%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS145+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:26:28 AM UTC 2026
% Result : Theorem 1.81s 0.47s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of formulae : 667 ( 329 unt; 0 typ; 0 def)
% Number of atoms : 4823 (1943 equ; 0 cnn)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 5988 (1665 ~;1581 |; 108 &;2595 @)
% ( 5 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 1359 ( 0 ^;1345 !; 14 ?;1359 :)
% 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_SY40,type,
sK11_SY40: $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_SY32,type,
sK6_SY32: $i ).
thf(tp_sK7_SY37,type,
sK7_SY37: $i ).
thf(tp_sK8_SY39,type,
sK8_SY39: $i ).
thf(tp_sK9_REN,type,
sK9_REN: $o ).
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,Y2: $i] :
( ( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( rp @ X @ Y2 ) )
=> ( ( Y0 = Y1 )
| ( Y0 = Y2 )
| ( Y1 = Y2 ) ) )
& ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) ) ) ),
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] :
( ( 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',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] :
( ( 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 ) ) ) ) ) )
= $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] :
( ( 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 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,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 ) ) )
& ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) ) ) ) )
= $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] :
( ( 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 ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[13]) ).
thf(29,plain,
( ( ~ ! [X: $i] : ( cowlThing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(32,plain,
( ( ~ ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[27]) ).
thf(33,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(polarity_switch,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(35,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(36,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(37,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(38,plain,
( ( ( cc @ sK5_X )
& ( sK9_REN
| ! [SY35: $i,SY36: $i] :
( ( SY35 = SY36 )
| ~ ( rp @ sK5_X @ SY35 )
| ~ ( rp @ sK5_X @ SY36 ) ) )
& ( sK9_REN
=> ( ( rp @ sK5_X @ sK6_SY32 )
& ( rp @ sK5_X @ sK7_SY37 )
& ( rp @ sK5_X @ sK8_SY39 )
& ( sK7_SY37 != sK8_SY39 )
& ( sK6_SY32 != sK7_SY37 )
& ( sK6_SY32 != sK8_SY39 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(39,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_SY40 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY40 @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(40,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(41,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[16]) ).
thf(42,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(43,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(44,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(45,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[20]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(47,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(48,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(49,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(50,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(52,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(53,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(54,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(56,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(57,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(58,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_SY40 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY40 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(59,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(60,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(61,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_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(62,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(63,plain,
! [SV1: $i] :
( ( ! [SY41: $i] :
( ( SV1 != SY41 )
| ~ ( cc @ SV1 )
| ( cc @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(64,plain,
! [SV2: $i] :
( ( ! [SY42: $i] :
( ( SV2 != SY42 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(65,plain,
! [SV3: $i] :
( ( ! [SY43: $i] :
( ( SV3 != SY43 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(66,plain,
! [SV4: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ( SV4 != SY44 )
| ~ ( rp @ SV4 @ SY45 )
| ( rp @ SY44 @ SY45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(67,plain,
! [SV5: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ( SV5 != SY46 )
| ~ ( rp @ SY47 @ SV5 )
| ( rp @ SY47 @ SY46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(68,plain,
! [SV6: $i] :
( ( ! [SY48: $i] :
( ( SV6 != SY48 )
| ~ ( xsd_integer @ SV6 )
| ( xsd_integer @ SY48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(69,plain,
! [SV7: $i] :
( ( ! [SY49: $i] :
( ( SV7 != SY49 )
| ~ ( xsd_string @ SV7 )
| ( xsd_string @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(70,plain,
( ( cowlThing @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(71,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(72,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_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(73,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(74,plain,
! [SV8: $i,SV1: $i] :
( ( ( SV1 != SV8 )
| ~ ( cc @ SV1 )
| ( cc @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(75,plain,
! [SV9: $i,SV2: $i] :
( ( ( SV2 != SV9 )
| ~ ( cowlNothing @ SV2 )
| ( cowlNothing @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(76,plain,
! [SV10: $i,SV3: $i] :
( ( ( SV3 != SV10 )
| ~ ( cowlThing @ SV3 )
| ( cowlThing @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(77,plain,
! [SV11: $i,SV4: $i] :
( ( ! [SY50: $i] :
( ( SV4 != SV11 )
| ~ ( rp @ SV4 @ SY50 )
| ( rp @ SV11 @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(78,plain,
! [SV12: $i,SV5: $i] :
( ( ! [SY51: $i] :
( ( SV5 != SV12 )
| ~ ( rp @ SY51 @ SV5 )
| ( rp @ SY51 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(79,plain,
! [SV13: $i,SV6: $i] :
( ( ( SV6 != SV13 )
| ~ ( xsd_integer @ SV6 )
| ( xsd_integer @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(80,plain,
! [SV14: $i,SV7: $i] :
( ( ( SV7 != SV14 )
| ~ ( xsd_string @ SV7 )
| ( xsd_string @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(81,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(82,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(83,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)],[72]) ).
