TSTP Solution File: PUZ031+2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n024.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 : Theorem 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 42
% Syntax : Number of formulae : 234 ( 111 unt; 18 typ; 0 def)
% Number of atoms : 1441 ( 377 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 1741 ( 324 ~; 387 |; 46 &; 946 @)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 388 ( 0 ^ 358 !; 30 ?; 388 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_animal,type,
animal: $i > $o ).
thf(tp_bird,type,
bird: $i > $o ).
thf(tp_caterpillar,type,
caterpillar: $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_much_smaller,type,
much_smaller: $i > $i > $o ).
thf(tp_plant,type,
plant: $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i ).
thf(tp_sK3_A,type,
sK3_A: $i ).
thf(tp_sK4_A,type,
sK4_A: $i ).
thf(tp_sK5_A,type,
sK5_A: $i ).
thf(tp_sK6_A,type,
sK6_A: $i ).
thf(tp_sK7_A,type,
sK7_A: $i ).
thf(tp_sK8_A,type,
sK8_A: $i ).
thf(tp_snail,type,
snail: $i > $o ).
thf(tp_wolf,type,
wolf: $i > $o ).
thf(1,axiom,
! [X: $i] :
( ( snail @ X )
=> ? [Y: $i] :
( ( plant @ Y )
& ( eats @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).
thf(2,axiom,
! [X: $i] :
( ( caterpillar @ X )
=> ? [Y: $i] :
( ( plant @ Y )
& ( eats @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( ( bird @ X )
& ( snail @ Y ) )
=> ~ ( eats @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( ( bird @ X )
& ( caterpillar @ Y ) )
=> ( eats @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_12) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( ( wolf @ X )
& ( grain @ Y ) )
=> ~ ( eats @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( ( wolf @ X )
& ( fox @ Y ) )
=> ~ ( eats @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( ( fox @ X )
& ( wolf @ Y ) )
=> ( much_smaller @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
thf(8,axiom,
! [X: $i,Y: $i] :
( ( ( bird @ X )
& ( fox @ Y ) )
=> ( much_smaller @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).
thf(9,axiom,
! [Y: $i,X: $i] :
( ( ( bird @ Y )
& ( caterpillar @ X ) )
=> ( much_smaller @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8a) ).
thf(10,axiom,
! [Y: $i,X: $i] :
( ( ( bird @ Y )
& ( snail @ X ) )
=> ( much_smaller @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
thf(11,axiom,
! [X: $i] :
( ( animal @ X )
=> ( ! [Y: $i] :
( ( plant @ Y )
=> ( eats @ X @ Y ) )
| ! [Y1: $i] :
( ( ( animal @ Y1 )
& ( much_smaller @ Y1 @ X )
& ? [Z: $i] :
( ( plant @ Z )
& ( eats @ Y1 @ Z ) ) )
=> ( eats @ X @ Y1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).
thf(12,axiom,
! [X: $i] :
( ( grain @ X )
=> ( plant @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_6_2) ).
thf(13,axiom,
? [A: $i] : ( grain @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).
thf(14,axiom,
! [X: $i] :
( ( snail @ X )
=> ( animal @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_4_2) ).
thf(15,axiom,
! [X: $i] :
( ( caterpillar @ X )
=> ( animal @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_4_1) ).
thf(16,axiom,
! [X: $i] :
( ( bird @ X )
=> ( animal @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_3_1) ).
thf(17,axiom,
! [X: $i] :
( ( fox @ X )
=> ( animal @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_2_1) ).
thf(18,axiom,
! [X: $i] :
( ( wolf @ X )
=> ( animal @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_1_1) ).
thf(19,axiom,
? [A: $i] : ( snail @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).
thf(20,axiom,
? [A: $i] : ( caterpillar @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',caterpillar_type) ).
thf(21,axiom,
? [A: $i] : ( bird @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).
thf(22,axiom,
? [A: $i] : ( fox @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).
thf(23,axiom,
? [A: $i] : ( wolf @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).
thf(24,conjecture,
? [X: $i,Y: $i] :
( ( animal @ X )
& ( animal @ Y )
& ? [Z: $i] :
( ( grain @ Z )
& ( eats @ Y @ Z )
& ( eats @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
thf(25,negated_conjecture,
( ( ? [X: $i,Y: $i] :
( ( animal @ X )
& ( animal @ Y )
& ? [Z: $i] :
( ( grain @ Z )
& ( eats @ Y @ Z )
& ( eats @ X @ Y ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[24]) ).
thf(26,plain,
( ( ? [X: $i,Y: $i] :
( ( animal @ X )
& ( animal @ Y )
& ? [Z: $i] :
( ( grain @ Z )
& ( eats @ Y @ Z )
& ( eats @ X @ Y ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[25]) ).
