TSTP Solution File: KRS084+1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS084+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 : n020.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 03:14:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 42
% Syntax : Number of formulae : 378 ( 200 unt; 16 typ; 0 def)
% Number of atoms : 2376 ( 758 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 3323 ( 779 ~; 714 |; 74 &;1708 @)
% ( 10 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 3 con; 0-2 aty)
% Number of variables : 833 ( 0 ^ 827 !; 6 ?; 833 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
thf(tp_cc,type,
cc: $i > $o ).
thf(tp_cd,type,
cd: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_i2003_11_14_17_19_35232,type,
i2003_11_14_17_19_35232: $i ).
thf(tp_rf,type,
rf: $i > $i > $o ).
thf(tp_rinvF,type,
rinvF: $i > $i > $o ).
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_Z,type,
sK3_Z: $i > $i > $i ).
thf(tp_sK4_Y,type,
sK4_Y: $i > $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( rf @ X @ Y )
=> ( rr @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(2,axiom,
cUnsatisfiable @ i2003_11_14_17_19_35232,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rr @ X @ Y )
& ( rr @ Y @ Z ) )
=> ( rr @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( rinvR @ X @ Y )
<=> ( rr @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( rinvF @ X @ Y )
<=> ( rf @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(6,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rf @ X @ Y )
& ( rf @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(7,axiom,
! [X: $i] :
( ( cd @ X )
<=> ( ? [Y: $i] :
( ( rf @ X @ Y )
& ~ ( cc @ Y ) )
& ( cc @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(8,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rinvF @ X @ Y )
& ( cd @ Y ) )
& ! [Y: $i] :
( ( rinvR @ X @ Y )
=> ? [Z: $i] :
( ( rinvF @ Y @ Z )
& ( cd @ Z ) ) )
& ~ ( cc @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(9,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(10,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(11,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(12,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(13,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(14,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(15,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(16,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(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ C @ A ) )
=> ( rinvF @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvF_substitution_2) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ A @ C ) )
=> ( rinvF @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rinvF_substitution_1) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ C @ A ) )
=> ( rf @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rf_substitution_2) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ A @ C ) )
=> ( rf @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rf_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 )
& ( cd @ A ) )
=> ( cd @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cd_substitution_1) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_substitution_1) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(26,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(27,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[26]) ).
thf(28,plain,
$false = $false,
inference(unfold_def,[status(thm)],[27]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i] :
( ( rf @ X @ Y )
=> ( rr @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(30,plain,
( ( cUnsatisfiable @ i2003_11_14_17_19_35232 )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(31,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rr @ X @ Y )
& ( rr @ Y @ Z ) )
=> ( rr @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvR @ X @ Y )
<=> ( rr @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvF @ X @ Y )
<=> ( rf @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(34,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rf @ X @ Y )
& ( rf @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(35,plain,
( ( ! [X: $i] :
( ( cd @ X )
<=> ( ? [Y: $i] :
( ( rf @ X @ Y )
& ~ ( cc @ Y ) )
& ( cc @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(36,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rinvF @ X @ Y )
& ( cd @ Y ) )
& ! [Y: $i] :
( ( rinvR @ X @ Y )
=> ? [Z: $i] :
( ( rinvF @ Y @ Z )
& ( cd @ Z ) ) )
& ~ ( cc @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(37,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(38,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(39,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(40,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(41,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(42,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(43,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvR @ C @ A ) )
=> ( rinvR @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(44,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvR @ A @ C ) )
=> ( rinvR @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(45,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ C @ A ) )
=> ( rinvF @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(46,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ A @ C ) )
=> ( rinvF @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(47,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ C @ A ) )
=> ( rf @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(48,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ A @ C ) )
=> ( rf @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(50,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cd @ A ) )
=> ( cd @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(54,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[28]) ).
thf(55,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rf @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(56,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rr @ X @ Y )
| ~ ( rr @ Y @ Z )
| ( rr @ X @ Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(57,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)],[32]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rf @ Y @ X )
| ( rinvF @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( rinvF @ X @ Y )
| ( rf @ Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf @ X @ Y )
| ~ ( rf @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(60,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
( ~ ( rf @ X @ Y )
| ( cc @ Y ) )
| ~ ( cc @ X )
| ( cd @ X ) )
& ! [X: $i] :
( ~ ( cd @ X )
| ( ( rf @ X @ ( sK1_Y @ X ) )
& ~ ( cc @ ( sK1_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cd @ X )
| ( cc @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(61,plain,
( ( ! [X: $i] :
( ( ( rinvR @ X @ ( sK4_Y @ X ) )
& ! [SY58: $i] :
( ~ ( cd @ SY58 )
| ~ ( rinvF @ ( sK4_Y @ X ) @ SY58 ) ) )
| ! [Y: $i] :
( ~ ( cd @ Y )
| ~ ( rinvF @ X @ Y ) )
| ( cc @ X )
| ( cUnsatisfiable @ X ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ! [Y: $i] :
( ~ ( rinvR @ X @ Y )
| ( ( cd @ ( sK3_Z @ Y @ X ) )
& ( rinvF @ Y @ ( sK3_Z @ Y @ X ) ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cd @ ( sK2_Y @ X ) )
& ( rinvF @ X @ ( sK2_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ~ ( cc @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(62,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(63,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(64,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(65,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(66,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(67,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(68,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvR @ C @ A )
| ( rinvR @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(69,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvR @ A @ C )
| ( rinvR @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(70,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF @ C @ A )
| ( rinvF @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(71,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF @ A @ C )
| ( rinvF @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(72,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf @ C @ A )
| ( rf @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(73,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf @ A @ C )
| ( rf @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cUnsatisfiable @ A )
| ( cUnsatisfiable @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cUnsatisfiable @ A )
| ( cUnsatisfiable @ B ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cd @ A )
| ( cd @ B ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(83,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(84,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf @ A @ C )
| ( rf @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(85,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf @ C @ A )
| ( rf @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(86,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF @ A @ C )
| ( rinvF @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(87,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF @ C @ A )
| ( rinvF @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(88,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvR @ A @ C )
| ( rinvR @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(89,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvR @ C @ A )
| ( rinvR @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(90,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(91,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(92,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(93,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(94,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(95,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(96,plain,
( ( ! [X: $i] :
( ( ( rinvR @ X @ ( sK4_Y @ X ) )
& ! [SY58: $i] :
( ~ ( cd @ SY58 )
| ~ ( rinvF @ ( sK4_Y @ X ) @ SY58 ) ) )
| ! [Y: $i] :
( ~ ( cd @ Y )
| ~ ( rinvF @ X @ Y ) )
| ( cc @ X )
| ( cUnsatisfiable @ X ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ! [Y: $i] :
( ~ ( rinvR @ X @ Y )
| ( ( cd @ ( sK3_Z @ Y @ X ) )
& ( rinvF @ Y @ ( sK3_Z @ Y @ X ) ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cd @ ( sK2_Y @ X ) )
& ( rinvF @ X @ ( sK2_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ~ ( cc @ X ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(97,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
( ~ ( rf @ X @ Y )
| ( cc @ Y ) )
| ~ ( cc @ X )
| ( cd @ X ) )
& ! [X: $i] :
( ~ ( cd @ X )
| ( ( rf @ X @ ( sK1_Y @ X ) )
& ~ ( cc @ ( sK1_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cd @ X )
| ( cc @ X ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(98,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf @ X @ Y )
| ~ ( rf @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(99,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rf @ Y @ X )
| ( rinvF @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( rinvF @ X @ Y )
| ( rf @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(100,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)],[57]) ).