thf(84,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(85,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(86,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(87,plain,
! [SV8: $i,SV1: $i] :
( ( ( ( SV1 != SV8 )
| ~ ( cc @ SV1 ) )
= $true )
| ( ( cc @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[74]) ).
thf(88,plain,
! [SV9: $i,SV2: $i] :
( ( ( ( SV2 != SV9 )
| ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(89,plain,
! [SV10: $i,SV3: $i] :
( ( ( ( SV3 != SV10 )
| ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(90,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ( SV4 != SV11 )
| ~ ( rp @ SV4 @ SV15 )
| ( rp @ SV11 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(91,plain,
! [SV16: $i,SV12: $i,SV5: $i] :
( ( ( SV5 != SV12 )
| ~ ( rp @ SV16 @ SV5 )
| ( rp @ SV16 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(92,plain,
! [SV13: $i,SV6: $i] :
( ( ( ( SV6 != SV13 )
| ~ ( xsd_integer @ SV6 ) )
= $true )
| ( ( xsd_integer @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[79]) ).
thf(93,plain,
! [SV14: $i,SV7: $i] :
( ( ( ( SV7 != SV14 )
| ~ ( xsd_string @ SV7 ) )
= $true )
| ( ( xsd_string @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(94,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(95,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(96,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)],[83]) ).
thf(97,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(98,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(99,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(100,plain,
! [SV8: $i,SV1: $i] :
( ( ( SV1 != SV8 )
= $true )
| ( ( ~ ( cc @ SV1 ) )
= $true )
| ( ( cc @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(101,plain,
! [SV9: $i,SV2: $i] :
( ( ( SV2 != SV9 )
= $true )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(102,plain,
! [SV10: $i,SV3: $i] :
( ( ( SV3 != SV10 )
= $true )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(103,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ( ( SV4 != SV11 )
| ~ ( rp @ SV4 @ SV15 ) )
= $true )
| ( ( rp @ SV11 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(104,plain,
! [SV16: $i,SV12: $i,SV5: $i] :
( ( ( ( SV5 != SV12 )
| ~ ( rp @ SV16 @ SV5 ) )
= $true )
| ( ( rp @ SV16 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[91]) ).
thf(105,plain,
! [SV13: $i,SV6: $i] :
( ( ( SV6 != SV13 )
= $true )
| ( ( ~ ( xsd_integer @ SV6 ) )
= $true )
| ( ( xsd_integer @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(106,plain,
! [SV14: $i,SV7: $i] :
( ( ( SV7 != SV14 )
= $true )
| ( ( ~ ( xsd_string @ SV7 ) )
= $true )
| ( ( xsd_string @ SV14 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(107,plain,
! [SV17: $i] :
( ( ~ ( xsd_string @ SV17 )
| ~ ( xsd_integer @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(108,plain,
! [SV18: $i] :
( ( ( xsd_integer @ SV18 )
| ( xsd_string @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(109,plain,
! [SV19: $i] :
( ( ~ ( cc @ SV19 )
| ! [SY52: $i,SY53: $i,SY54: $i] :
( ~ ( rp @ SV19 @ SY52 )
| ~ ( rp @ SV19 @ SY53 )
| ~ ( rp @ SV19 @ SY54 )
| ( SY53 = SY54 )
| ( SY52 = SY53 )
| ( SY52 = SY54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(110,plain,
! [SV20: $i] :
( ( ~ ( cc @ SV20 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV20 )
!= ( sK11_SY40 @ SV20 ) ) )
| ~ ~ ( ~ ( rp @ SV20 @ ( sK10_Y0 @ SV20 ) )
| ~ ( rp @ SV20 @ ( sK11_SY40 @ SV20 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(111,plain,
! [SV21: $i] :
( ( cowlThing @ SV21 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV22: $i] :
( ( ~ ( cowlNothing @ SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(113,plain,
