%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ094^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:20:52 AM UTC 2026
% Result : Theorem 0.10s 0.26s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 142 ( 30 unt; 0 typ; 9 def)
% Number of atoms : 1658 ( 401 equ; 0 cnn)
% Maximal formula atoms : 55 ( 11 avg)
% Number of connectives : 1680 ( 446 ~; 399 |; 114 &; 712 @)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 25 usr; 16 con; 0-2 aty)
% Number of variables : 230 ( 0 sgn 230 !; 0 ?; 230 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
eats: $i > $i > $o ).
thf(func_def_1,type,
grain: $i > $o ).
thf(func_def_2,type,
animal: $i > $o ).
thf(func_def_3,type,
snail: $i > $o ).
thf(func_def_4,type,
sf: $i > $i ).
thf(func_def_5,type,
plant: $i > $o ).
thf(func_def_6,type,
bird: $i > $o ).
thf(func_def_7,type,
wolf: $i > $o ).
thf(func_def_8,type,
fox: $i > $o ).
thf(func_def_9,type,
msmaller: $i > $i > $o ).
thf(f1,conjecture,
~ ( ! [X0: $i] :
( ~ ( wolf @ X0 )
| ( animal @ X0 ) )
& ! [X9: $i,X8: $i,X1: $i] :
( ~ ( animal @ X9 )
| ~ ( eats @ X9 @ X8 )
| ~ ( grain @ X8 )
| ~ ( eats @ X1 @ X9 )
| ~ ( animal @ X1 ) )
& ( wolf @ a_wolf )
& ! [X1: $i,X4: $i,X2: $i,X3: $i] :
( ( eats @ X1 @ X3 )
| ~ ( animal @ X1 )
| ~ ( plant @ X4 )
| ~ ( eats @ X3 @ X4 )
| ( eats @ X1 @ X2 )
| ~ ( plant @ X2 )
| ~ ( msmaller @ X3 @ X1 )
| ~ ( animal @ X3 ) )
& ! [X6: $i,X5: $i] :
( ( msmaller @ X5 @ X6 )
| ~ ( fox @ X6 )
| ~ ( bird @ X5 ) )
& ( snail @ a_snail )
& ! [X3: $i,X5: $i] :
( ~ ( bird @ X5 )
| ( msmaller @ X3 @ X5 )
| ~ ( snail @ X3 ) )
& ( fox @ a_fox )
& ! [X0: $i] :
( ~ ( bird @ X0 )
| ( animal @ X0 ) )
& ( grain @ a_grain )
& ( bird @ a_bird )
& ! [X3: $i] :
( ( plant @ ( sf @ X3 ) )
| ~ ( snail @ X3 ) )
& ! [X5: $i,X3: $i] :
( ~ ( bird @ X5 )
| ~ ( snail @ X3 )
| ~ ( eats @ X5 @ X3 ) )
& ! [X6: $i,X7: $i] :
( ( msmaller @ X6 @ X7 )
| ~ ( wolf @ X7 )
| ~ ( fox @ X6 ) )
& ! [X8: $i,X7: $i] :
( ~ ( eats @ X7 @ X8 )
| ~ ( grain @ X8 )
| ~ ( wolf @ X7 ) )
& ! [X0: $i] :
( ( animal @ X0 )
| ~ ( snail @ X0 ) )
& ! [X3: $i] :
( ( eats @ X3 @ ( sf @ X3 ) )
| ~ ( snail @ X3 ) )
& ! [X0: $i] :
( ( plant @ X0 )
| ~ ( grain @ X0 ) )
& ! [X6: $i,X7: $i] :
( ~ ( fox @ X6 )
| ~ ( eats @ X7 @ X6 )
| ~ ( wolf @ X7 ) )
& ! [X0: $i] :
( ~ ( fox @ X0 )
| ( animal @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPUZ031_2) ).
thf(f2,negated_conjecture,
~ ~ ( ! [X0: $i] :
( ~ ( wolf @ X0 )
| ( animal @ X0 ) )
& ! [X9: $i,X8: $i,X1: $i] :
( ~ ( animal @ X9 )
| ~ ( eats @ X9 @ X8 )
| ~ ( grain @ X8 )
| ~ ( eats @ X1 @ X9 )
| ~ ( animal @ X1 ) )
& ( wolf @ a_wolf )
& ! [X1: $i,X4: $i,X2: $i,X3: $i] :
( ( eats @ X1 @ X3 )
| ~ ( animal @ X1 )
| ~ ( plant @ X4 )
| ~ ( eats @ X3 @ X4 )
| ( eats @ X1 @ X2 )
| ~ ( plant @ X2 )
| ~ ( msmaller @ X3 @ X1 )
| ~ ( animal @ X3 ) )
& ! [X6: $i,X5: $i] :
( ( msmaller @ X5 @ X6 )
| ~ ( fox @ X6 )
| ~ ( bird @ X5 ) )
& ( snail @ a_snail )
& ! [X3: $i,X5: $i] :
( ~ ( bird @ X5 )
| ( msmaller @ X3 @ X5 )
| ~ ( snail @ X3 ) )
& ( fox @ a_fox )
& ! [X0: $i] :
( ~ ( bird @ X0 )
| ( animal @ X0 ) )
& ( grain @ a_grain )
& ( bird @ a_bird )
& ! [X3: $i] :
( ( plant @ ( sf @ X3 ) )
| ~ ( snail @ X3 ) )
& ! [X5: $i,X3: $i] :
( ~ ( bird @ X5 )
| ~ ( snail @ X3 )
| ~ ( eats @ X5 @ X3 ) )
& ! [X6: $i,X7: $i] :
( ( msmaller @ X6 @ X7 )
| ~ ( wolf @ X7 )
| ~ ( fox @ X6 ) )
& ! [X8: $i,X7: $i] :
