TSTP Solution File: PHI014+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n017.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 16:47:21 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 126 ( 49 unt; 12 typ; 0 def)
% Number of atoms : 1063 ( 261 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 1815 ( 371 ~; 379 |; 30 &;1017 @)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 198 ( 0 ^ 192 !; 6 ?; 198 :)
% 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_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i ).
thf(1,axiom,
is_the @ god @ none_greater,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',premise_2) ).
thf(3,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/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
thf(4,axiom,
! [X: $i,F: $i] :
( ( is_the @ X @ F )
=> ( ( property @ F )
& ( object @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
thf(5,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/sandbox/benchmark/theBenchmark.p',description_theorem_2) ).
thf(6,conjecture,
exemplifies_property @ existence @ god,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
thf(7,negated_conjecture,
( ( exemplifies_property @ existence @ god )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( exemplifies_property @ existence @ god )
= $false ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( is_the @ god @ none_greater )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,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(11,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)],[3]) ).
thf(12,plain,
( ( ! [X: $i,F: $i] :
( ( is_the @ X @ F )
=> ( ( property @ F )
& ( object @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(13,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)],[5]) ).
thf(14,plain,
( ( ~ ( exemplifies_property @ existence @ god ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [X: $i] :
( ~ ( object @ X )
| ~ ( is_the @ X @ none_greater )
| ( exemplifies_property @ existence @ X )
| ( ( exemplifies_relation @ greater_than @ ( sK1_Y @ X ) @ X )
& ( object @ ( sK1_Y @ X ) )
& ( exemplifies_property @ conceivable @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(16,plain,
( ( ! [X: $i] :
( ~ ( object @ X )
| ~ ( exemplifies_property @ conceivable @ X )
| ( ( exemplifies_relation @ greater_than @ ( sK2_Y @ X ) @ X )
& ( object @ ( sK2_Y @ X ) )
& ( exemplifies_property @ conceivable @ ( sK2_Y @ X ) ) )
| ( exemplifies_property @ none_greater @ X ) )
& ! [X: $i] :
( ~ ( object @ X )
| ~ ( exemplifies_property @ none_greater @ X )
| ( exemplifies_property @ conceivable @ X ) )
& ! [X: $i] :
( ~ ( object @ X )
| ~ ( exemplifies_property @ none_greater @ X )
| ! [Y: $i] :
( ~ ( exemplifies_relation @ greater_than @ Y @ X )
| ~ ( object @ Y )
| ~ ( exemplifies_property @ conceivable @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(17,plain,
( ( ! [X: $i] :
( ! [F: $i] :
~ ( is_the @ X @ F )
| ( object @ X ) )
& ! [X: $i,F: $i] :
( ~ ( is_the @ X @ F )
| ( property @ F ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(18,plain,
( ( ! [F: $i] :
( ~ ( property @ F )
| ! [Y: $i] :
( ~ ( is_the @ Y @ F )
| ~ ( object @ Y ) )
| ! [Z: $i] :
( ~ ( object @ Z )
| ~ ( is_the @ Z @ F )
| ( exemplifies_property @ F @ Z ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(19,plain,
( ( ! [F: $i] :
( ~ ( property @ F )
| ! [Y: $i] :
( ~ ( is_the @ Y @ F )
| ~ ( object @ Y ) )
| ! [Z: $i] :
( ~ ( object @ Z )
| ~ ( is_the @ Z @ F )
| ( exemplifies_property @ F @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(20,plain,
( ( ! [X: $i] :
( ! [F: $i] :
~ ( is_the @ X @ F )
| ( object @ X ) )
& ! [X: $i,F: $i] :
( ~ ( is_the @ X @ F )
| ( property @ F ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [X: $i] :
( ~ ( object @ X )
| ~ ( exemplifies_property @ conceivable @ X )
| ( ( exemplifies_relation @ greater_than @ ( sK2_Y @ X ) @ X )
& ( object @ ( sK2_Y @ X ) )
& ( exemplifies_property @ conceivable @ ( sK2_Y @ X ) ) )
| ( exemplifies_property @ none_greater @ X ) )
& ! [X: $i] :
( ~ ( object @ X )
| ~ ( exemplifies_property @ none_greater @ X )
| ( exemplifies_property @ conceivable @ X ) )
& ! [X: $i] :
( ~ ( object @ X )
| ~ ( exemplifies_property @ none_greater @ X )
| ! [Y: $i] :
( ~ ( exemplifies_relation @ greater_than @ Y @ X )
| ~ ( object @ Y )
| ~ ( exemplifies_property @ conceivable @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(22,plain,
