%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : PUZ094^5 : 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 : n031.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 09:28:27 AM UTC 2026
% Result : Theorem 1.65s 1.32s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 101 ( 11 unt; 0 typ; 10 def)
% Number of atoms : 1674 ( 468 equ; 0 cnn)
% Maximal formula atoms : 55 ( 16 avg)
% Number of connectives : 1929 ( 545 ~; 478 |; 114 &; 782 @)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 17 con; 0-2 aty)
% Number of variables : 329 ( 0 ^; 329 !; 0 ?; 329 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
eats: $i > $i > $o ).
thf(func_def_1,type,
grain: $i > $o ).
thf(func_def_2,type,
animal: $i > $o ).
thf(func_def_3,type,
snail: $i > $o ).
thf(func_def_4,type,
sf: $i > $i ).
thf(func_def_5,type,
plant: $i > $o ).
thf(func_def_6,type,
bird: $i > $o ).
thf(func_def_7,type,
wolf: $i > $o ).
thf(func_def_8,type,
fox: $i > $o ).
thf(func_def_9,type,
msmaller: $i > $i > $o ).
thf(f405,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f63,f73,f124,f138,f164,f167,f184,f269,f274,f393,f404]) ).
thf(f404,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[status(thm)],[f403]) ).
thf(f403,plain,
( $false
| ~ spl0_27 ),
inference(trivial_inequality_removal,[status(thm)],[f402]) ).
thf(f402,plain,
( ( $true != $true )
| ~ spl0_27 ),
inference(superposition,[status(thm)],[f392,f13]) ).
thf(f13,plain,
( ( fox @ a_fox )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ! [X0: $i] :
( ( ( grain @ X0 )
!= $true )
| ( ( plant @ X0 )
= $true ) )
& ! [X1: $i] :
( ( ( animal @ X1 )
= $true )
| ( ( bird @ X1 )
!= $true ) )
& ! [X2: $i,X3: $i] :
( ( ( eats @ X3 @ X2 )
!= $true )
| ( ( wolf @ X3 )
!= $true )
| ( ( fox @ X2 )
!= $true ) )
& ! [X4: $i,X5: $i] :
( ( ( bird @ X4 )
!= $true )
| ( ( msmaller @ X4 @ X5 )
= $true )
| ( ( fox @ X5 )
!= $true ) )
& ! [X6: $i] :
( ( ( eats @ X6 @ ( sf @ X6 ) )
= $true )
| ( ( snail @ X6 )
!= $true ) )
& ! [X7: $i] :
( ( ( snail @ X7 )
!= $true )
| ( ( plant @ ( sf @ X7 ) )
= $true ) )
& ! [X8: $i] :
( ( ( animal @ X8 )
= $true )
| ( ( fox @ X8 )
!= $true ) )
& ! [X9: $i,X10: $i,X11: $i] :
( ( ( animal @ X9 )
!= $true )
| ( $true
!= ( eats @ X9 @ X11 ) )
| ( ( eats @ X11 @ X10 )
!= $true )
| ( $true
!= ( animal @ X11 ) )
| ( ( grain @ X10 )
!= $true ) )
& ( ( snail @ a_snail )
= $true )
& ( ( wolf @ a_wolf )
= $true )
& ! [X12: $i,X13: $i] :
( ( ( msmaller @ X12 @ X13 )
= $true )
| ( ( fox @ X12 )
!= $true )
| ( ( wolf @ X13 )
!= $true ) )
& ! [X14: $i] :
( ( ( animal @ X14 )
= $true )
| ( $true
!= ( snail @ X14 ) ) )
& ( ( grain @ a_grain )
= $true )
& ! [X15: $i,X16: $i,X17: $i,X18: $i] :
( ( ( msmaller @ X15 @ X18 )
!= $true )
| ( ( animal @ X18 )
!= $true )
| ( ( animal @ X15 )
!= $true )
| ( ( eats @ X18 @ X16 )
= $true )
| ( ( eats @ X15 @ X17 )
!= $true )
| ( ( plant @ X16 )
!= $true )
| ( ( plant @ X17 )
!= $true )
| ( $true
= ( eats @ X18 @ X15 ) ) )
& ( ( fox @ a_fox )
= $true )
& ( ( bird @ a_bird )
= $true )
& ! [X19: $i,X20: $i] :
( ( ( snail @ X20 )
!= $true )
| ( ( bird @ X19 )
!= $true )
| ( ( msmaller @ X20 @ X19 )
= $true ) )
& ! [X21: $i,X22: $i] :
( ( ( wolf @ X22 )
!= $true )
| ( ( eats @ X22 @ X21 )
!= $true )
| ( ( grain @ X21 )
!= $true ) )
& ! [X23: $i,X24: $i] :
( ( $true
!= ( bird @ X24 ) )
| ( ( snail @ X23 )
!= $true )
| ( ( eats @ X24 @ X23 )
!= $true ) )
& ! [X25: $i] :
( ( ( animal @ X25 )
= $true )
| ( ( wolf @ X25 )
!= $true ) ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,plain,
( ! [X10: $i] :
( ( ( grain @ X10 )
!= $true )
| ( ( plant @ X10 )
= $true ) )
& ! [X6: $i] :
( ( ( animal @ X6 )
= $true )
| ( ( bird @ X6 )
!= $true ) )
& ! [X4: $i,X5: $i] :
( ( ( eats @ X5 @ X4 )
!= $true )
| ( ( wolf @ X5 )
!= $true )
| ( ( fox @ X4 )
!= $true ) )
& ! [X2: $i,X1: $i] :
( ( $true
!= ( bird @ X2 ) )
| ( ( msmaller @ X2 @ X1 )
= $true )
| ( ( fox @ X1 )
!= $true ) )
& ! [X0: $i] :
( ( ( eats @ X0 @ ( sf @ X0 ) )
= $true )
| ( ( snail @ X0 )
!= $true ) )
& ! [X16: $i] :
( ( ( snail @ X16 )
!= $true )
| ( ( plant @ ( sf @ X16 ) )
= $true ) )
& ! [X13: $i] :
( ( ( animal @ X13 )
= $true )
| ( ( fox @ X13 )
!= $true ) )
& ! [X8: $i,X9: $i,X7: $i] :
( ( ( animal @ X8 )
!= $true )
| ( $true
!= ( eats @ X8 @ X7 ) )
| ( ( eats @ X7 @ X9 )
!= $true )
| ( ( animal @ X7 )
!= $true )
| ( ( grain @ X9 )
!= $true ) )
& ( ( snail @ a_snail )
= $true )
& ( ( wolf @ a_wolf )
= $true )
& ! [X15: $i,X14: $i] :
( ( $true
= ( msmaller @ X15 @ X14 ) )
| ( ( fox @ X15 )
!= $true )
| ( ( wolf @ X14 )
!= $true ) )
& ! [X3: $i] :
( ( ( animal @ X3 )
= $true )
| ( ( snail @ X3 )
!= $true ) )
& ( ( grain @ a_grain )
= $true )
& ! [X23: $i,X21: $i,X22: $i,X20: $i] :
( ( ( msmaller @ X23 @ X20 )
!= $true )
| ( ( animal @ X20 )
!= $true )
| ( ( animal @ X23 )
!= $true )
| ( ( eats @ X20 @ X21 )
= $true )
| ( ( eats @ X23 @ X22 )
!= $true )
| ( ( plant @ X21 )
!= $true )
| ( $true
!= ( plant @ X22 ) )
| ( $true
= ( eats @ X20 @ X23 ) ) )
& ( ( fox @ a_fox )
= $true )
& ( ( bird @ a_bird )
= $true )
& ! [X24: $i,X25: $i] :
( ( ( snail @ X25 )
!= $true )
| ( $true
!= ( bird @ X24 ) )
| ( $true
= ( msmaller @ X25 @ X24 ) ) )
& ! [X12: $i,X11: $i] :
( ( ( wolf @ X11 )
!= $true )
| ( ( eats @ X11 @ X12 )
!= $true )
| ( ( grain @ X12 )
!= $true ) )
& ! [X18: $i,X19: $i] :
( ( ( bird @ X19 )
!= $true )
| ( $true
!= ( snail @ X18 ) )
| ( ( eats @ X19 @ X18 )
!= $true ) )
& ! [X17: $i] :
( ( ( animal @ X17 )
= $true )
| ( ( wolf @ X17 )
!= $true ) ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
~ ~ ( ! [X0: $i] :
( ( ( eats @ X0 @ ( sf @ X0 ) )
= $true )
| ( ( snail @ X0 )
!= $true ) )
& ! [X1: $i,X2: $i] :
( ( ( fox @ X1 )
!= $true )
| ( ( msmaller @ X2 @ X1 )
= $true )
| ( $true
!= ( bird @ X2 ) ) )
& ( ( bird @ a_bird )
= $true )
& ! [X3: $i] :
( ( ( animal @ X3 )
= $true )
| ( ( snail @ X3 )
!= $true ) )
& ! [X4: $i,X5: $i] :
( ( ( wolf @ X5 )
!= $true )
| ( ( eats @ X5 @ X4 )
!= $true )
| ( ( fox @ X4 )
!= $true ) )
& ! [X6: $i] :
( ( ( bird @ X6 )
!= $true )
| ( ( animal @ X6 )
= $true ) )
& ! [X7: $i,X8: $i,X9: $i] :
( ( $true
!= ( eats @ X8 @ X7 ) )
| ( ( grain @ X9 )
!= $true )
| ( ( animal @ X7 )
!= $true )
| ( ( eats @ X7 @ X9 )
!= $true )
| ( ( animal @ X8 )
!= $true ) )
& ( ( fox @ a_fox )
= $true )
& ! [X10: $i] :
( ( ( grain @ X10 )
!= $true )
| ( ( plant @ X10 )
= $true ) )
& ! [X11: $i,X12: $i] :
( ( ( grain @ X12 )
!= $true )
| ( ( wolf @ X11 )
!= $true )
| ( ( eats @ X11 @ X12 )
!= $true ) )
& ! [X13: $i] :
( ( ( fox @ X13 )
!= $true )
| ( ( animal @ X13 )
= $true ) )
& ! [X14: $i,X15: $i] :
( ( $true
= ( msmaller @ X15 @ X14 ) )
| ( ( wolf @ X14 )
!= $true )
| ( ( fox @ X15 )
!= $true ) )
& ! [X16: $i] :
( ( ( plant @ ( sf @ X16 ) )
= $true )
| ( ( snail @ X16 )
!= $true ) )
& ( ( grain @ a_grain )
= $true )
& ( ( snail @ a_snail )
= $true )
& ! [X17: $i] :
( ( ( wolf @ X17 )
!= $true )
| ( ( animal @ X17 )
= $true ) )
& ! [X18: $i,X19: $i] :
( ( ( bird @ X19 )
!= $true )
| ( ( eats @ X19 @ X18 )
!= $true )
| ( $true
!= ( snail @ X18 ) ) )
& ! [X20: $i,X21: $i,X22: $i,X23: $i] :
( ( $true
!= ( plant @ X22 ) )
| ( ( eats @ X20 @ X21 )
= $true )
| ( ( eats @ X23 @ X22 )
!= $true )
| ( $true
= ( eats @ X20 @ X23 ) )
| ( ( plant @ X21 )
!= $true )
| ( ( animal @ X20 )
!= $true )
| ( ( animal @ X23 )
!= $true )
| ( ( msmaller @ X23 @ X20 )
!= $true ) )
& ! [X24: $i,X25: $i] :
( ( $true
!= ( bird @ X24 ) )
| ( $true
= ( msmaller @ X25 @ X24 ) )
| ( ( snail @ X25 )
!= $true ) )
& ( ( wolf @ a_wolf )
= $true ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ~ ( ! [X0: $i] :
( ( eats @ X0 @ ( sf @ X0 ) )
| ~ ( snail @ X0 ) )
& ! [X1: $i,X2: $i] :
( ~ ( fox @ X1 )
| ( msmaller @ X2 @ X1 )
| ~ ( bird @ X2 ) )
& ( bird @ a_bird )
& ! [X3: $i] :
( ( animal @ X3 )
| ~ ( snail @ X3 ) )
& ! [X4: $i,X5: $i] :
( ~ ( wolf @ X5 )
| ~ ( eats @ X5 @ X4 )
| ~ ( fox @ X4 ) )
& ! [X6: $i] :
( ~ ( bird @ X6 )
| ( animal @ X6 ) )
& ! [X7: $i,X8: $i,X9: $i] :
( ~ ( eats @ X8 @ X7 )
| ~ ( grain @ X9 )
| ~ ( animal @ X7 )
| ~ ( eats @ X7 @ X9 )
| ~ ( animal @ X8 ) )
& ( fox @ a_fox )
& ! [X10: $i] :
( ~ ( grain @ X10 )
| ( plant @ X10 ) )
& ! [X11: $i,X12: $i] :
( ~ ( grain @ X12 )
| ~ ( wolf @ X11 )
