TSTP Solution File: PUZ094^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ094^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n029.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 : 600s
% DateTime : Mon Jul 18 18:19:37 EDT 2022
% Result : Theorem 0.43s 0.61s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 16
% Syntax : Number of formulae : 208 ( 129 unt; 15 typ; 0 def)
% Number of atoms : 2763 ( 353 equ; 0 cnn)
% Maximal formula atoms : 50 ( 14 avg)
% Number of connectives : 7287 (2859 ~;1750 |; 114 &;2564 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 1015 ( 0 ^1015 !; 0 ?;1015 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_bird,type,
a_bird: $i ).
thf(tp_a_fox,type,
a_fox: $i ).
thf(tp_a_grain,type,
a_grain: $i ).
thf(tp_a_snail,type,
a_snail: $i ).
thf(tp_a_wolf,type,
a_wolf: $i ).
thf(tp_animal,type,
animal: $i > $o ).
thf(tp_bird,type,
bird: $i > $o ).
thf(tp_eats,type,
eats: $i > $i > $o ).
thf(tp_fox,type,
fox: $i > $o ).
thf(tp_grain,type,
grain: $i > $o ).
thf(tp_msmaller,type,
msmaller: $i > $i > $o ).
thf(tp_plant,type,
plant: $i > $o ).
thf(tp_sf,type,
sf: $i > $i ).
thf(tp_snail,type,
snail: $i > $o ).
thf(tp_wolf,type,
wolf: $i > $o ).
thf(1,conjecture,
~ ( ! [X: $i] :
( ( animal @ X )
| ~ ( wolf @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( fox @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( bird @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( snail @ X ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( snail @ a_snail )
& ( grain @ a_grain )
& ! [X: $i] :
( ( plant @ X )
| ~ ( grain @ X ) )
& ! [A: $i,P: $i,S: $i,O: $i] :
( ( eats @ A @ P )
| ( eats @ A @ S )
| ~ ( animal @ A )
| ~ ( plant @ P )
| ~ ( animal @ S )
| ~ ( plant @ O )
| ~ ( msmaller @ S @ A )
| ~ ( eats @ S @ O ) )
& ! [S: $i,B: $i] :
( ( msmaller @ S @ B )
| ~ ( snail @ S )
| ~ ( bird @ B ) )
& ! [B: $i,F: $i] :
( ( msmaller @ B @ F )
| ~ ( bird @ B )
| ~ ( fox @ F ) )
& ! [F: $i,W: $i] :
( ( msmaller @ F @ W )
| ~ ( fox @ F )
| ~ ( wolf @ W ) )
& ! [F: $i,W: $i] :
( ~ ( wolf @ W )
| ~ ( fox @ F )
| ~ ( eats @ W @ F ) )
& ! [W: $i,G: $i] :
( ~ ( wolf @ W )
| ~ ( grain @ G )
| ~ ( eats @ W @ G ) )
& ! [B: $i,S: $i] :
( ~ ( bird @ B )
| ~ ( snail @ S )
| ~ ( eats @ B @ S ) )
& ! [S: $i] :
( ( plant @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [S: $i] :
( ( eats @ S @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [A: $i,E: $i,G: $i] :
( ~ ( animal @ A )
| ~ ( animal @ E )
| ~ ( grain @ G )
| ~ ( eats @ A @ E )
| ~ ( eats @ E @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPUZ031_2) ).
thf(2,negated_conjecture,
( ( ~ ( ! [X: $i] :
( ( animal @ X )
| ~ ( wolf @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( fox @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( bird @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( snail @ X ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( snail @ a_snail )
& ( grain @ a_grain )
& ! [X: $i] :
( ( plant @ X )
| ~ ( grain @ X ) )
& ! [A: $i,P: $i,S: $i,O: $i] :
( ( eats @ A @ P )
| ( eats @ A @ S )
| ~ ( animal @ A )
| ~ ( plant @ P )
| ~ ( animal @ S )
| ~ ( plant @ O )
| ~ ( msmaller @ S @ A )
| ~ ( eats @ S @ O ) )
& ! [S: $i,B: $i] :
( ( msmaller @ S @ B )
| ~ ( snail @ S )
| ~ ( bird @ B ) )
& ! [B: $i,F: $i] :
( ( msmaller @ B @ F )
| ~ ( bird @ B )
| ~ ( fox @ F ) )
& ! [F: $i,W: $i] :
( ( msmaller @ F @ W )
| ~ ( fox @ F )
| ~ ( wolf @ W ) )
& ! [F: $i,W: $i] :
( ~ ( wolf @ W )
| ~ ( fox @ F )
| ~ ( eats @ W @ F ) )
& ! [W: $i,G: $i] :
( ~ ( wolf @ W )
| ~ ( grain @ G )
| ~ ( eats @ W @ G ) )
& ! [B: $i,S: $i] :
( ~ ( bird @ B )
| ~ ( snail @ S )
| ~ ( eats @ B @ S ) )
& ! [S: $i] :
( ( plant @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [S: $i] :
( ( eats @ S @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [A: $i,E: $i,G: $i] :
( ~ ( animal @ A )
| ~ ( animal @ E )
| ~ ( grain @ G )
| ~ ( eats @ A @ E )
| ~ ( eats @ E @ G ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ( ! [X: $i] :
( ( animal @ X )
| ~ ( wolf @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( fox @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( bird @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( snail @ X ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( snail @ a_snail )
& ( grain @ a_grain )
& ! [X: $i] :
( ( plant @ X )
| ~ ( grain @ X ) )
& ! [A: $i,P: $i,S: $i,O: $i] :
( ( eats @ A @ P )
| ( eats @ A @ S )
| ~ ( animal @ A )