! [SV8: $i,SV1: $i] :
( ( ( SV1 = SV8 )
= $false )
| ( ( ~ ( cc @ SV1 ) )
= $true )
| ( ( cc @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(114,plain,
! [SV9: $i,SV2: $i] :
( ( ( SV2 = SV9 )
= $false )
| ( ( ~ ( cowlNothing @ SV2 ) )
= $true )
| ( ( cowlNothing @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(115,plain,
! [SV10: $i,SV3: $i] :
( ( ( SV3 = SV10 )
= $false )
| ( ( ~ ( cowlThing @ SV3 ) )
= $true )
| ( ( cowlThing @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(116,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ( SV4 != SV11 )
= $true )
| ( ( ~ ( rp @ SV4 @ SV15 ) )
= $true )
| ( ( rp @ SV11 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(117,plain,
! [SV16: $i,SV12: $i,SV5: $i] :
( ( ( SV5 != SV12 )
= $true )
| ( ( ~ ( rp @ SV16 @ SV5 ) )
= $true )
| ( ( rp @ SV16 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV13: $i,SV6: $i] :
( ( ( SV6 = SV13 )
= $false )
| ( ( ~ ( xsd_integer @ SV6 ) )
= $true )
| ( ( xsd_integer @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(119,plain,
! [SV14: $i,SV7: $i] :
( ( ( SV7 = SV14 )
= $false )
| ( ( ~ ( xsd_string @ SV7 ) )
= $true )
| ( ( xsd_string @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(120,plain,
! [SV17: $i] :
( ( ( ~ ( xsd_string @ SV17 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(121,plain,
! [SV18: $i] :
( ( ( xsd_integer @ SV18 )
= $true )
| ( ( xsd_string @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(122,plain,
! [SV19: $i] :
( ( ( ~ ( cc @ SV19 ) )
= $true )
| ( ( ! [SY52: $i,SY53: $i,SY54: $i] :
( ~ ( rp @ SV19 @ SY52 )
| ~ ( rp @ SV19 @ SY53 )
| ~ ( rp @ SV19 @ SY54 )
| ( SY53 = SY54 )
| ( SY52 = SY53 )
| ( SY52 = SY54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(123,plain,
! [SV20: $i] :
( ( ( ~ ( cc @ SV20 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV20 )
!= ( sK11_SY40 @ SV20 ) ) )
| ~ ~ ( ~ ( rp @ SV20 @ ( sK10_Y0 @ SV20 ) )
| ~ ( rp @ SV20 @ ( sK11_SY40 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(124,plain,
! [SV22: $i] :
( ( cowlNothing @ SV22 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(125,plain,
! [SV8: $i,SV1: $i] :
( ( ( cc @ SV1 )
= $false )
| ( ( SV1 = SV8 )
= $false )
| ( ( cc @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(126,plain,
! [SV9: $i,SV2: $i] :
( ( ( cowlNothing @ SV2 )
= $false )
| ( ( SV2 = SV9 )
= $false )
| ( ( cowlNothing @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(127,plain,
! [SV10: $i,SV3: $i] :
( ( ( cowlThing @ SV3 )
= $false )
| ( ( SV3 = SV10 )
= $false )
| ( ( cowlThing @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(128,plain,
! [SV15: $i,SV11: $i,SV4: $i] :
( ( ( SV4 = SV11 )
= $false )
| ( ( ~ ( rp @ SV4 @ SV15 ) )
= $true )
| ( ( rp @ SV11 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(129,plain,
! [SV16: $i,SV12: $i,SV5: $i] :
( ( ( SV5 = SV12 )
= $false )
| ( ( ~ ( rp @ SV16 @ SV5 ) )
= $true )
| ( ( rp @ SV16 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(130,plain,
! [SV13: $i,SV6: $i] :
( ( ( xsd_integer @ SV6 )
= $false )
| ( ( SV6 = SV13 )
= $false )
| ( ( xsd_integer @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(131,plain,
! [SV14: $i,SV7: $i] :
( ( ( xsd_string @ SV7 )
= $false )
| ( ( SV7 = SV14 )
= $false )
| ( ( xsd_string @ SV14 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(132,plain,
! [SV17: $i] :
( ( ( xsd_string @ SV17 )
= $false )
| ( ( ~ ( xsd_integer @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(133,plain,
! [SV19: $i] :
( ( ( cc @ SV19 )
= $false )
| ( ( ! [SY52: $i,SY53: $i,SY54: $i] :
( ~ ( rp @ SV19 @ SY52 )
