TSTP Solution File: PUZ031-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n025.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 18:19:20 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 45
% Syntax : Number of formulae : 219 ( 97 unt; 18 typ; 0 def)
% Number of atoms : 1324 ( 348 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 1627 ( 350 ~; 427 |; 0 &; 850 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 348 ( 0 ^ 348 !; 0 ?; 348 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_bird,type,
a_bird: $i ).
thf(tp_a_caterpillar,type,
a_caterpillar: $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_caterpillar,type,
caterpillar: $i > $o ).
thf(tp_caterpillar_food_of,type,
caterpillar_food_of: $i > $i ).
thf(tp_eats,type,
eats: $i > $i > $o ).
thf(tp_fox,type,
fox: $i > $o ).
thf(tp_grain,type,
grain: $i > $o ).
thf(tp_much_smaller,type,
much_smaller: $i > $i > $o ).
thf(tp_plant,type,
plant: $i > $o ).
thf(tp_snail,type,
snail: $i > $o ).
thf(tp_snail_food_of,type,
snail_food_of: $i > $i ).
thf(tp_wolf,type,
wolf: $i > $o ).
thf(1,axiom,
! [Snail: $i] :
( ( eats @ Snail @ ( snail_food_of @ Snail ) )
| ~ ( snail @ Snail ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_eats_snail_food) ).
thf(2,axiom,
! [Snail: $i] :
( ( plant @ ( snail_food_of @ Snail ) )
| ~ ( snail @ Snail ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_food_is_a_plant) ).
thf(3,axiom,
! [Catapillar: $i] :
( ( eats @ Catapillar @ ( caterpillar_food_of @ Catapillar ) )
| ~ ( caterpillar @ Catapillar ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',caterpillar_eats_caterpillar_food) ).
thf(4,axiom,
! [Catapillar: $i] :
( ( plant @ ( caterpillar_food_of @ Catapillar ) )
| ~ ( caterpillar @ Catapillar ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',caterpillar_food_is_a_plant) ).
thf(5,axiom,
! [Bird: $i,Snail: $i] :
( ~ ( bird @ Bird )
| ~ ( snail @ Snail )
| ~ ( eats @ Bird @ Snail ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_dont_eat_snail) ).
thf(6,axiom,
! [Bird: $i,Catapillar: $i] :
( ( eats @ Bird @ Catapillar )
| ~ ( bird @ Bird )
| ~ ( caterpillar @ Catapillar ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_eats_caterpillar) ).
thf(7,axiom,
! [Wolf: $i,Grain: $i] :
( ~ ( wolf @ Wolf )
| ~ ( grain @ Grain )
| ~ ( eats @ Wolf @ Grain ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_dont_eat_grain) ).
thf(8,axiom,
! [Wolf: $i,Fox: $i] :
( ~ ( wolf @ Wolf )
| ~ ( fox @ Fox )
| ~ ( eats @ Wolf @ Fox ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_dont_eat_fox) ).
thf(9,axiom,
! [Fox: $i,Wolf: $i] :
( ( much_smaller @ Fox @ Wolf )
| ~ ( fox @ Fox )
| ~ ( wolf @ Wolf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_smaller_than_wolf) ).
thf(10,axiom,
! [Bird: $i,Fox: $i] :
( ( much_smaller @ Bird @ Fox )
| ~ ( bird @ Bird )
| ~ ( fox @ Fox ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_smaller_than_fox) ).
thf(11,axiom,
! [Snail: $i,Bird: $i] :
( ( much_smaller @ Snail @ Bird )
| ~ ( snail @ Snail )
| ~ ( bird @ Bird ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_smaller_than_bird) ).
thf(12,axiom,
! [Catapillar: $i,Bird: $i] :
( ( much_smaller @ Catapillar @ Bird )
| ~ ( caterpillar @ Catapillar )
| ~ ( bird @ Bird ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',caterpillar_smaller_than_bird) ).
thf(13,axiom,
! [Animal: $i,Plant: $i,Small_animal: $i,Other_plant: $i] :
( ( eats @ Animal @ Plant )
| ( eats @ Animal @ Small_animal )
| ~ ( animal @ Animal )
| ~ ( plant @ Plant )
| ~ ( animal @ Small_animal )
| ~ ( plant @ Other_plant )
| ~ ( much_smaller @ Small_animal @ Animal )
| ~ ( eats @ Small_animal @ Other_plant ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eating_habits) ).
thf(14,axiom,
! [X: $i] :
( ( plant @ X )
| ~ ( grain @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_a_plant) ).
thf(15,axiom,
grain @ a_grain,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_grain) ).
thf(16,axiom,
snail @ a_snail,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_snail) ).
thf(17,axiom,
caterpillar @ a_caterpillar,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_caterpillar) ).
thf(18,axiom,
bird @ a_bird,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_bird) ).
thf(19,axiom,
fox @ a_fox,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_fox) ).
thf(20,axiom,
wolf @ a_wolf,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_wolf) ).
thf(21,axiom,
! [X: $i] :
( ( animal @ X )
| ~ ( snail @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_an_animal) ).
thf(22,axiom,
! [X: $i] :
( ( animal @ X )
| ~ ( caterpillar @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',caterpillar_is_an_animal) ).
thf(23,axiom,
! [X: $i] :
( ( animal @ X )
| ~ ( bird @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_an_animal) ).