| ~ ( plant @ P )
| ~ ( animal @ S )
| ~ ( plant @ O )
| ~ ( msmaller @ S @ A )
| ~ ( eats @ S @ O ) )
& ! [S: $i,B: $i] :
( ( msmaller @ S @ B )
| ~ ( snail @ S )
| ~ ( bird @ B ) )
& ! [B: $i,F: $i] :
( ( msmaller @ B @ F )
| ~ ( bird @ B )
| ~ ( fox @ F ) )
& ! [F: $i,W: $i] :
( ( msmaller @ F @ W )
| ~ ( fox @ F )
| ~ ( wolf @ W ) )
& ! [F: $i,W: $i] :
( ~ ( wolf @ W )
| ~ ( fox @ F )
| ~ ( eats @ W @ F ) )
& ! [W: $i,G: $i] :
( ~ ( wolf @ W )
| ~ ( grain @ G )
| ~ ( eats @ W @ G ) )
& ! [B: $i,S: $i] :
( ~ ( bird @ B )
| ~ ( snail @ S )
| ~ ( eats @ B @ S ) )
& ! [S: $i] :
( ( plant @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [S: $i] :
( ( eats @ S @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [A: $i,E: $i,G: $i] :
( ~ ( animal @ A )
| ~ ( animal @ E )
| ~ ( grain @ G )
| ~ ( eats @ A @ E )
| ~ ( eats @ E @ G ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( wolf @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( fox @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( bird @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( snail @ X ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( snail @ a_snail )
& ( grain @ a_grain )
& ! [X: $i] :
( ( plant @ X )
| ~ ( grain @ X ) )
& ! [A: $i,P: $i,S: $i,O: $i] :
( ( eats @ A @ P )
| ( eats @ A @ S )
| ~ ( animal @ A )
| ~ ( plant @ P )
| ~ ( animal @ S )
| ~ ( plant @ O )
| ~ ( msmaller @ S @ A )
| ~ ( eats @ S @ O ) )
& ! [S: $i,B: $i] :
( ( msmaller @ S @ B )
| ~ ( snail @ S )
| ~ ( bird @ B ) )
& ! [B: $i,F: $i] :
( ( msmaller @ B @ F )
| ~ ( bird @ B )
| ~ ( fox @ F ) )
& ! [F: $i,W: $i] :
( ( msmaller @ F @ W )
| ~ ( fox @ F )
| ~ ( wolf @ W ) )
& ! [F: $i,W: $i] :
( ~ ( wolf @ W )
| ~ ( fox @ F )
| ~ ( eats @ W @ F ) )
& ! [W: $i,G: $i] :
( ~ ( wolf @ W )
| ~ ( grain @ G )
| ~ ( eats @ W @ G ) )
& ! [B: $i,S: $i] :
( ~ ( bird @ B )
| ~ ( snail @ S )
| ~ ( eats @ B @ S ) )
& ! [S: $i] :
( ( plant @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [S: $i] :
( ( eats @ S @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [A: $i,E: $i,G: $i] :
( ~ ( animal @ A )
| ~ ( animal @ E )
| ~ ( grain @ G )
| ~ ( eats @ A @ E )
| ~ ( eats @ E @ G ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [A: $i,E: $i,G: $i] :
( ~ ( animal @ A )
| ~ ( animal @ E )
| ~ ( grain @ G )
| ~ ( eats @ A @ E )
| ~ ( eats @ E @ G ) )
& ! [S: $i] :
( ( eats @ S @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [S: $i] :
( ( plant @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [B: $i,S: $i] :
( ~ ( bird @ B )
| ~ ( snail @ S )
| ~ ( eats @ B @ S ) )
& ! [W: $i,G: $i] :
( ~ ( wolf @ W )
| ~ ( grain @ G )
| ~ ( eats @ W @ G ) )
& ! [F: $i,W: $i] :
( ~ ( wolf @ W )
| ~ ( fox @ F )
| ~ ( eats @ W @ F ) )
& ! [F: $i,W: $i] :
( ( msmaller @ F @ W )
| ~ ( fox @ F )
| ~ ( wolf @ W ) )
& ! [B: $i,F: $i] :
( ( msmaller @ B @ F )
| ~ ( bird @ B )
| ~ ( fox @ F ) )
& ! [S: $i,B: $i] :
( ( msmaller @ S @ B )
| ~ ( snail @ S )
| ~ ( bird @ B ) )
& ! [A: $i,P: $i,S: $i,O: $i] :
( ( eats @ A @ P )
| ( eats @ A @ S )
| ~ ( animal @ A )
| ~ ( plant @ P )
| ~ ( animal @ S )
| ~ ( plant @ O )
| ~ ( msmaller @ S @ A )
| ~ ( eats @ S @ O ) )
& ! [X: $i] :
( ( plant @ X )
| ~ ( grain @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( snail @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( bird @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( wolf @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( fox @ X ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( snail @ a_snail )
& ( grain @ a_grain ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [A: $i,E: $i,G: $i] :
( ~ ( animal @ A )
| ~ ( animal @ E )
| ~ ( grain @ G )
| ~ ( eats @ A @ E )
| ~ ( eats @ E @ G ) )
& ! [S: $i] :
( ( eats @ S @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [S: $i] :
( ( plant @ ( sf @ S ) )
| ~ ( snail @ S ) )
& ! [B: $i,S: $i] :
( ~ ( bird @ B )
| ~ ( snail @ S )
| ~ ( eats @ B @ S ) )
& ! [W: $i,G: $i] :
( ~ ( wolf @ W )
| ~ ( grain @ G )
| ~ ( eats @ W @ G ) )
& ! [F: $i,W: $i] :
( ~ ( wolf @ W )
| ~ ( fox @ F )
| ~ ( eats @ W @ F ) )
& ! [F: $i,W: $i] :
( ( msmaller @ F @ W )
| ~ ( fox @ F )
| ~ ( wolf @ W ) )
& ! [B: $i,F: $i] :
( ( msmaller @ B @ F )
| ~ ( bird @ B )
| ~ ( fox @ F ) )
& ! [S: $i,B: $i] :
( ( msmaller @ S @ B )
| ~ ( snail @ S )
| ~ ( bird @ B ) )
& ! [A: $i,P: $i,S: $i,O: $i] :
( ( eats @ A @ P )
| ( eats @ A @ S )
| ~ ( animal @ A )
| ~ ( plant @ P )
| ~ ( animal @ S )
| ~ ( plant @ O )
