TSTP Solution File: KRS071+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 03:14:23 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 43
% Syntax : Number of formulae : 488 ( 205 unt; 19 typ; 0 def)
% Number of atoms : 4523 (1468 equ; 0 cnn)
% Maximal formula atoms : 13 ( 9 avg)
% Number of connectives : 6428 (1652 ~;1616 |; 88 &;3028 @)
% ( 6 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 3 con; 0-2 aty)
% Number of variables : 1194 ( 0 ^1188 !; 6 ?;1194 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_cp1,type,
cp1: $i > $o ).
thf(tp_cp2,type,
cp2: $i > $o ).
thf(tp_cp3,type,
cp3: $i > $o ).
thf(tp_cp4,type,
cp4: $i > $o ).
thf(tp_cp5,type,
cp5: $i > $o ).
thf(tp_i2003_11_14_17_18_39380,type,
i2003_11_14_17_18_39380: $i ).
thf(tp_rinvR,type,
rinvR: $i > $i > $o ).
thf(tp_rr,type,
rr: $i > $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i > $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i > $i ).
thf(tp_sK4_Y0,type,
sK4_Y0: $i > $i ).
thf(tp_sK5_SY47,type,
sK5_SY47: $i > $i ).
thf(tp_sK6_SY49,type,
sK6_SY49: $i > $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
cUnsatisfiable @ i2003_11_14_17_18_39380,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( rinvR @ X @ Y )
<=> ( rr @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(3,axiom,
! [X: $i] :
( ( cp4 @ X )
=> ~ ( cp5 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(4,axiom,
! [X: $i] :
( ( cp3 @ X )
=> ~ ( ( cp4 @ X )
| ( cp5 @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(5,axiom,
! [X: $i] :
( ( cp2 @ X )
=> ~ ( ( cp4 @ X )
| ( cp3 @ X )
| ( cp5 @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(6,axiom,
! [X: $i] :
( ( cp1 @ X )
=> ~ ( ( cp4 @ X )
| ( cp2 @ X )
| ( cp3 @ X )
| ( cp5 @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(7,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rr @ X @ Y )
& ( cp1 @ Y ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cp2 @ Y ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cp3 @ Y ) )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 )
& ( rr @ X @ Y2 ) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(8,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(9,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_2) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_1) ).
thf(14,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvR @ C @ A ) )
=> ( rinvR @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvR_substitution_2) ).
thf(15,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvR @ A @ C ) )
=> ( rinvR @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvR_substitution_1) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cp5 @ A ) )
=> ( cp5 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp5_substitution_1) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cp4 @ A ) )
=> ( cp4 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp4_substitution_1) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cp3 @ A ) )
=> ( cp3 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp3_substitution_1) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cp2 @ A ) )
=> ( cp2 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2_substitution_1) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cp1 @ A ) )
=> ( cp1 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1_substitution_1) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(24,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(25,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[24]) ).
thf(26,plain,
$false = $false,
inference(unfold_def,[status(thm)],[25]) ).
thf(27,plain,
( ( cUnsatisfiable @ i2003_11_14_17_18_39380 )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvR @ X @ Y )
<=> ( rr @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(29,plain,
( ( ! [X: $i] :
( ( cp4 @ X )
=> ~ ( cp5 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(30,plain,
( ( ! [X: $i] :
( ( cp3 @ X )
=> ~ ( ( cp4 @ X )
| ( cp5 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(31,plain,
( ( ! [X: $i] :
( ( cp2 @ X )
=> ~ ( ( cp4 @ X )
| ( cp3 @ X )
| ( cp5 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(32,plain,
( ( ! [X: $i] :
( ( cp1 @ X )
=> ~ ( ( cp4 @ X )
| ( cp2 @ X )
| ( cp3 @ X )
| ( cp5 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(33,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rr @ X @ Y )
& ( cp1 @ Y ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cp2 @ Y ) )
& ? [Y: $i] :
( ( rr @ X @ Y )
& ( cp3 @ Y ) )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 )
& ( rr @ X @ Y2 ) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(34,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(35,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(36,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(38,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(39,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(40,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvR @ C @ A ) )
=> ( rinvR @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(41,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvR @ A @ C ) )
=> ( rinvR @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(42,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp5 @ A ) )
=> ( cp5 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp4 @ A ) )
=> ( cp4 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(44,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp3 @ A ) )
=> ( cp3 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp2 @ A ) )
=> ( cp2 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp1 @ A ) )
=> ( cp1 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(48,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(50,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rinvR @ X @ Y )
| ( rr @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( rr @ Y @ X )
| ( rinvR @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(52,plain,
( ( ! [X: $i] :
( ~ ( cp4 @ X )
| ~ ( cp5 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(53,plain,
( ( ! [X: $i] :
( ~ ( cp3 @ X )
| ~ ( cp4 @ X ) )
& ! [X: $i] :
( ~ ( cp3 @ X )
| ~ ( cp5 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(54,plain,
( ( ! [X: $i] :
( ~ ( cp2 @ X )
| ~ ( cp5 @ X ) )
& ! [X: $i] :
( ~ ( cp2 @ X )
| ~ ( cp3 @ X ) )
& ! [X: $i] :
( ~ ( cp2 @ X )
| ~ ( cp4 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(55,plain,
( ( ! [X: $i] :
( ~ ( cp1 @ X )
| ~ ( cp5 @ X ) )
& ! [X: $i] :
( ~ ( cp1 @ X )
| ~ ( cp3 @ X ) )
& ! [X: $i] :
( ~ ( cp1 @ X )
| ~ ( cp2 @ X ) )
& ! [X: $i] :
( ~ ( cp1 @ X )
| ~ ( cp4 @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(56,plain,
( ( ! [X: $i] :
( ( ( rr @ X @ ( sK4_Y0 @ X ) )
& ( rr @ X @ ( sK5_SY47 @ X ) )
& ( rr @ X @ ( sK6_SY49 @ X ) )
& ( ( sK5_SY47 @ X )
!= ( sK6_SY49 @ X ) )
& ( ( sK4_Y0 @ X )
!= ( sK5_SY47 @ X ) )
& ( ( sK4_Y0 @ X )
!= ( sK6_SY49 @ X ) ) )
| ! [Y: $i] :
( ~ ( cp1 @ Y )
| ~ ( rr @ X @ Y ) )
| ! [Y: $i] :
( ~ ( cp2 @ Y )
| ~ ( rr @ X @ Y ) )
| ! [Y: $i] :
( ~ ( cp3 @ Y )
| ~ ( rr @ X @ Y ) )
| ( cUnsatisfiable @ X ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( rr @ X @ Y0 )
| ~ ( rr @ X @ Y1 )
| ~ ( rr @ X @ Y2 )
| ( Y1 = Y2 )
| ( Y0 = Y1 )
| ( Y0 = Y2 ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cp1 @ ( sK3_Y @ X ) )
& ( rr @ X @ ( sK3_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cp2 @ ( sK2_Y @ X ) )
& ( rr @ X @ ( sK2_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cp3 @ ( sK1_Y @ X ) )
& ( rr @ X @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(57,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(58,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(59,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(60,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(61,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(62,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(63,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvR @ C @ A )
| ( rinvR @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(64,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvR @ A @ C )
| ( rinvR @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(65,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp5 @ A )
| ( cp5 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(66,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp4 @ A )
| ( cp4 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(67,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp3 @ A )
| ( cp3 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(68,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp2 @ A )
| ( cp2 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(69,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp1 @ A )
| ( cp1 @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(71,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cUnsatisfiable @ A )
| ( cUnsatisfiable @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cUnsatisfiable @ A )
| ( cUnsatisfiable @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp1 @ A )
| ( cp1 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp2 @ A )
| ( cp2 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp3 @ A )
| ( cp3 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp4 @ A )
| ( cp4 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp5 @ A )
| ( cp5 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(81,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvR @ A @ C )
| ( rinvR @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(82,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvR @ C @ A )
| ( rinvR @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(83,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(84,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(85,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(86,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(87,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(88,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(89,plain,
( ( ! [X: $i] :
( ( ( rr @ X @ ( sK4_Y0 @ X ) )
& ( rr @ X @ ( sK5_SY47 @ X ) )
& ( rr @ X @ ( sK6_SY49 @ X ) )
& ( ( sK5_SY47 @ X )
!= ( sK6_SY49 @ X ) )
& ( ( sK4_Y0 @ X )
!= ( sK5_SY47 @ X ) )
& ( ( sK4_Y0 @ X )