thf(24,axiom,
! [X: $i] :
( ( animal @ X )
| ~ ( fox @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_an_animal) ).
thf(25,axiom,
! [X: $i] :
( ( animal @ X )
| ~ ( wolf @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_an_animal) ).
thf(26,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(27,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[26]) ).
thf(28,negated_conjecture,
! [Animal: $i,Grain_eater: $i,Grain: $i] :
( ~ ( animal @ Animal )
| ~ ( animal @ Grain_eater )
| ~ ( grain @ Grain )
| ~ ( eats @ Animal @ Grain_eater )
| ~ ( eats @ Grain_eater @ Grain ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_the_animal_exists) ).
thf(29,plain,
$false = $false,
inference(unfold_def,[status(thm)],[27]) ).
thf(30,plain,
( ( ! [Snail: $i] :
( ( eats @ Snail @ ( snail_food_of @ Snail ) )
| ~ ( snail @ Snail ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(31,plain,
( ( ! [Snail: $i] :
( ( plant @ ( snail_food_of @ Snail ) )
| ~ ( snail @ Snail ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(32,plain,
( ( ! [Catapillar: $i] :
( ( eats @ Catapillar @ ( caterpillar_food_of @ Catapillar ) )
| ~ ( caterpillar @ Catapillar ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(33,plain,
( ( ! [Catapillar: $i] :
( ( plant @ ( caterpillar_food_of @ Catapillar ) )
| ~ ( caterpillar @ Catapillar ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(34,plain,
( ( ! [Bird: $i,Snail: $i] :
( ~ ( bird @ Bird )
| ~ ( snail @ Snail )
| ~ ( eats @ Bird @ Snail ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(35,plain,
( ( ! [Bird: $i,Catapillar: $i] :
( ( eats @ Bird @ Catapillar )
| ~ ( bird @ Bird )
| ~ ( caterpillar @ Catapillar ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(36,plain,
( ( ! [Wolf: $i,Grain: $i] :
( ~ ( wolf @ Wolf )
| ~ ( grain @ Grain )
| ~ ( eats @ Wolf @ Grain ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(37,plain,
( ( ! [Wolf: $i,Fox: $i] :
( ~ ( wolf @ Wolf )
| ~ ( fox @ Fox )
| ~ ( eats @ Wolf @ Fox ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(38,plain,
( ( ! [Fox: $i,Wolf: $i] :
( ( much_smaller @ Fox @ Wolf )
| ~ ( fox @ Fox )
| ~ ( wolf @ Wolf ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(39,plain,
( ( ! [Bird: $i,Fox: $i] :
( ( much_smaller @ Bird @ Fox )
| ~ ( bird @ Bird )
| ~ ( fox @ Fox ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(40,plain,
( ( ! [Snail: $i,Bird: $i] :
( ( much_smaller @ Snail @ Bird )
| ~ ( snail @ Snail )
| ~ ( bird @ Bird ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(41,plain,
( ( ! [Catapillar: $i,Bird: $i] :
( ( much_smaller @ Catapillar @ Bird )
| ~ ( caterpillar @ Catapillar )
| ~ ( bird @ Bird ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(42,plain,
( ( ! [Animal: $i,Plant: $i,Small_animal: $i,Other_plant: $i] :
( ( eats @ Animal @ Plant )
| ( eats @ Animal @ Small_animal )
| ~ ( animal @ Animal )
| ~ ( plant @ Plant )
| ~ ( animal @ Small_animal )
| ~ ( plant @ Other_plant )
| ~ ( much_smaller @ Small_animal @ Animal )
| ~ ( eats @ Small_animal @ Other_plant ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(43,plain,
( ( ! [X: $i] :
( ( plant @ X )
| ~ ( grain @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(44,plain,
( ( grain @ a_grain )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(45,plain,
( ( snail @ a_snail )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(46,plain,
( ( caterpillar @ a_caterpillar )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(47,plain,
( ( bird @ a_bird )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(48,plain,
( ( fox @ a_fox )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(49,plain,
( ( wolf @ a_wolf )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(50,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( snail @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(51,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( caterpillar @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(52,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( bird @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(53,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( fox @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(54,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( wolf @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(55,plain,
( ( ! [Animal: $i,Grain_eater: $i,Grain: $i] :
( ~ ( animal @ Animal )
| ~ ( animal @ Grain_eater )
| ~ ( grain @ Grain )
| ~ ( eats @ Animal @ Grain_eater )
| ~ ( eats @ Grain_eater @ Grain ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(56,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(57,plain,
