TSTP Solution File: KRS144+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS144+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 03:14:52 EDT 2022
% Result : Theorem 0.46s 0.69s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 28
% Syntax : Number of formulae : 796 ( 416 unt; 17 typ; 0 def)
% Number of atoms : 5484 (2222 equ; 0 cnn)
% Maximal formula atoms : 15 ( 7 avg)
% Number of connectives : 6723 (1803 ~;1768 |; 111 &;2999 @)
% ( 5 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 1598 ( 0 ^1584 !; 14 ?;1598 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cc,type,
cc: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_rp,type,
rp: $i > $i > $o ).
thf(tp_sK10_Y0,type,
sK10_Y0: $i > $i ).
thf(tp_sK11_SY41,type,
sK11_SY41: $i > $i ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_X,type,
sK2_X: $i ).
thf(tp_sK3_X,type,
sK3_X: $i ).
thf(tp_sK4_X,type,
sK4_X: $i ).
thf(tp_sK5_X,type,
sK5_X: $i ).
thf(tp_sK6_SY33,type,
sK6_SY33: $i ).
thf(tp_sK7_SY36,type,
sK7_SY36: $i ).
thf(tp_sK8_SY38,type,
sK8_SY38: $i ).
thf(tp_sK9_X,type,
sK9_X: $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
! [X: $i] :
( ( cc @ X )
=> ( ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( rp @ X @ Y2 ) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(2,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(3,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_string_substitution_1) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xsd_integer_substitution_1) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rp @ C @ A ) )
=> ( rp @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_2) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rp @ A @ C ) )
=> ( rp @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rp_substitution_1) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc_substitution_1) ).
thf(11,conjecture,
( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( cc @ X )
=> ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( rp @ X @ Y2 ) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) ) )
& ! [X: $i] :
( ( cc @ X )
=> ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(12,negated_conjecture,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( cc @ X )
=> ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( rp @ X @ Y2 ) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) ) )
& ! [X: $i] :
( ( cc @ X )
=> ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( cc @ X )
=> ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( rp @ X @ Y2 ) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) ) )
& ! [X: $i] :
( ( cc @ X )
=> ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [X: $i] :
( ( cc @ X )
=> ( ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) )
& ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( rp @ X @ Y2 ) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(15,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(16,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(17,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(18,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(19,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rp @ C @ A ) )
=> ( rp @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(20,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rp @ A @ C ) )
=> ( rp @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(21,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(22,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(23,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cc @ A ) )
=> ( cc @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(24,plain,
( ( ! [X: $i] : ( cowlThing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[13]) ).
thf(25,plain,
( ( ! [X: $i] :
~ ( cowlNothing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[13]) ).
thf(26,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[13]) ).
thf(27,plain,
( ( ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[13]) ).
thf(28,plain,
( ( ! [X: $i] :
( ( cc @ X )
=> ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( rp @ X @ Y2 ) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[13]) ).
thf(29,plain,
( ( ! [X: $i] :
( ( cc @ X )
=> ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[13]) ).
thf(30,plain,
( ( ~ ! [X: $i] : ( cowlThing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[24]) ).
thf(31,plain,
( ( ~ ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[25]) ).
thf(32,plain,
( ( ~ ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(33,plain,
( ( ~ ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[27]) ).
thf(34,plain,
( ( ~ ! [X: $i] :
( ( cc @ X )
=> ! [Y0: $i,Y1: $i,Y2: $i] :
( ( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( rp @ X @ Y2 ) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ! [X: $i] :
( ( cc @ X )
=> ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(37,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(38,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(39,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(40,plain,
( ( ( cc @ sK5_X )
& ( rp @ sK5_X @ sK6_SY33 )
& ( rp @ sK5_X @ sK7_SY36 )
& ( rp @ sK5_X @ sK8_SY38 )
& ( sK7_SY36 != sK8_SY38 )
& ( sK6_SY33 != sK7_SY36 )
& ( sK6_SY33 != sK8_SY38 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(41,plain,
( ( ( cc @ sK9_X )
& ! [SY39: $i,SY40: $i] :
( ( SY39 = SY40 )
| ~ ( rp @ sK9_X @ SY39 )
| ~ ( rp @ sK9_X @ SY40 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(42,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( rp @ X @ Y0 )
| ~ ( rp @ X @ Y1 )
| ~ ( rp @ X @ Y2 )
| ( Y1 = Y2 )
| ( Y0 = Y1 )
| ( Y0 = Y2 ) ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ( ( ( sK10_Y0 @ X )
!= ( sK11_SY41 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY41 @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(43,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(44,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(45,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(47,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(48,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(50,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(52,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(55,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(56,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(57,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(58,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(59,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(60,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(61,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( rp @ X @ Y0 )
| ~ ( rp @ X @ Y1 )
| ~ ( rp @ X @ Y2 )
| ( Y1 = Y2 )
| ( Y0 = Y1 )
| ( Y0 = Y2 ) ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ( ( ( sK10_Y0 @ X )
!= ( sK11_SY41 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY41 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(62,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(63,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(64,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(65,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(66,plain,
! [SV1: $i] :
( ( ! [SY42: $i] :
( ( SV1 != SY42 )
| ~ ( cc @ SV1 )
| ( cc @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(67,plain,
! [SV2: $i] :
( ( ! [SY43: $i] :
( ( SV2 != SY43 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(68,plain,
! [SV3: $i] :
( ( ! [SY44: $i] :
( ( SV3 != SY44 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(69,plain,
! [SV4: $i] :
( ( ! [SY45: $i,SY46: $i] :
( ( SV4 != SY45 )
| ~ ( rp @ SV4 @ SY46 )
| ( rp @ SY45 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(70,plain,
! [SV5: $i] :
( ( ! [SY47: $i,SY48: $i] :
( ( SV5 != SY47 )
| ~ ( rp @ SY48 @ SV5 )
| ( rp @ SY48 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(71,plain,
! [SV6: $i] :
( ( ! [SY49: $i] :
( ( SV6 != SY49 )
| ~ ( xsd_integer @ SV6 )
| ( xsd_integer @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(72,plain,
! [SV7: $i] :
( ( ! [SY50: $i] :
( ( SV7 != SY50 )
| ~ ( xsd_string @ SV7 )
| ( xsd_string @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(73,plain,
( ( cowlThing @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(74,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(75,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(76,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(77,plain,
! [SV8: $i,SV1: $i] :
( ( ( SV1 != SV8 )
| ~ ( cc @ SV1 )
| ( cc @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(78,plain,
! [SV9: $i,SV2: $i] :
( ( ( SV2 != SV9 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(79,plain,
! [SV10: $i,SV3: $i] :
( ( ( SV3 != SV10 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(80,plain,
! [SV11: $i,SV4: $i] :
( ( ! [SY51: $i] :
( ( SV4 != SV11 )
| ~ ( rp @ SV4 @ SY51 )
| ( rp @ SV11 @ SY51 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(81,plain,
! [SV12: $i,SV5: $i] :
( ( ! [SY52: $i] :
( ( SV5 != SV12 )
| ~ ( rp @ SY52 @ SV5 )
| ( rp @ SY52 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(82,plain,
! [SV13: $i,SV6: $i] :
( ( ( SV6 != SV13 )
| ~ ( xsd_integer @ SV6 )
| ( xsd_integer @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(83,plain,
! [SV14: $i,SV7: $i] :
( ( ( SV7 != SV14 )
| ~ ( xsd_string @ SV7 )
| ( xsd_string @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(84,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(85,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(86,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(87,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(88,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(89,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[76]) ).
thf(90,plain,
! [SV8: $i,SV1: $i] :
( ( ( ( SV1 != SV8 )
| ~ ( cc @ SV1 ) )
= $true )
| ( ( cc @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(91,plain,
! [SV9: $i,SV2: $i] :
( ( ( ( SV2 != SV9 )
| ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(92,plain,
! [SV10: $i,SV3: $i] :
( ( ( ( SV3 != SV10 )
| ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(93,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ( SV4 != SV11 )
| ~ ( rp @ SV4 @ SV15 )
| ( rp @ SV11 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(94,plain,
! [SV16: $i,SV12: $i,SV5: $i] :
( ( ( SV5 != SV12 )
| ~ ( rp @ SV16 @ SV5 )
| ( rp @ SV16 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(95,plain,
! [SV13: $i,SV6: $i] :
( ( ( ( SV6 != SV13 )
| ~ ( xsd_integer @ SV6 ) )
= $true )
| ( ( xsd_integer @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(96,plain,
! [SV14: $i,SV7: $i] :
( ( ( ( SV7 != SV14 )
| ~ ( xsd_string @ SV7 ) )
= $true )
| ( ( xsd_string @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(97,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(98,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(99,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(100,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(101,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(102,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(103,plain,
! [SV8: $i,SV1: $i] :
( ( ( ( SV1 != SV8 ) )
= $true )
| ( ( ~ ( cc @ SV1 ) )
= $true )
| ( ( cc @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(104,plain,
! [SV9: $i,SV2: $i] :
( ( ( ( SV2 != SV9 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(105,plain,
! [SV10: $i,SV3: $i] :
( ( ( ( SV3 != SV10 ) )
= $true )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(106,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ( ( SV4 != SV11 )
| ~ ( rp @ SV4 @ SV15 ) )
= $true )
| ( ( rp @ SV11 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(107,plain,
! [SV16: $i,SV12: $i,SV5: $i] :
( ( ( ( SV5 != SV12 )
| ~ ( rp @ SV16 @ SV5 ) )
= $true )
| ( ( rp @ SV16 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(108,plain,
! [SV13: $i,SV6: $i] :
( ( ( ( SV6 != SV13 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV6 ) )
= $true )
| ( ( xsd_integer @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[95]) ).
thf(109,plain,
! [SV14: $i,SV7: $i] :
( ( ( ( SV7 != SV14 ) )
= $true )
| ( ( ~ ( xsd_string @ SV7 ) )
= $true )
| ( ( xsd_string @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(110,plain,
! [SV17: $i] :
( ( ~ ( cc @ SV17 )
| ! [SY53: $i,SY54: $i,SY55: $i] :
( ~ ( rp @ SV17 @ SY53 )
| ~ ( rp @ SV17 @ SY54 )
| ~ ( rp @ SV17 @ SY55 )
| ( SY54 = SY55 )
| ( SY53 = SY54 )
| ( SY53 = SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(111,plain,
! [SV18: $i] :
( ( ~ ( cc @ SV18 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV18 )
!= ( sK11_SY41 @ SV18 ) ) )
| ~ ~ ( ~ ( rp @ SV18 @ ( sK10_Y0 @ SV18 ) )
| ~ ( rp @ SV18 @ ( sK11_SY41 @ SV18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV19: $i] :
( ( cowlThing @ SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(113,plain,
! [SV20: $i] :
( ( ~ ( cowlNothing @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(114,plain,
! [SV21: $i] :
( ( ~ ( xsd_string @ SV21 )
| ~ ( xsd_integer @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(115,plain,
! [SV22: $i] :
( ( ( xsd_integer @ SV22 )
| ( xsd_string @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV8: $i,SV1: $i] :
( ( ( SV1 = SV8 )
= $false )
| ( ( ~ ( cc @ SV1 ) )
= $true )
| ( ( cc @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV9: $i,SV2: $i] :
( ( ( SV2 = SV9 )
= $false )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV10: $i,SV3: $i] :
( ( ( SV3 = SV10 )
= $false )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(119,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ( ( SV4 != SV11 ) )
= $true )
| ( ( ~ ( rp @ SV4 @ SV15 ) )
= $true )
| ( ( rp @ SV11 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(120,plain,
! [SV16: $i,SV12: $i,SV5: $i] :
( ( ( ( SV5 != SV12 ) )
= $true )
| ( ( ~ ( rp @ SV16 @ SV5 ) )
= $true )
| ( ( rp @ SV16 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(121,plain,
! [SV13: $i,SV6: $i] :
( ( ( SV6 = SV13 )
= $false )
| ( ( ~ ( xsd_integer @ SV6 ) )
= $true )
| ( ( xsd_integer @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(122,plain,
! [SV14: $i,SV7: $i] :
( ( ( SV7 = SV14 )
= $false )
| ( ( ~ ( xsd_string @ SV7 ) )
= $true )
| ( ( xsd_string @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(123,plain,
! [SV17: $i] :
( ( ( ~ ( cc @ SV17 ) )
= $true )
| ( ( ! [SY53: $i,SY54: $i,SY55: $i] :
( ~ ( rp @ SV17 @ SY53 )
| ~ ( rp @ SV17 @ SY54 )
| ~ ( rp @ SV17 @ SY55 )
| ( SY54 = SY55 )
| ( SY53 = SY54 )
| ( SY53 = SY55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV18: $i] :
( ( ( ~ ( cc @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV18 )
!= ( sK11_SY41 @ SV18 ) ) )
| ~ ~ ( ~ ( rp @ SV18 @ ( sK10_Y0 @ SV18 ) )
| ~ ( rp @ SV18 @ ( sK11_SY41 @ SV18 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(125,plain,
! [SV20: $i] :
( ( cowlNothing @ SV20 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(126,plain,
! [SV21: $i] :
( ( ( ~ ( xsd_string @ SV21 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(127,plain,
! [SV22: $i] :
( ( ( xsd_integer @ SV22 )
= $true )
| ( ( xsd_string @ SV22 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(128,plain,
! [SV8: $i,SV1: $i] :
( ( ( cc @ SV1 )
= $false )
| ( ( SV1 = SV8 )
= $false )
| ( ( cc @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(129,plain,
! [SV9: $i,SV2: $i] :
( ( ( cowlNothing @ SV2 )
= $false )
| ( ( SV2 = SV9 )
= $false )
| ( ( cowlNothing @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(130,plain,
! [SV10: $i,SV3: $i] :
( ( ( cowlThing @ SV3 )
= $false )
| ( ( SV3 = SV10 )
= $false )
| ( ( cowlThing @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(131,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ( SV4 = SV11 )
= $false )
| ( ( ~ ( rp @ SV4 @ SV15 ) )
= $true )
| ( ( rp @ SV11 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(132,plain,
! [SV16: $i,SV12: $i,SV5: $i] :
( ( ( SV5 = SV12 )
= $false )
| ( ( ~ ( rp @ SV16 @ SV5 ) )
= $true )
| ( ( rp @ SV16 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(133,plain,
! [SV13: $i,SV6: $i] :
( ( ( xsd_integer @ SV6 )
= $false )
| ( ( SV6 = SV13 )
= $false )
| ( ( xsd_integer @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(134,plain,
! [SV14: $i,SV7: $i] :
( ( ( xsd_string @ SV7 )
= $false )
| ( ( SV7 = SV14 )
= $false )
| ( ( xsd_string @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(135,plain,
! [SV17: $i] :
( ( ( cc @ SV17 )
= $false )
| ( ( ! [SY53: $i,SY54: $i,SY55: $i] :
( ~ ( rp @ SV17 @ SY53 )
| ~ ( rp @ SV17 @ SY54 )
| ~ ( rp @ SV17 @ SY55 )
| ( SY54 = SY55 )
| ( SY53 = SY54 )
| ( SY53 = SY55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(136,plain,
! [SV18: $i] :
( ( ( cc @ SV18 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV18 )
!= ( sK11_SY41 @ SV18 ) ) )
| ~ ~ ( ~ ( rp @ SV18 @ ( sK10_Y0 @ SV18 ) )
| ~ ( rp @ SV18 @ ( sK11_SY41 @ SV18 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(137,plain,
! [SV21: $i] :
( ( ( xsd_string @ SV21 )
= $false )
| ( ( ~ ( xsd_integer @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(138,plain,
! [SV11: $i,SV15: $i,SV4: $i] :
( ( ( rp @ SV4 @ SV15 )
= $false )
| ( ( SV4 = SV11 )
= $false )
| ( ( rp @ SV11 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(139,plain,
! [SV12: $i,SV5: $i,SV16: $i] :
( ( ( rp @ SV16 @ SV5 )
= $false )
| ( ( SV5 = SV12 )
= $false )
| ( ( rp @ SV16 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(140,plain,
! [SV23: $i,SV17: $i] :
( ( ( ! [SY56: $i,SY57: $i] :
( ~ ( rp @ SV17 @ SV23 )
| ~ ( rp @ SV17 @ SY56 )
| ~ ( rp @ SV17 @ SY57 )
| ( SY56 = SY57 )
| ( SV23 = SY56 )
| ( SV23 = SY57 ) ) )
= $true )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(141,plain,
! [SV18: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV18 )
!= ( sK11_SY41 @ SV18 ) ) )
| ~ ~ ( ~ ( rp @ SV18 @ ( sK10_Y0 @ SV18 ) )
| ~ ( rp @ SV18 @ ( sK11_SY41 @ SV18 ) ) ) )
= $false )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(142,plain,
! [SV21: $i] :
( ( ( xsd_integer @ SV21 )
= $false )
| ( ( xsd_string @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(143,plain,
! [SV24: $i,SV23: $i,SV17: $i] :
( ( ( ! [SY58: $i] :
( ~ ( rp @ SV17 @ SV23 )
| ~ ( rp @ SV17 @ SV24 )
| ~ ( rp @ SV17 @ SY58 )
| ( SV24 = SY58 )
| ( SV23 = SV24 )
| ( SV23 = SY58 ) ) )
= $true )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(144,plain,
! [SV18: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV18 )
!= ( sK11_SY41 @ SV18 ) ) ) )
= $false )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(145,plain,
! [SV18: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV18 @ ( sK10_Y0 @ SV18 ) )
| ~ ( rp @ SV18 @ ( sK11_SY41 @ SV18 ) ) ) )
= $false )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[141]) ).