| ~ ( msmaller @ S @ A )
| ~ ( eats @ S @ O ) )
& ! [X: $i] :
( ( plant @ X )
| ~ ( grain @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( snail @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( bird @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( wolf @ X ) )
& ! [X: $i] :
( ( animal @ X )
| ~ ( fox @ X ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( snail @ a_snail )
& ( grain @ a_grain ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( animal @ SX0 )
| ~ ( animal @ SX1 )
| ~ ( grain @ SX2 )
| ~ ( eats @ SX0 @ SX1 )
| ~ ( eats @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( eats @ SX0 @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( animal @ SX0 )
| ~ ( animal @ SX1 )
| ~ ( grain @ SX2 )
| ~ ( eats @ SX0 @ SX1 )
| ~ ( eats @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( eats @ SX0 @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( animal @ SX0 )
| ~ ( animal @ SX1 )
| ~ ( grain @ SX2 )
| ~ ( eats @ SX0 @ SX1 )
| ~ ( eats @ SX1 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( eats @ SX0 @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( animal @ SX0 )
| ~ ( animal @ SX1 )
| ~ ( grain @ SX2 )
| ~ ( eats @ SX0 @ SX1 )
| ~ ( eats @ SX1 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( eats @ SX0 @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: $i] :
( ( ! [SY26: $i,SY27: $i] :
( ~ ( animal @ SV1 )
| ~ ( animal @ SY26 )
| ~ ( grain @ SY27 )
| ~ ( eats @ SV1 @ SY26 )
| ~ ( eats @ SY26 @ SY27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ! [SX0: $i] :
( ( eats @ SX0 @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: $i,SV1: $i] :
( ( ! [SY28: $i] :
( ~ ( animal @ SV1 )
| ~ ( animal @ SV2 )
| ~ ( grain @ SY28 )
| ~ ( eats @ SV1 @ SV2 )
| ~ ( eats @ SV2 @ SY28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ! [SX0: $i] :
( ( eats @ SX0 @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ~ ( animal @ SV1 )
| ~ ( animal @ SV2 )
| ~ ( grain @ SV3 )
| ~ ( eats @ SV1 @ SV2 )
| ~ ( eats @ SV2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ! [SX0: $i] :
( ( eats @ SX0 @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( plant @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( animal @ SV1 )
| ~ ( animal @ SV2 )
| ~ ( grain @ SV3 )
| ~ ( eats @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( eats @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
! [SV4: $i] :
( ( ( eats @ SV4 @ ( sf @ SV4 ) )
| ~ ( snail @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ! [SX0: $i] :
( ( plant @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( animal @ SV1 )
| ~ ( animal @ SV2 )
| ~ ( grain @ SV3 ) )
= $true )
| ( ( ~ ( eats @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( eats @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV4: $i] :
( ( ( eats @ SV4 @ ( sf @ SV4 ) )
= $true )
| ( ( ~ ( snail @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ! [SX0: $i] :
( ( plant @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( animal @ SV1 )
| ~ ( animal @ SV2 ) )
= $true )
| ( ( ~ ( grain @ SV3 ) )
= $true )
| ( ( ~ ( eats @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( eats @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(29,plain,
! [SV4: $i] :
( ( ( snail @ SV4 )
= $false )
| ( ( eats @ SV4 @ ( sf @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(30,plain,
( ( ! [SX0: $i] :
( ( plant @ ( sf @ SX0 ) )
| ~ ( snail @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(31,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( ~ ( animal @ SV1 ) )
= $true )
| ( ( ~ ( animal @ SV2 ) )
= $true )
| ( ( ~ ( grain @ SV3 ) )
= $true )
| ( ( ~ ( eats @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( eats @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV5: $i] :
( ( ( plant @ ( sf @ SV5 ) )
| ~ ( snail @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( animal @ SV1 )
= $false )
| ( ( ~ ( animal @ SV2 ) )
= $true )
| ( ( ~ ( grain @ SV3 ) )
= $true )
| ( ( ~ ( eats @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( eats @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV5: $i] :
( ( ( plant @ ( sf @ SV5 ) )
= $true )
| ( ( ~ ( snail @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(37,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(38,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(39,plain,
! [SV3: $i,SV1: $i,SV2: $i] :
( ( ( animal @ SV2 )
= $false )
| ( ( animal @ SV1 )
= $false )
| ( ( ~ ( grain @ SV3 ) )
= $true )