| ~ ( eats @ X11 @ X12 ) )
& ! [X13: $i] :
( ~ ( fox @ X13 )
| ( animal @ X13 ) )
& ! [X14: $i,X15: $i] :
( ( msmaller @ X15 @ X14 )
| ~ ( wolf @ X14 )
| ~ ( fox @ X15 ) )
& ! [X16: $i] :
( ( plant @ ( sf @ X16 ) )
| ~ ( snail @ X16 ) )
& ( grain @ a_grain )
& ( snail @ a_snail )
& ! [X17: $i] :
( ~ ( wolf @ X17 )
| ( animal @ X17 ) )
& ! [X18: $i,X19: $i] :
( ~ ( bird @ X19 )
| ~ ( eats @ X19 @ X18 )
| ~ ( snail @ X18 ) )
& ! [X20: $i,X21: $i,X22: $i,X23: $i] :
( ~ ( plant @ X22 )
| ( eats @ X20 @ X21 )
| ~ ( eats @ X23 @ X22 )
| ( eats @ X20 @ X23 )
| ~ ( plant @ X21 )
| ~ ( animal @ X20 )
| ~ ( animal @ X23 )
| ~ ( msmaller @ X23 @ X20 ) )
& ! [X24: $i,X25: $i] :
( ~ ( bird @ X24 )
| ( msmaller @ X25 @ X24 )
| ~ ( snail @ X25 ) )
& ( wolf @ a_wolf ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ~ ( ! [X3: $i] :
( ( eats @ X3 @ ( sf @ X3 ) )
| ~ ( snail @ X3 ) )
& ! [X6: $i,X5: $i] :
( ~ ( fox @ X6 )
| ( msmaller @ X5 @ X6 )
| ~ ( bird @ X5 ) )
& ( bird @ a_bird )
& ! [X0: $i] :
( ( animal @ X0 )
| ~ ( snail @ X0 ) )
& ! [X6: $i,X7: $i] :
( ~ ( wolf @ X7 )
| ~ ( eats @ X7 @ X6 )
| ~ ( fox @ X6 ) )
& ! [X0: $i] :
( ~ ( bird @ X0 )
| ( animal @ X0 ) )
& ! [X9: $i,X1: $i,X8: $i] :
( ~ ( eats @ X1 @ X9 )
| ~ ( grain @ X8 )
| ~ ( animal @ X9 )
| ~ ( eats @ X9 @ X8 )
| ~ ( animal @ X1 ) )
& ( fox @ a_fox )
& ! [X0: $i] :
( ~ ( grain @ X0 )
| ( plant @ X0 ) )
& ! [X7: $i,X8: $i] :
( ~ ( grain @ X8 )
| ~ ( wolf @ X7 )
| ~ ( eats @ X7 @ X8 ) )
& ! [X0: $i] :
( ~ ( fox @ X0 )
| ( animal @ X0 ) )
& ! [X7: $i,X6: $i] :
( ( msmaller @ X6 @ X7 )
| ~ ( wolf @ X7 )
| ~ ( fox @ X6 ) )
& ! [X3: $i] :
( ( plant @ ( sf @ X3 ) )
| ~ ( snail @ X3 ) )
& ( grain @ a_grain )
& ( snail @ a_snail )
& ! [X0: $i] :
( ~ ( wolf @ X0 )
| ( animal @ X0 ) )
& ! [X3: $i,X5: $i] :
( ~ ( bird @ X5 )
| ~ ( eats @ X5 @ X3 )
| ~ ( snail @ X3 ) )
& ! [X1: $i,X2: $i,X4: $i,X3: $i] :
( ~ ( plant @ X4 )
| ( eats @ X1 @ X2 )
| ~ ( eats @ X3 @ X4 )
| ( eats @ X1 @ X3 )
| ~ ( plant @ X2 )
| ~ ( animal @ X1 )
| ~ ( animal @ X3 )
| ~ ( msmaller @ X3 @ X1 ) )
& ! [X5: $i,X3: $i] :
( ~ ( bird @ X5 )
| ( msmaller @ X3 @ X5 )
| ~ ( snail @ X3 ) )
& ( wolf @ a_wolf ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
~ ( ! [X3: $i] :
( ( eats @ X3 @ ( sf @ X3 ) )
| ~ ( snail @ X3 ) )
& ! [X6: $i,X5: $i] :
( ~ ( fox @ X6 )
| ( msmaller @ X5 @ X6 )
| ~ ( bird @ X5 ) )
& ( bird @ a_bird )
& ! [X0: $i] :
( ( animal @ X0 )
| ~ ( snail @ X0 ) )
& ! [X6: $i,X7: $i] :
( ~ ( wolf @ X7 )
| ~ ( eats @ X7 @ X6 )
| ~ ( fox @ X6 ) )
& ! [X0: $i] :
( ~ ( bird @ X0 )
| ( animal @ X0 ) )
& ! [X9: $i,X1: $i,X8: $i] :
( ~ ( eats @ X1 @ X9 )
| ~ ( grain @ X8 )
| ~ ( animal @ X9 )
| ~ ( eats @ X9 @ X8 )
| ~ ( animal @ X1 ) )
& ( fox @ a_fox )
& ! [X0: $i] :
( ~ ( grain @ X0 )
| ( plant @ X0 ) )
& ! [X7: $i,X8: $i] :
( ~ ( grain @ X8 )
| ~ ( wolf @ X7 )
| ~ ( eats @ X7 @ X8 ) )
& ! [X0: $i] :
( ~ ( fox @ X0 )
| ( animal @ X0 ) )
& ! [X7: $i,X6: $i] :
( ( msmaller @ X6 @ X7 )
| ~ ( wolf @ X7 )
| ~ ( fox @ X6 ) )
& ! [X3: $i] :
( ( plant @ ( sf @ X3 ) )
| ~ ( snail @ X3 ) )
& ( grain @ a_grain )
& ( snail @ a_snail )
& ! [X0: $i] :
( ~ ( wolf @ X0 )
| ( animal @ X0 ) )
& ! [X3: $i,X5: $i] :
( ~ ( bird @ X5 )
| ~ ( eats @ X5 @ X3 )
| ~ ( snail @ X3 ) )
& ! [X1: $i,X2: $i,X4: $i,X3: $i] :
( ~ ( plant @ X4 )
| ( eats @ X1 @ X2 )
| ~ ( eats @ X3 @ X4 )
| ( eats @ X1 @ X3 )
| ~ ( plant @ X2 )
| ~ ( animal @ X1 )
| ~ ( animal @ X3 )
| ~ ( msmaller @ X3 @ X1 ) )
& ! [X5: $i,X3: $i] :
( ~ ( bird @ X5 )
| ( msmaller @ X3 @ X5 )
| ~ ( snail @ X3 ) )
& ( wolf @ a_wolf ) ),
file('/export/starexec/sandbox/tmp/tmp.gtSqk15ljp/DTF2THF_16577.p',cPUZ031_2) ).
thf(f392,plain,
( ! [X2: $i] :
( ( fox @ X2 )
!= $true )
| ~ spl0_27 ),
inference(avatar_component_clause,[status(thm)],[f391]) ).
thf(f391,definition,
( spl0_27
<=> ! [X2: $i] :
( ( fox @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition]) ).
thf(f393,plain,
( spl0_9
| spl0_27
| spl0_16
| spl0_6
| ~ spl0_2
| ~ spl0_20 ),
inference(avatar_split_clause,[status(thm)],[f389,f267,f61,f91,f209,f391,f105]) ).
thf(f105,definition,
( spl0_9
<=> ! [X0: $i] :
( ( bird @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f209,definition,
( spl0_16
<=> ! [X1: $i] :
( ( plant @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition]) ).
thf(f91,definition,
( spl0_6
<=> ! [X1: $i] :
( ( grain @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f61,definition,
( spl0_2
<=> ! [X0: $i,X3: $i] :
( ( ( eats @ X0 @ X3 )
= $true )
| ( ( bird @ X0 )
!= $true )
| ( ( plant @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f267,definition,
( spl0_20
<=> ! [X4: $i,X0: $i,X3: $i,X2: $i] :
( ( ( animal @ X2 )
!= $true )
| ( $true
!= ( eats @ X2 @ X4 ) )
| ( ( msmaller @ X2 @ X0 )
!= $true )
| ( ( fox @ X0 )
!= $true )
| ( ( grain @ X4 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( eats @ X2 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition]) ).
thf(f389,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( bird @ X0 )
!= $true )
| ( ( fox @ X2 )
!= $true )
| ( ( grain @ X1 )
!= $true )
| ( ( plant @ X3 )
!= $true ) )
| ~ spl0_2
| ~ spl0_20 ),
inference(subsumption_resolution,[status(thm)],[f388,f62]) ).
thf(f62,plain,
( ! [X3: $i,X0: $i] :
( ( ( eats @ X0 @ X3 )
= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( bird @ X0 )
!= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f61]) ).
thf(f388,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( bird @ X0 )
!= $true )
| ( ( eats @ X0 @ X3 )
!= $true )
| ( ( grain @ X1 )
!= $true )
| ( ( fox @ X2 )
!= $true )
| ( ( plant @ X3 )
!= $true ) )
| ~ spl0_2
| ~ spl0_20 ),
inference(subsumption_resolution,[status(thm)],[f387,f24]) ).
thf(f24,plain,
! [X4: $i,X5: $i] :
( ( ( msmaller @ X4 @ X5 )
= $true )
| ( ( fox @ X5 )
!= $true )
| ( ( bird @ X4 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f387,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( msmaller @ X0 @ X2 )
!= $true )
| ( ( bird @ X0 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( fox @ X2 )
!= $true )
| ( ( grain @ X1 )
!= $true )
| ( ( eats @ X0 @ X3 )
!= $true ) )
| ~ spl0_2
| ~ spl0_20 ),
inference(subsumption_resolution,[status(thm)],[f386,f27]) ).
thf(f27,plain,
! [X0: $i] :
( ( ( plant @ X0 )
= $true )
| ( ( grain @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f386,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( fox @ X2 )
!= $true )
| ( ( plant @ X1 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( msmaller @ X0 @ X2 )
!= $true )
| ( ( bird @ X0 )
!= $true )
| ( ( grain @ X1 )
!= $true )
| ( ( eats @ X0 @ X3 )
!= $true ) )
| ~ spl0_2
| ~ spl0_20 ),
inference(subsumption_resolution,[status(thm)],[f383,f26]) ).
thf(f26,plain,
! [X1: $i] :
( ( ( animal @ X1 )
= $true )
| ( ( bird @ X1 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f383,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( plant @ X1 )
!= $true )
| ( ( fox @ X2 )
!= $true )
| ( ( eats @ X0 @ X3 )
!= $true )
| ( ( grain @ X1 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( msmaller @ X0 @ X2 )
!= $true )
| ( ( bird @ X0 )
!= $true ) )
| ~ spl0_2
| ~ spl0_20 ),
inference(trivial_inequality_removal,[status(thm)],[f375]) ).
thf(f375,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( msmaller @ X0 @ X2 )
!= $true )
| ( ( plant @ X1 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( ( eats @ X0 @ X3 )
!= $true )
| ( ( fox @ X2 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( $true != $true )
| ( ( bird @ X0 )
!= $true )
| ( ( grain @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[status(thm)],[f268,f62]) ).
thf(f268,plain,
( ! [X2: $i,X3: $i,X0: $i,X4: $i] :
( ( $true
!= ( eats @ X2 @ X4 ) )
| ( ( fox @ X0 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( grain @ X4 )
!= $true )
| ( ( animal @ X2 )
!= $true )
| ( ( eats @ X2 @ X3 )
!= $true )
| ( ( msmaller @ X2 @ X0 )
!= $true ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[status(thm)],[f267]) ).
thf(f274,plain,
( spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[status(thm)],[f273,f209,f91]) ).
thf(f273,plain,
( ! [X0: $i] :
( ( grain @ X0 )
!= $true )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[status(thm)],[f270]) ).
