%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS138+1 : TPTP v9.3.1. Released v3.1.0.
% 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 : n005.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 10:26:27 AM UTC 2026
% Result : Theorem 3.08s 0.74s
% Output : CNFRefutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of formulae : 1281 ( 818 unt; 0 typ; 0 def)
% Number of atoms : 7298 (3035 equ; 0 cnn)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 7004 (2005 ~;1956 |; 98 &;2906 @)
% ( 7 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 2230 ( 0 ^;2230 !; 0 ?;2230 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cA,type,
cA: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_ia,type,
ia: $i ).
thf(tp_ib,type,
ib: $i ).
thf(tp_ic,type,
ic: $i ).
thf(tp_requalityOnA,type,
requalityOnA: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_X,type,
sK2_X: $i ).
thf(tp_sK3_X,type,
sK3_X: $i ).
thf(tp_sK4_X,type,
sK4_X: $i ).
thf(tp_sK5_X,type,
sK5_X: $i ).
thf(tp_sK6_SY30,type,
sK6_SY30: $i ).
thf(tp_sK7_X,type,
sK7_X: $i ).
thf(tp_sK8_SY31,type,
sK8_SY31: $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
cowlThing @ ic,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(2,axiom,
requalityOnA @ ib @ ib,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(3,axiom,
cowlThing @ ib,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(4,axiom,
requalityOnA @ ia @ ia,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(5,axiom,
cowlThing @ ia,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( cA @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(7,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( requalityOnA @ Y @ X )
& ( requalityOnA @ Z @ X ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(8,axiom,
! [X: $i] :
( ( cA @ X )
<=> ( ( X = ib )
| ( X = ia ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(9,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(10,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( requalityOnA @ C @ A ) )
=> ( requalityOnA @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',requalityOnA_substitution_2) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( requalityOnA @ A @ C ) )
=> ( requalityOnA @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',requalityOnA_substitution_1) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cA @ A ) )
=> ( cA @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cA_substitution_1) ).
thf(18,conjecture,
( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( ( X = ia )
| ( X = ib )
| ( X = ic ) ) )
& ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( requalityOnA @ Y @ X ) )
& ( cowlThing @ ia )
& ( requalityOnA @ ia @ ia )
& ( cowlThing @ ib )
& ( cowlThing @ ic ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(19,negated_conjecture,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( ( X = ia )
| ( X = ib )
| ( X = ic ) ) )
& ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( requalityOnA @ Y @ X ) )
& ( cowlThing @ ia )
& ( requalityOnA @ ia @ ia )
& ( cowlThing @ ib )
& ( cowlThing @ ic ) )
= $false ),
inference(negate_conjecture,[status(cth)],[18]) ).
thf(20,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( ( X = ia )
| ( X = ib )
| ( X = ic ) ) )
& ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( requalityOnA @ Y @ X ) )
& ( cowlThing @ ia )
& ( requalityOnA @ ia @ ia )
& ( cowlThing @ ib )
& ( cowlThing @ ic ) )
= $false ),
inference(unfold_def,[status(thm)],[19]) ).
thf(21,plain,
( ( cowlThing @ ic )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(22,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(23,plain,
( ( cowlThing @ ib )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(24,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(25,plain,
( ( cowlThing @ ia )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( cA @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( requalityOnA @ Y @ X )
& ( requalityOnA @ Z @ X ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(28,plain,
( ( ! [X: $i] :
( ( cA @ X )
<=> ( ( X = ib )
| ( X = ia ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(29,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(30,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(31,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(32,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(33,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( requalityOnA @ C @ A ) )
=> ( requalityOnA @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(34,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( requalityOnA @ A @ C ) )
=> ( requalityOnA @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(35,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cA @ A ) )
=> ( cA @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(38,plain,
( ( ! [X: $i] : ( cowlThing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(39,plain,
( ( ! [X: $i] :
~ ( cowlNothing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(40,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(41,plain,
( ( ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( ( X = ia )
| ( X = ib )
| ( X = ic ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( requalityOnA @ Y @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(44,plain,
( ( cowlThing @ ia )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(45,plain,
( ( requalityOnA @ ia @ ia )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(46,plain,
( ( cowlThing @ ib )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(47,plain,
( ( cowlThing @ ic )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(48,plain,
( ( ~ ! [X: $i] : ( cowlThing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[38]) ).
thf(49,plain,
( ( ~ ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[39]) ).
thf(50,plain,
( ( ~ ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[40]) ).
thf(51,plain,
( ( ~ ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[41]) ).
thf(52,plain,
( ( ~ ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( ( X = ia )
| ( X = ib )
| ( X = ic ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[42]) ).
thf(53,plain,
( ( ~ ! [X: $i,Y: $i] :
( ( requalityOnA @ X @ Y )
=> ( requalityOnA @ Y @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[43]) ).
thf(54,plain,
( ( ~ ( cowlThing @ ia ) )
= $true ),
inference(polarity_switch,[status(thm)],[44]) ).
thf(55,plain,
( ( ~ ( requalityOnA @ ia @ ia ) )
= $true ),
inference(polarity_switch,[status(thm)],[45]) ).
thf(56,plain,
( ( ~ ( cowlThing @ ib ) )
= $true ),
inference(polarity_switch,[status(thm)],[46]) ).
thf(57,plain,
( ( ~ ( cowlThing @ ic ) )
= $true ),
inference(polarity_switch,[status(thm)],[47]) ).
thf(58,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(59,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(60,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(61,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(62,plain,
( ( ( requalityOnA @ sK5_X @ sK6_SY30 )
& ( sK5_X != ic )
& ( sK5_X != ia )
& ( sK5_X != ib ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(63,plain,
( ( ( requalityOnA @ sK7_X @ sK8_SY31 )
& ~ ( requalityOnA @ sK8_SY31 @ sK7_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(64,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(65,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(66,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(67,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(68,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(69,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(71,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(72,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(79,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(80,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(83,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(84,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(85,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(86,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(87,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(88,plain,
( ( cowlThing @ ia )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(89,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(90,plain,
( ( cowlThing @ ib )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(91,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(92,plain,
( ( cowlThing @ ic )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(93,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(94,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(95,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(96,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(97,plain,
! [SV1: $i] :
( ( ! [SY32: $i] :
( ( SV1 != SY32 )
| ~ ( cA @ SV1 )
| ( cA @ SY32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(98,plain,
! [SV2: $i] :
( ( ! [SY33: $i] :
( ( SV2 != SY33 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(99,plain,
! [SV3: $i] :
( ( ! [SY34: $i] :
( ( SV3 != SY34 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(100,plain,
! [SV4: $i] :
( ( ! [SY35: $i,SY36: $i] :
( ( SV4 != SY35 )
| ~ ( requalityOnA @ SV4 @ SY36 )
| ( requalityOnA @ SY35 @ SY36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(101,plain,
! [SV5: $i] :
( ( ! [SY37: $i,SY38: $i] :
( ( SV5 != SY37 )
| ~ ( requalityOnA @ SY38 @ SV5 )
| ( requalityOnA @ SY38 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(102,plain,
! [SV6: $i] :
( ( ! [SY39: $i] :
( ( SV6 != SY39 )
| ~ ( xsd_integer @ SV6 )
| ( xsd_integer @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(103,plain,
! [SV7: $i] :
( ( ! [SY40: $i] :
( ( SV7 != SY40 )
| ~ ( xsd_string @ SV7 )
| ( xsd_string @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(104,plain,
! [SV8: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ~ ( requalityOnA @ SY41 @ SV8 )
| ~ ( requalityOnA @ SY42 @ SV8 )
| ( SY41 = SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(105,plain,
! [SV9: $i] :
( ( ! [SY43: $i] :
( ~ ( requalityOnA @ SV9 @ SY43 )
| ( cA @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(106,plain,
( ( cowlThing @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(107,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(108,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(109,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(110,plain,
! [SV10: $i,SV1: $i] :
( ( ( SV1 != SV10 )
| ~ ( cA @ SV1 )
| ( cA @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(111,plain,
! [SV11: $i,SV2: $i] :
( ( ( SV2 != SV11 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV12: $i,SV3: $i] :
( ( ( SV3 != SV12 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(113,plain,
! [SV13: $i,SV4: $i] :
( ( ! [SY44: $i] :
( ( SV4 != SV13 )
| ~ ( requalityOnA @ SV4 @ SY44 )
| ( requalityOnA @ SV13 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(114,plain,
! [SV14: $i,SV5: $i] :
( ( ! [SY45: $i] :
( ( SV5 != SV14 )
| ~ ( requalityOnA @ SY45 @ SV5 )
| ( requalityOnA @ SY45 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(115,plain,
! [SV15: $i,SV6: $i] :
( ( ( SV6 != SV15 )
| ~ ( xsd_integer @ SV6 )
| ( xsd_integer @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV16: $i,SV7: $i] :
( ( ( SV7 != SV16 )
| ~ ( xsd_string @ SV7 )
| ( xsd_string @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV8: $i,SV17: $i] :
( ( ! [SY46: $i] :
( ~ ( requalityOnA @ SV17 @ SV8 )
| ~ ( requalityOnA @ SY46 @ SV8 )
| ( SV17 = SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV18: $i,SV9: $i] :
( ( ~ ( requalityOnA @ SV9 @ SV18 )
| ( cA @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(119,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(120,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(121,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(122,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(123,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(124,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[109]) ).
thf(125,plain,
! [SV10: $i,SV1: $i] :
( ( ( ( SV1 != SV10 )
| ~ ( cA @ SV1 ) )
= $true )
| ( ( cA @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(126,plain,
! [SV11: $i,SV2: $i] :
( ( ( ( SV2 != SV11 )
| ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(127,plain,
! [SV12: $i,SV3: $i] :
( ( ( ( SV3 != SV12 )
| ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(128,plain,
! [SV19: $i,SV13: $i,SV4: $i] :
( ( ( SV4 != SV13 )
| ~ ( requalityOnA @ SV4 @ SV19 )
| ( requalityOnA @ SV13 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(129,plain,
! [SV20: $i,SV14: $i,SV5: $i] :
( ( ( SV5 != SV14 )
| ~ ( requalityOnA @ SV20 @ SV5 )
| ( requalityOnA @ SV20 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(130,plain,
! [SV15: $i,SV6: $i] :
( ( ( ( SV6 != SV15 )
| ~ ( xsd_integer @ SV6 ) )
= $true )
| ( ( xsd_integer @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(131,plain,
! [SV16: $i,SV7: $i] :
( ( ( ( SV7 != SV16 )
| ~ ( xsd_string @ SV7 ) )
= $true )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(132,plain,
! [SV21: $i,SV8: $i,SV17: $i] :
( ( ~ ( requalityOnA @ SV17 @ SV8 )
| ~ ( requalityOnA @ SV21 @ SV8 )
| ( SV17 = SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(133,plain,
! [SV18: $i,SV9: $i] :
( ( ( ~ ( requalityOnA @ SV9 @ SV18 ) )
= $true )
| ( ( cA @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(134,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(135,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[120]) ).
thf(136,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(137,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(138,plain,
( ( ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(139,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(140,plain,
! [SV10: $i,SV1: $i] :
( ( ( SV1 != SV10 )
= $true )
| ( ( ~ ( cA @ SV1 ) )
= $true )
| ( ( cA @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(141,plain,
! [SV11: $i,SV2: $i] :
( ( ( SV2 != SV11 )
= $true )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(142,plain,
! [SV12: $i,SV3: $i] :
( ( ( SV3 != SV12 )
= $true )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(143,plain,
! [SV19: $i,SV13: $i,SV4: $i] :
( ( ( ( SV4 != SV13 )
| ~ ( requalityOnA @ SV4 @ SV19 ) )
= $true )
| ( ( requalityOnA @ SV13 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(144,plain,
! [SV20: $i,SV14: $i,SV5: $i] :
( ( ( ( SV5 != SV14 )
| ~ ( requalityOnA @ SV20 @ SV5 ) )
= $true )
| ( ( requalityOnA @ SV20 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV15: $i,SV6: $i] :
( ( ( SV6 != SV15 )
= $true )
| ( ( ~ ( xsd_integer @ SV6 ) )
= $true )
| ( ( xsd_integer @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(146,plain,
! [SV16: $i,SV7: $i] :
( ( ( SV7 != SV16 )
= $true )
| ( ( ~ ( xsd_string @ SV7 ) )
= $true )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(147,plain,
! [SV21: $i,SV8: $i,SV17: $i] :
( ( ( ~ ( requalityOnA @ SV17 @ SV8 )
| ~ ( requalityOnA @ SV21 @ SV8 ) )
= $true )
| ( ( SV17 = SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(148,plain,
! [SV18: $i,SV9: $i] :
( ( ( requalityOnA @ SV9 @ SV18 )
= $false )
| ( ( cA @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(149,plain,
! [SV22: $i] :
( ( cowlThing @ SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(150,plain,
! [SV23: $i] :
( ( ~ ( cowlNothing @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(151,plain,
! [SV24: $i] :
( ( ~ ( xsd_string @ SV24 )
| ~ ( xsd_integer @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(152,plain,
! [SV25: $i] :
( ( ( xsd_integer @ SV25 )
| ( xsd_string @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(153,plain,
! [SV26: $i] :
( ( ~ ( cA @ SV26 )
| ( SV26 = ib )
| ( SV26 = ia ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(154,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(155,plain,
! [SV10: $i,SV1: $i] :
( ( ( SV1 = SV10 )
= $false )
| ( ( ~ ( cA @ SV1 ) )
= $true )
| ( ( cA @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(156,plain,
! [SV11: $i,SV2: $i] :
( ( ( SV2 = SV11 )
= $false )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(157,plain,
! [SV12: $i,SV3: $i] :
( ( ( SV3 = SV12 )
= $false )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(158,plain,
! [SV19: $i,SV13: $i,SV4: $i] :
( ( ( SV4 != SV13 )
= $true )
| ( ( ~ ( requalityOnA @ SV4 @ SV19 ) )
= $true )
| ( ( requalityOnA @ SV13 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(159,plain,
! [SV20: $i,SV14: $i,SV5: $i] :
( ( ( SV5 != SV14 )
= $true )
| ( ( ~ ( requalityOnA @ SV20 @ SV5 ) )
= $true )
| ( ( requalityOnA @ SV20 @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(160,plain,
! [SV15: $i,SV6: $i] :
( ( ( SV6 = SV15 )
= $false )
| ( ( ~ ( xsd_integer @ SV6 ) )
= $true )
| ( ( xsd_integer @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(161,plain,
! [SV16: $i,SV7: $i] :
( ( ( SV7 = SV16 )
= $false )
| ( ( ~ ( xsd_string @ SV7 ) )
= $true )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(162,plain,
! [SV21: $i,SV8: $i,SV17: $i] :
( ( ( ~ ( requalityOnA @ SV17 @ SV8 ) )
= $true )
| ( ( ~ ( requalityOnA @ SV21 @ SV8 ) )
= $true )
| ( ( SV17 = SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(163,plain,
! [SV23: $i] :
( ( cowlNothing @ SV23 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(164,plain,
! [SV24: $i] :
( ( ( ~ ( xsd_string @ SV24 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(165,plain,
! [SV25: $i] :
( ( ( xsd_integer @ SV25 )
= $true )
| ( ( xsd_string @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(166,plain,
! [SV26: $i] :
( ( ( ~ ( cA @ SV26 ) )
= $true )
| ( ( ( SV26 = ib )
| ( SV26 = ia ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(167,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(168,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(169,plain,
! [SV10: $i,SV1: $i] :
( ( ( cA @ SV1 )
= $false )
| ( ( SV1 = SV10 )
= $false )
| ( ( cA @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(170,plain,
! [SV11: $i,SV2: $i] :
( ( ( cowlNothing @ SV2 )
= $false )
| ( ( SV2 = SV11 )
= $false )
| ( ( cowlNothing @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(171,plain,
! [SV12: $i,SV3: $i] :
( ( ( cowlThing @ SV3 )
= $false )
| ( ( SV3 = SV12 )
= $false )
| ( ( cowlThing @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(172,plain,
! [SV19: $i,SV13: $i,SV4: $i] :
( ( ( SV4 = SV13 )
= $false )
| ( ( ~ ( requalityOnA @ SV4 @ SV19 ) )
= $true )
| ( ( requalityOnA @ SV13 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(173,plain,
! [SV20: $i,SV14: $i,SV5: $i] :
( ( ( SV5 = SV14 )
= $false )
| ( ( ~ ( requalityOnA @ SV20 @ SV5 ) )
= $true )
| ( ( requalityOnA @ SV20 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(174,plain,
! [SV15: $i,SV6: $i] :
( ( ( xsd_integer @ SV6 )
= $false )
| ( ( SV6 = SV15 )
= $false )
| ( ( xsd_integer @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(175,plain,
! [SV16: $i,SV7: $i] :
( ( ( xsd_string @ SV7 )
= $false )
| ( ( SV7 = SV16 )
= $false )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(176,plain,
! [SV21: $i,SV8: $i,SV17: $i] :
( ( ( requalityOnA @ SV17 @ SV8 )
= $false )
| ( ( ~ ( requalityOnA @ SV21 @ SV8 ) )
= $true )
| ( ( SV17 = SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(177,plain,
! [SV24: $i] :
( ( ( xsd_string @ SV24 )
= $false )
| ( ( ~ ( xsd_integer @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(178,plain,
! [SV26: $i] :
( ( ( cA @ SV26 )
= $false )
| ( ( ( SV26 = ib )
| ( SV26 = ia ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(179,plain,
( ( ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[167]) ).
thf(180,plain,
( ( ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(181,plain,
! [SV13: $i,SV19: $i,SV4: $i] :
( ( ( requalityOnA @ SV4 @ SV19 )
= $false )
| ( ( SV4 = SV13 )
= $false )
| ( ( requalityOnA @ SV13 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(182,plain,
! [SV14: $i,SV5: $i,SV20: $i] :
( ( ( requalityOnA @ SV20 @ SV5 )
= $false )
| ( ( SV5 = SV14 )
= $false )
| ( ( requalityOnA @ SV20 @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(183,plain,
! [SV17: $i,SV8: $i,SV21: $i] :
( ( ( requalityOnA @ SV21 @ SV8 )
= $false )
| ( ( requalityOnA @ SV17 @ SV8 )
= $false )
| ( ( SV17 = SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(184,plain,
! [SV24: $i] :
( ( ( xsd_integer @ SV24 )
= $false )
| ( ( xsd_string @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(185,plain,
! [SV26: $i] :
( ( ( SV26 = ib )
= $true )
| ( ( SV26 = ia )
= $true )
| ( ( cA @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(186,plain,
! [SV27: $i] :
( ( ( SV27 != ib )
| ( cA @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(187,plain,
! [SV28: $i] :
( ( ( SV28 != ia )
| ( cA @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(188,plain,
! [SV27: $i] :
( ( ( SV27 != ib )
= $true )
| ( ( cA @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(189,plain,
! [SV28: $i] :
( ( ( SV28 != ia )
= $true )
| ( ( cA @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(190,plain,
! [SV27: $i] :
( ( ( SV27 = ib )
= $false )
| ( ( cA @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(191,plain,
! [SV28: $i] :
( ( ( SV28 = ia )
= $false )
| ( ( cA @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(192,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[88,191,190,185,184,183,182,181,175,174,171,170,169,165,163,149,148,106,92,91,90,89]) ).
