%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS070+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:26:13 AM UTC 2026
% Result : Unsatisfiable 1.57s 0.50s
% Output : CNFRefutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 45
% Syntax : Number of formulae : 615 ( 264 unt; 0 typ; 0 def)
% Number of atoms : 4312 (1543 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 6172 (2002 ~;1186 |; 117 &;2741 @)
% ( 6 <=>; 120 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 3 con; 0-2 aty)
% Number of variables : 1602 ( 0 ^;1593 !; 9 ?;1602 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
thf(tp_cc1,type,
cc1: $i > $o ).
thf(tp_cc2,type,
cc2: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_i2003_11_14_17_18_32242,type,
i2003_11_14_17_18_32242: $i ).
thf(tp_rrx,type,
rrx: $i > $i > $o ).
thf(tp_rrx1,type,
rrx1: $i > $i > $o ).
thf(tp_rrx1a,type,
rrx1a: $i > $i > $o ).
thf(tp_rrx2,type,
rrx2: $i > $i > $o ).
thf(tp_rrx2a,type,
rrx2a: $i > $i > $o ).
thf(tp_rrx3,type,
rrx3: $i > $i > $o ).
thf(tp_rrx3a,type,
rrx3a: $i > $i > $o ).
thf(tp_rrx4,type,
rrx4: $i > $i > $o ).
thf(tp_rrx4a,type,
rrx4a: $i > $i > $o ).
thf(tp_rrxa,type,
rrxa: $i > $i > $o ).
thf(tp_sK1_SY169,type,
sK1_SY169: $i > $i ).
thf(tp_sK2_SY167,type,
sK2_SY167: $i > $i ).
thf(tp_sK3_SY171,type,
sK3_SY171: $i > $i > $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( rrx4 @ X @ Y )
=> ( rrx @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( rrx3 @ X @ Y )
=> ( rrx1 @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( rrx4a @ X @ Y )
=> ( rrx2a @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( rrx3a @ X @ Y )
=> ( rrx1a @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( rrx4 @ X @ Y )
=> ( rrx2 @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( rrx4a @ X @ Y )
=> ( rrxa @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( rrx3a @ X @ Y )
=> ( rrxa @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(8,axiom,
! [X: $i,Y: $i] :
( ( rrx3 @ X @ Y )
=> ( rrx @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(9,axiom,
cUnsatisfiable @ i2003_11_14_17_18_32242,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(10,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rrx4a @ X @ Y )
& ( rrx4a @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(11,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rrx4 @ X @ Y )
& ( rrx4 @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(12,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rrx3a @ X @ Y )
& ( rrx3a @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(13,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rrx3 @ X @ Y )
& ( rrx3 @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(14,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rrx @ X @ Y )
& ( rrx @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(15,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rrx4 @ X @ Y )
& ( cc2 @ Y ) )
& ~ ? [Y: $i] :
( ( rrx3 @ X @ Y )
& ( cc2 @ Y )
& ( cc1 @ Y ) )
& ? [Y: $i] :
( ( rrx3 @ X @ Y )
& ( cc1 @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(16,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(17,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(18,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(19,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(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrxa @ C @ A ) )
=> ( rrxa @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrxa_substitution_2) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrxa @ A @ C ) )
=> ( rrxa @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrxa_substitution_1) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4a @ C @ A ) )
=> ( rrx4a @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx4a_substitution_2) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4a @ A @ C ) )
=> ( rrx4a @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx4a_substitution_1) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4 @ C @ A ) )
=> ( rrx4 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx4_substitution_2) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4 @ A @ C ) )
=> ( rrx4 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx4_substitution_1) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3a @ C @ A ) )
=> ( rrx3a @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx3a_substitution_2) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3a @ A @ C ) )
=> ( rrx3a @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx3a_substitution_1) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3 @ C @ A ) )
=> ( rrx3 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx3_substitution_2) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3 @ A @ C ) )
=> ( rrx3 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx3_substitution_1) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2a @ C @ A ) )
=> ( rrx2a @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx2a_substitution_2) ).
thf(31,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2a @ A @ C ) )
=> ( rrx2a @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx2a_substitution_1) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2 @ C @ A ) )
=> ( rrx2 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx2_substitution_2) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2 @ A @ C ) )
=> ( rrx2 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx2_substitution_1) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1a @ C @ A ) )
=> ( rrx1a @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx1a_substitution_2) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1a @ A @ C ) )
=> ( rrx1a @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx1a_substitution_1) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1 @ C @ A ) )
=> ( rrx1 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx1_substitution_2) ).
thf(37,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1 @ A @ C ) )
=> ( rrx1 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx1_substitution_1) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx @ C @ A ) )
=> ( rrx @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx_substitution_2) ).
thf(39,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx @ A @ C ) )
=> ( rrx @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rrx_substitution_1) ).
thf(40,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cc2 @ A ) )
=> ( cc2 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_substitution_1) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cc1 @ A ) )
=> ( cc1 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_substitution_1) ).
thf(44,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(45,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(46,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[45]) ).
thf(47,plain,
$false = $false,
inference(unfold_def,[status(thm)],[46]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx4 @ X @ Y )
=> ( rrx @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx3 @ X @ Y )
=> ( rrx1 @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(50,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx4a @ X @ Y )
=> ( rrx2a @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx3a @ X @ Y )
=> ( rrx1a @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(52,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx4 @ X @ Y )
=> ( rrx2 @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(53,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx4a @ X @ Y )
=> ( rrxa @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(54,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx3a @ X @ Y )
=> ( rrxa @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(55,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx3 @ X @ Y )
=> ( rrx @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(56,plain,
( ( cUnsatisfiable @ i2003_11_14_17_18_32242 )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rrx4a @ X @ Y )
& ( rrx4a @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rrx4 @ X @ Y )
& ( rrx4 @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rrx3a @ X @ Y )
& ( rrx3a @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(60,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rrx3 @ X @ Y )
& ( rrx3 @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rrx @ X @ Y )
& ( rrx @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(62,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rrx4 @ X @ Y )
& ( cc2 @ Y ) )
& ~ ? [Y: $i] :
( ( rrx3 @ X @ Y )
& ( cc2 @ Y )
& ( cc1 @ Y ) )
& ? [Y: $i] :
( ( rrx3 @ X @ Y )
& ( cc1 @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(63,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(64,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(65,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(66,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(67,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrxa @ C @ A ) )
=> ( rrxa @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(68,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrxa @ A @ C ) )
=> ( rrxa @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(69,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4a @ C @ A ) )
=> ( rrx4a @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(70,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4a @ A @ C ) )
=> ( rrx4a @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(71,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4 @ C @ A ) )
=> ( rrx4 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(72,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4 @ A @ C ) )
=> ( rrx4 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(73,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3a @ C @ A ) )
=> ( rrx3a @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(74,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3a @ A @ C ) )
=> ( rrx3a @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(75,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3 @ C @ A ) )
=> ( rrx3 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(76,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3 @ A @ C ) )
=> ( rrx3 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(77,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2a @ C @ A ) )
=> ( rrx2a @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(78,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2a @ A @ C ) )
=> ( rrx2a @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(79,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2 @ C @ A ) )
=> ( rrx2 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(80,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2 @ A @ C ) )
=> ( rrx2 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(81,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1a @ C @ A ) )
=> ( rrx1a @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(82,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1a @ A @ C ) )
=> ( rrx1a @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(83,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1 @ C @ A ) )
=> ( rrx1 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(84,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1 @ A @ C ) )
=> ( rrx1 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(85,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx @ C @ A ) )
=> ( rrx @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(86,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx @ A @ C ) )
=> ( rrx @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(87,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(88,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(89,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cc2 @ A ) )
=> ( cc2 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(90,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cc1 @ A ) )
=> ( cc1 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(91,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(92,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[47]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(94,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cc1 @ A ) )
=> ( cc1 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(95,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cc2 @ A ) )
=> ( cc2 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(96,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(97,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(98,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx @ A @ C ) )
=> ( rrx @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(99,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx @ C @ A ) )
=> ( rrx @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(100,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1 @ A @ C ) )
=> ( rrx1 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(101,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1 @ C @ A ) )
=> ( rrx1 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(102,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1a @ A @ C ) )
=> ( rrx1a @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(103,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx1a @ C @ A ) )
=> ( rrx1a @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(104,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2 @ A @ C ) )
=> ( rrx2 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(105,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2 @ C @ A ) )
=> ( rrx2 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(106,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2a @ A @ C ) )
=> ( rrx2a @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(107,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx2a @ C @ A ) )
=> ( rrx2a @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(108,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3 @ A @ C ) )
=> ( rrx3 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(109,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3 @ C @ A ) )
=> ( rrx3 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(110,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3a @ A @ C ) )
=> ( rrx3a @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(111,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx3a @ C @ A ) )
=> ( rrx3a @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(112,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4 @ A @ C ) )
=> ( rrx4 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(113,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4 @ C @ A ) )
=> ( rrx4 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(114,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4a @ A @ C ) )
=> ( rrx4a @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(115,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrx4a @ C @ A ) )
=> ( rrx4a @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(116,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrxa @ A @ C ) )
=> ( rrxa @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(117,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rrxa @ C @ A ) )
=> ( rrxa @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(118,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(119,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(120,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(121,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(122,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rrx4 @ X @ Y )
& ( cc2 @ Y ) )
& ~ ? [Y: $i] :
( ( rrx3 @ X @ Y )
& ( cc2 @ Y )
& ( cc1 @ Y ) )
& ? [Y: $i] :
( ( rrx3 @ X @ Y )
& ( cc1 @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(123,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rrx @ X @ Y )
& ( rrx @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(124,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rrx3 @ X @ Y )
& ( rrx3 @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(125,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rrx3a @ X @ Y )
& ( rrx3a @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(126,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rrx4 @ X @ Y )
& ( rrx4 @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(127,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rrx4a @ X @ Y )
& ( rrx4a @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(128,plain,
( ( cUnsatisfiable @ i2003_11_14_17_18_32242 )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(129,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx3 @ X @ Y )
=> ( rrx @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(130,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx3a @ X @ Y )
=> ( rrxa @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(131,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx4a @ X @ Y )
=> ( rrxa @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(132,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx4 @ X @ Y )
=> ( rrx2 @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(133,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx3a @ X @ Y )
=> ( rrx1a @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(134,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx4a @ X @ Y )
=> ( rrx2a @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(135,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx3 @ X @ Y )
=> ( rrx1 @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(136,plain,
( ( ! [X: $i,Y: $i] :
( ( rrx4 @ X @ Y )
=> ( rrx @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(137,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[92]) ).