thf(146,plain,
! [SV25: $i,SV24: $i,SV23: $i,SV17: $i] :
( ( ( ~ ( rp @ SV17 @ SV23 )
| ~ ( rp @ SV17 @ SV24 )
| ~ ( rp @ SV17 @ SV25 )
| ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(147,plain,
! [SV18: $i] :
( ( ( ( ( sK10_Y0 @ SV18 )
!= ( sK11_SY41 @ SV18 ) ) )
= $true )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(148,plain,
! [SV18: $i] :
( ( ( ~ ( ~ ( rp @ SV18 @ ( sK10_Y0 @ SV18 ) )
| ~ ( rp @ SV18 @ ( sK11_SY41 @ SV18 ) ) ) )
= $true )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[145]) ).
thf(149,plain,
! [SV25: $i,SV24: $i,SV23: $i,SV17: $i] :
( ( ( ~ ( rp @ SV17 @ SV23 )
| ~ ( rp @ SV17 @ SV24 )
| ~ ( rp @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(150,plain,
! [SV18: $i] :
( ( ( ( sK10_Y0 @ SV18 )
= ( sK11_SY41 @ SV18 ) )
= $false )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(151,plain,
! [SV18: $i] :
( ( ( ~ ( rp @ SV18 @ ( sK10_Y0 @ SV18 ) )
| ~ ( rp @ SV18 @ ( sK11_SY41 @ SV18 ) ) )
= $false )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(152,plain,
! [SV25: $i,SV24: $i,SV23: $i,SV17: $i] :
( ( ( ~ ( rp @ SV17 @ SV23 )
| ~ ( rp @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( rp @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(153,plain,
! [SV18: $i] :
( ( ( ~ ( rp @ SV18 @ ( sK10_Y0 @ SV18 ) ) )
= $false )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(154,plain,
! [SV18: $i] :
( ( ( ~ ( rp @ SV18 @ ( sK11_SY41 @ SV18 ) ) )
= $false )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(155,plain,
! [SV25: $i,SV24: $i,SV23: $i,SV17: $i] :
( ( ( ~ ( rp @ SV17 @ SV23 ) )
= $true )
| ( ( ~ ( rp @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( rp @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(156,plain,
! [SV18: $i] :
( ( ( rp @ SV18 @ ( sK10_Y0 @ SV18 ) )
= $true )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(157,plain,
! [SV18: $i] :
( ( ( rp @ SV18 @ ( sK11_SY41 @ SV18 ) )
= $true )
| ( ( cc @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(158,plain,
! [SV25: $i,SV24: $i,SV23: $i,SV17: $i] :
( ( ( rp @ SV17 @ SV23 )
= $false )
| ( ( ~ ( rp @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( rp @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(159,plain,
! [SV25: $i,SV23: $i,SV24: $i,SV17: $i] :
( ( ( rp @ SV17 @ SV24 )
= $false )
| ( ( rp @ SV17 @ SV23 )
= $false )
| ( ( ~ ( rp @ SV17 @ SV25 ) )
= $true )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(160,plain,
! [SV24: $i,SV23: $i,SV25: $i,SV17: $i] :
( ( ( rp @ SV17 @ SV25 )
= $false )
| ( ( rp @ SV17 @ SV23 )
= $false )
| ( ( rp @ SV17 @ SV24 )
= $false )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(161,plain,
! [SV17: $i,SV23: $i,SV25: $i,SV24: $i] :
( ( ( SV24 = SV25 )
= $true )
| ( ( ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( rp @ SV17 @ SV24 )
= $false )
| ( ( rp @ SV17 @ SV23 )
= $false )
| ( ( rp @ SV17 @ SV25 )
= $false )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(162,plain,
! [SV17: $i,SV25: $i,SV24: $i,SV23: $i] :
( ( ( SV23 = SV24 )
= $true )
| ( ( SV23 = SV25 )
= $true )
| ( ( SV24 = SV25 )
= $true )
| ( ( rp @ SV17 @ SV24 )
= $false )
| ( ( rp @ SV17 @ SV23 )
= $false )
| ( ( rp @ SV17 @ SV25 )
= $false )
| ( ( cc @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(163,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[73,162,157,156,150,142,139,138,134,133,130,129,128,127,125,112]) ).
thf(164,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(165,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(166,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(167,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(168,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(169,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(170,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(171,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(172,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(173,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( rp @ X @ Y0 )
| ~ ( rp @ X @ Y1 )
| ~ ( rp @ X @ Y2 )
| ( Y1 = Y2 )
| ( Y0 = Y1 )
| ( Y0 = Y2 ) ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ( ( ( sK10_Y0 @ X )
!= ( sK11_SY41 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY41 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(174,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(175,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(176,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(177,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(178,plain,
! [SV26: $i] :
( ( ! [SY59: $i] :
( ( SV26 != SY59 )
| ~ ( cc @ SV26 )
| ( cc @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(179,plain,
! [SV27: $i] :
( ( ! [SY60: $i] :
( ( SV27 != SY60 )
| ~ ( cowlNothing @ SV27 )
| ( cowlNothing @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(180,plain,
! [SV28: $i] :
( ( ! [SY61: $i] :
( ( SV28 != SY61 )
| ~ ( cowlThing @ SV28 )
| ( cowlThing @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(181,plain,
! [SV29: $i] :
( ( ! [SY62: $i,SY63: $i] :
( ( SV29 != SY62 )
| ~ ( rp @ SV29 @ SY63 )
| ( rp @ SY62 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(182,plain,
! [SV30: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ( SV30 != SY64 )
| ~ ( rp @ SY65 @ SV30 )
| ( rp @ SY65 @ SY64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(183,plain,
! [SV31: $i] :
( ( ! [SY66: $i] :
( ( SV31 != SY66 )
| ~ ( xsd_integer @ SV31 )
| ( xsd_integer @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(184,plain,
! [SV32: $i] :
( ( ! [SY67: $i] :
( ( SV32 != SY67 )
| ~ ( xsd_string @ SV32 )
| ( xsd_string @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(185,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(186,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(187,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(188,plain,
! [SV33: $i,SV26: $i] :
( ( ( SV26 != SV33 )
| ~ ( cc @ SV26 )
| ( cc @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(189,plain,
! [SV34: $i,SV27: $i] :
( ( ( SV27 != SV34 )
| ~ ( cowlNothing @ SV27 )
| ( cowlNothing @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(190,plain,
! [SV35: $i,SV28: $i] :
( ( ( SV28 != SV35 )
| ~ ( cowlThing @ SV28 )
| ( cowlThing @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(191,plain,
! [SV36: $i,SV29: $i] :
( ( ! [SY68: $i] :
( ( SV29 != SV36 )
| ~ ( rp @ SV29 @ SY68 )
| ( rp @ SV36 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(192,plain,
! [SV37: $i,SV30: $i] :
( ( ! [SY69: $i] :
( ( SV30 != SV37 )
| ~ ( rp @ SY69 @ SV30 )
| ( rp @ SY69 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(193,plain,
! [SV38: $i,SV31: $i] :
( ( ( SV31 != SV38 )
| ~ ( xsd_integer @ SV31 )
| ( xsd_integer @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(194,plain,
! [SV39: $i,SV32: $i] :
( ( ( SV32 != SV39 )
| ~ ( xsd_string @ SV32 )
| ( xsd_string @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(195,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(196,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(197,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(198,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[186]) ).
thf(199,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(200,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(201,plain,
! [SV33: $i,SV26: $i] :
( ( ( ( SV26 != SV33 )
| ~ ( cc @ SV26 ) )
= $true )
| ( ( cc @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(202,plain,
! [SV34: $i,SV27: $i] :
( ( ( ( SV27 != SV34 )
| ~ ( cowlNothing @ SV27 ) )
= $true )
| ( ( cowlNothing @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(203,plain,
! [SV35: $i,SV28: $i] :
( ( ( ( SV28 != SV35 )
| ~ ( cowlThing @ SV28 ) )
= $true )
| ( ( cowlThing @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(204,plain,
! [SV40: $i,SV36: $i,SV29: $i] :
( ( ( SV29 != SV36 )
| ~ ( rp @ SV29 @ SV40 )
| ( rp @ SV36 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(205,plain,
! [SV41: $i,SV37: $i,SV30: $i] :
( ( ( SV30 != SV37 )
| ~ ( rp @ SV41 @ SV30 )
| ( rp @ SV41 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(206,plain,
! [SV38: $i,SV31: $i] :
( ( ( ( SV31 != SV38 )
| ~ ( xsd_integer @ SV31 ) )
= $true )
| ( ( xsd_integer @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(207,plain,
! [SV39: $i,SV32: $i] :
( ( ( ( SV32 != SV39 )
| ~ ( xsd_string @ SV32 ) )
= $true )
| ( ( xsd_string @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(208,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(209,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(210,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(211,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(212,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(213,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(214,plain,
! [SV33: $i,SV26: $i] :
( ( ( ( SV26 != SV33 ) )
= $true )
| ( ( ~ ( cc @ SV26 ) )
= $true )
| ( ( cc @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(215,plain,
! [SV34: $i,SV27: $i] :
( ( ( ( SV27 != SV34 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV27 ) )
= $true )
| ( ( cowlNothing @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(216,plain,
! [SV35: $i,SV28: $i] :
( ( ( ( SV28 != SV35 ) )
= $true )
| ( ( ~ ( cowlThing @ SV28 ) )
= $true )
| ( ( cowlThing @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(217,plain,
! [SV40: $i,SV36: $i,SV29: $i] :
( ( ( ( SV29 != SV36 )
| ~ ( rp @ SV29 @ SV40 ) )
= $true )
| ( ( rp @ SV36 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(218,plain,
! [SV41: $i,SV37: $i,SV30: $i] :
( ( ( ( SV30 != SV37 )
| ~ ( rp @ SV41 @ SV30 ) )
= $true )
| ( ( rp @ SV41 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(219,plain,
! [SV38: $i,SV31: $i] :
( ( ( ( SV31 != SV38 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV31 ) )
= $true )
| ( ( xsd_integer @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(220,plain,
! [SV39: $i,SV32: $i] :
( ( ( ( SV32 != SV39 ) )
= $true )
| ( ( ~ ( xsd_string @ SV32 ) )
= $true )
| ( ( xsd_string @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(221,plain,
! [SV42: $i] :
( ( ~ ( cc @ SV42 )
| ! [SY70: $i,SY71: $i,SY72: $i] :
( ~ ( rp @ SV42 @ SY70 )
| ~ ( rp @ SV42 @ SY71 )
| ~ ( rp @ SV42 @ SY72 )
| ( SY71 = SY72 )
| ( SY70 = SY71 )
| ( SY70 = SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(222,plain,
! [SV43: $i] :
( ( ~ ( cc @ SV43 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY41 @ SV43 ) ) )
| ~ ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY41 @ SV43 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(223,plain,
! [SV44: $i] :
( ( cowlThing @ SV44 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(224,plain,
! [SV45: $i] :
( ( ~ ( cowlNothing @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(225,plain,
! [SV46: $i] :
( ( ~ ( xsd_string @ SV46 )
| ~ ( xsd_integer @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(226,plain,
! [SV47: $i] :
( ( ( xsd_integer @ SV47 )
| ( xsd_string @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(227,plain,
! [SV33: $i,SV26: $i] :
( ( ( SV26 = SV33 )
= $false )
| ( ( ~ ( cc @ SV26 ) )
= $true )
| ( ( cc @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(228,plain,
! [SV34: $i,SV27: $i] :
( ( ( SV27 = SV34 )
= $false )
| ( ( ~ ( cowlNothing @ SV27 ) )
= $true )
| ( ( cowlNothing @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(229,plain,
! [SV35: $i,SV28: $i] :
( ( ( SV28 = SV35 )
= $false )
| ( ( ~ ( cowlThing @ SV28 ) )
= $true )
| ( ( cowlThing @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(230,plain,
! [SV40: $i,SV36: $i,SV29: $i] :
( ( ( ( SV29 != SV36 ) )
= $true )
| ( ( ~ ( rp @ SV29 @ SV40 ) )
= $true )
| ( ( rp @ SV36 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(231,plain,
! [SV41: $i,SV37: $i,SV30: $i] :
( ( ( ( SV30 != SV37 ) )
= $true )
| ( ( ~ ( rp @ SV41 @ SV30 ) )
= $true )
| ( ( rp @ SV41 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(232,plain,
! [SV38: $i,SV31: $i] :
( ( ( SV31 = SV38 )
= $false )
| ( ( ~ ( xsd_integer @ SV31 ) )
= $true )
| ( ( xsd_integer @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(233,plain,
! [SV39: $i,SV32: $i] :
( ( ( SV32 = SV39 )
= $false )
| ( ( ~ ( xsd_string @ SV32 ) )
