TSTP Solution File: KRS172+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS172+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 03:15:50 EDT 2022
% Result : Theorem 0.44s 0.68s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 990 ( 584 unt; 16 typ; 0 def)
% Number of atoms : 5567 (2055 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 5859 (1415 ~;1430 |; 69 &;2899 @)
% ( 12 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 11 con; 0-2 aty)
% Number of variables : 1910 ( 0 ^1910 !; 0 ?;1910 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cd,type,
cd: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_iv,type,
iv: $i ).
thf(tp_rp,type,
rp: $i > $i > $o ).
thf(tp_rq,type,
rq: $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_SY40,type,
sK6_SY40: $i ).
thf(tp_sK7_X,type,
sK7_X: $i ).
thf(tp_sK8_SY41,type,
sK8_SY41: $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
cowlThing @ iv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( rq @ X @ Y )
=> ( cd @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rq @ X @ Y )
& ( rq @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( rp @ X @ Y )
=> ( cd @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(5,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rp @ X @ Y )
& ( rp @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(6,axiom,
! [X: $i] :
( ( cd @ X )
<=> ( rp @ X @ iv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(7,axiom,
! [X: $i] :
( ( cd @ X )
<=> ( rq @ X @ iv ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(8,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(9,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(10,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(11,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(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rq @ C @ A ) )
=> ( rq @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rq_substitution_2) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rq @ A @ C ) )
=> ( rq @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rq_substitution_1) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rp @ C @ A ) )
=> ( rp @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_2) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rp @ A @ C ) )
=> ( rp @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_1) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cd @ A ) )
=> ( cd @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cd_substitution_1) ).
thf(19,conjecture,
( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i,Y: $i] :
( ( rq @ X @ Y )
<=> ( rp @ X @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(20,negated_conjecture,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i,Y: $i] :
( ( rq @ X @ Y )
<=> ( rp @ X @ Y ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i,Y: $i] :
( ( rq @ X @ Y )
<=> ( rp @ X @ Y ) ) )
= $false ),
inference(unfold_def,[status(thm)],[20]) ).
thf(22,plain,
( ( cowlThing @ iv )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i] :
( ( rq @ X @ Y )
=> ( cd @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rq @ X @ Y )
& ( rq @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i] :
( ( rp @ X @ Y )
=> ( cd @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rp @ X @ Y )
& ( rp @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(27,plain,
( ( ! [X: $i] :
( ( cd @ X )
<=> ( rp @ X @ iv ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(28,plain,
( ( ! [X: $i] :
( ( cd @ X )
<=> ( rq @ X @ iv ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(29,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(30,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(31,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(32,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(33,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rq @ C @ A ) )
=> ( rq @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(34,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rq @ A @ C ) )
=> ( rq @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(35,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rp @ C @ A ) )
=> ( rp @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(36,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rp @ A @ C ) )
=> ( rp @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(38,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(39,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cd @ A ) )
=> ( cd @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(40,plain,
( ( ! [X: $i] : ( cowlThing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[21]) ).
thf(41,plain,
( ( ! [X: $i] :
~ ( cowlNothing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[21]) ).
thf(42,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[21]) ).
thf(43,plain,
( ( ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[21]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i] :
( ( rq @ X @ Y )
=> ( rp @ X @ Y ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[21]) ).
thf(45,plain,
( ( ! [X: $i,Y: $i] :
( ( rp @ X @ Y )
=> ( rq @ X @ Y ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[21]) ).
thf(46,plain,
( ( ~ ! [X: $i] : ( cowlThing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[40]) ).
thf(47,plain,
( ( ~ ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[41]) ).
thf(48,plain,
( ( ~ ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[42]) ).
thf(49,plain,
( ( ~ ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[43]) ).
thf(50,plain,
( ( ~ ! [X: $i,Y: $i] :
( ( rq @ X @ Y )
=> ( rp @ X @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[44]) ).
thf(51,plain,
( ( ~ ! [X: $i,Y: $i] :
( ( rp @ X @ Y )
=> ( rq @ X @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[45]) ).
thf(52,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(53,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(54,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(55,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(56,plain,
( ( ( rq @ sK5_X @ sK6_SY40 )
& ~ ( rp @ sK5_X @ sK6_SY40 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(57,plain,
( ( ( rp @ sK7_X @ sK8_SY41 )
& ~ ( rq @ sK7_X @ sK8_SY41 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(58,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rq @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rq @ X @ Y )
| ~ ( rq @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(60,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rp @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rp @ X @ Y )
| ~ ( rp @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(62,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rp @ X @ iv ) )
& ! [X: $i] :
( ~ ( rp @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(63,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rq @ X @ iv ) )
& ! [X: $i] :
( ~ ( rq @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(64,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(65,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(66,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(67,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(68,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(69,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(70,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(71,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(78,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(79,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(80,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(81,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(83,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(84,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(85,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(86,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rq @ X @ iv ) )
& ! [X: $i] :
( ~ ( rq @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(87,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rp @ X @ iv ) )
& ! [X: $i] :
( ~ ( rp @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(88,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rp @ X @ Y )
| ~ ( rp @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(89,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rp @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(90,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rq @ X @ Y )
| ~ ( rq @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(91,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rq @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(92,plain,
( ( cowlThing @ iv )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(93,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(94,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(95,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(96,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(97,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(98,plain,
! [SV1: $i] :
( ( ! [SY42: $i] :
( ( SV1 != SY42 )
| ~ ( cd @ SV1 )
| ( cd @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(99,plain,
! [SV2: $i] :
( ( ! [SY43: $i] :
( ( SV2 != SY43 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(100,plain,
! [SV3: $i] :
( ( ! [SY44: $i] :
( ( SV3 != SY44 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(101,plain,
! [SV4: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ( SV4 != SY45 )
| ~ ( rp @ SV4 @ SY46 )
| ( rp @ SY45 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(102,plain,
! [SV5: $i] :
( ( ! [SY47: $i,SY48: $i] :
( ( SV5 != SY47 )
| ~ ( rp @ SY48 @ SV5 )
| ( rp @ SY48 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(103,plain,
! [SV6: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ( SV6 != SY49 )
| ~ ( rq @ SV6 @ SY50 )
| ( rq @ SY49 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(104,plain,
! [SV7: $i] :
( ( ! [SY51: $i,SY52: $i] :
( ( SV7 != SY51 )
| ~ ( rq @ SY52 @ SV7 )
| ( rq @ SY52 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(105,plain,
! [SV8: $i] :
( ( ! [SY53: $i] :
( ( SV8 != SY53 )
| ~ ( xsd_integer @ SV8 )
| ( xsd_integer @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(106,plain,
! [SV9: $i] :
( ( ! [SY54: $i] :
( ( SV9 != SY54 )
| ~ ( xsd_string @ SV9 )
| ( xsd_string @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(107,plain,
! [SV10: $i] :
( ( ! [SY55: $i,SY56: $i] :
( ~ ( rp @ SV10 @ SY55 )
| ~ ( rp @ SV10 @ SY56 )
| ( SY55 = SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(108,plain,
! [SV11: $i] :
( ( ! [SY57: $i] :
~ ( rp @ SV11 @ SY57 )
| ( cd @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(109,plain,
! [SV12: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ~ ( rq @ SV12 @ SY58 )
| ~ ( rq @ SV12 @ SY59 )
| ( SY58 = SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(110,plain,
! [SV13: $i] :
( ( ! [SY60: $i] :
~ ( rq @ SV13 @ SY60 )
| ( cd @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(111,plain,
( ( cowlThing @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(112,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(113,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(114,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(115,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(116,plain,
! [SV14: $i,SV1: $i] :
( ( ( SV1 != SV14 )
| ~ ( cd @ SV1 )
| ( cd @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(117,plain,
! [SV15: $i,SV2: $i] :
( ( ( SV2 != SV15 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(118,plain,
! [SV16: $i,SV3: $i] :
( ( ( SV3 != SV16 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(119,plain,
! [SV17: $i,SV4: $i] :
( ( ! [SY61: $i] :
( ( SV4 != SV17 )
| ~ ( rp @ SV4 @ SY61 )
| ( rp @ SV17 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(120,plain,
! [SV18: $i,SV5: $i] :
( ( ! [SY62: $i] :
( ( SV5 != SV18 )
| ~ ( rp @ SY62 @ SV5 )
| ( rp @ SY62 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(121,plain,
! [SV19: $i,SV6: $i] :
( ( ! [SY63: $i] :
( ( SV6 != SV19 )
| ~ ( rq @ SV6 @ SY63 )
| ( rq @ SV19 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(122,plain,
! [SV20: $i,SV7: $i] :
( ( ! [SY64: $i] :
( ( SV7 != SV20 )
| ~ ( rq @ SY64 @ SV7 )
| ( rq @ SY64 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(123,plain,
! [SV21: $i,SV8: $i] :
( ( ( SV8 != SV21 )
| ~ ( xsd_integer @ SV8 )
| ( xsd_integer @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(124,plain,
! [SV22: $i,SV9: $i] :
( ( ( SV9 != SV22 )
| ~ ( xsd_string @ SV9 )
| ( xsd_string @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(125,plain,
! [SV23: $i,SV10: $i] :
( ( ! [SY65: $i] :
( ~ ( rp @ SV10 @ SV23 )
| ~ ( rp @ SV10 @ SY65 )
| ( SV23 = SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(126,plain,
! [SV11: $i] :
( ( ( ! [SY57: $i] :
~ ( rp @ SV11 @ SY57 ) )
= $true )
| ( ( cd @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(127,plain,
! [SV24: $i,SV12: $i] :
( ( ! [SY66: $i] :
( ~ ( rq @ SV12 @ SV24 )
| ~ ( rq @ SV12 @ SY66 )
| ( SV24 = SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(128,plain,
! [SV13: $i] :
( ( ( ! [SY60: $i] :
~ ( rq @ SV13 @ SY60 ) )
= $true )
| ( ( cd @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(129,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(130,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(131,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(132,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(133,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(134,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(135,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(136,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(137,plain,
! [SV14: $i,SV1: $i] :
( ( ( ( SV1 != SV14 )
| ~ ( cd @ SV1 ) )
= $true )
| ( ( cd @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(138,plain,
! [SV15: $i,SV2: $i] :
( ( ( ( SV2 != SV15 )
| ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(139,plain,
! [SV16: $i,SV3: $i] :
( ( ( ( SV3 != SV16 )
| ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(140,plain,
! [SV25: $i,SV17: $i,SV4: $i] :
( ( ( SV4 != SV17 )
| ~ ( rp @ SV4 @ SV25 )
| ( rp @ SV17 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(141,plain,
! [SV26: $i,SV18: $i,SV5: $i] :
( ( ( SV5 != SV18 )
| ~ ( rp @ SV26 @ SV5 )
| ( rp @ SV26 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(142,plain,
! [SV27: $i,SV19: $i,SV6: $i] :
( ( ( SV6 != SV19 )
| ~ ( rq @ SV6 @ SV27 )
| ( rq @ SV19 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(143,plain,
! [SV28: $i,SV20: $i,SV7: $i] :
( ( ( SV7 != SV20 )
| ~ ( rq @ SV28 @ SV7 )
| ( rq @ SV28 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(144,plain,
! [SV21: $i,SV8: $i] :
( ( ( ( SV8 != SV21 )
| ~ ( xsd_integer @ SV8 ) )
= $true )
| ( ( xsd_integer @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(145,plain,
! [SV22: $i,SV9: $i] :
( ( ( ( SV9 != SV22 )
| ~ ( xsd_string @ SV9 ) )
= $true )
| ( ( xsd_string @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(146,plain,
! [SV29: $i,SV23: $i,SV10: $i] :
( ( ~ ( rp @ SV10 @ SV23 )
| ~ ( rp @ SV10 @ SV29 )
| ( SV23 = SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(147,plain,
! [SV30: $i,SV11: $i] :
( ( ( ~ ( rp @ SV11 @ SV30 ) )
= $true )
| ( ( cd @ SV11 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(148,plain,
! [SV31: $i,SV24: $i,SV12: $i] :
( ( ~ ( rq @ SV12 @ SV24 )
| ~ ( rq @ SV12 @ SV31 )
| ( SV24 = SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(149,plain,
! [SV32: $i,SV13: $i] :
( ( ( ~ ( rq @ SV13 @ SV32 ) )
= $true )
| ( ( cd @ SV13 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(150,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(151,plain,
( ( ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(152,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(153,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(154,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(155,plain,
( ( ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(156,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(157,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(158,plain,
! [SV14: $i,SV1: $i] :
( ( ( ( SV1 != SV14 ) )
= $true )
| ( ( ~ ( cd @ SV1 ) )
= $true )
| ( ( cd @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(159,plain,
! [SV15: $i,SV2: $i] :
( ( ( ( SV2 != SV15 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(160,plain,
! [SV16: $i,SV3: $i] :
( ( ( ( SV3 != SV16 ) )
= $true )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(161,plain,
! [SV25: $i,SV17: $i,SV4: $i] :
( ( ( ( SV4 != SV17 )
| ~ ( rp @ SV4 @ SV25 ) )
= $true )
| ( ( rp @ SV17 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(162,plain,
! [SV26: $i,SV18: $i,SV5: $i] :
( ( ( ( SV5 != SV18 )
| ~ ( rp @ SV26 @ SV5 ) )
= $true )
| ( ( rp @ SV26 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(163,plain,
! [SV27: $i,SV19: $i,SV6: $i] :
( ( ( ( SV6 != SV19 )
| ~ ( rq @ SV6 @ SV27 ) )
= $true )
| ( ( rq @ SV19 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(164,plain,
! [SV28: $i,SV20: $i,SV7: $i] :
( ( ( ( SV7 != SV20 )
| ~ ( rq @ SV28 @ SV7 ) )
= $true )
| ( ( rq @ SV28 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(165,plain,
! [SV21: $i,SV8: $i] :