thf(138,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx4a @ SX2 @ SX0 ) )
| ( rrx4a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(139,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cc2 @ SX0 ) )
| ( cc2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(140,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx4a @ SX0 @ SX2 ) )
| ( rrx4a @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(141,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx @ SX2 @ SX0 ) )
| ( rrx @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(142,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cowlThing @ SX0 ) )
| ( cowlThing @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(143,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rrx @ SX0 @ SX1 )
| ~ ( rrx @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(144,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx4 @ SX0 @ SX2 ) )
| ( rrx4 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(145,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx4 @ SX2 @ SX0 ) )
| ( rrx4 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(146,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrxa @ SX0 @ SX2 ) )
| ( rrxa @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(147,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx3a @ SX0 @ SX2 ) )
| ( rrx3a @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(148,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rrx4 @ SX0 @ SX1 )
| ( rrx2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(149,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx2a @ SX2 @ SX0 ) )
| ( rrx2a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(150,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx @ SX0 @ SX2 ) )
| ( rrx @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(151,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx3 @ SX2 @ SX0 ) )
| ( rrx3 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(152,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cc1 @ SX0 ) )
| ( cc1 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(153,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rrx4a @ SX0 @ SX1 )
| ( rrx2a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(154,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( xsd_integer @ SX0 ) )
| ( xsd_integer @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(155,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cowlNothing @ SX0 ) )
| ( cowlNothing @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(156,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx1 @ SX2 @ SX0 ) )
| ( rrx1 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(157,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rrx3a @ SX0 @ SX1 )
| ( rrx1a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(158,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx3a @ SX2 @ SX0 ) )
| ( rrx3a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(159,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx2a @ SX0 @ SX2 ) )
| ( rrx2a @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(160,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rrx3a @ SX0 @ SX1 )
| ( rrxa @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(161,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx3 @ SX0 @ SX2 ) )
| ( rrx3 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(162,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rrx3 @ SX0 @ SX1 )
| ( rrx @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(163,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rrx4 @ SX0 @ SX1 )
| ~ ( rrx4 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(164,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rrx4 @ SX0 @ SX1 )
| ( rrx @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(165,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( xsd_string @ SX0 ) )
| ( xsd_string @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(166,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cUnsatisfiable @ SX0 ) )
| ( cUnsatisfiable @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(167,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(168,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rrx4a @ SX0 @ SX1 )
| ~ ( rrx4a @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(169,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrxa @ SX2 @ SX0 ) )
| ( rrxa @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(170,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rrx3a @ SX0 @ SX1 )
| ~ ( rrx3a @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(171,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rrx3 @ SX0 @ SX1 )
| ( rrx1 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(172,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx2 @ SX2 @ SX0 ) )
| ( rrx2 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(173,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx1 @ SX0 @ SX2 ) )
| ( rrx1 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(174,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rrx4 @ SX0 @ SX1 )
| ~ ( cc2 @ SX1 ) )
| ~ ~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc2 @ SX1 ) )
| ~ ( cc1 @ SX1 ) ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rrx4 @ SX0 @ SX1 )
| ~ ( cc2 @ SX1 ) )
| ~ ~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc2 @ SX1 ) )
| ~ ( cc1 @ SX1 ) ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) )
| ( cUnsatisfiable @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(175,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rrx4a @ SX0 @ SX1 )
| ( rrxa @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(176,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(177,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(178,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx1a @ SX0 @ SX2 ) )
| ( rrx1a @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(179,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx1a @ SX2 @ SX0 ) )
| ( rrx1a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(180,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rrx2 @ SX0 @ SX2 ) )
| ( rrx2 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(181,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(182,plain,
! [SV1: $i] :
( ( ! [SY111: $i,SY112: $i] :
( ~ ~ ( ( SV1 != SY111 )
| ~ ( rrx4a @ SY112 @ SV1 ) )
| ( rrx4a @ SY112 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(183,plain,
! [SV2: $i] :
( ( ! [SY113: $i] :
( ~ ~ ( ( SV2 != SY113 )
| ~ ( cc2 @ SV2 ) )
| ( cc2 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(184,plain,
! [SV3: $i] :
( ( ! [SY114: $i,SY115: $i] :
( ~ ~ ( ( SV3 != SY114 )
| ~ ( rrx4a @ SV3 @ SY115 ) )
| ( rrx4a @ SY114 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(185,plain,
! [SV4: $i] :
( ( ! [SY116: $i,SY117: $i] :
( ~ ~ ( ( SV4 != SY116 )
| ~ ( rrx @ SY117 @ SV4 ) )
| ( rrx @ SY117 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(186,plain,
! [SV5: $i] :
( ( ! [SY118: $i] :
( ~ ~ ( ( SV5 != SY118 )
| ~ ( cowlThing @ SV5 ) )
| ( cowlThing @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(187,plain,
! [SV6: $i] :
( ( ! [SY119: $i,SY120: $i] :
( ~ ~ ( ~ ( rrx @ SV6 @ SY119 )
| ~ ( rrx @ SV6 @ SY120 ) )
| ( SY119 = SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(188,plain,
! [SV7: $i] :
( ( ! [SY121: $i,SY122: $i] :
( ~ ~ ( ( SV7 != SY121 )
| ~ ( rrx4 @ SV7 @ SY122 ) )
| ( rrx4 @ SY121 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(189,plain,
! [SV8: $i] :
( ( ! [SY123: $i,SY124: $i] :
( ~ ~ ( ( SV8 != SY123 )
| ~ ( rrx4 @ SY124 @ SV8 ) )
| ( rrx4 @ SY124 @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(190,plain,
! [SV9: $i] :
( ( ! [SY125: $i,SY126: $i] :
( ~ ~ ( ( SV9 != SY125 )
| ~ ( rrxa @ SV9 @ SY126 ) )
| ( rrxa @ SY125 @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(191,plain,
! [SV10: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ~ ~ ( ( SV10 != SY127 )
| ~ ( rrx3a @ SV10 @ SY128 ) )
| ( rrx3a @ SY127 @ SY128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(192,plain,
! [SV11: $i] :
( ( ! [SY129: $i] :
( ~ ( rrx4 @ SV11 @ SY129 )
| ( rrx2 @ SV11 @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(193,plain,
! [SV12: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ~ ~ ( ( SV12 != SY130 )
| ~ ( rrx2a @ SY131 @ SV12 ) )
| ( rrx2a @ SY131 @ SY130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(194,plain,
! [SV13: $i] :
( ( ! [SY132: $i,SY133: $i] :
( ~ ~ ( ( SV13 != SY132 )
| ~ ( rrx @ SV13 @ SY133 ) )
| ( rrx @ SY132 @ SY133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(195,plain,
! [SV14: $i] :
( ( ! [SY134: $i,SY135: $i] :
( ~ ~ ( ( SV14 != SY134 )
| ~ ( rrx3 @ SY135 @ SV14 ) )
| ( rrx3 @ SY135 @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(196,plain,
! [SV15: $i] :
( ( ! [SY136: $i] :
( ~ ~ ( ( SV15 != SY136 )
| ~ ( cc1 @ SV15 ) )
| ( cc1 @ SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(197,plain,
! [SV16: $i] :
( ( ! [SY137: $i] :
( ~ ( rrx4a @ SV16 @ SY137 )
| ( rrx2a @ SV16 @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(198,plain,
! [SV17: $i] :
( ( ! [SY138: $i] :
( ~ ~ ( ( SV17 != SY138 )
| ~ ( xsd_integer @ SV17 ) )
| ( xsd_integer @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(199,plain,
! [SV18: $i] :
( ( ! [SY139: $i] :
( ~ ~ ( ( SV18 != SY139 )
| ~ ( cowlNothing @ SV18 ) )
| ( cowlNothing @ SY139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(200,plain,
! [SV19: $i] :
( ( ! [SY140: $i,SY141: $i] :
( ~ ~ ( ( SV19 != SY140 )
| ~ ( rrx1 @ SY141 @ SV19 ) )
| ( rrx1 @ SY141 @ SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(201,plain,
! [SV20: $i] :
( ( ! [SY142: $i] :
( ~ ( rrx3a @ SV20 @ SY142 )
| ( rrx1a @ SV20 @ SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(202,plain,
! [SV21: $i] :
( ( ! [SY143: $i,SY144: $i] :
( ~ ~ ( ( SV21 != SY143 )
| ~ ( rrx3a @ SY144 @ SV21 ) )
| ( rrx3a @ SY144 @ SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(203,plain,
! [SV22: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ~ ~ ( ( SV22 != SY145 )
| ~ ( rrx2a @ SV22 @ SY146 ) )
| ( rrx2a @ SY145 @ SY146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(204,plain,
! [SV23: $i] :
( ( ! [SY147: $i] :
( ~ ( rrx3a @ SV23 @ SY147 )
| ( rrxa @ SV23 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(205,plain,
! [SV24: $i] :
( ( ! [SY148: $i,SY149: $i] :
( ~ ~ ( ( SV24 != SY148 )
| ~ ( rrx3 @ SV24 @ SY149 ) )
| ( rrx3 @ SY148 @ SY149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(206,plain,
! [SV25: $i] :
( ( ! [SY150: $i] :
( ~ ( rrx3 @ SV25 @ SY150 )
| ( rrx @ SV25 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(207,plain,
! [SV26: $i] :
( ( ! [SY151: $i,SY152: $i] :
( ~ ~ ( ~ ( rrx4 @ SV26 @ SY151 )
| ~ ( rrx4 @ SV26 @ SY152 ) )
| ( SY151 = SY152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(208,plain,
! [SV27: $i] :
( ( ! [SY153: $i] :
( ~ ( rrx4 @ SV27 @ SY153 )
| ( rrx @ SV27 @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(209,plain,
! [SV28: $i] :
( ( ! [SY154: $i] :
( ~ ~ ( ( SV28 != SY154 )
| ~ ( xsd_string @ SV28 ) )
| ( xsd_string @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(210,plain,
! [SV29: $i] :
( ( ! [SY155: $i] :
( ~ ~ ( ( SV29 != SY155 )
| ~ ( cUnsatisfiable @ SV29 ) )
| ( cUnsatisfiable @ SY155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(211,plain,
! [SV30: $i] :
( ( ~ ( ~ ( cowlThing @ SV30 )
| ~ ~ ( cowlNothing @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(212,plain,
! [SV31: $i] :
( ( ! [SY156: $i,SY157: $i] :
( ~ ~ ( ~ ( rrx4a @ SV31 @ SY156 )
| ~ ( rrx4a @ SV31 @ SY157 ) )
| ( SY156 = SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(213,plain,
! [SV32: $i] :
( ( ! [SY158: $i,SY159: $i] :
( ~ ~ ( ( SV32 != SY158 )
| ~ ( rrxa @ SY159 @ SV32 ) )
| ( rrxa @ SY159 @ SY158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(214,plain,
! [SV33: $i] :
( ( ! [SY160: $i,SY161: $i] :
( ~ ~ ( ~ ( rrx3a @ SV33 @ SY160 )
| ~ ( rrx3a @ SV33 @ SY161 ) )
| ( SY160 = SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(215,plain,
! [SV34: $i] :
( ( ! [SY162: $i] :
( ~ ( rrx3 @ SV34 @ SY162 )
| ( rrx1 @ SV34 @ SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(216,plain,
! [SV35: $i] :
( ( ! [SY163: $i,SY164: $i] :
( ~ ~ ( ( SV35 != SY163 )
| ~ ( rrx2 @ SY164 @ SV35 ) )
| ( rrx2 @ SY164 @ SY163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(217,plain,
! [SV36: $i] :
( ( ! [SY165: $i,SY166: $i] :
( ~ ~ ( ( SV36 != SY165 )
| ~ ( rrx1 @ SV36 @ SY166 ) )
| ( rrx1 @ SY165 @ SY166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(218,plain,
! [SV37: $i] :
( ( ~ ( ~ ( ~ ( cUnsatisfiable @ SV37 )
| ~ ( ~ ~ ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) )
| ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
| ~ ~ ! [SY169: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY169 )
| ~ ( cc1 @ SY169 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) )
| ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
| ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
| ( cUnsatisfiable @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(219,plain,
! [SV38: $i] :
( ( ! [SY173: $i] :
( ~ ( rrx4a @ SV38 @ SY173 )
| ( rrxa @ SV38 @ SY173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(220,plain,
! [SV39: $i] :
( ( ! [SY174: $i,SY175: $i] :
( ~ ~ ( ~ ( rrx3 @ SV39 @ SY174 )
| ~ ( rrx3 @ SV39 @ SY175 ) )
| ( SY174 = SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(221,plain,