( ( ! [Bird: $i] :
( ~ ( bird @ Bird )
| ! [Snail: $i] :
( ~ ( snail @ Snail )
| ~ ( eats @ Bird @ Snail ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(58,plain,
( ( ! [Wolf: $i] :
( ~ ( wolf @ Wolf )
| ! [Grain: $i] :
( ~ ( grain @ Grain )
| ~ ( eats @ Wolf @ Grain ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(59,plain,
( ( ! [Wolf: $i] :
( ~ ( wolf @ Wolf )
| ! [Fox: $i] :
( ~ ( fox @ Fox )
| ~ ( eats @ Wolf @ Fox ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(60,plain,
( ( ! [Animal: $i,Plant: $i] :
( ( eats @ Animal @ Plant )
| ! [Small_animal: $i] :
( ( eats @ Animal @ Small_animal )
| ~ ( animal @ Animal )
| ~ ( plant @ Plant )
| ~ ( animal @ Small_animal )
| ! [Other_plant: $i] :
( ~ ( plant @ Other_plant )
| ~ ( much_smaller @ Small_animal @ Animal )
| ~ ( eats @ Small_animal @ Other_plant ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(61,plain,
( ( ! [Animal: $i] :
( ~ ( animal @ Animal )
| ! [Grain_eater: $i] :
( ~ ( animal @ Grain_eater )
| ! [Grain: $i] :
( ~ ( grain @ Grain )
| ~ ( eats @ Animal @ Grain_eater )
| ~ ( eats @ Grain_eater @ Grain ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(62,plain,
( ( ! [Animal: $i] :
( ~ ( animal @ Animal )
| ! [Grain_eater: $i] :
( ~ ( animal @ Grain_eater )
| ! [Grain: $i] :
( ~ ( grain @ Grain )
| ~ ( eats @ Animal @ Grain_eater )
| ~ ( eats @ Grain_eater @ Grain ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(63,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( wolf @ X ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(64,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( fox @ X ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(65,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( bird @ X ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(66,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( caterpillar @ X ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(67,plain,
( ( ! [X: $i] :
( ( animal @ X )
| ~ ( snail @ X ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(68,plain,
( ( wolf @ a_wolf )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(69,plain,
( ( fox @ a_fox )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(70,plain,
( ( bird @ a_bird )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(71,plain,
( ( caterpillar @ a_caterpillar )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(72,plain,
( ( snail @ a_snail )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(73,plain,
( ( grain @ a_grain )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(74,plain,
( ( ! [X: $i] :
( ( plant @ X )
| ~ ( grain @ X ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(75,plain,
( ( ! [Animal: $i,Plant: $i] :
( ( eats @ Animal @ Plant )
| ! [Small_animal: $i] :
( ( eats @ Animal @ Small_animal )
| ~ ( animal @ Animal )
| ~ ( plant @ Plant )
| ~ ( animal @ Small_animal )
| ! [Other_plant: $i] :
( ~ ( plant @ Other_plant )
| ~ ( much_smaller @ Small_animal @ Animal )
| ~ ( eats @ Small_animal @ Other_plant ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(76,plain,
( ( ! [Catapillar: $i,Bird: $i] :
( ( much_smaller @ Catapillar @ Bird )
| ~ ( caterpillar @ Catapillar )
| ~ ( bird @ Bird ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(77,plain,
( ( ! [Snail: $i,Bird: $i] :
( ( much_smaller @ Snail @ Bird )
| ~ ( snail @ Snail )
| ~ ( bird @ Bird ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(78,plain,
( ( ! [Bird: $i,Fox: $i] :
( ( much_smaller @ Bird @ Fox )
| ~ ( bird @ Bird )
| ~ ( fox @ Fox ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(79,plain,
( ( ! [Fox: $i,Wolf: $i] :
( ( much_smaller @ Fox @ Wolf )
| ~ ( fox @ Fox )
| ~ ( wolf @ Wolf ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(80,plain,
( ( ! [Wolf: $i] :
( ~ ( wolf @ Wolf )
| ! [Fox: $i] :
( ~ ( fox @ Fox )
| ~ ( eats @ Wolf @ Fox ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(81,plain,
( ( ! [Wolf: $i] :
( ~ ( wolf @ Wolf )
| ! [Grain: $i] :
( ~ ( grain @ Grain )
| ~ ( eats @ Wolf @ Grain ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(82,plain,
( ( ! [Bird: $i,Catapillar: $i] :
( ( eats @ Bird @ Catapillar )
| ~ ( bird @ Bird )
| ~ ( caterpillar @ Catapillar ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(83,plain,
( ( ! [Bird: $i] :
( ~ ( bird @ Bird )
| ! [Snail: $i] :
( ~ ( snail @ Snail )
| ~ ( eats @ Bird @ Snail ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(84,plain,
( ( ! [Catapillar: $i] :
( ( plant @ ( caterpillar_food_of @ Catapillar ) )
| ~ ( caterpillar @ Catapillar ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(85,plain,
