%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS073+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:26:14 AM UTC 2026
% Result : Unsatisfiable 0.61s 0.33s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 31
% Syntax : Number of formulae : 462 ( 199 unt; 0 typ; 0 def)
% Number of atoms : 3361 (1145 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 5001 (1515 ~; 975 |; 78 &;2343 @)
% ( 15 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 3 con; 0-2 aty)
% Number of variables : 1216 ( 0 ^;1210 !; 6 ?;1216 :)
% 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_i2003_11_14_17_18_54369,type,
i2003_11_14_17_18_54369: $i ).
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_SY96,type,
sK1_SY96: $i > $i ).
thf(tp_sK2_SY144,type,
sK2_SY144: $i > $i > $i ).
thf(tp_sK3_SY141,type,
sK3_SY141: $i > $i > $i ).
thf(tp_sK4_SY142,type,
sK4_SY142: $i > $i > $i ).
thf(tp_sK5_SY142,type,
sK5_SY142: $i > $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 )
=> ( rf @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( rs @ X @ Y )
=> ( rf1 @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(3,axiom,
cUnsatisfiable @ i2003_11_14_17_18_54369,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
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_8) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( rinvS @ X @ Y )
<=> ( rs @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( rinvF1 @ X @ Y )
<=> ( rf1 @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( rinvF @ X @ Y )
<=> ( rf @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
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_4) ).
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_3) ).
thf(10,axiom,
! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rf @ X @ Y )
& ! [Z: $i] :
( ( rinvS @ Y @ Z )
=> ( cp @ Z ) )
& ! [Z: $i] :
( ( rinvF @ Y @ Z )
=> ? [W: $i] :
( ( rs @ Z @ W )
& ( cp @ W ) ) ) )
& ~ ( cp @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(11,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(12,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(13,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(14,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(15,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(16,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(17,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(18,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(19,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(20,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(21,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(22,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(23,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(24,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(25,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(26,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(27,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cp @ A ) )
=> ( cp @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp_substitution_1) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cUnsatisfiable_substitution_1) ).
thf(31,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(32,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[31]) ).
thf(33,plain,
$false = $false,
inference(unfold_def,[status(thm)],[32]) ).
thf(34,plain,
( ( ! [X: $i,Y: $i] :
( ( rs @ X @ Y )
=> ( rf @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(35,plain,
( ( ! [X: $i,Y: $i] :
( ( rs @ X @ Y )
=> ( rf1 @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(36,plain,
( ( cUnsatisfiable @ i2003_11_14_17_18_54369 )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(37,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rs @ X @ Y )
& ( rs @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(38,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvS @ X @ Y )
<=> ( rs @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(39,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvF1 @ X @ Y )
<=> ( rf1 @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(40,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvF @ X @ Y )
<=> ( rf @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(41,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rf1 @ X @ Y )
& ( rf1 @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rf @ X @ Y )
& ( rf @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(43,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rf @ X @ Y )
& ! [Z: $i] :
( ( rinvS @ Y @ Z )
=> ( cp @ Z ) )
& ! [Z: $i] :
( ( rinvF @ Y @ Z )
=> ? [W: $i] :
( ( rs @ Z @ W )
& ( cp @ W ) ) ) )
& ~ ( cp @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(44,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(45,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(48,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rs @ C @ A ) )
=> ( rs @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(49,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rs @ A @ C ) )
=> ( rs @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(50,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvS @ C @ A ) )
=> ( rinvS @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(51,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvS @ A @ C ) )
=> ( rinvS @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(52,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF1 @ C @ A ) )
=> ( rinvF1 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(53,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF1 @ A @ C ) )
=> ( rinvF1 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(54,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ C @ A ) )
=> ( rinvF @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(55,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ A @ C ) )
=> ( rinvF @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(56,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ C @ A ) )
=> ( rf1 @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(57,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ A @ C ) )
=> ( rf1 @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(58,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ C @ A ) )
=> ( rf @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(59,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ A @ C ) )
=> ( rf @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(60,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp @ A ) )
=> ( cp @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(61,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(62,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(63,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(64,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[33]) ).
thf(65,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cUnsatisfiable @ A ) )
=> ( cUnsatisfiable @ B ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(66,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(67,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(68,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cp @ A ) )
=> ( cp @ B ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(69,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ A @ C ) )
=> ( rf @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(70,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf @ C @ A ) )
=> ( rf @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(71,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ A @ C ) )
=> ( rf1 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(72,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rf1 @ C @ A ) )
=> ( rf1 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(73,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ A @ C ) )
=> ( rinvF @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(74,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF @ C @ A ) )
=> ( rinvF @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(75,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF1 @ A @ C ) )
=> ( rinvF1 @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(76,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvF1 @ C @ A ) )
=> ( rinvF1 @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(77,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvS @ A @ C ) )
=> ( rinvS @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(78,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rinvS @ C @ A ) )
=> ( rinvS @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(79,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rs @ A @ C ) )
=> ( rs @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(80,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rs @ C @ A ) )
=> ( rs @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(81,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(82,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(83,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(84,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(85,plain,
( ( ! [X: $i] :
( ( cUnsatisfiable @ X )
<=> ( ? [Y: $i] :
( ( rf @ X @ Y )
& ! [Z: $i] :
( ( rinvS @ Y @ Z )
=> ( cp @ Z ) )
& ! [Z: $i] :
( ( rinvF @ Y @ Z )
=> ? [W: $i] :
( ( rs @ Z @ W )
& ( cp @ W ) ) ) )
& ~ ( cp @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(86,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rf @ X @ Y )
& ( rf @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(87,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rf1 @ X @ Y )
& ( rf1 @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(88,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvF @ X @ Y )
<=> ( rf @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(89,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvF1 @ X @ Y )
<=> ( rf1 @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(90,plain,
( ( ! [X: $i,Y: $i] :
( ( rinvS @ X @ Y )
<=> ( rs @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(91,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( rs @ X @ Y )
& ( rs @ X @ Z ) )
=> ( Y = Z ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(92,plain,
( ( cUnsatisfiable @ i2003_11_14_17_18_54369 )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(93,plain,
( ( ! [X: $i,Y: $i] :
( ( rs @ X @ Y )
=> ( rf1 @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(94,plain,
( ( ! [X: $i,Y: $i] :
( ( rs @ X @ Y )
=> ( rf @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(95,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[64]) ).
thf(96,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rf @ SX0 @ SX1 )