! [SV40: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV40 )
| ~ ( xsd_integer @ SV40 ) )
| ~ ( ~ ~ ( xsd_integer @ SV40 )
| ( xsd_string @ SV40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(222,plain,
! [SV41: $i] :
( ( ! [SY176: $i,SY177: $i] :
( ~ ~ ( ( SV41 != SY176 )
| ~ ( rrx1a @ SV41 @ SY177 ) )
| ( rrx1a @ SY176 @ SY177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(223,plain,
! [SV42: $i] :
( ( ! [SY178: $i,SY179: $i] :
( ~ ~ ( ( SV42 != SY178 )
| ~ ( rrx1a @ SY179 @ SV42 ) )
| ( rrx1a @ SY179 @ SY178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(224,plain,
! [SV43: $i] :
( ( ! [SY180: $i,SY181: $i] :
( ~ ~ ( ( SV43 != SY180 )
| ~ ( rrx2 @ SV43 @ SY181 ) )
| ( rrx2 @ SY180 @ SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(225,plain,
! [SV44: $i,SV1: $i] :
( ( ! [SY182: $i] :
( ~ ~ ( ( SV1 != SV44 )
| ~ ( rrx4a @ SY182 @ SV1 ) )
| ( rrx4a @ SY182 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(226,plain,
! [SV45: $i,SV2: $i] :
( ( ~ ~ ( ( SV2 != SV45 )
| ~ ( cc2 @ SV2 ) )
| ( cc2 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(227,plain,
! [SV46: $i,SV3: $i] :
( ( ! [SY183: $i] :
( ~ ~ ( ( SV3 != SV46 )
| ~ ( rrx4a @ SV3 @ SY183 ) )
| ( rrx4a @ SV46 @ SY183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(228,plain,
! [SV47: $i,SV4: $i] :
( ( ! [SY184: $i] :
( ~ ~ ( ( SV4 != SV47 )
| ~ ( rrx @ SY184 @ SV4 ) )
| ( rrx @ SY184 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(229,plain,
! [SV48: $i,SV5: $i] :
( ( ~ ~ ( ( SV5 != SV48 )
| ~ ( cowlThing @ SV5 ) )
| ( cowlThing @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(230,plain,
! [SV49: $i,SV6: $i] :
( ( ! [SY185: $i] :
( ~ ~ ( ~ ( rrx @ SV6 @ SV49 )
| ~ ( rrx @ SV6 @ SY185 ) )
| ( SV49 = SY185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(231,plain,
! [SV50: $i,SV7: $i] :
( ( ! [SY186: $i] :
( ~ ~ ( ( SV7 != SV50 )
| ~ ( rrx4 @ SV7 @ SY186 ) )
| ( rrx4 @ SV50 @ SY186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(232,plain,
! [SV51: $i,SV8: $i] :
( ( ! [SY187: $i] :
( ~ ~ ( ( SV8 != SV51 )
| ~ ( rrx4 @ SY187 @ SV8 ) )
| ( rrx4 @ SY187 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(233,plain,
! [SV52: $i,SV9: $i] :
( ( ! [SY188: $i] :
( ~ ~ ( ( SV9 != SV52 )
| ~ ( rrxa @ SV9 @ SY188 ) )
| ( rrxa @ SV52 @ SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(234,plain,
! [SV53: $i,SV10: $i] :
( ( ! [SY189: $i] :
( ~ ~ ( ( SV10 != SV53 )
| ~ ( rrx3a @ SV10 @ SY189 ) )
| ( rrx3a @ SV53 @ SY189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(235,plain,
! [SV54: $i,SV11: $i] :
( ( ~ ( rrx4 @ SV11 @ SV54 )
| ( rrx2 @ SV11 @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(236,plain,
! [SV55: $i,SV12: $i] :
( ( ! [SY190: $i] :
( ~ ~ ( ( SV12 != SV55 )
| ~ ( rrx2a @ SY190 @ SV12 ) )
| ( rrx2a @ SY190 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(237,plain,
! [SV56: $i,SV13: $i] :
( ( ! [SY191: $i] :
( ~ ~ ( ( SV13 != SV56 )
| ~ ( rrx @ SV13 @ SY191 ) )
| ( rrx @ SV56 @ SY191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(238,plain,
! [SV57: $i,SV14: $i] :
( ( ! [SY192: $i] :
( ~ ~ ( ( SV14 != SV57 )
| ~ ( rrx3 @ SY192 @ SV14 ) )
| ( rrx3 @ SY192 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(239,plain,
! [SV58: $i,SV15: $i] :
( ( ~ ~ ( ( SV15 != SV58 )
| ~ ( cc1 @ SV15 ) )
| ( cc1 @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(240,plain,
! [SV59: $i,SV16: $i] :
( ( ~ ( rrx4a @ SV16 @ SV59 )
| ( rrx2a @ SV16 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(241,plain,
! [SV60: $i,SV17: $i] :
( ( ~ ~ ( ( SV17 != SV60 )
| ~ ( xsd_integer @ SV17 ) )
| ( xsd_integer @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(242,plain,
! [SV61: $i,SV18: $i] :
( ( ~ ~ ( ( SV18 != SV61 )
| ~ ( cowlNothing @ SV18 ) )
| ( cowlNothing @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(243,plain,
! [SV62: $i,SV19: $i] :
( ( ! [SY193: $i] :
( ~ ~ ( ( SV19 != SV62 )
| ~ ( rrx1 @ SY193 @ SV19 ) )
| ( rrx1 @ SY193 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(244,plain,
! [SV63: $i,SV20: $i] :
( ( ~ ( rrx3a @ SV20 @ SV63 )
| ( rrx1a @ SV20 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(245,plain,
! [SV64: $i,SV21: $i] :
( ( ! [SY194: $i] :
( ~ ~ ( ( SV21 != SV64 )
| ~ ( rrx3a @ SY194 @ SV21 ) )
| ( rrx3a @ SY194 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(246,plain,
! [SV65: $i,SV22: $i] :
( ( ! [SY195: $i] :
( ~ ~ ( ( SV22 != SV65 )
| ~ ( rrx2a @ SV22 @ SY195 ) )
| ( rrx2a @ SV65 @ SY195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(247,plain,
! [SV66: $i,SV23: $i] :
( ( ~ ( rrx3a @ SV23 @ SV66 )
| ( rrxa @ SV23 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(248,plain,
! [SV67: $i,SV24: $i] :
( ( ! [SY196: $i] :
( ~ ~ ( ( SV24 != SV67 )
| ~ ( rrx3 @ SV24 @ SY196 ) )
| ( rrx3 @ SV67 @ SY196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(249,plain,
! [SV68: $i,SV25: $i] :
( ( ~ ( rrx3 @ SV25 @ SV68 )
| ( rrx @ SV25 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(250,plain,
! [SV69: $i,SV26: $i] :
( ( ! [SY197: $i] :
( ~ ~ ( ~ ( rrx4 @ SV26 @ SV69 )
| ~ ( rrx4 @ SV26 @ SY197 ) )
| ( SV69 = SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(251,plain,
! [SV70: $i,SV27: $i] :
( ( ~ ( rrx4 @ SV27 @ SV70 )
| ( rrx @ SV27 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(252,plain,
! [SV71: $i,SV28: $i] :
( ( ~ ~ ( ( SV28 != SV71 )
| ~ ( xsd_string @ SV28 ) )
| ( xsd_string @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(253,plain,
! [SV72: $i,SV29: $i] :
( ( ~ ~ ( ( SV29 != SV72 )
| ~ ( cUnsatisfiable @ SV29 ) )
| ( cUnsatisfiable @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(254,plain,
! [SV30: $i] :
( ( ~ ( cowlThing @ SV30 )
| ~ ~ ( cowlNothing @ SV30 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(255,plain,
! [SV73: $i,SV31: $i] :
( ( ! [SY198: $i] :
( ~ ~ ( ~ ( rrx4a @ SV31 @ SV73 )
| ~ ( rrx4a @ SV31 @ SY198 ) )
| ( SV73 = SY198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(256,plain,
! [SV74: $i,SV32: $i] :
( ( ! [SY199: $i] :
( ~ ~ ( ( SV32 != SV74 )
| ~ ( rrxa @ SY199 @ SV32 ) )
| ( rrxa @ SY199 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(257,plain,
! [SV75: $i,SV33: $i] :
( ( ! [SY200: $i] :
( ~ ~ ( ~ ( rrx3a @ SV33 @ SV75 )
| ~ ( rrx3a @ SV33 @ SY200 ) )
| ( SV75 = SY200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(258,plain,
! [SV76: $i,SV34: $i] :
( ( ~ ( rrx3 @ SV34 @ SV76 )
| ( rrx1 @ SV34 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(259,plain,
! [SV77: $i,SV35: $i] :
( ( ! [SY201: $i] :
( ~ ~ ( ( SV35 != SV77 )
| ~ ( rrx2 @ SY201 @ SV35 ) )
| ( rrx2 @ SY201 @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(260,plain,
! [SV78: $i,SV36: $i] :
( ( ! [SY202: $i] :
( ~ ~ ( ( SV36 != SV78 )
| ~ ( rrx1 @ SV36 @ SY202 ) )
| ( rrx1 @ SV78 @ SY202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(261,plain,
! [SV37: $i] :
( ( ~ ( ~ ( cUnsatisfiable @ SV37 )
| ~ ( ~ ~ ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) )
| ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
| ~ ~ ! [SY169: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY169 )
| ~ ( cc1 @ SY169 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) )
| ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
| ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
| ( cUnsatisfiable @ SV37 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(262,plain,
! [SV79: $i,SV38: $i] :
( ( ~ ( rrx4a @ SV38 @ SV79 )
| ( rrxa @ SV38 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(263,plain,
! [SV80: $i,SV39: $i] :
( ( ! [SY203: $i] :
( ~ ~ ( ~ ( rrx3 @ SV39 @ SV80 )
| ~ ( rrx3 @ SV39 @ SY203 ) )
| ( SV80 = SY203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(264,plain,
! [SV40: $i] :
( ( ~ ( ~ ( xsd_string @ SV40 )
| ~ ( xsd_integer @ SV40 ) )
| ~ ( ~ ~ ( xsd_integer @ SV40 )
| ( xsd_string @ SV40 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(265,plain,
! [SV81: $i,SV41: $i] :
( ( ! [SY204: $i] :
( ~ ~ ( ( SV41 != SV81 )
| ~ ( rrx1a @ SV41 @ SY204 ) )
| ( rrx1a @ SV81 @ SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(266,plain,
! [SV82: $i,SV42: $i] :
( ( ! [SY205: $i] :
( ~ ~ ( ( SV42 != SV82 )
| ~ ( rrx1a @ SY205 @ SV42 ) )
| ( rrx1a @ SY205 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(267,plain,
! [SV83: $i,SV43: $i] :
( ( ! [SY206: $i] :
( ~ ~ ( ( SV43 != SV83 )
| ~ ( rrx2 @ SV43 @ SY206 ) )
| ( rrx2 @ SV83 @ SY206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(268,plain,
! [SV84: $i,SV44: $i,SV1: $i] :
( ( ~ ~ ( ( SV1 != SV44 )
| ~ ( rrx4a @ SV84 @ SV1 ) )
| ( rrx4a @ SV84 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(269,plain,
! [SV45: $i,SV2: $i] :
( ( ( ~ ~ ( ( SV2 != SV45 )
| ~ ( cc2 @ SV2 ) ) )
= $true )
| ( ( cc2 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(270,plain,
! [SV85: $i,SV46: $i,SV3: $i] :
( ( ~ ~ ( ( SV3 != SV46 )
| ~ ( rrx4a @ SV3 @ SV85 ) )
| ( rrx4a @ SV46 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(271,plain,
! [SV86: $i,SV47: $i,SV4: $i] :
( ( ~ ~ ( ( SV4 != SV47 )
| ~ ( rrx @ SV86 @ SV4 ) )
| ( rrx @ SV86 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(272,plain,
! [SV48: $i,SV5: $i] :
( ( ( ~ ~ ( ( SV5 != SV48 )
| ~ ( cowlThing @ SV5 ) ) )
= $true )
| ( ( cowlThing @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(273,plain,
! [SV87: $i,SV49: $i,SV6: $i] :
( ( ~ ~ ( ~ ( rrx @ SV6 @ SV49 )
| ~ ( rrx @ SV6 @ SV87 ) )
| ( SV49 = SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(274,plain,
! [SV88: $i,SV50: $i,SV7: $i] :
( ( ~ ~ ( ( SV7 != SV50 )
| ~ ( rrx4 @ SV7 @ SV88 ) )
| ( rrx4 @ SV50 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(275,plain,
! [SV89: $i,SV51: $i,SV8: $i] :
( ( ~ ~ ( ( SV8 != SV51 )
| ~ ( rrx4 @ SV89 @ SV8 ) )
| ( rrx4 @ SV89 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(276,plain,
! [SV90: $i,SV52: $i,SV9: $i] :
( ( ~ ~ ( ( SV9 != SV52 )
| ~ ( rrxa @ SV9 @ SV90 ) )
| ( rrxa @ SV52 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(277,plain,
! [SV91: $i,SV53: $i,SV10: $i] :
( ( ~ ~ ( ( SV10 != SV53 )
| ~ ( rrx3a @ SV10 @ SV91 ) )
| ( rrx3a @ SV53 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(278,plain,
! [SV54: $i,SV11: $i] :
( ( ( ~ ( rrx4 @ SV11 @ SV54 ) )
= $true )
| ( ( rrx2 @ SV11 @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(279,plain,
! [SV92: $i,SV55: $i,SV12: $i] :
( ( ~ ~ ( ( SV12 != SV55 )
| ~ ( rrx2a @ SV92 @ SV12 ) )
| ( rrx2a @ SV92 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(280,plain,
! [SV93: $i,SV56: $i,SV13: $i] :
( ( ~ ~ ( ( SV13 != SV56 )
| ~ ( rrx @ SV13 @ SV93 ) )
| ( rrx @ SV56 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(281,plain,
! [SV94: $i,SV57: $i,SV14: $i] :
( ( ~ ~ ( ( SV14 != SV57 )
| ~ ( rrx3 @ SV94 @ SV14 ) )
| ( rrx3 @ SV94 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(282,plain,
! [SV58: $i,SV15: $i] :
( ( ( ~ ~ ( ( SV15 != SV58 )
| ~ ( cc1 @ SV15 ) ) )
= $true )
| ( ( cc1 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(283,plain,
! [SV59: $i,SV16: $i] :
( ( ( ~ ( rrx4a @ SV16 @ SV59 ) )
= $true )
| ( ( rrx2a @ SV16 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(284,plain,
! [SV60: $i,SV17: $i] :
( ( ( ~ ~ ( ( SV17 != SV60 )
| ~ ( xsd_integer @ SV17 ) ) )
= $true )
| ( ( xsd_integer @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(285,plain,
! [SV61: $i,SV18: $i] :
( ( ( ~ ~ ( ( SV18 != SV61 )
| ~ ( cowlNothing @ SV18 ) ) )
= $true )
| ( ( cowlNothing @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(286,plain,
! [SV95: $i,SV62: $i,SV19: $i] :
( ( ~ ~ ( ( SV19 != SV62 )
| ~ ( rrx1 @ SV95 @ SV19 ) )
| ( rrx1 @ SV95 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(287,plain,
! [SV63: $i,SV20: $i] :
( ( ( ~ ( rrx3a @ SV20 @ SV63 ) )
= $true )
| ( ( rrx1a @ SV20 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(288,plain,
! [SV96: $i,SV64: $i,SV21: $i] :
( ( ~ ~ ( ( SV21 != SV64 )
| ~ ( rrx3a @ SV96 @ SV21 ) )
| ( rrx3a @ SV96 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(289,plain,
! [SV97: $i,SV65: $i,SV22: $i] :
( ( ~ ~ ( ( SV22 != SV65 )
| ~ ( rrx2a @ SV22 @ SV97 ) )
| ( rrx2a @ SV65 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(290,plain,
! [SV66: $i,SV23: $i] :
( ( ( ~ ( rrx3a @ SV23 @ SV66 ) )
= $true )
| ( ( rrxa @ SV23 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(291,plain,
! [SV98: $i,SV67: $i,SV24: $i] :
( ( ~ ~ ( ( SV24 != SV67 )
| ~ ( rrx3 @ SV24 @ SV98 ) )
| ( rrx3 @ SV67 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(292,plain,
! [SV68: $i,SV25: $i] :
( ( ( ~ ( rrx3 @ SV25 @ SV68 ) )
= $true )
| ( ( rrx @ SV25 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(293,plain,
! [SV99: $i,SV69: $i,SV26: $i] :
( ( ~ ~ ( ~ ( rrx4 @ SV26 @ SV69 )
| ~ ( rrx4 @ SV26 @ SV99 ) )
| ( SV69 = SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(294,plain,
! [SV70: $i,SV27: $i] :
( ( ( ~ ( rrx4 @ SV27 @ SV70 ) )
= $true )
| ( ( rrx @ SV27 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(295,plain,
! [SV71: $i,SV28: $i] :
( ( ( ~ ~ ( ( SV28 != SV71 )
| ~ ( xsd_string @ SV28 ) ) )
= $true )
| ( ( xsd_string @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(296,plain,
! [SV72: $i,SV29: $i] :
( ( ( ~ ~ ( ( SV29 != SV72 )
| ~ ( cUnsatisfiable @ SV29 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(297,plain,
! [SV30: $i] :
( ( ~ ( cowlThing @ SV30 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(298,plain,
! [SV30: $i] :
( ( ~ ~ ( cowlNothing @ SV30 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[254]) ).