!= ( sK6_SY49 @ X ) ) )
| ! [Y: $i] :
( ~ ( cp1 @ Y )
| ~ ( rr @ X @ Y ) )
| ! [Y: $i] :
( ~ ( cp2 @ Y )
| ~ ( rr @ X @ Y ) )
| ! [Y: $i] :
( ~ ( cp3 @ Y )
| ~ ( rr @ X @ Y ) )
| ( cUnsatisfiable @ X ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( rr @ X @ Y0 )
| ~ ( rr @ X @ Y1 )
| ~ ( rr @ X @ Y2 )
| ( Y1 = Y2 )
| ( Y0 = Y1 )
| ( Y0 = Y2 ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cp1 @ ( sK3_Y @ X ) )
& ( rr @ X @ ( sK3_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cp2 @ ( sK2_Y @ X ) )
& ( rr @ X @ ( sK2_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cp3 @ ( sK1_Y @ X ) )
& ( rr @ X @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(90,plain,
( ( ! [X: $i] :
( ~ ( cp1 @ X )
| ~ ( cp5 @ X ) )
& ! [X: $i] :
( ~ ( cp1 @ X )
| ~ ( cp3 @ X ) )
& ! [X: $i] :
( ~ ( cp1 @ X )
| ~ ( cp2 @ X ) )
& ! [X: $i] :
( ~ ( cp1 @ X )
| ~ ( cp4 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(91,plain,
( ( ! [X: $i] :
( ~ ( cp2 @ X )
| ~ ( cp5 @ X ) )
& ! [X: $i] :
( ~ ( cp2 @ X )
| ~ ( cp3 @ X ) )
& ! [X: $i] :
( ~ ( cp2 @ X )
| ~ ( cp4 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(92,plain,
( ( ! [X: $i] :
( ~ ( cp3 @ X )
| ~ ( cp4 @ X ) )
& ! [X: $i] :
( ~ ( cp3 @ X )
| ~ ( cp5 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(93,plain,
( ( ! [X: $i] :
( ~ ( cp4 @ X )
| ~ ( cp5 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(94,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rinvR @ X @ Y )
| ( rr @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( rr @ Y @ X )
| ( rinvR @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(95,plain,
( ( cUnsatisfiable @ i2003_11_14_17_18_39380 )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(96,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(97,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(98,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cp3 @ SX0 )
| ~ ( cp4 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp3 @ SX0 )
| ~ ( cp5 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(99,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp5 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp3 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(100,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(101,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp5 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp3 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(102,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ( rr @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX1 @ SX0 )
| ( rinvR @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(103,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SX0 @ ( sK4_Y0 @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK5_SY47 @ SX0 ) ) )
| ~ ( rr @ SX0 @ ( sK6_SY49 @ SX0 ) ) )
| ~ ~ ( ~ ( ( ( sK5_SY47 @ SX0 )
!= ( sK6_SY49 @ SX0 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK5_SY47 @ SX0 ) ) )
| ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK6_SY49 @ SX0 ) ) ) ) ) )
| ! [SX1: $i] :
( ~ ( cp1 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp2 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp3 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 )
| ~ ( rr @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(104,plain,
! [SV1: $i] :
( ( ! [SY50: $i] :
( ( SV1 != SY50 )
| ~ ( cUnsatisfiable @ SV1 )
| ( cUnsatisfiable @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(105,plain,
! [SV2: $i] :
( ( ! [SY51: $i] :
( ( SV2 != SY51 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(106,plain,
! [SV3: $i] :
( ( ! [SY52: $i] :
( ( SV3 != SY52 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(107,plain,
! [SV4: $i] :
( ( ! [SY53: $i] :
( ( SV4 != SY53 )
| ~ ( cp1 @ SV4 )
| ( cp1 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(108,plain,
! [SV5: $i] :
( ( ! [SY54: $i] :
( ( SV5 != SY54 )
| ~ ( cp2 @ SV5 )
| ( cp2 @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(109,plain,
! [SV6: $i] :
( ( ! [SY55: $i] :
( ( SV6 != SY55 )
| ~ ( cp3 @ SV6 )
| ( cp3 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(110,plain,
! [SV7: $i] :
( ( ! [SY56: $i] :
( ( SV7 != SY56 )
| ~ ( cp4 @ SV7 )
| ( cp4 @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(111,plain,
! [SV8: $i] :
( ( ! [SY57: $i] :
( ( SV8 != SY57 )
| ~ ( cp5 @ SV8 )
| ( cp5 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(112,plain,
! [SV9: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ( SV9 != SY58 )
| ~ ( rinvR @ SV9 @ SY59 )
| ( rinvR @ SY58 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(113,plain,
! [SV10: $i] :
( ( ! [SY60: $i,SY61: $i] :
( ( SV10 != SY60 )
| ~ ( rinvR @ SY61 @ SV10 )
| ( rinvR @ SY61 @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(114,plain,
! [SV11: $i] :
( ( ! [SY62: $i,SY63: $i] :
( ( SV11 != SY62 )
| ~ ( rr @ SV11 @ SY63 )
| ( rr @ SY62 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(115,plain,
! [SV12: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ( SV12 != SY64 )
| ~ ( rr @ SY65 @ SV12 )
| ( rr @ SY65 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(116,plain,
! [SV13: $i] :
( ( ! [SY66: $i] :
( ( SV13 != SY66 )
| ~ ( xsd_integer @ SV13 )
| ( xsd_integer @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(117,plain,
! [SV14: $i] :
( ( ! [SY67: $i] :
( ( SV14 != SY67 )
| ~ ( xsd_string @ SV14 )
| ( xsd_string @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(118,plain,
! [SV15: $i] :
( ( ~ ( cp4 @ SV15 )
| ~ ( cp5 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(119,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(120,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(121,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp3 @ SX0 )
| ~ ( cp4 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp3 @ SX0 )
| ~ ( cp5 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(122,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp5 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp3 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(123,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(124,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp5 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp3 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(125,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ( rr @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX1 @ SX0 )
| ( rinvR @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(126,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SX0 @ ( sK4_Y0 @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK5_SY47 @ SX0 ) ) )
| ~ ( rr @ SX0 @ ( sK6_SY49 @ SX0 ) ) )
| ~ ~ ( ~ ( ( ( sK5_SY47 @ SX0 )
!= ( sK6_SY49 @ SX0 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK5_SY47 @ SX0 ) ) )
| ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK6_SY49 @ SX0 ) ) ) ) ) )
| ! [SX1: $i] :
( ~ ( cp1 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp2 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp3 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 )
| ~ ( rr @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(127,plain,
! [SV16: $i,SV1: $i] :
( ( ( SV1 != SV16 )
| ~ ( cUnsatisfiable @ SV1 )
| ( cUnsatisfiable @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(128,plain,
! [SV17: $i,SV2: $i] :
( ( ( SV2 != SV17 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(129,plain,
! [SV18: $i,SV3: $i] :
( ( ( SV3 != SV18 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(130,plain,
! [SV19: $i,SV4: $i] :
( ( ( SV4 != SV19 )
| ~ ( cp1 @ SV4 )
| ( cp1 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(131,plain,
! [SV20: $i,SV5: $i] :
( ( ( SV5 != SV20 )
| ~ ( cp2 @ SV5 )
| ( cp2 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(132,plain,
! [SV21: $i,SV6: $i] :
( ( ( SV6 != SV21 )
| ~ ( cp3 @ SV6 )
| ( cp3 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(133,plain,
! [SV22: $i,SV7: $i] :
( ( ( SV7 != SV22 )
| ~ ( cp4 @ SV7 )
| ( cp4 @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(134,plain,
! [SV23: $i,SV8: $i] :
( ( ( SV8 != SV23 )
| ~ ( cp5 @ SV8 )
| ( cp5 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(135,plain,
! [SV24: $i,SV9: $i] :
( ( ! [SY68: $i] :
( ( SV9 != SV24 )
| ~ ( rinvR @ SV9 @ SY68 )
| ( rinvR @ SV24 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(136,plain,
! [SV25: $i,SV10: $i] :
( ( ! [SY69: $i] :
( ( SV10 != SV25 )
| ~ ( rinvR @ SY69 @ SV10 )
| ( rinvR @ SY69 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(137,plain,
! [SV26: $i,SV11: $i] :
( ( ! [SY70: $i] :
( ( SV11 != SV26 )
| ~ ( rr @ SV11 @ SY70 )
| ( rr @ SV26 @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(138,plain,
! [SV27: $i,SV12: $i] :
( ( ! [SY71: $i] :
( ( SV12 != SV27 )
| ~ ( rr @ SY71 @ SV12 )
| ( rr @ SY71 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(139,plain,
! [SV28: $i,SV13: $i] :
( ( ( SV13 != SV28 )
| ~ ( xsd_integer @ SV13 )
| ( xsd_integer @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(140,plain,
! [SV29: $i,SV14: $i] :
( ( ( SV14 != SV29 )
| ~ ( xsd_string @ SV14 )
| ( xsd_string @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(141,plain,
! [SV15: $i] :
( ( ( ~ ( cp4 @ SV15 ) )
= $true )
| ( ( ~ ( cp5 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(142,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(143,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(144,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp3 @ SX0 )
| ~ ( cp4 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(145,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp3 @ SX0 )
| ~ ( cp5 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(146,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp5 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(147,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp3 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(148,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(149,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[123]) ).
thf(150,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp5 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(151,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp3 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[124]) ).