thf(193,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(194,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(195,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(196,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(197,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(198,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(199,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(200,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(201,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(202,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(203,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(204,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(205,plain,
( ( cowlThing @ ia )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(206,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(207,plain,
( ( cowlThing @ ib )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(208,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(209,plain,
( ( cowlThing @ ic )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(210,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(211,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(212,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(213,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(214,plain,
! [SV29: $i] :
( ( ! [SY47: $i] :
( ( SV29 != SY47 )
| ~ ( cA @ SV29 )
| ( cA @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(215,plain,
! [SV30: $i] :
( ( ! [SY48: $i] :
( ( SV30 != SY48 )
| ~ ( cowlNothing @ SV30 )
| ( cowlNothing @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(216,plain,
! [SV31: $i] :
( ( ! [SY49: $i] :
( ( SV31 != SY49 )
| ~ ( cowlThing @ SV31 )
| ( cowlThing @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(217,plain,
! [SV32: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ( SV32 != SY50 )
| ~ ( requalityOnA @ SV32 @ SY51 )
| ( requalityOnA @ SY50 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(218,plain,
! [SV33: $i] :
( ( ! [SY52: $i,SY53: $i] :
( ( SV33 != SY52 )
| ~ ( requalityOnA @ SY53 @ SV33 )
| ( requalityOnA @ SY53 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(219,plain,
! [SV34: $i] :
( ( ! [SY54: $i] :
( ( SV34 != SY54 )
| ~ ( xsd_integer @ SV34 )
| ( xsd_integer @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(220,plain,
! [SV35: $i] :
( ( ! [SY55: $i] :
( ( SV35 != SY55 )
| ~ ( xsd_string @ SV35 )
| ( xsd_string @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(221,plain,
! [SV36: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ~ ( requalityOnA @ SY56 @ SV36 )
| ~ ( requalityOnA @ SY57 @ SV36 )
| ( SY56 = SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(222,plain,
! [SV37: $i] :
( ( ! [SY58: $i] :
( ~ ( requalityOnA @ SV37 @ SY58 )
| ( cA @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(223,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(224,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(225,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(226,plain,
! [SV38: $i,SV29: $i] :
( ( ( SV29 != SV38 )
| ~ ( cA @ SV29 )
| ( cA @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(227,plain,
! [SV39: $i,SV30: $i] :
( ( ( SV30 != SV39 )
| ~ ( cowlNothing @ SV30 )
| ( cowlNothing @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(228,plain,
! [SV40: $i,SV31: $i] :
( ( ( SV31 != SV40 )
| ~ ( cowlThing @ SV31 )
| ( cowlThing @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(229,plain,
! [SV41: $i,SV32: $i] :
( ( ! [SY59: $i] :
( ( SV32 != SV41 )
| ~ ( requalityOnA @ SV32 @ SY59 )
| ( requalityOnA @ SV41 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(230,plain,
! [SV42: $i,SV33: $i] :
( ( ! [SY60: $i] :
( ( SV33 != SV42 )
| ~ ( requalityOnA @ SY60 @ SV33 )
| ( requalityOnA @ SY60 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(231,plain,
! [SV43: $i,SV34: $i] :
( ( ( SV34 != SV43 )
| ~ ( xsd_integer @ SV34 )
| ( xsd_integer @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(232,plain,
! [SV44: $i,SV35: $i] :
( ( ( SV35 != SV44 )
| ~ ( xsd_string @ SV35 )
| ( xsd_string @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(233,plain,
! [SV36: $i,SV45: $i] :
( ( ! [SY61: $i] :
( ~ ( requalityOnA @ SV45 @ SV36 )
| ~ ( requalityOnA @ SY61 @ SV36 )
| ( SV45 = SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(234,plain,
! [SV46: $i,SV37: $i] :
( ( ~ ( requalityOnA @ SV37 @ SV46 )
| ( cA @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(235,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(236,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(237,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(238,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(239,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(240,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(241,plain,
! [SV38: $i,SV29: $i] :
( ( ( ( SV29 != SV38 )
| ~ ( cA @ SV29 ) )
= $true )
| ( ( cA @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(242,plain,
! [SV39: $i,SV30: $i] :
( ( ( ( SV30 != SV39 )
| ~ ( cowlNothing @ SV30 ) )
= $true )
| ( ( cowlNothing @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(243,plain,
! [SV40: $i,SV31: $i] :
( ( ( ( SV31 != SV40 )
| ~ ( cowlThing @ SV31 ) )
= $true )
| ( ( cowlThing @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(244,plain,
! [SV47: $i,SV41: $i,SV32: $i] :
( ( ( SV32 != SV41 )
| ~ ( requalityOnA @ SV32 @ SV47 )
| ( requalityOnA @ SV41 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(245,plain,
! [SV48: $i,SV42: $i,SV33: $i] :
( ( ( SV33 != SV42 )
| ~ ( requalityOnA @ SV48 @ SV33 )
| ( requalityOnA @ SV48 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(246,plain,
! [SV43: $i,SV34: $i] :
( ( ( ( SV34 != SV43 )
| ~ ( xsd_integer @ SV34 ) )
= $true )
| ( ( xsd_integer @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(247,plain,
! [SV44: $i,SV35: $i] :
( ( ( ( SV35 != SV44 )
| ~ ( xsd_string @ SV35 ) )
= $true )
| ( ( xsd_string @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(248,plain,
! [SV49: $i,SV36: $i,SV45: $i] :
( ( ~ ( requalityOnA @ SV45 @ SV36 )
| ~ ( requalityOnA @ SV49 @ SV36 )
| ( SV45 = SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(249,plain,
! [SV46: $i,SV37: $i] :
( ( ( ~ ( requalityOnA @ SV37 @ SV46 ) )
= $true )
| ( ( cA @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(250,plain,
( ( ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(251,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(252,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(253,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(254,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(255,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(256,plain,
! [SV38: $i,SV29: $i] :
( ( ( SV29 != SV38 )
= $true )
| ( ( ~ ( cA @ SV29 ) )
= $true )
| ( ( cA @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(257,plain,
! [SV39: $i,SV30: $i] :
( ( ( SV30 != SV39 )
= $true )
| ( ( ~ ( cowlNothing @ SV30 ) )
= $true )
| ( ( cowlNothing @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(258,plain,
! [SV40: $i,SV31: $i] :
( ( ( SV31 != SV40 )
= $true )
| ( ( ~ ( cowlThing @ SV31 ) )
= $true )
| ( ( cowlThing @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(259,plain,
! [SV47: $i,SV41: $i,SV32: $i] :
( ( ( ( SV32 != SV41 )
| ~ ( requalityOnA @ SV32 @ SV47 ) )
= $true )
| ( ( requalityOnA @ SV41 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(260,plain,
! [SV48: $i,SV42: $i,SV33: $i] :
( ( ( ( SV33 != SV42 )
| ~ ( requalityOnA @ SV48 @ SV33 ) )
= $true )
| ( ( requalityOnA @ SV48 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(261,plain,
! [SV43: $i,SV34: $i] :
( ( ( SV34 != SV43 )
= $true )
| ( ( ~ ( xsd_integer @ SV34 ) )
= $true )
| ( ( xsd_integer @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(262,plain,
! [SV44: $i,SV35: $i] :
( ( ( SV35 != SV44 )
= $true )
| ( ( ~ ( xsd_string @ SV35 ) )
= $true )
| ( ( xsd_string @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(263,plain,
! [SV49: $i,SV36: $i,SV45: $i] :
( ( ( ~ ( requalityOnA @ SV45 @ SV36 )
| ~ ( requalityOnA @ SV49 @ SV36 ) )
= $true )
| ( ( SV45 = SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(264,plain,
! [SV46: $i,SV37: $i] :
( ( ( requalityOnA @ SV37 @ SV46 )
= $false )
| ( ( cA @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(265,plain,
! [SV50: $i] :
( ( ~ ( cA @ SV50 )
| ( SV50 = ib )
| ( SV50 = ia ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(266,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(267,plain,
! [SV51: $i] :
( ( ~ ( xsd_string @ SV51 )
| ~ ( xsd_integer @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(268,plain,
! [SV52: $i] :
( ( ( xsd_integer @ SV52 )
| ( xsd_string @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(269,plain,
! [SV53: $i] :
( ( cowlThing @ SV53 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(270,plain,
! [SV54: $i] :
( ( ~ ( cowlNothing @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(271,plain,
! [SV38: $i,SV29: $i] :
( ( ( SV29 = SV38 )
= $false )
| ( ( ~ ( cA @ SV29 ) )
= $true )
| ( ( cA @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(272,plain,
! [SV39: $i,SV30: $i] :
( ( ( SV30 = SV39 )
= $false )
| ( ( ~ ( cowlNothing @ SV30 ) )
= $true )
| ( ( cowlNothing @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(273,plain,
! [SV40: $i,SV31: $i] :
( ( ( SV31 = SV40 )
= $false )
| ( ( ~ ( cowlThing @ SV31 ) )
= $true )
| ( ( cowlThing @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(274,plain,
! [SV47: $i,SV41: $i,SV32: $i] :
( ( ( SV32 != SV41 )
= $true )
| ( ( ~ ( requalityOnA @ SV32 @ SV47 ) )
= $true )
| ( ( requalityOnA @ SV41 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(275,plain,
! [SV48: $i,SV42: $i,SV33: $i] :
( ( ( SV33 != SV42 )
= $true )
| ( ( ~ ( requalityOnA @ SV48 @ SV33 ) )
= $true )
| ( ( requalityOnA @ SV48 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(276,plain,
! [SV43: $i,SV34: $i] :
( ( ( SV34 = SV43 )
= $false )
| ( ( ~ ( xsd_integer @ SV34 ) )
= $true )
| ( ( xsd_integer @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(277,plain,
! [SV44: $i,SV35: $i] :
( ( ( SV35 = SV44 )
= $false )
| ( ( ~ ( xsd_string @ SV35 ) )
= $true )
| ( ( xsd_string @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(278,plain,
! [SV49: $i,SV36: $i,SV45: $i] :
( ( ( ~ ( requalityOnA @ SV45 @ SV36 ) )
= $true )
| ( ( ~ ( requalityOnA @ SV49 @ SV36 ) )
= $true )
| ( ( SV45 = SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(279,plain,
! [SV50: $i] :
( ( ( ~ ( cA @ SV50 ) )
= $true )
| ( ( ( SV50 = ib )
| ( SV50 = ia ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(280,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(281,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(282,plain,
! [SV51: $i] :
( ( ( ~ ( xsd_string @ SV51 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(283,plain,
! [SV52: $i] :
( ( ( xsd_integer @ SV52 )
= $true )
| ( ( xsd_string @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(284,plain,
! [SV54: $i] :
( ( cowlNothing @ SV54 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(285,plain,
! [SV38: $i,SV29: $i] :
( ( ( cA @ SV29 )
= $false )
| ( ( SV29 = SV38 )
= $false )
| ( ( cA @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(286,plain,
! [SV39: $i,SV30: $i] :
( ( ( cowlNothing @ SV30 )
= $false )
| ( ( SV30 = SV39 )
= $false )
| ( ( cowlNothing @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(287,plain,
! [SV40: $i,SV31: $i] :
( ( ( cowlThing @ SV31 )
= $false )
| ( ( SV31 = SV40 )
= $false )
| ( ( cowlThing @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(288,plain,
! [SV47: $i,SV41: $i,SV32: $i] :
( ( ( SV32 = SV41 )
= $false )
| ( ( ~ ( requalityOnA @ SV32 @ SV47 ) )
= $true )
| ( ( requalityOnA @ SV41 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(289,plain,
! [SV48: $i,SV42: $i,SV33: $i] :
( ( ( SV33 = SV42 )
= $false )
| ( ( ~ ( requalityOnA @ SV48 @ SV33 ) )
= $true )
| ( ( requalityOnA @ SV48 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(290,plain,
! [SV43: $i,SV34: $i] :
( ( ( xsd_integer @ SV34 )
= $false )
| ( ( SV34 = SV43 )
= $false )
| ( ( xsd_integer @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(291,plain,
! [SV44: $i,SV35: $i] :
( ( ( xsd_string @ SV35 )
= $false )
| ( ( SV35 = SV44 )
= $false )
| ( ( xsd_string @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(292,plain,
! [SV49: $i,SV36: $i,SV45: $i] :
( ( ( requalityOnA @ SV45 @ SV36 )
= $false )
| ( ( ~ ( requalityOnA @ SV49 @ SV36 ) )
= $true )
| ( ( SV45 = SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(293,plain,
! [SV50: $i] :
( ( ( cA @ SV50 )
= $false )
| ( ( ( SV50 = ib )
| ( SV50 = ia ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(294,plain,
( ( ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(295,plain,
( ( ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(296,plain,
! [SV51: $i] :
( ( ( xsd_string @ SV51 )
= $false )
| ( ( ~ ( xsd_integer @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(297,plain,
! [SV41: $i,SV47: $i,SV32: $i] :
( ( ( requalityOnA @ SV32 @ SV47 )
= $false )
| ( ( SV32 = SV41 )
= $false )
| ( ( requalityOnA @ SV41 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(298,plain,
! [SV42: $i,SV33: $i,SV48: $i] :
( ( ( requalityOnA @ SV48 @ SV33 )
= $false )
| ( ( SV33 = SV42 )
= $false )
| ( ( requalityOnA @ SV48 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(299,plain,
! [SV45: $i,SV36: $i,SV49: $i] :
( ( ( requalityOnA @ SV49 @ SV36 )
= $false )
| ( ( requalityOnA @ SV45 @ SV36 )
= $false )
| ( ( SV45 = SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(300,plain,
! [SV50: $i] :
( ( ( SV50 = ib )
= $true )
| ( ( SV50 = ia )
= $true )
| ( ( cA @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(301,plain,
! [SV55: $i] :
( ( ( SV55 != ib )
| ( cA @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(302,plain,
! [SV56: $i] :
( ( ( SV56 != ia )
| ( cA @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(303,plain,
! [SV51: $i] :
( ( ( xsd_integer @ SV51 )
= $false )
| ( ( xsd_string @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(304,plain,
! [SV55: $i] :
( ( ( SV55 != ib )
= $true )
| ( ( cA @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(305,plain,
! [SV56: $i] :
( ( ( SV56 != ia )
= $true )
| ( ( cA @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(306,plain,
! [SV55: $i] :
( ( ( SV55 = ib )
= $false )
| ( ( cA @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(307,plain,
! [SV56: $i] :
( ( ( SV56 = ia )
= $false )
| ( ( cA @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(308,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[205,307,306,303,300,299,298,297,291,290,287,286,285,284,283,269,264,210,209,208,207,206]) ).
thf(309,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(310,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(311,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(312,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(313,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(314,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(315,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(316,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(317,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(318,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(319,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(320,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(321,plain,
( ( cowlThing @ ia )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(322,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(323,plain,
( ( cowlThing @ ib )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(324,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(325,plain,
( ( cowlThing @ ic )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(326,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(327,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(328,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(329,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(330,plain,
( ( ~ ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(331,plain,
! [SV57: $i] :
( ( ! [SY62: $i] :
( ( SV57 != SY62 )
| ~ ( cA @ SV57 )
| ( cA @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(332,plain,
! [SV58: $i] :
( ( ! [SY63: $i] :
( ( SV58 != SY63 )
| ~ ( cowlNothing @ SV58 )
| ( cowlNothing @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(333,plain,
! [SV59: $i] :
( ( ! [SY64: $i] :
( ( SV59 != SY64 )
| ~ ( cowlThing @ SV59 )
| ( cowlThing @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(334,plain,
! [SV60: $i] :
( ( ! [SY65: $i,SY66: $i] :
( ( SV60 != SY65 )
| ~ ( requalityOnA @ SV60 @ SY66 )
| ( requalityOnA @ SY65 @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(335,plain,
! [SV61: $i] :
( ( ! [SY67: $i,SY68: $i] :
( ( SV61 != SY67 )
| ~ ( requalityOnA @ SY68 @ SV61 )
| ( requalityOnA @ SY68 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(336,plain,
! [SV62: $i] :
( ( ! [SY69: $i] :
( ( SV62 != SY69 )
| ~ ( xsd_integer @ SV62 )
| ( xsd_integer @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(337,plain,
! [SV63: $i] :
( ( ! [SY70: $i] :
( ( SV63 != SY70 )
| ~ ( xsd_string @ SV63 )
| ( xsd_string @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(338,plain,
! [SV64: $i] :
( ( ! [SY71: $i,SY72: $i] :
( ~ ( requalityOnA @ SY71 @ SV64 )
| ~ ( requalityOnA @ SY72 @ SV64 )
| ( SY71 = SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(339,plain,
! [SV65: $i] :
( ( ! [SY73: $i] :
( ~ ( requalityOnA @ SV65 @ SY73 )
| ( cA @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(340,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(341,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(342,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(343,plain,
( ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(344,plain,
! [SV66: $i,SV57: $i] :
( ( ( SV57 != SV66 )
| ~ ( cA @ SV57 )
| ( cA @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(345,plain,
! [SV67: $i,SV58: $i] :
( ( ( SV58 != SV67 )
| ~ ( cowlNothing @ SV58 )
| ( cowlNothing @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(346,plain,
! [SV68: $i,SV59: $i] :
( ( ( SV59 != SV68 )
| ~ ( cowlThing @ SV59 )
| ( cowlThing @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(347,plain,
! [SV69: $i,SV60: $i] :
( ( ! [SY74: $i] :
( ( SV60 != SV69 )
| ~ ( requalityOnA @ SV60 @ SY74 )
| ( requalityOnA @ SV69 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(348,plain,
! [SV70: $i,SV61: $i] :
( ( ! [SY75: $i] :
( ( SV61 != SV70 )
| ~ ( requalityOnA @ SY75 @ SV61 )
| ( requalityOnA @ SY75 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(349,plain,
! [SV71: $i,SV62: $i] :
( ( ( SV62 != SV71 )
| ~ ( xsd_integer @ SV62 )
| ( xsd_integer @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(350,plain,
! [SV72: $i,SV63: $i] :
( ( ( SV63 != SV72 )
| ~ ( xsd_string @ SV63 )
| ( xsd_string @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(351,plain,
! [SV64: $i,SV73: $i] :
( ( ! [SY76: $i] :
( ~ ( requalityOnA @ SV73 @ SV64 )
| ~ ( requalityOnA @ SY76 @ SV64 )
| ( SV73 = SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(352,plain,
! [SV74: $i,SV65: $i] :
( ( ~ ( requalityOnA @ SV65 @ SV74 )
| ( cA @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(353,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(354,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(355,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(356,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[341]) ).
