%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PHI013+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 Oct 7 10:36:12 AM UTC 2026
% Result : Theorem 0.08s 0.16s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 9
% Syntax : Number of formulae : 217 ( 46 unt; 0 typ; 0 def)
% Number of atoms : 2444 ( 702 equ; 0 cnn)
% Maximal formula atoms : 8 ( 11 avg)
% Number of connectives : 4100 (1213 ~; 840 |; 45 &;1954 @)
% ( 3 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 450 ( 0 ^; 426 !; 24 ?; 450 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_conceivable,type,
conceivable: $i ).
thf(tp_exemplifies_property,type,
exemplifies_property: $i > $i > $o ).
thf(tp_exemplifies_relation,type,
exemplifies_relation: $i > $i > $i > $o ).
thf(tp_existence,type,
existence: $i ).
thf(tp_god,type,
god: $i ).
thf(tp_greater_than,type,
greater_than: $i ).
thf(tp_is_the,type,
is_the: $i > $i > $o ).
thf(tp_none_greater,type,
none_greater: $i ).
thf(tp_object,type,
object: $i > $o ).
thf(tp_property,type,
property: $i > $o ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i > $i ).
thf(tp_sK3_SY17,type,
sK3_SY17: $i > $i ).
thf(tp_sK4_SY22,type,
sK4_SY22: $i > $i ).
thf(tp_sK5_SY26,type,
sK5_SY26: $i > $i > $i ).
thf(tp_sK6_SY20,type,
sK6_SY20: $i > $i > $i ).
thf(tp_sK7_SY20,type,
sK7_SY20: $i > $i > $i ).
thf(tp_sK8_SY20,type,
sK8_SY20: $i > $i > $i ).
thf(1,axiom,
is_the @ god @ none_greater,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
thf(2,axiom,
! [X: $i] :
( ( object @ X )
=> ( ( ( is_the @ X @ none_greater )
& ~ ( exemplifies_property @ existence @ X ) )
=> ? [Y: $i] :
( ( object @ Y )
& ( exemplifies_relation @ greater_than @ Y @ X )
& ( exemplifies_property @ conceivable @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
thf(3,axiom,
( ? [X: $i] :
( ( object @ X )
& ( exemplifies_property @ none_greater @ X ) )
=> ? [X: $i] :
( ( object @ X )
& ( exemplifies_property @ none_greater @ X )
& ! [Y: $i] :
( ( object @ Y )
=> ( ( exemplifies_property @ none_greater @ Y )
=> ( Y = X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_2) ).
thf(4,axiom,
? [X: $i] :
( ( object @ X )
& ( exemplifies_property @ none_greater @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
thf(5,axiom,
! [X: $i] :
( ( object @ X )
=> ( ( exemplifies_property @ none_greater @ X )
<=> ( ( exemplifies_property @ conceivable @ X )
& ~ ? [Y: $i] :
( ( object @ Y )
& ( exemplifies_relation @ greater_than @ Y @ X )
& ( exemplifies_property @ conceivable @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
thf(6,axiom,
! [X: $i,F: $i] :
( ( is_the @ X @ F )
=> ( ( property @ F )
& ( object @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
thf(7,axiom,
! [F: $i] :
( ( property @ F )
=> ( ? [Y: $i] :
( ( object @ Y )
& ( is_the @ Y @ F ) )
=> ! [Z: $i] :
( ( object @ Z )
=> ( ( is_the @ Z @ F )
=> ( exemplifies_property @ F @ Z ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_2) ).
thf(8,axiom,
! [F: $i] :
( ( property @ F )
=> ( ? [Y: $i] :
( ( object @ Y )
& ( exemplifies_property @ F @ Y )
& ! [Z: $i] :
( ( object @ Z )
=> ( ( exemplifies_property @ F @ Z )
=> ( Z = Y ) ) ) )
=> ? [U: $i] :
( ( object @ U )
& ( is_the @ U @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_1) ).
thf(9,conjecture,
exemplifies_property @ existence @ god,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).
thf(10,negated_conjecture,
( ( exemplifies_property @ existence @ god )
= $false ),
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,plain,
( ( exemplifies_property @ existence @ god )
= $false ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( is_the @ god @ none_greater )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(13,plain,
( ( ! [X: $i] :
( ( object @ X )
=> ( ( ( is_the @ X @ none_greater )
& ~ ( exemplifies_property @ existence @ X ) )
=> ? [Y: $i] :
( ( object @ Y )
& ( exemplifies_relation @ greater_than @ Y @ X )
& ( exemplifies_property @ conceivable @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(14,plain,
( ( ? [X: $i] :
( ( object @ X )
& ( exemplifies_property @ none_greater @ X ) )
=> ? [X: $i] :
( ( object @ X )
& ( exemplifies_property @ none_greater @ X )
& ! [Y: $i] :
( ( object @ Y )
=> ( ( exemplifies_property @ none_greater @ Y )
=> ( Y = X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(15,plain,
( ( ? [X: $i] :
( ( object @ X )
& ( exemplifies_property @ none_greater @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(16,plain,
( ( ! [X: $i] :
( ( object @ X )
=> ( ( exemplifies_property @ none_greater @ X )
<=> ( ( exemplifies_property @ conceivable @ X )
& ~ ? [Y: $i] :
( ( object @ Y )
& ( exemplifies_relation @ greater_than @ Y @ X )
& ( exemplifies_property @ conceivable @ Y ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(17,plain,
( ( ! [X: $i,F: $i] :
( ( is_the @ X @ F )
=> ( ( property @ F )
& ( object @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(18,plain,
( ( ! [F: $i] :
( ( property @ F )
=> ( ? [Y: $i] :
( ( object @ Y )
& ( is_the @ Y @ F ) )
=> ! [Z: $i] :
( ( object @ Z )
=> ( ( is_the @ Z @ F )
=> ( exemplifies_property @ F @ Z ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(19,plain,
( ( ! [F: $i] :
( ( property @ F )
=> ( ? [Y: $i] :
( ( object @ Y )
& ( exemplifies_property @ F @ Y )
& ! [Z: $i] :
( ( object @ Z )
=> ( ( exemplifies_property @ F @ Z )
=> ( Z = Y ) ) ) )
=> ? [U: $i] :
( ( object @ U )
& ( is_the @ U @ F ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(20,plain,
( ( ~ ( exemplifies_property @ existence @ god ) )
= $true ),
inference(polarity_switch,[status(thm)],[11]) ).
