%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS079+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:26:15 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 23
% Syntax : Number of formulae : 331 ( 132 unt; 0 typ; 0 def)
% Number of atoms : 2398 ( 820 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 3448 (1246 ~; 682 |; 63 &;1391 @)
% ( 6 <=>; 60 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 792 ( 0 ^; 783 !; 9 ?; 792 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_cp1,type,
cp1: $i > $o ).
thf(tp_cp2,type,
cp2: $i > $o ).
thf(tp_i2003_11_14_17_19_17492,type,
i2003_11_14_17_19_17492: $i ).
thf(tp_rf1,type,
rf1: $i > $i > $o ).
thf(tp_rf2,type,
rf2: $i > $i > $o ).
thf(tp_rr,type,
rr: $i > $i > $o ).
thf(tp_sK1_SY53,type,
sK1_SY53: $i > $i ).
thf(tp_sK2_SY51,type,
sK2_SY51: $i > $i ).
thf(tp_sK3_SY52,type,
sK3_SY52: $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] :
( ( rr @ X @ Y )
=> ( rf2 @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( rr @ X @ Y )
=> ( rf1 @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(3,axiom,
cUnsatisfiable @ i2003_11_14_17_19_17492,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(4,axiom,
! [X: $i] :
( ( cowlThing @ X )
=> ! [Y0: $i,Y1: $i] :
( ( ( rf2 @ X @ Y0 )
& ( rf2 @ X @ Y1 ) )
=> ( Y0 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(5,axiom,
! [X: $i] :
( ( cowlThing @ X )
=> ! [Y0: $i,Y1: $i] :
( ( ( rf1 @ X @ Y0 )
& ( rf1 @ X @ Y1 ) )
=> ( Y0 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(6,axiom,
! [X: $i] :
( ( cp1 @ X )
=> ~ ( cp2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(7,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rf2 @ X @ Y )
& ( cp2 @ Y ) )
& ? [Y: $i] :
( ( rf1 @ X @ Y )
& ( cp1 @ Y ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cowlThing @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(8,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(9,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_2) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_1) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf2 @ C @ A ) )
=> ( rf2 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rf2_substitution_2) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf2 @ A @ C ) )
=> ( rf2 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rf2_substitution_1) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ C @ A ) )
=> ( rf1 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rf1_substitution_2) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ A @ C ) )
=> ( rf1 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rf1_substitution_1) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cp2 @ A ) )
=> ( cp2 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2_substitution_1) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cp1 @ A ) )
=> ( cp1 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1_substitution_1) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(23,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(24,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[23]) ).
thf(25,plain,
$false = $false,
inference(unfold_def,[status(thm)],[24]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ( rr @ X @ Y )
=> ( rf2 @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
( ( rr @ X @ Y )
=> ( rf1 @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(28,plain,
( ( cUnsatisfiable @ i2003_11_14_17_19_17492 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(29,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
=> ! [Y0: $i,Y1: $i] :
( ( ( rf2 @ X @ Y0 )
& ( rf2 @ X @ Y1 ) )
=> ( Y0 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(30,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
=> ! [Y0: $i,Y1: $i] :
( ( ( rf1 @ X @ Y0 )
& ( rf1 @ X @ Y1 ) )
=> ( Y0 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(31,plain,
( ( ! [X: $i] :
( ( cp1 @ X )
=> ~ ( cp2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(32,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rf2 @ X @ Y )
& ( cp2 @ Y ) )
& ? [Y: $i] :
( ( rf1 @ X @ Y )
& ( cp1 @ Y ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cowlThing @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(33,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(34,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(35,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(37,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(38,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(39,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf2 @ C @ A ) )
=> ( rf2 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(40,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf2 @ A @ C ) )
=> ( rf2 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(41,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ C @ A ) )
=> ( rf1 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(42,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ A @ C ) )
=> ( rf1 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp2 @ A ) )
=> ( cp2 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp1 @ A ) )
=> ( cp1 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(48,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[25]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(50,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp1 @ A ) )
=> ( cp1 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp2 @ A ) )
=> ( cp2 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(54,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ A @ C ) )
=> ( rf1 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(55,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ C @ A ) )
=> ( rf1 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(56,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf2 @ A @ C ) )
=> ( rf2 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(57,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf2 @ C @ A ) )
=> ( rf2 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(58,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(59,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(60,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(61,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(62,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(63,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(64,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rf2 @ X @ Y )
& ( cp2 @ Y ) )
& ? [Y: $i] :
( ( rf1 @ X @ Y )
& ( cp1 @ Y ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cowlThing @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(65,plain,
( ( ! [X: $i] :
( ( cp1 @ X )
=> ~ ( cp2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(66,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
=> ! [Y0: $i,Y1: $i] :
( ( ( rf1 @ X @ Y0 )
& ( rf1 @ X @ Y1 ) )
=> ( Y0 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(67,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
=> ! [Y0: $i,Y1: $i] :
( ( ( rf2 @ X @ Y0 )
& ( rf2 @ X @ Y1 ) )
=> ( Y0 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(68,plain,
( ( cUnsatisfiable @ i2003_11_14_17_19_17492 )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(69,plain,
( ( ! [X: $i,Y: $i] :
( ( rr @ X @ Y )
=> ( rf1 @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(70,plain,
( ( ! [X: $i,Y: $i] :
( ( rr @ X @ Y )
=> ( rf2 @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(71,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[48]) ).
