%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS097+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 : n010.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 10:26:19 AM UTC 2026
% Result : Unsatisfiable 0.67s 0.40s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 40
% Syntax : Number of formulae : 490 ( 263 unt; 0 typ; 0 def)
% Number of atoms : 3363 (1163 equ; 0 cnn)
% Maximal formula atoms : 9 ( 6 avg)
% Number of connectives : 4468 (1028 ~;1011 |; 96 &;2265 @)
% ( 6 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 23 usr; 3 con; 0-2 aty)
% Number of variables : 1194 ( 0 ^;1184 !; 10 ?;1194 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
thf(tp_ca,type,
ca: $i > $o ).
thf(tp_cc,type,
cc: $i > $o ).
thf(tp_cd,type,
cd: $i > $o ).
thf(tp_ce,type,
ce: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_i2003_11_14_17_20_21603,type,
i2003_11_14_17_20_21603: $i ).
thf(tp_rr,type,
rr: $i > $i > $o ).
thf(tp_rr1,type,
rr1: $i > $i > $o ).
thf(tp_rr2,type,
rr2: $i > $i > $o ).
thf(tp_rr3,type,
rr3: $i > $i > $o ).
thf(tp_rt1,type,
rt1: $i > $i > $o ).
thf(tp_rt2,type,
rt2: $i > $i > $o ).
thf(tp_rt3,type,
rt3: $i > $i > $o ).
thf(tp_rtt,type,
rtt: $i > $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i ).
thf(tp_sK3_Y0,type,
sK3_Y0: $i > $i ).
thf(tp_sK4_Y0,type,
sK4_Y0: $i > $i ).
thf(tp_sK5_SY90,type,
sK5_SY90: $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] :
( ( rt2 @ X @ Y )
=> ( rtt @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( rr2 @ X @ Y )
=> ( rr @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( rt1 @ X @ Y )
=> ( rtt @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( rr3 @ X @ Y )
=> ( rr @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( rr1 @ X @ Y )
=> ( rr @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( rt3 @ X @ Y )
=> ( rtt @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(7,axiom,
! [X: $i] :
~ ( ( ce @ X )
& ( cc @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(8,axiom,
! [X: $i] :
~ ( ( cd @ X )
& ( cc @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(9,axiom,
! [X: $i] :
~ ( ( cd @ X )
& ( ce @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(10,axiom,
cUnsatisfiable @ i2003_11_14_17_20_21603,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(11,axiom,
! [X: $i] :
( ( ca @ X )
<=> ( ( cd @ X )
| ( cc @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(12,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y0: $i] : ( rr @ X @ Y0 )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cd @ Y ) )
& ~ ? [Y0: $i,Y1: $i] :
( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 )
& ( Y0 != Y1 ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cc @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(13,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(14,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(15,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(16,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(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rtt @ C @ A ) )
=> ( rtt @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rtt_substitution_2) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rtt @ A @ C ) )
=> ( rtt @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rtt_substitution_1) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt3 @ C @ A ) )
=> ( rt3 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt3_substitution_2) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt3 @ A @ C ) )
=> ( rt3 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt3_substitution_1) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt2 @ C @ A ) )
=> ( rt2 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt2_substitution_2) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt2 @ A @ C ) )
=> ( rt2 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt2_substitution_1) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt1 @ C @ A ) )
=> ( rt1 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt1_substitution_2) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt1 @ A @ C ) )
=> ( rt1 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rt1_substitution_1) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr3 @ C @ A ) )
=> ( rr3 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr3_substitution_2) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr3 @ A @ C ) )
=> ( rr3 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr3_substitution_1) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr2 @ C @ A ) )
=> ( rr2 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr2_substitution_2) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr2 @ A @ C ) )
=> ( rr2 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr2_substitution_1) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr1 @ C @ A ) )
=> ( rr1 @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr1_substitution_2) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr1 @ A @ C ) )
=> ( rr1 @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr1_substitution_1) ).
thf(31,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(32,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(33,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( ce @ A ) )
=> ( ce @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ce_substitution_1) ).
thf(36,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cd @ A ) )
=> ( cd @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cd_substitution_1) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_substitution_1) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( ca @ A ) )
=> ( ca @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ca_substitution_1) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(40,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(41,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[40]) ).
thf(42,plain,
$false = $false,
inference(unfold_def,[status(thm)],[41]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i] :
( ( rt2 @ X @ Y )
=> ( rtt @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i] :
( ( rr2 @ X @ Y )
=> ( rr @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(45,plain,
( ( ! [X: $i,Y: $i] :
( ( rt1 @ X @ Y )
=> ( rtt @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i] :
( ( rr3 @ X @ Y )
=> ( rr @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i] :
( ( rr1 @ X @ Y )
=> ( rr @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i] :
( ( rt3 @ X @ Y )
=> ( rtt @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(49,plain,
( ( ! [X: $i] :
~ ( ( ce @ X )
& ( cc @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(50,plain,
( ( ! [X: $i] :
~ ( ( cd @ X )
& ( cc @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(51,plain,
( ( ! [X: $i] :
~ ( ( cd @ X )
& ( ce @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(52,plain,
( ( cUnsatisfiable @ i2003_11_14_17_20_21603 )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(53,plain,
( ( ! [X: $i] :
( ( ca @ X )
<=> ( ( cd @ X )
| ( cc @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(54,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y0: $i] : ( rr @ X @ Y0 )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cd @ Y ) )
& ~ ? [Y0: $i,Y1: $i] :
( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 )
& ( Y0 != Y1 ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cc @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(55,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(56,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(57,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(59,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rtt @ C @ A ) )
=> ( rtt @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(60,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rtt @ A @ C ) )
=> ( rtt @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(61,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt3 @ C @ A ) )
=> ( rt3 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(62,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt3 @ A @ C ) )
=> ( rt3 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(63,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt2 @ C @ A ) )
=> ( rt2 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(64,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt2 @ A @ C ) )
=> ( rt2 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(65,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt1 @ C @ A ) )
=> ( rt1 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(66,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rt1 @ A @ C ) )
=> ( rt1 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(67,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr3 @ C @ A ) )
=> ( rr3 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(68,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr3 @ A @ C ) )
=> ( rr3 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(69,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr2 @ C @ A ) )
=> ( rr2 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(70,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr2 @ A @ C ) )
=> ( rr2 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(71,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr1 @ C @ A ) )
=> ( rr1 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(72,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr1 @ A @ C ) )
=> ( rr1 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(73,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(74,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( ce @ A ) )
=> ( ce @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cd @ A ) )
=> ( cd @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( ca @ A ) )
=> ( ca @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(82,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[42]) ).
