: $tType ).
% 1.50/1.28
% 1.50/1.28 thf(cEQP1_1B_pme,conjecture,
% 1.50/1.28 ! [Xx: a > $o,Xy: a > $o] :
% 1.50/1.28 ( ? [Xs: a > a] :
% 1.50/1.28 ( ! [Xx0: a] :
% 1.50/1.28 ( ( Xx @ Xx0 )
% 1.50/1.28 => ( Xy @ ( Xs @ Xx0 ) ) )
% 1.50/1.28 & ! [Xy0: a] :
% 1.50/1.28 ( ( Xy @ Xy0 )
% 1.50/1.28 => ? [Xx0: a] :
% 1.50/1.28 ( ( Xx @ Xx0 )
% 1.50/1.28 & ( Xy0
% 1.50/1.28 = ( Xs @ Xx0 ) )
% 1.50/1.28 & ! [Xz: a] :
% 1.50/1.28 ( ( ( Xx @ Xz )
% 1.50/1.28 & ( Xy0
% 1.50/1.28 = ( Xs @ Xz ) ) )
% 1.50/1.28 => ( Xz = Xx0 ) ) ) ) )
% 1.50/1.28 => ? [Xs: a > a] :
% 1.50/1.28 ( ! [Xx0: a] :
% 1.50/1.28 ( ( Xy @ Xx0 )
% 1.50/1.28 => ( Xx @ ( Xs @ Xx0 ) ) )
% 1.50/1.28 & ! [Xy0: a] :
% 1.50/1.28 ( ( Xx @ Xy0 )
% 1.50/1.28 => ? [Xx0: a] :
% 1.50/1.28 ( ( Xy @ Xx0 )
% 1.50/1.28 & ( Xy0
% 1.50/1.28 = ( Xs @ Xx0 ) )
% 1.50/1.28 & ! [Xz: a] :
% 1.50/1.28 ( ( ( Xy @ Xz )
% 1.50/1.28 & ( Xy0
% 1.50/1.28 = ( Xs @ Xz ) ) )
% 1.50/1.28 => ( Xz = Xx0 ) ) ) ) ) ) ).
% 1.50/1.28 ------------------------
% 1.67/1.30 % (12692)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_12404 for (2999ds/275Mi)
% 1.67/1.30 % (12689)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_12404 for (2999ds/27Mi)
% 1.67/1.31 % (12687)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_12404 for (2999ds/183Mi)
% 1.67/1.31 % (12688)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_12404 for (2999ds/4Mi)
% 1.67/1.31 % (12690)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_12404 for (2999ds/2Mi)
% 1.67/1.31 % (12691)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_12404 for (2999ds/2Mi)
% 1.67/1.31 % (12693)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_12404 for (2999ds/18Mi)
% 1.67/1.31 % (12691)Instruction limit reached!
% 1.67/1.31 % (12691)------------------------------
% 1.67/1.31 % (12691)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.31 % (12691)Termination reason: Unknown
% 1.67/1.31 % (12691)Termination phase: shuffling
% 1.67/1.31
% 1.67/1.31 % (12691)Memory used [KB]: 895
% 1.67/1.31 % (12691)Time elapsed: 0.003 s
% 1.67/1.31 % (12691)Instructions burned: 2 (million)
% 1.67/1.31 % (12691)------------------------------
% 1.67/1.31 % (12691)------------------------------
% 1.67/1.31 % (12690)Instruction limit reached!
% 1.67/1.31 % (12690)------------------------------
% 1.67/1.31 % (12690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.31 % (12690)Termination reason: Unknown
% 1.67/1.31 % (12690)Termination phase: Saturation
% 1.67/1.31
% 1.67/1.31 % (12690)Memory used [KB]: 1023
% 1.67/1.31 % (12690)Time elapsed: 0.004 s
% 1.67/1.31 % (12690)Instructions burned: 3 (million)
% 1.67/1.31 % (12690)------------------------------
% 1.67/1.31 % (12690)------------------------------
% 1.67/1.31 % (12688)Instruction limit reached!
% 1.67/1.31 % (12688)------------------------------
% 1.67/1.31 % (12688)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.31 % (12688)Termination reason: Unknown
% 1.67/1.31 % (12688)Termination phase: Saturation
% 1.67/1.31
% 1.67/1.31 % (12688)Memory used [KB]: 5500
% 1.67/1.31 % (12688)Time elapsed: 0.005 s
% 1.67/1.31 % (12688)Instructions burned: 4 (million)
% 1.67/1.31 % (12688)------------------------------
% 1.67/1.31 % (12688)------------------------------
% 1.67/1.31 % (12692)First to succeed.
% 1.67/1.31 % (12689)Instruction limit reached!
% 1.67/1.31 % (12689)------------------------------
% 1.67/1.31 % (12689)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.31 % (12689)Termination reason: Unknown
% 1.67/1.31 % (12689)Termination phase: Saturation
% 1.67/1.31
% 1.67/1.31 % (12689)Memory used [KB]: 5628
% 1.67/1.31 % (12689)Time elapsed: 0.012 s
% 1.67/1.31 % (12689)Instructions burned: 27 (million)
% 1.67/1.31 % (12689)------------------------------
% 1.67/1.31 % (12689)------------------------------
% 1.67/1.31 % (12692)Refutation found. Thanks to Tanya!