thf(357,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(358,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(359,plain,
( ( ~ ( xsd_string @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(360,plain,
( ( ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(361,plain,
! [SV66: $i,SV57: $i] :
( ( ( ( SV57 != SV66 )
| ~ ( cA @ SV57 ) )
= $true )
| ( ( cA @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(362,plain,
! [SV67: $i,SV58: $i] :
( ( ( ( SV58 != SV67 )
| ~ ( cowlNothing @ SV58 ) )
= $true )
| ( ( cowlNothing @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(363,plain,
! [SV68: $i,SV59: $i] :
( ( ( ( SV59 != SV68 )
| ~ ( cowlThing @ SV59 ) )
= $true )
| ( ( cowlThing @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(364,plain,
! [SV75: $i,SV69: $i,SV60: $i] :
( ( ( SV60 != SV69 )
| ~ ( requalityOnA @ SV60 @ SV75 )
| ( requalityOnA @ SV69 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(365,plain,
! [SV76: $i,SV70: $i,SV61: $i] :
( ( ( SV61 != SV70 )
| ~ ( requalityOnA @ SV76 @ SV61 )
| ( requalityOnA @ SV76 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(366,plain,
! [SV71: $i,SV62: $i] :
( ( ( ( SV62 != SV71 )
| ~ ( xsd_integer @ SV62 ) )
= $true )
| ( ( xsd_integer @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(367,plain,
! [SV72: $i,SV63: $i] :
( ( ( ( SV63 != SV72 )
| ~ ( xsd_string @ SV63 ) )
= $true )
| ( ( xsd_string @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(368,plain,
! [SV77: $i,SV64: $i,SV73: $i] :
( ( ~ ( requalityOnA @ SV73 @ SV64 )
| ~ ( requalityOnA @ SV77 @ SV64 )
| ( SV73 = SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(369,plain,
! [SV74: $i,SV65: $i] :
( ( ( ~ ( requalityOnA @ SV65 @ SV74 ) )
= $true )
| ( ( cA @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(370,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(371,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(372,plain,
( ( ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(373,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(374,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(375,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(376,plain,
( ( xsd_string @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(377,plain,
( ( xsd_integer @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(378,plain,
! [SV66: $i,SV57: $i] :
( ( ( SV57 != SV66 )
= $true )
| ( ( ~ ( cA @ SV57 ) )
= $true )
| ( ( cA @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(379,plain,
! [SV67: $i,SV58: $i] :
( ( ( SV58 != SV67 )
= $true )
| ( ( ~ ( cowlNothing @ SV58 ) )
= $true )
| ( ( cowlNothing @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(380,plain,
! [SV68: $i,SV59: $i] :
( ( ( SV59 != SV68 )
= $true )
| ( ( ~ ( cowlThing @ SV59 ) )
= $true )
| ( ( cowlThing @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(381,plain,
! [SV75: $i,SV69: $i,SV60: $i] :
( ( ( ( SV60 != SV69 )
| ~ ( requalityOnA @ SV60 @ SV75 ) )
= $true )
| ( ( requalityOnA @ SV69 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(382,plain,
! [SV76: $i,SV70: $i,SV61: $i] :
( ( ( ( SV61 != SV70 )
| ~ ( requalityOnA @ SV76 @ SV61 ) )
= $true )
| ( ( requalityOnA @ SV76 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(383,plain,
! [SV71: $i,SV62: $i] :
( ( ( SV62 != SV71 )
= $true )
| ( ( ~ ( xsd_integer @ SV62 ) )
= $true )
| ( ( xsd_integer @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(384,plain,
! [SV72: $i,SV63: $i] :
( ( ( SV63 != SV72 )
= $true )
| ( ( ~ ( xsd_string @ SV63 ) )
= $true )
| ( ( xsd_string @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(385,plain,
! [SV77: $i,SV64: $i,SV73: $i] :
( ( ( ~ ( requalityOnA @ SV73 @ SV64 )
| ~ ( requalityOnA @ SV77 @ SV64 ) )
= $true )
| ( ( SV73 = SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(386,plain,
! [SV74: $i,SV65: $i] :
( ( ( requalityOnA @ SV65 @ SV74 )
= $false )
| ( ( cA @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(387,plain,
! [SV78: $i] :
( ( cowlThing @ SV78 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(388,plain,
! [SV79: $i] :
( ( ~ ( cowlNothing @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(389,plain,
! [SV80: $i] :
( ( ~ ( cA @ SV80 )
| ( SV80 = ib )
| ( SV80 = ia ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(390,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(391,plain,
! [SV81: $i] :
( ( ~ ( xsd_string @ SV81 )
| ~ ( xsd_integer @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(392,plain,
! [SV82: $i] :
( ( ( xsd_integer @ SV82 )
| ( xsd_string @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(393,plain,
! [SV66: $i,SV57: $i] :
( ( ( SV57 = SV66 )
= $false )
| ( ( ~ ( cA @ SV57 ) )
= $true )
| ( ( cA @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(394,plain,
! [SV67: $i,SV58: $i] :
( ( ( SV58 = SV67 )
= $false )
| ( ( ~ ( cowlNothing @ SV58 ) )
= $true )
| ( ( cowlNothing @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(395,plain,
! [SV68: $i,SV59: $i] :
( ( ( SV59 = SV68 )
= $false )
| ( ( ~ ( cowlThing @ SV59 ) )
= $true )
| ( ( cowlThing @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(396,plain,
! [SV75: $i,SV69: $i,SV60: $i] :
( ( ( SV60 != SV69 )
= $true )
| ( ( ~ ( requalityOnA @ SV60 @ SV75 ) )
= $true )
| ( ( requalityOnA @ SV69 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(397,plain,
! [SV76: $i,SV70: $i,SV61: $i] :
( ( ( SV61 != SV70 )
= $true )
| ( ( ~ ( requalityOnA @ SV76 @ SV61 ) )
= $true )
| ( ( requalityOnA @ SV76 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(398,plain,
! [SV71: $i,SV62: $i] :
( ( ( SV62 = SV71 )
= $false )
| ( ( ~ ( xsd_integer @ SV62 ) )
= $true )
| ( ( xsd_integer @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(399,plain,
! [SV72: $i,SV63: $i] :
( ( ( SV63 = SV72 )
= $false )
| ( ( ~ ( xsd_string @ SV63 ) )
= $true )
| ( ( xsd_string @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(400,plain,
! [SV77: $i,SV64: $i,SV73: $i] :
( ( ( ~ ( requalityOnA @ SV73 @ SV64 ) )
= $true )
| ( ( ~ ( requalityOnA @ SV77 @ SV64 ) )
= $true )
| ( ( SV73 = SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(401,plain,
! [SV79: $i] :
( ( cowlNothing @ SV79 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(402,plain,
! [SV80: $i] :
( ( ( ~ ( cA @ SV80 ) )
= $true )
| ( ( ( SV80 = ib )
| ( SV80 = ia ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(403,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(404,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[390]) ).
thf(405,plain,
! [SV81: $i] :
( ( ( ~ ( xsd_string @ SV81 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(406,plain,
! [SV82: $i] :
( ( ( xsd_integer @ SV82 )
= $true )
| ( ( xsd_string @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(407,plain,
! [SV66: $i,SV57: $i] :
( ( ( cA @ SV57 )
= $false )
| ( ( SV57 = SV66 )
= $false )
| ( ( cA @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(408,plain,
! [SV67: $i,SV58: $i] :
( ( ( cowlNothing @ SV58 )
= $false )
| ( ( SV58 = SV67 )
= $false )
| ( ( cowlNothing @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(409,plain,
! [SV68: $i,SV59: $i] :
( ( ( cowlThing @ SV59 )
= $false )
| ( ( SV59 = SV68 )
= $false )
| ( ( cowlThing @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(410,plain,
! [SV75: $i,SV69: $i,SV60: $i] :
( ( ( SV60 = SV69 )
= $false )
| ( ( ~ ( requalityOnA @ SV60 @ SV75 ) )
= $true )
| ( ( requalityOnA @ SV69 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(411,plain,
! [SV76: $i,SV70: $i,SV61: $i] :
( ( ( SV61 = SV70 )
= $false )
| ( ( ~ ( requalityOnA @ SV76 @ SV61 ) )
= $true )
| ( ( requalityOnA @ SV76 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(412,plain,
! [SV71: $i,SV62: $i] :
( ( ( xsd_integer @ SV62 )
= $false )
| ( ( SV62 = SV71 )
= $false )
| ( ( xsd_integer @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(413,plain,
! [SV72: $i,SV63: $i] :
( ( ( xsd_string @ SV63 )
= $false )
| ( ( SV63 = SV72 )
= $false )
| ( ( xsd_string @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(414,plain,
! [SV77: $i,SV64: $i,SV73: $i] :
( ( ( requalityOnA @ SV73 @ SV64 )
= $false )
| ( ( ~ ( requalityOnA @ SV77 @ SV64 ) )
= $true )
| ( ( SV73 = SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(415,plain,
! [SV80: $i] :
( ( ( cA @ SV80 )
= $false )
| ( ( ( SV80 = ib )
| ( SV80 = ia ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(416,plain,
( ( ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(417,plain,
( ( ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(418,plain,
! [SV81: $i] :
( ( ( xsd_string @ SV81 )
= $false )
| ( ( ~ ( xsd_integer @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(419,plain,
! [SV69: $i,SV75: $i,SV60: $i] :
( ( ( requalityOnA @ SV60 @ SV75 )
= $false )
| ( ( SV60 = SV69 )
= $false )
| ( ( requalityOnA @ SV69 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(420,plain,
! [SV70: $i,SV61: $i,SV76: $i] :
( ( ( requalityOnA @ SV76 @ SV61 )
= $false )
| ( ( SV61 = SV70 )
= $false )
| ( ( requalityOnA @ SV76 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(421,plain,
! [SV73: $i,SV64: $i,SV77: $i] :
( ( ( requalityOnA @ SV77 @ SV64 )
= $false )
| ( ( requalityOnA @ SV73 @ SV64 )
= $false )
| ( ( SV73 = SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(422,plain,
! [SV80: $i] :
( ( ( SV80 = ib )
= $true )
| ( ( SV80 = ia )
= $true )
| ( ( cA @ SV80 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(423,plain,
! [SV83: $i] :
( ( ( SV83 != ib )
| ( cA @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(424,plain,
! [SV84: $i] :
( ( ( SV84 != ia )
| ( cA @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(425,plain,
! [SV81: $i] :
( ( ( xsd_integer @ SV81 )
= $false )
| ( ( xsd_string @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(426,plain,
! [SV83: $i] :
( ( ( SV83 != ib )
= $true )
| ( ( cA @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(427,plain,
! [SV84: $i] :
( ( ( SV84 != ia )
= $true )
| ( ( cA @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(428,plain,
! [SV83: $i] :
( ( ( SV83 = ib )
= $false )
| ( ( cA @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(429,plain,
! [SV84: $i] :
( ( ( SV84 = ia )
= $false )
| ( ( cA @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(430,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[321,429,428,425,422,421,420,419,413,412,409,408,407,406,401,387,386,377,376,325,324,323,322]) ).
thf(431,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(432,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(433,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(434,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(435,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(436,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(437,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(438,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(439,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(440,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(441,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(442,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(443,plain,
( ( cowlThing @ ia )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(444,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(445,plain,
( ( cowlThing @ ib )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(446,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(447,plain,
( ( cowlThing @ ic )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(448,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(449,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(450,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(451,plain,
( ( ~ ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(452,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(453,plain,
! [SV85: $i] :
( ( ! [SY77: $i] :
( ( SV85 != SY77 )
| ~ ( cA @ SV85 )
| ( cA @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(454,plain,
! [SV86: $i] :
( ( ! [SY78: $i] :
( ( SV86 != SY78 )
| ~ ( cowlNothing @ SV86 )
| ( cowlNothing @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(455,plain,
! [SV87: $i] :
( ( ! [SY79: $i] :
( ( SV87 != SY79 )
| ~ ( cowlThing @ SV87 )
| ( cowlThing @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(456,plain,
! [SV88: $i] :
( ( ! [SY80: $i,SY81: $i] :
( ( SV88 != SY80 )
| ~ ( requalityOnA @ SV88 @ SY81 )
| ( requalityOnA @ SY80 @ SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(457,plain,
! [SV89: $i] :
( ( ! [SY82: $i,SY83: $i] :
( ( SV89 != SY82 )
| ~ ( requalityOnA @ SY83 @ SV89 )
| ( requalityOnA @ SY83 @ SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(458,plain,
! [SV90: $i] :
( ( ! [SY84: $i] :
( ( SV90 != SY84 )
| ~ ( xsd_integer @ SV90 )
| ( xsd_integer @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(459,plain,
! [SV91: $i] :
( ( ! [SY85: $i] :
( ( SV91 != SY85 )
| ~ ( xsd_string @ SV91 )
| ( xsd_string @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(460,plain,
! [SV92: $i] :
( ( ! [SY86: $i,SY87: $i] :
( ~ ( requalityOnA @ SY86 @ SV92 )
| ~ ( requalityOnA @ SY87 @ SV92 )
| ( SY86 = SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(461,plain,
! [SV93: $i] :
( ( ! [SY88: $i] :
( ~ ( requalityOnA @ SV93 @ SY88 )
| ( cA @ SY88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(462,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(463,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(464,plain,
( ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(465,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(466,plain,
! [SV94: $i,SV85: $i] :
( ( ( SV85 != SV94 )
| ~ ( cA @ SV85 )
| ( cA @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(467,plain,
! [SV95: $i,SV86: $i] :
( ( ( SV86 != SV95 )
| ~ ( cowlNothing @ SV86 )
| ( cowlNothing @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(468,plain,
! [SV96: $i,SV87: $i] :
( ( ( SV87 != SV96 )
| ~ ( cowlThing @ SV87 )
| ( cowlThing @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(469,plain,
! [SV97: $i,SV88: $i] :
( ( ! [SY89: $i] :
( ( SV88 != SV97 )
| ~ ( requalityOnA @ SV88 @ SY89 )
| ( requalityOnA @ SV97 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(470,plain,
! [SV98: $i,SV89: $i] :
( ( ! [SY90: $i] :
( ( SV89 != SV98 )
| ~ ( requalityOnA @ SY90 @ SV89 )
| ( requalityOnA @ SY90 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(471,plain,
! [SV99: $i,SV90: $i] :
( ( ( SV90 != SV99 )
| ~ ( xsd_integer @ SV90 )
| ( xsd_integer @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(472,plain,
! [SV100: $i,SV91: $i] :
( ( ( SV91 != SV100 )
| ~ ( xsd_string @ SV91 )
| ( xsd_string @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(473,plain,
! [SV92: $i,SV101: $i] :
( ( ! [SY91: $i] :
( ~ ( requalityOnA @ SV101 @ SV92 )
| ~ ( requalityOnA @ SY91 @ SV92 )
| ( SV101 = SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(474,plain,
! [SV102: $i,SV93: $i] :
( ( ~ ( requalityOnA @ SV93 @ SV102 )
| ( cA @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(475,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(476,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[462]) ).
thf(477,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(478,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[463]) ).
thf(479,plain,
( ( ~ ~ ( xsd_integer @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(480,plain,
( ( ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[464]) ).
thf(481,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(482,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(483,plain,
! [SV94: $i,SV85: $i] :
( ( ( ( SV85 != SV94 )
| ~ ( cA @ SV85 ) )
= $true )
| ( ( cA @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(484,plain,
! [SV95: $i,SV86: $i] :
( ( ( ( SV86 != SV95 )
| ~ ( cowlNothing @ SV86 ) )
= $true )
| ( ( cowlNothing @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(485,plain,
! [SV96: $i,SV87: $i] :
( ( ( ( SV87 != SV96 )
| ~ ( cowlThing @ SV87 ) )
= $true )
| ( ( cowlThing @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(486,plain,
! [SV103: $i,SV97: $i,SV88: $i] :
( ( ( SV88 != SV97 )
| ~ ( requalityOnA @ SV88 @ SV103 )
| ( requalityOnA @ SV97 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(487,plain,
! [SV104: $i,SV98: $i,SV89: $i] :
( ( ( SV89 != SV98 )
| ~ ( requalityOnA @ SV104 @ SV89 )
| ( requalityOnA @ SV104 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(488,plain,
! [SV99: $i,SV90: $i] :
( ( ( ( SV90 != SV99 )
| ~ ( xsd_integer @ SV90 ) )
= $true )
| ( ( xsd_integer @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(489,plain,
! [SV100: $i,SV91: $i] :
( ( ( ( SV91 != SV100 )
| ~ ( xsd_string @ SV91 ) )
= $true )
| ( ( xsd_string @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(490,plain,
! [SV105: $i,SV92: $i,SV101: $i] :
( ( ~ ( requalityOnA @ SV101 @ SV92 )
| ~ ( requalityOnA @ SV105 @ SV92 )
| ( SV101 = SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(491,plain,
! [SV102: $i,SV93: $i] :
( ( ( ~ ( requalityOnA @ SV93 @ SV102 ) )
= $true )
| ( ( cA @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(492,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(493,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(494,plain,
( ( ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(495,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(496,plain,
( ( ~ ( xsd_integer @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(497,plain,
( ( ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[480]) ).
thf(498,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[481]) ).
thf(499,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(500,plain,
! [SV94: $i,SV85: $i] :
( ( ( SV85 != SV94 )
= $true )
| ( ( ~ ( cA @ SV85 ) )
= $true )
| ( ( cA @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(501,plain,
! [SV95: $i,SV86: $i] :
( ( ( SV86 != SV95 )
= $true )
| ( ( ~ ( cowlNothing @ SV86 ) )
= $true )
| ( ( cowlNothing @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(502,plain,
! [SV96: $i,SV87: $i] :
( ( ( SV87 != SV96 )
= $true )
| ( ( ~ ( cowlThing @ SV87 ) )
= $true )
| ( ( cowlThing @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(503,plain,
! [SV103: $i,SV97: $i,SV88: $i] :
( ( ( ( SV88 != SV97 )
| ~ ( requalityOnA @ SV88 @ SV103 ) )
= $true )
| ( ( requalityOnA @ SV97 @ SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(504,plain,
! [SV104: $i,SV98: $i,SV89: $i] :
( ( ( ( SV89 != SV98 )
| ~ ( requalityOnA @ SV104 @ SV89 ) )
= $true )
| ( ( requalityOnA @ SV104 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(505,plain,
! [SV99: $i,SV90: $i] :
( ( ( SV90 != SV99 )
= $true )
| ( ( ~ ( xsd_integer @ SV90 ) )
= $true )
| ( ( xsd_integer @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(506,plain,
! [SV100: $i,SV91: $i] :
( ( ( SV91 != SV100 )
= $true )
| ( ( ~ ( xsd_string @ SV91 ) )
= $true )
| ( ( xsd_string @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(507,plain,
! [SV105: $i,SV92: $i,SV101: $i] :
( ( ( ~ ( requalityOnA @ SV101 @ SV92 )
| ~ ( requalityOnA @ SV105 @ SV92 ) )
= $true )
| ( ( SV101 = SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(508,plain,
! [SV102: $i,SV93: $i] :
( ( ( requalityOnA @ SV93 @ SV102 )
= $false )
| ( ( cA @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(509,plain,
! [SV106: $i] :
( ( cowlThing @ SV106 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(510,plain,
! [SV107: $i] :
( ( ~ ( cowlNothing @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(511,plain,
! [SV108: $i] :
( ( ~ ( cA @ SV108 )
| ( SV108 = ib )
| ( SV108 = ia ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(512,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(513,plain,
( ( xsd_integer @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(514,plain,
( ( xsd_string @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(515,plain,
! [SV109: $i] :
( ( ~ ( xsd_string @ SV109 )
| ~ ( xsd_integer @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(516,plain,
! [SV110: $i] :
( ( ( xsd_integer @ SV110 )
| ( xsd_string @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(517,plain,
! [SV94: $i,SV85: $i] :
( ( ( SV85 = SV94 )
= $false )
| ( ( ~ ( cA @ SV85 ) )
= $true )
| ( ( cA @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(518,plain,
! [SV95: $i,SV86: $i] :
( ( ( SV86 = SV95 )
= $false )
| ( ( ~ ( cowlNothing @ SV86 ) )
= $true )
| ( ( cowlNothing @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(519,plain,
! [SV96: $i,SV87: $i] :
( ( ( SV87 = SV96 )
= $false )
| ( ( ~ ( cowlThing @ SV87 ) )
= $true )
| ( ( cowlThing @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(520,plain,
! [SV103: $i,SV97: $i,SV88: $i] :
( ( ( SV88 != SV97 )
= $true )
| ( ( ~ ( requalityOnA @ SV88 @ SV103 ) )
= $true )
| ( ( requalityOnA @ SV97 @ SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(521,plain,
! [SV104: $i,SV98: $i,SV89: $i] :
( ( ( SV89 != SV98 )
= $true )
| ( ( ~ ( requalityOnA @ SV104 @ SV89 ) )
= $true )
| ( ( requalityOnA @ SV104 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(522,plain,
! [SV99: $i,SV90: $i] :
( ( ( SV90 = SV99 )
= $false )
| ( ( ~ ( xsd_integer @ SV90 ) )
= $true )
| ( ( xsd_integer @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(523,plain,
! [SV100: $i,SV91: $i] :
( ( ( SV91 = SV100 )
= $false )
| ( ( ~ ( xsd_string @ SV91 ) )
= $true )
| ( ( xsd_string @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(524,plain,
! [SV105: $i,SV92: $i,SV101: $i] :
( ( ( ~ ( requalityOnA @ SV101 @ SV92 ) )
= $true )
| ( ( ~ ( requalityOnA @ SV105 @ SV92 ) )
= $true )
| ( ( SV101 = SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(525,plain,
! [SV107: $i] :
( ( cowlNothing @ SV107 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(526,plain,
! [SV108: $i] :
( ( ( ~ ( cA @ SV108 ) )
= $true )
| ( ( ( SV108 = ib )
| ( SV108 = ia ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(527,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(528,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(529,plain,
! [SV109: $i] :
( ( ( ~ ( xsd_string @ SV109 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(530,plain,
! [SV110: $i] :
( ( ( xsd_integer @ SV110 )
= $true )
| ( ( xsd_string @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(531,plain,
! [SV94: $i,SV85: $i] :
( ( ( cA @ SV85 )
= $false )
| ( ( SV85 = SV94 )
= $false )
| ( ( cA @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(532,plain,
! [SV95: $i,SV86: $i] :
( ( ( cowlNothing @ SV86 )
= $false )
| ( ( SV86 = SV95 )
= $false )
| ( ( cowlNothing @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(533,plain,
! [SV96: $i,SV87: $i] :
( ( ( cowlThing @ SV87 )
= $false )
| ( ( SV87 = SV96 )
= $false )
| ( ( cowlThing @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(534,plain,
! [SV103: $i,SV97: $i,SV88: $i] :
( ( ( SV88 = SV97 )
= $false )
| ( ( ~ ( requalityOnA @ SV88 @ SV103 ) )
= $true )
| ( ( requalityOnA @ SV97 @ SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(535,plain,
! [SV104: $i,SV98: $i,SV89: $i] :
( ( ( SV89 = SV98 )
= $false )
| ( ( ~ ( requalityOnA @ SV104 @ SV89 ) )
= $true )
| ( ( requalityOnA @ SV104 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(536,plain,
! [SV99: $i,SV90: $i] :
( ( ( xsd_integer @ SV90 )
= $false )
| ( ( SV90 = SV99 )
= $false )
| ( ( xsd_integer @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(537,plain,
! [SV100: $i,SV91: $i] :
( ( ( xsd_string @ SV91 )
= $false )
| ( ( SV91 = SV100 )
= $false )
| ( ( xsd_string @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(538,plain,
! [SV105: $i,SV92: $i,SV101: $i] :
( ( ( requalityOnA @ SV101 @ SV92 )
= $false )
| ( ( ~ ( requalityOnA @ SV105 @ SV92 ) )
= $true )
| ( ( SV101 = SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(539,plain,
! [SV108: $i] :
( ( ( cA @ SV108 )
= $false )
| ( ( ( SV108 = ib )
| ( SV108 = ia ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(540,plain,
( ( ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(541,plain,
( ( ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(542,plain,
! [SV109: $i] :
( ( ( xsd_string @ SV109 )
= $false )
| ( ( ~ ( xsd_integer @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(543,plain,
! [SV97: $i,SV103: $i,SV88: $i] :
( ( ( requalityOnA @ SV88 @ SV103 )
= $false )
| ( ( SV88 = SV97 )
= $false )
| ( ( requalityOnA @ SV97 @ SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(544,plain,
! [SV98: $i,SV89: $i,SV104: $i] :
( ( ( requalityOnA @ SV104 @ SV89 )
= $false )
| ( ( SV89 = SV98 )
= $false )
| ( ( requalityOnA @ SV104 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(545,plain,
! [SV101: $i,SV92: $i,SV105: $i] :
( ( ( requalityOnA @ SV105 @ SV92 )
= $false )
| ( ( requalityOnA @ SV101 @ SV92 )
= $false )
| ( ( SV101 = SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(546,plain,
! [SV108: $i] :
( ( ( SV108 = ib )
= $true )
| ( ( SV108 = ia )
= $true )
| ( ( cA @ SV108 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(547,plain,
! [SV111: $i] :
( ( ( SV111 != ib )
| ( cA @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(548,plain,
! [SV112: $i] :
( ( ( SV112 != ia )
| ( cA @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(549,plain,
! [SV109: $i] :
( ( ( xsd_integer @ SV109 )
= $false )
| ( ( xsd_string @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(550,plain,
! [SV111: $i] :
( ( ( SV111 != ib )
= $true )
| ( ( cA @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(551,plain,
! [SV112: $i] :
( ( ( SV112 != ia )
= $true )
| ( ( cA @ SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(552,plain,
! [SV111: $i] :
( ( ( SV111 = ib )
= $false )
| ( ( cA @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(553,plain,
! [SV112: $i] :
( ( ( SV112 = ia )
= $false )
| ( ( cA @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(554,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[443,553,552,549,546,545,544,543,537,536,533,532,531,530,525,514,513,509,508,447,446,445,444]) ).