( ~ ( eats @ X7 @ X8 )
| ~ ( grain @ X8 )
| ~ ( wolf @ X7 ) )
& ! [X0: $i] :
( ( animal @ X0 )
| ~ ( snail @ X0 ) )
& ! [X3: $i] :
( ( eats @ X3 @ ( sf @ X3 ) )
| ~ ( snail @ X3 ) )
& ! [X0: $i] :
( ( plant @ X0 )
| ~ ( grain @ X0 ) )
& ! [X6: $i,X7: $i] :
( ~ ( fox @ X6 )
| ~ ( eats @ X7 @ X6 )
| ~ ( wolf @ X7 ) )
& ! [X0: $i] :
( ~ ( fox @ X0 )
| ( animal @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ~ ( ! [X0: $i] :
( ~ ( wolf @ X0 )
| ( animal @ X0 ) )
& ! [X1: $i,X2: $i,X3: $i] :
( ~ ( animal @ X1 )
| ~ ( eats @ X1 @ X2 )
| ~ ( grain @ X2 )
| ~ ( eats @ X3 @ X1 )
| ~ ( animal @ X3 ) )
& ( wolf @ a_wolf )
& ! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ( eats @ X4 @ X7 )
| ~ ( animal @ X4 )
| ~ ( plant @ X5 )
| ~ ( eats @ X7 @ X5 )
| ( eats @ X4 @ X6 )
| ~ ( plant @ X6 )
| ~ ( msmaller @ X7 @ X4 )
| ~ ( animal @ X7 ) )
& ! [X8: $i,X9: $i] :
( ( msmaller @ X9 @ X8 )
| ~ ( fox @ X8 )
| ~ ( bird @ X9 ) )
& ( snail @ a_snail )
& ! [X10: $i,X11: $i] :
( ~ ( bird @ X11 )
| ( msmaller @ X10 @ X11 )
| ~ ( snail @ X10 ) )
& ( fox @ a_fox )
& ! [X12: $i] :
( ~ ( bird @ X12 )
| ( animal @ X12 ) )
& ( grain @ a_grain )
& ( bird @ a_bird )
& ! [X13: $i] :
( ( plant @ ( sf @ X13 ) )
| ~ ( snail @ X13 ) )
& ! [X14: $i,X15: $i] :
( ~ ( bird @ X14 )
| ~ ( snail @ X15 )
| ~ ( eats @ X14 @ X15 ) )
& ! [X16: $i,X17: $i] :
( ( msmaller @ X16 @ X17 )
| ~ ( wolf @ X17 )
| ~ ( fox @ X16 ) )
& ! [X18: $i,X19: $i] :
( ~ ( eats @ X19 @ X18 )
| ~ ( grain @ X18 )
| ~ ( wolf @ X19 ) )
& ! [X20: $i] :
( ( animal @ X20 )
| ~ ( snail @ X20 ) )
& ! [X21: $i] :
( ( eats @ X21 @ ( sf @ X21 ) )
| ~ ( snail @ X21 ) )
& ! [X22: $i] :
( ( plant @ X22 )
| ~ ( grain @ X22 ) )
& ! [X23: $i,X24: $i] :
( ~ ( fox @ X23 )
| ~ ( eats @ X24 @ X23 )
| ~ ( wolf @ X24 ) )
& ! [X25: $i] :
( ~ ( fox @ X25 )
| ( animal @ X25 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ~ ( ! [X0: $i] :
( ( ( wolf @ X0 )
!= $true )
| ( ( animal @ X0 )
= $true ) )
& ! [X1: $i,X2: $i,X3: $i] :
( ( ( animal @ X1 )
!= $true )
| ( ( eats @ X1 @ X2 )
!= $true )
| ( $true
!= ( grain @ X2 ) )
| ( $true
!= ( eats @ X3 @ X1 ) )
| ( ( animal @ X3 )
!= $true ) )
& ( ( wolf @ a_wolf )
= $true )
& ! [X4: $i,X5: $i,X6: $i,X7: $i] :
( ( $true
= ( eats @ X4 @ X7 ) )
| ( $true
!= ( animal @ X4 ) )
| ( $true
!= ( plant @ X5 ) )
| ( $true
!= ( eats @ X7 @ X5 ) )
| ( $true
= ( eats @ X4 @ X6 ) )
| ( $true
!= ( plant @ X6 ) )
| ( $true
!= ( msmaller @ X7 @ X4 ) )
| ( $true
!= ( animal @ X7 ) ) )
& ! [X8: $i,X9: $i] :
( ( $true
= ( msmaller @ X9 @ X8 ) )
| ( ( fox @ X8 )
!= $true )
| ( ( bird @ X9 )
!= $true ) )
& ( ( snail @ a_snail )
= $true )
& ! [X10: $i,X11: $i] :
( ( $true
!= ( bird @ X11 ) )
| ( $true
= ( msmaller @ X10 @ X11 ) )
| ( $true
!= ( snail @ X10 ) ) )
& ( ( fox @ a_fox )
= $true )
& ! [X12: $i] :
( ( $true
!= ( bird @ X12 ) )
| ( $true
= ( animal @ X12 ) ) )
& ( ( grain @ a_grain )
= $true )
& ( ( bird @ a_bird )
= $true )
& ! [X13: $i] :
( ( $true
= ( plant @ ( sf @ X13 ) ) )
| ( $true
!= ( snail @ X13 ) ) )
& ! [X14: $i,X15: $i] :
( ( ( bird @ X14 )
!= $true )
| ( $true
!= ( snail @ X15 ) )
| ( $true
!= ( eats @ X14 @ X15 ) ) )
& ! [X16: $i,X17: $i] :
( ( ( msmaller @ X16 @ X17 )
= $true )
| ( $true
!= ( wolf @ X17 ) )
| ( $true
!= ( fox @ X16 ) ) )
& ! [X18: $i,X19: $i] :
( ( $true
!= ( eats @ X19 @ X18 ) )
| ( $true
!= ( grain @ X18 ) )
| ( $true
