%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : PUZ031^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:28:20 AM UTC 2026
% Result : Theorem 1.87s 1.52s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 105 ( 11 unt; 0 typ; 11 def)
% Number of atoms : 1789 ( 488 equ; 0 cnn)
% Maximal formula atoms : 69 ( 17 avg)
% Number of connectives : 2100 ( 572 ~; 506 |; 150 &; 861 @)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 29 usr; 19 con; 0-2 aty)
% Number of variables : 361 ( 0 ^; 361 !; 0 ?; 361 :)
% 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,
caterpillar: $i > $o ).
thf(func_def_7,type,
cf: $i > $i ).
thf(func_def_8,type,
bird: $i > $o ).
thf(func_def_9,type,
wolf: $i > $o ).
thf(func_def_10,type,
fox: $i > $o ).
thf(func_def_11,type,
msmaller: $i > $i > $o ).
thf(f407,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f124,f127,f137,f157,f197,f200,f207,f265,f279,f298,f403,f406]) ).
thf(f406,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[status(thm)],[f405]) ).
thf(f405,plain,
( $false
| ~ spl0_27 ),
inference(trivial_inequality_removal,[status(thm)],[f404]) ).
thf(f404,plain,
( ( $true != $true )
| ~ spl0_27 ),
inference(superposition,[status(thm)],[f402,f21]) ).
thf(f21,plain,
( ( fox @ a_fox )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ! [X0: $i] :
( ( $true
= ( plant @ ( sf @ X0 ) ) )
| ( ( snail @ X0 )
!= $true ) )
& ! [X1: $i,X2: $i] :
( ( $true
!= ( wolf @ X1 ) )
| ( $true
!= ( grain @ X2 ) )
| ( ( eats @ X1 @ X2 )
!= $true ) )
& ! [X3: $i] :
( ( $true
!= ( grain @ X3 ) )
| ( ( plant @ X3 )
= $true ) )
& ! [X4: $i,X5: $i] :
( ( $true
= ( msmaller @ X4 @ X5 ) )
| ( $true
!= ( snail @ X4 ) )
| ( ( bird @ X5 )
!= $true ) )
& ! [X6: $i,X7: $i,X8: $i] :
( ( ( animal @ X7 )
!= $true )
| ( $true
!= ( eats @ X7 @ X6 ) )
| ( $true
!= ( grain @ X6 ) )
| ( ( eats @ X8 @ X7 )
!= $true )
| ( $true
!= ( animal @ X8 ) ) )
& ! [X9: $i] :
( ( ( snail @ X9 )
!= $true )
| ( $true
= ( eats @ X9 @ ( sf @ X9 ) ) ) )
& ! [X10: $i] :
( ( $true
!= ( caterpillar @ X10 ) )
| ( $true
= ( plant @ ( cf @ X10 ) ) ) )
& ! [X11: $i,X12: $i] :
( ( $true
!= ( snail @ X11 ) )
| ( $true
!= ( eats @ X12 @ X11 ) )
| ( $true
!= ( bird @ X12 ) ) )
& ! [X13: $i,X14: $i,X15: $i,X16: $i] :
( ( $true
!= ( animal @ X14 ) )
| ( $true
!= ( eats @ X14 @ X16 ) )
| ( $true
!= ( plant @ X13 ) )
| ( $true
= ( eats @ X15 @ X14 ) )
| ( $true
!= ( msmaller @ X14 @ X15 ) )
| ( $true
= ( eats @ X15 @ X13 ) )
| ( ( plant @ X16 )
!= $true )
| ( ( animal @ X15 )
!= $true ) )
& ! [X17: $i,X18: $i] :
( ( $true
!= ( bird @ X17 ) )
| ( ( fox @ X18 )
!= $true )
| ( $true
= ( msmaller @ X17 @ X18 ) ) )
& ! [X19: $i,X20: $i] :
( ( ( msmaller @ X19 @ X20 )
= $true )
| ( $true
!= ( wolf @ X20 ) )
| ( $true
!= ( fox @ X19 ) ) )
& ! [X21: $i] :
( ( ( snail @ X21 )
!= $true )
| ( ( animal @ X21 )
= $true ) )
& ( ( fox @ a_fox )
= $true )
& ( ( bird @ a_bird )
= $true )
& ! [X22: $i] :
( ( $true
= ( animal @ X22 ) )
| ( $true
!= ( wolf @ X22 ) ) )
& ! [X23: $i] :
( ( ( caterpillar @ X23 )
!= $true )
| ( $true
= ( eats @ X23 @ ( cf @ X23 ) ) ) )
& ! [X24: $i] :
( ( $true
!= ( caterpillar @ X24 ) )
| ( $true
= ( animal @ X24 ) ) )
& ! [X25: $i] :
( ( $true
= ( animal @ X25 ) )
| ( ( bird @ X25 )
!= $true ) )
& ( ( wolf @ a_wolf )
= $true )
& ! [X26: $i] :
( ( $true
= ( animal @ X26 ) )
| ( $true
!= ( fox @ X26 ) ) )
& ! [X27: $i,X28: $i] :
( ( ( wolf @ X28 )
!= $true )
| ( ( eats @ X28 @ X27 )
!= $true )
| ( ( fox @ X27 )
!= $true ) )
& ! [X29: $i,X30: $i] :
( ( $true
!= ( bird @ X30 ) )
| ( $true
= ( eats @ X30 @ X29 ) )
| ( ( caterpillar @ X29 )
!= $true ) )
& ( ( snail @ a_snail )
= $true )
& ( ( caterpillar @ a_caterpillar )
= $true )
& ( ( grain @ a_grain )
= $true )
& ! [X31: $i,X32: $i] :
( ( $true
!= ( bird @ X32 ) )
| ( ( caterpillar @ X31 )
!= $true )
| ( $true
= ( msmaller @ X31 @ X32 ) ) ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,plain,
( ! [X14: $i] :
( ( ( plant @ ( sf @ X14 ) )
= $true )
| ( ( snail @ X14 )
!= $true ) )
& ! [X27: $i,X26: $i] :
( ( $true
!= ( wolf @ X27 ) )
| ( ( grain @ X26 )
!= $true )
| ( $true
!= ( eats @ X27 @ X26 ) ) )
& ! [X15: $i] :
( ( ( grain @ X15 )
!= $true )
| ( $true
= ( plant @ X15 ) ) )
& ! [X24: $i,X25: $i] :
( ( $true
= ( msmaller @ X24 @ X25 ) )
| ( $true
!= ( snail @ X24 ) )
| ( ( bird @ X25 )
!= $true ) )
& ! [X9: $i,X8: $i,X7: $i] :
( ( $true
!= ( animal @ X8 ) )
| ( ( eats @ X8 @ X9 )
!= $true )
| ( ( grain @ X9 )
!= $true )
| ( $true
!= ( eats @ X7 @ X8 ) )
| ( ( animal @ X7 )
!= $true ) )
& ! [X28: $i] :
( ( $true
!= ( snail @ X28 ) )
| ( $true
= ( eats @ X28 @ ( sf @ X28 ) ) ) )
& ! [X6: $i] :
( ( $true
!= ( caterpillar @ X6 ) )
| ( $true
= ( plant @ ( cf @ X6 ) ) ) )
& ! [X4: $i,X5: $i] :
( ( $true
!= ( snail @ X4 ) )
| ( $true
!= ( eats @ X5 @ X4 ) )
| ( ( bird @ X5 )
!= $true ) )
& ! [X19: $i,X20: $i,X18: $i,X17: $i] :
( ( ( animal @ X20 )
!= $true )
| ( $true
!= ( eats @ X20 @ X17 ) )
| ( $true
!= ( plant @ X19 ) )
| ( $true
= ( eats @ X18 @ X20 ) )
| ( $true
!= ( msmaller @ X20 @ X18 ) )
| ( $true
= ( eats @ X18 @ X19 ) )
| ( ( plant @ X17 )
!= $true )
| ( $true
!= ( animal @ X18 ) ) )
& ! [X23: $i,X22: $i] :
( ( ( bird @ X23 )
!= $true )
| ( $true
!= ( fox @ X22 ) )
| ( ( msmaller @ X23 @ X22 )
= $true ) )
& ! [X30: $i,X29: $i] :
( ( ( msmaller @ X30 @ X29 )
= $true )
| ( ( wolf @ X29 )
!= $true )
| ( $true
!= ( fox @ X30 ) ) )
& ! [X3: $i] :
( ( ( snail @ X3 )
!= $true )
| ( ( animal @ X3 )
= $true ) )
& ( ( fox @ a_fox )
= $true )
& ( ( bird @ a_bird )
= $true )
& ! [X31: $i] :
( ( $true
= ( animal @ X31 ) )
| ( $true
!= ( wolf @ X31 ) ) )
& ! [X32: $i] :
( ( $true
!= ( caterpillar @ X32 ) )
| ( $true
= ( eats @ X32 @ ( cf @ X32 ) ) ) )
& ! [X16: $i] :
( ( ( caterpillar @ X16 )
!= $true )
| ( $true
= ( animal @ X16 ) ) )
& ! [X2: $i] :
( ( $true
= ( animal @ X2 ) )
| ( $true
!= ( bird @ X2 ) ) )
& ( ( wolf @ a_wolf )
= $true )
& ! [X21: $i] :
( ( ( animal @ X21 )
= $true )
| ( ( fox @ X21 )
!= $true ) )
& ! [X1: $i,X0: $i] :
( ( ( wolf @ X0 )
!= $true )
| ( ( eats @ X0 @ X1 )
!= $true )
| ( $true
!= ( fox @ X1 ) ) )
& ! [X10: $i,X11: $i] :
( ( $true
!= ( bird @ X11 ) )
| ( $true
= ( eats @ X11 @ X10 ) )
| ( $true
!= ( caterpillar @ X10 ) ) )
& ( ( snail @ a_snail )
= $true )
& ( ( caterpillar @ a_caterpillar )
= $true )
& ( ( grain @ a_grain )
= $true )
& ! [X12: $i,X13: $i] :
( ( $true
!= ( bird @ X13 ) )
| ( ( caterpillar @ X12 )
!= $true )
| ( $true
= ( msmaller @ X12 @ X13 ) ) ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
~ ~ ( ! [X0: $i,X1: $i] :
( ( ( eats @ X0 @ X1 )
!= $true )
| ( $true
!= ( fox @ X1 ) )
| ( ( wolf @ X0 )
!= $true ) )
& ( ( wolf @ a_wolf )
= $true )
& ! [X2: $i] :
( ( $true
= ( animal @ X2 ) )
| ( $true
!= ( bird @ X2 ) ) )
& ! [X3: $i] :
( ( ( snail @ X3 )
!= $true )
| ( ( animal @ X3 )
= $true ) )
& ! [X4: $i,X5: $i] :
( ( $true
!= ( eats @ X5 @ X4 ) )
| ( $true
!= ( snail @ X4 ) )
| ( ( bird @ X5 )
!= $true ) )
& ! [X6: $i] :
( ( $true
= ( plant @ ( cf @ X6 ) ) )
| ( $true
!= ( caterpillar @ X6 ) ) )
& ( ( grain @ a_grain )
= $true )
& ! [X7: $i,X8: $i,X9: $i] :
( ( ( grain @ X9 )
!= $true )
| ( $true
!= ( eats @ X7 @ X8 ) )
| ( $true
!= ( animal @ X8 ) )
| ( ( eats @ X8 @ X9 )
!= $true )
| ( ( animal @ X7 )
!= $true ) )
& ! [X10: $i,X11: $i] :
( ( $true
!= ( caterpillar @ X10 ) )
| ( $true
!= ( bird @ X11 ) )
| ( $true
= ( eats @ X11 @ X10 ) ) )
& ( ( bird @ a_bird )
= $true )
& ! [X12: $i,X13: $i] :
( ( $true
!= ( bird @ X13 ) )
| ( $true
= ( msmaller @ X12 @ X13 ) )
| ( ( caterpillar @ X12 )
!= $true ) )
& ! [X14: $i] :
( ( ( snail @ X14 )
!= $true )
| ( ( plant @ ( sf @ X14 ) )
= $true ) )
& ! [X15: $i] :
( ( $true
= ( plant @ X15 ) )
| ( ( grain @ X15 )
!= $true ) )
& ( ( snail @ a_snail )
= $true )
& ( ( caterpillar @ a_caterpillar )
= $true )
& ! [X16: $i] :
( ( ( caterpillar @ X16 )
!= $true )
| ( $true
= ( animal @ X16 ) ) )
& ! [X17: $i,X18: $i,X19: $i,X20: $i] :
( ( ( plant @ X17 )
!= $true )
| ( ( animal @ X20 )
!= $true )
| ( $true
!= ( msmaller @ X20 @ X18 ) )
| ( $true
!= ( eats @ X20 @ X17 ) )
| ( $true
= ( eats @ X18 @ X19 ) )
| ( $true
!= ( animal @ X18 ) )
| ( $true
!= ( plant @ X19 ) )
| ( $true
= ( eats @ X18 @ X20 ) ) )
& ! [X21: $i] :
( ( ( animal @ X21 )
= $true )
| ( ( fox @ X21 )
!= $true ) )
& ! [X22: $i,X23: $i] :
( ( ( bird @ X23 )
!= $true )
| ( ( msmaller @ X23 @ X22 )
= $true )
| ( $true
!= ( fox @ X22 ) ) )
& ! [X24: $i,X25: $i] :
( ( $true
!= ( snail @ X24 ) )
| ( $true
= ( msmaller @ X24 @ X25 ) )
| ( ( bird @ X25 )
!= $true ) )
& ! [X26: $i,X27: $i] :
( ( $true
!= ( eats @ X27 @ X26 ) )
| ( ( grain @ X26 )
!= $true )
| ( $true
!= ( wolf @ X27 ) ) )
& ! [X28: $i] :
( ( $true
!= ( snail @ X28 ) )
| ( $true
= ( eats @ X28 @ ( sf @ X28 ) ) ) )
& ( ( fox @ a_fox )
= $true )
& ! [X29: $i,X30: $i] :
( ( ( wolf @ X29 )
!= $true )
| ( $true
!= ( fox @ X30 ) )
| ( ( msmaller @ X30 @ X29 )
= $true ) )
& ! [X31: $i] :
( ( $true
= ( animal @ X31 ) )
| ( $true
!= ( wolf @ X31 ) ) )
& ! [X32: $i] :
( ( $true
!= ( caterpillar @ X32 ) )