( ( ! [X: $i] :
( ~ ( object @ X )
| ~ ( is_the @ X @ none_greater )
| ( exemplifies_property @ existence @ X )
| ( ( exemplifies_relation @ greater_than @ ( sK1_Y @ X ) @ X )
& ( object @ ( sK1_Y @ X ) )
& ( exemplifies_property @ conceivable @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(23,plain,
( ( is_the @ god @ none_greater )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(24,plain,
( ( ~ ( exemplifies_property @ existence @ god ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(25,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( is_the @ SX0 @ SX1 )
| ( object @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_the @ SX0 @ SX1 )
| ( property @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(26,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ conceivable @ SX0 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SX0 ) @ SX0 )
| ~ ( object @ ( sK2_Y @ SX0 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SX0 ) ) )
| ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ( exemplifies_property @ conceivable @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ! [SX1: $i] :
( ~ ( exemplifies_relation @ greater_than @ SX1 @ SX0 )
| ~ ( object @ SX1 )
| ~ ( exemplifies_property @ conceivable @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(27,plain,
( ( ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( is_the @ SX0 @ none_greater )
| ( exemplifies_property @ existence @ SX0 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SX0 ) @ SX0 )
| ~ ( object @ ( sK1_Y @ SX0 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK1_Y @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(28,plain,
! [SV1: $i] :
( ( ~ ( property @ SV1 )
| ! [SY9: $i] :
( ~ ( is_the @ SY9 @ SV1 )
| ~ ( object @ SY9 ) )
| ! [SY10: $i] :
( ~ ( object @ SY10 )
| ~ ( is_the @ SY10 @ SV1 )
| ( exemplifies_property @ SV1 @ SY10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(29,plain,
( ( exemplifies_property @ existence @ god )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( is_the @ SX0 @ SX1 )
| ( object @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_the @ SX0 @ SX1 )
| ( property @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ conceivable @ SX0 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SX0 ) @ SX0 )
| ~ ( object @ ( sK2_Y @ SX0 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SX0 ) ) )
| ( exemplifies_property @ none_greater @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ( exemplifies_property @ conceivable @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ! [SX1: $i] :
( ~ ( exemplifies_relation @ greater_than @ SX1 @ SX0 )
| ~ ( object @ SX1 )
| ~ ( exemplifies_property @ conceivable @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV2: $i] :
( ( ~ ( object @ SV2 )
| ~ ( is_the @ SV2 @ none_greater )
| ( exemplifies_property @ existence @ SV2 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
| ~ ( object @ ( sK1_Y @ SV2 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK1_Y @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV1: $i] :
( ( ( ~ ( property @ SV1 ) )
= $true )
| ( ( ! [SY9: $i] :
( ~ ( is_the @ SY9 @ SV1 )
| ~ ( object @ SY9 ) )
| ! [SY10: $i] :
( ~ ( object @ SY10 )
| ~ ( is_the @ SY10 @ SV1 )
| ( exemplifies_property @ SV1 @ SY10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( is_the @ SX0 @ SX1 )
| ( object @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( is_the @ SX0 @ SX1 )
| ( property @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(36,plain,
( ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ conceivable @ SX0 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SX0 ) @ SX0 )
| ~ ( object @ ( sK2_Y @ SX0 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SX0 ) ) )
| ( exemplifies_property @ none_greater @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(37,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ( exemplifies_property @ conceivable @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ! [SX1: $i] :
( ~ ( exemplifies_relation @ greater_than @ SX1 @ SX0 )
| ~ ( object @ SX1 )
| ~ ( exemplifies_property @ conceivable @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(38,plain,
! [SV2: $i] :
( ( ( ~ ( object @ SV2 ) )
= $true )
| ( ( ~ ( is_the @ SV2 @ none_greater )
| ( exemplifies_property @ existence @ SV2 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
