TSTP Solution File: KRS070+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS070+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 03:14:22 EDT 2022
% Result : Unsatisfiable 0.38s 0.54s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 66
% Syntax : Number of formulae : 545 ( 282 unt; 21 typ; 0 def)
% Number of atoms : 3427 (1216 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 4412 ( 950 ~; 981 |; 96 &;2301 @)
% ( 4 <=>; 80 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 3 con; 0-2 aty)
% Number of variables : 1325 ( 0 ^1319 !; 6 ?;1325 :)
% 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_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i ).
thf(tp_sK3_Y,type,
sK3_Y: $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,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx4 @ X @ Y )
| ( rrx @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(94,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx3 @ X @ Y )
| ( rrx1 @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(95,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx4a @ X @ Y )
| ( rrx2a @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(96,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx3a @ X @ Y )
| ( rrx1a @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(97,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx4 @ X @ Y )
| ( rrx2 @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(98,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx4a @ X @ Y )
| ( rrxa @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(99,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx3a @ X @ Y )
| ( rrxa @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(100,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx3 @ X @ Y )
| ( rrx @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(101,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rrx4a @ X @ Y )
| ~ ( rrx4a @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(102,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rrx4 @ X @ Y )
| ~ ( rrx4 @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(103,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rrx3a @ X @ Y )
| ~ ( rrx3a @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(104,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rrx3 @ X @ Y )
| ~ ( rrx3 @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(105,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rrx @ X @ Y )
| ~ ( rrx @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(106,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
( ~ ( cc2 @ Y )
| ~ ( rrx4 @ X @ Y ) )
| ( ( cc2 @ ( sK3_Y @ X ) )
& ( rrx3 @ X @ ( sK3_Y @ X ) )
& ( cc1 @ ( sK3_Y @ X ) ) )
| ! [Y: $i] :
( ~ ( cc1 @ Y )
| ~ ( rrx3 @ X @ Y ) )
| ( cUnsatisfiable @ X ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cc2 @ ( sK2_Y @ X ) )
& ( rrx4 @ X @ ( sK2_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ! [Y: $i] :
( ~ ( cc2 @ Y )
| ~ ( rrx3 @ X @ Y )
| ~ ( cc1 @ Y ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cc1 @ ( sK1_Y @ X ) )
& ( rrx3 @ X @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(107,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(108,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(109,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(110,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(111,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrxa @ C @ A )
| ( rrxa @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(112,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrxa @ A @ C )
| ( rrxa @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(113,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx4a @ C @ A )
| ( rrx4a @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(114,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx4a @ A @ C )
| ( rrx4a @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(115,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx4 @ C @ A )
| ( rrx4 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(116,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx4 @ A @ C )
| ( rrx4 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(117,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx3a @ C @ A )
| ( rrx3a @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(118,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx3a @ A @ C )
| ( rrx3a @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(119,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx3 @ C @ A )
| ( rrx3 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(120,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx3 @ A @ C )
| ( rrx3 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(121,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx2a @ C @ A )
| ( rrx2a @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(122,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx2a @ A @ C )
| ( rrx2a @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(123,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx2 @ C @ A )
| ( rrx2 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(124,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx2 @ A @ C )
| ( rrx2 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(125,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx1a @ C @ A )
| ( rrx1a @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(126,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx1a @ A @ C )
| ( rrx1a @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(127,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx1 @ C @ A )
| ( rrx1 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(128,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx1 @ A @ C )
| ( rrx1 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(129,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx @ C @ A )
| ( rrx @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(130,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx @ A @ C )
| ( rrx @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[86]) ).
thf(131,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[87]) ).
thf(132,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[88]) ).
thf(133,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc2 @ A )
| ( cc2 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[89]) ).
thf(134,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc1 @ A )
| ( cc1 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[90]) ).
thf(135,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cUnsatisfiable @ A )
| ( cUnsatisfiable @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[91]) ).
thf(136,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cUnsatisfiable @ A )
| ( cUnsatisfiable @ B ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(137,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc1 @ A )
| ( cc1 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(138,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc2 @ A )
| ( cc2 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(139,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(140,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(141,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx @ A @ C )
| ( rrx @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(142,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx @ C @ A )
| ( rrx @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(143,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx1 @ A @ C )
| ( rrx1 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(144,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx1 @ C @ A )
| ( rrx1 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(145,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx1a @ A @ C )
| ( rrx1a @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(146,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx1a @ C @ A )
| ( rrx1a @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(147,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx2 @ A @ C )
| ( rrx2 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(148,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx2 @ C @ A )
| ( rrx2 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(149,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx2a @ A @ C )
| ( rrx2a @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(150,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx2a @ C @ A )
| ( rrx2a @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(151,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx3 @ A @ C )
| ( rrx3 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(152,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx3 @ C @ A )
| ( rrx3 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(153,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx3a @ A @ C )
| ( rrx3a @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(154,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx3a @ C @ A )
| ( rrx3a @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(155,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx4 @ A @ C )
| ( rrx4 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(156,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx4 @ C @ A )
| ( rrx4 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(157,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx4a @ A @ C )
| ( rrx4a @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(158,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrx4a @ C @ A )
| ( rrx4a @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(159,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrxa @ A @ C )
| ( rrxa @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(160,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rrxa @ C @ A )