| ~ ( rp @ SV19 @ SY53 )
| ~ ( rp @ SV19 @ SY54 )
| ( SY53 = SY54 )
| ( SY52 = SY53 )
| ( SY52 = SY54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(134,plain,
! [SV20: $i] :
( ( ( cc @ SV20 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV20 )
!= ( sK11_SY40 @ SV20 ) ) )
| ~ ~ ( ~ ( rp @ SV20 @ ( sK10_Y0 @ SV20 ) )
| ~ ( rp @ SV20 @ ( sK11_SY40 @ SV20 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(135,plain,
! [SV11: $i,SV15: $i,SV4: $i] :
( ( ( rp @ SV4 @ SV15 )
= $false )
| ( ( SV4 = SV11 )
= $false )
| ( ( rp @ SV11 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(136,plain,
! [SV12: $i,SV5: $i,SV16: $i] :
( ( ( rp @ SV16 @ SV5 )
= $false )
| ( ( SV5 = SV12 )
= $false )
| ( ( rp @ SV16 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(137,plain,
! [SV17: $i] :
( ( ( xsd_integer @ SV17 )
= $false )
| ( ( xsd_string @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(138,plain,
! [SV23: $i,SV19: $i] :
( ( ( ! [SY55: $i,SY56: $i] :
( ~ ( rp @ SV19 @ SV23 )
| ~ ( rp @ SV19 @ SY55 )
| ~ ( rp @ SV19 @ SY56 )
| ( SY55 = SY56 )
| ( SV23 = SY55 )
| ( SV23 = SY56 ) ) )
= $true )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(139,plain,
! [SV20: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV20 )
!= ( sK11_SY40 @ SV20 ) ) )
| ~ ~ ( ~ ( rp @ SV20 @ ( sK10_Y0 @ SV20 ) )
| ~ ( rp @ SV20 @ ( sK11_SY40 @ SV20 ) ) ) )
= $false )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(140,plain,
! [SV24: $i,SV23: $i,SV19: $i] :
( ( ( ! [SY57: $i] :
( ~ ( rp @ SV19 @ SV23 )
| ~ ( rp @ SV19 @ SV24 )
| ~ ( rp @ SV19 @ SY57 )
| ( SV24 = SY57 )
| ( SV23 = SV24 )
| ( SV23 = SY57 ) ) )
= $true )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(141,plain,
! [SV20: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV20 )
!= ( sK11_SY40 @ SV20 ) ) ) )
= $false )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(142,plain,
! [SV20: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV20 @ ( sK10_Y0 @ SV20 ) )
| ~ ( rp @ SV20 @ ( sK11_SY40 @ SV20 ) ) ) )
= $false )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[139]) ).
thf(143,plain,
! [SV25: $i,SV24: $i,SV23: $i,SV19: $i] :
( ( ( ~ ( rp @ SV19 @ SV23 )
| ~ ( rp @ SV19 @ SV24 )
| ~ ( rp @ SV19 @ SV25 )
| ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(144,plain,
! [SV20: $i] :
( ( ( ( sK10_Y0 @ SV20 )
!= ( sK11_SY40 @ SV20 ) )
= $true )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[141]) ).
thf(145,plain,
! [SV20: $i] :
( ( ( ~ ( ~ ( rp @ SV20 @ ( sK10_Y0 @ SV20 ) )
| ~ ( rp @ SV20 @ ( sK11_SY40 @ SV20 ) ) ) )
= $true )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[142]) ).
thf(146,plain,
! [SV25: $i,SV24: $i,SV23: $i,SV19: $i] :
( ( ( ~ ( rp @ SV19 @ SV23 )
| ~ ( rp @ SV19 @ SV24 )
| ~ ( rp @ SV19 @ SV25 ) )
= $true )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(147,plain,
! [SV20: $i] :
( ( ( ( sK10_Y0 @ SV20 )
= ( sK11_SY40 @ SV20 ) )
= $false )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(148,plain,
! [SV20: $i] :
( ( ( ~ ( rp @ SV20 @ ( sK10_Y0 @ SV20 ) )
| ~ ( rp @ SV20 @ ( sK11_SY40 @ SV20 ) ) )
= $false )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(149,plain,
! [SV25: $i,SV24: $i,SV23: $i,SV19: $i] :
( ( ( ~ ( rp @ SV19 @ SV23 )
| ~ ( rp @ SV19 @ SV24 ) )
= $true )
| ( ( ~ ( rp @ SV19 @ SV25 ) )
= $true )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(150,plain,
! [SV20: $i] :
( ( ( ~ ( rp @ SV20 @ ( sK10_Y0 @ SV20 ) ) )
= $false )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(151,plain,
! [SV20: $i] :
( ( ( ~ ( rp @ SV20 @ ( sK11_SY40 @ SV20 ) ) )
= $false )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[148]) ).
