TSTP Solution File: KRS063+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS063+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 : n032.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 03:14:21 EDT 2022
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 46
% Syntax : Number of formulae : 318 ( 192 unt; 18 typ; 0 def)
% Number of atoms : 1777 ( 749 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 2040 ( 595 ~; 563 |; 50 &; 798 @)
% ( 8 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 561 ( 0 ^ 559 !; 2 ?; 561 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cEUCountry,type,
cEUCountry: $i > $o ).
thf(tp_cEuroMP,type,
cEuroMP: $i > $o ).
thf(tp_cEuropeanCountry,type,
cEuropeanCountry: $i > $o ).
thf(tp_cPerson,type,
cPerson: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_iBE,type,
iBE: $i ).
thf(tp_iES,type,
iES: $i ).
thf(tp_iFR,type,
iFR: $i ).
thf(tp_iKinnock,type,
iKinnock: $i ).
thf(tp_iNL,type,
iNL: $i ).
thf(tp_iPT,type,
iPT: $i ).
thf(tp_iUK,type,
iUK: $i ).
thf(tp_rhasEuroMP,type,
rhasEuroMP: $i > $i > $o ).
thf(tp_risEuroMPFrom,type,
risEuroMPFrom: $i > $i > $o ).
thf(tp_sK1_Y,type,
sK1_Y: $i > $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
rhasEuroMP @ iUK @ iKinnock,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(2,axiom,
cEuropeanCountry @ iUK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
thf(3,axiom,
cEuropeanCountry @ iPT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
thf(4,axiom,
cEuropeanCountry @ iNL,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
thf(5,axiom,
~ ( cEuroMP @ iKinnock ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
thf(6,axiom,
cPerson @ iKinnock,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
thf(7,axiom,
cEuropeanCountry @ iFR,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(8,axiom,
cEuropeanCountry @ iES,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(9,axiom,
cEuropeanCountry @ iBE,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(10,axiom,
! [X: $i,Y: $i] :
( ( risEuroMPFrom @ X @ Y )
<=> ( rhasEuroMP @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(11,axiom,
! [X: $i,Y: $i] :
( ( rhasEuroMP @ X @ Y )
=> ( cEUCountry @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(12,axiom,
! [X: $i] :
( ( cEuroMP @ X )
<=> ? [Y: $i] :
( ( risEuroMPFrom @ X @ Y )
& ( cowlThing @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(13,axiom,
! [X: $i] :
( ( cEUCountry @ X )
<=> ( ( X = iPT )
| ( X = iBE )
| ( X = iNL )
| ( X = iES )
| ( X = iFR )
| ( X = iUK ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(14,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(15,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(16,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(17,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(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( risEuroMPFrom @ C @ A ) )
=> ( risEuroMPFrom @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',risEuroMPFrom_substitution_2) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( risEuroMPFrom @ A @ C ) )
=> ( risEuroMPFrom @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',risEuroMPFrom_substitution_1) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rhasEuroMP @ C @ A ) )
=> ( rhasEuroMP @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhasEuroMP_substitution_2) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rhasEuroMP @ A @ C ) )
=> ( rhasEuroMP @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rhasEuroMP_substitution_1) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cPerson @ A ) )
=> ( cPerson @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPerson_substitution_1) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cEuropeanCountry @ A ) )
=> ( cEuropeanCountry @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEuropeanCountry_substitution_1) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cEuroMP @ A ) )
=> ( cEuroMP @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEuroMP_substitution_1) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cEUCountry @ A ) )
=> ( cEUCountry @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEUCountry_substitution_1) ).
thf(28,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(29,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[28]) ).
thf(30,plain,
$false = $false,
inference(unfold_def,[status(thm)],[29]) ).
thf(31,plain,
( ( rhasEuroMP @ iUK @ iKinnock )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(32,plain,
( ( cEuropeanCountry @ iUK )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(33,plain,
( ( cEuropeanCountry @ iPT )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(34,plain,
( ( cEuropeanCountry @ iNL )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(35,plain,
( ( ~ ( cEuroMP @ iKinnock ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(36,plain,
( ( cPerson @ iKinnock )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(37,plain,
( ( cEuropeanCountry @ iFR )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(38,plain,
( ( cEuropeanCountry @ iES )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(39,plain,
( ( cEuropeanCountry @ iBE )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i] :
( ( risEuroMPFrom @ X @ Y )
<=> ( rhasEuroMP @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i] :
( ( rhasEuroMP @ X @ Y )
=> ( cEUCountry @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(42,plain,
( ( ! [X: $i] :
( ( cEuroMP @ X )
<=> ? [Y: $i] :
( ( risEuroMPFrom @ X @ Y )
& ( cowlThing @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(43,plain,
( ( ! [X: $i] :
( ( cEUCountry @ X )
<=> ( ( X = iPT )
| ( X = iBE )
| ( X = iNL )
| ( X = iES )
| ( X = iFR )
| ( X = iUK ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(44,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(45,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(48,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( risEuroMPFrom @ C @ A ) )
=> ( risEuroMPFrom @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(49,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( risEuroMPFrom @ A @ C ) )
=> ( risEuroMPFrom @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(50,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rhasEuroMP @ C @ A ) )
=> ( rhasEuroMP @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(51,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rhasEuroMP @ A @ C ) )
=> ( rhasEuroMP @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cPerson @ A ) )
=> ( cPerson @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cEuropeanCountry @ A ) )