| ( $true
= ( eats @ X32 @ ( cf @ X32 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ~ ( ! [X0: $i,X1: $i] :
( ~ ( eats @ X0 @ X1 )
| ~ ( fox @ X1 )
| ~ ( wolf @ X0 ) )
& ( wolf @ a_wolf )
& ! [X2: $i] :
( ( animal @ X2 )
| ~ ( bird @ X2 ) )
& ! [X3: $i] :
( ~ ( snail @ X3 )
| ( animal @ X3 ) )
& ! [X4: $i,X5: $i] :
( ~ ( eats @ X5 @ X4 )
| ~ ( snail @ X4 )
| ~ ( bird @ X5 ) )
& ! [X6: $i] :
( ( plant @ ( cf @ X6 ) )
| ~ ( caterpillar @ X6 ) )
& ( grain @ a_grain )
& ! [X7: $i,X8: $i,X9: $i] :
( ~ ( grain @ X9 )
| ~ ( eats @ X7 @ X8 )
| ~ ( animal @ X8 )
| ~ ( eats @ X8 @ X9 )
| ~ ( animal @ X7 ) )
& ! [X10: $i,X11: $i] :
( ~ ( caterpillar @ X10 )
| ~ ( bird @ X11 )
| ( eats @ X11 @ X10 ) )
& ( bird @ a_bird )
& ! [X12: $i,X13: $i] :
( ~ ( bird @ X13 )
| ( msmaller @ X12 @ X13 )
| ~ ( caterpillar @ X12 ) )
& ! [X14: $i] :
( ~ ( snail @ X14 )
| ( plant @ ( sf @ X14 ) ) )
& ! [X15: $i] :
( ( plant @ X15 )
| ~ ( grain @ X15 ) )
& ( snail @ a_snail )
& ( caterpillar @ a_caterpillar )
& ! [X16: $i] :
( ~ ( caterpillar @ X16 )
| ( animal @ X16 ) )
& ! [X17: $i,X18: $i,X19: $i,X20: $i] :
( ~ ( plant @ X17 )
| ~ ( animal @ X20 )
| ~ ( msmaller @ X20 @ X18 )
| ~ ( eats @ X20 @ X17 )
| ( eats @ X18 @ X19 )
| ~ ( animal @ X18 )
| ~ ( plant @ X19 )
| ( eats @ X18 @ X20 ) )
& ! [X21: $i] :
( ( animal @ X21 )
| ~ ( fox @ X21 ) )
& ! [X22: $i,X23: $i] :
( ~ ( bird @ X23 )
| ( msmaller @ X23 @ X22 )
| ~ ( fox @ X22 ) )
& ! [X24: $i,X25: $i] :
( ~ ( snail @ X24 )
| ( msmaller @ X24 @ X25 )
| ~ ( bird @ X25 ) )
& ! [X26: $i,X27: $i] :
( ~ ( eats @ X27 @ X26 )
| ~ ( grain @ X26 )
| ~ ( wolf @ X27 ) )
& ! [X28: $i] :
( ~ ( snail @ X28 )
| ( eats @ X28 @ ( sf @ X28 ) ) )
& ( fox @ a_fox )
& ! [X29: $i,X30: $i] :
( ~ ( wolf @ X29 )
| ~ ( fox @ X30 )
| ( msmaller @ X30 @ X29 ) )
& ! [X31: $i] :
( ( animal @ X31 )
| ~ ( wolf @ X31 ) )
& ! [X32: $i] :
( ~ ( caterpillar @ X32 )
| ( eats @ X32 @ ( cf @ X32 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ~ ( ! [X8: $i,X7: $i] :
( ~ ( eats @ X8 @ X7 )
| ~ ( fox @ X7 )
| ~ ( wolf @ X8 ) )
& ( wolf @ a_wolf )
& ! [X0: $i] :
( ( animal @ X0 )
| ~ ( bird @ X0 ) )
& ! [X0: $i] :
( ~ ( snail @ X0 )
| ( animal @ X0 ) )
& ! [X3: $i,X6: $i] :
( ~ ( eats @ X6 @ X3 )
| ~ ( snail @ X3 )
| ~ ( bird @ X6 ) )
& ! [X5: $i] :
( ( plant @ ( cf @ X5 ) )
| ~ ( caterpillar @ X5 ) )
& ( grain @ a_grain )
& ! [X1: $i,X10: $i,X9: $i] :
( ~ ( grain @ X9 )
| ~ ( eats @ X1 @ X10 )
| ~ ( animal @ X10 )
| ~ ( eats @ X10 @ X9 )
| ~ ( animal @ X1 ) )
& ! [X5: $i,X6: $i] :
( ~ ( caterpillar @ X5 )
| ~ ( bird @ X6 )
| ( eats @ X6 @ X5 ) )
& ( bird @ a_bird )
& ! [X5: $i,X6: $i] :
( ~ ( bird @ X6 )
| ( msmaller @ X5 @ X6 )
| ~ ( caterpillar @ X5 ) )
& ! [X3: $i] :
( ~ ( snail @ X3 )
| ( plant @ ( sf @ X3 ) ) )
& ! [X0: $i] :
( ( plant @ X0 )
| ~ ( grain @ X0 ) )
& ( snail @ a_snail )
& ( caterpillar @ a_caterpillar )
& ! [X0: $i] :
( ~ ( caterpillar @ X0 )
| ( animal @ X0 ) )
& ! [X4: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( plant @ X4 )
| ~ ( animal @ X3 )
| ~ ( msmaller @ X3 @ X1 )
| ~ ( eats @ X3 @ X4 )
| ( eats @ X1 @ X2 )
| ~ ( animal @ X1 )
| ~ ( plant @ X2 )
| ( eats @ X1 @ X3 ) )
& ! [X0: $i] :
( ( animal @ X0 )
| ~ ( fox @ X0 ) )
& ! [X7: $i,X6: $i] :
( ~ ( bird @ X6 )
| ( msmaller @ X6 @ X7 )
| ~ ( fox @ X7 ) )
& ! [X3: $i,X6: $i] :
( ~ ( snail @ X3 )
| ( msmaller @ X3 @ X6 )
| ~ ( bird @ X6 ) )
& ! [X9: $i,X8: $i] :
( ~ ( eats @ X8 @ X9 )
| ~ ( grain @ X9 )
| ~ ( wolf @ X8 ) )
& ! [X3: $i] :
( ~ ( snail @ X3 )
| ( eats @ X3 @ ( sf @ X3 ) ) )
& ( fox @ a_fox )
& ! [X8: $i,X7: $i] :
( ~ ( wolf @ X8 )
| ~ ( fox @ X7 )
| ( msmaller @ X7 @ X8 ) )
& ! [X0: $i] :
( ( animal @ X0 )
| ~ ( wolf @ X0 ) )
& ! [X5: $i] :
( ~ ( caterpillar @ X5 )
| ( eats @ X5 @ ( cf @ X5 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
~ ( ! [X8: $i,X7: $i] :
( ~ ( eats @ X8 @ X7 )
| ~ ( fox @ X7 )
| ~ ( wolf @ X8 ) )
& ( wolf @ a_wolf )
& ! [X0: $i] :
( ( animal @ X0 )
| ~ ( bird @ X0 ) )
& ! [X0: $i] :
( ~ ( snail @ X0 )
| ( animal @ X0 ) )
& ! [X3: $i,X6: $i] :
( ~ ( eats @ X6 @ X3 )
| ~ ( snail @ X3 )
| ~ ( bird @ X6 ) )
& ! [X5: $i] :
( ( plant @ ( cf @ X5 ) )
| ~ ( caterpillar @ X5 ) )
& ( grain @ a_grain )
& ! [X1: $i,X10: $i,X9: $i] :
( ~ ( grain @ X9 )
| ~ ( eats @ X1 @ X10 )
| ~ ( animal @ X10 )
| ~ ( eats @ X10 @ X9 )
| ~ ( animal @ X1 ) )
& ! [X5: $i,X6: $i] :
( ~ ( caterpillar @ X5 )
| ~ ( bird @ X6 )
| ( eats @ X6 @ X5 ) )
& ( bird @ a_bird )
& ! [X5: $i,X6: $i] :
( ~ ( bird @ X6 )
| ( msmaller @ X5 @ X6 )
| ~ ( caterpillar @ X5 ) )
& ! [X3: $i] :
( ~ ( snail @ X3 )
| ( plant @ ( sf @ X3 ) ) )
& ! [X0: $i] :
( ( plant @ X0 )
| ~ ( grain @ X0 ) )
& ( snail @ a_snail )
& ( caterpillar @ a_caterpillar )
& ! [X0: $i] :
( ~ ( caterpillar @ X0 )
| ( animal @ X0 ) )
& ! [X4: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( plant @ X4 )
| ~ ( animal @ X3 )
| ~ ( msmaller @ X3 @ X1 )
| ~ ( eats @ X3 @ X4 )
| ( eats @ X1 @ X2 )
| ~ ( animal @ X1 )
| ~ ( plant @ X2 )
| ( eats @ X1 @ X3 ) )
& ! [X0: $i] :
( ( animal @ X0 )
| ~ ( fox @ X0 ) )
& ! [X7: $i,X6: $i] :
( ~ ( bird @ X6 )
| ( msmaller @ X6 @ X7 )
| ~ ( fox @ X7 ) )
& ! [X3: $i,X6: $i] :
( ~ ( snail @ X3 )
| ( msmaller @ X3 @ X6 )
| ~ ( bird @ X6 ) )
& ! [X9: $i,X8: $i] :
( ~ ( eats @ X8 @ X9 )
| ~ ( grain @ X9 )
| ~ ( wolf @ X8 ) )
& ! [X3: $i] :
( ~ ( snail @ X3 )
| ( eats @ X3 @ ( sf @ X3 ) ) )
& ( fox @ a_fox )
& ! [X8: $i,X7: $i] :
( ~ ( wolf @ X8 )
| ~ ( fox @ X7 )
| ( msmaller @ X7 @ X8 ) )
& ! [X0: $i] :
( ( animal @ X0 )
| ~ ( wolf @ X0 ) )
& ! [X5: $i] :
( ~ ( caterpillar @ X5 )
| ( eats @ X5 @ ( cf @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.T907uGUouf/DTF2THF_15490.p',cPUZ031_1) ).
thf(f402,plain,
( ! [X0: $i] :
( ( fox @ X0 )
!= $true )
| ~ spl0_27 ),
inference(avatar_component_clause,[status(thm)],[f401]) ).
thf(f401,definition,
( spl0_27
<=> ! [X0: $i] :
( ( fox @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition]) ).
thf(f403,plain,
( spl0_4
| spl0_16
| spl0_27
| ~ spl0_9
| ~ spl0_22 ),
inference(avatar_split_clause,[status(thm)],[f399,f296,f122,f401,f179,f60]) ).
thf(f60,definition,
( spl0_4
<=> ! [X0: $i] :
( ( bird @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f179,definition,
( spl0_16
<=> ! [X2: $i] :
( ( plant @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition]) ).
thf(f122,definition,
( spl0_9
<=> ! [X1: $i,X3: $i] :
( ( ( eats @ X1 @ X3 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( $true
!= ( fox @ X1 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f296,definition,
( spl0_22
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( ( plant @ X2 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( bird @ X1 )
!= $true )
| ( ( animal @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_22])],[avatar_definition]) ).
thf(f399,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( plant @ X1 ) )
| ( ( fox @ X0 )
!= $true )
| ( $true
!= ( bird @ X2 ) ) )
| ~ spl0_9
| ~ spl0_22 ),
inference(subsumption_resolution,[status(thm)],[f398,f24]) ).
thf(f24,plain,
! [X18: $i,X17: $i] :
( ( $true
= ( msmaller @ X17 @ X18 ) )
| ( $true
!= ( bird @ X17 ) )
| ( ( fox @ X18 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f398,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( msmaller @ X2 @ X0 )
!= $true )
| ( ( fox @ X0 )
!= $true )
| ( $true
!= ( plant @ X1 ) )
| ( $true
!= ( bird @ X2 ) ) )
| ~ spl0_9
| ~ spl0_22 ),
inference(subsumption_resolution,[status(thm)],[f378,f14]) ).
thf(f14,plain,
! [X26: $i] :
( ( $true
= ( animal @ X26 ) )
| ( $true
!= ( fox @ X26 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f378,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( bird @ X2 ) )
| ( ( msmaller @ X2 @ X0 )
!= $true )
| ( $true
!= ( plant @ X1 ) )
| ( ( animal @ X0 )
!= $true )
| ( ( fox @ X0 )
!= $true ) )
| ~ spl0_9
| ~ spl0_22 ),
inference(trivial_inequality_removal,[status(thm)],[f377]) ).
thf(f377,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( bird @ X2 ) )
| ( $true
!= ( plant @ X1 ) )
| ( ( msmaller @ X2 @ X0 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( ( fox @ X0 )
!= $true ) )
| ~ spl0_9
| ~ spl0_22 ),
inference(duplicate_literal_removal,[status(thm)],[f373]) ).
thf(f373,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( fox @ X0 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( $true
!= ( bird @ X2 ) )
| ( $true
!= ( plant @ X1 ) )
| ( $true != $true )
| ( ( msmaller @ X2 @ X0 )
!= $true )
| ( $true
!= ( plant @ X1 ) ) )
| ~ spl0_9
| ~ spl0_22 ),
inference(superposition,[status(thm)],[f123,f297]) ).
thf(f297,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( eats @ X0 @ X2 ) )
| ( ( animal @ X0 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( bird @ X1 )
!= $true )
| ( $true
!= ( msmaller @ X1 @ X0 ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[status(thm)],[f296]) ).
thf(f123,plain,
( ! [X3: $i,X1: $i] :
( ( ( eats @ X1 @ X3 )
!= $true )
| ( $true
!= ( fox @ X1 ) )
| ( ( plant @ X3 )
!= $true ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f122]) ).