thf(27,plain,
( ( ! [X: $i] :
( ( snail @ X )
=> ? [Y: $i] :
( ( plant @ Y )
& ( eats @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(28,plain,
( ( ! [X: $i] :
( ( caterpillar @ X )
=> ? [Y: $i] :
( ( plant @ Y )
& ( eats @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i] :
( ( ( bird @ X )
& ( snail @ Y ) )
=> ~ ( eats @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i] :
( ( ( bird @ X )
& ( caterpillar @ Y ) )
=> ( eats @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(31,plain,
( ( ! [X: $i,Y: $i] :
( ( ( wolf @ X )
& ( grain @ Y ) )
=> ~ ( eats @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ( ( wolf @ X )
& ( fox @ Y ) )
=> ~ ( eats @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i] :
( ( ( fox @ X )
& ( wolf @ Y ) )
=> ( much_smaller @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(34,plain,
( ( ! [X: $i,Y: $i] :
( ( ( bird @ X )
& ( fox @ Y ) )
=> ( much_smaller @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(35,plain,
( ( ! [Y: $i,X: $i] :
( ( ( bird @ Y )
& ( caterpillar @ X ) )
=> ( much_smaller @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(36,plain,
( ( ! [Y: $i,X: $i] :
( ( ( bird @ Y )
& ( snail @ X ) )
=> ( much_smaller @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(37,plain,
( ( ! [X: $i] :
( ( animal @ X )
=> ( ! [Y: $i] :
( ( plant @ Y )
=> ( eats @ X @ Y ) )
| ! [Y1: $i] :
( ( ( animal @ Y1 )
& ( much_smaller @ Y1 @ X )
& ? [Z: $i] :
( ( plant @ Z )
& ( eats @ Y1 @ Z ) ) )
=> ( eats @ X @ Y1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(38,plain,
( ( ! [X: $i] :
( ( grain @ X )
=> ( plant @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(39,plain,
( ( ? [A: $i] : ( grain @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(40,plain,
( ( ! [X: $i] :
( ( snail @ X )
=> ( animal @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(41,plain,
( ( ! [X: $i] :
( ( caterpillar @ X )
=> ( animal @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(42,plain,
( ( ! [X: $i] :
( ( bird @ X )
=> ( animal @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(43,plain,
( ( ! [X: $i] :
( ( fox @ X )
=> ( animal @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(44,plain,
( ( ! [X: $i] :
( ( wolf @ X )
=> ( animal @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(45,plain,
( ( ? [A: $i] : ( snail @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(46,plain,
( ( ? [A: $i] : ( caterpillar @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(47,plain,
( ( ? [A: $i] : ( bird @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(48,plain,
( ( ? [A: $i] : ( fox @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(49,plain,
( ( ? [A: $i] : ( wolf @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(50,plain,
( ( ~ ? [X: $i,Y: $i] :
( ( animal @ X )
& ( animal @ Y )
& ? [Z: $i] :
( ( grain @ Z )
& ( eats @ Y @ Z )
& ( eats @ X @ Y ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( animal @ X )
| ~ ( animal @ Y )
| ! [Z: $i] :
( ~ ( eats @ Y @ Z )
| ~ ( grain @ Z ) )
| ~ ( eats @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(52,plain,
( ( ! [X: $i] :
( ~ ( snail @ X )
| ( ( eats @ X @ ( sK1_Y @ X ) )
& ( plant @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(53,plain,
( ( ! [X: $i] :
( ~ ( caterpillar @ X )
| ( ( eats @ X @ ( sK2_Y @ X ) )
& ( plant @ ( sK2_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(54,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( bird @ X )
| ~ ( snail @ Y )
| ~ ( eats @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(55,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( bird @ X )
| ~ ( caterpillar @ Y )
| ( eats @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(56,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( grain @ Y )
| ~ ( wolf @ X )
| ~ ( eats @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( fox @ Y )
| ~ ( wolf @ X )
| ~ ( eats @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( fox @ X )
| ~ ( wolf @ Y )
| ( much_smaller @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( bird @ X )
| ~ ( fox @ Y )
| ( much_smaller @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(60,plain,
( ( ! [Y: $i,X: $i] :
( ~ ( bird @ Y )
| ~ ( caterpillar @ X )
| ( much_smaller @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(61,plain,
( ( ! [Y: $i,X: $i] :
( ~ ( bird @ Y )
| ~ ( snail @ X )
| ( much_smaller @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(62,plain,
( ( ! [X: $i] :
( ~ ( animal @ X )
| ! [Y: $i] :
( ~ ( plant @ Y )
| ( eats @ X @ Y ) )
| ! [Y1: $i] :
( ~ ( animal @ Y1 )
| ~ ( much_smaller @ Y1 @ X )
| ! [Z: $i] :
( ~ ( eats @ Y1 @ Z )
| ~ ( plant @ Z ) )