!= ( wolf @ X19 ) ) )
& ! [X20: $i] :
( ( $true
= ( animal @ X20 ) )
| ( $true
!= ( snail @ X20 ) ) )
& ! [X21: $i] :
( ( ( eats @ X21 @ ( sf @ X21 ) )
= $true )
| ( $true
!= ( snail @ X21 ) ) )
& ! [X22: $i] :
( ( $true
= ( plant @ X22 ) )
| ( $true
!= ( grain @ X22 ) ) )
& ! [X23: $i,X24: $i] :
( ( ( fox @ X23 )
!= $true )
| ( $true
!= ( eats @ X24 @ X23 ) )
| ( $true
!= ( wolf @ X24 ) ) )
& ! [X25: $i] :
( ( $true
!= ( fox @ X25 ) )
| ( $true
= ( animal @ X25 ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ! [X5: $i,X7: $i,X6: $i,X4: $i] :
( ( $true
!= ( plant @ X5 ) )
| ( $true
!= ( animal @ X4 ) )
| ( $true
!= ( plant @ X6 ) )
| ( $true
= ( eats @ X4 @ X7 ) )
| ( $true
!= ( animal @ X7 ) )
| ( $true
= ( eats @ X4 @ X6 ) )
| ( $true
!= ( eats @ X7 @ X5 ) )
| ( $true
!= ( msmaller @ X7 @ X4 ) ) )
& ! [X25: $i] :
( ( $true
!= ( fox @ X25 ) )
| ( $true
= ( animal @ X25 ) ) )
& ! [X0: $i] :
( ( ( wolf @ X0 )
!= $true )
| ( ( animal @ X0 )
= $true ) )
& ! [X14: $i,X15: $i] :
( ( $true
!= ( eats @ X14 @ X15 ) )
| ( $true
!= ( snail @ X15 ) )
| ( ( bird @ X14 )
!= $true ) )
& ( ( snail @ a_snail )
= $true )
& ! [X22: $i] :
( ( $true
!= ( grain @ X22 ) )
| ( $true
= ( plant @ X22 ) ) )
& ! [X1: $i,X3: $i,X2: $i] :
( ( ( eats @ X1 @ X2 )
!= $true )
| ( $true
!= ( grain @ X2 ) )
| ( ( animal @ X1 )
!= $true )
| ( ( animal @ X3 )
!= $true )
| ( $true
!= ( eats @ X3 @ X1 ) ) )
& ! [X23: $i,X24: $i] :
( ( ( fox @ X23 )
!= $true )
| ( $true
!= ( wolf @ X24 ) )
| ( $true
!= ( eats @ X24 @ X23 ) ) )
& ! [X12: $i] :
( ( $true
= ( animal @ X12 ) )
| ( $true
!= ( bird @ X12 ) ) )
& ( ( wolf @ a_wolf )
= $true )
& ! [X13: $i] :
( ( $true
!= ( snail @ X13 ) )
| ( $true
= ( plant @ ( sf @ X13 ) ) ) )
& ( ( fox @ a_fox )
= $true )
& ! [X18: $i,X19: $i] :
( ( $true
!= ( grain @ X18 ) )
| ( $true
!= ( eats @ X19 @ X18 ) )
| ( $true
!= ( wolf @ X19 ) ) )
& ( ( grain @ a_grain )
= $true )
& ! [X20: $i] :
( ( $true
!= ( snail @ X20 ) )
| ( $true
= ( animal @ X20 ) ) )
& ! [X16: $i,X17: $i] :
( ( ( msmaller @ X16 @ X17 )
= $true )
| ( $true
!= ( fox @ X16 ) )
| ( $true
!= ( wolf @ X17 ) ) )
& ( ( bird @ a_bird )
= $true )
& ! [X11: $i,X10: $i] :
( ( $true
!= ( snail @ X10 ) )
| ( $true
!= ( bird @ X11 ) )
| ( $true
= ( msmaller @ X10 @ X11 ) ) )
& ! [X21: $i] :
( ( ( eats @ X21 @ ( sf @ X21 ) )
= $true )
| ( $true
!= ( snail @ X21 ) ) )
& ! [X8: $i,X9: $i] :
( ( ( bird @ X9 )
!= $true )
| ( $true
= ( msmaller @ X9 @ X8 ) )
| ( ( fox @ X8 )
!= $true ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( plant @ X0 )
!= $true )
| ( ( animal @ X3 )
!= $true )
| ( ( plant @ X2 )
!= $true )
| ( $true
= ( eats @ X3 @ X1 ) )
| ( ( animal @ X1 )
!= $true )
| ( ( eats @ X3 @ X2 )
= $true )
| ( $true
!= ( eats @ X1 @ X0 ) )
| ( $true
!= ( msmaller @ X1 @ X3 ) ) )
& ! [X4: $i] :
( ( ( fox @ X4 )
!= $true )
| ( $true
= ( animal @ X4 ) ) )
& ! [X5: $i] :
( ( $true
!= ( wolf @ X5 ) )
| ( $true
= ( animal @ X5 ) ) )
& ! [X6: $i,X7: $i] :
( ( $true
!= ( eats @ X6 @ X7 ) )
| ( $true
!= ( snail @ X7 ) )
| ( $true
!= ( bird @ X6 ) ) )
& ( ( snail @ a_snail )
= $true )
& ! [X8: $i] :
( ( ( grain @ X8 )
!= $true )
| ( $true
= ( plant @ X8 ) ) )
& ! [X9: $i,X10: $i,X11: $i] :
( ( $true
!= ( eats @ X9 @ X11 ) )
| ( $true
!= ( grain @ X11 ) )
| ( ( animal @ X9 )
!= $true )
| ( $true
!= ( animal @ X10 ) )
| ( $true
!= ( eats @ X10 @ X9 ) ) )