| ~ ( rf @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(97,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( rinvF @ SX0 @ SX1 )
| ( rf @ SX1 @ SX0 ) )
| ~ ( ~ ( rf @ SX1 @ SX0 )
| ( rinvF @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(98,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(99,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cowlNothing @ SX0 ) )
| ( cowlNothing @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(100,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rs @ SX0 @ SX1 )
| ( rf1 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(101,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rf1 @ SX2 @ SX0 ) )
| ( rf1 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(102,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rs @ SX0 @ SX1 )
| ~ ( rs @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(103,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rinvF @ SX0 @ SX2 ) )
| ( rinvF @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(104,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cUnsatisfiable @ SX0 ) )
| ( cUnsatisfiable @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(105,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rf1 @ SX0 @ SX2 ) )
| ( rf1 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(106,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rinvF1 @ SX0 @ SX2 ) )
| ( rinvF1 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(107,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rinvF @ SX2 @ SX0 ) )
| ( rinvF @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(108,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(109,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( rf1 @ SX0 @ SX1 )
| ~ ( rf1 @ SX0 @ SX2 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(110,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cowlThing @ SX0 ) )
| ( cowlThing @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(111,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( rinvS @ SX0 @ SX1 )
| ( rs @ SX1 @ SX0 ) )
| ~ ( ~ ( rs @ SX1 @ SX0 )
| ( rinvS @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(112,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cUnsatisfiable @ SX0 )
| ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SX1 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SX1 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SX0 ) )
| ( cUnsatisfiable @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(113,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( cp @ SX0 ) )
| ( cp @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(114,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rinvF1 @ SX2 @ SX0 ) )
| ( rinvF1 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(115,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( rs @ SX0 @ SX1 )
| ( rf @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(116,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rf @ SX2 @ SX0 ) )
| ( rf @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(117,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rinvS @ SX0 @ SX2 ) )
| ( rinvS @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(118,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( xsd_integer @ SX0 ) )
| ( xsd_integer @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(119,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rinvS @ SX2 @ SX0 ) )
| ( rinvS @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(120,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rf @ SX0 @ SX2 ) )
| ( rf @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(121,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rs @ SX0 @ SX2 ) )
| ( rs @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(122,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( rinvF1 @ SX0 @ SX1 )
| ( rf1 @ SX1 @ SX0 ) )
| ~ ( ~ ( rf1 @ SX1 @ SX0 )
| ( rinvF1 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(123,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( xsd_string @ SX0 ) )
| ( xsd_string @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(124,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ( SX0 != SX1 )
| ~ ( rs @ SX2 @ SX0 ) )
| ( rs @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(125,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(126,plain,
! [SV1: $i] :
( ( ! [SY74: $i,SY75: $i] :
( ~ ~ ( ~ ( rf @ SV1 @ SY74 )
| ~ ( rf @ SV1 @ SY75 ) )
| ( SY74 = SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(127,plain,
! [SV2: $i] :
( ( ! [SY76: $i] :
~ ( ~ ( ~ ( rinvF @ SV2 @ SY76 )
| ( rf @ SY76 @ SV2 ) )
| ~ ( ~ ( rf @ SY76 @ SV2 )
| ( rinvF @ SV2 @ SY76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(128,plain,
! [SV3: $i] :
( ( ~ ( ~ ( cowlThing @ SV3 )
| ~ ~ ( cowlNothing @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(129,plain,
! [SV4: $i] :
( ( ! [SY77: $i] :
( ~ ~ ( ( SV4 != SY77 )
| ~ ( cowlNothing @ SV4 ) )
| ( cowlNothing @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(130,plain,
! [SV5: $i] :
( ( ! [SY78: $i] :
( ~ ( rs @ SV5 @ SY78 )
| ( rf1 @ SV5 @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(131,plain,
! [SV6: $i] :
( ( ! [SY79: $i,SY80: $i] :
( ~ ~ ( ( SV6 != SY79 )
| ~ ( rf1 @ SY80 @ SV6 ) )
| ( rf1 @ SY80 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(132,plain,
! [SV7: $i] :
( ( ! [SY81: $i,SY82: $i] :
( ~ ~ ( ~ ( rs @ SV7 @ SY81 )
| ~ ( rs @ SV7 @ SY82 ) )
| ( SY81 = SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(133,plain,
! [SV8: $i] :
( ( ! [SY83: $i,SY84: $i] :
( ~ ~ ( ( SV8 != SY83 )
| ~ ( rinvF @ SV8 @ SY84 ) )
| ( rinvF @ SY83 @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(134,plain,
! [SV9: $i] :
( ( ! [SY85: $i] :
( ~ ~ ( ( SV9 != SY85 )
| ~ ( cUnsatisfiable @ SV9 ) )
| ( cUnsatisfiable @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(135,plain,
! [SV10: $i] :
( ( ! [SY86: $i,SY87: $i] :
( ~ ~ ( ( SV10 != SY86 )
| ~ ( rf1 @ SV10 @ SY87 ) )
| ( rf1 @ SY86 @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(136,plain,
! [SV11: $i] :
( ( ! [SY88: $i,SY89: $i] :
( ~ ~ ( ( SV11 != SY88 )
| ~ ( rinvF1 @ SV11 @ SY89 ) )
| ( rinvF1 @ SY88 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(137,plain,
! [SV12: $i] :
( ( ! [SY90: $i,SY91: $i] :
( ~ ~ ( ( SV12 != SY90 )
| ~ ( rinvF @ SY91 @ SV12 ) )
| ( rinvF @ SY91 @ SY90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(138,plain,
! [SV13: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV13 )
| ~ ( xsd_integer @ SV13 ) )
| ~ ( ~ ~ ( xsd_integer @ SV13 )
| ( xsd_string @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(139,plain,
! [SV14: $i] :
( ( ! [SY92: $i,SY93: $i] :
( ~ ~ ( ~ ( rf1 @ SV14 @ SY92 )
| ~ ( rf1 @ SV14 @ SY93 ) )
| ( SY92 = SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(140,plain,
! [SV15: $i] :
( ( ! [SY94: $i] :
( ~ ~ ( ( SV15 != SY94 )
| ~ ( cowlThing @ SV15 ) )
| ( cowlThing @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(141,plain,
! [SV16: $i] :
( ( ! [SY95: $i] :
~ ( ~ ( ~ ( rinvS @ SV16 @ SY95 )
| ( rs @ SY95 @ SV16 ) )
| ~ ( ~ ( rs @ SY95 @ SV16 )
| ( rinvS @ SV16 @ SY95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(142,plain,
! [SV17: $i] :
( ( ~ ( ~ ( ~ ( cUnsatisfiable @ SV17 )
| ~ ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY96 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY96 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY96 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY100 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY100 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY100 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) )
| ( cUnsatisfiable @ SV17 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(143,plain,
! [SV18: $i] :
( ( ! [SY104: $i] :
( ~ ~ ( ( SV18 != SY104 )
| ~ ( cp @ SV18 ) )
| ( cp @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(144,plain,
! [SV19: $i] :
( ( ! [SY105: $i,SY106: $i] :
( ~ ~ ( ( SV19 != SY105 )
| ~ ( rinvF1 @ SY106 @ SV19 ) )
| ( rinvF1 @ SY106 @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(145,plain,
! [SV20: $i] :
( ( ! [SY107: $i] :
( ~ ( rs @ SV20 @ SY107 )
| ( rf @ SV20 @ SY107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(146,plain,
! [SV21: $i] :
( ( ! [SY108: $i,SY109: $i] :
( ~ ~ ( ( SV21 != SY108 )
| ~ ( rf @ SY109 @ SV21 ) )
| ( rf @ SY109 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(147,plain,
! [SV22: $i] :
( ( ! [SY110: $i,SY111: $i] :
( ~ ~ ( ( SV22 != SY110 )
| ~ ( rinvS @ SV22 @ SY111 ) )
| ( rinvS @ SY110 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(148,plain,
! [SV23: $i] :
( ( ! [SY112: $i] :
( ~ ~ ( ( SV23 != SY112 )
| ~ ( xsd_integer @ SV23 ) )
| ( xsd_integer @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(149,plain,
! [SV24: $i] :
( ( ! [SY113: $i,SY114: $i] :
( ~ ~ ( ( SV24 != SY113 )
| ~ ( rinvS @ SY114 @ SV24 ) )
| ( rinvS @ SY114 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(150,plain,
! [SV25: $i] :
( ( ! [SY115: $i,SY116: $i] :
( ~ ~ ( ( SV25 != SY115 )
| ~ ( rf @ SV25 @ SY116 ) )
| ( rf @ SY115 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(151,plain,
! [SV26: $i] :
( ( ! [SY117: $i,SY118: $i] :
( ~ ~ ( ( SV26 != SY117 )
| ~ ( rs @ SV26 @ SY118 ) )
| ( rs @ SY117 @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(152,plain,
! [SV27: $i] :
( ( ! [SY119: $i] :
~ ( ~ ( ~ ( rinvF1 @ SV27 @ SY119 )
| ( rf1 @ SY119 @ SV27 ) )
| ~ ( ~ ( rf1 @ SY119 @ SV27 )
| ( rinvF1 @ SV27 @ SY119 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(153,plain,
! [SV28: $i] :
( ( ! [SY120: $i] :
( ~ ~ ( ( SV28 != SY120 )
| ~ ( xsd_string @ SV28 ) )
| ( xsd_string @ SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(154,plain,
! [SV29: $i] :
( ( ! [SY121: $i,SY122: $i] :
( ~ ~ ( ( SV29 != SY121 )
| ~ ( rs @ SY122 @ SV29 ) )
| ( rs @ SY122 @ SY121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(155,plain,
! [SV30: $i,SV1: $i] :
( ( ! [SY123: $i] :
( ~ ~ ( ~ ( rf @ SV1 @ SV30 )
| ~ ( rf @ SV1 @ SY123 ) )
| ( SV30 = SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(156,plain,
! [SV31: $i,SV2: $i] :
( ( ~ ( ~ ( ~ ( rinvF @ SV2 @ SV31 )
| ( rf @ SV31 @ SV2 ) )
| ~ ( ~ ( rf @ SV31 @ SV2 )
| ( rinvF @ SV2 @ SV31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(157,plain,
! [SV3: $i] :
( ( ~ ( cowlThing @ SV3 )
| ~ ~ ( cowlNothing @ SV3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(158,plain,
! [SV32: $i,SV4: $i] :
( ( ~ ~ ( ( SV4 != SV32 )
| ~ ( cowlNothing @ SV4 ) )
| ( cowlNothing @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(159,plain,
! [SV33: $i,SV5: $i] :