thf(101,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rr @ X @ Y )
| ~ ( rr @ Y @ Z )
| ( rr @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(102,plain,
( ( cUnsatisfiable @ i2003_11_14_17_19_35232 )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(103,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rf @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(104,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(105,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(106,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rf @ SX1 @ SX0 )
| ( rinvF @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvF @ SX0 @ SX1 )
| ( rf @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(107,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( rf @ SX0 @ SX1 )
| ( cc @ SX1 ) )
| ~ ( cc @ SX0 )
| ( cd @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ~ ( ~ ( rf @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( cc @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(108,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)],[100]) ).
thf(109,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(110,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( ~ ( rinvR @ SX0 @ ( sK4_Y @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rinvF @ ( sK4_Y @ SX0 ) @ SX1 ) ) )
| ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rinvF @ SX0 @ SX1 ) )
| ( cc @ SX0 )
| ( cUnsatisfiable @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ~ ( ~ ( cd @ ( sK3_Z @ SX1 @ SX0 ) )
| ~ ( rinvF @ SX1 @ ( sK3_Z @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rinvF @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( cc @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(111,plain,
! [SV1: $i] :
( ( ! [SY59: $i] :
( ( SV1 != SY59 )
| ~ ( cUnsatisfiable @ SV1 )
| ( cUnsatisfiable @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(112,plain,
! [SV2: $i] :
( ( ! [SY60: $i] :
( ( SV2 != SY60 )
| ~ ( cc @ SV2 )
| ( cc @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(113,plain,
! [SV3: $i] :
( ( ! [SY61: $i] :
( ( SV3 != SY61 )
| ~ ( cd @ SV3 )
| ( cd @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(114,plain,
! [SV4: $i] :
( ( ! [SY62: $i] :
( ( SV4 != SY62 )
| ~ ( cowlNothing @ SV4 )
| ( cowlNothing @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(115,plain,
! [SV5: $i] :
( ( ! [SY63: $i] :
( ( SV5 != SY63 )
| ~ ( cowlThing @ SV5 )
| ( cowlThing @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(116,plain,
! [SV6: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ( SV6 != SY64 )
| ~ ( rf @ SV6 @ SY65 )
| ( rf @ SY64 @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(117,plain,
! [SV7: $i] :
( ( ! [SY66: $i,SY67: $i] :
( ( SV7 != SY66 )
| ~ ( rf @ SY67 @ SV7 )
| ( rf @ SY67 @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(118,plain,
! [SV8: $i] :
( ( ! [SY68: $i,SY69: $i] :
( ( SV8 != SY68 )
| ~ ( rinvF @ SV8 @ SY69 )
| ( rinvF @ SY68 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(119,plain,
! [SV9: $i] :
( ( ! [SY70: $i,SY71: $i] :
( ( SV9 != SY70 )
| ~ ( rinvF @ SY71 @ SV9 )
| ( rinvF @ SY71 @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(120,plain,
! [SV10: $i] :
( ( ! [SY72: $i,SY73: $i] :
( ( SV10 != SY72 )
| ~ ( rinvR @ SV10 @ SY73 )
| ( rinvR @ SY72 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(121,plain,
! [SV11: $i] :
( ( ! [SY74: $i,SY75: $i] :
( ( SV11 != SY74 )
| ~ ( rinvR @ SY75 @ SV11 )
| ( rinvR @ SY75 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(122,plain,
! [SV12: $i] :
( ( ! [SY76: $i,SY77: $i] :
( ( SV12 != SY76 )
| ~ ( rr @ SV12 @ SY77 )
| ( rr @ SY76 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(123,plain,
! [SV13: $i] :
( ( ! [SY78: $i,SY79: $i] :
( ( SV13 != SY78 )
| ~ ( rr @ SY79 @ SV13 )
| ( rr @ SY79 @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(124,plain,
! [SV14: $i] :
( ( ! [SY80: $i] :
( ( SV14 != SY80 )
| ~ ( xsd_integer @ SV14 )
| ( xsd_integer @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(125,plain,
! [SV15: $i] :
( ( ! [SY81: $i] :
( ( SV15 != SY81 )
| ~ ( xsd_string @ SV15 )
| ( xsd_string @ SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(126,plain,
! [SV16: $i] :
( ( ! [SY82: $i,SY83: $i] :
( ~ ( rf @ SV16 @ SY82 )
| ~ ( rf @ SV16 @ SY83 )
| ( SY82 = SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(127,plain,
! [SV17: $i] :
( ( ! [SY84: $i,SY85: $i] :
( ~ ( rr @ SV17 @ SY84 )
| ~ ( rr @ SY84 @ SY85 )
| ( rr @ SV17 @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(128,plain,
! [SV18: $i] :
( ( ! [SY86: $i] :
( ~ ( rf @ SV18 @ SY86 )
| ( rr @ SV18 @ SY86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(129,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(130,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(131,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rf @ SX1 @ SX0 )
| ( rinvF @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvF @ SX0 @ SX1 )
| ( rf @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(132,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( rf @ SX0 @ SX1 )
| ( cc @ SX1 ) )
| ~ ( cc @ SX0 )
| ( cd @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ~ ( ~ ( rf @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( cc @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(133,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)],[108]) ).