( ( ( ( SV8 != SV21 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV8 ) )
= $true )
| ( ( xsd_integer @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(166,plain,
! [SV22: $i,SV9: $i] :
( ( ( ( SV9 != SV22 ) )
= $true )
| ( ( ~ ( xsd_string @ SV9 ) )
= $true )
| ( ( xsd_string @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(167,plain,
! [SV29: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( rp @ SV10 @ SV23 )
| ~ ( rp @ SV10 @ SV29 ) )
= $true )
| ( ( SV23 = SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(168,plain,
! [SV30: $i,SV11: $i] :
( ( ( rp @ SV11 @ SV30 )
= $false )
| ( ( cd @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(169,plain,
! [SV31: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( rq @ SV12 @ SV24 )
| ~ ( rq @ SV12 @ SV31 ) )
= $true )
| ( ( SV24 = SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(170,plain,
! [SV32: $i,SV13: $i] :
( ( ( rq @ SV13 @ SV32 )
= $false )
| ( ( cd @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(171,plain,
! [SV33: $i] :
( ( ~ ( cd @ SV33 )
| ( rq @ SV33 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(172,plain,
! [SV34: $i] :
( ( ~ ( rq @ SV34 @ iv )
| ( cd @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(173,plain,
! [SV35: $i] :
( ( cowlThing @ SV35 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(174,plain,
! [SV36: $i] :
( ( ~ ( cowlNothing @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(175,plain,
! [SV37: $i] :
( ( ~ ( cd @ SV37 )
| ( rp @ SV37 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(176,plain,
! [SV38: $i] :
( ( ~ ( rp @ SV38 @ iv )
| ( cd @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(177,plain,
! [SV39: $i] :
( ( ~ ( xsd_string @ SV39 )
| ~ ( xsd_integer @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(178,plain,
! [SV40: $i] :
( ( ( xsd_integer @ SV40 )
| ( xsd_string @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(179,plain,
! [SV14: $i,SV1: $i] :
( ( ( SV1 = SV14 )
= $false )
| ( ( ~ ( cd @ SV1 ) )
= $true )
| ( ( cd @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(180,plain,
! [SV15: $i,SV2: $i] :
( ( ( SV2 = SV15 )
= $false )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(181,plain,
! [SV16: $i,SV3: $i] :
( ( ( SV3 = SV16 )
= $false )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(182,plain,
! [SV25: $i,SV17: $i,SV4: $i] :
( ( ( ( SV4 != SV17 ) )
= $true )
| ( ( ~ ( rp @ SV4 @ SV25 ) )
= $true )
| ( ( rp @ SV17 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(183,plain,
! [SV26: $i,SV18: $i,SV5: $i] :
( ( ( ( SV5 != SV18 ) )
= $true )
| ( ( ~ ( rp @ SV26 @ SV5 ) )
= $true )
| ( ( rp @ SV26 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(184,plain,
! [SV27: $i,SV19: $i,SV6: $i] :
( ( ( ( SV6 != SV19 ) )
= $true )
| ( ( ~ ( rq @ SV6 @ SV27 ) )
= $true )
| ( ( rq @ SV19 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(185,plain,
! [SV28: $i,SV20: $i,SV7: $i] :
( ( ( ( SV7 != SV20 ) )
= $true )
| ( ( ~ ( rq @ SV28 @ SV7 ) )
= $true )
| ( ( rq @ SV28 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(186,plain,
! [SV21: $i,SV8: $i] :
( ( ( SV8 = SV21 )
= $false )
| ( ( ~ ( xsd_integer @ SV8 ) )
= $true )
| ( ( xsd_integer @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(187,plain,
! [SV22: $i,SV9: $i] :
( ( ( SV9 = SV22 )
= $false )
| ( ( ~ ( xsd_string @ SV9 ) )
= $true )
| ( ( xsd_string @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(188,plain,
! [SV29: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( rp @ SV10 @ SV23 ) )
= $true )
| ( ( ~ ( rp @ SV10 @ SV29 ) )
= $true )
| ( ( SV23 = SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(189,plain,
! [SV31: $i,SV24: $i,SV12: $i] :
( ( ( ~ ( rq @ SV12 @ SV24 ) )
= $true )
| ( ( ~ ( rq @ SV12 @ SV31 ) )
= $true )
| ( ( SV24 = SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(190,plain,
! [SV33: $i] :
( ( ( ~ ( cd @ SV33 ) )
= $true )
| ( ( rq @ SV33 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(191,plain,
! [SV34: $i] :
( ( ( ~ ( rq @ SV34 @ iv ) )
= $true )
| ( ( cd @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(192,plain,
! [SV36: $i] :
( ( cowlNothing @ SV36 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(193,plain,
! [SV37: $i] :
( ( ( ~ ( cd @ SV37 ) )
= $true )
| ( ( rp @ SV37 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(194,plain,
! [SV38: $i] :
( ( ( ~ ( rp @ SV38 @ iv ) )
= $true )
| ( ( cd @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(195,plain,
! [SV39: $i] :
( ( ( ~ ( xsd_string @ SV39 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(196,plain,
! [SV40: $i] :
( ( ( xsd_integer @ SV40 )
= $true )
| ( ( xsd_string @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(197,plain,
! [SV14: $i,SV1: $i] :
( ( ( cd @ SV1 )
= $false )
| ( ( SV1 = SV14 )
= $false )
| ( ( cd @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(198,plain,
! [SV15: $i,SV2: $i] :
( ( ( cowlNothing @ SV2 )
= $false )
| ( ( SV2 = SV15 )
= $false )
| ( ( cowlNothing @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(199,plain,
! [SV16: $i,SV3: $i] :
( ( ( cowlThing @ SV3 )
= $false )
| ( ( SV3 = SV16 )
= $false )
| ( ( cowlThing @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(200,plain,
! [SV25: $i,SV17: $i,SV4: $i] :
( ( ( SV4 = SV17 )
= $false )
| ( ( ~ ( rp @ SV4 @ SV25 ) )
= $true )
| ( ( rp @ SV17 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(201,plain,
! [SV26: $i,SV18: $i,SV5: $i] :
( ( ( SV5 = SV18 )
= $false )
| ( ( ~ ( rp @ SV26 @ SV5 ) )
= $true )
| ( ( rp @ SV26 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(202,plain,
! [SV27: $i,SV19: $i,SV6: $i] :
( ( ( SV6 = SV19 )
= $false )
| ( ( ~ ( rq @ SV6 @ SV27 ) )
= $true )
| ( ( rq @ SV19 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(203,plain,
! [SV28: $i,SV20: $i,SV7: $i] :
( ( ( SV7 = SV20 )
= $false )
| ( ( ~ ( rq @ SV28 @ SV7 ) )
= $true )
| ( ( rq @ SV28 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(204,plain,
! [SV21: $i,SV8: $i] :
( ( ( xsd_integer @ SV8 )
= $false )
| ( ( SV8 = SV21 )
= $false )
| ( ( xsd_integer @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(205,plain,
! [SV22: $i,SV9: $i] :
( ( ( xsd_string @ SV9 )
= $false )
| ( ( SV9 = SV22 )
= $false )
| ( ( xsd_string @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(206,plain,
! [SV29: $i,SV23: $i,SV10: $i] :
( ( ( rp @ SV10 @ SV23 )
= $false )
| ( ( ~ ( rp @ SV10 @ SV29 ) )
= $true )
| ( ( SV23 = SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(207,plain,
! [SV31: $i,SV24: $i,SV12: $i] :
( ( ( rq @ SV12 @ SV24 )
= $false )
| ( ( ~ ( rq @ SV12 @ SV31 ) )
= $true )
| ( ( SV24 = SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(208,plain,
! [SV33: $i] :
( ( ( cd @ SV33 )
= $false )
| ( ( rq @ SV33 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(209,plain,
! [SV34: $i] :
( ( ( rq @ SV34 @ iv )
= $false )
| ( ( cd @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(210,plain,
! [SV37: $i] :
( ( ( cd @ SV37 )
= $false )
| ( ( rp @ SV37 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(211,plain,
! [SV38: $i] :
( ( ( rp @ SV38 @ iv )
= $false )
| ( ( cd @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(212,plain,
! [SV39: $i] :
( ( ( xsd_string @ SV39 )
= $false )
| ( ( ~ ( xsd_integer @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(213,plain,
! [SV17: $i,SV25: $i,SV4: $i] :
( ( ( rp @ SV4 @ SV25 )
= $false )
| ( ( SV4 = SV17 )
= $false )
| ( ( rp @ SV17 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(214,plain,
! [SV18: $i,SV5: $i,SV26: $i] :
( ( ( rp @ SV26 @ SV5 )
= $false )
| ( ( SV5 = SV18 )
= $false )
| ( ( rp @ SV26 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(215,plain,
! [SV19: $i,SV27: $i,SV6: $i] :
( ( ( rq @ SV6 @ SV27 )
= $false )
| ( ( SV6 = SV19 )
= $false )
| ( ( rq @ SV19 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(216,plain,
! [SV20: $i,SV7: $i,SV28: $i] :
( ( ( rq @ SV28 @ SV7 )
= $false )
| ( ( SV7 = SV20 )
= $false )
| ( ( rq @ SV28 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(217,plain,
! [SV23: $i,SV29: $i,SV10: $i] :
( ( ( rp @ SV10 @ SV29 )
= $false )
| ( ( rp @ SV10 @ SV23 )
= $false )
| ( ( SV23 = SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(218,plain,
! [SV24: $i,SV31: $i,SV12: $i] :
( ( ( rq @ SV12 @ SV31 )
= $false )
| ( ( rq @ SV12 @ SV24 )
= $false )
| ( ( SV24 = SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(219,plain,
! [SV39: $i] :
( ( ( xsd_integer @ SV39 )
= $false )
| ( ( xsd_string @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(220,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[92,219,218,217,216,215,214,213,211,210,209,208,205,204,199,198,197,196,192,173,170,168,111]) ).
thf(221,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(222,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(223,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(224,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(225,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(226,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(227,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(228,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(229,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(230,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(231,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(232,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rq @ X @ iv ) )
& ! [X: $i] :
( ~ ( rq @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(233,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rp @ X @ iv ) )
& ! [X: $i] :
( ~ ( rp @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(234,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rp @ X @ Y )
| ~ ( rp @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(235,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rp @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(236,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rq @ X @ Y )
| ~ ( rq @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(237,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rq @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(238,plain,
( ( cowlThing @ iv )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(239,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(240,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(241,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(242,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(243,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(244,plain,
! [SV41: $i] :
( ( ! [SY67: $i] :
( ( SV41 != SY67 )
| ~ ( cd @ SV41 )
| ( cd @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(245,plain,
! [SV42: $i] :
( ( ! [SY68: $i] :
( ( SV42 != SY68 )
| ~ ( cowlNothing @ SV42 )
| ( cowlNothing @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(246,plain,
! [SV43: $i] :
( ( ! [SY69: $i] :
( ( SV43 != SY69 )
| ~ ( cowlThing @ SV43 )
| ( cowlThing @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(247,plain,
! [SV44: $i] :
( ( ! [SY70: $i,SY71: $i] :
( ( SV44 != SY70 )
| ~ ( rp @ SV44 @ SY71 )
| ( rp @ SY70 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(248,plain,
! [SV45: $i] :
( ( ! [SY72: $i,SY73: $i] :
( ( SV45 != SY72 )
| ~ ( rp @ SY73 @ SV45 )
| ( rp @ SY73 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(249,plain,
! [SV46: $i] :
( ( ! [SY74: $i,SY75: $i] :
( ( SV46 != SY74 )
| ~ ( rq @ SV46 @ SY75 )
| ( rq @ SY74 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(250,plain,
! [SV47: $i] :
( ( ! [SY76: $i,SY77: $i] :
( ( SV47 != SY76 )
| ~ ( rq @ SY77 @ SV47 )
| ( rq @ SY77 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(251,plain,
! [SV48: $i] :
( ( ! [SY78: $i] :
( ( SV48 != SY78 )
| ~ ( xsd_integer @ SV48 )
| ( xsd_integer @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(252,plain,
! [SV49: $i] :
( ( ! [SY79: $i] :
( ( SV49 != SY79 )
| ~ ( xsd_string @ SV49 )
| ( xsd_string @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(253,plain,
! [SV50: $i] :
( ( ! [SY80: $i,SY81: $i] :
( ~ ( rp @ SV50 @ SY80 )
| ~ ( rp @ SV50 @ SY81 )
| ( SY80 = SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(254,plain,
! [SV51: $i] :
( ( ! [SY82: $i] :
~ ( rp @ SV51 @ SY82 )
| ( cd @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(255,plain,
! [SV52: $i] :
( ( ! [SY83: $i,SY84: $i] :
( ~ ( rq @ SV52 @ SY83 )
| ~ ( rq @ SV52 @ SY84 )
| ( SY83 = SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(256,plain,
! [SV53: $i] :
( ( ! [SY85: $i] :
~ ( rq @ SV53 @ SY85 )
| ( cd @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(257,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(258,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(259,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(260,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(261,plain,
! [SV54: $i,SV41: $i] :
( ( ( SV41 != SV54 )
| ~ ( cd @ SV41 )
| ( cd @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(262,plain,
! [SV55: $i,SV42: $i] :
( ( ( SV42 != SV55 )
| ~ ( cowlNothing @ SV42 )
| ( cowlNothing @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(263,plain,
! [SV56: $i,SV43: $i] :
( ( ( SV43 != SV56 )
| ~ ( cowlThing @ SV43 )
| ( cowlThing @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(264,plain,
! [SV57: $i,SV44: $i] :
( ( ! [SY86: $i] :
( ( SV44 != SV57 )
| ~ ( rp @ SV44 @ SY86 )
| ( rp @ SV57 @ SY86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(265,plain,
! [SV58: $i,SV45: $i] :
( ( ! [SY87: $i] :
( ( SV45 != SV58 )
| ~ ( rp @ SY87 @ SV45 )
| ( rp @ SY87 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(266,plain,
! [SV59: $i,SV46: $i] :
( ( ! [SY88: $i] :
( ( SV46 != SV59 )
| ~ ( rq @ SV46 @ SY88 )
| ( rq @ SV59 @ SY88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(267,plain,
! [SV60: $i,SV47: $i] :
( ( ! [SY89: $i] :
( ( SV47 != SV60 )
| ~ ( rq @ SY89 @ SV47 )
| ( rq @ SY89 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(268,plain,
! [SV61: $i,SV48: $i] :
( ( ( SV48 != SV61 )
| ~ ( xsd_integer @ SV48 )
| ( xsd_integer @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(269,plain,
! [SV62: $i,SV49: $i] :
( ( ( SV49 != SV62 )
| ~ ( xsd_string @ SV49 )
| ( xsd_string @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(270,plain,
! [SV63: $i,SV50: $i] :
( ( ! [SY90: $i] :
( ~ ( rp @ SV50 @ SV63 )
| ~ ( rp @ SV50 @ SY90 )
| ( SV63 = SY90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(271,plain,
! [SV51: $i] :
( ( ( ! [SY82: $i] :
~ ( rp @ SV51 @ SY82 ) )
= $true )
| ( ( cd @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(272,plain,
! [SV64: $i,SV52: $i] :
( ( ! [SY91: $i] :
( ~ ( rq @ SV52 @ SV64 )
| ~ ( rq @ SV52 @ SY91 )
| ( SV64 = SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(273,plain,
! [SV53: $i] :
( ( ( ! [SY85: $i] :
~ ( rq @ SV53 @ SY85 ) )
= $true )
| ( ( cd @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(274,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(275,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(276,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(277,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(278,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(279,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(280,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(281,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(282,plain,
! [SV54: $i,SV41: $i] :
( ( ( ( SV41 != SV54 )
| ~ ( cd @ SV41 ) )
= $true )
| ( ( cd @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(283,plain,
! [SV55: $i,SV42: $i] :
( ( ( ( SV42 != SV55 )
| ~ ( cowlNothing @ SV42 ) )
= $true )
| ( ( cowlNothing @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(284,plain,
! [SV56: $i,SV43: $i] :
( ( ( ( SV43 != SV56 )
| ~ ( cowlThing @ SV43 ) )
= $true )
| ( ( cowlThing @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(285,plain,
! [SV65: $i,SV57: $i,SV44: $i] :
( ( ( SV44 != SV57 )
| ~ ( rp @ SV44 @ SV65 )
| ( rp @ SV57 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(286,plain,
! [SV66: $i,SV58: $i,SV45: $i] :
( ( ( SV45 != SV58 )
| ~ ( rp @ SV66 @ SV45 )
| ( rp @ SV66 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(287,plain,
! [SV67: $i,SV59: $i,SV46: $i] :
( ( ( SV46 != SV59 )
| ~ ( rq @ SV46 @ SV67 )
| ( rq @ SV59 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(288,plain,
! [SV68: $i,SV60: $i,SV47: $i] :
( ( ( SV47 != SV60 )
| ~ ( rq @ SV68 @ SV47 )
| ( rq @ SV68 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(289,plain,
! [SV61: $i,SV48: $i] :
( ( ( ( SV48 != SV61 )
| ~ ( xsd_integer @ SV48 ) )
= $true )
| ( ( xsd_integer @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(290,plain,
! [SV62: $i,SV49: $i] :
( ( ( ( SV49 != SV62 )
| ~ ( xsd_string @ SV49 ) )
= $true )
| ( ( xsd_string @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(291,plain,
! [SV69: $i,SV63: $i,SV50: $i] :
( ( ~ ( rp @ SV50 @ SV63 )
| ~ ( rp @ SV50 @ SV69 )
| ( SV63 = SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(292,plain,
! [SV70: $i,SV51: $i] :
( ( ( ~ ( rp @ SV51 @ SV70 ) )
= $true )
| ( ( cd @ SV51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(293,plain,
! [SV71: $i,SV64: $i,SV52: $i] :
( ( ~ ( rq @ SV52 @ SV64 )
| ~ ( rq @ SV52 @ SV71 )
| ( SV64 = SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(294,plain,