( ( ! [Catapillar: $i] :
( ( eats @ Catapillar @ ( caterpillar_food_of @ Catapillar ) )
| ~ ( caterpillar @ Catapillar ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(86,plain,
( ( ! [Snail: $i] :
( ( plant @ ( snail_food_of @ Snail ) )
| ~ ( snail @ Snail ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(87,plain,
( ( ! [Snail: $i] :
( ( eats @ Snail @ ( snail_food_of @ Snail ) )
| ~ ( snail @ Snail ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(88,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(89,plain,
! [SV1: $i] :
( ( ~ ( animal @ SV1 )
| ! [SY33: $i] :
( ~ ( animal @ SY33 )
| ! [SY34: $i] :
( ~ ( grain @ SY34 )
| ~ ( eats @ SV1 @ SY33 )
| ~ ( eats @ SY33 @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(90,plain,
! [SV2: $i] :
( ( ( animal @ SV2 )
| ~ ( wolf @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(91,plain,
! [SV3: $i] :
( ( ( animal @ SV3 )
| ~ ( fox @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(92,plain,
! [SV4: $i] :
( ( ( animal @ SV4 )
| ~ ( bird @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(93,plain,
! [SV5: $i] :
( ( ( animal @ SV5 )
| ~ ( caterpillar @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(94,plain,
! [SV6: $i] :
( ( ( animal @ SV6 )
| ~ ( snail @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(95,plain,
! [SV7: $i] :
( ( ( plant @ SV7 )
| ~ ( grain @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(96,plain,
! [SV8: $i] :
( ( ! [SY35: $i] :
( ( eats @ SV8 @ SY35 )
| ! [SY36: $i] :
( ( eats @ SV8 @ SY36 )
| ~ ( animal @ SV8 )
| ~ ( plant @ SY35 )
| ~ ( animal @ SY36 )
| ! [SY37: $i] :
( ~ ( plant @ SY37 )
| ~ ( much_smaller @ SY36 @ SV8 )
| ~ ( eats @ SY36 @ SY37 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(97,plain,
! [SV9: $i] :
( ( ! [SY38: $i] :
( ( much_smaller @ SV9 @ SY38 )
| ~ ( caterpillar @ SV9 )
| ~ ( bird @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(98,plain,
! [SV10: $i] :
( ( ! [SY39: $i] :
( ( much_smaller @ SV10 @ SY39 )
| ~ ( snail @ SV10 )
| ~ ( bird @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(99,plain,
! [SV11: $i] :
( ( ! [SY40: $i] :
( ( much_smaller @ SV11 @ SY40 )
| ~ ( bird @ SV11 )
| ~ ( fox @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(100,plain,
! [SV12: $i] :
( ( ! [SY41: $i] :
( ( much_smaller @ SV12 @ SY41 )
| ~ ( fox @ SV12 )
| ~ ( wolf @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(101,plain,
! [SV13: $i] :
( ( ~ ( wolf @ SV13 )
| ! [SY42: $i] :
( ~ ( fox @ SY42 )
| ~ ( eats @ SV13 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(102,plain,
! [SV14: $i] :
( ( ~ ( wolf @ SV14 )
| ! [SY43: $i] :
( ~ ( grain @ SY43 )
| ~ ( eats @ SV14 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(103,plain,
! [SV15: $i] :
( ( ! [SY44: $i] :
( ( eats @ SV15 @ SY44 )
| ~ ( bird @ SV15 )
| ~ ( caterpillar @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(104,plain,
! [SV16: $i] :
( ( ~ ( bird @ SV16 )
| ! [SY45: $i] :
( ~ ( snail @ SY45 )
| ~ ( eats @ SV16 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(105,plain,
! [SV17: $i] :
( ( ( plant @ ( caterpillar_food_of @ SV17 ) )
| ~ ( caterpillar @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(106,plain,
! [SV18: $i] :
( ( ( eats @ SV18 @ ( caterpillar_food_of @ SV18 ) )
| ~ ( caterpillar @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(107,plain,
! [SV19: $i] :
( ( ( plant @ ( snail_food_of @ SV19 ) )
| ~ ( snail @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(108,plain,
! [SV20: $i] :
( ( ( eats @ SV20 @ ( snail_food_of @ SV20 ) )
| ~ ( snail @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(109,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(110,plain,
! [SV1: $i] :
( ( ( ~ ( animal @ SV1 ) )
= $true )
| ( ( ! [SY33: $i] :
( ~ ( animal @ SY33 )
| ! [SY34: $i] :
( ~ ( grain @ SY34 )
| ~ ( eats @ SV1 @ SY33 )
| ~ ( eats @ SY33 @ SY34 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(111,plain,
! [SV2: $i] :
( ( ( animal @ SV2 )
= $true )
| ( ( ~ ( wolf @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(112,plain,
! [SV3: $i] :
( ( ( animal @ SV3 )
= $true )
| ( ( ~ ( fox @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(113,plain,
! [SV4: $i] :
( ( ( animal @ SV4 )
= $true )
| ( ( ~ ( bird @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(114,plain,
! [SV5: $i] :
( ( ( animal @ SV5 )
= $true )
| ( ( ~ ( caterpillar @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(115,plain,
! [SV6: $i] :
( ( ( animal @ SV6 )
= $true )
| ( ( ~ ( snail @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(116,plain,
! [SV7: $i] :
( ( ( plant @ SV7 )
= $true )