& ! [X12: $i,X13: $i] :
( ( ( fox @ X12 )
!= $true )
| ( $true
!= ( wolf @ X13 ) )
| ( $true
!= ( eats @ X13 @ X12 ) ) )
& ! [X14: $i] :
( ( $true
= ( animal @ X14 ) )
| ( ( bird @ X14 )
!= $true ) )
& ( ( wolf @ a_wolf )
= $true )
& ! [X15: $i] :
( ( $true
!= ( snail @ X15 ) )
| ( $true
= ( plant @ ( sf @ X15 ) ) ) )
& ( ( fox @ a_fox )
= $true )
& ! [X16: $i,X17: $i] :
( ( $true
!= ( grain @ X16 ) )
| ( $true
!= ( eats @ X17 @ X16 ) )
| ( $true
!= ( wolf @ X17 ) ) )
& ( ( grain @ a_grain )
= $true )
& ! [X18: $i] :
( ( $true
!= ( snail @ X18 ) )
| ( $true
= ( animal @ X18 ) ) )
& ! [X19: $i,X20: $i] :
( ( $true
= ( msmaller @ X19 @ X20 ) )
| ( ( fox @ X19 )
!= $true )
| ( $true
!= ( wolf @ X20 ) ) )
& ( ( bird @ a_bird )
= $true )
& ! [X21: $i,X22: $i] :
( ( $true
!= ( snail @ X22 ) )
| ( ( bird @ X21 )
!= $true )
| ( $true
= ( msmaller @ X22 @ X21 ) ) )
& ! [X23: $i] :
( ( $true
= ( eats @ X23 @ ( sf @ X23 ) ) )
| ( $true
!= ( snail @ X23 ) ) )
& ! [X24: $i,X25: $i] :
( ( $true
!= ( bird @ X25 ) )
| ( $true
= ( msmaller @ X25 @ X24 ) )
| ( $true
!= ( fox @ X24 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
! [X24: $i,X25: $i] :
( ( $true
!= ( fox @ X24 ) )
| ( $true
!= ( bird @ X25 ) )
| ( $true
= ( msmaller @ X25 @ X24 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f8,plain,
! [X23: $i] :
( ( $true
!= ( snail @ X23 ) )
| ( $true
= ( eats @ X23 @ ( sf @ X23 ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f9,plain,
! [X21: $i,X22: $i] :
( ( $true
!= ( snail @ X22 ) )
| ( ( bird @ X21 )
!= $true )
| ( $true
= ( msmaller @ X22 @ X21 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f10,plain,
( ( bird @ a_bird )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f11,plain,
! [X19: $i,X20: $i] :
( ( $true
!= ( wolf @ X20 ) )
| ( $true
= ( msmaller @ X19 @ X20 ) )
| ( ( fox @ X19 )
!= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f12,plain,
! [X18: $i] :
( ( $true
!= ( snail @ X18 ) )
| ( $true
= ( animal @ X18 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f13,plain,
( ( grain @ a_grain )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f14,plain,
! [X16: $i,X17: $i] :
( ( $true
!= ( eats @ X17 @ X16 ) )
| ( $true
!= ( wolf @ X17 ) )
| ( $true
!= ( grain @ X16 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f15,plain,
( ( fox @ a_fox )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f16,plain,
! [X15: $i] :
( ( $true
!= ( snail @ X15 ) )
| ( $true
= ( plant @ ( sf @ X15 ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f17,plain,
( ( wolf @ a_wolf )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f18,plain,
! [X14: $i] :
( ( ( bird @ X14 )
!= $true )
| ( $true
= ( animal @ X14 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f19,plain,
! [X12: $i,X13: $i] :
( ( $true
!= ( eats @ X13 @ X12 ) )
| ( ( fox @ X12 )
!= $true )
| ( $true
!= ( wolf @ X13 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f20,plain,
! [X10: $i,X11: $i,X9: $i] :
( ( $true
!= ( eats @ X10 @ X9 ) )
| ( $true
!= ( eats @ X9 @ X11 ) )
| ( ( animal @ X9 )
!= $true )
| ( $true
!= ( animal @ X10 ) )
| ( $true
!= ( grain @ X11 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f21,plain,
! [X8: $i] :
( ( ( grain @ X8 )
!= $true )
| ( $true
= ( plant @ X8 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f22,plain,
( ( snail @ a_snail )
= $true ),
inference(cnf_transformation,[],[f6]) ).