=> ( cEuropeanCountry @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(56,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cEuroMP @ A ) )
=> ( cEuroMP @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(57,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cEUCountry @ A ) )
=> ( cEUCountry @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(58,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[30]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rhasEuroMP @ Y @ X )
| ( risEuroMPFrom @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( risEuroMPFrom @ X @ Y )
| ( rhasEuroMP @ Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(60,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rhasEuroMP @ X @ Y )
| ( cEUCountry @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(61,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
( ~ ( cowlThing @ Y )
| ~ ( risEuroMPFrom @ X @ Y ) )
| ( cEuroMP @ X ) )
& ! [X: $i] :
( ~ ( cEuroMP @ X )
| ( ( cowlThing @ ( sK1_Y @ X ) )
& ( risEuroMPFrom @ X @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(62,plain,
( ( ! [X: $i] :
( ~ ( cEUCountry @ X )
| ( X = iUK )
| ( X = iFR )
| ( X = iES )
| ( X = iNL )
| ( X = iPT )
| ( X = iBE ) )
& ! [X: $i] :
( ( X != iUK )
| ( cEUCountry @ X ) )
& ! [X: $i] :
( ( X != iFR )
| ( cEUCountry @ X ) )
& ! [X: $i] :
( ( X != iES )
| ( cEUCountry @ X ) )
& ! [X: $i] :
( ( X != iNL )
| ( cEUCountry @ X ) )
& ! [X: $i] :
( ( X != iPT )
| ( cEUCountry @ X ) )
& ! [X: $i] :
( ( X != iBE )
| ( cEUCountry @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(63,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(64,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(65,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(66,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(67,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( risEuroMPFrom @ C @ A )
| ( risEuroMPFrom @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(68,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( risEuroMPFrom @ A @ C )
| ( risEuroMPFrom @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(69,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rhasEuroMP @ C @ A )
| ( rhasEuroMP @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(70,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rhasEuroMP @ A @ C )
| ( rhasEuroMP @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(71,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cPerson @ A )
| ( cPerson @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cEuropeanCountry @ A )
| ( cEuropeanCountry @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cEuroMP @ A )
| ( cEuroMP @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cEUCountry @ A )
| ( cEUCountry @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cEUCountry @ A )
| ( cEUCountry @ B ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cEuroMP @ A )
| ( cEuroMP @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cEuropeanCountry @ A )
| ( cEuropeanCountry @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(80,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cPerson @ A )
| ( cPerson @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(83,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rhasEuroMP @ A @ C )
| ( rhasEuroMP @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(84,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rhasEuroMP @ C @ A )
| ( rhasEuroMP @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(85,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( risEuroMPFrom @ A @ C )
| ( risEuroMPFrom @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(86,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( risEuroMPFrom @ C @ A )
| ( risEuroMPFrom @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(87,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(88,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(89,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(90,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(91,plain,
( ( ! [X: $i] :
( ~ ( cEUCountry @ X )
| ( X = iUK )
| ( X = iFR )
| ( X = iES )
| ( X = iNL )
| ( X = iPT )
| ( X = iBE ) )
& ! [X: $i] :
( ( X != iUK )
| ( cEUCountry @ X ) )
& ! [X: $i] :
( ( X != iFR )
| ( cEUCountry @ X ) )
& ! [X: $i] :
( ( X != iES )
| ( cEUCountry @ X ) )
& ! [X: $i] :
( ( X != iNL )
| ( cEUCountry @ X ) )
& ! [X: $i] :
( ( X != iPT )
| ( cEUCountry @ X ) )
& ! [X: $i] :
( ( X != iBE )
| ( cEUCountry @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(92,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
( ~ ( cowlThing @ Y )
| ~ ( risEuroMPFrom @ X @ Y ) )
| ( cEuroMP @ X ) )
& ! [X: $i] :
( ~ ( cEuroMP @ X )
| ( ( cowlThing @ ( sK1_Y @ X ) )
& ( risEuroMPFrom @ X @ ( sK1_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(93,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
~ ( rhasEuroMP @ X @ Y )
| ( cEUCountry @ X ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(94,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rhasEuroMP @ Y @ X )
| ( risEuroMPFrom @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( risEuroMPFrom @ X @ Y )
| ( rhasEuroMP @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(95,plain,
( ( cEuropeanCountry @ iBE )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(96,plain,
( ( cEuropeanCountry @ iES )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(97,plain,
( ( cEuropeanCountry @ iFR )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(98,plain,
( ( cPerson @ iKinnock )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(99,plain,
( ( ~ ( cEuroMP @ iKinnock ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(100,plain,
( ( cEuropeanCountry @ iNL )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(101,plain,
( ( cEuropeanCountry @ iPT )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(102,plain,
( ( cEuropeanCountry @ iUK )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(103,plain,
( ( rhasEuroMP @ iUK @ iKinnock )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(104,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(105,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cowlThing @ SX1 )
| ~ ( risEuroMPFrom @ SX0 @ SX1 ) )
| ( cEuroMP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cEuroMP @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
| ~ ( risEuroMPFrom @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(106,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cEUCountry @ SX0 )
| ( SX0 = iUK )
| ( SX0 = iFR )
| ( SX0 = iES )
| ( SX0 = iNL )
| ( SX0 = iPT )