| ( ( ~ ( grain @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(117,plain,
! [SV21: $i,SV8: $i] :
( ( ( eats @ SV8 @ SV21 )
| ! [SY46: $i] :
( ( eats @ SV8 @ SY46 )
| ~ ( animal @ SV8 )
| ~ ( plant @ SV21 )
| ~ ( animal @ SY46 )
| ! [SY37: $i] :
( ~ ( plant @ SY37 )
| ~ ( much_smaller @ SY46 @ SV8 )
| ~ ( eats @ SY46 @ SY37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(118,plain,
! [SV22: $i,SV9: $i] :
( ( ( much_smaller @ SV9 @ SV22 )
| ~ ( caterpillar @ SV9 )
| ~ ( bird @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(119,plain,
! [SV23: $i,SV10: $i] :
( ( ( much_smaller @ SV10 @ SV23 )
| ~ ( snail @ SV10 )
| ~ ( bird @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(120,plain,
! [SV24: $i,SV11: $i] :
( ( ( much_smaller @ SV11 @ SV24 )
| ~ ( bird @ SV11 )
| ~ ( fox @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(121,plain,
! [SV25: $i,SV12: $i] :
( ( ( much_smaller @ SV12 @ SV25 )
| ~ ( fox @ SV12 )
| ~ ( wolf @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(122,plain,
! [SV13: $i] :
( ( ( ~ ( wolf @ SV13 ) )
= $true )
| ( ( ! [SY42: $i] :
( ~ ( fox @ SY42 )
| ~ ( eats @ SV13 @ SY42 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(123,plain,
! [SV14: $i] :
( ( ( ~ ( wolf @ SV14 ) )
= $true )
| ( ( ! [SY43: $i] :
( ~ ( grain @ SY43 )
| ~ ( eats @ SV14 @ SY43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(124,plain,
! [SV26: $i,SV15: $i] :
( ( ( eats @ SV15 @ SV26 )
| ~ ( bird @ SV15 )
| ~ ( caterpillar @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(125,plain,
! [SV16: $i] :
( ( ( ~ ( bird @ SV16 ) )
= $true )
| ( ( ! [SY45: $i] :
( ~ ( snail @ SY45 )
| ~ ( eats @ SV16 @ SY45 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(126,plain,
! [SV17: $i] :
( ( ( plant @ ( caterpillar_food_of @ SV17 ) )
= $true )
| ( ( ~ ( caterpillar @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(127,plain,
! [SV18: $i] :
( ( ( eats @ SV18 @ ( caterpillar_food_of @ SV18 ) )
= $true )
| ( ( ~ ( caterpillar @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(128,plain,
! [SV19: $i] :
( ( ( plant @ ( snail_food_of @ SV19 ) )
= $true )
| ( ( ~ ( snail @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(129,plain,
! [SV20: $i] :
( ( ( eats @ SV20 @ ( snail_food_of @ SV20 ) )
= $true )
| ( ( ~ ( snail @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(130,plain,
! [SV1: $i] :
( ( ( animal @ SV1 )
= $false )
| ( ( ! [SY33: $i] :
( ~ ( animal @ SY33 )
| ! [SY34: $i] :
( ~ ( grain @ SY34 )
| ~ ( eats @ SV1 @ SY33 )
| ~ ( eats @ SY33 @ SY34 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(131,plain,
! [SV2: $i] :
( ( ( wolf @ SV2 )
= $false )
| ( ( animal @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(132,plain,
! [SV3: $i] :
( ( ( fox @ SV3 )
= $false )
| ( ( animal @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(133,plain,
! [SV4: $i] :
( ( ( bird @ SV4 )
= $false )
| ( ( animal @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(134,plain,
! [SV5: $i] :
( ( ( caterpillar @ SV5 )
= $false )
| ( ( animal @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(135,plain,
! [SV6: $i] :
( ( ( snail @ SV6 )
= $false )
| ( ( animal @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(136,plain,
! [SV7: $i] :
( ( ( grain @ SV7 )
= $false )
| ( ( plant @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(137,plain,
! [SV21: $i,SV8: $i] :
( ( ( eats @ SV8 @ SV21 )
= $true )
| ( ( ! [SY46: $i] :
( ( eats @ SV8 @ SY46 )
| ~ ( animal @ SV8 )
| ~ ( plant @ SV21 )
| ~ ( animal @ SY46 )
| ! [SY37: $i] :
( ~ ( plant @ SY37 )
| ~ ( much_smaller @ SY46 @ SV8 )
| ~ ( eats @ SY46 @ SY37 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(138,plain,
! [SV22: $i,SV9: $i] :
( ( ( much_smaller @ SV9 @ SV22 )
= $true )
| ( ( ~ ( caterpillar @ SV9 )
| ~ ( bird @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(139,plain,
! [SV23: $i,SV10: $i] :
( ( ( much_smaller @ SV10 @ SV23 )
= $true )
| ( ( ~ ( snail @ SV10 )
| ~ ( bird @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(140,plain,
! [SV24: $i,SV11: $i] :
( ( ( much_smaller @ SV11 @ SV24 )
= $true )
| ( ( ~ ( bird @ SV11 )
| ~ ( fox @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(141,plain,
! [SV25: $i,SV12: $i] :
( ( ( much_smaller @ SV12 @ SV25 )
= $true )
| ( ( ~ ( fox @ SV12 )
| ~ ( wolf @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(142,plain,
! [SV13: $i] :
( ( ( wolf @ SV13 )
= $false )
| ( ( ! [SY42: $i] :
( ~ ( fox @ SY42 )
| ~ ( eats @ SV13 @ SY42 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(143,plain,
! [SV14: $i] :
( ( ( wolf @ SV14 )
= $false )
| ( ( ! [SY43: $i] :
( ~ ( grain @ SY43 )