| ~ ( object @ ( sK1_Y @ SV2 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK1_Y @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV1: $i] :
( ( ( property @ SV1 )
= $false )
| ( ( ! [SY9: $i] :
( ~ ( is_the @ SY9 @ SV1 )
| ~ ( object @ SY9 ) )
| ! [SY10: $i] :
( ~ ( object @ SY10 )
| ~ ( is_the @ SY10 @ SV1 )
| ( exemplifies_property @ SV1 @ SY10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(40,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( is_the @ SX0 @ SX1 )
| ( object @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(41,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( is_the @ SX0 @ SX1 )
| ( property @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ conceivable @ SX0 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SX0 ) @ SX0 )
| ~ ( object @ ( sK2_Y @ SX0 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SX0 ) ) )
| ( exemplifies_property @ none_greater @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(43,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ( exemplifies_property @ conceivable @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ! [SX1: $i] :
( ~ ( exemplifies_relation @ greater_than @ SX1 @ SX0 )
| ~ ( object @ SX1 )
| ~ ( exemplifies_property @ conceivable @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(44,plain,
! [SV2: $i] :
( ( ( object @ SV2 )
= $false )
| ( ( ~ ( is_the @ SV2 @ none_greater )
| ( exemplifies_property @ existence @ SV2 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
| ~ ( object @ ( sK1_Y @ SV2 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK1_Y @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV1: $i] :
( ( ( ! [SY9: $i] :
( ~ ( is_the @ SY9 @ SV1 )
| ~ ( object @ SY9 ) ) )
= $true )
| ( ( ! [SY10: $i] :
( ~ ( object @ SY10 )
| ~ ( is_the @ SY10 @ SV1 )
| ( exemplifies_property @ SV1 @ SY10 ) ) )
= $true )
| ( ( property @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV3: $i] :
( ( ! [SY11: $i] :
~ ( is_the @ SV3 @ SY11 )
| ( object @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(47,plain,
! [SV4: $i] :
( ( ! [SY12: $i] :
( ~ ( is_the @ SV4 @ SY12 )
| ( property @ SY12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(48,plain,
! [SV5: $i] :
( ( ~ ( object @ SV5 )
| ~ ( exemplifies_property @ conceivable @ SV5 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( object @ ( sK2_Y @ SV5 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SV5 ) ) )
| ( exemplifies_property @ none_greater @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(49,plain,
( ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ( exemplifies_property @ conceivable @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ! [SX1: $i] :
( ~ ( exemplifies_relation @ greater_than @ SX1 @ SX0 )
| ~ ( object @ SX1 )
| ~ ( exemplifies_property @ conceivable @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(50,plain,
! [SV2: $i] :
( ( ( ~ ( is_the @ SV2 @ none_greater )
| ( exemplifies_property @ existence @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
| ~ ( object @ ( sK1_Y @ SV2 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK1_Y @ SV2 ) ) ) )
= $true )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV1: $i,SV6: $i] :
( ( ( ~ ( is_the @ SV6 @ SV1 )
| ~ ( object @ SV6 ) )
= $true )
| ( ( ! [SY10: $i] :
( ~ ( object @ SY10 )
| ~ ( is_the @ SY10 @ SV1 )
| ( exemplifies_property @ SV1 @ SY10 ) ) )
= $true )
| ( ( property @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV3: $i] :
( ( ( ! [SY11: $i] :
~ ( is_the @ SV3 @ SY11 ) )
= $true )
| ( ( object @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV7: $i,SV4: $i] :
( ( ~ ( is_the @ SV4 @ SV7 )
| ( property @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV5: $i] :
( ( ( ~ ( object @ SV5 ) )
= $true )
| ( ( ~ ( exemplifies_property @ conceivable @ SV5 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( object @ ( sK2_Y @ SV5 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SV5 ) ) )
| ( exemplifies_property @ none_greater @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(55,plain,
( ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ( exemplifies_property @ conceivable @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(56,plain,
( ( ~ ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ! [SX1: $i] :
( ~ ( exemplifies_relation @ greater_than @ SX1 @ SX0 )
| ~ ( object @ SX1 )
| ~ ( exemplifies_property @ conceivable @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[49]) ).