thf(134,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(135,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ( rinvR @ SX0 @ ( sK4_Y @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rinvF @ ( sK4_Y @ SX0 ) @ SX1 ) ) )
| ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rinvF @ SX0 @ SX1 ) )
| ( cc @ SX0 )
| ( cUnsatisfiable @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ~ ( ~ ( cd @ ( sK3_Z @ SX1 @ SX0 ) )
| ~ ( rinvF @ SX1 @ ( sK3_Z @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rinvF @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( cc @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(136,plain,
! [SV19: $i,SV1: $i] :
( ( ( SV1 != SV19 )
| ~ ( cUnsatisfiable @ SV1 )
| ( cUnsatisfiable @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(137,plain,
! [SV20: $i,SV2: $i] :
( ( ( SV2 != SV20 )
| ~ ( cc @ SV2 )
| ( cc @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(138,plain,
! [SV21: $i,SV3: $i] :
( ( ( SV3 != SV21 )
| ~ ( cd @ SV3 )
| ( cd @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(139,plain,
! [SV22: $i,SV4: $i] :
( ( ( SV4 != SV22 )
| ~ ( cowlNothing @ SV4 )
| ( cowlNothing @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(140,plain,
! [SV23: $i,SV5: $i] :
( ( ( SV5 != SV23 )
| ~ ( cowlThing @ SV5 )
| ( cowlThing @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(141,plain,
! [SV24: $i,SV6: $i] :
( ( ! [SY87: $i] :
( ( SV6 != SV24 )
| ~ ( rf @ SV6 @ SY87 )
| ( rf @ SV24 @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(142,plain,
! [SV25: $i,SV7: $i] :
( ( ! [SY88: $i] :
( ( SV7 != SV25 )
| ~ ( rf @ SY88 @ SV7 )
| ( rf @ SY88 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(143,plain,
! [SV26: $i,SV8: $i] :
( ( ! [SY89: $i] :
( ( SV8 != SV26 )
| ~ ( rinvF @ SV8 @ SY89 )
| ( rinvF @ SV26 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(144,plain,
! [SV27: $i,SV9: $i] :
( ( ! [SY90: $i] :
( ( SV9 != SV27 )
| ~ ( rinvF @ SY90 @ SV9 )
| ( rinvF @ SY90 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(145,plain,
! [SV28: $i,SV10: $i] :
( ( ! [SY91: $i] :
( ( SV10 != SV28 )
| ~ ( rinvR @ SV10 @ SY91 )
| ( rinvR @ SV28 @ SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(146,plain,
! [SV29: $i,SV11: $i] :
( ( ! [SY92: $i] :
( ( SV11 != SV29 )
| ~ ( rinvR @ SY92 @ SV11 )
| ( rinvR @ SY92 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(147,plain,
! [SV30: $i,SV12: $i] :
( ( ! [SY93: $i] :
( ( SV12 != SV30 )
| ~ ( rr @ SV12 @ SY93 )
| ( rr @ SV30 @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(148,plain,
! [SV31: $i,SV13: $i] :
( ( ! [SY94: $i] :
( ( SV13 != SV31 )
| ~ ( rr @ SY94 @ SV13 )
| ( rr @ SY94 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(149,plain,
! [SV32: $i,SV14: $i] :
( ( ( SV14 != SV32 )
| ~ ( xsd_integer @ SV14 )
| ( xsd_integer @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(150,plain,
! [SV33: $i,SV15: $i] :
( ( ( SV15 != SV33 )
| ~ ( xsd_string @ SV15 )
| ( xsd_string @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(151,plain,
! [SV34: $i,SV16: $i] :
( ( ! [SY95: $i] :
( ~ ( rf @ SV16 @ SV34 )
| ~ ( rf @ SV16 @ SY95 )
| ( SV34 = SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(152,plain,
! [SV35: $i,SV17: $i] :
( ( ! [SY96: $i] :
( ~ ( rr @ SV17 @ SV35 )
| ~ ( rr @ SV35 @ SY96 )
| ( rr @ SV17 @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(153,plain,
! [SV36: $i,SV18: $i] :
( ( ~ ( rf @ SV18 @ SV36 )
| ( rr @ SV18 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(154,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(155,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[130]) ).
thf(156,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rf @ SX1 @ SX0 )
| ( rinvF @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(157,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvF @ SX0 @ SX1 )
| ( rf @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[131]) ).
thf(158,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( rf @ SX0 @ SX1 )
| ( cc @ SX1 ) )
| ~ ( cc @ SX0 )
| ( cd @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(159,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ~ ( ~ ( rf @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( cc @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(160,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ( rr @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(161,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX1 @ SX0 )
| ( rinvR @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[133]) ).
thf(162,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(163,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(164,plain,
( ( ~ ! [SX0: $i] :
( ~ ( ~ ( rinvR @ SX0 @ ( sK4_Y @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rinvF @ ( sK4_Y @ SX0 ) @ SX1 ) ) )
| ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rinvF @ SX0 @ SX1 ) )
| ( cc @ SX0 )
| ( cUnsatisfiable @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(165,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ~ ( ~ ( cd @ ( sK3_Z @ SX1 @ SX0 ) )
| ~ ( rinvF @ SX1 @ ( sK3_Z @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rinvF @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( cc @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[135]) ).
thf(166,plain,
! [SV19: $i,SV1: $i] :
( ( ( ( SV1 != SV19 )
| ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(167,plain,
! [SV20: $i,SV2: $i] :
( ( ( ( SV2 != SV20 )
| ~ ( cc @ SV2 ) )
= $true )
| ( ( cc @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(168,plain,
! [SV21: $i,SV3: $i] :
( ( ( ( SV3 != SV21 )
| ~ ( cd @ SV3 ) )
= $true )
| ( ( cd @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(169,plain,
! [SV22: $i,SV4: $i] :
( ( ( ( SV4 != SV22 )
| ~ ( cowlNothing @ SV4 ) )
= $true )
| ( ( cowlNothing @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(170,plain,
! [SV23: $i,SV5: $i] :
( ( ( ( SV5 != SV23 )
| ~ ( cowlThing @ SV5 ) )
= $true )
| ( ( cowlThing @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(171,plain,
! [SV37: $i,SV24: $i,SV6: $i] :
( ( ( SV6 != SV24 )
| ~ ( rf @ SV6 @ SV37 )
| ( rf @ SV24 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(172,plain,
! [SV38: $i,SV25: $i,SV7: $i] :
( ( ( SV7 != SV25 )
| ~ ( rf @ SV38 @ SV7 )
| ( rf @ SV38 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(173,plain,
! [SV39: $i,SV26: $i,SV8: $i] :
( ( ( SV8 != SV26 )
| ~ ( rinvF @ SV8 @ SV39 )
| ( rinvF @ SV26 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(174,plain,
! [SV40: $i,SV27: $i,SV9: $i] :
( ( ( SV9 != SV27 )
| ~ ( rinvF @ SV40 @ SV9 )
| ( rinvF @ SV40 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(175,plain,
! [SV41: $i,SV28: $i,SV10: $i] :