! [SV72: $i,SV53: $i] :
( ( ( ~ ( rq @ SV53 @ SV72 ) )
= $true )
| ( ( cd @ SV53 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(295,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(296,plain,
( ( ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(297,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(298,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(299,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(300,plain,
( ( ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(301,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(302,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(303,plain,
! [SV54: $i,SV41: $i] :
( ( ( ( SV41 != SV54 ) )
= $true )
| ( ( ~ ( cd @ SV41 ) )
= $true )
| ( ( cd @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(304,plain,
! [SV55: $i,SV42: $i] :
( ( ( ( SV42 != SV55 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV42 ) )
= $true )
| ( ( cowlNothing @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(305,plain,
! [SV56: $i,SV43: $i] :
( ( ( ( SV43 != SV56 ) )
= $true )
| ( ( ~ ( cowlThing @ SV43 ) )
= $true )
| ( ( cowlThing @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(306,plain,
! [SV65: $i,SV57: $i,SV44: $i] :
( ( ( ( SV44 != SV57 )
| ~ ( rp @ SV44 @ SV65 ) )
= $true )
| ( ( rp @ SV57 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(307,plain,
! [SV66: $i,SV58: $i,SV45: $i] :
( ( ( ( SV45 != SV58 )
| ~ ( rp @ SV66 @ SV45 ) )
= $true )
| ( ( rp @ SV66 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(308,plain,
! [SV67: $i,SV59: $i,SV46: $i] :
( ( ( ( SV46 != SV59 )
| ~ ( rq @ SV46 @ SV67 ) )
= $true )
| ( ( rq @ SV59 @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(309,plain,
! [SV68: $i,SV60: $i,SV47: $i] :
( ( ( ( SV47 != SV60 )
| ~ ( rq @ SV68 @ SV47 ) )
= $true )
| ( ( rq @ SV68 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(310,plain,
! [SV61: $i,SV48: $i] :
( ( ( ( SV48 != SV61 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV48 ) )
= $true )
| ( ( xsd_integer @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(311,plain,
! [SV62: $i,SV49: $i] :
( ( ( ( SV49 != SV62 ) )
= $true )
| ( ( ~ ( xsd_string @ SV49 ) )
= $true )
| ( ( xsd_string @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(312,plain,
! [SV69: $i,SV63: $i,SV50: $i] :
( ( ( ~ ( rp @ SV50 @ SV63 )
| ~ ( rp @ SV50 @ SV69 ) )
= $true )
| ( ( SV63 = SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(313,plain,
! [SV70: $i,SV51: $i] :
( ( ( rp @ SV51 @ SV70 )
= $false )
| ( ( cd @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(314,plain,
! [SV71: $i,SV64: $i,SV52: $i] :
( ( ( ~ ( rq @ SV52 @ SV64 )
| ~ ( rq @ SV52 @ SV71 ) )
= $true )
| ( ( SV64 = SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(315,plain,
! [SV72: $i,SV53: $i] :
( ( ( rq @ SV53 @ SV72 )
= $false )
| ( ( cd @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(316,plain,
! [SV73: $i] :
( ( ~ ( cd @ SV73 )
| ( rq @ SV73 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(317,plain,
! [SV74: $i] :
( ( ~ ( rq @ SV74 @ iv )
| ( cd @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(318,plain,
! [SV75: $i] :
( ( cowlThing @ SV75 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(319,plain,
! [SV76: $i] :
( ( ~ ( cowlNothing @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(320,plain,
! [SV77: $i] :
( ( ~ ( cd @ SV77 )
| ( rp @ SV77 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(321,plain,
! [SV78: $i] :
( ( ~ ( rp @ SV78 @ iv )
| ( cd @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(322,plain,
! [SV79: $i] :
( ( ~ ( xsd_string @ SV79 )
| ~ ( xsd_integer @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(323,plain,
! [SV80: $i] :
( ( ( xsd_integer @ SV80 )
| ( xsd_string @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(324,plain,
! [SV54: $i,SV41: $i] :
( ( ( SV41 = SV54 )
= $false )
| ( ( ~ ( cd @ SV41 ) )
= $true )
| ( ( cd @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(325,plain,
! [SV55: $i,SV42: $i] :
( ( ( SV42 = SV55 )
= $false )
| ( ( ~ ( cowlNothing @ SV42 ) )
= $true )
| ( ( cowlNothing @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(326,plain,
! [SV56: $i,SV43: $i] :
( ( ( SV43 = SV56 )
= $false )
| ( ( ~ ( cowlThing @ SV43 ) )
= $true )
| ( ( cowlThing @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(327,plain,
! [SV65: $i,SV57: $i,SV44: $i] :
( ( ( ( SV44 != SV57 ) )
= $true )
| ( ( ~ ( rp @ SV44 @ SV65 ) )
= $true )
| ( ( rp @ SV57 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(328,plain,
! [SV66: $i,SV58: $i,SV45: $i] :
( ( ( ( SV45 != SV58 ) )
= $true )
| ( ( ~ ( rp @ SV66 @ SV45 ) )
= $true )
| ( ( rp @ SV66 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(329,plain,
! [SV67: $i,SV59: $i,SV46: $i] :
( ( ( ( SV46 != SV59 ) )
= $true )
| ( ( ~ ( rq @ SV46 @ SV67 ) )
= $true )
| ( ( rq @ SV59 @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(330,plain,
! [SV68: $i,SV60: $i,SV47: $i] :
( ( ( ( SV47 != SV60 ) )
= $true )
| ( ( ~ ( rq @ SV68 @ SV47 ) )
= $true )
| ( ( rq @ SV68 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(331,plain,
! [SV61: $i,SV48: $i] :
( ( ( SV48 = SV61 )
= $false )
| ( ( ~ ( xsd_integer @ SV48 ) )
= $true )
| ( ( xsd_integer @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(332,plain,
! [SV62: $i,SV49: $i] :
( ( ( SV49 = SV62 )
= $false )
| ( ( ~ ( xsd_string @ SV49 ) )
= $true )
| ( ( xsd_string @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(333,plain,
! [SV69: $i,SV63: $i,SV50: $i] :
( ( ( ~ ( rp @ SV50 @ SV63 ) )
= $true )
| ( ( ~ ( rp @ SV50 @ SV69 ) )
= $true )
| ( ( SV63 = SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(334,plain,
! [SV71: $i,SV64: $i,SV52: $i] :
( ( ( ~ ( rq @ SV52 @ SV64 ) )
= $true )
| ( ( ~ ( rq @ SV52 @ SV71 ) )
= $true )
| ( ( SV64 = SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(335,plain,
! [SV73: $i] :
( ( ( ~ ( cd @ SV73 ) )
= $true )
| ( ( rq @ SV73 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(336,plain,
! [SV74: $i] :
( ( ( ~ ( rq @ SV74 @ iv ) )
= $true )
| ( ( cd @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(337,plain,
! [SV76: $i] :
( ( cowlNothing @ SV76 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(338,plain,
! [SV77: $i] :
( ( ( ~ ( cd @ SV77 ) )
= $true )
| ( ( rp @ SV77 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(339,plain,
! [SV78: $i] :
( ( ( ~ ( rp @ SV78 @ iv ) )
= $true )
| ( ( cd @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(340,plain,
! [SV79: $i] :
( ( ( ~ ( xsd_string @ SV79 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(341,plain,
! [SV80: $i] :
( ( ( xsd_integer @ SV80 )
= $true )
| ( ( xsd_string @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(342,plain,
! [SV54: $i,SV41: $i] :
( ( ( cd @ SV41 )
= $false )
| ( ( SV41 = SV54 )
= $false )
| ( ( cd @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(343,plain,
! [SV55: $i,SV42: $i] :
( ( ( cowlNothing @ SV42 )
= $false )
| ( ( SV42 = SV55 )
= $false )
| ( ( cowlNothing @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(344,plain,
! [SV56: $i,SV43: $i] :
( ( ( cowlThing @ SV43 )
= $false )
| ( ( SV43 = SV56 )
= $false )
| ( ( cowlThing @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(345,plain,
! [SV65: $i,SV57: $i,SV44: $i] :
( ( ( SV44 = SV57 )
= $false )
| ( ( ~ ( rp @ SV44 @ SV65 ) )
= $true )
| ( ( rp @ SV57 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(346,plain,
! [SV66: $i,SV58: $i,SV45: $i] :
( ( ( SV45 = SV58 )
= $false )
| ( ( ~ ( rp @ SV66 @ SV45 ) )
= $true )
| ( ( rp @ SV66 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(347,plain,
! [SV67: $i,SV59: $i,SV46: $i] :
( ( ( SV46 = SV59 )
= $false )
| ( ( ~ ( rq @ SV46 @ SV67 ) )
= $true )
| ( ( rq @ SV59 @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(348,plain,
! [SV68: $i,SV60: $i,SV47: $i] :
( ( ( SV47 = SV60 )
= $false )
| ( ( ~ ( rq @ SV68 @ SV47 ) )
= $true )
| ( ( rq @ SV68 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(349,plain,
! [SV61: $i,SV48: $i] :
( ( ( xsd_integer @ SV48 )
= $false )
| ( ( SV48 = SV61 )
= $false )
| ( ( xsd_integer @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(350,plain,
! [SV62: $i,SV49: $i] :
( ( ( xsd_string @ SV49 )
= $false )
| ( ( SV49 = SV62 )
= $false )
| ( ( xsd_string @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(351,plain,
! [SV69: $i,SV63: $i,SV50: $i] :
( ( ( rp @ SV50 @ SV63 )
= $false )
| ( ( ~ ( rp @ SV50 @ SV69 ) )
= $true )
| ( ( SV63 = SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(352,plain,
! [SV71: $i,SV64: $i,SV52: $i] :
( ( ( rq @ SV52 @ SV64 )
= $false )
| ( ( ~ ( rq @ SV52 @ SV71 ) )
= $true )
| ( ( SV64 = SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(353,plain,
! [SV73: $i] :
( ( ( cd @ SV73 )
= $false )
| ( ( rq @ SV73 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(354,plain,
! [SV74: $i] :
( ( ( rq @ SV74 @ iv )
= $false )
| ( ( cd @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(355,plain,
! [SV77: $i] :
( ( ( cd @ SV77 )
= $false )
| ( ( rp @ SV77 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(356,plain,
! [SV78: $i] :
( ( ( rp @ SV78 @ iv )
= $false )
| ( ( cd @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(357,plain,
! [SV79: $i] :
( ( ( xsd_string @ SV79 )
= $false )
| ( ( ~ ( xsd_integer @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(358,plain,
! [SV57: $i,SV65: $i,SV44: $i] :
( ( ( rp @ SV44 @ SV65 )
= $false )
| ( ( SV44 = SV57 )
= $false )
| ( ( rp @ SV57 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(359,plain,
! [SV58: $i,SV45: $i,SV66: $i] :
( ( ( rp @ SV66 @ SV45 )
= $false )
| ( ( SV45 = SV58 )
= $false )
| ( ( rp @ SV66 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(360,plain,
! [SV59: $i,SV67: $i,SV46: $i] :
( ( ( rq @ SV46 @ SV67 )
= $false )
| ( ( SV46 = SV59 )
= $false )
| ( ( rq @ SV59 @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(361,plain,
! [SV60: $i,SV47: $i,SV68: $i] :
( ( ( rq @ SV68 @ SV47 )
= $false )
| ( ( SV47 = SV60 )
= $false )
| ( ( rq @ SV68 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(362,plain,
! [SV63: $i,SV69: $i,SV50: $i] :
( ( ( rp @ SV50 @ SV69 )
= $false )
| ( ( rp @ SV50 @ SV63 )
= $false )
| ( ( SV63 = SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(363,plain,
! [SV64: $i,SV71: $i,SV52: $i] :
( ( ( rq @ SV52 @ SV71 )
= $false )
| ( ( rq @ SV52 @ SV64 )
= $false )
| ( ( SV64 = SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(364,plain,
! [SV79: $i] :
( ( ( xsd_integer @ SV79 )
= $false )
| ( ( xsd_string @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(365,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[238,364,363,362,361,360,359,358,356,355,354,353,350,349,344,343,342,341,337,318,315,313,239]) ).
thf(366,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(367,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(368,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(369,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(370,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(371,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(372,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(373,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(374,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(375,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(376,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(377,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rq @ X @ iv ) )
& ! [X: $i] :
( ~ ( rq @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(378,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rp @ X @ iv ) )
& ! [X: $i] :
( ~ ( rp @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(379,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rp @ X @ Y )
| ~ ( rp @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(380,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rp @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(381,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rq @ X @ Y )
| ~ ( rq @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(382,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rq @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(383,plain,
( ( cowlThing @ iv )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(384,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(385,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[376]) ).
thf(386,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(387,plain,
( ( ~ ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(388,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[375]) ).
thf(389,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(390,plain,
! [SV81: $i] :
( ( ! [SY92: $i] :
( ( SV81 != SY92 )
| ~ ( cd @ SV81 )
| ( cd @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(391,plain,
! [SV82: $i] :
( ( ! [SY93: $i] :
( ( SV82 != SY93 )
| ~ ( cowlNothing @ SV82 )
| ( cowlNothing @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(392,plain,
! [SV83: $i] :
( ( ! [SY94: $i] :
( ( SV83 != SY94 )
| ~ ( cowlThing @ SV83 )
| ( cowlThing @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(393,plain,
! [SV84: $i] :
( ( ! [SY95: $i,SY96: $i] :
( ( SV84 != SY95 )
| ~ ( rp @ SV84 @ SY96 )
| ( rp @ SY95 @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(394,plain,
! [SV85: $i] :
( ( ! [SY97: $i,SY98: $i] :
( ( SV85 != SY97 )
| ~ ( rp @ SY98 @ SV85 )
| ( rp @ SY98 @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(395,plain,
! [SV86: $i] :
( ( ! [SY99: $i,SY100: $i] :
( ( SV86 != SY99 )
| ~ ( rq @ SV86 @ SY100 )
| ( rq @ SY99 @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(396,plain,
! [SV87: $i] :
( ( ! [SY101: $i,SY102: $i] :
( ( SV87 != SY101 )
| ~ ( rq @ SY102 @ SV87 )
| ( rq @ SY102 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(397,plain,
! [SV88: $i] :
( ( ! [SY103: $i] :
( ( SV88 != SY103 )
| ~ ( xsd_integer @ SV88 )
| ( xsd_integer @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(398,plain,
! [SV89: $i] :
( ( ! [SY104: $i] :
( ( SV89 != SY104 )
| ~ ( xsd_string @ SV89 )
| ( xsd_string @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(399,plain,
! [SV90: $i] :
( ( ! [SY105: $i,SY106: $i] :
( ~ ( rp @ SV90 @ SY105 )
| ~ ( rp @ SV90 @ SY106 )
| ( SY105 = SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(400,plain,
! [SV91: $i] :
( ( ! [SY107: $i] :
~ ( rp @ SV91 @ SY107 )
| ( cd @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(401,plain,
! [SV92: $i] :
( ( ! [SY108: $i,SY109: $i] :
( ~ ( rq @ SV92 @ SY108 )
| ~ ( rq @ SV92 @ SY109 )
| ( SY108 = SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(402,plain,
! [SV93: $i] :
( ( ! [SY110: $i] :
~ ( rq @ SV93 @ SY110 )
| ( cd @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(403,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(404,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(405,plain,
( ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(406,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(407,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(408,plain,
! [SV94: $i,SV81: $i] :
( ( ( SV81 != SV94 )
| ~ ( cd @ SV81 )
| ( cd @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(409,plain,
! [SV95: $i,SV82: $i] :
( ( ( SV82 != SV95 )
| ~ ( cowlNothing @ SV82 )
| ( cowlNothing @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(410,plain,
! [SV96: $i,SV83: $i] :
( ( ( SV83 != SV96 )
| ~ ( cowlThing @ SV83 )
| ( cowlThing @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(411,plain,
! [SV97: $i,SV84: $i] :
( ( ! [SY111: $i] :
( ( SV84 != SV97 )
| ~ ( rp @ SV84 @ SY111 )
| ( rp @ SV97 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(412,plain,
! [SV98: $i,SV85: $i] :
( ( ! [SY112: $i] :
( ( SV85 != SV98 )
| ~ ( rp @ SY112 @ SV85 )
| ( rp @ SY112 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(413,plain,
! [SV99: $i,SV86: $i] :
( ( ! [SY113: $i] :
( ( SV86 != SV99 )
| ~ ( rq @ SV86 @ SY113 )
| ( rq @ SV99 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(414,plain,
! [SV100: $i,SV87: $i] :
( ( ! [SY114: $i] :
( ( SV87 != SV100 )
| ~ ( rq @ SY114 @ SV87 )
| ( rq @ SY114 @ SV100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(415,plain,
! [SV101: $i,SV88: $i] :
( ( ( SV88 != SV101 )
| ~ ( xsd_integer @ SV88 )
| ( xsd_integer @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(416,plain,
! [SV102: $i,SV89: $i] :
( ( ( SV89 != SV102 )
| ~ ( xsd_string @ SV89 )
| ( xsd_string @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(417,plain,
! [SV103: $i,SV90: $i] :
( ( ! [SY115: $i] :
( ~ ( rp @ SV90 @ SV103 )
| ~ ( rp @ SV90 @ SY115 )
| ( SV103 = SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(418,plain,
! [SV91: $i] :
( ( ( ! [SY107: $i] :
~ ( rp @ SV91 @ SY107 ) )
= $true )
| ( ( cd @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(419,plain,
! [SV104: $i,SV92: $i] :
( ( ! [SY116: $i] :
( ~ ( rq @ SV92 @ SV104 )
| ~ ( rq @ SV92 @ SY116 )
| ( SV104 = SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(420,plain,
! [SV93: $i] :
( ( ( ! [SY110: $i] :
~ ( rq @ SV93 @ SY110 ) )
= $true )
| ( ( cd @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(421,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(422,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[403]) ).
