TSTP Solution File: KRS111+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS111+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 : n021.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 03:14:40 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 56
% Syntax : Number of formulae : 481 ( 265 unt; 20 typ; 0 def)
% Number of atoms : 2828 ( 963 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 3760 ( 832 ~; 803 |; 86 &;1973 @)
% ( 14 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 20 usr; 3 con; 0-2 aty)
% Number of variables : 1122 ( 0 ^1112 !; 10 ?;1122 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cUnsatisfiable,type,
cUnsatisfiable: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_cp,type,
cp: $i > $o ).
thf(tp_cpxcomp,type,
cpxcomp: $i > $o ).
thf(tp_i2003_11_14_17_21_15425,type,
i2003_11_14_17_21_15425: $i ).
thf(tp_ra_Px1,type,
ra_Px1: $i > $i > $o ).
thf(tp_rf,type,
rf: $i > $i > $o ).
thf(tp_rf1,type,
rf1: $i > $i > $o ).
thf(tp_rinvF,type,
rinvF: $i > $i > $o ).
thf(tp_rinvF1,type,
rinvF1: $i > $i > $o ).
thf(tp_rinvS,type,
rinvS: $i > $i > $o ).
thf(tp_rs,type,
rs: $i > $i > $o ).
thf(tp_sK1_Y0,type,
sK1_Y0: $i > $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i > $i ).
thf(tp_sK4_Y,type,
sK4_Y: $i > $i ).
thf(tp_sK5_Y,type,
sK5_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] :
( ( rs @ X @ Y )
=> ( rf1 @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( rs @ X @ Y )
=> ( rf @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(3,axiom,
cUnsatisfiable @ i2003_11_14_17_21_15425,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(4,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rs @ X @ Y )
& ( rs @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( rinvS @ X @ Y )
<=> ( rs @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( rinvF1 @ X @ Y )
<=> ( rf1 @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( rinvF @ X @ Y )
<=> ( rf @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(8,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rf1 @ X @ Y )
& ( rf1 @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(9,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( rf @ X @ Y )
& ( rf @ X @ Z ) )
=> ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(10,axiom,
! [X: $i] :
( ( cpxcomp @ X )
<=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(11,axiom,
! [X: $i] :
( ( cp @ X )
<=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(12,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rf1 @ X @ Y )
& ( cpxcomp @ Y ) )
& ? [Y: $i] :
( ( rs @ X @ Y )
& ( cowlThing @ Y ) )
& ? [Y: $i] :
( ( rf @ X @ Y )
& ( cp @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(13,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(14,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rs @ C @ A ) )
=> ( rs @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rs_substitution_2) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rs @ A @ C ) )
=> ( rs @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rs_substitution_1) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvS @ C @ A ) )
=> ( rinvS @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvS_substitution_2) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvS @ A @ C ) )
=> ( rinvS @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvS_substitution_1) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF1 @ C @ A ) )
=> ( rinvF1 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvF1_substitution_2) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF1 @ A @ C ) )
=> ( rinvF1 @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvF1_substitution_1) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ C @ A ) )
=> ( rinvF @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvF_substitution_2) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ A @ C ) )
=> ( rinvF @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rinvF_substitution_1) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ C @ A ) )
=> ( rf1 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rf1_substitution_2) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ A @ C ) )
=> ( rf1 @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rf1_substitution_1) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ C @ A ) )
=> ( rf @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rf_substitution_2) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ A @ C ) )
=> ( rf @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rf_substitution_1) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( ra_Px1 @ C @ A ) )
=> ( ra_Px1 @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ra_Px1_substitution_2) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( ra_Px1 @ A @ C ) )
=> ( ra_Px1 @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ra_Px1_substitution_1) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cpxcomp @ A ) )
=> ( cpxcomp @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cpxcomp_substitution_1) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cp @ A ) )
=> ( cp @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp_substitution_1) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(36,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(37,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[36]) ).
thf(38,plain,
$false = $false,
inference(unfold_def,[status(thm)],[37]) ).
thf(39,plain,
( ( ! [X: $i,Y: $i] :
( ( rs @ X @ Y )
=> ( rf1 @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i] :
( ( rs @ X @ Y )
=> ( rf @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(41,plain,
( ( cUnsatisfiable @ i2003_11_14_17_21_15425 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rs @ X @ Y )
& ( rs @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(43,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvS @ X @ Y )
<=> ( rs @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(44,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvF1 @ X @ Y )
<=> ( rf1 @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(45,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvF @ X @ Y )
<=> ( rf @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rf1 @ X @ Y )
& ( rf1 @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rf @ X @ Y )
& ( rf @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(48,plain,
( ( ! [X: $i] :
( ( cpxcomp @ X )
<=> ? [Y0: $i] : ( ra_Px1 @ X @ Y0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(49,plain,
( ( ! [X: $i] :
( ( cp @ X )
<=> ~ ? [Y: $i] : ( ra_Px1 @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(50,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rf1 @ X @ Y )
& ( cpxcomp @ Y ) )
& ? [Y: $i] :
( ( rs @ X @ Y )
& ( cowlThing @ Y ) )
& ? [Y: $i] :
( ( rf @ X @ Y )
& ( cp @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(51,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(52,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(55,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rs @ C @ A ) )
=> ( rs @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(56,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rs @ A @ C ) )
=> ( rs @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(57,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvS @ C @ A ) )
=> ( rinvS @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(58,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvS @ A @ C ) )
=> ( rinvS @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(59,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF1 @ C @ A ) )
=> ( rinvF1 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(60,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF1 @ A @ C ) )
=> ( rinvF1 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(61,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ C @ A ) )
=> ( rinvF @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(62,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ A @ C ) )
=> ( rinvF @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(63,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ C @ A ) )
=> ( rf1 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(64,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ A @ C ) )
=> ( rf1 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(65,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ C @ A ) )
=> ( rf @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(66,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ A @ C ) )
=> ( rf @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(67,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( ra_Px1 @ C @ A ) )
=> ( ra_Px1 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(68,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( ra_Px1 @ A @ C ) )
=> ( ra_Px1 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(69,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cpxcomp @ A ) )
=> ( cpxcomp @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(70,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp @ A ) )
=> ( cp @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(71,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(74,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[38]) ).
thf(75,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rs @ X @ Y )
| ( rf1 @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(76,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rs @ X @ Y )
| ( rf @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(77,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rs @ X @ Y )
| ~ ( rs @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(78,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rinvS @ X @ Y )
| ( rs @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( rs @ Y @ X )
| ( rinvS @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(79,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rf1 @ Y @ X )
| ( rinvF1 @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( rinvF1 @ X @ Y )
| ( rf1 @ Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(80,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)],[45]) ).
thf(81,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf1 @ X @ Y )
| ~ ( rf1 @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(82,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf @ X @ Y )
| ~ ( rf @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(83,plain,
( ( ! [X: $i] :
( ! [Y0: $i] :
~ ( ra_Px1 @ X @ Y0 )
| ( cpxcomp @ X ) )
& ! [X: $i] :
( ~ ( cpxcomp @ X )
| ( ra_Px1 @ X @ ( sK1_Y0 @ X ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(84,plain,
( ( ! [X: $i] :
( ~ ( cp @ X )
| ! [Y: $i] :
~ ( ra_Px1 @ X @ Y ) )
& ! [X: $i] :
( ( ra_Px1 @ X @ ( sK2_Y @ X ) )
| ( cp @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(85,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
( ~ ( cpxcomp @ Y )
| ~ ( rf1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( cowlThing @ Y )
| ~ ( rs @ X @ Y ) )
| ! [Y: $i] :
( ~ ( cp @ Y )
| ~ ( rf @ X @ Y ) )
| ( cUnsatisfiable @ X ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cpxcomp @ ( sK5_Y @ X ) )
& ( rf1 @ X @ ( sK5_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cowlThing @ ( sK4_Y @ X ) )
& ( rs @ X @ ( sK4_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cp @ ( sK3_Y @ X ) )
& ( rf @ X @ ( sK3_Y @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(86,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(87,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(88,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(89,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(90,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rs @ C @ A )
| ( rs @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(91,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rs @ A @ C )
| ( rs @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(92,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvS @ C @ A )
| ( rinvS @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(93,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvS @ A @ C )
| ( rinvS @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(94,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF1 @ C @ A )
| ( rinvF1 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(95,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF1 @ A @ C )
| ( rinvF1 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(96,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF @ C @ A )
| ( rinvF @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(97,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF @ A @ C )
| ( rinvF @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(98,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf1 @ C @ A )
| ( rf1 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[63]) ).
thf(99,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf1 @ A @ C )
| ( rf1 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[64]) ).
thf(100,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf @ C @ A )
| ( rf @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[65]) ).
thf(101,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf @ A @ C )
| ( rf @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[66]) ).
thf(102,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( ra_Px1 @ C @ A )
| ( ra_Px1 @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[67]) ).
thf(103,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( ra_Px1 @ A @ C )
| ( ra_Px1 @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[68]) ).
thf(104,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cpxcomp @ A )
| ( cpxcomp @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[69]) ).
thf(105,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp @ A )
| ( cp @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(106,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[71]) ).
thf(107,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[72]) ).
thf(108,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cUnsatisfiable @ A )
| ( cUnsatisfiable @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[73]) ).