thf(555,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(556,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(557,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(558,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(559,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(560,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(561,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(562,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(563,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(564,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(565,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(566,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(567,plain,
( ( cowlThing @ ia )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(568,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(569,plain,
( ( cowlThing @ ib )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(570,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(571,plain,
( ( cowlThing @ ic )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(572,plain,
( ( ( requalityOnA @ sK5_X @ sK6_SY30 )
& ( sK5_X != ic )
& ( sK5_X != ia )
& ( sK5_X != ib ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(573,plain,
( ( ~ ( ~ ( requalityOnA @ sK5_X @ sK6_SY30 )
| ~ ~ ( ~ ( ( sK5_X != ic ) )
| ~ ~ ( ~ ( ( sK5_X != ia ) )
| ~ ( ( sK5_X != ib ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[572]) ).
thf(574,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[564]) ).
thf(575,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[562]) ).
thf(576,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[563]) ).
thf(577,plain,
! [SV113: $i] :
( ( ! [SY92: $i] :
( ( SV113 != SY92 )
| ~ ( cA @ SV113 )
| ( cA @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(578,plain,
! [SV114: $i] :
( ( ! [SY93: $i] :
( ( SV114 != SY93 )
| ~ ( cowlNothing @ SV114 )
| ( cowlNothing @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(579,plain,
! [SV115: $i] :
( ( ! [SY94: $i] :
( ( SV115 != SY94 )
| ~ ( cowlThing @ SV115 )
| ( cowlThing @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(580,plain,
! [SV116: $i] :
( ( ! [SY95: $i,SY96: $i] :
( ( SV116 != SY95 )
| ~ ( requalityOnA @ SV116 @ SY96 )
| ( requalityOnA @ SY95 @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(581,plain,
! [SV117: $i] :
( ( ! [SY97: $i,SY98: $i] :
( ( SV117 != SY97 )
| ~ ( requalityOnA @ SY98 @ SV117 )
| ( requalityOnA @ SY98 @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(582,plain,
! [SV118: $i] :
( ( ! [SY99: $i] :
( ( SV118 != SY99 )
| ~ ( xsd_integer @ SV118 )
| ( xsd_integer @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(583,plain,
! [SV119: $i] :
( ( ! [SY100: $i] :
( ( SV119 != SY100 )
| ~ ( xsd_string @ SV119 )
| ( xsd_string @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(584,plain,
! [SV120: $i] :
( ( ! [SY101: $i,SY102: $i] :
( ~ ( requalityOnA @ SY101 @ SV120 )
| ~ ( requalityOnA @ SY102 @ SV120 )
| ( SY101 = SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(585,plain,
! [SV121: $i] :
( ( ! [SY103: $i] :
( ~ ( requalityOnA @ SV121 @ SY103 )
| ( cA @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(586,plain,
( ( ~ ( requalityOnA @ sK5_X @ sK6_SY30 )
| ~ ~ ( ~ ( ( sK5_X != ic ) )
| ~ ~ ( ~ ( ( sK5_X != ia ) )
| ~ ( ( sK5_X != ib ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(587,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(588,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(589,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(590,plain,
! [SV122: $i,SV113: $i] :
( ( ( SV113 != SV122 )
| ~ ( cA @ SV113 )
| ( cA @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(591,plain,
! [SV123: $i,SV114: $i] :
( ( ( SV114 != SV123 )
| ~ ( cowlNothing @ SV114 )
| ( cowlNothing @ SV123 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(592,plain,
! [SV124: $i,SV115: $i] :
( ( ( SV115 != SV124 )
| ~ ( cowlThing @ SV115 )
| ( cowlThing @ SV124 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(593,plain,
! [SV125: $i,SV116: $i] :
( ( ! [SY104: $i] :
( ( SV116 != SV125 )
| ~ ( requalityOnA @ SV116 @ SY104 )
| ( requalityOnA @ SV125 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(594,plain,
! [SV126: $i,SV117: $i] :
( ( ! [SY105: $i] :
( ( SV117 != SV126 )
| ~ ( requalityOnA @ SY105 @ SV117 )
| ( requalityOnA @ SY105 @ SV126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(595,plain,
! [SV127: $i,SV118: $i] :
( ( ( SV118 != SV127 )
| ~ ( xsd_integer @ SV118 )
| ( xsd_integer @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(596,plain,
! [SV128: $i,SV119: $i] :
( ( ( SV119 != SV128 )
| ~ ( xsd_string @ SV119 )
| ( xsd_string @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(597,plain,
! [SV120: $i,SV129: $i] :
( ( ! [SY106: $i] :
( ~ ( requalityOnA @ SV129 @ SV120 )
| ~ ( requalityOnA @ SY106 @ SV120 )
| ( SV129 = SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(598,plain,
! [SV130: $i,SV121: $i] :
( ( ~ ( requalityOnA @ SV121 @ SV130 )
| ( cA @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(599,plain,
( ( ~ ( requalityOnA @ sK5_X @ sK6_SY30 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(600,plain,
( ( ~ ~ ( ~ ( ( sK5_X != ic ) )
| ~ ~ ( ~ ( ( sK5_X != ia ) )
| ~ ( ( sK5_X != ib ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[586]) ).
thf(601,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(602,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(603,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(604,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[588]) ).
thf(605,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(606,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(607,plain,
! [SV122: $i,SV113: $i] :
( ( ( ( SV113 != SV122 )
| ~ ( cA @ SV113 ) )
= $true )
| ( ( cA @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(608,plain,
! [SV123: $i,SV114: $i] :
( ( ( ( SV114 != SV123 )
| ~ ( cowlNothing @ SV114 ) )
= $true )
| ( ( cowlNothing @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(609,plain,
! [SV124: $i,SV115: $i] :
( ( ( ( SV115 != SV124 )
| ~ ( cowlThing @ SV115 ) )
= $true )
| ( ( cowlThing @ SV124 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(610,plain,
! [SV131: $i,SV125: $i,SV116: $i] :
( ( ( SV116 != SV125 )
| ~ ( requalityOnA @ SV116 @ SV131 )
| ( requalityOnA @ SV125 @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(611,plain,
! [SV132: $i,SV126: $i,SV117: $i] :
( ( ( SV117 != SV126 )
| ~ ( requalityOnA @ SV132 @ SV117 )
| ( requalityOnA @ SV132 @ SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(612,plain,
! [SV127: $i,SV118: $i] :
( ( ( ( SV118 != SV127 )
| ~ ( xsd_integer @ SV118 ) )
= $true )
| ( ( xsd_integer @ SV127 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(613,plain,
! [SV128: $i,SV119: $i] :
( ( ( ( SV119 != SV128 )
| ~ ( xsd_string @ SV119 ) )
= $true )
| ( ( xsd_string @ SV128 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(614,plain,
! [SV133: $i,SV120: $i,SV129: $i] :
( ( ~ ( requalityOnA @ SV129 @ SV120 )
| ~ ( requalityOnA @ SV133 @ SV120 )
| ( SV129 = SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(615,plain,
! [SV130: $i,SV121: $i] :
( ( ( ~ ( requalityOnA @ SV121 @ SV130 ) )
= $true )
| ( ( cA @ SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(616,plain,
( ( requalityOnA @ sK5_X @ sK6_SY30 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[599]) ).
thf(617,plain,
( ( ~ ( ~ ( ( sK5_X != ic ) )
| ~ ~ ( ~ ( ( sK5_X != ia ) )
| ~ ( ( sK5_X != ib ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(618,plain,
( ( ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[601]) ).
thf(619,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(620,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(621,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(622,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(623,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(624,plain,
! [SV122: $i,SV113: $i] :
( ( ( SV113 != SV122 )
= $true )
| ( ( ~ ( cA @ SV113 ) )
= $true )
| ( ( cA @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(625,plain,
! [SV123: $i,SV114: $i] :
( ( ( SV114 != SV123 )
= $true )
| ( ( ~ ( cowlNothing @ SV114 ) )
= $true )
| ( ( cowlNothing @ SV123 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(626,plain,
! [SV124: $i,SV115: $i] :
( ( ( SV115 != SV124 )
= $true )
| ( ( ~ ( cowlThing @ SV115 ) )
= $true )
| ( ( cowlThing @ SV124 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(627,plain,
! [SV131: $i,SV125: $i,SV116: $i] :
( ( ( ( SV116 != SV125 )
| ~ ( requalityOnA @ SV116 @ SV131 ) )
= $true )
| ( ( requalityOnA @ SV125 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(628,plain,
! [SV132: $i,SV126: $i,SV117: $i] :
( ( ( ( SV117 != SV126 )
| ~ ( requalityOnA @ SV132 @ SV117 ) )
= $true )
| ( ( requalityOnA @ SV132 @ SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(629,plain,
! [SV127: $i,SV118: $i] :
( ( ( SV118 != SV127 )
= $true )
| ( ( ~ ( xsd_integer @ SV118 ) )
= $true )
| ( ( xsd_integer @ SV127 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(630,plain,
! [SV128: $i,SV119: $i] :
( ( ( SV119 != SV128 )
= $true )
| ( ( ~ ( xsd_string @ SV119 ) )
= $true )
| ( ( xsd_string @ SV128 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(631,plain,
! [SV133: $i,SV120: $i,SV129: $i] :
( ( ( ~ ( requalityOnA @ SV129 @ SV120 )
| ~ ( requalityOnA @ SV133 @ SV120 ) )
= $true )
| ( ( SV129 = SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(632,plain,
! [SV130: $i,SV121: $i] :
( ( ( requalityOnA @ SV121 @ SV130 )
= $false )
| ( ( cA @ SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(633,plain,
( ( ~ ( ( sK5_X != ic ) )
| ~ ~ ( ~ ( ( sK5_X != ia ) )
| ~ ( ( sK5_X != ib ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(634,plain,
! [SV134: $i] :
( ( ~ ( cA @ SV134 )
| ( SV134 = ib )
| ( SV134 = ia ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(635,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(636,plain,
! [SV135: $i] :
( ( cowlThing @ SV135 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(637,plain,
! [SV136: $i] :
( ( ~ ( cowlNothing @ SV136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(638,plain,
! [SV137: $i] :
( ( ~ ( xsd_string @ SV137 )
| ~ ( xsd_integer @ SV137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(639,plain,
! [SV138: $i] :
( ( ( xsd_integer @ SV138 )
| ( xsd_string @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(640,plain,
! [SV122: $i,SV113: $i] :
( ( ( SV113 = SV122 )
= $false )
| ( ( ~ ( cA @ SV113 ) )
= $true )
| ( ( cA @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(641,plain,
! [SV123: $i,SV114: $i] :
( ( ( SV114 = SV123 )
= $false )
| ( ( ~ ( cowlNothing @ SV114 ) )
= $true )
| ( ( cowlNothing @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(642,plain,
! [SV124: $i,SV115: $i] :
( ( ( SV115 = SV124 )
= $false )
| ( ( ~ ( cowlThing @ SV115 ) )
= $true )
| ( ( cowlThing @ SV124 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(643,plain,
! [SV131: $i,SV125: $i,SV116: $i] :
( ( ( SV116 != SV125 )
= $true )
| ( ( ~ ( requalityOnA @ SV116 @ SV131 ) )
= $true )
| ( ( requalityOnA @ SV125 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(644,plain,
! [SV132: $i,SV126: $i,SV117: $i] :
( ( ( SV117 != SV126 )
= $true )
| ( ( ~ ( requalityOnA @ SV132 @ SV117 ) )
= $true )
| ( ( requalityOnA @ SV132 @ SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(645,plain,
! [SV127: $i,SV118: $i] :
( ( ( SV118 = SV127 )
= $false )
| ( ( ~ ( xsd_integer @ SV118 ) )
= $true )
| ( ( xsd_integer @ SV127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(646,plain,
! [SV128: $i,SV119: $i] :
( ( ( SV119 = SV128 )
= $false )
| ( ( ~ ( xsd_string @ SV119 ) )
= $true )
| ( ( xsd_string @ SV128 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(647,plain,
! [SV133: $i,SV120: $i,SV129: $i] :
( ( ( ~ ( requalityOnA @ SV129 @ SV120 ) )
= $true )
| ( ( ~ ( requalityOnA @ SV133 @ SV120 ) )
= $true )
| ( ( SV129 = SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(648,plain,
( ( ~ ( ( sK5_X != ic ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(649,plain,
( ( ~ ~ ( ~ ( ( sK5_X != ia ) )
| ~ ( ( sK5_X != ib ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(650,plain,
! [SV134: $i] :
( ( ( ~ ( cA @ SV134 ) )
= $true )
| ( ( ( SV134 = ib )
| ( SV134 = ia ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(651,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(652,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[635]) ).
thf(653,plain,
! [SV136: $i] :
( ( cowlNothing @ SV136 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(654,plain,
! [SV137: $i] :
( ( ( ~ ( xsd_string @ SV137 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(655,plain,
! [SV138: $i] :
( ( ( xsd_integer @ SV138 )
= $true )
| ( ( xsd_string @ SV138 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(656,plain,
! [SV122: $i,SV113: $i] :
( ( ( cA @ SV113 )
= $false )
| ( ( SV113 = SV122 )
= $false )
| ( ( cA @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(657,plain,
! [SV123: $i,SV114: $i] :
( ( ( cowlNothing @ SV114 )
= $false )
| ( ( SV114 = SV123 )
= $false )
| ( ( cowlNothing @ SV123 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(658,plain,
! [SV124: $i,SV115: $i] :
( ( ( cowlThing @ SV115 )
= $false )
| ( ( SV115 = SV124 )
= $false )
| ( ( cowlThing @ SV124 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(659,plain,
! [SV131: $i,SV125: $i,SV116: $i] :
( ( ( SV116 = SV125 )
= $false )
| ( ( ~ ( requalityOnA @ SV116 @ SV131 ) )
= $true )
| ( ( requalityOnA @ SV125 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(660,plain,
! [SV132: $i,SV126: $i,SV117: $i] :
( ( ( SV117 = SV126 )
= $false )
| ( ( ~ ( requalityOnA @ SV132 @ SV117 ) )
= $true )
| ( ( requalityOnA @ SV132 @ SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(661,plain,
! [SV127: $i,SV118: $i] :
( ( ( xsd_integer @ SV118 )
= $false )
| ( ( SV118 = SV127 )
= $false )
| ( ( xsd_integer @ SV127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(662,plain,
! [SV128: $i,SV119: $i] :
( ( ( xsd_string @ SV119 )
= $false )
| ( ( SV119 = SV128 )
= $false )
| ( ( xsd_string @ SV128 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(663,plain,
! [SV133: $i,SV120: $i,SV129: $i] :
( ( ( requalityOnA @ SV129 @ SV120 )
= $false )
| ( ( ~ ( requalityOnA @ SV133 @ SV120 ) )
= $true )
| ( ( SV129 = SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(664,plain,
( ( sK5_X != ic )
= $true ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(665,plain,
( ( ~ ( ~ ( ( sK5_X != ia ) )
| ~ ( ( sK5_X != ib ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(666,plain,
! [SV134: $i] :
( ( ( cA @ SV134 )
= $false )
| ( ( ( SV134 = ib )
| ( SV134 = ia ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(667,plain,
( ( ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(668,plain,
( ( ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(669,plain,
! [SV137: $i] :
( ( ( xsd_string @ SV137 )
= $false )
| ( ( ~ ( xsd_integer @ SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[654]) ).
thf(670,plain,
! [SV125: $i,SV131: $i,SV116: $i] :
( ( ( requalityOnA @ SV116 @ SV131 )
= $false )
| ( ( SV116 = SV125 )
= $false )
| ( ( requalityOnA @ SV125 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(671,plain,
! [SV126: $i,SV117: $i,SV132: $i] :
( ( ( requalityOnA @ SV132 @ SV117 )
= $false )
| ( ( SV117 = SV126 )
= $false )
| ( ( requalityOnA @ SV132 @ SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(672,plain,
! [SV129: $i,SV120: $i,SV133: $i] :
( ( ( requalityOnA @ SV133 @ SV120 )
= $false )
| ( ( requalityOnA @ SV129 @ SV120 )
= $false )
| ( ( SV129 = SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(673,plain,
( ( sK5_X = ic )
= $false ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(674,plain,
( ( ~ ( ( sK5_X != ia ) )
| ~ ( ( sK5_X != ib ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(675,plain,
! [SV134: $i] :
( ( ( SV134 = ib )
= $true )
| ( ( SV134 = ia )
= $true )
| ( ( cA @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(676,plain,
! [SV139: $i] :
( ( ( SV139 != ib )
| ( cA @ SV139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(677,plain,
! [SV140: $i] :
( ( ( SV140 != ia )
| ( cA @ SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(678,plain,
! [SV137: $i] :
( ( ( xsd_integer @ SV137 )
= $false )
| ( ( xsd_string @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(679,plain,
( ( ~ ( ( sK5_X != ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(680,plain,
( ( ~ ( ( sK5_X != ib ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(681,plain,
! [SV139: $i] :
( ( ( SV139 != ib )
= $true )
| ( ( cA @ SV139 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(682,plain,
! [SV140: $i] :
( ( ( SV140 != ia )
= $true )
| ( ( cA @ SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(683,plain,
( ( sK5_X != ia )
= $true ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(684,plain,
( ( sK5_X != ib )
= $true ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(685,plain,
! [SV139: $i] :
( ( ( SV139 = ib )
= $false )
| ( ( cA @ SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(686,plain,
! [SV140: $i] :
( ( ( SV140 = ia )
= $false )
| ( ( cA @ SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(687,plain,
( ( sK5_X = ia )
= $false ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(688,plain,
( ( sK5_X = ib )
= $false ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(689,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[567,688,687,686,685,678,675,673,672,671,670,662,661,658,657,656,655,653,636,632,616,571,570,569,568]) ).
thf(690,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(691,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(692,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(693,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(694,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(695,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(696,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(697,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(698,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(699,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(700,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(701,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(702,plain,
( ( cowlThing @ ia )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(703,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(704,plain,
( ( cowlThing @ ib )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(705,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(706,plain,
( ( cowlThing @ ic )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(707,plain,
( ( ( requalityOnA @ sK7_X @ sK8_SY31 )
& ~ ( requalityOnA @ sK8_SY31 @ sK7_X ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(708,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[699]) ).
thf(709,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[697]) ).
thf(710,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[698]) ).