thf(299,plain,
! [SV100: $i,SV73: $i,SV31: $i] :
( ( ~ ~ ( ~ ( rrx4a @ SV31 @ SV73 )
| ~ ( rrx4a @ SV31 @ SV100 ) )
| ( SV73 = SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(300,plain,
! [SV101: $i,SV74: $i,SV32: $i] :
( ( ~ ~ ( ( SV32 != SV74 )
| ~ ( rrxa @ SV101 @ SV32 ) )
| ( rrxa @ SV101 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(301,plain,
! [SV102: $i,SV75: $i,SV33: $i] :
( ( ~ ~ ( ~ ( rrx3a @ SV33 @ SV75 )
| ~ ( rrx3a @ SV33 @ SV102 ) )
| ( SV75 = SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(302,plain,
! [SV76: $i,SV34: $i] :
( ( ( ~ ( rrx3 @ SV34 @ SV76 ) )
= $true )
| ( ( rrx1 @ SV34 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(303,plain,
! [SV103: $i,SV77: $i,SV35: $i] :
( ( ~ ~ ( ( SV35 != SV77 )
| ~ ( rrx2 @ SV103 @ SV35 ) )
| ( rrx2 @ SV103 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(304,plain,
! [SV104: $i,SV78: $i,SV36: $i] :
( ( ~ ~ ( ( SV36 != SV78 )
| ~ ( rrx1 @ SV36 @ SV104 ) )
| ( rrx1 @ SV78 @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(305,plain,
! [SV37: $i] :
( ( ~ ( ~ ( cUnsatisfiable @ SV37 )
| ~ ( ~ ~ ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) )
| ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
| ~ ~ ! [SY169: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY169 )
| ~ ( cc1 @ SY169 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(306,plain,
! [SV37: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) )
| ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
| ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
| ( cUnsatisfiable @ SV37 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(307,plain,
! [SV79: $i,SV38: $i] :
( ( ( ~ ( rrx4a @ SV38 @ SV79 ) )
= $true )
| ( ( rrxa @ SV38 @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(308,plain,
! [SV105: $i,SV80: $i,SV39: $i] :
( ( ~ ~ ( ~ ( rrx3 @ SV39 @ SV80 )
| ~ ( rrx3 @ SV39 @ SV105 ) )
| ( SV80 = SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(309,plain,
! [SV40: $i] :
( ( ~ ( ~ ( xsd_string @ SV40 )
| ~ ( xsd_integer @ SV40 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(310,plain,
! [SV40: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV40 )
| ( xsd_string @ SV40 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(311,plain,
! [SV106: $i,SV81: $i,SV41: $i] :
( ( ~ ~ ( ( SV41 != SV81 )
| ~ ( rrx1a @ SV41 @ SV106 ) )
| ( rrx1a @ SV81 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(312,plain,
! [SV107: $i,SV82: $i,SV42: $i] :
( ( ~ ~ ( ( SV42 != SV82 )
| ~ ( rrx1a @ SV107 @ SV42 ) )
| ( rrx1a @ SV107 @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(313,plain,
! [SV108: $i,SV83: $i,SV43: $i] :
( ( ~ ~ ( ( SV43 != SV83 )
| ~ ( rrx2 @ SV43 @ SV108 ) )
| ( rrx2 @ SV83 @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(314,plain,
! [SV84: $i,SV44: $i,SV1: $i] :
( ( ( ~ ~ ( ( SV1 != SV44 )
| ~ ( rrx4a @ SV84 @ SV1 ) ) )
= $true )
| ( ( rrx4a @ SV84 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(315,plain,
! [SV45: $i,SV2: $i] :
( ( ( ~ ( ( SV2 != SV45 )
| ~ ( cc2 @ SV2 ) ) )
= $false )
| ( ( cc2 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(316,plain,
! [SV85: $i,SV46: $i,SV3: $i] :
( ( ( ~ ~ ( ( SV3 != SV46 )
| ~ ( rrx4a @ SV3 @ SV85 ) ) )
= $true )
| ( ( rrx4a @ SV46 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(317,plain,
! [SV86: $i,SV47: $i,SV4: $i] :
( ( ( ~ ~ ( ( SV4 != SV47 )
| ~ ( rrx @ SV86 @ SV4 ) ) )
= $true )
| ( ( rrx @ SV86 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(318,plain,
! [SV48: $i,SV5: $i] :
( ( ( ~ ( ( SV5 != SV48 )
| ~ ( cowlThing @ SV5 ) ) )
= $false )
| ( ( cowlThing @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(319,plain,
! [SV87: $i,SV49: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( rrx @ SV6 @ SV49 )
| ~ ( rrx @ SV6 @ SV87 ) ) )
= $true )
| ( ( SV49 = SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(320,plain,
! [SV88: $i,SV50: $i,SV7: $i] :
( ( ( ~ ~ ( ( SV7 != SV50 )
| ~ ( rrx4 @ SV7 @ SV88 ) ) )
= $true )
| ( ( rrx4 @ SV50 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(321,plain,
! [SV89: $i,SV51: $i,SV8: $i] :
( ( ( ~ ~ ( ( SV8 != SV51 )
| ~ ( rrx4 @ SV89 @ SV8 ) ) )
= $true )
| ( ( rrx4 @ SV89 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(322,plain,
! [SV90: $i,SV52: $i,SV9: $i] :
( ( ( ~ ~ ( ( SV9 != SV52 )
| ~ ( rrxa @ SV9 @ SV90 ) ) )
= $true )
| ( ( rrxa @ SV52 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(323,plain,
! [SV91: $i,SV53: $i,SV10: $i] :
( ( ( ~ ~ ( ( SV10 != SV53 )
| ~ ( rrx3a @ SV10 @ SV91 ) ) )
= $true )
| ( ( rrx3a @ SV53 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(324,plain,
! [SV54: $i,SV11: $i] :
( ( ( rrx4 @ SV11 @ SV54 )
= $false )
| ( ( rrx2 @ SV11 @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(325,plain,
! [SV92: $i,SV55: $i,SV12: $i] :
( ( ( ~ ~ ( ( SV12 != SV55 )
| ~ ( rrx2a @ SV92 @ SV12 ) ) )
= $true )
| ( ( rrx2a @ SV92 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(326,plain,
! [SV93: $i,SV56: $i,SV13: $i] :
( ( ( ~ ~ ( ( SV13 != SV56 )
| ~ ( rrx @ SV13 @ SV93 ) ) )
= $true )
| ( ( rrx @ SV56 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(327,plain,
! [SV94: $i,SV57: $i,SV14: $i] :
( ( ( ~ ~ ( ( SV14 != SV57 )
| ~ ( rrx3 @ SV94 @ SV14 ) ) )
= $true )
| ( ( rrx3 @ SV94 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(328,plain,
! [SV58: $i,SV15: $i] :
( ( ( ~ ( ( SV15 != SV58 )
| ~ ( cc1 @ SV15 ) ) )
= $false )
| ( ( cc1 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(329,plain,
! [SV59: $i,SV16: $i] :
( ( ( rrx4a @ SV16 @ SV59 )
= $false )
| ( ( rrx2a @ SV16 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(330,plain,
! [SV60: $i,SV17: $i] :
( ( ( ~ ( ( SV17 != SV60 )
| ~ ( xsd_integer @ SV17 ) ) )
= $false )
| ( ( xsd_integer @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(331,plain,
! [SV61: $i,SV18: $i] :
( ( ( ~ ( ( SV18 != SV61 )
| ~ ( cowlNothing @ SV18 ) ) )
= $false )
| ( ( cowlNothing @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(332,plain,
! [SV95: $i,SV62: $i,SV19: $i] :
( ( ( ~ ~ ( ( SV19 != SV62 )
| ~ ( rrx1 @ SV95 @ SV19 ) ) )
= $true )
| ( ( rrx1 @ SV95 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(333,plain,
! [SV63: $i,SV20: $i] :
( ( ( rrx3a @ SV20 @ SV63 )
= $false )
| ( ( rrx1a @ SV20 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(334,plain,
! [SV96: $i,SV64: $i,SV21: $i] :
( ( ( ~ ~ ( ( SV21 != SV64 )
| ~ ( rrx3a @ SV96 @ SV21 ) ) )
= $true )
| ( ( rrx3a @ SV96 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(335,plain,
! [SV97: $i,SV65: $i,SV22: $i] :
( ( ( ~ ~ ( ( SV22 != SV65 )
| ~ ( rrx2a @ SV22 @ SV97 ) ) )
= $true )
| ( ( rrx2a @ SV65 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(336,plain,
! [SV66: $i,SV23: $i] :
( ( ( rrx3a @ SV23 @ SV66 )
= $false )
| ( ( rrxa @ SV23 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(337,plain,
! [SV98: $i,SV67: $i,SV24: $i] :
( ( ( ~ ~ ( ( SV24 != SV67 )
| ~ ( rrx3 @ SV24 @ SV98 ) ) )
= $true )
| ( ( rrx3 @ SV67 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(338,plain,
! [SV68: $i,SV25: $i] :
( ( ( rrx3 @ SV25 @ SV68 )
= $false )
| ( ( rrx @ SV25 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(339,plain,
! [SV99: $i,SV69: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( rrx4 @ SV26 @ SV69 )
| ~ ( rrx4 @ SV26 @ SV99 ) ) )
= $true )
| ( ( SV69 = SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(340,plain,
! [SV70: $i,SV27: $i] :
( ( ( rrx4 @ SV27 @ SV70 )
= $false )
| ( ( rrx @ SV27 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(341,plain,
! [SV71: $i,SV28: $i] :
( ( ( ~ ( ( SV28 != SV71 )
| ~ ( xsd_string @ SV28 ) ) )
= $false )
| ( ( xsd_string @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(342,plain,
! [SV72: $i,SV29: $i] :
( ( ( ~ ( ( SV29 != SV72 )
| ~ ( cUnsatisfiable @ SV29 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(343,plain,
! [SV30: $i] :
( ( cowlThing @ SV30 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(344,plain,
! [SV30: $i] :
( ( ~ ( cowlNothing @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(345,plain,
! [SV100: $i,SV73: $i,SV31: $i] :
( ( ( ~ ~ ( ~ ( rrx4a @ SV31 @ SV73 )
| ~ ( rrx4a @ SV31 @ SV100 ) ) )
= $true )
| ( ( SV73 = SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(346,plain,
! [SV101: $i,SV74: $i,SV32: $i] :
( ( ( ~ ~ ( ( SV32 != SV74 )
| ~ ( rrxa @ SV101 @ SV32 ) ) )
= $true )
| ( ( rrxa @ SV101 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(347,plain,
! [SV102: $i,SV75: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( rrx3a @ SV33 @ SV75 )
| ~ ( rrx3a @ SV33 @ SV102 ) ) )
= $true )
| ( ( SV75 = SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(348,plain,
! [SV76: $i,SV34: $i] :
( ( ( rrx3 @ SV34 @ SV76 )
= $false )
| ( ( rrx1 @ SV34 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(349,plain,
! [SV103: $i,SV77: $i,SV35: $i] :
( ( ( ~ ~ ( ( SV35 != SV77 )
| ~ ( rrx2 @ SV103 @ SV35 ) ) )
= $true )
| ( ( rrx2 @ SV103 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(350,plain,
! [SV104: $i,SV78: $i,SV36: $i] :
( ( ( ~ ~ ( ( SV36 != SV78 )
| ~ ( rrx1 @ SV36 @ SV104 ) ) )
= $true )
| ( ( rrx1 @ SV78 @ SV104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(351,plain,
! [SV37: $i] :
( ( ~ ( cUnsatisfiable @ SV37 )
| ~ ( ~ ~ ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) )
| ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
| ~ ~ ! [SY169: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY169 )
| ~ ( cc1 @ SY169 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(352,plain,
! [SV37: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) )
| ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
| ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
| ( cUnsatisfiable @ SV37 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(353,plain,
! [SV79: $i,SV38: $i] :
( ( ( rrx4a @ SV38 @ SV79 )
= $false )
| ( ( rrxa @ SV38 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(354,plain,
! [SV105: $i,SV80: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ( rrx3 @ SV39 @ SV80 )
| ~ ( rrx3 @ SV39 @ SV105 ) ) )
= $true )
| ( ( SV80 = SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(355,plain,
! [SV40: $i] :
( ( ~ ( xsd_string @ SV40 )
| ~ ( xsd_integer @ SV40 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(356,plain,
! [SV40: $i] :
( ( ~ ~ ( xsd_integer @ SV40 )
| ( xsd_string @ SV40 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(357,plain,
! [SV106: $i,SV81: $i,SV41: $i] :
( ( ( ~ ~ ( ( SV41 != SV81 )
| ~ ( rrx1a @ SV41 @ SV106 ) ) )
= $true )
| ( ( rrx1a @ SV81 @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(358,plain,
! [SV107: $i,SV82: $i,SV42: $i] :
( ( ( ~ ~ ( ( SV42 != SV82 )
| ~ ( rrx1a @ SV107 @ SV42 ) ) )
= $true )
| ( ( rrx1a @ SV107 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(359,plain,
! [SV108: $i,SV83: $i,SV43: $i] :
( ( ( ~ ~ ( ( SV43 != SV83 )
| ~ ( rrx2 @ SV43 @ SV108 ) ) )
= $true )
| ( ( rrx2 @ SV83 @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(360,plain,
! [SV84: $i,SV44: $i,SV1: $i] :
( ( ( ~ ( ( SV1 != SV44 )
| ~ ( rrx4a @ SV84 @ SV1 ) ) )
= $false )
| ( ( rrx4a @ SV84 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(361,plain,
! [SV45: $i,SV2: $i] :
( ( ( ( SV2 != SV45 )
| ~ ( cc2 @ SV2 ) )
= $true )
| ( ( cc2 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(362,plain,
! [SV85: $i,SV46: $i,SV3: $i] :
( ( ( ~ ( ( SV3 != SV46 )
| ~ ( rrx4a @ SV3 @ SV85 ) ) )
= $false )
| ( ( rrx4a @ SV46 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(363,plain,
! [SV86: $i,SV47: $i,SV4: $i] :
( ( ( ~ ( ( SV4 != SV47 )
| ~ ( rrx @ SV86 @ SV4 ) ) )
= $false )
| ( ( rrx @ SV86 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(364,plain,
! [SV48: $i,SV5: $i] :
( ( ( ( SV5 != SV48 )
| ~ ( cowlThing @ SV5 ) )
= $true )
| ( ( cowlThing @ SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[318]) ).