thf(423,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(424,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(425,plain,
( ( ~ ( xsd_string @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(426,plain,
( ( ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(427,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(428,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(429,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(430,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[407]) ).
thf(431,plain,
! [SV94: $i,SV81: $i] :
( ( ( ( SV81 != SV94 )
| ~ ( cd @ SV81 ) )
= $true )
| ( ( cd @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(432,plain,
! [SV95: $i,SV82: $i] :
( ( ( ( SV82 != SV95 )
| ~ ( cowlNothing @ SV82 ) )
= $true )
| ( ( cowlNothing @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(433,plain,
! [SV96: $i,SV83: $i] :
( ( ( ( SV83 != SV96 )
| ~ ( cowlThing @ SV83 ) )
= $true )
| ( ( cowlThing @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(434,plain,
! [SV105: $i,SV97: $i,SV84: $i] :
( ( ( SV84 != SV97 )
| ~ ( rp @ SV84 @ SV105 )
| ( rp @ SV97 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(435,plain,
! [SV106: $i,SV98: $i,SV85: $i] :
( ( ( SV85 != SV98 )
| ~ ( rp @ SV106 @ SV85 )
| ( rp @ SV106 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(436,plain,
! [SV107: $i,SV99: $i,SV86: $i] :
( ( ( SV86 != SV99 )
| ~ ( rq @ SV86 @ SV107 )
| ( rq @ SV99 @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(437,plain,
! [SV108: $i,SV100: $i,SV87: $i] :
( ( ( SV87 != SV100 )
| ~ ( rq @ SV108 @ SV87 )
| ( rq @ SV108 @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(438,plain,
! [SV101: $i,SV88: $i] :
( ( ( ( SV88 != SV101 )
| ~ ( xsd_integer @ SV88 ) )
= $true )
| ( ( xsd_integer @ SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(439,plain,
! [SV102: $i,SV89: $i] :
( ( ( ( SV89 != SV102 )
| ~ ( xsd_string @ SV89 ) )
= $true )
| ( ( xsd_string @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(440,plain,
! [SV109: $i,SV103: $i,SV90: $i] :
( ( ~ ( rp @ SV90 @ SV103 )
| ~ ( rp @ SV90 @ SV109 )
| ( SV103 = SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(441,plain,
! [SV110: $i,SV91: $i] :
( ( ( ~ ( rp @ SV91 @ SV110 ) )
= $true )
| ( ( cd @ SV91 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(442,plain,
! [SV111: $i,SV104: $i,SV92: $i] :
( ( ~ ( rq @ SV92 @ SV104 )
| ~ ( rq @ SV92 @ SV111 )
| ( SV104 = SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(443,plain,
! [SV112: $i,SV93: $i] :
( ( ( ~ ( rq @ SV93 @ SV112 ) )
= $true )
| ( ( cd @ SV93 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(444,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(445,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(446,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(447,plain,
( ( ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(448,plain,
( ( xsd_string @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(449,plain,
( ( xsd_integer @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(450,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(451,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(452,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(453,plain,
( ( ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(454,plain,
! [SV94: $i,SV81: $i] :
( ( ( ( SV81 != SV94 ) )
= $true )
| ( ( ~ ( cd @ SV81 ) )
= $true )
| ( ( cd @ SV94 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(455,plain,
! [SV95: $i,SV82: $i] :
( ( ( ( SV82 != SV95 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV82 ) )
= $true )
| ( ( cowlNothing @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(456,plain,
! [SV96: $i,SV83: $i] :
( ( ( ( SV83 != SV96 ) )
= $true )
| ( ( ~ ( cowlThing @ SV83 ) )
= $true )
| ( ( cowlThing @ SV96 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(457,plain,
! [SV105: $i,SV97: $i,SV84: $i] :
( ( ( ( SV84 != SV97 )
| ~ ( rp @ SV84 @ SV105 ) )
= $true )
| ( ( rp @ SV97 @ SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(458,plain,
! [SV106: $i,SV98: $i,SV85: $i] :
( ( ( ( SV85 != SV98 )
| ~ ( rp @ SV106 @ SV85 ) )
= $true )
| ( ( rp @ SV106 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(459,plain,
! [SV107: $i,SV99: $i,SV86: $i] :
( ( ( ( SV86 != SV99 )
| ~ ( rq @ SV86 @ SV107 ) )
= $true )
| ( ( rq @ SV99 @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(460,plain,
! [SV108: $i,SV100: $i,SV87: $i] :
( ( ( ( SV87 != SV100 )
| ~ ( rq @ SV108 @ SV87 ) )
= $true )
| ( ( rq @ SV108 @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(461,plain,
! [SV101: $i,SV88: $i] :
( ( ( ( SV88 != SV101 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV88 ) )
= $true )
| ( ( xsd_integer @ SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(462,plain,
! [SV102: $i,SV89: $i] :
( ( ( ( SV89 != SV102 ) )
= $true )
| ( ( ~ ( xsd_string @ SV89 ) )
= $true )
| ( ( xsd_string @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(463,plain,
! [SV109: $i,SV103: $i,SV90: $i] :
( ( ( ~ ( rp @ SV90 @ SV103 )
| ~ ( rp @ SV90 @ SV109 ) )
= $true )
| ( ( SV103 = SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(464,plain,
! [SV110: $i,SV91: $i] :
( ( ( rp @ SV91 @ SV110 )
= $false )
| ( ( cd @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(465,plain,
! [SV111: $i,SV104: $i,SV92: $i] :
( ( ( ~ ( rq @ SV92 @ SV104 )
| ~ ( rq @ SV92 @ SV111 ) )
= $true )
| ( ( SV104 = SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(466,plain,
! [SV112: $i,SV93: $i] :
( ( ( rq @ SV93 @ SV112 )
= $false )
| ( ( cd @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(467,plain,
! [SV113: $i] :
( ( ~ ( xsd_string @ SV113 )
| ~ ( xsd_integer @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(468,plain,
! [SV114: $i] :
( ( ( xsd_integer @ SV114 )
| ( xsd_string @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(469,plain,
! [SV115: $i] :
( ( ~ ( cd @ SV115 )
| ( rp @ SV115 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(470,plain,
! [SV116: $i] :
( ( ~ ( rp @ SV116 @ iv )
| ( cd @ SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(471,plain,
! [SV117: $i] :
( ( cowlThing @ SV117 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(472,plain,
! [SV118: $i] :
( ( ~ ( cowlNothing @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(473,plain,
! [SV119: $i] :
( ( ~ ( cd @ SV119 )
| ( rq @ SV119 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(474,plain,
! [SV120: $i] :
( ( ~ ( rq @ SV120 @ iv )
| ( cd @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(475,plain,
! [SV94: $i,SV81: $i] :
( ( ( SV81 = SV94 )
= $false )
| ( ( ~ ( cd @ SV81 ) )
= $true )
| ( ( cd @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(476,plain,
! [SV95: $i,SV82: $i] :
( ( ( SV82 = SV95 )
= $false )
| ( ( ~ ( cowlNothing @ SV82 ) )
= $true )
| ( ( cowlNothing @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(477,plain,
! [SV96: $i,SV83: $i] :
( ( ( SV83 = SV96 )
= $false )
| ( ( ~ ( cowlThing @ SV83 ) )
= $true )
| ( ( cowlThing @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(478,plain,
! [SV105: $i,SV97: $i,SV84: $i] :
( ( ( ( SV84 != SV97 ) )
= $true )
| ( ( ~ ( rp @ SV84 @ SV105 ) )
= $true )
| ( ( rp @ SV97 @ SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(479,plain,
! [SV106: $i,SV98: $i,SV85: $i] :
( ( ( ( SV85 != SV98 ) )
= $true )
| ( ( ~ ( rp @ SV106 @ SV85 ) )
= $true )
| ( ( rp @ SV106 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(480,plain,
! [SV107: $i,SV99: $i,SV86: $i] :
( ( ( ( SV86 != SV99 ) )
= $true )
| ( ( ~ ( rq @ SV86 @ SV107 ) )
= $true )
| ( ( rq @ SV99 @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(481,plain,
! [SV108: $i,SV100: $i,SV87: $i] :
( ( ( ( SV87 != SV100 ) )
= $true )
| ( ( ~ ( rq @ SV108 @ SV87 ) )
= $true )
| ( ( rq @ SV108 @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(482,plain,
! [SV101: $i,SV88: $i] :
( ( ( SV88 = SV101 )
= $false )
| ( ( ~ ( xsd_integer @ SV88 ) )
= $true )
| ( ( xsd_integer @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(483,plain,
! [SV102: $i,SV89: $i] :
( ( ( SV89 = SV102 )
= $false )
| ( ( ~ ( xsd_string @ SV89 ) )
= $true )
| ( ( xsd_string @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(484,plain,
! [SV109: $i,SV103: $i,SV90: $i] :
( ( ( ~ ( rp @ SV90 @ SV103 ) )
= $true )
| ( ( ~ ( rp @ SV90 @ SV109 ) )
= $true )
| ( ( SV103 = SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(485,plain,
! [SV111: $i,SV104: $i,SV92: $i] :
( ( ( ~ ( rq @ SV92 @ SV104 ) )
= $true )
| ( ( ~ ( rq @ SV92 @ SV111 ) )
= $true )
| ( ( SV104 = SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(486,plain,
! [SV113: $i] :
( ( ( ~ ( xsd_string @ SV113 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(487,plain,
! [SV114: $i] :
( ( ( xsd_integer @ SV114 )
= $true )
| ( ( xsd_string @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(488,plain,
! [SV115: $i] :
( ( ( ~ ( cd @ SV115 ) )
= $true )
| ( ( rp @ SV115 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(489,plain,
! [SV116: $i] :
( ( ( ~ ( rp @ SV116 @ iv ) )
= $true )
| ( ( cd @ SV116 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(490,plain,
! [SV118: $i] :
( ( cowlNothing @ SV118 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(491,plain,
! [SV119: $i] :
( ( ( ~ ( cd @ SV119 ) )
= $true )
| ( ( rq @ SV119 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(492,plain,
! [SV120: $i] :
( ( ( ~ ( rq @ SV120 @ iv ) )
= $true )
| ( ( cd @ SV120 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(493,plain,
! [SV94: $i,SV81: $i] :
( ( ( cd @ SV81 )
= $false )
| ( ( SV81 = SV94 )
= $false )
| ( ( cd @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(494,plain,
! [SV95: $i,SV82: $i] :
( ( ( cowlNothing @ SV82 )
= $false )
| ( ( SV82 = SV95 )
= $false )
| ( ( cowlNothing @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(495,plain,
! [SV96: $i,SV83: $i] :
( ( ( cowlThing @ SV83 )
= $false )
| ( ( SV83 = SV96 )
= $false )
| ( ( cowlThing @ SV96 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(496,plain,
! [SV105: $i,SV97: $i,SV84: $i] :
( ( ( SV84 = SV97 )
= $false )
| ( ( ~ ( rp @ SV84 @ SV105 ) )
= $true )
| ( ( rp @ SV97 @ SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(497,plain,
! [SV106: $i,SV98: $i,SV85: $i] :
( ( ( SV85 = SV98 )
= $false )
| ( ( ~ ( rp @ SV106 @ SV85 ) )
= $true )
| ( ( rp @ SV106 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(498,plain,
! [SV107: $i,SV99: $i,SV86: $i] :
( ( ( SV86 = SV99 )
= $false )
| ( ( ~ ( rq @ SV86 @ SV107 ) )
= $true )
| ( ( rq @ SV99 @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(499,plain,
! [SV108: $i,SV100: $i,SV87: $i] :
( ( ( SV87 = SV100 )
= $false )
| ( ( ~ ( rq @ SV108 @ SV87 ) )
= $true )
| ( ( rq @ SV108 @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(500,plain,
! [SV101: $i,SV88: $i] :
( ( ( xsd_integer @ SV88 )
= $false )
| ( ( SV88 = SV101 )
= $false )
| ( ( xsd_integer @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(501,plain,
! [SV102: $i,SV89: $i] :
( ( ( xsd_string @ SV89 )
= $false )
| ( ( SV89 = SV102 )
= $false )
| ( ( xsd_string @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(502,plain,
! [SV109: $i,SV103: $i,SV90: $i] :
( ( ( rp @ SV90 @ SV103 )
= $false )
| ( ( ~ ( rp @ SV90 @ SV109 ) )
= $true )
| ( ( SV103 = SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(503,plain,
! [SV111: $i,SV104: $i,SV92: $i] :
( ( ( rq @ SV92 @ SV104 )
= $false )
| ( ( ~ ( rq @ SV92 @ SV111 ) )
= $true )
| ( ( SV104 = SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(504,plain,
! [SV113: $i] :
( ( ( xsd_string @ SV113 )
= $false )
| ( ( ~ ( xsd_integer @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(505,plain,
! [SV115: $i] :
( ( ( cd @ SV115 )
= $false )
| ( ( rp @ SV115 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(506,plain,
! [SV116: $i] :
( ( ( rp @ SV116 @ iv )
= $false )
| ( ( cd @ SV116 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(507,plain,
! [SV119: $i] :
( ( ( cd @ SV119 )
= $false )
| ( ( rq @ SV119 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(508,plain,
! [SV120: $i] :
( ( ( rq @ SV120 @ iv )
= $false )
| ( ( cd @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(509,plain,
! [SV97: $i,SV105: $i,SV84: $i] :
( ( ( rp @ SV84 @ SV105 )
= $false )
| ( ( SV84 = SV97 )
= $false )
| ( ( rp @ SV97 @ SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(510,plain,
! [SV98: $i,SV85: $i,SV106: $i] :
( ( ( rp @ SV106 @ SV85 )
= $false )
| ( ( SV85 = SV98 )
= $false )
| ( ( rp @ SV106 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(511,plain,
! [SV99: $i,SV107: $i,SV86: $i] :
( ( ( rq @ SV86 @ SV107 )
= $false )
| ( ( SV86 = SV99 )
= $false )
| ( ( rq @ SV99 @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(512,plain,
! [SV100: $i,SV87: $i,SV108: $i] :
( ( ( rq @ SV108 @ SV87 )
= $false )
| ( ( SV87 = SV100 )
= $false )
| ( ( rq @ SV108 @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(513,plain,
! [SV103: $i,SV109: $i,SV90: $i] :
( ( ( rp @ SV90 @ SV109 )
= $false )
| ( ( rp @ SV90 @ SV103 )
= $false )
| ( ( SV103 = SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(514,plain,
! [SV104: $i,SV111: $i,SV92: $i] :
( ( ( rq @ SV92 @ SV111 )
= $false )
| ( ( rq @ SV92 @ SV104 )
= $false )
| ( ( SV104 = SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(515,plain,
! [SV113: $i] :
( ( ( xsd_integer @ SV113 )
= $false )
| ( ( xsd_string @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(516,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[383,515,514,513,512,511,510,509,508,507,506,505,501,500,495,494,493,490,487,471,466,464,449,448]) ).
thf(517,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(518,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(519,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(520,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(521,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(522,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(523,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(524,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(525,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(526,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(527,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(528,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rq @ X @ iv ) )
& ! [X: $i] :
( ~ ( rq @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(529,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rp @ X @ iv ) )
& ! [X: $i] :
( ~ ( rp @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(530,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rp @ X @ Y )
| ~ ( rp @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(531,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rp @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(532,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rq @ X @ Y )
| ~ ( rq @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(533,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rq @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(534,plain,
( ( cowlThing @ iv )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(535,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(536,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[527]) ).
thf(537,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[528]) ).
thf(538,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[526]) ).
thf(539,plain,
( ( ~ ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[535]) ).
thf(540,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[529]) ).