% 1.67/1.31 % SZS status Theorem for DTF2THF_12404
% 1.67/1.31 % SZS output start Proof for DTF2THF_12404
% 1.67/1.31 thf(type_def_5, type, a: $tType).
% 1.67/1.31 thf(func_def_0, type, a: $tType).
% 1.67/1.31 thf(func_def_4, type, sK0: a > $o).
% 1.67/1.31 thf(func_def_5, type, sK1: a > $o).
% 1.67/1.31 thf(func_def_6, type, sK2: a > a).
% 1.67/1.31 thf(func_def_7, type, sK3: a > a).
% 1.67/1.31 thf(func_def_8, type, sK4: (a > a) > a).
% 1.67/1.31 thf(func_def_9, type, sK5: (a > a) > a).
% 1.67/1.31 thf(func_def_10, type, sK6: a > (a > a) > a).
% 1.67/1.31 thf(func_def_12, type, ph8: !>[X0: $tType]:(X0)).
% 1.67/1.31 thf(f162,plain,(
% 1.67/1.31 $false),
% 1.67/1.31 inference(avatar_sat_refutation,[status(thm)],[f59,f78,f83,f114,f117,f118,f120,f133,f146,f159])).
% 1.67/1.31 thf(f159,plain,(
% 1.67/1.31 ~spl7_5 | ~spl7_8 | ~spl7_9 | ~spl7_11),
% 1.67/1.31 inference(avatar_contradiction_clause,[status(thm)],[f158])).
% 1.67/1.31 thf(f158,plain,(
% 1.67/1.31 $false | (~spl7_5 | ~spl7_8 | ~spl7_9 | ~spl7_11)),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f156,f112])).
% 1.67/1.31 thf(f112,plain,(
% 1.67/1.31 ((sK1 @ (sK2 @ (sK5 @ sK3))) = $true) | ~spl7_11),
% 1.67/1.31 inference(avatar_component_clause,[status(thm)],[f110])).
% 1.67/1.31 thf(f110,definition,(
% 1.67/1.31 spl7_11 <=> ((sK1 @ (sK2 @ (sK5 @ sK3))) = $true)),
% 1.67/1.31 introduced(definition,[new_symbols(naming,[spl7_11])],[avatar_definition])).
% 1.67/1.31 thf(f156,plain,(
% 1.67/1.31 ((sK1 @ (sK2 @ (sK5 @ sK3))) != $true) | (~spl7_5 | ~spl7_8 | ~spl7_9)),
% 1.67/1.31 inference(trivial_inequality_removal,[status(thm)],[f151])).
% 1.67/1.31 thf(f151,plain,(
% 1.67/1.31 ((sK5 @ sK3) != (sK5 @ sK3)) | ((sK2 @ (sK5 @ sK3)) != (sK2 @ (sK5 @ sK3))) | ((sK1 @ (sK2 @ (sK5 @ sK3))) != $true) | (~spl7_5 | ~spl7_8 | ~spl7_9)),
% 1.67/1.31 inference(superposition,[status(thm)],[f147,f102])).
% 1.67/1.31 thf(f102,plain,(
% 1.67/1.31 ((sK5 @ sK3) = (sK3 @ (sK2 @ (sK5 @ sK3)))) | ~spl7_9),
% 1.67/1.31 inference(avatar_component_clause,[status(thm)],[f100])).
% 1.67/1.31 thf(f100,definition,(
% 1.67/1.31 spl7_9 <=> ((sK5 @ sK3) = (sK3 @ (sK2 @ (sK5 @ sK3))))),
% 1.67/1.31 introduced(definition,[new_symbols(naming,[spl7_9])],[avatar_definition])).
% 1.67/1.31 thf(f147,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK5 @ sK3) != (sK3 @ X0)) | ((sK2 @ (sK5 @ sK3)) != X0) | ((sK1 @ X0) != $true)) ) | (~spl7_5 | ~spl7_8)),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f94,f76])).
% 1.67/1.31 thf(f76,plain,(
% 1.67/1.31 ($true = (sK0 @ (sK3 @ (sK4 @ sK3)))) | ~spl7_8),
% 1.67/1.31 inference(avatar_component_clause,[status(thm)],[f75])).
% 1.67/1.31 thf(f75,definition,(
% 1.67/1.31 spl7_8 <=> ($true = (sK0 @ (sK3 @ (sK4 @ sK3))))),
% 1.67/1.31 introduced(definition,[new_symbols(naming,[spl7_8])],[avatar_definition])).
% 1.67/1.31 thf(f94,plain,(
% 1.67/1.31 ( ! [X0 : a] : (($true != (sK0 @ (sK3 @ (sK4 @ sK3)))) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0)) | ((sK2 @ (sK5 @ sK3)) != X0)) ) | ~spl7_5),
% 1.67/1.31 inference(duplicate_literal_removal,[status(thm)],[f89])).
% 1.67/1.31 thf(f89,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0)) | ((sK5 @ sK3) != (sK3 @ X0)) | ((sK2 @ (sK5 @ sK3)) != X0) | ($true != (sK0 @ (sK3 @ (sK4 @ sK3)))) | ((sK1 @ X0) != $true)) ) | ~spl7_5),
% 1.67/1.31 inference(superposition,[status(thm)],[f21,f58])).