= $true )
| ( ( xsd_string @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(234,plain,
! [SV42: $i] :
( ( ( ~ ( cc @ SV42 ) )
= $true )
| ( ( ! [SY70: $i,SY71: $i,SY72: $i] :
( ~ ( rp @ SV42 @ SY70 )
| ~ ( rp @ SV42 @ SY71 )
| ~ ( rp @ SV42 @ SY72 )
| ( SY71 = SY72 )
| ( SY70 = SY71 )
| ( SY70 = SY72 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(235,plain,
! [SV43: $i] :
( ( ( ~ ( cc @ SV43 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY41 @ SV43 ) ) )
| ~ ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY41 @ SV43 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(236,plain,
! [SV45: $i] :
( ( cowlNothing @ SV45 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(237,plain,
! [SV46: $i] :
( ( ( ~ ( xsd_string @ SV46 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(238,plain,
! [SV47: $i] :
( ( ( xsd_integer @ SV47 )
= $true )
| ( ( xsd_string @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(239,plain,
! [SV33: $i,SV26: $i] :
( ( ( cc @ SV26 )
= $false )
| ( ( SV26 = SV33 )
= $false )
| ( ( cc @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV34: $i,SV27: $i] :
( ( ( cowlNothing @ SV27 )
= $false )
| ( ( SV27 = SV34 )
= $false )
| ( ( cowlNothing @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(241,plain,
! [SV35: $i,SV28: $i] :
( ( ( cowlThing @ SV28 )
= $false )
| ( ( SV28 = SV35 )
= $false )
| ( ( cowlThing @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(242,plain,
! [SV40: $i,SV36: $i,SV29: $i] :
( ( ( SV29 = SV36 )
= $false )
| ( ( ~ ( rp @ SV29 @ SV40 ) )
= $true )
| ( ( rp @ SV36 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(243,plain,
! [SV41: $i,SV37: $i,SV30: $i] :
( ( ( SV30 = SV37 )
= $false )
| ( ( ~ ( rp @ SV41 @ SV30 ) )
= $true )
| ( ( rp @ SV41 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(244,plain,
! [SV38: $i,SV31: $i] :
( ( ( xsd_integer @ SV31 )
= $false )
| ( ( SV31 = SV38 )
= $false )
| ( ( xsd_integer @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(245,plain,
! [SV39: $i,SV32: $i] :
( ( ( xsd_string @ SV32 )
= $false )
| ( ( SV32 = SV39 )
= $false )
| ( ( xsd_string @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(246,plain,
! [SV42: $i] :
( ( ( cc @ SV42 )
= $false )
| ( ( ! [SY70: $i,SY71: $i,SY72: $i] :
( ~ ( rp @ SV42 @ SY70 )
| ~ ( rp @ SV42 @ SY71 )
| ~ ( rp @ SV42 @ SY72 )
| ( SY71 = SY72 )
| ( SY70 = SY71 )
| ( SY70 = SY72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(247,plain,
! [SV43: $i] :
( ( ( cc @ SV43 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY41 @ SV43 ) ) )
| ~ ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY41 @ SV43 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(248,plain,
! [SV46: $i] :
( ( ( xsd_string @ SV46 )
= $false )
| ( ( ~ ( xsd_integer @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(249,plain,
! [SV36: $i,SV40: $i,SV29: $i] :
( ( ( rp @ SV29 @ SV40 )
= $false )
| ( ( SV29 = SV36 )
= $false )
| ( ( rp @ SV36 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(250,plain,
! [SV37: $i,SV30: $i,SV41: $i] :
( ( ( rp @ SV41 @ SV30 )
= $false )
| ( ( SV30 = SV37 )
= $false )
| ( ( rp @ SV41 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(251,plain,
! [SV48: $i,SV42: $i] :
( ( ( ! [SY73: $i,SY74: $i] :
( ~ ( rp @ SV42 @ SV48 )
| ~ ( rp @ SV42 @ SY73 )
| ~ ( rp @ SV42 @ SY74 )
| ( SY73 = SY74 )
| ( SV48 = SY73 )
| ( SV48 = SY74 ) ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(252,plain,
! [SV43: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY41 @ SV43 ) ) )
| ~ ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY41 @ SV43 ) ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(253,plain,
! [SV46: $i] :
( ( ( xsd_integer @ SV46 )
= $false )
| ( ( xsd_string @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(254,plain,
! [SV49: $i,SV48: $i,SV42: $i] :
( ( ( ! [SY75: $i] :
( ~ ( rp @ SV42 @ SV48 )
| ~ ( rp @ SV42 @ SV49 )
| ~ ( rp @ SV42 @ SY75 )
| ( SV49 = SY75 )
| ( SV48 = SV49 )
| ( SV48 = SY75 ) ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(255,plain,
! [SV43: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY41 @ SV43 ) ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(256,plain,
! [SV43: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY41 @ SV43 ) ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(257,plain,
! [SV50: $i,SV49: $i,SV48: $i,SV42: $i] :
( ( ( ~ ( rp @ SV42 @ SV48 )
| ~ ( rp @ SV42 @ SV49 )
| ~ ( rp @ SV42 @ SV50 )
| ( SV49 = SV50 )
| ( SV48 = SV49 )
| ( SV48 = SV50 ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(258,plain,
! [SV43: $i] :
( ( ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY41 @ SV43 ) ) )
= $true )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(259,plain,
! [SV43: $i] :
( ( ( ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY41 @ SV43 ) ) ) )
= $true )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(260,plain,
! [SV50: $i,SV49: $i,SV48: $i,SV42: $i] :
( ( ( ~ ( rp @ SV42 @ SV48 )
| ~ ( rp @ SV42 @ SV49 )
| ~ ( rp @ SV42 @ SV50 ) )
= $true )
| ( ( ( SV49 = SV50 )
| ( SV48 = SV49 )
| ( SV48 = SV50 ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(261,plain,
! [SV43: $i] :
( ( ( ( sK10_Y0 @ SV43 )
= ( sK11_SY41 @ SV43 ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(262,plain,
! [SV43: $i] :
( ( ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY41 @ SV43 ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(263,plain,
! [SV50: $i,SV49: $i,SV48: $i,SV42: $i] :
( ( ( ~ ( rp @ SV42 @ SV48 )
| ~ ( rp @ SV42 @ SV49 ) )
= $true )
| ( ( ~ ( rp @ SV42 @ SV50 ) )
= $true )
| ( ( ( SV49 = SV50 )
| ( SV48 = SV49 )
| ( SV48 = SV50 ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(264,plain,
! [SV43: $i] :
( ( ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(265,plain,
! [SV43: $i] :
( ( ( ~ ( rp @ SV43 @ ( sK11_SY41 @ SV43 ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(266,plain,
! [SV50: $i,SV49: $i,SV48: $i,SV42: $i] :
( ( ( ~ ( rp @ SV42 @ SV48 ) )
= $true )
| ( ( ~ ( rp @ SV42 @ SV49 ) )
= $true )
| ( ( ~ ( rp @ SV42 @ SV50 ) )
= $true )
| ( ( ( SV49 = SV50 )
| ( SV48 = SV49 )
| ( SV48 = SV50 ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(267,plain,
! [SV43: $i] :
( ( ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
= $true )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(268,plain,
! [SV43: $i] :
( ( ( rp @ SV43 @ ( sK11_SY41 @ SV43 ) )
= $true )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(269,plain,
! [SV50: $i,SV49: $i,SV48: $i,SV42: $i] :
( ( ( rp @ SV42 @ SV48 )
= $false )
| ( ( ~ ( rp @ SV42 @ SV49 ) )
= $true )
| ( ( ~ ( rp @ SV42 @ SV50 ) )
= $true )
| ( ( ( SV49 = SV50 )
| ( SV48 = SV49 )
| ( SV48 = SV50 ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(270,plain,
! [SV50: $i,SV48: $i,SV49: $i,SV42: $i] :
( ( ( rp @ SV42 @ SV49 )
= $false )
| ( ( rp @ SV42 @ SV48 )
= $false )
| ( ( ~ ( rp @ SV42 @ SV50 ) )
= $true )
| ( ( ( SV49 = SV50 )
| ( SV48 = SV49 )
| ( SV48 = SV50 ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(271,plain,
! [SV49: $i,SV48: $i,SV50: $i,SV42: $i] :
( ( ( rp @ SV42 @ SV50 )
= $false )
| ( ( rp @ SV42 @ SV48 )
= $false )
| ( ( rp @ SV42 @ SV49 )
= $false )
| ( ( ( SV49 = SV50 )
| ( SV48 = SV49 )
| ( SV48 = SV50 ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(272,plain,
! [SV42: $i,SV48: $i,SV50: $i,SV49: $i] :
( ( ( SV49 = SV50 )
= $true )
| ( ( ( SV48 = SV49 )
| ( SV48 = SV50 ) )
= $true )
| ( ( rp @ SV42 @ SV49 )
= $false )
| ( ( rp @ SV42 @ SV48 )
= $false )
| ( ( rp @ SV42 @ SV50 )
= $false )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(273,plain,
! [SV42: $i,SV50: $i,SV49: $i,SV48: $i] :
( ( ( SV48 = SV49 )
= $true )
| ( ( SV48 = SV50 )
= $true )
| ( ( SV49 = SV50 )
= $true )
| ( ( rp @ SV42 @ SV49 )
= $false )
| ( ( rp @ SV42 @ SV48 )
= $false )
| ( ( rp @ SV42 @ SV50 )
= $false )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(274,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[174,273,268,267,261,253,250,249,245,244,241,240,239,238,236,223]) ).
thf(275,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(276,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(277,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(278,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(279,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(280,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(281,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(282,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(283,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(284,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( rp @ X @ Y0 )
| ~ ( rp @ X @ Y1 )
| ~ ( rp @ X @ Y2 )
| ( Y1 = Y2 )
| ( Y0 = Y1 )
| ( Y0 = Y2 ) ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ( ( ( sK10_Y0 @ X )
!= ( sK11_SY41 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY41 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(285,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(286,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(287,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(288,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(289,plain,
( ( ~ ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(290,plain,
! [SV51: $i] :
( ( ! [SY76: $i] :
( ( SV51 != SY76 )
| ~ ( cc @ SV51 )
| ( cc @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(291,plain,
! [SV52: $i] :
( ( ! [SY77: $i] :
( ( SV52 != SY77 )
| ~ ( cowlNothing @ SV52 )
| ( cowlNothing @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(292,plain,
! [SV53: $i] :
( ( ! [SY78: $i] :
( ( SV53 != SY78 )
| ~ ( cowlThing @ SV53 )
| ( cowlThing @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(293,plain,
! [SV54: $i] :
( ( ! [SY79: $i,SY80: $i] :
( ( SV54 != SY79 )
| ~ ( rp @ SV54 @ SY80 )
| ( rp @ SY79 @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(294,plain,
! [SV55: $i] :
( ( ! [SY81: $i,SY82: $i] :
( ( SV55 != SY81 )
| ~ ( rp @ SY82 @ SV55 )
| ( rp @ SY82 @ SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(295,plain,
! [SV56: $i] :
( ( ! [SY83: $i] :
( ( SV56 != SY83 )
| ~ ( xsd_integer @ SV56 )
| ( xsd_integer @ SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(296,plain,
! [SV57: $i] :
( ( ! [SY84: $i] :
( ( SV57 != SY84 )
| ~ ( xsd_string @ SV57 )
| ( xsd_string @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(297,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(298,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(299,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(300,plain,
( ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(301,plain,
! [SV58: $i,SV51: $i] :
( ( ( SV51 != SV58 )
| ~ ( cc @ SV51 )
| ( cc @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(302,plain,
! [SV59: $i,SV52: $i] :
( ( ( SV52 != SV59 )
| ~ ( cowlNothing @ SV52 )
| ( cowlNothing @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(303,plain,
! [SV60: $i,SV53: $i] :
( ( ( SV53 != SV60 )
| ~ ( cowlThing @ SV53 )
| ( cowlThing @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(304,plain,
! [SV61: $i,SV54: $i] :
( ( ! [SY85: $i] :
( ( SV54 != SV61 )
| ~ ( rp @ SV54 @ SY85 )
| ( rp @ SV61 @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(305,plain,
! [SV62: $i,SV55: $i] :
( ( ! [SY86: $i] :
( ( SV55 != SV62 )
| ~ ( rp @ SY86 @ SV55 )
| ( rp @ SY86 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(306,plain,
! [SV63: $i,SV56: $i] :
( ( ( SV56 != SV63 )
| ~ ( xsd_integer @ SV56 )
| ( xsd_integer @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(307,plain,
! [SV64: $i,SV57: $i] :
( ( ( SV57 != SV64 )
| ~ ( xsd_string @ SV57 )
| ( xsd_string @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(308,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(309,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(310,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(311,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[298]) ).
thf(312,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(313,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[299]) ).
thf(314,plain,
( ( ~ ( xsd_string @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(315,plain,
( ( ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[300]) ).