| ~ ( eats @ SV14 @ SY43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(144,plain,
! [SV26: $i,SV15: $i] :
( ( ( eats @ SV15 @ SV26 )
= $true )
| ( ( ~ ( bird @ SV15 )
| ~ ( caterpillar @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(145,plain,
! [SV16: $i] :
( ( ( bird @ SV16 )
= $false )
| ( ( ! [SY45: $i] :
( ~ ( snail @ SY45 )
| ~ ( eats @ SV16 @ SY45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(146,plain,
! [SV17: $i] :
( ( ( caterpillar @ SV17 )
= $false )
| ( ( plant @ ( caterpillar_food_of @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(147,plain,
! [SV18: $i] :
( ( ( caterpillar @ SV18 )
= $false )
| ( ( eats @ SV18 @ ( caterpillar_food_of @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(148,plain,
! [SV19: $i] :
( ( ( snail @ SV19 )
= $false )
| ( ( plant @ ( snail_food_of @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(149,plain,
! [SV20: $i] :
( ( ( snail @ SV20 )
= $false )
| ( ( eats @ SV20 @ ( snail_food_of @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(150,plain,
! [SV1: $i,SV27: $i] :
( ( ( ~ ( animal @ SV27 )
| ! [SY48: $i] :
( ~ ( grain @ SY48 )
| ~ ( eats @ SV1 @ SV27 )
| ~ ( eats @ SV27 @ SY48 ) ) )
= $true )
| ( ( animal @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(151,plain,
! [SV21: $i,SV28: $i,SV8: $i] :
( ( ( ( eats @ SV8 @ SV28 )
| ~ ( animal @ SV8 )
| ~ ( plant @ SV21 )
| ~ ( animal @ SV28 )
| ! [SY49: $i] :
( ~ ( plant @ SY49 )
| ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SY49 ) ) )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(152,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( caterpillar @ SV9 ) )
= $true )
| ( ( ~ ( bird @ SV22 ) )
= $true )
| ( ( much_smaller @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(153,plain,
! [SV23: $i,SV10: $i] :
( ( ( ~ ( snail @ SV10 ) )
= $true )
| ( ( ~ ( bird @ SV23 ) )
= $true )
| ( ( much_smaller @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(154,plain,
! [SV24: $i,SV11: $i] :
( ( ( ~ ( bird @ SV11 ) )
= $true )
| ( ( ~ ( fox @ SV24 ) )
= $true )
| ( ( much_smaller @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(155,plain,
! [SV25: $i,SV12: $i] :
( ( ( ~ ( fox @ SV12 ) )
= $true )
| ( ( ~ ( wolf @ SV25 ) )
= $true )
| ( ( much_smaller @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(156,plain,
! [SV13: $i,SV29: $i] :
( ( ( ~ ( fox @ SV29 )
| ~ ( eats @ SV13 @ SV29 ) )
= $true )
| ( ( wolf @ SV13 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(157,plain,
! [SV14: $i,SV30: $i] :
( ( ( ~ ( grain @ SV30 )
| ~ ( eats @ SV14 @ SV30 ) )
= $true )
| ( ( wolf @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(158,plain,
! [SV26: $i,SV15: $i] :
( ( ( ~ ( bird @ SV15 ) )
= $true )
| ( ( ~ ( caterpillar @ SV26 ) )
= $true )
| ( ( eats @ SV15 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(159,plain,
! [SV16: $i,SV31: $i] :
( ( ( ~ ( snail @ SV31 )
| ~ ( eats @ SV16 @ SV31 ) )
= $true )
| ( ( bird @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(160,plain,
! [SV1: $i,SV27: $i] :
( ( ( ~ ( animal @ SV27 ) )
= $true )
| ( ( ! [SY48: $i] :
( ~ ( grain @ SY48 )
| ~ ( eats @ SV1 @ SV27 )
| ~ ( eats @ SV27 @ SY48 ) ) )
= $true )
| ( ( animal @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(161,plain,
! [SV21: $i,SV28: $i,SV8: $i] :
( ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( ~ ( animal @ SV8 )
| ~ ( plant @ SV21 )
| ~ ( animal @ SV28 )
| ! [SY49: $i] :
( ~ ( plant @ SY49 )
| ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SY49 ) ) )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(162,plain,
! [SV22: $i,SV9: $i] :
( ( ( caterpillar @ SV9 )
= $false )
| ( ( ~ ( bird @ SV22 ) )
= $true )
| ( ( much_smaller @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(163,plain,
! [SV23: $i,SV10: $i] :
( ( ( snail @ SV10 )
= $false )
| ( ( ~ ( bird @ SV23 ) )
= $true )
| ( ( much_smaller @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(164,plain,
! [SV24: $i,SV11: $i] :
( ( ( bird @ SV11 )
= $false )
| ( ( ~ ( fox @ SV24 ) )
= $true )
| ( ( much_smaller @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(165,plain,
! [SV25: $i,SV12: $i] :
( ( ( fox @ SV12 )
= $false )
| ( ( ~ ( wolf @ SV25 ) )
= $true )
| ( ( much_smaller @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(166,plain,
! [SV13: $i,SV29: $i] :
( ( ( ~ ( fox @ SV29 ) )
= $true )
| ( ( ~ ( eats @ SV13 @ SV29 ) )
= $true )
| ( ( wolf @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(167,plain,
! [SV14: $i,SV30: $i] :
( ( ( ~ ( grain @ SV30 ) )
= $true )
| ( ( ~ ( eats @ SV14 @ SV30 ) )
= $true )
| ( ( wolf @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(168,plain,