thf(f298,plain,
( spl0_22
| spl0_16
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[status(thm)],[f294,f135,f79,f179,f296]) ).
thf(f79,definition,
( spl0_5
<=> ! [X2: $i,X0: $i] :
( ( ( bird @ X0 )
!= $true )
| ( $true
!= ( animal @ X2 ) )
| ( ( eats @ X2 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f135,definition,
( spl0_11
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( eats @ X0 @ X2 ) )
| ( ( plant @ X2 )
!= $true )
| ( ( bird @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition]) ).
thf(f294,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( ( animal @ X0 )
!= $true )
| ( ( bird @ X1 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( plant @ X3 )
!= $true )
| ( ( plant @ X2 )
!= $true ) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[status(thm)],[f293,f16]) ).
thf(f16,plain,
! [X25: $i] :
( ( $true
= ( animal @ X25 ) )
| ( ( bird @ X25 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f293,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( plant @ X3 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( ( animal @ X0 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( bird @ X1 )
!= $true ) )
| ~ spl0_5
| ~ spl0_11 ),
inference(subsumption_resolution,[status(thm)],[f292,f136]) ).
thf(f136,plain,
( ! [X2: $i,X0: $i] :
( ( $true
= ( eats @ X0 @ X2 ) )
| ( ( plant @ X2 )
!= $true )
| ( ( bird @ X0 )
!= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[status(thm)],[f135]) ).
thf(f292,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( animal @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( bird @ X1 )
!= $true )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( ( plant @ X2 )
!= $true )
| ( ( plant @ X3 )
!= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f291]) ).
thf(f291,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( plant @ X3 )
!= $true )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( bird @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( $true
!= ( msmaller @ X1 @ X0 ) ) )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[status(thm)],[f286]) ).
thf(f286,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( bird @ X1 )
!= $true )
| ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( animal @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f80,f25]) ).
thf(f25,plain,
! [X16: $i,X14: $i,X15: $i,X13: $i] :
( ( $true
= ( eats @ X15 @ X14 ) )
| ( $true
= ( eats @ X15 @ X13 ) )
| ( $true
!= ( animal @ X14 ) )
| ( $true
!= ( msmaller @ X14 @ X15 ) )
| ( $true
!= ( plant @ X13 ) )
| ( ( animal @ X15 )
!= $true )
| ( ( plant @ X16 )
!= $true )
| ( $true
!= ( eats @ X14 @ X16 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f80,plain,
( ! [X2: $i,X0: $i] :
( ( ( eats @ X2 @ X0 )
!= $true )
| ( $true
!= ( animal @ X2 ) )
| ( ( bird @ X0 )
!= $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f79]) ).
thf(f279,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[status(thm)],[f278]) ).
thf(f278,plain,
( $false
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f277]) ).
thf(f277,plain,
( ( $true != $true )
| ~ spl0_10 ),
inference(superposition,[status(thm)],[f276,f11]) ).
thf(f11,plain,
( ( snail @ a_snail )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f276,plain,
( ! [X0: $i] :
( ( snail @ X0 )
!= $true )
| ~ spl0_10 ),
inference(subsumption_resolution,[status(thm)],[f273,f33]) ).
thf(f33,plain,
! [X0: $i] :
( ( $true
= ( plant @ ( sf @ X0 ) ) )
| ( ( snail @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f273,plain,
( ! [X0: $i] :
( ( $true
!= ( plant @ ( sf @ X0 ) ) )
| ( ( snail @ X0 )
!= $true ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f272]) ).
thf(f272,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( snail @ X0 )
!= $true )
| ( $true
!= ( plant @ ( sf @ X0 ) ) ) )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[status(thm)],[f268]) ).
thf(f268,plain,
( ! [X0: $i] :
( ( $true
!= ( plant @ ( sf @ X0 ) ) )
| ( ( snail @ X0 )
!= $true )
| ( ( snail @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_10 ),
inference(superposition,[status(thm)],[f133,f28]) ).
thf(f28,plain,
! [X9: $i] :
( ( $true
= ( eats @ X9 @ ( sf @ X9 ) ) )
| ( ( snail @ X9 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f133,plain,
( ! [X3: $i,X1: $i] :
( ( ( eats @ X1 @ X3 )
!= $true )
| ( $true
!= ( snail @ X1 ) )
| ( ( plant @ X3 )
!= $true ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[status(thm)],[f132]) ).
thf(f132,definition,
( spl0_10
<=> ! [X1: $i,X3: $i] :
( ( ( plant @ X3 )
!= $true )
| ( $true
!= ( snail @ X1 ) )
| ( ( eats @ X1 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition]) ).
thf(f265,plain,
( spl0_5
| spl0_13
| ~ spl0_11 ),
inference(avatar_split_clause,[status(thm)],[f264,f135,f155,f79]) ).
thf(f155,definition,
( spl0_13
<=> ! [X1: $i] :
( $true
!= ( grain @ X1 ) ) ),
introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition]) ).
thf(f264,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( bird @ X0 )
!= $true )
| ( $true
!= ( animal @ X2 ) )
| ( ( eats @ X2 @ X0 )
!= $true )
| ( $true
!= ( grain @ X1 ) ) )
| ~ spl0_11 ),
inference(subsumption_resolution,[status(thm)],[f263,f16]) ).
thf(f263,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( grain @ X1 ) )
| ( ( bird @ X0 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( ( eats @ X2 @ X0 )
!= $true )
| ( $true
!= ( animal @ X2 ) ) )
| ~ spl0_11 ),
inference(subsumption_resolution,[status(thm)],[f255,f31]) ).
thf(f31,plain,
! [X3: $i] :
( ( ( plant @ X3 )
= $true )
| ( $true
!= ( grain @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f255,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( animal @ X2 ) )
| ( $true
!= ( plant @ X1 ) )
| ( $true
!= ( grain @ X1 ) )
| ( ( animal @ X0 )
!= $true )
| ( ( bird @ X0 )
!= $true )
| ( ( eats @ X2 @ X0 )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f249]) ).
thf(f249,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( bird @ X0 )
!= $true )
| ( $true
!= ( animal @ X2 ) )
| ( ( animal @ X0 )
!= $true )
| ( $true
!= ( plant @ X1 ) )
| ( $true
!= ( grain @ X1 ) )
| ( ( eats @ X2 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(superposition,[status(thm)],[f29,f136]) ).
thf(f29,plain,
! [X8: $i,X6: $i,X7: $i] :
( ( $true
!= ( eats @ X7 @ X6 ) )
| ( ( eats @ X8 @ X7 )
!= $true )
| ( $true
!= ( animal @ X8 ) )
| ( ( animal @ X7 )
!= $true )
| ( $true
!= ( grain @ X6 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f207,plain,
( spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[status(thm)],[f206,f179,f155]) ).
thf(f206,plain,
( ! [X0: $i] :
( ( grain @ X0 )
!= $true )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[status(thm)],[f201]) ).
thf(f201,plain,
( ! [X0: $i] :
( ( ( grain @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(superposition,[status(thm)],[f180,f31]) ).
thf(f180,plain,
( ! [X2: $i] :
( ( plant @ X2 )
!= $true )
| ~ spl0_16 ),
inference(avatar_component_clause,[status(thm)],[f179]) ).
thf(f200,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[status(thm)],[f199]) ).
thf(f199,plain,
( $false
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f198]) ).
thf(f198,plain,
( ( $true != $true )
| ~ spl0_13 ),
inference(superposition,[status(thm)],[f156,f9]) ).
thf(f9,plain,
( ( grain @ a_grain )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f156,plain,
( ! [X1: $i] :
( $true
!= ( grain @ X1 ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[status(thm)],[f155]) ).
thf(f197,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[status(thm)],[f196]) ).
thf(f196,plain,
( $false
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f195]) ).
thf(f195,plain,
( ( $true != $true )
| ~ spl0_12 ),
inference(superposition,[status(thm)],[f153,f15]) ).
thf(f15,plain,
( ( wolf @ a_wolf )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f153,plain,
( ! [X0: $i] :
( ( wolf @ X0 )
!= $true )
| ~ spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f152]) ).
thf(f152,definition,
( spl0_12
<=> ! [X0: $i] :
( ( wolf @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition]) ).
thf(f157,plain,
( spl0_12
| spl0_13
| ~ spl0_8 ),
inference(avatar_split_clause,[status(thm)],[f150,f119,f155,f152]) ).
thf(f119,definition,
( spl0_8
<=> ! [X2: $i,X0: $i] :
( ( ( wolf @ X0 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition]) ).
thf(f150,plain,
( ! [X0: $i,X1: $i] :
( ( ( wolf @ X0 )
!= $true )
| ( $true
!= ( grain @ X1 ) ) )
| ~ spl0_8 ),
inference(subsumption_resolution,[status(thm)],[f149,f31]) ).
thf(f149,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( grain @ X1 ) )
| ( $true
!= ( plant @ X1 ) )
| ( ( wolf @ X0 )
!= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f148]) ).
thf(f148,plain,
( ! [X0: $i,X1: $i] :
( ( ( wolf @ X0 )
!= $true )
| ( $true
!= ( plant @ X1 ) )
| ( $true != $true )
| ( $true
!= ( grain @ X1 ) ) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[status(thm)],[f143]) ).
thf(f143,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( grain @ X1 ) )
| ( ( wolf @ X0 )
!= $true )
| ( $true != $true )
| ( ( wolf @ X0 )
!= $true )
| ( $true
!= ( plant @ X1 ) ) )
| ~ spl0_8 ),
inference(superposition,[status(thm)],[f32,f120]) ).
thf(f120,plain,
( ! [X2: $i,X0: $i] :
( ( $true
= ( eats @ X0 @ X2 ) )
| ( ( plant @ X2 )
!= $true )
| ( ( wolf @ X0 )
!= $true ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[status(thm)],[f119]) ).
thf(f32,plain,
! [X2: $i,X1: $i] :
( ( ( eats @ X1 @ X2 )
!= $true )
| ( $true
!= ( wolf @ X1 ) )
| ( $true
!= ( grain @ X2 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f137,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[status(thm)],[f130,f135,f132]) ).
thf(f130,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( eats @ X0 @ X2 ) )
| ( ( plant @ X3 )
!= $true )
| ( $true
!= ( snail @ X1 ) )
| ( ( bird @ X0 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( eats @ X1 @ X3 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f129,f30]) ).
thf(f30,plain,
! [X4: $i,X5: $i] :
( ( $true
= ( msmaller @ X4 @ X5 ) )
| ( ( bird @ X5 )
!= $true )
| ( $true
!= ( snail @ X4 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f129,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( bird @ X0 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( $true
!= ( snail @ X1 ) )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( ( plant @ X3 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f128,f22]) ).
thf(f22,plain,
! [X21: $i] :
( ( ( animal @ X21 )
= $true )
| ( ( snail @ X21 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f128,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eats @ X1 @ X3 )
!= $true )
| ( $true
!= ( snail @ X1 ) )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( animal @ X1 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( bird @ X0 )
!= $true )
| ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( ( plant @ X2 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f111,f16]) ).
thf(f111,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( bird @ X0 )
!= $true )
| ( $true
!= ( snail @ X1 ) )
| ( ( animal @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( plant @ X3 )
!= $true )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( ( plant @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f101]) ).
thf(f101,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( ( bird @ X0 )
!= $true )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( animal @ X1 )
!= $true )
| ( ( animal @ X0 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( $true
!= ( snail @ X1 ) ) ),
inference(superposition,[status(thm)],[f26,f25]) ).
thf(f26,plain,
! [X11: $i,X12: $i] :
( ( $true
!= ( eats @ X12 @ X11 ) )
| ( $true
!= ( snail @ X11 ) )
| ( $true
!= ( bird @ X12 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f127,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[status(thm)],[f126]) ).
thf(f126,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f125]) ).
thf(f125,plain,
( ( $true != $true )
| ~ spl0_4 ),
inference(superposition,[status(thm)],[f61,f20]) ).
thf(f20,plain,
( ( bird @ a_bird )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f61,plain,
( ! [X0: $i] :
( ( bird @ X0 )
!= $true )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f60]) ).
thf(f124,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[status(thm)],[f117,f122,f119]) ).
thf(f117,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eats @ X1 @ X3 )
!= $true )
| ( $true
!= ( fox @ X1 ) )
| ( ( plant @ X3 )
!= $true )
| ( ( wolf @ X0 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( plant @ X2 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f116,f23]) ).
thf(f23,plain,
! [X19: $i,X20: $i] :
( ( ( msmaller @ X19 @ X20 )
= $true )
| ( $true
!= ( fox @ X19 ) )
| ( $true
!= ( wolf @ X20 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f116,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eats @ X1 @ X3 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( $true
!= ( fox @ X1 ) )
| ( ( plant @ X2 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( ( wolf @ X0 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f115,f19]) ).
thf(f19,plain,
! [X22: $i] :
( ( $true
= ( animal @ X22 ) )
| ( $true
!= ( wolf @ X22 ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f115,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( animal @ X0 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( wolf @ X0 )
!= $true )
| ( $true
!= ( fox @ X1 ) ) ),
inference(subsumption_resolution,[status(thm)],[f112,f14]) ).
thf(f112,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( fox @ X1 ) )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( ( wolf @ X0 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( animal @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f100]) ).
thf(f100,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( msmaller @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
= ( eats @ X0 @ X2 ) )
| ( ( animal @ X0 )
!= $true )
| ( ( eats @ X1 @ X3 )
!= $true )
| ( ( plant @ X3 )
!= $true )
| ( $true
!= ( fox @ X1 ) )
| ( ( wolf @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( plant @ X2 )
!= $true ) ),
inference(superposition,[status(thm)],[f13,f25]) ).
thf(f13,plain,
! [X28: $i,X27: $i] :
( ( ( eats @ X28 @ X27 )
!= $true )
| ( ( fox @ X27 )
!= $true )
| ( ( wolf @ X28 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ031^5 : 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
% 0.16/0.35 % Computer : n001.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue Feb 24 11:31:35 EST 2026
% 0.16/0.35 % CPUTime :
% 0.16/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.46 ---- Original DTF file ---
% 0.20/0.46 thf(spec,logic,$$dhol).