( ( ~ ( rs @ SV5 @ SV33 )
| ( rf1 @ SV5 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(160,plain,
! [SV34: $i,SV6: $i] :
( ( ! [SY124: $i] :
( ~ ~ ( ( SV6 != SV34 )
| ~ ( rf1 @ SY124 @ SV6 ) )
| ( rf1 @ SY124 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(161,plain,
! [SV35: $i,SV7: $i] :
( ( ! [SY125: $i] :
( ~ ~ ( ~ ( rs @ SV7 @ SV35 )
| ~ ( rs @ SV7 @ SY125 ) )
| ( SV35 = SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(162,plain,
! [SV36: $i,SV8: $i] :
( ( ! [SY126: $i] :
( ~ ~ ( ( SV8 != SV36 )
| ~ ( rinvF @ SV8 @ SY126 ) )
| ( rinvF @ SV36 @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(163,plain,
! [SV37: $i,SV9: $i] :
( ( ~ ~ ( ( SV9 != SV37 )
| ~ ( cUnsatisfiable @ SV9 ) )
| ( cUnsatisfiable @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(164,plain,
! [SV38: $i,SV10: $i] :
( ( ! [SY127: $i] :
( ~ ~ ( ( SV10 != SV38 )
| ~ ( rf1 @ SV10 @ SY127 ) )
| ( rf1 @ SV38 @ SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(165,plain,
! [SV39: $i,SV11: $i] :
( ( ! [SY128: $i] :
( ~ ~ ( ( SV11 != SV39 )
| ~ ( rinvF1 @ SV11 @ SY128 ) )
| ( rinvF1 @ SV39 @ SY128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(166,plain,
! [SV40: $i,SV12: $i] :
( ( ! [SY129: $i] :
( ~ ~ ( ( SV12 != SV40 )
| ~ ( rinvF @ SY129 @ SV12 ) )
| ( rinvF @ SY129 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(167,plain,
! [SV13: $i] :
( ( ~ ( ~ ( xsd_string @ SV13 )
| ~ ( xsd_integer @ SV13 ) )
| ~ ( ~ ~ ( xsd_integer @ SV13 )
| ( xsd_string @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(168,plain,
! [SV41: $i,SV14: $i] :
( ( ! [SY130: $i] :
( ~ ~ ( ~ ( rf1 @ SV14 @ SV41 )
| ~ ( rf1 @ SV14 @ SY130 ) )
| ( SV41 = SY130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(169,plain,
! [SV42: $i,SV15: $i] :
( ( ~ ~ ( ( SV15 != SV42 )
| ~ ( cowlThing @ SV15 ) )
| ( cowlThing @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(170,plain,
! [SV43: $i,SV16: $i] :
( ( ~ ( ~ ( ~ ( rinvS @ SV16 @ SV43 )
| ( rs @ SV43 @ SV16 ) )
| ~ ( ~ ( rs @ SV43 @ SV16 )
| ( rinvS @ SV16 @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(171,plain,
! [SV17: $i] :
( ( ~ ( ~ ( cUnsatisfiable @ SV17 )
| ~ ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY96 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY96 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY96 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) ) )
| ~ ( ~ ~ ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY100 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY100 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY100 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) )
| ( cUnsatisfiable @ SV17 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(172,plain,
! [SV44: $i,SV18: $i] :
( ( ~ ~ ( ( SV18 != SV44 )
| ~ ( cp @ SV18 ) )
| ( cp @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(173,plain,
! [SV45: $i,SV19: $i] :
( ( ! [SY131: $i] :
( ~ ~ ( ( SV19 != SV45 )
| ~ ( rinvF1 @ SY131 @ SV19 ) )
| ( rinvF1 @ SY131 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(174,plain,
! [SV46: $i,SV20: $i] :
( ( ~ ( rs @ SV20 @ SV46 )
| ( rf @ SV20 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(175,plain,
! [SV47: $i,SV21: $i] :
( ( ! [SY132: $i] :
( ~ ~ ( ( SV21 != SV47 )
| ~ ( rf @ SY132 @ SV21 ) )
| ( rf @ SY132 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(176,plain,
! [SV48: $i,SV22: $i] :
( ( ! [SY133: $i] :
( ~ ~ ( ( SV22 != SV48 )
| ~ ( rinvS @ SV22 @ SY133 ) )
| ( rinvS @ SV48 @ SY133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(177,plain,
! [SV49: $i,SV23: $i] :
( ( ~ ~ ( ( SV23 != SV49 )
| ~ ( xsd_integer @ SV23 ) )
| ( xsd_integer @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(178,plain,
! [SV50: $i,SV24: $i] :
( ( ! [SY134: $i] :
( ~ ~ ( ( SV24 != SV50 )
| ~ ( rinvS @ SY134 @ SV24 ) )
| ( rinvS @ SY134 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(179,plain,
! [SV51: $i,SV25: $i] :
( ( ! [SY135: $i] :
( ~ ~ ( ( SV25 != SV51 )
| ~ ( rf @ SV25 @ SY135 ) )
| ( rf @ SV51 @ SY135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(180,plain,
! [SV52: $i,SV26: $i] :
( ( ! [SY136: $i] :
( ~ ~ ( ( SV26 != SV52 )
| ~ ( rs @ SV26 @ SY136 ) )
| ( rs @ SV52 @ SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(181,plain,
! [SV53: $i,SV27: $i] :
( ( ~ ( ~ ( ~ ( rinvF1 @ SV27 @ SV53 )
| ( rf1 @ SV53 @ SV27 ) )
| ~ ( ~ ( rf1 @ SV53 @ SV27 )
| ( rinvF1 @ SV27 @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(182,plain,
! [SV54: $i,SV28: $i] :
( ( ~ ~ ( ( SV28 != SV54 )
| ~ ( xsd_string @ SV28 ) )
| ( xsd_string @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(183,plain,
! [SV55: $i,SV29: $i] :
( ( ! [SY137: $i] :
( ~ ~ ( ( SV29 != SV55 )
| ~ ( rs @ SY137 @ SV29 ) )
| ( rs @ SY137 @ SV55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(184,plain,
! [SV56: $i,SV30: $i,SV1: $i] :
( ( ~ ~ ( ~ ( rf @ SV1 @ SV30 )
| ~ ( rf @ SV1 @ SV56 ) )
| ( SV30 = SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(185,plain,
! [SV31: $i,SV2: $i] :
( ( ~ ( ~ ( rinvF @ SV2 @ SV31 )
| ( rf @ SV31 @ SV2 ) )
| ~ ( ~ ( rf @ SV31 @ SV2 )
| ( rinvF @ SV2 @ SV31 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(186,plain,
! [SV3: $i] :
( ( ~ ( cowlThing @ SV3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(187,plain,
! [SV3: $i] :
( ( ~ ~ ( cowlNothing @ SV3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(188,plain,
! [SV32: $i,SV4: $i] :
( ( ( ~ ~ ( ( SV4 != SV32 )
| ~ ( cowlNothing @ SV4 ) ) )
= $true )
| ( ( cowlNothing @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(189,plain,
! [SV33: $i,SV5: $i] :
( ( ( ~ ( rs @ SV5 @ SV33 ) )
= $true )
| ( ( rf1 @ SV5 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(190,plain,
! [SV57: $i,SV34: $i,SV6: $i] :
( ( ~ ~ ( ( SV6 != SV34 )
| ~ ( rf1 @ SV57 @ SV6 ) )
| ( rf1 @ SV57 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(191,plain,
! [SV58: $i,SV35: $i,SV7: $i] :
( ( ~ ~ ( ~ ( rs @ SV7 @ SV35 )
| ~ ( rs @ SV7 @ SV58 ) )
| ( SV35 = SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(192,plain,
! [SV59: $i,SV36: $i,SV8: $i] :
( ( ~ ~ ( ( SV8 != SV36 )
| ~ ( rinvF @ SV8 @ SV59 ) )
| ( rinvF @ SV36 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(193,plain,
! [SV37: $i,SV9: $i] :
( ( ( ~ ~ ( ( SV9 != SV37 )
| ~ ( cUnsatisfiable @ SV9 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(194,plain,
! [SV60: $i,SV38: $i,SV10: $i] :
( ( ~ ~ ( ( SV10 != SV38 )
| ~ ( rf1 @ SV10 @ SV60 ) )
| ( rf1 @ SV38 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(195,plain,
! [SV61: $i,SV39: $i,SV11: $i] :
( ( ~ ~ ( ( SV11 != SV39 )
| ~ ( rinvF1 @ SV11 @ SV61 ) )
| ( rinvF1 @ SV39 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(196,plain,
! [SV62: $i,SV40: $i,SV12: $i] :
( ( ~ ~ ( ( SV12 != SV40 )
| ~ ( rinvF @ SV62 @ SV12 ) )
| ( rinvF @ SV62 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(197,plain,
! [SV13: $i] :
( ( ~ ( ~ ( xsd_string @ SV13 )
| ~ ( xsd_integer @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(198,plain,
! [SV13: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV13 )
| ( xsd_string @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(199,plain,
! [SV63: $i,SV41: $i,SV14: $i] :
( ( ~ ~ ( ~ ( rf1 @ SV14 @ SV41 )
| ~ ( rf1 @ SV14 @ SV63 ) )
| ( SV41 = SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(200,plain,
! [SV42: $i,SV15: $i] :
( ( ( ~ ~ ( ( SV15 != SV42 )
| ~ ( cowlThing @ SV15 ) ) )
= $true )
| ( ( cowlThing @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(201,plain,
! [SV43: $i,SV16: $i] :
( ( ~ ( ~ ( rinvS @ SV16 @ SV43 )
| ( rs @ SV43 @ SV16 ) )
| ~ ( ~ ( rs @ SV43 @ SV16 )
| ( rinvS @ SV16 @ SV43 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(202,plain,
! [SV17: $i] :
( ( ~ ( ~ ( cUnsatisfiable @ SV17 )
| ~ ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY96 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY96 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY96 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(203,plain,
! [SV17: $i] :
( ( ~ ( ~ ~ ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY100 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY100 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY100 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) )
| ( cUnsatisfiable @ SV17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(204,plain,
! [SV44: $i,SV18: $i] :
( ( ( ~ ~ ( ( SV18 != SV44 )
| ~ ( cp @ SV18 ) ) )
= $true )
| ( ( cp @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(205,plain,
! [SV64: $i,SV45: $i,SV19: $i] :
( ( ~ ~ ( ( SV19 != SV45 )
| ~ ( rinvF1 @ SV64 @ SV19 ) )
| ( rinvF1 @ SV64 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(206,plain,
! [SV46: $i,SV20: $i] :
( ( ( ~ ( rs @ SV20 @ SV46 ) )
= $true )
| ( ( rf @ SV20 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(207,plain,
! [SV65: $i,SV47: $i,SV21: $i] :
( ( ~ ~ ( ( SV21 != SV47 )
| ~ ( rf @ SV65 @ SV21 ) )
| ( rf @ SV65 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(208,plain,
! [SV66: $i,SV48: $i,SV22: $i] :
( ( ~ ~ ( ( SV22 != SV48 )
| ~ ( rinvS @ SV22 @ SV66 ) )
| ( rinvS @ SV48 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(209,plain,
! [SV49: $i,SV23: $i] :
( ( ( ~ ~ ( ( SV23 != SV49 )
| ~ ( xsd_integer @ SV23 ) ) )
= $true )
| ( ( xsd_integer @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(210,plain,
! [SV67: $i,SV50: $i,SV24: $i] :
( ( ~ ~ ( ( SV24 != SV50 )
| ~ ( rinvS @ SV67 @ SV24 ) )
| ( rinvS @ SV67 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(211,plain,
! [SV68: $i,SV51: $i,SV25: $i] :
( ( ~ ~ ( ( SV25 != SV51 )
| ~ ( rf @ SV25 @ SV68 ) )
| ( rf @ SV51 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(212,plain,
! [SV69: $i,SV52: $i,SV26: $i] :
( ( ~ ~ ( ( SV26 != SV52 )
| ~ ( rs @ SV26 @ SV69 ) )
| ( rs @ SV52 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(213,plain,
! [SV53: $i,SV27: $i] :
( ( ~ ( ~ ( rinvF1 @ SV27 @ SV53 )
| ( rf1 @ SV53 @ SV27 ) )
| ~ ( ~ ( rf1 @ SV53 @ SV27 )
| ( rinvF1 @ SV27 @ SV53 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(214,plain,
! [SV54: $i,SV28: $i] :
( ( ( ~ ~ ( ( SV28 != SV54 )
| ~ ( xsd_string @ SV28 ) ) )
= $true )
| ( ( xsd_string @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[182]) ).
thf(215,plain,
! [SV70: $i,SV55: $i,SV29: $i] :
( ( ~ ~ ( ( SV29 != SV55 )
| ~ ( rs @ SV70 @ SV29 ) )
| ( rs @ SV70 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(216,plain,
! [SV56: $i,SV30: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( rf @ SV1 @ SV30 )
| ~ ( rf @ SV1 @ SV56 ) ) )
= $true )
| ( ( SV30 = SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[184]) ).