thf(f270,plain,
( ! [X0: $i] :
( ( ( grain @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(superposition,[status(thm)],[f210,f27]) ).
thf(f210,plain,
( ! [X1: $i] :
( ( plant @ X1 )
!= $true )
| ~ spl0_16 ),
inference(avatar_component_clause,[status(thm)],[f209]) ).
thf(f269,plain,
( spl0_20
| spl0_16
| ~ spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f265,f71,f209,f267]) ).
thf(f71,definition,
( spl0_4
<=> ! [X2: $i,X1: $i] :
( ( ( plant @ X2 )
!= $true )
| ( ( fox @ X1 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f265,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( animal @ X2 )
!= $true )
| ( ( eats @ X2 @ X3 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( grain @ X4 )
!= $true )
| ( ( fox @ X0 )
!= $true )
| ( ( msmaller @ X2 @ X0 )
!= $true )
| ( ( plant @ X1 )
!= $true )
| ( $true
!= ( eats @ X2 @ X4 ) ) )
| ~ spl0_4 ),
inference(subsumption_resolution,[status(thm)],[f244,f21]) ).
thf(f21,plain,
! [X8: $i] :
( ( ( animal @ X8 )
= $true )
| ( ( fox @ X8 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f244,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( msmaller @ X2 @ X0 )
!= $true )
| ( ( fox @ X0 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( ( grain @ X4 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( animal @ X2 )
!= $true )
| ( ( eats @ X2 @ X3 )
!= $true )
| ( ( plant @ X1 )
!= $true )
| ( $true
!= ( eats @ X2 @ X4 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f243]) ).
thf(f243,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( msmaller @ X2 @ X0 )
!= $true )
| ( $true != $true )
| ( ( animal @ X2 )
!= $true )
| ( ( eats @ X2 @ X3 )
!= $true )
| ( ( grain @ X4 )
!= $true )
| ( $true
!= ( eats @ X2 @ X4 ) )
| ( ( plant @ X1 )
!= $true )
| ( ( fox @ X0 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( animal @ X0 )
!= $true ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[status(thm)],[f241]) ).
thf(f241,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( msmaller @ X2 @ X0 )
!= $true )
| ( $true != $true )
| ( ( animal @ X2 )
!= $true )
| ( ( eats @ X2 @ X3 )
!= $true )
| ( ( plant @ X1 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( $true
!= ( eats @ X2 @ X4 ) )
| ( ( plant @ X3 )
!= $true )
| ( ( fox @ X0 )
!= $true )
| ( ( grain @ X4 )
!= $true )
| ( ( plant @ X1 )
!= $true ) )
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f72,f49]) ).
thf(f49,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( eats @ X0 @ X4 )
= $true )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( plant @ X4 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( msmaller @ X1 @ X0 )
!= $true )
| ( ( grain @ X2 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true )
| ( ( animal @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f48]) ).
thf(f48,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( eats @ X0 @ X4 )
= $true )
| ( $true != $true )
| ( ( plant @ X4 )
!= $true )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true )
| ( ( grain @ X2 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( msmaller @ X1 @ X0 )
!= $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f40]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( animal @ X0 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( grain @ X2 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( ( eats @ X0 @ X4 )
= $true )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( $true != $true )
| ( ( animal @ X1 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true )
| ( ( plant @ X4 )
!= $true )
| ( ( msmaller @ X1 @ X0 )
!= $true ) ),
inference(superposition,[status(thm)],[f20,f14]) ).
thf(f14,plain,
! [X18: $i,X16: $i,X17: $i,X15: $i] :
( ( $true
= ( eats @ X18 @ X15 ) )
| ( ( plant @ X17 )
!= $true )
| ( ( eats @ X18 @ X16 )
= $true )
| ( ( animal @ X15 )
!= $true )
| ( ( animal @ X18 )
!= $true )
| ( ( eats @ X15 @ X17 )
!= $true )
| ( ( msmaller @ X15 @ X18 )
!= $true )
| ( ( plant @ X16 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f20,plain,
! [X10: $i,X11: $i,X9: $i] :
( ( $true
!= ( eats @ X9 @ X11 ) )
| ( $true
!= ( animal @ X11 ) )
| ( ( animal @ X9 )
!= $true )
| ( ( eats @ X11 @ X10 )
!= $true )
| ( ( grain @ X10 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f72,plain,
( ! [X2: $i,X1: $i] :
( ( ( eats @ X1 @ X2 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( fox @ X1 )
!= $true ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f71]) ).
thf(f184,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[status(thm)],[f183]) ).
thf(f183,plain,
( $false
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f182]) ).
thf(f182,plain,
( ( $true != $true )
| ~ spl0_12 ),
inference(superposition,[status(thm)],[f154,f18]) ).
thf(f18,plain,
( ( wolf @ a_wolf )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f154,plain,
( ! [X0: $i] :
( ( wolf @ X0 )
!= $true )
| ~ spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f153]) ).
thf(f153,definition,
( spl0_12
<=> ! [X0: $i] :
( ( wolf @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition]) ).
thf(f167,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[status(thm)],[f166]) ).
thf(f166,plain,
( $false
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f165]) ).
thf(f165,plain,
( ( $true != $true )
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f106,f12]) ).
thf(f12,plain,
( ( bird @ a_bird )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f106,plain,
( ! [X0: $i] :
( ( bird @ X0 )
!= $true )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f105]) ).
thf(f164,plain,
( spl0_6
| spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[status(thm)],[f163,f68,f153,f91]) ).
thf(f68,definition,
( spl0_3
<=> ! [X0: $i,X3: $i] :
( ( ( eats @ X0 @ X3 )
= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( wolf @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f163,plain,
( ! [X0: $i,X1: $i] :
( ( ( grain @ X1 )
!= $true )
| ( ( wolf @ X0 )
!= $true ) )
| ~ spl0_3 ),
inference(subsumption_resolution,[status(thm)],[f145,f27]) ).
thf(f145,plain,
( ! [X0: $i,X1: $i] :
( ( ( plant @ X1 )
!= $true )
| ( ( wolf @ X0 )
!= $true )
| ( ( grain @ X1 )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f144]) ).
thf(f144,plain,
( ! [X0: $i,X1: $i] :
( ( ( wolf @ X0 )
!= $true )
| ( ( plant @ X1 )
!= $true )
| ( ( grain @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[status(thm)],[f140]) ).
thf(f140,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( plant @ X1 )
!= $true )
| ( ( grain @ X1 )
!= $true )
| ( ( wolf @ X0 )
!= $true )
| ( ( wolf @ X0 )
!= $true ) )
| ~ spl0_3 ),
inference(superposition,[status(thm)],[f10,f69]) ).
thf(f69,plain,
( ! [X3: $i,X0: $i] :
( ( ( eats @ X0 @ X3 )
= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( wolf @ X0 )
!= $true ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f68]) ).
thf(f10,plain,
! [X21: $i,X22: $i] :
( ( ( eats @ X22 @ X21 )
!= $true )
| ( ( wolf @ X22 )
!= $true )
| ( ( grain @ X21 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f138,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[status(thm)],[f137]) ).
thf(f137,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f136]) ).
thf(f136,plain,
( ( $true != $true )
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f92,f15]) ).
thf(f15,plain,
( ( grain @ a_grain )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f92,plain,
( ! [X1: $i] :
( ( grain @ X1 )
!= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f91]) ).
thf(f124,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[status(thm)],[f123]) ).
thf(f123,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f122]) ).
thf(f122,plain,
( ( $true != $true )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f121,f19]) ).
thf(f19,plain,
( ( snail @ a_snail )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f121,plain,
( ! [X0: $i] :
( ( snail @ X0 )
!= $true )
| ~ spl0_1 ),
inference(subsumption_resolution,[status(thm)],[f120,f22]) ).
thf(f22,plain,
! [X7: $i] :
( ( ( plant @ ( sf @ X7 ) )
= $true )
| ( ( snail @ X7 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f120,plain,
( ! [X0: $i] :
( ( ( plant @ ( sf @ X0 ) )
!= $true )
| ( ( snail @ X0 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[status(thm)],[f119]) ).
thf(f119,plain,
( ! [X0: $i] :
( ( ( snail @ X0 )
!= $true )
| ( ( plant @ ( sf @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[status(thm)],[f116]) ).
thf(f116,plain,
( ! [X0: $i] :
( ( ( snail @ X0 )
!= $true )
| ( $true != $true )
| ( ( snail @ X0 )
!= $true )
| ( ( plant @ ( sf @ X0 ) )
!= $true ) )
| ~ spl0_1 ),
inference(superposition,[status(thm)],[f59,f23]) ).
thf(f23,plain,
! [X6: $i] :
( ( ( eats @ X6 @ ( sf @ X6 ) )
= $true )
| ( ( snail @ X6 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f59,plain,
( ! [X2: $i,X1: $i] :
( ( ( eats @ X1 @ X2 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( snail @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f58]) ).
thf(f58,definition,
( spl0_1
<=> ! [X2: $i,X1: $i] :
( ( ( plant @ X2 )
!= $true )
| ( ( snail @ X1 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f73,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f66,f71,f68]) ).
thf(f66,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eats @ X0 @ X3 )
= $true )
| ( ( wolf @ X0 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true )
| ( ( fox @ X1 )
!= $true )
| ( ( plant @ X3 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f65,f21]) ).
thf(f65,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eats @ X1 @ X2 )
!= $true )
| ( ( fox @ X1 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( wolf @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( eats @ X0 @ X3 )
= $true ) ),
inference(subsumption_resolution,[status(thm)],[f64,f17]) ).
thf(f17,plain,
! [X12: $i,X13: $i] :
( ( ( msmaller @ X12 @ X13 )
= $true )
| ( ( wolf @ X13 )
!= $true )
| ( ( fox @ X12 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f64,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eats @ X1 @ X2 )
!= $true )
| ( ( fox @ X1 )
!= $true )
| ( ( eats @ X0 @ X3 )
= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( msmaller @ X1 @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( wolf @ X0 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f50,f8]) ).
thf(f8,plain,
! [X25: $i] :
( ( ( animal @ X25 )
= $true )
| ( ( wolf @ X25 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f50,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( animal @ X0 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( msmaller @ X1 @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( eats @ X0 @ X3 )
= $true )
| ( ( wolf @ X0 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true )
| ( ( fox @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f41]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( plant @ X2 )
!= $true )
| ( ( eats @ X0 @ X3 )
= $true )
| ( ( wolf @ X0 )
!= $true )
| ( $true != $true )
| ( ( fox @ X1 )
!= $true )
| ( ( msmaller @ X1 @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( animal @ X0 )
!= $true ) ),
inference(superposition,[status(thm)],[f25,f14]) ).
thf(f25,plain,
! [X2: $i,X3: $i] :
( ( ( eats @ X3 @ X2 )
!= $true )
| ( ( fox @ X2 )
!= $true )
| ( ( wolf @ X3 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f63,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f56,f61,f58]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eats @ X0 @ X3 )
= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true )
| ( ( snail @ X1 )
!= $true )
| ( ( bird @ X0 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f55,f16]) ).
thf(f16,plain,
! [X14: $i] :
( ( ( animal @ X14 )
= $true )
| ( $true
!= ( snail @ X14 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( bird @ X0 )
!= $true )
| ( ( snail @ X1 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( eats @ X0 @ X3 )
= $true )
| ( ( animal @ X1 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f54,f11]) ).
thf(f11,plain,
! [X19: $i,X20: $i] :
( ( ( msmaller @ X20 @ X19 )
= $true )
| ( ( snail @ X20 )
!= $true )
| ( ( bird @ X19 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( bird @ X0 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( eats @ X0 @ X3 )
= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( snail @ X1 )
!= $true )
| ( ( msmaller @ X1 @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f53,f26]) ).
thf(f53,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( animal @ X0 )
!= $true )
| ( ( bird @ X0 )
!= $true )
| ( ( eats @ X0 @ X3 )
= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( msmaller @ X1 @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( snail @ X1 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f43]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( snail @ X1 )
!= $true )
| ( $true != $true )
| ( ( eats @ X1 @ X2 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( eats @ X0 @ X3 )
= $true )
| ( ( animal @ X0 )
!= $true )
| ( ( bird @ X0 )
!= $true )
| ( ( msmaller @ X1 @ X0 )
!= $true )
| ( ( plant @ X2 )
!= $true ) ),
inference(superposition,[status(thm)],[f9,f14]) ).
thf(f9,plain,
! [X24: $i,X23: $i] :
( ( ( eats @ X24 @ X23 )
!= $true )
| ( ( snail @ X23 )
!= $true )
| ( $true
!= ( bird @ X24 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ094^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n031.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 11:33:18 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.46 ---- Original DTF file ---
% 0.19/0.46 thf(spec,logic,$$dhol).