thf(83,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rt2 @ X @ Y )
| ( rtt @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(84,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rr2 @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(85,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rt1 @ X @ Y )
| ( rtt @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(86,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rr3 @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(87,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rr1 @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(88,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rt3 @ X @ Y )
| ( rtt @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(89,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ~ ( ce @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(90,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ~ ( cd @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(91,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ~ ( ce @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(92,plain,
( ( ! [X: $i] :
( ~ ( ca @ X )
| ( cc @ X )
| ( cd @ X ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ( ca @ X ) )
& ! [X: $i] :
( ~ ( cd @ X )
| ( ca @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(93,plain,
( ( ! [X: $i] :
( ! [Y0: $i] :
~ ( rr @ X @ Y0 )
| ! [Y: $i] :
( ~ ( cd @ Y )
| ~ ( rr @ X @ Y ) )
| ( ( ( sK4_Y0 @ X )
!= ( sK5_SY90 @ X ) )
& ( rr @ X @ ( sK4_Y0 @ X ) )
& ( rr @ X @ ( sK5_SY90 @ X ) ) )
| ! [Y: $i] :
( ~ ( cc @ Y )
| ~ ( rr @ X @ Y ) )
| ( cUnsatisfiable @ X ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( rr @ X @ ( sK3_Y0 @ X ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cd @ ( sK2_Y @ X ) )
& ( rr @ X @ ( sK2_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ! [Y0: $i,Y1: $i] :
( ( Y0 = Y1 )
| ~ ( rr @ X @ Y0 )
| ~ ( rr @ X @ Y1 ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cc @ ( sK1_Y @ X ) )
& ( rr @ X @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(94,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(95,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(96,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(97,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(98,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rtt @ C @ A )
| ( rtt @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(99,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rtt @ A @ C )
| ( rtt @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(100,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt3 @ C @ A )
| ( rt3 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(101,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt3 @ A @ C )
| ( rt3 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(102,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt2 @ C @ A )
| ( rt2 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(103,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt2 @ A @ C )
| ( rt2 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(104,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt1 @ C @ A )
| ( rt1 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(105,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt1 @ A @ C )
| ( rt1 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(106,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr3 @ C @ A )
| ( rr3 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(107,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr3 @ A @ C )
| ( rr3 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(108,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr2 @ C @ A )
| ( rr2 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(109,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr2 @ A @ C )
| ( rr2 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(110,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr1 @ C @ A )
| ( rr1 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(111,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr1 @ A @ C )
| ( rr1 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(112,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(113,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(114,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(115,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(116,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( ce @ A )
| ( ce @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(117,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(118,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(119,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( ca @ A )
| ( ca @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(120,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cUnsatisfiable @ A )
| ( cUnsatisfiable @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(121,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cUnsatisfiable @ A )
| ( cUnsatisfiable @ B ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(122,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( ca @ A )
| ( ca @ B ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(123,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(124,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(125,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( ce @ A )
| ( ce @ B ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(126,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(127,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(128,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(129,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(130,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr1 @ A @ C )
| ( rr1 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(131,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr1 @ C @ A )
| ( rr1 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(132,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr2 @ A @ C )
| ( rr2 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(133,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr2 @ C @ A )
| ( rr2 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(134,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr3 @ A @ C )
| ( rr3 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(135,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr3 @ C @ A )
| ( rr3 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(136,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt1 @ A @ C )
| ( rt1 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(137,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt1 @ C @ A )
| ( rt1 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(138,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt2 @ A @ C )
| ( rt2 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(139,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt2 @ C @ A )
| ( rt2 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(140,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt3 @ A @ C )
| ( rt3 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(141,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rt3 @ C @ A )
| ( rt3 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(142,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rtt @ A @ C )
| ( rtt @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(143,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rtt @ C @ A )
| ( rtt @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(144,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(145,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(146,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(147,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(148,plain,
( ( ! [X: $i] :
( ! [Y0: $i] :
~ ( rr @ X @ Y0 )
| ! [Y: $i] :
( ~ ( cd @ Y )
| ~ ( rr @ X @ Y ) )
| ( ( ( sK4_Y0 @ X )
!= ( sK5_SY90 @ X ) )
& ( rr @ X @ ( sK4_Y0 @ X ) )
& ( rr @ X @ ( sK5_SY90 @ X ) ) )
| ! [Y: $i] :
( ~ ( cc @ Y )
| ~ ( rr @ X @ Y ) )
| ( cUnsatisfiable @ X ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( rr @ X @ ( sK3_Y0 @ X ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cd @ ( sK2_Y @ X ) )
& ( rr @ X @ ( sK2_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ! [Y0: $i,Y1: $i] :
( ( Y0 = Y1 )
| ~ ( rr @ X @ Y0 )
| ~ ( rr @ X @ Y1 ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cc @ ( sK1_Y @ X ) )
& ( rr @ X @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(149,plain,
( ( ! [X: $i] :
( ~ ( ca @ X )
| ( cc @ X )
| ( cd @ X ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ( ca @ X ) )
& ! [X: $i] :
( ~ ( cd @ X )
| ( ca @ X ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(150,plain,
( ( cUnsatisfiable @ i2003_11_14_17_20_21603 )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(151,plain,
( ( ! [X: $i] :
( ~ ( cd @ X )
| ~ ( ce @ X ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(152,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ~ ( cd @ X ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(153,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ~ ( ce @ X ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(154,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rt3 @ X @ Y )
| ( rtt @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(155,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rr1 @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(156,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rr3 @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(157,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rt1 @ X @ Y )
| ( rtt @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(158,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rr2 @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(159,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rt2 @ X @ Y )
| ( rtt @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(160,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[82]) ).
thf(161,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ca @ SX0 )
| ( cc @ SX0 )
| ( cd @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ( ca @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( ca @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(162,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(163,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(164,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( rr @ SX0 @ SX1 )
| ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ~ ( ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK5_SY90 @ SX0 ) ) )
| ~ ~ ( ~ ( rr @ SX0 @ ( sK4_Y0 @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK5_SY90 @ SX0 ) ) ) )
| ! [SX1: $i] :
( ~ ( cc @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( SX1 = SX2 )
| ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(165,plain,
! [SV1: $i] :
( ( ! [SY91: $i] :
( ( SV1 != SY91 )
| ~ ( cUnsatisfiable @ SV1 )
| ( cUnsatisfiable @ SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(166,plain,
! [SV2: $i] :
( ( ! [SY92: $i] :
( ( SV2 != SY92 )
| ~ ( ca @ SV2 )
| ( ca @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(167,plain,
! [SV3: $i] :
( ( ! [SY93: $i] :
( ( SV3 != SY93 )
| ~ ( cc @ SV3 )
| ( cc @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(168,plain,
! [SV4: $i] :
( ( ! [SY94: $i] :
( ( SV4 != SY94 )
| ~ ( cd @ SV4 )
| ( cd @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(169,plain,
! [SV5: $i] :
( ( ! [SY95: $i] :
( ( SV5 != SY95 )
| ~ ( ce @ SV5 )
| ( ce @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(170,plain,
! [SV6: $i] :
( ( ! [SY96: $i] :
( ( SV6 != SY96 )
| ~ ( cowlNothing @ SV6 )
| ( cowlNothing @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(171,plain,
! [SV7: $i] :
( ( ! [SY97: $i] :
( ( SV7 != SY97 )
| ~ ( cowlThing @ SV7 )
| ( cowlThing @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(172,plain,
! [SV8: $i] :
( ( ! [SY98: $i,SY99: $i] :
( ( SV8 != SY98 )
| ~ ( rr @ SV8 @ SY99 )
| ( rr @ SY98 @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(173,plain,
! [SV9: $i] :
( ( ! [SY100: $i,SY101: $i] :
( ( SV9 != SY100 )
| ~ ( rr @ SY101 @ SV9 )
| ( rr @ SY101 @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(174,plain,
! [SV10: $i] :
( ( ! [SY102: $i,SY103: $i] :
( ( SV10 != SY102 )
| ~ ( rr1 @ SV10 @ SY103 )
| ( rr1 @ SY102 @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(175,plain,
! [SV11: $i] :
( ( ! [SY104: $i,SY105: $i] :
( ( SV11 != SY104 )
| ~ ( rr1 @ SY105 @ SV11 )
| ( rr1 @ SY105 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(176,plain,
! [SV12: $i] :
( ( ! [SY106: $i,SY107: $i] :
( ( SV12 != SY106 )
| ~ ( rr2 @ SV12 @ SY107 )
| ( rr2 @ SY106 @ SY107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(177,plain,
! [SV13: $i] :
( ( ! [SY108: $i,SY109: $i] :
( ( SV13 != SY108 )
| ~ ( rr2 @ SY109 @ SV13 )
| ( rr2 @ SY109 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(178,plain,
! [SV14: $i] :
( ( ! [SY110: $i,SY111: $i] :
( ( SV14 != SY110 )
| ~ ( rr3 @ SV14 @ SY111 )
| ( rr3 @ SY110 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(179,plain,
! [SV15: $i] :
( ( ! [SY112: $i,SY113: $i] :
( ( SV15 != SY112 )
| ~ ( rr3 @ SY113 @ SV15 )
| ( rr3 @ SY113 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(180,plain,
! [SV16: $i] :
( ( ! [SY114: $i,SY115: $i] :
( ( SV16 != SY114 )
| ~ ( rt1 @ SV16 @ SY115 )
| ( rt1 @ SY114 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(181,plain,
! [SV17: $i] :
( ( ! [SY116: $i,SY117: $i] :
( ( SV17 != SY116 )
| ~ ( rt1 @ SY117 @ SV17 )
| ( rt1 @ SY117 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(182,plain,
! [SV18: $i] :
( ( ! [SY118: $i,SY119: $i] :
( ( SV18 != SY118 )
| ~ ( rt2 @ SV18 @ SY119 )
| ( rt2 @ SY118 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(183,plain,
! [SV19: $i] :
( ( ! [SY120: $i,SY121: $i] :
( ( SV19 != SY120 )
| ~ ( rt2 @ SY121 @ SV19 )
| ( rt2 @ SY121 @ SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(184,plain,
! [SV20: $i] :
( ( ! [SY122: $i,SY123: $i] :
( ( SV20 != SY122 )
| ~ ( rt3 @ SV20 @ SY123 )
| ( rt3 @ SY122 @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(185,plain,
! [SV21: $i] :
( ( ! [SY124: $i,SY125: $i] :
( ( SV21 != SY124 )
| ~ ( rt3 @ SY125 @ SV21 )
| ( rt3 @ SY125 @ SY124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(186,plain,
! [SV22: $i] :
( ( ! [SY126: $i,SY127: $i] :
( ( SV22 != SY126 )
| ~ ( rtt @ SV22 @ SY127 )
| ( rtt @ SY126 @ SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(187,plain,
! [SV23: $i] :
( ( ! [SY128: $i,SY129: $i] :
( ( SV23 != SY128 )
| ~ ( rtt @ SY129 @ SV23 )
| ( rtt @ SY129 @ SY128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(188,plain,
! [SV24: $i] :
( ( ! [SY130: $i] :
( ( SV24 != SY130 )
| ~ ( xsd_integer @ SV24 )
| ( xsd_integer @ SY130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(189,plain,
! [SV25: $i] :
( ( ! [SY131: $i] :
( ( SV25 != SY131 )
| ~ ( xsd_string @ SV25 )
| ( xsd_string @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(190,plain,
! [SV26: $i] :
( ( ~ ( cd @ SV26 )
| ~ ( ce @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(191,plain,
! [SV27: $i] :
( ( ~ ( cc @ SV27 )
| ~ ( cd @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(192,plain,
! [SV28: $i] :
( ( ~ ( cc @ SV28 )
| ~ ( ce @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(193,plain,
! [SV29: $i] :
( ( ! [SY132: $i] :
( ~ ( rt3 @ SV29 @ SY132 )
| ( rtt @ SV29 @ SY132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(194,plain,
! [SV30: $i] :
( ( ! [SY133: $i] :
( ~ ( rr1 @ SV30 @ SY133 )
| ( rr @ SV30 @ SY133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(195,plain,
! [SV31: $i] :
( ( ! [SY134: $i] :
( ~ ( rr3 @ SV31 @ SY134 )
| ( rr @ SV31 @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(196,plain,
! [SV32: $i] :
( ( ! [SY135: $i] :
( ~ ( rt1 @ SV32 @ SY135 )
| ( rtt @ SV32 @ SY135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(197,plain,
! [SV33: $i] :
( ( ! [SY136: $i] :
( ~ ( rr2 @ SV33 @ SY136 )
| ( rr @ SV33 @ SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(198,plain,
! [SV34: $i] :
( ( ! [SY137: $i] :
( ~ ( rt2 @ SV34 @ SY137 )
| ( rtt @ SV34 @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(199,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(200,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ca @ SX0 )
| ( cc @ SX0 )
| ( cd @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ( ca @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( ca @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(201,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(202,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(203,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( rr @ SX0 @ SX1 )
| ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ~ ( ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK5_SY90 @ SX0 ) ) )
| ~ ~ ( ~ ( rr @ SX0 @ ( sK4_Y0 @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK5_SY90 @ SX0 ) ) ) )
| ! [SX1: $i] :
( ~ ( cc @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( SX1 = SX2 )
| ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[164]) ).