thf(711,plain,
( ( ~ ( ~ ( requalityOnA @ sK7_X @ sK8_SY31 )
| ~ ~ ( requalityOnA @ sK8_SY31 @ sK7_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[707]) ).
thf(712,plain,
! [SV141: $i] :
( ( ! [SY107: $i] :
( ( SV141 != SY107 )
| ~ ( cA @ SV141 )
| ( cA @ SY107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(713,plain,
! [SV142: $i] :
( ( ! [SY108: $i] :
( ( SV142 != SY108 )
| ~ ( cowlNothing @ SV142 )
| ( cowlNothing @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(714,plain,
! [SV143: $i] :
( ( ! [SY109: $i] :
( ( SV143 != SY109 )
| ~ ( cowlThing @ SV143 )
| ( cowlThing @ SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(715,plain,
! [SV144: $i] :
( ( ! [SY110: $i,SY111: $i] :
( ( SV144 != SY110 )
| ~ ( requalityOnA @ SV144 @ SY111 )
| ( requalityOnA @ SY110 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(716,plain,
! [SV145: $i] :
( ( ! [SY112: $i,SY113: $i] :
( ( SV145 != SY112 )
| ~ ( requalityOnA @ SY113 @ SV145 )
| ( requalityOnA @ SY113 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(717,plain,
! [SV146: $i] :
( ( ! [SY114: $i] :
( ( SV146 != SY114 )
| ~ ( xsd_integer @ SV146 )
| ( xsd_integer @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(718,plain,
! [SV147: $i] :
( ( ! [SY115: $i] :
( ( SV147 != SY115 )
| ~ ( xsd_string @ SV147 )
| ( xsd_string @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(719,plain,
! [SV148: $i] :
( ( ! [SY116: $i,SY117: $i] :
( ~ ( requalityOnA @ SY116 @ SV148 )
| ~ ( requalityOnA @ SY117 @ SV148 )
| ( SY116 = SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(720,plain,
! [SV149: $i] :
( ( ! [SY118: $i] :
( ~ ( requalityOnA @ SV149 @ SY118 )
| ( cA @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(721,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(722,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(723,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(724,plain,
( ( ~ ( requalityOnA @ sK7_X @ sK8_SY31 )
| ~ ~ ( requalityOnA @ sK8_SY31 @ sK7_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[711]) ).
thf(725,plain,
! [SV150: $i,SV141: $i] :
( ( ( SV141 != SV150 )
| ~ ( cA @ SV141 )
| ( cA @ SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(726,plain,
! [SV151: $i,SV142: $i] :
( ( ( SV142 != SV151 )
| ~ ( cowlNothing @ SV142 )
| ( cowlNothing @ SV151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(727,plain,
! [SV152: $i,SV143: $i] :
( ( ( SV143 != SV152 )
| ~ ( cowlThing @ SV143 )
| ( cowlThing @ SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(728,plain,
! [SV153: $i,SV144: $i] :
( ( ! [SY119: $i] :
( ( SV144 != SV153 )
| ~ ( requalityOnA @ SV144 @ SY119 )
| ( requalityOnA @ SV153 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(729,plain,
! [SV154: $i,SV145: $i] :
( ( ! [SY120: $i] :
( ( SV145 != SV154 )
| ~ ( requalityOnA @ SY120 @ SV145 )
| ( requalityOnA @ SY120 @ SV154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(730,plain,
! [SV155: $i,SV146: $i] :
( ( ( SV146 != SV155 )
| ~ ( xsd_integer @ SV146 )
| ( xsd_integer @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(731,plain,
! [SV156: $i,SV147: $i] :
( ( ( SV147 != SV156 )
| ~ ( xsd_string @ SV147 )
| ( xsd_string @ SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(732,plain,
! [SV148: $i,SV157: $i] :
( ( ! [SY121: $i] :
( ~ ( requalityOnA @ SV157 @ SV148 )
| ~ ( requalityOnA @ SY121 @ SV148 )
| ( SV157 = SY121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(733,plain,
! [SV158: $i,SV149: $i] :
( ( ~ ( requalityOnA @ SV149 @ SV158 )
| ( cA @ SV158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(734,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(735,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(736,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(737,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(738,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(739,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(740,plain,
( ( ~ ( requalityOnA @ sK7_X @ sK8_SY31 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(741,plain,
( ( ~ ~ ( requalityOnA @ sK8_SY31 @ sK7_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(742,plain,
! [SV150: $i,SV141: $i] :
( ( ( ( SV141 != SV150 )
| ~ ( cA @ SV141 ) )
= $true )
| ( ( cA @ SV150 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(743,plain,
! [SV151: $i,SV142: $i] :
( ( ( ( SV142 != SV151 )
| ~ ( cowlNothing @ SV142 ) )
= $true )
| ( ( cowlNothing @ SV151 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(744,plain,
! [SV152: $i,SV143: $i] :
( ( ( ( SV143 != SV152 )
| ~ ( cowlThing @ SV143 ) )
= $true )
| ( ( cowlThing @ SV152 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(745,plain,
! [SV159: $i,SV153: $i,SV144: $i] :
( ( ( SV144 != SV153 )
| ~ ( requalityOnA @ SV144 @ SV159 )
| ( requalityOnA @ SV153 @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(746,plain,
! [SV160: $i,SV154: $i,SV145: $i] :
( ( ( SV145 != SV154 )
| ~ ( requalityOnA @ SV160 @ SV145 )
| ( requalityOnA @ SV160 @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(747,plain,
! [SV155: $i,SV146: $i] :
( ( ( ( SV146 != SV155 )
| ~ ( xsd_integer @ SV146 ) )
= $true )
| ( ( xsd_integer @ SV155 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(748,plain,
! [SV156: $i,SV147: $i] :
( ( ( ( SV147 != SV156 )
| ~ ( xsd_string @ SV147 ) )
= $true )
| ( ( xsd_string @ SV156 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(749,plain,
! [SV161: $i,SV148: $i,SV157: $i] :
( ( ~ ( requalityOnA @ SV157 @ SV148 )
| ~ ( requalityOnA @ SV161 @ SV148 )
| ( SV157 = SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(750,plain,
! [SV158: $i,SV149: $i] :
( ( ( ~ ( requalityOnA @ SV149 @ SV158 ) )
= $true )
| ( ( cA @ SV158 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(751,plain,
( ( ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[734]) ).
thf(752,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(753,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(754,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(755,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(756,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(757,plain,
( ( requalityOnA @ sK7_X @ sK8_SY31 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(758,plain,
( ( ~ ( requalityOnA @ sK8_SY31 @ sK7_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(759,plain,
! [SV150: $i,SV141: $i] :
( ( ( SV141 != SV150 )
= $true )
| ( ( ~ ( cA @ SV141 ) )
= $true )
| ( ( cA @ SV150 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(760,plain,
! [SV151: $i,SV142: $i] :
( ( ( SV142 != SV151 )
= $true )
| ( ( ~ ( cowlNothing @ SV142 ) )
= $true )
| ( ( cowlNothing @ SV151 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(761,plain,
! [SV152: $i,SV143: $i] :
( ( ( SV143 != SV152 )
= $true )
| ( ( ~ ( cowlThing @ SV143 ) )
= $true )
| ( ( cowlThing @ SV152 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(762,plain,
! [SV159: $i,SV153: $i,SV144: $i] :
( ( ( ( SV144 != SV153 )
| ~ ( requalityOnA @ SV144 @ SV159 ) )
= $true )
| ( ( requalityOnA @ SV153 @ SV159 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(763,plain,
! [SV160: $i,SV154: $i,SV145: $i] :
( ( ( ( SV145 != SV154 )
| ~ ( requalityOnA @ SV160 @ SV145 ) )
= $true )
| ( ( requalityOnA @ SV160 @ SV154 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(764,plain,
! [SV155: $i,SV146: $i] :
( ( ( SV146 != SV155 )
= $true )
| ( ( ~ ( xsd_integer @ SV146 ) )
= $true )
| ( ( xsd_integer @ SV155 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(765,plain,
! [SV156: $i,SV147: $i] :
( ( ( SV147 != SV156 )
= $true )
| ( ( ~ ( xsd_string @ SV147 ) )
= $true )
| ( ( xsd_string @ SV156 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(766,plain,
! [SV161: $i,SV148: $i,SV157: $i] :
( ( ( ~ ( requalityOnA @ SV157 @ SV148 )
| ~ ( requalityOnA @ SV161 @ SV148 ) )
= $true )
| ( ( SV157 = SV161 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(767,plain,
! [SV158: $i,SV149: $i] :
( ( ( requalityOnA @ SV149 @ SV158 )
= $false )
| ( ( cA @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(768,plain,
! [SV162: $i] :
( ( ~ ( cA @ SV162 )
| ( SV162 = ib )
| ( SV162 = ia ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(769,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(770,plain,
! [SV163: $i] :
( ( cowlThing @ SV163 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(771,plain,
! [SV164: $i] :
( ( ~ ( cowlNothing @ SV164 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(772,plain,
! [SV165: $i] :
( ( ~ ( xsd_string @ SV165 )
| ~ ( xsd_integer @ SV165 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(773,plain,
! [SV166: $i] :
( ( ( xsd_integer @ SV166 )
| ( xsd_string @ SV166 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(774,plain,
( ( requalityOnA @ sK8_SY31 @ sK7_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(775,plain,
! [SV150: $i,SV141: $i] :
( ( ( SV141 = SV150 )
= $false )
| ( ( ~ ( cA @ SV141 ) )
= $true )
| ( ( cA @ SV150 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(776,plain,
! [SV151: $i,SV142: $i] :
( ( ( SV142 = SV151 )
= $false )
| ( ( ~ ( cowlNothing @ SV142 ) )
= $true )
| ( ( cowlNothing @ SV151 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(777,plain,
! [SV152: $i,SV143: $i] :
( ( ( SV143 = SV152 )
= $false )
| ( ( ~ ( cowlThing @ SV143 ) )
= $true )
| ( ( cowlThing @ SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(778,plain,
! [SV159: $i,SV153: $i,SV144: $i] :
( ( ( SV144 != SV153 )
= $true )
| ( ( ~ ( requalityOnA @ SV144 @ SV159 ) )
= $true )
| ( ( requalityOnA @ SV153 @ SV159 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(779,plain,
! [SV160: $i,SV154: $i,SV145: $i] :
( ( ( SV145 != SV154 )
= $true )
| ( ( ~ ( requalityOnA @ SV160 @ SV145 ) )
= $true )
| ( ( requalityOnA @ SV160 @ SV154 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(780,plain,
! [SV155: $i,SV146: $i] :
( ( ( SV146 = SV155 )
= $false )
| ( ( ~ ( xsd_integer @ SV146 ) )
= $true )
| ( ( xsd_integer @ SV155 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(781,plain,
! [SV156: $i,SV147: $i] :
( ( ( SV147 = SV156 )
= $false )
| ( ( ~ ( xsd_string @ SV147 ) )
= $true )
| ( ( xsd_string @ SV156 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(782,plain,
! [SV161: $i,SV148: $i,SV157: $i] :
( ( ( ~ ( requalityOnA @ SV157 @ SV148 ) )
= $true )
| ( ( ~ ( requalityOnA @ SV161 @ SV148 ) )
= $true )
| ( ( SV157 = SV161 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(783,plain,
! [SV162: $i] :
( ( ( ~ ( cA @ SV162 ) )
= $true )
| ( ( ( SV162 = ib )
| ( SV162 = ia ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(784,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(785,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(786,plain,
! [SV164: $i] :
( ( cowlNothing @ SV164 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(787,plain,
! [SV165: $i] :
( ( ( ~ ( xsd_string @ SV165 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(788,plain,
! [SV166: $i] :
( ( ( xsd_integer @ SV166 )
= $true )
| ( ( xsd_string @ SV166 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(789,plain,
! [SV150: $i,SV141: $i] :
( ( ( cA @ SV141 )
= $false )
| ( ( SV141 = SV150 )
= $false )
| ( ( cA @ SV150 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(790,plain,
! [SV151: $i,SV142: $i] :
( ( ( cowlNothing @ SV142 )
= $false )
| ( ( SV142 = SV151 )
= $false )
| ( ( cowlNothing @ SV151 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(791,plain,
! [SV152: $i,SV143: $i] :
( ( ( cowlThing @ SV143 )
= $false )
| ( ( SV143 = SV152 )
= $false )
| ( ( cowlThing @ SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(792,plain,
! [SV159: $i,SV153: $i,SV144: $i] :
( ( ( SV144 = SV153 )
= $false )
| ( ( ~ ( requalityOnA @ SV144 @ SV159 ) )
= $true )
| ( ( requalityOnA @ SV153 @ SV159 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(793,plain,
! [SV160: $i,SV154: $i,SV145: $i] :
( ( ( SV145 = SV154 )
= $false )
| ( ( ~ ( requalityOnA @ SV160 @ SV145 ) )
= $true )
| ( ( requalityOnA @ SV160 @ SV154 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(794,plain,
! [SV155: $i,SV146: $i] :
( ( ( xsd_integer @ SV146 )
= $false )
| ( ( SV146 = SV155 )
= $false )
| ( ( xsd_integer @ SV155 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(795,plain,
! [SV156: $i,SV147: $i] :
( ( ( xsd_string @ SV147 )
= $false )
| ( ( SV147 = SV156 )
= $false )
| ( ( xsd_string @ SV156 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(796,plain,
! [SV161: $i,SV148: $i,SV157: $i] :
( ( ( requalityOnA @ SV157 @ SV148 )
= $false )
| ( ( ~ ( requalityOnA @ SV161 @ SV148 ) )
= $true )
| ( ( SV157 = SV161 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(797,plain,
! [SV162: $i] :
( ( ( cA @ SV162 )
= $false )
| ( ( ( SV162 = ib )
| ( SV162 = ia ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(798,plain,
( ( ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(799,plain,
( ( ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(800,plain,
! [SV165: $i] :
( ( ( xsd_string @ SV165 )
= $false )
| ( ( ~ ( xsd_integer @ SV165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(801,plain,
! [SV153: $i,SV159: $i,SV144: $i] :
( ( ( requalityOnA @ SV144 @ SV159 )
= $false )
| ( ( SV144 = SV153 )
= $false )
| ( ( requalityOnA @ SV153 @ SV159 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(802,plain,
! [SV154: $i,SV145: $i,SV160: $i] :
( ( ( requalityOnA @ SV160 @ SV145 )
= $false )
| ( ( SV145 = SV154 )
= $false )
| ( ( requalityOnA @ SV160 @ SV154 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(803,plain,
! [SV157: $i,SV148: $i,SV161: $i] :
( ( ( requalityOnA @ SV161 @ SV148 )
= $false )
| ( ( requalityOnA @ SV157 @ SV148 )
= $false )
| ( ( SV157 = SV161 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(804,plain,
! [SV162: $i] :
( ( ( SV162 = ib )
= $true )
| ( ( SV162 = ia )
= $true )
| ( ( cA @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(805,plain,
! [SV167: $i] :
( ( ( SV167 != ib )
| ( cA @ SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(806,plain,
! [SV168: $i] :
( ( ( SV168 != ia )
| ( cA @ SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(807,plain,
! [SV165: $i] :
( ( ( xsd_integer @ SV165 )
= $false )
| ( ( xsd_string @ SV165 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(808,plain,
! [SV167: $i] :
( ( ( SV167 != ib )
= $true )
| ( ( cA @ SV167 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(809,plain,
! [SV168: $i] :
( ( ( SV168 != ia )
= $true )
| ( ( cA @ SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[806]) ).
thf(810,plain,
! [SV167: $i] :
( ( ( SV167 = ib )
= $false )
| ( ( cA @ SV167 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(811,plain,
! [SV168: $i] :
( ( ( SV168 = ia )
= $false )
| ( ( cA @ SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(812,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[702,811,810,807,804,803,802,801,795,794,791,790,789,788,786,774,770,767,757,706,705,704,703]) ).
thf(813,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(814,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(815,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(816,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(817,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(818,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(819,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(820,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(821,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(822,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(823,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(824,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(825,plain,
( ( cowlThing @ ia )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(826,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(827,plain,
( ( cowlThing @ ib )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(828,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(829,plain,
( ( cowlThing @ ic )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(830,plain,
( ( ~ ( cowlThing @ ia ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(831,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[822]) ).
thf(832,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[820]) ).
thf(833,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[821]) ).
thf(834,plain,
! [SV169: $i] :
( ( ! [SY122: $i] :
( ( SV169 != SY122 )
| ~ ( cA @ SV169 )
| ( cA @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(835,plain,
! [SV170: $i] :
( ( ! [SY123: $i] :
( ( SV170 != SY123 )
| ~ ( cowlNothing @ SV170 )
| ( cowlNothing @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(836,plain,
! [SV171: $i] :
( ( ! [SY124: $i] :
( ( SV171 != SY124 )
| ~ ( cowlThing @ SV171 )
| ( cowlThing @ SY124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(837,plain,
! [SV172: $i] :
( ( ! [SY125: $i,SY126: $i] :
( ( SV172 != SY125 )
| ~ ( requalityOnA @ SV172 @ SY126 )
| ( requalityOnA @ SY125 @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(838,plain,
! [SV173: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ( SV173 != SY127 )
| ~ ( requalityOnA @ SY128 @ SV173 )
| ( requalityOnA @ SY128 @ SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(839,plain,
! [SV174: $i] :
( ( ! [SY129: $i] :
( ( SV174 != SY129 )
| ~ ( xsd_integer @ SV174 )
| ( xsd_integer @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(840,plain,
! [SV175: $i] :
( ( ! [SY130: $i] :
( ( SV175 != SY130 )
| ~ ( xsd_string @ SV175 )
| ( xsd_string @ SY130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(841,plain,
! [SV176: $i] :
( ( ! [SY131: $i,SY132: $i] :
( ~ ( requalityOnA @ SY131 @ SV176 )
| ~ ( requalityOnA @ SY132 @ SV176 )
| ( SY131 = SY132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(842,plain,
! [SV177: $i] :
( ( ! [SY133: $i] :
( ~ ( requalityOnA @ SV177 @ SY133 )
| ( cA @ SY133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(843,plain,
( ( cowlThing @ ia )
= $false ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(844,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(845,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(846,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(847,plain,
! [SV178: $i,SV169: $i] :
( ( ( SV169 != SV178 )
| ~ ( cA @ SV169 )
| ( cA @ SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(848,plain,
! [SV179: $i,SV170: $i] :
( ( ( SV170 != SV179 )
| ~ ( cowlNothing @ SV170 )
| ( cowlNothing @ SV179 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(849,plain,
! [SV180: $i,SV171: $i] :
( ( ( SV171 != SV180 )
| ~ ( cowlThing @ SV171 )
| ( cowlThing @ SV180 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(850,plain,
! [SV181: $i,SV172: $i] :
( ( ! [SY134: $i] :
( ( SV172 != SV181 )
| ~ ( requalityOnA @ SV172 @ SY134 )
| ( requalityOnA @ SV181 @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(851,plain,
! [SV182: $i,SV173: $i] :
( ( ! [SY135: $i] :
( ( SV173 != SV182 )
| ~ ( requalityOnA @ SY135 @ SV173 )
| ( requalityOnA @ SY135 @ SV182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(852,plain,
! [SV183: $i,SV174: $i] :
( ( ( SV174 != SV183 )
| ~ ( xsd_integer @ SV174 )
| ( xsd_integer @ SV183 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(853,plain,
! [SV184: $i,SV175: $i] :
( ( ( SV175 != SV184 )
| ~ ( xsd_string @ SV175 )
| ( xsd_string @ SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(854,plain,
! [SV176: $i,SV185: $i] :
( ( ! [SY136: $i] :
( ~ ( requalityOnA @ SV185 @ SV176 )
| ~ ( requalityOnA @ SY136 @ SV176 )
| ( SV185 = SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(855,plain,
! [SV186: $i,SV177: $i] :
( ( ~ ( requalityOnA @ SV177 @ SV186 )
| ( cA @ SV186 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(856,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(857,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(858,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[845]) ).
thf(859,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[845]) ).
thf(860,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[846]) ).
thf(861,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[846]) ).
thf(862,plain,
! [SV178: $i,SV169: $i] :
( ( ( ( SV169 != SV178 )
| ~ ( cA @ SV169 ) )
= $true )
| ( ( cA @ SV178 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(863,plain,
! [SV179: $i,SV170: $i] :
( ( ( ( SV170 != SV179 )
| ~ ( cowlNothing @ SV170 ) )
= $true )
| ( ( cowlNothing @ SV179 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[848]) ).