thf(217,plain,
! [SV31: $i,SV2: $i] :
( ( ~ ( ~ ( rinvF @ SV2 @ SV31 )
| ( rf @ SV31 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(218,plain,
! [SV2: $i,SV31: $i] :
( ( ~ ( ~ ( rf @ SV31 @ SV2 )
| ( rinvF @ SV2 @ SV31 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(219,plain,
! [SV3: $i] :
( ( cowlThing @ SV3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(220,plain,
! [SV3: $i] :
( ( ~ ( cowlNothing @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(221,plain,
! [SV32: $i,SV4: $i] :
( ( ( ~ ( ( SV4 != SV32 )
| ~ ( cowlNothing @ SV4 ) ) )
= $false )
| ( ( cowlNothing @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(222,plain,
! [SV33: $i,SV5: $i] :
( ( ( rs @ SV5 @ SV33 )
= $false )
| ( ( rf1 @ SV5 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(223,plain,
! [SV57: $i,SV34: $i,SV6: $i] :
( ( ( ~ ~ ( ( SV6 != SV34 )
| ~ ( rf1 @ SV57 @ SV6 ) ) )
= $true )
| ( ( rf1 @ SV57 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(224,plain,
! [SV58: $i,SV35: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( rs @ SV7 @ SV35 )
| ~ ( rs @ SV7 @ SV58 ) ) )
= $true )
| ( ( SV35 = SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(225,plain,
! [SV59: $i,SV36: $i,SV8: $i] :
( ( ( ~ ~ ( ( SV8 != SV36 )
| ~ ( rinvF @ SV8 @ SV59 ) ) )
= $true )
| ( ( rinvF @ SV36 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(226,plain,
! [SV37: $i,SV9: $i] :
( ( ( ~ ( ( SV9 != SV37 )
| ~ ( cUnsatisfiable @ SV9 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(227,plain,
! [SV60: $i,SV38: $i,SV10: $i] :
( ( ( ~ ~ ( ( SV10 != SV38 )
| ~ ( rf1 @ SV10 @ SV60 ) ) )
= $true )
| ( ( rf1 @ SV38 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(228,plain,
! [SV61: $i,SV39: $i,SV11: $i] :
( ( ( ~ ~ ( ( SV11 != SV39 )
| ~ ( rinvF1 @ SV11 @ SV61 ) ) )
= $true )
| ( ( rinvF1 @ SV39 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(229,plain,
! [SV62: $i,SV40: $i,SV12: $i] :
( ( ( ~ ~ ( ( SV12 != SV40 )
| ~ ( rinvF @ SV62 @ SV12 ) ) )
= $true )
| ( ( rinvF @ SV62 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(230,plain,
! [SV13: $i] :
( ( ~ ( xsd_string @ SV13 )
| ~ ( xsd_integer @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(231,plain,
! [SV13: $i] :
( ( ~ ~ ( xsd_integer @ SV13 )
| ( xsd_string @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(232,plain,
! [SV63: $i,SV41: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( rf1 @ SV14 @ SV41 )
| ~ ( rf1 @ SV14 @ SV63 ) ) )
= $true )
| ( ( SV41 = SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(233,plain,
! [SV42: $i,SV15: $i] :
( ( ( ~ ( ( SV15 != SV42 )
| ~ ( cowlThing @ SV15 ) ) )
= $false )
| ( ( cowlThing @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(234,plain,
! [SV43: $i,SV16: $i] :
( ( ~ ( ~ ( rinvS @ SV16 @ SV43 )
| ( rs @ SV43 @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(235,plain,
! [SV16: $i,SV43: $i] :
( ( ~ ( ~ ( rs @ SV43 @ SV16 )
| ( rinvS @ SV16 @ SV43 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(236,plain,
! [SV17: $i] :
( ( ~ ( cUnsatisfiable @ SV17 )
| ~ ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY96 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY96 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY96 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(237,plain,
! [SV17: $i] :
( ( ~ ~ ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY100 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY100 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY100 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) )
| ( cUnsatisfiable @ SV17 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(238,plain,
! [SV44: $i,SV18: $i] :
( ( ( ~ ( ( SV18 != SV44 )
| ~ ( cp @ SV18 ) ) )
= $false )
| ( ( cp @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(239,plain,
! [SV64: $i,SV45: $i,SV19: $i] :
( ( ( ~ ~ ( ( SV19 != SV45 )
| ~ ( rinvF1 @ SV64 @ SV19 ) ) )
= $true )
| ( ( rinvF1 @ SV64 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(240,plain,
! [SV46: $i,SV20: $i] :
( ( ( rs @ SV20 @ SV46 )
= $false )
| ( ( rf @ SV20 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(241,plain,
! [SV65: $i,SV47: $i,SV21: $i] :
( ( ( ~ ~ ( ( SV21 != SV47 )
| ~ ( rf @ SV65 @ SV21 ) ) )
= $true )
| ( ( rf @ SV65 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(242,plain,
! [SV66: $i,SV48: $i,SV22: $i] :
( ( ( ~ ~ ( ( SV22 != SV48 )
| ~ ( rinvS @ SV22 @ SV66 ) ) )
= $true )
| ( ( rinvS @ SV48 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(243,plain,
! [SV49: $i,SV23: $i] :
( ( ( ~ ( ( SV23 != SV49 )
| ~ ( xsd_integer @ SV23 ) ) )
= $false )
| ( ( xsd_integer @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(244,plain,
! [SV67: $i,SV50: $i,SV24: $i] :
( ( ( ~ ~ ( ( SV24 != SV50 )
| ~ ( rinvS @ SV67 @ SV24 ) ) )
= $true )
| ( ( rinvS @ SV67 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(245,plain,
! [SV68: $i,SV51: $i,SV25: $i] :
( ( ( ~ ~ ( ( SV25 != SV51 )
| ~ ( rf @ SV25 @ SV68 ) ) )
= $true )
| ( ( rf @ SV51 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(246,plain,
! [SV69: $i,SV52: $i,SV26: $i] :
( ( ( ~ ~ ( ( SV26 != SV52 )
| ~ ( rs @ SV26 @ SV69 ) ) )
= $true )
| ( ( rs @ SV52 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(247,plain,
! [SV53: $i,SV27: $i] :
( ( ~ ( ~ ( rinvF1 @ SV27 @ SV53 )
| ( rf1 @ SV53 @ SV27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(248,plain,
! [SV27: $i,SV53: $i] :
( ( ~ ( ~ ( rf1 @ SV53 @ SV27 )
| ( rinvF1 @ SV27 @ SV53 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(249,plain,
! [SV54: $i,SV28: $i] :
( ( ( ~ ( ( SV28 != SV54 )
| ~ ( xsd_string @ SV28 ) ) )
= $false )
| ( ( xsd_string @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(250,plain,
! [SV70: $i,SV55: $i,SV29: $i] :
( ( ( ~ ~ ( ( SV29 != SV55 )
| ~ ( rs @ SV70 @ SV29 ) ) )
= $true )
| ( ( rs @ SV70 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(251,plain,
! [SV56: $i,SV30: $i,SV1: $i] :
( ( ( ~ ( ~ ( rf @ SV1 @ SV30 )
| ~ ( rf @ SV1 @ SV56 ) ) )
= $false )
| ( ( SV30 = SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(252,plain,
! [SV31: $i,SV2: $i] :
( ( ~ ( rinvF @ SV2 @ SV31 )
| ( rf @ SV31 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(253,plain,
! [SV2: $i,SV31: $i] :
( ( ~ ( rf @ SV31 @ SV2 )
| ( rinvF @ SV2 @ SV31 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(254,plain,
! [SV3: $i] :
( ( cowlNothing @ SV3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(255,plain,
! [SV32: $i,SV4: $i] :
( ( ( ( SV4 != SV32 )
| ~ ( cowlNothing @ SV4 ) )
= $true )
| ( ( cowlNothing @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(256,plain,
! [SV57: $i,SV34: $i,SV6: $i] :
( ( ( ~ ( ( SV6 != SV34 )
| ~ ( rf1 @ SV57 @ SV6 ) ) )
= $false )
| ( ( rf1 @ SV57 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(257,plain,
! [SV58: $i,SV35: $i,SV7: $i] :
( ( ( ~ ( ~ ( rs @ SV7 @ SV35 )
| ~ ( rs @ SV7 @ SV58 ) ) )
= $false )
| ( ( SV35 = SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(258,plain,
! [SV59: $i,SV36: $i,SV8: $i] :
( ( ( ~ ( ( SV8 != SV36 )
| ~ ( rinvF @ SV8 @ SV59 ) ) )
= $false )
| ( ( rinvF @ SV36 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(259,plain,
! [SV37: $i,SV9: $i] :
( ( ( ( SV9 != SV37 )
| ~ ( cUnsatisfiable @ SV9 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(260,plain,
! [SV60: $i,SV38: $i,SV10: $i] :
( ( ( ~ ( ( SV10 != SV38 )
| ~ ( rf1 @ SV10 @ SV60 ) ) )
= $false )
| ( ( rf1 @ SV38 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(261,plain,
! [SV61: $i,SV39: $i,SV11: $i] :
( ( ( ~ ( ( SV11 != SV39 )
| ~ ( rinvF1 @ SV11 @ SV61 ) ) )
= $false )
| ( ( rinvF1 @ SV39 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(262,plain,
! [SV62: $i,SV40: $i,SV12: $i] :
( ( ( ~ ( ( SV12 != SV40 )
| ~ ( rinvF @ SV62 @ SV12 ) ) )
= $false )
| ( ( rinvF @ SV62 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(263,plain,
! [SV13: $i] :
( ( ( ~ ( xsd_string @ SV13 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(264,plain,
! [SV13: $i] :
( ( ( ~ ~ ( xsd_integer @ SV13 ) )
= $true )
| ( ( xsd_string @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(265,plain,
! [SV63: $i,SV41: $i,SV14: $i] :
( ( ( ~ ( ~ ( rf1 @ SV14 @ SV41 )
| ~ ( rf1 @ SV14 @ SV63 ) ) )
= $false )
| ( ( SV41 = SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(266,plain,
! [SV42: $i,SV15: $i] :
( ( ( ( SV15 != SV42 )
| ~ ( cowlThing @ SV15 ) )
= $true )
| ( ( cowlThing @ SV42 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(267,plain,
! [SV43: $i,SV16: $i] :
( ( ~ ( rinvS @ SV16 @ SV43 )
| ( rs @ SV43 @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(268,plain,
! [SV16: $i,SV43: $i] :
( ( ~ ( rs @ SV43 @ SV16 )
| ( rinvS @ SV16 @ SV43 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(269,plain,
! [SV17: $i] :
( ( ( ~ ( cUnsatisfiable @ SV17 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY96 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY96 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY96 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(270,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY100 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY100 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY100 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(271,plain,
! [SV44: $i,SV18: $i] :