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 % File : PUZ094^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.46 % Domain : Puzzles
% 0.19/0.46 % Problem : TPS problem from BASIC-FO-THMS
% 0.19/0.46 % Version : Especial.
% 0.19/0.46 % English : Reduced version of Schubert's Steamroller.
% 0.19/0.46
% 0.19/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.46 % Source : [Bro09]
% 0.19/0.46 % Names : tps_1213 [Bro09]
% 0.19/0.46
% 0.19/0.46 % Status : Theorem
% 0.19/0.46 % Rating : 0.25 v8.2.0, 0.27 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.30 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, 0.20 v5.4.0, 0.25 v5.1.0, 0.50 v5.0.0, 0.25 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.19/0.46 % Syntax : Number of formulae : 16 ( 0 unt; 15 typ; 0 def)
% 0.19/0.46 % Number of atoms : 50 ( 0 equ; 0 cnn)
% 0.19/0.46 % Maximal formula atoms : 50 ( 50 avg)
% 0.19/0.46 % Number of connectives : 148 ( 34 ~; 30 |; 19 &; 65 @)
% 0.19/0.46 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.46 % Maximal formula depth : 31 ( 31 avg)
% 0.19/0.46 % Number of types : 2 ( 0 usr)
% 0.19/0.46 % Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% 0.19/0.46 % Number of symbols : 15 ( 15 usr; 5 con; 0-2 aty)
% 0.19/0.46 % Number of variables : 26 ( 0 ^; 26 !; 0 ?; 26 :)
% 0.19/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.46
% 0.19/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 thf(eats,type,
% 0.19/0.46 eats: $i > $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(grain,type,
% 0.19/0.46 grain: $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(animal,type,
% 0.19/0.46 animal: $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(snail,type,
% 0.19/0.46 snail: $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(sf,type,
% 0.19/0.46 sf: $i > $i ).
% 0.19/0.46
% 0.19/0.46 thf(plant,type,
% 0.19/0.46 plant: $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(bird,type,
% 0.19/0.46 bird: $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(wolf,type,
% 0.19/0.46 wolf: $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(fox,type,
% 0.19/0.46 fox: $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(msmaller,type,
% 0.19/0.46 msmaller: $i > $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(a_grain,type,
% 0.19/0.46 a_grain: $i ).
% 0.19/0.46
% 0.19/0.46 thf(a_snail,type,
% 0.19/0.46 a_snail: $i ).
% 0.19/0.46
% 0.19/0.46 thf(a_bird,type,
% 0.19/0.46 a_bird: $i ).
% 0.19/0.46
% 0.19/0.46 thf(a_fox,type,
% 0.19/0.46 a_fox: $i ).
% 0.19/0.46
% 0.19/0.46 thf(a_wolf,type,
% 0.19/0.46 a_wolf: $i ).
% 0.19/0.46
% 0.19/0.46 thf(cPUZ031_2,conjecture,
% 0.19/0.46 ~ ( ! [X: $i] :
% 0.19/0.46 ( ( animal @ X )
% 0.19/0.46 | ~ ( wolf @ X ) )
% 0.19/0.46 & ! [X: $i] :
% 0.19/0.46 ( ( animal @ X )
% 0.19/0.46 | ~ ( fox @ X ) )
% 0.19/0.46 & ! [X: $i] :
% 0.19/0.46 ( ( animal @ X )
% 0.19/0.46 | ~ ( bird @ X ) )
% 0.19/0.46 & ! [X: $i] :
% 0.19/0.46 ( ( animal @ X )
% 0.19/0.46 | ~ ( snail @ X ) )
% 0.19/0.46 & ( wolf @ a_wolf )
% 0.19/0.46 & ( fox @ a_fox )
% 0.19/0.46 & ( bird @ a_bird )
% 0.19/0.46 & ( snail @ a_snail )
% 0.19/0.46 & ( grain @ a_grain )
% 0.19/0.46 & ! [X: $i] :
% 0.19/0.46 ( ( plant @ X )
% 0.19/0.46 | ~ ( grain @ X ) )
% 0.19/0.46 & ! [A: $i,P: $i,S: $i,O: $i] :
% 0.19/0.46 ( ( eats @ A @ P )
% 0.19/0.46 | ( eats @ A @ S )
% 0.19/0.46 | ~ ( animal @ A )
% 0.19/0.46 | ~ ( plant @ P )
% 0.19/0.46 | ~ ( animal @ S )
% 0.19/0.46 | ~ ( plant @ O )
% 0.19/0.46 | ~ ( msmaller @ S @ A )
% 0.19/0.46 | ~ ( eats @ S @ O ) )
% 0.19/0.46 & ! [S: $i,B: $i] :
% 0.19/0.46 ( ( msmaller @ S @ B )
% 0.19/0.46 | ~ ( snail @ S )
% 0.19/0.46 | ~ ( bird @ B ) )
% 0.19/0.46 & ! [B: $i,F: $i] :
% 0.19/0.46 ( ( msmaller @ B @ F )
% 0.19/0.46 | ~ ( bird @ B )
% 0.19/0.46 | ~ ( fox @ F ) )
% 0.19/0.46 & ! [F: $i,W: $i] :
% 0.19/0.46 ( ( msmaller @ F @ W )
% 0.19/0.46 | ~ ( fox @ F )
% 0.19/0.46 | ~ ( wolf @ W ) )
% 0.19/0.46 & ! [F: $i,W: $i] :
% 0.19/0.46 ( ~ ( wolf @ W )
% 0.19/0.46 | ~ ( fox @ F )
% 0.19/0.46 | ~ ( eats @ W @ F ) )
% 0.19/0.46 & ! [W: $i,G: $i] :
% 0.19/0.46 ( ~ ( wolf @ W )
% 0.19/0.46 | ~ ( grain @ G )
% 0.19/0.46 | ~ ( eats @ W @ G ) )
% 0.19/0.46 & ! [B: $i,S: $i] :
% 0.19/0.46 ( ~ ( bird @ B )
% 0.19/0.46 | ~ ( snail @ S )
% 0.19/0.46 | ~ ( eats @ B @ S ) )
% 0.19/0.46 & ! [S: $i] :
% 0.19/0.46 ( ( plant @ ( sf @ S ) )
% 0.19/0.46 | ~ ( snail @ S ) )
% 0.19/0.46 & ! [S: $i] :
% 0.19/0.46 ( ( eats @ S @ ( sf @ S ) )
% 0.19/0.46 | ~ ( snail @ S ) )
% 0.19/0.46 & ! [A: $i,E: $i,G: $i] :
% 0.19/0.46 ( ~ ( animal @ A )
% 0.19/0.46 | ~ ( animal @ E )
% 0.19/0.46 | ~ ( grain @ G )
% 0.19/0.46 | ~ ( eats @ A @ E )
% 0.19/0.46 | ~ ( eats @ E @ G ) ) ) ).
% 0.19/0.46
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 ------------------------
% 1.50/1.26 ---- Embedded in THF ---
% 1.50/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.50/1.26 %%% Generated on Tue Feb 24 11:33:19 EST 2026
% 1.50/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.50/1.26 %%% Logic specification used:
% 1.50/1.26 %%% thf(spec, logic, $$dhol).
% 1.50/1.26
% 1.50/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.gtSqk15ljp/DTF2DTF16577.p
% See solution above
% 1.50/1.26 ------------------------
% 1.50/1.27 ---- Cleaned THF ---
% 1.50/1.27 thf(eats,type,
% 1.50/1.27 eats: $i > $i > $o ).
% 1.50/1.27
% 1.50/1.27 thf(grain,type,
% 1.50/1.27 grain: $i > $o ).
% 1.50/1.27
% 1.50/1.27 thf(animal,type,
% 1.50/1.27 animal: $i > $o ).
% 1.50/1.27
% 1.50/1.27 thf(snail,type,
% 1.50/1.27 snail: $i > $o ).
% 1.50/1.27
% 1.50/1.27 thf(sf,type,
% 1.50/1.27 sf: $i > $i ).
% 1.50/1.27
% 1.50/1.27 thf(plant,type,
% 1.50/1.27 plant: $i > $o ).
% 1.50/1.27
% 1.50/1.27 thf(bird,type,
% 1.50/1.27 bird: $i > $o ).
% 1.50/1.27
% 1.50/1.27 thf(wolf,type,
% 1.50/1.27 wolf: $i > $o ).
% 1.50/1.27
% 1.50/1.27 thf(fox,type,
% 1.50/1.27 fox: $i > $o ).
% 1.50/1.27
% 1.50/1.27 thf(msmaller,type,
% 1.50/1.27 msmaller: $i > $i > $o ).
% 1.50/1.27
% 1.50/1.27 thf(a_grain,type,
% 1.50/1.27 a_grain: $i ).
% 1.50/1.27
% 1.50/1.27 thf(a_snail,type,
% 1.50/1.27 a_snail: $i ).
% 1.50/1.27
% 1.50/1.27 thf(a_bird,type,
% 1.50/1.27 a_bird: $i ).
% 1.50/1.27
% 1.50/1.27 thf(a_fox,type,
% 1.50/1.27 a_fox: $i ).
% 1.50/1.27
% 1.50/1.27 thf(a_wolf,type,
% 1.50/1.27 a_wolf: $i ).
% 1.50/1.27
% 1.50/1.27 thf(cPUZ031_2,conjecture,
% 1.50/1.27 ~ ( ! [X: $i] :
% 1.50/1.27 ( ( animal @ X )
% 1.50/1.27 | ~ ( wolf @ X ) )
% 1.50/1.27 & ! [X: $i] :
% 1.50/1.27 ( ( animal @ X )
% 1.50/1.27 | ~ ( fox @ X ) )
% 1.50/1.27 & ! [X: $i] :
% 1.50/1.27 ( ( animal @ X )
% 1.50/1.27 | ~ ( bird @ X ) )
% 1.50/1.27 & ! [X: $i] :
% 1.50/1.27 ( ( animal @ X )
% 1.50/1.27 | ~ ( snail @ X ) )
% 1.50/1.27 & ( wolf @ a_wolf )
% 1.50/1.27 & ( fox @ a_fox )
% 1.50/1.27 & ( bird @ a_bird )
% 1.50/1.27 & ( snail @ a_snail )
% 1.50/1.27 & ( grain @ a_grain )
% 1.50/1.27 & ! [X: $i] :
% 1.50/1.27 ( ( plant @ X )
% 1.50/1.27 | ~ ( grain @ X ) )
% 1.50/1.27 & ! [A: $i,P: $i,S: $i,O: $i] :
% 1.50/1.27 ( ( eats @ A @ P )
% 1.50/1.27 | ( eats @ A @ S )
% 1.50/1.27 | ~ ( animal @ A )
% 1.50/1.27 | ~ ( plant @ P )
% 1.50/1.27 | ~ ( animal @ S )
% 1.50/1.27 | ~ ( plant @ O )
% 1.50/1.27 | ~ ( msmaller @ S @ A )
% 1.50/1.27 | ~ ( eats @ S @ O ) )
% 1.50/1.27 & ! [S: $i,B: $i] :
% 1.50/1.27 ( ( msmaller @ S @ B )
% 1.50/1.27 | ~ ( snail @ S )
% 1.50/1.27 | ~ ( bird @ B ) )
% 1.50/1.27 & ! [B: $i,F: $i] :
% 1.50/1.27 ( ( msmaller @ B @ F )
% 1.50/1.27 | ~ ( bird @ B )
% 1.50/1.27 | ~ ( fox @ F ) )
% 1.50/1.27 & ! [F: $i,W: $i] :
% 1.50/1.27 ( ( msmaller @ F @ W )
% 1.50/1.27 | ~ ( fox @ F )
% 1.50/1.27 | ~ ( wolf @ W ) )
% 1.50/1.27 & ! [F: $i,W: $i] :
% 1.50/1.27 ( ~ ( wolf @ W )
% 1.50/1.27 | ~ ( fox @ F )
% 1.50/1.27 | ~ ( eats @ W @ F ) )
% 1.50/1.27 & ! [W: $i,G: $i] :
% 1.50/1.27 ( ~ ( wolf @ W )
% 1.50/1.27 | ~ ( grain @ G )
% 1.50/1.27 | ~ ( eats @ W @ G ) )
% 1.50/1.27 & ! [B: $i,S: $i] :
% 1.50/1.27 ( ~ ( bird @ B )
% 1.50/1.27 | ~ ( snail @ S )
% 1.50/1.27 | ~ ( eats @ B @ S ) )
% 1.50/1.27 & ! [S: $i] :
% 1.50/1.27 ( ( plant @ ( sf @ S ) )
% 1.50/1.27 | ~ ( snail @ S ) )
% 1.50/1.27 & ! [S: $i] :
% 1.50/1.27 ( ( eats @ S @ ( sf @ S ) )
% 1.50/1.27 | ~ ( snail @ S ) )
% 1.50/1.27 & ! [A: $i,E: $i,G: $i] :
% 1.50/1.27 ( ~ ( animal @ A )
% 1.50/1.27 | ~ ( animal @ E )
% 1.50/1.27 | ~ ( grain @ G )
% 1.50/1.27 | ~ ( eats @ A @ E )
% 1.50/1.27 | ~ ( eats @ E @ G ) ) ) ).