thf(541,plain,
! [SV121: $i] :
( ( ! [SY117: $i] :
( ( SV121 != SY117 )
| ~ ( cd @ SV121 )
| ( cd @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(542,plain,
! [SV122: $i] :
( ( ! [SY118: $i] :
( ( SV122 != SY118 )
| ~ ( cowlNothing @ SV122 )
| ( cowlNothing @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(543,plain,
! [SV123: $i] :
( ( ! [SY119: $i] :
( ( SV123 != SY119 )
| ~ ( cowlThing @ SV123 )
| ( cowlThing @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(544,plain,
! [SV124: $i] :
( ( ! [SY120: $i,SY121: $i] :
( ( SV124 != SY120 )
| ~ ( rp @ SV124 @ SY121 )
| ( rp @ SY120 @ SY121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(545,plain,
! [SV125: $i] :
( ( ! [SY122: $i,SY123: $i] :
( ( SV125 != SY122 )
| ~ ( rp @ SY123 @ SV125 )
| ( rp @ SY123 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(546,plain,
! [SV126: $i] :
( ( ! [SY124: $i,SY125: $i] :
( ( SV126 != SY124 )
| ~ ( rq @ SV126 @ SY125 )
| ( rq @ SY124 @ SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(547,plain,
! [SV127: $i] :
( ( ! [SY126: $i,SY127: $i] :
( ( SV127 != SY126 )
| ~ ( rq @ SY127 @ SV127 )
| ( rq @ SY127 @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(548,plain,
! [SV128: $i] :
( ( ! [SY128: $i] :
( ( SV128 != SY128 )
| ~ ( xsd_integer @ SV128 )
| ( xsd_integer @ SY128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(549,plain,
! [SV129: $i] :
( ( ! [SY129: $i] :
( ( SV129 != SY129 )
| ~ ( xsd_string @ SV129 )
| ( xsd_string @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(550,plain,
! [SV130: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ~ ( rp @ SV130 @ SY130 )
| ~ ( rp @ SV130 @ SY131 )
| ( SY130 = SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(551,plain,
! [SV131: $i] :
( ( ! [SY132: $i] :
~ ( rp @ SV131 @ SY132 )
| ( cd @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(552,plain,
! [SV132: $i] :
( ( ! [SY133: $i,SY134: $i] :
( ~ ( rq @ SV132 @ SY133 )
| ~ ( rq @ SV132 @ SY134 )
| ( SY133 = SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(553,plain,
! [SV133: $i] :
( ( ! [SY135: $i] :
~ ( rq @ SV133 @ SY135 )
| ( cd @ SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(554,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(555,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(556,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(557,plain,
( ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(558,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(559,plain,
! [SV134: $i,SV121: $i] :
( ( ( SV121 != SV134 )
| ~ ( cd @ SV121 )
| ( cd @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(560,plain,
! [SV135: $i,SV122: $i] :
( ( ( SV122 != SV135 )
| ~ ( cowlNothing @ SV122 )
| ( cowlNothing @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(561,plain,
! [SV136: $i,SV123: $i] :
( ( ( SV123 != SV136 )
| ~ ( cowlThing @ SV123 )
| ( cowlThing @ SV136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(562,plain,
! [SV137: $i,SV124: $i] :
( ( ! [SY136: $i] :
( ( SV124 != SV137 )
| ~ ( rp @ SV124 @ SY136 )
| ( rp @ SV137 @ SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(563,plain,
! [SV138: $i,SV125: $i] :
( ( ! [SY137: $i] :
( ( SV125 != SV138 )
| ~ ( rp @ SY137 @ SV125 )
| ( rp @ SY137 @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(564,plain,
! [SV139: $i,SV126: $i] :
( ( ! [SY138: $i] :
( ( SV126 != SV139 )
| ~ ( rq @ SV126 @ SY138 )
| ( rq @ SV139 @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(565,plain,
! [SV140: $i,SV127: $i] :
( ( ! [SY139: $i] :
( ( SV127 != SV140 )
| ~ ( rq @ SY139 @ SV127 )
| ( rq @ SY139 @ SV140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(566,plain,
! [SV141: $i,SV128: $i] :
( ( ( SV128 != SV141 )
| ~ ( xsd_integer @ SV128 )
| ( xsd_integer @ SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(567,plain,
! [SV142: $i,SV129: $i] :
( ( ( SV129 != SV142 )
| ~ ( xsd_string @ SV129 )
| ( xsd_string @ SV142 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(568,plain,
! [SV143: $i,SV130: $i] :
( ( ! [SY140: $i] :
( ~ ( rp @ SV130 @ SV143 )
| ~ ( rp @ SV130 @ SY140 )
| ( SV143 = SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(569,plain,
! [SV131: $i] :
( ( ( ! [SY132: $i] :
~ ( rp @ SV131 @ SY132 ) )
= $true )
| ( ( cd @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(570,plain,
! [SV144: $i,SV132: $i] :
( ( ! [SY141: $i] :
( ~ ( rq @ SV132 @ SV144 )
| ~ ( rq @ SV132 @ SY141 )
| ( SV144 = SY141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(571,plain,
! [SV133: $i] :
( ( ( ! [SY135: $i] :
~ ( rq @ SV133 @ SY135 ) )
= $true )
| ( ( cd @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(572,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(573,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(574,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(575,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(576,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(577,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(578,plain,
( ( ~ ~ ( xsd_integer @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(579,plain,
( ( ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(580,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(581,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(582,plain,
! [SV134: $i,SV121: $i] :
( ( ( ( SV121 != SV134 )
| ~ ( cd @ SV121 ) )
= $true )
| ( ( cd @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(583,plain,
! [SV135: $i,SV122: $i] :
( ( ( ( SV122 != SV135 )
| ~ ( cowlNothing @ SV122 ) )
= $true )
| ( ( cowlNothing @ SV135 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(584,plain,
! [SV136: $i,SV123: $i] :
( ( ( ( SV123 != SV136 )
| ~ ( cowlThing @ SV123 ) )
= $true )
| ( ( cowlThing @ SV136 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(585,plain,
! [SV145: $i,SV137: $i,SV124: $i] :
( ( ( SV124 != SV137 )
| ~ ( rp @ SV124 @ SV145 )
| ( rp @ SV137 @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(586,plain,
! [SV146: $i,SV138: $i,SV125: $i] :
( ( ( SV125 != SV138 )
| ~ ( rp @ SV146 @ SV125 )
| ( rp @ SV146 @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(587,plain,
! [SV147: $i,SV139: $i,SV126: $i] :
( ( ( SV126 != SV139 )
| ~ ( rq @ SV126 @ SV147 )
| ( rq @ SV139 @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(588,plain,
! [SV148: $i,SV140: $i,SV127: $i] :
( ( ( SV127 != SV140 )
| ~ ( rq @ SV148 @ SV127 )
| ( rq @ SV148 @ SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(589,plain,
! [SV141: $i,SV128: $i] :
( ( ( ( SV128 != SV141 )
| ~ ( xsd_integer @ SV128 ) )
= $true )
| ( ( xsd_integer @ SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(590,plain,
! [SV142: $i,SV129: $i] :
( ( ( ( SV129 != SV142 )
| ~ ( xsd_string @ SV129 ) )
= $true )
| ( ( xsd_string @ SV142 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(591,plain,
! [SV149: $i,SV143: $i,SV130: $i] :
( ( ~ ( rp @ SV130 @ SV143 )
| ~ ( rp @ SV130 @ SV149 )
| ( SV143 = SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(592,plain,
! [SV150: $i,SV131: $i] :
( ( ( ~ ( rp @ SV131 @ SV150 ) )
= $true )
| ( ( cd @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(593,plain,
! [SV151: $i,SV144: $i,SV132: $i] :
( ( ~ ( rq @ SV132 @ SV144 )
| ~ ( rq @ SV132 @ SV151 )
| ( SV144 = SV151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(594,plain,
! [SV152: $i,SV133: $i] :
( ( ( ~ ( rq @ SV133 @ SV152 ) )
= $true )
| ( ( cd @ SV133 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(595,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(596,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(597,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(598,plain,
( ( ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(599,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(600,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(601,plain,
( ( ~ ( xsd_integer @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(602,plain,
( ( ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(603,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(604,plain,
( ( ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(605,plain,
! [SV134: $i,SV121: $i] :
( ( ( ( SV121 != SV134 ) )
= $true )
| ( ( ~ ( cd @ SV121 ) )
= $true )
| ( ( cd @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(606,plain,
! [SV135: $i,SV122: $i] :
( ( ( ( SV122 != SV135 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV122 ) )
= $true )
| ( ( cowlNothing @ SV135 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(607,plain,
! [SV136: $i,SV123: $i] :
( ( ( ( SV123 != SV136 ) )
= $true )
| ( ( ~ ( cowlThing @ SV123 ) )
= $true )
| ( ( cowlThing @ SV136 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(608,plain,
! [SV145: $i,SV137: $i,SV124: $i] :
( ( ( ( SV124 != SV137 )
| ~ ( rp @ SV124 @ SV145 ) )
= $true )
| ( ( rp @ SV137 @ SV145 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[585]) ).
thf(609,plain,
! [SV146: $i,SV138: $i,SV125: $i] :
( ( ( ( SV125 != SV138 )
| ~ ( rp @ SV146 @ SV125 ) )
= $true )
| ( ( rp @ SV146 @ SV138 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(610,plain,
! [SV147: $i,SV139: $i,SV126: $i] :
( ( ( ( SV126 != SV139 )
| ~ ( rq @ SV126 @ SV147 ) )
= $true )
| ( ( rq @ SV139 @ SV147 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[587]) ).
thf(611,plain,
! [SV148: $i,SV140: $i,SV127: $i] :
( ( ( ( SV127 != SV140 )
| ~ ( rq @ SV148 @ SV127 ) )
= $true )
| ( ( rq @ SV148 @ SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(612,plain,
! [SV141: $i,SV128: $i] :
( ( ( ( SV128 != SV141 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV128 ) )
= $true )
| ( ( xsd_integer @ SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(613,plain,
! [SV142: $i,SV129: $i] :
( ( ( ( SV129 != SV142 ) )
= $true )
| ( ( ~ ( xsd_string @ SV129 ) )
= $true )
| ( ( xsd_string @ SV142 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(614,plain,
! [SV149: $i,SV143: $i,SV130: $i] :
( ( ( ~ ( rp @ SV130 @ SV143 )
| ~ ( rp @ SV130 @ SV149 ) )
= $true )
| ( ( SV143 = SV149 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(615,plain,
! [SV150: $i,SV131: $i] :
( ( ( rp @ SV131 @ SV150 )
= $false )
| ( ( cd @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(616,plain,
! [SV151: $i,SV144: $i,SV132: $i] :
( ( ( ~ ( rq @ SV132 @ SV144 )
| ~ ( rq @ SV132 @ SV151 ) )
= $true )
| ( ( SV144 = SV151 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(617,plain,
! [SV152: $i,SV133: $i] :
( ( ( rq @ SV133 @ SV152 )
= $false )
| ( ( cd @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(618,plain,
! [SV153: $i] :
( ( ~ ( xsd_string @ SV153 )
| ~ ( xsd_integer @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(619,plain,
! [SV154: $i] :
( ( ( xsd_integer @ SV154 )
| ( xsd_string @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(620,plain,
! [SV155: $i] :
( ( ~ ( cd @ SV155 )
| ( rq @ SV155 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(621,plain,
! [SV156: $i] :
( ( ~ ( rq @ SV156 @ iv )
| ( cd @ SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(622,plain,
! [SV157: $i] :
( ( cowlThing @ SV157 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(623,plain,
! [SV158: $i] :
( ( ~ ( cowlNothing @ SV158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(624,plain,
( ( xsd_integer @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(625,plain,
( ( xsd_string @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(626,plain,
! [SV159: $i] :
( ( ~ ( cd @ SV159 )
| ( rp @ SV159 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(627,plain,
! [SV160: $i] :
( ( ~ ( rp @ SV160 @ iv )
| ( cd @ SV160 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(628,plain,
! [SV134: $i,SV121: $i] :
( ( ( SV121 = SV134 )
= $false )
| ( ( ~ ( cd @ SV121 ) )
= $true )
| ( ( cd @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(629,plain,
! [SV135: $i,SV122: $i] :
( ( ( SV122 = SV135 )
= $false )
| ( ( ~ ( cowlNothing @ SV122 ) )
= $true )
| ( ( cowlNothing @ SV135 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(630,plain,
! [SV136: $i,SV123: $i] :
( ( ( SV123 = SV136 )
= $false )
| ( ( ~ ( cowlThing @ SV123 ) )
= $true )
| ( ( cowlThing @ SV136 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(631,plain,
! [SV145: $i,SV137: $i,SV124: $i] :
( ( ( ( SV124 != SV137 ) )
= $true )
| ( ( ~ ( rp @ SV124 @ SV145 ) )
= $true )
| ( ( rp @ SV137 @ SV145 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(632,plain,
! [SV146: $i,SV138: $i,SV125: $i] :
( ( ( ( SV125 != SV138 ) )
= $true )
| ( ( ~ ( rp @ SV146 @ SV125 ) )
= $true )
| ( ( rp @ SV146 @ SV138 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(633,plain,
! [SV147: $i,SV139: $i,SV126: $i] :
( ( ( ( SV126 != SV139 ) )
= $true )
| ( ( ~ ( rq @ SV126 @ SV147 ) )
= $true )
| ( ( rq @ SV139 @ SV147 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(634,plain,
! [SV148: $i,SV140: $i,SV127: $i] :
( ( ( ( SV127 != SV140 ) )
= $true )
| ( ( ~ ( rq @ SV148 @ SV127 ) )
= $true )
| ( ( rq @ SV148 @ SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(635,plain,
! [SV141: $i,SV128: $i] :
( ( ( SV128 = SV141 )
= $false )
| ( ( ~ ( xsd_integer @ SV128 ) )
= $true )
| ( ( xsd_integer @ SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(636,plain,
! [SV142: $i,SV129: $i] :
( ( ( SV129 = SV142 )
= $false )
| ( ( ~ ( xsd_string @ SV129 ) )
= $true )
| ( ( xsd_string @ SV142 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(637,plain,
! [SV149: $i,SV143: $i,SV130: $i] :
( ( ( ~ ( rp @ SV130 @ SV143 ) )
= $true )
| ( ( ~ ( rp @ SV130 @ SV149 ) )
= $true )
| ( ( SV143 = SV149 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[614]) ).
thf(638,plain,
! [SV151: $i,SV144: $i,SV132: $i] :
( ( ( ~ ( rq @ SV132 @ SV144 ) )
= $true )
| ( ( ~ ( rq @ SV132 @ SV151 ) )
= $true )
| ( ( SV144 = SV151 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(639,plain,
! [SV153: $i] :
( ( ( ~ ( xsd_string @ SV153 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(640,plain,
! [SV154: $i] :
( ( ( xsd_integer @ SV154 )
= $true )
| ( ( xsd_string @ SV154 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(641,plain,
! [SV155: $i] :
( ( ( ~ ( cd @ SV155 ) )
= $true )
| ( ( rq @ SV155 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(642,plain,
! [SV156: $i] :
( ( ( ~ ( rq @ SV156 @ iv ) )
= $true )
| ( ( cd @ SV156 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(643,plain,
! [SV158: $i] :
( ( cowlNothing @ SV158 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(644,plain,
! [SV159: $i] :
( ( ( ~ ( cd @ SV159 ) )
= $true )
| ( ( rp @ SV159 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(645,plain,
! [SV160: $i] :
( ( ( ~ ( rp @ SV160 @ iv ) )
= $true )
| ( ( cd @ SV160 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(646,plain,
! [SV134: $i,SV121: $i] :
( ( ( cd @ SV121 )
= $false )
| ( ( SV121 = SV134 )
= $false )
| ( ( cd @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(647,plain,
! [SV135: $i,SV122: $i] :
( ( ( cowlNothing @ SV122 )
= $false )
| ( ( SV122 = SV135 )
= $false )
| ( ( cowlNothing @ SV135 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[629]) ).