( ( ( SV10 != SV28 )
| ~ ( rinvR @ SV10 @ SV41 )
| ( rinvR @ SV28 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(176,plain,
! [SV42: $i,SV29: $i,SV11: $i] :
( ( ( SV11 != SV29 )
| ~ ( rinvR @ SV42 @ SV11 )
| ( rinvR @ SV42 @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(177,plain,
! [SV43: $i,SV30: $i,SV12: $i] :
( ( ( SV12 != SV30 )
| ~ ( rr @ SV12 @ SV43 )
| ( rr @ SV30 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(178,plain,
! [SV44: $i,SV31: $i,SV13: $i] :
( ( ( SV13 != SV31 )
| ~ ( rr @ SV44 @ SV13 )
| ( rr @ SV44 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(179,plain,
! [SV32: $i,SV14: $i] :
( ( ( ( SV14 != SV32 )
| ~ ( xsd_integer @ SV14 ) )
= $true )
| ( ( xsd_integer @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(180,plain,
! [SV33: $i,SV15: $i] :
( ( ( ( SV15 != SV33 )
| ~ ( xsd_string @ SV15 ) )
= $true )
| ( ( xsd_string @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(181,plain,
! [SV45: $i,SV34: $i,SV16: $i] :
( ( ~ ( rf @ SV16 @ SV34 )
| ~ ( rf @ SV16 @ SV45 )
| ( SV34 = SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(182,plain,
! [SV46: $i,SV35: $i,SV17: $i] :
( ( ~ ( rr @ SV17 @ SV35 )
| ~ ( rr @ SV35 @ SV46 )
| ( rr @ SV17 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(183,plain,
! [SV36: $i,SV18: $i] :
( ( ( ~ ( rf @ SV18 @ SV36 ) )
= $true )
| ( ( rr @ SV18 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(184,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(185,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(186,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rf @ SX1 @ SX0 )
| ( rinvF @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(187,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rinvF @ SX0 @ SX1 )
| ( rf @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(188,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( rf @ SX0 @ SX1 )
| ( cc @ SX1 ) )
| ~ ( cc @ SX0 )
| ( cd @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(189,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ~ ( ~ ( rf @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( cc @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(190,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ( rr @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(191,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rr @ SX1 @ SX0 )
| ( rinvR @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(192,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(193,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(194,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( rinvR @ SX0 @ ( sK4_Y @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rinvF @ ( sK4_Y @ SX0 ) @ SX1 ) ) )
| ! [SX1: $i] :
( ~ ( cd @ SX1 )
| ~ ( rinvF @ SX0 @ SX1 ) )
| ( cc @ SX0 )
| ( cUnsatisfiable @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(195,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ~ ( ~ ( cd @ ( sK3_Z @ SX1 @ SX0 ) )
| ~ ( rinvF @ SX1 @ ( sK3_Z @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rinvF @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( cc @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(196,plain,
! [SV19: $i,SV1: $i] :
( ( ( ( SV1 != SV19 ) )
= $true )
| ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(197,plain,
! [SV20: $i,SV2: $i] :
( ( ( ( SV2 != SV20 ) )
= $true )
| ( ( ~ ( cc @ SV2 ) )
= $true )
| ( ( cc @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(198,plain,
! [SV21: $i,SV3: $i] :
( ( ( ( SV3 != SV21 ) )
= $true )
| ( ( ~ ( cd @ SV3 ) )
= $true )
| ( ( cd @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(199,plain,
! [SV22: $i,SV4: $i] :
( ( ( ( SV4 != SV22 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV4 ) )
= $true )
| ( ( cowlNothing @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(200,plain,
! [SV23: $i,SV5: $i] :
( ( ( ( SV5 != SV23 ) )
= $true )
| ( ( ~ ( cowlThing @ SV5 ) )
= $true )
| ( ( cowlThing @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(201,plain,
! [SV37: $i,SV24: $i,SV6: $i] :
( ( ( ( SV6 != SV24 )
| ~ ( rf @ SV6 @ SV37 ) )
= $true )
| ( ( rf @ SV24 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(202,plain,
! [SV38: $i,SV25: $i,SV7: $i] :
( ( ( ( SV7 != SV25 )
| ~ ( rf @ SV38 @ SV7 ) )
= $true )
| ( ( rf @ SV38 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(203,plain,
! [SV39: $i,SV26: $i,SV8: $i] :
( ( ( ( SV8 != SV26 )
| ~ ( rinvF @ SV8 @ SV39 ) )
= $true )
| ( ( rinvF @ SV26 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(204,plain,
! [SV40: $i,SV27: $i,SV9: $i] :
( ( ( ( SV9 != SV27 )
| ~ ( rinvF @ SV40 @ SV9 ) )
= $true )
| ( ( rinvF @ SV40 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(205,plain,
! [SV41: $i,SV28: $i,SV10: $i] :
( ( ( ( SV10 != SV28 )
| ~ ( rinvR @ SV10 @ SV41 ) )
= $true )
| ( ( rinvR @ SV28 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(206,plain,
! [SV42: $i,SV29: $i,SV11: $i] :
( ( ( ( SV11 != SV29 )
| ~ ( rinvR @ SV42 @ SV11 ) )
= $true )
| ( ( rinvR @ SV42 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(207,plain,
! [SV43: $i,SV30: $i,SV12: $i] :
( ( ( ( SV12 != SV30 )
| ~ ( rr @ SV12 @ SV43 ) )
= $true )
| ( ( rr @ SV30 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(208,plain,
! [SV44: $i,SV31: $i,SV13: $i] :
( ( ( ( SV13 != SV31 )
| ~ ( rr @ SV44 @ SV13 ) )
= $true )
| ( ( rr @ SV44 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(209,plain,
! [SV32: $i,SV14: $i] :
( ( ( ( SV14 != SV32 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV14 ) )
= $true )
| ( ( xsd_integer @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(210,plain,
! [SV33: $i,SV15: $i] :
( ( ( ( SV15 != SV33 ) )
= $true )
| ( ( ~ ( xsd_string @ SV15 ) )
= $true )
| ( ( xsd_string @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(211,plain,
! [SV45: $i,SV34: $i,SV16: $i] :
( ( ( ~ ( rf @ SV16 @ SV34 )
| ~ ( rf @ SV16 @ SV45 ) )
= $true )
| ( ( SV34 = SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[181]) ).
thf(212,plain,
! [SV46: $i,SV35: $i,SV17: $i] :
( ( ( ~ ( rr @ SV17 @ SV35 )
| ~ ( rr @ SV35 @ SV46 ) )
= $true )
| ( ( rr @ SV17 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(213,plain,
! [SV36: $i,SV18: $i] :
( ( ( rf @ SV18 @ SV36 )
= $false )
| ( ( rr @ SV18 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(214,plain,
! [SV47: $i] :
( ( ~ ( xsd_string @ SV47 )
| ~ ( xsd_integer @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(215,plain,
! [SV48: $i] :
( ( ( xsd_integer @ SV48 )
| ( xsd_string @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(216,plain,
! [SV49: $i] :
( ( ! [SY97: $i] :
( ~ ( rf @ SY97 @ SV49 )
| ( rinvF @ SV49 @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(217,plain,