thf(57,plain,
! [SV2: $i] :
( ( ( ~ ( is_the @ SV2 @ none_greater ) )
= $true )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
| ~ ( object @ ( sK1_Y @ SV2 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK1_Y @ SV2 ) ) ) )
= $true )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV1: $i,SV6: $i] :
( ( ( ~ ( is_the @ SV6 @ SV1 ) )
= $true )
| ( ( ~ ( object @ SV6 ) )
= $true )
| ( ( ! [SY10: $i] :
( ~ ( object @ SY10 )
| ~ ( is_the @ SY10 @ SV1 )
| ( exemplifies_property @ SV1 @ SY10 ) ) )
= $true )
| ( ( property @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(59,plain,
! [SV8: $i,SV3: $i] :
( ( ( ~ ( is_the @ SV3 @ SV8 ) )
= $true )
| ( ( object @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( is_the @ SV4 @ SV7 ) )
= $true )
| ( ( property @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV5: $i] :
( ( ( object @ SV5 )
= $false )
| ( ( ~ ( exemplifies_property @ conceivable @ SV5 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( object @ ( sK2_Y @ SV5 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SV5 ) ) )
| ( exemplifies_property @ none_greater @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(62,plain,
( ( ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ( exemplifies_property @ conceivable @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(63,plain,
( ( ! [SX0: $i] :
( ~ ( object @ SX0 )
| ~ ( exemplifies_property @ none_greater @ SX0 )
| ! [SX1: $i] :
( ~ ( exemplifies_relation @ greater_than @ SX1 @ SX0 )
| ~ ( object @ SX1 )
| ~ ( exemplifies_property @ conceivable @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(64,plain,
! [SV2: $i] :
( ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
| ~ ( object @ ( sK1_Y @ SV2 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK1_Y @ SV2 ) ) ) )
= $true )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV1: $i,SV6: $i] :
( ( ( is_the @ SV6 @ SV1 )
= $false )
| ( ( ~ ( object @ SV6 ) )
= $true )
| ( ( ! [SY10: $i] :
( ~ ( object @ SY10 )
| ~ ( is_the @ SY10 @ SV1 )
| ( exemplifies_property @ SV1 @ SY10 ) ) )
= $true )
| ( ( property @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV8: $i,SV3: $i] :
( ( ( is_the @ SV3 @ SV8 )
= $false )
| ( ( object @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV7: $i,SV4: $i] :
( ( ( is_the @ SV4 @ SV7 )
= $false )
| ( ( property @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV5: $i] :
( ( ( ~ ( exemplifies_property @ conceivable @ SV5 )
| ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( object @ ( sK2_Y @ SV5 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SV5 ) ) ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV9: $i] :
( ( ~ ( object @ SV9 )
| ~ ( exemplifies_property @ none_greater @ SV9 )
| ( exemplifies_property @ conceivable @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV10: $i] :
( ( ~ ( object @ SV10 )
| ~ ( exemplifies_property @ none_greater @ SV10 )
| ! [SY13: $i] :
( ~ ( exemplifies_relation @ greater_than @ SY13 @ SV10 )
| ~ ( object @ SY13 )
| ~ ( exemplifies_property @ conceivable @ SY13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
| ~ ( object @ ( sK1_Y @ SV2 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK1_Y @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV1: $i,SV6: $i] :
( ( ( object @ SV6 )
= $false )
| ( ( is_the @ SV6 @ SV1 )
= $false )
| ( ( ! [SY10: $i] :
( ~ ( object @ SY10 )
| ~ ( is_the @ SY10 @ SV1 )
| ( exemplifies_property @ SV1 @ SY10 ) ) )
= $true )
| ( ( property @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(73,plain,
! [SV5: $i] :
( ( ( ~ ( exemplifies_property @ conceivable @ SV5 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( object @ ( sK2_Y @ SV5 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SV5 ) ) ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(74,plain,
! [SV9: $i] :
( ( ( ~ ( object @ SV9 ) )
= $true )
| ( ( ~ ( exemplifies_property @ none_greater @ SV9 )
| ( exemplifies_property @ conceivable @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(75,plain,
! [SV10: $i] :
( ( ( ~ ( object @ SV10 ) )
= $true )
| ( ( ~ ( exemplifies_property @ none_greater @ SV10 )
| ! [SY13: $i] :
( ~ ( exemplifies_relation @ greater_than @ SY13 @ SV10 )
| ~ ( object @ SY13 )
| ~ ( exemplifies_property @ conceivable @ SY13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(76,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
| ~ ( object @ ( sK1_Y @ SV2 ) ) ) )
= $false )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(77,plain,
! [SV2: $i] :