% 1.67/1.31 thf(f58,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK2 @ (sK5 @ sK3)) = (sK6 @ X0 @ sK3)) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0))) ) | ~spl7_5),
% 1.67/1.31 inference(avatar_component_clause,[status(thm)],[f57])).
% 1.67/1.31 thf(f57,definition,(
% 1.67/1.31 spl7_5 <=> ! [X0 : a] : (((sK1 @ X0) != $true) | ((sK2 @ (sK5 @ sK3)) = (sK6 @ X0 @ sK3)) | ((sK5 @ sK3) != (sK3 @ X0)))),
% 1.67/1.31 introduced(definition,[new_symbols(naming,[spl7_5])],[avatar_definition])).
% 1.67/1.31 thf(f21,plain,(
% 1.67/1.31 ( ! [X10 : a,X7 : a > a] : (((sK6 @ X10 @ X7) != X10) | ((sK5 @ X7) != (X7 @ X10)) | ((sK0 @ (X7 @ (sK4 @ X7))) != $true) | ((sK1 @ X10) != $true)) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f15,plain,(
% 1.67/1.31 (! [X3 : a] : (((sK1 @ (sK2 @ X3)) = $true) | ((sK0 @ X3) != $true)) & ! [X4 : a] : ((((sK0 @ (sK3 @ X4)) = $true) & ((sK2 @ (sK3 @ X4)) = X4) & ! [X6 : a] : (((sK2 @ X6) != X4) | ($true != (sK0 @ X6)) | ((sK3 @ X4) = X6))) | ((sK1 @ X4) != $true))) & ! [X7 : a > a] : ((((sK0 @ (X7 @ (sK4 @ X7))) != $true) & ((sK1 @ (sK4 @ X7)) = $true)) | (! [X10 : a] : (((sK5 @ X7) != (X7 @ X10)) | ((sK1 @ X10) != $true) | (((X7 @ (sK6 @ X10 @ X7)) = (sK5 @ X7)) & ($true = (sK1 @ (sK6 @ X10 @ X7))) & ((sK6 @ X10 @ X7) != X10))) & ((sK0 @ (sK5 @ X7)) = $true)))),
% 1.67/1.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f8,f14,f13,f12,f11,f10,f9])).
% 1.67/1.31 thf(f9,plain,(
% 1.67/1.31 ? [X0 : a > $o,X1 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : (((X1 @ (X2 @ X3)) = $true) | ((X0 @ X3) != $true)) & ! [X4 : a] : (? [X5 : a] : (((X0 @ X5) = $true) & ((X2 @ X5) = X4) & ! [X6 : a] : (((X2 @ X6) != X4) | ((X0 @ X6) != $true) | (X5 = X6))) | ((X1 @ X4) != $true))) & ! [X7 : a > a] : (? [X8 : a] : (((X0 @ (X7 @ X8)) != $true) & ((X1 @ X8) = $true)) | ? [X9 : a] : (! [X10 : a] : (((X7 @ X10) != X9) | ($true != (X1 @ X10)) | ? [X11 : a] : (((X7 @ X11) = X9) & ((X1 @ X11) = $true) & (X10 != X11))) & ((X0 @ X9) = $true)))) => (? [X2 : a > a] : (! [X3 : a] : (((sK1 @ (X2 @ X3)) = $true) | ((sK0 @ X3) != $true)) & ! [X4 : a] : (? [X5 : a] : (((sK0 @ X5) = $true) & ((X2 @ X5) = X4) & ! [X6 : a] : (((X2 @ X6) != X4) | ($true != (sK0 @ X6)) | (X5 = X6))) | ((sK1 @ X4) != $true))) & ! [X7 : a > a] : (? [X8 : a] : (((sK0 @ (X7 @ X8)) != $true) & ((sK1 @ X8) = $true)) | ? [X9 : a] : (! [X10 : a] : (((X7 @ X10) != X9) | ((sK1 @ X10) != $true) | ? [X11 : a] : (((X7 @ X11) = X9) & ((sK1 @ X11) = $true) & (X10 != X11))) & ((sK0 @ X9) = $true))))),
% 1.67/1.31 introduced(definition,[],[choice_axiom])).
% 1.67/1.31 thf(f10,plain,(
% 1.67/1.31 ? [X2 : a > a] : (! [X3 : a] : (((sK1 @ (X2 @ X3)) = $true) | ((sK0 @ X3) != $true)) & ! [X4 : a] : (? [X5 : a] : (((sK0 @ X5) = $true) & ((X2 @ X5) = X4) & ! [X6 : a] : (((X2 @ X6) != X4) | ($true != (sK0 @ X6)) | (X5 = X6))) | ((sK1 @ X4) != $true))) => (! [X3 : a] : (((sK1 @ (sK2 @ X3)) = $true) | ((sK0 @ X3) != $true)) & ! [X4 : a] : (? [X5 : a] : (((sK0 @ X5) = $true) & ((sK2 @ X5) = X4) & ! [X6 : a] : (((sK2 @ X6) != X4) | ($true != (sK0 @ X6)) | (X5 = X6))) | ((sK1 @ X4) != $true)))),
% 1.67/1.31 introduced(definition,[],[choice_axiom])).