! [SV50: $i] :
( ( ! [SY98: $i] :
( ~ ( rinvF @ SV50 @ SY98 )
| ( rf @ SY98 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(218,plain,
! [SV51: $i] :
( ( ! [SY99: $i] :
( ~ ( rf @ SV51 @ SY99 )
| ( cc @ SY99 ) )
| ~ ( cc @ SV51 )
| ( cd @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(219,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ~ ( ~ ( rf @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( cc @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(220,plain,
! [SV52: $i] :
( ( ! [SY100: $i] :
( ~ ( rinvR @ SV52 @ SY100 )
| ( rr @ SY100 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(221,plain,
! [SV53: $i] :
( ( ! [SY101: $i] :
( ~ ( rr @ SY101 @ SV53 )
| ( rinvR @ SV53 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(222,plain,
! [SV54: $i] :
( ( cowlThing @ SV54 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(223,plain,
! [SV55: $i] :
( ( ~ ( cowlNothing @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(224,plain,
! [SV56: $i] :
( ( ~ ( ~ ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) )
| ~ ! [SY102: $i] :
( ~ ( cd @ SY102 )
| ~ ( rinvF @ ( sK4_Y @ SV56 ) @ SY102 ) ) )
| ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) )
| ( cc @ SV56 )
| ( cUnsatisfiable @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(225,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ~ ( ~ ( cd @ ( sK3_Z @ SX1 @ SX0 ) )
| ~ ( rinvF @ SX1 @ ( sK3_Z @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rinvF @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( cc @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(226,plain,
! [SV19: $i,SV1: $i] :
( ( ( SV1 = SV19 )
= $false )
| ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(227,plain,
! [SV20: $i,SV2: $i] :
( ( ( SV2 = SV20 )
= $false )
| ( ( ~ ( cc @ SV2 ) )
= $true )
| ( ( cc @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(228,plain,
! [SV21: $i,SV3: $i] :
( ( ( SV3 = SV21 )
= $false )
| ( ( ~ ( cd @ SV3 ) )
= $true )
| ( ( cd @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(229,plain,
! [SV22: $i,SV4: $i] :
( ( ( SV4 = SV22 )
= $false )
| ( ( ~ ( cowlNothing @ SV4 ) )
= $true )
| ( ( cowlNothing @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(230,plain,
! [SV23: $i,SV5: $i] :
( ( ( SV5 = SV23 )
= $false )
| ( ( ~ ( cowlThing @ SV5 ) )
= $true )
| ( ( cowlThing @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(231,plain,
! [SV37: $i,SV24: $i,SV6: $i] :
( ( ( ( SV6 != SV24 ) )
= $true )
| ( ( ~ ( rf @ SV6 @ SV37 ) )
= $true )
| ( ( rf @ SV24 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(232,plain,
! [SV38: $i,SV25: $i,SV7: $i] :
( ( ( ( SV7 != SV25 ) )
= $true )
| ( ( ~ ( rf @ SV38 @ SV7 ) )
= $true )
| ( ( rf @ SV38 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(233,plain,
! [SV39: $i,SV26: $i,SV8: $i] :
( ( ( ( SV8 != SV26 ) )
= $true )
| ( ( ~ ( rinvF @ SV8 @ SV39 ) )
= $true )
| ( ( rinvF @ SV26 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(234,plain,
! [SV40: $i,SV27: $i,SV9: $i] :
( ( ( ( SV9 != SV27 ) )
= $true )
| ( ( ~ ( rinvF @ SV40 @ SV9 ) )
= $true )
| ( ( rinvF @ SV40 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(235,plain,
! [SV41: $i,SV28: $i,SV10: $i] :
( ( ( ( SV10 != SV28 ) )
= $true )
| ( ( ~ ( rinvR @ SV10 @ SV41 ) )
= $true )
| ( ( rinvR @ SV28 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(236,plain,
! [SV42: $i,SV29: $i,SV11: $i] :
( ( ( ( SV11 != SV29 ) )
= $true )
| ( ( ~ ( rinvR @ SV42 @ SV11 ) )
= $true )
| ( ( rinvR @ SV42 @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(237,plain,
! [SV43: $i,SV30: $i,SV12: $i] :
( ( ( ( SV12 != SV30 ) )
= $true )
| ( ( ~ ( rr @ SV12 @ SV43 ) )
= $true )
| ( ( rr @ SV30 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(238,plain,
! [SV44: $i,SV31: $i,SV13: $i] :
( ( ( ( SV13 != SV31 ) )
= $true )
| ( ( ~ ( rr @ SV44 @ SV13 ) )
= $true )
| ( ( rr @ SV44 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(239,plain,
! [SV32: $i,SV14: $i] :
( ( ( SV14 = SV32 )
= $false )
| ( ( ~ ( xsd_integer @ SV14 ) )
= $true )
| ( ( xsd_integer @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(240,plain,
! [SV33: $i,SV15: $i] :
( ( ( SV15 = SV33 )
= $false )
| ( ( ~ ( xsd_string @ SV15 ) )
= $true )
| ( ( xsd_string @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(241,plain,
! [SV45: $i,SV34: $i,SV16: $i] :
( ( ( ~ ( rf @ SV16 @ SV34 ) )
= $true )
| ( ( ~ ( rf @ SV16 @ SV45 ) )
= $true )
| ( ( SV34 = SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(242,plain,
! [SV46: $i,SV35: $i,SV17: $i] :
( ( ( ~ ( rr @ SV17 @ SV35 ) )
= $true )
| ( ( ~ ( rr @ SV35 @ SV46 ) )
= $true )
| ( ( rr @ SV17 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(243,plain,
! [SV47: $i] :
( ( ( ~ ( xsd_string @ SV47 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(244,plain,
! [SV48: $i] :
( ( ( xsd_integer @ SV48 )
= $true )
| ( ( xsd_string @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(245,plain,
! [SV49: $i,SV57: $i] :
( ( ~ ( rf @ SV57 @ SV49 )
| ( rinvF @ SV49 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(246,plain,
! [SV58: $i,SV50: $i] :
( ( ~ ( rinvF @ SV50 @ SV58 )
| ( rf @ SV58 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(247,plain,
! [SV51: $i] :
( ( ( ! [SY99: $i] :
( ~ ( rf @ SV51 @ SY99 )
| ( cc @ SY99 ) )
| ~ ( cc @ SV51 ) )
= $true )
| ( ( cd @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(248,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ~ ( ~ ( rf @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(249,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( cc @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(250,plain,
! [SV59: $i,SV52: $i] :
( ( ~ ( rinvR @ SV52 @ SV59 )
| ( rr @ SV59 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(251,plain,
! [SV53: $i,SV60: $i] :
( ( ~ ( rr @ SV60 @ SV53 )
| ( rinvR @ SV53 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(252,plain,
! [SV55: $i] :
( ( cowlNothing @ SV55 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(253,plain,
! [SV56: $i] :
( ( ( ~ ( ~ ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) )
| ~ ! [SY102: $i] :
( ~ ( cd @ SY102 )
| ~ ( rinvF @ ( sK4_Y @ SV56 ) @ SY102 ) ) )
| ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) )
| ( cc @ SV56 ) )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(254,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ~ ( ~ ( cd @ ( sK3_Z @ SX1 @ SX0 ) )
| ~ ( rinvF @ SX1 @ ( sK3_Z @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rinvF @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(255,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( cc @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(256,plain,