thf(864,plain,
! [SV180: $i,SV171: $i] :
( ( ( ( SV171 != SV180 )
| ~ ( cowlThing @ SV171 ) )
= $true )
| ( ( cowlThing @ SV180 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(865,plain,
! [SV187: $i,SV181: $i,SV172: $i] :
( ( ( SV172 != SV181 )
| ~ ( requalityOnA @ SV172 @ SV187 )
| ( requalityOnA @ SV181 @ SV187 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(866,plain,
! [SV188: $i,SV182: $i,SV173: $i] :
( ( ( SV173 != SV182 )
| ~ ( requalityOnA @ SV188 @ SV173 )
| ( requalityOnA @ SV188 @ SV182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(867,plain,
! [SV183: $i,SV174: $i] :
( ( ( ( SV174 != SV183 )
| ~ ( xsd_integer @ SV174 ) )
= $true )
| ( ( xsd_integer @ SV183 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(868,plain,
! [SV184: $i,SV175: $i] :
( ( ( ( SV175 != SV184 )
| ~ ( xsd_string @ SV175 ) )
= $true )
| ( ( xsd_string @ SV184 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(869,plain,
! [SV189: $i,SV176: $i,SV185: $i] :
( ( ~ ( requalityOnA @ SV185 @ SV176 )
| ~ ( requalityOnA @ SV189 @ SV176 )
| ( SV185 = SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(870,plain,
! [SV186: $i,SV177: $i] :
( ( ( ~ ( requalityOnA @ SV177 @ SV186 ) )
= $true )
| ( ( cA @ SV186 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(871,plain,
( ( ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(872,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(873,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(874,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[859]) ).
thf(875,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(876,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(877,plain,
! [SV178: $i,SV169: $i] :
( ( ( SV169 != SV178 )
= $true )
| ( ( ~ ( cA @ SV169 ) )
= $true )
| ( ( cA @ SV178 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(878,plain,
! [SV179: $i,SV170: $i] :
( ( ( SV170 != SV179 )
= $true )
| ( ( ~ ( cowlNothing @ SV170 ) )
= $true )
| ( ( cowlNothing @ SV179 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(879,plain,
! [SV180: $i,SV171: $i] :
( ( ( SV171 != SV180 )
= $true )
| ( ( ~ ( cowlThing @ SV171 ) )
= $true )
| ( ( cowlThing @ SV180 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(880,plain,
! [SV187: $i,SV181: $i,SV172: $i] :
( ( ( ( SV172 != SV181 )
| ~ ( requalityOnA @ SV172 @ SV187 ) )
= $true )
| ( ( requalityOnA @ SV181 @ SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(881,plain,
! [SV188: $i,SV182: $i,SV173: $i] :
( ( ( ( SV173 != SV182 )
| ~ ( requalityOnA @ SV188 @ SV173 ) )
= $true )
| ( ( requalityOnA @ SV188 @ SV182 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(882,plain,
! [SV183: $i,SV174: $i] :
( ( ( SV174 != SV183 )
= $true )
| ( ( ~ ( xsd_integer @ SV174 ) )
= $true )
| ( ( xsd_integer @ SV183 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(883,plain,
! [SV184: $i,SV175: $i] :
( ( ( SV175 != SV184 )
= $true )
| ( ( ~ ( xsd_string @ SV175 ) )
= $true )
| ( ( xsd_string @ SV184 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(884,plain,
! [SV189: $i,SV176: $i,SV185: $i] :
( ( ( ~ ( requalityOnA @ SV185 @ SV176 )
| ~ ( requalityOnA @ SV189 @ SV176 ) )
= $true )
| ( ( SV185 = SV189 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(885,plain,
! [SV186: $i,SV177: $i] :
( ( ( requalityOnA @ SV177 @ SV186 )
= $false )
| ( ( cA @ SV186 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(886,plain,
! [SV190: $i] :
( ( ~ ( cA @ SV190 )
| ( SV190 = ib )
| ( SV190 = ia ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(887,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(888,plain,
! [SV191: $i] :
( ( cowlThing @ SV191 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(889,plain,
! [SV192: $i] :
( ( ~ ( cowlNothing @ SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(890,plain,
! [SV193: $i] :
( ( ~ ( xsd_string @ SV193 )
| ~ ( xsd_integer @ SV193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(891,plain,
! [SV194: $i] :
( ( ( xsd_integer @ SV194 )
| ( xsd_string @ SV194 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(892,plain,
! [SV178: $i,SV169: $i] :
( ( ( SV169 = SV178 )
= $false )
| ( ( ~ ( cA @ SV169 ) )
= $true )
| ( ( cA @ SV178 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(893,plain,
! [SV179: $i,SV170: $i] :
( ( ( SV170 = SV179 )
= $false )
| ( ( ~ ( cowlNothing @ SV170 ) )
= $true )
| ( ( cowlNothing @ SV179 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(894,plain,
! [SV180: $i,SV171: $i] :
( ( ( SV171 = SV180 )
= $false )
| ( ( ~ ( cowlThing @ SV171 ) )
= $true )
| ( ( cowlThing @ SV180 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(895,plain,
! [SV187: $i,SV181: $i,SV172: $i] :
( ( ( SV172 != SV181 )
= $true )
| ( ( ~ ( requalityOnA @ SV172 @ SV187 ) )
= $true )
| ( ( requalityOnA @ SV181 @ SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(896,plain,
! [SV188: $i,SV182: $i,SV173: $i] :
( ( ( SV173 != SV182 )
= $true )
| ( ( ~ ( requalityOnA @ SV188 @ SV173 ) )
= $true )
| ( ( requalityOnA @ SV188 @ SV182 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(897,plain,
! [SV183: $i,SV174: $i] :
( ( ( SV174 = SV183 )
= $false )
| ( ( ~ ( xsd_integer @ SV174 ) )
= $true )
| ( ( xsd_integer @ SV183 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(898,plain,
! [SV184: $i,SV175: $i] :
( ( ( SV175 = SV184 )
= $false )
| ( ( ~ ( xsd_string @ SV175 ) )
= $true )
| ( ( xsd_string @ SV184 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(899,plain,
! [SV189: $i,SV176: $i,SV185: $i] :
( ( ( ~ ( requalityOnA @ SV185 @ SV176 ) )
= $true )
| ( ( ~ ( requalityOnA @ SV189 @ SV176 ) )
= $true )
| ( ( SV185 = SV189 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(900,plain,
! [SV190: $i] :
( ( ( ~ ( cA @ SV190 ) )
= $true )
| ( ( ( SV190 = ib )
| ( SV190 = ia ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(901,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(902,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(903,plain,
! [SV192: $i] :
( ( cowlNothing @ SV192 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(904,plain,
! [SV193: $i] :
( ( ( ~ ( xsd_string @ SV193 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV193 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[890]) ).
thf(905,plain,
! [SV194: $i] :
( ( ( xsd_integer @ SV194 )
= $true )
| ( ( xsd_string @ SV194 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(906,plain,
! [SV178: $i,SV169: $i] :
( ( ( cA @ SV169 )
= $false )
| ( ( SV169 = SV178 )
= $false )
| ( ( cA @ SV178 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(907,plain,
! [SV179: $i,SV170: $i] :
( ( ( cowlNothing @ SV170 )
= $false )
| ( ( SV170 = SV179 )
= $false )
| ( ( cowlNothing @ SV179 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(908,plain,
! [SV180: $i,SV171: $i] :
( ( ( cowlThing @ SV171 )
= $false )
| ( ( SV171 = SV180 )
= $false )
| ( ( cowlThing @ SV180 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(909,plain,
! [SV187: $i,SV181: $i,SV172: $i] :
( ( ( SV172 = SV181 )
= $false )
| ( ( ~ ( requalityOnA @ SV172 @ SV187 ) )
= $true )
| ( ( requalityOnA @ SV181 @ SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(910,plain,
! [SV188: $i,SV182: $i,SV173: $i] :
( ( ( SV173 = SV182 )
= $false )
| ( ( ~ ( requalityOnA @ SV188 @ SV173 ) )
= $true )
| ( ( requalityOnA @ SV188 @ SV182 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(911,plain,
! [SV183: $i,SV174: $i] :
( ( ( xsd_integer @ SV174 )
= $false )
| ( ( SV174 = SV183 )
= $false )
| ( ( xsd_integer @ SV183 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(912,plain,
! [SV184: $i,SV175: $i] :
( ( ( xsd_string @ SV175 )
= $false )
| ( ( SV175 = SV184 )
= $false )
| ( ( xsd_string @ SV184 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(913,plain,
! [SV189: $i,SV176: $i,SV185: $i] :
( ( ( requalityOnA @ SV185 @ SV176 )
= $false )
| ( ( ~ ( requalityOnA @ SV189 @ SV176 ) )
= $true )
| ( ( SV185 = SV189 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(914,plain,
! [SV190: $i] :
( ( ( cA @ SV190 )
= $false )
| ( ( ( SV190 = ib )
| ( SV190 = ia ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(915,plain,
( ( ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[901]) ).
thf(916,plain,
( ( ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[902]) ).
thf(917,plain,
! [SV193: $i] :
( ( ( xsd_string @ SV193 )
= $false )
| ( ( ~ ( xsd_integer @ SV193 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(918,plain,
! [SV181: $i,SV187: $i,SV172: $i] :
( ( ( requalityOnA @ SV172 @ SV187 )
= $false )
| ( ( SV172 = SV181 )
= $false )
| ( ( requalityOnA @ SV181 @ SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(919,plain,
! [SV182: $i,SV173: $i,SV188: $i] :
( ( ( requalityOnA @ SV188 @ SV173 )
= $false )
| ( ( SV173 = SV182 )
= $false )
| ( ( requalityOnA @ SV188 @ SV182 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(920,plain,
! [SV185: $i,SV176: $i,SV189: $i] :
( ( ( requalityOnA @ SV189 @ SV176 )
= $false )
| ( ( requalityOnA @ SV185 @ SV176 )
= $false )
| ( ( SV185 = SV189 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(921,plain,
! [SV190: $i] :
( ( ( SV190 = ib )
= $true )
| ( ( SV190 = ia )
= $true )
| ( ( cA @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(922,plain,
! [SV195: $i] :
( ( ( SV195 != ib )
| ( cA @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(923,plain,
! [SV196: $i] :
( ( ( SV196 != ia )
| ( cA @ SV196 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(924,plain,
! [SV193: $i] :
( ( ( xsd_integer @ SV193 )
= $false )
| ( ( xsd_string @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(925,plain,
! [SV195: $i] :
( ( ( SV195 != ib )
= $true )
| ( ( cA @ SV195 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[922]) ).
thf(926,plain,
! [SV196: $i] :
( ( ( SV196 != ia )
= $true )
| ( ( cA @ SV196 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[923]) ).
thf(927,plain,
! [SV195: $i] :
( ( ( SV195 = ib )
= $false )
| ( ( cA @ SV195 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(928,plain,
! [SV196: $i] :
( ( ( SV196 = ia )
= $false )
| ( ( cA @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(929,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[825,928,927,924,921,920,919,918,912,911,908,907,906,905,903,888,885,843,829,828,827,826]) ).
thf(930,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(931,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(932,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(933,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(934,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(935,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(936,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(937,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(938,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(939,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(940,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(941,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(942,plain,
( ( cowlThing @ ia )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(943,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(944,plain,
( ( cowlThing @ ib )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(945,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(946,plain,
( ( cowlThing @ ic )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(947,plain,
( ( ~ ( requalityOnA @ ia @ ia ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(948,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[937]) ).
thf(949,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[939]) ).
thf(950,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[938]) ).
thf(951,plain,
! [SV197: $i] :
( ( ! [SY137: $i] :
( ( SV197 != SY137 )
| ~ ( cA @ SV197 )
| ( cA @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(952,plain,
! [SV198: $i] :
( ( ! [SY138: $i] :
( ( SV198 != SY138 )
| ~ ( cowlNothing @ SV198 )
| ( cowlNothing @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(953,plain,
! [SV199: $i] :
( ( ! [SY139: $i] :
( ( SV199 != SY139 )
| ~ ( cowlThing @ SV199 )
| ( cowlThing @ SY139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(954,plain,
! [SV200: $i] :
( ( ! [SY140: $i,SY141: $i] :
( ( SV200 != SY140 )
| ~ ( requalityOnA @ SV200 @ SY141 )
| ( requalityOnA @ SY140 @ SY141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(955,plain,
! [SV201: $i] :
( ( ! [SY142: $i,SY143: $i] :
( ( SV201 != SY142 )
| ~ ( requalityOnA @ SY143 @ SV201 )
| ( requalityOnA @ SY143 @ SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(956,plain,
! [SV202: $i] :
( ( ! [SY144: $i] :
( ( SV202 != SY144 )
| ~ ( xsd_integer @ SV202 )
| ( xsd_integer @ SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(957,plain,
! [SV203: $i] :
( ( ! [SY145: $i] :
( ( SV203 != SY145 )
| ~ ( xsd_string @ SV203 )
| ( xsd_string @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(958,plain,
! [SV204: $i] :
( ( ! [SY146: $i,SY147: $i] :
( ~ ( requalityOnA @ SY146 @ SV204 )
| ~ ( requalityOnA @ SY147 @ SV204 )
| ( SY146 = SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(959,plain,
! [SV205: $i] :
( ( ! [SY148: $i] :
( ~ ( requalityOnA @ SV205 @ SY148 )
| ( cA @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(960,plain,
( ( requalityOnA @ ia @ ia )
= $false ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(961,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(962,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(963,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(964,plain,
! [SV206: $i,SV197: $i] :
( ( ( SV197 != SV206 )
| ~ ( cA @ SV197 )
| ( cA @ SV206 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(965,plain,
! [SV207: $i,SV198: $i] :
( ( ( SV198 != SV207 )
| ~ ( cowlNothing @ SV198 )
| ( cowlNothing @ SV207 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(966,plain,
! [SV208: $i,SV199: $i] :
( ( ( SV199 != SV208 )
| ~ ( cowlThing @ SV199 )
| ( cowlThing @ SV208 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(967,plain,
! [SV209: $i,SV200: $i] :
( ( ! [SY149: $i] :
( ( SV200 != SV209 )
| ~ ( requalityOnA @ SV200 @ SY149 )
| ( requalityOnA @ SV209 @ SY149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(968,plain,
! [SV210: $i,SV201: $i] :
( ( ! [SY150: $i] :
( ( SV201 != SV210 )
| ~ ( requalityOnA @ SY150 @ SV201 )
| ( requalityOnA @ SY150 @ SV210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(969,plain,
! [SV211: $i,SV202: $i] :
( ( ( SV202 != SV211 )
| ~ ( xsd_integer @ SV202 )
| ( xsd_integer @ SV211 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(970,plain,
! [SV212: $i,SV203: $i] :
( ( ( SV203 != SV212 )
| ~ ( xsd_string @ SV203 )
| ( xsd_string @ SV212 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(971,plain,
! [SV204: $i,SV213: $i] :
( ( ! [SY151: $i] :
( ~ ( requalityOnA @ SV213 @ SV204 )
| ~ ( requalityOnA @ SY151 @ SV204 )
| ( SV213 = SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(972,plain,
! [SV214: $i,SV205: $i] :
( ( ~ ( requalityOnA @ SV205 @ SV214 )
| ( cA @ SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(973,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[961]) ).
thf(974,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[961]) ).
thf(975,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(976,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(977,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(978,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[963]) ).
thf(979,plain,
! [SV206: $i,SV197: $i] :
( ( ( ( SV197 != SV206 )
| ~ ( cA @ SV197 ) )
= $true )
| ( ( cA @ SV206 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[964]) ).
thf(980,plain,
! [SV207: $i,SV198: $i] :
( ( ( ( SV198 != SV207 )
| ~ ( cowlNothing @ SV198 ) )
= $true )
| ( ( cowlNothing @ SV207 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(981,plain,
! [SV208: $i,SV199: $i] :
( ( ( ( SV199 != SV208 )
| ~ ( cowlThing @ SV199 ) )
= $true )
| ( ( cowlThing @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(982,plain,
! [SV215: $i,SV209: $i,SV200: $i] :
( ( ( SV200 != SV209 )
| ~ ( requalityOnA @ SV200 @ SV215 )
| ( requalityOnA @ SV209 @ SV215 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(983,plain,
! [SV216: $i,SV210: $i,SV201: $i] :
( ( ( SV201 != SV210 )
| ~ ( requalityOnA @ SV216 @ SV201 )
| ( requalityOnA @ SV216 @ SV210 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(984,plain,
! [SV211: $i,SV202: $i] :
( ( ( ( SV202 != SV211 )
| ~ ( xsd_integer @ SV202 ) )
= $true )
| ( ( xsd_integer @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(985,plain,
! [SV212: $i,SV203: $i] :
( ( ( ( SV203 != SV212 )
| ~ ( xsd_string @ SV203 ) )
= $true )
| ( ( xsd_string @ SV212 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(986,plain,
! [SV217: $i,SV204: $i,SV213: $i] :
( ( ~ ( requalityOnA @ SV213 @ SV204 )
| ~ ( requalityOnA @ SV217 @ SV204 )
| ( SV213 = SV217 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(987,plain,
! [SV214: $i,SV205: $i] :
( ( ( ~ ( requalityOnA @ SV205 @ SV214 ) )
= $true )
| ( ( cA @ SV214 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(988,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(989,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[974]) ).
thf(990,plain,
( ( ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(991,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(992,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(993,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(994,plain,
! [SV206: $i,SV197: $i] :
( ( ( SV197 != SV206 )
= $true )
| ( ( ~ ( cA @ SV197 ) )
= $true )
| ( ( cA @ SV206 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(995,plain,
! [SV207: $i,SV198: $i] :
( ( ( SV198 != SV207 )
= $true )
| ( ( ~ ( cowlNothing @ SV198 ) )
= $true )
| ( ( cowlNothing @ SV207 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(996,plain,
! [SV208: $i,SV199: $i] :
( ( ( SV199 != SV208 )
= $true )
| ( ( ~ ( cowlThing @ SV199 ) )
= $true )
| ( ( cowlThing @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(997,plain,
! [SV215: $i,SV209: $i,SV200: $i] :
( ( ( ( SV200 != SV209 )
| ~ ( requalityOnA @ SV200 @ SV215 ) )
= $true )
| ( ( requalityOnA @ SV209 @ SV215 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(998,plain,
! [SV216: $i,SV210: $i,SV201: $i] :
( ( ( ( SV201 != SV210 )
| ~ ( requalityOnA @ SV216 @ SV201 ) )
= $true )
| ( ( requalityOnA @ SV216 @ SV210 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(999,plain,
! [SV211: $i,SV202: $i] :
( ( ( SV202 != SV211 )
= $true )
| ( ( ~ ( xsd_integer @ SV202 ) )
= $true )
| ( ( xsd_integer @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[984]) ).
thf(1000,plain,
! [SV212: $i,SV203: $i] :
( ( ( SV203 != SV212 )
= $true )
| ( ( ~ ( xsd_string @ SV203 ) )
= $true )
| ( ( xsd_string @ SV212 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[985]) ).
thf(1001,plain,
! [SV217: $i,SV204: $i,SV213: $i] :
( ( ( ~ ( requalityOnA @ SV213 @ SV204 )
| ~ ( requalityOnA @ SV217 @ SV204 ) )
= $true )
| ( ( SV213 = SV217 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[986]) ).
thf(1002,plain,
! [SV214: $i,SV205: $i] :
( ( ( requalityOnA @ SV205 @ SV214 )
= $false )
| ( ( cA @ SV214 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1003,plain,
! [SV218: $i] :
( ( cowlThing @ SV218 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1004,plain,
! [SV219: $i] :
( ( ~ ( cowlNothing @ SV219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[989]) ).
thf(1005,plain,
! [SV220: $i] :
( ( ~ ( cA @ SV220 )
| ( SV220 = ib )
| ( SV220 = ia ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[990]) ).
thf(1006,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1007,plain,
! [SV221: $i] :
( ( ~ ( xsd_string @ SV221 )
| ~ ( xsd_integer @ SV221 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1008,plain,
! [SV222: $i] :
( ( ( xsd_integer @ SV222 )
| ( xsd_string @ SV222 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1009,plain,
! [SV206: $i,SV197: $i] :
( ( ( SV197 = SV206 )
= $false )
| ( ( ~ ( cA @ SV197 ) )
= $true )
| ( ( cA @ SV206 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1010,plain,
! [SV207: $i,SV198: $i] :
( ( ( SV198 = SV207 )
= $false )
| ( ( ~ ( cowlNothing @ SV198 ) )
= $true )
| ( ( cowlNothing @ SV207 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1011,plain,
! [SV208: $i,SV199: $i] :
( ( ( SV199 = SV208 )
= $false )
| ( ( ~ ( cowlThing @ SV199 ) )
= $true )
| ( ( cowlThing @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1012,plain,
! [SV215: $i,SV209: $i,SV200: $i] :
( ( ( SV200 != SV209 )
= $true )
| ( ( ~ ( requalityOnA @ SV200 @ SV215 ) )
= $true )
| ( ( requalityOnA @ SV209 @ SV215 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[997]) ).