thf(152,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ( rr @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(153,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX1 @ SX0 )
| ( rinvR @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(154,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SX0 @ ( sK4_Y0 @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK5_SY47 @ SX0 ) ) )
| ~ ( rr @ SX0 @ ( sK6_SY49 @ SX0 ) ) )
| ~ ~ ( ~ ( ( ( sK5_SY47 @ SX0 )
!= ( sK6_SY49 @ SX0 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK5_SY47 @ SX0 ) ) )
| ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK6_SY49 @ SX0 ) ) ) ) ) )
| ! [SX1: $i] :
( ~ ( cp1 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp2 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp3 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(155,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 )
| ~ ( rr @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(156,plain,
! [SV16: $i,SV1: $i] :
( ( ( ( SV1 != SV16 )
| ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(157,plain,
! [SV17: $i,SV2: $i] :
( ( ( ( SV2 != SV17 )
| ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(158,plain,
! [SV18: $i,SV3: $i] :
( ( ( ( SV3 != SV18 )
| ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(159,plain,
! [SV19: $i,SV4: $i] :
( ( ( ( SV4 != SV19 )
| ~ ( cp1 @ SV4 ) )
= $true )
| ( ( cp1 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(160,plain,
! [SV20: $i,SV5: $i] :
( ( ( ( SV5 != SV20 )
| ~ ( cp2 @ SV5 ) )
= $true )
| ( ( cp2 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(161,plain,
! [SV21: $i,SV6: $i] :
( ( ( ( SV6 != SV21 )
| ~ ( cp3 @ SV6 ) )
= $true )
| ( ( cp3 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(162,plain,
! [SV22: $i,SV7: $i] :
( ( ( ( SV7 != SV22 )
| ~ ( cp4 @ SV7 ) )
= $true )
| ( ( cp4 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(163,plain,
! [SV23: $i,SV8: $i] :
( ( ( ( SV8 != SV23 )
| ~ ( cp5 @ SV8 ) )
= $true )
| ( ( cp5 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(164,plain,
! [SV30: $i,SV24: $i,SV9: $i] :
( ( ( SV9 != SV24 )
| ~ ( rinvR @ SV9 @ SV30 )
| ( rinvR @ SV24 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(165,plain,
! [SV31: $i,SV25: $i,SV10: $i] :
( ( ( SV10 != SV25 )
| ~ ( rinvR @ SV31 @ SV10 )
| ( rinvR @ SV31 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(166,plain,
! [SV32: $i,SV26: $i,SV11: $i] :
( ( ( SV11 != SV26 )
| ~ ( rr @ SV11 @ SV32 )
| ( rr @ SV26 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(167,plain,
! [SV33: $i,SV27: $i,SV12: $i] :
( ( ( SV12 != SV27 )
| ~ ( rr @ SV33 @ SV12 )
| ( rr @ SV33 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(168,plain,
! [SV28: $i,SV13: $i] :
( ( ( ( SV13 != SV28 )
| ~ ( xsd_integer @ SV13 ) )
= $true )
| ( ( xsd_integer @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(169,plain,
! [SV29: $i,SV14: $i] :
( ( ( ( SV14 != SV29 )
| ~ ( xsd_string @ SV14 ) )
= $true )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(170,plain,
! [SV15: $i] :
( ( ( cp4 @ SV15 )
= $false )
| ( ( ~ ( cp5 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(171,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(172,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(173,plain,
( ( ! [SX0: $i] :
( ~ ( cp3 @ SX0 )
| ~ ( cp4 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(174,plain,
( ( ! [SX0: $i] :
( ~ ( cp3 @ SX0 )
| ~ ( cp5 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(175,plain,
( ( ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp5 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(176,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp3 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(177,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(178,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(179,plain,
( ( ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp5 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(180,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp3 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(181,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ( rr @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(182,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX1 @ SX0 )
| ( rinvR @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(183,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SX0 @ ( sK4_Y0 @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK5_SY47 @ SX0 ) ) )
| ~ ( rr @ SX0 @ ( sK6_SY49 @ SX0 ) ) )
| ~ ~ ( ~ ( ( ( sK5_SY47 @ SX0 )
!= ( sK6_SY49 @ SX0 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK5_SY47 @ SX0 ) ) )
| ~ ( ( ( sK4_Y0 @ SX0 )
!= ( sK6_SY49 @ SX0 ) ) ) ) ) )
| ! [SX1: $i] :
( ~ ( cp1 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp2 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp3 @ SX1 )
| ~ ( rr @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(184,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 )
| ~ ( rr @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(185,plain,
! [SV16: $i,SV1: $i] :
( ( ( ( SV1 != SV16 ) )
= $true )
| ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(186,plain,
! [SV17: $i,SV2: $i] :
( ( ( ( SV2 != SV17 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(187,plain,
! [SV18: $i,SV3: $i] :
( ( ( ( SV3 != SV18 ) )
= $true )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(188,plain,
! [SV19: $i,SV4: $i] :
( ( ( ( SV4 != SV19 ) )
= $true )
| ( ( ~ ( cp1 @ SV4 ) )
= $true )
| ( ( cp1 @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(189,plain,
! [SV20: $i,SV5: $i] :
( ( ( ( SV5 != SV20 ) )
= $true )
| ( ( ~ ( cp2 @ SV5 ) )
= $true )
| ( ( cp2 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(190,plain,
! [SV21: $i,SV6: $i] :
( ( ( ( SV6 != SV21 ) )
= $true )
| ( ( ~ ( cp3 @ SV6 ) )
= $true )
| ( ( cp3 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(191,plain,
! [SV22: $i,SV7: $i] :
( ( ( ( SV7 != SV22 ) )
= $true )
| ( ( ~ ( cp4 @ SV7 ) )
= $true )
| ( ( cp4 @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(192,plain,
! [SV23: $i,SV8: $i] :
( ( ( ( SV8 != SV23 ) )
= $true )
| ( ( ~ ( cp5 @ SV8 ) )
= $true )
| ( ( cp5 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(193,plain,
! [SV30: $i,SV24: $i,SV9: $i] :
( ( ( ( SV9 != SV24 )
| ~ ( rinvR @ SV9 @ SV30 ) )
= $true )
| ( ( rinvR @ SV24 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(194,plain,
! [SV31: $i,SV25: $i,SV10: $i] :
( ( ( ( SV10 != SV25 )
| ~ ( rinvR @ SV31 @ SV10 ) )
= $true )
| ( ( rinvR @ SV31 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(195,plain,
! [SV32: $i,SV26: $i,SV11: $i] :
( ( ( ( SV11 != SV26 )
| ~ ( rr @ SV11 @ SV32 ) )
= $true )
| ( ( rr @ SV26 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(196,plain,
! [SV33: $i,SV27: $i,SV12: $i] :
( ( ( ( SV12 != SV27 )
| ~ ( rr @ SV33 @ SV12 ) )
= $true )
| ( ( rr @ SV33 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(197,plain,
! [SV28: $i,SV13: $i] :
( ( ( ( SV13 != SV28 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV13 ) )
= $true )
| ( ( xsd_integer @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(198,plain,
! [SV29: $i,SV14: $i] :
( ( ( ( SV14 != SV29 ) )
= $true )
| ( ( ~ ( xsd_string @ SV14 ) )
= $true )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(199,plain,
! [SV15: $i] :
( ( ( cp5 @ SV15 )
= $false )
| ( ( cp4 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(200,plain,
! [SV34: $i] :
( ( ~ ( xsd_string @ SV34 )
| ~ ( xsd_integer @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(201,plain,
! [SV35: $i] :
( ( ( xsd_integer @ SV35 )
| ( xsd_string @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(202,plain,
! [SV36: $i] :
( ( ~ ( cp3 @ SV36 )
| ~ ( cp4 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(203,plain,
! [SV37: $i] :
( ( ~ ( cp3 @ SV37 )
| ~ ( cp5 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(204,plain,
! [SV38: $i] :
( ( ~ ( cp2 @ SV38 )
| ~ ( cp5 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(205,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp3 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp4 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(206,plain,
! [SV39: $i] :
( ( cowlThing @ SV39 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(207,plain,
! [SV40: $i] :
( ( ~ ( cowlNothing @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(208,plain,
! [SV41: $i] :
( ( ~ ( cp1 @ SV41 )
| ~ ( cp5 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(209,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp3 @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(210,plain,
! [SV42: $i] :
( ( ! [SY72: $i] :
( ~ ( rinvR @ SV42 @ SY72 )
| ( rr @ SY72 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(211,plain,
! [SV43: $i] :
( ( ! [SY73: $i] :
( ~ ( rr @ SY73 @ SV43 )
| ( rinvR @ SV43 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(212,plain,
! [SV44: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
| ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) )
| ~ ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK5_SY47 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
| ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) ) ) )
| ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) )
| ( cUnsatisfiable @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(213,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 )
| ~ ( rr @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(214,plain,
! [SV16: $i,SV1: $i] :
( ( ( SV1 = SV16 )
= $false )
| ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(215,plain,
! [SV17: $i,SV2: $i] :
( ( ( SV2 = SV17 )
= $false )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(216,plain,
! [SV18: $i,SV3: $i] :
( ( ( SV3 = SV18 )
= $false )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(217,plain,
! [SV19: $i,SV4: $i] :