% 1.50/1.27 ------------------------
% 1.50/1.28 % (16679)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_16577 for (3000ds/275Mi)
% 1.50/1.28 % (16675)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_16577 for (3000ds/4Mi)
% 1.50/1.29 % (16675)Instruction limit reached!
% 1.50/1.29 % (16675)------------------------------
% 1.50/1.29 % (16675)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (16675)Termination reason: Unknown
% 1.50/1.29 % (16675)Termination phase: Saturation
% 1.50/1.29
% 1.50/1.29 % (16675)Memory used [KB]: 5500
% 1.50/1.29 % (16675)Time elapsed: 0.003 s
% 1.50/1.29 % (16675)Instructions burned: 5 (million)
% 1.50/1.29 % (16675)------------------------------
% 1.50/1.29 % (16675)------------------------------
% 1.50/1.29 % (16674)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_16577 for (3000ds/183Mi)
% 1.50/1.29 % (16677)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_16577 for (3000ds/2Mi)
% 1.50/1.29 % (16676)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_16577 for (3000ds/27Mi)
% 1.50/1.29 % (16678)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_16577 for (3000ds/2Mi)
% 1.50/1.29 % (16677)Instruction limit reached!
% 1.50/1.29 % (16677)------------------------------
% 1.50/1.29 % (16677)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (16677)Termination reason: Unknown
% 1.50/1.29 % (16678)Instruction limit reached!
% 1.50/1.29 % (16678)------------------------------
% 1.50/1.29 % (16678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (16677)Termination phase: Property scanning
% 1.50/1.29
% 1.50/1.29 % (16677)Memory used [KB]: 1023
% 1.50/1.29 % (16677)Time elapsed: 0.003 s
% 1.50/1.29 % (16677)Instructions burned: 2 (million)
% 1.50/1.29 % (16677)------------------------------
% 1.50/1.29 % (16677)------------------------------
% 1.50/1.29 % (16678)Termination reason: Unknown
% 1.50/1.29 % (16678)Termination phase: shuffling
% 1.50/1.29
% 1.50/1.29 % (16678)Memory used [KB]: 1023
% 1.50/1.29 % (16678)Time elapsed: 0.003 s
% 1.50/1.29 % (16678)Instructions burned: 2 (million)
% 1.50/1.29 % (16678)------------------------------
% 1.50/1.29 % (16678)------------------------------
% 1.50/1.30 % (16680)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_16577 for (3000ds/18Mi)
% 1.65/1.30 % (16680)Instruction limit reached!
% 1.65/1.30 % (16680)------------------------------
% 1.65/1.30 % (16680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.30 % (16680)Termination reason: Unknown
% 1.65/1.30 % (16680)Termination phase: Saturation
% 1.65/1.30
% 1.65/1.30 % (16680)Memory used [KB]: 5628
% 1.65/1.30 % (16680)Time elapsed: 0.009 s
% 1.65/1.30 % (16680)Instructions burned: 19 (million)
% 1.65/1.30 % (16680)------------------------------
% 1.65/1.30 % (16680)------------------------------
% 1.65/1.31 % (16683)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_16577 for (2999ds/15Mi)
% 1.65/1.31 % (16682)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_16577 for (2999ds/37Mi)
% 1.65/1.31 % (16681)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_16577 for (2999ds/3Mi)
% 1.65/1.31 % (16684)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_16577 for (2999ds/3Mi)
% 1.65/1.31 % (16676)Instruction limit reached!
% 1.65/1.31 % (16676)------------------------------
% 1.65/1.31 % (16676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31 % (16676)Termination reason: Unknown
% 1.65/1.31 % (16676)Termination phase: Saturation
% 1.65/1.31
% 1.65/1.31 % (16676)Memory used [KB]: 5756
% 1.65/1.31 % (16676)Time elapsed: 0.020 s
% 1.65/1.31 % (16676)Instructions burned: 28 (million)
% 1.65/1.31 % (16676)------------------------------
% 1.65/1.31 % (16676)------------------------------
% 1.65/1.31 % (16681)Instruction limit reached!
% 1.65/1.31 % (16681)------------------------------
% 1.65/1.31 % (16681)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31 % (16681)Termination reason: Unknown
% 1.65/1.31 % (16681)Termination phase: Saturation
% 1.65/1.31
% 1.65/1.31 % (16681)Memory used [KB]: 5500
% 1.65/1.31 % (16681)Time elapsed: 0.004 s
% 1.65/1.31 % (16681)Instructions burned: 4 (million)
% 1.65/1.31 % (16681)------------------------------
% 1.65/1.31 % (16681)------------------------------
% 1.65/1.31 % (16684)Instruction limit reached!
% 1.65/1.31 % (16684)------------------------------
% 1.65/1.31 % (16684)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31 % (16684)Termination reason: Unknown
% 1.65/1.31 % (16684)Termination phase: Saturation
% 1.65/1.31
% 1.65/1.31 % (16684)Memory used [KB]: 1023
% 1.65/1.31 % (16684)Time elapsed: 0.003 s
% 1.65/1.31 % (16684)Instructions burned: 3 (million)
% 1.65/1.31 % (16684)------------------------------
% 1.65/1.31 % (16684)------------------------------
% 1.65/1.32 % (16679)First to succeed.
% 1.65/1.32 % (16683)Instruction limit reached!
% 1.65/1.32 % (16683)------------------------------
% 1.65/1.32 % (16683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32 % (16683)Termination reason: Unknown
% 1.65/1.32 % (16683)Termination phase: Saturation
% 1.65/1.32
% 1.65/1.32 % (16683)Memory used [KB]: 5628
% 1.65/1.32 % (16683)Time elapsed: 0.012 s
% 1.65/1.32 % (16683)Instructions burned: 15 (million)
% 1.65/1.32 % (16683)------------------------------
% 1.65/1.32 % (16683)------------------------------
% 1.65/1.32 % (16679)Refutation found. Thanks to Tanya!
% 1.65/1.32 % SZS status Theorem for DTF2THF_16577
% 1.65/1.32 % SZS output start Proof for DTF2THF_16577
% 1.65/1.32 thf(func_def_0, type, eats: $i > $i > $o).
% 1.65/1.32 thf(func_def_1, type, grain: $i > $o).
% 1.65/1.32 thf(func_def_2, type, animal: $i > $o).
% 1.65/1.32 thf(func_def_3, type, snail: $i > $o).
% 1.65/1.32 thf(func_def_4, type, sf: $i > $i).
% 1.65/1.32 thf(func_def_5, type, plant: $i > $o).
% 1.65/1.32 thf(func_def_6, type, bird: $i > $o).
% 1.65/1.32 thf(func_def_7, type, wolf: $i > $o).
% 1.65/1.32 thf(func_def_8, type, fox: $i > $o).
% 1.65/1.32 thf(func_def_9, type, msmaller: $i > $i > $o).
% 1.65/1.32 thf(f405,plain,(
% 1.65/1.32 $false),
% 1.65/1.32 inference(avatar_sat_refutation,[status(thm)],[f63,f73,f124,f138,f164,f167,f184,f269,f274,f393,f404])).
% 1.65/1.32 thf(f404,plain,(
% 1.65/1.32 ~spl0_27),
% 1.65/1.32 inference(avatar_contradiction_clause,[status(thm)],[f403])).
% 1.65/1.32 thf(f403,plain,(
% 1.65/1.32 $false | ~spl0_27),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f402])).
% 1.65/1.32 thf(f402,plain,(
% 1.65/1.32 ($true != $true) | ~spl0_27),
% 1.65/1.32 inference(superposition,[status(thm)],[f392,f13])).
% 1.65/1.32 thf(f13,plain,(
% 1.65/1.32 ((fox @ a_fox) = $true)),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f7,plain,(
% 1.65/1.32 ! [X0 : $i] : (((grain @ X0) != $true) | ((plant @ X0) = $true)) & ! [X1 : $i] : (((animal @ X1) = $true) | ((bird @ X1) != $true)) & ! [X2 : $i,X3 : $i] : (((eats @ X3 @ X2) != $true) | ((wolf @ X3) != $true) | ((fox @ X2) != $true)) & ! [X4 : $i,X5 : $i] : (((bird @ X4) != $true) | ((msmaller @ X4 @ X5) = $true) | ((fox @ X5) != $true)) & ! [X6 : $i] : (((eats @ X6 @ (sf @ X6)) = $true) | ((snail @ X6) != $true)) & ! [X7 : $i] : (((snail @ X7) != $true) | ((plant @ (sf @ X7)) = $true)) & ! [X8 : $i] : (((animal @ X8) = $true) | ((fox @ X8) != $true)) & ! [X9 : $i,X10 : $i,X11 : $i] : (((animal @ X9) != $true) | ($true != (eats @ X9 @ X11)) | ((eats @ X11 @ X10) != $true) | ($true != (animal @ X11)) | ((grain @ X10) != $true)) & ((snail @ a_snail) = $true) & ((wolf @ a_wolf) = $true) & ! [X12 : $i,X13 : $i] : (((msmaller @ X12 @ X13) = $true) | ((fox @ X12) != $true) | ((wolf @ X13) != $true)) & ! [X14 : $i] : (((animal @ X14) = $true) | ($true != (snail @ X14))) & ((grain @ a_grain) = $true) & ! [X15 : $i,X16 : $i,X17 : $i,X18 : $i] : (((msmaller @ X15 @ X18) != $true) | ((animal @ X18) != $true) | ((animal @ X15) != $true) | ((eats @ X18 @ X16) = $true) | ((eats @ X15 @ X17) != $true) | ((plant @ X16) != $true) | ((plant @ X17) != $true) | ($true = (eats @ X18 @ X15))) & ((fox @ a_fox) = $true) & ((bird @ a_bird) = $true) & ! [X19 : $i,X20 : $i] : (((snail @ X20) != $true) | ((bird @ X19) != $true) | ((msmaller @ X20 @ X19) = $true)) & ! [X21 : $i,X22 : $i] : (((wolf @ X22) != $true) | ((eats @ X22 @ X21) != $true) | ((grain @ X21) != $true)) & ! [X23 : $i,X24 : $i] : (($true != (bird @ X24)) | ((snail @ X23) != $true) | ((eats @ X24 @ X23) != $true)) & ! [X25 : $i] : (((animal @ X25) = $true) | ((wolf @ X25) != $true))),
% 1.65/1.32 inference(rectify,[status(thm)],[f6])).