thf(316,plain,
! [SV58: $i,SV51: $i] :
( ( ( ( SV51 != SV58 )
| ~ ( cc @ SV51 ) )
= $true )
| ( ( cc @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(317,plain,
! [SV59: $i,SV52: $i] :
( ( ( ( SV52 != SV59 )
| ~ ( cowlNothing @ SV52 ) )
= $true )
| ( ( cowlNothing @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(318,plain,
! [SV60: $i,SV53: $i] :
( ( ( ( SV53 != SV60 )
| ~ ( cowlThing @ SV53 ) )
= $true )
| ( ( cowlThing @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(319,plain,
! [SV65: $i,SV61: $i,SV54: $i] :
( ( ( SV54 != SV61 )
| ~ ( rp @ SV54 @ SV65 )
| ( rp @ SV61 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(320,plain,
! [SV66: $i,SV62: $i,SV55: $i] :
( ( ( SV55 != SV62 )
| ~ ( rp @ SV66 @ SV55 )
| ( rp @ SV66 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(321,plain,
! [SV63: $i,SV56: $i] :
( ( ( ( SV56 != SV63 )
| ~ ( xsd_integer @ SV56 ) )
= $true )
| ( ( xsd_integer @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(322,plain,
! [SV64: $i,SV57: $i] :
( ( ( ( SV57 != SV64 )
| ~ ( xsd_string @ SV57 ) )
= $true )
| ( ( xsd_string @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(323,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(324,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(325,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(326,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(327,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(328,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(329,plain,
( ( xsd_string @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(330,plain,
( ( xsd_integer @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(331,plain,
! [SV58: $i,SV51: $i] :
( ( ( ( SV51 != SV58 ) )
= $true )
| ( ( ~ ( cc @ SV51 ) )
= $true )
| ( ( cc @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(332,plain,
! [SV59: $i,SV52: $i] :
( ( ( ( SV52 != SV59 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV52 ) )
= $true )
| ( ( cowlNothing @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(333,plain,
! [SV60: $i,SV53: $i] :
( ( ( ( SV53 != SV60 ) )
= $true )
| ( ( ~ ( cowlThing @ SV53 ) )
= $true )
| ( ( cowlThing @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(334,plain,
! [SV65: $i,SV61: $i,SV54: $i] :
( ( ( ( SV54 != SV61 )
| ~ ( rp @ SV54 @ SV65 ) )
= $true )
| ( ( rp @ SV61 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(335,plain,
! [SV66: $i,SV62: $i,SV55: $i] :
( ( ( ( SV55 != SV62 )
| ~ ( rp @ SV66 @ SV55 ) )
= $true )
| ( ( rp @ SV66 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(336,plain,
! [SV63: $i,SV56: $i] :
( ( ( ( SV56 != SV63 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV56 ) )
= $true )
| ( ( xsd_integer @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(337,plain,
! [SV64: $i,SV57: $i] :
( ( ( ( SV57 != SV64 ) )
= $true )
| ( ( ~ ( xsd_string @ SV57 ) )
= $true )
| ( ( xsd_string @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(338,plain,
! [SV67: $i] :
( ( cowlThing @ SV67 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(339,plain,
! [SV68: $i] :
( ( ~ ( cowlNothing @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(340,plain,
! [SV69: $i] :
( ( ~ ( cc @ SV69 )
| ! [SY87: $i,SY88: $i,SY89: $i] :
( ~ ( rp @ SV69 @ SY87 )
| ~ ( rp @ SV69 @ SY88 )
| ~ ( rp @ SV69 @ SY89 )
| ( SY88 = SY89 )
| ( SY87 = SY88 )
| ( SY87 = SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(341,plain,
! [SV70: $i] :
( ( ~ ( cc @ SV70 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV70 )
!= ( sK11_SY41 @ SV70 ) ) )
| ~ ~ ( ~ ( rp @ SV70 @ ( sK10_Y0 @ SV70 ) )
| ~ ( rp @ SV70 @ ( sK11_SY41 @ SV70 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(342,plain,
! [SV71: $i] :
( ( ~ ( xsd_string @ SV71 )
| ~ ( xsd_integer @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(343,plain,
! [SV72: $i] :
( ( ( xsd_integer @ SV72 )
| ( xsd_string @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(344,plain,
! [SV58: $i,SV51: $i] :
( ( ( SV51 = SV58 )
= $false )
| ( ( ~ ( cc @ SV51 ) )
= $true )
| ( ( cc @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(345,plain,
! [SV59: $i,SV52: $i] :
( ( ( SV52 = SV59 )
= $false )
| ( ( ~ ( cowlNothing @ SV52 ) )
= $true )
| ( ( cowlNothing @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(346,plain,
! [SV60: $i,SV53: $i] :
( ( ( SV53 = SV60 )
= $false )
| ( ( ~ ( cowlThing @ SV53 ) )
= $true )
| ( ( cowlThing @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(347,plain,
! [SV65: $i,SV61: $i,SV54: $i] :
( ( ( ( SV54 != SV61 ) )
= $true )
| ( ( ~ ( rp @ SV54 @ SV65 ) )
= $true )
| ( ( rp @ SV61 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(348,plain,
! [SV66: $i,SV62: $i,SV55: $i] :
( ( ( ( SV55 != SV62 ) )
= $true )
| ( ( ~ ( rp @ SV66 @ SV55 ) )
= $true )
| ( ( rp @ SV66 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(349,plain,
! [SV63: $i,SV56: $i] :
( ( ( SV56 = SV63 )
= $false )
| ( ( ~ ( xsd_integer @ SV56 ) )
= $true )
| ( ( xsd_integer @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(350,plain,
! [SV64: $i,SV57: $i] :
( ( ( SV57 = SV64 )
= $false )
| ( ( ~ ( xsd_string @ SV57 ) )
= $true )
| ( ( xsd_string @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(351,plain,
! [SV68: $i] :
( ( cowlNothing @ SV68 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(352,plain,
! [SV69: $i] :
( ( ( ~ ( cc @ SV69 ) )
= $true )
| ( ( ! [SY87: $i,SY88: $i,SY89: $i] :
( ~ ( rp @ SV69 @ SY87 )
| ~ ( rp @ SV69 @ SY88 )
| ~ ( rp @ SV69 @ SY89 )
| ( SY88 = SY89 )
| ( SY87 = SY88 )
| ( SY87 = SY89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(353,plain,
! [SV70: $i] :
( ( ( ~ ( cc @ SV70 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV70 )
!= ( sK11_SY41 @ SV70 ) ) )
| ~ ~ ( ~ ( rp @ SV70 @ ( sK10_Y0 @ SV70 ) )
| ~ ( rp @ SV70 @ ( sK11_SY41 @ SV70 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(354,plain,
! [SV71: $i] :
( ( ( ~ ( xsd_string @ SV71 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(355,plain,
! [SV72: $i] :
( ( ( xsd_integer @ SV72 )
= $true )
| ( ( xsd_string @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(356,plain,
! [SV58: $i,SV51: $i] :
( ( ( cc @ SV51 )
= $false )
| ( ( SV51 = SV58 )
= $false )
| ( ( cc @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(357,plain,
! [SV59: $i,SV52: $i] :
( ( ( cowlNothing @ SV52 )
= $false )
| ( ( SV52 = SV59 )
= $false )
| ( ( cowlNothing @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(358,plain,
! [SV60: $i,SV53: $i] :
( ( ( cowlThing @ SV53 )
= $false )
| ( ( SV53 = SV60 )
= $false )
| ( ( cowlThing @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(359,plain,
! [SV65: $i,SV61: $i,SV54: $i] :
( ( ( SV54 = SV61 )
= $false )
| ( ( ~ ( rp @ SV54 @ SV65 ) )
= $true )
| ( ( rp @ SV61 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(360,plain,
! [SV66: $i,SV62: $i,SV55: $i] :
( ( ( SV55 = SV62 )
= $false )
| ( ( ~ ( rp @ SV66 @ SV55 ) )
= $true )
| ( ( rp @ SV66 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(361,plain,
! [SV63: $i,SV56: $i] :
( ( ( xsd_integer @ SV56 )
= $false )
| ( ( SV56 = SV63 )
= $false )
| ( ( xsd_integer @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(362,plain,
! [SV64: $i,SV57: $i] :
( ( ( xsd_string @ SV57 )
= $false )
| ( ( SV57 = SV64 )
= $false )
| ( ( xsd_string @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(363,plain,
! [SV69: $i] :
( ( ( cc @ SV69 )
= $false )
| ( ( ! [SY87: $i,SY88: $i,SY89: $i] :
( ~ ( rp @ SV69 @ SY87 )
| ~ ( rp @ SV69 @ SY88 )
| ~ ( rp @ SV69 @ SY89 )
| ( SY88 = SY89 )
| ( SY87 = SY88 )
| ( SY87 = SY89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(364,plain,
! [SV70: $i] :
( ( ( cc @ SV70 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV70 )
!= ( sK11_SY41 @ SV70 ) ) )
| ~ ~ ( ~ ( rp @ SV70 @ ( sK10_Y0 @ SV70 ) )
| ~ ( rp @ SV70 @ ( sK11_SY41 @ SV70 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(365,plain,
! [SV71: $i] :
( ( ( xsd_string @ SV71 )
= $false )
| ( ( ~ ( xsd_integer @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(366,plain,
! [SV61: $i,SV65: $i,SV54: $i] :
( ( ( rp @ SV54 @ SV65 )
= $false )
| ( ( SV54 = SV61 )
= $false )
| ( ( rp @ SV61 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(367,plain,
! [SV62: $i,SV55: $i,SV66: $i] :
( ( ( rp @ SV66 @ SV55 )
= $false )
| ( ( SV55 = SV62 )
= $false )
| ( ( rp @ SV66 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(368,plain,
! [SV73: $i,SV69: $i] :
( ( ( ! [SY90: $i,SY91: $i] :
( ~ ( rp @ SV69 @ SV73 )
| ~ ( rp @ SV69 @ SY90 )
| ~ ( rp @ SV69 @ SY91 )
| ( SY90 = SY91 )
| ( SV73 = SY90 )
| ( SV73 = SY91 ) ) )
= $true )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(369,plain,
! [SV70: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV70 )
!= ( sK11_SY41 @ SV70 ) ) )
| ~ ~ ( ~ ( rp @ SV70 @ ( sK10_Y0 @ SV70 ) )
| ~ ( rp @ SV70 @ ( sK11_SY41 @ SV70 ) ) ) )
= $false )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(370,plain,
! [SV71: $i] :
( ( ( xsd_integer @ SV71 )
= $false )
| ( ( xsd_string @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(371,plain,
! [SV74: $i,SV73: $i,SV69: $i] :
( ( ( ! [SY92: $i] :
( ~ ( rp @ SV69 @ SV73 )
| ~ ( rp @ SV69 @ SV74 )
| ~ ( rp @ SV69 @ SY92 )
| ( SV74 = SY92 )
| ( SV73 = SV74 )
| ( SV73 = SY92 ) ) )
= $true )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(372,plain,
! [SV70: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV70 )
!= ( sK11_SY41 @ SV70 ) ) ) )
= $false )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(373,plain,
! [SV70: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV70 @ ( sK10_Y0 @ SV70 ) )
| ~ ( rp @ SV70 @ ( sK11_SY41 @ SV70 ) ) ) )
= $false )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(374,plain,
! [SV75: $i,SV74: $i,SV73: $i,SV69: $i] :
( ( ( ~ ( rp @ SV69 @ SV73 )
| ~ ( rp @ SV69 @ SV74 )
| ~ ( rp @ SV69 @ SV75 )
| ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(375,plain,
! [SV70: $i] :
( ( ( ( ( sK10_Y0 @ SV70 )
!= ( sK11_SY41 @ SV70 ) ) )
= $true )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[372]) ).
thf(376,plain,
! [SV70: $i] :
( ( ( ~ ( ~ ( rp @ SV70 @ ( sK10_Y0 @ SV70 ) )
| ~ ( rp @ SV70 @ ( sK11_SY41 @ SV70 ) ) ) )
= $true )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(377,plain,
! [SV75: $i,SV74: $i,SV73: $i,SV69: $i] :
( ( ( ~ ( rp @ SV69 @ SV73 )
| ~ ( rp @ SV69 @ SV74 )
| ~ ( rp @ SV69 @ SV75 ) )
= $true )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(378,plain,
! [SV70: $i] :
( ( ( ( sK10_Y0 @ SV70 )
= ( sK11_SY41 @ SV70 ) )
= $false )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(379,plain,
! [SV70: $i] :
( ( ( ~ ( rp @ SV70 @ ( sK10_Y0 @ SV70 ) )
| ~ ( rp @ SV70 @ ( sK11_SY41 @ SV70 ) ) )
= $false )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(380,plain,
! [SV75: $i,SV74: $i,SV73: $i,SV69: $i] :
( ( ( ~ ( rp @ SV69 @ SV73 )
| ~ ( rp @ SV69 @ SV74 ) )
= $true )
| ( ( ~ ( rp @ SV69 @ SV75 ) )
= $true )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(381,plain,
! [SV70: $i] :
( ( ( ~ ( rp @ SV70 @ ( sK10_Y0 @ SV70 ) ) )
= $false )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(382,plain,
! [SV70: $i] :
( ( ( ~ ( rp @ SV70 @ ( sK11_SY41 @ SV70 ) ) )
= $false )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(383,plain,
! [SV75: $i,SV74: $i,SV73: $i,SV69: $i] :
( ( ( ~ ( rp @ SV69 @ SV73 ) )
= $true )
| ( ( ~ ( rp @ SV69 @ SV74 ) )
= $true )
| ( ( ~ ( rp @ SV69 @ SV75 ) )
= $true )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(384,plain,
! [SV70: $i] :
( ( ( rp @ SV70 @ ( sK10_Y0 @ SV70 ) )
= $true )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(385,plain,
! [SV70: $i] :
( ( ( rp @ SV70 @ ( sK11_SY41 @ SV70 ) )
= $true )
| ( ( cc @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(386,plain,
! [SV75: $i,SV74: $i,SV73: $i,SV69: $i] :
( ( ( rp @ SV69 @ SV73 )
= $false )
| ( ( ~ ( rp @ SV69 @ SV74 ) )
= $true )
| ( ( ~ ( rp @ SV69 @ SV75 ) )
= $true )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(387,plain,
! [SV75: $i,SV73: $i,SV74: $i,SV69: $i] :
( ( ( rp @ SV69 @ SV74 )
= $false )
| ( ( rp @ SV69 @ SV73 )
= $false )
| ( ( ~ ( rp @ SV69 @ SV75 ) )
= $true )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(388,plain,
! [SV74: $i,SV73: $i,SV75: $i,SV69: $i] :
( ( ( rp @ SV69 @ SV75 )
= $false )
| ( ( rp @ SV69 @ SV73 )
= $false )
| ( ( rp @ SV69 @ SV74 )
= $false )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(389,plain,
! [SV69: $i,SV73: $i,SV75: $i,SV74: $i] :
( ( ( SV74 = SV75 )
= $true )
| ( ( ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( rp @ SV69 @ SV74 )
= $false )
| ( ( rp @ SV69 @ SV73 )
= $false )
| ( ( rp @ SV69 @ SV75 )
= $false )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(390,plain,
! [SV69: $i,SV75: $i,SV74: $i,SV73: $i] :
( ( ( SV73 = SV74 )
= $true )
| ( ( SV73 = SV75 )
= $true )
| ( ( SV74 = SV75 )
= $true )
| ( ( rp @ SV69 @ SV74 )
= $false )
| ( ( rp @ SV69 @ SV73 )
= $false )
| ( ( rp @ SV69 @ SV75 )
= $false )
| ( ( cc @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(391,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[329,390,385,384,378,370,367,366,362,361,358,357,356,355,351,338,330]) ).
thf(392,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(393,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(394,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(395,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(396,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(397,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(398,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(399,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(400,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(401,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( rp @ X @ Y0 )
| ~ ( rp @ X @ Y1 )
| ~ ( rp @ X @ Y2 )
| ( Y1 = Y2 )
| ( Y0 = Y1 )
| ( Y0 = Y2 ) ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ( ( ( sK10_Y0 @ X )
!= ( sK11_SY41 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY41 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(402,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(403,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(404,plain,
( ( ~ ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[402]) ).
thf(405,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(406,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(407,plain,
! [SV76: $i] :
( ( ! [SY93: $i] :
( ( SV76 != SY93 )
| ~ ( cc @ SV76 )
| ( cc @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(408,plain,
! [SV77: $i] :
( ( ! [SY94: $i] :
( ( SV77 != SY94 )
| ~ ( cowlNothing @ SV77 )
| ( cowlNothing @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(409,plain,
! [SV78: $i] :
( ( ! [SY95: $i] :
( ( SV78 != SY95 )
| ~ ( cowlThing @ SV78 )
| ( cowlThing @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(410,plain,
! [SV79: $i] :
( ( ! [SY96: $i,SY97: $i] :
( ( SV79 != SY96 )
| ~ ( rp @ SV79 @ SY97 )
| ( rp @ SY96 @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(411,plain,
! [SV80: $i] :
( ( ! [SY98: $i,SY99: $i] :
( ( SV80 != SY98 )
| ~ ( rp @ SY99 @ SV80 )
| ( rp @ SY99 @ SY98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(412,plain,
! [SV81: $i] :
( ( ! [SY100: $i] :
( ( SV81 != SY100 )
| ~ ( xsd_integer @ SV81 )
| ( xsd_integer @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(413,plain,
! [SV82: $i] :
( ( ! [SY101: $i] :
( ( SV82 != SY101 )
| ~ ( xsd_string @ SV82 )
| ( xsd_string @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(414,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(415,plain,
( ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(416,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(417,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(418,plain,
! [SV83: $i,SV76: $i] :
( ( ( SV76 != SV83 )
| ~ ( cc @ SV76 )
| ( cc @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(419,plain,
! [SV84: $i,SV77: $i] :
( ( ( SV77 != SV84 )
| ~ ( cowlNothing @ SV77 )
| ( cowlNothing @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(420,plain,
! [SV85: $i,SV78: $i] :
( ( ( SV78 != SV85 )
| ~ ( cowlThing @ SV78 )
| ( cowlThing @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(421,plain,
! [SV86: $i,SV79: $i] :
( ( ! [SY102: $i] :
( ( SV79 != SV86 )
| ~ ( rp @ SV79 @ SY102 )
| ( rp @ SV86 @ SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(422,plain,
! [SV87: $i,SV80: $i] :
( ( ! [SY103: $i] :
( ( SV80 != SV87 )
| ~ ( rp @ SY103 @ SV80 )
| ( rp @ SY103 @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(423,plain,
! [SV88: $i,SV81: $i] :
( ( ( SV81 != SV88 )
| ~ ( xsd_integer @ SV81 )
| ( xsd_integer @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(424,plain,
! [SV89: $i,SV82: $i] :
( ( ( SV82 != SV89 )
| ~ ( xsd_string @ SV82 )
| ( xsd_string @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(425,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(426,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(427,plain,
( ( ~ ~ ( xsd_integer @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(428,plain,
( ( ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[415]) ).