thf(f23,plain,
! [X6: $i,X7: $i] :
( ( $true
!= ( eats @ X6 @ X7 ) )
| ( $true
!= ( bird @ X6 ) )
| ( $true
!= ( snail @ X7 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f24,plain,
! [X5: $i] :
( ( $true
!= ( wolf @ X5 ) )
| ( $true
= ( animal @ X5 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f25,plain,
! [X4: $i] :
( ( ( fox @ X4 )
!= $true )
| ( $true
= ( animal @ X4 ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( msmaller @ X1 @ X3 ) )
| ( ( plant @ X2 )
!= $true )
| ( $true
= ( eats @ X3 @ X1 ) )
| ( ( plant @ X0 )
!= $true )
| ( ( animal @ X1 )
!= $true )
| ( ( animal @ X3 )
!= $true )
| ( $true
!= ( eats @ X1 @ X0 ) )
| ( ( eats @ X3 @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f29,plain,
( ( ( animal @ a_snail )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f12,f22]) ).
thf(f30,plain,
( ( animal @ a_snail )
= $true ),
inference(trivial_inequality_removal,[],[f29]) ).
thf(f31,plain,
( ( ( animal @ a_bird )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f18,f10]) ).
thf(f32,plain,
( ( animal @ a_bird )
= $true ),
inference(trivial_inequality_removal,[],[f31]) ).
thf(f33,plain,
( ( $true != $true )
| ( $true
= ( plant @ a_grain ) ) ),
inference(constrained_superposition,[],[f21,f13]) ).
thf(f34,plain,
( $true
= ( plant @ a_grain ) ),
inference(trivial_inequality_removal,[],[f33]) ).
thf(f35,plain,
( ( $true != $true )
| ( $true
= ( animal @ a_wolf ) ) ),
inference(constrained_superposition,[],[f24,f17]) ).
thf(f36,plain,
( $true
= ( animal @ a_wolf ) ),
inference(trivial_inequality_removal,[],[f35]) ).
thf(f37,plain,
( ( $true
= ( animal @ a_fox ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f25,f15]) ).
thf(f38,plain,
( $true
= ( animal @ a_fox ) ),
inference(trivial_inequality_removal,[],[f37]) ).
thf(f39,plain,
( ( $true
= ( plant @ ( sf @ a_snail ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f16,f22]) ).
thf(f40,plain,
( $true
= ( plant @ ( sf @ a_snail ) ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
( ( $true != $true )
| ( $true
= ( eats @ a_snail @ ( sf @ a_snail ) ) ) ),
inference(constrained_superposition,[],[f8,f22]) ).
thf(f42,plain,
( $true
= ( eats @ a_snail @ ( sf @ a_snail ) ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f43,plain,
! [X0: $i] :
( ( $true
= ( msmaller @ X0 @ a_fox ) )
| ( $true != $true )
| ( ( bird @ X0 )
!= $true ) ),
inference(constrained_superposition,[],[f7,f15]) ).
thf(f44,plain,
! [X0: $i] :
( ( ( bird @ X0 )
!= $true )
| ( $true
= ( msmaller @ X0 @ a_fox ) ) ),
inference(trivial_inequality_removal,[],[f43]) ).
thf(f45,plain,
( ( $true
= ( msmaller @ a_bird @ a_fox ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f44,f10]) ).
thf(f46,plain,
( $true
= ( msmaller @ a_bird @ a_fox ) ),
inference(trivial_inequality_removal,[],[f45]) ).
thf(f47,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( bird @ X0 )
!= $true )
| ( $true
= ( msmaller @ a_snail @ X0 ) ) ),
inference(constrained_superposition,[],[f9,f22]) ).
thf(f48,plain,
! [X0: $i] :
( ( ( bird @ X0 )
!= $true )
| ( $true
= ( msmaller @ a_snail @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f49,plain,
( ( $true != $true )
| ( $true
= ( msmaller @ a_snail @ a_bird ) ) ),
inference(constrained_superposition,[],[f48,f10]) ).
thf(f50,plain,
( $true
= ( msmaller @ a_snail @ a_bird ) ),
inference(trivial_inequality_removal,[],[f49]) ).
thf(f51,plain,
! [X0: $i] :
( ( $true != $true )
| ( $true
= ( msmaller @ X0 @ a_wolf ) )
| ( ( fox @ X0 )
!= $true ) ),
inference(constrained_superposition,[],[f11,f17]) ).
thf(f52,plain,
! [X0: $i] :
( ( ( fox @ X0 )
!= $true )
| ( $true
= ( msmaller @ X0 @ a_wolf ) ) ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f53,plain,
( ( $true
= ( msmaller @ a_fox @ a_wolf ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f52,f15]) ).
thf(f54,plain,
( $true
= ( msmaller @ a_fox @ a_wolf ) ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f95,plain,
! [X0: $i,X1: $i] :
( ( ( eats @ a_bird @ X0 )
= $true )
| ( $true
!= ( plant @ X1 ) )
| ( ( eats @ a_bird @ a_snail )
= $true )
| ( $true
!= ( eats @ a_snail @ X1 ) )
| ( ( animal @ a_snail )
!= $true )
| ( ( animal @ a_bird )
!= $true )
| ( ( plant @ X0 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f50]) ).
thf(f96,plain,
! [X0: $i,X1: $i] :
( ( ( plant @ X0 )
!= $true )
| ( $true
= ( eats @ a_fox @ a_bird ) )
| ( $true != $true )
| ( $true
!= ( plant @ X1 ) )
| ( $true
!= ( eats @ a_bird @ X1 ) )
| ( ( eats @ a_fox @ X0 )
= $true )
| ( $true
!= ( animal @ a_fox ) )
| ( ( animal @ a_bird )
!= $true ) ),
inference(constrained_superposition,[],[f26,f46]) ).