| ( rrxa @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(161,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(162,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(163,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(164,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(165,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
( ~ ( cc2 @ Y )
| ~ ( rrx4 @ X @ Y ) )
| ( ( cc2 @ ( sK3_Y @ X ) )
& ( rrx3 @ X @ ( sK3_Y @ X ) )
& ( cc1 @ ( sK3_Y @ X ) ) )
| ! [Y: $i] :
( ~ ( cc1 @ Y )
| ~ ( rrx3 @ X @ Y ) )
| ( cUnsatisfiable @ X ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cc2 @ ( sK2_Y @ X ) )
& ( rrx4 @ X @ ( sK2_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ! [Y: $i] :
( ~ ( cc2 @ Y )
| ~ ( rrx3 @ X @ Y )
| ~ ( cc1 @ Y ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cc1 @ ( sK1_Y @ X ) )
& ( rrx3 @ X @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(166,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rrx @ X @ Y )
| ~ ( rrx @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(167,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rrx3 @ X @ Y )
| ~ ( rrx3 @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(168,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rrx3a @ X @ Y )
| ~ ( rrx3a @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(169,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rrx4 @ X @ Y )
| ~ ( rrx4 @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(170,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rrx4a @ X @ Y )
| ~ ( rrx4a @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(171,plain,
( ( cUnsatisfiable @ i2003_11_14_17_18_32242 )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(172,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx3 @ X @ Y )
| ( rrx @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(173,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx3a @ X @ Y )
| ( rrxa @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(174,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx4a @ X @ Y )
| ( rrxa @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(175,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx4 @ X @ Y )
| ( rrx2 @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(176,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx3a @ X @ Y )
| ( rrx1a @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(177,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx4a @ X @ Y )
| ( rrx2a @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(178,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx3 @ X @ Y )
| ( rrx1 @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(179,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rrx4 @ X @ Y )
| ( rrx @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(180,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(181,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(182,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx4 @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK3_Y @ SX0 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( cc1 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SX0 ) )
| ~ ( rrx4 @ SX0 @ ( sK2_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc1 @ ( sK1_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(183,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(184,plain,
! [SV1: $i] :
( ( ! [SY111: $i] :
( ( SV1 != SY111 )
| ~ ( cUnsatisfiable @ SV1 )
| ( cUnsatisfiable @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(185,plain,
! [SV2: $i] :
( ( ! [SY112: $i] :
( ( SV2 != SY112 )
| ~ ( cc1 @ SV2 )
| ( cc1 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(186,plain,
! [SV3: $i] :
( ( ! [SY113: $i] :
( ( SV3 != SY113 )
| ~ ( cc2 @ SV3 )
| ( cc2 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(187,plain,
! [SV4: $i] :
( ( ! [SY114: $i] :
( ( SV4 != SY114 )
| ~ ( cowlNothing @ SV4 )
| ( cowlNothing @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(188,plain,
! [SV5: $i] :
( ( ! [SY115: $i] :
( ( SV5 != SY115 )
| ~ ( cowlThing @ SV5 )
| ( cowlThing @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(189,plain,
! [SV6: $i] :
( ( ! [SY116: $i,SY117: $i] :
( ( SV6 != SY116 )
| ~ ( rrx @ SV6 @ SY117 )
| ( rrx @ SY116 @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(190,plain,
! [SV7: $i] :
( ( ! [SY118: $i,SY119: $i] :
( ( SV7 != SY118 )
| ~ ( rrx @ SY119 @ SV7 )
| ( rrx @ SY119 @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(191,plain,
! [SV8: $i] :
( ( ! [SY120: $i,SY121: $i] :
( ( SV8 != SY120 )
| ~ ( rrx1 @ SV8 @ SY121 )
| ( rrx1 @ SY120 @ SY121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(192,plain,
! [SV9: $i] :
( ( ! [SY122: $i,SY123: $i] :
( ( SV9 != SY122 )
| ~ ( rrx1 @ SY123 @ SV9 )
| ( rrx1 @ SY123 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(193,plain,
! [SV10: $i] :
( ( ! [SY124: $i,SY125: $i] :
( ( SV10 != SY124 )
| ~ ( rrx1a @ SV10 @ SY125 )
| ( rrx1a @ SY124 @ SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(194,plain,
! [SV11: $i] :
( ( ! [SY126: $i,SY127: $i] :
( ( SV11 != SY126 )
| ~ ( rrx1a @ SY127 @ SV11 )
| ( rrx1a @ SY127 @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(195,plain,
! [SV12: $i] :
( ( ! [SY128: $i,SY129: $i] :
( ( SV12 != SY128 )
| ~ ( rrx2 @ SV12 @ SY129 )
| ( rrx2 @ SY128 @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(196,plain,
! [SV13: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ( SV13 != SY130 )
| ~ ( rrx2 @ SY131 @ SV13 )
| ( rrx2 @ SY131 @ SY130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(197,plain,
! [SV14: $i] :
( ( ! [SY132: $i,SY133: $i] :
( ( SV14 != SY132 )
| ~ ( rrx2a @ SV14 @ SY133 )
| ( rrx2a @ SY132 @ SY133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(198,plain,
! [SV15: $i] :
( ( ! [SY134: $i,SY135: $i] :
( ( SV15 != SY134 )
| ~ ( rrx2a @ SY135 @ SV15 )
| ( rrx2a @ SY135 @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(199,plain,
! [SV16: $i] :
( ( ! [SY136: $i,SY137: $i] :
( ( SV16 != SY136 )
| ~ ( rrx3 @ SV16 @ SY137 )
| ( rrx3 @ SY136 @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(200,plain,
! [SV17: $i] :
( ( ! [SY138: $i,SY139: $i] :
( ( SV17 != SY138 )
| ~ ( rrx3 @ SY139 @ SV17 )
| ( rrx3 @ SY139 @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(201,plain,
! [SV18: $i] :
( ( ! [SY140: $i,SY141: $i] :
( ( SV18 != SY140 )
| ~ ( rrx3a @ SV18 @ SY141 )
| ( rrx3a @ SY140 @ SY141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(202,plain,
! [SV19: $i] :
( ( ! [SY142: $i,SY143: $i] :
( ( SV19 != SY142 )
| ~ ( rrx3a @ SY143 @ SV19 )
| ( rrx3a @ SY143 @ SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(203,plain,
! [SV20: $i] :
( ( ! [SY144: $i,SY145: $i] :
( ( SV20 != SY144 )
| ~ ( rrx4 @ SV20 @ SY145 )
| ( rrx4 @ SY144 @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(204,plain,
! [SV21: $i] :
( ( ! [SY146: $i,SY147: $i] :
( ( SV21 != SY146 )
| ~ ( rrx4 @ SY147 @ SV21 )
| ( rrx4 @ SY147 @ SY146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(205,plain,
! [SV22: $i] :
( ( ! [SY148: $i,SY149: $i] :
( ( SV22 != SY148 )
| ~ ( rrx4a @ SV22 @ SY149 )
| ( rrx4a @ SY148 @ SY149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(206,plain,
! [SV23: $i] :
( ( ! [SY150: $i,SY151: $i] :
( ( SV23 != SY150 )
| ~ ( rrx4a @ SY151 @ SV23 )
| ( rrx4a @ SY151 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(207,plain,
! [SV24: $i] :
( ( ! [SY152: $i,SY153: $i] :
( ( SV24 != SY152 )
| ~ ( rrxa @ SV24 @ SY153 )
| ( rrxa @ SY152 @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(208,plain,
! [SV25: $i] :
( ( ! [SY154: $i,SY155: $i] :
( ( SV25 != SY154 )
| ~ ( rrxa @ SY155 @ SV25 )
| ( rrxa @ SY155 @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(209,plain,
! [SV26: $i] :
( ( ! [SY156: $i] :
( ( SV26 != SY156 )
| ~ ( xsd_integer @ SV26 )
| ( xsd_integer @ SY156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(210,plain,
! [SV27: $i] :
( ( ! [SY157: $i] :
( ( SV27 != SY157 )
| ~ ( xsd_string @ SV27 )
| ( xsd_string @ SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(211,plain,
! [SV28: $i] :
( ( ! [SY158: $i,SY159: $i] :
( ~ ( rrx @ SV28 @ SY158 )
| ~ ( rrx @ SV28 @ SY159 )
| ( SY158 = SY159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(212,plain,
! [SV29: $i] :
( ( ! [SY160: $i,SY161: $i] :
( ~ ( rrx3 @ SV29 @ SY160 )
| ~ ( rrx3 @ SV29 @ SY161 )
| ( SY160 = SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(213,plain,
! [SV30: $i] :
( ( ! [SY162: $i,SY163: $i] :
( ~ ( rrx3a @ SV30 @ SY162 )
| ~ ( rrx3a @ SV30 @ SY163 )
| ( SY162 = SY163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(214,plain,
! [SV31: $i] :
( ( ! [SY164: $i,SY165: $i] :
( ~ ( rrx4 @ SV31 @ SY164 )
| ~ ( rrx4 @ SV31 @ SY165 )
| ( SY164 = SY165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(215,plain,
! [SV32: $i] :
( ( ! [SY166: $i,SY167: $i] :
( ~ ( rrx4a @ SV32 @ SY166 )
| ~ ( rrx4a @ SV32 @ SY167 )
| ( SY166 = SY167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(216,plain,
! [SV33: $i] :
( ( ! [SY168: $i] :
( ~ ( rrx3 @ SV33 @ SY168 )
| ( rrx @ SV33 @ SY168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(217,plain,
! [SV34: $i] :
( ( ! [SY169: $i] :
( ~ ( rrx3a @ SV34 @ SY169 )
| ( rrxa @ SV34 @ SY169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(218,plain,
! [SV35: $i] :
( ( ! [SY170: $i] :
( ~ ( rrx4a @ SV35 @ SY170 )
| ( rrxa @ SV35 @ SY170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(219,plain,
! [SV36: $i] :
( ( ! [SY171: $i] :
( ~ ( rrx4 @ SV36 @ SY171 )
| ( rrx2 @ SV36 @ SY171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(220,plain,
! [SV37: $i] :
( ( ! [SY172: $i] :
( ~ ( rrx3a @ SV37 @ SY172 )
| ( rrx1a @ SV37 @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(221,plain,
! [SV38: $i] :
( ( ! [SY173: $i] :
( ~ ( rrx4a @ SV38 @ SY173 )
| ( rrx2a @ SV38 @ SY173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(222,plain,
! [SV39: $i] :
( ( ! [SY174: $i] :
( ~ ( rrx3 @ SV39 @ SY174 )