| ( eats @ X @ Y1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(63,plain,
( ( ! [X: $i] :
( ~ ( grain @ X )
| ( plant @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(64,plain,
( ( grain @ sK3_A )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(65,plain,
( ( ! [X: $i] :
( ~ ( snail @ X )
| ( animal @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(66,plain,
( ( ! [X: $i] :
( ~ ( caterpillar @ X )
| ( animal @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(67,plain,
( ( ! [X: $i] :
( ~ ( bird @ X )
| ( animal @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(68,plain,
( ( ! [X: $i] :
( ~ ( fox @ X )
| ( animal @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(69,plain,
( ( ! [X: $i] :
( ~ ( wolf @ X )
| ( animal @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(70,plain,
( ( snail @ sK4_A )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(71,plain,
( ( caterpillar @ sK5_A )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(72,plain,
( ( bird @ sK6_A )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(73,plain,
( ( fox @ sK7_A )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(74,plain,
( ( wolf @ sK8_A )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(75,plain,
( ( wolf @ sK8_A )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(76,plain,
( ( fox @ sK7_A )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(77,plain,
( ( bird @ sK6_A )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(78,plain,
( ( caterpillar @ sK5_A )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(79,plain,
( ( snail @ sK4_A )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(80,plain,
( ( ! [X: $i] :
( ~ ( wolf @ X )
| ( animal @ X ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(81,plain,
( ( ! [X: $i] :
( ~ ( fox @ X )
| ( animal @ X ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(82,plain,
( ( ! [X: $i] :
( ~ ( bird @ X )
| ( animal @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(83,plain,
( ( ! [X: $i] :
( ~ ( caterpillar @ X )
| ( animal @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(84,plain,
( ( ! [X: $i] :
( ~ ( snail @ X )
| ( animal @ X ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(85,plain,
( ( grain @ sK3_A )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(86,plain,
( ( ! [X: $i] :
( ~ ( grain @ X )
| ( plant @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(87,plain,
( ( ! [X: $i] :
( ~ ( animal @ X )
| ! [Y: $i] :
( ~ ( plant @ Y )
| ( eats @ X @ Y ) )
| ! [Y1: $i] :
( ~ ( animal @ Y1 )
| ~ ( much_smaller @ Y1 @ X )
| ! [Z: $i] :
( ~ ( eats @ Y1 @ Z )
| ~ ( plant @ Z ) )
| ( eats @ X @ Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(88,plain,
( ( ! [Y: $i,X: $i] :
( ~ ( bird @ Y )
| ~ ( snail @ X )
| ( much_smaller @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(89,plain,
( ( ! [Y: $i,X: $i] :
( ~ ( bird @ Y )
| ~ ( caterpillar @ X )
| ( much_smaller @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(90,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( bird @ X )
| ~ ( fox @ Y )
| ( much_smaller @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(91,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( fox @ X )
| ~ ( wolf @ Y )
| ( much_smaller @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(92,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( fox @ Y )
| ~ ( wolf @ X )
| ~ ( eats @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(93,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( grain @ Y )
| ~ ( wolf @ X )
| ~ ( eats @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(94,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( bird @ X )
| ~ ( caterpillar @ Y )
| ( eats @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(95,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( bird @ X )
| ~ ( snail @ Y )
| ~ ( eats @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(96,plain,
( ( ! [X: $i] :
( ~ ( caterpillar @ X )
| ( ( eats @ X @ ( sK2_Y @ X ) )
& ( plant @ ( sK2_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(97,plain,
( ( ! [X: $i] :
( ~ ( snail @ X )
| ( ( eats @ X @ ( sK1_Y @ X ) )
& ( plant @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(98,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( animal @ X )
| ~ ( animal @ Y )
| ! [Z: $i] :
( ~ ( eats @ Y @ Z )
| ~ ( grain @ Z ) )
| ~ ( eats @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(99,plain,
( ( ! [SX0: $i] :
( ~ ( snail @ SX0 )
| ~ ( ~ ( eats @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ( plant @ ( sK1_Y @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(100,plain,
( ( ! [SX0: $i] :
( ~ ( caterpillar @ SX0 )
| ~ ( ~ ( eats @ SX0 @ ( sK2_Y @ SX0 ) )