thf(72,plain,
( ( ! [SX0: $i] :
( ~ ( cowlThing @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rf1 @ SX0 @ SX1 )
| ~ ( rf1 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(73,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rf2 @ SX0 @ SX1 )
| ~ ( cp2 @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rf1 @ SX0 @ SX1 )
| ~ ( cp1 @ SX1 ) ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rr @ SX0 @ SX1 )
| ~ ( cowlThing @ SX1 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rf2 @ SX0 @ SX1 )
| ~ ( cp2 @ SX1 ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rf1 @ SX0 @ SX1 )
| ~ ( cp1 @ SX1 ) ) )
| ~ ~ ! [SX1: $i] :
~ ~ ( ~ ( rr @ SX0 @ SX1 )
| ~ ( cowlThing @ SX1 ) ) )
| ( cUnsatisfiable @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(74,plain,
( ( ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cp2 @ SX0 ) )
| ( cp2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rr @ SX0 @ SX2 ) )
| ( rr @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(77,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( xsd_string @ SX0 ) )
| ( xsd_string @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(78,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rr @ SX2 @ SX0 ) )
| ( rr @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(79,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( xsd_integer @ SX0 ) )
| ( xsd_integer @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(80,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rf1 @ SX2 @ SX0 ) )
| ( rf1 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(81,plain,
( ( ! [SX0: $i] :
( ~ ( cowlThing @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rf2 @ SX0 @ SX1 )
| ~ ( rf2 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(82,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cowlThing @ SX0 ) )
| ( cowlThing @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(83,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(84,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rf2 @ SX2 @ SX0 ) )
| ( rf2 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(85,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ( rf2 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(86,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rf1 @ SX0 @ SX2 ) )
| ( rf1 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(87,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ( rf1 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(88,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rf2 @ SX0 @ SX2 ) )
| ( rf2 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(89,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(90,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cp1 @ SX0 ) )
| ( cp1 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(91,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cUnsatisfiable @ SX0 ) )
| ( cUnsatisfiable @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(92,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cowlNothing @ SX0 ) )
| ( cowlNothing @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(93,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(94,plain,
! [SV1: $i] :
( ( ~ ( cowlThing @ SV1 )
| ! [SY49: $i,SY50: $i] :
( ~ ~ ( ~ ( rf1 @ SV1 @ SY49 )
| ~ ( rf1 @ SV1 @ SY50 ) )
| ( SY49 = SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(95,plain,
! [SV2: $i] :
( ( ~ ( ~ ( ~ ( cUnsatisfiable @ SV2 )
| ~ ( ~ ~ ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) )
| ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
| ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY53 )
| ~ ( cowlThing @ SY53 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) )
| ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
| ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
| ( cUnsatisfiable @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(96,plain,
! [SV3: $i] :
( ( ~ ( cp1 @ SV3 )
| ~ ( cp2 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(97,plain,
! [SV4: $i] :
( ( ! [SY57: $i] :
( ~ ~ ( ( SV4 != SY57 )
| ~ ( cp2 @ SV4 ) )
| ( cp2 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(98,plain,
! [SV5: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ~ ~ ( ( SV5 != SY58 )
| ~ ( rr @ SV5 @ SY59 ) )
| ( rr @ SY58 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(99,plain,
! [SV6: $i] :
( ( ! [SY60: $i] :
( ~ ~ ( ( SV6 != SY60 )
| ~ ( xsd_string @ SV6 ) )
| ( xsd_string @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(100,plain,
! [SV7: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ~ ~ ( ( SV7 != SY61 )
| ~ ( rr @ SY62 @ SV7 ) )
| ( rr @ SY62 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(101,plain,
! [SV8: $i] :
( ( ! [SY63: $i] :
( ~ ~ ( ( SV8 != SY63 )
| ~ ( xsd_integer @ SV8 ) )
| ( xsd_integer @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(102,plain,
! [SV9: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ~ ~ ( ( SV9 != SY64 )
| ~ ( rf1 @ SY65 @ SV9 ) )
| ( rf1 @ SY65 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(103,plain,
! [SV10: $i] :
( ( ~ ( cowlThing @ SV10 )
| ! [SY66: $i,SY67: $i] :
( ~ ~ ( ~ ( rf2 @ SV10 @ SY66 )
| ~ ( rf2 @ SV10 @ SY67 ) )
| ( SY66 = SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(104,plain,
! [SV11: $i] :
( ( ! [SY68: $i] :
( ~ ~ ( ( SV11 != SY68 )
| ~ ( cowlThing @ SV11 ) )
| ( cowlThing @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(105,plain,
! [SV12: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV12 )
| ~ ( xsd_integer @ SV12 ) )
| ~ ( ~ ~ ( xsd_integer @ SV12 )
| ( xsd_string @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(106,plain,
! [SV13: $i] :
( ( ! [SY69: $i,SY70: $i] :
( ~ ~ ( ( SV13 != SY69 )
| ~ ( rf2 @ SY70 @ SV13 ) )
| ( rf2 @ SY70 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(107,plain,
! [SV14: $i] :
( ( ! [SY71: $i] :
( ~ ( rr @ SV14 @ SY71 )
| ( rf2 @ SV14 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(108,plain,
! [SV15: $i] :
( ( ! [SY72: $i,SY73: $i] :
( ~ ~ ( ( SV15 != SY72 )
| ~ ( rf1 @ SV15 @ SY73 ) )
| ( rf1 @ SY72 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(109,plain,
! [SV16: $i] :
( ( ! [SY74: $i] :
( ~ ( rr @ SV16 @ SY74 )
| ( rf1 @ SV16 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(110,plain,
! [SV17: $i] :
( ( ! [SY75: $i,SY76: $i] :
( ~ ~ ( ( SV17 != SY75 )
| ~ ( rf2 @ SV17 @ SY76 ) )
| ( rf2 @ SY75 @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(111,plain,
! [SV18: $i] :
( ( ~ ( ~ ( cowlThing @ SV18 )
| ~ ~ ( cowlNothing @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(112,plain,
! [SV19: $i] :
( ( ! [SY77: $i] :
( ~ ~ ( ( SV19 != SY77 )
| ~ ( cp1 @ SV19 ) )
| ( cp1 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(113,plain,
! [SV20: $i] :
( ( ! [SY78: $i] :
( ~ ~ ( ( SV20 != SY78 )