| ( rrx1 @ SV39 @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(223,plain,
! [SV40: $i] :
( ( ! [SY175: $i] :
( ~ ( rrx4 @ SV40 @ SY175 )
| ( rrx @ SV40 @ SY175 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(224,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(225,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(226,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx4 @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK3_Y @ SX0 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( cc1 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SX0 ) )
| ~ ( rrx4 @ SX0 @ ( sK2_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc1 @ ( sK1_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(227,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(228,plain,
! [SV41: $i,SV1: $i] :
( ( ( SV1 != SV41 )
| ~ ( cUnsatisfiable @ SV1 )
| ( cUnsatisfiable @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(229,plain,
! [SV42: $i,SV2: $i] :
( ( ( SV2 != SV42 )
| ~ ( cc1 @ SV2 )
| ( cc1 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(230,plain,
! [SV43: $i,SV3: $i] :
( ( ( SV3 != SV43 )
| ~ ( cc2 @ SV3 )
| ( cc2 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(231,plain,
! [SV44: $i,SV4: $i] :
( ( ( SV4 != SV44 )
| ~ ( cowlNothing @ SV4 )
| ( cowlNothing @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(232,plain,
! [SV45: $i,SV5: $i] :
( ( ( SV5 != SV45 )
| ~ ( cowlThing @ SV5 )
| ( cowlThing @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(233,plain,
! [SV46: $i,SV6: $i] :
( ( ! [SY176: $i] :
( ( SV6 != SV46 )
| ~ ( rrx @ SV6 @ SY176 )
| ( rrx @ SV46 @ SY176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(234,plain,
! [SV47: $i,SV7: $i] :
( ( ! [SY177: $i] :
( ( SV7 != SV47 )
| ~ ( rrx @ SY177 @ SV7 )
| ( rrx @ SY177 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(235,plain,
! [SV48: $i,SV8: $i] :
( ( ! [SY178: $i] :
( ( SV8 != SV48 )
| ~ ( rrx1 @ SV8 @ SY178 )
| ( rrx1 @ SV48 @ SY178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(236,plain,
! [SV49: $i,SV9: $i] :
( ( ! [SY179: $i] :
( ( SV9 != SV49 )
| ~ ( rrx1 @ SY179 @ SV9 )
| ( rrx1 @ SY179 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(237,plain,
! [SV50: $i,SV10: $i] :
( ( ! [SY180: $i] :
( ( SV10 != SV50 )
| ~ ( rrx1a @ SV10 @ SY180 )
| ( rrx1a @ SV50 @ SY180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(238,plain,
! [SV51: $i,SV11: $i] :
( ( ! [SY181: $i] :
( ( SV11 != SV51 )
| ~ ( rrx1a @ SY181 @ SV11 )
| ( rrx1a @ SY181 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(239,plain,
! [SV52: $i,SV12: $i] :
( ( ! [SY182: $i] :
( ( SV12 != SV52 )
| ~ ( rrx2 @ SV12 @ SY182 )
| ( rrx2 @ SV52 @ SY182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(240,plain,
! [SV53: $i,SV13: $i] :
( ( ! [SY183: $i] :
( ( SV13 != SV53 )
| ~ ( rrx2 @ SY183 @ SV13 )
| ( rrx2 @ SY183 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(241,plain,
! [SV54: $i,SV14: $i] :
( ( ! [SY184: $i] :
( ( SV14 != SV54 )
| ~ ( rrx2a @ SV14 @ SY184 )
| ( rrx2a @ SV54 @ SY184 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(242,plain,
! [SV55: $i,SV15: $i] :
( ( ! [SY185: $i] :
( ( SV15 != SV55 )
| ~ ( rrx2a @ SY185 @ SV15 )
| ( rrx2a @ SY185 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(243,plain,
! [SV56: $i,SV16: $i] :
( ( ! [SY186: $i] :
( ( SV16 != SV56 )
| ~ ( rrx3 @ SV16 @ SY186 )
| ( rrx3 @ SV56 @ SY186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(244,plain,
! [SV57: $i,SV17: $i] :
( ( ! [SY187: $i] :
( ( SV17 != SV57 )
| ~ ( rrx3 @ SY187 @ SV17 )
| ( rrx3 @ SY187 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(245,plain,
! [SV58: $i,SV18: $i] :
( ( ! [SY188: $i] :
( ( SV18 != SV58 )
| ~ ( rrx3a @ SV18 @ SY188 )
| ( rrx3a @ SV58 @ SY188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(246,plain,
! [SV59: $i,SV19: $i] :
( ( ! [SY189: $i] :
( ( SV19 != SV59 )
| ~ ( rrx3a @ SY189 @ SV19 )
| ( rrx3a @ SY189 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(247,plain,
! [SV60: $i,SV20: $i] :
( ( ! [SY190: $i] :
( ( SV20 != SV60 )
| ~ ( rrx4 @ SV20 @ SY190 )
| ( rrx4 @ SV60 @ SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(248,plain,
! [SV61: $i,SV21: $i] :
( ( ! [SY191: $i] :
( ( SV21 != SV61 )
| ~ ( rrx4 @ SY191 @ SV21 )
| ( rrx4 @ SY191 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(249,plain,
! [SV62: $i,SV22: $i] :
( ( ! [SY192: $i] :
( ( SV22 != SV62 )
| ~ ( rrx4a @ SV22 @ SY192 )
| ( rrx4a @ SV62 @ SY192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(250,plain,
! [SV63: $i,SV23: $i] :
( ( ! [SY193: $i] :
( ( SV23 != SV63 )
| ~ ( rrx4a @ SY193 @ SV23 )
| ( rrx4a @ SY193 @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(251,plain,
! [SV64: $i,SV24: $i] :
( ( ! [SY194: $i] :
( ( SV24 != SV64 )
| ~ ( rrxa @ SV24 @ SY194 )
| ( rrxa @ SV64 @ SY194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(252,plain,
! [SV65: $i,SV25: $i] :
( ( ! [SY195: $i] :
( ( SV25 != SV65 )
| ~ ( rrxa @ SY195 @ SV25 )
| ( rrxa @ SY195 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(253,plain,
! [SV66: $i,SV26: $i] :
( ( ( SV26 != SV66 )
| ~ ( xsd_integer @ SV26 )
| ( xsd_integer @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(254,plain,
! [SV67: $i,SV27: $i] :
( ( ( SV27 != SV67 )
| ~ ( xsd_string @ SV27 )
| ( xsd_string @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(255,plain,
! [SV68: $i,SV28: $i] :
( ( ! [SY196: $i] :
( ~ ( rrx @ SV28 @ SV68 )
| ~ ( rrx @ SV28 @ SY196 )
| ( SV68 = SY196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(256,plain,
! [SV69: $i,SV29: $i] :
( ( ! [SY197: $i] :
( ~ ( rrx3 @ SV29 @ SV69 )
| ~ ( rrx3 @ SV29 @ SY197 )
| ( SV69 = SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(257,plain,
! [SV70: $i,SV30: $i] :
( ( ! [SY198: $i] :
( ~ ( rrx3a @ SV30 @ SV70 )
| ~ ( rrx3a @ SV30 @ SY198 )
| ( SV70 = SY198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(258,plain,
! [SV71: $i,SV31: $i] :
( ( ! [SY199: $i] :
( ~ ( rrx4 @ SV31 @ SV71 )
| ~ ( rrx4 @ SV31 @ SY199 )
| ( SV71 = SY199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(259,plain,
! [SV72: $i,SV32: $i] :
( ( ! [SY200: $i] :
( ~ ( rrx4a @ SV32 @ SV72 )
| ~ ( rrx4a @ SV32 @ SY200 )
| ( SV72 = SY200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(260,plain,
! [SV73: $i,SV33: $i] :
( ( ~ ( rrx3 @ SV33 @ SV73 )
| ( rrx @ SV33 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(261,plain,
! [SV74: $i,SV34: $i] :
( ( ~ ( rrx3a @ SV34 @ SV74 )
| ( rrxa @ SV34 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(262,plain,
! [SV75: $i,SV35: $i] :
( ( ~ ( rrx4a @ SV35 @ SV75 )
| ( rrxa @ SV35 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(263,plain,
! [SV76: $i,SV36: $i] :
( ( ~ ( rrx4 @ SV36 @ SV76 )
| ( rrx2 @ SV36 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(264,plain,
! [SV77: $i,SV37: $i] :
( ( ~ ( rrx3a @ SV37 @ SV77 )
| ( rrx1a @ SV37 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(265,plain,
! [SV78: $i,SV38: $i] :
( ( ~ ( rrx4a @ SV38 @ SV78 )
| ( rrx2a @ SV38 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(266,plain,
! [SV79: $i,SV39: $i] :
( ( ~ ( rrx3 @ SV39 @ SV79 )
| ( rrx1 @ SV39 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(267,plain,
! [SV80: $i,SV40: $i] :
( ( ~ ( rrx4 @ SV40 @ SV80 )
| ( rrx @ SV40 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(268,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(269,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(270,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx4 @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK3_Y @ SX0 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( cc1 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(271,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SX0 ) )
| ~ ( rrx4 @ SX0 @ ( sK2_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc1 @ ( sK1_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(272,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(273,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(274,plain,
! [SV41: $i,SV1: $i] :
( ( ( ( SV1 != SV41 )
| ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(275,plain,
! [SV42: $i,SV2: $i] :
( ( ( ( SV2 != SV42 )
| ~ ( cc1 @ SV2 ) )
= $true )
| ( ( cc1 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(276,plain,
! [SV43: $i,SV3: $i] :
( ( ( ( SV3 != SV43 )
| ~ ( cc2 @ SV3 ) )
= $true )
| ( ( cc2 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(277,plain,
! [SV44: $i,SV4: $i] :
( ( ( ( SV4 != SV44 )
| ~ ( cowlNothing @ SV4 ) )
= $true )
| ( ( cowlNothing @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(278,plain,
! [SV45: $i,SV5: $i] :
( ( ( ( SV5 != SV45 )
| ~ ( cowlThing @ SV5 ) )
= $true )
| ( ( cowlThing @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(279,plain,
! [SV81: $i,SV46: $i,SV6: $i] :
( ( ( SV6 != SV46 )
| ~ ( rrx @ SV6 @ SV81 )
| ( rrx @ SV46 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(280,plain,
! [SV82: $i,SV47: $i,SV7: $i] :
( ( ( SV7 != SV47 )
| ~ ( rrx @ SV82 @ SV7 )
| ( rrx @ SV82 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(281,plain,
! [SV83: $i,SV48: $i,SV8: $i] :
( ( ( SV8 != SV48 )
| ~ ( rrx1 @ SV8 @ SV83 )
| ( rrx1 @ SV48 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(282,plain,
! [SV84: $i,SV49: $i,SV9: $i] :
( ( ( SV9 != SV49 )
| ~ ( rrx1 @ SV84 @ SV9 )
| ( rrx1 @ SV84 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(283,plain,
! [SV85: $i,SV50: $i,SV10: $i] :
( ( ( SV10 != SV50 )
| ~ ( rrx1a @ SV10 @ SV85 )
| ( rrx1a @ SV50 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(284,plain,
! [SV86: $i,SV51: $i,SV11: $i] :
( ( ( SV11 != SV51 )
| ~ ( rrx1a @ SV86 @ SV11 )
| ( rrx1a @ SV86 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(285,plain,
! [SV87: $i,SV52: $i,SV12: $i] :
( ( ( SV12 != SV52 )
| ~ ( rrx2 @ SV12 @ SV87 )
| ( rrx2 @ SV52 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(286,plain,