thf(109,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cUnsatisfiable @ A )
| ( cUnsatisfiable @ B ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(110,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(111,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(112,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cp @ A )
| ( cp @ B ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(113,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cpxcomp @ A )
| ( cpxcomp @ B ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(114,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( ra_Px1 @ A @ C )
| ( ra_Px1 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(115,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( ra_Px1 @ C @ A )
| ( ra_Px1 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(116,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf @ A @ C )
| ( rf @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(117,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf @ C @ A )
| ( rf @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(118,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf1 @ A @ C )
| ( rf1 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(119,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rf1 @ C @ A )
| ( rf1 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(120,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF @ A @ C )
| ( rinvF @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(121,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF @ C @ A )
| ( rinvF @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(122,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF1 @ A @ C )
| ( rinvF1 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(123,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvF1 @ C @ A )
| ( rinvF1 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(124,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvS @ A @ C )
| ( rinvS @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(125,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rinvS @ C @ A )
| ( rinvS @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(126,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rs @ A @ C )
| ( rs @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(127,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rs @ C @ A )
| ( rs @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(128,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(129,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(130,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(131,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(132,plain,
( ( ! [X: $i] :
( ! [Y: $i] :
( ~ ( cpxcomp @ Y )
| ~ ( rf1 @ X @ Y ) )
| ! [Y: $i] :
( ~ ( cowlThing @ Y )
| ~ ( rs @ X @ Y ) )
| ! [Y: $i] :
( ~ ( cp @ Y )
| ~ ( rf @ X @ Y ) )
| ( cUnsatisfiable @ X ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cpxcomp @ ( sK5_Y @ X ) )
& ( rf1 @ X @ ( sK5_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cowlThing @ ( sK4_Y @ X ) )
& ( rs @ X @ ( sK4_Y @ X ) ) ) )
& ! [X: $i] :
( ~ ( cUnsatisfiable @ X )
| ( ( cp @ ( sK3_Y @ X ) )
& ( rf @ X @ ( sK3_Y @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(133,plain,
( ( ! [X: $i] :
( ~ ( cp @ X )
| ! [Y: $i] :
~ ( ra_Px1 @ X @ Y ) )
& ! [X: $i] :
( ( ra_Px1 @ X @ ( sK2_Y @ X ) )
| ( cp @ X ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(134,plain,
( ( ! [X: $i] :
( ! [Y0: $i] :
~ ( ra_Px1 @ X @ Y0 )
| ( cpxcomp @ X ) )
& ! [X: $i] :
( ~ ( cpxcomp @ X )
| ( ra_Px1 @ X @ ( sK1_Y0 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(135,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf @ X @ Y )
| ~ ( rf @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(136,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rf1 @ X @ Y )
| ~ ( rf1 @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(137,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)],[80]) ).
thf(138,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rf1 @ Y @ X )
| ( rinvF1 @ X @ Y ) )
& ! [X: $i,Y: $i] :
( ~ ( rinvF1 @ X @ Y )
| ( rf1 @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(139,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rinvS @ X @ Y )
| ( rs @ Y @ X ) )
& ! [X: $i,Y: $i] :
( ~ ( rs @ Y @ X )
| ( rinvS @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(140,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( rs @ X @ Y )
| ~ ( rs @ X @ Z )
| ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(141,plain,
( ( cUnsatisfiable @ i2003_11_14_17_21_15425 )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(142,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rs @ X @ Y )
| ( rf @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(143,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rs @ X @ Y )
| ( rf1 @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(144,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(145,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvS @ SX0 @ SX1 )
| ( rs @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rs @ SX1 @ SX0 )
| ( rinvS @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(146,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rf1 @ SX1 @ SX0 )
| ( rinvF1 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvF1 @ SX0 @ SX1 )
| ( rf1 @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(147,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cpxcomp @ SX1 )
| ~ ( rf1 @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cowlThing @ SX1 )
| ~ ( rs @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp @ SX1 )
| ~ ( rf @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SX0 ) )
| ~ ( rf1 @ SX0 @ ( sK5_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp @ ( sK3_Y @ SX0 ) )
| ~ ( rf @ SX0 @ ( sK3_Y @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(148,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 )
| ( cpxcomp @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cpxcomp @ SX0 )
| ( ra_Px1 @ SX0 @ ( sK1_Y0 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(149,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cp @ SX0 )
| ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i] :
( ( ra_Px1 @ SX0 @ ( sK2_Y @ SX0 ) )
| ( cp @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(150,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(151,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)],[137]) ).
thf(152,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(153,plain,
! [SV1: $i] :
( ( ! [SY85: $i] :
( ( SV1 != SY85 )
| ~ ( cUnsatisfiable @ SV1 )
| ( cUnsatisfiable @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(154,plain,
! [SV2: $i] :
( ( ! [SY86: $i] :
( ( SV2 != SY86 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SY86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(155,plain,
! [SV3: $i] :
( ( ! [SY87: $i] :
( ( SV3 != SY87 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(156,plain,
! [SV4: $i] :
( ( ! [SY88: $i] :
( ( SV4 != SY88 )
| ~ ( cp @ SV4 )
| ( cp @ SY88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(157,plain,
! [SV5: $i] :
( ( ! [SY89: $i] :
( ( SV5 != SY89 )
| ~ ( cpxcomp @ SV5 )
| ( cpxcomp @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(158,plain,
! [SV6: $i] :
( ( ! [SY90: $i,SY91: $i] :
( ( SV6 != SY90 )
| ~ ( ra_Px1 @ SV6 @ SY91 )
| ( ra_Px1 @ SY90 @ SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(159,plain,
! [SV7: $i] :
( ( ! [SY92: $i,SY93: $i] :
( ( SV7 != SY92 )
| ~ ( ra_Px1 @ SY93 @ SV7 )
| ( ra_Px1 @ SY93 @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(160,plain,
! [SV8: $i] :
( ( ! [SY94: $i,SY95: $i] :
( ( SV8 != SY94 )
| ~ ( rf @ SV8 @ SY95 )
| ( rf @ SY94 @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(161,plain,
! [SV9: $i] :
( ( ! [SY96: $i,SY97: $i] :
( ( SV9 != SY96 )
| ~ ( rf @ SY97 @ SV9 )
| ( rf @ SY97 @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(162,plain,
! [SV10: $i] :
( ( ! [SY98: $i,SY99: $i] :
( ( SV10 != SY98 )
| ~ ( rf1 @ SV10 @ SY99 )
| ( rf1 @ SY98 @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(163,plain,
! [SV11: $i] :
( ( ! [SY100: $i,SY101: $i] :
( ( SV11 != SY100 )
| ~ ( rf1 @ SY101 @ SV11 )
| ( rf1 @ SY101 @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(164,plain,
! [SV12: $i] :
( ( ! [SY102: $i,SY103: $i] :
( ( SV12 != SY102 )
| ~ ( rinvF @ SV12 @ SY103 )
| ( rinvF @ SY102 @ SY103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(165,plain,
! [SV13: $i] :
( ( ! [SY104: $i,SY105: $i] :
( ( SV13 != SY104 )
| ~ ( rinvF @ SY105 @ SV13 )
| ( rinvF @ SY105 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(166,plain,
! [SV14: $i] :
( ( ! [SY106: $i,SY107: $i] :
( ( SV14 != SY106 )
| ~ ( rinvF1 @ SV14 @ SY107 )
| ( rinvF1 @ SY106 @ SY107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(167,plain,
! [SV15: $i] :
( ( ! [SY108: $i,SY109: $i] :
( ( SV15 != SY108 )
| ~ ( rinvF1 @ SY109 @ SV15 )
| ( rinvF1 @ SY109 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(168,plain,
! [SV16: $i] :
( ( ! [SY110: $i,SY111: $i] :
( ( SV16 != SY110 )
| ~ ( rinvS @ SV16 @ SY111 )
| ( rinvS @ SY110 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(169,plain,
! [SV17: $i] :
( ( ! [SY112: $i,SY113: $i] :
( ( SV17 != SY112 )
| ~ ( rinvS @ SY113 @ SV17 )
| ( rinvS @ SY113 @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(170,plain,
! [SV18: $i] :
( ( ! [SY114: $i,SY115: $i] :
( ( SV18 != SY114 )
| ~ ( rs @ SV18 @ SY115 )
| ( rs @ SY114 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(171,plain,
! [SV19: $i] :
( ( ! [SY116: $i,SY117: $i] :
( ( SV19 != SY116 )
| ~ ( rs @ SY117 @ SV19 )
| ( rs @ SY117 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(172,plain,
! [SV20: $i] :
( ( ! [SY118: $i] :
( ( SV20 != SY118 )
| ~ ( xsd_integer @ SV20 )
| ( xsd_integer @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(173,plain,
! [SV21: $i] :
( ( ! [SY119: $i] :
( ( SV21 != SY119 )
| ~ ( xsd_string @ SV21 )
| ( xsd_string @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(174,plain,
! [SV22: $i] :
( ( ! [SY120: $i,SY121: $i] :
( ~ ( rf @ SV22 @ SY120 )
| ~ ( rf @ SV22 @ SY121 )
| ( SY120 = SY121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(175,plain,
! [SV23: $i] :
( ( ! [SY122: $i,SY123: $i] :
( ~ ( rf1 @ SV23 @ SY122 )
| ~ ( rf1 @ SV23 @ SY123 )
| ( SY122 = SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(176,plain,
! [SV24: $i] :
( ( ! [SY124: $i,SY125: $i] :
( ~ ( rs @ SV24 @ SY124 )
| ~ ( rs @ SV24 @ SY125 )
| ( SY124 = SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(177,plain,
! [SV25: $i] :
( ( ! [SY126: $i] :
( ~ ( rs @ SV25 @ SY126 )
| ( rf @ SV25 @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(178,plain,
! [SV26: $i] :
( ( ! [SY127: $i] :
( ~ ( rs @ SV26 @ SY127 )
| ( rf1 @ SV26 @ SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(179,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(180,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvS @ SX0 @ SX1 )
| ( rs @ SX1 @ SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rs @ SX1 @ SX0 )
| ( rinvS @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(181,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rf1 @ SX1 @ SX0 )
| ( rinvF1 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvF1 @ SX0 @ SX1 )
| ( rf1 @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(182,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cpxcomp @ SX1 )
| ~ ( rf1 @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cowlThing @ SX1 )
| ~ ( rs @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp @ SX1 )
| ~ ( rf @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SX0 ) )
| ~ ( rf1 @ SX0 @ ( sK5_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp @ ( sK3_Y @ SX0 ) )
| ~ ( rf @ SX0 @ ( sK3_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(183,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 )
| ( cpxcomp @ SX0 ) )
| ~ ! [SX0: $i] :
( ~ ( cpxcomp @ SX0 )
| ( ra_Px1 @ SX0 @ ( sK1_Y0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(184,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp @ SX0 )
| ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 ) )
| ~ ! [SX0: $i] :
( ( ra_Px1 @ SX0 @ ( sK2_Y @ SX0 ) )
| ( cp @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(185,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(186,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)],[151]) ).