thf(365,plain,
! [SV87: $i,SV49: $i,SV6: $i] :
( ( ( ~ ( ~ ( rrx @ SV6 @ SV49 )
| ~ ( rrx @ SV6 @ SV87 ) ) )
= $false )
| ( ( SV49 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(366,plain,
! [SV88: $i,SV50: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != SV50 )
| ~ ( rrx4 @ SV7 @ SV88 ) ) )
= $false )
| ( ( rrx4 @ SV50 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(367,plain,
! [SV89: $i,SV51: $i,SV8: $i] :
( ( ( ~ ( ( SV8 != SV51 )
| ~ ( rrx4 @ SV89 @ SV8 ) ) )
= $false )
| ( ( rrx4 @ SV89 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(368,plain,
! [SV90: $i,SV52: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV52 )
| ~ ( rrxa @ SV9 @ SV90 ) ) )
= $false )
| ( ( rrxa @ SV52 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(369,plain,
! [SV91: $i,SV53: $i,SV10: $i] :
( ( ( ~ ( ( SV10 != SV53 )
| ~ ( rrx3a @ SV10 @ SV91 ) ) )
= $false )
| ( ( rrx3a @ SV53 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(370,plain,
! [SV92: $i,SV55: $i,SV12: $i] :
( ( ( ~ ( ( SV12 != SV55 )
| ~ ( rrx2a @ SV92 @ SV12 ) ) )
= $false )
| ( ( rrx2a @ SV92 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(371,plain,
! [SV93: $i,SV56: $i,SV13: $i] :
( ( ( ~ ( ( SV13 != SV56 )
| ~ ( rrx @ SV13 @ SV93 ) ) )
= $false )
| ( ( rrx @ SV56 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(372,plain,
! [SV94: $i,SV57: $i,SV14: $i] :
( ( ( ~ ( ( SV14 != SV57 )
| ~ ( rrx3 @ SV94 @ SV14 ) ) )
= $false )
| ( ( rrx3 @ SV94 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(373,plain,
! [SV58: $i,SV15: $i] :
( ( ( ( SV15 != SV58 )
| ~ ( cc1 @ SV15 ) )
= $true )
| ( ( cc1 @ SV58 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(374,plain,
! [SV60: $i,SV17: $i] :
( ( ( ( SV17 != SV60 )
| ~ ( xsd_integer @ SV17 ) )
= $true )
| ( ( xsd_integer @ SV60 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(375,plain,
! [SV61: $i,SV18: $i] :
( ( ( ( SV18 != SV61 )
| ~ ( cowlNothing @ SV18 ) )
= $true )
| ( ( cowlNothing @ SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(376,plain,
! [SV95: $i,SV62: $i,SV19: $i] :
( ( ( ~ ( ( SV19 != SV62 )
| ~ ( rrx1 @ SV95 @ SV19 ) ) )
= $false )
| ( ( rrx1 @ SV95 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(377,plain,
! [SV96: $i,SV64: $i,SV21: $i] :
( ( ( ~ ( ( SV21 != SV64 )
| ~ ( rrx3a @ SV96 @ SV21 ) ) )
= $false )
| ( ( rrx3a @ SV96 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(378,plain,
! [SV97: $i,SV65: $i,SV22: $i] :
( ( ( ~ ( ( SV22 != SV65 )
| ~ ( rrx2a @ SV22 @ SV97 ) ) )
= $false )
| ( ( rrx2a @ SV65 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(379,plain,
! [SV98: $i,SV67: $i,SV24: $i] :
( ( ( ~ ( ( SV24 != SV67 )
| ~ ( rrx3 @ SV24 @ SV98 ) ) )
= $false )
| ( ( rrx3 @ SV67 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(380,plain,
! [SV99: $i,SV69: $i,SV26: $i] :
( ( ( ~ ( ~ ( rrx4 @ SV26 @ SV69 )
| ~ ( rrx4 @ SV26 @ SV99 ) ) )
= $false )
| ( ( SV69 = SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(381,plain,
! [SV71: $i,SV28: $i] :
( ( ( ( SV28 != SV71 )
| ~ ( xsd_string @ SV28 ) )
= $true )
| ( ( xsd_string @ SV71 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(382,plain,
! [SV72: $i,SV29: $i] :
( ( ( ( SV29 != SV72 )
| ~ ( cUnsatisfiable @ SV29 ) )
= $true )
| ( ( cUnsatisfiable @ SV72 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(383,plain,
! [SV30: $i] :
( ( cowlNothing @ SV30 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(384,plain,
! [SV100: $i,SV73: $i,SV31: $i] :
( ( ( ~ ( ~ ( rrx4a @ SV31 @ SV73 )
| ~ ( rrx4a @ SV31 @ SV100 ) ) )
= $false )
| ( ( SV73 = SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(385,plain,
! [SV101: $i,SV74: $i,SV32: $i] :
( ( ( ~ ( ( SV32 != SV74 )
| ~ ( rrxa @ SV101 @ SV32 ) ) )
= $false )
| ( ( rrxa @ SV101 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(386,plain,
! [SV102: $i,SV75: $i,SV33: $i] :
( ( ( ~ ( ~ ( rrx3a @ SV33 @ SV75 )
| ~ ( rrx3a @ SV33 @ SV102 ) ) )
= $false )
| ( ( SV75 = SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(387,plain,
! [SV103: $i,SV77: $i,SV35: $i] :
( ( ( ~ ( ( SV35 != SV77 )
| ~ ( rrx2 @ SV103 @ SV35 ) ) )
= $false )
| ( ( rrx2 @ SV103 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(388,plain,
! [SV104: $i,SV78: $i,SV36: $i] :
( ( ( ~ ( ( SV36 != SV78 )
| ~ ( rrx1 @ SV36 @ SV104 ) ) )
= $false )
| ( ( rrx1 @ SV78 @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(389,plain,
! [SV37: $i] :
( ( ( ~ ( cUnsatisfiable @ SV37 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) )
| ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
| ~ ~ ! [SY169: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY169 )
| ~ ( cc1 @ SY169 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(390,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) )
| ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
| ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(391,plain,
! [SV105: $i,SV80: $i,SV39: $i] :
( ( ( ~ ( ~ ( rrx3 @ SV39 @ SV80 )
| ~ ( rrx3 @ SV39 @ SV105 ) ) )
= $false )
| ( ( SV80 = SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(392,plain,
! [SV40: $i] :
( ( ( ~ ( xsd_string @ SV40 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(393,plain,
! [SV40: $i] :
( ( ( ~ ~ ( xsd_integer @ SV40 ) )
= $true )
| ( ( xsd_string @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(394,plain,
! [SV106: $i,SV81: $i,SV41: $i] :
( ( ( ~ ( ( SV41 != SV81 )
| ~ ( rrx1a @ SV41 @ SV106 ) ) )
= $false )
| ( ( rrx1a @ SV81 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(395,plain,
! [SV107: $i,SV82: $i,SV42: $i] :
( ( ( ~ ( ( SV42 != SV82 )
| ~ ( rrx1a @ SV107 @ SV42 ) ) )
= $false )
| ( ( rrx1a @ SV107 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(396,plain,
! [SV108: $i,SV83: $i,SV43: $i] :
( ( ( ~ ( ( SV43 != SV83 )
| ~ ( rrx2 @ SV43 @ SV108 ) ) )
= $false )
| ( ( rrx2 @ SV83 @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(397,plain,
! [SV84: $i,SV44: $i,SV1: $i] :
( ( ( ( SV1 != SV44 )
| ~ ( rrx4a @ SV84 @ SV1 ) )
= $true )
| ( ( rrx4a @ SV84 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(398,plain,
! [SV45: $i,SV2: $i] :
( ( ( SV2 != SV45 )
= $true )
| ( ( ~ ( cc2 @ SV2 ) )
= $true )
| ( ( cc2 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(399,plain,
! [SV85: $i,SV46: $i,SV3: $i] :
( ( ( ( SV3 != SV46 )
| ~ ( rrx4a @ SV3 @ SV85 ) )
= $true )
| ( ( rrx4a @ SV46 @ SV85 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(400,plain,
! [SV86: $i,SV47: $i,SV4: $i] :
( ( ( ( SV4 != SV47 )
| ~ ( rrx @ SV86 @ SV4 ) )
= $true )
| ( ( rrx @ SV86 @ SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(401,plain,
! [SV48: $i,SV5: $i] :
( ( ( SV5 != SV48 )
= $true )
| ( ( ~ ( cowlThing @ SV5 ) )
= $true )
| ( ( cowlThing @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(402,plain,
! [SV87: $i,SV49: $i,SV6: $i] :
( ( ( ~ ( rrx @ SV6 @ SV49 )
| ~ ( rrx @ SV6 @ SV87 ) )
= $true )
| ( ( SV49 = SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(403,plain,
! [SV88: $i,SV50: $i,SV7: $i] :
( ( ( ( SV7 != SV50 )
| ~ ( rrx4 @ SV7 @ SV88 ) )
= $true )
| ( ( rrx4 @ SV50 @ SV88 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(404,plain,
! [SV89: $i,SV51: $i,SV8: $i] :
( ( ( ( SV8 != SV51 )
| ~ ( rrx4 @ SV89 @ SV8 ) )
= $true )
| ( ( rrx4 @ SV89 @ SV51 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[367]) ).
thf(405,plain,
! [SV90: $i,SV52: $i,SV9: $i] :
( ( ( ( SV9 != SV52 )
| ~ ( rrxa @ SV9 @ SV90 ) )
= $true )
| ( ( rrxa @ SV52 @ SV90 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(406,plain,
! [SV91: $i,SV53: $i,SV10: $i] :
( ( ( ( SV10 != SV53 )
| ~ ( rrx3a @ SV10 @ SV91 ) )
= $true )
| ( ( rrx3a @ SV53 @ SV91 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(407,plain,
! [SV92: $i,SV55: $i,SV12: $i] :
( ( ( ( SV12 != SV55 )
| ~ ( rrx2a @ SV92 @ SV12 ) )
= $true )
| ( ( rrx2a @ SV92 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(408,plain,
! [SV93: $i,SV56: $i,SV13: $i] :
( ( ( ( SV13 != SV56 )
| ~ ( rrx @ SV13 @ SV93 ) )
= $true )
| ( ( rrx @ SV56 @ SV93 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(409,plain,
! [SV94: $i,SV57: $i,SV14: $i] :
( ( ( ( SV14 != SV57 )
| ~ ( rrx3 @ SV94 @ SV14 ) )
= $true )
| ( ( rrx3 @ SV94 @ SV57 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(410,plain,
! [SV58: $i,SV15: $i] :
( ( ( SV15 != SV58 )
= $true )
| ( ( ~ ( cc1 @ SV15 ) )
= $true )
| ( ( cc1 @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(411,plain,
! [SV60: $i,SV17: $i] :
( ( ( SV17 != SV60 )
= $true )
| ( ( ~ ( xsd_integer @ SV17 ) )
= $true )
| ( ( xsd_integer @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(412,plain,
! [SV61: $i,SV18: $i] :
( ( ( SV18 != SV61 )
= $true )
| ( ( ~ ( cowlNothing @ SV18 ) )
= $true )
| ( ( cowlNothing @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(413,plain,
! [SV95: $i,SV62: $i,SV19: $i] :
( ( ( ( SV19 != SV62 )
| ~ ( rrx1 @ SV95 @ SV19 ) )
= $true )
| ( ( rrx1 @ SV95 @ SV62 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[376]) ).