| ~ ( cUnsatisfiable @ SV20 ) )
| ( cUnsatisfiable @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(114,plain,
! [SV21: $i] :
( ( ! [SY79: $i] :
( ~ ~ ( ( SV21 != SY79 )
| ~ ( cowlNothing @ SV21 ) )
| ( cowlNothing @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(115,plain,
! [SV1: $i] :
( ( ( ~ ( cowlThing @ SV1 ) )
= $true )
| ( ( ! [SY49: $i,SY50: $i] :
( ~ ~ ( ~ ( rf1 @ SV1 @ SY49 )
| ~ ( rf1 @ SV1 @ SY50 ) )
| ( SY49 = SY50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(116,plain,
! [SV2: $i] :
( ( ~ ( ~ ( cUnsatisfiable @ SV2 )
| ~ ( ~ ~ ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) )
| ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
| ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY53 )
| ~ ( cowlThing @ SY53 ) ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) )
| ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
| ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
| ( cUnsatisfiable @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(117,plain,
! [SV3: $i] :
( ( ( ~ ( cp1 @ SV3 ) )
= $true )
| ( ( ~ ( cp2 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(118,plain,
! [SV22: $i,SV4: $i] :
( ( ~ ~ ( ( SV4 != SV22 )
| ~ ( cp2 @ SV4 ) )
| ( cp2 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(119,plain,
! [SV23: $i,SV5: $i] :
( ( ! [SY80: $i] :
( ~ ~ ( ( SV5 != SV23 )
| ~ ( rr @ SV5 @ SY80 ) )
| ( rr @ SV23 @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(120,plain,
! [SV24: $i,SV6: $i] :
( ( ~ ~ ( ( SV6 != SV24 )
| ~ ( xsd_string @ SV6 ) )
| ( xsd_string @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(121,plain,
! [SV25: $i,SV7: $i] :
( ( ! [SY81: $i] :
( ~ ~ ( ( SV7 != SV25 )
| ~ ( rr @ SY81 @ SV7 ) )
| ( rr @ SY81 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(122,plain,
! [SV26: $i,SV8: $i] :
( ( ~ ~ ( ( SV8 != SV26 )
| ~ ( xsd_integer @ SV8 ) )
| ( xsd_integer @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(123,plain,
! [SV27: $i,SV9: $i] :
( ( ! [SY82: $i] :
( ~ ~ ( ( SV9 != SV27 )
| ~ ( rf1 @ SY82 @ SV9 ) )
| ( rf1 @ SY82 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(124,plain,
! [SV10: $i] :
( ( ( ~ ( cowlThing @ SV10 ) )
= $true )
| ( ( ! [SY66: $i,SY67: $i] :
( ~ ~ ( ~ ( rf2 @ SV10 @ SY66 )
| ~ ( rf2 @ SV10 @ SY67 ) )
| ( SY66 = SY67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(125,plain,
! [SV28: $i,SV11: $i] :
( ( ~ ~ ( ( SV11 != SV28 )
| ~ ( cowlThing @ SV11 ) )
| ( cowlThing @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(126,plain,
! [SV12: $i] :
( ( ~ ( ~ ( xsd_string @ SV12 )
| ~ ( xsd_integer @ SV12 ) )
| ~ ( ~ ~ ( xsd_integer @ SV12 )
| ( xsd_string @ SV12 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(127,plain,
! [SV29: $i,SV13: $i] :
( ( ! [SY83: $i] :
( ~ ~ ( ( SV13 != SV29 )
| ~ ( rf2 @ SY83 @ SV13 ) )
| ( rf2 @ SY83 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(128,plain,
! [SV30: $i,SV14: $i] :
( ( ~ ( rr @ SV14 @ SV30 )
| ( rf2 @ SV14 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(129,plain,
! [SV31: $i,SV15: $i] :
( ( ! [SY84: $i] :
( ~ ~ ( ( SV15 != SV31 )
| ~ ( rf1 @ SV15 @ SY84 ) )
| ( rf1 @ SV31 @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(130,plain,
! [SV32: $i,SV16: $i] :
( ( ~ ( rr @ SV16 @ SV32 )
| ( rf1 @ SV16 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(131,plain,
! [SV33: $i,SV17: $i] :
( ( ! [SY85: $i] :
( ~ ~ ( ( SV17 != SV33 )
| ~ ( rf2 @ SV17 @ SY85 ) )
| ( rf2 @ SV33 @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(132,plain,
! [SV18: $i] :
( ( ~ ( cowlThing @ SV18 )
| ~ ~ ( cowlNothing @ SV18 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(133,plain,
! [SV34: $i,SV19: $i] :
( ( ~ ~ ( ( SV19 != SV34 )
| ~ ( cp1 @ SV19 ) )
| ( cp1 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(134,plain,
! [SV35: $i,SV20: $i] :
( ( ~ ~ ( ( SV20 != SV35 )
| ~ ( cUnsatisfiable @ SV20 ) )
| ( cUnsatisfiable @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(135,plain,
! [SV36: $i,SV21: $i] :
( ( ~ ~ ( ( SV21 != SV36 )
| ~ ( cowlNothing @ SV21 ) )
| ( cowlNothing @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(136,plain,
! [SV1: $i] :
( ( ( cowlThing @ SV1 )
= $false )
| ( ( ! [SY49: $i,SY50: $i] :
( ~ ~ ( ~ ( rf1 @ SV1 @ SY49 )
| ~ ( rf1 @ SV1 @ SY50 ) )
| ( SY49 = SY50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(137,plain,
! [SV2: $i] :
( ( ~ ( ~ ( cUnsatisfiable @ SV2 )
| ~ ( ~ ~ ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) )
| ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
| ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY53 )
| ~ ( cowlThing @ SY53 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(138,plain,
! [SV2: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) )
| ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
| ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
| ( cUnsatisfiable @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(139,plain,
! [SV3: $i] :
( ( ( cp1 @ SV3 )
= $false )
| ( ( ~ ( cp2 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(140,plain,
! [SV22: $i,SV4: $i] :
( ( ( ~ ~ ( ( SV4 != SV22 )
| ~ ( cp2 @ SV4 ) ) )
= $true )
| ( ( cp2 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(141,plain,
! [SV37: $i,SV23: $i,SV5: $i] :
( ( ~ ~ ( ( SV5 != SV23 )
| ~ ( rr @ SV5 @ SV37 ) )
| ( rr @ SV23 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(142,plain,
! [SV24: $i,SV6: $i] :
( ( ( ~ ~ ( ( SV6 != SV24 )
| ~ ( xsd_string @ SV6 ) ) )
= $true )
| ( ( xsd_string @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(143,plain,
! [SV38: $i,SV25: $i,SV7: $i] :
( ( ~ ~ ( ( SV7 != SV25 )
| ~ ( rr @ SV38 @ SV7 ) )
| ( rr @ SV38 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(144,plain,
! [SV26: $i,SV8: $i] :
( ( ( ~ ~ ( ( SV8 != SV26 )
| ~ ( xsd_integer @ SV8 ) ) )
= $true )
| ( ( xsd_integer @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(145,plain,
! [SV39: $i,SV27: $i,SV9: $i] :
( ( ~ ~ ( ( SV9 != SV27 )
| ~ ( rf1 @ SV39 @ SV9 ) )
| ( rf1 @ SV39 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(146,plain,
! [SV10: $i] :
( ( ( cowlThing @ SV10 )
= $false )
| ( ( ! [SY66: $i,SY67: $i] :
( ~ ~ ( ~ ( rf2 @ SV10 @ SY66 )
| ~ ( rf2 @ SV10 @ SY67 ) )
| ( SY66 = SY67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(147,plain,
! [SV28: $i,SV11: $i] :
( ( ( ~ ~ ( ( SV11 != SV28 )
| ~ ( cowlThing @ SV11 ) ) )
= $true )
| ( ( cowlThing @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(148,plain,
! [SV12: $i] :
( ( ~ ( ~ ( xsd_string @ SV12 )
| ~ ( xsd_integer @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(149,plain,
! [SV12: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV12 )
| ( xsd_string @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(150,plain,
! [SV40: $i,SV29: $i,SV13: $i] :
( ( ~ ~ ( ( SV13 != SV29 )