! [SV88: $i,SV53: $i,SV13: $i] :
( ( ( SV13 != SV53 )
| ~ ( rrx2 @ SV88 @ SV13 )
| ( rrx2 @ SV88 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(287,plain,
! [SV89: $i,SV54: $i,SV14: $i] :
( ( ( SV14 != SV54 )
| ~ ( rrx2a @ SV14 @ SV89 )
| ( rrx2a @ SV54 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(288,plain,
! [SV90: $i,SV55: $i,SV15: $i] :
( ( ( SV15 != SV55 )
| ~ ( rrx2a @ SV90 @ SV15 )
| ( rrx2a @ SV90 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(289,plain,
! [SV91: $i,SV56: $i,SV16: $i] :
( ( ( SV16 != SV56 )
| ~ ( rrx3 @ SV16 @ SV91 )
| ( rrx3 @ SV56 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(290,plain,
! [SV92: $i,SV57: $i,SV17: $i] :
( ( ( SV17 != SV57 )
| ~ ( rrx3 @ SV92 @ SV17 )
| ( rrx3 @ SV92 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(291,plain,
! [SV93: $i,SV58: $i,SV18: $i] :
( ( ( SV18 != SV58 )
| ~ ( rrx3a @ SV18 @ SV93 )
| ( rrx3a @ SV58 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(292,plain,
! [SV94: $i,SV59: $i,SV19: $i] :
( ( ( SV19 != SV59 )
| ~ ( rrx3a @ SV94 @ SV19 )
| ( rrx3a @ SV94 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(293,plain,
! [SV95: $i,SV60: $i,SV20: $i] :
( ( ( SV20 != SV60 )
| ~ ( rrx4 @ SV20 @ SV95 )
| ( rrx4 @ SV60 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(294,plain,
! [SV96: $i,SV61: $i,SV21: $i] :
( ( ( SV21 != SV61 )
| ~ ( rrx4 @ SV96 @ SV21 )
| ( rrx4 @ SV96 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(295,plain,
! [SV97: $i,SV62: $i,SV22: $i] :
( ( ( SV22 != SV62 )
| ~ ( rrx4a @ SV22 @ SV97 )
| ( rrx4a @ SV62 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(296,plain,
! [SV98: $i,SV63: $i,SV23: $i] :
( ( ( SV23 != SV63 )
| ~ ( rrx4a @ SV98 @ SV23 )
| ( rrx4a @ SV98 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(297,plain,
! [SV99: $i,SV64: $i,SV24: $i] :
( ( ( SV24 != SV64 )
| ~ ( rrxa @ SV24 @ SV99 )
| ( rrxa @ SV64 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(298,plain,
! [SV100: $i,SV65: $i,SV25: $i] :
( ( ( SV25 != SV65 )
| ~ ( rrxa @ SV100 @ SV25 )
| ( rrxa @ SV100 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(299,plain,
! [SV66: $i,SV26: $i] :
( ( ( ( SV26 != SV66 )
| ~ ( xsd_integer @ SV26 ) )
= $true )
| ( ( xsd_integer @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(300,plain,
! [SV67: $i,SV27: $i] :
( ( ( ( SV27 != SV67 )
| ~ ( xsd_string @ SV27 ) )
= $true )
| ( ( xsd_string @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(301,plain,
! [SV101: $i,SV68: $i,SV28: $i] :
( ( ~ ( rrx @ SV28 @ SV68 )
| ~ ( rrx @ SV28 @ SV101 )
| ( SV68 = SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(302,plain,
! [SV102: $i,SV69: $i,SV29: $i] :
( ( ~ ( rrx3 @ SV29 @ SV69 )
| ~ ( rrx3 @ SV29 @ SV102 )
| ( SV69 = SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(303,plain,
! [SV103: $i,SV70: $i,SV30: $i] :
( ( ~ ( rrx3a @ SV30 @ SV70 )
| ~ ( rrx3a @ SV30 @ SV103 )
| ( SV70 = SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(304,plain,
! [SV104: $i,SV71: $i,SV31: $i] :
( ( ~ ( rrx4 @ SV31 @ SV71 )
| ~ ( rrx4 @ SV31 @ SV104 )
| ( SV71 = SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(305,plain,
! [SV105: $i,SV72: $i,SV32: $i] :
( ( ~ ( rrx4a @ SV32 @ SV72 )
| ~ ( rrx4a @ SV32 @ SV105 )
| ( SV72 = SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(306,plain,
! [SV73: $i,SV33: $i] :
( ( ( ~ ( rrx3 @ SV33 @ SV73 ) )
= $true )
| ( ( rrx @ SV33 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(307,plain,
! [SV74: $i,SV34: $i] :
( ( ( ~ ( rrx3a @ SV34 @ SV74 ) )
= $true )
| ( ( rrxa @ SV34 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(308,plain,
! [SV75: $i,SV35: $i] :
( ( ( ~ ( rrx4a @ SV35 @ SV75 ) )
= $true )
| ( ( rrxa @ SV35 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(309,plain,
! [SV76: $i,SV36: $i] :
( ( ( ~ ( rrx4 @ SV36 @ SV76 ) )
= $true )
| ( ( rrx2 @ SV36 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(310,plain,
! [SV77: $i,SV37: $i] :
( ( ( ~ ( rrx3a @ SV37 @ SV77 ) )
= $true )
| ( ( rrx1a @ SV37 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(311,plain,
! [SV78: $i,SV38: $i] :
( ( ( ~ ( rrx4a @ SV38 @ SV78 ) )
= $true )
| ( ( rrx2a @ SV38 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(312,plain,
! [SV79: $i,SV39: $i] :
( ( ( ~ ( rrx3 @ SV39 @ SV79 ) )
= $true )
| ( ( rrx1 @ SV39 @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(313,plain,
! [SV80: $i,SV40: $i] :
( ( ( ~ ( rrx4 @ SV40 @ SV80 ) )
= $true )
| ( ( rrx @ SV40 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(314,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(315,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(316,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx4 @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK3_Y @ SX0 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SX0 ) ) )
| ! [SX1: $i] :
( ~ ( cc1 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(317,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SX0 ) )
| ~ ( rrx4 @ SX0 @ ( sK2_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc1 @ ( sK1_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(318,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(319,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(320,plain,
! [SV41: $i,SV1: $i] :
( ( ( ( SV1 != SV41 ) )
= $true )
| ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(321,plain,
! [SV42: $i,SV2: $i] :
( ( ( ( SV2 != SV42 ) )
= $true )
| ( ( ~ ( cc1 @ SV2 ) )
= $true )
| ( ( cc1 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(322,plain,
! [SV43: $i,SV3: $i] :
( ( ( ( SV3 != SV43 ) )
= $true )
| ( ( ~ ( cc2 @ SV3 ) )
= $true )
| ( ( cc2 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(323,plain,
! [SV44: $i,SV4: $i] :
( ( ( ( SV4 != SV44 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV4 ) )
= $true )
| ( ( cowlNothing @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(324,plain,
! [SV45: $i,SV5: $i] :
( ( ( ( SV5 != SV45 ) )
= $true )
| ( ( ~ ( cowlThing @ SV5 ) )
= $true )
| ( ( cowlThing @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(325,plain,
! [SV81: $i,SV46: $i,SV6: $i] :
( ( ( ( SV6 != SV46 )
| ~ ( rrx @ SV6 @ SV81 ) )
= $true )
| ( ( rrx @ SV46 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(326,plain,
! [SV82: $i,SV47: $i,SV7: $i] :
( ( ( ( SV7 != SV47 )
| ~ ( rrx @ SV82 @ SV7 ) )
= $true )
| ( ( rrx @ SV82 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(327,plain,
! [SV83: $i,SV48: $i,SV8: $i] :
( ( ( ( SV8 != SV48 )
| ~ ( rrx1 @ SV8 @ SV83 ) )
= $true )
| ( ( rrx1 @ SV48 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(328,plain,
! [SV84: $i,SV49: $i,SV9: $i] :
( ( ( ( SV9 != SV49 )
| ~ ( rrx1 @ SV84 @ SV9 ) )
= $true )
| ( ( rrx1 @ SV84 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(329,plain,
! [SV85: $i,SV50: $i,SV10: $i] :
( ( ( ( SV10 != SV50 )
| ~ ( rrx1a @ SV10 @ SV85 ) )
= $true )
| ( ( rrx1a @ SV50 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(330,plain,
! [SV86: $i,SV51: $i,SV11: $i] :
( ( ( ( SV11 != SV51 )
| ~ ( rrx1a @ SV86 @ SV11 ) )
= $true )
| ( ( rrx1a @ SV86 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(331,plain,
! [SV87: $i,SV52: $i,SV12: $i] :
( ( ( ( SV12 != SV52 )
| ~ ( rrx2 @ SV12 @ SV87 ) )
= $true )
| ( ( rrx2 @ SV52 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(332,plain,
! [SV88: $i,SV53: $i,SV13: $i] :
( ( ( ( SV13 != SV53 )
| ~ ( rrx2 @ SV88 @ SV13 ) )
= $true )
| ( ( rrx2 @ SV88 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(333,plain,
! [SV89: $i,SV54: $i,SV14: $i] :
( ( ( ( SV14 != SV54 )
| ~ ( rrx2a @ SV14 @ SV89 ) )
= $true )
| ( ( rrx2a @ SV54 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(334,plain,
! [SV90: $i,SV55: $i,SV15: $i] :
( ( ( ( SV15 != SV55 )
| ~ ( rrx2a @ SV90 @ SV15 ) )
= $true )
| ( ( rrx2a @ SV90 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(335,plain,
! [SV91: $i,SV56: $i,SV16: $i] :
( ( ( ( SV16 != SV56 )
| ~ ( rrx3 @ SV16 @ SV91 ) )
= $true )
| ( ( rrx3 @ SV56 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(336,plain,
! [SV92: $i,SV57: $i,SV17: $i] :
( ( ( ( SV17 != SV57 )
| ~ ( rrx3 @ SV92 @ SV17 ) )
= $true )
| ( ( rrx3 @ SV92 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(337,plain,
! [SV93: $i,SV58: $i,SV18: $i] :
( ( ( ( SV18 != SV58 )
| ~ ( rrx3a @ SV18 @ SV93 ) )
= $true )
| ( ( rrx3a @ SV58 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(338,plain,
! [SV94: $i,SV59: $i,SV19: $i] :
( ( ( ( SV19 != SV59 )
| ~ ( rrx3a @ SV94 @ SV19 ) )
= $true )
| ( ( rrx3a @ SV94 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(339,plain,
! [SV95: $i,SV60: $i,SV20: $i] :
( ( ( ( SV20 != SV60 )
| ~ ( rrx4 @ SV20 @ SV95 ) )
= $true )
| ( ( rrx4 @ SV60 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(340,plain,
! [SV96: $i,SV61: $i,SV21: $i] :
( ( ( ( SV21 != SV61 )
| ~ ( rrx4 @ SV96 @ SV21 ) )
= $true )
| ( ( rrx4 @ SV96 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(341,plain,
! [SV97: $i,SV62: $i,SV22: $i] :
( ( ( ( SV22 != SV62 )
| ~ ( rrx4a @ SV22 @ SV97 ) )
= $true )
| ( ( rrx4a @ SV62 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(342,plain,
! [SV98: $i,SV63: $i,SV23: $i] :
( ( ( ( SV23 != SV63 )
| ~ ( rrx4a @ SV98 @ SV23 ) )
= $true )
| ( ( rrx4a @ SV98 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(343,plain,
! [SV99: $i,SV64: $i,SV24: $i] :
( ( ( ( SV24 != SV64 )
| ~ ( rrxa @ SV24 @ SV99 ) )
= $true )
| ( ( rrxa @ SV64 @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(344,plain,
! [SV100: $i,SV65: $i,SV25: $i] :
( ( ( ( SV25 != SV65 )
| ~ ( rrxa @ SV100 @ SV25 ) )
= $true )
| ( ( rrxa @ SV100 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(345,plain,
! [SV66: $i,SV26: $i] :
( ( ( ( SV26 != SV66 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV26 ) )
= $true )
| ( ( xsd_integer @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(346,plain,
! [SV67: $i,SV27: $i] :