% 1.65/1.32 thf(f6,plain,(
% 1.65/1.32 ! [X10 : $i] : (((grain @ X10) != $true) | ((plant @ X10) = $true)) & ! [X6 : $i] : (((animal @ X6) = $true) | ((bird @ X6) != $true)) & ! [X4 : $i,X5 : $i] : (((eats @ X5 @ X4) != $true) | ((wolf @ X5) != $true) | ((fox @ X4) != $true)) & ! [X2 : $i,X1 : $i] : (($true != (bird @ X2)) | ((msmaller @ X2 @ X1) = $true) | ((fox @ X1) != $true)) & ! [X0 : $i] : (((eats @ X0 @ (sf @ X0)) = $true) | ((snail @ X0) != $true)) & ! [X16 : $i] : (((snail @ X16) != $true) | ((plant @ (sf @ X16)) = $true)) & ! [X13 : $i] : (((animal @ X13) = $true) | ((fox @ X13) != $true)) & ! [X8 : $i,X9 : $i,X7 : $i] : (((animal @ X8) != $true) | ($true != (eats @ X8 @ X7)) | ((eats @ X7 @ X9) != $true) | ((animal @ X7) != $true) | ((grain @ X9) != $true)) & ((snail @ a_snail) = $true) & ((wolf @ a_wolf) = $true) & ! [X15 : $i,X14 : $i] : (($true = (msmaller @ X15 @ X14)) | ((fox @ X15) != $true) | ((wolf @ X14) != $true)) & ! [X3 : $i] : (((animal @ X3) = $true) | ((snail @ X3) != $true)) & ((grain @ a_grain) = $true) & ! [X23 : $i,X21 : $i,X22 : $i,X20 : $i] : (((msmaller @ X23 @ X20) != $true) | ((animal @ X20) != $true) | ((animal @ X23) != $true) | ((eats @ X20 @ X21) = $true) | ((eats @ X23 @ X22) != $true) | ((plant @ X21) != $true) | ($true != (plant @ X22)) | ($true = (eats @ X20 @ X23))) & ((fox @ a_fox) = $true) & ((bird @ a_bird) = $true) & ! [X24 : $i,X25 : $i] : (((snail @ X25) != $true) | ($true != (bird @ X24)) | ($true = (msmaller @ X25 @ X24))) & ! [X12 : $i,X11 : $i] : (((wolf @ X11) != $true) | ((eats @ X11 @ X12) != $true) | ((grain @ X12) != $true)) & ! [X18 : $i,X19 : $i] : (((bird @ X19) != $true) | ($true != (snail @ X18)) | ((eats @ X19 @ X18) != $true)) & ! [X17 : $i] : (((animal @ X17) = $true) | ((wolf @ X17) != $true))),
% 1.65/1.32 inference(flattening,[status(thm)],[f5])).
% 1.65/1.32 thf(f5,plain,(
% 1.65/1.32 ~~(! [X0 : $i] : (((eats @ X0 @ (sf @ X0)) = $true) | ~((snail @ X0) = $true)) & ! [X1 : $i,X2 : $i] : (~((fox @ X1) = $true) | ((msmaller @ X2 @ X1) = $true) | ~($true = (bird @ X2))) & ((bird @ a_bird) = $true) & ! [X3 : $i] : (((animal @ X3) = $true) | ~((snail @ X3) = $true)) & ! [X4 : $i,X5 : $i] : (~((wolf @ X5) = $true) | ~((eats @ X5 @ X4) = $true) | ~((fox @ X4) = $true)) & ! [X6 : $i] : (~((bird @ X6) = $true) | ((animal @ X6) = $true)) & ! [X7 : $i,X8 : $i,X9 : $i] : (~($true = (eats @ X8 @ X7)) | ~((grain @ X9) = $true) | ~((animal @ X7) = $true) | ~((eats @ X7 @ X9) = $true) | ~((animal @ X8) = $true)) & ((fox @ a_fox) = $true) & ! [X10 : $i] : (~((grain @ X10) = $true) | ((plant @ X10) = $true)) & ! [X11 : $i,X12 : $i] : (~((grain @ X12) = $true) | ~((wolf @ X11) = $true) | ~((eats @ X11 @ X12) = $true)) & ! [X13 : $i] : (~((fox @ X13) = $true) | ((animal @ X13) = $true)) & ! [X14 : $i,X15 : $i] : (($true = (msmaller @ X15 @ X14)) | ~((wolf @ X14) = $true) | ~((fox @ X15) = $true)) & ! [X16 : $i] : (((plant @ (sf @ X16)) = $true) | ~((snail @ X16) = $true)) & ((grain @ a_grain) = $true) & ((snail @ a_snail) = $true) & ! [X17 : $i] : (~((wolf @ X17) = $true) | ((animal @ X17) = $true)) & ! [X18 : $i,X19 : $i] : (~((bird @ X19) = $true) | ~((eats @ X19 @ X18) = $true) | ~($true = (snail @ X18))) & ! [X20 : $i,X21 : $i,X22 : $i,X23 : $i] : (~($true = (plant @ X22)) | ((eats @ X20 @ X21) = $true) | ~((eats @ X23 @ X22) = $true) | ($true = (eats @ X20 @ X23)) | ~((plant @ X21) = $true) | ~((animal @ X20) = $true) | ~((animal @ X23) = $true) | ~((msmaller @ X23 @ X20) = $true)) & ! [X24 : $i,X25 : $i] : (~($true = (bird @ X24)) | ($true = (msmaller @ X25 @ X24)) | ~((snail @ X25) = $true)) & ((wolf @ a_wolf) = $true))),
% 1.65/1.32 inference(fool_elimination,[status(thm)],[f4])).
% 1.65/1.32 thf(f4,plain,(
% 1.65/1.32 ~~(! [X0 : $i] : ((eats @ X0 @ (sf @ X0)) | ~(snail @ X0)) & ! [X1 : $i,X2 : $i] : (~(fox @ X1) | (msmaller @ X2 @ X1) | ~(bird @ X2)) & (bird @ a_bird) & ! [X3 : $i] : ((animal @ X3) | ~(snail @ X3)) & ! [X4 : $i,X5 : $i] : (~(wolf @ X5) | ~(eats @ X5 @ X4) | ~(fox @ X4)) & ! [X6 : $i] : (~(bird @ X6) | (animal @ X6)) & ! [X7 : $i,X8 : $i,X9 : $i] : (~(eats @ X8 @ X7) | ~(grain @ X9) | ~(animal @ X7) | ~(eats @ X7 @ X9) | ~(animal @ X8)) & (fox @ a_fox) & ! [X10 : $i] : (~(grain @ X10) | (plant @ X10)) & ! [X11 : $i,X12 : $i] : (~(grain @ X12) | ~(wolf @ X11) | ~(eats @ X11 @ X12)) & ! [X13 : $i] : (~(fox @ X13) | (animal @ X13)) & ! [X14 : $i,X15 : $i] : ((msmaller @ X15 @ X14) | ~(wolf @ X14) | ~(fox @ X15)) & ! [X16 : $i] : ((plant @ (sf @ X16)) | ~(snail @ X16)) & (grain @ a_grain) & (snail @ a_snail) & ! [X17 : $i] : (~(wolf @ X17) | (animal @ X17)) & ! [X18 : $i,X19 : $i] : (~(bird @ X19) | ~(eats @ X19 @ X18) | ~(snail @ X18)) & ! [X20 : $i,X21 : $i,X22 : $i,X23 : $i] : (~(plant @ X22) | (eats @ X20 @ X21) | ~(eats @ X23 @ X22) | (eats @ X20 @ X23) | ~(plant @ X21) | ~(animal @ X20) | ~(animal @ X23) | ~(msmaller @ X23 @ X20)) & ! [X24 : $i,X25 : $i] : (~(bird @ X24) | (msmaller @ X25 @ X24) | ~(snail @ X25)) & (wolf @ a_wolf))),
% 1.65/1.32 inference(rectify,[status(thm)],[f2])).
% 1.65/1.32 thf(f2,negated_conjecture,(
% 1.65/1.32 ~~(! [X3 : $i] : ((eats @ X3 @ (sf @ X3)) | ~(snail @ X3)) & ! [X6 : $i,X5 : $i] : (~(fox @ X6) | (msmaller @ X5 @ X6) | ~(bird @ X5)) & (bird @ a_bird) & ! [X0 : $i] : ((animal @ X0) | ~(snail @ X0)) & ! [X6 : $i,X7 : $i] : (~(wolf @ X7) | ~(eats @ X7 @ X6) | ~(fox @ X6)) & ! [X0 : $i] : (~(bird @ X0) | (animal @ X0)) & ! [X9 : $i,X1 : $i,X8 : $i] : (~(eats @ X1 @ X9) | ~(grain @ X8) | ~(animal @ X9) | ~(eats @ X9 @ X8) | ~(animal @ X1)) & (fox @ a_fox) & ! [X0 : $i] : (~(grain @ X0) | (plant @ X0)) & ! [X7 : $i,X8 : $i] : (~(grain @ X8) | ~(wolf @ X7) | ~(eats @ X7 @ X8)) & ! [X0 : $i] : (~(fox @ X0) | (animal @ X0)) & ! [X7 : $i,X6 : $i] : ((msmaller @ X6 @ X7) | ~(wolf @ X7) | ~(fox @ X6)) & ! [X3 : $i] : ((plant @ (sf @ X3)) | ~(snail @ X3)) & (grain @ a_grain) & (snail @ a_snail) & ! [X0 : $i] : (~(wolf @ X0) | (animal @ X0)) & ! [X3 : $i,X5 : $i] : (~(bird @ X5) | ~(eats @ X5 @ X3) | ~(snail @ X3)) & ! [X1 : $i,X2 : $i,X4 : $i,X3 : $i] : (~(plant @ X4) | (eats @ X1 @ X2) | ~(eats @ X3 @ X4) | (eats @ X1 @ X3) | ~(plant @ X2) | ~(animal @ X1) | ~(animal @ X3) | ~(msmaller @ X3 @ X1)) & ! [X5 : $i,X3 : $i] : (~(bird @ X5) | (msmaller @ X3 @ X5) | ~(snail @ X3)) & (wolf @ a_wolf))),
% 1.65/1.32 inference(negated_conjecture,[status(cth)],[f1])).
% 1.65/1.32 thf(f1,conjecture,(
% 1.65/1.32 ~(! [X3 : $i] : ((eats @ X3 @ (sf @ X3)) | ~(snail @ X3)) & ! [X6 : $i,X5 : $i] : (~(fox @ X6) | (msmaller @ X5 @ X6) | ~(bird @ X5)) & (bird @ a_bird) & ! [X0 : $i] : ((animal @ X0) | ~(snail @ X0)) & ! [X6 : $i,X7 : $i] : (~(wolf @ X7) | ~(eats @ X7 @ X6) | ~(fox @ X6)) & ! [X0 : $i] : (~(bird @ X0) | (animal @ X0)) & ! [X9 : $i,X1 : $i,X8 : $i] : (~(eats @ X1 @ X9) | ~(grain @ X8) | ~(animal @ X9) | ~(eats @ X9 @ X8) | ~(animal @ X1)) & (fox @ a_fox) & ! [X0 : $i] : (~(grain @ X0) | (plant @ X0)) & ! [X7 : $i,X8 : $i] : (~(grain @ X8) | ~(wolf @ X7) | ~(eats @ X7 @ X8)) & ! [X0 : $i] : (~(fox @ X0) | (animal @ X0)) & ! [X7 : $i,X6 : $i] : ((msmaller @ X6 @ X7) | ~(wolf @ X7) | ~(fox @ X6)) & ! [X3 : $i] : ((plant @ (sf @ X3)) | ~(snail @ X3)) & (grain @ a_grain) & (snail @ a_snail) & ! [X0 : $i] : (~(wolf @ X0) | (animal @ X0)) & ! [X3 : $i,X5 : $i] : (~(bird @ X5) | ~(eats @ X5 @ X3) | ~(snail @ X3)) & ! [X1 : $i,X2 : $i,X4 : $i,X3 : $i] : (~(plant @ X4) | (eats @ X1 @ X2) | ~(eats @ X3 @ X4) | (eats @ X1 @ X3) | ~(plant @ X2) | ~(animal @ X1) | ~(animal @ X3) | ~(msmaller @ X3 @ X1)) & ! [X5 : $i,X3 : $i] : (~(bird @ X5) | (msmaller @ X3 @ X5) | ~(snail @ X3)) & (wolf @ a_wolf))),
% 1.65/1.32 file('/export/starexec/sandbox/tmp/tmp.gtSqk15ljp/DTF2THF_16577.p',cPUZ031_2)).
% 1.65/1.32 thf(f392,plain,(
% 1.65/1.32 ( ! [X2 : $i] : (((fox @ X2) != $true)) ) | ~spl0_27),
% 1.65/1.32 inference(avatar_component_clause,[status(thm)],[f391])).
% 1.65/1.32 thf(f391,definition,(
% 1.65/1.32 spl0_27 <=> ! [X2 : $i] : ((fox @ X2) != $true)),
% 1.65/1.32 introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition])).
% 1.65/1.32 thf(f393,plain,(
% 1.65/1.32 spl0_9 | spl0_27 | spl0_16 | spl0_6 | ~spl0_2 | ~spl0_20),
% 1.65/1.32 inference(avatar_split_clause,[status(thm)],[f389,f267,f61,f91,f209,f391,f105])).