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 % File : PUZ031^5 : TPTP v9.2.1. Released v4.0.0.
% 0.20/0.46 % Domain : Puzzles
% 0.20/0.46 % Problem : TPS problem from BASIC-FO-THMS
% 0.20/0.46 % Version : Especial.
% 0.20/0.46 % English :
% 0.20/0.46
% 0.20/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.46 % Source : [Bro09]
% 0.20/0.46 % Names : tps_1229 [Bro09]
% 0.20/0.46
% 0.20/0.46 % Status : Theorem
% 0.20/0.46 % Rating : 0.25 v8.2.0, 0.27 v8.1.0, 0.25 v7.5.0, 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, 0.40 v5.4.0, 0.25 v5.2.0, 0.50 v5.1.0, 0.75 v5.0.0, 0.50 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.20/0.46 % Syntax : Number of formulae : 19 ( 0 unt; 18 typ; 0 def)
% 0.20/0.46 % Number of atoms : 63 ( 0 equ; 0 cnn)
% 0.20/0.46 % Maximal formula atoms : 63 ( 63 avg)
% 0.20/0.46 % Number of connectives : 186 ( 41 ~; 37 |; 25 &; 83 @)
% 0.20/0.46 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.46 % Maximal formula depth : 37 ( 37 avg)
% 0.20/0.46 % Number of types : 2 ( 0 usr)
% 0.20/0.46 % Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% 0.20/0.46 % Number of symbols : 18 ( 18 usr; 6 con; 0-2 aty)
% 0.20/0.46 % Number of variables : 33 ( 0 ^; 33 !; 0 ?; 33 :)
% 0.20/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.46
% 0.20/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 thf(eats,type,
% 0.20/0.46 eats: $i > $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(grain,type,
% 0.20/0.46 grain: $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(animal,type,
% 0.20/0.46 animal: $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(snail,type,
% 0.20/0.46 snail: $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(sf,type,
% 0.20/0.46 sf: $i > $i ).
% 0.20/0.46
% 0.20/0.46 thf(plant,type,
% 0.20/0.46 plant: $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(caterpillar,type,
% 0.20/0.46 caterpillar: $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(cf,type,
% 0.20/0.46 cf: $i > $i ).
% 0.20/0.46
% 0.20/0.46 thf(bird,type,
% 0.20/0.46 bird: $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(wolf,type,
% 0.20/0.46 wolf: $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(fox,type,
% 0.20/0.46 fox: $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(msmaller,type,
% 0.20/0.46 msmaller: $i > $i > $o ).
% 0.20/0.46
% 0.20/0.46 thf(a_grain,type,
% 0.20/0.46 a_grain: $i ).
% 0.20/0.46
% 0.20/0.46 thf(a_snail,type,
% 0.20/0.46 a_snail: $i ).
% 0.20/0.46
% 0.20/0.46 thf(a_caterpillar,type,
% 0.20/0.46 a_caterpillar: $i ).
% 0.20/0.46
% 0.20/0.46 thf(a_bird,type,
% 0.20/0.46 a_bird: $i ).
% 0.20/0.46
% 0.20/0.46 thf(a_fox,type,
% 0.20/0.46 a_fox: $i ).
% 0.20/0.46
% 0.20/0.46 thf(a_wolf,type,
% 0.20/0.46 a_wolf: $i ).
% 0.20/0.46
% 0.20/0.46 thf(cPUZ031_1,conjecture,
% 0.20/0.46 ~ ( ! [X: $i] :
% 0.20/0.46 ( ( animal @ X )
% 0.20/0.46 | ~ ( wolf @ X ) )
% 0.20/0.46 & ! [X: $i] :
% 0.20/0.46 ( ( animal @ X )
% 0.20/0.46 | ~ ( fox @ X ) )
% 0.20/0.46 & ! [X: $i] :
% 0.20/0.46 ( ( animal @ X )
% 0.20/0.46 | ~ ( bird @ X ) )
% 0.20/0.46 & ! [X: $i] :
% 0.20/0.46 ( ( animal @ X )
% 0.20/0.46 | ~ ( caterpillar @ X ) )
% 0.20/0.46 & ! [X: $i] :
% 0.20/0.46 ( ( animal @ X )
% 0.20/0.46 | ~ ( snail @ X ) )
% 0.20/0.46 & ( wolf @ a_wolf )
% 0.20/0.46 & ( fox @ a_fox )
% 0.20/0.46 & ( bird @ a_bird )
% 0.20/0.46 & ( caterpillar @ a_caterpillar )
% 0.20/0.46 & ( snail @ a_snail )
% 0.20/0.46 & ( grain @ a_grain )
% 0.20/0.46 & ! [X: $i] :
% 0.20/0.46 ( ( plant @ X )
% 0.20/0.46 | ~ ( grain @ X ) )
% 0.20/0.46 & ! [A: $i,P: $i,S: $i,O: $i] :
% 0.20/0.46 ( ( eats @ A @ P )
% 0.20/0.46 | ( eats @ A @ S )
% 0.20/0.46 | ~ ( animal @ A )
% 0.20/0.46 | ~ ( plant @ P )
% 0.20/0.46 | ~ ( animal @ S )
% 0.20/0.46 | ~ ( plant @ O )
% 0.20/0.46 | ~ ( msmaller @ S @ A )
% 0.20/0.46 | ~ ( eats @ S @ O ) )
% 0.20/0.46 & ! [C: $i,B: $i] :
% 0.20/0.46 ( ( msmaller @ C @ B )
% 0.20/0.46 | ~ ( caterpillar @ C )
% 0.20/0.46 | ~ ( bird @ B ) )
% 0.20/0.46 & ! [S: $i,B: $i] :
% 0.20/0.46 ( ( msmaller @ S @ B )
% 0.20/0.46 | ~ ( snail @ S )
% 0.20/0.46 | ~ ( bird @ B ) )
% 0.20/0.46 & ! [B: $i,F: $i] :
% 0.20/0.46 ( ( msmaller @ B @ F )
% 0.20/0.46 | ~ ( bird @ B )
% 0.20/0.46 | ~ ( fox @ F ) )
% 0.20/0.46 & ! [F: $i,W: $i] :
% 0.20/0.46 ( ( msmaller @ F @ W )
% 0.20/0.46 | ~ ( fox @ F )
% 0.20/0.46 | ~ ( wolf @ W ) )
% 0.20/0.46 & ! [F: $i,W: $i] :
% 0.20/0.46 ( ~ ( wolf @ W )
% 0.20/0.46 | ~ ( fox @ F )
% 0.20/0.46 | ~ ( eats @ W @ F ) )
% 0.20/0.46 & ! [W: $i,G: $i] :
% 0.20/0.46 ( ~ ( wolf @ W )
% 0.20/0.46 | ~ ( grain @ G )
% 0.20/0.46 | ~ ( eats @ W @ G ) )
% 0.20/0.46 & ! [B: $i,C: $i] :
% 0.20/0.46 ( ( eats @ B @ C )
% 0.20/0.46 | ~ ( bird @ B )
% 0.20/0.46 | ~ ( caterpillar @ C ) )
% 0.20/0.46 & ! [B: $i,S: $i] :
% 0.20/0.46 ( ~ ( bird @ B )
% 0.20/0.46 | ~ ( snail @ S )
% 0.20/0.46 | ~ ( eats @ B @ S ) )
% 0.20/0.46 & ! [C: $i] :
% 0.20/0.46 ( ( plant @ ( cf @ C ) )
% 0.20/0.46 | ~ ( caterpillar @ C ) )
% 0.20/0.46 & ! [C: $i] :
% 0.20/0.46 ( ( eats @ C @ ( cf @ C ) )
% 0.20/0.46 | ~ ( caterpillar @ C ) )
% 0.20/0.46 & ! [S: $i] :
% 0.20/0.46 ( ( plant @ ( sf @ S ) )
% 0.20/0.46 | ~ ( snail @ S ) )
% 0.20/0.46 & ! [S: $i] :
% 0.20/0.46 ( ( eats @ S @ ( sf @ S ) )
% 0.20/0.46 | ~ ( snail @ S ) )
% 0.20/0.46 & ! [A: $i,E: $i,G: $i] :
% 0.20/0.46 ( ~ ( animal @ A )
% 0.20/0.46 | ~ ( animal @ E )
% 0.20/0.46 | ~ ( grain @ G )
% 0.20/0.46 | ~ ( eats @ A @ E )
% 0.20/0.46 | ~ ( eats @ E @ G ) ) ) ).
% 0.20/0.46
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 ------------------------
% 1.78/1.44 ---- Embedded in THF ---
% 1.78/1.44 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.78/1.44 %%% Generated on Tue Feb 24 11:31:36 EST 2026
% 1.78/1.44 %%% using '$$dhol' embedding, version 1.3.0.
% 1.78/1.44 %%% Logic specification used:
% 1.78/1.44 %%% thf(spec, logic, $$dhol).
% 1.78/1.44
% 1.78/1.44 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.T907uGUouf/DTF2DTF15490.p
% See solution above
% 1.78/1.44 ------------------------
% 1.78/1.45 ---- Cleaned THF ---
% 1.78/1.45 thf(eats,type,
% 1.78/1.45 eats: $i > $i > $o ).
% 1.78/1.45
% 1.78/1.45 thf(grain,type,
% 1.78/1.45 grain: $i > $o ).
% 1.78/1.45
% 1.78/1.45 thf(animal,type,
% 1.78/1.45 animal: $i > $o ).
% 1.78/1.45
% 1.78/1.45 thf(snail,type,
% 1.78/1.45 snail: $i > $o ).
% 1.78/1.45
% 1.78/1.45 thf(sf,type,
% 1.78/1.45 sf: $i > $i ).
% 1.78/1.45
% 1.78/1.45 thf(plant,type,
% 1.78/1.45 plant: $i > $o ).
% 1.78/1.45
% 1.78/1.45 thf(caterpillar,type,
% 1.78/1.45 caterpillar: $i > $o ).
% 1.78/1.45
% 1.78/1.45 thf(cf,type,
% 1.78/1.45 cf: $i > $i ).
% 1.78/1.45
% 1.78/1.45 thf(bird,type,
% 1.78/1.45 bird: $i > $o ).
% 1.78/1.45
% 1.78/1.45 thf(wolf,type,
% 1.78/1.45 wolf: $i > $o ).
% 1.78/1.45
% 1.78/1.45 thf(fox,type,
% 1.78/1.45 fox: $i > $o ).
% 1.78/1.45
% 1.78/1.45 thf(msmaller,type,
% 1.78/1.45 msmaller: $i > $i > $o ).
% 1.78/1.45
% 1.78/1.45 thf(a_grain,type,
% 1.78/1.45 a_grain: $i ).
% 1.78/1.45
% 1.78/1.45 thf(a_snail,type,
% 1.78/1.45 a_snail: $i ).
% 1.78/1.45
% 1.78/1.45 thf(a_caterpillar,type,
% 1.78/1.45 a_caterpillar: $i ).
% 1.78/1.45
% 1.78/1.45 thf(a_bird,type,
% 1.78/1.45 a_bird: $i ).
% 1.78/1.45
% 1.78/1.45 thf(a_fox,type,
% 1.78/1.45 a_fox: $i ).
% 1.78/1.45
% 1.78/1.45 thf(a_wolf,type,
% 1.78/1.45 a_wolf: $i ).
% 1.78/1.45
% 1.78/1.45 thf(cPUZ031_1,conjecture,
% 1.78/1.45 ~ ( ! [X: $i] :
% 1.78/1.45 ( ( animal @ X )
% 1.78/1.45 | ~ ( wolf @ X ) )
% 1.78/1.45 & ! [X: $i] :
% 1.78/1.45 ( ( animal @ X )
% 1.78/1.45 | ~ ( fox @ X ) )
% 1.78/1.45 & ! [X: $i] :
% 1.78/1.45 ( ( animal @ X )
% 1.78/1.45 | ~ ( bird @ X ) )
% 1.78/1.45 & ! [X: $i] :
% 1.78/1.45 ( ( animal @ X )
% 1.78/1.45 | ~ ( caterpillar @ X ) )
% 1.78/1.45 & ! [X: $i] :
% 1.78/1.45 ( ( animal @ X )
% 1.78/1.45 | ~ ( snail @ X ) )
% 1.78/1.45 & ( wolf @ a_wolf )
% 1.78/1.45 & ( fox @ a_fox )
% 1.78/1.45 & ( bird @ a_bird )
% 1.78/1.45 & ( caterpillar @ a_caterpillar )
% 1.78/1.45 & ( snail @ a_snail )
% 1.78/1.45 & ( grain @ a_grain )
% 1.78/1.45 & ! [X: $i] :
% 1.78/1.45 ( ( plant @ X )
% 1.78/1.45 | ~ ( grain @ X ) )
% 1.78/1.45 & ! [A: $i,P: $i,S: $i,O: $i] :
% 1.78/1.45 ( ( eats @ A @ P )
% 1.78/1.45 | ( eats @ A @ S )
% 1.78/1.45 | ~ ( animal @ A )
% 1.78/1.45 | ~ ( plant @ P )
% 1.78/1.45 | ~ ( animal @ S )
% 1.78/1.45 | ~ ( plant @ O )
% 1.78/1.45 | ~ ( msmaller @ S @ A )
% 1.78/1.45 | ~ ( eats @ S @ O ) )
% 1.78/1.45 & ! [C: $i,B: $i] :
% 1.78/1.45 ( ( msmaller @ C @ B )
% 1.78/1.45 | ~ ( caterpillar @ C )
% 1.78/1.45 | ~ ( bird @ B ) )
% 1.78/1.45 & ! [S: $i,B: $i] :
% 1.78/1.45 ( ( msmaller @ S @ B )
% 1.78/1.45 | ~ ( snail @ S )
% 1.78/1.45 | ~ ( bird @ B ) )
% 1.78/1.45 & ! [B: $i,F: $i] :
% 1.78/1.45 ( ( msmaller @ B @ F )
% 1.78/1.45 | ~ ( bird @ B )
% 1.78/1.45 | ~ ( fox @ F ) )
% 1.78/1.45 & ! [F: $i,W: $i] :
% 1.78/1.45 ( ( msmaller @ F @ W )
% 1.78/1.45 | ~ ( fox @ F )
% 1.78/1.45 | ~ ( wolf @ W ) )
% 1.78/1.45 & ! [F: $i,W: $i] :
% 1.78/1.45 ( ~ ( wolf @ W )
% 1.78/1.45 | ~ ( fox @ F )
% 1.78/1.45 | ~ ( eats @ W @ F ) )
% 1.78/1.45 & ! [W: $i,G: $i] :
% 1.78/1.45 ( ~ ( wolf @ W )
% 1.78/1.45 | ~ ( grain @ G )
% 1.78/1.45 | ~ ( eats @ W @ G ) )
% 1.78/1.45 & ! [B: $i,C: $i] :
% 1.78/1.45 ( ( eats @ B @ C )
% 1.78/1.45 | ~ ( bird @ B )
% 1.78/1.45 | ~ ( caterpillar @ C ) )
% 1.78/1.45 & ! [B: $i,S: $i] :
% 1.78/1.45 ( ~ ( bird @ B )
% 1.78/1.45 | ~ ( snail @ S )
% 1.78/1.45 | ~ ( eats @ B @ S ) )
% 1.78/1.45 & ! [C: $i] :
% 1.78/1.45 ( ( plant @ ( cf @ C ) )
% 1.78/1.45 | ~ ( caterpillar @ C ) )
% 1.78/1.45 & ! [C: $i] :
% 1.78/1.45 ( ( eats @ C @ ( cf @ C ) )
% 1.78/1.45 | ~ ( caterpillar @ C ) )
% 1.78/1.45 & ! [S: $i] :
% 1.78/1.45 ( ( plant @ ( sf @ S ) )
% 1.78/1.45 | ~ ( snail @ S ) )
% 1.78/1.45 & ! [S: $i] :
% 1.78/1.45 ( ( eats @ S @ ( sf @ S ) )
% 1.78/1.45 | ~ ( snail @ S ) )
% 1.78/1.45 & ! [A: $i,E: $i,G: $i] :
% 1.78/1.45 ( ~ ( animal @ A )
% 1.78/1.45 | ~ ( animal @ E )
% 1.78/1.45 | ~ ( grain @ G )
% 1.78/1.45 | ~ ( eats @ A @ E )
% 1.78/1.45 | ~ ( eats @ E @ G ) ) ) ).