thf(187,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(188,plain,
! [SV27: $i,SV1: $i] :
( ( ( SV1 != SV27 )
| ~ ( cUnsatisfiable @ SV1 )
| ( cUnsatisfiable @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(189,plain,
! [SV28: $i,SV2: $i] :
( ( ( SV2 != SV28 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(190,plain,
! [SV29: $i,SV3: $i] :
( ( ( SV3 != SV29 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(191,plain,
! [SV30: $i,SV4: $i] :
( ( ( SV4 != SV30 )
| ~ ( cp @ SV4 )
| ( cp @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(192,plain,
! [SV31: $i,SV5: $i] :
( ( ( SV5 != SV31 )
| ~ ( cpxcomp @ SV5 )
| ( cpxcomp @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(193,plain,
! [SV32: $i,SV6: $i] :
( ( ! [SY128: $i] :
( ( SV6 != SV32 )
| ~ ( ra_Px1 @ SV6 @ SY128 )
| ( ra_Px1 @ SV32 @ SY128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(194,plain,
! [SV33: $i,SV7: $i] :
( ( ! [SY129: $i] :
( ( SV7 != SV33 )
| ~ ( ra_Px1 @ SY129 @ SV7 )
| ( ra_Px1 @ SY129 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(195,plain,
! [SV34: $i,SV8: $i] :
( ( ! [SY130: $i] :
( ( SV8 != SV34 )
| ~ ( rf @ SV8 @ SY130 )
| ( rf @ SV34 @ SY130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(196,plain,
! [SV35: $i,SV9: $i] :
( ( ! [SY131: $i] :
( ( SV9 != SV35 )
| ~ ( rf @ SY131 @ SV9 )
| ( rf @ SY131 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(197,plain,
! [SV36: $i,SV10: $i] :
( ( ! [SY132: $i] :
( ( SV10 != SV36 )
| ~ ( rf1 @ SV10 @ SY132 )
| ( rf1 @ SV36 @ SY132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(198,plain,
! [SV37: $i,SV11: $i] :
( ( ! [SY133: $i] :
( ( SV11 != SV37 )
| ~ ( rf1 @ SY133 @ SV11 )
| ( rf1 @ SY133 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(199,plain,
! [SV38: $i,SV12: $i] :
( ( ! [SY134: $i] :
( ( SV12 != SV38 )
| ~ ( rinvF @ SV12 @ SY134 )
| ( rinvF @ SV38 @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(200,plain,
! [SV39: $i,SV13: $i] :
( ( ! [SY135: $i] :
( ( SV13 != SV39 )
| ~ ( rinvF @ SY135 @ SV13 )
| ( rinvF @ SY135 @ SV39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(201,plain,
! [SV40: $i,SV14: $i] :
( ( ! [SY136: $i] :
( ( SV14 != SV40 )
| ~ ( rinvF1 @ SV14 @ SY136 )
| ( rinvF1 @ SV40 @ SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(202,plain,
! [SV41: $i,SV15: $i] :
( ( ! [SY137: $i] :
( ( SV15 != SV41 )
| ~ ( rinvF1 @ SY137 @ SV15 )
| ( rinvF1 @ SY137 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(203,plain,
! [SV42: $i,SV16: $i] :
( ( ! [SY138: $i] :
( ( SV16 != SV42 )
| ~ ( rinvS @ SV16 @ SY138 )
| ( rinvS @ SV42 @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(204,plain,
! [SV43: $i,SV17: $i] :
( ( ! [SY139: $i] :
( ( SV17 != SV43 )
| ~ ( rinvS @ SY139 @ SV17 )
| ( rinvS @ SY139 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(205,plain,
! [SV44: $i,SV18: $i] :
( ( ! [SY140: $i] :
( ( SV18 != SV44 )
| ~ ( rs @ SV18 @ SY140 )
| ( rs @ SV44 @ SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(206,plain,
! [SV45: $i,SV19: $i] :
( ( ! [SY141: $i] :
( ( SV19 != SV45 )
| ~ ( rs @ SY141 @ SV19 )
| ( rs @ SY141 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(207,plain,
! [SV46: $i,SV20: $i] :
( ( ( SV20 != SV46 )
| ~ ( xsd_integer @ SV20 )
| ( xsd_integer @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(208,plain,
! [SV47: $i,SV21: $i] :
( ( ( SV21 != SV47 )
| ~ ( xsd_string @ SV21 )
| ( xsd_string @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(209,plain,
! [SV48: $i,SV22: $i] :
( ( ! [SY142: $i] :
( ~ ( rf @ SV22 @ SV48 )
| ~ ( rf @ SV22 @ SY142 )
| ( SV48 = SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(210,plain,
! [SV49: $i,SV23: $i] :
( ( ! [SY143: $i] :
( ~ ( rf1 @ SV23 @ SV49 )
| ~ ( rf1 @ SV23 @ SY143 )
| ( SV49 = SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(211,plain,
! [SV50: $i,SV24: $i] :
( ( ! [SY144: $i] :
( ~ ( rs @ SV24 @ SV50 )
| ~ ( rs @ SV24 @ SY144 )
| ( SV50 = SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(212,plain,
! [SV51: $i,SV25: $i] :
( ( ~ ( rs @ SV25 @ SV51 )
| ( rf @ SV25 @ SV51 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(213,plain,
! [SV52: $i,SV26: $i] :
( ( ~ ( rs @ SV26 @ SV52 )
| ( rf1 @ SV26 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(214,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvS @ SX0 @ SX1 )
| ( rs @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(215,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rs @ SX1 @ SX0 )
| ( rinvS @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[180]) ).