! [SV26: $i,SV15: $i] :
( ( ( bird @ SV15 )
= $false )
| ( ( ~ ( caterpillar @ SV26 ) )
= $true )
| ( ( eats @ SV15 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(169,plain,
! [SV16: $i,SV31: $i] :
( ( ( ~ ( snail @ SV31 ) )
= $true )
| ( ( ~ ( eats @ SV16 @ SV31 ) )
= $true )
| ( ( bird @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(170,plain,
! [SV1: $i,SV27: $i] :
( ( ( animal @ SV27 )
= $false )
| ( ( ! [SY48: $i] :
( ~ ( grain @ SY48 )
| ~ ( eats @ SV1 @ SV27 )
| ~ ( eats @ SV27 @ SY48 ) ) )
= $true )
| ( ( animal @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(171,plain,
! [SV28: $i,SV21: $i,SV8: $i] :
( ( ( ~ ( animal @ SV8 ) )
= $true )
| ( ( ~ ( plant @ SV21 )
| ~ ( animal @ SV28 )
| ! [SY49: $i] :
( ~ ( plant @ SY49 )
| ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SY49 ) ) )
= $true )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(172,plain,
! [SV9: $i,SV22: $i] :
( ( ( bird @ SV22 )
= $false )
| ( ( caterpillar @ SV9 )
= $false )
| ( ( much_smaller @ SV9 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(173,plain,
! [SV10: $i,SV23: $i] :
( ( ( bird @ SV23 )
= $false )
| ( ( snail @ SV10 )
= $false )
| ( ( much_smaller @ SV10 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(174,plain,
! [SV11: $i,SV24: $i] :
( ( ( fox @ SV24 )
= $false )
| ( ( bird @ SV11 )
= $false )
| ( ( much_smaller @ SV11 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(175,plain,
! [SV12: $i,SV25: $i] :
( ( ( wolf @ SV25 )
= $false )
| ( ( fox @ SV12 )
= $false )
| ( ( much_smaller @ SV12 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(176,plain,
! [SV13: $i,SV29: $i] :
( ( ( fox @ SV29 )
= $false )
| ( ( ~ ( eats @ SV13 @ SV29 ) )
= $true )
| ( ( wolf @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(177,plain,
! [SV14: $i,SV30: $i] :
( ( ( grain @ SV30 )
= $false )
| ( ( ~ ( eats @ SV14 @ SV30 ) )
= $true )
| ( ( wolf @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(178,plain,
! [SV15: $i,SV26: $i] :
( ( ( caterpillar @ SV26 )
= $false )
| ( ( bird @ SV15 )
= $false )
| ( ( eats @ SV15 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(179,plain,
! [SV16: $i,SV31: $i] :
( ( ( snail @ SV31 )
= $false )
| ( ( ~ ( eats @ SV16 @ SV31 ) )
= $true )
| ( ( bird @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(180,plain,
! [SV27: $i,SV1: $i,SV32: $i] :
( ( ( ~ ( grain @ SV32 )
| ~ ( eats @ SV1 @ SV27 )
| ~ ( eats @ SV27 @ SV32 ) )
= $true )
| ( ( animal @ SV27 )
= $false )
| ( ( animal @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(181,plain,
! [SV28: $i,SV21: $i,SV8: $i] :
( ( ( animal @ SV8 )
= $false )
| ( ( ~ ( plant @ SV21 )
| ~ ( animal @ SV28 )
| ! [SY49: $i] :
( ~ ( plant @ SY49 )
| ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SY49 ) ) )
= $true )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(182,plain,
! [SV29: $i,SV13: $i] :
( ( ( eats @ SV13 @ SV29 )
= $false )
| ( ( fox @ SV29 )
= $false )
| ( ( wolf @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(183,plain,
! [SV30: $i,SV14: $i] :
( ( ( eats @ SV14 @ SV30 )
= $false )
| ( ( grain @ SV30 )
= $false )
| ( ( wolf @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(184,plain,
! [SV31: $i,SV16: $i] :
( ( ( eats @ SV16 @ SV31 )
= $false )
| ( ( snail @ SV31 )
= $false )
| ( ( bird @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(185,plain,
! [SV27: $i,SV1: $i,SV32: $i] :
( ( ( ~ ( grain @ SV32 ) )
= $true )
| ( ( ~ ( eats @ SV1 @ SV27 )
| ~ ( eats @ SV27 @ SV32 ) )
= $true )
| ( ( animal @ SV27 )
= $false )
| ( ( animal @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(186,plain,
! [SV8: $i,SV28: $i,SV21: $i] :
( ( ( ~ ( plant @ SV21 ) )
= $true )
| ( ( ~ ( animal @ SV28 )
| ! [SY49: $i] :
( ~ ( plant @ SY49 )
| ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SY49 ) ) )
= $true )
| ( ( animal @ SV8 )
= $false )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(187,plain,
! [SV27: $i,SV1: $i,SV32: $i] :
( ( ( grain @ SV32 )
= $false )
| ( ( ~ ( eats @ SV1 @ SV27 )
| ~ ( eats @ SV27 @ SV32 ) )
= $true )
| ( ( animal @ SV27 )
= $false )
| ( ( animal @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(188,plain,
! [SV8: $i,SV28: $i,SV21: $i] :
( ( ( plant @ SV21 )
= $false )
| ( ( ~ ( animal @ SV28 )
| ! [SY49: $i] :
( ~ ( plant @ SY49 )
| ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SY49 ) ) )
= $true )
| ( ( animal @ SV8 )
= $false )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(189,plain,
! [SV32: $i,SV27: $i,SV1: $i] :
( ( ( ~ ( eats @ SV1 @ SV27 ) )
= $true )
| ( ( ~ ( eats @ SV27 @ SV32 ) )
= $true )
| ( ( grain @ SV32 )
= $false )