thf(152,plain,
! [SV25: $i,SV24: $i,SV23: $i,SV19: $i] :
( ( ( ~ ( rp @ SV19 @ SV23 ) )
= $true )
| ( ( ~ ( rp @ SV19 @ SV24 ) )
= $true )
| ( ( ~ ( rp @ SV19 @ SV25 ) )
= $true )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(153,plain,
! [SV20: $i] :
( ( ( rp @ SV20 @ ( sK10_Y0 @ SV20 ) )
= $true )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(154,plain,
! [SV20: $i] :
( ( ( rp @ SV20 @ ( sK11_SY40 @ SV20 ) )
= $true )
| ( ( cc @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(155,plain,
! [SV25: $i,SV24: $i,SV23: $i,SV19: $i] :
( ( ( rp @ SV19 @ SV23 )
= $false )
| ( ( ~ ( rp @ SV19 @ SV24 ) )
= $true )
| ( ( ~ ( rp @ SV19 @ SV25 ) )
= $true )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(156,plain,
! [SV25: $i,SV23: $i,SV24: $i,SV19: $i] :
( ( ( rp @ SV19 @ SV24 )
= $false )
| ( ( rp @ SV19 @ SV23 )
= $false )
| ( ( ~ ( rp @ SV19 @ SV25 ) )
= $true )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(157,plain,
! [SV24: $i,SV23: $i,SV25: $i,SV19: $i] :
( ( ( rp @ SV19 @ SV25 )
= $false )
| ( ( rp @ SV19 @ SV23 )
= $false )
| ( ( rp @ SV19 @ SV24 )
= $false )
| ( ( ( SV24 = SV25 )
| ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(158,plain,
! [SV19: $i,SV23: $i,SV25: $i,SV24: $i] :
( ( ( SV24 = SV25 )
= $true )
| ( ( ( SV23 = SV24 )
| ( SV23 = SV25 ) )
= $true )
| ( ( rp @ SV19 @ SV24 )
= $false )
| ( ( rp @ SV19 @ SV23 )
= $false )
| ( ( rp @ SV19 @ SV25 )
= $false )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(159,plain,
! [SV19: $i,SV25: $i,SV24: $i,SV23: $i] :
( ( ( SV23 = SV24 )
= $true )
| ( ( SV23 = SV25 )
= $true )
| ( ( SV24 = SV25 )
= $true )
| ( ( rp @ SV19 @ SV24 )
= $false )
| ( ( rp @ SV19 @ SV23 )
= $false )
| ( ( rp @ SV19 @ SV25 )
= $false )
| ( ( cc @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(160,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[70,159,154,153,147,137,136,135,131,130,127,126,125,124,121,111]) ).
thf(161,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(162,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(163,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(164,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(165,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(166,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(167,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(168,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(169,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(170,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_SY40 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY40 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(171,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(172,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_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(173,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(174,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(175,plain,
! [SV26: $i] :
( ( ! [SY58: $i] :
( ( SV26 != SY58 )
| ~ ( cc @ SV26 )
| ( cc @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(176,plain,
! [SV27: $i] :
( ( ! [SY59: $i] :
( ( SV27 != SY59 )
| ~ ( cowlNothing @ SV27 )
| ( cowlNothing @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(177,plain,
! [SV28: $i] :
( ( ! [SY60: $i] :
( ( SV28 != SY60 )
| ~ ( cowlThing @ SV28 )
| ( cowlThing @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(178,plain,
! [SV29: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ( SV29 != SY61 )
| ~ ( rp @ SV29 @ SY62 )
| ( rp @ SY61 @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(179,plain,
! [SV30: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ( SV30 != SY63 )
| ~ ( rp @ SY64 @ SV30 )
| ( rp @ SY64 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(180,plain,
! [SV31: $i] :
( ( ! [SY65: $i] :
( ( SV31 != SY65 )
| ~ ( xsd_integer @ SV31 )
| ( xsd_integer @ SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(181,plain,
! [SV32: $i] :
( ( ! [SY66: $i] :
( ( SV32 != SY66 )
| ~ ( xsd_string @ SV32 )
| ( xsd_string @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(182,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_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(183,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(184,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(185,plain,
! [SV33: $i,SV26: $i] :
( ( ( SV26 != SV33 )
| ~ ( cc @ SV26 )
| ( cc @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(186,plain,
! [SV34: $i,SV27: $i] :
( ( ( SV27 != SV34 )
| ~ ( cowlNothing @ SV27 )
| ( cowlNothing @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(187,plain,
! [SV35: $i,SV28: $i] :
( ( ( SV28 != SV35 )
| ~ ( cowlThing @ SV28 )
| ( cowlThing @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(188,plain,
! [SV36: $i,SV29: $i] :
( ( ! [SY67: $i] :
( ( SV29 != SV36 )
| ~ ( rp @ SV29 @ SY67 )
| ( rp @ SV36 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(189,plain,
! [SV37: $i,SV30: $i] :
( ( ! [SY68: $i] :
( ( SV30 != SV37 )
| ~ ( rp @ SY68 @ SV30 )
| ( rp @ SY68 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(190,plain,
! [SV38: $i,SV31: $i] :
( ( ( SV31 != SV38 )
| ~ ( xsd_integer @ SV31 )
| ( xsd_integer @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(191,plain,
! [SV39: $i,SV32: $i] :
( ( ( SV32 != SV39 )
| ~ ( xsd_string @ SV32 )
| ( xsd_string @ SV39 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(192,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)],[182]) ).
thf(193,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[182]) ).
thf(194,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(195,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[183]) ).
thf(196,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(197,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[184]) ).