| ~ ( rf2 @ SV40 @ SV13 ) )
| ( rf2 @ SV40 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(151,plain,
! [SV30: $i,SV14: $i] :
( ( ( ~ ( rr @ SV14 @ SV30 ) )
= $true )
| ( ( rf2 @ SV14 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(152,plain,
! [SV41: $i,SV31: $i,SV15: $i] :
( ( ~ ~ ( ( SV15 != SV31 )
| ~ ( rf1 @ SV15 @ SV41 ) )
| ( rf1 @ SV31 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(153,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( rr @ SV16 @ SV32 ) )
= $true )
| ( ( rf1 @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(154,plain,
! [SV42: $i,SV33: $i,SV17: $i] :
( ( ~ ~ ( ( SV17 != SV33 )
| ~ ( rf2 @ SV17 @ SV42 ) )
| ( rf2 @ SV33 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(155,plain,
! [SV18: $i] :
( ( ~ ( cowlThing @ SV18 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(156,plain,
! [SV18: $i] :
( ( ~ ~ ( cowlNothing @ SV18 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(157,plain,
! [SV34: $i,SV19: $i] :
( ( ( ~ ~ ( ( SV19 != SV34 )
| ~ ( cp1 @ SV19 ) ) )
= $true )
| ( ( cp1 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(158,plain,
! [SV35: $i,SV20: $i] :
( ( ( ~ ~ ( ( SV20 != SV35 )
| ~ ( cUnsatisfiable @ SV20 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(159,plain,
! [SV36: $i,SV21: $i] :
( ( ( ~ ~ ( ( SV21 != SV36 )
| ~ ( cowlNothing @ SV21 ) ) )
= $true )
| ( ( cowlNothing @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(160,plain,
! [SV43: $i,SV1: $i] :
( ( ( ! [SY86: $i] :
( ~ ~ ( ~ ( rf1 @ SV1 @ SV43 )
| ~ ( rf1 @ SV1 @ SY86 ) )
| ( SV43 = SY86 ) ) )
= $true )
| ( ( cowlThing @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(161,plain,
! [SV2: $i] :
( ( ~ ( cUnsatisfiable @ SV2 )
| ~ ( ~ ~ ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) )
| ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
| ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY53 )
| ~ ( cowlThing @ SY53 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(162,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) )
| ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
| ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
| ( cUnsatisfiable @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(163,plain,
! [SV3: $i] :
( ( ( cp2 @ SV3 )
= $false )
| ( ( cp1 @ SV3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(164,plain,
! [SV22: $i,SV4: $i] :
( ( ( ~ ( ( SV4 != SV22 )
| ~ ( cp2 @ SV4 ) ) )
= $false )
| ( ( cp2 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(165,plain,
! [SV37: $i,SV23: $i,SV5: $i] :
( ( ( ~ ~ ( ( SV5 != SV23 )
| ~ ( rr @ SV5 @ SV37 ) ) )
= $true )
| ( ( rr @ SV23 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(166,plain,
! [SV24: $i,SV6: $i] :
( ( ( ~ ( ( SV6 != SV24 )
| ~ ( xsd_string @ SV6 ) ) )
= $false )
| ( ( xsd_string @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(167,plain,
! [SV38: $i,SV25: $i,SV7: $i] :
( ( ( ~ ~ ( ( SV7 != SV25 )
| ~ ( rr @ SV38 @ SV7 ) ) )
= $true )
| ( ( rr @ SV38 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(168,plain,
! [SV26: $i,SV8: $i] :
( ( ( ~ ( ( SV8 != SV26 )
| ~ ( xsd_integer @ SV8 ) ) )
= $false )
| ( ( xsd_integer @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(169,plain,
! [SV39: $i,SV27: $i,SV9: $i] :
( ( ( ~ ~ ( ( SV9 != SV27 )
| ~ ( rf1 @ SV39 @ SV9 ) ) )
= $true )
| ( ( rf1 @ SV39 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(170,plain,
! [SV44: $i,SV10: $i] :
( ( ( ! [SY87: $i] :
( ~ ~ ( ~ ( rf2 @ SV10 @ SV44 )
| ~ ( rf2 @ SV10 @ SY87 ) )
| ( SV44 = SY87 ) ) )
= $true )
| ( ( cowlThing @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(171,plain,
! [SV28: $i,SV11: $i] :
( ( ( ~ ( ( SV11 != SV28 )
| ~ ( cowlThing @ SV11 ) ) )
= $false )
| ( ( cowlThing @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(172,plain,
! [SV12: $i] :
( ( ~ ( xsd_string @ SV12 )
| ~ ( xsd_integer @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(173,plain,
! [SV12: $i] :
( ( ~ ~ ( xsd_integer @ SV12 )
| ( xsd_string @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(174,plain,
! [SV40: $i,SV29: $i,SV13: $i] :
( ( ( ~ ~ ( ( SV13 != SV29 )
| ~ ( rf2 @ SV40 @ SV13 ) ) )
= $true )
| ( ( rf2 @ SV40 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(175,plain,
! [SV30: $i,SV14: $i] :
( ( ( rr @ SV14 @ SV30 )
= $false )
| ( ( rf2 @ SV14 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(176,plain,
! [SV41: $i,SV31: $i,SV15: $i] :
( ( ( ~ ~ ( ( SV15 != SV31 )
| ~ ( rf1 @ SV15 @ SV41 ) ) )
= $true )
| ( ( rf1 @ SV31 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(177,plain,
! [SV32: $i,SV16: $i] :
( ( ( rr @ SV16 @ SV32 )
= $false )
| ( ( rf1 @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(178,plain,
! [SV42: $i,SV33: $i,SV17: $i] :
( ( ( ~ ~ ( ( SV17 != SV33 )
| ~ ( rf2 @ SV17 @ SV42 ) ) )
= $true )
| ( ( rf2 @ SV33 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(179,plain,
! [SV18: $i] :
( ( cowlThing @ SV18 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(180,plain,
! [SV18: $i] :
( ( ~ ( cowlNothing @ SV18 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(181,plain,
! [SV34: $i,SV19: $i] :
( ( ( ~ ( ( SV19 != SV34 )
| ~ ( cp1 @ SV19 ) ) )
= $false )
| ( ( cp1 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(182,plain,
! [SV35: $i,SV20: $i] :
( ( ( ~ ( ( SV20 != SV35 )
| ~ ( cUnsatisfiable @ SV20 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(183,plain,
! [SV36: $i,SV21: $i] :
( ( ( ~ ( ( SV21 != SV36 )
| ~ ( cowlNothing @ SV21 ) ) )
= $false )
| ( ( cowlNothing @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(184,plain,
! [SV45: $i,SV43: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( rf1 @ SV1 @ SV43 )
| ~ ( rf1 @ SV1 @ SV45 ) )
| ( SV43 = SV45 ) )
= $true )
| ( ( cowlThing @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(185,plain,
! [SV2: $i] :
( ( ( ~ ( cUnsatisfiable @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) )
| ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
| ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY53 )
| ~ ( cowlThing @ SY53 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(186,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) )
| ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
| ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(187,plain,
! [SV22: $i,SV4: $i] :
( ( ( ( SV4 != SV22 )
| ~ ( cp2 @ SV4 ) )
= $true )
| ( ( cp2 @ SV22 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(188,plain,
! [SV37: $i,SV23: $i,SV5: $i] :
( ( ( ~ ( ( SV5 != SV23 )
| ~ ( rr @ SV5 @ SV37 ) ) )
= $false )
| ( ( rr @ SV23 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(189,plain,
! [SV24: $i,SV6: $i] :
( ( ( ( SV6 != SV24 )
| ~ ( xsd_string @ SV6 ) )
= $true )
| ( ( xsd_string @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[166]) ).