( ( ( SV4 = SV19 )
= $false )
| ( ( ~ ( cp1 @ SV4 ) )
= $true )
| ( ( cp1 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(218,plain,
! [SV20: $i,SV5: $i] :
( ( ( SV5 = SV20 )
= $false )
| ( ( ~ ( cp2 @ SV5 ) )
= $true )
| ( ( cp2 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(219,plain,
! [SV21: $i,SV6: $i] :
( ( ( SV6 = SV21 )
= $false )
| ( ( ~ ( cp3 @ SV6 ) )
= $true )
| ( ( cp3 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(220,plain,
! [SV22: $i,SV7: $i] :
( ( ( SV7 = SV22 )
= $false )
| ( ( ~ ( cp4 @ SV7 ) )
= $true )
| ( ( cp4 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(221,plain,
! [SV23: $i,SV8: $i] :
( ( ( SV8 = SV23 )
= $false )
| ( ( ~ ( cp5 @ SV8 ) )
= $true )
| ( ( cp5 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(222,plain,
! [SV30: $i,SV24: $i,SV9: $i] :
( ( ( ( SV9 != SV24 ) )
= $true )
| ( ( ~ ( rinvR @ SV9 @ SV30 ) )
= $true )
| ( ( rinvR @ SV24 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(223,plain,
! [SV31: $i,SV25: $i,SV10: $i] :
( ( ( ( SV10 != SV25 ) )
= $true )
| ( ( ~ ( rinvR @ SV31 @ SV10 ) )
= $true )
| ( ( rinvR @ SV31 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(224,plain,
! [SV32: $i,SV26: $i,SV11: $i] :
( ( ( ( SV11 != SV26 ) )
= $true )
| ( ( ~ ( rr @ SV11 @ SV32 ) )
= $true )
| ( ( rr @ SV26 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(225,plain,
! [SV33: $i,SV27: $i,SV12: $i] :
( ( ( ( SV12 != SV27 ) )
= $true )
| ( ( ~ ( rr @ SV33 @ SV12 ) )
= $true )
| ( ( rr @ SV33 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(226,plain,
! [SV28: $i,SV13: $i] :
( ( ( SV13 = SV28 )
= $false )
| ( ( ~ ( xsd_integer @ SV13 ) )
= $true )
| ( ( xsd_integer @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(227,plain,
! [SV29: $i,SV14: $i] :
( ( ( SV14 = SV29 )
= $false )
| ( ( ~ ( xsd_string @ SV14 ) )
= $true )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(228,plain,
! [SV34: $i] :
( ( ( ~ ( xsd_string @ SV34 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(229,plain,
! [SV35: $i] :
( ( ( xsd_integer @ SV35 )
= $true )
| ( ( xsd_string @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(230,plain,
! [SV36: $i] :
( ( ( ~ ( cp3 @ SV36 ) )
= $true )
| ( ( ~ ( cp4 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(231,plain,
! [SV37: $i] :
( ( ( ~ ( cp3 @ SV37 ) )
= $true )
| ( ( ~ ( cp5 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(232,plain,
! [SV38: $i] :
( ( ( ~ ( cp2 @ SV38 ) )
= $true )
| ( ( ~ ( cp5 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(233,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp3 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(234,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp4 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(235,plain,
! [SV40: $i] :
( ( cowlNothing @ SV40 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(236,plain,
! [SV41: $i] :
( ( ( ~ ( cp1 @ SV41 ) )
= $true )
| ( ( ~ ( cp5 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(237,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp3 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(238,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(239,plain,
! [SV45: $i,SV42: $i] :
( ( ~ ( rinvR @ SV42 @ SV45 )
| ( rr @ SV45 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(240,plain,
! [SV43: $i,SV46: $i] :
( ( ~ ( rr @ SV46 @ SV43 )
| ( rinvR @ SV43 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(241,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
| ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) )
| ~ ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK5_SY47 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
| ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) ) ) )
| ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(242,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 )
| ~ ( rr @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(243,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(244,plain,
! [SV16: $i,SV1: $i] :
( ( ( cUnsatisfiable @ SV1 )
= $false )
| ( ( SV1 = SV16 )
= $false )
| ( ( cUnsatisfiable @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(245,plain,
! [SV17: $i,SV2: $i] :
( ( ( cowlNothing @ SV2 )
= $false )
| ( ( SV2 = SV17 )
= $false )
| ( ( cowlNothing @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(246,plain,
! [SV18: $i,SV3: $i] :
( ( ( cowlThing @ SV3 )
= $false )
| ( ( SV3 = SV18 )
= $false )
| ( ( cowlThing @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(247,plain,
! [SV19: $i,SV4: $i] :
( ( ( cp1 @ SV4 )
= $false )
| ( ( SV4 = SV19 )
= $false )
| ( ( cp1 @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(248,plain,
! [SV20: $i,SV5: $i] :
( ( ( cp2 @ SV5 )
= $false )
| ( ( SV5 = SV20 )
= $false )
| ( ( cp2 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(249,plain,
! [SV21: $i,SV6: $i] :
( ( ( cp3 @ SV6 )
= $false )
| ( ( SV6 = SV21 )
= $false )
| ( ( cp3 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(250,plain,
! [SV22: $i,SV7: $i] :
( ( ( cp4 @ SV7 )
= $false )
| ( ( SV7 = SV22 )
= $false )
| ( ( cp4 @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(251,plain,
! [SV23: $i,SV8: $i] :
( ( ( cp5 @ SV8 )
= $false )
| ( ( SV8 = SV23 )
= $false )
| ( ( cp5 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(252,plain,
! [SV30: $i,SV24: $i,SV9: $i] :
( ( ( SV9 = SV24 )
= $false )
| ( ( ~ ( rinvR @ SV9 @ SV30 ) )
= $true )
| ( ( rinvR @ SV24 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(253,plain,
! [SV31: $i,SV25: $i,SV10: $i] :
( ( ( SV10 = SV25 )
= $false )
| ( ( ~ ( rinvR @ SV31 @ SV10 ) )
= $true )
| ( ( rinvR @ SV31 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(254,plain,
! [SV32: $i,SV26: $i,SV11: $i] :
( ( ( SV11 = SV26 )
= $false )
| ( ( ~ ( rr @ SV11 @ SV32 ) )
= $true )
| ( ( rr @ SV26 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(255,plain,
! [SV33: $i,SV27: $i,SV12: $i] :
( ( ( SV12 = SV27 )
= $false )
| ( ( ~ ( rr @ SV33 @ SV12 ) )
= $true )
| ( ( rr @ SV33 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(256,plain,
! [SV28: $i,SV13: $i] :
( ( ( xsd_integer @ SV13 )
= $false )
| ( ( SV13 = SV28 )
= $false )
| ( ( xsd_integer @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(257,plain,
! [SV29: $i,SV14: $i] :
( ( ( xsd_string @ SV14 )
= $false )
| ( ( SV14 = SV29 )
= $false )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(258,plain,
! [SV34: $i] :
( ( ( xsd_string @ SV34 )
= $false )
| ( ( ~ ( xsd_integer @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(259,plain,
! [SV36: $i] :
( ( ( cp3 @ SV36 )
= $false )
| ( ( ~ ( cp4 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(260,plain,
! [SV37: $i] :
( ( ( cp3 @ SV37 )
= $false )
| ( ( ~ ( cp5 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(261,plain,
! [SV38: $i] :
( ( ( cp2 @ SV38 )
= $false )
| ( ( ~ ( cp5 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(262,plain,
( ( ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp3 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(263,plain,
( ( ! [SX0: $i] :
( ~ ( cp2 @ SX0 )
| ~ ( cp4 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(264,plain,
! [SV41: $i] :
( ( ( cp1 @ SV41 )
= $false )
| ( ( ~ ( cp5 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(265,plain,
( ( ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp3 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(266,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp4 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(267,plain,
! [SV45: $i,SV42: $i] :
( ( ( ~ ( rinvR @ SV42 @ SV45 ) )
= $true )
| ( ( rr @ SV45 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(268,plain,
! [SV43: $i,SV46: $i] :
( ( ( ~ ( rr @ SV46 @ SV43 ) )
= $true )
| ( ( rinvR @ SV43 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(269,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
| ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) )
| ~ ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK5_SY47 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
| ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) ) ) ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(270,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rr @ SX0 @ SX1 )
| ~ ( rr @ SX0 @ SX2 )
| ~ ( rr @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(271,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(272,plain,
! [SV24: $i,SV30: $i,SV9: $i] :
( ( ( rinvR @ SV9 @ SV30 )
= $false )
| ( ( SV9 = SV24 )
= $false )
| ( ( rinvR @ SV24 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(273,plain,
! [SV25: $i,SV10: $i,SV31: $i] :
( ( ( rinvR @ SV31 @ SV10 )
= $false )
| ( ( SV10 = SV25 )
= $false )
| ( ( rinvR @ SV31 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(274,plain,
! [SV26: $i,SV32: $i,SV11: $i] :
( ( ( rr @ SV11 @ SV32 )
= $false )
| ( ( SV11 = SV26 )
= $false )
| ( ( rr @ SV26 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(275,plain,
! [SV27: $i,SV12: $i,SV33: $i] :
( ( ( rr @ SV33 @ SV12 )
= $false )
| ( ( SV12 = SV27 )
= $false )
| ( ( rr @ SV33 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(276,plain,
! [SV34: $i] :
( ( ( xsd_integer @ SV34 )
= $false )
| ( ( xsd_string @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(277,plain,
! [SV36: $i] :
( ( ( cp4 @ SV36 )
= $false )
| ( ( cp3 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(278,plain,
! [SV37: $i] :
( ( ( cp5 @ SV37 )
= $false )
| ( ( cp3 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(279,plain,
! [SV38: $i] :
( ( ( cp5 @ SV38 )
= $false )
| ( ( cp2 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(280,plain,
! [SV47: $i] :
( ( ~ ( cp2 @ SV47 )
| ~ ( cp3 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(281,plain,
! [SV48: $i] :
( ( ~ ( cp2 @ SV48 )
| ~ ( cp4 @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(282,plain,
! [SV41: $i] :
( ( ( cp5 @ SV41 )