thf(204,plain,
! [SV35: $i,SV1: $i] :
( ( ( SV1 != SV35 )
| ~ ( cUnsatisfiable @ SV1 )
| ( cUnsatisfiable @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(205,plain,
! [SV36: $i,SV2: $i] :
( ( ( SV2 != SV36 )
| ~ ( ca @ SV2 )
| ( ca @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(206,plain,
! [SV37: $i,SV3: $i] :
( ( ( SV3 != SV37 )
| ~ ( cc @ SV3 )
| ( cc @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(207,plain,
! [SV38: $i,SV4: $i] :
( ( ( SV4 != SV38 )
| ~ ( cd @ SV4 )
| ( cd @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(208,plain,
! [SV39: $i,SV5: $i] :
( ( ( SV5 != SV39 )
| ~ ( ce @ SV5 )
| ( ce @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(209,plain,
! [SV40: $i,SV6: $i] :
( ( ( SV6 != SV40 )
| ~ ( cowlNothing @ SV6 )
| ( cowlNothing @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(210,plain,
! [SV41: $i,SV7: $i] :
( ( ( SV7 != SV41 )
| ~ ( cowlThing @ SV7 )
| ( cowlThing @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(211,plain,
! [SV42: $i,SV8: $i] :
( ( ! [SY138: $i] :
( ( SV8 != SV42 )
| ~ ( rr @ SV8 @ SY138 )
| ( rr @ SV42 @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(212,plain,
! [SV43: $i,SV9: $i] :
( ( ! [SY139: $i] :
( ( SV9 != SV43 )
| ~ ( rr @ SY139 @ SV9 )
| ( rr @ SY139 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(213,plain,
! [SV44: $i,SV10: $i] :
( ( ! [SY140: $i] :
( ( SV10 != SV44 )
| ~ ( rr1 @ SV10 @ SY140 )
| ( rr1 @ SV44 @ SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(214,plain,
! [SV45: $i,SV11: $i] :
( ( ! [SY141: $i] :
( ( SV11 != SV45 )
| ~ ( rr1 @ SY141 @ SV11 )
| ( rr1 @ SY141 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(215,plain,
! [SV46: $i,SV12: $i] :
( ( ! [SY142: $i] :
( ( SV12 != SV46 )
| ~ ( rr2 @ SV12 @ SY142 )
| ( rr2 @ SV46 @ SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(216,plain,
! [SV47: $i,SV13: $i] :
( ( ! [SY143: $i] :
( ( SV13 != SV47 )
| ~ ( rr2 @ SY143 @ SV13 )
| ( rr2 @ SY143 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(217,plain,
! [SV48: $i,SV14: $i] :
( ( ! [SY144: $i] :
( ( SV14 != SV48 )
| ~ ( rr3 @ SV14 @ SY144 )
| ( rr3 @ SV48 @ SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(218,plain,
! [SV49: $i,SV15: $i] :
( ( ! [SY145: $i] :
( ( SV15 != SV49 )
| ~ ( rr3 @ SY145 @ SV15 )
| ( rr3 @ SY145 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(219,plain,
! [SV50: $i,SV16: $i] :
( ( ! [SY146: $i] :
( ( SV16 != SV50 )
| ~ ( rt1 @ SV16 @ SY146 )
| ( rt1 @ SV50 @ SY146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(220,plain,
! [SV51: $i,SV17: $i] :
( ( ! [SY147: $i] :
( ( SV17 != SV51 )
| ~ ( rt1 @ SY147 @ SV17 )
| ( rt1 @ SY147 @ SV51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(221,plain,
! [SV52: $i,SV18: $i] :
( ( ! [SY148: $i] :
( ( SV18 != SV52 )
| ~ ( rt2 @ SV18 @ SY148 )
| ( rt2 @ SV52 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(222,plain,
! [SV53: $i,SV19: $i] :
( ( ! [SY149: $i] :
( ( SV19 != SV53 )
| ~ ( rt2 @ SY149 @ SV19 )
| ( rt2 @ SY149 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(223,plain,
! [SV54: $i,SV20: $i] :
( ( ! [SY150: $i] :
( ( SV20 != SV54 )
| ~ ( rt3 @ SV20 @ SY150 )
| ( rt3 @ SV54 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(224,plain,
! [SV55: $i,SV21: $i] :
( ( ! [SY151: $i] :
( ( SV21 != SV55 )
| ~ ( rt3 @ SY151 @ SV21 )
| ( rt3 @ SY151 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(225,plain,
! [SV56: $i,SV22: $i] :
( ( ! [SY152: $i] :
( ( SV22 != SV56 )
| ~ ( rtt @ SV22 @ SY152 )
| ( rtt @ SV56 @ SY152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(226,plain,
! [SV57: $i,SV23: $i] :
( ( ! [SY153: $i] :
( ( SV23 != SV57 )
| ~ ( rtt @ SY153 @ SV23 )
| ( rtt @ SY153 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(227,plain,
! [SV58: $i,SV24: $i] :
( ( ( SV24 != SV58 )
| ~ ( xsd_integer @ SV24 )
| ( xsd_integer @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(228,plain,
! [SV59: $i,SV25: $i] :
( ( ( SV25 != SV59 )
| ~ ( xsd_string @ SV25 )
| ( xsd_string @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(229,plain,
! [SV26: $i] :
( ( ( ~ ( cd @ SV26 ) )
= $true )
| ( ( ~ ( ce @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(230,plain,
! [SV27: $i] :
( ( ( ~ ( cc @ SV27 ) )
= $true )
| ( ( ~ ( cd @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(231,plain,
! [SV28: $i] :
( ( ( ~ ( cc @ SV28 ) )
= $true )
| ( ( ~ ( ce @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(232,plain,
! [SV60: $i,SV29: $i] :
( ( ~ ( rt3 @ SV29 @ SV60 )
| ( rtt @ SV29 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(233,plain,
! [SV61: $i,SV30: $i] :
( ( ~ ( rr1 @ SV30 @ SV61 )
| ( rr @ SV30 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(234,plain,
! [SV62: $i,SV31: $i] :
( ( ~ ( rr3 @ SV31 @ SV62 )
| ( rr @ SV31 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(235,plain,
! [SV63: $i,SV32: $i] :
( ( ~ ( rt1 @ SV32 @ SV63 )
| ( rtt @ SV32 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(236,plain,
! [SV64: $i,SV33: $i] :
( ( ~ ( rr2 @ SV33 @ SV64 )
| ( rr @ SV33 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(237,plain,
! [SV65: $i,SV34: $i] :
( ( ~ ( rt2 @ SV34 @ SV65 )
| ( rtt @ SV34 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(238,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ca @ SX0 )
| ( cc @ SX0 )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(239,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ( ca @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( ca @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[200]) ).
thf(240,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(241,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(242,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(243,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[202]) ).