thf(21,plain,
( ( ! [F: $i] :
( ( property @ F )
=> ( ? [Y: $i] :
( ( object @ Y )
& ( exemplifies_property @ F @ Y )
& ! [Z: $i] :
( ( object @ Z )
=> ( ( exemplifies_property @ F @ Z )
=> ( Z = Y ) ) ) )
=> ? [U: $i] :
( ( object @ U )
& ( is_the @ U @ F ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(22,plain,
( ( ! [F: $i] :
( ( property @ F )
=> ( ? [Y: $i] :
( ( object @ Y )
& ( is_the @ Y @ F ) )
=> ! [Z: $i] :
( ( object @ Z )
=> ( ( is_the @ Z @ F )
=> ( exemplifies_property @ F @ Z ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(23,plain,
( ( ! [X: $i,F: $i] :
( ( is_the @ X @ F )
=> ( ( property @ F )
& ( object @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(24,plain,
( ( ! [X: $i] :
( ( object @ X )
=> ( ( exemplifies_property @ none_greater @ X )
<=> ( ( exemplifies_property @ conceivable @ X )
& ~ ? [Y: $i] :
( ( object @ Y )
& ( exemplifies_relation @ greater_than @ Y @ X )
& ( exemplifies_property @ conceivable @ Y ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(25,plain,
( ( ? [X: $i] :
( ( object @ X )
& ( exemplifies_property @ none_greater @ X ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(26,plain,
( ( ? [X: $i] :
( ( object @ X )
& ( exemplifies_property @ none_greater @ X ) )
=> ? [X: $i] :
( ( object @ X )
& ( exemplifies_property @ none_greater @ X )
& ! [Y: $i] :
( ( object @ Y )
=> ( ( exemplifies_property @ none_greater @ Y )
=> ( Y = X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(27,plain,
( ( ! [X: $i] :
( ( object @ X )
=> ( ( ( is_the @ X @ none_greater )
& ~ ( exemplifies_property @ existence @ X ) )
=> ? [Y: $i] :
( ( object @ Y )
& ( exemplifies_relation @ greater_than @ Y @ X )
& ( exemplifies_property @ conceivable @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(28,plain,
( ( is_the @ god @ none_greater )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(29,plain,
( ( ~ ( exemplifies_property @ existence @ god ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(30,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(31,plain,
( ( ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ~ ( ~ ( is_the @ SX0 @ none_greater )
| ~ ~ ( exemplifies_property @ existence @ SX0 ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX1 )
| ~ ( exemplifies_relation @ greater_than @ SX1 @ SX0 ) )
| ~ ( exemplifies_property @ conceivable @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(32,plain,
( ( ! [SX0: $i] :
( ~ ( property @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ SX0 @ SX1 ) )
| ~ ! [SX2: $i] :
( ~ ( object @ SX2 )
| ~ ( exemplifies_property @ SX0 @ SX2 )
| ( SX2 = SX1 ) ) )
| ~ ! [SX1: $i] :
~ ~ ( ~ ( object @ SX1 )
| ~ ( is_the @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(33,plain,
( ( ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( ~ ( ~ ( exemplifies_property @ none_greater @ SX0 )
| ~ ( ~ ( exemplifies_property @ conceivable @ SX0 )
| ~ ~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX1 )
| ~ ( exemplifies_relation @ greater_than @ SX1 @ SX0 ) )
| ~ ( exemplifies_property @ conceivable @ SX1 ) ) ) )
| ~ ( ~ ~ ( ~ ( exemplifies_property @ conceivable @ SX0 )
| ~ ~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX1 )
| ~ ( exemplifies_relation @ greater_than @ SX1 @ SX0 ) )
| ~ ( exemplifies_property @ conceivable @ SX1 ) ) )
| ( exemplifies_property @ none_greater @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(34,plain,
( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(35,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( is_the @ SX0 @ SX1 )
| ~ ( ~ ( property @ SX1 )
| ~ ( object @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(36,plain,
( ( ! [SX0: $i] :
( ~ ( property @ SX0 )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( object @ SX1 )
| ~ ( is_the @ SX1 @ SX0 ) )
| ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( is_the @ SX1 @ SX0 )
| ( exemplifies_property @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(37,plain,
( ( exemplifies_property @ existence @ god )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(38,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(39,plain,
! [SV1: $i] :
( ( ~ ( object @ SV1 )
| ~ ~ ( ~ ( is_the @ SV1 @ none_greater )
| ~ ~ ( exemplifies_property @ existence @ SV1 ) )
| ~ ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(40,plain,
! [SV2: $i] :
( ( ~ ( property @ SV2 )
| ~ ~ ! [SY18: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY18 )
| ~ ( exemplifies_property @ SV2 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( object @ SY19 )
| ~ ( exemplifies_property @ SV2 @ SY19 )
| ( SY19 = SY18 ) ) )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(41,plain,
! [SV3: $i] :
( ( ~ ( object @ SV3 )
| ~ ( ~ ( ~ ( exemplifies_property @ none_greater @ SV3 )
| ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) ) )
| ~ ( ~ ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
| ( exemplifies_property @ none_greater @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(42,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(43,plain,
! [SV4: $i] :
( ( ! [SY23: $i] :
( ~ ( is_the @ SV4 @ SY23 )
| ~ ( ~ ( property @ SY23 )
| ~ ( object @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV5: $i] :
( ( ~ ( property @ SV5 )
| ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( object @ SY24 )
| ~ ( is_the @ SY24 @ SV5 ) )
| ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(45,plain,
( ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(46,plain,
! [SV1: $i] :
( ( ( ~ ( object @ SV1 ) )
= $true )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ none_greater )
| ~ ~ ( exemplifies_property @ existence @ SV1 ) )
| ~ ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV2: $i] :
( ( ( ~ ( property @ SV2 ) )
= $true )
| ( ( ~ ~ ! [SY18: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY18 )
| ~ ( exemplifies_property @ SV2 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( object @ SY19 )
| ~ ( exemplifies_property @ SV2 @ SY19 )
| ( SY19 = SY18 ) ) )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV3: $i] :
( ( ( ~ ( object @ SV3 ) )
= $true )
| ( ( ~ ( ~ ( ~ ( exemplifies_property @ none_greater @ SV3 )
| ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) ) )
| ~ ( ~ ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
| ( exemplifies_property @ none_greater @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[41]) ).