% 1.78/1.45 ------------------------
% 1.78/1.47 % (15595)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_15490 for (2999ds/18Mi)
% 1.78/1.47 % (15589)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_15490 for (2999ds/183Mi)
% 1.78/1.47 % (15592)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_15490 for (2999ds/2Mi)
% 1.78/1.47 % (15591)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_15490 for (2999ds/27Mi)
% 1.78/1.47 % (15590)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_15490 for (2999ds/4Mi)
% 1.78/1.47 % (15594)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_15490 for (2999ds/275Mi)
% 1.78/1.47 % (15593)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_15490 for (2999ds/2Mi)
% 1.78/1.47 % (15592)Instruction limit reached!
% 1.78/1.47 % (15592)------------------------------
% 1.78/1.47 % (15592)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.47 % (15592)Termination reason: Unknown
% 1.78/1.47 % (15592)Termination phase: Property scanning
% 1.78/1.47 % (15593)Instruction limit reached!
% 1.78/1.47 % (15593)------------------------------
% 1.78/1.47 % (15593)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.47 % (15593)Termination reason: Unknown
% 1.78/1.47 % (15593)Termination phase: shuffling
% 1.78/1.47
% 1.78/1.47 % (15593)Memory used [KB]: 1023
% 1.78/1.47 % (15593)Time elapsed: 0.003 s
% 1.78/1.47 % (15593)Instructions burned: 3 (million)
% 1.78/1.47 % (15593)------------------------------
% 1.78/1.47 % (15593)------------------------------
% 1.78/1.47
% 1.78/1.47 % (15592)Memory used [KB]: 1023
% 1.78/1.47 % (15592)Time elapsed: 0.003 s
% 1.78/1.47 % (15592)Instructions burned: 2 (million)
% 1.78/1.47 % (15592)------------------------------
% 1.78/1.47 % (15592)------------------------------
% 1.78/1.48 % (15590)Instruction limit reached!
% 1.78/1.48 % (15590)------------------------------
% 1.78/1.48 % (15590)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.48 % (15590)Termination reason: Unknown
% 1.78/1.48 % (15590)Termination phase: Property scanning
% 1.78/1.48
% 1.78/1.48 % (15590)Memory used [KB]: 1023
% 1.78/1.48 % (15590)Time elapsed: 0.004 s
% 1.78/1.48 % (15590)Instructions burned: 4 (million)
% 1.78/1.48 % (15590)------------------------------
% 1.78/1.48 % (15590)------------------------------
% 1.78/1.48 % (15595)Instruction limit reached!
% 1.78/1.48 % (15595)------------------------------
% 1.78/1.48 % (15595)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.48 % (15595)Termination reason: Unknown
% 1.78/1.48 % (15595)Termination phase: Saturation
% 1.78/1.48
% 1.78/1.48 % (15595)Memory used [KB]: 5628
% 1.78/1.48 % (15595)Time elapsed: 0.012 s
% 1.78/1.48 % (15595)Instructions burned: 18 (million)
% 1.78/1.48 % (15595)------------------------------
% 1.78/1.48 % (15595)------------------------------
% 1.78/1.49 % (15591)Instruction limit reached!
% 1.78/1.49 % (15591)------------------------------
% 1.78/1.49 % (15591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.49 % (15591)Termination reason: Unknown
% 1.78/1.49 % (15591)Termination phase: Saturation
% 1.78/1.49
% 1.78/1.49 % (15591)Memory used [KB]: 5756
% 1.78/1.49 % (15591)Time elapsed: 0.018 s
% 1.78/1.49 % (15591)Instructions burned: 27 (million)
% 1.78/1.49 % (15591)------------------------------
% 1.78/1.49 % (15591)------------------------------
% 1.78/1.49 % (15597)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_15490 for (2999ds/37Mi)
% 1.78/1.49 % (15596)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_15490 for (2999ds/3Mi)
% 1.78/1.49 % (15598)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_15490 for (2999ds/15Mi)
% 1.78/1.49 % (15596)Instruction limit reached!
% 1.78/1.49 % (15596)------------------------------
% 1.78/1.49 % (15596)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.78/1.49 % (15596)Termination reason: Unknown
% 1.78/1.49 % (15596)Termination phase: Preprocessing 1
% 1.78/1.49
% 1.78/1.49 % (15596)Memory used [KB]: 1023
% 1.78/1.49 % (15596)Time elapsed: 0.003 s
% 1.78/1.49 % (15596)Instructions burned: 3 (million)
% 1.78/1.49 % (15596)------------------------------
% 1.78/1.49 % (15596)------------------------------
% 1.87/1.50 % (15598)Instruction limit reached!
% 1.87/1.50 % (15598)------------------------------
% 1.87/1.50 % (15598)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.50 % (15598)Termination reason: Unknown
% 1.87/1.50 % (15598)Termination phase: Saturation
% 1.87/1.50
% 1.87/1.50 % (15598)Memory used [KB]: 5756
% 1.87/1.50 % (15598)Time elapsed: 0.010 s
% 1.87/1.50 % (15598)Instructions burned: 15 (million)
% 1.87/1.50 % (15598)------------------------------
% 1.87/1.50 % (15598)------------------------------
% 1.87/1.50 % (15599)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_15490 for (2999ds/3Mi)
% 1.87/1.50 % (15599)Instruction limit reached!
% 1.87/1.50 % (15599)------------------------------
% 1.87/1.50 % (15599)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.50 % (15599)Termination reason: Unknown
% 1.87/1.50 % (15599)Termination phase: shuffling
% 1.87/1.50
% 1.87/1.50 % (15599)Memory used [KB]: 1023
% 1.87/1.50 % (15599)Time elapsed: 0.003 s
% 1.87/1.50 % (15599)Instructions burned: 3 (million)
% 1.87/1.50 % (15599)------------------------------
% 1.87/1.50 % (15599)------------------------------
% 1.87/1.51 % (15600)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_15490 for (2999ds/1041Mi)
% 1.87/1.51 % (15597)Instruction limit reached!
% 1.87/1.51 % (15597)------------------------------
% 1.87/1.51 % (15597)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.51 % (15597)Termination reason: Unknown
% 1.87/1.51 % (15597)Termination phase: Saturation
% 1.87/1.51
% 1.87/1.51 % (15597)Memory used [KB]: 5628
% 1.87/1.51 % (15597)Time elapsed: 0.019 s
% 1.87/1.51 % (15597)Instructions burned: 38 (million)
% 1.87/1.51 % (15597)------------------------------
% 1.87/1.51 % (15597)------------------------------
% 1.87/1.51 % (15601)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_15490 for (2999ds/7Mi)
% 1.87/1.51 % (15601)Instruction limit reached!
% 1.87/1.51 % (15601)------------------------------
% 1.87/1.51 % (15601)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.51 % (15601)Termination reason: Unknown
% 1.87/1.51 % (15601)Termination phase: Saturation
% 1.87/1.51
% 1.87/1.51 % (15601)Memory used [KB]: 1151
% 1.87/1.51 % (15601)Time elapsed: 0.006 s
% 1.87/1.51 % (15601)Instructions burned: 8 (million)
% 1.87/1.51 % (15601)------------------------------
% 1.87/1.51 % (15601)------------------------------
% 1.87/1.52 % (15602)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_15490 for (2999ds/16Mi)
% 1.87/1.52 % (15603)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_15490 for (2999ds/3Mi)
% 1.87/1.52 % (15589)First to succeed.
% 1.87/1.52 % (15603)Instruction limit reached!
% 1.87/1.52 % (15603)------------------------------
% 1.87/1.52 % (15603)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.52 % (15603)Termination reason: Unknown
% 1.87/1.52 % (15603)Termination phase: Preprocessing 3
% 1.87/1.52
% 1.87/1.52 % (15603)Memory used [KB]: 1023
% 1.87/1.52 % (15603)Time elapsed: 0.003 s
% 1.87/1.52 % (15603)Instructions burned: 4 (million)
% 1.87/1.52 % (15603)------------------------------
% 1.87/1.52 % (15603)------------------------------
% 1.87/1.52 % (15589)Refutation found. Thanks to Tanya!
% 1.87/1.52 % SZS status Theorem for DTF2THF_15490
% 1.87/1.52 % SZS output start Proof for DTF2THF_15490
% 1.87/1.52 thf(func_def_0, type, eats: $i > $i > $o).
% 1.87/1.52 thf(func_def_1, type, grain: $i > $o).
% 1.87/1.52 thf(func_def_2, type, animal: $i > $o).
% 1.87/1.52 thf(func_def_3, type, snail: $i > $o).
% 1.87/1.52 thf(func_def_4, type, sf: $i > $i).
% 1.87/1.52 thf(func_def_5, type, plant: $i > $o).
% 1.87/1.52 thf(func_def_6, type, caterpillar: $i > $o).
% 1.87/1.52 thf(func_def_7, type, cf: $i > $i).
% 1.87/1.52 thf(func_def_8, type, bird: $i > $o).
% 1.87/1.52 thf(func_def_9, type, wolf: $i > $o).
% 1.87/1.52 thf(func_def_10, type, fox: $i > $o).
% 1.87/1.52 thf(func_def_11, type, msmaller: $i > $i > $o).
% 1.87/1.52 thf(f407,plain,(
% 1.87/1.52 $false),
% 1.87/1.52 inference(avatar_sat_refutation,[status(thm)],[f124,f127,f137,f157,f197,f200,f207,f265,f279,f298,f403,f406])).
% 1.87/1.52 thf(f406,plain,(
% 1.87/1.52 ~spl0_27),
% 1.87/1.52 inference(avatar_contradiction_clause,[status(thm)],[f405])).
% 1.87/1.52 thf(f405,plain,(
% 1.87/1.52 $false | ~spl0_27),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f404])).
% 1.87/1.52 thf(f404,plain,(
% 1.87/1.52 ($true != $true) | ~spl0_27),
% 1.87/1.52 inference(superposition,[status(thm)],[f402,f21])).