( ( ( ( SV18 != SV44 )
| ~ ( cp @ SV18 ) )
= $true )
| ( ( cp @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(272,plain,
! [SV64: $i,SV45: $i,SV19: $i] :
( ( ( ~ ( ( SV19 != SV45 )
| ~ ( rinvF1 @ SV64 @ SV19 ) ) )
= $false )
| ( ( rinvF1 @ SV64 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(273,plain,
! [SV65: $i,SV47: $i,SV21: $i] :
( ( ( ~ ( ( SV21 != SV47 )
| ~ ( rf @ SV65 @ SV21 ) ) )
= $false )
| ( ( rf @ SV65 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(274,plain,
! [SV66: $i,SV48: $i,SV22: $i] :
( ( ( ~ ( ( SV22 != SV48 )
| ~ ( rinvS @ SV22 @ SV66 ) ) )
= $false )
| ( ( rinvS @ SV48 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(275,plain,
! [SV49: $i,SV23: $i] :
( ( ( ( SV23 != SV49 )
| ~ ( xsd_integer @ SV23 ) )
= $true )
| ( ( xsd_integer @ SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(276,plain,
! [SV67: $i,SV50: $i,SV24: $i] :
( ( ( ~ ( ( SV24 != SV50 )
| ~ ( rinvS @ SV67 @ SV24 ) ) )
= $false )
| ( ( rinvS @ SV67 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(277,plain,
! [SV68: $i,SV51: $i,SV25: $i] :
( ( ( ~ ( ( SV25 != SV51 )
| ~ ( rf @ SV25 @ SV68 ) ) )
= $false )
| ( ( rf @ SV51 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(278,plain,
! [SV69: $i,SV52: $i,SV26: $i] :
( ( ( ~ ( ( SV26 != SV52 )
| ~ ( rs @ SV26 @ SV69 ) ) )
= $false )
| ( ( rs @ SV52 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(279,plain,
! [SV53: $i,SV27: $i] :
( ( ~ ( rinvF1 @ SV27 @ SV53 )
| ( rf1 @ SV53 @ SV27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(280,plain,
! [SV27: $i,SV53: $i] :
( ( ~ ( rf1 @ SV53 @ SV27 )
| ( rinvF1 @ SV27 @ SV53 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(281,plain,
! [SV54: $i,SV28: $i] :
( ( ( ( SV28 != SV54 )
| ~ ( xsd_string @ SV28 ) )
= $true )
| ( ( xsd_string @ SV54 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(282,plain,
! [SV70: $i,SV55: $i,SV29: $i] :
( ( ( ~ ( ( SV29 != SV55 )
| ~ ( rs @ SV70 @ SV29 ) ) )
= $false )
| ( ( rs @ SV70 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(283,plain,
! [SV56: $i,SV30: $i,SV1: $i] :
( ( ( ~ ( rf @ SV1 @ SV30 )
| ~ ( rf @ SV1 @ SV56 ) )
= $true )
| ( ( SV30 = SV56 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(284,plain,
! [SV31: $i,SV2: $i] :
( ( ( ~ ( rinvF @ SV2 @ SV31 ) )
= $true )
| ( ( rf @ SV31 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(285,plain,
! [SV2: $i,SV31: $i] :
( ( ( ~ ( rf @ SV31 @ SV2 ) )
= $true )
| ( ( rinvF @ SV2 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(286,plain,
! [SV32: $i,SV4: $i] :
( ( ( SV4 != SV32 )
= $true )
| ( ( ~ ( cowlNothing @ SV4 ) )
= $true )
| ( ( cowlNothing @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(287,plain,
! [SV57: $i,SV34: $i,SV6: $i] :
( ( ( ( SV6 != SV34 )
| ~ ( rf1 @ SV57 @ SV6 ) )
= $true )
| ( ( rf1 @ SV57 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(288,plain,
! [SV58: $i,SV35: $i,SV7: $i] :
( ( ( ~ ( rs @ SV7 @ SV35 )
| ~ ( rs @ SV7 @ SV58 ) )
= $true )
| ( ( SV35 = SV58 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(289,plain,
! [SV59: $i,SV36: $i,SV8: $i] :
( ( ( ( SV8 != SV36 )
| ~ ( rinvF @ SV8 @ SV59 ) )
= $true )
| ( ( rinvF @ SV36 @ SV59 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(290,plain,
! [SV37: $i,SV9: $i] :
( ( ( SV9 != SV37 )
= $true )
| ( ( ~ ( cUnsatisfiable @ SV9 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(291,plain,
! [SV60: $i,SV38: $i,SV10: $i] :
( ( ( ( SV10 != SV38 )
| ~ ( rf1 @ SV10 @ SV60 ) )
= $true )
| ( ( rf1 @ SV38 @ SV60 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(292,plain,
! [SV61: $i,SV39: $i,SV11: $i] :
( ( ( ( SV11 != SV39 )
| ~ ( rinvF1 @ SV11 @ SV61 ) )
= $true )
| ( ( rinvF1 @ SV39 @ SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(293,plain,
! [SV62: $i,SV40: $i,SV12: $i] :
( ( ( ( SV12 != SV40 )
| ~ ( rinvF @ SV62 @ SV12 ) )
= $true )
| ( ( rinvF @ SV62 @ SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(294,plain,
! [SV13: $i] :
( ( ( xsd_string @ SV13 )
= $false )
| ( ( ~ ( xsd_integer @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(295,plain,
! [SV13: $i] :
( ( ( ~ ( xsd_integer @ SV13 ) )
= $false )
| ( ( xsd_string @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(296,plain,
! [SV63: $i,SV41: $i,SV14: $i] :
( ( ( ~ ( rf1 @ SV14 @ SV41 )
| ~ ( rf1 @ SV14 @ SV63 ) )
= $true )
| ( ( SV41 = SV63 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(297,plain,
! [SV42: $i,SV15: $i] :
( ( ( SV15 != SV42 )
= $true )
| ( ( ~ ( cowlThing @ SV15 ) )
= $true )
| ( ( cowlThing @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(298,plain,
! [SV43: $i,SV16: $i] :
( ( ( ~ ( rinvS @ SV16 @ SV43 ) )
= $true )
| ( ( rs @ SV43 @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(299,plain,
! [SV16: $i,SV43: $i] :
( ( ( ~ ( rs @ SV43 @ SV16 ) )
= $true )
| ( ( rinvS @ SV16 @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(300,plain,
! [SV17: $i] :
( ( ( cUnsatisfiable @ SV17 )
= $false )
| ( ( ~ ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY96 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY96 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY96 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(301,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY100 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY100 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY100 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(302,plain,
! [SV44: $i,SV18: $i] :
( ( ( SV18 != SV44 )
= $true )
| ( ( ~ ( cp @ SV18 ) )
= $true )
| ( ( cp @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(303,plain,
! [SV64: $i,SV45: $i,SV19: $i] :
( ( ( ( SV19 != SV45 )
| ~ ( rinvF1 @ SV64 @ SV19 ) )
= $true )
| ( ( rinvF1 @ SV64 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(304,plain,
! [SV65: $i,SV47: $i,SV21: $i] :
( ( ( ( SV21 != SV47 )
| ~ ( rf @ SV65 @ SV21 ) )
= $true )
| ( ( rf @ SV65 @ SV47 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(305,plain,
! [SV66: $i,SV48: $i,SV22: $i] :
( ( ( ( SV22 != SV48 )
| ~ ( rinvS @ SV22 @ SV66 ) )
= $true )
| ( ( rinvS @ SV48 @ SV66 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(306,plain,
! [SV49: $i,SV23: $i] :
( ( ( SV23 != SV49 )
= $true )
| ( ( ~ ( xsd_integer @ SV23 ) )
= $true )
| ( ( xsd_integer @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(307,plain,
! [SV67: $i,SV50: $i,SV24: $i] :
( ( ( ( SV24 != SV50 )
| ~ ( rinvS @ SV67 @ SV24 ) )
= $true )
| ( ( rinvS @ SV67 @ SV50 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(308,plain,
! [SV68: $i,SV51: $i,SV25: $i] :
( ( ( ( SV25 != SV51 )
| ~ ( rf @ SV25 @ SV68 ) )
= $true )
| ( ( rf @ SV51 @ SV68 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(309,plain,
! [SV69: $i,SV52: $i,SV26: $i] :
( ( ( ( SV26 != SV52 )
| ~ ( rs @ SV26 @ SV69 ) )
= $true )
| ( ( rs @ SV52 @ SV69 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(310,plain,
! [SV53: $i,SV27: $i] :
( ( ( ~ ( rinvF1 @ SV27 @ SV53 ) )
= $true )
| ( ( rf1 @ SV53 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(311,plain,
! [SV27: $i,SV53: $i] :
( ( ( ~ ( rf1 @ SV53 @ SV27 ) )
= $true )
| ( ( rinvF1 @ SV27 @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(312,plain,
! [SV54: $i,SV28: $i] :
( ( ( SV28 != SV54 )
= $true )
| ( ( ~ ( xsd_string @ SV28 ) )
= $true )
| ( ( xsd_string @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(313,plain,
! [SV70: $i,SV55: $i,SV29: $i] :
( ( ( ( SV29 != SV55 )
| ~ ( rs @ SV70 @ SV29 ) )
= $true )
| ( ( rs @ SV70 @ SV55 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(314,plain,
! [SV56: $i,SV30: $i,SV1: $i] :
( ( ( ~ ( rf @ SV1 @ SV30 ) )
= $true )
| ( ( ~ ( rf @ SV1 @ SV56 ) )
= $true )
| ( ( SV30 = SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(315,plain,
! [SV31: $i,SV2: $i] :
( ( ( rinvF @ SV2 @ SV31 )
= $false )
| ( ( rf @ SV31 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(316,plain,
! [SV2: $i,SV31: $i] :
( ( ( rf @ SV31 @ SV2 )
= $false )
| ( ( rinvF @ SV2 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(317,plain,
! [SV32: $i,SV4: $i] :
( ( ( SV4 = SV32 )
= $false )
| ( ( ~ ( cowlNothing @ SV4 ) )
= $true )
| ( ( cowlNothing @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(318,plain,
! [SV57: $i,SV34: $i,SV6: $i] :
( ( ( SV6 != SV34 )
= $true )
| ( ( ~ ( rf1 @ SV57 @ SV6 ) )
= $true )
| ( ( rf1 @ SV57 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(319,plain,
! [SV58: $i,SV35: $i,SV7: $i] :
( ( ( ~ ( rs @ SV7 @ SV35 ) )
= $true )
| ( ( ~ ( rs @ SV7 @ SV58 ) )
= $true )
| ( ( SV35 = SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(320,plain,
! [SV59: $i,SV36: $i,SV8: $i] :
( ( ( SV8 != SV36 )
= $true )
| ( ( ~ ( rinvF @ SV8 @ SV59 ) )
= $true )
| ( ( rinvF @ SV36 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(321,plain,
! [SV37: $i,SV9: $i] :
( ( ( SV9 = SV37 )
= $false )
| ( ( ~ ( cUnsatisfiable @ SV9 ) )
= $true )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(322,plain,
! [SV60: $i,SV38: $i,SV10: $i] :
( ( ( SV10 != SV38 )
= $true )
| ( ( ~ ( rf1 @ SV10 @ SV60 ) )
= $true )
| ( ( rf1 @ SV38 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(323,plain,
! [SV61: $i,SV39: $i,SV11: $i] :
( ( ( SV11 != SV39 )
= $true )
| ( ( ~ ( rinvF1 @ SV11 @ SV61 ) )
= $true )