thf(49,plain,
( ( ~ ~ ( ~ ( object @ sK1_SX0 )
| ~ ( exemplifies_property @ none_greater @ sK1_SX0 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[42]) ).
thf(50,plain,
! [SV6: $i,SV4: $i] :
( ( ~ ( is_the @ SV4 @ SV6 )
| ~ ( ~ ( property @ SV6 )
| ~ ( object @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV5: $i] :
( ( ( ~ ( property @ SV5 ) )
= $true )
| ( ( ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( object @ SY24 )
| ~ ( is_the @ SY24 @ SV5 ) )
| ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(52,plain,
( ( ( ! [SX0: $i] :
~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(53,plain,
! [SV1: $i] :
( ( ( object @ SV1 )
= $false )
| ( ( ~ ~ ( ~ ( is_the @ SV1 @ none_greater )
| ~ ~ ( exemplifies_property @ existence @ SV1 ) )
| ~ ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV2: $i] :
( ( ( property @ SV2 )
= $false )
| ( ( ~ ~ ! [SY18: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY18 )
| ~ ( exemplifies_property @ SV2 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( object @ SY19 )
| ~ ( exemplifies_property @ SV2 @ SY19 )
| ( SY19 = SY18 ) ) )
| ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV3: $i] :
( ( ( object @ SV3 )
= $false )
| ( ( ~ ( ~ ( ~ ( exemplifies_property @ none_greater @ SV3 )
| ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) ) )
| ~ ( ~ ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
| ( exemplifies_property @ none_greater @ SV3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(56,plain,
( ( ~ ( ~ ( object @ sK1_SX0 )
| ~ ( exemplifies_property @ none_greater @ sK1_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(57,plain,
! [SV6: $i,SV4: $i] :
( ( ( ~ ( is_the @ SV4 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ( property @ SV6 )
| ~ ( object @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV5: $i] :
( ( ( property @ SV5 )
= $false )
| ( ( ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( object @ SY24 )
| ~ ( is_the @ SY24 @ SV5 ) )
| ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(59,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( object @ SV7 )
| ~ ( exemplifies_property @ none_greater @ SV7 ) ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( is_the @ SV1 @ none_greater )
| ~ ~ ( exemplifies_property @ existence @ SV1 ) ) )
= $true )
| ( ( ~ ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV2: $i] :
( ( ( ~ ~ ! [SY18: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY18 )
| ~ ( exemplifies_property @ SV2 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( object @ SY19 )
| ~ ( exemplifies_property @ SV2 @ SY19 )
| ( SY19 = SY18 ) ) ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( exemplifies_property @ none_greater @ SV3 )
| ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) ) )
| ~ ( ~ ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
| ( exemplifies_property @ none_greater @ SV3 ) ) )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
( ( ~ ( object @ sK1_SX0 )
| ~ ( exemplifies_property @ none_greater @ sK1_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV6: $i,SV4: $i] :
( ( ( is_the @ SV4 @ SV6 )
= $false )
| ( ( ~ ( ~ ( property @ SV6 )
| ~ ( object @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV5: $i] :
( ( ( ~ ~ ! [SY24: $i] :
~ ~ ( ~ ( object @ SY24 )
| ~ ( is_the @ SY24 @ SV5 ) ) )
= $true )
| ( ( ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( object @ SV7 )
| ~ ( exemplifies_property @ none_greater @ SV7 ) ) )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( is_the @ SV1 @ none_greater )
| ~ ~ ( exemplifies_property @ existence @ SV1 ) ) )
= $false )
| ( ( ~ ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV2: $i] :
( ( ( ~ ! [SY18: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY18 )
| ~ ( exemplifies_property @ SV2 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( object @ SY19 )
| ~ ( exemplifies_property @ SV2 @ SY19 )
| ( SY19 = SY18 ) ) ) )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( exemplifies_property @ none_greater @ SV3 )
| ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) ) ) )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(70,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
| ( exemplifies_property @ none_greater @ SV3 ) ) )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(71,plain,
( ( ~ ( object @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(72,plain,
( ( ~ ( exemplifies_property @ none_greater @ sK1_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(73,plain,
! [SV4: $i,SV6: $i] :
( ( ( ~ ( property @ SV6 )
| ~ ( object @ SV4 ) )
= $false )
| ( ( is_the @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(74,plain,
! [SV5: $i] :
( ( ( ~ ! [SY24: $i] :
~ ~ ( ~ ( object @ SY24 )
| ~ ( is_the @ SY24 @ SV5 ) ) )
= $false )
| ( ( ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(75,plain,
! [SV7: $i] :
( ( ( ~ ( object @ SV7 )
| ~ ( exemplifies_property @ none_greater @ SV7 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(76,plain,
! [SV1: $i] :
( ( ( ~ ( is_the @ SV1 @ none_greater )
| ~ ~ ( exemplifies_property @ existence @ SV1 ) )
= $true )
| ( ( ~ ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(77,plain,
! [SV2: $i] :
( ( ( ! [SY18: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY18 )
| ~ ( exemplifies_property @ SV2 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( object @ SY19 )
| ~ ( exemplifies_property @ SV2 @ SY19 )
| ( SY19 = SY18 ) ) ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(78,plain,
! [SV3: $i] :
( ( ( ~ ( exemplifies_property @ none_greater @ SV3 )
| ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) ) )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(79,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