% 1.87/1.52 thf(f21,plain,(
% 1.87/1.52 ((fox @ a_fox) = $true)),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f7,plain,(
% 1.87/1.52 ! [X0 : $i] : (($true = (plant @ (sf @ X0))) | ((snail @ X0) != $true)) & ! [X1 : $i,X2 : $i] : (($true != (wolf @ X1)) | ($true != (grain @ X2)) | ((eats @ X1 @ X2) != $true)) & ! [X3 : $i] : (($true != (grain @ X3)) | ((plant @ X3) = $true)) & ! [X4 : $i,X5 : $i] : (($true = (msmaller @ X4 @ X5)) | ($true != (snail @ X4)) | ((bird @ X5) != $true)) & ! [X6 : $i,X7 : $i,X8 : $i] : (((animal @ X7) != $true) | ($true != (eats @ X7 @ X6)) | ($true != (grain @ X6)) | ((eats @ X8 @ X7) != $true) | ($true != (animal @ X8))) & ! [X9 : $i] : (((snail @ X9) != $true) | ($true = (eats @ X9 @ (sf @ X9)))) & ! [X10 : $i] : (($true != (caterpillar @ X10)) | ($true = (plant @ (cf @ X10)))) & ! [X11 : $i,X12 : $i] : (($true != (snail @ X11)) | ($true != (eats @ X12 @ X11)) | ($true != (bird @ X12))) & ! [X13 : $i,X14 : $i,X15 : $i,X16 : $i] : (($true != (animal @ X14)) | ($true != (eats @ X14 @ X16)) | ($true != (plant @ X13)) | ($true = (eats @ X15 @ X14)) | ($true != (msmaller @ X14 @ X15)) | ($true = (eats @ X15 @ X13)) | ((plant @ X16) != $true) | ((animal @ X15) != $true)) & ! [X17 : $i,X18 : $i] : (($true != (bird @ X17)) | ((fox @ X18) != $true) | ($true = (msmaller @ X17 @ X18))) & ! [X19 : $i,X20 : $i] : (((msmaller @ X19 @ X20) = $true) | ($true != (wolf @ X20)) | ($true != (fox @ X19))) & ! [X21 : $i] : (((snail @ X21) != $true) | ((animal @ X21) = $true)) & ((fox @ a_fox) = $true) & ((bird @ a_bird) = $true) & ! [X22 : $i] : (($true = (animal @ X22)) | ($true != (wolf @ X22))) & ! [X23 : $i] : (((caterpillar @ X23) != $true) | ($true = (eats @ X23 @ (cf @ X23)))) & ! [X24 : $i] : (($true != (caterpillar @ X24)) | ($true = (animal @ X24))) & ! [X25 : $i] : (($true = (animal @ X25)) | ((bird @ X25) != $true)) & ((wolf @ a_wolf) = $true) & ! [X26 : $i] : (($true = (animal @ X26)) | ($true != (fox @ X26))) & ! [X27 : $i,X28 : $i] : (((wolf @ X28) != $true) | ((eats @ X28 @ X27) != $true) | ((fox @ X27) != $true)) & ! [X29 : $i,X30 : $i] : (($true != (bird @ X30)) | ($true = (eats @ X30 @ X29)) | ((caterpillar @ X29) != $true)) & ((snail @ a_snail) = $true) & ((caterpillar @ a_caterpillar) = $true) & ((grain @ a_grain) = $true) & ! [X31 : $i,X32 : $i] : (($true != (bird @ X32)) | ((caterpillar @ X31) != $true) | ($true = (msmaller @ X31 @ X32)))),
% 1.87/1.52 inference(rectify,[status(thm)],[f6])).
% 1.87/1.52 thf(f6,plain,(
% 1.87/1.52 ! [X14 : $i] : (((plant @ (sf @ X14)) = $true) | ((snail @ X14) != $true)) & ! [X27 : $i,X26 : $i] : (($true != (wolf @ X27)) | ((grain @ X26) != $true) | ($true != (eats @ X27 @ X26))) & ! [X15 : $i] : (((grain @ X15) != $true) | ($true = (plant @ X15))) & ! [X24 : $i,X25 : $i] : (($true = (msmaller @ X24 @ X25)) | ($true != (snail @ X24)) | ((bird @ X25) != $true)) & ! [X9 : $i,X8 : $i,X7 : $i] : (($true != (animal @ X8)) | ((eats @ X8 @ X9) != $true) | ((grain @ X9) != $true) | ($true != (eats @ X7 @ X8)) | ((animal @ X7) != $true)) & ! [X28 : $i] : (($true != (snail @ X28)) | ($true = (eats @ X28 @ (sf @ X28)))) & ! [X6 : $i] : (($true != (caterpillar @ X6)) | ($true = (plant @ (cf @ X6)))) & ! [X4 : $i,X5 : $i] : (($true != (snail @ X4)) | ($true != (eats @ X5 @ X4)) | ((bird @ X5) != $true)) & ! [X19 : $i,X20 : $i,X18 : $i,X17 : $i] : (((animal @ X20) != $true) | ($true != (eats @ X20 @ X17)) | ($true != (plant @ X19)) | ($true = (eats @ X18 @ X20)) | ($true != (msmaller @ X20 @ X18)) | ($true = (eats @ X18 @ X19)) | ((plant @ X17) != $true) | ($true != (animal @ X18))) & ! [X23 : $i,X22 : $i] : (((bird @ X23) != $true) | ($true != (fox @ X22)) | ((msmaller @ X23 @ X22) = $true)) & ! [X30 : $i,X29 : $i] : (((msmaller @ X30 @ X29) = $true) | ((wolf @ X29) != $true) | ($true != (fox @ X30))) & ! [X3 : $i] : (((snail @ X3) != $true) | ((animal @ X3) = $true)) & ((fox @ a_fox) = $true) & ((bird @ a_bird) = $true) & ! [X31 : $i] : (($true = (animal @ X31)) | ($true != (wolf @ X31))) & ! [X32 : $i] : (($true != (caterpillar @ X32)) | ($true = (eats @ X32 @ (cf @ X32)))) & ! [X16 : $i] : (((caterpillar @ X16) != $true) | ($true = (animal @ X16))) & ! [X2 : $i] : (($true = (animal @ X2)) | ($true != (bird @ X2))) & ((wolf @ a_wolf) = $true) & ! [X21 : $i] : (((animal @ X21) = $true) | ((fox @ X21) != $true)) & ! [X1 : $i,X0 : $i] : (((wolf @ X0) != $true) | ((eats @ X0 @ X1) != $true) | ($true != (fox @ X1))) & ! [X10 : $i,X11 : $i] : (($true != (bird @ X11)) | ($true = (eats @ X11 @ X10)) | ($true != (caterpillar @ X10))) & ((snail @ a_snail) = $true) & ((caterpillar @ a_caterpillar) = $true) & ((grain @ a_grain) = $true) & ! [X12 : $i,X13 : $i] : (($true != (bird @ X13)) | ((caterpillar @ X12) != $true) | ($true = (msmaller @ X12 @ X13)))),
% 1.87/1.52 inference(flattening,[status(thm)],[f5])).
% 1.87/1.52 thf(f5,plain,(
% 1.87/1.52 ~~(! [X0 : $i,X1 : $i] : (~((eats @ X0 @ X1) = $true) | ~($true = (fox @ X1)) | ~((wolf @ X0) = $true)) & ((wolf @ a_wolf) = $true) & ! [X2 : $i] : (($true = (animal @ X2)) | ~($true = (bird @ X2))) & ! [X3 : $i] : (~((snail @ X3) = $true) | ((animal @ X3) = $true)) & ! [X4 : $i,X5 : $i] : (~($true = (eats @ X5 @ X4)) | ~($true = (snail @ X4)) | ~((bird @ X5) = $true)) & ! [X6 : $i] : (($true = (plant @ (cf @ X6))) | ~($true = (caterpillar @ X6))) & ((grain @ a_grain) = $true) & ! [X7 : $i,X8 : $i,X9 : $i] : (~((grain @ X9) = $true) | ~($true = (eats @ X7 @ X8)) | ~($true = (animal @ X8)) | ~((eats @ X8 @ X9) = $true) | ~((animal @ X7) = $true)) & ! [X10 : $i,X11 : $i] : (~($true = (caterpillar @ X10)) | ~($true = (bird @ X11)) | ($true = (eats @ X11 @ X10))) & ((bird @ a_bird) = $true) & ! [X12 : $i,X13 : $i] : (~($true = (bird @ X13)) | ($true = (msmaller @ X12 @ X13)) | ~((caterpillar @ X12) = $true)) & ! [X14 : $i] : (~((snail @ X14) = $true) | ((plant @ (sf @ X14)) = $true)) & ! [X15 : $i] : (($true = (plant @ X15)) | ~((grain @ X15) = $true)) & ((snail @ a_snail) = $true) & ((caterpillar @ a_caterpillar) = $true) & ! [X16 : $i] : (~((caterpillar @ X16) = $true) | ($true = (animal @ X16))) & ! [X17 : $i,X18 : $i,X19 : $i,X20 : $i] : (~((plant @ X17) = $true) | ~((animal @ X20) = $true) | ~($true = (msmaller @ X20 @ X18)) | ~($true = (eats @ X20 @ X17)) | ($true = (eats @ X18 @ X19)) | ~($true = (animal @ X18)) | ~($true = (plant @ X19)) | ($true = (eats @ X18 @ X20))) & ! [X21 : $i] : (((animal @ X21) = $true) | ~((fox @ X21) = $true)) & ! [X22 : $i,X23 : $i] : (~((bird @ X23) = $true) | ((msmaller @ X23 @ X22) = $true) | ~($true = (fox @ X22))) & ! [X24 : $i,X25 : $i] : (~($true = (snail @ X24)) | ($true = (msmaller @ X24 @ X25)) | ~((bird @ X25) = $true)) & ! [X26 : $i,X27 : $i] : (~($true = (eats @ X27 @ X26)) | ~((grain @ X26) = $true) | ~($true = (wolf @ X27))) & ! [X28 : $i] : (~($true = (snail @ X28)) | ($true = (eats @ X28 @ (sf @ X28)))) & ((fox @ a_fox) = $true) & ! [X29 : $i,X30 : $i] : (~((wolf @ X29) = $true) | ~($true = (fox @ X30)) | ((msmaller @ X30 @ X29) = $true)) & ! [X31 : $i] : (($true = (animal @ X31)) | ~($true = (wolf @ X31))) & ! [X32 : $i] : (~($true = (caterpillar @ X32)) | ($true = (eats @ X32 @ (cf @ X32)))))),
% 1.87/1.52 inference(fool_elimination,[status(thm)],[f4])).
% 1.87/1.52 thf(f4,plain,(
% 1.87/1.52 ~~(! [X0 : $i,X1 : $i] : (~(eats @ X0 @ X1) | ~(fox @ X1) | ~(wolf @ X0)) & (wolf @ a_wolf) & ! [X2 : $i] : ((animal @ X2) | ~(bird @ X2)) & ! [X3 : $i] : (~(snail @ X3) | (animal @ X3)) & ! [X4 : $i,X5 : $i] : (~(eats @ X5 @ X4) | ~(snail @ X4) | ~(bird @ X5)) & ! [X6 : $i] : ((plant @ (cf @ X6)) | ~(caterpillar @ X6)) & (grain @ a_grain) & ! [X7 : $i,X8 : $i,X9 : $i] : (~(grain @ X9) | ~(eats @ X7 @ X8) | ~(animal @ X8) | ~(eats @ X8 @ X9) | ~(animal @ X7)) & ! [X10 : $i,X11 : $i] : (~(caterpillar @ X10) | ~(bird @ X11) | (eats @ X11 @ X10)) & (bird @ a_bird) & ! [X12 : $i,X13 : $i] : (~(bird @ X13) | (msmaller @ X12 @ X13) | ~(caterpillar @ X12)) & ! [X14 : $i] : (~(snail @ X14) | (plant @ (sf @ X14))) & ! [X15 : $i] : ((plant @ X15) | ~(grain @ X15)) & (snail @ a_snail) & (caterpillar @ a_caterpillar) & ! [X16 : $i] : (~(caterpillar @ X16) | (animal @ X16)) & ! [X17 : $i,X18 : $i,X19 : $i,X20 : $i] : (~(plant @ X17) | ~(animal @ X20) | ~(msmaller @ X20 @ X18) | ~(eats @ X20 @ X17) | (eats @ X18 @ X19) | ~(animal @ X18) | ~(plant @ X19) | (eats @ X18 @ X20)) & ! [X21 : $i] : ((animal @ X21) | ~(fox @ X21)) & ! [X22 : $i,X23 : $i] : (~(bird @ X23) | (msmaller @ X23 @ X22) | ~(fox @ X22)) & ! [X24 : $i,X25 : $i] : (~(snail @ X24) | (msmaller @ X24 @ X25) | ~(bird @ X25)) & ! [X26 : $i,X27 : $i] : (~(eats @ X27 @ X26) | ~(grain @ X26) | ~(wolf @ X27)) & ! [X28 : $i] : (~(snail @ X28) | (eats @ X28 @ (sf @ X28))) & (fox @ a_fox) & ! [X29 : $i,X30 : $i] : (~(wolf @ X29) | ~(fox @ X30) | (msmaller @ X30 @ X29)) & ! [X31 : $i] : ((animal @ X31) | ~(wolf @ X31)) & ! [X32 : $i] : (~(caterpillar @ X32) | (eats @ X32 @ (cf @ X32))))),
% 1.87/1.52 inference(rectify,[status(thm)],[f2])).
% 1.87/1.52 thf(f2,negated_conjecture,(
% 1.87/1.52 ~~(! [X8 : $i,X7 : $i] : (~(eats @ X8 @ X7) | ~(fox @ X7) | ~(wolf @ X8)) & (wolf @ a_wolf) & ! [X0 : $i] : ((animal @ X0) | ~(bird @ X0)) & ! [X0 : $i] : (~(snail @ X0) | (animal @ X0)) & ! [X3 : $i,X6 : $i] : (~(eats @ X6 @ X3) | ~(snail @ X3) | ~(bird @ X6)) & ! [X5 : $i] : ((plant @ (cf @ X5)) | ~(caterpillar @ X5)) & (grain @ a_grain) & ! [X1 : $i,X10 : $i,X9 : $i] : (~(grain @ X9) | ~(eats @ X1 @ X10) | ~(animal @ X10) | ~(eats @ X10 @ X9) | ~(animal @ X1)) & ! [X5 : $i,X6 : $i] : (~(caterpillar @ X5) | ~(bird @ X6) | (eats @ X6 @ X5)) & (bird @ a_bird) & ! [X5 : $i,X6 : $i] : (~(bird @ X6) | (msmaller @ X5 @ X6) | ~(caterpillar @ X5)) & ! [X3 : $i] : (~(snail @ X3) | (plant @ (sf @ X3))) & ! [X0 : $i] : ((plant @ X0) | ~(grain @ X0)) & (snail @ a_snail) & (caterpillar @ a_caterpillar) & ! [X0 : $i] : (~(caterpillar @ X0) | (animal @ X0)) & ! [X4 : $i,X1 : $i,X2 : $i,X3 : $i] : (~(plant @ X4) | ~(animal @ X3) | ~(msmaller @ X3 @ X1) | ~(eats @ X3 @ X4) | (eats @ X1 @ X2) | ~(animal @ X1) | ~(plant @ X2) | (eats @ X1 @ X3)) & ! [X0 : $i] : ((animal @ X0) | ~(fox @ X0)) & ! [X7 : $i,X6 : $i] : (~(bird @ X6) | (msmaller @ X6 @ X7) | ~(fox @ X7)) & ! [X3 : $i,X6 : $i] : (~(snail @ X3) | (msmaller @ X3 @ X6) | ~(bird @ X6)) & ! [X9 : $i,X8 : $i] : (~(eats @ X8 @ X9) | ~(grain @ X9) | ~(wolf @ X8)) & ! [X3 : $i] : (~(snail @ X3) | (eats @ X3 @ (sf @ X3))) & (fox @ a_fox) & ! [X8 : $i,X7 : $i] : (~(wolf @ X8) | ~(fox @ X7) | (msmaller @ X7 @ X8)) & ! [X0 : $i] : ((animal @ X0) | ~(wolf @ X0)) & ! [X5 : $i] : (~(caterpillar @ X5) | (eats @ X5 @ (cf @ X5))))),
% 1.87/1.52 inference(negated_conjecture,[status(cth)],[f1])).