| ( ( ~ ( eats @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( eats @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV5: $i] :
( ( ( snail @ SV5 )
= $false )
| ( ( plant @ ( sf @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(41,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( bird @ SX0 )
| ~ ( snail @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(42,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV2: $i,SV1: $i,SV3: $i] :
( ( ( grain @ SV3 )
= $false )
| ( ( animal @ SV1 )
= $false )
| ( ( animal @ SV2 )
= $false )
| ( ( ~ ( eats @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( eats @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(44,plain,
! [SV6: $i] :
( ( ! [SY29: $i] :
( ~ ( bird @ SV6 )
| ~ ( snail @ SY29 )
| ~ ( eats @ SV6 @ SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(45,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(46,plain,
! [SV3: $i,SV2: $i,SV1: $i] :
( ( ( eats @ SV1 @ SV2 )
= $false )
| ( ( animal @ SV2 )
= $false )
| ( ( animal @ SV1 )
= $false )
| ( ( grain @ SV3 )
= $false )
| ( ( ~ ( eats @ SV2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV7: $i,SV6: $i] :
( ( ~ ( bird @ SV6 )
| ~ ( snail @ SV7 )
| ~ ( eats @ SV6 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(48,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(49,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[45]) ).
thf(50,plain,
! [SV1: $i,SV3: $i,SV2: $i] :
( ( ( eats @ SV2 @ SV3 )
= $false )
| ( ( grain @ SV3 )
= $false )
| ( ( animal @ SV1 )
= $false )
| ( ( animal @ SV2 )
= $false )
| ( ( eats @ SV1 @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(51,plain,
! [SV7: $i,SV6: $i] :
( ( ( ~ ( bird @ SV6 )
| ~ ( snail @ SV7 ) )
= $true )
| ( ( ~ ( eats @ SV6 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(52,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX0 )
| ~ ( grain @ SX1 )
| ~ ( eats @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(53,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(54,plain,
! [SV7: $i,SV6: $i] :
( ( ( ~ ( bird @ SV6 ) )
= $true )
| ( ( ~ ( snail @ SV7 ) )
= $true )
| ( ( ~ ( eats @ SV6 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(55,plain,
! [SV8: $i] :
( ( ! [SY30: $i] :
( ~ ( wolf @ SV8 )
| ~ ( grain @ SY30 )
| ~ ( eats @ SV8 @ SY30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(56,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(57,plain,
! [SV7: $i,SV6: $i] :
( ( ( bird @ SV6 )
= $false )
| ( ( ~ ( snail @ SV7 ) )
= $true )
| ( ( ~ ( eats @ SV6 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(58,plain,
! [SV9: $i,SV8: $i] :
( ( ~ ( wolf @ SV8 )
| ~ ( grain @ SV9 )
| ~ ( eats @ SV8 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(59,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(60,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(61,plain,
! [SV6: $i,SV7: $i] :
( ( ( snail @ SV7 )
= $false )
| ( ( bird @ SV6 )
= $false )
| ( ( ~ ( eats @ SV6 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV9: $i,SV8: $i] :
( ( ( ~ ( wolf @ SV8 )
| ~ ( grain @ SV9 ) )
= $true )
| ( ( ~ ( eats @ SV8 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(63,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( wolf @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( eats @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(64,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(65,plain,
! [SV7: $i,SV6: $i] :
( ( ( eats @ SV6 @ SV7 )
= $false )
| ( ( bird @ SV6 )
= $false )
| ( ( snail @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV9: $i,SV8: $i] :
( ( ( ~ ( wolf @ SV8 ) )
= $true )
| ( ( ~ ( grain @ SV9 ) )
= $true )
| ( ( ~ ( eats @ SV8 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(67,plain,
! [SV10: $i] :
( ( ! [SY31: $i] :
( ~ ( wolf @ SY31 )
| ~ ( fox @ SV10 )
| ~ ( eats @ SY31 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(68,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(69,plain,
! [SV9: $i,SV8: $i] :
( ( ( wolf @ SV8 )
= $false )
| ( ( ~ ( grain @ SV9 ) )
= $true )
| ( ( ~ ( eats @ SV8 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(70,plain,
! [SV10: $i,SV11: $i] :
( ( ~ ( wolf @ SV11 )
| ~ ( fox @ SV10 )
| ~ ( eats @ SV11 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(71,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(72,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(73,plain,
! [SV8: $i,SV9: $i] :
( ( ( grain @ SV9 )
= $false )
| ( ( wolf @ SV8 )
= $false )