% 1.67/1.31 thf(f11,plain,(
% 1.67/1.31 ! [X4 : a] : (? [X5 : a] : (((sK0 @ X5) = $true) & ((sK2 @ X5) = X4) & ! [X6 : a] : (((sK2 @ X6) != X4) | ($true != (sK0 @ X6)) | (X5 = X6))) => (((sK0 @ (sK3 @ X4)) = $true) & ((sK2 @ (sK3 @ X4)) = X4) & ! [X6 : a] : (((sK2 @ X6) != X4) | ($true != (sK0 @ X6)) | ((sK3 @ X4) = X6))))),
% 1.67/1.31 introduced(definition,[],[choice_axiom])).
% 1.67/1.31 thf(f12,plain,(
% 1.67/1.31 ! [X7 : a > a] : (? [X8 : a] : (((sK0 @ (X7 @ X8)) != $true) & ((sK1 @ X8) = $true)) => (((sK0 @ (X7 @ (sK4 @ X7))) != $true) & ((sK1 @ (sK4 @ X7)) = $true)))),
% 1.67/1.31 introduced(definition,[],[choice_axiom])).
% 1.67/1.31 thf(f13,plain,(
% 1.67/1.31 ! [X7 : a > a] : (? [X9 : a] : (! [X10 : a] : (((X7 @ X10) != X9) | ((sK1 @ X10) != $true) | ? [X11 : a] : (((X7 @ X11) = X9) & ((sK1 @ X11) = $true) & (X10 != X11))) & ((sK0 @ X9) = $true)) => (! [X10 : a] : (((sK5 @ X7) != (X7 @ X10)) | ((sK1 @ X10) != $true) | ? [X11 : a] : (((X7 @ X11) = (sK5 @ X7)) & ((sK1 @ X11) = $true) & (X10 != X11))) & ((sK0 @ (sK5 @ X7)) = $true)))),
% 1.67/1.31 introduced(definition,[],[choice_axiom])).
% 1.67/1.31 thf(f14,plain,(
% 1.67/1.31 ! [X7 : a > a,X10 : a] : (? [X11 : a] : (((X7 @ X11) = (sK5 @ X7)) & ((sK1 @ X11) = $true) & (X10 != X11)) => (((X7 @ (sK6 @ X10 @ X7)) = (sK5 @ X7)) & ($true = (sK1 @ (sK6 @ X10 @ X7))) & ((sK6 @ X10 @ X7) != X10)))),
% 1.67/1.31 introduced(definition,[],[choice_axiom])).
% 1.67/1.31 thf(f8,plain,(
% 1.67/1.31 ? [X0 : a > $o,X1 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : (((X1 @ (X2 @ X3)) = $true) | ((X0 @ X3) != $true)) & ! [X4 : a] : (? [X5 : a] : (((X0 @ X5) = $true) & ((X2 @ X5) = X4) & ! [X6 : a] : (((X2 @ X6) != X4) | ((X0 @ X6) != $true) | (X5 = X6))) | ((X1 @ X4) != $true))) & ! [X7 : a > a] : (? [X8 : a] : (((X0 @ (X7 @ X8)) != $true) & ((X1 @ X8) = $true)) | ? [X9 : a] : (! [X10 : a] : (((X7 @ X10) != X9) | ($true != (X1 @ X10)) | ? [X11 : a] : (((X7 @ X11) = X9) & ((X1 @ X11) = $true) & (X10 != X11))) & ((X0 @ X9) = $true))))),
% 1.67/1.31 inference(rectify,[status(thm)],[f7])).
% 1.67/1.31 thf(f7,plain,(
% 1.67/1.31 ? [X1 : a > $o,X0 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : (((X0 @ (X2 @ X3)) = $true) | ((X1 @ X3) != $true)) & ! [X4 : a] : (? [X5 : a] : (((X1 @ X5) = $true) & ((X2 @ X5) = X4) & ! [X6 : a] : (((X2 @ X6) != X4) | ($true != (X1 @ X6)) | (X5 = X6))) | ((X0 @ X4) != $true))) & ! [X7 : a > a] : (? [X11 : a] : (($true != (X1 @ (X7 @ X11))) & ((X0 @ X11) = $true)) | ? [X8 : a] : (! [X9 : a] : (((X7 @ X9) != X8) | ((X0 @ X9) != $true) | ? [X10 : a] : (((X7 @ X10) = X8) & ((X0 @ X10) = $true) & (X9 != X10))) & ((X1 @ X8) = $true))))),
% 1.67/1.31 inference(flattening,[status(thm)],[f6])).
% 1.67/1.31 thf(f6,plain,(
% 1.67/1.31 ? [X1 : a > $o,X0 : a > $o] : (! [X7 : a > a] : (? [X11 : a] : (($true != (X1 @ (X7 @ X11))) & ((X0 @ X11) = $true)) | ? [X8 : a] : (! [X9 : a] : (((X0 @ X9) != $true) | ((X7 @ X9) != X8) | ? [X10 : a] : ((X9 != X10) & (((X7 @ X10) = X8) & ((X0 @ X10) = $true)))) & ((X1 @ X8) = $true))) & ? [X2 : a > a] : (! [X4 : a] : (? [X5 : a] : (! [X6 : a] : ((X5 = X6) | (((X2 @ X6) != X4) | ($true != (X1 @ X6)))) & ((X1 @ X5) = $true) & ((X2 @ X5) = X4)) | ((X0 @ X4) != $true)) & ! [X3 : a] : (((X0 @ (X2 @ X3)) = $true) | ((X1 @ X3) != $true))))),
% 1.67/1.31 inference(ennf_transformation,[status(thm)],[f5])).