| ( ( rinvF1 @ SV39 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(324,plain,
! [SV62: $i,SV40: $i,SV12: $i] :
( ( ( SV12 != SV40 )
= $true )
| ( ( ~ ( rinvF @ SV62 @ SV12 ) )
= $true )
| ( ( rinvF @ SV62 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(325,plain,
! [SV13: $i] :
( ( ( xsd_integer @ SV13 )
= $false )
| ( ( xsd_string @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(326,plain,
! [SV13: $i] :
( ( ( xsd_integer @ SV13 )
= $true )
| ( ( xsd_string @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(327,plain,
! [SV63: $i,SV41: $i,SV14: $i] :
( ( ( ~ ( rf1 @ SV14 @ SV41 ) )
= $true )
| ( ( ~ ( rf1 @ SV14 @ SV63 ) )
= $true )
| ( ( SV41 = SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(328,plain,
! [SV42: $i,SV15: $i] :
( ( ( SV15 = SV42 )
= $false )
| ( ( ~ ( cowlThing @ SV15 ) )
= $true )
| ( ( cowlThing @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(329,plain,
! [SV43: $i,SV16: $i] :
( ( ( rinvS @ SV16 @ SV43 )
= $false )
| ( ( rs @ SV43 @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(330,plain,
! [SV16: $i,SV43: $i] :
( ( ( rs @ SV43 @ SV16 )
= $false )
| ( ( rinvS @ SV16 @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(331,plain,
! [SV17: $i] :
( ( ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY96 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY96 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY96 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(332,plain,
! [SV17: $i] :
( ( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY100 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY100 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY100 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
| ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(333,plain,
! [SV44: $i,SV18: $i] :
( ( ( SV18 = SV44 )
= $false )
| ( ( ~ ( cp @ SV18 ) )
= $true )
| ( ( cp @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(334,plain,
! [SV64: $i,SV45: $i,SV19: $i] :
( ( ( SV19 != SV45 )
= $true )
| ( ( ~ ( rinvF1 @ SV64 @ SV19 ) )
= $true )
| ( ( rinvF1 @ SV64 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(335,plain,
! [SV65: $i,SV47: $i,SV21: $i] :
( ( ( SV21 != SV47 )
= $true )
| ( ( ~ ( rf @ SV65 @ SV21 ) )
= $true )
| ( ( rf @ SV65 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(336,plain,
! [SV66: $i,SV48: $i,SV22: $i] :
( ( ( SV22 != SV48 )
= $true )
| ( ( ~ ( rinvS @ SV22 @ SV66 ) )
= $true )
| ( ( rinvS @ SV48 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(337,plain,
! [SV49: $i,SV23: $i] :
( ( ( SV23 = SV49 )
= $false )
| ( ( ~ ( xsd_integer @ SV23 ) )
= $true )
| ( ( xsd_integer @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(338,plain,
! [SV67: $i,SV50: $i,SV24: $i] :
( ( ( SV24 != SV50 )
= $true )
| ( ( ~ ( rinvS @ SV67 @ SV24 ) )
= $true )
| ( ( rinvS @ SV67 @ SV50 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(339,plain,
! [SV68: $i,SV51: $i,SV25: $i] :
( ( ( SV25 != SV51 )
= $true )
| ( ( ~ ( rf @ SV25 @ SV68 ) )
= $true )
| ( ( rf @ SV51 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(340,plain,
! [SV69: $i,SV52: $i,SV26: $i] :
( ( ( SV26 != SV52 )
= $true )
| ( ( ~ ( rs @ SV26 @ SV69 ) )
= $true )
| ( ( rs @ SV52 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(341,plain,
! [SV53: $i,SV27: $i] :
( ( ( rinvF1 @ SV27 @ SV53 )
= $false )
| ( ( rf1 @ SV53 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(342,plain,
! [SV27: $i,SV53: $i] :
( ( ( rf1 @ SV53 @ SV27 )
= $false )
| ( ( rinvF1 @ SV27 @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(343,plain,
! [SV54: $i,SV28: $i] :
( ( ( SV28 = SV54 )
= $false )
| ( ( ~ ( xsd_string @ SV28 ) )
= $true )
| ( ( xsd_string @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(344,plain,
! [SV70: $i,SV55: $i,SV29: $i] :
( ( ( SV29 != SV55 )
= $true )
| ( ( ~ ( rs @ SV70 @ SV29 ) )
= $true )
| ( ( rs @ SV70 @ SV55 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(345,plain,
! [SV56: $i,SV30: $i,SV1: $i] :
( ( ( rf @ SV1 @ SV30 )
= $false )
| ( ( ~ ( rf @ SV1 @ SV56 ) )
= $true )
| ( ( SV30 = SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(346,plain,
! [SV32: $i,SV4: $i] :
( ( ( cowlNothing @ SV4 )
= $false )
| ( ( SV4 = SV32 )
= $false )
| ( ( cowlNothing @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(347,plain,
! [SV57: $i,SV34: $i,SV6: $i] :
( ( ( SV6 = SV34 )
= $false )
| ( ( ~ ( rf1 @ SV57 @ SV6 ) )
= $true )
| ( ( rf1 @ SV57 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(348,plain,
! [SV58: $i,SV35: $i,SV7: $i] :
( ( ( rs @ SV7 @ SV35 )
= $false )
| ( ( ~ ( rs @ SV7 @ SV58 ) )
= $true )
| ( ( SV35 = SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(349,plain,
! [SV59: $i,SV36: $i,SV8: $i] :
( ( ( SV8 = SV36 )
= $false )
| ( ( ~ ( rinvF @ SV8 @ SV59 ) )
= $true )
| ( ( rinvF @ SV36 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(350,plain,
! [SV37: $i,SV9: $i] :
( ( ( cUnsatisfiable @ SV9 )
= $false )
| ( ( SV9 = SV37 )
= $false )
| ( ( cUnsatisfiable @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(351,plain,
! [SV60: $i,SV38: $i,SV10: $i] :
( ( ( SV10 = SV38 )
= $false )
| ( ( ~ ( rf1 @ SV10 @ SV60 ) )
= $true )
| ( ( rf1 @ SV38 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(352,plain,
! [SV61: $i,SV39: $i,SV11: $i] :
( ( ( SV11 = SV39 )
= $false )
| ( ( ~ ( rinvF1 @ SV11 @ SV61 ) )
= $true )
| ( ( rinvF1 @ SV39 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(353,plain,
! [SV62: $i,SV40: $i,SV12: $i] :
( ( ( SV12 = SV40 )
= $false )
| ( ( ~ ( rinvF @ SV62 @ SV12 ) )
= $true )
| ( ( rinvF @ SV62 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(354,plain,
! [SV63: $i,SV41: $i,SV14: $i] :
( ( ( rf1 @ SV14 @ SV41 )
= $false )
| ( ( ~ ( rf1 @ SV14 @ SV63 ) )
= $true )
| ( ( SV41 = SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(355,plain,
! [SV42: $i,SV15: $i] :
( ( ( cowlThing @ SV15 )
= $false )
| ( ( SV15 = SV42 )
= $false )
| ( ( cowlThing @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(356,plain,
! [SV17: $i] :
( ( ( ~ ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY96 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY96 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY96 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(357,plain,
! [SV17: $i] :
( ( ( ~ ~ ( cp @ SV17 ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(358,plain,
! [SV17: $i] :
( ( ( ~ ~ ! [SY100: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY100 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY100 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY100 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(359,plain,
! [SV44: $i,SV18: $i] :
( ( ( cp @ SV18 )
= $false )
| ( ( SV18 = SV44 )
= $false )
| ( ( cp @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(360,plain,
! [SV64: $i,SV45: $i,SV19: $i] :
( ( ( SV19 = SV45 )
= $false )
| ( ( ~ ( rinvF1 @ SV64 @ SV19 ) )
= $true )
| ( ( rinvF1 @ SV64 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(361,plain,
! [SV65: $i,SV47: $i,SV21: $i] :
( ( ( SV21 = SV47 )
= $false )
| ( ( ~ ( rf @ SV65 @ SV21 ) )
= $true )
| ( ( rf @ SV65 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(362,plain,
! [SV66: $i,SV48: $i,SV22: $i] :
( ( ( SV22 = SV48 )
= $false )
| ( ( ~ ( rinvS @ SV22 @ SV66 ) )
= $true )
| ( ( rinvS @ SV48 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(363,plain,
! [SV49: $i,SV23: $i] :
( ( ( xsd_integer @ SV23 )
= $false )
| ( ( SV23 = SV49 )
= $false )
| ( ( xsd_integer @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(364,plain,
! [SV67: $i,SV50: $i,SV24: $i] :
( ( ( SV24 = SV50 )
= $false )
| ( ( ~ ( rinvS @ SV67 @ SV24 ) )
= $true )
| ( ( rinvS @ SV67 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(365,plain,
! [SV68: $i,SV51: $i,SV25: $i] :
( ( ( SV25 = SV51 )
= $false )
| ( ( ~ ( rf @ SV25 @ SV68 ) )
= $true )
| ( ( rf @ SV51 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(366,plain,
! [SV69: $i,SV52: $i,SV26: $i] :
( ( ( SV26 = SV52 )
= $false )
| ( ( ~ ( rs @ SV26 @ SV69 ) )
= $true )
| ( ( rs @ SV52 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(367,plain,
! [SV54: $i,SV28: $i] :
( ( ( xsd_string @ SV28 )
= $false )
| ( ( SV28 = SV54 )
= $false )
| ( ( xsd_string @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(368,plain,
! [SV70: $i,SV55: $i,SV29: $i] :
( ( ( SV29 = SV55 )
= $false )
| ( ( ~ ( rs @ SV70 @ SV29 ) )
= $true )
| ( ( rs @ SV70 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(369,plain,
! [SV30: $i,SV56: $i,SV1: $i] :
( ( ( rf @ SV1 @ SV56 )
= $false )
| ( ( rf @ SV1 @ SV30 )
= $false )
| ( ( SV30 = SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(370,plain,
! [SV34: $i,SV6: $i,SV57: $i] :
( ( ( rf1 @ SV57 @ SV6 )
= $false )
| ( ( SV6 = SV34 )
= $false )
| ( ( rf1 @ SV57 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(371,plain,
! [SV35: $i,SV58: $i,SV7: $i] :
( ( ( rs @ SV7 @ SV58 )
= $false )
| ( ( rs @ SV7 @ SV35 )
= $false )
| ( ( SV35 = SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(372,plain,
! [SV36: $i,SV59: $i,SV8: $i] :
( ( ( rinvF @ SV8 @ SV59 )
= $false )
| ( ( SV8 = SV36 )
= $false )
| ( ( rinvF @ SV36 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(373,plain,
! [SV38: $i,SV60: $i,SV10: $i] :
( ( ( rf1 @ SV10 @ SV60 )
= $false )
| ( ( SV10 = SV38 )
= $false )