! [SV19: $i,SV1: $i] :
( ( ( cUnsatisfiable @ SV1 )
= $false )
| ( ( SV1 = SV19 )
= $false )
| ( ( cUnsatisfiable @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(257,plain,
! [SV20: $i,SV2: $i] :
( ( ( cc @ SV2 )
= $false )
| ( ( SV2 = SV20 )
= $false )
| ( ( cc @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(258,plain,
! [SV21: $i,SV3: $i] :
( ( ( cd @ SV3 )
= $false )
| ( ( SV3 = SV21 )
= $false )
| ( ( cd @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(259,plain,
! [SV22: $i,SV4: $i] :
( ( ( cowlNothing @ SV4 )
= $false )
| ( ( SV4 = SV22 )
= $false )
| ( ( cowlNothing @ SV22 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(260,plain,
! [SV23: $i,SV5: $i] :
( ( ( cowlThing @ SV5 )
= $false )
| ( ( SV5 = SV23 )
= $false )
| ( ( cowlThing @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(261,plain,
! [SV37: $i,SV24: $i,SV6: $i] :
( ( ( SV6 = SV24 )
= $false )
| ( ( ~ ( rf @ SV6 @ SV37 ) )
= $true )
| ( ( rf @ SV24 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(262,plain,
! [SV38: $i,SV25: $i,SV7: $i] :
( ( ( SV7 = SV25 )
= $false )
| ( ( ~ ( rf @ SV38 @ SV7 ) )
= $true )
| ( ( rf @ SV38 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(263,plain,
! [SV39: $i,SV26: $i,SV8: $i] :
( ( ( SV8 = SV26 )
= $false )
| ( ( ~ ( rinvF @ SV8 @ SV39 ) )
= $true )
| ( ( rinvF @ SV26 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(264,plain,
! [SV40: $i,SV27: $i,SV9: $i] :
( ( ( SV9 = SV27 )
= $false )
| ( ( ~ ( rinvF @ SV40 @ SV9 ) )
= $true )
| ( ( rinvF @ SV40 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(265,plain,
! [SV41: $i,SV28: $i,SV10: $i] :
( ( ( SV10 = SV28 )
= $false )
| ( ( ~ ( rinvR @ SV10 @ SV41 ) )
= $true )
| ( ( rinvR @ SV28 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(266,plain,
! [SV42: $i,SV29: $i,SV11: $i] :
( ( ( SV11 = SV29 )
= $false )
| ( ( ~ ( rinvR @ SV42 @ SV11 ) )
= $true )
| ( ( rinvR @ SV42 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(267,plain,
! [SV43: $i,SV30: $i,SV12: $i] :
( ( ( SV12 = SV30 )
= $false )
| ( ( ~ ( rr @ SV12 @ SV43 ) )
= $true )
| ( ( rr @ SV30 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(268,plain,
! [SV44: $i,SV31: $i,SV13: $i] :
( ( ( SV13 = SV31 )
= $false )
| ( ( ~ ( rr @ SV44 @ SV13 ) )
= $true )
| ( ( rr @ SV44 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(269,plain,
! [SV32: $i,SV14: $i] :
( ( ( xsd_integer @ SV14 )
= $false )
| ( ( SV14 = SV32 )
= $false )
| ( ( xsd_integer @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(270,plain,
! [SV33: $i,SV15: $i] :
( ( ( xsd_string @ SV15 )
= $false )
| ( ( SV15 = SV33 )
= $false )
| ( ( xsd_string @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(271,plain,
! [SV45: $i,SV34: $i,SV16: $i] :
( ( ( rf @ SV16 @ SV34 )
= $false )
| ( ( ~ ( rf @ SV16 @ SV45 ) )
= $true )
| ( ( SV34 = SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(272,plain,
! [SV46: $i,SV35: $i,SV17: $i] :
( ( ( rr @ SV17 @ SV35 )
= $false )
| ( ( ~ ( rr @ SV35 @ SV46 ) )
= $true )
| ( ( rr @ SV17 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(273,plain,
! [SV47: $i] :
( ( ( xsd_string @ SV47 )
= $false )
| ( ( ~ ( xsd_integer @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(274,plain,
! [SV49: $i,SV57: $i] :
( ( ( ~ ( rf @ SV57 @ SV49 ) )
= $true )
| ( ( rinvF @ SV49 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(275,plain,
! [SV58: $i,SV50: $i] :
( ( ( ~ ( rinvF @ SV50 @ SV58 ) )
= $true )
| ( ( rf @ SV58 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(276,plain,
! [SV51: $i] :
( ( ( ! [SY99: $i] :
( ~ ( rf @ SV51 @ SY99 )
| ( cc @ SY99 ) ) )
= $true )
| ( ( ~ ( cc @ SV51 ) )
= $true )
| ( ( cd @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(277,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ~ ( ~ ( rf @ SX0 @ ( sK1_Y @ SX0 ) )
| ~ ~ ( cc @ ( sK1_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(278,plain,
( ( ! [SX0: $i] :
( ~ ( cd @ SX0 )
| ( cc @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(279,plain,
! [SV59: $i,SV52: $i] :
( ( ( ~ ( rinvR @ SV52 @ SV59 ) )
= $true )
| ( ( rr @ SV59 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(280,plain,
! [SV53: $i,SV60: $i] :
( ( ( ~ ( rr @ SV60 @ SV53 ) )
= $true )
| ( ( rinvR @ SV53 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(281,plain,
! [SV56: $i] :
( ( ( ~ ( ~ ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) )
| ~ ! [SY102: $i] :
( ~ ( cd @ SY102 )
| ~ ( rinvF @ ( sK4_Y @ SV56 ) @ SY102 ) ) )
| ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(282,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ~ ( ~ ( cd @ ( sK3_Z @ SX1 @ SX0 ) )
| ~ ( rinvF @ SX1 @ ( sK3_Z @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rinvF @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(283,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( cc @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(284,plain,
! [SV24: $i,SV37: $i,SV6: $i] :
( ( ( rf @ SV6 @ SV37 )
= $false )
| ( ( SV6 = SV24 )
= $false )
| ( ( rf @ SV24 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(285,plain,
! [SV25: $i,SV7: $i,SV38: $i] :
( ( ( rf @ SV38 @ SV7 )
= $false )
| ( ( SV7 = SV25 )
= $false )
| ( ( rf @ SV38 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(286,plain,
! [SV26: $i,SV39: $i,SV8: $i] :
( ( ( rinvF @ SV8 @ SV39 )
= $false )
| ( ( SV8 = SV26 )
= $false )
| ( ( rinvF @ SV26 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(287,plain,
! [SV27: $i,SV9: $i,SV40: $i] :
( ( ( rinvF @ SV40 @ SV9 )
= $false )
| ( ( SV9 = SV27 )
= $false )
| ( ( rinvF @ SV40 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(288,plain,
! [SV28: $i,SV41: $i,SV10: $i] :
( ( ( rinvR @ SV10 @ SV41 )
= $false )
| ( ( SV10 = SV28 )
= $false )
| ( ( rinvR @ SV28 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(289,plain,
! [SV29: $i,SV11: $i,SV42: $i] :
( ( ( rinvR @ SV42 @ SV11 )
= $false )
| ( ( SV11 = SV29 )
= $false )
| ( ( rinvR @ SV42 @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(290,plain,
! [SV30: $i,SV43: $i,SV12: $i] :
( ( ( rr @ SV12 @ SV43 )
= $false )
| ( ( SV12 = SV30 )
= $false )
| ( ( rr @ SV30 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(291,plain,
! [SV31: $i,SV13: $i,SV44: $i] :
( ( ( rr @ SV44 @ SV13 )
= $false )
| ( ( SV13 = SV31 )
= $false )
| ( ( rr @ SV44 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(292,plain,
! [SV34: $i,SV45: $i,SV16: $i] :
( ( ( rf @ SV16 @ SV45 )
= $false )
| ( ( rf @ SV16 @ SV34 )
= $false )
| ( ( SV34 = SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(293,plain,
! [SV17: $i,SV46: $i,SV35: $i] :
( ( ( rr @ SV35 @ SV46 )
= $false )
| ( ( rr @ SV17 @ SV35 )
= $false )