| ( exemplifies_property @ none_greater @ SV3 ) )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(80,plain,
( ( object @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(81,plain,
( ( exemplifies_property @ none_greater @ sK1_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(82,plain,
! [SV4: $i,SV6: $i] :
( ( ( ~ ( property @ SV6 ) )
= $false )
| ( ( is_the @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(83,plain,
! [SV6: $i,SV4: $i] :
( ( ( ~ ( object @ SV4 ) )
= $false )
| ( ( is_the @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(84,plain,
! [SV5: $i] :
( ( ( ! [SY24: $i] :
~ ~ ( ~ ( object @ SY24 )
| ~ ( is_the @ SY24 @ SV5 ) ) )
= $true )
| ( ( ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(85,plain,
! [SV7: $i] :
( ( ( ~ ( object @ SV7 ) )
= $true )
| ( ( ~ ( exemplifies_property @ none_greater @ SV7 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(86,plain,
! [SV1: $i] :
( ( ( ~ ( is_the @ SV1 @ none_greater ) )
= $true )
| ( ( ~ ~ ( exemplifies_property @ existence @ SV1 ) )
= $true )
| ( ( ~ ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(87,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( object @ SV8 )
| ~ ( exemplifies_property @ SV2 @ SV8 ) )
| ~ ! [SY26: $i] :
( ~ ( object @ SY26 )
| ~ ( exemplifies_property @ SV2 @ SY26 )
| ( SY26 = SV8 ) ) ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV3: $i] :
( ( ( ~ ( exemplifies_property @ none_greater @ SV3 ) )
= $true )
| ( ( ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) ) )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(89,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV4: $i,SV6: $i] :
( ( ( property @ SV6 )
= $true )
| ( ( is_the @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(91,plain,
! [SV6: $i,SV4: $i] :
( ( ( object @ SV4 )
= $true )
| ( ( is_the @ SV4 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(92,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ~ ( ~ ( object @ SV9 )
| ~ ( is_the @ SV9 @ SV5 ) ) )
= $true )
| ( ( ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(93,plain,
! [SV7: $i] :
( ( ( object @ SV7 )
= $false )
| ( ( ~ ( exemplifies_property @ none_greater @ SV7 ) )
= $true )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(94,plain,
! [SV1: $i] :
( ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( ~ ~ ( exemplifies_property @ existence @ SV1 ) )
= $true )
| ( ( ~ ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(95,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ~ ( ~ ( object @ SV8 )
| ~ ( exemplifies_property @ SV2 @ SV8 ) )
| ~ ! [SY26: $i] :
( ~ ( object @ SY26 )
| ~ ( exemplifies_property @ SV2 @ SY26 )
| ( SY26 = SV8 ) ) ) )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(96,plain,
! [SV3: $i] :
( ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) ) )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(97,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) ) )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(98,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( ~ ( object @ SV9 )
| ~ ( is_the @ SV9 @ SV5 ) ) )
= $false )
| ( ( ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(99,plain,
! [SV7: $i] :
( ( ( exemplifies_property @ none_greater @ SV7 )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( ~ ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(100,plain,
! [SV1: $i] :
( ( ( ~ ( exemplifies_property @ existence @ SV1 ) )
= $false )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( ~ ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(101,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( object @ SV8 )
| ~ ( exemplifies_property @ SV2 @ SV8 ) )
| ~ ! [SY26: $i] :
( ~ ( object @ SY26 )
| ~ ( exemplifies_property @ SV2 @ SY26 )
| ( SY26 = SV8 ) ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(102,plain,
! [SV3: $i] :
( ( ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(103,plain,
! [SV3: $i] :
( ( ( ~ ( exemplifies_property @ conceivable @ SV3 )
| ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(104,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( object @ SV9 )
| ~ ( is_the @ SV9 @ SV5 ) )
= $true )
| ( ( ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(105,plain,
! [SV7: $i] :
( ( ( ! [SX0: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( object @ SX1 )
| ~ ( exemplifies_property @ none_greater @ SX1 )
| ( SX1 = SX0 ) ) ) )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(106,plain,
! [SV1: $i] :
( ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( ~ ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(107,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( object @ SV8 )
| ~ ( exemplifies_property @ SV2 @ SV8 ) ) )
= $true )
| ( ( ~ ! [SY26: $i] :
( ~ ( object @ SY26 )
| ~ ( exemplifies_property @ SV2 @ SY26 )
| ( SY26 = SV8 ) ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(108,plain,
! [SV3: $i] :
( ( ( ~ ( exemplifies_property @ conceivable @ SV3 ) )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(109,plain,
! [SV3: $i] :
( ( ( ~ ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(110,plain,
! [SV3: $i] :
( ( ( ~ ( exemplifies_property @ conceivable @ SV3 ) )
= $true )
| ( ( ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(111,plain,
! [SV5: $i,SV9: $i] :
( ( ( ~ ( object @ SV9 ) )
= $true )
| ( ( ~ ( is_the @ SV9 @ SV5 ) )
= $true )
| ( ( ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( object @ ( sK2_SX0 @ SV7 ) )
| ~ ( exemplifies_property @ none_greater @ ( sK2_SX0 @ SV7 ) ) )
| ~ ! [SY27: $i] :
( ~ ( object @ SY27 )
| ~ ( exemplifies_property @ none_greater @ SY27 )
| ( SY27
= ( sK2_SX0 @ SV7 ) ) ) ) )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[105]) ).