( ( ( ( SV27 != SV67 ) )
= $true )
| ( ( ~ ( xsd_string @ SV27 ) )
= $true )
| ( ( xsd_string @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(347,plain,
! [SV101: $i,SV68: $i,SV28: $i] :
( ( ( ~ ( rrx @ SV28 @ SV68 )
| ~ ( rrx @ SV28 @ SV101 ) )
= $true )
| ( ( SV68 = SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(348,plain,
! [SV102: $i,SV69: $i,SV29: $i] :
( ( ( ~ ( rrx3 @ SV29 @ SV69 )
| ~ ( rrx3 @ SV29 @ SV102 ) )
= $true )
| ( ( SV69 = SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(349,plain,
! [SV103: $i,SV70: $i,SV30: $i] :
( ( ( ~ ( rrx3a @ SV30 @ SV70 )
| ~ ( rrx3a @ SV30 @ SV103 ) )
= $true )
| ( ( SV70 = SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(350,plain,
! [SV104: $i,SV71: $i,SV31: $i] :
( ( ( ~ ( rrx4 @ SV31 @ SV71 )
| ~ ( rrx4 @ SV31 @ SV104 ) )
= $true )
| ( ( SV71 = SV104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(351,plain,
! [SV105: $i,SV72: $i,SV32: $i] :
( ( ( ~ ( rrx4a @ SV32 @ SV72 )
| ~ ( rrx4a @ SV32 @ SV105 ) )
= $true )
| ( ( SV72 = SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(352,plain,
! [SV73: $i,SV33: $i] :
( ( ( rrx3 @ SV33 @ SV73 )
= $false )
| ( ( rrx @ SV33 @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(353,plain,
! [SV74: $i,SV34: $i] :
( ( ( rrx3a @ SV34 @ SV74 )
= $false )
| ( ( rrxa @ SV34 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(354,plain,
! [SV75: $i,SV35: $i] :
( ( ( rrx4a @ SV35 @ SV75 )
= $false )
| ( ( rrxa @ SV35 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(355,plain,
! [SV76: $i,SV36: $i] :
( ( ( rrx4 @ SV36 @ SV76 )
= $false )
| ( ( rrx2 @ SV36 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(356,plain,
! [SV77: $i,SV37: $i] :
( ( ( rrx3a @ SV37 @ SV77 )
= $false )
| ( ( rrx1a @ SV37 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(357,plain,
! [SV78: $i,SV38: $i] :
( ( ( rrx4a @ SV38 @ SV78 )
= $false )
| ( ( rrx2a @ SV38 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(358,plain,
! [SV79: $i,SV39: $i] :
( ( ( rrx3 @ SV39 @ SV79 )
= $false )
| ( ( rrx1 @ SV39 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(359,plain,
! [SV80: $i,SV40: $i] :
( ( ( rrx4 @ SV40 @ SV80 )
= $false )
| ( ( rrx @ SV40 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(360,plain,
! [SV106: $i] :
( ( cowlThing @ SV106 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(361,plain,
! [SV107: $i] :
( ( ~ ( cowlNothing @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(362,plain,
! [SV108: $i] :
( ( ! [SY201: $i] :
( ~ ( cc2 @ SY201 )
| ~ ( rrx4 @ SV108 @ SY201 ) )
| ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SV108 ) ) )
| ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) )
| ( cUnsatisfiable @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(363,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SX0 ) )
| ~ ( rrx4 @ SX0 @ ( sK2_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc1 @ ( sK1_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(364,plain,
! [SV109: $i] :
( ( ~ ( xsd_string @ SV109 )
| ~ ( xsd_integer @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(365,plain,
! [SV110: $i] :
( ( ( xsd_integer @ SV110 )
| ( xsd_string @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(366,plain,
! [SV41: $i,SV1: $i] :
( ( ( SV1 = SV41 )
= $false )
| ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(367,plain,
! [SV42: $i,SV2: $i] :
( ( ( SV2 = SV42 )
= $false )
| ( ( ~ ( cc1 @ SV2 ) )
= $true )
| ( ( cc1 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(368,plain,
! [SV43: $i,SV3: $i] :
( ( ( SV3 = SV43 )
= $false )
| ( ( ~ ( cc2 @ SV3 ) )
= $true )
| ( ( cc2 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(369,plain,
! [SV44: $i,SV4: $i] :
( ( ( SV4 = SV44 )
= $false )
| ( ( ~ ( cowlNothing @ SV4 ) )
= $true )
| ( ( cowlNothing @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(370,plain,
! [SV45: $i,SV5: $i] :
( ( ( SV5 = SV45 )
= $false )
| ( ( ~ ( cowlThing @ SV5 ) )
= $true )
| ( ( cowlThing @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(371,plain,
! [SV81: $i,SV46: $i,SV6: $i] :
( ( ( ( SV6 != SV46 ) )
= $true )
| ( ( ~ ( rrx @ SV6 @ SV81 ) )
= $true )
| ( ( rrx @ SV46 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(372,plain,
! [SV82: $i,SV47: $i,SV7: $i] :
( ( ( ( SV7 != SV47 ) )
= $true )
| ( ( ~ ( rrx @ SV82 @ SV7 ) )
= $true )
| ( ( rrx @ SV82 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(373,plain,
! [SV83: $i,SV48: $i,SV8: $i] :
( ( ( ( SV8 != SV48 ) )
= $true )
| ( ( ~ ( rrx1 @ SV8 @ SV83 ) )
= $true )
| ( ( rrx1 @ SV48 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(374,plain,
! [SV84: $i,SV49: $i,SV9: $i] :
( ( ( ( SV9 != SV49 ) )
= $true )
| ( ( ~ ( rrx1 @ SV84 @ SV9 ) )
= $true )
| ( ( rrx1 @ SV84 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(375,plain,
! [SV85: $i,SV50: $i,SV10: $i] :
( ( ( ( SV10 != SV50 ) )
= $true )
| ( ( ~ ( rrx1a @ SV10 @ SV85 ) )
= $true )
| ( ( rrx1a @ SV50 @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(376,plain,
! [SV86: $i,SV51: $i,SV11: $i] :
( ( ( ( SV11 != SV51 ) )
= $true )
| ( ( ~ ( rrx1a @ SV86 @ SV11 ) )
= $true )
| ( ( rrx1a @ SV86 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(377,plain,
! [SV87: $i,SV52: $i,SV12: $i] :
( ( ( ( SV12 != SV52 ) )
= $true )
| ( ( ~ ( rrx2 @ SV12 @ SV87 ) )
= $true )
| ( ( rrx2 @ SV52 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(378,plain,
! [SV88: $i,SV53: $i,SV13: $i] :
( ( ( ( SV13 != SV53 ) )
= $true )
| ( ( ~ ( rrx2 @ SV88 @ SV13 ) )
= $true )
| ( ( rrx2 @ SV88 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(379,plain,
! [SV89: $i,SV54: $i,SV14: $i] :
( ( ( ( SV14 != SV54 ) )
= $true )
| ( ( ~ ( rrx2a @ SV14 @ SV89 ) )
= $true )
| ( ( rrx2a @ SV54 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(380,plain,
! [SV90: $i,SV55: $i,SV15: $i] :
( ( ( ( SV15 != SV55 ) )
= $true )
| ( ( ~ ( rrx2a @ SV90 @ SV15 ) )
= $true )
| ( ( rrx2a @ SV90 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(381,plain,
! [SV91: $i,SV56: $i,SV16: $i] :
( ( ( ( SV16 != SV56 ) )
= $true )
| ( ( ~ ( rrx3 @ SV16 @ SV91 ) )
= $true )
| ( ( rrx3 @ SV56 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(382,plain,
! [SV92: $i,SV57: $i,SV17: $i] :
( ( ( ( SV17 != SV57 ) )
= $true )
| ( ( ~ ( rrx3 @ SV92 @ SV17 ) )
= $true )
| ( ( rrx3 @ SV92 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(383,plain,
! [SV93: $i,SV58: $i,SV18: $i] :
( ( ( ( SV18 != SV58 ) )
= $true )
| ( ( ~ ( rrx3a @ SV18 @ SV93 ) )
= $true )
| ( ( rrx3a @ SV58 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(384,plain,
! [SV94: $i,SV59: $i,SV19: $i] :
( ( ( ( SV19 != SV59 ) )
= $true )
| ( ( ~ ( rrx3a @ SV94 @ SV19 ) )
= $true )
| ( ( rrx3a @ SV94 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(385,plain,
! [SV95: $i,SV60: $i,SV20: $i] :
( ( ( ( SV20 != SV60 ) )
= $true )
| ( ( ~ ( rrx4 @ SV20 @ SV95 ) )
= $true )
| ( ( rrx4 @ SV60 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(386,plain,
! [SV96: $i,SV61: $i,SV21: $i] :
( ( ( ( SV21 != SV61 ) )
= $true )
| ( ( ~ ( rrx4 @ SV96 @ SV21 ) )
= $true )
| ( ( rrx4 @ SV96 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(387,plain,
! [SV97: $i,SV62: $i,SV22: $i] :
( ( ( ( SV22 != SV62 ) )
= $true )
| ( ( ~ ( rrx4a @ SV22 @ SV97 ) )
= $true )
| ( ( rrx4a @ SV62 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(388,plain,
! [SV98: $i,SV63: $i,SV23: $i] :
( ( ( ( SV23 != SV63 ) )
= $true )
| ( ( ~ ( rrx4a @ SV98 @ SV23 ) )
= $true )
| ( ( rrx4a @ SV98 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(389,plain,
! [SV99: $i,SV64: $i,SV24: $i] :
( ( ( ( SV24 != SV64 ) )
= $true )
| ( ( ~ ( rrxa @ SV24 @ SV99 ) )
= $true )
| ( ( rrxa @ SV64 @ SV99 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(390,plain,
! [SV100: $i,SV65: $i,SV25: $i] :
( ( ( ( SV25 != SV65 ) )
= $true )
| ( ( ~ ( rrxa @ SV100 @ SV25 ) )
= $true )
| ( ( rrxa @ SV100 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(391,plain,
! [SV66: $i,SV26: $i] :
( ( ( SV26 = SV66 )
= $false )
| ( ( ~ ( xsd_integer @ SV26 ) )
= $true )
| ( ( xsd_integer @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(392,plain,
! [SV67: $i,SV27: $i] :
( ( ( SV27 = SV67 )
= $false )
| ( ( ~ ( xsd_string @ SV27 ) )
= $true )
| ( ( xsd_string @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(393,plain,
! [SV101: $i,SV68: $i,SV28: $i] :
( ( ( ~ ( rrx @ SV28 @ SV68 ) )
= $true )
| ( ( ~ ( rrx @ SV28 @ SV101 ) )
= $true )
| ( ( SV68 = SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(394,plain,
! [SV102: $i,SV69: $i,SV29: $i] :
( ( ( ~ ( rrx3 @ SV29 @ SV69 ) )
= $true )
| ( ( ~ ( rrx3 @ SV29 @ SV102 ) )
= $true )
| ( ( SV69 = SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(395,plain,
! [SV103: $i,SV70: $i,SV30: $i] :
( ( ( ~ ( rrx3a @ SV30 @ SV70 ) )
= $true )
| ( ( ~ ( rrx3a @ SV30 @ SV103 ) )
= $true )
| ( ( SV70 = SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(396,plain,
! [SV104: $i,SV71: $i,SV31: $i] :
( ( ( ~ ( rrx4 @ SV31 @ SV71 ) )
= $true )
| ( ( ~ ( rrx4 @ SV31 @ SV104 ) )
= $true )
| ( ( SV71 = SV104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(397,plain,
! [SV105: $i,SV72: $i,SV32: $i] :
( ( ( ~ ( rrx4a @ SV32 @ SV72 ) )
= $true )
| ( ( ~ ( rrx4a @ SV32 @ SV105 ) )
= $true )
| ( ( SV72 = SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(398,plain,
! [SV107: $i] :
( ( cowlNothing @ SV107 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(399,plain,
! [SV108: $i] :
( ( ( ! [SY201: $i] :
( ~ ( cc2 @ SY201 )
| ~ ( rrx4 @ SV108 @ SY201 ) )
| ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SV108 ) ) )
| ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(400,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SX0 ) )
| ~ ( rrx4 @ SX0 @ ( sK2_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(401,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc1 @ ( sK1_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[363]) ).