thf(198,plain,
! [SV33: $i,SV26: $i] :
( ( ( ( SV26 != SV33 )
| ~ ( cc @ SV26 ) )
= $true )
| ( ( cc @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(199,plain,
! [SV34: $i,SV27: $i] :
( ( ( ( SV27 != SV34 )
| ~ ( cowlNothing @ SV27 ) )
= $true )
| ( ( cowlNothing @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(200,plain,
! [SV35: $i,SV28: $i] :
( ( ( ( SV28 != SV35 )
| ~ ( cowlThing @ SV28 ) )
= $true )
| ( ( cowlThing @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(201,plain,
! [SV40: $i,SV36: $i,SV29: $i] :
( ( ( SV29 != SV36 )
| ~ ( rp @ SV29 @ SV40 )
| ( rp @ SV36 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(202,plain,
! [SV41: $i,SV37: $i,SV30: $i] :
( ( ( SV30 != SV37 )
| ~ ( rp @ SV41 @ SV30 )
| ( rp @ SV41 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(203,plain,
! [SV38: $i,SV31: $i] :
( ( ( ( SV31 != SV38 )
| ~ ( xsd_integer @ SV31 ) )
= $true )
| ( ( xsd_integer @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(204,plain,
! [SV39: $i,SV32: $i] :
( ( ( ( SV32 != SV39 )
| ~ ( xsd_string @ SV32 ) )
= $true )
| ( ( xsd_string @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(205,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)],[192]) ).
thf(206,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(207,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(208,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(209,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(210,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[197]) ).
thf(211,plain,
! [SV33: $i,SV26: $i] :
( ( ( SV26 != SV33 )
= $true )
| ( ( ~ ( cc @ SV26 ) )
= $true )
| ( ( cc @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(212,plain,
! [SV34: $i,SV27: $i] :
( ( ( SV27 != SV34 )
= $true )
| ( ( ~ ( cowlNothing @ SV27 ) )
= $true )
| ( ( cowlNothing @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(213,plain,
! [SV35: $i,SV28: $i] :
( ( ( SV28 != SV35 )
= $true )
| ( ( ~ ( cowlThing @ SV28 ) )
= $true )
| ( ( cowlThing @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(214,plain,
! [SV40: $i,SV36: $i,SV29: $i] :
( ( ( ( SV29 != SV36 )
| ~ ( rp @ SV29 @ SV40 ) )
= $true )
| ( ( rp @ SV36 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(215,plain,
! [SV41: $i,SV37: $i,SV30: $i] :
( ( ( ( SV30 != SV37 )
| ~ ( rp @ SV41 @ SV30 ) )
= $true )
| ( ( rp @ SV41 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(216,plain,
! [SV38: $i,SV31: $i] :
( ( ( SV31 != SV38 )
= $true )
| ( ( ~ ( xsd_integer @ SV31 ) )
= $true )
| ( ( xsd_integer @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(217,plain,
! [SV39: $i,SV32: $i] :
( ( ( SV32 != SV39 )
= $true )
| ( ( ~ ( xsd_string @ SV32 ) )
= $true )
| ( ( xsd_string @ SV39 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(218,plain,
! [SV42: $i] :
( ( ~ ( cc @ SV42 )
| ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ( rp @ SV42 @ SY69 )
| ~ ( rp @ SV42 @ SY70 )
| ~ ( rp @ SV42 @ SY71 )
| ( SY70 = SY71 )
| ( SY69 = SY70 )
| ( SY69 = SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(219,plain,
! [SV43: $i] :
( ( ~ ( cc @ SV43 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY40 @ SV43 ) ) )
| ~ ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY40 @ SV43 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(220,plain,
! [SV44: $i] :
( ( ~ ( xsd_string @ SV44 )
| ~ ( xsd_integer @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(221,plain,
! [SV45: $i] :
( ( ( xsd_integer @ SV45 )
| ( xsd_string @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(222,plain,
! [SV46: $i] :
( ( cowlThing @ SV46 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(223,plain,
! [SV47: $i] :
( ( ~ ( cowlNothing @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(224,plain,
! [SV33: $i,SV26: $i] :
( ( ( SV26 = SV33 )
= $false )
| ( ( ~ ( cc @ SV26 ) )
= $true )
| ( ( cc @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(225,plain,
! [SV34: $i,SV27: $i] :
( ( ( SV27 = SV34 )
= $false )
| ( ( ~ ( cowlNothing @ SV27 ) )
= $true )
| ( ( cowlNothing @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(226,plain,
! [SV35: $i,SV28: $i] :
( ( ( SV28 = SV35 )
= $false )
| ( ( ~ ( cowlThing @ SV28 ) )
= $true )
| ( ( cowlThing @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(227,plain,
! [SV40: $i,SV36: $i,SV29: $i] :
( ( ( SV29 != SV36 )
= $true )
| ( ( ~ ( rp @ SV29 @ SV40 ) )
= $true )
| ( ( rp @ SV36 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(228,plain,
! [SV41: $i,SV37: $i,SV30: $i] :
( ( ( SV30 != SV37 )
= $true )
| ( ( ~ ( rp @ SV41 @ SV30 ) )
= $true )
| ( ( rp @ SV41 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(229,plain,