thf(113,plain,
! [SV1: $i] :
( ( ( ! [SY17: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY17 )
| ~ ( exemplifies_relation @ greater_than @ SY17 @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ SY17 ) ) )
= $false )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(114,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( object @ SV8 )
| ~ ( exemplifies_property @ SV2 @ SV8 ) ) )
= $false )
| ( ( ~ ! [SY26: $i] :
( ~ ( object @ SY26 )
| ~ ( exemplifies_property @ SV2 @ SY26 )
| ( SY26 = SV8 ) ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(115,plain,
! [SV3: $i] :
( ( ( exemplifies_property @ conceivable @ SV3 )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(116,plain,
! [SV3: $i] :
( ( ( ~ ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(117,plain,
! [SV3: $i] :
( ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( ~ ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(118,plain,
! [SV5: $i,SV9: $i] :
( ( ( object @ SV9 )
= $false )
| ( ( ~ ( is_the @ SV9 @ SV5 ) )
= $true )
| ( ( ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(119,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ~ ( ~ ( object @ ( sK2_SX0 @ SV7 ) )
| ~ ( exemplifies_property @ none_greater @ ( sK2_SX0 @ SV7 ) ) )
| ~ ! [SY27: $i] :
( ~ ( object @ SY27 )
| ~ ( exemplifies_property @ none_greater @ SY27 )
| ( SY27
= ( sK2_SX0 @ SV7 ) ) ) ) )
= $true )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(120,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( object @ ( sK3_SY17 @ SV1 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK3_SY17 @ SV1 ) @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ ( sK3_SY17 @ SV1 ) ) ) )
= $false )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[113]) ).
thf(121,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( object @ SV8 )
| ~ ( exemplifies_property @ SV2 @ SV8 ) )
= $true )
| ( ( ~ ! [SY26: $i] :
( ~ ( object @ SY26 )
| ~ ( exemplifies_property @ SV2 @ SY26 )
| ( SY26 = SV8 ) ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(122,plain,
! [SV3: $i] :
( ( ( ~ ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV3: $i] :
( ( ( ~ ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(124,plain,
! [SV5: $i,SV9: $i] :
( ( ( is_the @ SV9 @ SV5 )
= $false )
| ( ( object @ SV9 )
= $false )
| ( ( ! [SY25: $i] :
( ~ ( object @ SY25 )
| ~ ( is_the @ SY25 @ SV5 )
| ( exemplifies_property @ SV5 @ SY25 ) ) )
= $true )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(125,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( object @ ( sK2_SX0 @ SV7 ) )
| ~ ( exemplifies_property @ none_greater @ ( sK2_SX0 @ SV7 ) ) )
| ~ ! [SY27: $i] :
( ~ ( object @ SY27 )
| ~ ( exemplifies_property @ none_greater @ SY27 )
| ( SY27
= ( sK2_SX0 @ SV7 ) ) ) )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(126,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ~ ( ~ ( object @ ( sK3_SY17 @ SV1 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK3_SY17 @ SV1 ) @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ ( sK3_SY17 @ SV1 ) ) ) )
= $true )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(127,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( object @ SV8 ) )
= $true )
| ( ( ~ ( exemplifies_property @ SV2 @ SV8 ) )
= $true )
| ( ( ~ ! [SY26: $i] :
( ~ ( object @ SY26 )
| ~ ( exemplifies_property @ SV2 @ SY26 )
| ( SY26 = SV8 ) ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(128,plain,
! [SV3: $i] :
( ( ( ! [SY21: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY21 )
| ~ ( exemplifies_relation @ greater_than @ SY21 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY21 ) ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(129,plain,
! [SV3: $i] :
( ( ( ~ ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
= $true )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(130,plain,
! [SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( object @ SV10 )
| ~ ( is_the @ SV10 @ SV5 )
| ( exemplifies_property @ SV5 @ SV10 ) )
= $true )
| ( ( object @ SV9 )
= $false )
| ( ( is_the @ SV9 @ SV5 )
= $false )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(131,plain,
! [SV7: $i] :
( ( ( ~ ~ ( ~ ( object @ ( sK2_SX0 @ SV7 ) )
| ~ ( exemplifies_property @ none_greater @ ( sK2_SX0 @ SV7 ) ) ) )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(132,plain,
! [SV7: $i] :
( ( ( ~ ! [SY27: $i] :
( ~ ( object @ SY27 )
| ~ ( exemplifies_property @ none_greater @ SY27 )
| ( SY27
= ( sK2_SX0 @ SV7 ) ) ) )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(133,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( object @ ( sK3_SY17 @ SV1 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK3_SY17 @ SV1 ) @ SV1 ) )
| ~ ( exemplifies_property @ conceivable @ ( sK3_SY17 @ SV1 ) ) )
= $false )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(134,plain,
! [SV2: $i,SV8: $i] :
( ( ( object @ SV8 )
= $false )
| ( ( ~ ( exemplifies_property @ SV2 @ SV8 ) )
= $true )
| ( ( ~ ! [SY26: $i] :
( ~ ( object @ SY26 )
| ~ ( exemplifies_property @ SV2 @ SY26 )
| ( SY26 = SV8 ) ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(135,plain,
! [SV3: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( object @ SV11 )
| ~ ( exemplifies_relation @ greater_than @ SV11 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SV11 ) ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(136,plain,