| ( ( ~ ( eats @ SV8 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(74,plain,
! [SV10: $i,SV11: $i] :
( ( ( ~ ( wolf @ SV11 )
| ~ ( fox @ SV10 ) )
= $true )
| ( ( ~ ( eats @ SV11 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( fox @ SX0 )
| ~ ( wolf @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(76,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(77,plain,
! [SV9: $i,SV8: $i] :
( ( ( eats @ SV8 @ SV9 )
= $false )
| ( ( wolf @ SV8 )
= $false )
| ( ( grain @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(78,plain,
! [SV10: $i,SV11: $i] :
( ( ( ~ ( wolf @ SV11 ) )
= $true )
| ( ( ~ ( fox @ SV10 ) )
= $true )
| ( ( ~ ( eats @ SV11 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(79,plain,
! [SV12: $i] :
( ( ! [SY32: $i] :
( ( msmaller @ SV12 @ SY32 )
| ~ ( fox @ SV12 )
| ~ ( wolf @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(80,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(81,plain,
! [SV10: $i,SV11: $i] :
( ( ( wolf @ SV11 )
= $false )
| ( ( ~ ( fox @ SV10 ) )
= $true )
| ( ( ~ ( eats @ SV11 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(82,plain,
! [SV13: $i,SV12: $i] :
( ( ( msmaller @ SV12 @ SV13 )
| ~ ( fox @ SV12 )
| ~ ( wolf @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(83,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(84,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(85,plain,
! [SV11: $i,SV10: $i] :
( ( ( fox @ SV10 )
= $false )
| ( ( wolf @ SV11 )
= $false )
| ( ( ~ ( eats @ SV11 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(86,plain,
! [SV13: $i,SV12: $i] :
( ( ( ( msmaller @ SV12 @ SV13 )
| ~ ( fox @ SV12 ) )
= $true )
| ( ( ~ ( wolf @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(87,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( bird @ SX0 )
| ~ ( fox @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(88,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(89,plain,
! [SV10: $i,SV11: $i] :
( ( ( eats @ SV11 @ SV10 )
= $false )
| ( ( wolf @ SV11 )
= $false )
| ( ( fox @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(90,plain,
! [SV13: $i,SV12: $i] :
( ( ( msmaller @ SV12 @ SV13 )
= $true )
| ( ( ~ ( fox @ SV12 ) )
= $true )
| ( ( ~ ( wolf @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(91,plain,
! [SV14: $i] :
( ( ! [SY33: $i] :
( ( msmaller @ SV14 @ SY33 )
| ~ ( bird @ SV14 )
| ~ ( fox @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(92,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) )
| ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(93,plain,
! [SV13: $i,SV12: $i] :
( ( ( fox @ SV12 )
= $false )
| ( ( msmaller @ SV12 @ SV13 )
= $true )
| ( ( ~ ( wolf @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(94,plain,
! [SV15: $i,SV14: $i] :
( ( ( msmaller @ SV14 @ SV15 )
| ~ ( bird @ SV14 )
| ~ ( fox @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(95,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(96,plain,
( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(97,plain,
! [SV12: $i,SV13: $i] :
( ( ( wolf @ SV13 )
= $false )
| ( ( msmaller @ SV12 @ SV13 )
= $true )
| ( ( fox @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(98,plain,
! [SV15: $i,SV14: $i] :
( ( ( ( msmaller @ SV14 @ SV15 )
| ~ ( bird @ SV14 ) )
= $true )
| ( ( ~ ( fox @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(99,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( msmaller @ SX0 @ SX1 )
| ~ ( snail @ SX0 )
| ~ ( bird @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(100,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(101,plain,
! [SV15: $i,SV14: $i] :
( ( ( msmaller @ SV14 @ SV15 )
= $true )
| ( ( ~ ( bird @ SV14 ) )
= $true )
| ( ( ~ ( fox @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(102,plain,
! [SV16: $i] :
( ( ! [SY34: $i] :
( ( msmaller @ SV16 @ SY34 )
| ~ ( snail @ SV16 )
| ~ ( bird @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(103,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(104,plain,
! [SV15: $i,SV14: $i] :
( ( ( bird @ SV14 )
= $false )
| ( ( msmaller @ SV14 @ SV15 )
= $true )
| ( ( ~ ( fox @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(105,plain,
! [SV17: $i,SV16: $i] :
( ( ( msmaller @ SV16 @ SV17 )
| ~ ( snail @ SV16 )
| ~ ( bird @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(106,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(107,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(108,plain,
! [SV14: $i,SV15: $i] :
( ( ( fox @ SV15 )
= $false )