| ~ ( plant @ ( sK2_Y @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(101,plain,
! [SV1: $i] :
( ( ~ ( wolf @ SV1 )
| ( animal @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(102,plain,
! [SV2: $i] :
( ( ~ ( fox @ SV2 )
| ( animal @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(103,plain,
! [SV3: $i] :
( ( ~ ( bird @ SV3 )
| ( animal @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(104,plain,
! [SV4: $i] :
( ( ~ ( caterpillar @ SV4 )
| ( animal @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(105,plain,
! [SV5: $i] :
( ( ~ ( snail @ SV5 )
| ( animal @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(106,plain,
! [SV6: $i] :
( ( ~ ( grain @ SV6 )
| ( plant @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(107,plain,
! [SV7: $i] :
( ( ~ ( animal @ SV7 )
| ! [SY39: $i] :
( ~ ( plant @ SY39 )
| ( eats @ SV7 @ SY39 ) )
| ! [SY40: $i] :
( ~ ( animal @ SY40 )
| ~ ( much_smaller @ SY40 @ SV7 )
| ! [Z: $i] :
( ~ ( eats @ SY40 @ Z )
| ~ ( plant @ Z ) )
| ( eats @ SV7 @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(108,plain,
! [SV8: $i] :
( ( ! [SY42: $i] :
( ~ ( bird @ SV8 )
| ~ ( snail @ SY42 )
| ( much_smaller @ SY42 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(109,plain,
! [SV9: $i] :
( ( ! [SY43: $i] :
( ~ ( bird @ SV9 )
| ~ ( caterpillar @ SY43 )
| ( much_smaller @ SY43 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(110,plain,
! [SV10: $i] :
( ( ! [SY44: $i] :
( ~ ( bird @ SV10 )
| ~ ( fox @ SY44 )
| ( much_smaller @ SV10 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(111,plain,
! [SV11: $i] :
( ( ! [SY45: $i] :
( ~ ( fox @ SV11 )
| ~ ( wolf @ SY45 )
| ( much_smaller @ SV11 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(112,plain,
! [SV12: $i] :
( ( ! [SY46: $i] :
( ~ ( fox @ SY46 )
| ~ ( wolf @ SV12 )
| ~ ( eats @ SV12 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(113,plain,
! [SV13: $i] :
( ( ! [SY47: $i] :
( ~ ( grain @ SY47 )
| ~ ( wolf @ SV13 )
| ~ ( eats @ SV13 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(114,plain,
! [SV14: $i] :
( ( ! [SY48: $i] :
( ~ ( bird @ SV14 )
| ~ ( caterpillar @ SY48 )
| ( eats @ SV14 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(115,plain,
! [SV15: $i] :
( ( ! [SY49: $i] :
( ~ ( bird @ SV15 )
| ~ ( snail @ SY49 )
| ~ ( eats @ SV15 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(116,plain,
! [SV16: $i] :
( ( ! [SY50: $i] :
( ~ ( animal @ SV16 )
| ~ ( animal @ SY50 )
| ! [Z: $i] :
( ~ ( eats @ SY50 @ Z )
| ~ ( grain @ Z ) )
| ~ ( eats @ SV16 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(117,plain,
! [SV17: $i] :
( ( ~ ( snail @ SV17 )
| ~ ( ~ ( eats @ SV17 @ ( sK1_Y @ SV17 ) )
| ~ ( plant @ ( sK1_Y @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(118,plain,
! [SV18: $i] :
( ( ~ ( caterpillar @ SV18 )
| ~ ( ~ ( eats @ SV18 @ ( sK2_Y @ SV18 ) )
| ~ ( plant @ ( sK2_Y @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(119,plain,
! [SV1: $i] :
( ( ( ~ ( wolf @ SV1 ) )
= $true )
| ( ( animal @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(120,plain,
! [SV2: $i] :
( ( ( ~ ( fox @ SV2 ) )
= $true )
| ( ( animal @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(121,plain,
! [SV3: $i] :
( ( ( ~ ( bird @ SV3 ) )
= $true )
| ( ( animal @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(122,plain,
! [SV4: $i] :
( ( ( ~ ( caterpillar @ SV4 ) )
= $true )
| ( ( animal @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(123,plain,
! [SV5: $i] :
( ( ( ~ ( snail @ SV5 ) )
= $true )
| ( ( animal @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(124,plain,
! [SV6: $i] :
( ( ( ~ ( grain @ SV6 ) )
= $true )
| ( ( plant @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(125,plain,
! [SV7: $i] :
( ( ( ~ ( animal @ SV7 ) )
= $true )
| ( ( ! [SY39: $i] :
( ~ ( plant @ SY39 )
| ( eats @ SV7 @ SY39 ) )
| ! [SY40: $i] :
( ~ ( animal @ SY40 )
| ~ ( much_smaller @ SY40 @ SV7 )
| ! [Z: $i] :
( ~ ( eats @ SY40 @ Z )
| ~ ( plant @ Z ) )
| ( eats @ SV7 @ SY40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(126,plain,
! [SV19: $i,SV8: $i] :
( ( ~ ( bird @ SV8 )
| ~ ( snail @ SV19 )
| ( much_smaller @ SV19 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(127,plain,
! [SV20: $i,SV9: $i] :
( ( ~ ( bird @ SV9 )
| ~ ( caterpillar @ SV20 )
| ( much_smaller @ SV20 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(128,plain,
! [SV21: $i,SV10: $i] :
( ( ~ ( bird @ SV10 )
| ~ ( fox @ SV21 )
| ( much_smaller @ SV10 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(129,plain,
! [SV22: $i,SV11: $i] :
( ( ~ ( fox @ SV11 )
| ~ ( wolf @ SV22 )
| ( much_smaller @ SV11 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(130,plain,