thf(402,plain,
! [SV109: $i] :
( ( ( ~ ( xsd_string @ SV109 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(403,plain,
! [SV110: $i] :
( ( ( xsd_integer @ SV110 )
= $true )
| ( ( xsd_string @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(404,plain,
! [SV41: $i,SV1: $i] :
( ( ( cUnsatisfiable @ SV1 )
= $false )
| ( ( SV1 = SV41 )
= $false )
| ( ( cUnsatisfiable @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(405,plain,
! [SV42: $i,SV2: $i] :
( ( ( cc1 @ SV2 )
= $false )
| ( ( SV2 = SV42 )
= $false )
| ( ( cc1 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(406,plain,
! [SV43: $i,SV3: $i] :
( ( ( cc2 @ SV3 )
= $false )
| ( ( SV3 = SV43 )
= $false )
| ( ( cc2 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(407,plain,
! [SV44: $i,SV4: $i] :
( ( ( cowlNothing @ SV4 )
= $false )
| ( ( SV4 = SV44 )
= $false )
| ( ( cowlNothing @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(408,plain,
! [SV45: $i,SV5: $i] :
( ( ( cowlThing @ SV5 )
= $false )
| ( ( SV5 = SV45 )
= $false )
| ( ( cowlThing @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(409,plain,
! [SV81: $i,SV46: $i,SV6: $i] :
( ( ( SV6 = SV46 )
= $false )
| ( ( ~ ( rrx @ SV6 @ SV81 ) )
= $true )
| ( ( rrx @ SV46 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(410,plain,
! [SV82: $i,SV47: $i,SV7: $i] :
( ( ( SV7 = SV47 )
= $false )
| ( ( ~ ( rrx @ SV82 @ SV7 ) )
= $true )
| ( ( rrx @ SV82 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(411,plain,
! [SV83: $i,SV48: $i,SV8: $i] :
( ( ( SV8 = SV48 )
= $false )
| ( ( ~ ( rrx1 @ SV8 @ SV83 ) )
= $true )
| ( ( rrx1 @ SV48 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(412,plain,
! [SV84: $i,SV49: $i,SV9: $i] :
( ( ( SV9 = SV49 )
= $false )
| ( ( ~ ( rrx1 @ SV84 @ SV9 ) )
= $true )
| ( ( rrx1 @ SV84 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(413,plain,
! [SV85: $i,SV50: $i,SV10: $i] :
( ( ( SV10 = SV50 )
= $false )
| ( ( ~ ( rrx1a @ SV10 @ SV85 ) )
= $true )
| ( ( rrx1a @ SV50 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(414,plain,
! [SV86: $i,SV51: $i,SV11: $i] :
( ( ( SV11 = SV51 )
= $false )
| ( ( ~ ( rrx1a @ SV86 @ SV11 ) )
= $true )
| ( ( rrx1a @ SV86 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(415,plain,
! [SV87: $i,SV52: $i,SV12: $i] :
( ( ( SV12 = SV52 )
= $false )
| ( ( ~ ( rrx2 @ SV12 @ SV87 ) )
= $true )
| ( ( rrx2 @ SV52 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(416,plain,
! [SV88: $i,SV53: $i,SV13: $i] :
( ( ( SV13 = SV53 )
= $false )
| ( ( ~ ( rrx2 @ SV88 @ SV13 ) )
= $true )
| ( ( rrx2 @ SV88 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(417,plain,
! [SV89: $i,SV54: $i,SV14: $i] :
( ( ( SV14 = SV54 )
= $false )
| ( ( ~ ( rrx2a @ SV14 @ SV89 ) )
= $true )
| ( ( rrx2a @ SV54 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(418,plain,
! [SV90: $i,SV55: $i,SV15: $i] :
( ( ( SV15 = SV55 )
= $false )
| ( ( ~ ( rrx2a @ SV90 @ SV15 ) )
= $true )
| ( ( rrx2a @ SV90 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(419,plain,
! [SV91: $i,SV56: $i,SV16: $i] :
( ( ( SV16 = SV56 )
= $false )
| ( ( ~ ( rrx3 @ SV16 @ SV91 ) )
= $true )
| ( ( rrx3 @ SV56 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(420,plain,
! [SV92: $i,SV57: $i,SV17: $i] :
( ( ( SV17 = SV57 )
= $false )
| ( ( ~ ( rrx3 @ SV92 @ SV17 ) )
= $true )
| ( ( rrx3 @ SV92 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(421,plain,
! [SV93: $i,SV58: $i,SV18: $i] :
( ( ( SV18 = SV58 )
= $false )
| ( ( ~ ( rrx3a @ SV18 @ SV93 ) )
= $true )
| ( ( rrx3a @ SV58 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(422,plain,
! [SV94: $i,SV59: $i,SV19: $i] :
( ( ( SV19 = SV59 )
= $false )
| ( ( ~ ( rrx3a @ SV94 @ SV19 ) )
= $true )
| ( ( rrx3a @ SV94 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(423,plain,
! [SV95: $i,SV60: $i,SV20: $i] :
( ( ( SV20 = SV60 )
= $false )
| ( ( ~ ( rrx4 @ SV20 @ SV95 ) )
= $true )
| ( ( rrx4 @ SV60 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(424,plain,
! [SV96: $i,SV61: $i,SV21: $i] :
( ( ( SV21 = SV61 )
= $false )
| ( ( ~ ( rrx4 @ SV96 @ SV21 ) )
= $true )
| ( ( rrx4 @ SV96 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(425,plain,
! [SV97: $i,SV62: $i,SV22: $i] :
( ( ( SV22 = SV62 )
= $false )
| ( ( ~ ( rrx4a @ SV22 @ SV97 ) )
= $true )
| ( ( rrx4a @ SV62 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(426,plain,
! [SV98: $i,SV63: $i,SV23: $i] :
( ( ( SV23 = SV63 )
= $false )
| ( ( ~ ( rrx4a @ SV98 @ SV23 ) )
= $true )
| ( ( rrx4a @ SV98 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(427,plain,
! [SV99: $i,SV64: $i,SV24: $i] :
( ( ( SV24 = SV64 )
= $false )
| ( ( ~ ( rrxa @ SV24 @ SV99 ) )
= $true )
| ( ( rrxa @ SV64 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(428,plain,
! [SV100: $i,SV65: $i,SV25: $i] :
( ( ( SV25 = SV65 )
= $false )
| ( ( ~ ( rrxa @ SV100 @ SV25 ) )
= $true )
| ( ( rrxa @ SV100 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(429,plain,
! [SV66: $i,SV26: $i] :
( ( ( xsd_integer @ SV26 )
= $false )
| ( ( SV26 = SV66 )
= $false )
| ( ( xsd_integer @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(430,plain,
! [SV67: $i,SV27: $i] :
( ( ( xsd_string @ SV27 )
= $false )
| ( ( SV27 = SV67 )
= $false )
| ( ( xsd_string @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(431,plain,
! [SV101: $i,SV68: $i,SV28: $i] :
( ( ( rrx @ SV28 @ SV68 )
= $false )
| ( ( ~ ( rrx @ SV28 @ SV101 ) )
= $true )
| ( ( SV68 = SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(432,plain,
! [SV102: $i,SV69: $i,SV29: $i] :
( ( ( rrx3 @ SV29 @ SV69 )
= $false )
| ( ( ~ ( rrx3 @ SV29 @ SV102 ) )
= $true )
| ( ( SV69 = SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(433,plain,
! [SV103: $i,SV70: $i,SV30: $i] :
( ( ( rrx3a @ SV30 @ SV70 )
= $false )
| ( ( ~ ( rrx3a @ SV30 @ SV103 ) )
= $true )
| ( ( SV70 = SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(434,plain,
! [SV104: $i,SV71: $i,SV31: $i] :
( ( ( rrx4 @ SV31 @ SV71 )
= $false )
| ( ( ~ ( rrx4 @ SV31 @ SV104 ) )
= $true )
| ( ( SV71 = SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(435,plain,
! [SV105: $i,SV72: $i,SV32: $i] :
( ( ( rrx4a @ SV32 @ SV72 )
= $false )
| ( ( ~ ( rrx4a @ SV32 @ SV105 ) )
= $true )
| ( ( SV72 = SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(436,plain,
! [SV108: $i] :
( ( ( ! [SY201: $i] :
( ~ ( cc2 @ SY201 )
| ~ ( rrx4 @ SV108 @ SY201 ) )
| ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SV108 ) ) ) )
= $true )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(437,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SX0 ) )
| ~ ( rrx4 @ SX0 @ ( sK2_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[400]) ).