| ( ( animal @ SV27 )
= $false )
| ( ( animal @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(190,plain,
! [SV21: $i,SV8: $i,SV28: $i] :
( ( ( ~ ( animal @ SV28 ) )
= $true )
| ( ( ! [SY49: $i] :
( ~ ( plant @ SY49 )
| ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SY49 ) ) )
= $true )
| ( ( plant @ SV21 )
= $false )
| ( ( animal @ SV8 )
= $false )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(191,plain,
! [SV32: $i,SV27: $i,SV1: $i] :
( ( ( eats @ SV1 @ SV27 )
= $false )
| ( ( ~ ( eats @ SV27 @ SV32 ) )
= $true )
| ( ( grain @ SV32 )
= $false )
| ( ( animal @ SV27 )
= $false )
| ( ( animal @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(192,plain,
! [SV21: $i,SV8: $i,SV28: $i] :
( ( ( animal @ SV28 )
= $false )
| ( ( ! [SY49: $i] :
( ~ ( plant @ SY49 )
| ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SY49 ) ) )
= $true )
| ( ( plant @ SV21 )
= $false )
| ( ( animal @ SV8 )
= $false )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(193,plain,
! [SV1: $i,SV32: $i,SV27: $i] :
( ( ( eats @ SV27 @ SV32 )
= $false )
| ( ( eats @ SV1 @ SV27 )
= $false )
| ( ( grain @ SV32 )
= $false )
| ( ( animal @ SV27 )
= $false )
| ( ( animal @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(194,plain,
! [SV21: $i,SV8: $i,SV28: $i,SV33: $i] :
( ( ( ~ ( plant @ SV33 )
| ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SV33 ) )
= $true )
| ( ( animal @ SV28 )
= $false )
| ( ( plant @ SV21 )
= $false )
| ( ( animal @ SV8 )
= $false )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(195,plain,
! [SV21: $i,SV8: $i,SV28: $i,SV33: $i] :
( ( ( ~ ( plant @ SV33 ) )
= $true )
| ( ( ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SV33 ) )
= $true )
| ( ( animal @ SV28 )
= $false )
| ( ( plant @ SV21 )
= $false )
| ( ( animal @ SV8 )
= $false )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(196,plain,
! [SV21: $i,SV8: $i,SV28: $i,SV33: $i] :
( ( ( plant @ SV33 )
= $false )
| ( ( ~ ( much_smaller @ SV28 @ SV8 )
| ~ ( eats @ SV28 @ SV33 ) )
= $true )
| ( ( animal @ SV28 )
= $false )
| ( ( plant @ SV21 )
= $false )
| ( ( animal @ SV8 )
= $false )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(197,plain,
! [SV21: $i,SV33: $i,SV8: $i,SV28: $i] :
( ( ( ~ ( much_smaller @ SV28 @ SV8 ) )
= $true )
| ( ( ~ ( eats @ SV28 @ SV33 ) )
= $true )
| ( ( plant @ SV33 )
= $false )
| ( ( animal @ SV28 )
= $false )
| ( ( plant @ SV21 )
= $false )
| ( ( animal @ SV8 )
= $false )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(198,plain,
! [SV21: $i,SV33: $i,SV8: $i,SV28: $i] :
( ( ( much_smaller @ SV28 @ SV8 )
= $false )
| ( ( ~ ( eats @ SV28 @ SV33 ) )
= $true )
| ( ( plant @ SV33 )
= $false )
| ( ( animal @ SV28 )
= $false )
| ( ( plant @ SV21 )
= $false )
| ( ( animal @ SV8 )
= $false )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(199,plain,
! [SV21: $i,SV8: $i,SV33: $i,SV28: $i] :
( ( ( eats @ SV28 @ SV33 )
= $false )
| ( ( much_smaller @ SV28 @ SV8 )
= $false )
| ( ( plant @ SV33 )
= $false )
| ( ( animal @ SV28 )
= $false )
| ( ( plant @ SV21 )
= $false )
| ( ( animal @ SV8 )
= $false )
| ( ( eats @ SV8 @ SV28 )
= $true )
| ( ( eats @ SV8 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(200,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[68,199,193,184,183,182,178,175,174,173,172,149,148,147,146,136,135,134,133,132,131,109,73,72,71,70,69]) ).
thf(201,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PUZ031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat May 28 22:31:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.36
% 0.14/0.36 No.of.Axioms: 26
% 0.14/0.36
% 0.14/0.36 Length.of.Defs: 0
% 0.14/0.36
% 0.14/0.36 Contains.Choice.Funs: false
% 0.14/0.37 .
% 0.14/0.37 (rf:0,axioms:26,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:28,loop_count:0,foatp_calls:0,translation:fof_full)........
% 0.20/0.49
% 0.20/0.49 ********************************
% 0.20/0.49 * All subproblems solved! *
% 0.20/0.49 ********************************
% 0.20/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:26,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:200,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.50
% 0.20/0.50 %**** Beginning of derivation protocol ****
% 0.20/0.50 % SZS output start CNFRefutation
% See solution above
% 0.20/0.50
% 0.20/0.50 %**** End of derivation protocol ****
% 0.20/0.50 %**** no. of clauses in derivation: 201 ****
% 0.20/0.50 %**** clause counter: 200 ****
% 0.20/0.50
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:26,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:200,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------