! [SV38: $i,SV31: $i] :
( ( ( SV31 = SV38 )
= $false )
| ( ( ~ ( xsd_integer @ SV31 ) )
= $true )
| ( ( xsd_integer @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(230,plain,
! [SV39: $i,SV32: $i] :
( ( ( SV32 = SV39 )
= $false )
| ( ( ~ ( xsd_string @ SV32 ) )
= $true )
| ( ( xsd_string @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(231,plain,
! [SV42: $i] :
( ( ( ~ ( cc @ SV42 ) )
= $true )
| ( ( ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ( rp @ SV42 @ SY69 )
| ~ ( rp @ SV42 @ SY70 )
| ~ ( rp @ SV42 @ SY71 )
| ( SY70 = SY71 )
| ( SY69 = SY70 )
| ( SY69 = SY71 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(232,plain,
! [SV43: $i] :
( ( ( ~ ( cc @ SV43 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY40 @ SV43 ) ) )
| ~ ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY40 @ SV43 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(233,plain,
! [SV44: $i] :
( ( ( ~ ( xsd_string @ SV44 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(234,plain,
! [SV45: $i] :
( ( ( xsd_integer @ SV45 )
= $true )
| ( ( xsd_string @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(235,plain,
! [SV47: $i] :
( ( cowlNothing @ SV47 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(236,plain,
! [SV33: $i,SV26: $i] :
( ( ( cc @ SV26 )
= $false )
| ( ( SV26 = SV33 )
= $false )
| ( ( cc @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(237,plain,
! [SV34: $i,SV27: $i] :
( ( ( cowlNothing @ SV27 )
= $false )
| ( ( SV27 = SV34 )
= $false )
| ( ( cowlNothing @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(238,plain,
! [SV35: $i,SV28: $i] :
( ( ( cowlThing @ SV28 )
= $false )
| ( ( SV28 = SV35 )
= $false )
| ( ( cowlThing @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(239,plain,
! [SV40: $i,SV36: $i,SV29: $i] :
( ( ( SV29 = SV36 )
= $false )
| ( ( ~ ( rp @ SV29 @ SV40 ) )
= $true )
| ( ( rp @ SV36 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV41: $i,SV37: $i,SV30: $i] :
( ( ( SV30 = SV37 )
= $false )
| ( ( ~ ( rp @ SV41 @ SV30 ) )
= $true )
| ( ( rp @ SV41 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[228]) ).
thf(241,plain,
! [SV38: $i,SV31: $i] :
( ( ( xsd_integer @ SV31 )
= $false )
| ( ( SV31 = SV38 )
= $false )
| ( ( xsd_integer @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(242,plain,
! [SV39: $i,SV32: $i] :
( ( ( xsd_string @ SV32 )
= $false )
| ( ( SV32 = SV39 )
= $false )
| ( ( xsd_string @ SV39 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(243,plain,
! [SV42: $i] :
( ( ( cc @ SV42 )
= $false )
| ( ( ! [SY69: $i,SY70: $i,SY71: $i] :
( ~ ( rp @ SV42 @ SY69 )
| ~ ( rp @ SV42 @ SY70 )
| ~ ( rp @ SV42 @ SY71 )
| ( SY70 = SY71 )
| ( SY69 = SY70 )
| ( SY69 = SY71 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(244,plain,
! [SV43: $i] :
( ( ( cc @ SV43 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY40 @ SV43 ) ) )
| ~ ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY40 @ SV43 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(245,plain,
! [SV44: $i] :
( ( ( xsd_string @ SV44 )
= $false )
| ( ( ~ ( xsd_integer @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(246,plain,
! [SV36: $i,SV40: $i,SV29: $i] :
( ( ( rp @ SV29 @ SV40 )
= $false )
| ( ( SV29 = SV36 )
= $false )
| ( ( rp @ SV36 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(247,plain,
! [SV37: $i,SV30: $i,SV41: $i] :
( ( ( rp @ SV41 @ SV30 )
= $false )
| ( ( SV30 = SV37 )
= $false )
| ( ( rp @ SV41 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(248,plain,
! [SV48: $i,SV42: $i] :
( ( ( ! [SY72: $i,SY73: $i] :
( ~ ( rp @ SV42 @ SV48 )
| ~ ( rp @ SV42 @ SY72 )
| ~ ( rp @ SV42 @ SY73 )
| ( SY72 = SY73 )
| ( SV48 = SY72 )
| ( SV48 = SY73 ) ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(249,plain,
! [SV43: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY40 @ SV43 ) ) )
| ~ ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY40 @ SV43 ) ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(250,plain,
! [SV44: $i] :
( ( ( xsd_integer @ SV44 )
= $false )
| ( ( xsd_string @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(251,plain,
! [SV49: $i,SV48: $i,SV42: $i] :
( ( ( ! [SY74: $i] :
( ~ ( rp @ SV42 @ SV48 )
| ~ ( rp @ SV42 @ SV49 )
| ~ ( rp @ SV42 @ SY74 )
| ( SV49 = SY74 )
| ( SV48 = SV49 )
| ( SV48 = SY74 ) ) )
= $true )
| ( ( cc @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(252,plain,
! [SV43: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY40 @ SV43 ) ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(253,plain,
! [SV43: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY40 @ SV43 ) ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[249]) ).