! [SV3: $i] :
( ( ( ! [SY22: $i] :
~ ~ ( ~ ~ ( ~ ( object @ SY22 )
| ~ ( exemplifies_relation @ greater_than @ SY22 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SY22 ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(137,plain,
! [SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( object @ SV10 ) )
= $true )
| ( ( ~ ( is_the @ SV10 @ SV5 )
| ( exemplifies_property @ SV5 @ SV10 ) )
= $true )
| ( ( object @ SV9 )
= $false )
| ( ( is_the @ SV9 @ SV5 )
= $false )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(138,plain,
! [SV7: $i] :
( ( ( ~ ( ~ ( object @ ( sK2_SX0 @ SV7 ) )
| ~ ( exemplifies_property @ none_greater @ ( sK2_SX0 @ SV7 ) ) ) )
= $true )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(139,plain,
! [SV7: $i] :
( ( ( ! [SY27: $i] :
( ~ ( object @ SY27 )
| ~ ( exemplifies_property @ none_greater @ SY27 )
| ( SY27
= ( sK2_SX0 @ SV7 ) ) ) )
= $true )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(140,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( object @ ( sK3_SY17 @ SV1 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK3_SY17 @ SV1 ) @ SV1 ) ) )
= $false )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(141,plain,
! [SV1: $i] :
( ( ( ~ ( exemplifies_property @ conceivable @ ( sK3_SY17 @ SV1 ) ) )
= $false )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(142,plain,
! [SV8: $i,SV2: $i] :
( ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( ~ ! [SY26: $i] :
( ~ ( object @ SY26 )
| ~ ( exemplifies_property @ SV2 @ SY26 )
| ( SY26 = SV8 ) ) )
= $true )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(143,plain,
! [SV3: $i,SV11: $i] :
( ( ( ~ ( ~ ~ ( ~ ( object @ SV11 )
| ~ ( exemplifies_relation @ greater_than @ SV11 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SV11 ) ) )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(144,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( object @ ( sK4_SY22 @ SV3 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK4_SY22 @ SV3 ) @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ ( sK4_SY22 @ SV3 ) ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(145,plain,
! [SV9: $i,SV5: $i,SV10: $i] :
( ( ( object @ SV10 )
= $false )
| ( ( ~ ( is_the @ SV10 @ SV5 )
| ( exemplifies_property @ SV5 @ SV10 ) )
= $true )
| ( ( object @ SV9 )
= $false )
| ( ( is_the @ SV9 @ SV5 )
= $false )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(146,plain,
! [SV7: $i] :
( ( ( ~ ( object @ ( sK2_SX0 @ SV7 ) )
| ~ ( exemplifies_property @ none_greater @ ( sK2_SX0 @ SV7 ) ) )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(147,plain,
! [SV7: $i,SV12: $i] :
( ( ( ~ ( object @ SV12 )
| ~ ( exemplifies_property @ none_greater @ SV12 )
| ( SV12
= ( sK2_SX0 @ SV7 ) ) )
= $true )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(148,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( object @ ( sK3_SY17 @ SV1 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK3_SY17 @ SV1 ) @ SV1 ) ) )
= $true )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(149,plain,
! [SV1: $i] :
( ( ( exemplifies_property @ conceivable @ ( sK3_SY17 @ SV1 ) )
= $true )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(150,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY26: $i] :
( ~ ( object @ SY26 )
| ~ ( exemplifies_property @ SV2 @ SY26 )
| ( SY26 = SV8 ) ) )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(151,plain,
! [SV3: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( object @ SV11 )
| ~ ( exemplifies_relation @ greater_than @ SV11 @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ SV11 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(152,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( object @ ( sK4_SY22 @ SV3 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK4_SY22 @ SV3 ) @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ ( sK4_SY22 @ SV3 ) ) ) )
= $true )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(153,plain,
! [SV9: $i,SV5: $i,SV10: $i] :
( ( ( ~ ( is_the @ SV10 @ SV5 ) )
= $true )
| ( ( exemplifies_property @ SV5 @ SV10 )
= $true )
| ( ( object @ SV10 )
= $false )
| ( ( object @ SV9 )
= $false )
| ( ( is_the @ SV9 @ SV5 )
= $false )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(154,plain,
! [SV7: $i] :
( ( ( ~ ( object @ ( sK2_SX0 @ SV7 ) ) )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(155,plain,
! [SV7: $i] :
( ( ( ~ ( exemplifies_property @ none_greater @ ( sK2_SX0 @ SV7 ) ) )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[146]) ).
thf(156,plain,
! [SV7: $i,SV12: $i] :
( ( ( ~ ( object @ SV12 ) )
= $true )
| ( ( ~ ( exemplifies_property @ none_greater @ SV12 )
| ( SV12
= ( sK2_SX0 @ SV7 ) ) )
= $true )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(157,plain,
! [SV1: $i] :
( ( ( ~ ( object @ ( sK3_SY17 @ SV1 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK3_SY17 @ SV1 ) @ SV1 ) )
= $false )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(158,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( object @ ( sK5_SY26 @ SV8 @ SV2 ) )
| ~ ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
| ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 ) )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[150]) ).