| ( SX0 = iBE ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iUK )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iFR )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(107,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(108,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rhasEuroMP @ SX1 @ SX0 )
| ( risEuroMPFrom @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( risEuroMPFrom @ SX0 @ SX1 )
| ( rhasEuroMP @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(109,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(110,plain,
! [SV1: $i] :
( ( ! [SY37: $i] :
( ( SV1 != SY37 )
| ~ ( cEUCountry @ SV1 )
| ( cEUCountry @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(111,plain,
! [SV2: $i] :
( ( ! [SY38: $i] :
( ( SV2 != SY38 )
| ~ ( cEuroMP @ SV2 )
| ( cEuroMP @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(112,plain,
! [SV3: $i] :
( ( ! [SY39: $i] :
( ( SV3 != SY39 )
| ~ ( cEuropeanCountry @ SV3 )
| ( cEuropeanCountry @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(113,plain,
! [SV4: $i] :
( ( ! [SY40: $i] :
( ( SV4 != SY40 )
| ~ ( cPerson @ SV4 )
| ( cPerson @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(114,plain,
! [SV5: $i] :
( ( ! [SY41: $i] :
( ( SV5 != SY41 )
| ~ ( cowlNothing @ SV5 )
| ( cowlNothing @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(115,plain,
! [SV6: $i] :
( ( ! [SY42: $i] :
( ( SV6 != SY42 )
| ~ ( cowlThing @ SV6 )
| ( cowlThing @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(116,plain,
! [SV7: $i] :
( ( ! [SY43: $i,SY44: $i] :
( ( SV7 != SY43 )
| ~ ( rhasEuroMP @ SV7 @ SY44 )
| ( rhasEuroMP @ SY43 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(117,plain,
! [SV8: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ( SV8 != SY45 )
| ~ ( rhasEuroMP @ SY46 @ SV8 )
| ( rhasEuroMP @ SY46 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(118,plain,
! [SV9: $i] :
( ( ! [SY47: $i,SY48: $i] :
( ( SV9 != SY47 )
| ~ ( risEuroMPFrom @ SV9 @ SY48 )
| ( risEuroMPFrom @ SY47 @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(119,plain,
! [SV10: $i] :
( ( ! [SY49: $i,SY50: $i] :
( ( SV10 != SY49 )
| ~ ( risEuroMPFrom @ SY50 @ SV10 )
| ( risEuroMPFrom @ SY50 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(120,plain,
! [SV11: $i] :
( ( ! [SY51: $i] :
( ( SV11 != SY51 )
| ~ ( xsd_integer @ SV11 )
| ( xsd_integer @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(121,plain,
! [SV12: $i] :
( ( ! [SY52: $i] :
( ( SV12 != SY52 )
| ~ ( xsd_string @ SV12 )
| ( xsd_string @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(122,plain,
! [SV13: $i] :
( ( ! [SY53: $i] :
~ ( rhasEuroMP @ SV13 @ SY53 )
| ( cEUCountry @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(123,plain,
( ( cEuroMP @ iKinnock )
= $false ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(124,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(125,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cowlThing @ SX1 )
| ~ ( risEuroMPFrom @ SX0 @ SX1 ) )
| ( cEuroMP @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cEuroMP @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
| ~ ( risEuroMPFrom @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(126,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cEUCountry @ SX0 )
| ( SX0 = iUK )
| ( SX0 = iFR )
| ( SX0 = iES )
| ( SX0 = iNL )
| ( SX0 = iPT )
| ( SX0 = iBE ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iUK )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iFR )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(127,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(128,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rhasEuroMP @ SX1 @ SX0 )
| ( risEuroMPFrom @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( risEuroMPFrom @ SX0 @ SX1 )
| ( rhasEuroMP @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(129,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(130,plain,
! [SV14: $i,SV1: $i] :
( ( ( SV1 != SV14 )
| ~ ( cEUCountry @ SV1 )
| ( cEUCountry @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(131,plain,
! [SV15: $i,SV2: $i] :
( ( ( SV2 != SV15 )
| ~ ( cEuroMP @ SV2 )
| ( cEuroMP @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(132,plain,
! [SV16: $i,SV3: $i] :
( ( ( SV3 != SV16 )
| ~ ( cEuropeanCountry @ SV3 )
| ( cEuropeanCountry @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(133,plain,
! [SV17: $i,SV4: $i] :
( ( ( SV4 != SV17 )
| ~ ( cPerson @ SV4 )
| ( cPerson @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(134,plain,
! [SV18: $i,SV5: $i] :
( ( ( SV5 != SV18 )
| ~ ( cowlNothing @ SV5 )
| ( cowlNothing @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(135,plain,
! [SV19: $i,SV6: $i] :
( ( ( SV6 != SV19 )
| ~ ( cowlThing @ SV6 )
| ( cowlThing @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(136,plain,
! [SV20: $i,SV7: $i] :
( ( ! [SY54: $i] :
( ( SV7 != SV20 )
| ~ ( rhasEuroMP @ SV7 @ SY54 )
| ( rhasEuroMP @ SV20 @ SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(137,plain,
! [SV21: $i,SV8: $i] :
( ( ! [SY55: $i] :
( ( SV8 != SV21 )
| ~ ( rhasEuroMP @ SY55 @ SV8 )
| ( rhasEuroMP @ SY55 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(138,plain,
! [SV22: $i,SV9: $i] :
( ( ! [SY56: $i] :
( ( SV9 != SV22 )
| ~ ( risEuroMPFrom @ SV9 @ SY56 )
| ( risEuroMPFrom @ SV22 @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(139,plain,
! [SV23: $i,SV10: $i] :
( ( ! [SY57: $i] :
( ( SV10 != SV23 )
| ~ ( risEuroMPFrom @ SY57 @ SV10 )
| ( risEuroMPFrom @ SY57 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(140,plain,
! [SV24: $i,SV11: $i] :
( ( ( SV11 != SV24 )
| ~ ( xsd_integer @ SV11 )
| ( xsd_integer @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(141,plain,
! [SV25: $i,SV12: $i] :
( ( ( SV12 != SV25 )
| ~ ( xsd_string @ SV12 )
| ( xsd_string @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(142,plain,
! [SV13: $i] :
( ( ( ! [SY53: $i] :
~ ( rhasEuroMP @ SV13 @ SY53 ) )
= $true )
| ( ( cEUCountry @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(143,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cowlThing @ SX1 )
| ~ ( risEuroMPFrom @ SX0 @ SX1 ) )
| ( cEuroMP @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(144,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cEuroMP @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
| ~ ( risEuroMPFrom @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(145,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cEUCountry @ SX0 )
| ( SX0 = iUK )
| ( SX0 = iFR )
| ( SX0 = iES )
| ( SX0 = iNL )
| ( SX0 = iPT )
| ( SX0 = iBE ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(146,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iUK )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iFR )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[126]) ).