! [SV12: $i,SV23: $i] :
( ( ~ ( fox @ SV23 )
| ~ ( wolf @ SV12 )
| ~ ( eats @ SV12 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(131,plain,
! [SV13: $i,SV24: $i] :
( ( ~ ( grain @ SV24 )
| ~ ( wolf @ SV13 )
| ~ ( eats @ SV13 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(132,plain,
! [SV25: $i,SV14: $i] :
( ( ~ ( bird @ SV14 )
| ~ ( caterpillar @ SV25 )
| ( eats @ SV14 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(133,plain,
! [SV26: $i,SV15: $i] :
( ( ~ ( bird @ SV15 )
| ~ ( snail @ SV26 )
| ~ ( eats @ SV15 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(134,plain,
! [SV27: $i,SV16: $i] :
( ( ~ ( animal @ SV16 )
| ~ ( animal @ SV27 )
| ! [SY52: $i] :
( ~ ( eats @ SV27 @ SY52 )
| ~ ( grain @ SY52 ) )
| ~ ( eats @ SV16 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(135,plain,
! [SV17: $i] :
( ( ( ~ ( snail @ SV17 ) )
= $true )
| ( ( ~ ( ~ ( eats @ SV17 @ ( sK1_Y @ SV17 ) )
| ~ ( plant @ ( sK1_Y @ SV17 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(136,plain,
! [SV18: $i] :
( ( ( ~ ( caterpillar @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( eats @ SV18 @ ( sK2_Y @ SV18 ) )
| ~ ( plant @ ( sK2_Y @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(137,plain,
! [SV1: $i] :
( ( ( wolf @ SV1 )
= $false )
| ( ( animal @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(138,plain,
! [SV2: $i] :
( ( ( fox @ SV2 )
= $false )
| ( ( animal @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(139,plain,
! [SV3: $i] :
( ( ( bird @ SV3 )
= $false )
| ( ( animal @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(140,plain,
! [SV4: $i] :
( ( ( caterpillar @ SV4 )
= $false )
| ( ( animal @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(141,plain,
! [SV5: $i] :
( ( ( snail @ SV5 )
= $false )
| ( ( animal @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(142,plain,
! [SV6: $i] :
( ( ( grain @ SV6 )
= $false )
| ( ( plant @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(143,plain,
! [SV7: $i] :
( ( ( animal @ SV7 )
= $false )
| ( ( ! [SY39: $i] :
( ~ ( plant @ SY39 )
| ( eats @ SV7 @ SY39 ) )
| ! [SY40: $i] :
( ~ ( animal @ SY40 )
| ~ ( much_smaller @ SY40 @ SV7 )
| ! [Z: $i] :
( ~ ( eats @ SY40 @ Z )
| ~ ( plant @ Z ) )
| ( eats @ SV7 @ SY40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(144,plain,
! [SV19: $i,SV8: $i] :
( ( ( ~ ( bird @ SV8 )
| ~ ( snail @ SV19 ) )
= $true )
| ( ( much_smaller @ SV19 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(145,plain,
! [SV20: $i,SV9: $i] :
( ( ( ~ ( bird @ SV9 )
| ~ ( caterpillar @ SV20 ) )
= $true )
| ( ( much_smaller @ SV20 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(146,plain,
! [SV21: $i,SV10: $i] :
( ( ( ~ ( bird @ SV10 )
| ~ ( fox @ SV21 ) )
= $true )
| ( ( much_smaller @ SV10 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(147,plain,
! [SV22: $i,SV11: $i] :
( ( ( ~ ( fox @ SV11 )
| ~ ( wolf @ SV22 ) )
= $true )
| ( ( much_smaller @ SV11 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(148,plain,
! [SV12: $i,SV23: $i] :
( ( ( ~ ( fox @ SV23 )
| ~ ( wolf @ SV12 ) )
= $true )
| ( ( ~ ( eats @ SV12 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(149,plain,
! [SV13: $i,SV24: $i] :
( ( ( ~ ( grain @ SV24 )
| ~ ( wolf @ SV13 ) )
= $true )
| ( ( ~ ( eats @ SV13 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(150,plain,
! [SV25: $i,SV14: $i] :
( ( ( ~ ( bird @ SV14 )
| ~ ( caterpillar @ SV25 ) )
= $true )
| ( ( eats @ SV14 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(151,plain,
! [SV26: $i,SV15: $i] :
( ( ( ~ ( bird @ SV15 )
| ~ ( snail @ SV26 ) )
= $true )
| ( ( ~ ( eats @ SV15 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(152,plain,
! [SV27: $i,SV16: $i] :
( ( ( ~ ( animal @ SV16 )
| ~ ( animal @ SV27 ) )
= $true )
| ( ( ! [SY52: $i] :
( ~ ( eats @ SV27 @ SY52 )
| ~ ( grain @ SY52 ) )
| ~ ( eats @ SV16 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(153,plain,
! [SV17: $i] :
( ( ( snail @ SV17 )
= $false )
| ( ( ~ ( ~ ( eats @ SV17 @ ( sK1_Y @ SV17 ) )
| ~ ( plant @ ( sK1_Y @ SV17 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(154,plain,
! [SV18: $i] :
( ( ( caterpillar @ SV18 )
= $false )
| ( ( ~ ( ~ ( eats @ SV18 @ ( sK2_Y @ SV18 ) )
| ~ ( plant @ ( sK2_Y @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(155,plain,
! [SV7: $i] :
( ( ( ! [SY39: $i] :
( ~ ( plant @ SY39 )
| ( eats @ SV7 @ SY39 ) ) )
= $true )
| ( ( ! [SY40: $i] :
( ~ ( animal @ SY40 )
| ~ ( much_smaller @ SY40 @ SV7 )
| ! [Z: $i] :
( ~ ( eats @ SY40 @ Z )
| ~ ( plant @ Z ) )
| ( eats @ SV7 @ SY40 ) ) )
= $true )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(156,plain,
! [SV19: $i,SV8: $i] :
( ( ( ~ ( bird @ SV8 ) )
= $true )