% 1.65/1.32 thf(f105,definition,(
% 1.65/1.32 spl0_9 <=> ! [X0 : $i] : ((bird @ X0) != $true)),
% 1.65/1.32 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 1.65/1.32 thf(f209,definition,(
% 1.65/1.32 spl0_16 <=> ! [X1 : $i] : ((plant @ X1) != $true)),
% 1.65/1.32 introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition])).
% 1.65/1.32 thf(f91,definition,(
% 1.65/1.32 spl0_6 <=> ! [X1 : $i] : ((grain @ X1) != $true)),
% 1.65/1.32 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 1.65/1.32 thf(f61,definition,(
% 1.65/1.32 spl0_2 <=> ! [X0 : $i,X3 : $i] : (((eats @ X0 @ X3) = $true) | ((bird @ X0) != $true) | ((plant @ X3) != $true))),
% 1.65/1.32 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.65/1.32 thf(f267,definition,(
% 1.65/1.32 spl0_20 <=> ! [X4 : $i,X0 : $i,X3 : $i,X2 : $i] : (((animal @ X2) != $true) | ($true != (eats @ X2 @ X4)) | ((msmaller @ X2 @ X0) != $true) | ((fox @ X0) != $true) | ((grain @ X4) != $true) | ((plant @ X3) != $true) | ((eats @ X2 @ X3) != $true))),
% 1.65/1.32 introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition])).
% 1.65/1.32 thf(f389,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ((fox @ X2) != $true) | ((grain @ X1) != $true) | ((plant @ X3) != $true)) ) | (~spl0_2 | ~spl0_20)),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f388,f62])).
% 1.65/1.32 thf(f62,plain,(
% 1.65/1.32 ( ! [X3 : $i,X0 : $i] : (((eats @ X0 @ X3) = $true) | ((plant @ X3) != $true) | ((bird @ X0) != $true)) ) | ~spl0_2),
% 1.65/1.32 inference(avatar_component_clause,[status(thm)],[f61])).
% 1.65/1.32 thf(f388,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ((eats @ X0 @ X3) != $true) | ((grain @ X1) != $true) | ((fox @ X2) != $true) | ((plant @ X3) != $true)) ) | (~spl0_2 | ~spl0_20)),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f387,f24])).
% 1.65/1.32 thf(f24,plain,(
% 1.65/1.32 ( ! [X4 : $i,X5 : $i] : (((msmaller @ X4 @ X5) = $true) | ((fox @ X5) != $true) | ((bird @ X4) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f387,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((msmaller @ X0 @ X2) != $true) | ((bird @ X0) != $true) | ((plant @ X3) != $true) | ((fox @ X2) != $true) | ((grain @ X1) != $true) | ((eats @ X0 @ X3) != $true)) ) | (~spl0_2 | ~spl0_20)),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f386,f27])).
% 1.65/1.32 thf(f27,plain,(
% 1.65/1.32 ( ! [X0 : $i] : (((plant @ X0) = $true) | ((grain @ X0) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f386,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((fox @ X2) != $true) | ((plant @ X1) != $true) | ((plant @ X3) != $true) | ((msmaller @ X0 @ X2) != $true) | ((bird @ X0) != $true) | ((grain @ X1) != $true) | ((eats @ X0 @ X3) != $true)) ) | (~spl0_2 | ~spl0_20)),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f383,f26])).
% 1.65/1.32 thf(f26,plain,(
% 1.65/1.32 ( ! [X1 : $i] : (((animal @ X1) = $true) | ((bird @ X1) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f383,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((plant @ X1) != $true) | ((fox @ X2) != $true) | ((eats @ X0 @ X3) != $true) | ((grain @ X1) != $true) | ((animal @ X0) != $true) | ((plant @ X3) != $true) | ((msmaller @ X0 @ X2) != $true) | ((bird @ X0) != $true)) ) | (~spl0_2 | ~spl0_20)),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f375])).
% 1.65/1.32 thf(f375,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((msmaller @ X0 @ X2) != $true) | ((plant @ X1) != $true) | ((animal @ X0) != $true) | ((eats @ X0 @ X3) != $true) | ((fox @ X2) != $true) | ((plant @ X3) != $true) | ($true != $true) | ((bird @ X0) != $true) | ((grain @ X1) != $true)) ) | (~spl0_2 | ~spl0_20)),
% 1.65/1.32 inference(superposition,[status(thm)],[f268,f62])).
% 1.65/1.32 thf(f268,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X4 : $i] : (($true != (eats @ X2 @ X4)) | ((fox @ X0) != $true) | ((plant @ X3) != $true) | ((grain @ X4) != $true) | ((animal @ X2) != $true) | ((eats @ X2 @ X3) != $true) | ((msmaller @ X2 @ X0) != $true)) ) | ~spl0_20),
% 1.65/1.32 inference(avatar_component_clause,[status(thm)],[f267])).
% 1.65/1.32 thf(f274,plain,(
% 1.65/1.32 spl0_6 | ~spl0_16),
% 1.65/1.32 inference(avatar_split_clause,[status(thm)],[f273,f209,f91])).
% 1.65/1.32 thf(f273,plain,(
% 1.65/1.32 ( ! [X0 : $i] : (((grain @ X0) != $true)) ) | ~spl0_16),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f270])).
% 1.65/1.32 thf(f270,plain,(
% 1.65/1.32 ( ! [X0 : $i] : (((grain @ X0) != $true) | ($true != $true)) ) | ~spl0_16),
% 1.65/1.32 inference(superposition,[status(thm)],[f210,f27])).
% 1.65/1.32 thf(f210,plain,(
% 1.65/1.32 ( ! [X1 : $i] : (((plant @ X1) != $true)) ) | ~spl0_16),
% 1.65/1.32 inference(avatar_component_clause,[status(thm)],[f209])).
% 1.65/1.32 thf(f269,plain,(
% 1.65/1.32 spl0_20 | spl0_16 | ~spl0_4),
% 1.65/1.32 inference(avatar_split_clause,[status(thm)],[f265,f71,f209,f267])).
% 1.65/1.32 thf(f71,definition,(
% 1.65/1.32 spl0_4 <=> ! [X2 : $i,X1 : $i] : (((plant @ X2) != $true) | ((fox @ X1) != $true) | ((eats @ X1 @ X2) != $true))),
% 1.65/1.32 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 1.65/1.32 thf(f265,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((animal @ X2) != $true) | ((eats @ X2 @ X3) != $true) | ((plant @ X3) != $true) | ((grain @ X4) != $true) | ((fox @ X0) != $true) | ((msmaller @ X2 @ X0) != $true) | ((plant @ X1) != $true) | ($true != (eats @ X2 @ X4))) ) | ~spl0_4),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f244,f21])).
% 1.65/1.32 thf(f21,plain,(
% 1.65/1.32 ( ! [X8 : $i] : (((animal @ X8) = $true) | ((fox @ X8) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f244,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((msmaller @ X2 @ X0) != $true) | ((fox @ X0) != $true) | ((animal @ X0) != $true) | ((grain @ X4) != $true) | ((plant @ X3) != $true) | ((animal @ X2) != $true) | ((eats @ X2 @ X3) != $true) | ((plant @ X1) != $true) | ($true != (eats @ X2 @ X4))) ) | ~spl0_4),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f243])).
% 1.65/1.32 thf(f243,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((msmaller @ X2 @ X0) != $true) | ($true != $true) | ((animal @ X2) != $true) | ((eats @ X2 @ X3) != $true) | ((grain @ X4) != $true) | ($true != (eats @ X2 @ X4)) | ((plant @ X1) != $true) | ((fox @ X0) != $true) | ((plant @ X3) != $true) | ((animal @ X0) != $true)) ) | ~spl0_4),
% 1.65/1.32 inference(duplicate_literal_removal,[status(thm)],[f241])).
% 1.65/1.32 thf(f241,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((msmaller @ X2 @ X0) != $true) | ($true != $true) | ((animal @ X2) != $true) | ((eats @ X2 @ X3) != $true) | ((plant @ X1) != $true) | ((animal @ X0) != $true) | ($true != (eats @ X2 @ X4)) | ((plant @ X3) != $true) | ((fox @ X0) != $true) | ((grain @ X4) != $true) | ((plant @ X1) != $true)) ) | ~spl0_4),
% 1.65/1.32 inference(superposition,[status(thm)],[f72,f49])).
% 1.65/1.32 thf(f49,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((eats @ X0 @ X4) = $true) | ((eats @ X1 @ X3) != $true) | ((animal @ X1) != $true) | ((plant @ X4) != $true) | ((plant @ X3) != $true) | ((msmaller @ X1 @ X0) != $true) | ((grain @ X2) != $true) | ((eats @ X1 @ X2) != $true) | ((animal @ X0) != $true)) )),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f48])).
% 1.65/1.32 thf(f48,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((eats @ X0 @ X4) = $true) | ($true != $true) | ((plant @ X4) != $true) | ((eats @ X1 @ X3) != $true) | ((animal @ X0) != $true) | ((animal @ X1) != $true) | ((eats @ X1 @ X2) != $true) | ((grain @ X2) != $true) | ((plant @ X3) != $true) | ((msmaller @ X1 @ X0) != $true)) )),
% 1.65/1.32 inference(duplicate_literal_removal,[status(thm)],[f40])).
% 1.65/1.32 thf(f40,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (((animal @ X0) != $true) | ((plant @ X3) != $true) | ((grain @ X2) != $true) | ((animal @ X1) != $true) | ((animal @ X0) != $true) | ((eats @ X0 @ X4) = $true) | ((eats @ X1 @ X3) != $true) | ($true != $true) | ((animal @ X1) != $true) | ((eats @ X1 @ X2) != $true) | ((plant @ X4) != $true) | ((msmaller @ X1 @ X0) != $true)) )),
% 1.65/1.32 inference(superposition,[status(thm)],[f20,f14])).
% 1.65/1.32 thf(f14,plain,(
% 1.65/1.32 ( ! [X18 : $i,X16 : $i,X17 : $i,X15 : $i] : (($true = (eats @ X18 @ X15)) | ((plant @ X17) != $true) | ((eats @ X18 @ X16) = $true) | ((animal @ X15) != $true) | ((animal @ X18) != $true) | ((eats @ X15 @ X17) != $true) | ((msmaller @ X15 @ X18) != $true) | ((plant @ X16) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f20,plain,(
% 1.65/1.32 ( ! [X10 : $i,X11 : $i,X9 : $i] : (($true != (eats @ X9 @ X11)) | ($true != (animal @ X11)) | ((animal @ X9) != $true) | ((eats @ X11 @ X10) != $true) | ((grain @ X10) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f72,plain,(
% 1.65/1.32 ( ! [X2 : $i,X1 : $i] : (((eats @ X1 @ X2) != $true) | ((plant @ X2) != $true) | ((fox @ X1) != $true)) ) | ~spl0_4),
% 1.65/1.32 inference(avatar_component_clause,[status(thm)],[f71])).
% 1.65/1.32 thf(f184,plain,(
% 1.65/1.32 ~spl0_12),
% 1.65/1.32 inference(avatar_contradiction_clause,[status(thm)],[f183])).
% 1.65/1.32 thf(f183,plain,(
% 1.65/1.32 $false | ~spl0_12),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f182])).
% 1.65/1.32 thf(f182,plain,(
% 1.65/1.32 ($true != $true) | ~spl0_12),
% 1.65/1.32 inference(superposition,[status(thm)],[f154,f18])).
% 1.65/1.32 thf(f18,plain,(
% 1.65/1.32 ((wolf @ a_wolf) = $true)),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f154,plain,(
% 1.65/1.32 ( ! [X0 : $i] : (((wolf @ X0) != $true)) ) | ~spl0_12),
% 1.65/1.32 inference(avatar_component_clause,[status(thm)],[f153])).
% 1.65/1.32 thf(f153,definition,(
% 1.65/1.32 spl0_12 <=> ! [X0 : $i] : ((wolf @ X0) != $true)),
% 1.65/1.32 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 1.65/1.32 thf(f167,plain,(
% 1.65/1.32 ~spl0_9),
% 1.65/1.32 inference(avatar_contradiction_clause,[status(thm)],[f166])).
% 1.65/1.32 thf(f166,plain,(
% 1.65/1.32 $false | ~spl0_9),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f165])).