= $false )
| ( ( cp1 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(283,plain,
! [SV49: $i] :
( ( ~ ( cp1 @ SV49 )
| ~ ( cp3 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(284,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp4 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(285,plain,
! [SV45: $i,SV42: $i] :
( ( ( rinvR @ SV42 @ SV45 )
= $false )
| ( ( rr @ SV45 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(286,plain,
! [SV43: $i,SV46: $i] :
( ( ( rr @ SV46 @ SV43 )
= $false )
| ( ( rinvR @ SV43 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(287,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
| ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) )
| ~ ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK5_SY47 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
| ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(288,plain,
! [SV50: $i] :
( ( ~ ( cUnsatisfiable @ SV50 )
| ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ( rr @ SV50 @ SY77 )
| ~ ( rr @ SV50 @ SY78 )
| ~ ( rr @ SV50 @ SY79 )
| ( SY78 = SY79 )
| ( SY77 = SY78 )
| ( SY77 = SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(289,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(290,plain,
! [SV47: $i] :
( ( ( ~ ( cp2 @ SV47 ) )
= $true )
| ( ( ~ ( cp3 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(291,plain,
! [SV48: $i] :
( ( ( ~ ( cp2 @ SV48 ) )
= $true )
| ( ( ~ ( cp4 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(292,plain,
! [SV49: $i] :
( ( ( ~ ( cp1 @ SV49 ) )
= $true )
| ( ( ~ ( cp3 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(293,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(294,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp4 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(295,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
| ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) )
| ~ ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(296,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK5_SY47 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
| ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(297,plain,
! [SV50: $i] :
( ( ( ~ ( cUnsatisfiable @ SV50 ) )
= $true )
| ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ( rr @ SV50 @ SY77 )
| ~ ( rr @ SV50 @ SY78 )
| ~ ( rr @ SV50 @ SY79 )
| ( SY78 = SY79 )
| ( SY77 = SY78 )
| ( SY77 = SY79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(298,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(299,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(300,plain,
! [SV47: $i] :
( ( ( cp2 @ SV47 )
= $false )
| ( ( ~ ( cp3 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(301,plain,
! [SV48: $i] :
( ( ( cp2 @ SV48 )
= $false )
| ( ( ~ ( cp4 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(302,plain,
! [SV49: $i] :
( ( ( cp1 @ SV49 )
= $false )
| ( ( ~ ( cp3 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(303,plain,
( ( ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp2 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(304,plain,
( ( ! [SX0: $i] :
( ~ ( cp1 @ SX0 )
| ~ ( cp4 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(305,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ~ ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
| ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) )
| ~ ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) ) ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(306,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ( ( ( sK5_SY47 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
| ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) ) ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(307,plain,
! [SV50: $i] :
( ( ( cUnsatisfiable @ SV50 )
= $false )
| ( ( ! [SY77: $i,SY78: $i,SY79: $i] :
( ~ ( rr @ SV50 @ SY77 )
| ~ ( rr @ SV50 @ SY78 )
| ~ ( rr @ SV50 @ SY79 )
| ( SY78 = SY79 )
| ( SY77 = SY78 )
| ( SY77 = SY79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(308,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(309,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(310,plain,
! [SV47: $i] :
( ( ( cp3 @ SV47 )
= $false )
| ( ( cp2 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(311,plain,
! [SV48: $i] :
( ( ( cp4 @ SV48 )
= $false )
| ( ( cp2 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(312,plain,
! [SV49: $i] :
( ( ( cp3 @ SV49 )
= $false )
| ( ( cp1 @ SV49 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(313,plain,
! [SV51: $i] :
( ( ~ ( cp1 @ SV51 )
| ~ ( cp2 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(314,plain,
! [SV52: $i] :
( ( ~ ( cp1 @ SV52 )
| ~ ( cp4 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(315,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
| ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) )
| ~ ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(316,plain,
! [SV44: $i] :
( ( ( ~ ( ( ( sK5_SY47 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) )
| ~ ~ ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
| ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(317,plain,
! [SV53: $i,SV50: $i] :
( ( ( ! [SY80: $i,SY81: $i] :
( ~ ( rr @ SV50 @ SV53 )
| ~ ( rr @ SV50 @ SY80 )
| ~ ( rr @ SV50 @ SY81 )
| ( SY80 = SY81 )
| ( SV53 = SY80 )
| ( SV53 = SY81 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(318,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(319,plain,
! [SV54: $i] :
( ( ~ ( cUnsatisfiable @ SV54 )
| ~ ( ~ ( cp3 @ ( sK1_Y @ SV54 ) )
| ~ ( rr @ SV54 @ ( sK1_Y @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(320,plain,
! [SV51: $i] :
( ( ( ~ ( cp1 @ SV51 ) )
= $true )
| ( ( ~ ( cp2 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(321,plain,
! [SV52: $i] :
( ( ( ~ ( cp1 @ SV52 ) )
= $true )
| ( ( ~ ( cp4 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(322,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
| ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(323,plain,
! [SV44: $i] :
( ( ( ~ ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(324,plain,
! [SV44: $i] :
( ( ( ~ ( ( ( sK5_SY47 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(325,plain,
! [SV44: $i] :
( ( ( ~ ~ ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
| ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(326,plain,
! [SV55: $i,SV53: $i,SV50: $i] :
( ( ( ! [SY82: $i] :
( ~ ( rr @ SV50 @ SV53 )
| ~ ( rr @ SV50 @ SV55 )
| ~ ( rr @ SV50 @ SY82 )
| ( SV55 = SY82 )
| ( SV53 = SV55 )
| ( SV53 = SY82 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(327,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(328,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[318]) ).
thf(329,plain,
! [SV54: $i] :
( ( ( ~ ( cUnsatisfiable @ SV54 ) )
= $true )
| ( ( ~ ( ~ ( cp3 @ ( sK1_Y @ SV54 ) )
| ~ ( rr @ SV54 @ ( sK1_Y @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(330,plain,
! [SV51: $i] :
( ( ( cp1 @ SV51 )
= $false )
| ( ( ~ ( cp2 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(331,plain,
! [SV52: $i] :
( ( ( cp1 @ SV52 )
= $false )
| ( ( ~ ( cp4 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(332,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
| ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(333,plain,
! [SV44: $i] :
( ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(334,plain,
! [SV44: $i] :
( ( ( ( ( sK5_SY47 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(335,plain,
! [SV44: $i] :
( ( ( ~ ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
| ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(336,plain,
! [SV56: $i,SV55: $i,SV53: $i,SV50: $i] :
( ( ( ~ ( rr @ SV50 @ SV53 )
| ~ ( rr @ SV50 @ SV55 )
| ~ ( rr @ SV50 @ SV56 )
| ( SV55 = SV56 )
| ( SV53 = SV55 )
| ( SV53 = SV56 ) )
= $true )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(337,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK3_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(338,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SX0 ) )
| ~ ( rr @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(339,plain,
! [SV54: $i] :
( ( ( cUnsatisfiable @ SV54 )
= $false )
| ( ( ~ ( ~ ( cp3 @ ( sK1_Y @ SV54 ) )
| ~ ( rr @ SV54 @ ( sK1_Y @ SV54 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(340,plain,
! [SV51: $i] :
( ( ( cp2 @ SV51 )
= $false )
| ( ( cp1 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(341,plain,
! [SV52: $i] :
( ( ( cp4 @ SV52 )
= $false )
| ( ( cp1 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(342,plain,
! [SV44: $i] :
( ( ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
| ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(343,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(344,plain,
! [SV44: $i] :
( ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(345,plain,
! [SV44: $i] :
( ( ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
| ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(346,plain,
! [SV56: $i,SV55: $i,SV53: $i,SV50: $i] :
( ( ( ~ ( rr @ SV50 @ SV53 )
| ~ ( rr @ SV50 @ SV55 )
| ~ ( rr @ SV50 @ SV56 ) )
= $true )
| ( ( ( SV55 = SV56 )
| ( SV53 = SV55 )
| ( SV53 = SV56 ) )
= $true )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(347,plain,
! [SV57: $i] :
( ( ~ ( cUnsatisfiable @ SV57 )
| ~ ( ~ ( cp1 @ ( sK3_Y @ SV57 ) )
| ~ ( rr @ SV57 @ ( sK3_Y @ SV57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(348,plain,
! [SV58: $i] :
( ( ~ ( cUnsatisfiable @ SV58 )
| ~ ( ~ ( cp2 @ ( sK2_Y @ SV58 ) )
| ~ ( rr @ SV58 @ ( sK2_Y @ SV58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(349,plain,
! [SV54: $i] :
( ( ( ~ ( cp3 @ ( sK1_Y @ SV54 ) )
| ~ ( rr @ SV54 @ ( sK1_Y @ SV54 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(350,plain,
! [SV44: $i] :
( ( ( ~ ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(351,plain,
! [SV44: $i] :
( ( ( ~ ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[342]) ).