| ( ( msmaller @ SV14 @ SV15 )
= $true )
| ( ( bird @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(109,plain,
! [SV17: $i,SV16: $i] :
( ( ( ( msmaller @ SV16 @ SV17 )
| ~ ( snail @ SV16 ) )
= $true )
| ( ( ~ ( bird @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(110,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( eats @ SX0 @ SX1 )
| ( eats @ SX0 @ SX2 )
| ~ ( animal @ SX0 )
| ~ ( plant @ SX1 )
| ~ ( animal @ SX2 )
| ~ ( plant @ SX3 )
| ~ ( msmaller @ SX2 @ SX0 )
| ~ ( eats @ SX2 @ SX3 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(111,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(112,plain,
! [SV17: $i,SV16: $i] :
( ( ( msmaller @ SV16 @ SV17 )
= $true )
| ( ( ~ ( snail @ SV16 ) )
= $true )
| ( ( ~ ( bird @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(113,plain,
! [SV18: $i] :
( ( ! [SY35: $i,SY36: $i,SY37: $i] :
( ( eats @ SV18 @ SY35 )
| ( eats @ SV18 @ SY36 )
| ~ ( animal @ SV18 )
| ~ ( plant @ SY35 )
| ~ ( animal @ SY36 )
| ~ ( plant @ SY37 )
| ~ ( msmaller @ SY36 @ SV18 )
| ~ ( eats @ SY36 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(114,plain,
( ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(115,plain,
! [SV17: $i,SV16: $i] :
( ( ( snail @ SV16 )
= $false )
| ( ( msmaller @ SV16 @ SV17 )
= $true )
| ( ( ~ ( bird @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(116,plain,
! [SV19: $i,SV18: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ( eats @ SV18 @ SV19 )
| ( eats @ SV18 @ SY38 )
| ~ ( animal @ SV18 )
| ~ ( plant @ SV19 )
| ~ ( animal @ SY38 )
| ~ ( plant @ SY39 )
| ~ ( msmaller @ SY38 @ SV18 )
| ~ ( eats @ SY38 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(117,plain,
( ( ~ ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(118,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(119,plain,
! [SV16: $i,SV17: $i] :
( ( ( bird @ SV17 )
= $false )
| ( ( msmaller @ SV16 @ SV17 )
= $true )
| ( ( snail @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(120,plain,
! [SV20: $i,SV19: $i,SV18: $i] :
( ( ! [SY40: $i] :
( ( eats @ SV18 @ SV19 )
| ( eats @ SV18 @ SV20 )
| ~ ( animal @ SV18 )
| ~ ( plant @ SV19 )
| ~ ( animal @ SV20 )
| ~ ( plant @ SY40 )
| ~ ( msmaller @ SV20 @ SV18 )
| ~ ( eats @ SV20 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(121,plain,
( ( ! [SX0: $i] :
( ( plant @ SX0 )
| ~ ( grain @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(122,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(123,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i] :
( ( ( eats @ SV18 @ SV19 )
| ( eats @ SV18 @ SV20 )
| ~ ( animal @ SV18 )
| ~ ( plant @ SV19 )
| ~ ( animal @ SV20 )
| ~ ( plant @ SV21 )
| ~ ( msmaller @ SV20 @ SV18 )
| ~ ( eats @ SV20 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(124,plain,
! [SV22: $i] :
( ( ( plant @ SV22 )
| ~ ( grain @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(125,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
| ~ ( grain @ a_grain ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(126,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i] :
( ( ( ( eats @ SV18 @ SV19 )
| ( eats @ SV18 @ SV20 )
| ~ ( animal @ SV18 )
| ~ ( plant @ SV19 )
| ~ ( animal @ SV20 )
| ~ ( plant @ SV21 )
| ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(127,plain,
! [SV22: $i] :
( ( ( plant @ SV22 )
= $true )
| ( ( ~ ( grain @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(128,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(129,plain,
( ( ~ ( grain @ a_grain ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(130,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i] :
( ( ( ( eats @ SV18 @ SV19 )
| ( eats @ SV18 @ SV20 )
| ~ ( animal @ SV18 )
| ~ ( plant @ SV19 )
| ~ ( animal @ SV20 )
| ~ ( plant @ SV21 ) )
= $true )
| ( ( ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV22: $i] :
( ( ( grain @ SV22 )
= $false )
| ( ( plant @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(132,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(133,plain,
( ( grain @ a_grain )
= $true ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(134,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i] :
( ( ( ( eats @ SV18 @ SV19 )
| ( eats @ SV18 @ SV20 )
| ~ ( animal @ SV18 )
| ~ ( plant @ SV19 )
| ~ ( animal @ SV20 ) )
= $true )
| ( ( ~ ( plant @ SV21 ) )
= $true )
| ( ( ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(135,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