thf(f97,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( eats @ a_wolf @ a_fox ) )
| ( ( eats @ a_fox @ X1 )
!= $true )
| ( $true
!= ( plant @ X1 ) )
| ( $true != $true )
| ( $true
= ( eats @ a_wolf @ X0 ) )
| ( $true
!= ( animal @ a_fox ) )
| ( $true
!= ( animal @ a_wolf ) )
| ( ( plant @ X0 )
!= $true ) ),
inference(constrained_superposition,[],[f26,f54]) ).
thf(f98,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( plant @ X1 ) )
| ( $true
!= ( eats @ a_snail @ X1 ) )
| ( ( plant @ X0 )
!= $true )
| ( ( animal @ a_bird )
!= $true )
| ( ( animal @ a_snail )
!= $true )
| ( ( eats @ a_bird @ a_snail )
= $true )
| ( ( eats @ a_bird @ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f95]) ).
thf(f99,plain,
! [X0: $i,X1: $i] :
( ( ( animal @ a_bird )
!= $true )
| ( $true
!= ( plant @ X1 ) )
| ( $true
= ( eats @ a_fox @ a_bird ) )
| ( ( eats @ a_fox @ X0 )
= $true )
| ( $true
!= ( animal @ a_fox ) )
| ( $true
!= ( eats @ a_bird @ X1 ) )
| ( ( plant @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f100,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( plant @ X1 ) )
| ( ( eats @ a_fox @ X1 )
!= $true )
| ( $true
= ( eats @ a_wolf @ X0 ) )
| ( $true
!= ( animal @ a_wolf ) )
| ( $true
= ( eats @ a_wolf @ a_fox ) )
| ( ( plant @ X0 )
!= $true )
| ( $true
!= ( animal @ a_fox ) ) ),
inference(trivial_inequality_removal,[],[f97]) ).
thf(f101,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( eats @ a_snail @ X1 ) )
| ( ( eats @ a_bird @ a_snail )
= $true )
| ( ( animal @ a_snail )
!= $true )
| ( ( eats @ a_bird @ X0 )
= $true )
| ( ( plant @ X0 )
!= $true )
| ( $true
!= ( plant @ X1 ) ) ),
inference(forward_subsumption_resolution,[],[f98,f32]) ).
thf(f102,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( animal @ a_fox ) )
| ( ( eats @ a_fox @ X0 )
= $true )
| ( $true
= ( eats @ a_fox @ a_bird ) )
| ( ( plant @ X0 )
!= $true )
| ( $true
!= ( plant @ X1 ) )
| ( $true
!= ( eats @ a_bird @ X1 ) ) ),
inference(forward_subsumption_resolution,[],[f99,f32]) ).
thf(f103,plain,
! [X0: $i,X1: $i] :
( ( ( plant @ X0 )
!= $true )
| ( $true
= ( eats @ a_wolf @ X0 ) )
| ( $true
!= ( animal @ a_fox ) )
| ( ( eats @ a_fox @ X1 )
!= $true )
| ( $true
!= ( plant @ X1 ) )
| ( $true
= ( eats @ a_wolf @ a_fox ) ) ),
inference(forward_subsumption_resolution,[],[f100,f36]) ).
thf(f104,plain,
! [X0: $i,X1: $i] :
( ( ( eats @ a_bird @ X0 )
= $true )
| ( $true
!= ( plant @ X1 ) )
| ( ( eats @ a_bird @ a_snail )
= $true )
| ( $true
!= ( eats @ a_snail @ X1 ) )
| ( ( plant @ X0 )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f101,f30]) ).
thf(f105,plain,
! [X0: $i,X1: $i] :
( ( ( plant @ X0 )
!= $true )
| ( ( eats @ a_fox @ X0 )
= $true )
| ( $true
!= ( eats @ a_bird @ X1 ) )
| ( $true
= ( eats @ a_fox @ a_bird ) )
| ( $true
!= ( plant @ X1 ) ) ),
inference(forward_subsumption_resolution,[],[f102,f38]) ).
thf(f106,plain,
! [X0: $i,X1: $i] :
( ( ( eats @ a_fox @ X1 )
!= $true )
| ( $true
= ( eats @ a_wolf @ X0 ) )
| ( $true
!= ( plant @ X1 ) )
| ( ( plant @ X0 )
!= $true )
| ( $true
= ( eats @ a_wolf @ a_fox ) ) ),
inference(forward_subsumption_resolution,[],[f103,f38]) ).
thf(f108,definition,
( spl0_8
<=> ! [X0: $i] :
( ( ( eats @ a_bird @ X0 )
= $true )
| ( ( plant @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f109,plain,
( ! [X0: $i] :
( ( ( plant @ X0 )
!= $true )
| ( ( eats @ a_bird @ X0 )
= $true ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f111,definition,
( spl0_9
<=> ! [X1: $i] :
( ( $true
!= ( plant @ X1 ) )
| ( $true
!= ( eats @ a_snail @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f112,plain,
( ! [X1: $i] :
( ( $true
!= ( eats @ a_snail @ X1 ) )
| ( $true
!= ( plant @ X1 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f111]) ).
thf(f114,definition,
( spl0_10
<=> ( ( eats @ a_bird @ a_snail )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f116,plain,
( ( ( eats @ a_bird @ a_snail )
= $true )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f117,plain,
( spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f104,f114,f111,f108]) ).