% 1.67/1.31 thf(f5,plain,(
% 1.67/1.31 ~! [X1 : a > $o,X0 : a > $o] : (? [X2 : a > a] : (! [X4 : a] : (((X0 @ X4) = $true) => ? [X5 : a] : (! [X6 : a] : ((((X2 @ X6) = X4) & ($true = (X1 @ X6))) => (X5 = X6)) & ((X1 @ X5) = $true) & ((X2 @ X5) = X4))) & ! [X3 : a] : (((X1 @ X3) = $true) => ((X0 @ (X2 @ X3)) = $true))) => ? [X7 : a > a] : (! [X11 : a] : (((X0 @ X11) = $true) => ($true = (X1 @ (X7 @ X11)))) & ! [X8 : a] : (((X1 @ X8) = $true) => ? [X9 : a] : (((X0 @ X9) = $true) & ((X7 @ X9) = X8) & ! [X10 : a] : ((((X7 @ X10) = X8) & ((X0 @ X10) = $true)) => (X9 = X10))))))),
% 1.67/1.31 inference(fool_elimination,[status(thm)],[f4])).
% 1.67/1.31 thf(f4,plain,(
% 1.67/1.31 ~! [X0 : a > $o,X1 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : ((X1 @ X3) => (X0 @ (X2 @ X3))) & ! [X4 : a] : ((X0 @ X4) => ? [X5 : a] : (! [X6 : a] : (((X1 @ X6) & ((X2 @ X6) = X4)) => (X5 = X6)) & ((X2 @ X5) = X4) & (X1 @ X5)))) => ? [X7 : a > a] : (! [X8 : a] : ((X1 @ X8) => ? [X9 : a] : (! [X10 : a] : (((X0 @ X10) & ((X7 @ X10) = X8)) => (X9 = X10)) & (X0 @ X9) & ((X7 @ X9) = X8))) & ! [X11 : a] : ((X0 @ X11) => (X1 @ (X7 @ X11)))))),
% 1.67/1.31 inference(rectify,[status(thm)],[f2])).
% 1.67/1.31 thf(f2,negated_conjecture,(
% 1.67/1.31 ~! [X1 : a > $o,X0 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : ((X0 @ X3) => (X1 @ (X2 @ X3))) & ! [X4 : a] : ((X1 @ X4) => ? [X3 : a] : (! [X5 : a] : (((X0 @ X5) & ((X2 @ X5) = X4)) => (X3 = X5)) & ((X2 @ X3) = X4) & (X0 @ X3)))) => ? [X2 : a > a] : (! [X4 : a] : ((X0 @ X4) => ? [X3 : a] : (! [X5 : a] : (((X1 @ X5) & ((X2 @ X5) = X4)) => (X3 = X5)) & (X1 @ X3) & ((X2 @ X3) = X4))) & ! [X3 : a] : ((X1 @ X3) => (X0 @ (X2 @ X3)))))),
% 1.67/1.31 inference(negated_conjecture,[status(cth)],[f1])).
% 1.67/1.31 thf(f1,conjecture,(
% 1.67/1.31 ! [X1 : a > $o,X0 : a > $o] : (? [X2 : a > a] : (! [X3 : a] : ((X0 @ X3) => (X1 @ (X2 @ X3))) & ! [X4 : a] : ((X1 @ X4) => ? [X3 : a] : (! [X5 : a] : (((X0 @ X5) & ((X2 @ X5) = X4)) => (X3 = X5)) & ((X2 @ X3) = X4) & (X0 @ X3)))) => ? [X2 : a > a] : (! [X4 : a] : ((X0 @ X4) => ? [X3 : a] : (! [X5 : a] : (((X1 @ X5) & ((X2 @ X5) = X4)) => (X3 = X5)) & (X1 @ X3) & ((X2 @ X3) = X4))) & ! [X3 : a] : ((X1 @ X3) => (X0 @ (X2 @ X3)))))),
% 1.67/1.31 file('/export/starexec/sandbox/tmp/tmp.pq6WqNtBM2/DTF2THF_12404.p',cEQP1_1B_pme)).
% 1.67/1.31 thf(f146,plain,(
% 1.67/1.31 spl7_4 | ~spl7_5 | ~spl7_9 | ~spl7_11),
% 1.67/1.31 inference(avatar_contradiction_clause,[status(thm)],[f145])).
% 1.67/1.31 thf(f145,plain,(
% 1.67/1.31 $false | (spl7_4 | ~spl7_5 | ~spl7_9 | ~spl7_11)),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f139,f112])).
% 1.67/1.31 thf(f139,plain,(
% 1.67/1.31 ((sK1 @ (sK2 @ (sK5 @ sK3))) != $true) | (spl7_4 | ~spl7_5 | ~spl7_9)),
% 1.67/1.31 inference(trivial_inequality_removal,[status(thm)],[f136])).
% 1.67/1.31 thf(f136,plain,(
% 1.67/1.31 ((sK2 @ (sK5 @ sK3)) != (sK2 @ (sK5 @ sK3))) | ((sK1 @ (sK2 @ (sK5 @ sK3))) != $true) | ((sK5 @ sK3) != (sK5 @ sK3)) | (spl7_4 | ~spl7_5 | ~spl7_9)),
% 1.67/1.31 inference(superposition,[status(thm)],[f115,f102])).