( ( ( ~ ( exemplifies_property @ conceivable @ ( sK1_Y @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(78,plain,
! [SV6: $i,SV1: $i,SV11: $i] :
( ( ( ~ ( object @ SV11 )
| ~ ( is_the @ SV11 @ SV1 )
| ( exemplifies_property @ SV1 @ SV11 ) )
= $true )
| ( ( is_the @ SV6 @ SV1 )
= $false )
| ( ( object @ SV6 )
= $false )
| ( ( property @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV5: $i] :
( ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( object @ ( sK2_Y @ SV5 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SV5 ) ) ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(80,plain,
! [SV9: $i] :
( ( ( object @ SV9 )
= $false )
| ( ( ~ ( exemplifies_property @ none_greater @ SV9 )
| ( exemplifies_property @ conceivable @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(81,plain,
! [SV10: $i] :
( ( ( object @ SV10 )
= $false )
| ( ( ~ ( exemplifies_property @ none_greater @ SV10 )
| ! [SY13: $i] :
( ~ ( exemplifies_relation @ greater_than @ SY13 @ SV10 )
| ~ ( object @ SY13 )
| ~ ( exemplifies_property @ conceivable @ SY13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(82,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
| ~ ( object @ ( sK1_Y @ SV2 ) ) ) )
= $true )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(83,plain,
! [SV2: $i] :
( ( ( exemplifies_property @ conceivable @ ( sK1_Y @ SV2 ) )
= $true )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(84,plain,
! [SV6: $i,SV1: $i,SV11: $i] :
( ( ( ~ ( object @ SV11 ) )
= $true )
| ( ( ~ ( is_the @ SV11 @ SV1 )
| ( exemplifies_property @ SV1 @ SV11 ) )
= $true )
| ( ( is_the @ SV6 @ SV1 )
= $false )
| ( ( object @ SV6 )
= $false )
| ( ( property @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( object @ ( sK2_Y @ SV5 ) ) )
| ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SV5 ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(86,plain,
! [SV9: $i] :
( ( ( ~ ( exemplifies_property @ none_greater @ SV9 ) )
= $true )
| ( ( exemplifies_property @ conceivable @ SV9 )
= $true )
| ( ( object @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV10: $i] :
( ( ( ~ ( exemplifies_property @ none_greater @ SV10 ) )
= $true )
| ( ( ! [SY13: $i] :
( ~ ( exemplifies_relation @ greater_than @ SY13 @ SV10 )
| ~ ( object @ SY13 )
| ~ ( exemplifies_property @ conceivable @ SY13 ) ) )
= $true )
| ( ( object @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(88,plain,
! [SV2: $i] :
( ( ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
| ~ ( object @ ( sK1_Y @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV6: $i,SV1: $i,SV11: $i] :
( ( ( object @ SV11 )
= $false )
| ( ( ~ ( is_the @ SV11 @ SV1 )
| ( exemplifies_property @ SV1 @ SV11 ) )
= $true )
| ( ( is_the @ SV6 @ SV1 )
= $false )
| ( ( object @ SV6 )
= $false )
| ( ( property @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(90,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( object @ ( sK2_Y @ SV5 ) ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(91,plain,
! [SV5: $i] :
( ( ( ~ ( exemplifies_property @ conceivable @ ( sK2_Y @ SV5 ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(92,plain,
! [SV9: $i] :
( ( ( exemplifies_property @ none_greater @ SV9 )
= $false )
| ( ( exemplifies_property @ conceivable @ SV9 )
= $true )
| ( ( object @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(93,plain,
! [SV10: $i] :
( ( ( exemplifies_property @ none_greater @ SV10 )
= $false )
| ( ( ! [SY13: $i] :
( ~ ( exemplifies_relation @ greater_than @ SY13 @ SV10 )
| ~ ( object @ SY13 )
| ~ ( exemplifies_property @ conceivable @ SY13 ) ) )
= $true )
| ( ( object @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(94,plain,
! [SV2: $i] :
( ( ( ~ ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 ) )
= $false )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(95,plain,
! [SV2: $i] :
( ( ( ~ ( object @ ( sK1_Y @ SV2 ) ) )
= $false )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(96,plain,
! [SV6: $i,SV1: $i,SV11: $i] :
( ( ( ~ ( is_the @ SV11 @ SV1 ) )
= $true )
| ( ( exemplifies_property @ SV1 @ SV11 )
= $true )
| ( ( object @ SV11 )
= $false )
| ( ( is_the @ SV6 @ SV1 )
= $false )
| ( ( object @ SV6 )
= $false )
| ( ( property @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(97,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( object @ ( sK2_Y @ SV5 ) ) ) )
= $true )
| ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(98,plain,
! [SV5: $i] :
( ( ( exemplifies_property @ conceivable @ ( sK2_Y @ SV5 ) )
= $true )
| ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(99,plain,
! [SV10: $i,SV12: $i] :
( ( ( ~ ( exemplifies_relation @ greater_than @ SV12 @ SV10 )