thf(147,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(148,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(149,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rhasEuroMP @ SX1 @ SX0 )
| ( risEuroMPFrom @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(150,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( risEuroMPFrom @ SX0 @ SX1 )
| ( rhasEuroMP @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[128]) ).
thf(151,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(152,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(153,plain,
! [SV14: $i,SV1: $i] :
( ( ( ( SV1 != SV14 )
| ~ ( cEUCountry @ SV1 ) )
= $true )
| ( ( cEUCountry @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(154,plain,
! [SV15: $i,SV2: $i] :
( ( ( ( SV2 != SV15 )
| ~ ( cEuroMP @ SV2 ) )
= $true )
| ( ( cEuroMP @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(155,plain,
! [SV16: $i,SV3: $i] :
( ( ( ( SV3 != SV16 )
| ~ ( cEuropeanCountry @ SV3 ) )
= $true )
| ( ( cEuropeanCountry @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(156,plain,
! [SV17: $i,SV4: $i] :
( ( ( ( SV4 != SV17 )
| ~ ( cPerson @ SV4 ) )
= $true )
| ( ( cPerson @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(157,plain,
! [SV18: $i,SV5: $i] :
( ( ( ( SV5 != SV18 )
| ~ ( cowlNothing @ SV5 ) )
= $true )
| ( ( cowlNothing @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(158,plain,
! [SV19: $i,SV6: $i] :
( ( ( ( SV6 != SV19 )
| ~ ( cowlThing @ SV6 ) )
= $true )
| ( ( cowlThing @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(159,plain,
! [SV26: $i,SV20: $i,SV7: $i] :
( ( ( SV7 != SV20 )
| ~ ( rhasEuroMP @ SV7 @ SV26 )
| ( rhasEuroMP @ SV20 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(160,plain,
! [SV27: $i,SV21: $i,SV8: $i] :
( ( ( SV8 != SV21 )
| ~ ( rhasEuroMP @ SV27 @ SV8 )
| ( rhasEuroMP @ SV27 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(161,plain,
! [SV28: $i,SV22: $i,SV9: $i] :
( ( ( SV9 != SV22 )
| ~ ( risEuroMPFrom @ SV9 @ SV28 )
| ( risEuroMPFrom @ SV22 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(162,plain,
! [SV29: $i,SV23: $i,SV10: $i] :
( ( ( SV10 != SV23 )
| ~ ( risEuroMPFrom @ SV29 @ SV10 )
| ( risEuroMPFrom @ SV29 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(163,plain,
! [SV24: $i,SV11: $i] :
( ( ( ( SV11 != SV24 )
| ~ ( xsd_integer @ SV11 ) )
= $true )
| ( ( xsd_integer @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(164,plain,
! [SV25: $i,SV12: $i] :
( ( ( ( SV12 != SV25 )
| ~ ( xsd_string @ SV12 ) )
= $true )
| ( ( xsd_string @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(165,plain,
! [SV30: $i,SV13: $i] :
( ( ( ~ ( rhasEuroMP @ SV13 @ SV30 ) )
= $true )
| ( ( cEUCountry @ SV13 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(166,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cowlThing @ SX1 )
| ~ ( risEuroMPFrom @ SX0 @ SX1 ) )
| ( cEuroMP @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(167,plain,
( ( ! [SX0: $i] :
( ~ ( cEuroMP @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK1_Y @ SX0 ) )
| ~ ( risEuroMPFrom @ SX0 @ ( sK1_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(168,plain,
( ( ! [SX0: $i] :
( ~ ( cEUCountry @ SX0 )
| ( SX0 = iUK )
| ( SX0 = iFR )
| ( SX0 = iES )
| ( SX0 = iNL )
| ( SX0 = iPT )
| ( SX0 = iBE ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(169,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != iUK )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iFR )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(170,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(171,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(172,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rhasEuroMP @ SX1 @ SX0 )
| ( risEuroMPFrom @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(173,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( risEuroMPFrom @ SX0 @ SX1 )
| ( rhasEuroMP @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(174,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(175,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(176,plain,
! [SV14: $i,SV1: $i] :
( ( ( ( SV1 != SV14 ) )
= $true )
| ( ( ~ ( cEUCountry @ SV1 ) )
= $true )
| ( ( cEUCountry @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(177,plain,
! [SV15: $i,SV2: $i] :
( ( ( ( SV2 != SV15 ) )
= $true )
| ( ( ~ ( cEuroMP @ SV2 ) )
= $true )
| ( ( cEuroMP @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(178,plain,
! [SV16: $i,SV3: $i] :
( ( ( ( SV3 != SV16 ) )
= $true )
| ( ( ~ ( cEuropeanCountry @ SV3 ) )
= $true )
| ( ( cEuropeanCountry @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(179,plain,
! [SV17: $i,SV4: $i] :
( ( ( ( SV4 != SV17 ) )
= $true )
| ( ( ~ ( cPerson @ SV4 ) )
= $true )
| ( ( cPerson @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(180,plain,
! [SV18: $i,SV5: $i] :
( ( ( ( SV5 != SV18 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV5 ) )
= $true )