| ( ( ~ ( snail @ SV19 ) )
= $true )
| ( ( much_smaller @ SV19 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(157,plain,
! [SV20: $i,SV9: $i] :
( ( ( ~ ( bird @ SV9 ) )
= $true )
| ( ( ~ ( caterpillar @ SV20 ) )
= $true )
| ( ( much_smaller @ SV20 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(158,plain,
! [SV21: $i,SV10: $i] :
( ( ( ~ ( bird @ SV10 ) )
= $true )
| ( ( ~ ( fox @ SV21 ) )
= $true )
| ( ( much_smaller @ SV10 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(159,plain,
! [SV22: $i,SV11: $i] :
( ( ( ~ ( fox @ SV11 ) )
= $true )
| ( ( ~ ( wolf @ SV22 ) )
= $true )
| ( ( much_smaller @ SV11 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(160,plain,
! [SV12: $i,SV23: $i] :
( ( ( ~ ( fox @ SV23 ) )
= $true )
| ( ( ~ ( wolf @ SV12 ) )
= $true )
| ( ( ~ ( eats @ SV12 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(161,plain,
! [SV13: $i,SV24: $i] :
( ( ( ~ ( grain @ SV24 ) )
= $true )
| ( ( ~ ( wolf @ SV13 ) )
= $true )
| ( ( ~ ( eats @ SV13 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(162,plain,
! [SV25: $i,SV14: $i] :
( ( ( ~ ( bird @ SV14 ) )
= $true )
| ( ( ~ ( caterpillar @ SV25 ) )
= $true )
| ( ( eats @ SV14 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(163,plain,
! [SV26: $i,SV15: $i] :
( ( ( ~ ( bird @ SV15 ) )
= $true )
| ( ( ~ ( snail @ SV26 ) )
= $true )
| ( ( ~ ( eats @ SV15 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(164,plain,
! [SV27: $i,SV16: $i] :
( ( ( ~ ( animal @ SV16 ) )
= $true )
| ( ( ~ ( animal @ SV27 ) )
= $true )
| ( ( ! [SY52: $i] :
( ~ ( eats @ SV27 @ SY52 )
| ~ ( grain @ SY52 ) )
| ~ ( eats @ SV16 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(165,plain,
! [SV17: $i] :
( ( ( ~ ( eats @ SV17 @ ( sK1_Y @ SV17 ) )
| ~ ( plant @ ( sK1_Y @ SV17 ) ) )
= $false )
| ( ( snail @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(166,plain,
! [SV18: $i] :
( ( ( ~ ( eats @ SV18 @ ( sK2_Y @ SV18 ) )
| ~ ( plant @ ( sK2_Y @ SV18 ) ) )
= $false )
| ( ( caterpillar @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(167,plain,
! [SV7: $i,SV28: $i] :
( ( ( ~ ( plant @ SV28 )
| ( eats @ SV7 @ SV28 ) )
= $true )
| ( ( ! [SY40: $i] :
( ~ ( animal @ SY40 )
| ~ ( much_smaller @ SY40 @ SV7 )
| ! [Z: $i] :
( ~ ( eats @ SY40 @ Z )
| ~ ( plant @ Z ) )
| ( eats @ SV7 @ SY40 ) ) )
= $true )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(168,plain,
! [SV19: $i,SV8: $i] :
( ( ( bird @ SV8 )
= $false )
| ( ( ~ ( snail @ SV19 ) )
= $true )
| ( ( much_smaller @ SV19 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(169,plain,
! [SV20: $i,SV9: $i] :
( ( ( bird @ SV9 )
= $false )
| ( ( ~ ( caterpillar @ SV20 ) )
= $true )
| ( ( much_smaller @ SV20 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(170,plain,
! [SV21: $i,SV10: $i] :
( ( ( bird @ SV10 )
= $false )
| ( ( ~ ( fox @ SV21 ) )
= $true )
| ( ( much_smaller @ SV10 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(171,plain,
! [SV22: $i,SV11: $i] :
( ( ( fox @ SV11 )
= $false )
| ( ( ~ ( wolf @ SV22 ) )
= $true )
| ( ( much_smaller @ SV11 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(172,plain,
! [SV12: $i,SV23: $i] :
( ( ( fox @ SV23 )
= $false )
| ( ( ~ ( wolf @ SV12 ) )
= $true )
| ( ( ~ ( eats @ SV12 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(173,plain,
! [SV13: $i,SV24: $i] :
( ( ( grain @ SV24 )
= $false )
| ( ( ~ ( wolf @ SV13 ) )
= $true )
| ( ( ~ ( eats @ SV13 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(174,plain,
! [SV25: $i,SV14: $i] :
( ( ( bird @ SV14 )
= $false )
| ( ( ~ ( caterpillar @ SV25 ) )
= $true )
| ( ( eats @ SV14 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(175,plain,
! [SV26: $i,SV15: $i] :
( ( ( bird @ SV15 )
= $false )
| ( ( ~ ( snail @ SV26 ) )
= $true )
| ( ( ~ ( eats @ SV15 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(176,plain,
! [SV27: $i,SV16: $i] :
( ( ( animal @ SV16 )
= $false )
| ( ( ~ ( animal @ SV27 ) )
= $true )
| ( ( ! [SY52: $i] :
( ~ ( eats @ SV27 @ SY52 )
| ~ ( grain @ SY52 ) )
| ~ ( eats @ SV16 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(177,plain,
! [SV17: $i] :
( ( ( ~ ( eats @ SV17 @ ( sK1_Y @ SV17 ) ) )
= $false )
| ( ( snail @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(178,plain,
! [SV17: $i] :
( ( ( ~ ( plant @ ( sK1_Y @ SV17 ) ) )
= $false )
| ( ( snail @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(179,plain,
! [SV18: $i] :
( ( ( ~ ( eats @ SV18 @ ( sK2_Y @ SV18 ) ) )
= $false )
| ( ( caterpillar @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(180,plain,
! [SV18: $i] :
( ( ( ~ ( plant @ ( sK2_Y @ SV18 ) ) )
= $false )
| ( ( caterpillar @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[166]) ).