thf(216,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rf1 @ SX1 @ SX0 )
| ( rinvF1 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(217,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvF1 @ SX0 @ SX1 )
| ( rf1 @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(218,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cpxcomp @ SX1 )
| ~ ( rf1 @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cowlThing @ SX1 )
| ~ ( rs @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp @ SX1 )
| ~ ( rf @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(219,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SX0 ) )
| ~ ( rf1 @ SX0 @ ( sK5_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp @ ( sK3_Y @ SX0 ) )
| ~ ( rf @ SX0 @ ( sK3_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(220,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 )
| ( cpxcomp @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(221,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cpxcomp @ SX0 )
| ( ra_Px1 @ SX0 @ ( sK1_Y0 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(222,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cp @ SX0 )
| ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(223,plain,
( ( ~ ! [SX0: $i] :
( ( ra_Px1 @ SX0 @ ( sK2_Y @ SX0 ) )
| ( cp @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(224,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(225,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(226,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rf @ SX1 @ SX0 )
| ( rinvF @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(227,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( rinvF @ SX0 @ SX1 )
| ( rf @ SX1 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(228,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(229,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(230,plain,
! [SV27: $i,SV1: $i] :
( ( ( ( SV1 != SV27 )
| ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(231,plain,
! [SV28: $i,SV2: $i] :
( ( ( ( SV2 != SV28 )
| ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(232,plain,
! [SV29: $i,SV3: $i] :
( ( ( ( SV3 != SV29 )
| ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(233,plain,
! [SV30: $i,SV4: $i] :
( ( ( ( SV4 != SV30 )
| ~ ( cp @ SV4 ) )
= $true )
| ( ( cp @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(234,plain,
! [SV31: $i,SV5: $i] :
( ( ( ( SV5 != SV31 )
| ~ ( cpxcomp @ SV5 ) )
= $true )
| ( ( cpxcomp @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(235,plain,
! [SV53: $i,SV32: $i,SV6: $i] :
( ( ( SV6 != SV32 )
| ~ ( ra_Px1 @ SV6 @ SV53 )
| ( ra_Px1 @ SV32 @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(236,plain,
! [SV54: $i,SV33: $i,SV7: $i] :
( ( ( SV7 != SV33 )
| ~ ( ra_Px1 @ SV54 @ SV7 )
| ( ra_Px1 @ SV54 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(237,plain,
! [SV55: $i,SV34: $i,SV8: $i] :
( ( ( SV8 != SV34 )
| ~ ( rf @ SV8 @ SV55 )
| ( rf @ SV34 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(238,plain,
! [SV56: $i,SV35: $i,SV9: $i] :
( ( ( SV9 != SV35 )
| ~ ( rf @ SV56 @ SV9 )
| ( rf @ SV56 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(239,plain,
! [SV57: $i,SV36: $i,SV10: $i] :
( ( ( SV10 != SV36 )
| ~ ( rf1 @ SV10 @ SV57 )
| ( rf1 @ SV36 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(240,plain,
! [SV58: $i,SV37: $i,SV11: $i] :
( ( ( SV11 != SV37 )
| ~ ( rf1 @ SV58 @ SV11 )
| ( rf1 @ SV58 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(241,plain,
! [SV59: $i,SV38: $i,SV12: $i] :
( ( ( SV12 != SV38 )
| ~ ( rinvF @ SV12 @ SV59 )
| ( rinvF @ SV38 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(242,plain,
! [SV60: $i,SV39: $i,SV13: $i] :
( ( ( SV13 != SV39 )
| ~ ( rinvF @ SV60 @ SV13 )
| ( rinvF @ SV60 @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(243,plain,
! [SV61: $i,SV40: $i,SV14: $i] :
( ( ( SV14 != SV40 )
| ~ ( rinvF1 @ SV14 @ SV61 )
| ( rinvF1 @ SV40 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(244,plain,
! [SV62: $i,SV41: $i,SV15: $i] :
( ( ( SV15 != SV41 )
| ~ ( rinvF1 @ SV62 @ SV15 )
| ( rinvF1 @ SV62 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(245,plain,
! [SV63: $i,SV42: $i,SV16: $i] :
( ( ( SV16 != SV42 )
| ~ ( rinvS @ SV16 @ SV63 )
| ( rinvS @ SV42 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(246,plain,
! [SV64: $i,SV43: $i,SV17: $i] :
( ( ( SV17 != SV43 )
| ~ ( rinvS @ SV64 @ SV17 )
| ( rinvS @ SV64 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(247,plain,
! [SV65: $i,SV44: $i,SV18: $i] :
( ( ( SV18 != SV44 )
| ~ ( rs @ SV18 @ SV65 )
| ( rs @ SV44 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(248,plain,
! [SV66: $i,SV45: $i,SV19: $i] :
( ( ( SV19 != SV45 )
| ~ ( rs @ SV66 @ SV19 )
| ( rs @ SV66 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(249,plain,
! [SV46: $i,SV20: $i] :
( ( ( ( SV20 != SV46 )
| ~ ( xsd_integer @ SV20 ) )
= $true )
| ( ( xsd_integer @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(250,plain,
! [SV47: $i,SV21: $i] :
( ( ( ( SV21 != SV47 )
| ~ ( xsd_string @ SV21 ) )
= $true )
| ( ( xsd_string @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(251,plain,
! [SV67: $i,SV48: $i,SV22: $i] :
( ( ~ ( rf @ SV22 @ SV48 )
| ~ ( rf @ SV22 @ SV67 )
| ( SV48 = SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(252,plain,
! [SV68: $i,SV49: $i,SV23: $i] :
( ( ~ ( rf1 @ SV23 @ SV49 )
| ~ ( rf1 @ SV23 @ SV68 )
| ( SV49 = SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(253,plain,
! [SV69: $i,SV50: $i,SV24: $i] :
( ( ~ ( rs @ SV24 @ SV50 )
| ~ ( rs @ SV24 @ SV69 )
| ( SV50 = SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(254,plain,
! [SV51: $i,SV25: $i] :
( ( ( ~ ( rs @ SV25 @ SV51 ) )
= $true )
| ( ( rf @ SV25 @ SV51 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(255,plain,
! [SV52: $i,SV26: $i] :
( ( ( ~ ( rs @ SV26 @ SV52 ) )
= $true )
| ( ( rf1 @ SV26 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(256,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rinvS @ SX0 @ SX1 )
| ( rs @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(257,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rs @ SX1 @ SX0 )
| ( rinvS @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(258,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rf1 @ SX1 @ SX0 )
| ( rinvF1 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(259,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rinvF1 @ SX0 @ SX1 )
| ( rf1 @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(260,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
( ~ ( cpxcomp @ SX1 )
| ~ ( rf1 @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cowlThing @ SX1 )
| ~ ( rs @ SX0 @ SX1 ) )
| ! [SX1: $i] :
( ~ ( cp @ SX1 )
| ~ ( rf @ SX0 @ SX1 ) )
| ( cUnsatisfiable @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(261,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SX0 ) )
| ~ ( rf1 @ SX0 @ ( sK5_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp @ ( sK3_Y @ SX0 ) )
| ~ ( rf @ SX0 @ ( sK3_Y @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(262,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 )
| ( cpxcomp @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(263,plain,
( ( ! [SX0: $i] :
( ~ ( cpxcomp @ SX0 )
| ( ra_Px1 @ SX0 @ ( sK1_Y0 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(264,plain,
( ( ! [SX0: $i] :
( ~ ( cp @ SX0 )
| ! [SX1: $i] :
~ ( ra_Px1 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[222]) ).
thf(265,plain,
( ( ! [SX0: $i] :
( ( ra_Px1 @ SX0 @ ( sK2_Y @ SX0 ) )
| ( cp @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(266,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(267,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(268,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rf @ SX1 @ SX0 )
| ( rinvF @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(269,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rinvF @ SX0 @ SX1 )
| ( rf @ SX1 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(270,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(271,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[229]) ).
thf(272,plain,
! [SV27: $i,SV1: $i] :
( ( ( ( SV1 != SV27 ) )
= $true )
| ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(273,plain,
! [SV28: $i,SV2: $i] :
( ( ( ( SV2 != SV28 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(274,plain,
! [SV29: $i,SV3: $i] :
( ( ( ( SV3 != SV29 ) )
= $true )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(275,plain,