| ( ( cowlNothing @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(181,plain,
! [SV19: $i,SV6: $i] :
( ( ( ( SV6 != SV19 ) )
= $true )
| ( ( ~ ( cowlThing @ SV6 ) )
= $true )
| ( ( cowlThing @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(182,plain,
! [SV26: $i,SV20: $i,SV7: $i] :
( ( ( ( SV7 != SV20 )
| ~ ( rhasEuroMP @ SV7 @ SV26 ) )
= $true )
| ( ( rhasEuroMP @ SV20 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(183,plain,
! [SV27: $i,SV21: $i,SV8: $i] :
( ( ( ( SV8 != SV21 )
| ~ ( rhasEuroMP @ SV27 @ SV8 ) )
= $true )
| ( ( rhasEuroMP @ SV27 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(184,plain,
! [SV28: $i,SV22: $i,SV9: $i] :
( ( ( ( SV9 != SV22 )
| ~ ( risEuroMPFrom @ SV9 @ SV28 ) )
= $true )
| ( ( risEuroMPFrom @ SV22 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(185,plain,
! [SV29: $i,SV23: $i,SV10: $i] :
( ( ( ( SV10 != SV23 )
| ~ ( risEuroMPFrom @ SV29 @ SV10 ) )
= $true )
| ( ( risEuroMPFrom @ SV29 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(186,plain,
! [SV24: $i,SV11: $i] :
( ( ( ( SV11 != SV24 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV11 ) )
= $true )
| ( ( xsd_integer @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(187,plain,
! [SV25: $i,SV12: $i] :
( ( ( ( SV12 != SV25 ) )
= $true )
| ( ( ~ ( xsd_string @ SV12 ) )
= $true )
| ( ( xsd_string @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(188,plain,
! [SV30: $i,SV13: $i] :
( ( ( rhasEuroMP @ SV13 @ SV30 )
= $false )
| ( ( cEUCountry @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(189,plain,
! [SV31: $i] :
( ( ! [SY58: $i] :
( ~ ( cowlThing @ SY58 )
| ~ ( risEuroMPFrom @ SV31 @ SY58 ) )
| ( cEuroMP @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(190,plain,
! [SV32: $i] :
( ( ~ ( cEuroMP @ SV32 )
| ~ ( ~ ( cowlThing @ ( sK1_Y @ SV32 ) )
| ~ ( risEuroMPFrom @ SV32 @ ( sK1_Y @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(191,plain,
! [SV33: $i] :
( ( ~ ( cEUCountry @ SV33 )
| ( SV33 = iUK )
| ( SV33 = iFR )
| ( SV33 = iES )
| ( SV33 = iNL )
| ( SV33 = iPT )
| ( SV33 = iBE ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(192,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iUK )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iFR )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(193,plain,
! [SV34: $i] :
( ( ~ ( xsd_string @ SV34 )
| ~ ( xsd_integer @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(194,plain,
! [SV35: $i] :
( ( ( xsd_integer @ SV35 )
| ( xsd_string @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(195,plain,
! [SV36: $i] :
( ( ! [SY59: $i] :
( ~ ( rhasEuroMP @ SY59 @ SV36 )
| ( risEuroMPFrom @ SV36 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(196,plain,
! [SV37: $i] :
( ( ! [SY60: $i] :
( ~ ( risEuroMPFrom @ SV37 @ SY60 )
| ( rhasEuroMP @ SY60 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(197,plain,
! [SV38: $i] :
( ( cowlThing @ SV38 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(198,plain,
! [SV39: $i] :
( ( ~ ( cowlNothing @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(199,plain,
! [SV14: $i,SV1: $i] :
( ( ( SV1 = SV14 )
= $false )
| ( ( ~ ( cEUCountry @ SV1 ) )
= $true )
| ( ( cEUCountry @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(200,plain,
! [SV15: $i,SV2: $i] :
( ( ( SV2 = SV15 )
= $false )
| ( ( ~ ( cEuroMP @ SV2 ) )
= $true )
| ( ( cEuroMP @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(201,plain,
! [SV16: $i,SV3: $i] :
( ( ( SV3 = SV16 )
= $false )
| ( ( ~ ( cEuropeanCountry @ SV3 ) )
= $true )
| ( ( cEuropeanCountry @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(202,plain,
! [SV17: $i,SV4: $i] :
( ( ( SV4 = SV17 )
= $false )
| ( ( ~ ( cPerson @ SV4 ) )
= $true )
| ( ( cPerson @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(203,plain,
! [SV18: $i,SV5: $i] :
( ( ( SV5 = SV18 )
= $false )
| ( ( ~ ( cowlNothing @ SV5 ) )
= $true )
| ( ( cowlNothing @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(204,plain,
! [SV19: $i,SV6: $i] :
( ( ( SV6 = SV19 )
= $false )
| ( ( ~ ( cowlThing @ SV6 ) )
= $true )
| ( ( cowlThing @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(205,plain,
! [SV26: $i,SV20: $i,SV7: $i] :
( ( ( ( SV7 != SV20 ) )
= $true )
| ( ( ~ ( rhasEuroMP @ SV7 @ SV26 ) )
= $true )
| ( ( rhasEuroMP @ SV20 @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(206,plain,
! [SV27: $i,SV21: $i,SV8: $i] :
( ( ( ( SV8 != SV21 ) )
= $true )
| ( ( ~ ( rhasEuroMP @ SV27 @ SV8 ) )
= $true )
| ( ( rhasEuroMP @ SV27 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(207,plain,
! [SV28: $i,SV22: $i,SV9: $i] :
( ( ( ( SV9 != SV22 ) )
= $true )
| ( ( ~ ( risEuroMPFrom @ SV9 @ SV28 ) )
= $true )
| ( ( risEuroMPFrom @ SV22 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(208,plain,
! [SV29: $i,SV23: $i,SV10: $i] :
( ( ( ( SV10 != SV23 ) )
= $true )
| ( ( ~ ( risEuroMPFrom @ SV29 @ SV10 ) )
= $true )