thf(648,plain,
! [SV136: $i,SV123: $i] :
( ( ( cowlThing @ SV123 )
= $false )
| ( ( SV123 = SV136 )
= $false )
| ( ( cowlThing @ SV136 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(649,plain,
! [SV145: $i,SV137: $i,SV124: $i] :
( ( ( SV124 = SV137 )
= $false )
| ( ( ~ ( rp @ SV124 @ SV145 ) )
= $true )
| ( ( rp @ SV137 @ SV145 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(650,plain,
! [SV146: $i,SV138: $i,SV125: $i] :
( ( ( SV125 = SV138 )
= $false )
| ( ( ~ ( rp @ SV146 @ SV125 ) )
= $true )
| ( ( rp @ SV146 @ SV138 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(651,plain,
! [SV147: $i,SV139: $i,SV126: $i] :
( ( ( SV126 = SV139 )
= $false )
| ( ( ~ ( rq @ SV126 @ SV147 ) )
= $true )
| ( ( rq @ SV139 @ SV147 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(652,plain,
! [SV148: $i,SV140: $i,SV127: $i] :
( ( ( SV127 = SV140 )
= $false )
| ( ( ~ ( rq @ SV148 @ SV127 ) )
= $true )
| ( ( rq @ SV148 @ SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(653,plain,
! [SV141: $i,SV128: $i] :
( ( ( xsd_integer @ SV128 )
= $false )
| ( ( SV128 = SV141 )
= $false )
| ( ( xsd_integer @ SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(654,plain,
! [SV142: $i,SV129: $i] :
( ( ( xsd_string @ SV129 )
= $false )
| ( ( SV129 = SV142 )
= $false )
| ( ( xsd_string @ SV142 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(655,plain,
! [SV149: $i,SV143: $i,SV130: $i] :
( ( ( rp @ SV130 @ SV143 )
= $false )
| ( ( ~ ( rp @ SV130 @ SV149 ) )
= $true )
| ( ( SV143 = SV149 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(656,plain,
! [SV151: $i,SV144: $i,SV132: $i] :
( ( ( rq @ SV132 @ SV144 )
= $false )
| ( ( ~ ( rq @ SV132 @ SV151 ) )
= $true )
| ( ( SV144 = SV151 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(657,plain,
! [SV153: $i] :
( ( ( xsd_string @ SV153 )
= $false )
| ( ( ~ ( xsd_integer @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(658,plain,
! [SV155: $i] :
( ( ( cd @ SV155 )
= $false )
| ( ( rq @ SV155 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(659,plain,
! [SV156: $i] :
( ( ( rq @ SV156 @ iv )
= $false )
| ( ( cd @ SV156 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(660,plain,
! [SV159: $i] :
( ( ( cd @ SV159 )
= $false )
| ( ( rp @ SV159 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(661,plain,
! [SV160: $i] :
( ( ( rp @ SV160 @ iv )
= $false )
| ( ( cd @ SV160 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(662,plain,
! [SV137: $i,SV145: $i,SV124: $i] :
( ( ( rp @ SV124 @ SV145 )
= $false )
| ( ( SV124 = SV137 )
= $false )
| ( ( rp @ SV137 @ SV145 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(663,plain,
! [SV138: $i,SV125: $i,SV146: $i] :
( ( ( rp @ SV146 @ SV125 )
= $false )
| ( ( SV125 = SV138 )
= $false )
| ( ( rp @ SV146 @ SV138 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(664,plain,
! [SV139: $i,SV147: $i,SV126: $i] :
( ( ( rq @ SV126 @ SV147 )
= $false )
| ( ( SV126 = SV139 )
= $false )
| ( ( rq @ SV139 @ SV147 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(665,plain,
! [SV140: $i,SV127: $i,SV148: $i] :
( ( ( rq @ SV148 @ SV127 )
= $false )
| ( ( SV127 = SV140 )
= $false )
| ( ( rq @ SV148 @ SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(666,plain,
! [SV143: $i,SV149: $i,SV130: $i] :
( ( ( rp @ SV130 @ SV149 )
= $false )
| ( ( rp @ SV130 @ SV143 )
= $false )
| ( ( SV143 = SV149 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(667,plain,
! [SV144: $i,SV151: $i,SV132: $i] :
( ( ( rq @ SV132 @ SV151 )
= $false )
| ( ( rq @ SV132 @ SV144 )
= $false )
| ( ( SV144 = SV151 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(668,plain,
! [SV153: $i] :
( ( ( xsd_integer @ SV153 )
= $false )
| ( ( xsd_string @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(669,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[534,668,667,666,665,664,663,662,661,660,659,658,654,653,648,647,646,643,640,625,624,622,617,615]) ).
thf(670,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(671,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(672,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(673,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(674,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(675,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(676,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(677,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(678,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(679,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(680,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(681,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rq @ X @ iv ) )
& ! [X: $i] :
( ~ ( rq @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(682,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rp @ X @ iv ) )
& ! [X: $i] :
( ~ ( rp @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(683,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rp @ X @ Y )
| ~ ( rp @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(684,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rp @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(685,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rq @ X @ Y )
| ~ ( rq @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(686,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rq @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(687,plain,
( ( cowlThing @ iv )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(688,plain,
( ( ( rq @ sK5_X @ sK6_SY40 )
& ~ ( rp @ sK5_X @ sK6_SY40 ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(689,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[679]) ).
thf(690,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[682]) ).
thf(691,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[680]) ).
thf(692,plain,
( ( ~ ( ~ ( rq @ sK5_X @ sK6_SY40 )
| ~ ~ ( rp @ sK5_X @ sK6_SY40 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[688]) ).
thf(693,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[681]) ).
thf(694,plain,
! [SV161: $i] :
( ( ! [SY142: $i] :
( ( SV161 != SY142 )
| ~ ( cd @ SV161 )
| ( cd @ SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(695,plain,
! [SV162: $i] :
( ( ! [SY143: $i] :
( ( SV162 != SY143 )
| ~ ( cowlNothing @ SV162 )
| ( cowlNothing @ SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(696,plain,
! [SV163: $i] :
( ( ! [SY144: $i] :
( ( SV163 != SY144 )
| ~ ( cowlThing @ SV163 )
| ( cowlThing @ SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(697,plain,
! [SV164: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ( SV164 != SY145 )
| ~ ( rp @ SV164 @ SY146 )
| ( rp @ SY145 @ SY146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(698,plain,
! [SV165: $i] :
( ( ! [SY147: $i,SY148: $i] :
( ( SV165 != SY147 )
| ~ ( rp @ SY148 @ SV165 )
| ( rp @ SY148 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(699,plain,
! [SV166: $i] :
( ( ! [SY149: $i,SY150: $i] :
( ( SV166 != SY149 )
| ~ ( rq @ SV166 @ SY150 )
| ( rq @ SY149 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(700,plain,
! [SV167: $i] :
( ( ! [SY151: $i,SY152: $i] :
( ( SV167 != SY151 )
| ~ ( rq @ SY152 @ SV167 )
| ( rq @ SY152 @ SY151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(701,plain,
! [SV168: $i] :
( ( ! [SY153: $i] :
( ( SV168 != SY153 )
| ~ ( xsd_integer @ SV168 )
| ( xsd_integer @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(702,plain,
! [SV169: $i] :
( ( ! [SY154: $i] :
( ( SV169 != SY154 )
| ~ ( xsd_string @ SV169 )
| ( xsd_string @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(703,plain,
! [SV170: $i] :
( ( ! [SY155: $i,SY156: $i] :
( ~ ( rp @ SV170 @ SY155 )
| ~ ( rp @ SV170 @ SY156 )
| ( SY155 = SY156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(704,plain,
! [SV171: $i] :
( ( ! [SY157: $i] :
~ ( rp @ SV171 @ SY157 )
| ( cd @ SV171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(705,plain,
! [SV172: $i] :
( ( ! [SY158: $i,SY159: $i] :
( ~ ( rq @ SV172 @ SY158 )
| ~ ( rq @ SV172 @ SY159 )
| ( SY158 = SY159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(706,plain,
! [SV173: $i] :
( ( ! [SY160: $i] :
~ ( rq @ SV173 @ SY160 )
| ( cd @ SV173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(707,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(708,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(709,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(710,plain,
( ( ~ ( rq @ sK5_X @ sK6_SY40 )
| ~ ~ ( rp @ sK5_X @ sK6_SY40 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(711,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(712,plain,
! [SV174: $i,SV161: $i] :
( ( ( SV161 != SV174 )
| ~ ( cd @ SV161 )
| ( cd @ SV174 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(713,plain,
! [SV175: $i,SV162: $i] :
( ( ( SV162 != SV175 )
| ~ ( cowlNothing @ SV162 )
| ( cowlNothing @ SV175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(714,plain,
! [SV176: $i,SV163: $i] :
( ( ( SV163 != SV176 )
| ~ ( cowlThing @ SV163 )
| ( cowlThing @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(715,plain,
! [SV177: $i,SV164: $i] :
( ( ! [SY161: $i] :
( ( SV164 != SV177 )
| ~ ( rp @ SV164 @ SY161 )
| ( rp @ SV177 @ SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(716,plain,
! [SV178: $i,SV165: $i] :
( ( ! [SY162: $i] :
( ( SV165 != SV178 )
| ~ ( rp @ SY162 @ SV165 )
| ( rp @ SY162 @ SV178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(717,plain,
! [SV179: $i,SV166: $i] :
( ( ! [SY163: $i] :
( ( SV166 != SV179 )
| ~ ( rq @ SV166 @ SY163 )
| ( rq @ SV179 @ SY163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(718,plain,
! [SV180: $i,SV167: $i] :
( ( ! [SY164: $i] :
( ( SV167 != SV180 )
| ~ ( rq @ SY164 @ SV167 )
| ( rq @ SY164 @ SV180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(719,plain,
! [SV181: $i,SV168: $i] :
( ( ( SV168 != SV181 )
| ~ ( xsd_integer @ SV168 )
| ( xsd_integer @ SV181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(720,plain,
! [SV182: $i,SV169: $i] :
( ( ( SV169 != SV182 )
| ~ ( xsd_string @ SV169 )
| ( xsd_string @ SV182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(721,plain,
! [SV183: $i,SV170: $i] :
( ( ! [SY165: $i] :
( ~ ( rp @ SV170 @ SV183 )
| ~ ( rp @ SV170 @ SY165 )
| ( SV183 = SY165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(722,plain,
! [SV171: $i] :
( ( ( ! [SY157: $i] :
~ ( rp @ SV171 @ SY157 ) )
= $true )
| ( ( cd @ SV171 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(723,plain,
! [SV184: $i,SV172: $i] :
( ( ! [SY166: $i] :
( ~ ( rq @ SV172 @ SV184 )
| ~ ( rq @ SV172 @ SY166 )
| ( SV184 = SY166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(724,plain,
! [SV173: $i] :
( ( ( ! [SY160: $i] :
~ ( rq @ SV173 @ SY160 ) )
= $true )
| ( ( cd @ SV173 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(725,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(726,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(727,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(728,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(729,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(730,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(731,plain,
( ( ~ ( rq @ sK5_X @ sK6_SY40 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(732,plain,
( ( ~ ~ ( rp @ sK5_X @ sK6_SY40 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(733,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(734,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(735,plain,
! [SV174: $i,SV161: $i] :
( ( ( ( SV161 != SV174 )
| ~ ( cd @ SV161 ) )
= $true )
| ( ( cd @ SV174 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(736,plain,
! [SV175: $i,SV162: $i] :
( ( ( ( SV162 != SV175 )
| ~ ( cowlNothing @ SV162 ) )
= $true )
| ( ( cowlNothing @ SV175 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(737,plain,
! [SV176: $i,SV163: $i] :
( ( ( ( SV163 != SV176 )
| ~ ( cowlThing @ SV163 ) )
= $true )
| ( ( cowlThing @ SV176 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(738,plain,
! [SV185: $i,SV177: $i,SV164: $i] :
( ( ( SV164 != SV177 )
| ~ ( rp @ SV164 @ SV185 )
| ( rp @ SV177 @ SV185 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(739,plain,
! [SV186: $i,SV178: $i,SV165: $i] :
( ( ( SV165 != SV178 )
| ~ ( rp @ SV186 @ SV165 )
| ( rp @ SV186 @ SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(740,plain,
! [SV187: $i,SV179: $i,SV166: $i] :
( ( ( SV166 != SV179 )
| ~ ( rq @ SV166 @ SV187 )
| ( rq @ SV179 @ SV187 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(741,plain,
! [SV188: $i,SV180: $i,SV167: $i] :
( ( ( SV167 != SV180 )
| ~ ( rq @ SV188 @ SV167 )
| ( rq @ SV188 @ SV180 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(742,plain,
! [SV181: $i,SV168: $i] :
( ( ( ( SV168 != SV181 )
| ~ ( xsd_integer @ SV168 ) )
= $true )
| ( ( xsd_integer @ SV181 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(743,plain,
! [SV182: $i,SV169: $i] :
( ( ( ( SV169 != SV182 )
| ~ ( xsd_string @ SV169 ) )
= $true )
| ( ( xsd_string @ SV182 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(744,plain,
! [SV189: $i,SV183: $i,SV170: $i] :
( ( ~ ( rp @ SV170 @ SV183 )
| ~ ( rp @ SV170 @ SV189 )
| ( SV183 = SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(745,plain,
! [SV190: $i,SV171: $i] :
( ( ( ~ ( rp @ SV171 @ SV190 ) )
= $true )
| ( ( cd @ SV171 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(746,plain,
! [SV191: $i,SV184: $i,SV172: $i] :
( ( ~ ( rq @ SV172 @ SV184 )
| ~ ( rq @ SV172 @ SV191 )
| ( SV184 = SV191 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(747,plain,
! [SV192: $i,SV173: $i] :
( ( ( ~ ( rq @ SV173 @ SV192 ) )
= $true )
| ( ( cd @ SV173 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(748,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(749,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(750,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(751,plain,
( ( ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(752,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(753,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(754,plain,
( ( rq @ sK5_X @ sK6_SY40 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(755,plain,
( ( ~ ( rp @ sK5_X @ sK6_SY40 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(756,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(757,plain,
( ( ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[734]) ).