thf(244,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( rr @ SX0 @ SX1 )
| ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ~ ( ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK5_SY90 @ SX0 ) ) )
| ~ ~ ( ~ ( rr @ SX0 @ ( sK4_Y0 @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK5_SY90 @ SX0 ) ) ) )
| ! [SX1: $i] :
( ~ ( cc @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(245,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( SX1 = SX2 )
| ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(246,plain,
! [SV35: $i,SV1: $i] :
( ( ( ( SV1 != SV35 )
| ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(247,plain,
! [SV36: $i,SV2: $i] :
( ( ( ( SV2 != SV36 )
| ~ ( ca @ SV2 ) )
= $true )
| ( ( ca @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(248,plain,
! [SV37: $i,SV3: $i] :
( ( ( ( SV3 != SV37 )
| ~ ( cc @ SV3 ) )
= $true )
| ( ( cc @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(249,plain,
! [SV38: $i,SV4: $i] :
( ( ( ( SV4 != SV38 )
| ~ ( cd @ SV4 ) )
= $true )
| ( ( cd @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(250,plain,
! [SV39: $i,SV5: $i] :
( ( ( ( SV5 != SV39 )
| ~ ( ce @ SV5 ) )
= $true )
| ( ( ce @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(251,plain,
! [SV40: $i,SV6: $i] :
( ( ( ( SV6 != SV40 )
| ~ ( cowlNothing @ SV6 ) )
= $true )
| ( ( cowlNothing @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(252,plain,
! [SV41: $i,SV7: $i] :
( ( ( ( SV7 != SV41 )
| ~ ( cowlThing @ SV7 ) )
= $true )
| ( ( cowlThing @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(253,plain,
! [SV66: $i,SV42: $i,SV8: $i] :
( ( ( SV8 != SV42 )
| ~ ( rr @ SV8 @ SV66 )
| ( rr @ SV42 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(254,plain,
! [SV67: $i,SV43: $i,SV9: $i] :
( ( ( SV9 != SV43 )
| ~ ( rr @ SV67 @ SV9 )
| ( rr @ SV67 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(255,plain,
! [SV68: $i,SV44: $i,SV10: $i] :
( ( ( SV10 != SV44 )
| ~ ( rr1 @ SV10 @ SV68 )
| ( rr1 @ SV44 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(256,plain,
! [SV69: $i,SV45: $i,SV11: $i] :
( ( ( SV11 != SV45 )
| ~ ( rr1 @ SV69 @ SV11 )
| ( rr1 @ SV69 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(257,plain,
! [SV70: $i,SV46: $i,SV12: $i] :
( ( ( SV12 != SV46 )
| ~ ( rr2 @ SV12 @ SV70 )
| ( rr2 @ SV46 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(258,plain,
! [SV71: $i,SV47: $i,SV13: $i] :
( ( ( SV13 != SV47 )
| ~ ( rr2 @ SV71 @ SV13 )
| ( rr2 @ SV71 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(259,plain,
! [SV72: $i,SV48: $i,SV14: $i] :
( ( ( SV14 != SV48 )
| ~ ( rr3 @ SV14 @ SV72 )
| ( rr3 @ SV48 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(260,plain,
! [SV73: $i,SV49: $i,SV15: $i] :
( ( ( SV15 != SV49 )
| ~ ( rr3 @ SV73 @ SV15 )
| ( rr3 @ SV73 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(261,plain,
! [SV74: $i,SV50: $i,SV16: $i] :
( ( ( SV16 != SV50 )
| ~ ( rt1 @ SV16 @ SV74 )
| ( rt1 @ SV50 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(262,plain,
! [SV75: $i,SV51: $i,SV17: $i] :
( ( ( SV17 != SV51 )
| ~ ( rt1 @ SV75 @ SV17 )
| ( rt1 @ SV75 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(263,plain,
! [SV76: $i,SV52: $i,SV18: $i] :
( ( ( SV18 != SV52 )
| ~ ( rt2 @ SV18 @ SV76 )
| ( rt2 @ SV52 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(264,plain,
! [SV77: $i,SV53: $i,SV19: $i] :
( ( ( SV19 != SV53 )
| ~ ( rt2 @ SV77 @ SV19 )
| ( rt2 @ SV77 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(265,plain,
! [SV78: $i,SV54: $i,SV20: $i] :
( ( ( SV20 != SV54 )
| ~ ( rt3 @ SV20 @ SV78 )
| ( rt3 @ SV54 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(266,plain,
! [SV79: $i,SV55: $i,SV21: $i] :
( ( ( SV21 != SV55 )
| ~ ( rt3 @ SV79 @ SV21 )
| ( rt3 @ SV79 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(267,plain,
! [SV80: $i,SV56: $i,SV22: $i] :
( ( ( SV22 != SV56 )
| ~ ( rtt @ SV22 @ SV80 )
| ( rtt @ SV56 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(268,plain,
! [SV81: $i,SV57: $i,SV23: $i] :
( ( ( SV23 != SV57 )
| ~ ( rtt @ SV81 @ SV23 )
| ( rtt @ SV81 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(269,plain,
! [SV58: $i,SV24: $i] :
( ( ( ( SV24 != SV58 )
| ~ ( xsd_integer @ SV24 ) )
= $true )
| ( ( xsd_integer @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(270,plain,
! [SV59: $i,SV25: $i] :
( ( ( ( SV25 != SV59 )
| ~ ( xsd_string @ SV25 ) )
= $true )
| ( ( xsd_string @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(271,plain,
! [SV26: $i] :
( ( ( cd @ SV26 )
= $false )
| ( ( ~ ( ce @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(272,plain,
! [SV27: $i] :
( ( ( cc @ SV27 )
= $false )
| ( ( ~ ( cd @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(273,plain,
! [SV28: $i] :
( ( ( cc @ SV28 )
= $false )
| ( ( ~ ( ce @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(274,plain,
! [SV60: $i,SV29: $i] :
( ( ( ~ ( rt3 @ SV29 @ SV60 ) )
= $true )
| ( ( rtt @ SV29 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(275,plain,
! [SV61: $i,SV30: $i] :
( ( ( ~ ( rr1 @ SV30 @ SV61 ) )
= $true )
| ( ( rr @ SV30 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(276,plain,
! [SV62: $i,SV31: $i] :
( ( ( ~ ( rr3 @ SV31 @ SV62 ) )
= $true )
| ( ( rr @ SV31 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(277,plain,
! [SV63: $i,SV32: $i] :
( ( ( ~ ( rt1 @ SV32 @ SV63 ) )
= $true )
| ( ( rtt @ SV32 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(278,plain,
! [SV64: $i,SV33: $i] :
( ( ( ~ ( rr2 @ SV33 @ SV64 ) )
= $true )
| ( ( rr @ SV33 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(279,plain,
! [SV65: $i,SV34: $i] :
( ( ( ~ ( rt2 @ SV34 @ SV65 ) )
= $true )
| ( ( rtt @ SV34 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(280,plain,
( ( ! [SX0: $i] :
( ~ ( ca @ SX0 )
| ( cc @ SX0 )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(281,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ( ca @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( ca @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(282,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(283,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(284,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(285,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(286,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( rr @ SX0 @ SX1 )
| ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ~ ( ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK5_SY90 @ SX0 ) ) )
| ~ ~ ( ~ ( rr @ SX0 @ ( sK4_Y0 @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK5_SY90 @ SX0 ) ) ) )
| ! [SX1: $i] :
( ~ ( cc @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(287,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( SX1 = SX2 )
| ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(288,plain,
! [SV35: $i,SV1: $i] :
( ( ( SV1 != SV35 )
= $true )
| ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(289,plain,
! [SV36: $i,SV2: $i] :
( ( ( SV2 != SV36 )
= $true )
| ( ( ~ ( ca @ SV2 ) )
= $true )
| ( ( ca @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(290,plain,
! [SV37: $i,SV3: $i] :
( ( ( SV3 != SV37 )
= $true )
| ( ( ~ ( cc @ SV3 ) )
= $true )
| ( ( cc @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(291,plain,
! [SV38: $i,SV4: $i] :
( ( ( SV4 != SV38 )
= $true )
| ( ( ~ ( cd @ SV4 ) )
= $true )
| ( ( cd @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(292,plain,
! [SV39: $i,SV5: $i] :
( ( ( SV5 != SV39 )
= $true )
| ( ( ~ ( ce @ SV5 ) )
= $true )
| ( ( ce @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(293,plain,
! [SV40: $i,SV6: $i] :
( ( ( SV6 != SV40 )
= $true )
| ( ( ~ ( cowlNothing @ SV6 ) )
= $true )
| ( ( cowlNothing @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(294,plain,
! [SV41: $i,SV7: $i] :
( ( ( SV7 != SV41 )
= $true )
| ( ( ~ ( cowlThing @ SV7 ) )
= $true )
| ( ( cowlThing @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(295,plain,
! [SV66: $i,SV42: $i,SV8: $i] :
( ( ( ( SV8 != SV42 )
| ~ ( rr @ SV8 @ SV66 ) )
= $true )
| ( ( rr @ SV42 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(296,plain,
! [SV67: $i,SV43: $i,SV9: $i] :
( ( ( ( SV9 != SV43 )
| ~ ( rr @ SV67 @ SV9 ) )
= $true )
| ( ( rr @ SV67 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(297,plain,
! [SV68: $i,SV44: $i,SV10: $i] :
( ( ( ( SV10 != SV44 )
| ~ ( rr1 @ SV10 @ SV68 ) )