| ( ( risEuroMPFrom @ SV29 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(209,plain,
! [SV24: $i,SV11: $i] :
( ( ( SV11 = SV24 )
= $false )
| ( ( ~ ( xsd_integer @ SV11 ) )
= $true )
| ( ( xsd_integer @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(210,plain,
! [SV25: $i,SV12: $i] :
( ( ( SV12 = SV25 )
= $false )
| ( ( ~ ( xsd_string @ SV12 ) )
= $true )
| ( ( xsd_string @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(211,plain,
! [SV31: $i] :
( ( ( ! [SY58: $i] :
( ~ ( cowlThing @ SY58 )
| ~ ( risEuroMPFrom @ SV31 @ SY58 ) ) )
= $true )
| ( ( cEuroMP @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(212,plain,
! [SV32: $i] :
( ( ( ~ ( cEuroMP @ SV32 ) )
= $true )
| ( ( ~ ( ~ ( cowlThing @ ( sK1_Y @ SV32 ) )
| ~ ( risEuroMPFrom @ SV32 @ ( sK1_Y @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(213,plain,
! [SV33: $i] :
( ( ( ~ ( cEUCountry @ SV33 ) )
= $true )
| ( ( ( SV33 = iUK )
| ( SV33 = iFR )
| ( SV33 = iES )
| ( SV33 = iNL )
| ( SV33 = iPT )
| ( SV33 = iBE ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(214,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iUK )
| ( cEUCountry @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(215,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iFR )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(216,plain,
! [SV34: $i] :
( ( ( ~ ( xsd_string @ SV34 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(217,plain,
! [SV35: $i] :
( ( ( xsd_integer @ SV35 )
= $true )
| ( ( xsd_string @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(218,plain,
! [SV36: $i,SV40: $i] :
( ( ~ ( rhasEuroMP @ SV40 @ SV36 )
| ( risEuroMPFrom @ SV36 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(219,plain,
! [SV41: $i,SV37: $i] :
( ( ~ ( risEuroMPFrom @ SV37 @ SV41 )
| ( rhasEuroMP @ SV41 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(220,plain,
! [SV39: $i] :
( ( cowlNothing @ SV39 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(221,plain,
! [SV14: $i,SV1: $i] :
( ( ( cEUCountry @ SV1 )
= $false )
| ( ( SV1 = SV14 )
= $false )
| ( ( cEUCountry @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(222,plain,
! [SV15: $i,SV2: $i] :
( ( ( cEuroMP @ SV2 )
= $false )
| ( ( SV2 = SV15 )
= $false )
| ( ( cEuroMP @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(223,plain,
! [SV16: $i,SV3: $i] :
( ( ( cEuropeanCountry @ SV3 )
= $false )
| ( ( SV3 = SV16 )
= $false )
| ( ( cEuropeanCountry @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(224,plain,
! [SV17: $i,SV4: $i] :
( ( ( cPerson @ SV4 )
= $false )
| ( ( SV4 = SV17 )
= $false )
| ( ( cPerson @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(225,plain,
! [SV18: $i,SV5: $i] :
( ( ( cowlNothing @ SV5 )
= $false )
| ( ( SV5 = SV18 )
= $false )
| ( ( cowlNothing @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(226,plain,
! [SV19: $i,SV6: $i] :
( ( ( cowlThing @ SV6 )
= $false )
| ( ( SV6 = SV19 )
= $false )
| ( ( cowlThing @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(227,plain,
! [SV26: $i,SV20: $i,SV7: $i] :
( ( ( SV7 = SV20 )
= $false )
| ( ( ~ ( rhasEuroMP @ SV7 @ SV26 ) )
= $true )
| ( ( rhasEuroMP @ SV20 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(228,plain,
! [SV27: $i,SV21: $i,SV8: $i] :
( ( ( SV8 = SV21 )
= $false )
| ( ( ~ ( rhasEuroMP @ SV27 @ SV8 ) )
= $true )
| ( ( rhasEuroMP @ SV27 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(229,plain,
! [SV28: $i,SV22: $i,SV9: $i] :
( ( ( SV9 = SV22 )
= $false )
| ( ( ~ ( risEuroMPFrom @ SV9 @ SV28 ) )
= $true )
| ( ( risEuroMPFrom @ SV22 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(230,plain,
! [SV29: $i,SV23: $i,SV10: $i] :
( ( ( SV10 = SV23 )
= $false )
| ( ( ~ ( risEuroMPFrom @ SV29 @ SV10 ) )
= $true )
| ( ( risEuroMPFrom @ SV29 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(231,plain,
! [SV24: $i,SV11: $i] :
( ( ( xsd_integer @ SV11 )
= $false )
| ( ( SV11 = SV24 )
= $false )
| ( ( xsd_integer @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(232,plain,
! [SV25: $i,SV12: $i] :
( ( ( xsd_string @ SV12 )
= $false )
| ( ( SV12 = SV25 )
= $false )
| ( ( xsd_string @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(233,plain,
! [SV31: $i,SV42: $i] :
( ( ( ~ ( cowlThing @ SV42 )
| ~ ( risEuroMPFrom @ SV31 @ SV42 ) )
= $true )
| ( ( cEuroMP @ SV31 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(234,plain,
! [SV32: $i] :
( ( ( cEuroMP @ SV32 )
= $false )
| ( ( ~ ( ~ ( cowlThing @ ( sK1_Y @ SV32 ) )
| ~ ( risEuroMPFrom @ SV32 @ ( sK1_Y @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(235,plain,
! [SV33: $i] :
( ( ( cEUCountry @ SV33 )
= $false )
| ( ( ( SV33 = iUK )
| ( SV33 = iFR )
| ( SV33 = iES )
| ( SV33 = iNL )
| ( SV33 = iPT )
| ( SV33 = iBE ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(236,plain,
( ( ! [SX0: $i] :
( ( SX0 != iUK )
| ( cEUCountry @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(237,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != iFR )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(238,plain,