thf(159,plain,
! [SV3: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( object @ SV11 )
| ~ ( exemplifies_relation @ greater_than @ SV11 @ SV3 ) ) )
= $true )
| ( ( ~ ( exemplifies_property @ conceivable @ SV11 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(160,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( object @ ( sK4_SY22 @ SV3 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK4_SY22 @ SV3 ) @ SV3 ) )
| ~ ( exemplifies_property @ conceivable @ ( sK4_SY22 @ SV3 ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(161,plain,
! [SV9: $i,SV5: $i,SV10: $i] :
( ( ( is_the @ SV10 @ SV5 )
= $false )
| ( ( exemplifies_property @ SV5 @ SV10 )
= $true )
| ( ( object @ SV10 )
= $false )
| ( ( object @ SV9 )
= $false )
| ( ( is_the @ SV9 @ SV5 )
= $false )
| ( ( property @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(162,plain,
! [SV7: $i] :
( ( ( object @ ( sK2_SX0 @ SV7 ) )
= $true )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(163,plain,
! [SV7: $i] :
( ( ( exemplifies_property @ none_greater @ ( sK2_SX0 @ SV7 ) )
= $true )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(164,plain,
! [SV7: $i,SV12: $i] :
( ( ( object @ SV12 )
= $false )
| ( ( ~ ( exemplifies_property @ none_greater @ SV12 )
| ( SV12
= ( sK2_SX0 @ SV7 ) ) )
= $true )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(165,plain,
! [SV1: $i] :
( ( ( ~ ( object @ ( sK3_SY17 @ SV1 ) ) )
= $false )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(166,plain,
! [SV1: $i] :
( ( ( ~ ( exemplifies_relation @ greater_than @ ( sK3_SY17 @ SV1 ) @ SV1 ) )
= $false )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(167,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( object @ ( sK5_SY26 @ SV8 @ SV2 ) ) )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(168,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
| ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 ) )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(169,plain,
! [SV3: $i,SV11: $i] :
( ( ( ~ ( ~ ( object @ SV11 )
| ~ ( exemplifies_relation @ greater_than @ SV11 @ SV3 ) ) )
= $false )
| ( ( ~ ( exemplifies_property @ conceivable @ SV11 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(170,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( object @ ( sK4_SY22 @ SV3 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK4_SY22 @ SV3 ) @ SV3 ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(171,plain,
! [SV3: $i] :
( ( ( ~ ( exemplifies_property @ conceivable @ ( sK4_SY22 @ SV3 ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[160]) ).
thf(172,plain,
! [SV7: $i,SV12: $i] :
( ( ( ~ ( exemplifies_property @ none_greater @ SV12 ) )
= $true )
| ( ( SV12
= ( sK2_SX0 @ SV7 ) )
= $true )
| ( ( object @ SV12 )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(173,plain,
! [SV1: $i] :
( ( ( object @ ( sK3_SY17 @ SV1 ) )
= $true )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(174,plain,
! [SV1: $i] :
( ( ( exemplifies_relation @ greater_than @ ( sK3_SY17 @ SV1 ) @ SV1 )
= $true )
| ( ( is_the @ SV1 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV1 )
= $true )
| ( ( object @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(175,plain,
! [SV2: $i,SV8: $i] :
( ( ( object @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(176,plain,
! [SV8: $i,SV2: $i] :
( ( ( ~ ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) ) )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(177,plain,
! [SV2: $i,SV8: $i] :
( ( ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(178,plain,
! [SV3: $i,SV11: $i] :
( ( ( ~ ( object @ SV11 )
| ~ ( exemplifies_relation @ greater_than @ SV11 @ SV3 ) )
= $true )
| ( ( ~ ( exemplifies_property @ conceivable @ SV11 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(179,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( object @ ( sK4_SY22 @ SV3 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK4_SY22 @ SV3 ) @ SV3 ) ) )
= $true )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(180,plain,
! [SV3: $i] :
( ( ( exemplifies_property @ conceivable @ ( sK4_SY22 @ SV3 ) )
= $true )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(181,plain,
! [SV7: $i,SV12: $i] :
( ( ( exemplifies_property @ none_greater @ SV12 )
= $false )
| ( ( SV12
= ( sK2_SX0 @ SV7 ) )
= $true )
| ( ( object @ SV12 )
= $false )
| ( ( object @ SV7 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(182,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( object @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(183,plain,
! [SV8: $i,SV2: $i] :
( ( ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( ~ ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(184,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 )
= $false )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(185,plain,
! [SV3: $i,SV11: $i] :
( ( ( ~ ( object @ SV11 ) )
= $true )
| ( ( ~ ( exemplifies_relation @ greater_than @ SV11 @ SV3 ) )
= $true )
| ( ( ~ ( exemplifies_property @ conceivable @ SV11 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(186,plain,
! [SV3: $i] :
( ( ( ~ ( object @ ( sK4_SY22 @ SV3 ) )
| ~ ( exemplifies_relation @ greater_than @ ( sK4_SY22 @ SV3 ) @ SV3 ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(187,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( object @ ( sK6_SY20 @ SV8 @ SV2 ) )
| ~ ( is_the @ ( sK6_SY20 @ SV8 @ SV2 ) @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( object @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[182]) ).
thf(188,plain,
! [SV8: $i,SV2: $i] :
( ( ( ! [SY20: $i] :
~ ~ ( ~ ( object @ SY20 )
| ~ ( is_the @ SY20 @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(189,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( object @ ( sK7_SY20 @ SV8 @ SV2 ) )
| ~ ( is_the @ ( sK7_SY20 @ SV8 @ SV2 ) @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 )
= $false )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[184]) ).