| ~ ( snail @ a_snail ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(136,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i] :
( ( ( ( eats @ SV18 @ SV19 )
| ( eats @ SV18 @ SV20 )
| ~ ( animal @ SV18 )
| ~ ( plant @ SV19 ) )
= $true )
| ( ( ~ ( animal @ SV20 ) )
= $true )
| ( ( ~ ( plant @ SV21 ) )
= $true )
| ( ( ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(137,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(138,plain,
( ( ~ ( snail @ a_snail ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(139,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i] :
( ( ( ( eats @ SV18 @ SV19 )
| ( eats @ SV18 @ SV20 )
| ~ ( animal @ SV18 ) )
= $true )
| ( ( ~ ( plant @ SV19 ) )
= $true )
| ( ( ~ ( animal @ SV20 ) )
= $true )
| ( ( ~ ( plant @ SV21 ) )
= $true )
| ( ( ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(140,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(141,plain,
( ( snail @ a_snail )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(142,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i] :
( ( ( ( eats @ SV18 @ SV19 )
| ( eats @ SV18 @ SV20 ) )
= $true )
| ( ( ~ ( animal @ SV18 ) )
= $true )
| ( ( ~ ( plant @ SV19 ) )
= $true )
| ( ( ~ ( animal @ SV20 ) )
= $true )
| ( ( ~ ( plant @ SV21 ) )
= $true )
| ( ( ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(143,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
| ~ ( bird @ a_bird ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(144,plain,
! [SV21: $i,SV20: $i,SV19: $i,SV18: $i] :
( ( ( eats @ SV18 @ SV19 )
= $true )
| ( ( eats @ SV18 @ SV20 )
= $true )
| ( ( ~ ( animal @ SV18 ) )
= $true )
| ( ( ~ ( plant @ SV19 ) )
= $true )
| ( ( ~ ( animal @ SV20 ) )
= $true )
| ( ( ~ ( plant @ SV21 ) )
= $true )
| ( ( ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(145,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(146,plain,
( ( ~ ( bird @ a_bird ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(147,plain,
! [SV21: $i,SV19: $i,SV20: $i,SV18: $i] :
( ( ( animal @ SV18 )
= $false )
| ( ( eats @ SV18 @ SV20 )
= $true )
| ( ( eats @ SV18 @ SV19 )
= $true )
| ( ( ~ ( plant @ SV19 ) )
= $true )
| ( ( ~ ( animal @ SV20 ) )
= $true )
| ( ( ~ ( plant @ SV21 ) )
= $true )
| ( ( ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(148,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(149,plain,
( ( bird @ a_bird )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(150,plain,
! [SV21: $i,SV20: $i,SV18: $i,SV19: $i] :
( ( ( plant @ SV19 )
= $false )
| ( ( eats @ SV18 @ SV19 )
= $true )
| ( ( eats @ SV18 @ SV20 )
= $true )
| ( ( animal @ SV18 )
= $false )
| ( ( ~ ( animal @ SV20 ) )
= $true )
| ( ( ~ ( plant @ SV21 ) )
= $true )
| ( ( ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(151,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
| ~ ( fox @ a_fox ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(152,plain,
! [SV21: $i,SV19: $i,SV18: $i,SV20: $i] :
( ( ( animal @ SV20 )
= $false )
| ( ( animal @ SV18 )
= $false )
| ( ( eats @ SV18 @ SV20 )
= $true )
| ( ( eats @ SV18 @ SV19 )
= $true )
| ( ( plant @ SV19 )
= $false )
| ( ( ~ ( plant @ SV21 ) )
= $true )
| ( ( ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(153,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(154,plain,
( ( ~ ( fox @ a_fox ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(155,plain,
! [SV20: $i,SV18: $i,SV19: $i,SV21: $i] :
( ( ( plant @ SV21 )
= $false )
| ( ( plant @ SV19 )
= $false )
| ( ( eats @ SV18 @ SV19 )
= $true )
| ( ( eats @ SV18 @ SV20 )
= $true )
| ( ( animal @ SV18 )
= $false )
| ( ( animal @ SV20 )
= $false )
| ( ( ~ ( msmaller @ SV20 @ SV18 ) )
= $true )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(156,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(157,plain,
( ( fox @ a_fox )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(158,plain,
! [SV21: $i,SV19: $i,SV18: $i,SV20: $i] :
( ( ( msmaller @ SV20 @ SV18 )
= $false )
| ( ( animal @ SV20 )
= $false )
| ( ( animal @ SV18 )
= $false )
| ( ( eats @ SV18 @ SV20 )
= $true )
| ( ( eats @ SV18 @ SV19 )
= $true )
| ( ( plant @ SV19 )
= $false )
| ( ( plant @ SV21 )
= $false )
| ( ( ~ ( eats @ SV20 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(159,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
| ~ ( wolf @ a_wolf ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(160,plain,
! [SV18: $i,SV19: $i,SV21: $i,SV20: $i] :
( ( ( eats @ SV20 @ SV21 )
= $false )
| ( ( plant @ SV21 )
= $false )
| ( ( plant @ SV19 )
= $false )