! [SV30: $i,SV4: $i] :
( ( ( ( SV4 != SV30 ) )
= $true )
| ( ( ~ ( cp @ SV4 ) )
= $true )
| ( ( cp @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(276,plain,
! [SV31: $i,SV5: $i] :
( ( ( ( SV5 != SV31 ) )
= $true )
| ( ( ~ ( cpxcomp @ SV5 ) )
= $true )
| ( ( cpxcomp @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(277,plain,
! [SV53: $i,SV32: $i,SV6: $i] :
( ( ( ( SV6 != SV32 )
| ~ ( ra_Px1 @ SV6 @ SV53 ) )
= $true )
| ( ( ra_Px1 @ SV32 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(278,plain,
! [SV54: $i,SV33: $i,SV7: $i] :
( ( ( ( SV7 != SV33 )
| ~ ( ra_Px1 @ SV54 @ SV7 ) )
= $true )
| ( ( ra_Px1 @ SV54 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(279,plain,
! [SV55: $i,SV34: $i,SV8: $i] :
( ( ( ( SV8 != SV34 )
| ~ ( rf @ SV8 @ SV55 ) )
= $true )
| ( ( rf @ SV34 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(280,plain,
! [SV56: $i,SV35: $i,SV9: $i] :
( ( ( ( SV9 != SV35 )
| ~ ( rf @ SV56 @ SV9 ) )
= $true )
| ( ( rf @ SV56 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(281,plain,
! [SV57: $i,SV36: $i,SV10: $i] :
( ( ( ( SV10 != SV36 )
| ~ ( rf1 @ SV10 @ SV57 ) )
= $true )
| ( ( rf1 @ SV36 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(282,plain,
! [SV58: $i,SV37: $i,SV11: $i] :
( ( ( ( SV11 != SV37 )
| ~ ( rf1 @ SV58 @ SV11 ) )
= $true )
| ( ( rf1 @ SV58 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(283,plain,
! [SV59: $i,SV38: $i,SV12: $i] :
( ( ( ( SV12 != SV38 )
| ~ ( rinvF @ SV12 @ SV59 ) )
= $true )
| ( ( rinvF @ SV38 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(284,plain,
! [SV60: $i,SV39: $i,SV13: $i] :
( ( ( ( SV13 != SV39 )
| ~ ( rinvF @ SV60 @ SV13 ) )
= $true )
| ( ( rinvF @ SV60 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(285,plain,
! [SV61: $i,SV40: $i,SV14: $i] :
( ( ( ( SV14 != SV40 )
| ~ ( rinvF1 @ SV14 @ SV61 ) )
= $true )
| ( ( rinvF1 @ SV40 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(286,plain,
! [SV62: $i,SV41: $i,SV15: $i] :
( ( ( ( SV15 != SV41 )
| ~ ( rinvF1 @ SV62 @ SV15 ) )
= $true )
| ( ( rinvF1 @ SV62 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(287,plain,
! [SV63: $i,SV42: $i,SV16: $i] :
( ( ( ( SV16 != SV42 )
| ~ ( rinvS @ SV16 @ SV63 ) )
= $true )
| ( ( rinvS @ SV42 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(288,plain,
! [SV64: $i,SV43: $i,SV17: $i] :
( ( ( ( SV17 != SV43 )
| ~ ( rinvS @ SV64 @ SV17 ) )
= $true )
| ( ( rinvS @ SV64 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(289,plain,
! [SV65: $i,SV44: $i,SV18: $i] :
( ( ( ( SV18 != SV44 )
| ~ ( rs @ SV18 @ SV65 ) )
= $true )
| ( ( rs @ SV44 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(290,plain,
! [SV66: $i,SV45: $i,SV19: $i] :
( ( ( ( SV19 != SV45 )
| ~ ( rs @ SV66 @ SV19 ) )
= $true )
| ( ( rs @ SV66 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(291,plain,
! [SV46: $i,SV20: $i] :
( ( ( ( SV20 != SV46 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV20 ) )
= $true )
| ( ( xsd_integer @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(292,plain,
! [SV47: $i,SV21: $i] :
( ( ( ( SV21 != SV47 ) )
= $true )
| ( ( ~ ( xsd_string @ SV21 ) )
= $true )
| ( ( xsd_string @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(293,plain,
! [SV67: $i,SV48: $i,SV22: $i] :
( ( ( ~ ( rf @ SV22 @ SV48 )
| ~ ( rf @ SV22 @ SV67 ) )
= $true )
| ( ( SV48 = SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(294,plain,
! [SV68: $i,SV49: $i,SV23: $i] :
( ( ( ~ ( rf1 @ SV23 @ SV49 )
| ~ ( rf1 @ SV23 @ SV68 ) )
= $true )
| ( ( SV49 = SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(295,plain,
! [SV69: $i,SV50: $i,SV24: $i] :
( ( ( ~ ( rs @ SV24 @ SV50 )
| ~ ( rs @ SV24 @ SV69 ) )
= $true )
| ( ( SV50 = SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(296,plain,
! [SV51: $i,SV25: $i] :
( ( ( rs @ SV25 @ SV51 )
= $false )
| ( ( rf @ SV25 @ SV51 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(297,plain,
! [SV52: $i,SV26: $i] :
( ( ( rs @ SV26 @ SV52 )
= $false )
| ( ( rf1 @ SV26 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(298,plain,
! [SV70: $i] :
( ( ! [SY145: $i] :
( ~ ( rinvS @ SV70 @ SY145 )
| ( rs @ SY145 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(299,plain,
! [SV71: $i] :
( ( ! [SY146: $i] :
( ~ ( rs @ SY146 @ SV71 )
| ( rinvS @ SV71 @ SY146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(300,plain,
! [SV72: $i] :
( ( ! [SY147: $i] :
( ~ ( rf1 @ SY147 @ SV72 )
| ( rinvF1 @ SV72 @ SY147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(301,plain,
! [SV73: $i] :
( ( ! [SY148: $i] :
( ~ ( rinvF1 @ SV73 @ SY148 )
| ( rf1 @ SY148 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(302,plain,
! [SV74: $i] :
( ( ! [SY149: $i] :
( ~ ( cpxcomp @ SY149 )
| ~ ( rf1 @ SV74 @ SY149 ) )
| ! [SY150: $i] :
( ~ ( cowlThing @ SY150 )
| ~ ( rs @ SV74 @ SY150 ) )
| ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) )
| ( cUnsatisfiable @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(303,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SX0 ) )
| ~ ( rf1 @ SX0 @ ( sK5_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp @ ( sK3_Y @ SX0 ) )
| ~ ( rf @ SX0 @ ( sK3_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(304,plain,
! [SV75: $i] :
( ( ! [SY152: $i] :
~ ( ra_Px1 @ SV75 @ SY152 )
| ( cpxcomp @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(305,plain,
! [SV76: $i] :
( ( ~ ( cpxcomp @ SV76 )
| ( ra_Px1 @ SV76 @ ( sK1_Y0 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(306,plain,
! [SV77: $i] :
( ( ~ ( cp @ SV77 )
| ! [SY153: $i] :
~ ( ra_Px1 @ SV77 @ SY153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(307,plain,
! [SV78: $i] :
( ( ( ra_Px1 @ SV78 @ ( sK2_Y @ SV78 ) )
| ( cp @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(308,plain,
! [SV79: $i] :
( ( cowlThing @ SV79 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(309,plain,
! [SV80: $i] :
( ( ~ ( cowlNothing @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(310,plain,
! [SV81: $i] :
( ( ! [SY154: $i] :
( ~ ( rf @ SY154 @ SV81 )
| ( rinvF @ SV81 @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(311,plain,
! [SV82: $i] :
( ( ! [SY155: $i] :
( ~ ( rinvF @ SV82 @ SY155 )
| ( rf @ SY155 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(312,plain,
! [SV83: $i] :
( ( ~ ( xsd_string @ SV83 )
| ~ ( xsd_integer @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(313,plain,
! [SV84: $i] :
( ( ( xsd_integer @ SV84 )
| ( xsd_string @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(314,plain,
! [SV27: $i,SV1: $i] :
( ( ( SV1 = SV27 )
= $false )
| ( ( ~ ( cUnsatisfiable @ SV1 ) )
= $true )
| ( ( cUnsatisfiable @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(315,plain,
! [SV28: $i,SV2: $i] :
( ( ( SV2 = SV28 )
= $false )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(316,plain,
! [SV29: $i,SV3: $i] :
( ( ( SV3 = SV29 )
= $false )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(317,plain,
! [SV30: $i,SV4: $i] :
( ( ( SV4 = SV30 )
= $false )
| ( ( ~ ( cp @ SV4 ) )
= $true )
| ( ( cp @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(318,plain,
! [SV31: $i,SV5: $i] :
( ( ( SV5 = SV31 )
= $false )
| ( ( ~ ( cpxcomp @ SV5 ) )
= $true )
| ( ( cpxcomp @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(319,plain,
! [SV53: $i,SV32: $i,SV6: $i] :
( ( ( ( SV6 != SV32 ) )
= $true )
| ( ( ~ ( ra_Px1 @ SV6 @ SV53 ) )
= $true )
| ( ( ra_Px1 @ SV32 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(320,plain,
! [SV54: $i,SV33: $i,SV7: $i] :
( ( ( ( SV7 != SV33 ) )
= $true )
| ( ( ~ ( ra_Px1 @ SV54 @ SV7 ) )
= $true )
| ( ( ra_Px1 @ SV54 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(321,plain,
! [SV55: $i,SV34: $i,SV8: $i] :
( ( ( ( SV8 != SV34 ) )
= $true )
| ( ( ~ ( rf @ SV8 @ SV55 ) )
= $true )
| ( ( rf @ SV34 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(322,plain,
! [SV56: $i,SV35: $i,SV9: $i] :
( ( ( ( SV9 != SV35 ) )
= $true )
| ( ( ~ ( rf @ SV56 @ SV9 ) )
= $true )
| ( ( rf @ SV56 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(323,plain,
! [SV57: $i,SV36: $i,SV10: $i] :
( ( ( ( SV10 != SV36 ) )
= $true )
| ( ( ~ ( rf1 @ SV10 @ SV57 ) )
= $true )
| ( ( rf1 @ SV36 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(324,plain,
! [SV58: $i,SV37: $i,SV11: $i] :
( ( ( ( SV11 != SV37 ) )
= $true )
| ( ( ~ ( rf1 @ SV58 @ SV11 ) )
= $true )
| ( ( rf1 @ SV58 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(325,plain,
! [SV59: $i,SV38: $i,SV12: $i] :