thf(352,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(353,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(354,plain,
! [SV44: $i] :
( ( ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(355,plain,
! [SV44: $i] :
( ( ( ~ ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(356,plain,
! [SV56: $i,SV55: $i,SV53: $i,SV50: $i] :
( ( ( ~ ( rr @ SV50 @ SV53 )
| ~ ( rr @ SV50 @ SV55 ) )
= $true )
| ( ( ~ ( rr @ SV50 @ SV56 ) )
= $true )
| ( ( ( SV55 = SV56 )
| ( SV53 = SV55 )
| ( SV53 = SV56 ) )
= $true )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(357,plain,
! [SV57: $i] :
( ( ( ~ ( cUnsatisfiable @ SV57 ) )
= $true )
| ( ( ~ ( ~ ( cp1 @ ( sK3_Y @ SV57 ) )
| ~ ( rr @ SV57 @ ( sK3_Y @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(358,plain,
! [SV58: $i] :
( ( ( ~ ( cUnsatisfiable @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( cp2 @ ( sK2_Y @ SV58 ) )
| ~ ( rr @ SV58 @ ( sK2_Y @ SV58 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(359,plain,
! [SV54: $i] :
( ( ( ~ ( cp3 @ ( sK1_Y @ SV54 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(360,plain,
! [SV54: $i] :
( ( ( ~ ( rr @ SV54 @ ( sK1_Y @ SV54 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(361,plain,
! [SV44: $i] :
( ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(362,plain,
! [SV44: $i] :
( ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(363,plain,
! [SV44: $i,SV59: $i] :
( ( ( ~ ( cp1 @ SV59 )
| ~ ( rr @ SV44 @ SV59 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(364,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(365,plain,
! [SV44: $i] :
( ( ( ( ( sK4_Y0 @ SV44 )
!= ( sK5_SY47 @ SV44 ) ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(366,plain,
! [SV44: $i] :
( ( ( ( ( sK4_Y0 @ SV44 )
!= ( sK6_SY49 @ SV44 ) ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(367,plain,
! [SV56: $i,SV55: $i,SV53: $i,SV50: $i] :
( ( ( ~ ( rr @ SV50 @ SV53 ) )
= $true )
| ( ( ~ ( rr @ SV50 @ SV55 ) )
= $true )
| ( ( ~ ( rr @ SV50 @ SV56 ) )
= $true )
| ( ( ( SV55 = SV56 )
| ( SV53 = SV55 )
| ( SV53 = SV56 ) )
= $true )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(368,plain,
! [SV57: $i] :
( ( ( cUnsatisfiable @ SV57 )
= $false )
| ( ( ~ ( ~ ( cp1 @ ( sK3_Y @ SV57 ) )
| ~ ( rr @ SV57 @ ( sK3_Y @ SV57 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(369,plain,
! [SV58: $i] :
( ( ( cUnsatisfiable @ SV58 )
= $false )
| ( ( ~ ( ~ ( cp2 @ ( sK2_Y @ SV58 ) )
| ~ ( rr @ SV58 @ ( sK2_Y @ SV58 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(370,plain,
! [SV54: $i] :
( ( ( cp3 @ ( sK1_Y @ SV54 ) )
= $true )
| ( ( cUnsatisfiable @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(371,plain,
! [SV54: $i] :
( ( ( rr @ SV54 @ ( sK1_Y @ SV54 ) )
= $true )
| ( ( cUnsatisfiable @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(372,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(373,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(374,plain,
! [SV44: $i,SV59: $i] :
( ( ( ~ ( cp1 @ SV59 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV59 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(375,plain,
! [SV44: $i,SV60: $i] :
( ( ( ~ ( cp1 @ SV60 )
| ~ ( rr @ SV44 @ SV60 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(376,plain,
! [SV44: $i] :
( ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(377,plain,
! [SV44: $i] :
( ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(378,plain,
! [SV56: $i,SV55: $i,SV53: $i,SV50: $i] :
( ( ( rr @ SV50 @ SV53 )
= $false )
| ( ( ~ ( rr @ SV50 @ SV55 ) )
= $true )
| ( ( ~ ( rr @ SV50 @ SV56 ) )
= $true )
| ( ( ( SV55 = SV56 )
| ( SV53 = SV55 )
| ( SV53 = SV56 ) )
= $true )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(379,plain,
! [SV57: $i] :
( ( ( ~ ( cp1 @ ( sK3_Y @ SV57 ) )
| ~ ( rr @ SV57 @ ( sK3_Y @ SV57 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(380,plain,
! [SV58: $i] :
( ( ( ~ ( cp2 @ ( sK2_Y @ SV58 ) )
| ~ ( rr @ SV58 @ ( sK2_Y @ SV58 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(381,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(382,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(383,plain,
! [SV44: $i,SV59: $i] :
( ( ( cp1 @ SV59 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV59 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(384,plain,
! [SV44: $i,SV60: $i] :
( ( ( ~ ( cp1 @ SV60 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV60 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(385,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(386,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(387,plain,
! [SV56: $i,SV53: $i,SV55: $i,SV50: $i] :
( ( ( rr @ SV50 @ SV55 )
= $false )
| ( ( rr @ SV50 @ SV53 )
= $false )
| ( ( ~ ( rr @ SV50 @ SV56 ) )
= $true )
| ( ( ( SV55 = SV56 )
| ( SV53 = SV55 )
| ( SV53 = SV56 ) )
= $true )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(388,plain,
! [SV57: $i] :
( ( ( ~ ( cp1 @ ( sK3_Y @ SV57 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(389,plain,
! [SV57: $i] :
( ( ( ~ ( rr @ SV57 @ ( sK3_Y @ SV57 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV57 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(390,plain,
! [SV58: $i] :
( ( ( ~ ( cp2 @ ( sK2_Y @ SV58 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(391,plain,
! [SV58: $i] :
( ( ( ~ ( rr @ SV58 @ ( sK2_Y @ SV58 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(392,plain,
! [SV44: $i,SV61: $i] :
( ( ( ~ ( cp1 @ SV61 )
| ~ ( rr @ SV44 @ SV61 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(393,plain,
! [SV44: $i,SV62: $i] :
( ( ( ~ ( cp1 @ SV62 )
| ~ ( rr @ SV44 @ SV62 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(394,plain,
! [SV59: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV59 )
= $false )
| ( ( cp1 @ SV59 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(395,plain,
! [SV44: $i,SV60: $i] :
( ( ( cp1 @ SV60 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV60 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(396,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(397,plain,
! [SV44: $i] :
( ( ( ! [SY74: $i] :
( ~ ( cp1 @ SY74 )
| ~ ( rr @ SV44 @ SY74 ) ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(398,plain,
! [SV55: $i,SV53: $i,SV56: $i,SV50: $i] :
( ( ( rr @ SV50 @ SV56 )
= $false )
| ( ( rr @ SV50 @ SV53 )
= $false )
| ( ( rr @ SV50 @ SV55 )
= $false )
| ( ( ( SV55 = SV56 )
| ( SV53 = SV55 )
| ( SV53 = SV56 ) )
= $true )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(399,plain,
! [SV57: $i] :
( ( ( cp1 @ ( sK3_Y @ SV57 ) )
= $true )
| ( ( cUnsatisfiable @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(400,plain,
! [SV57: $i] :
( ( ( rr @ SV57 @ ( sK3_Y @ SV57 ) )
= $true )
| ( ( cUnsatisfiable @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(401,plain,
! [SV58: $i] :
( ( ( cp2 @ ( sK2_Y @ SV58 ) )
= $true )
| ( ( cUnsatisfiable @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(402,plain,
! [SV58: $i] :
( ( ( rr @ SV58 @ ( sK2_Y @ SV58 ) )
= $true )
| ( ( cUnsatisfiable @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(403,plain,
! [SV44: $i,SV61: $i] :
( ( ( ~ ( cp1 @ SV61 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV61 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(404,plain,
! [SV44: $i,SV62: $i] :
( ( ( ~ ( cp1 @ SV62 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV62 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(405,plain,
! [SV59: $i,SV44: $i,SV63: $i] :
( ( ( ~ ( cp2 @ SV63 )
| ~ ( rr @ SV44 @ SV63 ) )
= $true )
| ( ( cp1 @ SV59 )
= $false )
| ( ( rr @ SV44 @ SV59 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(406,plain,
! [SV60: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV60 )
= $false )
| ( ( cp1 @ SV60 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(407,plain,
! [SV44: $i,SV64: $i] :
( ( ( ~ ( cp1 @ SV64 )
| ~ ( rr @ SV44 @ SV64 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(408,plain,
! [SV44: $i,SV65: $i] :
( ( ( ~ ( cp1 @ SV65 )
| ~ ( rr @ SV44 @ SV65 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(409,plain,
! [SV50: $i,SV53: $i,SV56: $i,SV55: $i] :
( ( ( SV55 = SV56 )
= $true )
| ( ( ( SV53 = SV55 )
| ( SV53 = SV56 ) )
= $true )
| ( ( rr @ SV50 @ SV55 )
= $false )
| ( ( rr @ SV50 @ SV53 )
= $false )
| ( ( rr @ SV50 @ SV56 )
= $false )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(410,plain,
! [SV44: $i,SV61: $i] :
( ( ( cp1 @ SV61 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV61 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(411,plain,