thf(414,plain,
! [SV96: $i,SV64: $i,SV21: $i] :
( ( ( ( SV21 != SV64 )
| ~ ( rrx3a @ SV96 @ SV21 ) )
= $true )
| ( ( rrx3a @ SV96 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(415,plain,
! [SV97: $i,SV65: $i,SV22: $i] :
( ( ( ( SV22 != SV65 )
| ~ ( rrx2a @ SV22 @ SV97 ) )
= $true )
| ( ( rrx2a @ SV65 @ SV97 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(416,plain,
! [SV98: $i,SV67: $i,SV24: $i] :
( ( ( ( SV24 != SV67 )
| ~ ( rrx3 @ SV24 @ SV98 ) )
= $true )
| ( ( rrx3 @ SV67 @ SV98 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(417,plain,
! [SV99: $i,SV69: $i,SV26: $i] :
( ( ( ~ ( rrx4 @ SV26 @ SV69 )
| ~ ( rrx4 @ SV26 @ SV99 ) )
= $true )
| ( ( SV69 = SV99 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(418,plain,
! [SV71: $i,SV28: $i] :
( ( ( SV28 != SV71 )
= $true )
| ( ( ~ ( xsd_string @ SV28 ) )
= $true )
| ( ( xsd_string @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(419,plain,
! [SV72: $i,SV29: $i] :
( ( ( SV29 != SV72 )
= $true )
| ( ( ~ ( cUnsatisfiable @ SV29 ) )
= $true )
| ( ( cUnsatisfiable @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(420,plain,
! [SV100: $i,SV73: $i,SV31: $i] :
( ( ( ~ ( rrx4a @ SV31 @ SV73 )
| ~ ( rrx4a @ SV31 @ SV100 ) )
= $true )
| ( ( SV73 = SV100 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(421,plain,
! [SV101: $i,SV74: $i,SV32: $i] :
( ( ( ( SV32 != SV74 )
| ~ ( rrxa @ SV101 @ SV32 ) )
= $true )
| ( ( rrxa @ SV101 @ SV74 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(422,plain,
! [SV102: $i,SV75: $i,SV33: $i] :
( ( ( ~ ( rrx3a @ SV33 @ SV75 )
| ~ ( rrx3a @ SV33 @ SV102 ) )
= $true )
| ( ( SV75 = SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(423,plain,
! [SV103: $i,SV77: $i,SV35: $i] :
( ( ( ( SV35 != SV77 )
| ~ ( rrx2 @ SV103 @ SV35 ) )
= $true )
| ( ( rrx2 @ SV103 @ SV77 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(424,plain,
! [SV104: $i,SV78: $i,SV36: $i] :
( ( ( ( SV36 != SV78 )
| ~ ( rrx1 @ SV36 @ SV104 ) )
= $true )
| ( ( rrx1 @ SV78 @ SV104 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(425,plain,
! [SV37: $i] :
( ( ( cUnsatisfiable @ SV37 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) )
| ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
| ~ ~ ! [SY169: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY169 )
| ~ ( cc1 @ SY169 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(426,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) )
| ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
| ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(427,plain,
! [SV105: $i,SV80: $i,SV39: $i] :
( ( ( ~ ( rrx3 @ SV39 @ SV80 )
| ~ ( rrx3 @ SV39 @ SV105 ) )
= $true )
| ( ( SV80 = SV105 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(428,plain,
! [SV40: $i] :
( ( ( xsd_string @ SV40 )
= $false )
| ( ( ~ ( xsd_integer @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(429,plain,
! [SV40: $i] :
( ( ( ~ ( xsd_integer @ SV40 ) )
= $false )
| ( ( xsd_string @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(430,plain,
! [SV106: $i,SV81: $i,SV41: $i] :
( ( ( ( SV41 != SV81 )
| ~ ( rrx1a @ SV41 @ SV106 ) )
= $true )
| ( ( rrx1a @ SV81 @ SV106 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(431,plain,
! [SV107: $i,SV82: $i,SV42: $i] :
( ( ( ( SV42 != SV82 )
| ~ ( rrx1a @ SV107 @ SV42 ) )
= $true )
| ( ( rrx1a @ SV107 @ SV82 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(432,plain,
! [SV108: $i,SV83: $i,SV43: $i] :
( ( ( ( SV43 != SV83 )
| ~ ( rrx2 @ SV43 @ SV108 ) )
= $true )
| ( ( rrx2 @ SV83 @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(433,plain,
! [SV84: $i,SV44: $i,SV1: $i] :
( ( ( SV1 != SV44 )
= $true )
| ( ( ~ ( rrx4a @ SV84 @ SV1 ) )
= $true )
| ( ( rrx4a @ SV84 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(434,plain,
! [SV45: $i,SV2: $i] :
( ( ( SV2 = SV45 )
= $false )
| ( ( ~ ( cc2 @ SV2 ) )
= $true )
| ( ( cc2 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(435,plain,
! [SV85: $i,SV46: $i,SV3: $i] :
( ( ( SV3 != SV46 )
= $true )
| ( ( ~ ( rrx4a @ SV3 @ SV85 ) )
= $true )
| ( ( rrx4a @ SV46 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(436,plain,
! [SV86: $i,SV47: $i,SV4: $i] :
( ( ( SV4 != SV47 )
= $true )
| ( ( ~ ( rrx @ SV86 @ SV4 ) )
= $true )
| ( ( rrx @ SV86 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(437,plain,
! [SV48: $i,SV5: $i] :
( ( ( SV5 = SV48 )
= $false )
| ( ( ~ ( cowlThing @ SV5 ) )
= $true )
| ( ( cowlThing @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(438,plain,
! [SV87: $i,SV49: $i,SV6: $i] :
( ( ( ~ ( rrx @ SV6 @ SV49 ) )
= $true )
| ( ( ~ ( rrx @ SV6 @ SV87 ) )
= $true )
| ( ( SV49 = SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(439,plain,
! [SV88: $i,SV50: $i,SV7: $i] :
( ( ( SV7 != SV50 )
= $true )
| ( ( ~ ( rrx4 @ SV7 @ SV88 ) )
= $true )
| ( ( rrx4 @ SV50 @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(440,plain,
! [SV89: $i,SV51: $i,SV8: $i] :
( ( ( SV8 != SV51 )
= $true )
| ( ( ~ ( rrx4 @ SV89 @ SV8 ) )
= $true )
| ( ( rrx4 @ SV89 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(441,plain,
! [SV90: $i,SV52: $i,SV9: $i] :
( ( ( SV9 != SV52 )
= $true )
| ( ( ~ ( rrxa @ SV9 @ SV90 ) )
= $true )
| ( ( rrxa @ SV52 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(442,plain,
! [SV91: $i,SV53: $i,SV10: $i] :
( ( ( SV10 != SV53 )
= $true )
| ( ( ~ ( rrx3a @ SV10 @ SV91 ) )
= $true )
| ( ( rrx3a @ SV53 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(443,plain,
! [SV92: $i,SV55: $i,SV12: $i] :
( ( ( SV12 != SV55 )
= $true )
| ( ( ~ ( rrx2a @ SV92 @ SV12 ) )
= $true )
| ( ( rrx2a @ SV92 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(444,plain,
! [SV93: $i,SV56: $i,SV13: $i] :
( ( ( SV13 != SV56 )
= $true )
| ( ( ~ ( rrx @ SV13 @ SV93 ) )
= $true )
| ( ( rrx @ SV56 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(445,plain,
! [SV94: $i,SV57: $i,SV14: $i] :
( ( ( SV14 != SV57 )
= $true )
| ( ( ~ ( rrx3 @ SV94 @ SV14 ) )
= $true )
| ( ( rrx3 @ SV94 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(446,plain,
! [SV58: $i,SV15: $i] :
( ( ( SV15 = SV58 )
= $false )
| ( ( ~ ( cc1 @ SV15 ) )
= $true )
| ( ( cc1 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(447,plain,
! [SV60: $i,SV17: $i] :
( ( ( SV17 = SV60 )
= $false )
| ( ( ~ ( xsd_integer @ SV17 ) )
= $true )
| ( ( xsd_integer @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(448,plain,
! [SV61: $i,SV18: $i] :
( ( ( SV18 = SV61 )
= $false )
| ( ( ~ ( cowlNothing @ SV18 ) )
= $true )
| ( ( cowlNothing @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(449,plain,
! [SV95: $i,SV62: $i,SV19: $i] :
( ( ( SV19 != SV62 )
= $true )
| ( ( ~ ( rrx1 @ SV95 @ SV19 ) )
= $true )
| ( ( rrx1 @ SV95 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(450,plain,
! [SV96: $i,SV64: $i,SV21: $i] :
( ( ( SV21 != SV64 )
= $true )
| ( ( ~ ( rrx3a @ SV96 @ SV21 ) )
= $true )
| ( ( rrx3a @ SV96 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(451,plain,
! [SV97: $i,SV65: $i,SV22: $i] :
( ( ( SV22 != SV65 )
= $true )
| ( ( ~ ( rrx2a @ SV22 @ SV97 ) )
= $true )
| ( ( rrx2a @ SV65 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(452,plain,
! [SV98: $i,SV67: $i,SV24: $i] :
( ( ( SV24 != SV67 )
= $true )
| ( ( ~ ( rrx3 @ SV24 @ SV98 ) )
= $true )
| ( ( rrx3 @ SV67 @ SV98 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(453,plain,
! [SV99: $i,SV69: $i,SV26: $i] :
( ( ( ~ ( rrx4 @ SV26 @ SV69 ) )
= $true )
| ( ( ~ ( rrx4 @ SV26 @ SV99 ) )
= $true )
| ( ( SV69 = SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(454,plain,
! [SV71: $i,SV28: $i] :
( ( ( SV28 = SV71 )
= $false )
| ( ( ~ ( xsd_string @ SV28 ) )
= $true )
| ( ( xsd_string @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(455,plain,
! [SV72: $i,SV29: $i] :
( ( ( SV29 = SV72 )
= $false )
| ( ( ~ ( cUnsatisfiable @ SV29 ) )
= $true )
| ( ( cUnsatisfiable @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(456,plain,
! [SV100: $i,SV73: $i,SV31: $i] :
( ( ( ~ ( rrx4a @ SV31 @ SV73 ) )
= $true )
| ( ( ~ ( rrx4a @ SV31 @ SV100 ) )
= $true )
| ( ( SV73 = SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(457,plain,
! [SV101: $i,SV74: $i,SV32: $i] :
( ( ( SV32 != SV74 )
= $true )
| ( ( ~ ( rrxa @ SV101 @ SV32 ) )
= $true )
| ( ( rrxa @ SV101 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(458,plain,
! [SV102: $i,SV75: $i,SV33: $i] :
( ( ( ~ ( rrx3a @ SV33 @ SV75 ) )
= $true )
| ( ( ~ ( rrx3a @ SV33 @ SV102 ) )
= $true )
| ( ( SV75 = SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(459,plain,
! [SV103: $i,SV77: $i,SV35: $i] :
( ( ( SV35 != SV77 )
= $true )
| ( ( ~ ( rrx2 @ SV103 @ SV35 ) )
= $true )
| ( ( rrx2 @ SV103 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(460,plain,
! [SV104: $i,SV78: $i,SV36: $i] :
( ( ( SV36 != SV78 )
= $true )
| ( ( ~ ( rrx1 @ SV36 @ SV104 ) )
= $true )
| ( ( rrx1 @ SV78 @ SV104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(461,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) )
| ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
| ~ ~ ! [SY169: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY169 )
| ~ ( cc1 @ SY169 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(462,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) )
| ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
| ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(463,plain,
! [SV105: $i,SV80: $i,SV39: $i] :
( ( ( ~ ( rrx3 @ SV39 @ SV80 ) )
= $true )
| ( ( ~ ( rrx3 @ SV39 @ SV105 ) )
= $true )
| ( ( SV80 = SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(464,plain,
! [SV40: $i] :
( ( ( xsd_integer @ SV40 )
= $false )
| ( ( xsd_string @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(465,plain,
! [SV40: $i] :
( ( ( xsd_integer @ SV40 )
= $true )
| ( ( xsd_string @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(466,plain,
! [SV106: $i,SV81: $i,SV41: $i] :
( ( ( SV41 != SV81 )
= $true )
| ( ( ~ ( rrx1a @ SV41 @ SV106 ) )
= $true )
| ( ( rrx1a @ SV81 @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(467,plain,
! [SV107: $i,SV82: $i,SV42: $i] :
( ( ( SV42 != SV82 )
= $true )
| ( ( ~ ( rrx1a @ SV107 @ SV42 ) )
= $true )
| ( ( rrx1a @ SV107 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(468,plain,
! [SV108: $i,SV83: $i,SV43: $i] :
( ( ( SV43 != SV83 )
= $true )
| ( ( ~ ( rrx2 @ SV43 @ SV108 ) )
= $true )
| ( ( rrx2 @ SV83 @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(469,plain,
! [SV84: $i,SV44: $i,SV1: $i] :
( ( ( SV1 = SV44 )
= $false )
| ( ( ~ ( rrx4a @ SV84 @ SV1 ) )
= $true )
| ( ( rrx4a @ SV84 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(470,plain,
! [SV45: $i,SV2: $i] :
( ( ( cc2 @ SV2 )
= $false )
| ( ( SV2 = SV45 )
= $false )
| ( ( cc2 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(471,plain,
! [SV85: $i,SV46: $i,SV3: $i] :
( ( ( SV3 = SV46 )
= $false )
| ( ( ~ ( rrx4a @ SV3 @ SV85 ) )
= $true )
| ( ( rrx4a @ SV46 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(472,plain,
! [SV86: $i,SV47: $i,SV4: $i] :
( ( ( SV4 = SV47 )
= $false )
| ( ( ~ ( rrx @ SV86 @ SV4 ) )
= $true )
| ( ( rrx @ SV86 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(473,plain,
! [SV48: $i,SV5: $i] :
( ( ( cowlThing @ SV5 )
= $false )
| ( ( SV5 = SV48 )
= $false )
| ( ( cowlThing @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(474,plain,
! [SV87: $i,SV49: $i,SV6: $i] :
( ( ( rrx @ SV6 @ SV49 )
= $false )