= $true )
| ( ( rr1 @ SV44 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(298,plain,
! [SV69: $i,SV45: $i,SV11: $i] :
( ( ( ( SV11 != SV45 )
| ~ ( rr1 @ SV69 @ SV11 ) )
= $true )
| ( ( rr1 @ SV69 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(299,plain,
! [SV70: $i,SV46: $i,SV12: $i] :
( ( ( ( SV12 != SV46 )
| ~ ( rr2 @ SV12 @ SV70 ) )
= $true )
| ( ( rr2 @ SV46 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(300,plain,
! [SV71: $i,SV47: $i,SV13: $i] :
( ( ( ( SV13 != SV47 )
| ~ ( rr2 @ SV71 @ SV13 ) )
= $true )
| ( ( rr2 @ SV71 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(301,plain,
! [SV72: $i,SV48: $i,SV14: $i] :
( ( ( ( SV14 != SV48 )
| ~ ( rr3 @ SV14 @ SV72 ) )
= $true )
| ( ( rr3 @ SV48 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(302,plain,
! [SV73: $i,SV49: $i,SV15: $i] :
( ( ( ( SV15 != SV49 )
| ~ ( rr3 @ SV73 @ SV15 ) )
= $true )
| ( ( rr3 @ SV73 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(303,plain,
! [SV74: $i,SV50: $i,SV16: $i] :
( ( ( ( SV16 != SV50 )
| ~ ( rt1 @ SV16 @ SV74 ) )
= $true )
| ( ( rt1 @ SV50 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(304,plain,
! [SV75: $i,SV51: $i,SV17: $i] :
( ( ( ( SV17 != SV51 )
| ~ ( rt1 @ SV75 @ SV17 ) )
= $true )
| ( ( rt1 @ SV75 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(305,plain,
! [SV76: $i,SV52: $i,SV18: $i] :
( ( ( ( SV18 != SV52 )
| ~ ( rt2 @ SV18 @ SV76 ) )
= $true )
| ( ( rt2 @ SV52 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(306,plain,
! [SV77: $i,SV53: $i,SV19: $i] :
( ( ( ( SV19 != SV53 )
| ~ ( rt2 @ SV77 @ SV19 ) )
= $true )
| ( ( rt2 @ SV77 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(307,plain,
! [SV78: $i,SV54: $i,SV20: $i] :
( ( ( ( SV20 != SV54 )
| ~ ( rt3 @ SV20 @ SV78 ) )
= $true )
| ( ( rt3 @ SV54 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(308,plain,
! [SV79: $i,SV55: $i,SV21: $i] :
( ( ( ( SV21 != SV55 )
| ~ ( rt3 @ SV79 @ SV21 ) )
= $true )
| ( ( rt3 @ SV79 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(309,plain,
! [SV80: $i,SV56: $i,SV22: $i] :
( ( ( ( SV22 != SV56 )
| ~ ( rtt @ SV22 @ SV80 ) )
= $true )
| ( ( rtt @ SV56 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(310,plain,
! [SV81: $i,SV57: $i,SV23: $i] :
( ( ( ( SV23 != SV57 )
| ~ ( rtt @ SV81 @ SV23 ) )
= $true )
| ( ( rtt @ SV81 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(311,plain,
! [SV58: $i,SV24: $i] :
( ( ( SV24 != SV58 )
= $true )
| ( ( ~ ( xsd_integer @ SV24 ) )
= $true )
| ( ( xsd_integer @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(312,plain,
! [SV59: $i,SV25: $i] :
( ( ( SV25 != SV59 )
= $true )
| ( ( ~ ( xsd_string @ SV25 ) )
= $true )
| ( ( xsd_string @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(313,plain,
! [SV26: $i] :
( ( ( ce @ SV26 )
= $false )
| ( ( cd @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(314,plain,
! [SV27: $i] :
( ( ( cd @ SV27 )
= $false )
| ( ( cc @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(315,plain,
! [SV28: $i] :
( ( ( ce @ SV28 )
= $false )
| ( ( cc @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(316,plain,
! [SV60: $i,SV29: $i] :
( ( ( rt3 @ SV29 @ SV60 )
= $false )
| ( ( rtt @ SV29 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(317,plain,
! [SV61: $i,SV30: $i] :
( ( ( rr1 @ SV30 @ SV61 )
= $false )
| ( ( rr @ SV30 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(318,plain,
! [SV62: $i,SV31: $i] :
( ( ( rr3 @ SV31 @ SV62 )
= $false )
| ( ( rr @ SV31 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(319,plain,
! [SV63: $i,SV32: $i] :
( ( ( rt1 @ SV32 @ SV63 )
= $false )
| ( ( rtt @ SV32 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(320,plain,
! [SV64: $i,SV33: $i] :
( ( ( rr2 @ SV33 @ SV64 )
= $false )
| ( ( rr @ SV33 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(321,plain,
! [SV65: $i,SV34: $i] :
( ( ( rt2 @ SV34 @ SV65 )
= $false )
| ( ( rtt @ SV34 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(322,plain,
! [SV82: $i] :
( ( ~ ( ca @ SV82 )
| ( cc @ SV82 )
| ( cd @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(323,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ( ca @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( ca @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(324,plain,
! [SV83: $i] :
( ( ~ ( xsd_string @ SV83 )
| ~ ( xsd_integer @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(325,plain,
! [SV84: $i] :
( ( ( xsd_integer @ SV84 )
| ( xsd_string @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(326,plain,
! [SV85: $i] :
( ( cowlThing @ SV85 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(327,plain,
! [SV86: $i] :
( ( ~ ( cowlNothing @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(328,plain,
! [SV87: $i] :
( ( ! [SY154: $i] :
~ ( rr @ SV87 @ SY154 )
| ! [SY155: $i] :
( ~ ( cd @ SY155 )
| ~ ( rr @ SV87 @ SY155 ) )
| ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) )
| ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) )
| ( cUnsatisfiable @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(329,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( SX1 = SX2 )
| ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(330,plain,
! [SV35: $i,SV1: $i] :
( ( ( SV1 = SV35 )
= $false )
| ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(331,plain,
! [SV36: $i,SV2: $i] :
( ( ( SV2 = SV36 )
= $false )
| ( ( ~ ( ca @ SV2 ) )
= $true )
| ( ( ca @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(332,plain,
! [SV37: $i,SV3: $i] :
( ( ( SV3 = SV37 )
= $false )
| ( ( ~ ( cc @ SV3 ) )
= $true )
| ( ( cc @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(333,plain,
! [SV38: $i,SV4: $i] :
( ( ( SV4 = SV38 )
= $false )
| ( ( ~ ( cd @ SV4 ) )
= $true )
| ( ( cd @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(334,plain,
! [SV39: $i,SV5: $i] :
( ( ( SV5 = SV39 )
= $false )
| ( ( ~ ( ce @ SV5 ) )
= $true )
| ( ( ce @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(335,plain,
! [SV40: $i,SV6: $i] :
( ( ( SV6 = SV40 )
= $false )
| ( ( ~ ( cowlNothing @ SV6 ) )
= $true )
| ( ( cowlNothing @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(336,plain,
! [SV41: $i,SV7: $i] :
( ( ( SV7 = SV41 )
= $false )
| ( ( ~ ( cowlThing @ SV7 ) )
= $true )
| ( ( cowlThing @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(337,plain,
! [SV66: $i,SV42: $i,SV8: $i] :
( ( ( SV8 != SV42 )
= $true )
| ( ( ~ ( rr @ SV8 @ SV66 ) )
= $true )
| ( ( rr @ SV42 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(338,plain,
! [SV67: $i,SV43: $i,SV9: $i] :
( ( ( SV9 != SV43 )
= $true )
| ( ( ~ ( rr @ SV67 @ SV9 ) )
= $true )
| ( ( rr @ SV67 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(339,plain,
! [SV68: $i,SV44: $i,SV10: $i] :
( ( ( SV10 != SV44 )
= $true )
| ( ( ~ ( rr1 @ SV10 @ SV68 ) )
= $true )
| ( ( rr1 @ SV44 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(340,plain,
! [SV69: $i,SV45: $i,SV11: $i] :
( ( ( SV11 != SV45 )
= $true )
| ( ( ~ ( rr1 @ SV69 @ SV11 ) )
= $true )
| ( ( rr1 @ SV69 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(341,plain,
! [SV70: $i,SV46: $i,SV12: $i] :
( ( ( SV12 != SV46 )
= $true )
| ( ( ~ ( rr2 @ SV12 @ SV70 ) )
= $true )
| ( ( rr2 @ SV46 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(342,plain,
! [SV71: $i,SV47: $i,SV13: $i] :
( ( ( SV13 != SV47 )
= $true )
| ( ( ~ ( rr2 @ SV71 @ SV13 ) )
= $true )
| ( ( rr2 @ SV71 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(343,plain,
! [SV72: $i,SV48: $i,SV14: $i] :
( ( ( SV14 != SV48 )
= $true )
| ( ( ~ ( rr3 @ SV14 @ SV72 ) )
= $true )
| ( ( rr3 @ SV48 @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(344,plain,
! [SV73: $i,SV49: $i,SV15: $i] :
( ( ( SV15 != SV49 )
= $true )
| ( ( ~ ( rr3 @ SV73 @ SV15 ) )
= $true )
| ( ( rr3 @ SV73 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(345,plain,
! [SV74: $i,SV50: $i,SV16: $i] :
( ( ( SV16 != SV50 )
= $true )
| ( ( ~ ( rt1 @ SV16 @ SV74 ) )
= $true )
| ( ( rt1 @ SV50 @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(346,plain,
! [SV75: $i,SV51: $i,SV17: $i] :
( ( ( SV17 != SV51 )
= $true )
| ( ( ~ ( rt1 @ SV75 @ SV17 ) )
= $true )
| ( ( rt1 @ SV75 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(347,plain,
! [SV76: $i,SV52: $i,SV18: $i] :
( ( ( SV18 != SV52 )
= $true )
| ( ( ~ ( rt2 @ SV18 @ SV76 ) )
= $true )
| ( ( rt2 @ SV52 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(348,plain,