| ( ( rr @ SV17 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(294,plain,
! [SV47: $i] :
( ( ( xsd_integer @ SV47 )
= $false )
| ( ( xsd_string @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(295,plain,
! [SV49: $i,SV57: $i] :
( ( ( rf @ SV57 @ SV49 )
= $false )
| ( ( rinvF @ SV49 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(296,plain,
! [SV58: $i,SV50: $i] :
( ( ( rinvF @ SV50 @ SV58 )
= $false )
| ( ( rf @ SV58 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(297,plain,
! [SV61: $i,SV51: $i] :
( ( ( ~ ( rf @ SV51 @ SV61 )
| ( cc @ SV61 ) )
= $true )
| ( ( ~ ( cc @ SV51 ) )
= $true )
| ( ( cd @ SV51 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(298,plain,
! [SV62: $i] :
( ( ~ ( cd @ SV62 )
| ~ ( ~ ( rf @ SV62 @ ( sK1_Y @ SV62 ) )
| ~ ~ ( cc @ ( sK1_Y @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(299,plain,
! [SV63: $i] :
( ( ~ ( cd @ SV63 )
| ( cc @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(300,plain,
! [SV59: $i,SV52: $i] :
( ( ( rinvR @ SV52 @ SV59 )
= $false )
| ( ( rr @ SV59 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(301,plain,
! [SV53: $i,SV60: $i] :
( ( ( rr @ SV60 @ SV53 )
= $false )
| ( ( rinvR @ SV53 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(302,plain,
! [SV56: $i] :
( ( ( ~ ( ~ ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) )
| ~ ! [SY102: $i] :
( ~ ( cd @ SY102 )
| ~ ( rinvF @ ( sK4_Y @ SV56 ) @ SY102 ) ) ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(303,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ~ ( ~ ( cd @ ( sK3_Z @ SX1 @ SX0 ) )
| ~ ( rinvF @ SX1 @ ( sK3_Z @ SX1 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rinvF @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(304,plain,
! [SV64: $i] :
( ( ~ ( cUnsatisfiable @ SV64 )
| ~ ( cc @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(305,plain,
! [SV61: $i,SV51: $i] :
( ( ( ~ ( rf @ SV51 @ SV61 ) )
= $true )
| ( ( cc @ SV61 )
= $true )
| ( ( ~ ( cc @ SV51 ) )
= $true )
| ( ( cd @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(306,plain,
! [SV62: $i] :
( ( ( ~ ( cd @ SV62 ) )
= $true )
| ( ( ~ ( ~ ( rf @ SV62 @ ( sK1_Y @ SV62 ) )
| ~ ~ ( cc @ ( sK1_Y @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(307,plain,
! [SV63: $i] :
( ( ( ~ ( cd @ SV63 ) )
= $true )
| ( ( cc @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(308,plain,
! [SV56: $i] :
( ( ( ~ ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) )
| ~ ! [SY102: $i] :
( ~ ( cd @ SY102 )
| ~ ( rinvF @ ( sK4_Y @ SV56 ) @ SY102 ) ) )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(309,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ~ ( ~ ( cd @ ( sK3_Z @ SX1 @ SX0 ) )
| ~ ( rinvF @ SX1 @ ( sK3_Z @ SX1 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(310,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rinvF @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(311,plain,
! [SV64: $i] :
( ( ( ~ ( cUnsatisfiable @ SV64 ) )
= $true )
| ( ( ~ ( cc @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(312,plain,
! [SV61: $i,SV51: $i] :
( ( ( rf @ SV51 @ SV61 )
= $false )
| ( ( cc @ SV61 )
= $true )
| ( ( ~ ( cc @ SV51 ) )
= $true )
| ( ( cd @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(313,plain,
! [SV62: $i] :
( ( ( cd @ SV62 )
= $false )
| ( ( ~ ( ~ ( rf @ SV62 @ ( sK1_Y @ SV62 ) )
| ~ ~ ( cc @ ( sK1_Y @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(314,plain,
! [SV63: $i] :
( ( ( cd @ SV63 )
= $false )
| ( ( cc @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(315,plain,
! [SV56: $i] :
( ( ( ~ ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) ) )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(316,plain,
! [SV56: $i] :
( ( ( ~ ! [SY102: $i] :
( ~ ( cd @ SY102 )
| ~ ( rinvF @ ( sK4_Y @ SV56 ) @ SY102 ) ) )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(317,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ! [SX1: $i] :
( ~ ( rinvR @ SX0 @ SX1 )
| ~ ( ~ ( cd @ ( sK3_Z @ SX1 @ SX0 ) )
| ~ ( rinvF @ SX1 @ ( sK3_Z @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(318,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cd @ ( sK2_Y @ SX0 ) )
| ~ ( rinvF @ SX0 @ ( sK2_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(319,plain,
! [SV64: $i] :
( ( ( cUnsatisfiable @ SV64 )
= $false )
| ( ( ~ ( cc @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(320,plain,
! [SV61: $i,SV51: $i] :
( ( ( cc @ SV51 )
= $false )
| ( ( cc @ SV61 )
= $true )
| ( ( rf @ SV51 @ SV61 )
= $false )
| ( ( cd @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(321,plain,
! [SV62: $i] :
( ( ( ~ ( rf @ SV62 @ ( sK1_Y @ SV62 ) )
| ~ ~ ( cc @ ( sK1_Y @ SV62 ) ) )
= $false )
| ( ( cd @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(322,plain,
! [SV56: $i] :
( ( ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(323,plain,
! [SV56: $i] :
( ( ( ! [SY102: $i] :
( ~ ( cd @ SY102 )
| ~ ( rinvF @ ( sK4_Y @ SV56 ) @ SY102 ) ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(324,plain,
! [SV65: $i] :
( ( ~ ( cUnsatisfiable @ SV65 )
| ! [SY104: $i] :
( ~ ( rinvR @ SV65 @ SY104 )
| ~ ( ~ ( cd @ ( sK3_Z @ SY104 @ SV65 ) )
| ~ ( rinvF @ SY104 @ ( sK3_Z @ SY104 @ SV65 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(325,plain,
! [SV66: $i] :
( ( ~ ( cUnsatisfiable @ SV66 )
| ~ ( ~ ( cd @ ( sK2_Y @ SV66 ) )
| ~ ( rinvF @ SV66 @ ( sK2_Y @ SV66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(326,plain,
! [SV64: $i] :
( ( ( cc @ SV64 )
= $false )
| ( ( cUnsatisfiable @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(327,plain,
! [SV62: $i] :
( ( ( ~ ( rf @ SV62 @ ( sK1_Y @ SV62 ) ) )
= $false )
| ( ( cd @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(328,plain,
! [SV62: $i] :
( ( ( ~ ~ ( cc @ ( sK1_Y @ SV62 ) ) )
= $false )
| ( ( cd @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(329,plain,
! [SV56: $i,SV67: $i] :
( ( ( ~ ( cd @ SV67 )
| ~ ( rinvF @ SV56 @ SV67 ) )
= $true )
| ( ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(330,plain,
! [SV56: $i,SV68: $i] :
( ( ( ~ ( cd @ SV68 )
| ~ ( rinvF @ ( sK4_Y @ SV56 ) @ SV68 ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(331,plain,
! [SV65: $i] :
( ( ( ~ ( cUnsatisfiable @ SV65 ) )
= $true )
| ( ( ! [SY104: $i] :
( ~ ( rinvR @ SV65 @ SY104 )
| ~ ( ~ ( cd @ ( sK3_Z @ SY104 @ SV65 ) )
| ~ ( rinvF @ SY104 @ ( sK3_Z @ SY104 @ SV65 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(332,plain,
! [SV66: $i] :
( ( ( ~ ( cUnsatisfiable @ SV66 ) )
= $true )
| ( ( ~ ( ~ ( cd @ ( sK2_Y @ SV66 ) )
| ~ ( rinvF @ SV66 @ ( sK2_Y @ SV66 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(333,plain,
! [SV62: $i] :
( ( ( rf @ SV62 @ ( sK1_Y @ SV62 ) )
= $true )
| ( ( cd @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(334,plain,