% 1.87/1.52 thf(f1,conjecture,(
% 1.87/1.52 ~(! [X8 : $i,X7 : $i] : (~(eats @ X8 @ X7) | ~(fox @ X7) | ~(wolf @ X8)) & (wolf @ a_wolf) & ! [X0 : $i] : ((animal @ X0) | ~(bird @ X0)) & ! [X0 : $i] : (~(snail @ X0) | (animal @ X0)) & ! [X3 : $i,X6 : $i] : (~(eats @ X6 @ X3) | ~(snail @ X3) | ~(bird @ X6)) & ! [X5 : $i] : ((plant @ (cf @ X5)) | ~(caterpillar @ X5)) & (grain @ a_grain) & ! [X1 : $i,X10 : $i,X9 : $i] : (~(grain @ X9) | ~(eats @ X1 @ X10) | ~(animal @ X10) | ~(eats @ X10 @ X9) | ~(animal @ X1)) & ! [X5 : $i,X6 : $i] : (~(caterpillar @ X5) | ~(bird @ X6) | (eats @ X6 @ X5)) & (bird @ a_bird) & ! [X5 : $i,X6 : $i] : (~(bird @ X6) | (msmaller @ X5 @ X6) | ~(caterpillar @ X5)) & ! [X3 : $i] : (~(snail @ X3) | (plant @ (sf @ X3))) & ! [X0 : $i] : ((plant @ X0) | ~(grain @ X0)) & (snail @ a_snail) & (caterpillar @ a_caterpillar) & ! [X0 : $i] : (~(caterpillar @ X0) | (animal @ X0)) & ! [X4 : $i,X1 : $i,X2 : $i,X3 : $i] : (~(plant @ X4) | ~(animal @ X3) | ~(msmaller @ X3 @ X1) | ~(eats @ X3 @ X4) | (eats @ X1 @ X2) | ~(animal @ X1) | ~(plant @ X2) | (eats @ X1 @ X3)) & ! [X0 : $i] : ((animal @ X0) | ~(fox @ X0)) & ! [X7 : $i,X6 : $i] : (~(bird @ X6) | (msmaller @ X6 @ X7) | ~(fox @ X7)) & ! [X3 : $i,X6 : $i] : (~(snail @ X3) | (msmaller @ X3 @ X6) | ~(bird @ X6)) & ! [X9 : $i,X8 : $i] : (~(eats @ X8 @ X9) | ~(grain @ X9) | ~(wolf @ X8)) & ! [X3 : $i] : (~(snail @ X3) | (eats @ X3 @ (sf @ X3))) & (fox @ a_fox) & ! [X8 : $i,X7 : $i] : (~(wolf @ X8) | ~(fox @ X7) | (msmaller @ X7 @ X8)) & ! [X0 : $i] : ((animal @ X0) | ~(wolf @ X0)) & ! [X5 : $i] : (~(caterpillar @ X5) | (eats @ X5 @ (cf @ X5))))),
% 1.87/1.52 file('/export/starexec/sandbox/tmp/tmp.T907uGUouf/DTF2THF_15490.p',cPUZ031_1)).
% 1.87/1.52 thf(f402,plain,(
% 1.87/1.52 ( ! [X0 : $i] : (((fox @ X0) != $true)) ) | ~spl0_27),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f401])).
% 1.87/1.52 thf(f401,definition,(
% 1.87/1.52 spl0_27 <=> ! [X0 : $i] : ((fox @ X0) != $true)),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_27])],[avatar_definition])).
% 1.87/1.52 thf(f403,plain,(
% 1.87/1.52 spl0_4 | spl0_16 | spl0_27 | ~spl0_9 | ~spl0_22),
% 1.87/1.52 inference(avatar_split_clause,[status(thm)],[f399,f296,f122,f401,f179,f60])).
% 1.87/1.52 thf(f60,definition,(
% 1.87/1.52 spl0_4 <=> ! [X0 : $i] : ((bird @ X0) != $true)),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 1.87/1.52 thf(f179,definition,(
% 1.87/1.52 spl0_16 <=> ! [X2 : $i] : ((plant @ X2) != $true)),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition])).
% 1.87/1.52 thf(f122,definition,(
% 1.87/1.52 spl0_9 <=> ! [X1 : $i,X3 : $i] : (((eats @ X1 @ X3) != $true) | ((plant @ X3) != $true) | ($true != (fox @ X1)))),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 1.87/1.52 thf(f296,definition,(
% 1.87/1.52 spl0_22 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (msmaller @ X1 @ X0)) | ((plant @ X2) != $true) | ($true = (eats @ X0 @ X2)) | ((bird @ X1) != $true) | ((animal @ X0) != $true))),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_22])],[avatar_definition])).
% 1.87/1.52 thf(f399,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (plant @ X1)) | ((fox @ X0) != $true) | ($true != (bird @ X2))) ) | (~spl0_9 | ~spl0_22)),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f398,f24])).
% 1.87/1.52 thf(f24,plain,(
% 1.87/1.52 ( ! [X18 : $i,X17 : $i] : (($true = (msmaller @ X17 @ X18)) | ($true != (bird @ X17)) | ((fox @ X18) != $true)) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f398,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((msmaller @ X2 @ X0) != $true) | ((fox @ X0) != $true) | ($true != (plant @ X1)) | ($true != (bird @ X2))) ) | (~spl0_9 | ~spl0_22)),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f378,f14])).
% 1.87/1.52 thf(f14,plain,(
% 1.87/1.52 ( ! [X26 : $i] : (($true = (animal @ X26)) | ($true != (fox @ X26))) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f378,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (bird @ X2)) | ((msmaller @ X2 @ X0) != $true) | ($true != (plant @ X1)) | ((animal @ X0) != $true) | ((fox @ X0) != $true)) ) | (~spl0_9 | ~spl0_22)),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f377])).
% 1.87/1.52 thf(f377,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true != (bird @ X2)) | ($true != (plant @ X1)) | ((msmaller @ X2 @ X0) != $true) | ((animal @ X0) != $true) | ((fox @ X0) != $true)) ) | (~spl0_9 | ~spl0_22)),
% 1.87/1.52 inference(duplicate_literal_removal,[status(thm)],[f373])).
% 1.87/1.52 thf(f373,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((fox @ X0) != $true) | ((animal @ X0) != $true) | ($true != (bird @ X2)) | ($true != (plant @ X1)) | ($true != $true) | ((msmaller @ X2 @ X0) != $true) | ($true != (plant @ X1))) ) | (~spl0_9 | ~spl0_22)),
% 1.87/1.52 inference(superposition,[status(thm)],[f123,f297])).
% 1.87/1.52 thf(f297,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (eats @ X0 @ X2)) | ((animal @ X0) != $true) | ((plant @ X2) != $true) | ((bird @ X1) != $true) | ($true != (msmaller @ X1 @ X0))) ) | ~spl0_22),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f296])).
% 1.87/1.52 thf(f123,plain,(
% 1.87/1.52 ( ! [X3 : $i,X1 : $i] : (((eats @ X1 @ X3) != $true) | ($true != (fox @ X1)) | ((plant @ X3) != $true)) ) | ~spl0_9),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f122])).
% 1.87/1.52 thf(f298,plain,(
% 1.87/1.52 spl0_22 | spl0_16 | ~spl0_5 | ~spl0_11),
% 1.87/1.52 inference(avatar_split_clause,[status(thm)],[f294,f135,f79,f179,f296])).
% 1.87/1.52 thf(f79,definition,(
% 1.87/1.52 spl0_5 <=> ! [X2 : $i,X0 : $i] : (((bird @ X0) != $true) | ($true != (animal @ X2)) | ((eats @ X2 @ X0) != $true))),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 1.87/1.52 thf(f135,definition,(
% 1.87/1.52 spl0_11 <=> ! [X2 : $i,X0 : $i] : (($true = (eats @ X0 @ X2)) | ((plant @ X2) != $true) | ((bird @ X0) != $true))),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])).
% 1.87/1.52 thf(f294,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (msmaller @ X1 @ X0)) | ((animal @ X0) != $true) | ((bird @ X1) != $true) | ($true = (eats @ X0 @ X2)) | ((plant @ X3) != $true) | ((plant @ X2) != $true)) ) | (~spl0_5 | ~spl0_11)),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f293,f16])).
% 1.87/1.52 thf(f16,plain,(
% 1.87/1.52 ( ! [X25 : $i] : (($true = (animal @ X25)) | ((bird @ X25) != $true)) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f293,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((plant @ X3) != $true) | ((animal @ X1) != $true) | ((plant @ X2) != $true) | ($true != (msmaller @ X1 @ X0)) | ((animal @ X0) != $true) | ($true = (eats @ X0 @ X2)) | ((bird @ X1) != $true)) ) | (~spl0_5 | ~spl0_11)),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f292,f136])).
% 1.87/1.52 thf(f136,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i] : (($true = (eats @ X0 @ X2)) | ((plant @ X2) != $true) | ((bird @ X0) != $true)) ) | ~spl0_11),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f135])).
% 1.87/1.52 thf(f292,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X0) != $true) | ((animal @ X1) != $true) | ($true = (eats @ X0 @ X2)) | ((bird @ X1) != $true) | ((eats @ X1 @ X3) != $true) | ($true != (msmaller @ X1 @ X0)) | ((plant @ X2) != $true) | ((plant @ X3) != $true)) ) | ~spl0_5),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f291])).
% 1.87/1.52 thf(f291,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((plant @ X3) != $true) | ((eats @ X1 @ X3) != $true) | ((plant @ X2) != $true) | ((animal @ X0) != $true) | ((animal @ X1) != $true) | ((bird @ X1) != $true) | ($true != $true) | ($true = (eats @ X0 @ X2)) | ($true != (msmaller @ X1 @ X0))) ) | ~spl0_5),
% 1.87/1.52 inference(duplicate_literal_removal,[status(thm)],[f286])).
% 1.87/1.52 thf(f286,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((bird @ X1) != $true) | ($true != (msmaller @ X1 @ X0)) | ((eats @ X1 @ X3) != $true) | ((plant @ X3) != $true) | ((animal @ X0) != $true) | ($true = (eats @ X0 @ X2)) | ((animal @ X0) != $true) | ((animal @ X1) != $true) | ((plant @ X2) != $true) | ($true != $true)) ) | ~spl0_5),
% 1.87/1.52 inference(superposition,[status(thm)],[f80,f25])).
% 1.87/1.52 thf(f25,plain,(
% 1.87/1.52 ( ! [X16 : $i,X14 : $i,X15 : $i,X13 : $i] : (($true = (eats @ X15 @ X14)) | ($true = (eats @ X15 @ X13)) | ($true != (animal @ X14)) | ($true != (msmaller @ X14 @ X15)) | ($true != (plant @ X13)) | ((animal @ X15) != $true) | ((plant @ X16) != $true) | ($true != (eats @ X14 @ X16))) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f80,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i] : (((eats @ X2 @ X0) != $true) | ($true != (animal @ X2)) | ((bird @ X0) != $true)) ) | ~spl0_5),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f79])).
% 1.87/1.52 thf(f279,plain,(
% 1.87/1.52 ~spl0_10),
% 1.87/1.52 inference(avatar_contradiction_clause,[status(thm)],[f278])).
% 1.87/1.52 thf(f278,plain,(
% 1.87/1.52 $false | ~spl0_10),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f277])).
% 1.87/1.52 thf(f277,plain,(
% 1.87/1.52 ($true != $true) | ~spl0_10),
% 1.87/1.52 inference(superposition,[status(thm)],[f276,f11])).
% 1.87/1.52 thf(f11,plain,(
% 1.87/1.52 ((snail @ a_snail) = $true)),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f276,plain,(
% 1.87/1.52 ( ! [X0 : $i] : (((snail @ X0) != $true)) ) | ~spl0_10),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f273,f33])).
% 1.87/1.52 thf(f33,plain,(
% 1.87/1.52 ( ! [X0 : $i] : (($true = (plant @ (sf @ X0))) | ((snail @ X0) != $true)) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f273,plain,(
% 1.87/1.52 ( ! [X0 : $i] : (($true != (plant @ (sf @ X0))) | ((snail @ X0) != $true)) ) | ~spl0_10),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f272])).
% 1.87/1.52 thf(f272,plain,(
% 1.87/1.52 ( ! [X0 : $i] : (($true != $true) | ((snail @ X0) != $true) | ($true != (plant @ (sf @ X0)))) ) | ~spl0_10),
% 1.87/1.52 inference(duplicate_literal_removal,[status(thm)],[f268])).
% 1.87/1.52 thf(f268,plain,(
% 1.87/1.52 ( ! [X0 : $i] : (($true != (plant @ (sf @ X0))) | ((snail @ X0) != $true) | ((snail @ X0) != $true) | ($true != $true)) ) | ~spl0_10),
% 1.87/1.52 inference(superposition,[status(thm)],[f133,f28])).
% 1.87/1.52 thf(f28,plain,(
% 1.87/1.52 ( ! [X9 : $i] : (($true = (eats @ X9 @ (sf @ X9))) | ((snail @ X9) != $true)) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f133,plain,(
% 1.87/1.52 ( ! [X3 : $i,X1 : $i] : (((eats @ X1 @ X3) != $true) | ($true != (snail @ X1)) | ((plant @ X3) != $true)) ) | ~spl0_10),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f132])).