thf(190,plain,
! [SV38: $i,SV25: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != SV25 )
| ~ ( rr @ SV38 @ SV7 ) ) )
= $false )
| ( ( rr @ SV38 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(191,plain,
! [SV26: $i,SV8: $i] :
( ( ( ( SV8 != SV26 )
| ~ ( xsd_integer @ SV8 ) )
= $true )
| ( ( xsd_integer @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(192,plain,
! [SV39: $i,SV27: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV27 )
| ~ ( rf1 @ SV39 @ SV9 ) ) )
= $false )
| ( ( rf1 @ SV39 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(193,plain,
! [SV46: $i,SV44: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( rf2 @ SV10 @ SV44 )
| ~ ( rf2 @ SV10 @ SV46 ) )
| ( SV44 = SV46 ) )
= $true )
| ( ( cowlThing @ SV10 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(194,plain,
! [SV28: $i,SV11: $i] :
( ( ( ( SV11 != SV28 )
| ~ ( cowlThing @ SV11 ) )
= $true )
| ( ( cowlThing @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(195,plain,
! [SV12: $i] :
( ( ( ~ ( xsd_string @ SV12 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(196,plain,
! [SV12: $i] :
( ( ( ~ ~ ( xsd_integer @ SV12 ) )
= $true )
| ( ( xsd_string @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(197,plain,
! [SV40: $i,SV29: $i,SV13: $i] :
( ( ( ~ ( ( SV13 != SV29 )
| ~ ( rf2 @ SV40 @ SV13 ) ) )
= $false )
| ( ( rf2 @ SV40 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(198,plain,
! [SV41: $i,SV31: $i,SV15: $i] :
( ( ( ~ ( ( SV15 != SV31 )
| ~ ( rf1 @ SV15 @ SV41 ) ) )
= $false )
| ( ( rf1 @ SV31 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(199,plain,
! [SV42: $i,SV33: $i,SV17: $i] :
( ( ( ~ ( ( SV17 != SV33 )
| ~ ( rf2 @ SV17 @ SV42 ) ) )
= $false )
| ( ( rf2 @ SV33 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(200,plain,
! [SV18: $i] :
( ( cowlNothing @ SV18 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(201,plain,
! [SV34: $i,SV19: $i] :
( ( ( ( SV19 != SV34 )
| ~ ( cp1 @ SV19 ) )
= $true )
| ( ( cp1 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(202,plain,
! [SV35: $i,SV20: $i] :
( ( ( ( SV20 != SV35 )
| ~ ( cUnsatisfiable @ SV20 ) )
= $true )
| ( ( cUnsatisfiable @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(203,plain,
! [SV36: $i,SV21: $i] :
( ( ( ( SV21 != SV36 )
| ~ ( cowlNothing @ SV21 ) )
= $true )
| ( ( cowlNothing @ SV36 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(204,plain,
! [SV45: $i,SV43: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( rf1 @ SV1 @ SV43 )
| ~ ( rf1 @ SV1 @ SV45 ) ) )
= $true )
| ( ( SV43 = SV45 )
= $true )
| ( ( cowlThing @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(205,plain,
! [SV2: $i] :
( ( ( cUnsatisfiable @ SV2 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) )
| ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
| ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY53 )
| ~ ( cowlThing @ SY53 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(206,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) )
| ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
| ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(207,plain,
! [SV22: $i,SV4: $i] :
( ( ( SV4 != SV22 )
= $true )
| ( ( ~ ( cp2 @ SV4 ) )
= $true )
| ( ( cp2 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(208,plain,
! [SV37: $i,SV23: $i,SV5: $i] :
( ( ( ( SV5 != SV23 )
| ~ ( rr @ SV5 @ SV37 ) )
= $true )
| ( ( rr @ SV23 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(209,plain,
! [SV24: $i,SV6: $i] :
( ( ( SV6 != SV24 )
= $true )
| ( ( ~ ( xsd_string @ SV6 ) )
= $true )
| ( ( xsd_string @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(210,plain,
! [SV38: $i,SV25: $i,SV7: $i] :
( ( ( ( SV7 != SV25 )
| ~ ( rr @ SV38 @ SV7 ) )
= $true )
| ( ( rr @ SV38 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(211,plain,
! [SV26: $i,SV8: $i] :
( ( ( SV8 != SV26 )
= $true )
| ( ( ~ ( xsd_integer @ SV8 ) )
= $true )
| ( ( xsd_integer @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(212,plain,
! [SV39: $i,SV27: $i,SV9: $i] :
( ( ( ( SV9 != SV27 )
| ~ ( rf1 @ SV39 @ SV9 ) )
= $true )
| ( ( rf1 @ SV39 @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(213,plain,
! [SV46: $i,SV44: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( rf2 @ SV10 @ SV44 )
| ~ ( rf2 @ SV10 @ SV46 ) ) )
= $true )
| ( ( SV44 = SV46 )
= $true )
| ( ( cowlThing @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(214,plain,
! [SV28: $i,SV11: $i] :
( ( ( SV11 != SV28 )
= $true )
| ( ( ~ ( cowlThing @ SV11 ) )
= $true )
| ( ( cowlThing @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(215,plain,
! [SV12: $i] :
( ( ( xsd_string @ SV12 )
= $false )
| ( ( ~ ( xsd_integer @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(216,plain,
! [SV12: $i] :
( ( ( ~ ( xsd_integer @ SV12 ) )
= $false )
| ( ( xsd_string @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(217,plain,
! [SV40: $i,SV29: $i,SV13: $i] :
( ( ( ( SV13 != SV29 )
| ~ ( rf2 @ SV40 @ SV13 ) )
= $true )
| ( ( rf2 @ SV40 @ SV29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(218,plain,
! [SV41: $i,SV31: $i,SV15: $i] :
( ( ( ( SV15 != SV31 )
| ~ ( rf1 @ SV15 @ SV41 ) )
= $true )
| ( ( rf1 @ SV31 @ SV41 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(219,plain,
! [SV42: $i,SV33: $i,SV17: $i] :
( ( ( ( SV17 != SV33 )
| ~ ( rf2 @ SV17 @ SV42 ) )
= $true )
| ( ( rf2 @ SV33 @ SV42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(220,plain,
! [SV34: $i,SV19: $i] :
( ( ( SV19 != SV34 )
= $true )
| ( ( ~ ( cp1 @ SV19 ) )
= $true )
| ( ( cp1 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(221,plain,
! [SV35: $i,SV20: $i] :
( ( ( SV20 != SV35 )
= $true )
| ( ( ~ ( cUnsatisfiable @ SV20 ) )
= $true )
| ( ( cUnsatisfiable @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(222,plain,
! [SV36: $i,SV21: $i] :
( ( ( SV21 != SV36 )
= $true )
| ( ( ~ ( cowlNothing @ SV21 ) )
= $true )
| ( ( cowlNothing @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(223,plain,
! [SV45: $i,SV43: $i,SV1: $i] :
( ( ( ~ ( ~ ( rf1 @ SV1 @ SV43 )
| ~ ( rf1 @ SV1 @ SV45 ) ) )
= $false )
| ( ( SV43 = SV45 )
= $true )
| ( ( cowlThing @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(224,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) )
| ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
| ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY53 )
| ~ ( cowlThing @ SY53 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(225,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) )
| ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
| ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(226,plain,
! [SV22: $i,SV4: $i] :
( ( ( SV4 = SV22 )
= $false )
| ( ( ~ ( cp2 @ SV4 ) )
= $true )