| ( ( ~ ( rrx @ SV6 @ SV87 ) )
= $true )
| ( ( SV49 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(475,plain,
! [SV88: $i,SV50: $i,SV7: $i] :
( ( ( SV7 = SV50 )
= $false )
| ( ( ~ ( rrx4 @ SV7 @ SV88 ) )
= $true )
| ( ( rrx4 @ SV50 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(476,plain,
! [SV89: $i,SV51: $i,SV8: $i] :
( ( ( SV8 = SV51 )
= $false )
| ( ( ~ ( rrx4 @ SV89 @ SV8 ) )
= $true )
| ( ( rrx4 @ SV89 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(477,plain,
! [SV90: $i,SV52: $i,SV9: $i] :
( ( ( SV9 = SV52 )
= $false )
| ( ( ~ ( rrxa @ SV9 @ SV90 ) )
= $true )
| ( ( rrxa @ SV52 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(478,plain,
! [SV91: $i,SV53: $i,SV10: $i] :
( ( ( SV10 = SV53 )
= $false )
| ( ( ~ ( rrx3a @ SV10 @ SV91 ) )
= $true )
| ( ( rrx3a @ SV53 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(479,plain,
! [SV92: $i,SV55: $i,SV12: $i] :
( ( ( SV12 = SV55 )
= $false )
| ( ( ~ ( rrx2a @ SV92 @ SV12 ) )
= $true )
| ( ( rrx2a @ SV92 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(480,plain,
! [SV93: $i,SV56: $i,SV13: $i] :
( ( ( SV13 = SV56 )
= $false )
| ( ( ~ ( rrx @ SV13 @ SV93 ) )
= $true )
| ( ( rrx @ SV56 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(481,plain,
! [SV94: $i,SV57: $i,SV14: $i] :
( ( ( SV14 = SV57 )
= $false )
| ( ( ~ ( rrx3 @ SV94 @ SV14 ) )
= $true )
| ( ( rrx3 @ SV94 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(482,plain,
! [SV58: $i,SV15: $i] :
( ( ( cc1 @ SV15 )
= $false )
| ( ( SV15 = SV58 )
= $false )
| ( ( cc1 @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(483,plain,
! [SV60: $i,SV17: $i] :
( ( ( xsd_integer @ SV17 )
= $false )
| ( ( SV17 = SV60 )
= $false )
| ( ( xsd_integer @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(484,plain,
! [SV61: $i,SV18: $i] :
( ( ( cowlNothing @ SV18 )
= $false )
| ( ( SV18 = SV61 )
= $false )
| ( ( cowlNothing @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(485,plain,
! [SV95: $i,SV62: $i,SV19: $i] :
( ( ( SV19 = SV62 )
= $false )
| ( ( ~ ( rrx1 @ SV95 @ SV19 ) )
= $true )
| ( ( rrx1 @ SV95 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(486,plain,
! [SV96: $i,SV64: $i,SV21: $i] :
( ( ( SV21 = SV64 )
= $false )
| ( ( ~ ( rrx3a @ SV96 @ SV21 ) )
= $true )
| ( ( rrx3a @ SV96 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(487,plain,
! [SV97: $i,SV65: $i,SV22: $i] :
( ( ( SV22 = SV65 )
= $false )
| ( ( ~ ( rrx2a @ SV22 @ SV97 ) )
= $true )
| ( ( rrx2a @ SV65 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(488,plain,
! [SV98: $i,SV67: $i,SV24: $i] :
( ( ( SV24 = SV67 )
= $false )
| ( ( ~ ( rrx3 @ SV24 @ SV98 ) )
= $true )
| ( ( rrx3 @ SV67 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(489,plain,
! [SV99: $i,SV69: $i,SV26: $i] :
( ( ( rrx4 @ SV26 @ SV69 )
= $false )
| ( ( ~ ( rrx4 @ SV26 @ SV99 ) )
= $true )
| ( ( SV69 = SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(490,plain,
! [SV71: $i,SV28: $i] :
( ( ( xsd_string @ SV28 )
= $false )
| ( ( SV28 = SV71 )
= $false )
| ( ( xsd_string @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(491,plain,
! [SV72: $i,SV29: $i] :
( ( ( cUnsatisfiable @ SV29 )
= $false )
| ( ( SV29 = SV72 )
= $false )
| ( ( cUnsatisfiable @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(492,plain,
! [SV100: $i,SV73: $i,SV31: $i] :
( ( ( rrx4a @ SV31 @ SV73 )
= $false )
| ( ( ~ ( rrx4a @ SV31 @ SV100 ) )
= $true )
| ( ( SV73 = SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(493,plain,
! [SV101: $i,SV74: $i,SV32: $i] :
( ( ( SV32 = SV74 )
= $false )
| ( ( ~ ( rrxa @ SV101 @ SV32 ) )
= $true )
| ( ( rrxa @ SV101 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(494,plain,
! [SV102: $i,SV75: $i,SV33: $i] :
( ( ( rrx3a @ SV33 @ SV75 )
= $false )
| ( ( ~ ( rrx3a @ SV33 @ SV102 ) )
= $true )
| ( ( SV75 = SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(495,plain,
! [SV103: $i,SV77: $i,SV35: $i] :
( ( ( SV35 = SV77 )
= $false )
| ( ( ~ ( rrx2 @ SV103 @ SV35 ) )
= $true )
| ( ( rrx2 @ SV103 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(496,plain,
! [SV104: $i,SV78: $i,SV36: $i] :
( ( ( SV36 = SV78 )
= $false )
| ( ( ~ ( rrx1 @ SV36 @ SV104 ) )
= $true )
| ( ( rrx1 @ SV78 @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(497,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) )
| ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(498,plain,
! [SV37: $i] :
( ( ( ~ ~ ! [SY169: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY169 )
| ~ ( cc1 @ SY169 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(499,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) )
| ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(500,plain,
! [SV105: $i,SV80: $i,SV39: $i] :
( ( ( rrx3 @ SV39 @ SV80 )
= $false )
| ( ( ~ ( rrx3 @ SV39 @ SV105 ) )
= $true )
| ( ( SV80 = SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(501,plain,
! [SV106: $i,SV81: $i,SV41: $i] :
( ( ( SV41 = SV81 )
= $false )
| ( ( ~ ( rrx1a @ SV41 @ SV106 ) )
= $true )
| ( ( rrx1a @ SV81 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(502,plain,
! [SV107: $i,SV82: $i,SV42: $i] :
( ( ( SV42 = SV82 )
= $false )
| ( ( ~ ( rrx1a @ SV107 @ SV42 ) )
= $true )
| ( ( rrx1a @ SV107 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(503,plain,
! [SV108: $i,SV83: $i,SV43: $i] :
( ( ( SV43 = SV83 )
= $false )
| ( ( ~ ( rrx2 @ SV43 @ SV108 ) )
= $true )
| ( ( rrx2 @ SV83 @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(504,plain,
! [SV44: $i,SV1: $i,SV84: $i] :
( ( ( rrx4a @ SV84 @ SV1 )
= $false )
| ( ( SV1 = SV44 )
= $false )
| ( ( rrx4a @ SV84 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(505,plain,
! [SV46: $i,SV85: $i,SV3: $i] :
( ( ( rrx4a @ SV3 @ SV85 )
= $false )
| ( ( SV3 = SV46 )
= $false )
| ( ( rrx4a @ SV46 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(506,plain,
! [SV47: $i,SV4: $i,SV86: $i] :
( ( ( rrx @ SV86 @ SV4 )
= $false )
| ( ( SV4 = SV47 )
= $false )
| ( ( rrx @ SV86 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(507,plain,
! [SV49: $i,SV87: $i,SV6: $i] :
( ( ( rrx @ SV6 @ SV87 )
= $false )
| ( ( rrx @ SV6 @ SV49 )
= $false )
| ( ( SV49 = SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(508,plain,
! [SV50: $i,SV88: $i,SV7: $i] :
( ( ( rrx4 @ SV7 @ SV88 )
= $false )
| ( ( SV7 = SV50 )
= $false )
| ( ( rrx4 @ SV50 @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(509,plain,
! [SV51: $i,SV8: $i,SV89: $i] :
( ( ( rrx4 @ SV89 @ SV8 )
= $false )
| ( ( SV8 = SV51 )
= $false )
| ( ( rrx4 @ SV89 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(510,plain,
! [SV52: $i,SV90: $i,SV9: $i] :
( ( ( rrxa @ SV9 @ SV90 )
= $false )
| ( ( SV9 = SV52 )
= $false )
| ( ( rrxa @ SV52 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(511,plain,
! [SV53: $i,SV91: $i,SV10: $i] :
( ( ( rrx3a @ SV10 @ SV91 )
= $false )
| ( ( SV10 = SV53 )
= $false )
| ( ( rrx3a @ SV53 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(512,plain,
! [SV55: $i,SV12: $i,SV92: $i] :
( ( ( rrx2a @ SV92 @ SV12 )
= $false )
| ( ( SV12 = SV55 )
= $false )
| ( ( rrx2a @ SV92 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(513,plain,
! [SV56: $i,SV93: $i,SV13: $i] :
( ( ( rrx @ SV13 @ SV93 )
= $false )
| ( ( SV13 = SV56 )
= $false )
| ( ( rrx @ SV56 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(514,plain,
! [SV57: $i,SV14: $i,SV94: $i] :
( ( ( rrx3 @ SV94 @ SV14 )
= $false )
| ( ( SV14 = SV57 )
= $false )
| ( ( rrx3 @ SV94 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(515,plain,
! [SV62: $i,SV19: $i,SV95: $i] :
( ( ( rrx1 @ SV95 @ SV19 )
= $false )
| ( ( SV19 = SV62 )
= $false )
| ( ( rrx1 @ SV95 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(516,plain,
! [SV64: $i,SV21: $i,SV96: $i] :
( ( ( rrx3a @ SV96 @ SV21 )
= $false )
| ( ( SV21 = SV64 )
= $false )
| ( ( rrx3a @ SV96 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(517,plain,
! [SV65: $i,SV97: $i,SV22: $i] :
( ( ( rrx2a @ SV22 @ SV97 )
= $false )
| ( ( SV22 = SV65 )
= $false )
| ( ( rrx2a @ SV65 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(518,plain,
! [SV67: $i,SV98: $i,SV24: $i] :
( ( ( rrx3 @ SV24 @ SV98 )
= $false )
| ( ( SV24 = SV67 )
= $false )
| ( ( rrx3 @ SV67 @ SV98 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(519,plain,
! [SV69: $i,SV99: $i,SV26: $i] :
( ( ( rrx4 @ SV26 @ SV99 )
= $false )
| ( ( rrx4 @ SV26 @ SV69 )
= $false )
| ( ( SV69 = SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(520,plain,
! [SV73: $i,SV100: $i,SV31: $i] :
( ( ( rrx4a @ SV31 @ SV100 )
= $false )
| ( ( rrx4a @ SV31 @ SV73 )
= $false )
| ( ( SV73 = SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(521,plain,
! [SV74: $i,SV32: $i,SV101: $i] :
( ( ( rrxa @ SV101 @ SV32 )
= $false )
| ( ( SV32 = SV74 )
= $false )
| ( ( rrxa @ SV101 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(522,plain,
! [SV75: $i,SV102: $i,SV33: $i] :
( ( ( rrx3a @ SV33 @ SV102 )
= $false )
| ( ( rrx3a @ SV33 @ SV75 )
= $false )
| ( ( SV75 = SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(523,plain,
! [SV77: $i,SV35: $i,SV103: $i] :
( ( ( rrx2 @ SV103 @ SV35 )
= $false )
| ( ( SV35 = SV77 )
= $false )
| ( ( rrx2 @ SV103 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(524,plain,
! [SV78: $i,SV104: $i,SV36: $i] :
( ( ( rrx1 @ SV36 @ SV104 )
= $false )
| ( ( SV36 = SV78 )
= $false )
| ( ( rrx1 @ SV78 @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(525,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) )
| ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(526,plain,
! [SV37: $i] :
( ( ( ~ ! [SY169: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY169 )
| ~ ( cc1 @ SY169 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(527,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) )
| ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(528,plain,
! [SV80: $i,SV105: $i,SV39: $i] :
( ( ( rrx3 @ SV39 @ SV105 )
= $false )
| ( ( rrx3 @ SV39 @ SV80 )
= $false )
| ( ( SV80 = SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(529,plain,
! [SV81: $i,SV106: $i,SV41: $i] :
( ( ( rrx1a @ SV41 @ SV106 )
= $false )
| ( ( SV41 = SV81 )
= $false )
| ( ( rrx1a @ SV81 @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(530,plain,
! [SV82: $i,SV42: $i,SV107: $i] :
( ( ( rrx1a @ SV107 @ SV42 )
= $false )
| ( ( SV42 = SV82 )
= $false )
| ( ( rrx1a @ SV107 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(531,plain,
! [SV83: $i,SV108: $i,SV43: $i] :
( ( ( rrx2 @ SV43 @ SV108 )
= $false )
| ( ( SV43 = SV83 )
= $false )
| ( ( rrx2 @ SV83 @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(532,plain,
! [SV37: $i] :
( ( ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) )
| ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(533,plain,
! [SV37: $i] :
( ( ( ! [SY169: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY169 )
| ~ ( cc1 @ SY169 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(534,plain,
! [SV37: $i] :
( ( ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) )
| ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(535,plain,
! [SV37: $i] :
( ( ( ~ ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(536,plain,
! [SV37: $i] :
( ( ( ~ ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(537,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ( rrx3 @ SV37 @ ( sK1_SY169 @ SV37 ) )
| ~ ( cc1 @ ( sK1_SY169 @ SV37 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[533]) ).