| ( ( rf1 @ SV38 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(374,plain,
! [SV39: $i,SV61: $i,SV11: $i] :
( ( ( rinvF1 @ SV11 @ SV61 )
= $false )
| ( ( SV11 = SV39 )
= $false )
| ( ( rinvF1 @ SV39 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(375,plain,
! [SV40: $i,SV12: $i,SV62: $i] :
( ( ( rinvF @ SV62 @ SV12 )
= $false )
| ( ( SV12 = SV40 )
= $false )
| ( ( rinvF @ SV62 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(376,plain,
! [SV41: $i,SV63: $i,SV14: $i] :
( ( ( rf1 @ SV14 @ SV63 )
= $false )
| ( ( rf1 @ SV14 @ SV41 )
= $false )
| ( ( SV41 = SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(377,plain,
! [SV17: $i] :
( ( ( ~ ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY96 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY96 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY96 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(378,plain,
! [SV17: $i] :
( ( ( ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(379,plain,
! [SV17: $i] :
( ( ( ~ ! [SY100: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY100 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY100 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY100 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(380,plain,
! [SV45: $i,SV19: $i,SV64: $i] :
( ( ( rinvF1 @ SV64 @ SV19 )
= $false )
| ( ( SV19 = SV45 )
= $false )
| ( ( rinvF1 @ SV64 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(381,plain,
! [SV47: $i,SV21: $i,SV65: $i] :
( ( ( rf @ SV65 @ SV21 )
= $false )
| ( ( SV21 = SV47 )
= $false )
| ( ( rf @ SV65 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(382,plain,
! [SV48: $i,SV66: $i,SV22: $i] :
( ( ( rinvS @ SV22 @ SV66 )
= $false )
| ( ( SV22 = SV48 )
= $false )
| ( ( rinvS @ SV48 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(383,plain,
! [SV50: $i,SV24: $i,SV67: $i] :
( ( ( rinvS @ SV67 @ SV24 )
= $false )
| ( ( SV24 = SV50 )
= $false )
| ( ( rinvS @ SV67 @ SV50 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(384,plain,
! [SV51: $i,SV68: $i,SV25: $i] :
( ( ( rf @ SV25 @ SV68 )
= $false )
| ( ( SV25 = SV51 )
= $false )
| ( ( rf @ SV51 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(385,plain,
! [SV52: $i,SV69: $i,SV26: $i] :
( ( ( rs @ SV26 @ SV69 )
= $false )
| ( ( SV26 = SV52 )
= $false )
| ( ( rs @ SV52 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(386,plain,
! [SV55: $i,SV29: $i,SV70: $i] :
( ( ( rs @ SV70 @ SV29 )
= $false )
| ( ( SV29 = SV55 )
= $false )
| ( ( rs @ SV70 @ SV55 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(387,plain,
! [SV17: $i] :
( ( ( ! [SY96: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY96 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY96 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY96 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(388,plain,
! [SV17: $i] :
( ( ( cp @ SV17 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(389,plain,
! [SV17: $i] :
( ( ( ! [SY100: $i] :
~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SY100 )
| ~ ! [SX2: $i] :
( ~ ( rinvS @ SY100 @ SX2 )
| ( cp @ SX2 ) ) )
| ~ ! [SX2: $i] :
( ~ ( rinvF @ SY100 @ SX2 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SX2 @ SX3 )
| ~ ( cp @ SX3 ) ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(390,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ ( sK1_SY96 @ SV17 ) )
| ~ ! [SY138: $i] :
( ~ ( rinvS @ ( sK1_SY96 @ SV17 ) @ SY138 )
| ( cp @ SY138 ) ) )
| ~ ! [SY139: $i] :
( ~ ( rinvF @ ( sK1_SY96 @ SV17 ) @ SY139 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY139 @ SX3 )
| ~ ( cp @ SX3 ) ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[387]) ).
thf(391,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( rf @ SV17 @ SV71 )
| ~ ! [SY141: $i] :
( ~ ( rinvS @ SV71 @ SY141 )
| ( cp @ SY141 ) ) )
| ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(392,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ( rf @ SV17 @ ( sK1_SY96 @ SV17 ) )
| ~ ! [SY138: $i] :
( ~ ( rinvS @ ( sK1_SY96 @ SV17 ) @ SY138 )
| ( cp @ SY138 ) ) )
| ~ ! [SY139: $i] :
( ~ ( rinvF @ ( sK1_SY96 @ SV17 ) @ SY139 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY139 @ SX3 )
| ~ ( cp @ SX3 ) ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[390]) ).
thf(393,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ( rf @ SV17 @ SV71 )
| ~ ! [SY141: $i] :
( ~ ( rinvS @ SV71 @ SY141 )
| ( cp @ SY141 ) ) )
| ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(394,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ( rf @ SV17 @ ( sK1_SY96 @ SV17 ) )
| ~ ! [SY138: $i] :
( ~ ( rinvS @ ( sK1_SY96 @ SV17 ) @ SY138 )
| ( cp @ SY138 ) ) )
| ~ ! [SY139: $i] :
( ~ ( rinvF @ ( sK1_SY96 @ SV17 ) @ SY139 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY139 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(395,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( rf @ SV17 @ SV71 )
| ~ ! [SY141: $i] :
( ~ ( rinvS @ SV71 @ SY141 )
| ( cp @ SY141 ) ) )
| ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(396,plain,
! [SV17: $i] :
( ( ( ~ ~ ( ~ ( rf @ SV17 @ ( sK1_SY96 @ SV17 ) )
| ~ ! [SY138: $i] :
( ~ ( rinvS @ ( sK1_SY96 @ SV17 ) @ SY138 )
| ( cp @ SY138 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(397,plain,
! [SV17: $i] :
( ( ( ~ ! [SY139: $i] :
( ~ ( rinvF @ ( sK1_SY96 @ SV17 ) @ SY139 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY139 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[394]) ).
thf(398,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( rf @ SV17 @ SV71 )
| ~ ! [SY141: $i] :
( ~ ( rinvS @ SV71 @ SY141 )
| ( cp @ SY141 ) ) ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(399,plain,
! [SV17: $i] :
( ( ( ~ ( ~ ( rf @ SV17 @ ( sK1_SY96 @ SV17 ) )
| ~ ! [SY138: $i] :
( ~ ( rinvS @ ( sK1_SY96 @ SV17 ) @ SY138 )
| ( cp @ SY138 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[396]) ).
thf(400,plain,
! [SV17: $i] :
( ( ( ! [SY139: $i] :
( ~ ( rinvF @ ( sK1_SY96 @ SV17 ) @ SY139 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY139 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[397]) ).
thf(401,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ( ~ ( rf @ SV17 @ SV71 )
| ~ ! [SY141: $i] :
( ~ ( rinvS @ SV71 @ SY141 )
| ( cp @ SY141 ) ) ) )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(402,plain,
! [SV17: $i] :
( ( ( ~ ( rf @ SV17 @ ( sK1_SY96 @ SV17 ) )
| ~ ! [SY138: $i] :
( ~ ( rinvS @ ( sK1_SY96 @ SV17 ) @ SY138 )
| ( cp @ SY138 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(403,plain,
! [SV72: $i,SV17: $i] :
( ( ( ~ ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 )
| ~ ! [SY144: $i] :
~ ~ ( ~ ( rs @ SV72 @ SY144 )
| ~ ( cp @ SY144 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(404,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ( rf @ SV17 @ SV71 )
| ~ ! [SY141: $i] :
( ~ ( rinvS @ SV71 @ SY141 )
| ( cp @ SY141 ) ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(405,plain,
! [SV17: $i] :
( ( ( ~ ( rf @ SV17 @ ( sK1_SY96 @ SV17 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(406,plain,
! [SV17: $i] :
( ( ( ~ ! [SY138: $i] :
( ~ ( rinvS @ ( sK1_SY96 @ SV17 ) @ SY138 )
| ( cp @ SY138 ) ) )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(407,plain,
! [SV72: $i,SV17: $i] :
( ( ( ~ ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 ) )
= $true )
| ( ( ~ ! [SY144: $i] :
~ ~ ( ~ ( rs @ SV72 @ SY144 )
| ~ ( cp @ SY144 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(408,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ( rf @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ! [SY141: $i] :
( ~ ( rinvS @ SV71 @ SY141 )
| ( cp @ SY141 ) ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(409,plain,
! [SV17: $i] :
( ( ( rf @ SV17 @ ( sK1_SY96 @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(410,plain,
! [SV17: $i] :
( ( ( ! [SY138: $i] :
( ~ ( rinvS @ ( sK1_SY96 @ SV17 ) @ SY138 )
| ( cp @ SY138 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(411,plain,
! [SV72: $i,SV17: $i] :
( ( ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 )
= $false )
| ( ( ~ ! [SY144: $i] :
~ ~ ( ~ ( rs @ SV72 @ SY144 )
| ~ ( cp @ SY144 ) ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(412,plain,
! [SV71: $i,SV17: $i] :
( ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( ~ ! [SY141: $i] :
( ~ ( rinvS @ SV71 @ SY141 )
| ( cp @ SY141 ) ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(413,plain,
! [SV73: $i,SV17: $i] :
( ( ( ~ ( rinvS @ ( sK1_SY96 @ SV17 ) @ SV73 )
| ( cp @ SV73 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(414,plain,
! [SV17: $i,SV72: $i] :
( ( ( ! [SY144: $i] :
~ ~ ( ~ ( rs @ SV72 @ SY144 )
| ~ ( cp @ SY144 ) ) )
= $false )
| ( ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(415,plain,
! [SV17: $i,SV71: $i] :
( ( ( ! [SY141: $i] :
( ~ ( rinvS @ SV71 @ SY141 )
| ( cp @ SY141 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(416,plain,
! [SV73: $i,SV17: $i] :
( ( ( ~ ( rinvS @ ( sK1_SY96 @ SV17 ) @ SV73 ) )
= $true )
| ( ( cp @ SV73 )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(417,plain,
! [SV17: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ( rs @ SV72 @ ( sK2_SY144 @ SV17 @ SV72 ) )
| ~ ( cp @ ( sK2_SY144 @ SV17 @ SV72 ) ) ) )
= $false )
| ( ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[414]) ).