thf(438,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc1 @ ( sK1_Y @ SX0 ) )
| ~ ( rrx3 @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(439,plain,
! [SV109: $i] :
( ( ( xsd_string @ SV109 )
= $false )
| ( ( ~ ( xsd_integer @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(440,plain,
! [SV46: $i,SV81: $i,SV6: $i] :
( ( ( rrx @ SV6 @ SV81 )
= $false )
| ( ( SV6 = SV46 )
= $false )
| ( ( rrx @ SV46 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(441,plain,
! [SV47: $i,SV7: $i,SV82: $i] :
( ( ( rrx @ SV82 @ SV7 )
= $false )
| ( ( SV7 = SV47 )
= $false )
| ( ( rrx @ SV82 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(442,plain,
! [SV48: $i,SV83: $i,SV8: $i] :
( ( ( rrx1 @ SV8 @ SV83 )
= $false )
| ( ( SV8 = SV48 )
= $false )
| ( ( rrx1 @ SV48 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(443,plain,
! [SV49: $i,SV9: $i,SV84: $i] :
( ( ( rrx1 @ SV84 @ SV9 )
= $false )
| ( ( SV9 = SV49 )
= $false )
| ( ( rrx1 @ SV84 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(444,plain,
! [SV50: $i,SV85: $i,SV10: $i] :
( ( ( rrx1a @ SV10 @ SV85 )
= $false )
| ( ( SV10 = SV50 )
= $false )
| ( ( rrx1a @ SV50 @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(445,plain,
! [SV51: $i,SV11: $i,SV86: $i] :
( ( ( rrx1a @ SV86 @ SV11 )
= $false )
| ( ( SV11 = SV51 )
= $false )
| ( ( rrx1a @ SV86 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(446,plain,
! [SV52: $i,SV87: $i,SV12: $i] :
( ( ( rrx2 @ SV12 @ SV87 )
= $false )
| ( ( SV12 = SV52 )
= $false )
| ( ( rrx2 @ SV52 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(447,plain,
! [SV53: $i,SV13: $i,SV88: $i] :
( ( ( rrx2 @ SV88 @ SV13 )
= $false )
| ( ( SV13 = SV53 )
= $false )
| ( ( rrx2 @ SV88 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(448,plain,
! [SV54: $i,SV89: $i,SV14: $i] :
( ( ( rrx2a @ SV14 @ SV89 )
= $false )
| ( ( SV14 = SV54 )
= $false )
| ( ( rrx2a @ SV54 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(449,plain,
! [SV55: $i,SV15: $i,SV90: $i] :
( ( ( rrx2a @ SV90 @ SV15 )
= $false )
| ( ( SV15 = SV55 )
= $false )
| ( ( rrx2a @ SV90 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(450,plain,
! [SV56: $i,SV91: $i,SV16: $i] :
( ( ( rrx3 @ SV16 @ SV91 )
= $false )
| ( ( SV16 = SV56 )
= $false )
| ( ( rrx3 @ SV56 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(451,plain,
! [SV57: $i,SV17: $i,SV92: $i] :
( ( ( rrx3 @ SV92 @ SV17 )
= $false )
| ( ( SV17 = SV57 )
= $false )
| ( ( rrx3 @ SV92 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(452,plain,
! [SV58: $i,SV93: $i,SV18: $i] :
( ( ( rrx3a @ SV18 @ SV93 )
= $false )
| ( ( SV18 = SV58 )
= $false )
| ( ( rrx3a @ SV58 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(453,plain,
! [SV59: $i,SV19: $i,SV94: $i] :
( ( ( rrx3a @ SV94 @ SV19 )
= $false )
| ( ( SV19 = SV59 )
= $false )
| ( ( rrx3a @ SV94 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(454,plain,
! [SV60: $i,SV95: $i,SV20: $i] :
( ( ( rrx4 @ SV20 @ SV95 )
= $false )
| ( ( SV20 = SV60 )
= $false )
| ( ( rrx4 @ SV60 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(455,plain,
! [SV61: $i,SV21: $i,SV96: $i] :
( ( ( rrx4 @ SV96 @ SV21 )
= $false )
| ( ( SV21 = SV61 )
= $false )
| ( ( rrx4 @ SV96 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(456,plain,
! [SV62: $i,SV97: $i,SV22: $i] :
( ( ( rrx4a @ SV22 @ SV97 )
= $false )
| ( ( SV22 = SV62 )
= $false )
| ( ( rrx4a @ SV62 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(457,plain,
! [SV63: $i,SV23: $i,SV98: $i] :
( ( ( rrx4a @ SV98 @ SV23 )
= $false )
| ( ( SV23 = SV63 )
= $false )
| ( ( rrx4a @ SV98 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(458,plain,
! [SV64: $i,SV99: $i,SV24: $i] :
( ( ( rrxa @ SV24 @ SV99 )
= $false )
| ( ( SV24 = SV64 )
= $false )
| ( ( rrxa @ SV64 @ SV99 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(459,plain,
! [SV65: $i,SV25: $i,SV100: $i] :
( ( ( rrxa @ SV100 @ SV25 )
= $false )
| ( ( SV25 = SV65 )
= $false )
| ( ( rrxa @ SV100 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(460,plain,
! [SV68: $i,SV101: $i,SV28: $i] :
( ( ( rrx @ SV28 @ SV101 )
= $false )
| ( ( rrx @ SV28 @ SV68 )
= $false )
| ( ( SV68 = SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(461,plain,
! [SV69: $i,SV102: $i,SV29: $i] :
( ( ( rrx3 @ SV29 @ SV102 )
= $false )
| ( ( rrx3 @ SV29 @ SV69 )
= $false )
| ( ( SV69 = SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(462,plain,
! [SV70: $i,SV103: $i,SV30: $i] :
( ( ( rrx3a @ SV30 @ SV103 )
= $false )
| ( ( rrx3a @ SV30 @ SV70 )
= $false )
| ( ( SV70 = SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(463,plain,
! [SV71: $i,SV104: $i,SV31: $i] :
( ( ( rrx4 @ SV31 @ SV104 )
= $false )
| ( ( rrx4 @ SV31 @ SV71 )
= $false )
| ( ( SV71 = SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(464,plain,
! [SV72: $i,SV105: $i,SV32: $i] :
( ( ( rrx4a @ SV32 @ SV105 )
= $false )
| ( ( rrx4a @ SV32 @ SV72 )
= $false )
| ( ( SV72 = SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(465,plain,
! [SV108: $i] :
( ( ( ! [SY201: $i] :
( ~ ( cc2 @ SY201 )
| ~ ( rrx4 @ SV108 @ SY201 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SV108 ) ) ) )
= $true )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(466,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SX0 ) )
| ~ ( rrx4 @ SX0 @ ( sK2_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(467,plain,
! [SV111: $i] :
( ( ~ ( cUnsatisfiable @ SV111 )
| ~ ( ~ ( cc1 @ ( sK1_Y @ SV111 ) )
| ~ ( rrx3 @ SV111 @ ( sK1_Y @ SV111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(468,plain,
! [SV109: $i] :
( ( ( xsd_integer @ SV109 )
= $false )
| ( ( xsd_string @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(469,plain,
! [SV108: $i,SV112: $i] :
( ( ( ~ ( cc2 @ SV112 )
| ~ ( rrx4 @ SV108 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SV108 ) ) ) )
= $true )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(470,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SX0 ) )
| ~ ( rrx4 @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(471,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[466]) ).