thf(429,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(430,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(431,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(432,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(433,plain,
! [SV83: $i,SV76: $i] :
( ( ( ( SV76 != SV83 )
| ~ ( cc @ SV76 ) )
= $true )
| ( ( cc @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(434,plain,
! [SV84: $i,SV77: $i] :
( ( ( ( SV77 != SV84 )
| ~ ( cowlNothing @ SV77 ) )
= $true )
| ( ( cowlNothing @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(435,plain,
! [SV85: $i,SV78: $i] :
( ( ( ( SV78 != SV85 )
| ~ ( cowlThing @ SV78 ) )
= $true )
| ( ( cowlThing @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(436,plain,
! [SV90: $i,SV86: $i,SV79: $i] :
( ( ( SV79 != SV86 )
| ~ ( rp @ SV79 @ SV90 )
| ( rp @ SV86 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(437,plain,
! [SV91: $i,SV87: $i,SV80: $i] :
( ( ( SV80 != SV87 )
| ~ ( rp @ SV91 @ SV80 )
| ( rp @ SV91 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(438,plain,
! [SV88: $i,SV81: $i] :
( ( ( ( SV81 != SV88 )
| ~ ( xsd_integer @ SV81 ) )
= $true )
| ( ( xsd_integer @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(439,plain,
! [SV89: $i,SV82: $i] :
( ( ( ( SV82 != SV89 )
| ~ ( xsd_string @ SV82 ) )
= $true )
| ( ( xsd_string @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(440,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(441,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(442,plain,
( ( ~ ( xsd_integer @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(443,plain,
( ( ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(444,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(445,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(446,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(447,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(448,plain,
! [SV83: $i,SV76: $i] :
( ( ( ( SV76 != SV83 ) )
= $true )
| ( ( ~ ( cc @ SV76 ) )
= $true )
| ( ( cc @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(449,plain,
! [SV84: $i,SV77: $i] :
( ( ( ( SV77 != SV84 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV77 ) )
= $true )
| ( ( cowlNothing @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(450,plain,
! [SV85: $i,SV78: $i] :
( ( ( ( SV78 != SV85 ) )
= $true )
| ( ( ~ ( cowlThing @ SV78 ) )
= $true )
| ( ( cowlThing @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(451,plain,
! [SV90: $i,SV86: $i,SV79: $i] :
( ( ( ( SV79 != SV86 )
| ~ ( rp @ SV79 @ SV90 ) )
= $true )
| ( ( rp @ SV86 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(452,plain,
! [SV91: $i,SV87: $i,SV80: $i] :
( ( ( ( SV80 != SV87 )
| ~ ( rp @ SV91 @ SV80 ) )
= $true )
| ( ( rp @ SV91 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(453,plain,
! [SV88: $i,SV81: $i] :
( ( ( ( SV81 != SV88 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV81 ) )
= $true )
| ( ( xsd_integer @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(454,plain,
! [SV89: $i,SV82: $i] :
( ( ( ( SV82 != SV89 ) )
= $true )
| ( ( ~ ( xsd_string @ SV82 ) )
= $true )
| ( ( xsd_string @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(455,plain,
! [SV92: $i] :
( ( ~ ( cc @ SV92 )
| ! [SY104: $i,SY105: $i,SY106: $i] :
( ~ ( rp @ SV92 @ SY104 )
| ~ ( rp @ SV92 @ SY105 )
| ~ ( rp @ SV92 @ SY106 )
| ( SY105 = SY106 )
| ( SY104 = SY105 )
| ( SY104 = SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(456,plain,
! [SV93: $i] :
( ( ~ ( cc @ SV93 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV93 )
!= ( sK11_SY41 @ SV93 ) ) )
| ~ ~ ( ~ ( rp @ SV93 @ ( sK10_Y0 @ SV93 ) )
| ~ ( rp @ SV93 @ ( sK11_SY41 @ SV93 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(457,plain,
( ( xsd_integer @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(458,plain,
( ( xsd_string @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(459,plain,
! [SV94: $i] :
( ( ~ ( xsd_string @ SV94 )
| ~ ( xsd_integer @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(460,plain,
! [SV95: $i] :
( ( ( xsd_integer @ SV95 )
| ( xsd_string @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(461,plain,
! [SV96: $i] :
( ( cowlThing @ SV96 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(462,plain,
! [SV97: $i] :
( ( ~ ( cowlNothing @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(463,plain,
! [SV83: $i,SV76: $i] :
( ( ( SV76 = SV83 )
= $false )
| ( ( ~ ( cc @ SV76 ) )
= $true )
| ( ( cc @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(464,plain,
! [SV84: $i,SV77: $i] :
( ( ( SV77 = SV84 )
= $false )
| ( ( ~ ( cowlNothing @ SV77 ) )
= $true )
| ( ( cowlNothing @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(465,plain,
! [SV85: $i,SV78: $i] :
( ( ( SV78 = SV85 )
= $false )
| ( ( ~ ( cowlThing @ SV78 ) )
= $true )
| ( ( cowlThing @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(466,plain,
! [SV90: $i,SV86: $i,SV79: $i] :
( ( ( ( SV79 != SV86 ) )
= $true )
| ( ( ~ ( rp @ SV79 @ SV90 ) )
= $true )
| ( ( rp @ SV86 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(467,plain,
! [SV91: $i,SV87: $i,SV80: $i] :
( ( ( ( SV80 != SV87 ) )
= $true )
| ( ( ~ ( rp @ SV91 @ SV80 ) )
= $true )
| ( ( rp @ SV91 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(468,plain,
! [SV88: $i,SV81: $i] :
( ( ( SV81 = SV88 )
= $false )
| ( ( ~ ( xsd_integer @ SV81 ) )
= $true )
| ( ( xsd_integer @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(469,plain,
! [SV89: $i,SV82: $i] :
( ( ( SV82 = SV89 )
= $false )
| ( ( ~ ( xsd_string @ SV82 ) )
= $true )
| ( ( xsd_string @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(470,plain,
! [SV92: $i] :
( ( ( ~ ( cc @ SV92 ) )
= $true )
| ( ( ! [SY104: $i,SY105: $i,SY106: $i] :
( ~ ( rp @ SV92 @ SY104 )
| ~ ( rp @ SV92 @ SY105 )
| ~ ( rp @ SV92 @ SY106 )
| ( SY105 = SY106 )
| ( SY104 = SY105 )
| ( SY104 = SY106 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(471,plain,
! [SV93: $i] :
( ( ( ~ ( cc @ SV93 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV93 )
!= ( sK11_SY41 @ SV93 ) ) )
| ~ ~ ( ~ ( rp @ SV93 @ ( sK10_Y0 @ SV93 ) )
| ~ ( rp @ SV93 @ ( sK11_SY41 @ SV93 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[456]) ).
thf(472,plain,
! [SV94: $i] :
( ( ( ~ ( xsd_string @ SV94 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(473,plain,
! [SV95: $i] :
( ( ( xsd_integer @ SV95 )
= $true )
| ( ( xsd_string @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(474,plain,
! [SV97: $i] :
( ( cowlNothing @ SV97 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(475,plain,
! [SV83: $i,SV76: $i] :
( ( ( cc @ SV76 )
= $false )
| ( ( SV76 = SV83 )
= $false )
| ( ( cc @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(476,plain,
! [SV84: $i,SV77: $i] :
( ( ( cowlNothing @ SV77 )
= $false )
| ( ( SV77 = SV84 )
= $false )
| ( ( cowlNothing @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(477,plain,
! [SV85: $i,SV78: $i] :
( ( ( cowlThing @ SV78 )
= $false )
| ( ( SV78 = SV85 )
= $false )
| ( ( cowlThing @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(478,plain,
! [SV90: $i,SV86: $i,SV79: $i] :
( ( ( SV79 = SV86 )
= $false )
| ( ( ~ ( rp @ SV79 @ SV90 ) )
= $true )
| ( ( rp @ SV86 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(479,plain,
! [SV91: $i,SV87: $i,SV80: $i] :
( ( ( SV80 = SV87 )
= $false )
| ( ( ~ ( rp @ SV91 @ SV80 ) )
= $true )
| ( ( rp @ SV91 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(480,plain,
! [SV88: $i,SV81: $i] :
( ( ( xsd_integer @ SV81 )
= $false )
| ( ( SV81 = SV88 )
= $false )
| ( ( xsd_integer @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(481,plain,
! [SV89: $i,SV82: $i] :
( ( ( xsd_string @ SV82 )
= $false )
| ( ( SV82 = SV89 )
= $false )
| ( ( xsd_string @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(482,plain,
! [SV92: $i] :
( ( ( cc @ SV92 )
= $false )
| ( ( ! [SY104: $i,SY105: $i,SY106: $i] :
( ~ ( rp @ SV92 @ SY104 )
| ~ ( rp @ SV92 @ SY105 )
| ~ ( rp @ SV92 @ SY106 )
| ( SY105 = SY106 )
| ( SY104 = SY105 )
| ( SY104 = SY106 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(483,plain,
! [SV93: $i] :
( ( ( cc @ SV93 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV93 )
!= ( sK11_SY41 @ SV93 ) ) )
| ~ ~ ( ~ ( rp @ SV93 @ ( sK10_Y0 @ SV93 ) )
| ~ ( rp @ SV93 @ ( sK11_SY41 @ SV93 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(484,plain,
! [SV94: $i] :
( ( ( xsd_string @ SV94 )
= $false )
| ( ( ~ ( xsd_integer @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(485,plain,
! [SV86: $i,SV90: $i,SV79: $i] :
( ( ( rp @ SV79 @ SV90 )
= $false )
| ( ( SV79 = SV86 )
= $false )
| ( ( rp @ SV86 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(486,plain,
! [SV87: $i,SV80: $i,SV91: $i] :
( ( ( rp @ SV91 @ SV80 )
= $false )
| ( ( SV80 = SV87 )
= $false )
| ( ( rp @ SV91 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(487,plain,
! [SV98: $i,SV92: $i] :
( ( ( ! [SY107: $i,SY108: $i] :
( ~ ( rp @ SV92 @ SV98 )
| ~ ( rp @ SV92 @ SY107 )
| ~ ( rp @ SV92 @ SY108 )
| ( SY107 = SY108 )
| ( SV98 = SY107 )
| ( SV98 = SY108 ) ) )
= $true )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(488,plain,
! [SV93: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV93 )
!= ( sK11_SY41 @ SV93 ) ) )
| ~ ~ ( ~ ( rp @ SV93 @ ( sK10_Y0 @ SV93 ) )
| ~ ( rp @ SV93 @ ( sK11_SY41 @ SV93 ) ) ) )
= $false )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(489,plain,
! [SV94: $i] :
( ( ( xsd_integer @ SV94 )
= $false )
| ( ( xsd_string @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(490,plain,
! [SV99: $i,SV98: $i,SV92: $i] :
( ( ( ! [SY109: $i] :
( ~ ( rp @ SV92 @ SV98 )
| ~ ( rp @ SV92 @ SV99 )
| ~ ( rp @ SV92 @ SY109 )
| ( SV99 = SY109 )
| ( SV98 = SV99 )
| ( SV98 = SY109 ) ) )
= $true )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(491,plain,
! [SV93: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV93 )
!= ( sK11_SY41 @ SV93 ) ) ) )
= $false )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(492,plain,
! [SV93: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV93 @ ( sK10_Y0 @ SV93 ) )
| ~ ( rp @ SV93 @ ( sK11_SY41 @ SV93 ) ) ) )
= $false )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(493,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV92: $i] :
( ( ( ~ ( rp @ SV92 @ SV98 )
| ~ ( rp @ SV92 @ SV99 )
| ~ ( rp @ SV92 @ SV100 )
| ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(494,plain,
! [SV93: $i] :
( ( ( ( ( sK10_Y0 @ SV93 )
!= ( sK11_SY41 @ SV93 ) ) )
= $true )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(495,plain,
! [SV93: $i] :
( ( ( ~ ( ~ ( rp @ SV93 @ ( sK10_Y0 @ SV93 ) )
| ~ ( rp @ SV93 @ ( sK11_SY41 @ SV93 ) ) ) )
= $true )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(496,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV92: $i] :
( ( ( ~ ( rp @ SV92 @ SV98 )
| ~ ( rp @ SV92 @ SV99 )
| ~ ( rp @ SV92 @ SV100 ) )
= $true )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(497,plain,
! [SV93: $i] :
( ( ( ( sK10_Y0 @ SV93 )
= ( sK11_SY41 @ SV93 ) )
= $false )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(498,plain,
! [SV93: $i] :
( ( ( ~ ( rp @ SV93 @ ( sK10_Y0 @ SV93 ) )
| ~ ( rp @ SV93 @ ( sK11_SY41 @ SV93 ) ) )
= $false )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(499,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV92: $i] :
( ( ( ~ ( rp @ SV92 @ SV98 )
| ~ ( rp @ SV92 @ SV99 ) )
= $true )
| ( ( ~ ( rp @ SV92 @ SV100 ) )
= $true )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(500,plain,
! [SV93: $i] :
( ( ( ~ ( rp @ SV93 @ ( sK10_Y0 @ SV93 ) ) )
= $false )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(501,plain,
! [SV93: $i] :
( ( ( ~ ( rp @ SV93 @ ( sK11_SY41 @ SV93 ) ) )
= $false )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(502,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV92: $i] :
( ( ( ~ ( rp @ SV92 @ SV98 ) )
= $true )
| ( ( ~ ( rp @ SV92 @ SV99 ) )
= $true )
| ( ( ~ ( rp @ SV92 @ SV100 ) )
= $true )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(503,plain,
! [SV93: $i] :
( ( ( rp @ SV93 @ ( sK10_Y0 @ SV93 ) )
= $true )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(504,plain,
! [SV93: $i] :
( ( ( rp @ SV93 @ ( sK11_SY41 @ SV93 ) )
= $true )
| ( ( cc @ SV93 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(505,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV92: $i] :
( ( ( rp @ SV92 @ SV98 )
= $false )
| ( ( ~ ( rp @ SV92 @ SV99 ) )
= $true )
| ( ( ~ ( rp @ SV92 @ SV100 ) )
= $true )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(506,plain,
! [SV100: $i,SV98: $i,SV99: $i,SV92: $i] :
( ( ( rp @ SV92 @ SV99 )
= $false )
| ( ( rp @ SV92 @ SV98 )
= $false )
| ( ( ~ ( rp @ SV92 @ SV100 ) )
= $true )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(507,plain,
! [SV99: $i,SV98: $i,SV100: $i,SV92: $i] :
( ( ( rp @ SV92 @ SV100 )
= $false )
| ( ( rp @ SV92 @ SV98 )
= $false )
| ( ( rp @ SV92 @ SV99 )
= $false )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(508,plain,
! [SV92: $i,SV98: $i,SV100: $i,SV99: $i] :
( ( ( SV99 = SV100 )
= $true )
| ( ( ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( rp @ SV92 @ SV99 )
= $false )
| ( ( rp @ SV92 @ SV98 )
= $false )
| ( ( rp @ SV92 @ SV100 )
= $false )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(509,plain,
! [SV92: $i,SV100: $i,SV99: $i,SV98: $i] :
( ( ( SV98 = SV99 )
= $true )
| ( ( SV98 = SV100 )
= $true )
| ( ( SV99 = SV100 )
= $true )
| ( ( rp @ SV92 @ SV99 )
= $false )
| ( ( rp @ SV92 @ SV98 )
= $false )
| ( ( rp @ SV92 @ SV100 )
= $false )
| ( ( cc @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(510,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[457,509,504,503,497,489,486,485,481,480,477,476,475,474,473,461,458]) ).
thf(511,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(512,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(513,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(514,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(515,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(516,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(517,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(518,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(519,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(520,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( rp @ X @ Y0 )
| ~ ( rp @ X @ Y1 )
| ~ ( rp @ X @ Y2 )
| ( Y1 = Y2 )
| ( Y0 = Y1 )
| ( Y0 = Y2 ) ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ( ( ( sK10_Y0 @ X )
!= ( sK11_SY41 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY41 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(521,plain,
( ( ( cc @ sK5_X )
& ( rp @ sK5_X @ sK6_SY33 )
& ( rp @ sK5_X @ sK7_SY36 )
& ( rp @ sK5_X @ sK8_SY38 )
& ( sK7_SY36 != sK8_SY38 )
& ( sK6_SY33 != sK7_SY36 )
& ( sK6_SY33 != sK8_SY38 ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(522,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[520]) ).