( ( ( ( SV12 != SV38 ) )
= $true )
| ( ( ~ ( rinvF @ SV12 @ SV59 ) )
= $true )
| ( ( rinvF @ SV38 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(326,plain,
! [SV60: $i,SV39: $i,SV13: $i] :
( ( ( ( SV13 != SV39 ) )
= $true )
| ( ( ~ ( rinvF @ SV60 @ SV13 ) )
= $true )
| ( ( rinvF @ SV60 @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(327,plain,
! [SV61: $i,SV40: $i,SV14: $i] :
( ( ( ( SV14 != SV40 ) )
= $true )
| ( ( ~ ( rinvF1 @ SV14 @ SV61 ) )
= $true )
| ( ( rinvF1 @ SV40 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(328,plain,
! [SV62: $i,SV41: $i,SV15: $i] :
( ( ( ( SV15 != SV41 ) )
= $true )
| ( ( ~ ( rinvF1 @ SV62 @ SV15 ) )
= $true )
| ( ( rinvF1 @ SV62 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(329,plain,
! [SV63: $i,SV42: $i,SV16: $i] :
( ( ( ( SV16 != SV42 ) )
= $true )
| ( ( ~ ( rinvS @ SV16 @ SV63 ) )
= $true )
| ( ( rinvS @ SV42 @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(330,plain,
! [SV64: $i,SV43: $i,SV17: $i] :
( ( ( ( SV17 != SV43 ) )
= $true )
| ( ( ~ ( rinvS @ SV64 @ SV17 ) )
= $true )
| ( ( rinvS @ SV64 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(331,plain,
! [SV65: $i,SV44: $i,SV18: $i] :
( ( ( ( SV18 != SV44 ) )
= $true )
| ( ( ~ ( rs @ SV18 @ SV65 ) )
= $true )
| ( ( rs @ SV44 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(332,plain,
! [SV66: $i,SV45: $i,SV19: $i] :
( ( ( ( SV19 != SV45 ) )
= $true )
| ( ( ~ ( rs @ SV66 @ SV19 ) )
= $true )
| ( ( rs @ SV66 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(333,plain,
! [SV46: $i,SV20: $i] :
( ( ( SV20 = SV46 )
= $false )
| ( ( ~ ( xsd_integer @ SV20 ) )
= $true )
| ( ( xsd_integer @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(334,plain,
! [SV47: $i,SV21: $i] :
( ( ( SV21 = SV47 )
= $false )
| ( ( ~ ( xsd_string @ SV21 ) )
= $true )
| ( ( xsd_string @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(335,plain,
! [SV67: $i,SV48: $i,SV22: $i] :
( ( ( ~ ( rf @ SV22 @ SV48 ) )
= $true )
| ( ( ~ ( rf @ SV22 @ SV67 ) )
= $true )
| ( ( SV48 = SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(336,plain,
! [SV68: $i,SV49: $i,SV23: $i] :
( ( ( ~ ( rf1 @ SV23 @ SV49 ) )
= $true )
| ( ( ~ ( rf1 @ SV23 @ SV68 ) )
= $true )
| ( ( SV49 = SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(337,plain,
! [SV69: $i,SV50: $i,SV24: $i] :
( ( ( ~ ( rs @ SV24 @ SV50 ) )
= $true )
| ( ( ~ ( rs @ SV24 @ SV69 ) )
= $true )
| ( ( SV50 = SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(338,plain,
! [SV85: $i,SV70: $i] :
( ( ~ ( rinvS @ SV70 @ SV85 )
| ( rs @ SV85 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(339,plain,
! [SV71: $i,SV86: $i] :
( ( ~ ( rs @ SV86 @ SV71 )
| ( rinvS @ SV71 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(340,plain,
! [SV72: $i,SV87: $i] :
( ( ~ ( rf1 @ SV87 @ SV72 )
| ( rinvF1 @ SV72 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(341,plain,
! [SV88: $i,SV73: $i] :
( ( ~ ( rinvF1 @ SV73 @ SV88 )
| ( rf1 @ SV88 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(342,plain,
! [SV74: $i] :
( ( ( ! [SY149: $i] :
( ~ ( cpxcomp @ SY149 )
| ~ ( rf1 @ SV74 @ SY149 ) )
| ! [SY150: $i] :
( ~ ( cowlThing @ SY150 )
| ~ ( rs @ SV74 @ SY150 ) )
| ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(343,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SX0 ) )
| ~ ( rf1 @ SX0 @ ( sK5_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(344,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp @ ( sK3_Y @ SX0 ) )
| ~ ( rf @ SX0 @ ( sK3_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(345,plain,
! [SV75: $i] :
( ( ( ! [SY152: $i] :
~ ( ra_Px1 @ SV75 @ SY152 ) )
= $true )
| ( ( cpxcomp @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(346,plain,
! [SV76: $i] :
( ( ( ~ ( cpxcomp @ SV76 ) )
= $true )
| ( ( ra_Px1 @ SV76 @ ( sK1_Y0 @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(347,plain,
! [SV77: $i] :
( ( ( ~ ( cp @ SV77 ) )
= $true )
| ( ( ! [SY153: $i] :
~ ( ra_Px1 @ SV77 @ SY153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(348,plain,
! [SV78: $i] :
( ( ( ra_Px1 @ SV78 @ ( sK2_Y @ SV78 ) )
= $true )
| ( ( cp @ SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(349,plain,
! [SV80: $i] :
( ( cowlNothing @ SV80 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(350,plain,
! [SV81: $i,SV89: $i] :
( ( ~ ( rf @ SV89 @ SV81 )
| ( rinvF @ SV81 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(351,plain,
! [SV90: $i,SV82: $i] :
( ( ~ ( rinvF @ SV82 @ SV90 )
| ( rf @ SV90 @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(352,plain,
! [SV83: $i] :
( ( ( ~ ( xsd_string @ SV83 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(353,plain,
! [SV84: $i] :
( ( ( xsd_integer @ SV84 )
= $true )
| ( ( xsd_string @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(354,plain,
! [SV27: $i,SV1: $i] :
( ( ( cUnsatisfiable @ SV1 )
= $false )
| ( ( SV1 = SV27 )
= $false )
| ( ( cUnsatisfiable @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(355,plain,
! [SV28: $i,SV2: $i] :
( ( ( cowlNothing @ SV2 )
= $false )
| ( ( SV2 = SV28 )
= $false )
| ( ( cowlNothing @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(356,plain,
! [SV29: $i,SV3: $i] :
( ( ( cowlThing @ SV3 )
= $false )
| ( ( SV3 = SV29 )
= $false )
| ( ( cowlThing @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(357,plain,
! [SV30: $i,SV4: $i] :
( ( ( cp @ SV4 )
= $false )
| ( ( SV4 = SV30 )
= $false )
| ( ( cp @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(358,plain,
! [SV31: $i,SV5: $i] :
( ( ( cpxcomp @ SV5 )
= $false )
| ( ( SV5 = SV31 )
= $false )
| ( ( cpxcomp @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(359,plain,
! [SV53: $i,SV32: $i,SV6: $i] :
( ( ( SV6 = SV32 )
= $false )
| ( ( ~ ( ra_Px1 @ SV6 @ SV53 ) )
= $true )
| ( ( ra_Px1 @ SV32 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(360,plain,
! [SV54: $i,SV33: $i,SV7: $i] :
( ( ( SV7 = SV33 )
= $false )
| ( ( ~ ( ra_Px1 @ SV54 @ SV7 ) )
= $true )
| ( ( ra_Px1 @ SV54 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(361,plain,
! [SV55: $i,SV34: $i,SV8: $i] :
( ( ( SV8 = SV34 )
= $false )
| ( ( ~ ( rf @ SV8 @ SV55 ) )
= $true )
| ( ( rf @ SV34 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(362,plain,
! [SV56: $i,SV35: $i,SV9: $i] :
( ( ( SV9 = SV35 )
= $false )
| ( ( ~ ( rf @ SV56 @ SV9 ) )
= $true )
| ( ( rf @ SV56 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(363,plain,
! [SV57: $i,SV36: $i,SV10: $i] :
( ( ( SV10 = SV36 )
= $false )
| ( ( ~ ( rf1 @ SV10 @ SV57 ) )
= $true )
| ( ( rf1 @ SV36 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(364,plain,
! [SV58: $i,SV37: $i,SV11: $i] :
( ( ( SV11 = SV37 )
= $false )
| ( ( ~ ( rf1 @ SV58 @ SV11 ) )
= $true )
| ( ( rf1 @ SV58 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(365,plain,
! [SV59: $i,SV38: $i,SV12: $i] :
( ( ( SV12 = SV38 )
= $false )
| ( ( ~ ( rinvF @ SV12 @ SV59 ) )
= $true )
| ( ( rinvF @ SV38 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(366,plain,
! [SV60: $i,SV39: $i,SV13: $i] :
( ( ( SV13 = SV39 )
= $false )
| ( ( ~ ( rinvF @ SV60 @ SV13 ) )
= $true )
| ( ( rinvF @ SV60 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(367,plain,
! [SV61: $i,SV40: $i,SV14: $i] :
( ( ( SV14 = SV40 )
= $false )
| ( ( ~ ( rinvF1 @ SV14 @ SV61 ) )
= $true )
| ( ( rinvF1 @ SV40 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(368,plain,
! [SV62: $i,SV41: $i,SV15: $i] :
( ( ( SV15 = SV41 )
= $false )
| ( ( ~ ( rinvF1 @ SV62 @ SV15 ) )
= $true )
| ( ( rinvF1 @ SV62 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(369,plain,
! [SV63: $i,SV42: $i,SV16: $i] :
( ( ( SV16 = SV42 )
= $false )
| ( ( ~ ( rinvS @ SV16 @ SV63 ) )
= $true )
| ( ( rinvS @ SV42 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(370,plain,
! [SV64: $i,SV43: $i,SV17: $i] :
( ( ( SV17 = SV43 )
= $false )
| ( ( ~ ( rinvS @ SV64 @ SV17 ) )
= $true )
| ( ( rinvS @ SV64 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(371,plain,
! [SV65: $i,SV44: $i,SV18: $i] :
( ( ( SV18 = SV44 )
= $false )
| ( ( ~ ( rs @ SV18 @ SV65 ) )
= $true )
| ( ( rs @ SV44 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(372,plain,
! [SV66: $i,SV45: $i,SV19: $i] :
( ( ( SV19 = SV45 )
= $false )
| ( ( ~ ( rs @ SV66 @ SV19 ) )
= $true )
| ( ( rs @ SV66 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(373,plain,
! [SV46: $i,SV20: $i] :
( ( ( xsd_integer @ SV20 )
= $false )
| ( ( SV20 = SV46 )
= $false )
| ( ( xsd_integer @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(374,plain,