! [SV44: $i,SV62: $i] :
( ( ( cp1 @ SV62 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV62 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(412,plain,
! [SV59: $i,SV44: $i,SV63: $i] :
( ( ( ~ ( cp2 @ SV63 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV63 ) )
= $true )
| ( ( cp1 @ SV59 )
= $false )
| ( ( rr @ SV44 @ SV59 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(413,plain,
! [SV60: $i,SV44: $i,SV66: $i] :
( ( ( ~ ( cp2 @ SV66 )
| ~ ( rr @ SV44 @ SV66 ) )
= $true )
| ( ( cp1 @ SV60 )
= $false )
| ( ( rr @ SV44 @ SV60 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(414,plain,
! [SV44: $i,SV64: $i] :
( ( ( ~ ( cp1 @ SV64 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV64 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(415,plain,
! [SV44: $i,SV65: $i] :
( ( ( ~ ( cp1 @ SV65 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV65 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(416,plain,
! [SV50: $i,SV56: $i,SV55: $i,SV53: $i] :
( ( ( SV53 = SV55 )
= $true )
| ( ( SV53 = SV56 )
= $true )
| ( ( SV55 = SV56 )
= $true )
| ( ( rr @ SV50 @ SV55 )
= $false )
| ( ( rr @ SV50 @ SV53 )
= $false )
| ( ( rr @ SV50 @ SV56 )
= $false )
| ( ( cUnsatisfiable @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(417,plain,
! [SV61: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV61 )
= $false )
| ( ( cp1 @ SV61 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(418,plain,
! [SV62: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV62 )
= $false )
| ( ( cp1 @ SV62 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(419,plain,
! [SV59: $i,SV44: $i,SV63: $i] :
( ( ( cp2 @ SV63 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV63 ) )
= $true )
| ( ( cp1 @ SV59 )
= $false )
| ( ( rr @ SV44 @ SV59 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(420,plain,
! [SV60: $i,SV44: $i,SV66: $i] :
( ( ( ~ ( cp2 @ SV66 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV66 ) )
= $true )
| ( ( cp1 @ SV60 )
= $false )
| ( ( rr @ SV44 @ SV60 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(421,plain,
! [SV44: $i,SV64: $i] :
( ( ( cp1 @ SV64 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV64 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(422,plain,
! [SV44: $i,SV65: $i] :
( ( ( cp1 @ SV65 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV65 ) )
= $true )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(423,plain,
! [SV61: $i,SV44: $i,SV67: $i] :
( ( ( ~ ( cp2 @ SV67 )
| ~ ( rr @ SV44 @ SV67 ) )
= $true )
| ( ( cp1 @ SV61 )
= $false )
| ( ( rr @ SV44 @ SV61 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(424,plain,
! [SV62: $i,SV44: $i,SV68: $i] :
( ( ( ~ ( cp2 @ SV68 )
| ~ ( rr @ SV44 @ SV68 ) )
= $true )
| ( ( cp1 @ SV62 )
= $false )
| ( ( rr @ SV44 @ SV62 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(425,plain,
! [SV59: $i,SV63: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV63 )
= $false )
| ( ( cp2 @ SV63 )
= $false )
| ( ( cp1 @ SV59 )
= $false )
| ( ( rr @ SV44 @ SV59 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(426,plain,
! [SV60: $i,SV44: $i,SV66: $i] :
( ( ( cp2 @ SV66 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV66 ) )
= $true )
| ( ( cp1 @ SV60 )
= $false )
| ( ( rr @ SV44 @ SV60 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(427,plain,
! [SV64: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV64 )
= $false )
| ( ( cp1 @ SV64 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(428,plain,
! [SV65: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV65 )
= $false )
| ( ( cp1 @ SV65 )
= $false )
| ( ( ! [SY75: $i] :
( ~ ( cp2 @ SY75 )
| ~ ( rr @ SV44 @ SY75 ) ) )
= $true )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(429,plain,
! [SV61: $i,SV44: $i,SV67: $i] :
( ( ( ~ ( cp2 @ SV67 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV67 ) )
= $true )
| ( ( cp1 @ SV61 )
= $false )
| ( ( rr @ SV44 @ SV61 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(430,plain,
! [SV62: $i,SV44: $i,SV68: $i] :
( ( ( ~ ( cp2 @ SV68 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV68 ) )
= $true )
| ( ( cp1 @ SV62 )
= $false )
| ( ( rr @ SV44 @ SV62 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(431,plain,
! [SV63: $i,SV59: $i,SV44: $i,SV69: $i] :
( ( ( ~ ( cp3 @ SV69 )
| ~ ( rr @ SV44 @ SV69 ) )
= $true )
| ( ( rr @ SV44 @ SV59 )
= $false )
| ( ( cp1 @ SV59 )
= $false )
| ( ( cp2 @ SV63 )
= $false )
| ( ( rr @ SV44 @ SV63 )
= $false )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(432,plain,
! [SV60: $i,SV66: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV66 )
= $false )
| ( ( cp2 @ SV66 )
= $false )
| ( ( cp1 @ SV60 )
= $false )
| ( ( rr @ SV44 @ SV60 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(433,plain,
! [SV64: $i,SV44: $i,SV70: $i] :
( ( ( ~ ( cp2 @ SV70 )
| ~ ( rr @ SV44 @ SV70 ) )
= $true )
| ( ( cp1 @ SV64 )
= $false )
| ( ( rr @ SV44 @ SV64 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(434,plain,
! [SV65: $i,SV44: $i,SV71: $i] :
( ( ( ~ ( cp2 @ SV71 )
| ~ ( rr @ SV44 @ SV71 ) )
= $true )
| ( ( cp1 @ SV65 )
= $false )
| ( ( rr @ SV44 @ SV65 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(435,plain,
! [SV61: $i,SV44: $i,SV67: $i] :
( ( ( cp2 @ SV67 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV67 ) )
= $true )
| ( ( cp1 @ SV61 )
= $false )
| ( ( rr @ SV44 @ SV61 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(436,plain,
! [SV62: $i,SV44: $i,SV68: $i] :
( ( ( cp2 @ SV68 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV68 ) )
= $true )
| ( ( cp1 @ SV62 )
= $false )
| ( ( rr @ SV44 @ SV62 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(437,plain,
! [SV63: $i,SV59: $i,SV44: $i,SV69: $i] :
( ( ( ~ ( cp3 @ SV69 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV69 ) )
= $true )
| ( ( rr @ SV44 @ SV59 )
= $false )
| ( ( cp1 @ SV59 )
= $false )
| ( ( cp2 @ SV63 )
= $false )
| ( ( rr @ SV44 @ SV63 )
= $false )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(438,plain,
! [SV66: $i,SV60: $i,SV44: $i,SV72: $i] :
( ( ( ~ ( cp3 @ SV72 )
| ~ ( rr @ SV44 @ SV72 ) )
= $true )
| ( ( rr @ SV44 @ SV60 )
= $false )
| ( ( cp1 @ SV60 )
= $false )
| ( ( cp2 @ SV66 )
= $false )
| ( ( rr @ SV44 @ SV66 )
= $false )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(439,plain,
! [SV64: $i,SV44: $i,SV70: $i] :
( ( ( ~ ( cp2 @ SV70 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV70 ) )
= $true )
| ( ( cp1 @ SV64 )
= $false )
| ( ( rr @ SV44 @ SV64 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(440,plain,
! [SV65: $i,SV44: $i,SV71: $i] :
( ( ( ~ ( cp2 @ SV71 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV71 ) )
= $true )
| ( ( cp1 @ SV65 )
= $false )
| ( ( rr @ SV44 @ SV65 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(441,plain,
! [SV61: $i,SV67: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV67 )
= $false )
| ( ( cp2 @ SV67 )
= $false )
| ( ( cp1 @ SV61 )
= $false )
| ( ( rr @ SV44 @ SV61 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(442,plain,
! [SV62: $i,SV68: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV68 )
= $false )
| ( ( cp2 @ SV68 )
= $false )
| ( ( cp1 @ SV62 )
= $false )
| ( ( rr @ SV44 @ SV62 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(443,plain,
! [SV63: $i,SV59: $i,SV44: $i,SV69: $i] :
( ( ( cp3 @ SV69 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV69 ) )
= $true )
| ( ( rr @ SV44 @ SV59 )
= $false )
| ( ( cp1 @ SV59 )
= $false )
| ( ( cp2 @ SV63 )
= $false )
| ( ( rr @ SV44 @ SV63 )
= $false )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(444,plain,
! [SV66: $i,SV60: $i,SV44: $i,SV72: $i] :
( ( ( ~ ( cp3 @ SV72 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV72 ) )
= $true )
| ( ( rr @ SV44 @ SV60 )
= $false )
| ( ( cp1 @ SV60 )
= $false )
| ( ( cp2 @ SV66 )
= $false )
| ( ( rr @ SV44 @ SV66 )
= $false )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(445,plain,
! [SV64: $i,SV44: $i,SV70: $i] :
( ( ( cp2 @ SV70 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV70 ) )
= $true )
| ( ( cp1 @ SV64 )
= $false )
| ( ( rr @ SV44 @ SV64 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(446,plain,
! [SV65: $i,SV44: $i,SV71: $i] :
( ( ( cp2 @ SV71 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV71 ) )
= $true )
| ( ( cp1 @ SV65 )
= $false )
| ( ( rr @ SV44 @ SV65 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(447,plain,