thf(523,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(524,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(525,plain,
( ( ~ ( ~ ( cc @ sK5_X )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) )
| ~ ( rp @ sK5_X @ sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK7_SY36 != sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[521]) ).
thf(526,plain,
! [SV101: $i] :
( ( ! [SY110: $i] :
( ( SV101 != SY110 )
| ~ ( cc @ SV101 )
| ( cc @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(527,plain,
! [SV102: $i] :
( ( ! [SY111: $i] :
( ( SV102 != SY111 )
| ~ ( cowlNothing @ SV102 )
| ( cowlNothing @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(528,plain,
! [SV103: $i] :
( ( ! [SY112: $i] :
( ( SV103 != SY112 )
| ~ ( cowlThing @ SV103 )
| ( cowlThing @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(529,plain,
! [SV104: $i] :
( ( ! [SY113: $i,SY114: $i] :
( ( SV104 != SY113 )
| ~ ( rp @ SV104 @ SY114 )
| ( rp @ SY113 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(530,plain,
! [SV105: $i] :
( ( ! [SY115: $i,SY116: $i] :
( ( SV105 != SY115 )
| ~ ( rp @ SY116 @ SV105 )
| ( rp @ SY116 @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(531,plain,
! [SV106: $i] :
( ( ! [SY117: $i] :
( ( SV106 != SY117 )
| ~ ( xsd_integer @ SV106 )
| ( xsd_integer @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(532,plain,
! [SV107: $i] :
( ( ! [SY118: $i] :
( ( SV107 != SY118 )
| ~ ( xsd_string @ SV107 )
| ( xsd_string @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(533,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(534,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(535,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(536,plain,
( ( ~ ( cc @ sK5_X )
| ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) )
| ~ ( rp @ sK5_X @ sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK7_SY36 != sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(537,plain,
! [SV108: $i,SV101: $i] :
( ( ( SV101 != SV108 )
| ~ ( cc @ SV101 )
| ( cc @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(538,plain,
! [SV109: $i,SV102: $i] :
( ( ( SV102 != SV109 )
| ~ ( cowlNothing @ SV102 )
| ( cowlNothing @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(539,plain,
! [SV110: $i,SV103: $i] :
( ( ( SV103 != SV110 )
| ~ ( cowlThing @ SV103 )
| ( cowlThing @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(540,plain,
! [SV111: $i,SV104: $i] :
( ( ! [SY119: $i] :
( ( SV104 != SV111 )
| ~ ( rp @ SV104 @ SY119 )
| ( rp @ SV111 @ SY119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(541,plain,
! [SV112: $i,SV105: $i] :
( ( ! [SY120: $i] :
( ( SV105 != SV112 )
| ~ ( rp @ SY120 @ SV105 )
| ( rp @ SY120 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(542,plain,
! [SV113: $i,SV106: $i] :
( ( ( SV106 != SV113 )
| ~ ( xsd_integer @ SV106 )
| ( xsd_integer @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(543,plain,
! [SV114: $i,SV107: $i] :
( ( ( SV107 != SV114 )
| ~ ( xsd_string @ SV107 )
| ( xsd_string @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(544,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(545,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(546,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(547,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(548,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(549,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(550,plain,
( ( ~ ( cc @ sK5_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(551,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) )
| ~ ( rp @ sK5_X @ sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK7_SY36 != sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(552,plain,
! [SV108: $i,SV101: $i] :
( ( ( ( SV101 != SV108 )
| ~ ( cc @ SV101 ) )
= $true )
| ( ( cc @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(553,plain,
! [SV109: $i,SV102: $i] :
( ( ( ( SV102 != SV109 )
| ~ ( cowlNothing @ SV102 ) )
= $true )
| ( ( cowlNothing @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(554,plain,
! [SV110: $i,SV103: $i] :
( ( ( ( SV103 != SV110 )
| ~ ( cowlThing @ SV103 ) )
= $true )
| ( ( cowlThing @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(555,plain,
! [SV115: $i,SV111: $i,SV104: $i] :
( ( ( SV104 != SV111 )
| ~ ( rp @ SV104 @ SV115 )
| ( rp @ SV111 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(556,plain,
! [SV116: $i,SV112: $i,SV105: $i] :
( ( ( SV105 != SV112 )
| ~ ( rp @ SV116 @ SV105 )
| ( rp @ SV116 @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(557,plain,
! [SV113: $i,SV106: $i] :
( ( ( ( SV106 != SV113 )
| ~ ( xsd_integer @ SV106 ) )
= $true )
| ( ( xsd_integer @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(558,plain,
! [SV114: $i,SV107: $i] :
( ( ( ( SV107 != SV114 )
| ~ ( xsd_string @ SV107 ) )
= $true )
| ( ( xsd_string @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[543]) ).
thf(559,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(560,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(561,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(562,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(563,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(564,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(565,plain,
( ( cc @ sK5_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(566,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) )
| ~ ( rp @ sK5_X @ sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK7_SY36 != sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(567,plain,
! [SV108: $i,SV101: $i] :
( ( ( ( SV101 != SV108 ) )
= $true )
| ( ( ~ ( cc @ SV101 ) )
= $true )
| ( ( cc @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(568,plain,
! [SV109: $i,SV102: $i] :
( ( ( ( SV102 != SV109 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV102 ) )
= $true )
| ( ( cowlNothing @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(569,plain,
! [SV110: $i,SV103: $i] :
( ( ( ( SV103 != SV110 ) )
= $true )
| ( ( ~ ( cowlThing @ SV103 ) )
= $true )
| ( ( cowlThing @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(570,plain,
! [SV115: $i,SV111: $i,SV104: $i] :
( ( ( ( SV104 != SV111 )
| ~ ( rp @ SV104 @ SV115 ) )
= $true )
| ( ( rp @ SV111 @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(571,plain,
! [SV116: $i,SV112: $i,SV105: $i] :
( ( ( ( SV105 != SV112 )
| ~ ( rp @ SV116 @ SV105 ) )
= $true )
| ( ( rp @ SV116 @ SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(572,plain,
! [SV113: $i,SV106: $i] :
( ( ( ( SV106 != SV113 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV106 ) )
= $true )
| ( ( xsd_integer @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(573,plain,
! [SV114: $i,SV107: $i] :
( ( ( ( SV107 != SV114 ) )
= $true )
| ( ( ~ ( xsd_string @ SV107 ) )
= $true )
| ( ( xsd_string @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(574,plain,
! [SV117: $i] :
( ( ~ ( cc @ SV117 )
| ! [SY121: $i,SY122: $i,SY123: $i] :
( ~ ( rp @ SV117 @ SY121 )
| ~ ( rp @ SV117 @ SY122 )
| ~ ( rp @ SV117 @ SY123 )
| ( SY122 = SY123 )
| ( SY121 = SY122 )
| ( SY121 = SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(575,plain,
! [SV118: $i] :
( ( ~ ( cc @ SV118 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV118 )
!= ( sK11_SY41 @ SV118 ) ) )
| ~ ~ ( ~ ( rp @ SV118 @ ( sK10_Y0 @ SV118 ) )
| ~ ( rp @ SV118 @ ( sK11_SY41 @ SV118 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(576,plain,
! [SV119: $i] :
( ( cowlThing @ SV119 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(577,plain,
! [SV120: $i] :
( ( ~ ( cowlNothing @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(578,plain,
! [SV121: $i] :
( ( ~ ( xsd_string @ SV121 )
| ~ ( xsd_integer @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(579,plain,
! [SV122: $i] :
( ( ( xsd_integer @ SV122 )
| ( xsd_string @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(580,plain,
( ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) )
| ~ ( rp @ sK5_X @ sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK7_SY36 != sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(581,plain,
! [SV108: $i,SV101: $i] :
( ( ( SV101 = SV108 )
= $false )
| ( ( ~ ( cc @ SV101 ) )
= $true )
| ( ( cc @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(582,plain,
! [SV109: $i,SV102: $i] :
( ( ( SV102 = SV109 )
= $false )
| ( ( ~ ( cowlNothing @ SV102 ) )
= $true )
| ( ( cowlNothing @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(583,plain,
! [SV110: $i,SV103: $i] :
( ( ( SV103 = SV110 )
= $false )
| ( ( ~ ( cowlThing @ SV103 ) )
= $true )
| ( ( cowlThing @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(584,plain,
! [SV115: $i,SV111: $i,SV104: $i] :
( ( ( ( SV104 != SV111 ) )
= $true )
| ( ( ~ ( rp @ SV104 @ SV115 ) )
= $true )
| ( ( rp @ SV111 @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(585,plain,
! [SV116: $i,SV112: $i,SV105: $i] :
( ( ( ( SV105 != SV112 ) )
= $true )
| ( ( ~ ( rp @ SV116 @ SV105 ) )
= $true )
| ( ( rp @ SV116 @ SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(586,plain,
! [SV113: $i,SV106: $i] :
( ( ( SV106 = SV113 )
= $false )
| ( ( ~ ( xsd_integer @ SV106 ) )
= $true )
| ( ( xsd_integer @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(587,plain,
! [SV114: $i,SV107: $i] :
( ( ( SV107 = SV114 )
= $false )
| ( ( ~ ( xsd_string @ SV107 ) )
= $true )
| ( ( xsd_string @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(588,plain,
! [SV117: $i] :
( ( ( ~ ( cc @ SV117 ) )
= $true )
| ( ( ! [SY121: $i,SY122: $i,SY123: $i] :
( ~ ( rp @ SV117 @ SY121 )
| ~ ( rp @ SV117 @ SY122 )
| ~ ( rp @ SV117 @ SY123 )
| ( SY122 = SY123 )
| ( SY121 = SY122 )
| ( SY121 = SY123 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(589,plain,
! [SV118: $i] :
( ( ( ~ ( cc @ SV118 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV118 )
!= ( sK11_SY41 @ SV118 ) ) )
| ~ ~ ( ~ ( rp @ SV118 @ ( sK10_Y0 @ SV118 ) )
| ~ ( rp @ SV118 @ ( sK11_SY41 @ SV118 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(590,plain,
! [SV120: $i] :
( ( cowlNothing @ SV120 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(591,plain,
! [SV121: $i] :
( ( ( ~ ( xsd_string @ SV121 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(592,plain,
! [SV122: $i] :
( ( ( xsd_integer @ SV122 )
= $true )
| ( ( xsd_string @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(593,plain,
( ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) )
| ~ ( rp @ sK5_X @ sK8_SY38 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(594,plain,
( ( ~ ~ ( ~ ( ( sK7_SY36 != sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(595,plain,
! [SV108: $i,SV101: $i] :
( ( ( cc @ SV101 )
= $false )
| ( ( SV101 = SV108 )
= $false )
| ( ( cc @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(596,plain,
! [SV109: $i,SV102: $i] :
( ( ( cowlNothing @ SV102 )
= $false )
| ( ( SV102 = SV109 )
= $false )
| ( ( cowlNothing @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(597,plain,
! [SV110: $i,SV103: $i] :
( ( ( cowlThing @ SV103 )
= $false )
| ( ( SV103 = SV110 )
= $false )
| ( ( cowlThing @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(598,plain,
! [SV115: $i,SV111: $i,SV104: $i] :
( ( ( SV104 = SV111 )
= $false )
| ( ( ~ ( rp @ SV104 @ SV115 ) )
= $true )
| ( ( rp @ SV111 @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(599,plain,
! [SV116: $i,SV112: $i,SV105: $i] :
( ( ( SV105 = SV112 )
= $false )
| ( ( ~ ( rp @ SV116 @ SV105 ) )
= $true )
| ( ( rp @ SV116 @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(600,plain,
! [SV113: $i,SV106: $i] :
( ( ( xsd_integer @ SV106 )
= $false )
| ( ( SV106 = SV113 )
= $false )
| ( ( xsd_integer @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(601,plain,
! [SV114: $i,SV107: $i] :
( ( ( xsd_string @ SV107 )
= $false )
| ( ( SV107 = SV114 )
= $false )
| ( ( xsd_string @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(602,plain,
! [SV117: $i] :
( ( ( cc @ SV117 )
= $false )
| ( ( ! [SY121: $i,SY122: $i,SY123: $i] :
( ~ ( rp @ SV117 @ SY121 )
| ~ ( rp @ SV117 @ SY122 )
| ~ ( rp @ SV117 @ SY123 )
| ( SY122 = SY123 )
| ( SY121 = SY122 )
| ( SY121 = SY123 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(603,plain,
! [SV118: $i] :
( ( ( cc @ SV118 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV118 )
!= ( sK11_SY41 @ SV118 ) ) )
| ~ ~ ( ~ ( rp @ SV118 @ ( sK10_Y0 @ SV118 ) )
| ~ ( rp @ SV118 @ ( sK11_SY41 @ SV118 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(604,plain,
! [SV121: $i] :
( ( ( xsd_string @ SV121 )
= $false )
| ( ( ~ ( xsd_integer @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(605,plain,
( ( ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) )
| ~ ( rp @ sK5_X @ sK8_SY38 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(606,plain,
( ( ~ ( ~ ( ( sK7_SY36 != sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(607,plain,
! [SV111: $i,SV115: $i,SV104: $i] :
( ( ( rp @ SV104 @ SV115 )
= $false )
| ( ( SV104 = SV111 )
= $false )
| ( ( rp @ SV111 @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(608,plain,
! [SV112: $i,SV105: $i,SV116: $i] :
( ( ( rp @ SV116 @ SV105 )
= $false )
| ( ( SV105 = SV112 )
= $false )
| ( ( rp @ SV116 @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(609,plain,
! [SV123: $i,SV117: $i] :
( ( ( ! [SY124: $i,SY125: $i] :
( ~ ( rp @ SV117 @ SV123 )
| ~ ( rp @ SV117 @ SY124 )
| ~ ( rp @ SV117 @ SY125 )
| ( SY124 = SY125 )
| ( SV123 = SY124 )
| ( SV123 = SY125 ) ) )
= $true )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(610,plain,
! [SV118: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV118 )
!= ( sK11_SY41 @ SV118 ) ) )
| ~ ~ ( ~ ( rp @ SV118 @ ( sK10_Y0 @ SV118 ) )
| ~ ( rp @ SV118 @ ( sK11_SY41 @ SV118 ) ) ) )
= $false )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(611,plain,
! [SV121: $i] :
( ( ( xsd_integer @ SV121 )
= $false )
| ( ( xsd_string @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(612,plain,
( ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) )
| ~ ( rp @ sK5_X @ sK8_SY38 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(613,plain,
( ( ~ ( ( sK7_SY36 != sK8_SY38 ) )
| ~ ~ ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(614,plain,
! [SV124: $i,SV123: $i,SV117: $i] :
( ( ( ! [SY126: $i] :
( ~ ( rp @ SV117 @ SV123 )
| ~ ( rp @ SV117 @ SV124 )
| ~ ( rp @ SV117 @ SY126 )
| ( SV124 = SY126 )
| ( SV123 = SV124 )
| ( SV123 = SY126 ) ) )
= $true )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(615,plain,
! [SV118: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV118 )
!= ( sK11_SY41 @ SV118 ) ) ) )
= $false )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[610]) ).
thf(616,plain,
! [SV118: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV118 @ ( sK10_Y0 @ SV118 ) )
| ~ ( rp @ SV118 @ ( sK11_SY41 @ SV118 ) ) ) )
= $false )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[610]) ).