! [SV77: $i,SV53: $i,SV19: $i] :
( ( ( SV19 != SV53 )
= $true )
| ( ( ~ ( rt2 @ SV77 @ SV19 ) )
= $true )
| ( ( rt2 @ SV77 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(349,plain,
! [SV78: $i,SV54: $i,SV20: $i] :
( ( ( SV20 != SV54 )
= $true )
| ( ( ~ ( rt3 @ SV20 @ SV78 ) )
= $true )
| ( ( rt3 @ SV54 @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(350,plain,
! [SV79: $i,SV55: $i,SV21: $i] :
( ( ( SV21 != SV55 )
= $true )
| ( ( ~ ( rt3 @ SV79 @ SV21 ) )
= $true )
| ( ( rt3 @ SV79 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(351,plain,
! [SV80: $i,SV56: $i,SV22: $i] :
( ( ( SV22 != SV56 )
= $true )
| ( ( ~ ( rtt @ SV22 @ SV80 ) )
= $true )
| ( ( rtt @ SV56 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(352,plain,
! [SV81: $i,SV57: $i,SV23: $i] :
( ( ( SV23 != SV57 )
= $true )
| ( ( ~ ( rtt @ SV81 @ SV23 ) )
= $true )
| ( ( rtt @ SV81 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(353,plain,
! [SV58: $i,SV24: $i] :
( ( ( SV24 = SV58 )
= $false )
| ( ( ~ ( xsd_integer @ SV24 ) )
= $true )
| ( ( xsd_integer @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(354,plain,
! [SV59: $i,SV25: $i] :
( ( ( SV25 = SV59 )
= $false )
| ( ( ~ ( xsd_string @ SV25 ) )
= $true )
| ( ( xsd_string @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(355,plain,
! [SV82: $i] :
( ( ( ~ ( ca @ SV82 ) )
= $true )
| ( ( ( cc @ SV82 )
| ( cd @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(356,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ( ca @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(357,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( ca @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(358,plain,
! [SV83: $i] :
( ( ( ~ ( xsd_string @ SV83 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(359,plain,
! [SV84: $i] :
( ( ( xsd_integer @ SV84 )
= $true )
| ( ( xsd_string @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(360,plain,
! [SV86: $i] :
( ( cowlNothing @ SV86 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(361,plain,
! [SV87: $i] :
( ( ( ! [SY154: $i] :
~ ( rr @ SV87 @ SY154 )
| ! [SY155: $i] :
( ~ ( cd @ SY155 )
| ~ ( rr @ SV87 @ SY155 ) )
| ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) )
| ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(362,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( SX1 = SX2 )
| ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(363,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(364,plain,
! [SV35: $i,SV1: $i] :
( ( ( cUnsatisfiable @ SV1 )
= $false )
| ( ( SV1 = SV35 )
= $false )
| ( ( cUnsatisfiable @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(365,plain,
! [SV36: $i,SV2: $i] :
( ( ( ca @ SV2 )
= $false )
| ( ( SV2 = SV36 )
= $false )
| ( ( ca @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(366,plain,
! [SV37: $i,SV3: $i] :
( ( ( cc @ SV3 )
= $false )
| ( ( SV3 = SV37 )
= $false )
| ( ( cc @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(367,plain,
! [SV38: $i,SV4: $i] :
( ( ( cd @ SV4 )
= $false )
| ( ( SV4 = SV38 )
= $false )
| ( ( cd @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(368,plain,
! [SV39: $i,SV5: $i] :
( ( ( ce @ SV5 )
= $false )
| ( ( SV5 = SV39 )
= $false )
| ( ( ce @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(369,plain,
! [SV40: $i,SV6: $i] :
( ( ( cowlNothing @ SV6 )
= $false )
| ( ( SV6 = SV40 )
= $false )
| ( ( cowlNothing @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(370,plain,
! [SV41: $i,SV7: $i] :
( ( ( cowlThing @ SV7 )
= $false )
| ( ( SV7 = SV41 )
= $false )
| ( ( cowlThing @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(371,plain,
! [SV66: $i,SV42: $i,SV8: $i] :
( ( ( SV8 = SV42 )
= $false )
| ( ( ~ ( rr @ SV8 @ SV66 ) )
= $true )
| ( ( rr @ SV42 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(372,plain,
! [SV67: $i,SV43: $i,SV9: $i] :
( ( ( SV9 = SV43 )
= $false )
| ( ( ~ ( rr @ SV67 @ SV9 ) )
= $true )
| ( ( rr @ SV67 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(373,plain,
! [SV68: $i,SV44: $i,SV10: $i] :
( ( ( SV10 = SV44 )
= $false )
| ( ( ~ ( rr1 @ SV10 @ SV68 ) )
= $true )
| ( ( rr1 @ SV44 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(374,plain,
! [SV69: $i,SV45: $i,SV11: $i] :
( ( ( SV11 = SV45 )
= $false )
| ( ( ~ ( rr1 @ SV69 @ SV11 ) )
= $true )
| ( ( rr1 @ SV69 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(375,plain,
! [SV70: $i,SV46: $i,SV12: $i] :
( ( ( SV12 = SV46 )
= $false )
| ( ( ~ ( rr2 @ SV12 @ SV70 ) )
= $true )
| ( ( rr2 @ SV46 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(376,plain,
! [SV71: $i,SV47: $i,SV13: $i] :
( ( ( SV13 = SV47 )
= $false )
| ( ( ~ ( rr2 @ SV71 @ SV13 ) )
= $true )
| ( ( rr2 @ SV71 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(377,plain,
! [SV72: $i,SV48: $i,SV14: $i] :
( ( ( SV14 = SV48 )
= $false )
| ( ( ~ ( rr3 @ SV14 @ SV72 ) )
= $true )
| ( ( rr3 @ SV48 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(378,plain,
! [SV73: $i,SV49: $i,SV15: $i] :
( ( ( SV15 = SV49 )
= $false )
| ( ( ~ ( rr3 @ SV73 @ SV15 ) )
= $true )
| ( ( rr3 @ SV73 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(379,plain,
! [SV74: $i,SV50: $i,SV16: $i] :
( ( ( SV16 = SV50 )
= $false )
| ( ( ~ ( rt1 @ SV16 @ SV74 ) )
= $true )
| ( ( rt1 @ SV50 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(380,plain,
! [SV75: $i,SV51: $i,SV17: $i] :
( ( ( SV17 = SV51 )
= $false )
| ( ( ~ ( rt1 @ SV75 @ SV17 ) )
= $true )
| ( ( rt1 @ SV75 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(381,plain,
! [SV76: $i,SV52: $i,SV18: $i] :
( ( ( SV18 = SV52 )
= $false )
| ( ( ~ ( rt2 @ SV18 @ SV76 ) )
= $true )
| ( ( rt2 @ SV52 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(382,plain,
! [SV77: $i,SV53: $i,SV19: $i] :
( ( ( SV19 = SV53 )
= $false )
| ( ( ~ ( rt2 @ SV77 @ SV19 ) )
= $true )
| ( ( rt2 @ SV77 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(383,plain,
! [SV78: $i,SV54: $i,SV20: $i] :
( ( ( SV20 = SV54 )
= $false )
| ( ( ~ ( rt3 @ SV20 @ SV78 ) )
= $true )
| ( ( rt3 @ SV54 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(384,plain,
! [SV79: $i,SV55: $i,SV21: $i] :
( ( ( SV21 = SV55 )
= $false )
| ( ( ~ ( rt3 @ SV79 @ SV21 ) )
= $true )
| ( ( rt3 @ SV79 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(385,plain,
! [SV80: $i,SV56: $i,SV22: $i] :
( ( ( SV22 = SV56 )
= $false )
| ( ( ~ ( rtt @ SV22 @ SV80 ) )
= $true )
| ( ( rtt @ SV56 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(386,plain,
! [SV81: $i,SV57: $i,SV23: $i] :
( ( ( SV23 = SV57 )
= $false )
| ( ( ~ ( rtt @ SV81 @ SV23 ) )
= $true )
| ( ( rtt @ SV81 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(387,plain,
! [SV58: $i,SV24: $i] :
( ( ( xsd_integer @ SV24 )
= $false )
| ( ( SV24 = SV58 )
= $false )
| ( ( xsd_integer @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(388,plain,
! [SV59: $i,SV25: $i] :
( ( ( xsd_string @ SV25 )
= $false )
| ( ( SV25 = SV59 )
= $false )
| ( ( xsd_string @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(389,plain,
! [SV82: $i] :
( ( ( ca @ SV82 )
= $false )
| ( ( ( cc @ SV82 )
| ( cd @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(390,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ( ca @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(391,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( ca @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(392,plain,
! [SV83: $i] :
( ( ( xsd_string @ SV83 )
= $false )
| ( ( ~ ( xsd_integer @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(393,plain,
! [SV87: $i] :
( ( ( ! [SY154: $i] :
~ ( rr @ SV87 @ SY154 )
| ! [SY155: $i] :
( ~ ( cd @ SY155 )
| ~ ( rr @ SV87 @ SY155 ) )
| ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(394,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( SX1 = SX2 )
| ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(395,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cc @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(396,plain,
! [SV42: $i,SV66: $i,SV8: $i] :
( ( ( rr @ SV8 @ SV66 )
= $false )
| ( ( SV8 = SV42 )
= $false )
| ( ( rr @ SV42 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(397,plain,
! [SV43: $i,SV9: $i,SV67: $i] :
( ( ( rr @ SV67 @ SV9 )
= $false )
| ( ( SV9 = SV43 )
= $false )
| ( ( rr @ SV67 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(398,plain,
! [SV44: $i,SV68: $i,SV10: $i] :