| ( ( eats @ SV18 @ SV19 )
= $true )
| ( ( eats @ SV18 @ SV20 )
= $true )
| ( ( animal @ SV18 )
= $false )
| ( ( animal @ SV20 )
= $false )
| ( ( msmaller @ SV20 @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(161,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(162,plain,
( ( ~ ( wolf @ a_wolf ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(163,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(164,plain,
( ( wolf @ a_wolf )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(165,plain,
( ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(166,plain,
( ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(167,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(168,plain,
( ( ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( snail @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(169,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(170,plain,
! [SV23: $i] :
( ( ( animal @ SV23 )
| ~ ( snail @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(171,plain,
( ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(172,plain,
! [SV23: $i] :
( ( ( animal @ SV23 )
= $true )
| ( ( ~ ( snail @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(173,plain,
( ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(174,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(175,plain,
! [SV23: $i] :
( ( ( snail @ SV23 )
= $false )
| ( ( animal @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(176,plain,
( ( ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( bird @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(177,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(178,plain,
! [SV24: $i] :
( ( ( animal @ SV24 )
| ~ ( bird @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(179,plain,
( ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) )
| ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(180,plain,
! [SV24: $i] :
( ( ( animal @ SV24 )
= $true )
| ( ( ~ ( bird @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(181,plain,
( ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(182,plain,
( ( ~ ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(183,plain,
! [SV24: $i] :
( ( ( bird @ SV24 )
= $false )
| ( ( animal @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(184,plain,
( ( ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( wolf @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(185,plain,
( ( ! [SX0: $i] :
( ( animal @ SX0 )
| ~ ( fox @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(186,plain,
! [SV25: $i] :
( ( ( animal @ SV25 )
| ~ ( wolf @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(187,plain,
! [SV26: $i] :
( ( ( animal @ SV26 )
| ~ ( fox @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(188,plain,
! [SV25: $i] :
( ( ( animal @ SV25 )
= $true )
| ( ( ~ ( wolf @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(189,plain,
! [SV26: $i] :
( ( ( animal @ SV26 )
= $true )
| ( ( ~ ( fox @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(190,plain,
! [SV25: $i] :
( ( ( wolf @ SV25 )
= $false )
| ( ( animal @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(191,plain,
! [SV26: $i] :
( ( ( fox @ SV26 )
= $false )
| ( ( animal @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(192,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,191,190,183,175,164,160,157,149,141,133,131,119,108,97,89,77,65,50,40]) ).
thf(193,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ094^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 02:27:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.38
% 0.12/0.38 No.of.Axioms: 0
% 0.12/0.38
% 0.12/0.38 Length.of.Defs: 0
% 0.12/0.38
% 0.12/0.38 Contains.Choice.Funs: false
% 0.19/0.42 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).......................
% 0.43/0.61
% 0.43/0.61 ********************************
% 0.43/0.61 * All subproblems solved! *
% 0.43/0.61 ********************************
% 0.43/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:192,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.46/0.63
% 0.46/0.63 %**** Beginning of derivation protocol ****
% 0.46/0.63 % SZS output start CNFRefutation
% See solution above
% 0.46/0.63
% 0.46/0.63 %**** End of derivation protocol ****
% 0.46/0.63 %**** no. of clauses in derivation: 193 ****
% 0.46/0.63 %**** clause counter: 192 ****
% 0.46/0.63
% 0.46/0.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:192,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------