thf(538,plain,
! [SV37: $i] :
( ( ( ~ ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) ) )
= $true )
| ( ( ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(539,plain,
! [SV37: $i] :
( ( ( ~ ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[535]) ).
thf(540,plain,
! [SV37: $i] :
( ( ( ~ ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(541,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ( rrx3 @ SV37 @ ( sK1_SY169 @ SV37 ) )
| ~ ( cc1 @ ( sK1_SY169 @ SV37 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(542,plain,
! [SV37: $i] :
( ( ( ~ ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) ) )
= $false )
| ( ( ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(543,plain,
! [SV37: $i] :
( ( ( ! [SY167: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY167 )
| ~ ( cc2 @ SY167 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(544,plain,
! [SV37: $i] :
( ( ( ~ ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(545,plain,
! [SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ ( sK1_SY169 @ SV37 ) )
| ~ ( cc1 @ ( sK1_SY169 @ SV37 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(546,plain,
! [SV37: $i] :
( ( ( ! [SY170: $i] :
~ ~ ( ~ ( rrx4 @ SV37 @ SY170 )
| ~ ( cc2 @ SY170 ) ) )
= $true )
| ( ( ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(547,plain,
! [SV37: $i] :
( ( ( ~ ~ ( ~ ( rrx4 @ SV37 @ ( sK2_SY167 @ SV37 ) )
| ~ ( cc2 @ ( sK2_SY167 @ SV37 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[543]) ).
thf(548,plain,
! [SV37: $i] :
( ( ( ! [SY168: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY168 )
| ~ ( cc2 @ SY168 ) )
| ~ ( cc1 @ SY168 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(549,plain,
! [SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ ( sK1_SY169 @ SV37 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(550,plain,
! [SV37: $i] :
( ( ( ~ ( cc1 @ ( sK1_SY169 @ SV37 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(551,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( rrx4 @ SV37 @ SV109 )
| ~ ( cc2 @ SV109 ) ) )
= $true )
| ( ( ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(552,plain,
! [SV37: $i] :
( ( ( ~ ( ~ ( rrx4 @ SV37 @ ( sK2_SY167 @ SV37 ) )
| ~ ( cc2 @ ( sK2_SY167 @ SV37 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(553,plain,
! [SV110: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SV110 )
| ~ ( cc2 @ SV110 ) )
| ~ ( cc1 @ SV110 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(554,plain,
! [SV37: $i] :
( ( ( rrx3 @ SV37 @ ( sK1_SY169 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(555,plain,
! [SV37: $i] :
( ( ( cc1 @ ( sK1_SY169 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(556,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ( ~ ( rrx4 @ SV37 @ SV109 )
| ~ ( cc2 @ SV109 ) ) )
= $false )
| ( ( ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(557,plain,
! [SV37: $i] :
( ( ( ~ ( rrx4 @ SV37 @ ( sK2_SY167 @ SV37 ) )
| ~ ( cc2 @ ( sK2_SY167 @ SV37 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(558,plain,
! [SV110: $i,SV37: $i] :
( ( ( ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SV110 )
| ~ ( cc2 @ SV110 ) )
| ~ ( cc1 @ SV110 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(559,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ( rrx4 @ SV37 @ SV109 )
| ~ ( cc2 @ SV109 ) )
= $true )
| ( ( ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(560,plain,
! [SV37: $i] :
( ( ( ~ ( rrx4 @ SV37 @ ( sK2_SY167 @ SV37 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(561,plain,
! [SV37: $i] :
( ( ( ~ ( cc2 @ ( sK2_SY167 @ SV37 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(562,plain,
! [SV110: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( rrx3 @ SV37 @ SV110 )
| ~ ( cc2 @ SV110 ) )
| ~ ( cc1 @ SV110 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(563,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ( rrx4 @ SV37 @ SV109 ) )
= $true )
| ( ( ~ ( cc2 @ SV109 ) )
= $true )
| ( ( ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(564,plain,
! [SV37: $i] :
( ( ( rrx4 @ SV37 @ ( sK2_SY167 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(565,plain,
! [SV37: $i] :
( ( ( cc2 @ ( sK2_SY167 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(566,plain,
! [SV110: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( rrx3 @ SV37 @ SV110 )
| ~ ( cc2 @ SV110 ) ) )
= $true )
| ( ( ~ ( cc1 @ SV110 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(567,plain,
! [SV109: $i,SV37: $i] :
( ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( ~ ( cc2 @ SV109 ) )
= $true )
| ( ( ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(568,plain,
! [SV110: $i,SV37: $i] :
( ( ( ~ ( ~ ( rrx3 @ SV37 @ SV110 )
| ~ ( cc2 @ SV110 ) ) )
= $false )
| ( ( ~ ( cc1 @ SV110 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(569,plain,
! [SV37: $i,SV109: $i] :
( ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( ~ ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(570,plain,
! [SV110: $i,SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ SV110 )
| ~ ( cc2 @ SV110 ) )
= $true )
| ( ( ~ ( cc1 @ SV110 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(571,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(572,plain,
! [SV110: $i,SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ SV110 ) )
= $true )
| ( ( ~ ( cc2 @ SV110 ) )
= $true )
| ( ( ~ ( cc1 @ SV110 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(573,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $true )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(574,plain,
! [SV110: $i,SV37: $i] :
( ( ( rrx3 @ SV37 @ SV110 )
= $false )
| ( ( ~ ( cc2 @ SV110 ) )
= $true )
| ( ( ~ ( cc1 @ SV110 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(575,plain,
! [SV109: $i,SV37: $i] :
( ( ( ! [SY171: $i] :
~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ SY171 )
| ~ ( cc2 @ SY171 ) )
| ~ ( cc1 @ SY171 ) ) )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(576,plain,
! [SV37: $i,SV110: $i] :
( ( ( cc2 @ SV110 )
= $false )
| ( ( rrx3 @ SV37 @ SV110 )
= $false )
| ( ( ~ ( cc1 @ SV110 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(577,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
| ~ ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) ) )
| ~ ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) ) ) )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[575]) ).
thf(578,plain,
! [SV37: $i,SV110: $i] :
( ( ( cc1 @ SV110 )
= $false )
| ( ( rrx3 @ SV37 @ SV110 )
= $false )
| ( ( cc2 @ SV110 )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(579,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ( ~ ~ ( ~ ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
| ~ ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) ) )
| ~ ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) ) ) )
= $true )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(580,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
| ~ ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) ) )
| ~ ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) ) )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(581,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
| ~ ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) ) ) )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(582,plain,
! [SV37: $i,SV109: $i] :
( ( ( ~ ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) ) )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(583,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ( ~ ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
| ~ ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) ) ) )
= $true )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(584,plain,
! [SV37: $i,SV109: $i] :
( ( ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(585,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
| ~ ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) ) )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(586,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(587,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) ) )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(588,plain,
! [SV37: $i,SV109: $i] :
( ( ( ~ ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) ) )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(589,plain,
! [SV109: $i,SV37: $i] :
( ( ( ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(590,plain,
! [SV109: $i,SV37: $i] :
( ( ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(591,plain,
! [SV37: $i,SV109: $i] :
( ( ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( ~ ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(592,plain,
! [SV109: $i,SV111: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( rrx3 @ SV37 @ SV111 )
| ~ ( cc1 @ SV111 ) ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(593,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(594,plain,
! [SV109: $i,SV37: $i] :
( ( ( ~ ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(595,plain,
! [SV109: $i,SV111: $i,SV37: $i] :
( ( ( ~ ( ~ ( rrx3 @ SV37 @ SV111 )
| ~ ( cc1 @ SV111 ) ) )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(596,plain,
! [SV109: $i,SV37: $i] :
( ( ( ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(597,plain,
! [SV109: $i,SV37: $i] :
( ( ( ! [SY172: $i] :
~ ~ ( ~ ( rrx3 @ SV37 @ SY172 )
| ~ ( cc1 @ SY172 ) ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(598,plain,
! [SV109: $i,SV111: $i,SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ SV111 )
| ~ ( cc1 @ SV111 ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(599,plain,
! [SV109: $i,SV112: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( rrx3 @ SV37 @ SV112 )
| ~ ( cc1 @ SV112 ) ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(600,plain,
! [SV109: $i,SV113: $i,SV37: $i] :
( ( ( ~ ~ ( ~ ( rrx3 @ SV37 @ SV113 )
| ~ ( cc1 @ SV113 ) ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(601,plain,
! [SV109: $i,SV111: $i,SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ SV111 ) )
= $true )
| ( ( ~ ( cc1 @ SV111 ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(602,plain,
! [SV109: $i,SV112: $i,SV37: $i] :
( ( ( ~ ( ~ ( rrx3 @ SV37 @ SV112 )
| ~ ( cc1 @ SV112 ) ) )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(603,plain,
! [SV109: $i,SV113: $i,SV37: $i] :
( ( ( ~ ( ~ ( rrx3 @ SV37 @ SV113 )
| ~ ( cc1 @ SV113 ) ) )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(604,plain,
! [SV109: $i,SV111: $i,SV37: $i] :
( ( ( rrx3 @ SV37 @ SV111 )
= $false )
| ( ( ~ ( cc1 @ SV111 ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(605,plain,
! [SV109: $i,SV112: $i,SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ SV112 )
| ~ ( cc1 @ SV112 ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(606,plain,
! [SV109: $i,SV113: $i,SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ SV113 )
| ~ ( cc1 @ SV113 ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(607,plain,
! [SV109: $i,SV37: $i,SV111: $i] :
( ( ( cc1 @ SV111 )
= $false )
| ( ( rrx3 @ SV37 @ SV111 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc1 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(608,plain,
! [SV109: $i,SV112: $i,SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ SV112 ) )
= $true )
| ( ( ~ ( cc1 @ SV112 ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[605]) ).
thf(609,plain,
! [SV109: $i,SV113: $i,SV37: $i] :
( ( ( ~ ( rrx3 @ SV37 @ SV113 ) )
= $true )
| ( ( ~ ( cc1 @ SV113 ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(610,plain,
! [SV109: $i,SV112: $i,SV37: $i] :
( ( ( rrx3 @ SV37 @ SV112 )
= $false )
| ( ( ~ ( cc1 @ SV112 ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(611,plain,
! [SV109: $i,SV113: $i,SV37: $i] :
( ( ( rrx3 @ SV37 @ SV113 )
= $false )
| ( ( ~ ( cc1 @ SV113 ) )
= $true )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(612,plain,
! [SV109: $i,SV37: $i,SV112: $i] :
( ( ( cc1 @ SV112 )
= $false )
| ( ( rrx3 @ SV37 @ SV112 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( rrx3 @ SV37 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(613,plain,
! [SV109: $i,SV37: $i,SV113: $i] :
( ( ( cc1 @ SV113 )
= $false )
| ( ( rrx3 @ SV37 @ SV113 )
= $false )
| ( ( cc2 @ SV109 )
= $false )
| ( ( rrx4 @ SV37 @ SV109 )
= $false )
| ( ( cc2 @ ( sK3_SY171 @ SV109 @ SV37 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(614,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[128,613,612,607,578,565,564,555,554,531,530,529,528,524,523,522,521,520,519,518,517,516,515,514,513,512,511,510,509,508,507,506,505,504,491,490,484,483,482,473,470,465,464,383,353,348,343,340,338,336,333,329,324,181]) ).
thf(615,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS070+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 11:41:16 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.57/0.50
% 1.57/0.50 No.of.Axioms: 44
% 1.57/0.50
% 1.57/0.50 Length.of.Defs: 0
% 1.57/0.50
% 1.57/0.50 Contains.Choice.Funs: false
% 1.57/0.50 ..................
% 1.57/0.50
% 1.57/0.50 ********************************
% 1.57/0.50 * All subproblems solved! *
% 1.57/0.50 ********************************
% 1.57/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:44,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:614,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.57/0.50
% 1.57/0.50 %**** Beginning of derivation protocol ****
% 1.57/0.50 % SZS output start CNFRefutation
% See solution above
% 1.57/0.50
% 1.57/0.50 %**** End of derivation protocol ****
% 1.57/0.50 %**** no. of clauses in derivation: 615 ****
% 1.57/0.50 %**** clause counter: 614 ****
% 1.57/0.50
% 1.57/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:44,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:614,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------