! [SV62: $i] :
( ( ( ~ ( cc @ ( sK1_Y @ SV62 ) ) )
= $true )
| ( ( cd @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(335,plain,
! [SV56: $i,SV67: $i] :
( ( ( ~ ( cd @ SV67 ) )
= $true )
| ( ( ~ ( rinvF @ SV56 @ SV67 ) )
= $true )
| ( ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(336,plain,
! [SV56: $i,SV68: $i] :
( ( ( ~ ( cd @ SV68 ) )
= $true )
| ( ( ~ ( rinvF @ ( sK4_Y @ SV56 ) @ SV68 ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(337,plain,
! [SV65: $i] :
( ( ( cUnsatisfiable @ SV65 )
= $false )
| ( ( ! [SY104: $i] :
( ~ ( rinvR @ SV65 @ SY104 )
| ~ ( ~ ( cd @ ( sK3_Z @ SY104 @ SV65 ) )
| ~ ( rinvF @ SY104 @ ( sK3_Z @ SY104 @ SV65 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(338,plain,
! [SV66: $i] :
( ( ( cUnsatisfiable @ SV66 )
= $false )
| ( ( ~ ( ~ ( cd @ ( sK2_Y @ SV66 ) )
| ~ ( rinvF @ SV66 @ ( sK2_Y @ SV66 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(339,plain,
! [SV62: $i] :
( ( ( cc @ ( sK1_Y @ SV62 ) )
= $false )
| ( ( cd @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(340,plain,
! [SV56: $i,SV67: $i] :
( ( ( cd @ SV67 )
= $false )
| ( ( ~ ( rinvF @ SV56 @ SV67 ) )
= $true )
| ( ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(341,plain,
! [SV56: $i,SV68: $i] :
( ( ( cd @ SV68 )
= $false )
| ( ( ~ ( rinvF @ ( sK4_Y @ SV56 ) @ SV68 ) )
= $true )
| ( ( ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(342,plain,
! [SV69: $i,SV65: $i] :
( ( ( ~ ( rinvR @ SV65 @ SV69 )
| ~ ( ~ ( cd @ ( sK3_Z @ SV69 @ SV65 ) )
| ~ ( rinvF @ SV69 @ ( sK3_Z @ SV69 @ SV65 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(343,plain,
! [SV66: $i] :
( ( ( ~ ( cd @ ( sK2_Y @ SV66 ) )
| ~ ( rinvF @ SV66 @ ( sK2_Y @ SV66 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(344,plain,
! [SV67: $i,SV56: $i] :
( ( ( rinvF @ SV56 @ SV67 )
= $false )
| ( ( cd @ SV67 )
= $false )
| ( ( rinvR @ SV56 @ ( sK4_Y @ SV56 ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(345,plain,
! [SV68: $i,SV56: $i] :
( ( ( rinvF @ ( sK4_Y @ SV56 ) @ SV68 )
= $false )
| ( ( cd @ SV68 )
= $false )
| ( ( ! [SY103: $i] :
( ~ ( cd @ SY103 )
| ~ ( rinvF @ SV56 @ SY103 ) ) )
= $true )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(346,plain,
! [SV69: $i,SV65: $i] :
( ( ( ~ ( rinvR @ SV65 @ SV69 ) )
= $true )
| ( ( ~ ( ~ ( cd @ ( sK3_Z @ SV69 @ SV65 ) )
| ~ ( rinvF @ SV69 @ ( sK3_Z @ SV69 @ SV65 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(347,plain,
! [SV66: $i] :
( ( ( ~ ( cd @ ( sK2_Y @ SV66 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(348,plain,
! [SV66: $i] :
( ( ( ~ ( rinvF @ SV66 @ ( sK2_Y @ SV66 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(349,plain,
! [SV68: $i,SV56: $i,SV70: $i] :
( ( ( ~ ( cd @ SV70 )
| ~ ( rinvF @ SV56 @ SV70 ) )
= $true )
| ( ( cd @ SV68 )
= $false )
| ( ( rinvF @ ( sK4_Y @ SV56 ) @ SV68 )
= $false )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(350,plain,
! [SV69: $i,SV65: $i] :
( ( ( rinvR @ SV65 @ SV69 )
= $false )
| ( ( ~ ( ~ ( cd @ ( sK3_Z @ SV69 @ SV65 ) )
| ~ ( rinvF @ SV69 @ ( sK3_Z @ SV69 @ SV65 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(351,plain,
! [SV66: $i] :
( ( ( cd @ ( sK2_Y @ SV66 ) )
= $true )
| ( ( cUnsatisfiable @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(352,plain,
! [SV66: $i] :
( ( ( rinvF @ SV66 @ ( sK2_Y @ SV66 ) )
= $true )
| ( ( cUnsatisfiable @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(353,plain,
! [SV68: $i,SV56: $i,SV70: $i] :
( ( ( ~ ( cd @ SV70 ) )
= $true )
| ( ( ~ ( rinvF @ SV56 @ SV70 ) )
= $true )
| ( ( cd @ SV68 )
= $false )
| ( ( rinvF @ ( sK4_Y @ SV56 ) @ SV68 )
= $false )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(354,plain,
! [SV65: $i,SV69: $i] :
( ( ( ~ ( cd @ ( sK3_Z @ SV69 @ SV65 ) )
| ~ ( rinvF @ SV69 @ ( sK3_Z @ SV69 @ SV65 ) ) )
= $false )
| ( ( rinvR @ SV65 @ SV69 )
= $false )
| ( ( cUnsatisfiable @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(355,plain,
! [SV68: $i,SV56: $i,SV70: $i] :
( ( ( cd @ SV70 )
= $false )
| ( ( ~ ( rinvF @ SV56 @ SV70 ) )
= $true )
| ( ( cd @ SV68 )
= $false )
| ( ( rinvF @ ( sK4_Y @ SV56 ) @ SV68 )
= $false )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(356,plain,
! [SV65: $i,SV69: $i] :
( ( ( ~ ( cd @ ( sK3_Z @ SV69 @ SV65 ) ) )
= $false )
| ( ( rinvR @ SV65 @ SV69 )
= $false )
| ( ( cUnsatisfiable @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(357,plain,
! [SV65: $i,SV69: $i] :
( ( ( ~ ( rinvF @ SV69 @ ( sK3_Z @ SV69 @ SV65 ) ) )
= $false )
| ( ( rinvR @ SV65 @ SV69 )
= $false )
| ( ( cUnsatisfiable @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[354]) ).
thf(358,plain,
! [SV68: $i,SV70: $i,SV56: $i] :
( ( ( rinvF @ SV56 @ SV70 )
= $false )
| ( ( cd @ SV70 )
= $false )
| ( ( cd @ SV68 )
= $false )
| ( ( rinvF @ ( sK4_Y @ SV56 ) @ SV68 )
= $false )
| ( ( cc @ SV56 )
= $true )
| ( ( cUnsatisfiable @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(359,plain,
! [SV65: $i,SV69: $i] :
( ( ( cd @ ( sK3_Z @ SV69 @ SV65 ) )
= $true )
| ( ( rinvR @ SV65 @ SV69 )
= $false )
| ( ( cUnsatisfiable @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(360,plain,
! [SV65: $i,SV69: $i] :
( ( ( rinvF @ SV69 @ ( sK3_Z @ SV69 @ SV65 ) )
= $true )
| ( ( rinvR @ SV65 @ SV69 )
= $false )
| ( ( cUnsatisfiable @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(361,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[102,360,359,358,352,351,344,339,333,326,320,314,301,300,296,295,294,293,292,291,290,289,288,287,286,285,284,270,269,260,259,258,257,256,252,244,222,213,129]) ).
thf(362,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 07:31:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 25
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.37 .
% 0.13/0.37 (rf:0,axioms:25,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:27,loop_count:0,foatp_calls:0,translation:fof_full)..................
% 0.19/0.52
% 0.19/0.52 ********************************
% 0.19/0.52 * All subproblems solved! *
% 0.19/0.52 ********************************
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:25,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:361,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.56
% 0.19/0.56 %**** Beginning of derivation protocol ****
% 0.19/0.56 % SZS output start CNFRefutation
% See solution above
% 0.19/0.56
% 0.19/0.56 %**** End of derivation protocol ****
% 0.19/0.56 %**** no. of clauses in derivation: 362 ****
% 0.19/0.56 %**** clause counter: 361 ****
% 0.19/0.56
% 0.19/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:25,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:361,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------