thf(f119,definition,
( spl0_11
<=> ( $true
= ( eats @ a_fox @ a_bird ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f121,plain,
( ( $true
= ( eats @ a_fox @ a_bird ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f119]) ).
thf(f123,definition,
( spl0_12
<=> ! [X0: $i] :
( ( ( plant @ X0 )
!= $true )
| ( ( eats @ a_fox @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f124,plain,
( ! [X0: $i] :
( ( ( plant @ X0 )
!= $true )
| ( ( eats @ a_fox @ X0 )
= $true ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f126,definition,
( spl0_13
<=> ! [X1: $i] :
( ( $true
!= ( eats @ a_bird @ X1 ) )
| ( $true
!= ( plant @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f127,plain,
( ! [X1: $i] :
( ( $true
!= ( plant @ X1 ) )
| ( $true
!= ( eats @ a_bird @ X1 ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f128,plain,
( spl0_11
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f105,f126,f123,f119]) ).
thf(f130,definition,
( spl0_14
<=> ! [X1: $i] :
( ( ( eats @ a_fox @ X1 )
!= $true )
| ( $true
!= ( plant @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f131,plain,
( ! [X1: $i] :
( ( ( eats @ a_fox @ X1 )
!= $true )
| ( $true
!= ( plant @ X1 ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f133,definition,
( spl0_15
<=> ( $true
= ( eats @ a_wolf @ a_fox ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f135,plain,
( ( $true
= ( eats @ a_wolf @ a_fox ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f133]) ).
thf(f137,definition,
( spl0_16
<=> ! [X0: $i] :
( ( $true
= ( eats @ a_wolf @ X0 ) )
| ( ( plant @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f138,plain,
( ! [X0: $i] :
( ( ( plant @ X0 )
!= $true )
| ( $true
= ( eats @ a_wolf @ X0 ) ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f137]) ).
thf(f139,plain,
( spl0_14
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f106,f137,f133,f130]) ).
thf(f140,plain,
( ! [X0: $i] :
( ( ( eats @ a_bird @ X0 )
!= $true )
| ( ( animal @ a_bird )
!= $true )
| ( ( grain @ X0 )
!= $true )
| ( $true
!= ( animal @ a_fox ) )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f20,f121]) ).
thf(f145,plain,
( ! [X0: $i] :
( ( ( eats @ a_bird @ X0 )
!= $true )
| ( ( grain @ X0 )
!= $true )
| ( ( animal @ a_bird )
!= $true )
| ( $true
!= ( animal @ a_fox ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f140]) ).
thf(f157,plain,
( ! [X0: $i] :
( ( ( eats @ a_bird @ X0 )
!= $true )
| ( ( grain @ X0 )
!= $true )
| ( $true
!= ( animal @ a_fox ) ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f145,f32]) ).
thf(f172,plain,
( ! [X0: $i] :
( ( ( eats @ a_bird @ X0 )
!= $true )
| ( ( grain @ X0 )
!= $true ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f157,f38]) ).
thf(f173,plain,
( ( $true != $true )
| ( $true
= ( eats @ a_bird @ a_grain ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f109,f34]) ).
thf(f175,plain,
( ( $true
= ( eats @ a_bird @ a_grain ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f173]) ).
thf(f216,plain,
( ( ( grain @ a_grain )
!= $true )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f172,f175]) ).
thf(f218,plain,
( ( ( grain @ a_grain )
!= $true )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f216]) ).
thf(f220,plain,
( $false
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f218,f13]) ).
thf(f221,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f220]) ).
thf(f222,plain,
( ( $true != $true )
| ( $true
!= ( plant @ ( sf @ a_snail ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f112,f42]) ).
thf(f223,plain,
( ( $true
!= ( plant @ ( sf @ a_snail ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f222]) ).
thf(f224,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f223,f40]) ).
thf(f225,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f224]) ).
thf(f228,plain,
( ( ( snail @ a_snail )
!= $true )
| ( ( bird @ a_bird )
!= $true )
| ( $true != $true )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f23,f116]) ).
thf(f233,plain,
( ( ( snail @ a_snail )
!= $true )
| ( ( bird @ a_bird )
!= $true )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f228]) ).
thf(f236,plain,
( ( ( bird @ a_bird )
!= $true )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f233,f22]) ).
thf(f238,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f236,f10]) ).
thf(f239,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f238]) ).
thf(f247,plain,
( ! [X0: $i] :
( ( plant @ X0 )
!= $true )
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f124,f131]) ).
thf(f248,plain,
( ( $true != $true )
| ~ spl0_12
| ~ spl0_14 ),
inference(constrained_superposition,[],[f247,f34]) ).
thf(f252,plain,
( $false
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f248]) ).
thf(f253,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f252]) ).
thf(f254,plain,
( ! [X1: $i] :
( $true
!= ( plant @ X1 ) )
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f127,f109]) ).
thf(f255,plain,
( ( $true != $true )
| ~ spl0_8
| ~ spl0_13 ),
inference(constrained_superposition,[],[f254,f34]) ).
thf(f259,plain,
( $false
| ~ spl0_8
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f255]) ).
thf(f260,plain,
( ~ spl0_8
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f259]) ).
thf(f263,plain,
( ( ( fox @ a_fox )
!= $true )
| ( $true != $true )
| ( ( wolf @ a_wolf )
!= $true )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f19,f135]) ).
thf(f268,plain,
( ( ( wolf @ a_wolf )
!= $true )
| ( ( fox @ a_fox )
!= $true )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f263]) ).
thf(f280,plain,
( ( ( fox @ a_fox )
!= $true )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f268,f17]) ).