% 1.67/1.31 thf(f115,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK5 @ sK3) != (sK3 @ X0)) | ((sK2 @ (sK5 @ sK3)) != X0) | ((sK1 @ X0) != $true)) ) | (spl7_4 | ~spl7_5)),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f95,f54])).
% 1.67/1.31 thf(f54,plain,(
% 1.67/1.31 ((sK1 @ (sK4 @ sK3)) != $true) | spl7_4),
% 1.67/1.31 inference(avatar_component_clause,[status(thm)],[f53])).
% 1.67/1.31 thf(f53,definition,(
% 1.67/1.31 spl7_4 <=> ((sK1 @ (sK4 @ sK3)) = $true)),
% 1.67/1.31 introduced(definition,[new_symbols(naming,[spl7_4])],[avatar_definition])).
% 1.67/1.31 thf(f95,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK2 @ (sK5 @ sK3)) != X0) | ((sK1 @ X0) != $true) | ((sK1 @ (sK4 @ sK3)) = $true) | ((sK5 @ sK3) != (sK3 @ X0))) ) | ~spl7_5),
% 1.67/1.31 inference(duplicate_literal_removal,[status(thm)],[f91])).
% 1.67/1.31 thf(f91,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK1 @ (sK4 @ sK3)) = $true) | ((sK2 @ (sK5 @ sK3)) != X0) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0)) | ((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ X0) != $true)) ) | ~spl7_5),
% 1.67/1.31 inference(superposition,[status(thm)],[f17,f58])).
% 1.67/1.31 thf(f17,plain,(
% 1.67/1.31 ( ! [X10 : a,X7 : a > a] : (((sK6 @ X10 @ X7) != X10) | ((sK1 @ X10) != $true) | ((sK1 @ (sK4 @ X7)) = $true) | ((sK5 @ X7) != (X7 @ X10))) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f133,plain,(
% 1.67/1.31 ~spl7_10),
% 1.67/1.31 inference(avatar_contradiction_clause,[status(thm)],[f132])).
% 1.67/1.31 thf(f132,plain,(
% 1.67/1.31 $false | ~spl7_10),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f131,f34])).
% 1.67/1.31 thf(f34,plain,(
% 1.67/1.31 ($true = (sK0 @ (sK5 @ sK3)))),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f33,f16])).
% 1.67/1.31 thf(f16,plain,(
% 1.67/1.31 ( ! [X7 : a > a] : (((sK1 @ (sK4 @ X7)) = $true) | ((sK0 @ (sK5 @ X7)) = $true)) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f33,plain,(
% 1.67/1.31 ((sK1 @ (sK4 @ sK3)) != $true) | ($true = (sK0 @ (sK5 @ sK3)))),
% 1.67/1.31 inference(trivial_inequality_removal,[status(thm)],[f32])).
% 1.67/1.31 thf(f32,plain,(
% 1.67/1.31 ($true = (sK0 @ (sK5 @ sK3))) | ($true != $true) | ((sK1 @ (sK4 @ sK3)) != $true)),
% 1.67/1.31 inference(superposition,[status(thm)],[f20,f26])).
% 1.67/1.31 thf(f26,plain,(
% 1.67/1.31 ( ! [X4 : a] : (((sK0 @ (sK3 @ X4)) = $true) | ((sK1 @ X4) != $true)) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f20,plain,(
% 1.67/1.31 ( ! [X7 : a > a] : (((sK0 @ (X7 @ (sK4 @ X7))) != $true) | ((sK0 @ (sK5 @ X7)) = $true)) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f131,plain,(
% 1.67/1.31 ($true != (sK0 @ (sK5 @ sK3))) | ~spl7_10),
% 1.67/1.31 inference(equality_resolution,[status(thm)],[f130])).
% 1.67/1.31 thf(f130,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK5 @ sK3) != X0) | ((sK0 @ X0) != $true)) ) | ~spl7_10),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f125,f27])).
% 1.67/1.31 thf(f27,plain,(
% 1.67/1.31 ( ! [X3 : a] : (((sK1 @ (sK2 @ X3)) = $true) | ((sK0 @ X3) != $true)) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f125,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK1 @ (sK2 @ X0)) != $true) | ((sK5 @ sK3) != X0) | ((sK0 @ X0) != $true)) ) | ~spl7_10),
% 1.67/1.31 inference(superposition,[status(thm)],[f105,f29])).
% 1.67/1.31 thf(f29,plain,(
% 1.67/1.31 ( ! [X6 : a] : (((sK3 @ (sK2 @ X6)) = X6) | ($true != (sK0 @ X6))) )),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f28,f27])).
% 1.67/1.31 thf(f28,plain,(
% 1.67/1.31 ( ! [X6 : a] : (((sK3 @ (sK2 @ X6)) = X6) | ($true != (sK0 @ X6)) | ($true != (sK1 @ (sK2 @ X6)))) )),
% 1.67/1.31 inference(equality_resolution,[status(thm)],[f24])).