! [SV47: $i,SV21: $i] :
( ( ( xsd_string @ SV21 )
= $false )
| ( ( SV21 = SV47 )
= $false )
| ( ( xsd_string @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(375,plain,
! [SV67: $i,SV48: $i,SV22: $i] :
( ( ( rf @ SV22 @ SV48 )
= $false )
| ( ( ~ ( rf @ SV22 @ SV67 ) )
= $true )
| ( ( SV48 = SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(376,plain,
! [SV68: $i,SV49: $i,SV23: $i] :
( ( ( rf1 @ SV23 @ SV49 )
= $false )
| ( ( ~ ( rf1 @ SV23 @ SV68 ) )
= $true )
| ( ( SV49 = SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(377,plain,
! [SV69: $i,SV50: $i,SV24: $i] :
( ( ( rs @ SV24 @ SV50 )
= $false )
| ( ( ~ ( rs @ SV24 @ SV69 ) )
= $true )
| ( ( SV50 = SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(378,plain,
! [SV85: $i,SV70: $i] :
( ( ( ~ ( rinvS @ SV70 @ SV85 ) )
= $true )
| ( ( rs @ SV85 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(379,plain,
! [SV71: $i,SV86: $i] :
( ( ( ~ ( rs @ SV86 @ SV71 ) )
= $true )
| ( ( rinvS @ SV71 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(380,plain,
! [SV72: $i,SV87: $i] :
( ( ( ~ ( rf1 @ SV87 @ SV72 ) )
= $true )
| ( ( rinvF1 @ SV72 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(381,plain,
! [SV88: $i,SV73: $i] :
( ( ( ~ ( rinvF1 @ SV73 @ SV88 ) )
= $true )
| ( ( rf1 @ SV88 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(382,plain,
! [SV74: $i] :
( ( ( ! [SY149: $i] :
( ~ ( cpxcomp @ SY149 )
| ~ ( rf1 @ SV74 @ SY149 ) )
| ! [SY150: $i] :
( ~ ( cowlThing @ SY150 )
| ~ ( rs @ SV74 @ SY150 ) ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(383,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SX0 ) )
| ~ ( rf1 @ SX0 @ ( sK5_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(384,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cp @ ( sK3_Y @ SX0 ) )
| ~ ( rf @ SX0 @ ( sK3_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(385,plain,
! [SV91: $i,SV75: $i] :
( ( ( ~ ( ra_Px1 @ SV75 @ SV91 ) )
= $true )
| ( ( cpxcomp @ SV75 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(386,plain,
! [SV76: $i] :
( ( ( cpxcomp @ SV76 )
= $false )
| ( ( ra_Px1 @ SV76 @ ( sK1_Y0 @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(387,plain,
! [SV77: $i] :
( ( ( cp @ SV77 )
= $false )
| ( ( ! [SY153: $i] :
~ ( ra_Px1 @ SV77 @ SY153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(388,plain,
! [SV81: $i,SV89: $i] :
( ( ( ~ ( rf @ SV89 @ SV81 ) )
= $true )
| ( ( rinvF @ SV81 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(389,plain,
! [SV90: $i,SV82: $i] :
( ( ( ~ ( rinvF @ SV82 @ SV90 ) )
= $true )
| ( ( rf @ SV90 @ SV82 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(390,plain,
! [SV83: $i] :
( ( ( xsd_string @ SV83 )
= $false )
| ( ( ~ ( xsd_integer @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(391,plain,
! [SV32: $i,SV53: $i,SV6: $i] :
( ( ( ra_Px1 @ SV6 @ SV53 )
= $false )
| ( ( SV6 = SV32 )
= $false )
| ( ( ra_Px1 @ SV32 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(392,plain,
! [SV33: $i,SV7: $i,SV54: $i] :
( ( ( ra_Px1 @ SV54 @ SV7 )
= $false )
| ( ( SV7 = SV33 )
= $false )
| ( ( ra_Px1 @ SV54 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(393,plain,
! [SV34: $i,SV55: $i,SV8: $i] :
( ( ( rf @ SV8 @ SV55 )
= $false )
| ( ( SV8 = SV34 )
= $false )
| ( ( rf @ SV34 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(394,plain,
! [SV35: $i,SV9: $i,SV56: $i] :
( ( ( rf @ SV56 @ SV9 )
= $false )
| ( ( SV9 = SV35 )
= $false )
| ( ( rf @ SV56 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(395,plain,
! [SV36: $i,SV57: $i,SV10: $i] :
( ( ( rf1 @ SV10 @ SV57 )
= $false )
| ( ( SV10 = SV36 )
= $false )
| ( ( rf1 @ SV36 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(396,plain,
! [SV37: $i,SV11: $i,SV58: $i] :
( ( ( rf1 @ SV58 @ SV11 )
= $false )
| ( ( SV11 = SV37 )
= $false )
| ( ( rf1 @ SV58 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(397,plain,
! [SV38: $i,SV59: $i,SV12: $i] :
( ( ( rinvF @ SV12 @ SV59 )
= $false )
| ( ( SV12 = SV38 )
= $false )
| ( ( rinvF @ SV38 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(398,plain,
! [SV39: $i,SV13: $i,SV60: $i] :
( ( ( rinvF @ SV60 @ SV13 )
= $false )
| ( ( SV13 = SV39 )
= $false )
| ( ( rinvF @ SV60 @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(399,plain,
! [SV40: $i,SV61: $i,SV14: $i] :
( ( ( rinvF1 @ SV14 @ SV61 )
= $false )
| ( ( SV14 = SV40 )
= $false )
| ( ( rinvF1 @ SV40 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(400,plain,
! [SV41: $i,SV15: $i,SV62: $i] :
( ( ( rinvF1 @ SV62 @ SV15 )
= $false )
| ( ( SV15 = SV41 )
= $false )
| ( ( rinvF1 @ SV62 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(401,plain,
! [SV42: $i,SV63: $i,SV16: $i] :
( ( ( rinvS @ SV16 @ SV63 )
= $false )
| ( ( SV16 = SV42 )
= $false )
| ( ( rinvS @ SV42 @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(402,plain,
! [SV43: $i,SV17: $i,SV64: $i] :
( ( ( rinvS @ SV64 @ SV17 )
= $false )
| ( ( SV17 = SV43 )
= $false )
| ( ( rinvS @ SV64 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(403,plain,
! [SV44: $i,SV65: $i,SV18: $i] :
( ( ( rs @ SV18 @ SV65 )
= $false )
| ( ( SV18 = SV44 )
= $false )
| ( ( rs @ SV44 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(404,plain,
! [SV45: $i,SV19: $i,SV66: $i] :
( ( ( rs @ SV66 @ SV19 )
= $false )
| ( ( SV19 = SV45 )
= $false )
| ( ( rs @ SV66 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(405,plain,
! [SV48: $i,SV67: $i,SV22: $i] :
( ( ( rf @ SV22 @ SV67 )
= $false )
| ( ( rf @ SV22 @ SV48 )
= $false )
| ( ( SV48 = SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(406,plain,
! [SV49: $i,SV68: $i,SV23: $i] :
( ( ( rf1 @ SV23 @ SV68 )
= $false )
| ( ( rf1 @ SV23 @ SV49 )
= $false )
| ( ( SV49 = SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(407,plain,
! [SV50: $i,SV69: $i,SV24: $i] :
( ( ( rs @ SV24 @ SV69 )
= $false )
| ( ( rs @ SV24 @ SV50 )
= $false )
| ( ( SV50 = SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(408,plain,
! [SV85: $i,SV70: $i] :
( ( ( rinvS @ SV70 @ SV85 )
= $false )
| ( ( rs @ SV85 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(409,plain,
! [SV71: $i,SV86: $i] :
( ( ( rs @ SV86 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(410,plain,
! [SV72: $i,SV87: $i] :
( ( ( rf1 @ SV87 @ SV72 )
= $false )
| ( ( rinvF1 @ SV72 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(411,plain,
! [SV88: $i,SV73: $i] :
( ( ( rinvF1 @ SV73 @ SV88 )
= $false )
| ( ( rf1 @ SV88 @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(412,plain,
! [SV74: $i] :
( ( ( ! [SY149: $i] :
( ~ ( cpxcomp @ SY149 )
| ~ ( rf1 @ SV74 @ SY149 ) ) )
= $true )
| ( ( ! [SY150: $i] :
( ~ ( cowlThing @ SY150 )
| ~ ( rs @ SV74 @ SY150 ) ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(413,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SX0 ) )
| ~ ( rf1 @ SX0 @ ( sK5_Y @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(414,plain,
! [SV92: $i] :
( ( ~ ( cUnsatisfiable @ SV92 )
| ~ ( ~ ( cp @ ( sK3_Y @ SV92 ) )
| ~ ( rf @ SV92 @ ( sK3_Y @ SV92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(415,plain,
! [SV91: $i,SV75: $i] :
( ( ( ra_Px1 @ SV75 @ SV91 )
= $false )
| ( ( cpxcomp @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(416,plain,
! [SV93: $i,SV77: $i] :
( ( ( ~ ( ra_Px1 @ SV77 @ SV93 ) )
= $true )
| ( ( cp @ SV77 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(417,plain,
! [SV81: $i,SV89: $i] :
( ( ( rf @ SV89 @ SV81 )
= $false )
| ( ( rinvF @ SV81 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(418,plain,
! [SV90: $i,SV82: $i] :
( ( ( rinvF @ SV82 @ SV90 )
= $false )
| ( ( rf @ SV90 @ SV82 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(419,plain,
! [SV83: $i] :
( ( ( xsd_integer @ SV83 )
= $false )
| ( ( xsd_string @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(420,plain,
! [SV74: $i,SV94: $i] :
( ( ( ~ ( cpxcomp @ SV94 )
| ~ ( rf1 @ SV74 @ SV94 ) )
= $true )
| ( ( ! [SY150: $i] :
( ~ ( cowlThing @ SY150 )
| ~ ( rs @ SV74 @ SY150 ) ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(421,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SX0 ) )
| ~ ( rf1 @ SX0 @ ( sK5_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(422,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(423,plain,
! [SV92: $i] :
( ( ( ~ ( cUnsatisfiable @ SV92 ) )
= $true )
| ( ( ~ ( ~ ( cp @ ( sK3_Y @ SV92 ) )
| ~ ( rf @ SV92 @ ( sK3_Y @ SV92 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(424,plain,
! [SV93: $i,SV77: $i] :