thf(1013,plain,
! [SV216: $i,SV210: $i,SV201: $i] :
( ( ( SV201 != SV210 )
= $true )
| ( ( ~ ( requalityOnA @ SV216 @ SV201 ) )
= $true )
| ( ( requalityOnA @ SV216 @ SV210 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1014,plain,
! [SV211: $i,SV202: $i] :
( ( ( SV202 = SV211 )
= $false )
| ( ( ~ ( xsd_integer @ SV202 ) )
= $true )
| ( ( xsd_integer @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1015,plain,
! [SV212: $i,SV203: $i] :
( ( ( SV203 = SV212 )
= $false )
| ( ( ~ ( xsd_string @ SV203 ) )
= $true )
| ( ( xsd_string @ SV212 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1016,plain,
! [SV217: $i,SV204: $i,SV213: $i] :
( ( ( ~ ( requalityOnA @ SV213 @ SV204 ) )
= $true )
| ( ( ~ ( requalityOnA @ SV217 @ SV204 ) )
= $true )
| ( ( SV213 = SV217 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1017,plain,
! [SV219: $i] :
( ( cowlNothing @ SV219 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1018,plain,
! [SV220: $i] :
( ( ( ~ ( cA @ SV220 ) )
= $true )
| ( ( ( SV220 = ib )
| ( SV220 = ia ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1005]) ).
thf(1019,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1020,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1021,plain,
! [SV221: $i] :
( ( ( ~ ( xsd_string @ SV221 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV221 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1022,plain,
! [SV222: $i] :
( ( ( xsd_integer @ SV222 )
= $true )
| ( ( xsd_string @ SV222 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1023,plain,
! [SV206: $i,SV197: $i] :
( ( ( cA @ SV197 )
= $false )
| ( ( SV197 = SV206 )
= $false )
| ( ( cA @ SV206 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1024,plain,
! [SV207: $i,SV198: $i] :
( ( ( cowlNothing @ SV198 )
= $false )
| ( ( SV198 = SV207 )
= $false )
| ( ( cowlNothing @ SV207 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1025,plain,
! [SV208: $i,SV199: $i] :
( ( ( cowlThing @ SV199 )
= $false )
| ( ( SV199 = SV208 )
= $false )
| ( ( cowlThing @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1026,plain,
! [SV215: $i,SV209: $i,SV200: $i] :
( ( ( SV200 = SV209 )
= $false )
| ( ( ~ ( requalityOnA @ SV200 @ SV215 ) )
= $true )
| ( ( requalityOnA @ SV209 @ SV215 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1027,plain,
! [SV216: $i,SV210: $i,SV201: $i] :
( ( ( SV201 = SV210 )
= $false )
| ( ( ~ ( requalityOnA @ SV216 @ SV201 ) )
= $true )
| ( ( requalityOnA @ SV216 @ SV210 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1028,plain,
! [SV211: $i,SV202: $i] :
( ( ( xsd_integer @ SV202 )
= $false )
| ( ( SV202 = SV211 )
= $false )
| ( ( xsd_integer @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1014]) ).
thf(1029,plain,
! [SV212: $i,SV203: $i] :
( ( ( xsd_string @ SV203 )
= $false )
| ( ( SV203 = SV212 )
= $false )
| ( ( xsd_string @ SV212 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1030,plain,
! [SV217: $i,SV204: $i,SV213: $i] :
( ( ( requalityOnA @ SV213 @ SV204 )
= $false )
| ( ( ~ ( requalityOnA @ SV217 @ SV204 ) )
= $true )
| ( ( SV213 = SV217 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1031,plain,
! [SV220: $i] :
( ( ( cA @ SV220 )
= $false )
| ( ( ( SV220 = ib )
| ( SV220 = ia ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1032,plain,
( ( ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1033,plain,
( ( ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1020]) ).
thf(1034,plain,
! [SV221: $i] :
( ( ( xsd_string @ SV221 )
= $false )
| ( ( ~ ( xsd_integer @ SV221 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1035,plain,
! [SV209: $i,SV215: $i,SV200: $i] :
( ( ( requalityOnA @ SV200 @ SV215 )
= $false )
| ( ( SV200 = SV209 )
= $false )
| ( ( requalityOnA @ SV209 @ SV215 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1036,plain,
! [SV210: $i,SV201: $i,SV216: $i] :
( ( ( requalityOnA @ SV216 @ SV201 )
= $false )
| ( ( SV201 = SV210 )
= $false )
| ( ( requalityOnA @ SV216 @ SV210 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1037,plain,
! [SV213: $i,SV204: $i,SV217: $i] :
( ( ( requalityOnA @ SV217 @ SV204 )
= $false )
| ( ( requalityOnA @ SV213 @ SV204 )
= $false )
| ( ( SV213 = SV217 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1038,plain,
! [SV220: $i] :
( ( ( SV220 = ib )
= $true )
| ( ( SV220 = ia )
= $true )
| ( ( cA @ SV220 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1039,plain,
! [SV223: $i] :
( ( ( SV223 != ib )
| ( cA @ SV223 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1032]) ).
thf(1040,plain,
! [SV224: $i] :
( ( ( SV224 != ia )
| ( cA @ SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1041,plain,
! [SV221: $i] :
( ( ( xsd_integer @ SV221 )
= $false )
| ( ( xsd_string @ SV221 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1042,plain,
! [SV223: $i] :
( ( ( SV223 != ib )
= $true )
| ( ( cA @ SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1043,plain,
! [SV224: $i] :
( ( ( SV224 != ia )
= $true )
| ( ( cA @ SV224 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1040]) ).
thf(1044,plain,
! [SV223: $i] :
( ( ( SV223 = ib )
= $false )
| ( ( cA @ SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1045,plain,
! [SV224: $i] :
( ( ( SV224 = ia )
= $false )
| ( ( cA @ SV224 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1046,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[942,1045,1044,1041,1038,1037,1036,1035,1029,1028,1025,1024,1023,1022,1017,1003,1002,960,946,945,944,943]) ).
thf(1047,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(1048,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(1049,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(1050,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(1051,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(1052,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(1053,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(1054,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(1055,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(1056,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(1057,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(1058,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(1059,plain,
( ( cowlThing @ ia )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(1060,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(1061,plain,
( ( cowlThing @ ib )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(1062,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(1063,plain,
( ( cowlThing @ ic )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(1064,plain,
( ( ~ ( cowlThing @ ib ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(1065,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1054]) ).
thf(1066,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1055]) ).
thf(1067,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1056]) ).
thf(1068,plain,
! [SV225: $i] :
( ( ! [SY152: $i] :
( ( SV225 != SY152 )
| ~ ( cA @ SV225 )
| ( cA @ SY152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1047]) ).
thf(1069,plain,
! [SV226: $i] :
( ( ! [SY153: $i] :
( ( SV226 != SY153 )
| ~ ( cowlNothing @ SV226 )
| ( cowlNothing @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1070,plain,
! [SV227: $i] :
( ( ! [SY154: $i] :
( ( SV227 != SY154 )
| ~ ( cowlThing @ SV227 )
| ( cowlThing @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1071,plain,
! [SV228: $i] :
( ( ! [SY155: $i,SY156: $i] :
( ( SV228 != SY155 )
| ~ ( requalityOnA @ SV228 @ SY156 )
| ( requalityOnA @ SY155 @ SY156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1050]) ).
thf(1072,plain,
! [SV229: $i] :
( ( ! [SY157: $i,SY158: $i] :
( ( SV229 != SY157 )
| ~ ( requalityOnA @ SY158 @ SV229 )
| ( requalityOnA @ SY158 @ SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1051]) ).
thf(1073,plain,
! [SV230: $i] :
( ( ! [SY159: $i] :
( ( SV230 != SY159 )
| ~ ( xsd_integer @ SV230 )
| ( xsd_integer @ SY159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1052]) ).
thf(1074,plain,
! [SV231: $i] :
( ( ! [SY160: $i] :
( ( SV231 != SY160 )
| ~ ( xsd_string @ SV231 )
| ( xsd_string @ SY160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1053]) ).
thf(1075,plain,
! [SV232: $i] :
( ( ! [SY161: $i,SY162: $i] :
( ~ ( requalityOnA @ SY161 @ SV232 )
| ~ ( requalityOnA @ SY162 @ SV232 )
| ( SY161 = SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1057]) ).
thf(1076,plain,
! [SV233: $i] :
( ( ! [SY163: $i] :
( ~ ( requalityOnA @ SV233 @ SY163 )
| ( cA @ SY163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1058]) ).
thf(1077,plain,
( ( cowlThing @ ib )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1078,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1079,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1080,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1081,plain,
! [SV234: $i,SV225: $i] :
( ( ( SV225 != SV234 )
| ~ ( cA @ SV225 )
| ( cA @ SV234 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1082,plain,
! [SV235: $i,SV226: $i] :
( ( ( SV226 != SV235 )
| ~ ( cowlNothing @ SV226 )
| ( cowlNothing @ SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1083,plain,
! [SV236: $i,SV227: $i] :
( ( ( SV227 != SV236 )
| ~ ( cowlThing @ SV227 )
| ( cowlThing @ SV236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1070]) ).
thf(1084,plain,
! [SV237: $i,SV228: $i] :
( ( ! [SY164: $i] :
( ( SV228 != SV237 )
| ~ ( requalityOnA @ SV228 @ SY164 )
| ( requalityOnA @ SV237 @ SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1071]) ).
thf(1085,plain,
! [SV238: $i,SV229: $i] :
( ( ! [SY165: $i] :
( ( SV229 != SV238 )
| ~ ( requalityOnA @ SY165 @ SV229 )
| ( requalityOnA @ SY165 @ SV238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1086,plain,
! [SV239: $i,SV230: $i] :
( ( ( SV230 != SV239 )
| ~ ( xsd_integer @ SV230 )
| ( xsd_integer @ SV239 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1073]) ).
thf(1087,plain,
! [SV240: $i,SV231: $i] :
( ( ( SV231 != SV240 )
| ~ ( xsd_string @ SV231 )
| ( xsd_string @ SV240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1088,plain,
! [SV232: $i,SV241: $i] :
( ( ! [SY166: $i] :
( ~ ( requalityOnA @ SV241 @ SV232 )
| ~ ( requalityOnA @ SY166 @ SV232 )
| ( SV241 = SY166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1089,plain,
! [SV242: $i,SV233: $i] :
( ( ~ ( requalityOnA @ SV233 @ SV242 )
| ( cA @ SV242 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1076]) ).
thf(1090,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1091,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1092,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1093,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1094,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1095,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1096,plain,
! [SV234: $i,SV225: $i] :
( ( ( ( SV225 != SV234 )
| ~ ( cA @ SV225 ) )
= $true )
| ( ( cA @ SV234 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1097,plain,
! [SV235: $i,SV226: $i] :
( ( ( ( SV226 != SV235 )
| ~ ( cowlNothing @ SV226 ) )
= $true )
| ( ( cowlNothing @ SV235 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1098,plain,
! [SV236: $i,SV227: $i] :
( ( ( ( SV227 != SV236 )
| ~ ( cowlThing @ SV227 ) )
= $true )
| ( ( cowlThing @ SV236 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1099,plain,
! [SV243: $i,SV237: $i,SV228: $i] :
( ( ( SV228 != SV237 )
| ~ ( requalityOnA @ SV228 @ SV243 )
| ( requalityOnA @ SV237 @ SV243 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1084]) ).
thf(1100,plain,
! [SV244: $i,SV238: $i,SV229: $i] :
( ( ( SV229 != SV238 )
| ~ ( requalityOnA @ SV244 @ SV229 )
| ( requalityOnA @ SV244 @ SV238 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1085]) ).
thf(1101,plain,
! [SV239: $i,SV230: $i] :
( ( ( ( SV230 != SV239 )
| ~ ( xsd_integer @ SV230 ) )
= $true )
| ( ( xsd_integer @ SV239 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1102,plain,
! [SV240: $i,SV231: $i] :
( ( ( ( SV231 != SV240 )
| ~ ( xsd_string @ SV231 ) )
= $true )
| ( ( xsd_string @ SV240 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1087]) ).
thf(1103,plain,
! [SV245: $i,SV232: $i,SV241: $i] :
( ( ~ ( requalityOnA @ SV241 @ SV232 )
| ~ ( requalityOnA @ SV245 @ SV232 )
| ( SV241 = SV245 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1104,plain,
! [SV242: $i,SV233: $i] :
( ( ( ~ ( requalityOnA @ SV233 @ SV242 ) )
= $true )
| ( ( cA @ SV242 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1089]) ).
thf(1105,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1090]) ).
thf(1106,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1091]) ).
thf(1107,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1108,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1109,plain,
( ( ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1094]) ).
thf(1110,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1095]) ).
thf(1111,plain,
! [SV234: $i,SV225: $i] :
( ( ( SV225 != SV234 )
= $true )
| ( ( ~ ( cA @ SV225 ) )
= $true )
| ( ( cA @ SV234 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1112,plain,
! [SV235: $i,SV226: $i] :
( ( ( SV226 != SV235 )
= $true )
| ( ( ~ ( cowlNothing @ SV226 ) )
= $true )
| ( ( cowlNothing @ SV235 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1097]) ).
thf(1113,plain,
! [SV236: $i,SV227: $i] :
( ( ( SV227 != SV236 )
= $true )
| ( ( ~ ( cowlThing @ SV227 ) )
= $true )
| ( ( cowlThing @ SV236 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1098]) ).
thf(1114,plain,
! [SV243: $i,SV237: $i,SV228: $i] :
( ( ( ( SV228 != SV237 )
| ~ ( requalityOnA @ SV228 @ SV243 ) )
= $true )
| ( ( requalityOnA @ SV237 @ SV243 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1115,plain,
! [SV244: $i,SV238: $i,SV229: $i] :
( ( ( ( SV229 != SV238 )
| ~ ( requalityOnA @ SV244 @ SV229 ) )
= $true )
| ( ( requalityOnA @ SV244 @ SV238 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1116,plain,
! [SV239: $i,SV230: $i] :
( ( ( SV230 != SV239 )
= $true )
| ( ( ~ ( xsd_integer @ SV230 ) )
= $true )
| ( ( xsd_integer @ SV239 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1101]) ).
thf(1117,plain,
! [SV240: $i,SV231: $i] :
( ( ( SV231 != SV240 )
= $true )
| ( ( ~ ( xsd_string @ SV231 ) )
= $true )
| ( ( xsd_string @ SV240 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1102]) ).
thf(1118,plain,
! [SV245: $i,SV232: $i,SV241: $i] :
( ( ( ~ ( requalityOnA @ SV241 @ SV232 )
| ~ ( requalityOnA @ SV245 @ SV232 ) )
= $true )
| ( ( SV241 = SV245 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1103]) ).
thf(1119,plain,
! [SV242: $i,SV233: $i] :
( ( ( requalityOnA @ SV233 @ SV242 )
= $false )
| ( ( cA @ SV242 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1120,plain,
! [SV246: $i] :
( ( cowlThing @ SV246 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1121,plain,
! [SV247: $i] :
( ( ~ ( cowlNothing @ SV247 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1122,plain,
! [SV248: $i] :
( ( ~ ( xsd_string @ SV248 )
| ~ ( xsd_integer @ SV248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1107]) ).
thf(1123,plain,
! [SV249: $i] :
( ( ( xsd_integer @ SV249 )
| ( xsd_string @ SV249 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1124,plain,
! [SV250: $i] :
( ( ~ ( cA @ SV250 )
| ( SV250 = ib )
| ( SV250 = ia ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1125,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1126,plain,
! [SV234: $i,SV225: $i] :
( ( ( SV225 = SV234 )
= $false )
| ( ( ~ ( cA @ SV225 ) )
= $true )
| ( ( cA @ SV234 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1127,plain,
! [SV235: $i,SV226: $i] :
( ( ( SV226 = SV235 )
= $false )
| ( ( ~ ( cowlNothing @ SV226 ) )
= $true )
| ( ( cowlNothing @ SV235 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1128,plain,
! [SV236: $i,SV227: $i] :
( ( ( SV227 = SV236 )
= $false )
| ( ( ~ ( cowlThing @ SV227 ) )
= $true )
| ( ( cowlThing @ SV236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1129,plain,
! [SV243: $i,SV237: $i,SV228: $i] :
( ( ( SV228 != SV237 )
= $true )
| ( ( ~ ( requalityOnA @ SV228 @ SV243 ) )
= $true )
| ( ( requalityOnA @ SV237 @ SV243 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1114]) ).
thf(1130,plain,
! [SV244: $i,SV238: $i,SV229: $i] :
( ( ( SV229 != SV238 )
= $true )
| ( ( ~ ( requalityOnA @ SV244 @ SV229 ) )
= $true )
| ( ( requalityOnA @ SV244 @ SV238 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1115]) ).
thf(1131,plain,
! [SV239: $i,SV230: $i] :
( ( ( SV230 = SV239 )
= $false )
| ( ( ~ ( xsd_integer @ SV230 ) )
= $true )
| ( ( xsd_integer @ SV239 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1132,plain,
! [SV240: $i,SV231: $i] :
( ( ( SV231 = SV240 )
= $false )
| ( ( ~ ( xsd_string @ SV231 ) )
= $true )
| ( ( xsd_string @ SV240 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1133,plain,
! [SV245: $i,SV232: $i,SV241: $i] :
( ( ( ~ ( requalityOnA @ SV241 @ SV232 ) )
= $true )
| ( ( ~ ( requalityOnA @ SV245 @ SV232 ) )
= $true )
| ( ( SV241 = SV245 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1118]) ).
thf(1134,plain,
! [SV247: $i] :
( ( cowlNothing @ SV247 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1135,plain,
! [SV248: $i] :
( ( ( ~ ( xsd_string @ SV248 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV248 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1136,plain,
! [SV249: $i] :
( ( ( xsd_integer @ SV249 )
= $true )
| ( ( xsd_string @ SV249 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1137,plain,
! [SV250: $i] :
( ( ( ~ ( cA @ SV250 ) )
= $true )
| ( ( ( SV250 = ib )
| ( SV250 = ia ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1138,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1139,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1140,plain,
! [SV234: $i,SV225: $i] :
( ( ( cA @ SV225 )
= $false )
| ( ( SV225 = SV234 )
= $false )
| ( ( cA @ SV234 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1141,plain,
! [SV235: $i,SV226: $i] :
( ( ( cowlNothing @ SV226 )
= $false )
| ( ( SV226 = SV235 )
= $false )
| ( ( cowlNothing @ SV235 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1142,plain,
! [SV236: $i,SV227: $i] :
( ( ( cowlThing @ SV227 )
= $false )
| ( ( SV227 = SV236 )
= $false )
| ( ( cowlThing @ SV236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1143,plain,
! [SV243: $i,SV237: $i,SV228: $i] :
( ( ( SV228 = SV237 )
= $false )
| ( ( ~ ( requalityOnA @ SV228 @ SV243 ) )
= $true )
| ( ( requalityOnA @ SV237 @ SV243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1144,plain,
! [SV244: $i,SV238: $i,SV229: $i] :
( ( ( SV229 = SV238 )
= $false )
| ( ( ~ ( requalityOnA @ SV244 @ SV229 ) )
= $true )
| ( ( requalityOnA @ SV244 @ SV238 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1145,plain,
! [SV239: $i,SV230: $i] :
( ( ( xsd_integer @ SV230 )
= $false )
| ( ( SV230 = SV239 )
= $false )
| ( ( xsd_integer @ SV239 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1146,plain,
! [SV240: $i,SV231: $i] :
( ( ( xsd_string @ SV231 )
= $false )
| ( ( SV231 = SV240 )
= $false )
| ( ( xsd_string @ SV240 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1147,plain,
! [SV245: $i,SV232: $i,SV241: $i] :
( ( ( requalityOnA @ SV241 @ SV232 )
= $false )
| ( ( ~ ( requalityOnA @ SV245 @ SV232 ) )
= $true )
| ( ( SV241 = SV245 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1148,plain,
! [SV248: $i] :
( ( ( xsd_string @ SV248 )
= $false )
| ( ( ~ ( xsd_integer @ SV248 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1149,plain,
! [SV250: $i] :
( ( ( cA @ SV250 )
= $false )
| ( ( ( SV250 = ib )
| ( SV250 = ia ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1150,plain,
( ( ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1151,plain,
( ( ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1152,plain,
! [SV237: $i,SV243: $i,SV228: $i] :
( ( ( requalityOnA @ SV228 @ SV243 )
= $false )
| ( ( SV228 = SV237 )
= $false )
| ( ( requalityOnA @ SV237 @ SV243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1153,plain,
! [SV238: $i,SV229: $i,SV244: $i] :
( ( ( requalityOnA @ SV244 @ SV229 )
= $false )
| ( ( SV229 = SV238 )
= $false )
| ( ( requalityOnA @ SV244 @ SV238 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1154,plain,
! [SV241: $i,SV232: $i,SV245: $i] :
( ( ( requalityOnA @ SV245 @ SV232 )
= $false )
| ( ( requalityOnA @ SV241 @ SV232 )
= $false )
| ( ( SV241 = SV245 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1155,plain,
! [SV248: $i] :
( ( ( xsd_integer @ SV248 )
= $false )
| ( ( xsd_string @ SV248 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1156,plain,
! [SV250: $i] :
( ( ( SV250 = ib )
= $true )
| ( ( SV250 = ia )
= $true )
| ( ( cA @ SV250 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1149]) ).