thf(758,plain,
! [SV174: $i,SV161: $i] :
( ( ( ( SV161 != SV174 ) )
= $true )
| ( ( ~ ( cd @ SV161 ) )
= $true )
| ( ( cd @ SV174 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(759,plain,
! [SV175: $i,SV162: $i] :
( ( ( ( SV162 != SV175 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV162 ) )
= $true )
| ( ( cowlNothing @ SV175 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(760,plain,
! [SV176: $i,SV163: $i] :
( ( ( ( SV163 != SV176 ) )
= $true )
| ( ( ~ ( cowlThing @ SV163 ) )
= $true )
| ( ( cowlThing @ SV176 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(761,plain,
! [SV185: $i,SV177: $i,SV164: $i] :
( ( ( ( SV164 != SV177 )
| ~ ( rp @ SV164 @ SV185 ) )
= $true )
| ( ( rp @ SV177 @ SV185 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(762,plain,
! [SV186: $i,SV178: $i,SV165: $i] :
( ( ( ( SV165 != SV178 )
| ~ ( rp @ SV186 @ SV165 ) )
= $true )
| ( ( rp @ SV186 @ SV178 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(763,plain,
! [SV187: $i,SV179: $i,SV166: $i] :
( ( ( ( SV166 != SV179 )
| ~ ( rq @ SV166 @ SV187 ) )
= $true )
| ( ( rq @ SV179 @ SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(764,plain,
! [SV188: $i,SV180: $i,SV167: $i] :
( ( ( ( SV167 != SV180 )
| ~ ( rq @ SV188 @ SV167 ) )
= $true )
| ( ( rq @ SV188 @ SV180 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(765,plain,
! [SV181: $i,SV168: $i] :
( ( ( ( SV168 != SV181 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV168 ) )
= $true )
| ( ( xsd_integer @ SV181 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(766,plain,
! [SV182: $i,SV169: $i] :
( ( ( ( SV169 != SV182 ) )
= $true )
| ( ( ~ ( xsd_string @ SV169 ) )
= $true )
| ( ( xsd_string @ SV182 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(767,plain,
! [SV189: $i,SV183: $i,SV170: $i] :
( ( ( ~ ( rp @ SV170 @ SV183 )
| ~ ( rp @ SV170 @ SV189 ) )
= $true )
| ( ( SV183 = SV189 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(768,plain,
! [SV190: $i,SV171: $i] :
( ( ( rp @ SV171 @ SV190 )
= $false )
| ( ( cd @ SV171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(769,plain,
! [SV191: $i,SV184: $i,SV172: $i] :
( ( ( ~ ( rq @ SV172 @ SV184 )
| ~ ( rq @ SV172 @ SV191 ) )
= $true )
| ( ( SV184 = SV191 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(770,plain,
! [SV192: $i,SV173: $i] :
( ( ( rq @ SV173 @ SV192 )
= $false )
| ( ( cd @ SV173 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(771,plain,
! [SV193: $i] :
( ( cowlThing @ SV193 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(772,plain,
! [SV194: $i] :
( ( ~ ( cowlNothing @ SV194 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(773,plain,
! [SV195: $i] :
( ( ~ ( cd @ SV195 )
| ( rp @ SV195 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(774,plain,
! [SV196: $i] :
( ( ~ ( rp @ SV196 @ iv )
| ( cd @ SV196 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(775,plain,
! [SV197: $i] :
( ( ~ ( xsd_string @ SV197 )
| ~ ( xsd_integer @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(776,plain,
! [SV198: $i] :
( ( ( xsd_integer @ SV198 )
| ( xsd_string @ SV198 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(777,plain,
( ( rp @ sK5_X @ sK6_SY40 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(778,plain,
! [SV199: $i] :
( ( ~ ( cd @ SV199 )
| ( rq @ SV199 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(779,plain,
! [SV200: $i] :
( ( ~ ( rq @ SV200 @ iv )
| ( cd @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(780,plain,
! [SV174: $i,SV161: $i] :
( ( ( SV161 = SV174 )
= $false )
| ( ( ~ ( cd @ SV161 ) )
= $true )
| ( ( cd @ SV174 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(781,plain,
! [SV175: $i,SV162: $i] :
( ( ( SV162 = SV175 )
= $false )
| ( ( ~ ( cowlNothing @ SV162 ) )
= $true )
| ( ( cowlNothing @ SV175 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(782,plain,
! [SV176: $i,SV163: $i] :
( ( ( SV163 = SV176 )
= $false )
| ( ( ~ ( cowlThing @ SV163 ) )
= $true )
| ( ( cowlThing @ SV176 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(783,plain,
! [SV185: $i,SV177: $i,SV164: $i] :
( ( ( ( SV164 != SV177 ) )
= $true )
| ( ( ~ ( rp @ SV164 @ SV185 ) )
= $true )
| ( ( rp @ SV177 @ SV185 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(784,plain,
! [SV186: $i,SV178: $i,SV165: $i] :
( ( ( ( SV165 != SV178 ) )
= $true )
| ( ( ~ ( rp @ SV186 @ SV165 ) )
= $true )
| ( ( rp @ SV186 @ SV178 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(785,plain,
! [SV187: $i,SV179: $i,SV166: $i] :
( ( ( ( SV166 != SV179 ) )
= $true )
| ( ( ~ ( rq @ SV166 @ SV187 ) )
= $true )
| ( ( rq @ SV179 @ SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(786,plain,
! [SV188: $i,SV180: $i,SV167: $i] :
( ( ( ( SV167 != SV180 ) )
= $true )
| ( ( ~ ( rq @ SV188 @ SV167 ) )
= $true )
| ( ( rq @ SV188 @ SV180 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(787,plain,
! [SV181: $i,SV168: $i] :
( ( ( SV168 = SV181 )
= $false )
| ( ( ~ ( xsd_integer @ SV168 ) )
= $true )
| ( ( xsd_integer @ SV181 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(788,plain,
! [SV182: $i,SV169: $i] :
( ( ( SV169 = SV182 )
= $false )
| ( ( ~ ( xsd_string @ SV169 ) )
= $true )
| ( ( xsd_string @ SV182 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(789,plain,
! [SV189: $i,SV183: $i,SV170: $i] :
( ( ( ~ ( rp @ SV170 @ SV183 ) )
= $true )
| ( ( ~ ( rp @ SV170 @ SV189 ) )
= $true )
| ( ( SV183 = SV189 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(790,plain,
! [SV191: $i,SV184: $i,SV172: $i] :
( ( ( ~ ( rq @ SV172 @ SV184 ) )
= $true )
| ( ( ~ ( rq @ SV172 @ SV191 ) )
= $true )
| ( ( SV184 = SV191 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(791,plain,
! [SV194: $i] :
( ( cowlNothing @ SV194 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(792,plain,
! [SV195: $i] :
( ( ( ~ ( cd @ SV195 ) )
= $true )
| ( ( rp @ SV195 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(793,plain,
! [SV196: $i] :
( ( ( ~ ( rp @ SV196 @ iv ) )
= $true )
| ( ( cd @ SV196 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(794,plain,
! [SV197: $i] :
( ( ( ~ ( xsd_string @ SV197 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV197 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(795,plain,
! [SV198: $i] :
( ( ( xsd_integer @ SV198 )
= $true )
| ( ( xsd_string @ SV198 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(796,plain,
! [SV199: $i] :
( ( ( ~ ( cd @ SV199 ) )
= $true )
| ( ( rq @ SV199 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(797,plain,
! [SV200: $i] :
( ( ( ~ ( rq @ SV200 @ iv ) )
= $true )
| ( ( cd @ SV200 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(798,plain,
! [SV174: $i,SV161: $i] :
( ( ( cd @ SV161 )
= $false )
| ( ( SV161 = SV174 )
= $false )
| ( ( cd @ SV174 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(799,plain,
! [SV175: $i,SV162: $i] :
( ( ( cowlNothing @ SV162 )
= $false )
| ( ( SV162 = SV175 )
= $false )
| ( ( cowlNothing @ SV175 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(800,plain,
! [SV176: $i,SV163: $i] :
( ( ( cowlThing @ SV163 )
= $false )
| ( ( SV163 = SV176 )
= $false )
| ( ( cowlThing @ SV176 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(801,plain,
! [SV185: $i,SV177: $i,SV164: $i] :
( ( ( SV164 = SV177 )
= $false )
| ( ( ~ ( rp @ SV164 @ SV185 ) )
= $true )
| ( ( rp @ SV177 @ SV185 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(802,plain,
! [SV186: $i,SV178: $i,SV165: $i] :
( ( ( SV165 = SV178 )
= $false )
| ( ( ~ ( rp @ SV186 @ SV165 ) )
= $true )
| ( ( rp @ SV186 @ SV178 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(803,plain,
! [SV187: $i,SV179: $i,SV166: $i] :
( ( ( SV166 = SV179 )
= $false )
| ( ( ~ ( rq @ SV166 @ SV187 ) )
= $true )
| ( ( rq @ SV179 @ SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(804,plain,
! [SV188: $i,SV180: $i,SV167: $i] :
( ( ( SV167 = SV180 )
= $false )
| ( ( ~ ( rq @ SV188 @ SV167 ) )
= $true )
| ( ( rq @ SV188 @ SV180 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(805,plain,
! [SV181: $i,SV168: $i] :
( ( ( xsd_integer @ SV168 )
= $false )
| ( ( SV168 = SV181 )
= $false )
| ( ( xsd_integer @ SV181 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(806,plain,
! [SV182: $i,SV169: $i] :
( ( ( xsd_string @ SV169 )
= $false )
| ( ( SV169 = SV182 )
= $false )
| ( ( xsd_string @ SV182 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(807,plain,
! [SV189: $i,SV183: $i,SV170: $i] :
( ( ( rp @ SV170 @ SV183 )
= $false )
| ( ( ~ ( rp @ SV170 @ SV189 ) )
= $true )
| ( ( SV183 = SV189 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(808,plain,
! [SV191: $i,SV184: $i,SV172: $i] :
( ( ( rq @ SV172 @ SV184 )
= $false )
| ( ( ~ ( rq @ SV172 @ SV191 ) )
= $true )
| ( ( SV184 = SV191 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(809,plain,
! [SV195: $i] :
( ( ( cd @ SV195 )
= $false )
| ( ( rp @ SV195 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(810,plain,
! [SV196: $i] :
( ( ( rp @ SV196 @ iv )
= $false )
| ( ( cd @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(811,plain,
! [SV197: $i] :
( ( ( xsd_string @ SV197 )
= $false )
| ( ( ~ ( xsd_integer @ SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(812,plain,
! [SV199: $i] :
( ( ( cd @ SV199 )
= $false )
| ( ( rq @ SV199 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(813,plain,
! [SV200: $i] :
( ( ( rq @ SV200 @ iv )
= $false )
| ( ( cd @ SV200 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(814,plain,
! [SV177: $i,SV185: $i,SV164: $i] :
( ( ( rp @ SV164 @ SV185 )
= $false )
| ( ( SV164 = SV177 )
= $false )
| ( ( rp @ SV177 @ SV185 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(815,plain,
! [SV178: $i,SV165: $i,SV186: $i] :
( ( ( rp @ SV186 @ SV165 )
= $false )
| ( ( SV165 = SV178 )
= $false )
| ( ( rp @ SV186 @ SV178 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(816,plain,
! [SV179: $i,SV187: $i,SV166: $i] :
( ( ( rq @ SV166 @ SV187 )
= $false )
| ( ( SV166 = SV179 )
= $false )
| ( ( rq @ SV179 @ SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(817,plain,
! [SV180: $i,SV167: $i,SV188: $i] :
( ( ( rq @ SV188 @ SV167 )
= $false )
| ( ( SV167 = SV180 )
= $false )
| ( ( rq @ SV188 @ SV180 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(818,plain,
! [SV183: $i,SV189: $i,SV170: $i] :
( ( ( rp @ SV170 @ SV189 )
= $false )
| ( ( rp @ SV170 @ SV183 )
= $false )
| ( ( SV183 = SV189 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(819,plain,
! [SV184: $i,SV191: $i,SV172: $i] :
( ( ( rq @ SV172 @ SV191 )
= $false )
| ( ( rq @ SV172 @ SV184 )
= $false )
| ( ( SV184 = SV191 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(820,plain,
! [SV197: $i] :
( ( ( xsd_integer @ SV197 )
= $false )
| ( ( xsd_string @ SV197 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[811]) ).
thf(821,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[687,820,819,818,817,816,815,814,813,812,810,809,806,805,800,799,798,795,791,777,771,770,768,754]) ).
thf(822,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(823,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(824,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(825,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(826,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(827,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(828,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(829,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(830,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(831,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(832,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(833,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rq @ X @ iv ) )
& ! [X: $i] :
( ~ ( rq @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(834,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ( rp @ X @ iv ) )
& ! [X: $i] :
( ~ ( rp @ X @ iv )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(835,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rp @ X @ Y )
| ~ ( rp @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(836,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rp @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(837,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rq @ X @ Y )
| ~ ( rq @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(838,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rq @ X @ Y )
| ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(839,plain,
( ( cowlThing @ iv )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(840,plain,
( ( ( rp @ sK7_X @ sK8_SY41 )
& ~ ( rq @ sK7_X @ sK8_SY41 ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(841,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[831]) ).
thf(842,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[833]) ).
thf(843,plain,
( ( ~ ( ~ ( rp @ sK7_X @ sK8_SY41 )
| ~ ~ ( rq @ sK7_X @ sK8_SY41 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[840]) ).
thf(844,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[832]) ).
thf(845,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[834]) ).
thf(846,plain,
! [SV201: $i] :
( ( ! [SY167: $i] :
( ( SV201 != SY167 )
| ~ ( cd @ SV201 )
| ( cd @ SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(847,plain,
! [SV202: $i] :
( ( ! [SY168: $i] :
( ( SV202 != SY168 )
| ~ ( cowlNothing @ SV202 )
| ( cowlNothing @ SY168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(848,plain,
! [SV203: $i] :
( ( ! [SY169: $i] :
( ( SV203 != SY169 )
| ~ ( cowlThing @ SV203 )
| ( cowlThing @ SY169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(849,plain,
! [SV204: $i] :
( ( ! [SY170: $i,SY171: $i] :
( ( SV204 != SY170 )
| ~ ( rp @ SV204 @ SY171 )
| ( rp @ SY170 @ SY171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(850,plain,
! [SV205: $i] :
( ( ! [SY172: $i,SY173: $i] :
( ( SV205 != SY172 )
| ~ ( rp @ SY173 @ SV205 )
| ( rp @ SY173 @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(851,plain,
! [SV206: $i] :
( ( ! [SY174: $i,SY175: $i] :
( ( SV206 != SY174 )
| ~ ( rq @ SV206 @ SY175 )
| ( rq @ SY174 @ SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(852,plain,
! [SV207: $i] :
( ( ! [SY176: $i,SY177: $i] :
( ( SV207 != SY176 )
| ~ ( rq @ SY177 @ SV207 )
| ( rq @ SY177 @ SY176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(853,plain,
! [SV208: $i] :
( ( ! [SY178: $i] :
( ( SV208 != SY178 )
| ~ ( xsd_integer @ SV208 )
| ( xsd_integer @ SY178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(854,plain,
! [SV209: $i] :
( ( ! [SY179: $i] :
( ( SV209 != SY179 )
| ~ ( xsd_string @ SV209 )
| ( xsd_string @ SY179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(855,plain,
! [SV210: $i] :
( ( ! [SY180: $i,SY181: $i] :
( ~ ( rp @ SV210 @ SY180 )
| ~ ( rp @ SV210 @ SY181 )
| ( SY180 = SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(856,plain,
! [SV211: $i] :
( ( ! [SY182: $i] :
~ ( rp @ SV211 @ SY182 )
| ( cd @ SV211 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(857,plain,
! [SV212: $i] :
( ( ! [SY183: $i,SY184: $i] :
( ~ ( rq @ SV212 @ SY183 )
| ~ ( rq @ SV212 @ SY184 )
| ( SY183 = SY184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(858,plain,
! [SV213: $i] :
( ( ! [SY185: $i] :
~ ( rq @ SV213 @ SY185 )
| ( cd @ SV213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(859,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(860,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(861,plain,
( ( ~ ( rp @ sK7_X @ sK8_SY41 )
| ~ ~ ( rq @ sK7_X @ sK8_SY41 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(862,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(863,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) )
| ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(864,plain,
! [SV214: $i,SV201: $i] :
( ( ( SV201 != SV214 )
| ~ ( cd @ SV201 )
| ( cd @ SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(865,plain,
! [SV215: $i,SV202: $i] :
( ( ( SV202 != SV215 )
| ~ ( cowlNothing @ SV202 )
| ( cowlNothing @ SV215 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(866,plain,
! [SV216: $i,SV203: $i] :
( ( ( SV203 != SV216 )
| ~ ( cowlThing @ SV203 )
| ( cowlThing @ SV216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(867,plain,
! [SV217: $i,SV204: $i] :
( ( ! [SY186: $i] :
( ( SV204 != SV217 )
| ~ ( rp @ SV204 @ SY186 )
| ( rp @ SV217 @ SY186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(868,plain,
! [SV218: $i,SV205: $i] :
( ( ! [SY187: $i] :
( ( SV205 != SV218 )
| ~ ( rp @ SY187 @ SV205 )
| ( rp @ SY187 @ SV218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(869,plain,
! [SV219: $i,SV206: $i] :
( ( ! [SY188: $i] :
( ( SV206 != SV219 )
| ~ ( rq @ SV206 @ SY188 )
| ( rq @ SV219 @ SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(870,plain,
! [SV220: $i,SV207: $i] :
( ( ! [SY189: $i] :
( ( SV207 != SV220 )
| ~ ( rq @ SY189 @ SV207 )
| ( rq @ SY189 @ SV220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(871,plain,
! [SV221: $i,SV208: $i] :
( ( ( SV208 != SV221 )
| ~ ( xsd_integer @ SV208 )
| ( xsd_integer @ SV221 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(872,plain,
! [SV222: $i,SV209: $i] :
( ( ( SV209 != SV222 )
| ~ ( xsd_string @ SV209 )
| ( xsd_string @ SV222 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(873,plain,
! [SV223: $i,SV210: $i] :
( ( ! [SY190: $i] :
( ~ ( rp @ SV210 @ SV223 )
| ~ ( rp @ SV210 @ SY190 )
| ( SV223 = SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(874,plain,
! [SV211: $i] :
( ( ( ! [SY182: $i] :
~ ( rp @ SV211 @ SY182 ) )
= $true )
| ( ( cd @ SV211 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(875,plain,
! [SV224: $i,SV212: $i] :
( ( ! [SY191: $i] :
( ~ ( rq @ SV212 @ SV224 )
| ~ ( rq @ SV212 @ SY191 )
| ( SV224 = SY191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(876,plain,
! [SV213: $i] :
( ( ( ! [SY185: $i] :
~ ( rq @ SV213 @ SY185 ) )
= $true )
| ( ( cd @ SV213 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(877,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(878,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(879,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[860]) ).
thf(880,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[860]) ).
thf(881,plain,
( ( ~ ( rp @ sK7_X @ sK8_SY41 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(882,plain,
( ( ~ ~ ( rq @ sK7_X @ sK8_SY41 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(883,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(884,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(885,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[863]) ).
thf(886,plain,
( ( ~ ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[863]) ).