thf(472,plain,
! [SV111: $i] :
( ( ( ~ ( cUnsatisfiable @ SV111 ) )
= $true )
| ( ( ~ ( ~ ( cc1 @ ( sK1_Y @ SV111 ) )
| ~ ( rrx3 @ SV111 @ ( sK1_Y @ SV111 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(473,plain,
! [SV108: $i,SV112: $i] :
( ( ( ~ ( cc2 @ SV112 ) )
= $true )
| ( ( ~ ( rrx4 @ SV108 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SV108 ) ) ) )
= $true )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(474,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SX0 ) )
| ~ ( rrx4 @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(475,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( cc2 @ SX1 )
| ~ ( rrx3 @ SX0 @ SX1 )
| ~ ( cc1 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(476,plain,
! [SV111: $i] :
( ( ( cUnsatisfiable @ SV111 )
= $false )
| ( ( ~ ( ~ ( cc1 @ ( sK1_Y @ SV111 ) )
| ~ ( rrx3 @ SV111 @ ( sK1_Y @ SV111 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(477,plain,
! [SV108: $i,SV112: $i] :
( ( ( cc2 @ SV112 )
= $false )
| ( ( ~ ( rrx4 @ SV108 @ SV112 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SV108 ) ) ) )
= $true )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(478,plain,
! [SV113: $i] :
( ( ~ ( cUnsatisfiable @ SV113 )
| ~ ( ~ ( cc2 @ ( sK2_Y @ SV113 ) )
| ~ ( rrx4 @ SV113 @ ( sK2_Y @ SV113 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(479,plain,
! [SV114: $i] :
( ( ~ ( cUnsatisfiable @ SV114 )
| ! [SY203: $i] :
( ~ ( cc2 @ SY203 )
| ~ ( rrx3 @ SV114 @ SY203 )
| ~ ( cc1 @ SY203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(480,plain,
! [SV111: $i] :
( ( ( ~ ( cc1 @ ( sK1_Y @ SV111 ) )
| ~ ( rrx3 @ SV111 @ ( sK1_Y @ SV111 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(481,plain,
! [SV112: $i,SV108: $i] :
( ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SV108 ) ) ) )
= $true )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(482,plain,
! [SV113: $i] :
( ( ( ~ ( cUnsatisfiable @ SV113 ) )
= $true )
| ( ( ~ ( ~ ( cc2 @ ( sK2_Y @ SV113 ) )
| ~ ( rrx4 @ SV113 @ ( sK2_Y @ SV113 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(483,plain,
! [SV114: $i] :
( ( ( ~ ( cUnsatisfiable @ SV114 ) )
= $true )
| ( ( ! [SY203: $i] :
( ~ ( cc2 @ SY203 )
| ~ ( rrx3 @ SV114 @ SY203 )
| ~ ( cc1 @ SY203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(484,plain,
! [SV111: $i] :
( ( ( ~ ( cc1 @ ( sK1_Y @ SV111 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(485,plain,
! [SV111: $i] :
( ( ( ~ ( rrx3 @ SV111 @ ( sK1_Y @ SV111 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(486,plain,
! [SV112: $i,SV108: $i] :
( ( ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
| ~ ( cc1 @ ( sK3_Y @ SV108 ) ) )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(487,plain,
! [SV113: $i] :
( ( ( cUnsatisfiable @ SV113 )
= $false )
| ( ( ~ ( ~ ( cc2 @ ( sK2_Y @ SV113 ) )
| ~ ( rrx4 @ SV113 @ ( sK2_Y @ SV113 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(488,plain,
! [SV114: $i] :
( ( ( cUnsatisfiable @ SV114 )
= $false )
| ( ( ! [SY203: $i] :
( ~ ( cc2 @ SY203 )
| ~ ( rrx3 @ SV114 @ SY203 )
| ~ ( cc1 @ SY203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(489,plain,
! [SV111: $i] :
( ( ( cc1 @ ( sK1_Y @ SV111 ) )
= $true )
| ( ( cUnsatisfiable @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(490,plain,
! [SV111: $i] :
( ( ( rrx3 @ SV111 @ ( sK1_Y @ SV111 ) )
= $true )
| ( ( cUnsatisfiable @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(491,plain,
! [SV112: $i,SV108: $i] :
( ( ( ~ ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) ) )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(492,plain,
! [SV112: $i,SV108: $i] :
( ( ( ~ ( cc1 @ ( sK3_Y @ SV108 ) ) )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(493,plain,
! [SV113: $i] :
( ( ( ~ ( cc2 @ ( sK2_Y @ SV113 ) )
| ~ ( rrx4 @ SV113 @ ( sK2_Y @ SV113 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(494,plain,
! [SV114: $i,SV115: $i] :
( ( ( ~ ( cc2 @ SV115 )
| ~ ( rrx3 @ SV114 @ SV115 )
| ~ ( cc1 @ SV115 ) )
= $true )
| ( ( cUnsatisfiable @ SV114 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(495,plain,
! [SV112: $i,SV108: $i] :
( ( ( ~ ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) ) )
= $true )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(496,plain,
! [SV112: $i,SV108: $i] :
( ( ( cc1 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(497,plain,
! [SV113: $i] :
( ( ( ~ ( cc2 @ ( sK2_Y @ SV113 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(498,plain,
! [SV113: $i] :
( ( ( ~ ( rrx4 @ SV113 @ ( sK2_Y @ SV113 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(499,plain,
! [SV114: $i,SV115: $i] :
( ( ( ~ ( cc2 @ SV115 )
| ~ ( rrx3 @ SV114 @ SV115 ) )
= $true )
| ( ( ~ ( cc1 @ SV115 ) )
= $true )
| ( ( cUnsatisfiable @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(500,plain,
! [SV112: $i,SV108: $i] :
( ( ( ~ ( cc2 @ ( sK3_Y @ SV108 ) )
| ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(501,plain,
! [SV112: $i,SV108: $i,SV116: $i] :
( ( ( ~ ( cc1 @ SV116 )
| ~ ( rrx3 @ SV108 @ SV116 ) )
= $true )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( cc1 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(502,plain,
! [SV113: $i] :
( ( ( cc2 @ ( sK2_Y @ SV113 ) )
= $true )
| ( ( cUnsatisfiable @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(503,plain,
! [SV113: $i] :
( ( ( rrx4 @ SV113 @ ( sK2_Y @ SV113 ) )
= $true )
| ( ( cUnsatisfiable @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(504,plain,
! [SV114: $i,SV115: $i] :
( ( ( ~ ( cc2 @ SV115 ) )
= $true )
| ( ( ~ ( rrx3 @ SV114 @ SV115 ) )
= $true )
| ( ( ~ ( cc1 @ SV115 ) )
= $true )
| ( ( cUnsatisfiable @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(505,plain,
! [SV112: $i,SV108: $i] :
( ( ( ~ ( cc2 @ ( sK3_Y @ SV108 ) ) )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(506,plain,
! [SV112: $i,SV108: $i] :
( ( ( ~ ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) ) )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(507,plain,
! [SV112: $i,SV108: $i,SV116: $i] :
( ( ( ~ ( cc1 @ SV116 ) )
= $true )
| ( ( ~ ( rrx3 @ SV108 @ SV116 ) )
= $true )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( cc1 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(508,plain,
! [SV114: $i,SV115: $i] :
( ( ( cc2 @ SV115 )
= $false )
| ( ( ~ ( rrx3 @ SV114 @ SV115 ) )
= $true )
| ( ( ~ ( cc1 @ SV115 ) )
= $true )
| ( ( cUnsatisfiable @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(509,plain,
! [SV112: $i,SV108: $i] :
( ( ( cc2 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[505]) ).
thf(510,plain,
! [SV112: $i,SV108: $i] :
( ( ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( ! [SY202: $i] :
( ~ ( cc1 @ SY202 )
| ~ ( rrx3 @ SV108 @ SY202 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(511,plain,
! [SV112: $i,SV108: $i,SV116: $i] :
( ( ( cc1 @ SV116 )
= $false )
| ( ( ~ ( rrx3 @ SV108 @ SV116 ) )
= $true )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( cc1 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(512,plain,
! [SV115: $i,SV114: $i] :
( ( ( rrx3 @ SV114 @ SV115 )
= $false )
| ( ( cc2 @ SV115 )
= $false )
| ( ( ~ ( cc1 @ SV115 ) )
= $true )
| ( ( cUnsatisfiable @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(513,plain,
! [SV112: $i,SV108: $i,SV117: $i] :
( ( ( ~ ( cc1 @ SV117 )
| ~ ( rrx3 @ SV108 @ SV117 ) )
= $true )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( cc2 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(514,plain,
! [SV112: $i,SV108: $i,SV118: $i] :
( ( ( ~ ( cc1 @ SV118 )
| ~ ( rrx3 @ SV108 @ SV118 ) )
= $true )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(515,plain,
! [SV112: $i,SV116: $i,SV108: $i] :
( ( ( rrx3 @ SV108 @ SV116 )
= $false )
| ( ( cc1 @ SV116 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( cc1 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(516,plain,
! [SV114: $i,SV115: $i] :
( ( ( cc1 @ SV115 )
= $false )
| ( ( cc2 @ SV115 )
= $false )
| ( ( rrx3 @ SV114 @ SV115 )
= $false )
| ( ( cUnsatisfiable @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(517,plain,
! [SV112: $i,SV108: $i,SV117: $i] :
( ( ( ~ ( cc1 @ SV117 ) )
= $true )
| ( ( ~ ( rrx3 @ SV108 @ SV117 ) )
= $true )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( cc2 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(518,plain,
! [SV112: $i,SV108: $i,SV118: $i] :
( ( ( ~ ( cc1 @ SV118 ) )
= $true )
| ( ( ~ ( rrx3 @ SV108 @ SV118 ) )
= $true )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(519,plain,
! [SV112: $i,SV108: $i,SV117: $i] :
( ( ( cc1 @ SV117 )
= $false )
| ( ( ~ ( rrx3 @ SV108 @ SV117 ) )
= $true )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( cc2 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(520,plain,
! [SV112: $i,SV108: $i,SV118: $i] :
( ( ( cc1 @ SV118 )
= $false )
| ( ( ~ ( rrx3 @ SV108 @ SV118 ) )
= $true )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(521,plain,
! [SV112: $i,SV117: $i,SV108: $i] :
( ( ( rrx3 @ SV108 @ SV117 )
= $false )
| ( ( cc1 @ SV117 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( cc2 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(522,plain,
! [SV112: $i,SV118: $i,SV108: $i] :
( ( ( rrx3 @ SV108 @ SV118 )
= $false )
| ( ( cc1 @ SV118 )
= $false )
| ( ( rrx4 @ SV108 @ SV112 )
= $false )
| ( ( cc2 @ SV112 )
= $false )
| ( ( rrx3 @ SV108 @ ( sK3_Y @ SV108 ) )
= $true )
| ( ( cUnsatisfiable @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(523,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[171,522,521,516,515,503,502,490,489,468,464,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,441,440,430,429,408,407,406,405,404,403,398,360,359,358,357,356,355,354,353,352,224]) ).
thf(524,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS070+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 10:30:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.36 .
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 44
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.20/0.39 .
% 0.20/0.39 (rf:0,axioms:44,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:46,loop_count:0,foatp_calls:0,translation:fof_full).......................
% 0.38/0.54
% 0.38/0.54 ********************************
% 0.38/0.54 * All subproblems solved! *
% 0.38/0.54 ********************************
% 0.38/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:44,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:523,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.38/0.61
% 0.38/0.61 %**** Beginning of derivation protocol ****
% 0.38/0.61 % SZS output start CNFRefutation
% See solution above
% 0.38/0.61
% 0.38/0.61 %**** End of derivation protocol ****
% 0.38/0.61 %**** no. of clauses in derivation: 524 ****
% 0.38/0.61 %**** clause counter: 523 ****
% 0.38/0.61
% 0.38/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:44,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:523,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------