( ( ( ra_Px1 @ SV77 @ SV93 )
= $false )
| ( ( cp @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(425,plain,
! [SV74: $i,SV94: $i] :
( ( ( ~ ( cpxcomp @ SV94 ) )
= $true )
| ( ( ~ ( rf1 @ SV74 @ SV94 ) )
= $true )
| ( ( ! [SY150: $i] :
( ~ ( cowlThing @ SY150 )
| ~ ( rs @ SV74 @ SY150 ) ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(426,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SX0 ) )
| ~ ( rf1 @ SX0 @ ( sK5_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(427,plain,
( ( ! [SX0: $i] :
( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SX0 ) )
| ~ ( rs @ SX0 @ ( sK4_Y @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(428,plain,
! [SV92: $i] :
( ( ( cUnsatisfiable @ SV92 )
= $false )
| ( ( ~ ( ~ ( cp @ ( sK3_Y @ SV92 ) )
| ~ ( rf @ SV92 @ ( sK3_Y @ SV92 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(429,plain,
! [SV74: $i,SV94: $i] :
( ( ( cpxcomp @ SV94 )
= $false )
| ( ( ~ ( rf1 @ SV74 @ SV94 ) )
= $true )
| ( ( ! [SY150: $i] :
( ~ ( cowlThing @ SY150 )
| ~ ( rs @ SV74 @ SY150 ) ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(430,plain,
! [SV95: $i] :
( ( ~ ( cUnsatisfiable @ SV95 )
| ~ ( ~ ( cpxcomp @ ( sK5_Y @ SV95 ) )
| ~ ( rf1 @ SV95 @ ( sK5_Y @ SV95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(431,plain,
! [SV96: $i] :
( ( ~ ( cUnsatisfiable @ SV96 )
| ~ ( ~ ( cowlThing @ ( sK4_Y @ SV96 ) )
| ~ ( rs @ SV96 @ ( sK4_Y @ SV96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(432,plain,
! [SV92: $i] :
( ( ( ~ ( cp @ ( sK3_Y @ SV92 ) )
| ~ ( rf @ SV92 @ ( sK3_Y @ SV92 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(433,plain,
! [SV94: $i,SV74: $i] :
( ( ( rf1 @ SV74 @ SV94 )
= $false )
| ( ( cpxcomp @ SV94 )
= $false )
| ( ( ! [SY150: $i] :
( ~ ( cowlThing @ SY150 )
| ~ ( rs @ SV74 @ SY150 ) ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(434,plain,
! [SV95: $i] :
( ( ( ~ ( cUnsatisfiable @ SV95 ) )
= $true )
| ( ( ~ ( ~ ( cpxcomp @ ( sK5_Y @ SV95 ) )
| ~ ( rf1 @ SV95 @ ( sK5_Y @ SV95 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(435,plain,
! [SV96: $i] :
( ( ( ~ ( cUnsatisfiable @ SV96 ) )
= $true )
| ( ( ~ ( ~ ( cowlThing @ ( sK4_Y @ SV96 ) )
| ~ ( rs @ SV96 @ ( sK4_Y @ SV96 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(436,plain,
! [SV92: $i] :
( ( ( ~ ( cp @ ( sK3_Y @ SV92 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(437,plain,
! [SV92: $i] :
( ( ( ~ ( rf @ SV92 @ ( sK3_Y @ SV92 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(438,plain,
! [SV94: $i,SV74: $i,SV97: $i] :
( ( ( ~ ( cowlThing @ SV97 )
| ~ ( rs @ SV74 @ SV97 ) )
= $true )
| ( ( cpxcomp @ SV94 )
= $false )
| ( ( rf1 @ SV74 @ SV94 )
= $false )
| ( ( ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(439,plain,
! [SV95: $i] :
( ( ( cUnsatisfiable @ SV95 )
= $false )
| ( ( ~ ( ~ ( cpxcomp @ ( sK5_Y @ SV95 ) )
| ~ ( rf1 @ SV95 @ ( sK5_Y @ SV95 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(440,plain,
! [SV96: $i] :
( ( ( cUnsatisfiable @ SV96 )
= $false )
| ( ( ~ ( ~ ( cowlThing @ ( sK4_Y @ SV96 ) )
| ~ ( rs @ SV96 @ ( sK4_Y @ SV96 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(441,plain,
! [SV92: $i] :
( ( ( cp @ ( sK3_Y @ SV92 ) )
= $true )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(442,plain,
! [SV92: $i] :
( ( ( rf @ SV92 @ ( sK3_Y @ SV92 ) )
= $true )
| ( ( cUnsatisfiable @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(443,plain,
! [SV94: $i,SV74: $i,SV97: $i] :
( ( ( ~ ( cowlThing @ SV97 ) )
= $true )
| ( ( ~ ( rs @ SV74 @ SV97 ) )
= $true )
| ( ( cpxcomp @ SV94 )
= $false )
| ( ( rf1 @ SV74 @ SV94 )
= $false )
| ( ( ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(444,plain,
! [SV95: $i] :
( ( ( ~ ( cpxcomp @ ( sK5_Y @ SV95 ) )
| ~ ( rf1 @ SV95 @ ( sK5_Y @ SV95 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(445,plain,
! [SV96: $i] :
( ( ( ~ ( cowlThing @ ( sK4_Y @ SV96 ) )
| ~ ( rs @ SV96 @ ( sK4_Y @ SV96 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(446,plain,
! [SV94: $i,SV74: $i,SV97: $i] :
( ( ( cowlThing @ SV97 )
= $false )
| ( ( ~ ( rs @ SV74 @ SV97 ) )
= $true )
| ( ( cpxcomp @ SV94 )
= $false )
| ( ( rf1 @ SV74 @ SV94 )
= $false )
| ( ( ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(447,plain,
! [SV95: $i] :
( ( ( ~ ( cpxcomp @ ( sK5_Y @ SV95 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(448,plain,
! [SV95: $i] :
( ( ( ~ ( rf1 @ SV95 @ ( sK5_Y @ SV95 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV95 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[444]) ).
thf(449,plain,
! [SV96: $i] :
( ( ( ~ ( cowlThing @ ( sK4_Y @ SV96 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(450,plain,
! [SV96: $i] :
( ( ( ~ ( rs @ SV96 @ ( sK4_Y @ SV96 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[445]) ).
thf(451,plain,
! [SV94: $i,SV97: $i,SV74: $i] :
( ( ( rs @ SV74 @ SV97 )
= $false )
| ( ( cowlThing @ SV97 )
= $false )
| ( ( cpxcomp @ SV94 )
= $false )
| ( ( rf1 @ SV74 @ SV94 )
= $false )
| ( ( ! [SY151: $i] :
( ~ ( cp @ SY151 )
| ~ ( rf @ SV74 @ SY151 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(452,plain,
! [SV95: $i] :
( ( ( cpxcomp @ ( sK5_Y @ SV95 ) )
= $true )
| ( ( cUnsatisfiable @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(453,plain,
! [SV95: $i] :
( ( ( rf1 @ SV95 @ ( sK5_Y @ SV95 ) )
= $true )
| ( ( cUnsatisfiable @ SV95 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(454,plain,
! [SV96: $i] :
( ( ( cowlThing @ ( sK4_Y @ SV96 ) )
= $true )
| ( ( cUnsatisfiable @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(455,plain,
! [SV96: $i] :
( ( ( rs @ SV96 @ ( sK4_Y @ SV96 ) )
= $true )
| ( ( cUnsatisfiable @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(456,plain,
! [SV97: $i,SV94: $i,SV74: $i,SV98: $i] :
( ( ( ~ ( cp @ SV98 )
| ~ ( rf @ SV74 @ SV98 ) )
= $true )
| ( ( rf1 @ SV74 @ SV94 )
= $false )
| ( ( cpxcomp @ SV94 )
= $false )
| ( ( cowlThing @ SV97 )
= $false )
| ( ( rs @ SV74 @ SV97 )
= $false )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(457,plain,
! [SV97: $i,SV94: $i,SV74: $i,SV98: $i] :
( ( ( ~ ( cp @ SV98 ) )
= $true )
| ( ( ~ ( rf @ SV74 @ SV98 ) )
= $true )
| ( ( rf1 @ SV74 @ SV94 )
= $false )
| ( ( cpxcomp @ SV94 )
= $false )
| ( ( cowlThing @ SV97 )
= $false )
| ( ( rs @ SV74 @ SV97 )
= $false )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(458,plain,
! [SV97: $i,SV94: $i,SV74: $i,SV98: $i] :
( ( ( cp @ SV98 )
= $false )
| ( ( ~ ( rf @ SV74 @ SV98 ) )
= $true )
| ( ( rf1 @ SV74 @ SV94 )
= $false )
| ( ( cpxcomp @ SV94 )
= $false )
| ( ( cowlThing @ SV97 )
= $false )
| ( ( rs @ SV74 @ SV97 )
= $false )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(459,plain,
! [SV97: $i,SV94: $i,SV98: $i,SV74: $i] :
( ( ( rf @ SV74 @ SV98 )
= $false )
| ( ( cp @ SV98 )
= $false )
| ( ( rf1 @ SV74 @ SV94 )
= $false )
| ( ( cpxcomp @ SV94 )
= $false )
| ( ( cowlThing @ SV97 )
= $false )
| ( ( rs @ SV74 @ SV97 )
= $false )
| ( ( cUnsatisfiable @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(460,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[141,459,455,454,453,452,442,441,424,419,418,417,415,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,386,374,373,358,357,356,355,354,353,349,348,308,297,296,179]) ).
thf(461,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[460]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS111+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 13:35:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 35
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.36 .
% 0.12/0.37 (rf:0,axioms:35,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:37,loop_count:0,foatp_calls:0,translation:fof_full).......................
% 0.18/0.51
% 0.18/0.51 ********************************
% 0.18/0.51 * All subproblems solved! *
% 0.18/0.51 ********************************
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:35,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:460,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.56
% 0.18/0.56 %**** Beginning of derivation protocol ****
% 0.18/0.56 % SZS output start CNFRefutation
% See solution above
% 0.18/0.56
% 0.18/0.56 %**** End of derivation protocol ****
% 0.18/0.56 %**** no. of clauses in derivation: 461 ****
% 0.18/0.56 %**** clause counter: 460 ****
% 0.18/0.56
% 0.18/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:35,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:460,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------