% 1.67/1.31 thf(f24,plain,(
% 1.67/1.31 ( ! [X6 : a,X4 : a] : (((sK2 @ X6) != X4) | ($true != (sK0 @ X6)) | ((sK3 @ X4) = X6) | ((sK1 @ X4) != $true)) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f105,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ X0) != $true)) ) | ~spl7_10),
% 1.67/1.31 inference(avatar_component_clause,[status(thm)],[f104])).
% 1.67/1.31 thf(f104,definition,(
% 1.67/1.31 spl7_10 <=> ! [X0 : a] : (((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0)))),
% 1.67/1.31 introduced(definition,[new_symbols(naming,[spl7_10])],[avatar_definition])).
% 1.67/1.31 thf(f120,plain,(
% 1.67/1.31 spl7_9 | spl7_10 | spl7_4 | ~spl7_5),
% 1.67/1.31 inference(avatar_split_clause,[status(thm)],[f119,f57,f53,f104,f100])).
% 1.67/1.31 thf(f119,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) = (sK3 @ (sK2 @ (sK5 @ sK3))))) ) | (spl7_4 | ~spl7_5)),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f97,f54])).
% 1.67/1.31 thf(f97,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK1 @ (sK4 @ sK3)) = $true) | ((sK5 @ sK3) = (sK3 @ (sK2 @ (sK5 @ sK3)))) | ((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ X0) != $true)) ) | ~spl7_5),
% 1.67/1.31 inference(duplicate_literal_removal,[status(thm)],[f87])).
% 1.67/1.31 thf(f87,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) = (sK3 @ (sK2 @ (sK5 @ sK3)))) | ((sK1 @ X0) != $true) | ((sK1 @ (sK4 @ sK3)) = $true) | ((sK5 @ sK3) != (sK3 @ X0))) ) | ~spl7_5),
% 1.67/1.31 inference(superposition,[status(thm)],[f19,f58])).
% 1.67/1.31 thf(f19,plain,(
% 1.67/1.31 ( ! [X10 : a,X7 : a > a] : (((X7 @ (sK6 @ X10 @ X7)) = (sK5 @ X7)) | ((sK5 @ X7) != (X7 @ X10)) | ((sK1 @ (sK4 @ X7)) = $true) | ((sK1 @ X10) != $true)) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f118,plain,(
% 1.67/1.31 spl7_11 | ~spl7_8 | spl7_10 | ~spl7_5),
% 1.67/1.31 inference(avatar_split_clause,[status(thm)],[f92,f57,f104,f75,f110])).
% 1.67/1.31 thf(f92,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0)) | ($true != (sK0 @ (sK3 @ (sK4 @ sK3)))) | ((sK1 @ (sK2 @ (sK5 @ sK3))) = $true)) ) | ~spl7_5),
% 1.67/1.31 inference(duplicate_literal_removal,[status(thm)],[f88])).
% 1.67/1.31 thf(f88,plain,(
% 1.67/1.31 ( ! [X0 : a] : (($true != (sK0 @ (sK3 @ (sK4 @ sK3)))) | ((sK1 @ (sK2 @ (sK5 @ sK3))) = $true) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0))) ) | ~spl7_5),
% 1.67/1.31 inference(superposition,[status(thm)],[f22,f58])).
% 1.67/1.31 thf(f22,plain,(
% 1.67/1.31 ( ! [X10 : a,X7 : a > a] : (($true = (sK1 @ (sK6 @ X10 @ X7))) | ((sK0 @ (X7 @ (sK4 @ X7))) != $true) | ((sK1 @ X10) != $true) | ((sK5 @ X7) != (X7 @ X10))) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f117,plain,(
% 1.67/1.31 spl7_11 | spl7_10 | spl7_4 | ~spl7_5),
% 1.67/1.31 inference(avatar_split_clause,[status(thm)],[f116,f57,f53,f104,f110])).
% 1.67/1.31 thf(f116,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK1 @ X0) != $true) | ((sK1 @ (sK2 @ (sK5 @ sK3))) = $true) | ((sK5 @ sK3) != (sK3 @ X0))) ) | (spl7_4 | ~spl7_5)),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f93,f54])).
% 1.67/1.31 thf(f93,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ X0) != $true) | ((sK1 @ (sK4 @ sK3)) = $true) | ((sK1 @ (sK2 @ (sK5 @ sK3))) = $true)) ) | ~spl7_5),
% 1.67/1.31 inference(duplicate_literal_removal,[status(thm)],[f90])).
% 1.67/1.31 thf(f90,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ X0) != $true) | ((sK1 @ (sK2 @ (sK5 @ sK3))) = $true) | ((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ X0) != $true) | ((sK1 @ (sK4 @ sK3)) = $true)) ) | ~spl7_5),
% 1.67/1.31 inference(superposition,[status(thm)],[f18,f58])).
% 1.67/1.31 thf(f18,plain,(
% 1.67/1.31 ( ! [X10 : a,X7 : a > a] : (($true = (sK1 @ (sK6 @ X10 @ X7))) | ((sK5 @ X7) != (X7 @ X10)) | ((sK1 @ (sK4 @ X7)) = $true) | ((sK1 @ X10) != $true)) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f114,plain,(
% 1.67/1.31 spl7_9 | ~spl7_8 | spl7_10 | ~spl7_5),
% 1.67/1.31 inference(avatar_split_clause,[status(thm)],[f96,f57,f104,f75,f100])).