| ~ ( object @ SV12 )
| ~ ( exemplifies_property @ conceivable @ SV12 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV10 )
= $false )
| ( ( object @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(100,plain,
! [SV2: $i] :
( ( ( exemplifies_relation @ greater_than @ ( sK1_Y @ SV2 ) @ SV2 )
= $true )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(101,plain,
! [SV2: $i] :
( ( ( object @ ( sK1_Y @ SV2 ) )
= $true )
| ( ( exemplifies_property @ existence @ SV2 )
= $true )
| ( ( is_the @ SV2 @ none_greater )
= $false )
| ( ( object @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(102,plain,
! [SV6: $i,SV1: $i,SV11: $i] :
( ( ( is_the @ SV11 @ SV1 )
= $false )
| ( ( exemplifies_property @ SV1 @ SV11 )
= $true )
| ( ( object @ SV11 )
= $false )
| ( ( is_the @ SV6 @ SV1 )
= $false )
| ( ( object @ SV6 )
= $false )
| ( ( property @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(103,plain,
! [SV5: $i] :
( ( ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
| ~ ( object @ ( sK2_Y @ SV5 ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(104,plain,
! [SV10: $i,SV12: $i] :
( ( ( ~ ( exemplifies_relation @ greater_than @ SV12 @ SV10 )
| ~ ( object @ SV12 ) )
= $true )
| ( ( ~ ( exemplifies_property @ conceivable @ SV12 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV10 )
= $false )
| ( ( object @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(105,plain,
! [SV5: $i] :
( ( ( ~ ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(106,plain,
! [SV5: $i] :
( ( ( ~ ( object @ ( sK2_Y @ SV5 ) ) )
= $false )
| ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(107,plain,
! [SV10: $i,SV12: $i] :
( ( ( ~ ( exemplifies_relation @ greater_than @ SV12 @ SV10 ) )
= $true )
| ( ( ~ ( object @ SV12 ) )
= $true )
| ( ( ~ ( exemplifies_property @ conceivable @ SV12 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV10 )
= $false )
| ( ( object @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(108,plain,
! [SV5: $i] :
( ( ( exemplifies_relation @ greater_than @ ( sK2_Y @ SV5 ) @ SV5 )
= $true )
| ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(109,plain,
! [SV5: $i] :
( ( ( object @ ( sK2_Y @ SV5 ) )
= $true )
| ( ( exemplifies_property @ conceivable @ SV5 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV5 )
= $true )
| ( ( object @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(110,plain,
! [SV10: $i,SV12: $i] :
( ( ( exemplifies_relation @ greater_than @ SV12 @ SV10 )
= $false )
| ( ( ~ ( object @ SV12 ) )
= $true )
| ( ( ~ ( exemplifies_property @ conceivable @ SV12 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV10 )
= $false )
| ( ( object @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(111,plain,
! [SV10: $i,SV12: $i] :
( ( ( object @ SV12 )
= $false )
| ( ( exemplifies_relation @ greater_than @ SV12 @ SV10 )
= $false )
| ( ( ~ ( exemplifies_property @ conceivable @ SV12 ) )
= $true )
| ( ( exemplifies_property @ none_greater @ SV10 )
= $false )
| ( ( object @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(112,plain,
! [SV10: $i,SV12: $i] :
( ( ( exemplifies_property @ conceivable @ SV12 )
= $false )
| ( ( exemplifies_relation @ greater_than @ SV12 @ SV10 )
= $false )
| ( ( object @ SV12 )
= $false )
| ( ( exemplifies_property @ none_greater @ SV10 )
= $false )
| ( ( object @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(113,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[23,112,109,108,102,101,100,98,92,83,67,66,29]) ).
thf(114,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 00:41:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 5
% 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:5,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:7,loop_count:0,foatp_calls:0,translation:fof_full)......
% 0.19/0.41
% 0.19/0.41 ********************************
% 0.19/0.41 * All subproblems solved! *
% 0.19/0.41 ********************************
% 0.19/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,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:113,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.42
% 0.19/0.42 %**** Beginning of derivation protocol ****
% 0.19/0.42 % SZS output start CNFRefutation
% See solution above
% 0.19/0.42
% 0.19/0.42 %**** End of derivation protocol ****
% 0.19/0.42 %**** no. of clauses in derivation: 114 ****
% 0.19/0.42 %**** clause counter: 113 ****
% 0.19/0.42
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,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:113,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------