! [SV67: $i,SV61: $i,SV44: $i,SV73: $i] :
( ( ( ~ ( cp3 @ SV73 )
| ~ ( rr @ SV44 @ SV73 ) )
= $true )
| ( ( rr @ SV44 @ SV61 )
= $false )
| ( ( cp1 @ SV61 )
= $false )
| ( ( cp2 @ SV67 )
= $false )
| ( ( rr @ SV44 @ SV67 )
= $false )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(448,plain,
! [SV68: $i,SV62: $i,SV44: $i,SV74: $i] :
( ( ( ~ ( cp3 @ SV74 )
| ~ ( rr @ SV44 @ SV74 ) )
= $true )
| ( ( rr @ SV44 @ SV62 )
= $false )
| ( ( cp1 @ SV62 )
= $false )
| ( ( cp2 @ SV68 )
= $false )
| ( ( rr @ SV44 @ SV68 )
= $false )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(449,plain,
! [SV63: $i,SV59: $i,SV69: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV69 )
= $false )
| ( ( cp3 @ SV69 )
= $false )
| ( ( rr @ SV44 @ SV59 )
= $false )
| ( ( cp1 @ SV59 )
= $false )
| ( ( cp2 @ SV63 )
= $false )
| ( ( rr @ SV44 @ SV63 )
= $false )
| ( ( rr @ SV44 @ ( sK6_SY49 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(450,plain,
! [SV66: $i,SV60: $i,SV44: $i,SV72: $i] :
( ( ( cp3 @ SV72 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV72 ) )
= $true )
| ( ( rr @ SV44 @ SV60 )
= $false )
| ( ( cp1 @ SV60 )
= $false )
| ( ( cp2 @ SV66 )
= $false )
| ( ( rr @ SV44 @ SV66 )
= $false )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(451,plain,
! [SV64: $i,SV70: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV70 )
= $false )
| ( ( cp2 @ SV70 )
= $false )
| ( ( cp1 @ SV64 )
= $false )
| ( ( rr @ SV44 @ SV64 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(452,plain,
! [SV65: $i,SV71: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV71 )
= $false )
| ( ( cp2 @ SV71 )
= $false )
| ( ( cp1 @ SV65 )
= $false )
| ( ( rr @ SV44 @ SV65 )
= $false )
| ( ( ! [SY76: $i] :
( ~ ( cp3 @ SY76 )
| ~ ( rr @ SV44 @ SY76 ) ) )
= $true )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(453,plain,
! [SV67: $i,SV61: $i,SV44: $i,SV73: $i] :
( ( ( ~ ( cp3 @ SV73 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV73 ) )
= $true )
| ( ( rr @ SV44 @ SV61 )
= $false )
| ( ( cp1 @ SV61 )
= $false )
| ( ( cp2 @ SV67 )
= $false )
| ( ( rr @ SV44 @ SV67 )
= $false )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(454,plain,
! [SV68: $i,SV62: $i,SV44: $i,SV74: $i] :
( ( ( ~ ( cp3 @ SV74 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV74 ) )
= $true )
| ( ( rr @ SV44 @ SV62 )
= $false )
| ( ( cp1 @ SV62 )
= $false )
| ( ( cp2 @ SV68 )
= $false )
| ( ( rr @ SV44 @ SV68 )
= $false )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(455,plain,
! [SV66: $i,SV60: $i,SV72: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV72 )
= $false )
| ( ( cp3 @ SV72 )
= $false )
| ( ( rr @ SV44 @ SV60 )
= $false )
| ( ( cp1 @ SV60 )
= $false )
| ( ( cp2 @ SV66 )
= $false )
| ( ( rr @ SV44 @ SV66 )
= $false )
| ( ( ( sK5_SY47 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(456,plain,
! [SV70: $i,SV64: $i,SV44: $i,SV75: $i] :
( ( ( ~ ( cp3 @ SV75 )
| ~ ( rr @ SV44 @ SV75 ) )
= $true )
| ( ( rr @ SV44 @ SV64 )
= $false )
| ( ( cp1 @ SV64 )
= $false )
| ( ( cp2 @ SV70 )
= $false )
| ( ( rr @ SV44 @ SV70 )
= $false )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(457,plain,
! [SV71: $i,SV65: $i,SV44: $i,SV76: $i] :
( ( ( ~ ( cp3 @ SV76 )
| ~ ( rr @ SV44 @ SV76 ) )
= $true )
| ( ( rr @ SV44 @ SV65 )
= $false )
| ( ( cp1 @ SV65 )
= $false )
| ( ( cp2 @ SV71 )
= $false )
| ( ( rr @ SV44 @ SV71 )
= $false )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(458,plain,
! [SV67: $i,SV61: $i,SV44: $i,SV73: $i] :
( ( ( cp3 @ SV73 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV73 ) )
= $true )
| ( ( rr @ SV44 @ SV61 )
= $false )
| ( ( cp1 @ SV61 )
= $false )
| ( ( cp2 @ SV67 )
= $false )
| ( ( rr @ SV44 @ SV67 )
= $false )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(459,plain,
! [SV68: $i,SV62: $i,SV44: $i,SV74: $i] :
( ( ( cp3 @ SV74 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV74 ) )
= $true )
| ( ( rr @ SV44 @ SV62 )
= $false )
| ( ( cp1 @ SV62 )
= $false )
| ( ( cp2 @ SV68 )
= $false )
| ( ( rr @ SV44 @ SV68 )
= $false )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(460,plain,
! [SV70: $i,SV64: $i,SV44: $i,SV75: $i] :
( ( ( ~ ( cp3 @ SV75 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV75 ) )
= $true )
| ( ( rr @ SV44 @ SV64 )
= $false )
| ( ( cp1 @ SV64 )
= $false )
| ( ( cp2 @ SV70 )
= $false )
| ( ( rr @ SV44 @ SV70 )
= $false )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(461,plain,
! [SV71: $i,SV65: $i,SV44: $i,SV76: $i] :
( ( ( ~ ( cp3 @ SV76 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV76 ) )
= $true )
| ( ( rr @ SV44 @ SV65 )
= $false )
| ( ( cp1 @ SV65 )
= $false )
| ( ( cp2 @ SV71 )
= $false )
| ( ( rr @ SV44 @ SV71 )
= $false )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(462,plain,
! [SV67: $i,SV61: $i,SV73: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV73 )
= $false )
| ( ( cp3 @ SV73 )
= $false )
| ( ( rr @ SV44 @ SV61 )
= $false )
| ( ( cp1 @ SV61 )
= $false )
| ( ( cp2 @ SV67 )
= $false )
| ( ( rr @ SV44 @ SV67 )
= $false )
| ( ( rr @ SV44 @ ( sK4_Y0 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(463,plain,
! [SV68: $i,SV62: $i,SV74: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV74 )
= $false )
| ( ( cp3 @ SV74 )
= $false )
| ( ( rr @ SV44 @ SV62 )
= $false )
| ( ( cp1 @ SV62 )
= $false )
| ( ( cp2 @ SV68 )
= $false )
| ( ( rr @ SV44 @ SV68 )
= $false )
| ( ( rr @ SV44 @ ( sK5_SY47 @ SV44 ) )
= $true )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(464,plain,
! [SV70: $i,SV64: $i,SV44: $i,SV75: $i] :
( ( ( cp3 @ SV75 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV75 ) )
= $true )
| ( ( rr @ SV44 @ SV64 )
= $false )
| ( ( cp1 @ SV64 )
= $false )
| ( ( cp2 @ SV70 )
= $false )
| ( ( rr @ SV44 @ SV70 )
= $false )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(465,plain,
! [SV71: $i,SV65: $i,SV44: $i,SV76: $i] :
( ( ( cp3 @ SV76 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV76 ) )
= $true )
| ( ( rr @ SV44 @ SV65 )
= $false )
| ( ( cp1 @ SV65 )
= $false )
| ( ( cp2 @ SV71 )
= $false )
| ( ( rr @ SV44 @ SV71 )
= $false )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(466,plain,
! [SV70: $i,SV64: $i,SV75: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV75 )
= $false )
| ( ( cp3 @ SV75 )
= $false )
| ( ( rr @ SV44 @ SV64 )
= $false )
| ( ( cp1 @ SV64 )
= $false )
| ( ( cp2 @ SV70 )
= $false )
| ( ( rr @ SV44 @ SV70 )
= $false )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK5_SY47 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(467,plain,
! [SV71: $i,SV65: $i,SV76: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV76 )
= $false )
| ( ( cp3 @ SV76 )
= $false )
| ( ( rr @ SV44 @ SV65 )
= $false )
| ( ( cp1 @ SV65 )
= $false )
| ( ( cp2 @ SV71 )
= $false )
| ( ( rr @ SV44 @ SV71 )
= $false )
| ( ( ( sK4_Y0 @ SV44 )
= ( sK6_SY49 @ SV44 ) )
= $false )
| ( ( cUnsatisfiable @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(468,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[95,467,466,463,462,455,449,416,402,401,400,399,371,370,341,340,312,311,310,286,285,282,279,278,277,276,275,274,273,272,257,256,251,250,249,248,247,246,245,244,235,229,206,199,119]) ).
thf(469,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[468]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 12:39:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 23
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.18/0.36 .
% 0.18/0.36 (rf:0,axioms:23,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:25,loop_count:0,foatp_calls:0,translation:fof_full)........................
% 0.18/0.52
% 0.18/0.52 ********************************
% 0.18/0.52 * All subproblems solved! *
% 0.18/0.52 ********************************
% 0.18/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:23,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:468,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.40/0.59
% 0.40/0.59 %**** Beginning of derivation protocol ****
% 0.40/0.59 % SZS output start CNFRefutation
% See solution above
% 0.40/0.59
% 0.40/0.59 %**** End of derivation protocol ****
% 0.40/0.59 %**** no. of clauses in derivation: 469 ****
% 0.40/0.59 %**** clause counter: 468 ****
% 0.40/0.59
% 0.40/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:23,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:468,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------