% 1.65/1.32 thf(f165,plain,(
% 1.65/1.32 ($true != $true) | ~spl0_9),
% 1.65/1.32 inference(superposition,[status(thm)],[f106,f12])).
% 1.65/1.32 thf(f12,plain,(
% 1.65/1.32 ((bird @ a_bird) = $true)),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f106,plain,(
% 1.65/1.32 ( ! [X0 : $i] : (((bird @ X0) != $true)) ) | ~spl0_9),
% 1.65/1.32 inference(avatar_component_clause,[status(thm)],[f105])).
% 1.65/1.32 thf(f164,plain,(
% 1.65/1.32 spl0_6 | spl0_12 | ~spl0_3),
% 1.65/1.32 inference(avatar_split_clause,[status(thm)],[f163,f68,f153,f91])).
% 1.65/1.32 thf(f68,definition,(
% 1.65/1.32 spl0_3 <=> ! [X0 : $i,X3 : $i] : (((eats @ X0 @ X3) = $true) | ((plant @ X3) != $true) | ((wolf @ X0) != $true))),
% 1.65/1.32 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 1.65/1.32 thf(f163,plain,(
% 1.65/1.32 ( ! [X0 : $i,X1 : $i] : (((grain @ X1) != $true) | ((wolf @ X0) != $true)) ) | ~spl0_3),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f145,f27])).
% 1.65/1.32 thf(f145,plain,(
% 1.65/1.32 ( ! [X0 : $i,X1 : $i] : (((plant @ X1) != $true) | ((wolf @ X0) != $true) | ((grain @ X1) != $true)) ) | ~spl0_3),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f144])).
% 1.65/1.32 thf(f144,plain,(
% 1.65/1.32 ( ! [X0 : $i,X1 : $i] : (((wolf @ X0) != $true) | ((plant @ X1) != $true) | ((grain @ X1) != $true) | ($true != $true)) ) | ~spl0_3),
% 1.65/1.32 inference(duplicate_literal_removal,[status(thm)],[f140])).
% 1.65/1.32 thf(f140,plain,(
% 1.65/1.32 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((plant @ X1) != $true) | ((grain @ X1) != $true) | ((wolf @ X0) != $true) | ((wolf @ X0) != $true)) ) | ~spl0_3),
% 1.65/1.32 inference(superposition,[status(thm)],[f10,f69])).
% 1.65/1.32 thf(f69,plain,(
% 1.65/1.32 ( ! [X3 : $i,X0 : $i] : (((eats @ X0 @ X3) = $true) | ((plant @ X3) != $true) | ((wolf @ X0) != $true)) ) | ~spl0_3),
% 1.65/1.32 inference(avatar_component_clause,[status(thm)],[f68])).
% 1.65/1.32 thf(f10,plain,(
% 1.65/1.32 ( ! [X21 : $i,X22 : $i] : (((eats @ X22 @ X21) != $true) | ((wolf @ X22) != $true) | ((grain @ X21) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f138,plain,(
% 1.65/1.32 ~spl0_6),
% 1.65/1.32 inference(avatar_contradiction_clause,[status(thm)],[f137])).
% 1.65/1.32 thf(f137,plain,(
% 1.65/1.32 $false | ~spl0_6),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f136])).
% 1.65/1.32 thf(f136,plain,(
% 1.65/1.32 ($true != $true) | ~spl0_6),
% 1.65/1.32 inference(superposition,[status(thm)],[f92,f15])).
% 1.65/1.32 thf(f15,plain,(
% 1.65/1.32 ((grain @ a_grain) = $true)),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f92,plain,(
% 1.65/1.32 ( ! [X1 : $i] : (((grain @ X1) != $true)) ) | ~spl0_6),
% 1.65/1.32 inference(avatar_component_clause,[status(thm)],[f91])).
% 1.65/1.32 thf(f124,plain,(
% 1.65/1.32 ~spl0_1),
% 1.65/1.32 inference(avatar_contradiction_clause,[status(thm)],[f123])).
% 1.65/1.32 thf(f123,plain,(
% 1.65/1.32 $false | ~spl0_1),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f122])).
% 1.65/1.32 thf(f122,plain,(
% 1.65/1.32 ($true != $true) | ~spl0_1),
% 1.65/1.32 inference(superposition,[status(thm)],[f121,f19])).
% 1.65/1.32 thf(f19,plain,(
% 1.65/1.32 ((snail @ a_snail) = $true)),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f121,plain,(
% 1.65/1.32 ( ! [X0 : $i] : (((snail @ X0) != $true)) ) | ~spl0_1),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f120,f22])).
% 1.65/1.32 thf(f22,plain,(
% 1.65/1.32 ( ! [X7 : $i] : (((plant @ (sf @ X7)) = $true) | ((snail @ X7) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f120,plain,(
% 1.65/1.32 ( ! [X0 : $i] : (((plant @ (sf @ X0)) != $true) | ((snail @ X0) != $true)) ) | ~spl0_1),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f119])).
% 1.65/1.32 thf(f119,plain,(
% 1.65/1.32 ( ! [X0 : $i] : (((snail @ X0) != $true) | ((plant @ (sf @ X0)) != $true) | ($true != $true)) ) | ~spl0_1),
% 1.65/1.32 inference(duplicate_literal_removal,[status(thm)],[f116])).
% 1.65/1.32 thf(f116,plain,(
% 1.65/1.32 ( ! [X0 : $i] : (((snail @ X0) != $true) | ($true != $true) | ((snail @ X0) != $true) | ((plant @ (sf @ X0)) != $true)) ) | ~spl0_1),
% 1.65/1.32 inference(superposition,[status(thm)],[f59,f23])).
% 1.65/1.32 thf(f23,plain,(
% 1.65/1.32 ( ! [X6 : $i] : (((eats @ X6 @ (sf @ X6)) = $true) | ((snail @ X6) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f59,plain,(
% 1.65/1.32 ( ! [X2 : $i,X1 : $i] : (((eats @ X1 @ X2) != $true) | ((plant @ X2) != $true) | ((snail @ X1) != $true)) ) | ~spl0_1),
% 1.65/1.32 inference(avatar_component_clause,[status(thm)],[f58])).
% 1.65/1.32 thf(f58,definition,(
% 1.65/1.32 spl0_1 <=> ! [X2 : $i,X1 : $i] : (((plant @ X2) != $true) | ((snail @ X1) != $true) | ((eats @ X1 @ X2) != $true))),
% 1.65/1.32 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.65/1.32 thf(f73,plain,(
% 1.65/1.32 spl0_3 | spl0_4),
% 1.65/1.32 inference(avatar_split_clause,[status(thm)],[f66,f71,f68])).
% 1.65/1.32 thf(f66,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eats @ X0 @ X3) = $true) | ((wolf @ X0) != $true) | ((plant @ X2) != $true) | ((eats @ X1 @ X2) != $true) | ((fox @ X1) != $true) | ((plant @ X3) != $true)) )),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f65,f21])).
% 1.65/1.32 thf(f65,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eats @ X1 @ X2) != $true) | ((fox @ X1) != $true) | ((plant @ X3) != $true) | ((wolf @ X0) != $true) | ((animal @ X1) != $true) | ((plant @ X2) != $true) | ((eats @ X0 @ X3) = $true)) )),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f64,f17])).
% 1.65/1.32 thf(f17,plain,(
% 1.65/1.32 ( ! [X12 : $i,X13 : $i] : (((msmaller @ X12 @ X13) = $true) | ((wolf @ X13) != $true) | ((fox @ X12) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f64,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eats @ X1 @ X2) != $true) | ((fox @ X1) != $true) | ((eats @ X0 @ X3) = $true) | ((plant @ X2) != $true) | ((msmaller @ X1 @ X0) != $true) | ((animal @ X1) != $true) | ((plant @ X3) != $true) | ((wolf @ X0) != $true)) )),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f50,f8])).
% 1.65/1.32 thf(f8,plain,(
% 1.65/1.32 ( ! [X25 : $i] : (((animal @ X25) = $true) | ((wolf @ X25) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f50,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X0) != $true) | ((plant @ X2) != $true) | ((msmaller @ X1 @ X0) != $true) | ((animal @ X1) != $true) | ((eats @ X0 @ X3) = $true) | ((wolf @ X0) != $true) | ((plant @ X3) != $true) | ((eats @ X1 @ X2) != $true) | ((fox @ X1) != $true)) )),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f41])).
% 1.65/1.32 thf(f41,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((plant @ X2) != $true) | ((eats @ X0 @ X3) = $true) | ((wolf @ X0) != $true) | ($true != $true) | ((fox @ X1) != $true) | ((msmaller @ X1 @ X0) != $true) | ((animal @ X1) != $true) | ((eats @ X1 @ X2) != $true) | ((plant @ X3) != $true) | ((animal @ X0) != $true)) )),
% 1.65/1.32 inference(superposition,[status(thm)],[f25,f14])).
% 1.65/1.32 thf(f25,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i] : (((eats @ X3 @ X2) != $true) | ((fox @ X2) != $true) | ((wolf @ X3) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f63,plain,(
% 1.65/1.32 spl0_1 | spl0_2),
% 1.65/1.32 inference(avatar_split_clause,[status(thm)],[f56,f61,f58])).
% 1.65/1.32 thf(f56,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eats @ X0 @ X3) = $true) | ((plant @ X3) != $true) | ((plant @ X2) != $true) | ((eats @ X1 @ X2) != $true) | ((snail @ X1) != $true) | ((bird @ X0) != $true)) )),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f55,f16])).
% 1.65/1.32 thf(f16,plain,(
% 1.65/1.32 ( ! [X14 : $i] : (((animal @ X14) = $true) | ($true != (snail @ X14))) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f55,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ((snail @ X1) != $true) | ((eats @ X1 @ X2) != $true) | ((plant @ X2) != $true) | ((plant @ X3) != $true) | ((eats @ X0 @ X3) = $true) | ((animal @ X1) != $true)) )),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f54,f11])).
% 1.65/1.32 thf(f11,plain,(
% 1.65/1.32 ( ! [X19 : $i,X20 : $i] : (((msmaller @ X20 @ X19) = $true) | ((snail @ X20) != $true) | ((bird @ X19) != $true)) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 thf(f54,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ((plant @ X2) != $true) | ((eats @ X0 @ X3) = $true) | ((plant @ X3) != $true) | ((snail @ X1) != $true) | ((msmaller @ X1 @ X0) != $true) | ((animal @ X1) != $true) | ((eats @ X1 @ X2) != $true)) )),
% 1.65/1.32 inference(subsumption_resolution,[status(thm)],[f53,f26])).
% 1.65/1.32 thf(f53,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X0) != $true) | ((bird @ X0) != $true) | ((eats @ X0 @ X3) = $true) | ((plant @ X3) != $true) | ((msmaller @ X1 @ X0) != $true) | ((animal @ X1) != $true) | ((snail @ X1) != $true) | ((plant @ X2) != $true) | ((eats @ X1 @ X2) != $true)) )),
% 1.65/1.32 inference(trivial_inequality_removal,[status(thm)],[f43])).
% 1.65/1.32 thf(f43,plain,(
% 1.65/1.32 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((snail @ X1) != $true) | ($true != $true) | ((eats @ X1 @ X2) != $true) | ((plant @ X3) != $true) | ((animal @ X1) != $true) | ((eats @ X0 @ X3) = $true) | ((animal @ X0) != $true) | ((bird @ X0) != $true) | ((msmaller @ X1 @ X0) != $true) | ((plant @ X2) != $true)) )),
% 1.65/1.32 inference(superposition,[status(thm)],[f9,f14])).
% 1.65/1.32 thf(f9,plain,(
% 1.65/1.32 ( ! [X24 : $i,X23 : $i] : (((eats @ X24 @ X23) != $true) | ((snail @ X23) != $true) | ($true != (bird @ X24))) )),
% 1.65/1.32 inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.32 % SZS output end Proof for DTF2THF_16577
% 1.65/1.32 % (16679)------------------------------
% 1.65/1.32 % (16679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32 % (16679)Termination reason: Refutation
% 1.65/1.32
% 1.65/1.32 % (16679)Memory used [KB]: 5884
% 1.65/1.32 % (16679)Time elapsed: 0.036 s
% 1.65/1.32 % (16679)Instructions burned: 107 (million)
% 1.65/1.32 % (16679)------------------------------
% 1.65/1.32 % (16679)------------------------------
% 1.65/1.32 % (16673)Success in time 0.033 s
%------------------------------------------------------------------------------