! [SV34: $i] :
( ( ( xsd_string @ SV34 )
= $false )
| ( ( ~ ( xsd_integer @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(239,plain,
! [SV36: $i,SV40: $i] :
( ( ( ~ ( rhasEuroMP @ SV40 @ SV36 ) )
= $true )
| ( ( risEuroMPFrom @ SV36 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(240,plain,
! [SV41: $i,SV37: $i] :
( ( ( ~ ( risEuroMPFrom @ SV37 @ SV41 ) )
= $true )
| ( ( rhasEuroMP @ SV41 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(241,plain,
! [SV20: $i,SV26: $i,SV7: $i] :
( ( ( rhasEuroMP @ SV7 @ SV26 )
= $false )
| ( ( SV7 = SV20 )
= $false )
| ( ( rhasEuroMP @ SV20 @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(242,plain,
! [SV21: $i,SV8: $i,SV27: $i] :
( ( ( rhasEuroMP @ SV27 @ SV8 )
= $false )
| ( ( SV8 = SV21 )
= $false )
| ( ( rhasEuroMP @ SV27 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(243,plain,
! [SV22: $i,SV28: $i,SV9: $i] :
( ( ( risEuroMPFrom @ SV9 @ SV28 )
= $false )
| ( ( SV9 = SV22 )
= $false )
| ( ( risEuroMPFrom @ SV22 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(244,plain,
! [SV23: $i,SV10: $i,SV29: $i] :
( ( ( risEuroMPFrom @ SV29 @ SV10 )
= $false )
| ( ( SV10 = SV23 )
= $false )
| ( ( risEuroMPFrom @ SV29 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(245,plain,
! [SV31: $i,SV42: $i] :
( ( ( ~ ( cowlThing @ SV42 ) )
= $true )
| ( ( ~ ( risEuroMPFrom @ SV31 @ SV42 ) )
= $true )
| ( ( cEuroMP @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(246,plain,
! [SV32: $i] :
( ( ( ~ ( cowlThing @ ( sK1_Y @ SV32 ) )
| ~ ( risEuroMPFrom @ SV32 @ ( sK1_Y @ SV32 ) ) )
= $false )
| ( ( cEuroMP @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(247,plain,
! [SV33: $i] :
( ( ( SV33 = iUK )
= $true )
| ( ( ( SV33 = iFR )
| ( SV33 = iES )
| ( SV33 = iNL )
| ( SV33 = iPT )
| ( SV33 = iBE ) )
= $true )
| ( ( cEUCountry @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(248,plain,
! [SV43: $i] :
( ( ( SV43 != iUK )
| ( cEUCountry @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(249,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iFR )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(250,plain,
! [SV34: $i] :
( ( ( xsd_integer @ SV34 )
= $false )
| ( ( xsd_string @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(251,plain,
! [SV36: $i,SV40: $i] :
( ( ( rhasEuroMP @ SV40 @ SV36 )
= $false )
| ( ( risEuroMPFrom @ SV36 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(252,plain,
! [SV41: $i,SV37: $i] :
( ( ( risEuroMPFrom @ SV37 @ SV41 )
= $false )
| ( ( rhasEuroMP @ SV41 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(253,plain,
! [SV31: $i,SV42: $i] :
( ( ( cowlThing @ SV42 )
= $false )
| ( ( ~ ( risEuroMPFrom @ SV31 @ SV42 ) )
= $true )
| ( ( cEuroMP @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(254,plain,
! [SV32: $i] :
( ( ( ~ ( cowlThing @ ( sK1_Y @ SV32 ) ) )
= $false )
| ( ( cEuroMP @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(255,plain,
! [SV32: $i] :
( ( ( ~ ( risEuroMPFrom @ SV32 @ ( sK1_Y @ SV32 ) ) )
= $false )
| ( ( cEuroMP @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(256,plain,
! [SV33: $i] :
( ( ( SV33 = iFR )
= $true )
| ( ( ( SV33 = iES )
| ( SV33 = iNL )
| ( SV33 = iPT )
| ( SV33 = iBE ) )
= $true )
| ( ( SV33 = iUK )
= $true )
| ( ( cEUCountry @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(257,plain,
! [SV43: $i] :
( ( ( ( SV43 != iUK ) )
= $true )
| ( ( cEUCountry @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(258,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iFR )
| ( cEUCountry @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(259,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(260,plain,
! [SV42: $i,SV31: $i] :
( ( ( risEuroMPFrom @ SV31 @ SV42 )
= $false )
| ( ( cowlThing @ SV42 )
= $false )
| ( ( cEuroMP @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(261,plain,
! [SV32: $i] :
( ( ( cowlThing @ ( sK1_Y @ SV32 ) )
= $true )
| ( ( cEuroMP @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(262,plain,
! [SV32: $i] :
( ( ( risEuroMPFrom @ SV32 @ ( sK1_Y @ SV32 ) )
= $true )
| ( ( cEuroMP @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(263,plain,
! [SV33: $i] :
( ( ( SV33 = iES )
= $true )
| ( ( ( SV33 = iNL )
| ( SV33 = iPT )
| ( SV33 = iBE ) )
= $true )
| ( ( SV33 = iFR )
= $true )
| ( ( SV33 = iUK )
= $true )
| ( ( cEUCountry @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(264,plain,
! [SV43: $i] :
( ( ( SV43 = iUK )
= $false )
| ( ( cEUCountry @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(265,plain,
( ( ! [SX0: $i] :
( ( SX0 != iFR )
| ( cEUCountry @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(266,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(267,plain,
! [SV33: $i] :
( ( ( SV33 = iNL )
= $true )
| ( ( ( SV33 = iPT )
| ( SV33 = iBE ) )
= $true )
| ( ( SV33 = iES )
= $true )
| ( ( SV33 = iFR )
= $true )
| ( ( SV33 = iUK )