| ( ( cp2 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(227,plain,
! [SV37: $i,SV23: $i,SV5: $i] :
( ( ( SV5 != SV23 )
= $true )
| ( ( ~ ( rr @ SV5 @ SV37 ) )
= $true )
| ( ( rr @ SV23 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(228,plain,
! [SV24: $i,SV6: $i] :
( ( ( SV6 = SV24 )
= $false )
| ( ( ~ ( xsd_string @ SV6 ) )
= $true )
| ( ( xsd_string @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(229,plain,
! [SV38: $i,SV25: $i,SV7: $i] :
( ( ( SV7 != SV25 )
= $true )
| ( ( ~ ( rr @ SV38 @ SV7 ) )
= $true )
| ( ( rr @ SV38 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(230,plain,
! [SV26: $i,SV8: $i] :
( ( ( SV8 = SV26 )
= $false )
| ( ( ~ ( xsd_integer @ SV8 ) )
= $true )
| ( ( xsd_integer @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(231,plain,
! [SV39: $i,SV27: $i,SV9: $i] :
( ( ( SV9 != SV27 )
= $true )
| ( ( ~ ( rf1 @ SV39 @ SV9 ) )
= $true )
| ( ( rf1 @ SV39 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(232,plain,
! [SV46: $i,SV44: $i,SV10: $i] :
( ( ( ~ ( ~ ( rf2 @ SV10 @ SV44 )
| ~ ( rf2 @ SV10 @ SV46 ) ) )
= $false )
| ( ( SV44 = SV46 )
= $true )
| ( ( cowlThing @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(233,plain,
! [SV28: $i,SV11: $i] :
( ( ( SV11 = SV28 )
= $false )
| ( ( ~ ( cowlThing @ SV11 ) )
= $true )
| ( ( cowlThing @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(234,plain,
! [SV12: $i] :
( ( ( xsd_integer @ SV12 )
= $false )
| ( ( xsd_string @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(235,plain,
! [SV12: $i] :
( ( ( xsd_integer @ SV12 )
= $true )
| ( ( xsd_string @ SV12 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(236,plain,
! [SV40: $i,SV29: $i,SV13: $i] :
( ( ( SV13 != SV29 )
= $true )
| ( ( ~ ( rf2 @ SV40 @ SV13 ) )
= $true )
| ( ( rf2 @ SV40 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(237,plain,
! [SV41: $i,SV31: $i,SV15: $i] :
( ( ( SV15 != SV31 )
= $true )
| ( ( ~ ( rf1 @ SV15 @ SV41 ) )
= $true )
| ( ( rf1 @ SV31 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(238,plain,
! [SV42: $i,SV33: $i,SV17: $i] :
( ( ( SV17 != SV33 )
= $true )
| ( ( ~ ( rf2 @ SV17 @ SV42 ) )
= $true )
| ( ( rf2 @ SV33 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(239,plain,
! [SV34: $i,SV19: $i] :
( ( ( SV19 = SV34 )
= $false )
| ( ( ~ ( cp1 @ SV19 ) )
= $true )
| ( ( cp1 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(240,plain,
! [SV35: $i,SV20: $i] :
( ( ( SV20 = SV35 )
= $false )
| ( ( ~ ( cUnsatisfiable @ SV20 ) )
= $true )
| ( ( cUnsatisfiable @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(241,plain,
! [SV36: $i,SV21: $i] :
( ( ( SV21 = SV36 )
= $false )
| ( ( ~ ( cowlNothing @ SV21 ) )
= $true )
| ( ( cowlNothing @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(242,plain,
! [SV45: $i,SV43: $i,SV1: $i] :
( ( ( ~ ( rf1 @ SV1 @ SV43 )
| ~ ( rf1 @ SV1 @ SV45 ) )
= $true )
| ( ( SV43 = SV45 )
= $true )
| ( ( cowlThing @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(243,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) )
| ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(244,plain,
! [SV2: $i] :
( ( ( ~ ~ ! [SY53: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY53 )
| ~ ( cowlThing @ SY53 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(245,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) )
| ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(246,plain,
! [SV22: $i,SV4: $i] :
( ( ( cp2 @ SV4 )
= $false )
| ( ( SV4 = SV22 )
= $false )
| ( ( cp2 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(247,plain,
! [SV37: $i,SV23: $i,SV5: $i] :
( ( ( SV5 = SV23 )
= $false )
| ( ( ~ ( rr @ SV5 @ SV37 ) )
= $true )
| ( ( rr @ SV23 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(248,plain,
! [SV24: $i,SV6: $i] :
( ( ( xsd_string @ SV6 )
= $false )
| ( ( SV6 = SV24 )
= $false )
| ( ( xsd_string @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(249,plain,
! [SV38: $i,SV25: $i,SV7: $i] :
( ( ( SV7 = SV25 )
= $false )
| ( ( ~ ( rr @ SV38 @ SV7 ) )
= $true )
| ( ( rr @ SV38 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(250,plain,
! [SV26: $i,SV8: $i] :
( ( ( xsd_integer @ SV8 )
= $false )
| ( ( SV8 = SV26 )
= $false )
| ( ( xsd_integer @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(251,plain,
! [SV39: $i,SV27: $i,SV9: $i] :
( ( ( SV9 = SV27 )
= $false )
| ( ( ~ ( rf1 @ SV39 @ SV9 ) )
= $true )
| ( ( rf1 @ SV39 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(252,plain,
! [SV46: $i,SV44: $i,SV10: $i] :
( ( ( ~ ( rf2 @ SV10 @ SV44 )
| ~ ( rf2 @ SV10 @ SV46 ) )
= $true )
| ( ( SV44 = SV46 )
= $true )
| ( ( cowlThing @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(253,plain,
! [SV28: $i,SV11: $i] :
( ( ( cowlThing @ SV11 )
= $false )
| ( ( SV11 = SV28 )
= $false )
| ( ( cowlThing @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(254,plain,
! [SV40: $i,SV29: $i,SV13: $i] :
( ( ( SV13 = SV29 )
= $false )
| ( ( ~ ( rf2 @ SV40 @ SV13 ) )
= $true )
| ( ( rf2 @ SV40 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(255,plain,
! [SV41: $i,SV31: $i,SV15: $i] :
( ( ( SV15 = SV31 )
= $false )
| ( ( ~ ( rf1 @ SV15 @ SV41 ) )
= $true )
| ( ( rf1 @ SV31 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(256,plain,
! [SV42: $i,SV33: $i,SV17: $i] :
( ( ( SV17 = SV33 )
= $false )
| ( ( ~ ( rf2 @ SV17 @ SV42 ) )
= $true )
| ( ( rf2 @ SV33 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(257,plain,
! [SV34: $i,SV19: $i] :
( ( ( cp1 @ SV19 )
= $false )
| ( ( SV19 = SV34 )
= $false )
| ( ( cp1 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(258,plain,
! [SV35: $i,SV20: $i] :
( ( ( cUnsatisfiable @ SV20 )
= $false )
| ( ( SV20 = SV35 )
= $false )
| ( ( cUnsatisfiable @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(259,plain,
! [SV36: $i,SV21: $i] :
( ( ( cowlNothing @ SV21 )
= $false )
| ( ( SV21 = SV36 )
= $false )
| ( ( cowlNothing @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(260,plain,
! [SV45: $i,SV43: $i,SV1: $i] :
( ( ( ~ ( rf1 @ SV1 @ SV43 ) )
= $true )
| ( ( ~ ( rf1 @ SV1 @ SV45 ) )
= $true )
| ( ( SV43 = SV45 )
= $true )
| ( ( cowlThing @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(261,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) )
| ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(262,plain,
! [SV2: $i] :
( ( ( ~ ! [SY53: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY53 )
| ~ ( cowlThing @ SY53 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(263,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) )
| ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) ) )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(264,plain,
! [SV23: $i,SV37: $i,SV5: $i] :
( ( ( rr @ SV5 @ SV37 )
= $false )
| ( ( SV5 = SV23 )
= $false )