thf(1157,plain,
! [SV251: $i] :
( ( ( SV251 != ib )
| ( cA @ SV251 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1158,plain,
! [SV252: $i] :
( ( ( SV252 != ia )
| ( cA @ SV252 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1159,plain,
! [SV251: $i] :
( ( ( SV251 != ib )
= $true )
| ( ( cA @ SV251 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1160,plain,
! [SV252: $i] :
( ( ( SV252 != ia )
= $true )
| ( ( cA @ SV252 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1161,plain,
! [SV251: $i] :
( ( ( SV251 = ib )
= $false )
| ( ( cA @ SV251 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1162,plain,
! [SV252: $i] :
( ( ( SV252 = ia )
= $false )
| ( ( cA @ SV252 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1163,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1059,1162,1161,1156,1155,1154,1153,1152,1146,1145,1142,1141,1140,1136,1134,1120,1119,1077,1063,1062,1061,1060]) ).
thf(1164,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(1165,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(1166,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(1167,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ A @ C )
| ( requalityOnA @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(1168,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( requalityOnA @ C @ A )
| ( requalityOnA @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(1169,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(1170,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(1171,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(1172,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(1173,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ( X = ib )
| ( X = ia ) )
& ! [X: $i] :
( ( X != ib )
| ( cA @ X ) )
& ! [X: $i] :
( ( X != ia )
| ( cA @ X ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(1174,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( requalityOnA @ Y @ X )
| ~ ( requalityOnA @ Z @ X )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(1175,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( requalityOnA @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(1176,plain,
( ( cowlThing @ ia )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(1177,plain,
( ( requalityOnA @ ia @ ia )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(1178,plain,
( ( cowlThing @ ib )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(1179,plain,
( ( requalityOnA @ ib @ ib )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(1180,plain,
( ( cowlThing @ ic )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(1181,plain,
( ( ~ ( cowlThing @ ic ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(1182,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1171]) ).
thf(1183,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1172]) ).
thf(1184,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1173]) ).
thf(1185,plain,
! [SV253: $i] :
( ( ! [SY167: $i] :
( ( SV253 != SY167 )
| ~ ( cA @ SV253 )
| ( cA @ SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1186,plain,
! [SV254: $i] :
( ( ! [SY168: $i] :
( ( SV254 != SY168 )
| ~ ( cowlNothing @ SV254 )
| ( cowlNothing @ SY168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1165]) ).
thf(1187,plain,
! [SV255: $i] :
( ( ! [SY169: $i] :
( ( SV255 != SY169 )
| ~ ( cowlThing @ SV255 )
| ( cowlThing @ SY169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1166]) ).
thf(1188,plain,
! [SV256: $i] :
( ( ! [SY170: $i,SY171: $i] :
( ( SV256 != SY170 )
| ~ ( requalityOnA @ SV256 @ SY171 )
| ( requalityOnA @ SY170 @ SY171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1189,plain,
! [SV257: $i] :
( ( ! [SY172: $i,SY173: $i] :
( ( SV257 != SY172 )
| ~ ( requalityOnA @ SY173 @ SV257 )
| ( requalityOnA @ SY173 @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1190,plain,
! [SV258: $i] :
( ( ! [SY174: $i] :
( ( SV258 != SY174 )
| ~ ( xsd_integer @ SV258 )
| ( xsd_integer @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1191,plain,
! [SV259: $i] :
( ( ! [SY175: $i] :
( ( SV259 != SY175 )
| ~ ( xsd_string @ SV259 )
| ( xsd_string @ SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1192,plain,
! [SV260: $i] :
( ( ! [SY176: $i,SY177: $i] :
( ~ ( requalityOnA @ SY176 @ SV260 )
| ~ ( requalityOnA @ SY177 @ SV260 )
| ( SY176 = SY177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1193,plain,
! [SV261: $i] :
( ( ! [SY178: $i] :
( ~ ( requalityOnA @ SV261 @ SY178 )
| ( cA @ SY178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1194,plain,
( ( cowlThing @ ic )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1195,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1196,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1197,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1198,plain,
! [SV262: $i,SV253: $i] :
( ( ( SV253 != SV262 )
| ~ ( cA @ SV253 )
| ( cA @ SV262 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1185]) ).
thf(1199,plain,
! [SV263: $i,SV254: $i] :
( ( ( SV254 != SV263 )
| ~ ( cowlNothing @ SV254 )
| ( cowlNothing @ SV263 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1186]) ).
thf(1200,plain,
! [SV264: $i,SV255: $i] :
( ( ( SV255 != SV264 )
| ~ ( cowlThing @ SV255 )
| ( cowlThing @ SV264 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1201,plain,
! [SV265: $i,SV256: $i] :
( ( ! [SY179: $i] :
( ( SV256 != SV265 )
| ~ ( requalityOnA @ SV256 @ SY179 )
| ( requalityOnA @ SV265 @ SY179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1188]) ).
thf(1202,plain,
! [SV266: $i,SV257: $i] :
( ( ! [SY180: $i] :
( ( SV257 != SV266 )
| ~ ( requalityOnA @ SY180 @ SV257 )
| ( requalityOnA @ SY180 @ SV266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1189]) ).
thf(1203,plain,
! [SV267: $i,SV258: $i] :
( ( ( SV258 != SV267 )
| ~ ( xsd_integer @ SV258 )
| ( xsd_integer @ SV267 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1204,plain,
! [SV268: $i,SV259: $i] :
( ( ( SV259 != SV268 )
| ~ ( xsd_string @ SV259 )
| ( xsd_string @ SV268 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1191]) ).
thf(1205,plain,
! [SV260: $i,SV269: $i] :
( ( ! [SY181: $i] :
( ~ ( requalityOnA @ SV269 @ SV260 )
| ~ ( requalityOnA @ SY181 @ SV260 )
| ( SV269 = SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1192]) ).
thf(1206,plain,
! [SV270: $i,SV261: $i] :
( ( ~ ( requalityOnA @ SV261 @ SV270 )
| ( cA @ SV270 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1207,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1195]) ).
thf(1208,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1195]) ).
thf(1209,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1210,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1196]) ).
thf(1211,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1212,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1213,plain,
! [SV262: $i,SV253: $i] :
( ( ( ( SV253 != SV262 )
| ~ ( cA @ SV253 ) )
= $true )
| ( ( cA @ SV262 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1198]) ).
thf(1214,plain,
! [SV263: $i,SV254: $i] :
( ( ( ( SV254 != SV263 )
| ~ ( cowlNothing @ SV254 ) )
= $true )
| ( ( cowlNothing @ SV263 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1199]) ).
thf(1215,plain,
! [SV264: $i,SV255: $i] :
( ( ( ( SV255 != SV264 )
| ~ ( cowlThing @ SV255 ) )
= $true )
| ( ( cowlThing @ SV264 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1216,plain,
! [SV271: $i,SV265: $i,SV256: $i] :
( ( ( SV256 != SV265 )
| ~ ( requalityOnA @ SV256 @ SV271 )
| ( requalityOnA @ SV265 @ SV271 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1217,plain,
! [SV272: $i,SV266: $i,SV257: $i] :
( ( ( SV257 != SV266 )
| ~ ( requalityOnA @ SV272 @ SV257 )
| ( requalityOnA @ SV272 @ SV266 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1218,plain,
! [SV267: $i,SV258: $i] :
( ( ( ( SV258 != SV267 )
| ~ ( xsd_integer @ SV258 ) )
= $true )
| ( ( xsd_integer @ SV267 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1203]) ).
thf(1219,plain,
! [SV268: $i,SV259: $i] :
( ( ( ( SV259 != SV268 )
| ~ ( xsd_string @ SV259 ) )
= $true )
| ( ( xsd_string @ SV268 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1204]) ).
thf(1220,plain,
! [SV273: $i,SV260: $i,SV269: $i] :
( ( ~ ( requalityOnA @ SV269 @ SV260 )
| ~ ( requalityOnA @ SV273 @ SV260 )
| ( SV269 = SV273 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1205]) ).
thf(1221,plain,
! [SV270: $i,SV261: $i] :
( ( ( ~ ( requalityOnA @ SV261 @ SV270 ) )
= $true )
| ( ( cA @ SV270 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1222,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1223,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1208]) ).
thf(1224,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1225,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1226,plain,
( ( ! [SX0: $i] :
( ~ ( cA @ SX0 )
| ( SX0 = ib )
| ( SX0 = ia ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1227,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1212]) ).
thf(1228,plain,
! [SV262: $i,SV253: $i] :
( ( ( SV253 != SV262 )
= $true )
| ( ( ~ ( cA @ SV253 ) )
= $true )
| ( ( cA @ SV262 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1213]) ).
thf(1229,plain,
! [SV263: $i,SV254: $i] :
( ( ( SV254 != SV263 )
= $true )
| ( ( ~ ( cowlNothing @ SV254 ) )
= $true )
| ( ( cowlNothing @ SV263 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1214]) ).
thf(1230,plain,
! [SV264: $i,SV255: $i] :
( ( ( SV255 != SV264 )
= $true )
| ( ( ~ ( cowlThing @ SV255 ) )
= $true )
| ( ( cowlThing @ SV264 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1231,plain,
! [SV271: $i,SV265: $i,SV256: $i] :
( ( ( ( SV256 != SV265 )
| ~ ( requalityOnA @ SV256 @ SV271 ) )
= $true )
| ( ( requalityOnA @ SV265 @ SV271 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1216]) ).
thf(1232,plain,
! [SV272: $i,SV266: $i,SV257: $i] :
( ( ( ( SV257 != SV266 )
| ~ ( requalityOnA @ SV272 @ SV257 ) )
= $true )
| ( ( requalityOnA @ SV272 @ SV266 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1217]) ).
thf(1233,plain,
! [SV267: $i,SV258: $i] :
( ( ( SV258 != SV267 )
= $true )
| ( ( ~ ( xsd_integer @ SV258 ) )
= $true )
| ( ( xsd_integer @ SV267 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1218]) ).
thf(1234,plain,
! [SV268: $i,SV259: $i] :
( ( ( SV259 != SV268 )
= $true )
| ( ( ~ ( xsd_string @ SV259 ) )
= $true )
| ( ( xsd_string @ SV268 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1235,plain,
! [SV273: $i,SV260: $i,SV269: $i] :
( ( ( ~ ( requalityOnA @ SV269 @ SV260 )
| ~ ( requalityOnA @ SV273 @ SV260 ) )
= $true )
| ( ( SV269 = SV273 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1236,plain,
! [SV270: $i,SV261: $i] :
( ( ( requalityOnA @ SV261 @ SV270 )
= $false )
| ( ( cA @ SV270 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1237,plain,
! [SV274: $i] :
( ( cowlThing @ SV274 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1238,plain,
! [SV275: $i] :
( ( ~ ( cowlNothing @ SV275 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1239,plain,
! [SV276: $i] :
( ( ~ ( xsd_string @ SV276 )
| ~ ( xsd_integer @ SV276 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1240,plain,
! [SV277: $i] :
( ( ( xsd_integer @ SV277 )
| ( xsd_string @ SV277 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1241,plain,
! [SV278: $i] :
( ( ~ ( cA @ SV278 )
| ( SV278 = ib )
| ( SV278 = ia ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1242,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1227]) ).
thf(1243,plain,
! [SV262: $i,SV253: $i] :
( ( ( SV253 = SV262 )
= $false )
| ( ( ~ ( cA @ SV253 ) )
= $true )
| ( ( cA @ SV262 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1244,plain,
! [SV263: $i,SV254: $i] :
( ( ( SV254 = SV263 )
= $false )
| ( ( ~ ( cowlNothing @ SV254 ) )
= $true )
| ( ( cowlNothing @ SV263 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1245,plain,
! [SV264: $i,SV255: $i] :
( ( ( SV255 = SV264 )
= $false )
| ( ( ~ ( cowlThing @ SV255 ) )
= $true )
| ( ( cowlThing @ SV264 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1246,plain,
! [SV271: $i,SV265: $i,SV256: $i] :
( ( ( SV256 != SV265 )
= $true )
| ( ( ~ ( requalityOnA @ SV256 @ SV271 ) )
= $true )
| ( ( requalityOnA @ SV265 @ SV271 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1247,plain,
! [SV272: $i,SV266: $i,SV257: $i] :
( ( ( SV257 != SV266 )
= $true )
| ( ( ~ ( requalityOnA @ SV272 @ SV257 ) )
= $true )
| ( ( requalityOnA @ SV272 @ SV266 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1232]) ).
thf(1248,plain,
! [SV267: $i,SV258: $i] :
( ( ( SV258 = SV267 )
= $false )
| ( ( ~ ( xsd_integer @ SV258 ) )
= $true )
| ( ( xsd_integer @ SV267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1249,plain,
! [SV268: $i,SV259: $i] :
( ( ( SV259 = SV268 )
= $false )
| ( ( ~ ( xsd_string @ SV259 ) )
= $true )
| ( ( xsd_string @ SV268 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1250,plain,
! [SV273: $i,SV260: $i,SV269: $i] :
( ( ( ~ ( requalityOnA @ SV269 @ SV260 ) )
= $true )
| ( ( ~ ( requalityOnA @ SV273 @ SV260 ) )
= $true )
| ( ( SV269 = SV273 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1235]) ).
thf(1251,plain,
! [SV275: $i] :
( ( cowlNothing @ SV275 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1238]) ).
thf(1252,plain,
! [SV276: $i] :
( ( ( ~ ( xsd_string @ SV276 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV276 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1239]) ).
thf(1253,plain,
! [SV277: $i] :
( ( ( xsd_integer @ SV277 )
= $true )
| ( ( xsd_string @ SV277 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1240]) ).
thf(1254,plain,
! [SV278: $i] :
( ( ( ~ ( cA @ SV278 ) )
= $true )
| ( ( ( SV278 = ib )
| ( SV278 = ia ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1241]) ).
thf(1255,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1256,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1257,plain,
! [SV262: $i,SV253: $i] :
( ( ( cA @ SV253 )
= $false )
| ( ( SV253 = SV262 )
= $false )
| ( ( cA @ SV262 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1243]) ).
thf(1258,plain,
! [SV263: $i,SV254: $i] :
( ( ( cowlNothing @ SV254 )
= $false )
| ( ( SV254 = SV263 )
= $false )
| ( ( cowlNothing @ SV263 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1259,plain,
! [SV264: $i,SV255: $i] :
( ( ( cowlThing @ SV255 )
= $false )
| ( ( SV255 = SV264 )
= $false )
| ( ( cowlThing @ SV264 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1260,plain,
! [SV271: $i,SV265: $i,SV256: $i] :
( ( ( SV256 = SV265 )
= $false )
| ( ( ~ ( requalityOnA @ SV256 @ SV271 ) )
= $true )
| ( ( requalityOnA @ SV265 @ SV271 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1261,plain,
! [SV272: $i,SV266: $i,SV257: $i] :
( ( ( SV257 = SV266 )
= $false )
| ( ( ~ ( requalityOnA @ SV272 @ SV257 ) )
= $true )
| ( ( requalityOnA @ SV272 @ SV266 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1262,plain,
! [SV267: $i,SV258: $i] :
( ( ( xsd_integer @ SV258 )
= $false )
| ( ( SV258 = SV267 )
= $false )
| ( ( xsd_integer @ SV267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1263,plain,
! [SV268: $i,SV259: $i] :
( ( ( xsd_string @ SV259 )
= $false )
| ( ( SV259 = SV268 )
= $false )
| ( ( xsd_string @ SV268 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1264,plain,
! [SV273: $i,SV260: $i,SV269: $i] :
( ( ( requalityOnA @ SV269 @ SV260 )
= $false )
| ( ( ~ ( requalityOnA @ SV273 @ SV260 ) )
= $true )
| ( ( SV269 = SV273 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1265,plain,
! [SV276: $i] :
( ( ( xsd_string @ SV276 )
= $false )
| ( ( ~ ( xsd_integer @ SV276 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1266,plain,
! [SV278: $i] :
( ( ( cA @ SV278 )
= $false )
| ( ( ( SV278 = ib )
| ( SV278 = ia ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1267,plain,
( ( ! [SX0: $i] :
( ( SX0 != ib )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1268,plain,
( ( ! [SX0: $i] :
( ( SX0 != ia )
| ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1256]) ).
thf(1269,plain,
! [SV265: $i,SV271: $i,SV256: $i] :
( ( ( requalityOnA @ SV256 @ SV271 )
= $false )
| ( ( SV256 = SV265 )
= $false )
| ( ( requalityOnA @ SV265 @ SV271 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1270,plain,
! [SV266: $i,SV257: $i,SV272: $i] :
( ( ( requalityOnA @ SV272 @ SV257 )
= $false )
| ( ( SV257 = SV266 )
= $false )
| ( ( requalityOnA @ SV272 @ SV266 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1271,plain,
! [SV269: $i,SV260: $i,SV273: $i] :
( ( ( requalityOnA @ SV273 @ SV260 )
= $false )
| ( ( requalityOnA @ SV269 @ SV260 )
= $false )
| ( ( SV269 = SV273 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1272,plain,
! [SV276: $i] :
( ( ( xsd_integer @ SV276 )
= $false )
| ( ( xsd_string @ SV276 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1265]) ).
thf(1273,plain,
! [SV278: $i] :
( ( ( SV278 = ib )
= $true )
| ( ( SV278 = ia )
= $true )
| ( ( cA @ SV278 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1266]) ).
thf(1274,plain,
! [SV279: $i] :
( ( ( SV279 != ib )
| ( cA @ SV279 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1275,plain,
! [SV280: $i] :
( ( ( SV280 != ia )
| ( cA @ SV280 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1276,plain,
! [SV279: $i] :
( ( ( SV279 != ib )
= $true )
| ( ( cA @ SV279 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1274]) ).
thf(1277,plain,
! [SV280: $i] :
( ( ( SV280 != ia )
= $true )
| ( ( cA @ SV280 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1275]) ).
thf(1278,plain,
! [SV279: $i] :
( ( ( SV279 = ib )
= $false )
| ( ( cA @ SV279 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1276]) ).
thf(1279,plain,
! [SV280: $i] :
( ( ( SV280 = ia )
= $false )
| ( ( cA @ SV280 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1280,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1176,1279,1278,1273,1272,1271,1270,1269,1263,1262,1259,1258,1257,1253,1251,1237,1236,1194,1180,1179,1178,1177]) ).
thf(1281,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1280,192,308,430,554,689,812,929,1046,1163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS138+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 11:41:44 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.08/0.74
% 3.08/0.74 No.of.Axioms: 17
% 3.08/0.74
% 3.08/0.74 Length.of.Defs: 0
% 3.08/0.74
% 3.08/0.74 Contains.Choice.Funs: false
% 3.08/0.74 ......................
% 3.08/0.74
% 3.08/0.74 ********************************
% 3.08/0.74 * All subproblems solved! *
% 3.08/0.74 ********************************
% 3.08/0.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:17,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1280,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 3.08/0.74
% 3.08/0.74 %**** Beginning of derivation protocol ****
% 3.08/0.74 % SZS output start CNFRefutation
% See solution above
% 3.08/0.74
% 3.08/0.74 %**** End of derivation protocol ****
% 3.08/0.74 %**** no. of clauses in derivation: 1281 ****
% 3.08/0.74 %**** clause counter: 1280 ****
% 3.08/0.74
% 3.08/0.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:17,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1280,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------