thf(181,plain,
! [SV7: $i,SV28: $i] :
( ( ( ~ ( plant @ SV28 ) )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( ! [SY40: $i] :
( ~ ( animal @ SY40 )
| ~ ( much_smaller @ SY40 @ SV7 )
| ! [Z: $i] :
( ~ ( eats @ SY40 @ Z )
| ~ ( plant @ Z ) )
| ( eats @ SV7 @ SY40 ) ) )
= $true )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(182,plain,
! [SV8: $i,SV19: $i] :
( ( ( snail @ SV19 )
= $false )
| ( ( bird @ SV8 )
= $false )
| ( ( much_smaller @ SV19 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(183,plain,
! [SV9: $i,SV20: $i] :
( ( ( caterpillar @ SV20 )
= $false )
| ( ( bird @ SV9 )
= $false )
| ( ( much_smaller @ SV20 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(184,plain,
! [SV10: $i,SV21: $i] :
( ( ( fox @ SV21 )
= $false )
| ( ( bird @ SV10 )
= $false )
| ( ( much_smaller @ SV10 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(185,plain,
! [SV11: $i,SV22: $i] :
( ( ( wolf @ SV22 )
= $false )
| ( ( fox @ SV11 )
= $false )
| ( ( much_smaller @ SV11 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(186,plain,
! [SV23: $i,SV12: $i] :
( ( ( wolf @ SV12 )
= $false )
| ( ( fox @ SV23 )
= $false )
| ( ( ~ ( eats @ SV12 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(187,plain,
! [SV24: $i,SV13: $i] :
( ( ( wolf @ SV13 )
= $false )
| ( ( grain @ SV24 )
= $false )
| ( ( ~ ( eats @ SV13 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(188,plain,
! [SV14: $i,SV25: $i] :
( ( ( caterpillar @ SV25 )
= $false )
| ( ( bird @ SV14 )
= $false )
| ( ( eats @ SV14 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(189,plain,
! [SV15: $i,SV26: $i] :
( ( ( snail @ SV26 )
= $false )
| ( ( bird @ SV15 )
= $false )
| ( ( ~ ( eats @ SV15 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(190,plain,
! [SV16: $i,SV27: $i] :
( ( ( animal @ SV27 )
= $false )
| ( ( animal @ SV16 )
= $false )
| ( ( ! [SY52: $i] :
( ~ ( eats @ SV27 @ SY52 )
| ~ ( grain @ SY52 ) )
| ~ ( eats @ SV16 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(191,plain,
! [SV17: $i] :
( ( ( eats @ SV17 @ ( sK1_Y @ SV17 ) )
= $true )
| ( ( snail @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[177]) ).
thf(192,plain,
! [SV17: $i] :
( ( ( plant @ ( sK1_Y @ SV17 ) )
= $true )
| ( ( snail @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(193,plain,
! [SV18: $i] :
( ( ( eats @ SV18 @ ( sK2_Y @ SV18 ) )
= $true )
| ( ( caterpillar @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(194,plain,
! [SV18: $i] :
( ( ( plant @ ( sK2_Y @ SV18 ) )
= $true )
| ( ( caterpillar @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(195,plain,
! [SV7: $i,SV28: $i] :
( ( ( plant @ SV28 )
= $false )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( ! [SY40: $i] :
( ~ ( animal @ SY40 )
| ~ ( much_smaller @ SY40 @ SV7 )
| ! [Z: $i] :
( ~ ( eats @ SY40 @ Z )
| ~ ( plant @ Z ) )
| ( eats @ SV7 @ SY40 ) ) )
= $true )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(196,plain,
! [SV23: $i,SV12: $i] :
( ( ( eats @ SV12 @ SV23 )
= $false )
| ( ( fox @ SV23 )
= $false )
| ( ( wolf @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(197,plain,
! [SV24: $i,SV13: $i] :
( ( ( eats @ SV13 @ SV24 )
= $false )
| ( ( grain @ SV24 )
= $false )
| ( ( wolf @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(198,plain,
! [SV26: $i,SV15: $i] :
( ( ( eats @ SV15 @ SV26 )
= $false )
| ( ( bird @ SV15 )
= $false )
| ( ( snail @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(199,plain,
! [SV16: $i,SV27: $i] :
( ( ( ! [SY52: $i] :
( ~ ( eats @ SV27 @ SY52 )
| ~ ( grain @ SY52 ) ) )
= $true )
| ( ( ~ ( eats @ SV16 @ SV27 ) )
= $true )
| ( ( animal @ SV16 )
= $false )
| ( ( animal @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(200,plain,
! [SV28: $i,SV7: $i,SV29: $i] :
( ( ( ~ ( animal @ SV29 )
| ~ ( much_smaller @ SV29 @ SV7 )
| ! [SY53: $i] :
( ~ ( eats @ SV29 @ SY53 )
| ~ ( plant @ SY53 ) )
| ( eats @ SV7 @ SV29 ) )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( plant @ SV28 )
= $false )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(201,plain,
! [SV16: $i,SV30: $i,SV27: $i] :
( ( ( ~ ( eats @ SV27 @ SV30 )
| ~ ( grain @ SV30 ) )
= $true )
| ( ( ~ ( eats @ SV16 @ SV27 ) )
= $true )
| ( ( animal @ SV16 )
= $false )
| ( ( animal @ SV27 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(202,plain,
! [SV28: $i,SV7: $i,SV29: $i] :
( ( ( ~ ( animal @ SV29 )
| ~ ( much_smaller @ SV29 @ SV7 )
| ! [SY53: $i] :
( ~ ( eats @ SV29 @ SY53 )
| ~ ( plant @ SY53 ) ) )
= $true )
| ( ( eats @ SV7 @ SV29 )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( plant @ SV28 )
= $false )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(203,plain,
! [SV16: $i,SV30: $i,SV27: $i] :
( ( ( ~ ( eats @ SV27 @ SV30 ) )
= $true )
| ( ( ~ ( grain @ SV30 ) )
= $true )
| ( ( ~ ( eats @ SV16 @ SV27 ) )
= $true )
| ( ( animal @ SV16 )
= $false )
| ( ( animal @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(204,plain,
! [SV28: $i,SV7: $i,SV29: $i] :
( ( ( ~ ( animal @ SV29 )