| ( ( rr @ SV23 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(265,plain,
! [SV25: $i,SV7: $i,SV38: $i] :
( ( ( rr @ SV38 @ SV7 )
= $false )
| ( ( SV7 = SV25 )
= $false )
| ( ( rr @ SV38 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(266,plain,
! [SV27: $i,SV9: $i,SV39: $i] :
( ( ( rf1 @ SV39 @ SV9 )
= $false )
| ( ( SV9 = SV27 )
= $false )
| ( ( rf1 @ SV39 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(267,plain,
! [SV46: $i,SV44: $i,SV10: $i] :
( ( ( ~ ( rf2 @ SV10 @ SV44 ) )
= $true )
| ( ( ~ ( rf2 @ SV10 @ SV46 ) )
= $true )
| ( ( SV44 = SV46 )
= $true )
| ( ( cowlThing @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(268,plain,
! [SV29: $i,SV13: $i,SV40: $i] :
( ( ( rf2 @ SV40 @ SV13 )
= $false )
| ( ( SV13 = SV29 )
= $false )
| ( ( rf2 @ SV40 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(269,plain,
! [SV31: $i,SV41: $i,SV15: $i] :
( ( ( rf1 @ SV15 @ SV41 )
= $false )
| ( ( SV15 = SV31 )
= $false )
| ( ( rf1 @ SV31 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(270,plain,
! [SV33: $i,SV42: $i,SV17: $i] :
( ( ( rf2 @ SV17 @ SV42 )
= $false )
| ( ( SV17 = SV33 )
= $false )
| ( ( rf2 @ SV33 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(271,plain,
! [SV45: $i,SV43: $i,SV1: $i] :
( ( ( rf1 @ SV1 @ SV43 )
= $false )
| ( ( ~ ( rf1 @ SV1 @ SV45 ) )
= $true )
| ( ( SV43 = SV45 )
= $true )
| ( ( cowlThing @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(272,plain,
! [SV2: $i] :
( ( ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) )
| ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(273,plain,
! [SV2: $i] :
( ( ( ! [SY53: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY53 )
| ~ ( cowlThing @ SY53 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(274,plain,
! [SV2: $i] :
( ( ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) )
| ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(275,plain,
! [SV46: $i,SV44: $i,SV10: $i] :
( ( ( rf2 @ SV10 @ SV44 )
= $false )
| ( ( ~ ( rf2 @ SV10 @ SV46 ) )
= $true )
| ( ( SV44 = SV46 )
= $true )
| ( ( cowlThing @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(276,plain,
! [SV43: $i,SV45: $i,SV1: $i] :
( ( ( rf1 @ SV1 @ SV45 )
= $false )
| ( ( rf1 @ SV1 @ SV43 )
= $false )
| ( ( SV43 = SV45 )
= $true )
| ( ( cowlThing @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(277,plain,
! [SV2: $i] :
( ( ( ~ ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(278,plain,
! [SV2: $i] :
( ( ( ~ ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(279,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV2 @ ( sK1_SY53 @ SV2 ) )
| ~ ( cowlThing @ ( sK1_SY53 @ SV2 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[273]) ).
thf(280,plain,
! [SV2: $i] :
( ( ( ~ ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) ) )
= $true )
| ( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(281,plain,
! [SV44: $i,SV46: $i,SV10: $i] :
( ( ( rf2 @ SV10 @ SV46 )
= $false )
| ( ( rf2 @ SV10 @ SV44 )
= $false )
| ( ( SV44 = SV46 )
= $true )
| ( ( cowlThing @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(282,plain,
! [SV2: $i] :
( ( ( ~ ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(283,plain,
! [SV2: $i] :
( ( ( ~ ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(284,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( rr @ SV2 @ ( sK1_SY53 @ SV2 ) )
| ~ ( cowlThing @ ( sK1_SY53 @ SV2 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(285,plain,
! [SV2: $i] :
( ( ( ~ ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) ) )
= $false )
| ( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(286,plain,
! [SV2: $i] :
( ( ( ! [SY51: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY51 )
| ~ ( cp2 @ SY51 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(287,plain,
! [SV2: $i] :
( ( ( ! [SY52: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY52 )
| ~ ( cp1 @ SY52 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(288,plain,
! [SV2: $i] :
( ( ( ~ ( rr @ SV2 @ ( sK1_SY53 @ SV2 ) )
| ~ ( cowlThing @ ( sK1_SY53 @ SV2 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(289,plain,
! [SV2: $i] :
( ( ( ! [SY54: $i] :
~ ~ ( ~ ( rf2 @ SV2 @ SY54 )
| ~ ( cp2 @ SY54 ) ) )
= $true )
| ( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(290,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( rf2 @ SV2 @ ( sK2_SY51 @ SV2 ) )
| ~ ( cp2 @ ( sK2_SY51 @ SV2 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[286]) ).
thf(291,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( rf1 @ SV2 @ ( sK3_SY52 @ SV2 ) )
| ~ ( cp1 @ ( sK3_SY52 @ SV2 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[287]) ).
thf(292,plain,
! [SV2: $i] :
( ( ( ~ ( rr @ SV2 @ ( sK1_SY53 @ SV2 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(293,plain,
! [SV2: $i] :
( ( ( ~ ( cowlThing @ ( sK1_SY53 @ SV2 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(294,plain,
! [SV47: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( rf2 @ SV2 @ SV47 )
| ~ ( cp2 @ SV47 ) ) )
= $true )
| ( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(295,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( rf2 @ SV2 @ ( sK2_SY51 @ SV2 ) )
| ~ ( cp2 @ ( sK2_SY51 @ SV2 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(296,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( rf1 @ SV2 @ ( sK3_SY52 @ SV2 ) )
| ~ ( cp1 @ ( sK3_SY52 @ SV2 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(297,plain,
! [SV2: $i] :
( ( ( rr @ SV2 @ ( sK1_SY53 @ SV2 ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(298,plain,
! [SV2: $i] :
( ( ( cowlThing @ ( sK1_SY53 @ SV2 ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(299,plain,
! [SV47: $i,SV2: $i] :
( ( ( ~ ( ~ ( rf2 @ SV2 @ SV47 )
| ~ ( cp2 @ SV47 ) ) )
= $false )
| ( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(300,plain,
! [SV2: $i] :
( ( ( ~ ( rf2 @ SV2 @ ( sK2_SY51 @ SV2 ) )
| ~ ( cp2 @ ( sK2_SY51 @ SV2 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(301,plain,
! [SV2: $i] :
( ( ( ~ ( rf1 @ SV2 @ ( sK3_SY52 @ SV2 ) )
| ~ ( cp1 @ ( sK3_SY52 @ SV2 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(302,plain,
! [SV47: $i,SV2: $i] :
( ( ( ~ ( rf2 @ SV2 @ SV47 )
| ~ ( cp2 @ SV47 ) )
= $true )
| ( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(303,plain,
! [SV2: $i] :
( ( ( ~ ( rf2 @ SV2 @ ( sK2_SY51 @ SV2 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(304,plain,
! [SV2: $i] :
( ( ( ~ ( cp2 @ ( sK2_SY51 @ SV2 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(305,plain,
! [SV2: $i] :
( ( ( ~ ( rf1 @ SV2 @ ( sK3_SY52 @ SV2 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(306,plain,
! [SV2: $i] :
( ( ( ~ ( cp1 @ ( sK3_SY52 @ SV2 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[301]) ).