thf(190,plain,
! [SV3: $i,SV11: $i] :
( ( ( object @ SV11 )
= $false )
| ( ( ~ ( exemplifies_relation @ greater_than @ SV11 @ SV3 ) )
= $true )
| ( ( ~ ( exemplifies_property @ conceivable @ SV11 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(191,plain,
! [SV3: $i] :
( ( ( ~ ( object @ ( sK4_SY22 @ SV3 ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(192,plain,
! [SV3: $i] :
( ( ( ~ ( exemplifies_relation @ greater_than @ ( sK4_SY22 @ SV3 ) @ SV3 ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(193,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( object @ ( sK6_SY20 @ SV8 @ SV2 ) )
| ~ ( is_the @ ( sK6_SY20 @ SV8 @ SV2 ) @ SV2 ) ) )
= $true )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( object @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(194,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( object @ ( sK8_SY20 @ SV8 @ SV2 ) )
| ~ ( is_the @ ( sK8_SY20 @ SV8 @ SV2 ) @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[188]) ).
thf(195,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( object @ ( sK7_SY20 @ SV8 @ SV2 ) )
| ~ ( is_the @ ( sK7_SY20 @ SV8 @ SV2 ) @ SV2 ) ) )
= $true )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 )
= $false )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(196,plain,
! [SV3: $i,SV11: $i] :
( ( ( exemplifies_relation @ greater_than @ SV11 @ SV3 )
= $false )
| ( ( object @ SV11 )
= $false )
| ( ( ~ ( exemplifies_property @ conceivable @ SV11 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(197,plain,
! [SV3: $i] :
( ( ( object @ ( sK4_SY22 @ SV3 ) )
= $true )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(198,plain,
! [SV3: $i] :
( ( ( exemplifies_relation @ greater_than @ ( sK4_SY22 @ SV3 ) @ SV3 )
= $true )
| ( ( exemplifies_property @ conceivable @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $true )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(199,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( object @ ( sK6_SY20 @ SV8 @ SV2 ) )
| ~ ( is_the @ ( sK6_SY20 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( object @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(200,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( ~ ( object @ ( sK8_SY20 @ SV8 @ SV2 ) )
| ~ ( is_the @ ( sK8_SY20 @ SV8 @ SV2 ) @ SV2 ) ) )
= $true )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(201,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( object @ ( sK7_SY20 @ SV8 @ SV2 ) )
| ~ ( is_the @ ( sK7_SY20 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 )
= $false )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(202,plain,
! [SV3: $i,SV11: $i] :
( ( ( exemplifies_property @ conceivable @ SV11 )
= $false )
| ( ( object @ SV11 )
= $false )
| ( ( exemplifies_relation @ greater_than @ SV11 @ SV3 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV3 )
= $false )
| ( ( object @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(203,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( object @ ( sK6_SY20 @ SV8 @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( object @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(204,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( is_the @ ( sK6_SY20 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( object @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(205,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( object @ ( sK8_SY20 @ SV8 @ SV2 ) )
| ~ ( is_the @ ( sK8_SY20 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(206,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( object @ ( sK7_SY20 @ SV8 @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 )
= $false )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(207,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( is_the @ ( sK7_SY20 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 )
= $false )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(208,plain,
! [SV2: $i,SV8: $i] :
( ( ( object @ ( sK6_SY20 @ SV8 @ SV2 ) )
= $true )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( object @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(209,plain,
! [SV2: $i,SV8: $i] :
( ( ( is_the @ ( sK6_SY20 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( object @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(210,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( object @ ( sK8_SY20 @ SV8 @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(211,plain,
! [SV2: $i,SV8: $i] :
( ( ( ~ ( is_the @ ( sK8_SY20 @ SV8 @ SV2 ) @ SV2 ) )
= $false )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(212,plain,
! [SV2: $i,SV8: $i] :
( ( ( object @ ( sK7_SY20 @ SV8 @ SV2 ) )
= $true )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 )
= $false )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(213,plain,
! [SV2: $i,SV8: $i] :
( ( ( is_the @ ( sK7_SY20 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( ( sK5_SY26 @ SV8 @ SV2 )
= SV8 )
= $false )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(214,plain,
! [SV2: $i,SV8: $i] :
( ( ( object @ ( sK8_SY20 @ SV8 @ SV2 ) )
= $true )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(215,plain,
! [SV2: $i,SV8: $i] :
( ( ( is_the @ ( sK8_SY20 @ SV8 @ SV2 ) @ SV2 )
= $true )
| ( ( exemplifies_property @ SV2 @ SV8 )
= $false )
| ( ( object @ SV8 )
= $false )
| ( ( exemplifies_property @ SV2 @ ( sK5_SY26 @ SV8 @ SV2 ) )
= $true )
| ( ( property @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(216,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[28,215,214,213,212,209,208,202,198,197,181,180,174,173,163,162,161,149,115,91,90,81,80,37]) ).
thf(217,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PHI013+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Oct 6 13:50:01 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.16
% 0.08/0.16 No.of.Axioms: 8
% 0.08/0.16
% 0.08/0.16 Length.of.Defs: 0
% 0.08/0.16
% 0.08/0.16 Contains.Choice.Funs: false
% 0.08/0.16 .....
% 0.08/0.16
% 0.08/0.16 ********************************
% 0.08/0.16 * All subproblems solved! *
% 0.08/0.16 ********************************
% 0.08/0.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:216,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.16
% 0.08/0.16 %**** Beginning of derivation protocol ****
% 0.08/0.16 % SZS output start CNFRefutation
% See solution above
% 0.08/0.16
% 0.08/0.16 %**** End of derivation protocol ****
% 0.08/0.16 %**** no. of clauses in derivation: 217 ****
% 0.08/0.16 %**** clause counter: 216 ****
% 0.08/0.16
% 0.08/0.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:216,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------