thf(617,plain,
( ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(618,plain,
( ( ~ ( rp @ sK5_X @ sK8_SY38 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[612]) ).
thf(619,plain,
( ( ~ ( ( sK7_SY36 != sK8_SY38 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[613]) ).
thf(620,plain,
( ( ~ ~ ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[613]) ).
thf(621,plain,
! [SV125: $i,SV124: $i,SV123: $i,SV117: $i] :
( ( ( ~ ( rp @ SV117 @ SV123 )
| ~ ( rp @ SV117 @ SV124 )
| ~ ( rp @ SV117 @ SV125 )
| ( SV124 = SV125 )
| ( SV123 = SV124 )
| ( SV123 = SV125 ) )
= $true )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(622,plain,
! [SV118: $i] :
( ( ( ( ( sK10_Y0 @ SV118 )
!= ( sK11_SY41 @ SV118 ) ) )
= $true )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[615]) ).
thf(623,plain,
! [SV118: $i] :
( ( ( ~ ( ~ ( rp @ SV118 @ ( sK10_Y0 @ SV118 ) )
| ~ ( rp @ SV118 @ ( sK11_SY41 @ SV118 ) ) ) )
= $true )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(624,plain,
( ( ~ ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(625,plain,
( ( rp @ sK5_X @ sK8_SY38 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(626,plain,
( ( ( sK7_SY36 != sK8_SY38 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(627,plain,
( ( ~ ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(628,plain,
! [SV125: $i,SV124: $i,SV123: $i,SV117: $i] :
( ( ( ~ ( rp @ SV117 @ SV123 )
| ~ ( rp @ SV117 @ SV124 )
| ~ ( rp @ SV117 @ SV125 ) )
= $true )
| ( ( ( SV124 = SV125 )
| ( SV123 = SV124 )
| ( SV123 = SV125 ) )
= $true )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(629,plain,
! [SV118: $i] :
( ( ( ( sK10_Y0 @ SV118 )
= ( sK11_SY41 @ SV118 ) )
= $false )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(630,plain,
! [SV118: $i] :
( ( ( ~ ( rp @ SV118 @ ( sK10_Y0 @ SV118 ) )
| ~ ( rp @ SV118 @ ( sK11_SY41 @ SV118 ) ) )
= $false )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(631,plain,
( ( ~ ( rp @ sK5_X @ sK6_SY33 )
| ~ ( rp @ sK5_X @ sK7_SY36 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(632,plain,
( ( sK7_SY36 = sK8_SY38 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(633,plain,
( ( ~ ( ( sK6_SY33 != sK7_SY36 ) )
| ~ ( ( sK6_SY33 != sK8_SY38 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(634,plain,
! [SV125: $i,SV124: $i,SV123: $i,SV117: $i] :
( ( ( ~ ( rp @ SV117 @ SV123 )
| ~ ( rp @ SV117 @ SV124 ) )
= $true )
| ( ( ~ ( rp @ SV117 @ SV125 ) )
= $true )
| ( ( ( SV124 = SV125 )
| ( SV123 = SV124 )
| ( SV123 = SV125 ) )
= $true )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(635,plain,
! [SV118: $i] :
( ( ( ~ ( rp @ SV118 @ ( sK10_Y0 @ SV118 ) ) )
= $false )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[630]) ).
thf(636,plain,
! [SV118: $i] :
( ( ( ~ ( rp @ SV118 @ ( sK11_SY41 @ SV118 ) ) )
= $false )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[630]) ).
thf(637,plain,
( ( ~ ( rp @ sK5_X @ sK6_SY33 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(638,plain,
( ( ~ ( rp @ sK5_X @ sK7_SY36 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[631]) ).
thf(639,plain,
( ( ~ ( ( sK6_SY33 != sK7_SY36 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(640,plain,
( ( ~ ( ( sK6_SY33 != sK8_SY38 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(641,plain,
! [SV125: $i,SV124: $i,SV123: $i,SV117: $i] :
( ( ( ~ ( rp @ SV117 @ SV123 ) )
= $true )
| ( ( ~ ( rp @ SV117 @ SV124 ) )
= $true )
| ( ( ~ ( rp @ SV117 @ SV125 ) )
= $true )
| ( ( ( SV124 = SV125 )
| ( SV123 = SV124 )
| ( SV123 = SV125 ) )
= $true )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(642,plain,
! [SV118: $i] :
( ( ( rp @ SV118 @ ( sK10_Y0 @ SV118 ) )
= $true )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(643,plain,
! [SV118: $i] :
( ( ( rp @ SV118 @ ( sK11_SY41 @ SV118 ) )
= $true )
| ( ( cc @ SV118 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(644,plain,
( ( rp @ sK5_X @ sK6_SY33 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(645,plain,
( ( rp @ sK5_X @ sK7_SY36 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(646,plain,
( ( ( sK6_SY33 != sK7_SY36 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(647,plain,
( ( ( sK6_SY33 != sK8_SY38 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(648,plain,
! [SV125: $i,SV124: $i,SV123: $i,SV117: $i] :
( ( ( rp @ SV117 @ SV123 )
= $false )
| ( ( ~ ( rp @ SV117 @ SV124 ) )
= $true )
| ( ( ~ ( rp @ SV117 @ SV125 ) )
= $true )
| ( ( ( SV124 = SV125 )
| ( SV123 = SV124 )
| ( SV123 = SV125 ) )
= $true )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(649,plain,
( ( sK6_SY33 = sK7_SY36 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(650,plain,
( ( sK6_SY33 = sK8_SY38 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(651,plain,
! [SV125: $i,SV123: $i,SV124: $i,SV117: $i] :
( ( ( rp @ SV117 @ SV124 )
= $false )
| ( ( rp @ SV117 @ SV123 )
= $false )
| ( ( ~ ( rp @ SV117 @ SV125 ) )
= $true )
| ( ( ( SV124 = SV125 )
| ( SV123 = SV124 )
| ( SV123 = SV125 ) )
= $true )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(652,plain,
! [SV124: $i,SV123: $i,SV125: $i,SV117: $i] :
( ( ( rp @ SV117 @ SV125 )
= $false )
| ( ( rp @ SV117 @ SV123 )
= $false )
| ( ( rp @ SV117 @ SV124 )
= $false )
| ( ( ( SV124 = SV125 )
| ( SV123 = SV124 )
| ( SV123 = SV125 ) )
= $true )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(653,plain,
! [SV117: $i,SV123: $i,SV125: $i,SV124: $i] :
( ( ( SV124 = SV125 )
= $true )
| ( ( ( SV123 = SV124 )
| ( SV123 = SV125 ) )
= $true )
| ( ( rp @ SV117 @ SV124 )
= $false )
| ( ( rp @ SV117 @ SV123 )
= $false )
| ( ( rp @ SV117 @ SV125 )
= $false )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(654,plain,
! [SV117: $i,SV125: $i,SV124: $i,SV123: $i] :
( ( ( SV123 = SV124 )
= $true )
| ( ( SV123 = SV125 )
= $true )
| ( ( SV124 = SV125 )
= $true )
| ( ( rp @ SV117 @ SV124 )
= $false )
| ( ( rp @ SV117 @ SV123 )
= $false )
| ( ( rp @ SV117 @ SV125 )
= $false )
| ( ( cc @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(655,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[565,654,650,649,645,644,643,642,632,629,625,611,608,607,601,600,597,596,595,592,590,576]) ).
thf(656,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(657,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(658,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(659,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(660,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(661,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(662,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(663,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(664,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(665,plain,
( ( ! [X: $i] :
( ~ ( cc @ X )
| ! [Y0: $i,Y1: $i,Y2: $i] :
( ~ ( rp @ X @ Y0 )
| ~ ( rp @ X @ Y1 )
| ~ ( rp @ X @ Y2 )
| ( Y1 = Y2 )
| ( Y0 = Y1 )
| ( Y0 = Y2 ) ) )
& ! [X: $i] :
( ~ ( cc @ X )
| ( ( ( sK10_Y0 @ X )
!= ( sK11_SY41 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY41 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(666,plain,
( ( ( cc @ sK9_X )
& ! [SY39: $i,SY40: $i] :
( ( SY39 = SY40 )
| ~ ( rp @ sK9_X @ SY39 )
| ~ ( rp @ sK9_X @ SY40 ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(667,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[663]) ).
thf(668,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[665]) ).
thf(669,plain,
( ( ~ ( ~ ( cc @ sK9_X )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK9_X @ SX0 )
| ~ ( rp @ sK9_X @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[666]) ).
thf(670,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[664]) ).
thf(671,plain,
! [SV126: $i] :
( ( ! [SY127: $i] :
( ( SV126 != SY127 )
| ~ ( cc @ SV126 )
| ( cc @ SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(672,plain,
! [SV127: $i] :
( ( ! [SY128: $i] :
( ( SV127 != SY128 )
| ~ ( cowlNothing @ SV127 )
| ( cowlNothing @ SY128 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(673,plain,
! [SV128: $i] :
( ( ! [SY129: $i] :
( ( SV128 != SY129 )
| ~ ( cowlThing @ SV128 )
| ( cowlThing @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(674,plain,
! [SV129: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ( SV129 != SY130 )
| ~ ( rp @ SV129 @ SY131 )
| ( rp @ SY130 @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(675,plain,
! [SV130: $i] :
( ( ! [SY132: $i,SY133: $i] :
( ( SV130 != SY132 )
| ~ ( rp @ SY133 @ SV130 )
| ( rp @ SY133 @ SY132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(676,plain,
! [SV131: $i] :
( ( ! [SY134: $i] :
( ( SV131 != SY134 )
| ~ ( xsd_integer @ SV131 )
| ( xsd_integer @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(677,plain,
! [SV132: $i] :
( ( ! [SY135: $i] :
( ( SV132 != SY135 )
| ~ ( xsd_string @ SV132 )
| ( xsd_string @ SY135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(678,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(679,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) )
| ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(680,plain,
( ( ~ ( cc @ sK9_X )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK9_X @ SX0 )
| ~ ( rp @ sK9_X @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(681,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(682,plain,
! [SV133: $i,SV126: $i] :
( ( ( SV126 != SV133 )
| ~ ( cc @ SV126 )
| ( cc @ SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(683,plain,
! [SV134: $i,SV127: $i] :
( ( ( SV127 != SV134 )
| ~ ( cowlNothing @ SV127 )
| ( cowlNothing @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(684,plain,
! [SV135: $i,SV128: $i] :
( ( ( SV128 != SV135 )
| ~ ( cowlThing @ SV128 )
| ( cowlThing @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(685,plain,
! [SV136: $i,SV129: $i] :
( ( ! [SY136: $i] :
( ( SV129 != SV136 )
| ~ ( rp @ SV129 @ SY136 )
| ( rp @ SV136 @ SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(686,plain,
! [SV137: $i,SV130: $i] :
( ( ! [SY137: $i] :
( ( SV130 != SV137 )
| ~ ( rp @ SY137 @ SV130 )
| ( rp @ SY137 @ SV137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(687,plain,
! [SV138: $i,SV131: $i] :
( ( ( SV131 != SV138 )
| ~ ( xsd_integer @ SV131 )
| ( xsd_integer @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(688,plain,
! [SV139: $i,SV132: $i] :
( ( ( SV132 != SV139 )
| ~ ( xsd_string @ SV132 )
| ( xsd_string @ SV139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(689,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[678]) ).
thf(690,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[678]) ).
thf(691,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(692,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[679]) ).
thf(693,plain,
( ( ~ ( cc @ sK9_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(694,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK9_X @ SX0 )
| ~ ( rp @ sK9_X @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[680]) ).
thf(695,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(696,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[681]) ).