| ~ ( much_smaller @ SV29 @ SV7 ) )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( eats @ SV29 @ SY53 )
| ~ ( plant @ SY53 ) ) )
= $true )
| ( ( eats @ SV7 @ SV29 )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( plant @ SV28 )
= $false )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(205,plain,
! [SV16: $i,SV30: $i,SV27: $i] :
( ( ( eats @ SV27 @ SV30 )
= $false )
| ( ( ~ ( grain @ SV30 ) )
= $true )
| ( ( ~ ( eats @ SV16 @ SV27 ) )
= $true )
| ( ( animal @ SV16 )
= $false )
| ( ( animal @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(206,plain,
! [SV28: $i,SV7: $i,SV29: $i] :
( ( ( ~ ( animal @ SV29 ) )
= $true )
| ( ( ~ ( much_smaller @ SV29 @ SV7 ) )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( eats @ SV29 @ SY53 )
| ~ ( plant @ SY53 ) ) )
= $true )
| ( ( eats @ SV7 @ SV29 )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( plant @ SV28 )
= $false )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(207,plain,
! [SV16: $i,SV27: $i,SV30: $i] :
( ( ( grain @ SV30 )
= $false )
| ( ( eats @ SV27 @ SV30 )
= $false )
| ( ( ~ ( eats @ SV16 @ SV27 ) )
= $true )
| ( ( animal @ SV16 )
= $false )
| ( ( animal @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(208,plain,
! [SV28: $i,SV7: $i,SV29: $i] :
( ( ( animal @ SV29 )
= $false )
| ( ( ~ ( much_smaller @ SV29 @ SV7 ) )
= $true )
| ( ( ! [SY53: $i] :
( ~ ( eats @ SV29 @ SY53 )
| ~ ( plant @ SY53 ) ) )
= $true )
| ( ( eats @ SV7 @ SV29 )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( plant @ SV28 )
= $false )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(209,plain,
! [SV30: $i,SV27: $i,SV16: $i] :
( ( ( eats @ SV16 @ SV27 )
= $false )
| ( ( eats @ SV27 @ SV30 )
= $false )
| ( ( grain @ SV30 )
= $false )
| ( ( animal @ SV16 )
= $false )
| ( ( animal @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(210,plain,
! [SV28: $i,SV7: $i,SV29: $i] :
( ( ( much_smaller @ SV29 @ SV7 )
= $false )
| ( ( animal @ SV29 )
= $false )
| ( ( ! [SY53: $i] :
( ~ ( eats @ SV29 @ SY53 )
| ~ ( plant @ SY53 ) ) )
= $true )
| ( ( eats @ SV7 @ SV29 )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( plant @ SV28 )
= $false )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(211,plain,
! [SV28: $i,SV7: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( eats @ SV29 @ SV31 )
| ~ ( plant @ SV31 ) )
= $true )
| ( ( animal @ SV29 )
= $false )
| ( ( much_smaller @ SV29 @ SV7 )
= $false )
| ( ( eats @ SV7 @ SV29 )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( plant @ SV28 )
= $false )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(212,plain,
! [SV28: $i,SV7: $i,SV31: $i,SV29: $i] :
( ( ( ~ ( eats @ SV29 @ SV31 ) )
= $true )
| ( ( ~ ( plant @ SV31 ) )
= $true )
| ( ( animal @ SV29 )
= $false )
| ( ( much_smaller @ SV29 @ SV7 )
= $false )
| ( ( eats @ SV7 @ SV29 )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( plant @ SV28 )
= $false )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(213,plain,
! [SV28: $i,SV7: $i,SV31: $i,SV29: $i] :
( ( ( eats @ SV29 @ SV31 )
= $false )
| ( ( ~ ( plant @ SV31 ) )
= $true )
| ( ( animal @ SV29 )
= $false )
| ( ( much_smaller @ SV29 @ SV7 )
= $false )
| ( ( eats @ SV7 @ SV29 )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( plant @ SV28 )
= $false )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(214,plain,
! [SV28: $i,SV7: $i,SV29: $i,SV31: $i] :
( ( ( plant @ SV31 )
= $false )
| ( ( eats @ SV29 @ SV31 )
= $false )
| ( ( animal @ SV29 )
= $false )
| ( ( much_smaller @ SV29 @ SV7 )
= $false )
| ( ( eats @ SV7 @ SV29 )
= $true )
| ( ( eats @ SV7 @ SV28 )
= $true )
| ( ( plant @ SV28 )
= $false )
| ( ( animal @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(215,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[75,214,209,198,197,196,194,193,192,191,188,185,184,183,182,142,141,140,139,138,137,85,79,78,77,76]) ).
thf(216,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ031+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat May 28 21:53:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 23
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:23,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:25,loop_count:0,foatp_calls:0,translation:fof_full).........
% 0.19/0.47
% 0.19/0.47 ********************************
% 0.19/0.47 * All subproblems solved! *
% 0.19/0.47 ********************************
% 0.19/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:23,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:215,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.48
% 0.19/0.48 %**** Beginning of derivation protocol ****
% 0.19/0.48 % SZS output start CNFRefutation
% See solution above
% 0.19/0.48
% 0.19/0.48 %**** End of derivation protocol ****
% 0.19/0.48 %**** no. of clauses in derivation: 216 ****
% 0.19/0.48 %**** clause counter: 215 ****
% 0.19/0.48
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:23,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:215,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------