thf(418,plain,
! [SV17: $i,SV71: $i] :
( ( ( ~ ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
| ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[415]) ).
thf(419,plain,
! [SV73: $i,SV17: $i] :
( ( ( rinvS @ ( sK1_SY96 @ SV17 ) @ SV73 )
= $false )
| ( ( cp @ SV73 )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(420,plain,
! [SV17: $i,SV72: $i] :
( ( ( ~ ( ~ ( rs @ SV72 @ ( sK2_SY144 @ SV17 @ SV72 ) )
| ~ ( cp @ ( sK2_SY144 @ SV17 @ SV72 ) ) ) )
= $true )
| ( ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(421,plain,
! [SV17: $i,SV71: $i] :
( ( ( ~ ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(422,plain,
! [SV71: $i,SV17: $i] :
( ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[418]) ).
thf(423,plain,
! [SV17: $i,SV72: $i] :
( ( ( ~ ( rs @ SV72 @ ( sK2_SY144 @ SV17 @ SV72 ) )
| ~ ( cp @ ( sK2_SY144 @ SV17 @ SV72 ) ) )
= $false )
| ( ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(424,plain,
! [SV17: $i,SV71: $i] :
( ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(425,plain,
! [SV17: $i,SV71: $i] :
( ( ( ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(426,plain,
! [SV17: $i,SV72: $i] :
( ( ( ~ ( rs @ SV72 @ ( sK2_SY144 @ SV17 @ SV72 ) ) )
= $false )
| ( ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(427,plain,
! [SV72: $i,SV17: $i] :
( ( ( ~ ( cp @ ( sK2_SY144 @ SV17 @ SV72 ) ) )
= $false )
| ( ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(428,plain,
! [SV17: $i,SV71: $i] :
( ( ( ! [SY142: $i] :
( ~ ( rinvF @ SV71 @ SY142 )
| ~ ! [SX3: $i] :
~ ~ ( ~ ( rs @ SY142 @ SX3 )
| ~ ( cp @ SX3 ) ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(429,plain,
! [SV17: $i,SV71: $i] :
( ( ( ~ ( rinvF @ SV71 @ ( sK4_SY142 @ SV17 @ SV71 ) )
| ~ ! [SY145: $i] :
~ ~ ( ~ ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SY145 )
| ~ ( cp @ SY145 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[425]) ).
thf(430,plain,
! [SV17: $i,SV72: $i] :
( ( ( rs @ SV72 @ ( sK2_SY144 @ SV17 @ SV72 ) )
= $true )
| ( ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(431,plain,
! [SV72: $i,SV17: $i] :
( ( ( cp @ ( sK2_SY144 @ SV17 @ SV72 ) )
= $true )
| ( ( rinvF @ ( sK1_SY96 @ SV17 ) @ SV72 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(432,plain,
! [SV17: $i,SV71: $i] :
( ( ( ~ ( rinvF @ SV71 @ ( sK5_SY142 @ SV17 @ SV71 ) )
| ~ ! [SY146: $i] :
~ ~ ( ~ ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SY146 )
| ~ ( cp @ SY146 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[428]) ).
thf(433,plain,
! [SV17: $i,SV71: $i] :
( ( ( ~ ( rinvF @ SV71 @ ( sK4_SY142 @ SV17 @ SV71 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(434,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ! [SY145: $i] :
~ ~ ( ~ ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SY145 )
| ~ ( cp @ SY145 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(435,plain,
! [SV17: $i,SV71: $i] :
( ( ( ~ ( rinvF @ SV71 @ ( sK5_SY142 @ SV17 @ SV71 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(436,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ! [SY146: $i] :
~ ~ ( ~ ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SY146 )
| ~ ( cp @ SY146 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(437,plain,
! [SV17: $i,SV71: $i] :
( ( ( rinvF @ SV71 @ ( sK4_SY142 @ SV17 @ SV71 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(438,plain,
! [SV71: $i,SV17: $i] :
( ( ( ! [SY145: $i] :
~ ~ ( ~ ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SY145 )
| ~ ( cp @ SY145 ) ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(439,plain,
! [SV17: $i,SV71: $i] :
( ( ( rinvF @ SV71 @ ( sK5_SY142 @ SV17 @ SV71 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(440,plain,
! [SV71: $i,SV17: $i] :
( ( ( ! [SY146: $i] :
~ ~ ( ~ ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SY146 )
| ~ ( cp @ SY146 ) ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(441,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ( cp @ SV17 ) )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvF @ SV71 @ ( sK4_SY142 @ SV17 @ SV71 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(442,plain,
! [SV74: $i,SV71: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SV74 )
| ~ ( cp @ SV74 ) ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(443,plain,
! [SV71: $i,SV17: $i] :
( ( ( ~ ( cp @ SV17 ) )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvF @ SV71 @ ( sK5_SY142 @ SV17 @ SV71 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(444,plain,
! [SV75: $i,SV71: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SV75 )
| ~ ( cp @ SV75 ) ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(445,plain,
! [SV71: $i,SV17: $i] :
( ( ( cp @ SV17 )
= $true )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvF @ SV71 @ ( sK4_SY142 @ SV17 @ SV71 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(446,plain,
! [SV74: $i,SV71: $i,SV17: $i] :
( ( ( ~ ( ~ ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SV74 )
| ~ ( cp @ SV74 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(447,plain,
! [SV71: $i,SV17: $i] :
( ( ( cp @ SV17 )
= $true )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvF @ SV71 @ ( sK5_SY142 @ SV17 @ SV71 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(448,plain,
! [SV75: $i,SV71: $i,SV17: $i] :
( ( ( ~ ( ~ ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SV75 )
| ~ ( cp @ SV75 ) ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(449,plain,
! [SV74: $i,SV71: $i,SV17: $i] :
( ( ( ~ ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SV74 )
| ~ ( cp @ SV74 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(450,plain,
! [SV75: $i,SV71: $i,SV17: $i] :
( ( ( ~ ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SV75 )
| ~ ( cp @ SV75 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(451,plain,
! [SV74: $i,SV71: $i,SV17: $i] :
( ( ( ~ ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SV74 ) )
= $true )
| ( ( ~ ( cp @ SV74 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(452,plain,
! [SV75: $i,SV71: $i,SV17: $i] :
( ( ( ~ ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SV75 ) )
= $true )
| ( ( ~ ( cp @ SV75 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(453,plain,
! [SV74: $i,SV71: $i,SV17: $i] :
( ( ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SV74 )
= $false )
| ( ( ~ ( cp @ SV74 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(454,plain,
! [SV75: $i,SV71: $i,SV17: $i] :
( ( ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SV75 )
= $false )
| ( ( ~ ( cp @ SV75 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(455,plain,
! [SV71: $i,SV17: $i,SV74: $i] :
( ( ( cp @ SV74 )
= $false )
| ( ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SV74 )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(456,plain,
! [SV71: $i,SV17: $i,SV75: $i] :
( ( ( cp @ SV75 )
= $false )
| ( ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SV75 )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( ~ ~ ( cp @ SV17 ) )
= $true )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(457,plain,
! [SV74: $i,SV71: $i,SV17: $i] :
( ( ( ~ ( cp @ SV17 ) )
= $false )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SV74 )
= $false )
| ( ( cp @ SV74 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(458,plain,
! [SV75: $i,SV71: $i,SV17: $i] :
( ( ( ~ ( cp @ SV17 ) )
= $false )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SV75 )
= $false )
| ( ( cp @ SV75 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(459,plain,
! [SV74: $i,SV71: $i,SV17: $i] :
( ( ( cp @ SV17 )
= $true )
| ( ( cp @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $false )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rs @ ( sK4_SY142 @ SV17 @ SV71 ) @ SV74 )
= $false )
| ( ( cp @ SV74 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(460,plain,
! [SV75: $i,SV71: $i,SV17: $i] :
( ( ( cp @ SV17 )
= $true )
| ( ( rinvS @ SV71 @ ( sK3_SY141 @ SV17 @ SV71 ) )
= $true )
| ( ( rf @ SV17 @ SV71 )
= $false )
| ( ( rs @ ( sK5_SY142 @ SV17 @ SV71 ) @ SV75 )
= $false )
| ( ( cp @ SV75 )
= $false )
| ( ( cUnsatisfiable @ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(461,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[92,460,459,447,445,431,430,419,409,388,386,385,384,383,382,381,380,376,375,374,373,372,371,370,369,367,363,359,355,350,346,342,341,330,329,326,325,316,315,254,240,222,219,125]) ).
thf(462,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS073+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.17 % Computer : n019.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Oct 6 11:41:31 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.33
% 0.61/0.33 No.of.Axioms: 30
% 0.61/0.33
% 0.61/0.33 Length.of.Defs: 0
% 0.61/0.33
% 0.61/0.33 Contains.Choice.Funs: false
% 0.61/0.33 .............
% 0.61/0.33
% 0.61/0.33 ********************************
% 0.61/0.33 * All subproblems solved! *
% 0.61/0.33 ********************************
% 0.61/0.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:30,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:461,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.61/0.33
% 0.61/0.33 %**** Beginning of derivation protocol ****
% 0.61/0.33 % SZS output start CNFRefutation
% See solution above
% 0.61/0.33
% 0.61/0.33 %**** End of derivation protocol ****
% 0.61/0.33 %**** no. of clauses in derivation: 462 ****
% 0.61/0.33 %**** clause counter: 461 ****
% 0.61/0.33
% 0.61/0.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:30,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:461,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------