= $true )
| ( ( cEUCountry @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(268,plain,
! [SV44: $i] :
( ( ( SV44 != iFR )
| ( cEUCountry @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(269,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(270,plain,
! [SV33: $i] :
( ( ( SV33 = iPT )
= $true )
| ( ( SV33 = iBE )
= $true )
| ( ( SV33 = iNL )
= $true )
| ( ( SV33 = iES )
= $true )
| ( ( SV33 = iFR )
= $true )
| ( ( SV33 = iUK )
= $true )
| ( ( cEUCountry @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(271,plain,
! [SV44: $i] :
( ( ( ( SV44 != iFR ) )
= $true )
| ( ( cEUCountry @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(272,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(273,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(274,plain,
! [SV44: $i] :
( ( ( SV44 = iFR )
= $false )
| ( ( cEUCountry @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(275,plain,
( ( ! [SX0: $i] :
( ( SX0 != iES )
| ( cEUCountry @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(276,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(277,plain,
! [SV45: $i] :
( ( ( SV45 != iES )
| ( cEUCountry @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(278,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(279,plain,
! [SV45: $i] :
( ( ( ( SV45 != iES ) )
= $true )
| ( ( cEUCountry @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(280,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(281,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(282,plain,
! [SV45: $i] :
( ( ( SV45 = iES )
= $false )
| ( ( cEUCountry @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(283,plain,
( ( ! [SX0: $i] :
( ( SX0 != iNL )
| ( cEUCountry @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(284,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(285,plain,
! [SV46: $i] :
( ( ( SV46 != iNL )
| ( cEUCountry @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(286,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) )
| ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(287,plain,
! [SV46: $i] :
( ( ( ( SV46 != iNL ) )
= $true )
| ( ( cEUCountry @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(288,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(289,plain,
( ( ~ ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(290,plain,
! [SV46: $i] :
( ( ( SV46 = iNL )
= $false )
| ( ( cEUCountry @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(291,plain,
( ( ! [SX0: $i] :
( ( SX0 != iPT )
| ( cEUCountry @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(292,plain,
( ( ! [SX0: $i] :
( ( SX0 != iBE )
| ( cEUCountry @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(293,plain,
! [SV47: $i] :
( ( ( SV47 != iPT )
| ( cEUCountry @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(294,plain,
! [SV48: $i] :
( ( ( SV48 != iBE )
| ( cEUCountry @ SV48 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(295,plain,
! [SV47: $i] :
( ( ( ( SV47 != iPT ) )
= $true )
| ( ( cEUCountry @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(296,plain,
! [SV48: $i] :
( ( ( ( SV48 != iBE ) )
= $true )
| ( ( cEUCountry @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(297,plain,
! [SV47: $i] :
( ( ( SV47 = iPT )
= $false )
| ( ( cEUCountry @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(298,plain,
! [SV48: $i] :
( ( ( SV48 = iBE )
= $false )
| ( ( cEUCountry @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(299,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[95,298,297,290,282,274,270,264,262,261,260,252,251,250,244,243,242,241,232,231,226,225,224,223,222,221,220,217,197,188,124,123,103,102,101,100,98,97,96]) ).
thf(300,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS063+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue Jun 7 14:25:20 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.10/0.30
% 0.10/0.30 No.of.Axioms: 27
% 0.10/0.30
% 0.10/0.30 Length.of.Defs: 0
% 0.10/0.30
% 0.10/0.30 Contains.Choice.Funs: false
% 0.10/0.31 (rf:0,axioms:27,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:29,loop_count:0,foatp_calls:0,translation:fof_full)................
% 0.14/0.39
% 0.14/0.39 ********************************
% 0.14/0.39 * All subproblems solved! *
% 0.14/0.39 ********************************
% 0.14/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:27,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:299,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.40
% 0.14/0.40 %**** Beginning of derivation protocol ****
% 0.14/0.40 % SZS output start CNFRefutation
% See solution above
% 0.14/0.41
% 0.14/0.41 %**** End of derivation protocol ****
% 0.14/0.41 %**** no. of clauses in derivation: 300 ****
% 0.14/0.41 %**** clause counter: 299 ****
% 0.14/0.41
% 0.14/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:27,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:299,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------