( ( ( rr1 @ SV10 @ SV68 )
= $false )
| ( ( SV10 = SV44 )
= $false )
| ( ( rr1 @ SV44 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(399,plain,
! [SV45: $i,SV11: $i,SV69: $i] :
( ( ( rr1 @ SV69 @ SV11 )
= $false )
| ( ( SV11 = SV45 )
= $false )
| ( ( rr1 @ SV69 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(400,plain,
! [SV46: $i,SV70: $i,SV12: $i] :
( ( ( rr2 @ SV12 @ SV70 )
= $false )
| ( ( SV12 = SV46 )
= $false )
| ( ( rr2 @ SV46 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(401,plain,
! [SV47: $i,SV13: $i,SV71: $i] :
( ( ( rr2 @ SV71 @ SV13 )
= $false )
| ( ( SV13 = SV47 )
= $false )
| ( ( rr2 @ SV71 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(402,plain,
! [SV48: $i,SV72: $i,SV14: $i] :
( ( ( rr3 @ SV14 @ SV72 )
= $false )
| ( ( SV14 = SV48 )
= $false )
| ( ( rr3 @ SV48 @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(403,plain,
! [SV49: $i,SV15: $i,SV73: $i] :
( ( ( rr3 @ SV73 @ SV15 )
= $false )
| ( ( SV15 = SV49 )
= $false )
| ( ( rr3 @ SV73 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(404,plain,
! [SV50: $i,SV74: $i,SV16: $i] :
( ( ( rt1 @ SV16 @ SV74 )
= $false )
| ( ( SV16 = SV50 )
= $false )
| ( ( rt1 @ SV50 @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(405,plain,
! [SV51: $i,SV17: $i,SV75: $i] :
( ( ( rt1 @ SV75 @ SV17 )
= $false )
| ( ( SV17 = SV51 )
= $false )
| ( ( rt1 @ SV75 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(406,plain,
! [SV52: $i,SV76: $i,SV18: $i] :
( ( ( rt2 @ SV18 @ SV76 )
= $false )
| ( ( SV18 = SV52 )
= $false )
| ( ( rt2 @ SV52 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(407,plain,
! [SV53: $i,SV19: $i,SV77: $i] :
( ( ( rt2 @ SV77 @ SV19 )
= $false )
| ( ( SV19 = SV53 )
= $false )
| ( ( rt2 @ SV77 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(408,plain,
! [SV54: $i,SV78: $i,SV20: $i] :
( ( ( rt3 @ SV20 @ SV78 )
= $false )
| ( ( SV20 = SV54 )
= $false )
| ( ( rt3 @ SV54 @ SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(409,plain,
! [SV55: $i,SV21: $i,SV79: $i] :
( ( ( rt3 @ SV79 @ SV21 )
= $false )
| ( ( SV21 = SV55 )
= $false )
| ( ( rt3 @ SV79 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(410,plain,
! [SV56: $i,SV80: $i,SV22: $i] :
( ( ( rtt @ SV22 @ SV80 )
= $false )
| ( ( SV22 = SV56 )
= $false )
| ( ( rtt @ SV56 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(411,plain,
! [SV57: $i,SV23: $i,SV81: $i] :
( ( ( rtt @ SV81 @ SV23 )
= $false )
| ( ( SV23 = SV57 )
= $false )
| ( ( rtt @ SV81 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(412,plain,
! [SV82: $i] :
( ( ( cc @ SV82 )
= $true )
| ( ( cd @ SV82 )
= $true )
| ( ( ca @ SV82 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(413,plain,
! [SV88: $i] :
( ( ~ ( cc @ SV88 )
| ( ca @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(414,plain,
! [SV89: $i] :
( ( ~ ( cd @ SV89 )
| ( ca @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(415,plain,
! [SV83: $i] :
( ( ( xsd_integer @ SV83 )
= $false )
| ( ( xsd_string @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(416,plain,
! [SV87: $i] :
( ( ( ! [SY154: $i] :
~ ( rr @ SV87 @ SY154 )
| ! [SY155: $i] :
( ~ ( cd @ SY155 )
| ~ ( rr @ SV87 @ SY155 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(417,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( SX1 = SX2 )
| ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(418,plain,
! [SV90: $i] :
( ( ~ ( cUnsatisfiable @ SV90 )
| ~ ( ~ ( cc @ ( sK1_Y @ SV90 ) )
| ~ ( rr @ SV90 @ ( sK1_Y @ SV90 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(419,plain,
! [SV88: $i] :
( ( ( ~ ( cc @ SV88 ) )
= $true )
| ( ( ca @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(420,plain,
! [SV89: $i] :
( ( ( ~ ( cd @ SV89 ) )
= $true )
| ( ( ca @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(421,plain,
! [SV87: $i] :
( ( ( ! [SY154: $i] :
~ ( rr @ SV87 @ SY154 ) )
= $true )
| ( ( ! [SY155: $i] :
( ~ ( cd @ SY155 )
| ~ ( rr @ SV87 @ SY155 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(422,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(423,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( SX1 = SX2 )
| ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(424,plain,
! [SV90: $i] :
( ( ( ~ ( cUnsatisfiable @ SV90 ) )
= $true )
| ( ( ~ ( ~ ( cc @ ( sK1_Y @ SV90 ) )
| ~ ( rr @ SV90 @ ( sK1_Y @ SV90 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(425,plain,
! [SV88: $i] :
( ( ( cc @ SV88 )
= $false )
| ( ( ca @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(426,plain,
! [SV89: $i] :
( ( ( cd @ SV89 )
= $false )
| ( ( ca @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(427,plain,
! [SV91: $i,SV87: $i] :
( ( ( ~ ( rr @ SV87 @ SV91 ) )
= $true )
| ( ( ! [SY155: $i] :
( ~ ( cd @ SY155 )
| ~ ( rr @ SV87 @ SY155 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(428,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(429,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i] :
( ( SX1 = SX2 )
| ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(430,plain,
! [SV90: $i] :
( ( ( cUnsatisfiable @ SV90 )
= $false )
| ( ( ~ ( ~ ( cc @ ( sK1_Y @ SV90 ) )
| ~ ( rr @ SV90 @ ( sK1_Y @ SV90 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(431,plain,
! [SV91: $i,SV87: $i] :
( ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( ! [SY155: $i] :
( ~ ( cd @ SY155 )
| ~ ( rr @ SV87 @ SY155 ) ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(432,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(433,plain,
! [SV92: $i] :
( ( ~ ( cUnsatisfiable @ SV92 )
| ! [SY157: $i,SY158: $i] :
( ( SY157 = SY158 )
| ~ ( rr @ SV92 @ SY157 )
| ~ ( rr @ SV92 @ SY158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(434,plain,
! [SV90: $i] :
( ( ( ~ ( cc @ ( sK1_Y @ SV90 ) )
| ~ ( rr @ SV90 @ ( sK1_Y @ SV90 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV90 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(435,plain,
! [SV91: $i,SV87: $i,SV93: $i] :
( ( ( ~ ( cd @ SV93 )
| ~ ( rr @ SV87 @ SV93 ) )
= $true )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(436,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(437,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(438,plain,
! [SV92: $i] :
( ( ( ~ ( cUnsatisfiable @ SV92 ) )
= $true )
| ( ( ! [SY157: $i,SY158: $i] :
( ( SY157 = SY158 )
| ~ ( rr @ SV92 @ SY157 )
| ~ ( rr @ SV92 @ SY158 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(439,plain,
! [SV90: $i] :
( ( ( ~ ( cc @ ( sK1_Y @ SV90 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(440,plain,
! [SV90: $i] :
( ( ( ~ ( rr @ SV90 @ ( sK1_Y @ SV90 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV90 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(441,plain,
! [SV91: $i,SV87: $i,SV93: $i] :
( ( ( ~ ( cd @ SV93 ) )
= $true )
| ( ( ~ ( rr @ SV87 @ SV93 ) )
= $true )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(442,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ( rr @ SX0 @ ( sK3_Y0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(443,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(444,plain,
! [SV92: $i] :
( ( ( cUnsatisfiable @ SV92 )
= $false )
| ( ( ! [SY157: $i,SY158: $i] :
( ( SY157 = SY158 )
| ~ ( rr @ SV92 @ SY157 )
| ~ ( rr @ SV92 @ SY158 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(445,plain,
! [SV90: $i] :
( ( ( cc @ ( sK1_Y @ SV90 ) )
= $true )
| ( ( cUnsatisfiable @ SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(446,plain,
! [SV90: $i] :
( ( ( rr @ SV90 @ ( sK1_Y @ SV90 ) )
= $true )
| ( ( cUnsatisfiable @ SV90 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(447,plain,
! [SV91: $i,SV87: $i,SV93: $i] :
( ( ( cd @ SV93 )
= $false )
| ( ( ~ ( rr @ SV87 @ SV93 ) )
= $true )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(448,plain,
! [SV94: $i] :
( ( ~ ( cUnsatisfiable @ SV94 )
| ( rr @ SV94 @ ( sK3_Y0 @ SV94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(449,plain,
! [SV95: $i] :
( ( ~ ( cUnsatisfiable @ SV95 )
| ~ ( ~ ( cd @ ( sK2_Y @ SV95 ) )
| ~ ( rr @ SV95 @ ( sK2_Y @ SV95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(450,plain,
! [SV92: $i,SV96: $i] :
( ( ( ! [SY159: $i] :
( ( SV96 = SY159 )
| ~ ( rr @ SV92 @ SV96 )
| ~ ( rr @ SV92 @ SY159 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(451,plain,
! [SV91: $i,SV93: $i,SV87: $i] :
( ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( ~ ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(452,plain,