thf(887,plain,
! [SV214: $i,SV201: $i] :
( ( ( ( SV201 != SV214 )
| ~ ( cd @ SV201 ) )
= $true )
| ( ( cd @ SV214 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(888,plain,
! [SV215: $i,SV202: $i] :
( ( ( ( SV202 != SV215 )
| ~ ( cowlNothing @ SV202 ) )
= $true )
| ( ( cowlNothing @ SV215 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(889,plain,
! [SV216: $i,SV203: $i] :
( ( ( ( SV203 != SV216 )
| ~ ( cowlThing @ SV203 ) )
= $true )
| ( ( cowlThing @ SV216 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(890,plain,
! [SV225: $i,SV217: $i,SV204: $i] :
( ( ( SV204 != SV217 )
| ~ ( rp @ SV204 @ SV225 )
| ( rp @ SV217 @ SV225 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(891,plain,
! [SV226: $i,SV218: $i,SV205: $i] :
( ( ( SV205 != SV218 )
| ~ ( rp @ SV226 @ SV205 )
| ( rp @ SV226 @ SV218 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(892,plain,
! [SV227: $i,SV219: $i,SV206: $i] :
( ( ( SV206 != SV219 )
| ~ ( rq @ SV206 @ SV227 )
| ( rq @ SV219 @ SV227 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(893,plain,
! [SV228: $i,SV220: $i,SV207: $i] :
( ( ( SV207 != SV220 )
| ~ ( rq @ SV228 @ SV207 )
| ( rq @ SV228 @ SV220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(894,plain,
! [SV221: $i,SV208: $i] :
( ( ( ( SV208 != SV221 )
| ~ ( xsd_integer @ SV208 ) )
= $true )
| ( ( xsd_integer @ SV221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(895,plain,
! [SV222: $i,SV209: $i] :
( ( ( ( SV209 != SV222 )
| ~ ( xsd_string @ SV209 ) )
= $true )
| ( ( xsd_string @ SV222 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(896,plain,
! [SV229: $i,SV223: $i,SV210: $i] :
( ( ~ ( rp @ SV210 @ SV223 )
| ~ ( rp @ SV210 @ SV229 )
| ( SV223 = SV229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(897,plain,
! [SV230: $i,SV211: $i] :
( ( ( ~ ( rp @ SV211 @ SV230 ) )
= $true )
| ( ( cd @ SV211 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(898,plain,
! [SV231: $i,SV224: $i,SV212: $i] :
( ( ~ ( rq @ SV212 @ SV224 )
| ~ ( rq @ SV212 @ SV231 )
| ( SV224 = SV231 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(899,plain,
! [SV232: $i,SV213: $i] :
( ( ( ~ ( rq @ SV213 @ SV232 ) )
= $true )
| ( ( cd @ SV213 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(900,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(901,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[878]) ).
thf(902,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rq @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[879]) ).
thf(903,plain,
( ( ! [SX0: $i] :
( ~ ( rq @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[880]) ).
thf(904,plain,
( ( rp @ sK7_X @ sK8_SY41 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(905,plain,
( ( ~ ( rq @ sK7_X @ sK8_SY41 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[882]) ).
thf(906,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[883]) ).
thf(907,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[884]) ).
thf(908,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( rp @ SX0 @ iv ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[885]) ).
thf(909,plain,
( ( ! [SX0: $i] :
( ~ ( rp @ SX0 @ iv )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[886]) ).
thf(910,plain,
! [SV214: $i,SV201: $i] :
( ( ( ( SV201 != SV214 ) )
= $true )
| ( ( ~ ( cd @ SV201 ) )
= $true )
| ( ( cd @ SV214 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(911,plain,
! [SV215: $i,SV202: $i] :
( ( ( ( SV202 != SV215 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV202 ) )
= $true )
| ( ( cowlNothing @ SV215 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(912,plain,
! [SV216: $i,SV203: $i] :
( ( ( ( SV203 != SV216 ) )
= $true )
| ( ( ~ ( cowlThing @ SV203 ) )
= $true )
| ( ( cowlThing @ SV216 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(913,plain,
! [SV225: $i,SV217: $i,SV204: $i] :
( ( ( ( SV204 != SV217 )
| ~ ( rp @ SV204 @ SV225 ) )
= $true )
| ( ( rp @ SV217 @ SV225 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[890]) ).
thf(914,plain,
! [SV226: $i,SV218: $i,SV205: $i] :
( ( ( ( SV205 != SV218 )
| ~ ( rp @ SV226 @ SV205 ) )
= $true )
| ( ( rp @ SV226 @ SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(915,plain,
! [SV227: $i,SV219: $i,SV206: $i] :
( ( ( ( SV206 != SV219 )
| ~ ( rq @ SV206 @ SV227 ) )
= $true )
| ( ( rq @ SV219 @ SV227 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(916,plain,
! [SV228: $i,SV220: $i,SV207: $i] :
( ( ( ( SV207 != SV220 )
| ~ ( rq @ SV228 @ SV207 ) )
= $true )
| ( ( rq @ SV228 @ SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(917,plain,
! [SV221: $i,SV208: $i] :
( ( ( ( SV208 != SV221 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV208 ) )
= $true )
| ( ( xsd_integer @ SV221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(918,plain,
! [SV222: $i,SV209: $i] :
( ( ( ( SV209 != SV222 ) )
= $true )
| ( ( ~ ( xsd_string @ SV209 ) )
= $true )
| ( ( xsd_string @ SV222 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(919,plain,
! [SV229: $i,SV223: $i,SV210: $i] :
( ( ( ~ ( rp @ SV210 @ SV223 )
| ~ ( rp @ SV210 @ SV229 ) )
= $true )
| ( ( SV223 = SV229 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[896]) ).
thf(920,plain,
! [SV230: $i,SV211: $i] :
( ( ( rp @ SV211 @ SV230 )
= $false )
| ( ( cd @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(921,plain,
! [SV231: $i,SV224: $i,SV212: $i] :
( ( ( ~ ( rq @ SV212 @ SV224 )
| ~ ( rq @ SV212 @ SV231 ) )
= $true )
| ( ( SV224 = SV231 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[898]) ).
thf(922,plain,
! [SV232: $i,SV213: $i] :
( ( ( rq @ SV213 @ SV232 )
= $false )
| ( ( cd @ SV213 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(923,plain,
! [SV233: $i] :
( ( cowlThing @ SV233 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[900]) ).
thf(924,plain,
! [SV234: $i] :
( ( ~ ( cowlNothing @ SV234 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(925,plain,
! [SV235: $i] :
( ( ~ ( cd @ SV235 )
| ( rq @ SV235 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(926,plain,
! [SV236: $i] :
( ( ~ ( rq @ SV236 @ iv )
| ( cd @ SV236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(927,plain,
( ( rq @ sK7_X @ sK8_SY41 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(928,plain,
! [SV237: $i] :
( ( ~ ( xsd_string @ SV237 )
| ~ ( xsd_integer @ SV237 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(929,plain,
! [SV238: $i] :
( ( ( xsd_integer @ SV238 )
| ( xsd_string @ SV238 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(930,plain,
! [SV239: $i] :
( ( ~ ( cd @ SV239 )
| ( rp @ SV239 @ iv ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(931,plain,
! [SV240: $i] :
( ( ~ ( rp @ SV240 @ iv )
| ( cd @ SV240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(932,plain,
! [SV214: $i,SV201: $i] :
( ( ( SV201 = SV214 )
= $false )
| ( ( ~ ( cd @ SV201 ) )
= $true )
| ( ( cd @ SV214 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(933,plain,
! [SV215: $i,SV202: $i] :
( ( ( SV202 = SV215 )
= $false )
| ( ( ~ ( cowlNothing @ SV202 ) )
= $true )
| ( ( cowlNothing @ SV215 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(934,plain,
! [SV216: $i,SV203: $i] :
( ( ( SV203 = SV216 )
= $false )
| ( ( ~ ( cowlThing @ SV203 ) )
= $true )
| ( ( cowlThing @ SV216 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(935,plain,
! [SV225: $i,SV217: $i,SV204: $i] :
( ( ( ( SV204 != SV217 ) )
= $true )
| ( ( ~ ( rp @ SV204 @ SV225 ) )
= $true )
| ( ( rp @ SV217 @ SV225 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[913]) ).
thf(936,plain,
! [SV226: $i,SV218: $i,SV205: $i] :
( ( ( ( SV205 != SV218 ) )
= $true )
| ( ( ~ ( rp @ SV226 @ SV205 ) )
= $true )
| ( ( rp @ SV226 @ SV218 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(937,plain,
! [SV227: $i,SV219: $i,SV206: $i] :
( ( ( ( SV206 != SV219 ) )
= $true )
| ( ( ~ ( rq @ SV206 @ SV227 ) )
= $true )
| ( ( rq @ SV219 @ SV227 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[915]) ).
thf(938,plain,
! [SV228: $i,SV220: $i,SV207: $i] :
( ( ( ( SV207 != SV220 ) )
= $true )
| ( ( ~ ( rq @ SV228 @ SV207 ) )
= $true )
| ( ( rq @ SV228 @ SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(939,plain,
! [SV221: $i,SV208: $i] :
( ( ( SV208 = SV221 )
= $false )
| ( ( ~ ( xsd_integer @ SV208 ) )
= $true )
| ( ( xsd_integer @ SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(940,plain,
! [SV222: $i,SV209: $i] :
( ( ( SV209 = SV222 )
= $false )
| ( ( ~ ( xsd_string @ SV209 ) )
= $true )
| ( ( xsd_string @ SV222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(941,plain,
! [SV229: $i,SV223: $i,SV210: $i] :
( ( ( ~ ( rp @ SV210 @ SV223 ) )
= $true )
| ( ( ~ ( rp @ SV210 @ SV229 ) )
= $true )
| ( ( SV223 = SV229 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[919]) ).
thf(942,plain,
! [SV231: $i,SV224: $i,SV212: $i] :
( ( ( ~ ( rq @ SV212 @ SV224 ) )
= $true )
| ( ( ~ ( rq @ SV212 @ SV231 ) )
= $true )
| ( ( SV224 = SV231 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(943,plain,
! [SV234: $i] :
( ( cowlNothing @ SV234 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(944,plain,
! [SV235: $i] :
( ( ( ~ ( cd @ SV235 ) )
= $true )
| ( ( rq @ SV235 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(945,plain,
! [SV236: $i] :
( ( ( ~ ( rq @ SV236 @ iv ) )
= $true )
| ( ( cd @ SV236 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(946,plain,
! [SV237: $i] :
( ( ( ~ ( xsd_string @ SV237 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV237 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(947,plain,
! [SV238: $i] :
( ( ( xsd_integer @ SV238 )
= $true )
| ( ( xsd_string @ SV238 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(948,plain,
! [SV239: $i] :
( ( ( ~ ( cd @ SV239 ) )
= $true )
| ( ( rp @ SV239 @ iv )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[930]) ).
thf(949,plain,
! [SV240: $i] :
( ( ( ~ ( rp @ SV240 @ iv ) )
= $true )
| ( ( cd @ SV240 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(950,plain,
! [SV214: $i,SV201: $i] :
( ( ( cd @ SV201 )
= $false )
| ( ( SV201 = SV214 )
= $false )
| ( ( cd @ SV214 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(951,plain,
! [SV215: $i,SV202: $i] :
( ( ( cowlNothing @ SV202 )
= $false )
| ( ( SV202 = SV215 )
= $false )
| ( ( cowlNothing @ SV215 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(952,plain,
! [SV216: $i,SV203: $i] :
( ( ( cowlThing @ SV203 )
= $false )
| ( ( SV203 = SV216 )
= $false )
| ( ( cowlThing @ SV216 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(953,plain,
! [SV225: $i,SV217: $i,SV204: $i] :
( ( ( SV204 = SV217 )
= $false )
| ( ( ~ ( rp @ SV204 @ SV225 ) )
= $true )
| ( ( rp @ SV217 @ SV225 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(954,plain,
! [SV226: $i,SV218: $i,SV205: $i] :
( ( ( SV205 = SV218 )
= $false )
| ( ( ~ ( rp @ SV226 @ SV205 ) )
= $true )
| ( ( rp @ SV226 @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(955,plain,
! [SV227: $i,SV219: $i,SV206: $i] :
( ( ( SV206 = SV219 )
= $false )
| ( ( ~ ( rq @ SV206 @ SV227 ) )
= $true )
| ( ( rq @ SV219 @ SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(956,plain,
! [SV228: $i,SV220: $i,SV207: $i] :
( ( ( SV207 = SV220 )
= $false )
| ( ( ~ ( rq @ SV228 @ SV207 ) )
= $true )
| ( ( rq @ SV228 @ SV220 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(957,plain,
! [SV221: $i,SV208: $i] :
( ( ( xsd_integer @ SV208 )
= $false )
| ( ( SV208 = SV221 )
= $false )
| ( ( xsd_integer @ SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(958,plain,
! [SV222: $i,SV209: $i] :
( ( ( xsd_string @ SV209 )
= $false )
| ( ( SV209 = SV222 )
= $false )
| ( ( xsd_string @ SV222 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(959,plain,
! [SV229: $i,SV223: $i,SV210: $i] :
( ( ( rp @ SV210 @ SV223 )
= $false )
| ( ( ~ ( rp @ SV210 @ SV229 ) )
= $true )
| ( ( SV223 = SV229 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(960,plain,
! [SV231: $i,SV224: $i,SV212: $i] :
( ( ( rq @ SV212 @ SV224 )
= $false )
| ( ( ~ ( rq @ SV212 @ SV231 ) )
= $true )
| ( ( SV224 = SV231 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(961,plain,
! [SV235: $i] :
( ( ( cd @ SV235 )
= $false )
| ( ( rq @ SV235 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(962,plain,
! [SV236: $i] :
( ( ( rq @ SV236 @ iv )
= $false )
| ( ( cd @ SV236 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(963,plain,
! [SV237: $i] :
( ( ( xsd_string @ SV237 )
= $false )
| ( ( ~ ( xsd_integer @ SV237 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(964,plain,
! [SV239: $i] :
( ( ( cd @ SV239 )
= $false )
| ( ( rp @ SV239 @ iv )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(965,plain,
! [SV240: $i] :
( ( ( rp @ SV240 @ iv )
= $false )
| ( ( cd @ SV240 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(966,plain,
! [SV217: $i,SV225: $i,SV204: $i] :
( ( ( rp @ SV204 @ SV225 )
= $false )
| ( ( SV204 = SV217 )
= $false )
| ( ( rp @ SV217 @ SV225 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(967,plain,
! [SV218: $i,SV205: $i,SV226: $i] :
( ( ( rp @ SV226 @ SV205 )
= $false )
| ( ( SV205 = SV218 )
= $false )
| ( ( rp @ SV226 @ SV218 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(968,plain,
! [SV219: $i,SV227: $i,SV206: $i] :
( ( ( rq @ SV206 @ SV227 )
= $false )
| ( ( SV206 = SV219 )
= $false )
| ( ( rq @ SV219 @ SV227 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(969,plain,
! [SV220: $i,SV207: $i,SV228: $i] :
( ( ( rq @ SV228 @ SV207 )
= $false )
| ( ( SV207 = SV220 )
= $false )
| ( ( rq @ SV228 @ SV220 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(970,plain,
! [SV223: $i,SV229: $i,SV210: $i] :
( ( ( rp @ SV210 @ SV229 )
= $false )
| ( ( rp @ SV210 @ SV223 )
= $false )
| ( ( SV223 = SV229 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(971,plain,
! [SV224: $i,SV231: $i,SV212: $i] :
( ( ( rq @ SV212 @ SV231 )
= $false )
| ( ( rq @ SV212 @ SV224 )
= $false )
| ( ( SV224 = SV231 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(972,plain,
! [SV237: $i] :
( ( ( xsd_integer @ SV237 )
= $false )
| ( ( xsd_string @ SV237 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(973,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[839,972,971,970,969,968,967,966,965,964,962,961,958,957,952,951,950,947,943,927,923,922,920,904]) ).
thf(974,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[973,220,365,516,669,821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS172+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 08:07:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 18
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.12/0.36 (rf:0,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:20,loop_count:0,foatp_calls:0,translation:fof_full).............................
% 0.44/0.68
% 0.44/0.68 ********************************
% 0.44/0.68 * All subproblems solved! *
% 0.44/0.68 ********************************
% 0.44/0.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:973,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.62/0.87
% 0.62/0.87 %**** Beginning of derivation protocol ****
% 0.62/0.87 % SZS output start CNFRefutation
% See solution above
% 0.70/0.87
% 0.70/0.87 %**** End of derivation protocol ****
% 0.70/0.87 %**** no. of clauses in derivation: 974 ****
% 0.70/0.87 %**** clause counter: 973 ****
% 0.70/0.87
% 0.70/0.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:973,loop_count:0,foatp_calls:1,translation:fof_full)
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