% 1.67/1.31 thf(f96,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK5 @ sK3) != (sK3 @ X0)) | ($true != (sK0 @ (sK3 @ (sK4 @ sK3)))) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) = (sK3 @ (sK2 @ (sK5 @ sK3))))) ) | ~spl7_5),
% 1.67/1.31 inference(duplicate_literal_removal,[status(thm)],[f86])).
% 1.67/1.31 thf(f86,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0)) | ($true != (sK0 @ (sK3 @ (sK4 @ sK3)))) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) = (sK3 @ (sK2 @ (sK5 @ sK3)))) | ((sK5 @ sK3) != (sK3 @ X0))) ) | ~spl7_5),
% 1.67/1.31 inference(superposition,[status(thm)],[f23,f58])).
% 1.67/1.31 thf(f23,plain,(
% 1.67/1.31 ( ! [X10 : a,X7 : a > a] : (((X7 @ (sK6 @ X10 @ X7)) = (sK5 @ X7)) | ((sK0 @ (X7 @ (sK4 @ X7))) != $true) | ((sK5 @ X7) != (X7 @ X10)) | ((sK1 @ X10) != $true)) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f83,plain,(
% 1.67/1.31 ~spl7_4 | spl7_8),
% 1.67/1.31 inference(avatar_contradiction_clause,[status(thm)],[f82])).
% 1.67/1.31 thf(f82,plain,(
% 1.67/1.31 $false | (~spl7_4 | spl7_8)),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f81,f55])).
% 1.67/1.31 thf(f55,plain,(
% 1.67/1.31 ((sK1 @ (sK4 @ sK3)) = $true) | ~spl7_4),
% 1.67/1.31 inference(avatar_component_clause,[status(thm)],[f53])).
% 1.67/1.31 thf(f81,plain,(
% 1.67/1.31 ((sK1 @ (sK4 @ sK3)) != $true) | spl7_8),
% 1.67/1.31 inference(trivial_inequality_removal,[status(thm)],[f80])).
% 1.67/1.31 thf(f80,plain,(
% 1.67/1.31 ($true != $true) | ((sK1 @ (sK4 @ sK3)) != $true) | spl7_8),
% 1.67/1.31 inference(superposition,[status(thm)],[f77,f26])).
% 1.67/1.31 thf(f77,plain,(
% 1.67/1.31 ($true != (sK0 @ (sK3 @ (sK4 @ sK3)))) | spl7_8),
% 1.67/1.31 inference(avatar_component_clause,[status(thm)],[f75])).
% 1.67/1.31 thf(f78,plain,(
% 1.67/1.31 ~spl7_8 | spl7_5),
% 1.67/1.31 inference(avatar_split_clause,[status(thm)],[f73,f57,f75])).
% 1.67/1.31 thf(f73,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK2 @ (sK5 @ sK3)) = (sK6 @ X0 @ sK3)) | ($true != (sK0 @ (sK3 @ (sK4 @ sK3)))) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0))) )),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f65,f22])).
% 1.67/1.31 thf(f65,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK1 @ X0) != $true) | ((sK2 @ (sK5 @ sK3)) = (sK6 @ X0 @ sK3)) | ((sK5 @ sK3) != (sK3 @ X0)) | ($true != (sK0 @ (sK3 @ (sK4 @ sK3)))) | ((sK1 @ (sK6 @ X0 @ sK3)) != $true)) )),
% 1.67/1.31 inference(superposition,[status(thm)],[f25,f23])).
% 1.67/1.31 thf(f25,plain,(
% 1.67/1.31 ( ! [X4 : a] : (((sK2 @ (sK3 @ X4)) = X4) | ((sK1 @ X4) != $true)) )),
% 1.67/1.31 inference(cnf_transformation,[status(thm)],[f15])).
% 1.67/1.31 thf(f59,plain,(
% 1.67/1.31 spl7_4 | spl7_5),
% 1.67/1.31 inference(avatar_split_clause,[status(thm)],[f51,f57,f53])).
% 1.67/1.31 thf(f51,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ (sK4 @ sK3)) = $true) | ((sK2 @ (sK5 @ sK3)) = (sK6 @ X0 @ sK3))) )),
% 1.67/1.31 inference(subsumption_resolution,[status(thm)],[f36,f18])).
% 1.67/1.31 thf(f36,plain,(
% 1.67/1.31 ( ! [X0 : a] : (((sK2 @ (sK5 @ sK3)) = (sK6 @ X0 @ sK3)) | ((sK1 @ (sK6 @ X0 @ sK3)) != $true) | ((sK1 @ X0) != $true) | ((sK5 @ sK3) != (sK3 @ X0)) | ((sK1 @ (sK4 @ sK3)) = $true)) )),
% 1.67/1.31 inference(superposition,[status(thm)],[f25,f19])).
% 1.67/1.31 % SZS output end Proof for DTF2THF_12404
% 1.67/1.31 % (12692)------------------------------
% 1.67/1.31 % (12692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.31 % (12692)Termination reason: Refutation
% 1.67/1.31
% 1.67/1.31 % (12692)Memory used [KB]: 5628
% 1.67/1.31 % (12692)Time elapsed: 0.013 s
% 1.67/1.31 % (12692)Instructions burned: 25 (million)
% 1.67/1.31 % (12692)------------------------------
% 1.67/1.31 % (12692)------------------------------
% 1.67/1.31 % (12686)Success in time 0.02 s
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