thf(307,plain,
! [SV47: $i,SV2: $i] :
( ( ( ~ ( rf2 @ SV2 @ SV47 ) )
= $true )
| ( ( ~ ( cp2 @ SV47 ) )
= $true )
| ( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(308,plain,
! [SV2: $i] :
( ( ( rf2 @ SV2 @ ( sK2_SY51 @ SV2 ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(309,plain,
! [SV2: $i] :
( ( ( cp2 @ ( sK2_SY51 @ SV2 ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(310,plain,
! [SV2: $i] :
( ( ( rf1 @ SV2 @ ( sK3_SY52 @ SV2 ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(311,plain,
! [SV2: $i] :
( ( ( cp1 @ ( sK3_SY52 @ SV2 ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(312,plain,
! [SV47: $i,SV2: $i] :
( ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( ~ ( cp2 @ SV47 ) )
= $true )
| ( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(313,plain,
! [SV2: $i,SV47: $i] :
( ( ( cp2 @ SV47 )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( ~ ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(314,plain,
! [SV47: $i,SV2: $i] :
( ( ( ~ ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(315,plain,
! [SV47: $i,SV2: $i] :
( ( ( ! [SY55: $i] :
~ ~ ( ~ ( rf1 @ SV2 @ SY55 )
| ~ ( cp1 @ SY55 ) ) )
= $true )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(316,plain,
! [SV47: $i,SV48: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( rf1 @ SV2 @ SV48 )
| ~ ( cp1 @ SV48 ) ) )
= $true )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(317,plain,
! [SV47: $i,SV48: $i,SV2: $i] :
( ( ( ~ ( ~ ( rf1 @ SV2 @ SV48 )
| ~ ( cp1 @ SV48 ) ) )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(318,plain,
! [SV47: $i,SV48: $i,SV2: $i] :
( ( ( ~ ( rf1 @ SV2 @ SV48 )
| ~ ( cp1 @ SV48 ) )
= $true )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(319,plain,
! [SV47: $i,SV48: $i,SV2: $i] :
( ( ( ~ ( rf1 @ SV2 @ SV48 ) )
= $true )
| ( ( ~ ( cp1 @ SV48 ) )
= $true )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(320,plain,
! [SV47: $i,SV48: $i,SV2: $i] :
( ( ( rf1 @ SV2 @ SV48 )
= $false )
| ( ( ~ ( cp1 @ SV48 ) )
= $true )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(321,plain,
! [SV47: $i,SV2: $i,SV48: $i] :
( ( ( cp1 @ SV48 )
= $false )
| ( ( rf1 @ SV2 @ SV48 )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( ~ ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(322,plain,
! [SV48: $i,SV47: $i,SV2: $i] :
( ( ( ~ ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( rf1 @ SV2 @ SV48 )
= $false )
| ( ( cp1 @ SV48 )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(323,plain,
! [SV48: $i,SV47: $i,SV2: $i] :
( ( ( ! [SY56: $i] :
~ ~ ( ~ ( rr @ SV2 @ SY56 )
| ~ ( cowlThing @ SY56 ) ) )
= $true )
| ( ( cp2 @ SV47 )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( rf1 @ SV2 @ SV48 )
= $false )
| ( ( cp1 @ SV48 )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(324,plain,
! [SV48: $i,SV47: $i,SV49: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV2 @ SV49 )
| ~ ( cowlThing @ SV49 ) ) )
= $true )
| ( ( cp2 @ SV47 )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( rf1 @ SV2 @ SV48 )
= $false )
| ( ( cp1 @ SV48 )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(325,plain,
! [SV48: $i,SV47: $i,SV49: $i,SV2: $i] :
( ( ( ~ ( ~ ( rr @ SV2 @ SV49 )
| ~ ( cowlThing @ SV49 ) ) )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( rf1 @ SV2 @ SV48 )
= $false )
| ( ( cp1 @ SV48 )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(326,plain,
! [SV48: $i,SV47: $i,SV49: $i,SV2: $i] :
( ( ( ~ ( rr @ SV2 @ SV49 )
| ~ ( cowlThing @ SV49 ) )
= $true )
| ( ( cp2 @ SV47 )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( rf1 @ SV2 @ SV48 )
= $false )
| ( ( cp1 @ SV48 )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(327,plain,
! [SV48: $i,SV47: $i,SV49: $i,SV2: $i] :
( ( ( ~ ( rr @ SV2 @ SV49 ) )
= $true )
| ( ( ~ ( cowlThing @ SV49 ) )
= $true )
| ( ( cp2 @ SV47 )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( rf1 @ SV2 @ SV48 )
= $false )
| ( ( cp1 @ SV48 )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(328,plain,
! [SV48: $i,SV47: $i,SV49: $i,SV2: $i] :
( ( ( rr @ SV2 @ SV49 )
= $false )
| ( ( ~ ( cowlThing @ SV49 ) )
= $true )
| ( ( cp2 @ SV47 )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( rf1 @ SV2 @ SV48 )
= $false )
| ( ( cp1 @ SV48 )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(329,plain,
! [SV48: $i,SV47: $i,SV2: $i,SV49: $i] :
( ( ( cowlThing @ SV49 )
= $false )
| ( ( rr @ SV2 @ SV49 )
= $false )
| ( ( cp2 @ SV47 )
= $false )
| ( ( rf2 @ SV2 @ SV47 )
= $false )
| ( ( rf1 @ SV2 @ SV48 )
= $false )
| ( ( cp1 @ SV48 )
= $false )
| ( ( cUnsatisfiable @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(330,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[68,329,311,310,309,308,298,297,281,276,270,269,268,266,265,264,259,258,257,253,250,248,246,235,234,200,179,177,175,163,93]) ).
thf(331,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS079+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.15 % Computer : n005.cluster.edu
% 0.10/0.15 % Model : x86_64 x86_64
% 0.10/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15 % Memory : 8046.5625MB
% 0.10/0.15 % OS : Linux 6.8.0-71-generic
% 0.10/0.15 % CPULimit : 300
% 0.10/0.15 % WCLimit : 300
% 0.10/0.15 % DateTime : Tue Oct 6 11:41:14 UTC 2026
% 0.10/0.15 % CPUTime :
% 0.10/0.15 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.27
% 0.10/0.27 No.of.Axioms: 22
% 0.10/0.27
% 0.10/0.27 Length.of.Defs: 0
% 0.10/0.27
% 0.10/0.27 Contains.Choice.Funs: false
% 0.10/0.27 .........
% 0.10/0.27
% 0.10/0.27 ********************************
% 0.10/0.27 * All subproblems solved! *
% 0.10/0.27 ********************************
% 0.10/0.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:22,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:330,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.27
% 0.10/0.27 %**** Beginning of derivation protocol ****
% 0.10/0.27 % SZS output start CNFRefutation
% See solution above
% 0.10/0.27
% 0.10/0.27 %**** End of derivation protocol ****
% 0.10/0.27 %**** no. of clauses in derivation: 331 ****
% 0.10/0.27 %**** clause counter: 330 ****
% 0.10/0.27
% 0.10/0.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:22,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:330,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------