thf(f282,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f280,f15]) ).
thf(f283,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f282]) ).
thf(f324,plain,
( ( $true
= ( eats @ a_wolf @ a_grain ) )
| ( $true != $true )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f138,f34]) ).
thf(f326,plain,
( ( $true
= ( eats @ a_wolf @ a_grain ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f324]) ).
thf(f331,plain,
( ( $true != $true )
| ( ( wolf @ a_wolf )
!= $true )
| ( ( grain @ a_grain )
!= $true )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f14,f326]) ).
thf(f332,plain,
( ( ( grain @ a_grain )
!= $true )
| ( ( wolf @ a_wolf )
!= $true )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f331]) ).
thf(f336,plain,
( ( ( wolf @ a_wolf )
!= $true )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f332,f13]) ).
thf(f338,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f336,f17]) ).
thf(f339,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f338]) ).
cnf(s5,plain,
( spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f117]) ).
cnf(s6,plain,
( spl0_11
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s7,plain,
( spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f139]) ).
cnf(s14,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(sat_conversion,[],[f221]) ).
cnf(s15,plain,
~ spl0_9,
inference(sat_conversion,[],[f225]) ).
cnf(s16,plain,
~ spl0_10,
inference(sat_conversion,[],[f239]) ).
cnf(s18,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f253]) ).
cnf(s20,plain,
( ~ spl0_8
| ~ spl0_13 ),
inference(sat_conversion,[],[f260]) ).
cnf(s22,plain,
~ spl0_15,
inference(sat_conversion,[],[f283]) ).
cnf(s23,plain,
~ spl0_16,
inference(sat_conversion,[],[f339]) ).
cnf(s25,plain,
spl0_14,
inference(rat,[],[s7,s23,s22]) ).
cnf(s26,plain,
~ spl0_12,
inference(rat,[],[s18,s25]) ).
cnf(s27,plain,
( spl0_11
| spl0_13 ),
inference(rat,[],[s6,s26]) ).
cnf(s28,plain,
spl0_8,
inference(rat,[],[s5,s16,s15]) ).
cnf(s29,plain,
~ spl0_13,
inference(rat,[],[s20,s28]) ).
cnf(s30,plain,
~ spl0_11,
inference(rat,[],[s14,s28]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s27,s29,s30]) ).
thf(f341,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ094^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.15 % Computer : n014.cluster.edu
% 0.10/0.15 % Model : x86_64 x86_64
% 0.10/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15 % Memory : 8046.5625MB
% 0.10/0.15 % OS : Linux 6.8.0-71-generic
% 0.10/0.15 % CPULimit : 300
% 0.10/0.15 % WCLimit : 300
% 0.10/0.15 % DateTime : Tue Sep 29 13:22:00 UTC 2026
% 0.10/0.15 % CPUTime :
% 0.10/0.15 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 Running higher-order theorem proving
% 0.10/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.26 % (2638162)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.10/0.26 % (2638176)lrs+10_16_si=on:nwc=1.5:random_seed=3249867629:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.10/0.26 % (2638181)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.10/0.26 % (2638181)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.10/0.26 % (2638176)Instruction limit reached!
% 0.10/0.26 % (2638176)------------------------------
% 0.10/0.26 % (2638176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (2638176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (2638176)CaDiCaL version: 2.1.3
% 0.10/0.26 % (2638176)Termination reason: Instruction limit
% 0.10/0.26 % (2638176)Termination phase: Saturation
% 0.10/0.26 % (2638176)Time elapsed: 0.007 s
% 0.10/0.26 % (2638176)Peak memory usage: 12 MB
% 0.10/0.26 % (2638176)Instructions burned: 21 (million)
% 0.10/0.26 % (2638175)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3452838899:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.10/0.26 % (2638177)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=330662328:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.10/0.26 % (2638179)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=950507681:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.10/0.26 % (2638180)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3914566864:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.10/0.26 % (2638178)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1877918653:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.10/0.26 % (2638181)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2938264928:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.10/0.26 % (2638177)Instruction limit reached!
% 0.10/0.26 % (2638177)------------------------------
% 0.10/0.26 % (2638177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (2638177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (2638177)CaDiCaL version: 2.1.3
% 0.10/0.26 % (2638177)Termination reason: Instruction limit
% 0.10/0.26 % (2638177)Termination phase: Saturation
% 0.10/0.26 % (2638177)Time elapsed: 0.002 s
% 0.10/0.26 % (2638177)Peak memory usage: 11 MB
% 0.10/0.26 % (2638177)Instructions burned: 3 (million)
% 0.10/0.26 % (2638175) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2638162-2638175"...
% 0.10/0.26 % (2638180) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2638162-2638180"...
% 0.10/0.26 % (2638175)...printing done.
% 0.10/0.26 % (2638175)Refutation found. Thanks to Tanya!
% 0.10/0.26 % SZS status Theorem for theBenchmark
% 0.10/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.26 % (2638175)------------------------------
% 0.10/0.26 % (2638175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.26 % (2638175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.26 % (2638175)CaDiCaL version: 2.1.3
% 0.10/0.26 % (2638175)Termination reason: Refutation
% 0.10/0.26 % (2638175)Time elapsed: 0.013 s
% 0.10/0.26 % (2638175)Peak memory usage: 13 MB
% 0.10/0.26 % (2638175)Instructions burned: 22 (million)
% 0.10/0.26 % (2638162)Success in time 0.05 s
% 0.10/0.26 % Vampire exiting
%------------------------------------------------------------------------------