! [SV94: $i] :
( ( ( ~ ( cUnsatisfiable @ SV94 ) )
= $true )
| ( ( rr @ SV94 @ ( sK3_Y0 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(453,plain,
! [SV95: $i] :
( ( ( ~ ( cUnsatisfiable @ SV95 ) )
= $true )
| ( ( ~ ( ~ ( cd @ ( sK2_Y @ SV95 ) )
| ~ ( rr @ SV95 @ ( sK2_Y @ SV95 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(454,plain,
! [SV92: $i,SV97: $i,SV96: $i] :
( ( ( ( SV96 = SV97 )
| ~ ( rr @ SV92 @ SV96 )
| ~ ( rr @ SV92 @ SV97 ) )
= $true )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(455,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) )
| ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(456,plain,
! [SV94: $i] :
( ( ( cUnsatisfiable @ SV94 )
= $false )
| ( ( rr @ SV94 @ ( sK3_Y0 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(457,plain,
! [SV95: $i] :
( ( ( cUnsatisfiable @ SV95 )
= $false )
| ( ( ~ ( ~ ( cd @ ( sK2_Y @ SV95 ) )
| ~ ( rr @ SV95 @ ( sK2_Y @ SV95 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(458,plain,
! [SV92: $i,SV97: $i,SV96: $i] :
( ( ( SV96 = SV97 )
= $true )
| ( ( ~ ( rr @ SV92 @ SV96 )
| ~ ( rr @ SV92 @ SV97 ) )
= $true )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(459,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( ~ ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) ) ) )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(460,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(461,plain,
! [SV95: $i] :
( ( ( ~ ( cd @ ( sK2_Y @ SV95 ) )
| ~ ( rr @ SV95 @ ( sK2_Y @ SV95 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(462,plain,
! [SV97: $i,SV96: $i,SV92: $i] :
( ( ( ~ ( rr @ SV92 @ SV96 ) )
= $true )
| ( ( ~ ( rr @ SV92 @ SV97 ) )
= $true )
| ( ( SV96 = SV97 )
= $true )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(463,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( ( sK4_Y0 @ SV87 )
!= ( sK5_SY90 @ SV87 ) )
= $true )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(464,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( ~ ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) ) )
= $true )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(465,plain,
! [SV95: $i] :
( ( ( ~ ( cd @ ( sK2_Y @ SV95 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(466,plain,
! [SV95: $i] :
( ( ( ~ ( rr @ SV95 @ ( sK2_Y @ SV95 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[461]) ).
thf(467,plain,
! [SV97: $i,SV96: $i,SV92: $i] :
( ( ( rr @ SV92 @ SV96 )
= $false )
| ( ( ~ ( rr @ SV92 @ SV97 ) )
= $true )
| ( ( SV96 = SV97 )
= $true )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(468,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( ( sK4_Y0 @ SV87 )
= ( sK5_SY90 @ SV87 ) )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(469,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
| ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(470,plain,
! [SV95: $i] :
( ( ( cd @ ( sK2_Y @ SV95 ) )
= $true )
| ( ( cUnsatisfiable @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(471,plain,
! [SV95: $i] :
( ( ( rr @ SV95 @ ( sK2_Y @ SV95 ) )
= $true )
| ( ( cUnsatisfiable @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(472,plain,
! [SV96: $i,SV97: $i,SV92: $i] :
( ( ( rr @ SV92 @ SV97 )
= $false )
| ( ( rr @ SV92 @ SV96 )
= $false )
| ( ( SV96 = SV97 )
= $true )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(473,plain,
! [SV91: $i,SV93: $i,SV87: $i,SV98: $i] :
( ( ( ~ ( cc @ SV98 )
| ~ ( rr @ SV87 @ SV98 ) )
= $true )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( ( sK4_Y0 @ SV87 )
= ( sK5_SY90 @ SV87 ) )
= $false )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(474,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( ~ ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) ) )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(475,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( ~ ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) ) )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(476,plain,
! [SV91: $i,SV93: $i,SV87: $i,SV98: $i] :
( ( ( ~ ( cc @ SV98 ) )
= $true )
| ( ( ~ ( rr @ SV87 @ SV98 ) )
= $true )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( ( sK4_Y0 @ SV87 )
= ( sK5_SY90 @ SV87 ) )
= $false )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(477,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
= $true )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(478,plain,
! [SV93: $i,SV91: $i,SV87: $i] :
( ( ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) )
= $true )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( cc @ SY156 )
| ~ ( rr @ SV87 @ SY156 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(479,plain,
! [SV91: $i,SV93: $i,SV87: $i,SV98: $i] :
( ( ( cc @ SV98 )
= $false )
| ( ( ~ ( rr @ SV87 @ SV98 ) )
= $true )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( ( sK4_Y0 @ SV87 )
= ( sK5_SY90 @ SV87 ) )
= $false )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(480,plain,
! [SV91: $i,SV93: $i,SV87: $i,SV99: $i] :
( ( ( ~ ( cc @ SV99 )
| ~ ( rr @ SV87 @ SV99 ) )
= $true )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(481,plain,
! [SV91: $i,SV93: $i,SV87: $i,SV100: $i] :
( ( ( ~ ( cc @ SV100 )
| ~ ( rr @ SV87 @ SV100 ) )
= $true )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(482,plain,
! [SV91: $i,SV93: $i,SV98: $i,SV87: $i] :
( ( ( rr @ SV87 @ SV98 )
= $false )
| ( ( cc @ SV98 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( ( sK4_Y0 @ SV87 )
= ( sK5_SY90 @ SV87 ) )
= $false )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(483,plain,
! [SV91: $i,SV93: $i,SV87: $i,SV99: $i] :
( ( ( ~ ( cc @ SV99 ) )
= $true )
| ( ( ~ ( rr @ SV87 @ SV99 ) )
= $true )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(484,plain,
! [SV91: $i,SV93: $i,SV87: $i,SV100: $i] :
( ( ( ~ ( cc @ SV100 ) )
= $true )
| ( ( ~ ( rr @ SV87 @ SV100 ) )
= $true )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(485,plain,
! [SV91: $i,SV93: $i,SV87: $i,SV99: $i] :
( ( ( cc @ SV99 )
= $false )
| ( ( ~ ( rr @ SV87 @ SV99 ) )
= $true )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(486,plain,
! [SV91: $i,SV93: $i,SV87: $i,SV100: $i] :
( ( ( cc @ SV100 )
= $false )
| ( ( ~ ( rr @ SV87 @ SV100 ) )
= $true )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(487,plain,
! [SV91: $i,SV93: $i,SV99: $i,SV87: $i] :
( ( ( rr @ SV87 @ SV99 )
= $false )
| ( ( cc @ SV99 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( rr @ SV87 @ ( sK4_Y0 @ SV87 ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(488,plain,
! [SV91: $i,SV93: $i,SV100: $i,SV87: $i] :
( ( ( rr @ SV87 @ SV100 )
= $false )
| ( ( cc @ SV100 )
= $false )
| ( ( rr @ SV87 @ SV93 )
= $false )
| ( ( cd @ SV93 )
= $false )
| ( ( rr @ SV87 @ SV91 )
= $false )
| ( ( rr @ SV87 @ ( sK5_SY90 @ SV87 ) )
= $true )
| ( ( cUnsatisfiable @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(489,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[150,488,487,482,472,471,470,456,446,445,426,425,415,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,388,387,370,369,368,367,366,365,364,360,359,326,321,320,319,318,317,316,315,314,313,199]) ).
thf(490,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS097+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
% 0.07/0.18 % Computer : n010.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 11:41:55 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.40
% 0.67/0.40 No.of.Axioms: 39
% 0.67/0.40
% 0.67/0.40 Length.of.Defs: 0
% 0.67/0.40
% 0.67/0.40 Contains.Choice.Funs: false
% 0.67/0.40 .............
% 0.67/0.40
% 0.67/0.40 ********************************
% 0.67/0.40 * All subproblems solved! *
% 0.67/0.40 ********************************
% 0.67/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:39,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:489,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.67/0.40
% 0.67/0.40 %**** Beginning of derivation protocol ****
% 0.67/0.40 % SZS output start CNFRefutation
% See solution above
% 0.67/0.40
% 0.67/0.40 %**** End of derivation protocol ****
% 0.67/0.40 %**** no. of clauses in derivation: 490 ****
% 0.67/0.40 %**** clause counter: 489 ****
% 0.67/0.40
% 0.67/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:39,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:489,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------