% 1.87/1.52 thf(f132,definition,(
% 1.87/1.52 spl0_10 <=> ! [X1 : $i,X3 : $i] : (((plant @ X3) != $true) | ($true != (snail @ X1)) | ((eats @ X1 @ X3) != $true))),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
% 1.87/1.52 thf(f265,plain,(
% 1.87/1.52 spl0_5 | spl0_13 | ~spl0_11),
% 1.87/1.52 inference(avatar_split_clause,[status(thm)],[f264,f135,f155,f79])).
% 1.87/1.52 thf(f155,definition,(
% 1.87/1.52 spl0_13 <=> ! [X1 : $i] : ($true != (grain @ X1))),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])).
% 1.87/1.52 thf(f264,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ($true != (animal @ X2)) | ((eats @ X2 @ X0) != $true) | ($true != (grain @ X1))) ) | ~spl0_11),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f263,f16])).
% 1.87/1.52 thf(f263,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (grain @ X1)) | ((bird @ X0) != $true) | ((animal @ X0) != $true) | ((eats @ X2 @ X0) != $true) | ($true != (animal @ X2))) ) | ~spl0_11),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f255,f31])).
% 1.87/1.52 thf(f31,plain,(
% 1.87/1.52 ( ! [X3 : $i] : (((plant @ X3) = $true) | ($true != (grain @ X3))) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f255,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != (animal @ X2)) | ($true != (plant @ X1)) | ($true != (grain @ X1)) | ((animal @ X0) != $true) | ((bird @ X0) != $true) | ((eats @ X2 @ X0) != $true)) ) | ~spl0_11),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f249])).
% 1.87/1.52 thf(f249,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ($true != (animal @ X2)) | ((animal @ X0) != $true) | ($true != (plant @ X1)) | ($true != (grain @ X1)) | ((eats @ X2 @ X0) != $true) | ($true != $true)) ) | ~spl0_11),
% 1.87/1.52 inference(superposition,[status(thm)],[f29,f136])).
% 1.87/1.52 thf(f29,plain,(
% 1.87/1.52 ( ! [X8 : $i,X6 : $i,X7 : $i] : (($true != (eats @ X7 @ X6)) | ((eats @ X8 @ X7) != $true) | ($true != (animal @ X8)) | ((animal @ X7) != $true) | ($true != (grain @ X6))) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f207,plain,(
% 1.87/1.52 spl0_13 | ~spl0_16),
% 1.87/1.52 inference(avatar_split_clause,[status(thm)],[f206,f179,f155])).
% 1.87/1.52 thf(f206,plain,(
% 1.87/1.52 ( ! [X0 : $i] : (((grain @ X0) != $true)) ) | ~spl0_16),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f201])).
% 1.87/1.52 thf(f201,plain,(
% 1.87/1.52 ( ! [X0 : $i] : (((grain @ X0) != $true) | ($true != $true)) ) | ~spl0_16),
% 1.87/1.52 inference(superposition,[status(thm)],[f180,f31])).
% 1.87/1.52 thf(f180,plain,(
% 1.87/1.52 ( ! [X2 : $i] : (((plant @ X2) != $true)) ) | ~spl0_16),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f179])).
% 1.87/1.52 thf(f200,plain,(
% 1.87/1.52 ~spl0_13),
% 1.87/1.52 inference(avatar_contradiction_clause,[status(thm)],[f199])).
% 1.87/1.52 thf(f199,plain,(
% 1.87/1.52 $false | ~spl0_13),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f198])).
% 1.87/1.52 thf(f198,plain,(
% 1.87/1.52 ($true != $true) | ~spl0_13),
% 1.87/1.52 inference(superposition,[status(thm)],[f156,f9])).
% 1.87/1.52 thf(f9,plain,(
% 1.87/1.52 ((grain @ a_grain) = $true)),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f156,plain,(
% 1.87/1.52 ( ! [X1 : $i] : (($true != (grain @ X1))) ) | ~spl0_13),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f155])).
% 1.87/1.52 thf(f197,plain,(
% 1.87/1.52 ~spl0_12),
% 1.87/1.52 inference(avatar_contradiction_clause,[status(thm)],[f196])).
% 1.87/1.52 thf(f196,plain,(
% 1.87/1.52 $false | ~spl0_12),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f195])).
% 1.87/1.52 thf(f195,plain,(
% 1.87/1.52 ($true != $true) | ~spl0_12),
% 1.87/1.52 inference(superposition,[status(thm)],[f153,f15])).
% 1.87/1.52 thf(f15,plain,(
% 1.87/1.52 ((wolf @ a_wolf) = $true)),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f153,plain,(
% 1.87/1.52 ( ! [X0 : $i] : (((wolf @ X0) != $true)) ) | ~spl0_12),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f152])).
% 1.87/1.52 thf(f152,definition,(
% 1.87/1.52 spl0_12 <=> ! [X0 : $i] : ((wolf @ X0) != $true)),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 1.87/1.52 thf(f157,plain,(
% 1.87/1.52 spl0_12 | spl0_13 | ~spl0_8),
% 1.87/1.52 inference(avatar_split_clause,[status(thm)],[f150,f119,f155,f152])).
% 1.87/1.52 thf(f119,definition,(
% 1.87/1.52 spl0_8 <=> ! [X2 : $i,X0 : $i] : (((wolf @ X0) != $true) | ((plant @ X2) != $true) | ($true = (eats @ X0 @ X2)))),
% 1.87/1.52 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
% 1.87/1.52 thf(f150,plain,(
% 1.87/1.52 ( ! [X0 : $i,X1 : $i] : (((wolf @ X0) != $true) | ($true != (grain @ X1))) ) | ~spl0_8),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f149,f31])).
% 1.87/1.52 thf(f149,plain,(
% 1.87/1.52 ( ! [X0 : $i,X1 : $i] : (($true != (grain @ X1)) | ($true != (plant @ X1)) | ((wolf @ X0) != $true)) ) | ~spl0_8),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f148])).
% 1.87/1.52 thf(f148,plain,(
% 1.87/1.52 ( ! [X0 : $i,X1 : $i] : (((wolf @ X0) != $true) | ($true != (plant @ X1)) | ($true != $true) | ($true != (grain @ X1))) ) | ~spl0_8),
% 1.87/1.52 inference(duplicate_literal_removal,[status(thm)],[f143])).
% 1.87/1.52 thf(f143,plain,(
% 1.87/1.52 ( ! [X0 : $i,X1 : $i] : (($true != (grain @ X1)) | ((wolf @ X0) != $true) | ($true != $true) | ((wolf @ X0) != $true) | ($true != (plant @ X1))) ) | ~spl0_8),
% 1.87/1.52 inference(superposition,[status(thm)],[f32,f120])).
% 1.87/1.52 thf(f120,plain,(
% 1.87/1.52 ( ! [X2 : $i,X0 : $i] : (($true = (eats @ X0 @ X2)) | ((plant @ X2) != $true) | ((wolf @ X0) != $true)) ) | ~spl0_8),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f119])).
% 1.87/1.52 thf(f32,plain,(
% 1.87/1.52 ( ! [X2 : $i,X1 : $i] : (((eats @ X1 @ X2) != $true) | ($true != (wolf @ X1)) | ($true != (grain @ X2))) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f137,plain,(
% 1.87/1.52 spl0_10 | spl0_11),
% 1.87/1.52 inference(avatar_split_clause,[status(thm)],[f130,f135,f132])).
% 1.87/1.52 thf(f130,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (eats @ X0 @ X2)) | ((plant @ X3) != $true) | ($true != (snail @ X1)) | ((bird @ X0) != $true) | ((plant @ X2) != $true) | ((eats @ X1 @ X3) != $true)) )),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f129,f30])).
% 1.87/1.52 thf(f30,plain,(
% 1.87/1.52 ( ! [X4 : $i,X5 : $i] : (($true = (msmaller @ X4 @ X5)) | ((bird @ X5) != $true) | ($true != (snail @ X4))) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f129,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ((plant @ X2) != $true) | ($true = (eats @ X0 @ X2)) | ($true != (msmaller @ X1 @ X0)) | ($true != (snail @ X1)) | ((eats @ X1 @ X3) != $true) | ((plant @ X3) != $true)) )),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f128,f22])).
% 1.87/1.52 thf(f22,plain,(
% 1.87/1.52 ( ! [X21 : $i] : (((animal @ X21) = $true) | ((snail @ X21) != $true)) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f128,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eats @ X1 @ X3) != $true) | ($true != (snail @ X1)) | ($true = (eats @ X0 @ X2)) | ((animal @ X1) != $true) | ((plant @ X3) != $true) | ((bird @ X0) != $true) | ($true != (msmaller @ X1 @ X0)) | ((plant @ X2) != $true)) )),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f111,f16])).
% 1.87/1.52 thf(f111,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((bird @ X0) != $true) | ($true != (snail @ X1)) | ((animal @ X0) != $true) | ((animal @ X1) != $true) | ($true = (eats @ X0 @ X2)) | ((plant @ X3) != $true) | ((eats @ X1 @ X3) != $true) | ($true != (msmaller @ X1 @ X0)) | ((plant @ X2) != $true)) )),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f101])).
% 1.87/1.52 thf(f101,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != $true) | ($true != (msmaller @ X1 @ X0)) | ((bird @ X0) != $true) | ((eats @ X1 @ X3) != $true) | ($true = (eats @ X0 @ X2)) | ((animal @ X1) != $true) | ((animal @ X0) != $true) | ((plant @ X2) != $true) | ((plant @ X3) != $true) | ($true != (snail @ X1))) )),
% 1.87/1.52 inference(superposition,[status(thm)],[f26,f25])).
% 1.87/1.52 thf(f26,plain,(
% 1.87/1.52 ( ! [X11 : $i,X12 : $i] : (($true != (eats @ X12 @ X11)) | ($true != (snail @ X11)) | ($true != (bird @ X12))) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f127,plain,(
% 1.87/1.52 ~spl0_4),
% 1.87/1.52 inference(avatar_contradiction_clause,[status(thm)],[f126])).
% 1.87/1.52 thf(f126,plain,(
% 1.87/1.52 $false | ~spl0_4),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f125])).
% 1.87/1.52 thf(f125,plain,(
% 1.87/1.52 ($true != $true) | ~spl0_4),
% 1.87/1.52 inference(superposition,[status(thm)],[f61,f20])).
% 1.87/1.52 thf(f20,plain,(
% 1.87/1.52 ((bird @ a_bird) = $true)),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f61,plain,(
% 1.87/1.52 ( ! [X0 : $i] : (((bird @ X0) != $true)) ) | ~spl0_4),
% 1.87/1.52 inference(avatar_component_clause,[status(thm)],[f60])).
% 1.87/1.52 thf(f124,plain,(
% 1.87/1.52 spl0_8 | spl0_9),
% 1.87/1.52 inference(avatar_split_clause,[status(thm)],[f117,f122,f119])).
% 1.87/1.52 thf(f117,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eats @ X1 @ X3) != $true) | ($true != (fox @ X1)) | ((plant @ X3) != $true) | ((wolf @ X0) != $true) | ($true = (eats @ X0 @ X2)) | ((plant @ X2) != $true)) )),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f116,f23])).
% 1.87/1.52 thf(f23,plain,(
% 1.87/1.52 ( ! [X19 : $i,X20 : $i] : (((msmaller @ X19 @ X20) = $true) | ($true != (fox @ X19)) | ($true != (wolf @ X20))) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f116,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eats @ X1 @ X3) != $true) | ($true = (eats @ X0 @ X2)) | ($true != (msmaller @ X1 @ X0)) | ($true != (fox @ X1)) | ((plant @ X2) != $true) | ((plant @ X3) != $true) | ((wolf @ X0) != $true)) )),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f115,f19])).
% 1.87/1.52 thf(f19,plain,(
% 1.87/1.52 ( ! [X22 : $i] : (($true = (animal @ X22)) | ($true != (wolf @ X22))) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 thf(f115,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((animal @ X0) != $true) | ((plant @ X2) != $true) | ((plant @ X3) != $true) | ($true != (msmaller @ X1 @ X0)) | ((eats @ X1 @ X3) != $true) | ($true = (eats @ X0 @ X2)) | ((wolf @ X0) != $true) | ($true != (fox @ X1))) )),
% 1.87/1.52 inference(subsumption_resolution,[status(thm)],[f112,f14])).
% 1.87/1.52 thf(f112,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (fox @ X1)) | ((eats @ X1 @ X3) != $true) | ((plant @ X2) != $true) | ((wolf @ X0) != $true) | ((plant @ X3) != $true) | ($true != (msmaller @ X1 @ X0)) | ($true = (eats @ X0 @ X2)) | ((animal @ X0) != $true) | ((animal @ X1) != $true)) )),
% 1.87/1.52 inference(trivial_inequality_removal,[status(thm)],[f100])).
% 1.87/1.52 thf(f100,plain,(
% 1.87/1.52 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != (msmaller @ X1 @ X0)) | ($true != $true) | ($true = (eats @ X0 @ X2)) | ((animal @ X0) != $true) | ((eats @ X1 @ X3) != $true) | ((plant @ X3) != $true) | ($true != (fox @ X1)) | ((wolf @ X0) != $true) | ((animal @ X1) != $true) | ((plant @ X2) != $true)) )),
% 1.87/1.52 inference(superposition,[status(thm)],[f13,f25])).
% 1.87/1.52 thf(f13,plain,(
% 1.87/1.52 ( ! [X28 : $i,X27 : $i] : (((eats @ X28 @ X27) != $true) | ((fox @ X27) != $true) | ((wolf @ X28) != $true)) )),
% 1.87/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.87/1.52 % SZS output end Proof for DTF2THF_15490
% 1.87/1.52 % (15589)------------------------------
% 1.87/1.52 % (15589)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.52 % (15589)Termination reason: Refutation
% 1.87/1.52
% 1.87/1.52 % (15589)Memory used [KB]: 6012
% 1.87/1.52 % (15589)Time elapsed: 0.050 s
% 1.87/1.52 % (15589)Instructions burned: 87 (million)
% 1.87/1.52 % (15589)------------------------------
% 1.87/1.52 % (15589)------------------------------
% 1.87/1.52 % (15588)Success in time 0.06 s
%------------------------------------------------------------------------------