thf(697,plain,
! [SV133: $i,SV126: $i] :
( ( ( ( SV126 != SV133 )
| ~ ( cc @ SV126 ) )
= $true )
| ( ( cc @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(698,plain,
! [SV134: $i,SV127: $i] :
( ( ( ( SV127 != SV134 )
| ~ ( cowlNothing @ SV127 ) )
= $true )
| ( ( cowlNothing @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(699,plain,
! [SV135: $i,SV128: $i] :
( ( ( ( SV128 != SV135 )
| ~ ( cowlThing @ SV128 ) )
= $true )
| ( ( cowlThing @ SV135 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(700,plain,
! [SV140: $i,SV136: $i,SV129: $i] :
( ( ( SV129 != SV136 )
| ~ ( rp @ SV129 @ SV140 )
| ( rp @ SV136 @ SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(701,plain,
! [SV141: $i,SV137: $i,SV130: $i] :
( ( ( SV130 != SV137 )
| ~ ( rp @ SV141 @ SV130 )
| ( rp @ SV141 @ SV137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(702,plain,
! [SV138: $i,SV131: $i] :
( ( ( ( SV131 != SV138 )
| ~ ( xsd_integer @ SV131 ) )
= $true )
| ( ( xsd_integer @ SV138 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(703,plain,
! [SV139: $i,SV132: $i] :
( ( ( ( SV132 != SV139 )
| ~ ( xsd_string @ SV132 ) )
= $true )
| ( ( xsd_string @ SV139 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(704,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(705,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(706,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ! [SX1: $i,SX2: $i,SX3: $i] :
( ~ ( rp @ SX0 @ SX1 )
| ~ ( rp @ SX0 @ SX2 )
| ~ ( rp @ SX0 @ SX3 )
| ( SX2 = SX3 )
| ( SX1 = SX2 )
| ( SX1 = SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(707,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY41 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY41 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(708,plain,
( ( cc @ sK9_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(709,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK9_X @ SX0 )
| ~ ( rp @ sK9_X @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(710,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(711,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(712,plain,
! [SV133: $i,SV126: $i] :
( ( ( ( SV126 != SV133 ) )
= $true )
| ( ( ~ ( cc @ SV126 ) )
= $true )
| ( ( cc @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(713,plain,
! [SV134: $i,SV127: $i] :
( ( ( ( SV127 != SV134 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV127 ) )
= $true )
| ( ( cowlNothing @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(714,plain,
! [SV135: $i,SV128: $i] :
( ( ( ( SV128 != SV135 ) )
= $true )
| ( ( ~ ( cowlThing @ SV128 ) )
= $true )
| ( ( cowlThing @ SV135 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(715,plain,
! [SV140: $i,SV136: $i,SV129: $i] :
( ( ( ( SV129 != SV136 )
| ~ ( rp @ SV129 @ SV140 ) )
= $true )
| ( ( rp @ SV136 @ SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(716,plain,
! [SV141: $i,SV137: $i,SV130: $i] :
( ( ( ( SV130 != SV137 )
| ~ ( rp @ SV141 @ SV130 ) )
= $true )
| ( ( rp @ SV141 @ SV137 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(717,plain,
! [SV138: $i,SV131: $i] :
( ( ( ( SV131 != SV138 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV131 ) )
= $true )
| ( ( xsd_integer @ SV138 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(718,plain,
! [SV139: $i,SV132: $i] :
( ( ( ( SV132 != SV139 ) )
= $true )
| ( ( ~ ( xsd_string @ SV132 ) )
= $true )
| ( ( xsd_string @ SV139 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(719,plain,
! [SV142: $i] :
( ( cowlThing @ SV142 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(720,plain,
! [SV143: $i] :
( ( ~ ( cowlNothing @ SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(721,plain,
! [SV144: $i] :
( ( ~ ( cc @ SV144 )
| ! [SY138: $i,SY139: $i,SY140: $i] :
( ~ ( rp @ SV144 @ SY138 )
| ~ ( rp @ SV144 @ SY139 )
| ~ ( rp @ SV144 @ SY140 )
| ( SY139 = SY140 )
| ( SY138 = SY139 )
| ( SY138 = SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(722,plain,
! [SV145: $i] :
( ( ~ ( cc @ SV145 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV145 )
!= ( sK11_SY41 @ SV145 ) ) )
| ~ ~ ( ~ ( rp @ SV145 @ ( sK10_Y0 @ SV145 ) )
| ~ ( rp @ SV145 @ ( sK11_SY41 @ SV145 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(723,plain,
! [SV146: $i] :
( ( ! [SY141: $i] :
( ( SV146 = SY141 )
| ~ ( rp @ sK9_X @ SV146 )
| ~ ( rp @ sK9_X @ SY141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(724,plain,
! [SV147: $i] :
( ( ~ ( xsd_string @ SV147 )
| ~ ( xsd_integer @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(725,plain,
! [SV148: $i] :
( ( ( xsd_integer @ SV148 )
| ( xsd_string @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(726,plain,
! [SV133: $i,SV126: $i] :
( ( ( SV126 = SV133 )
= $false )
| ( ( ~ ( cc @ SV126 ) )
= $true )
| ( ( cc @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(727,plain,
! [SV134: $i,SV127: $i] :
( ( ( SV127 = SV134 )
= $false )
| ( ( ~ ( cowlNothing @ SV127 ) )
= $true )
| ( ( cowlNothing @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(728,plain,
! [SV135: $i,SV128: $i] :
( ( ( SV128 = SV135 )
= $false )
| ( ( ~ ( cowlThing @ SV128 ) )
= $true )
| ( ( cowlThing @ SV135 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(729,plain,
! [SV140: $i,SV136: $i,SV129: $i] :
( ( ( ( SV129 != SV136 ) )
= $true )
| ( ( ~ ( rp @ SV129 @ SV140 ) )
= $true )
| ( ( rp @ SV136 @ SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(730,plain,
! [SV141: $i,SV137: $i,SV130: $i] :
( ( ( ( SV130 != SV137 ) )
= $true )
| ( ( ~ ( rp @ SV141 @ SV130 ) )
= $true )
| ( ( rp @ SV141 @ SV137 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(731,plain,
! [SV138: $i,SV131: $i] :
( ( ( SV131 = SV138 )
= $false )
| ( ( ~ ( xsd_integer @ SV131 ) )
= $true )
| ( ( xsd_integer @ SV138 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(732,plain,
! [SV139: $i,SV132: $i] :
( ( ( SV132 = SV139 )
= $false )
| ( ( ~ ( xsd_string @ SV132 ) )
= $true )
| ( ( xsd_string @ SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(733,plain,
! [SV143: $i] :
( ( cowlNothing @ SV143 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(734,plain,
! [SV144: $i] :
( ( ( ~ ( cc @ SV144 ) )
= $true )
| ( ( ! [SY138: $i,SY139: $i,SY140: $i] :
( ~ ( rp @ SV144 @ SY138 )
| ~ ( rp @ SV144 @ SY139 )
| ~ ( rp @ SV144 @ SY140 )
| ( SY139 = SY140 )
| ( SY138 = SY139 )
| ( SY138 = SY140 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(735,plain,
! [SV145: $i] :
( ( ( ~ ( cc @ SV145 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV145 )
!= ( sK11_SY41 @ SV145 ) ) )
| ~ ~ ( ~ ( rp @ SV145 @ ( sK10_Y0 @ SV145 ) )
| ~ ( rp @ SV145 @ ( sK11_SY41 @ SV145 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(736,plain,
! [SV149: $i,SV146: $i] :
( ( ( SV146 = SV149 )
| ~ ( rp @ sK9_X @ SV146 )
| ~ ( rp @ sK9_X @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(737,plain,
! [SV147: $i] :
( ( ( ~ ( xsd_string @ SV147 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV147 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(738,plain,
! [SV148: $i] :
( ( ( xsd_integer @ SV148 )
= $true )
| ( ( xsd_string @ SV148 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(739,plain,
! [SV133: $i,SV126: $i] :
( ( ( cc @ SV126 )
= $false )
| ( ( SV126 = SV133 )
= $false )
| ( ( cc @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(740,plain,
! [SV134: $i,SV127: $i] :
( ( ( cowlNothing @ SV127 )
= $false )
| ( ( SV127 = SV134 )
= $false )
| ( ( cowlNothing @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(741,plain,
! [SV135: $i,SV128: $i] :
( ( ( cowlThing @ SV128 )
= $false )
| ( ( SV128 = SV135 )
= $false )
| ( ( cowlThing @ SV135 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(742,plain,
! [SV140: $i,SV136: $i,SV129: $i] :
( ( ( SV129 = SV136 )
= $false )
| ( ( ~ ( rp @ SV129 @ SV140 ) )
= $true )
| ( ( rp @ SV136 @ SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(743,plain,
! [SV141: $i,SV137: $i,SV130: $i] :
( ( ( SV130 = SV137 )
= $false )
| ( ( ~ ( rp @ SV141 @ SV130 ) )
= $true )
| ( ( rp @ SV141 @ SV137 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(744,plain,
! [SV138: $i,SV131: $i] :
( ( ( xsd_integer @ SV131 )
= $false )
| ( ( SV131 = SV138 )
= $false )
| ( ( xsd_integer @ SV138 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(745,plain,
! [SV139: $i,SV132: $i] :
( ( ( xsd_string @ SV132 )
= $false )
| ( ( SV132 = SV139 )
= $false )
| ( ( xsd_string @ SV139 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(746,plain,
! [SV144: $i] :
( ( ( cc @ SV144 )
= $false )
| ( ( ! [SY138: $i,SY139: $i,SY140: $i] :
( ~ ( rp @ SV144 @ SY138 )
| ~ ( rp @ SV144 @ SY139 )
| ~ ( rp @ SV144 @ SY140 )
| ( SY139 = SY140 )
| ( SY138 = SY139 )
| ( SY138 = SY140 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(747,plain,
! [SV145: $i] :
( ( ( cc @ SV145 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV145 )
!= ( sK11_SY41 @ SV145 ) ) )
| ~ ~ ( ~ ( rp @ SV145 @ ( sK10_Y0 @ SV145 ) )
| ~ ( rp @ SV145 @ ( sK11_SY41 @ SV145 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(748,plain,
! [SV149: $i,SV146: $i] :
( ( ( SV146 = SV149 )
= $true )
| ( ( ~ ( rp @ sK9_X @ SV146 )
| ~ ( rp @ sK9_X @ SV149 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(749,plain,
! [SV147: $i] :
( ( ( xsd_string @ SV147 )
= $false )
| ( ( ~ ( xsd_integer @ SV147 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(750,plain,
! [SV136: $i,SV140: $i,SV129: $i] :
( ( ( rp @ SV129 @ SV140 )
= $false )
| ( ( SV129 = SV136 )
= $false )
| ( ( rp @ SV136 @ SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(751,plain,
! [SV137: $i,SV130: $i,SV141: $i] :
( ( ( rp @ SV141 @ SV130 )
= $false )
| ( ( SV130 = SV137 )
= $false )
| ( ( rp @ SV141 @ SV137 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(752,plain,
! [SV150: $i,SV144: $i] :
( ( ( ! [SY142: $i,SY143: $i] :
( ~ ( rp @ SV144 @ SV150 )
| ~ ( rp @ SV144 @ SY142 )
| ~ ( rp @ SV144 @ SY143 )
| ( SY142 = SY143 )
| ( SV150 = SY142 )
| ( SV150 = SY143 ) ) )
= $true )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(753,plain,
! [SV145: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV145 )
!= ( sK11_SY41 @ SV145 ) ) )
| ~ ~ ( ~ ( rp @ SV145 @ ( sK10_Y0 @ SV145 ) )
| ~ ( rp @ SV145 @ ( sK11_SY41 @ SV145 ) ) ) )
= $false )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(754,plain,
! [SV149: $i,SV146: $i] :
( ( ( ~ ( rp @ sK9_X @ SV146 ) )
= $true )
| ( ( ~ ( rp @ sK9_X @ SV149 ) )
= $true )
| ( ( SV146 = SV149 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(755,plain,
! [SV147: $i] :
( ( ( xsd_integer @ SV147 )
= $false )
| ( ( xsd_string @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(756,plain,
! [SV151: $i,SV150: $i,SV144: $i] :
( ( ( ! [SY144: $i] :
( ~ ( rp @ SV144 @ SV150 )
| ~ ( rp @ SV144 @ SV151 )
| ~ ( rp @ SV144 @ SY144 )
| ( SV151 = SY144 )
| ( SV150 = SV151 )
| ( SV150 = SY144 ) ) )
= $true )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(757,plain,
! [SV145: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV145 )
!= ( sK11_SY41 @ SV145 ) ) ) )
= $false )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(758,plain,
! [SV145: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV145 @ ( sK10_Y0 @ SV145 ) )
| ~ ( rp @ SV145 @ ( sK11_SY41 @ SV145 ) ) ) )
= $false )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(759,plain,
! [SV149: $i,SV146: $i] :
( ( ( rp @ sK9_X @ SV146 )
= $false )
| ( ( ~ ( rp @ sK9_X @ SV149 ) )
= $true )
| ( ( SV146 = SV149 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(760,plain,
! [SV152: $i,SV151: $i,SV150: $i,SV144: $i] :
( ( ( ~ ( rp @ SV144 @ SV150 )
| ~ ( rp @ SV144 @ SV151 )
| ~ ( rp @ SV144 @ SV152 )
| ( SV151 = SV152 )
| ( SV150 = SV151 )
| ( SV150 = SV152 ) )
= $true )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(761,plain,
! [SV145: $i] :
( ( ( ( ( sK10_Y0 @ SV145 )
!= ( sK11_SY41 @ SV145 ) ) )
= $true )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(762,plain,
! [SV145: $i] :
( ( ( ~ ( ~ ( rp @ SV145 @ ( sK10_Y0 @ SV145 ) )
| ~ ( rp @ SV145 @ ( sK11_SY41 @ SV145 ) ) ) )
= $true )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(763,plain,
! [SV146: $i,SV149: $i] :
( ( ( rp @ sK9_X @ SV149 )
= $false )
| ( ( rp @ sK9_X @ SV146 )
= $false )
| ( ( SV146 = SV149 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(764,plain,
! [SV152: $i,SV151: $i,SV150: $i,SV144: $i] :
( ( ( ~ ( rp @ SV144 @ SV150 )
| ~ ( rp @ SV144 @ SV151 )
| ~ ( rp @ SV144 @ SV152 ) )
= $true )
| ( ( ( SV151 = SV152 )
| ( SV150 = SV151 )
| ( SV150 = SV152 ) )
= $true )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(765,plain,
! [SV145: $i] :
( ( ( ( sK10_Y0 @ SV145 )
= ( sK11_SY41 @ SV145 ) )
= $false )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(766,plain,
! [SV145: $i] :
( ( ( ~ ( rp @ SV145 @ ( sK10_Y0 @ SV145 ) )
| ~ ( rp @ SV145 @ ( sK11_SY41 @ SV145 ) ) )
= $false )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(767,plain,
! [SV152: $i,SV151: $i,SV150: $i,SV144: $i] :
( ( ( ~ ( rp @ SV144 @ SV150 )
| ~ ( rp @ SV144 @ SV151 ) )
= $true )
| ( ( ~ ( rp @ SV144 @ SV152 ) )
= $true )
| ( ( ( SV151 = SV152 )
| ( SV150 = SV151 )
| ( SV150 = SV152 ) )
= $true )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(768,plain,
! [SV145: $i] :
( ( ( ~ ( rp @ SV145 @ ( sK10_Y0 @ SV145 ) ) )
= $false )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(769,plain,
! [SV145: $i] :
( ( ( ~ ( rp @ SV145 @ ( sK11_SY41 @ SV145 ) ) )
= $false )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(770,plain,
! [SV152: $i,SV151: $i,SV150: $i,SV144: $i] :
( ( ( ~ ( rp @ SV144 @ SV150 ) )
= $true )
| ( ( ~ ( rp @ SV144 @ SV151 ) )
= $true )
| ( ( ~ ( rp @ SV144 @ SV152 ) )
= $true )
| ( ( ( SV151 = SV152 )
| ( SV150 = SV151 )
| ( SV150 = SV152 ) )
= $true )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(771,plain,
! [SV145: $i] :
( ( ( rp @ SV145 @ ( sK10_Y0 @ SV145 ) )
= $true )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(772,plain,
! [SV145: $i] :
( ( ( rp @ SV145 @ ( sK11_SY41 @ SV145 ) )
= $true )
| ( ( cc @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[769]) ).
thf(773,plain,
! [SV152: $i,SV151: $i,SV150: $i,SV144: $i] :
( ( ( rp @ SV144 @ SV150 )
= $false )
| ( ( ~ ( rp @ SV144 @ SV151 ) )
= $true )
| ( ( ~ ( rp @ SV144 @ SV152 ) )
= $true )
| ( ( ( SV151 = SV152 )
| ( SV150 = SV151 )
| ( SV150 = SV152 ) )
= $true )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(774,plain,
! [SV152: $i,SV150: $i,SV151: $i,SV144: $i] :
( ( ( rp @ SV144 @ SV151 )
= $false )
| ( ( rp @ SV144 @ SV150 )
= $false )
| ( ( ~ ( rp @ SV144 @ SV152 ) )
= $true )
| ( ( ( SV151 = SV152 )
| ( SV150 = SV151 )
| ( SV150 = SV152 ) )
= $true )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(775,plain,
! [SV151: $i,SV150: $i,SV152: $i,SV144: $i] :
( ( ( rp @ SV144 @ SV152 )
= $false )
| ( ( rp @ SV144 @ SV150 )
= $false )
| ( ( rp @ SV144 @ SV151 )
= $false )
| ( ( ( SV151 = SV152 )
| ( SV150 = SV151 )
| ( SV150 = SV152 ) )
= $true )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(776,plain,
! [SV144: $i,SV150: $i,SV152: $i,SV151: $i] :
( ( ( SV151 = SV152 )
= $true )
| ( ( ( SV150 = SV151 )
| ( SV150 = SV152 ) )
= $true )
| ( ( rp @ SV144 @ SV151 )
= $false )
| ( ( rp @ SV144 @ SV150 )
= $false )
| ( ( rp @ SV144 @ SV152 )
= $false )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(777,plain,
! [SV144: $i,SV152: $i,SV151: $i,SV150: $i] :
( ( ( SV150 = SV151 )
= $true )
| ( ( SV150 = SV152 )
= $true )
| ( ( SV151 = SV152 )
= $true )
| ( ( rp @ SV144 @ SV151 )
= $false )
| ( ( rp @ SV144 @ SV150 )
= $false )
| ( ( rp @ SV144 @ SV152 )
= $false )
| ( ( cc @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(778,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[708,777,772,771,765,763,755,751,750,745,744,741,740,739,738,733,719]) ).
thf(779,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[778,163,274,391,510,655]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS144+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 7 11:06:01 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36
% 0.14/0.36 No.of.Axioms: 10
% 0.14/0.36
% 0.14/0.36 Length.of.Defs: 0
% 0.14/0.36
% 0.14/0.36 Contains.Choice.Funs: false
% 0.14/0.37 (rf:0,axioms:10,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:12,loop_count:0,foatp_calls:0,translation:fof_full)............................
% 0.46/0.69
% 0.46/0.69 ********************************
% 0.46/0.69 * All subproblems solved! *
% 0.46/0.69 ********************************
% 0.46/0.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:778,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.61/0.81
% 0.61/0.81 %**** Beginning of derivation protocol ****
% 0.61/0.81 % SZS output start CNFRefutation
% See solution above
% 0.61/0.82
% 0.61/0.82 %**** End of derivation protocol ****
% 0.61/0.82 %**** no. of clauses in derivation: 779 ****
% 0.61/0.82 %**** clause counter: 778 ****
% 0.61/0.82
% 0.61/0.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:10,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:778,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------