thf(254,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)],[251]) ).
thf(255,plain,
! [SV43: $i] :
( ( ( ( sK10_Y0 @ SV43 )
!= ( sK11_SY40 @ SV43 ) )
= $true )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(256,plain,
! [SV43: $i] :
( ( ( ~ ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY40 @ SV43 ) ) ) )
= $true )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(257,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)],[254]) ).
thf(258,plain,
! [SV43: $i] :
( ( ( ( sK10_Y0 @ SV43 )
= ( sK11_SY40 @ SV43 ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(259,plain,
! [SV43: $i] :
( ( ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
| ~ ( rp @ SV43 @ ( sK11_SY40 @ SV43 ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(260,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)],[257]) ).
thf(261,plain,
! [SV43: $i] :
( ( ( ~ ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(262,plain,
! [SV43: $i] :
( ( ( ~ ( rp @ SV43 @ ( sK11_SY40 @ SV43 ) ) )
= $false )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(263,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)],[260]) ).
thf(264,plain,
! [SV43: $i] :
( ( ( rp @ SV43 @ ( sK10_Y0 @ SV43 ) )
= $true )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(265,plain,
! [SV43: $i] :
( ( ( rp @ SV43 @ ( sK11_SY40 @ SV43 ) )
= $true )
| ( ( cc @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(266,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)],[263]) ).
thf(267,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)],[266]) ).
thf(268,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)],[267]) ).
thf(269,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)],[268]) ).
thf(270,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)],[269]) ).
thf(271,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[171,270,265,264,258,250,247,246,242,241,238,237,236,235,234,222]) ).
thf(272,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(273,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(274,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(275,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(276,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(277,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(278,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(279,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(280,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(281,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_SY40 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY40 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(282,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(283,plain,
( ( ~ ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(284,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_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(285,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(286,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(287,plain,
! [SV51: $i] :
( ( ! [SY75: $i] :
( ( SV51 != SY75 )
| ~ ( cc @ SV51 )
| ( cc @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(288,plain,
! [SV52: $i] :
( ( ! [SY76: $i] :
( ( SV52 != SY76 )
| ~ ( cowlNothing @ SV52 )
| ( cowlNothing @ SY76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(289,plain,
! [SV53: $i] :
( ( ! [SY77: $i] :
( ( SV53 != SY77 )
| ~ ( cowlThing @ SV53 )
| ( cowlThing @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(290,plain,
! [SV54: $i] :
( ( ! [SY78: $i,SY79: $i] :
( ( SV54 != SY78 )
| ~ ( rp @ SV54 @ SY79 )
| ( rp @ SY78 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(291,plain,
! [SV55: $i] :
( ( ! [SY80: $i,SY81: $i] :
( ( SV55 != SY80 )
| ~ ( rp @ SY81 @ SV55 )
| ( rp @ SY81 @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(292,plain,
! [SV56: $i] :
( ( ! [SY82: $i] :
( ( SV56 != SY82 )
| ~ ( xsd_integer @ SV56 )
| ( xsd_integer @ SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(293,plain,
! [SV57: $i] :
( ( ! [SY83: $i] :
( ( SV57 != SY83 )
| ~ ( xsd_string @ SV57 )
| ( xsd_string @ SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(294,plain,
( ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(295,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_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(296,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(297,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(298,plain,
! [SV58: $i,SV51: $i] :
( ( ( SV51 != SV58 )
| ~ ( cc @ SV51 )
| ( cc @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(299,plain,
! [SV59: $i,SV52: $i] :
( ( ( SV52 != SV59 )
| ~ ( cowlNothing @ SV52 )
| ( cowlNothing @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(300,plain,
! [SV60: $i,SV53: $i] :
( ( ( SV53 != SV60 )
| ~ ( cowlThing @ SV53 )
| ( cowlThing @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(301,plain,
! [SV61: $i,SV54: $i] :
( ( ! [SY84: $i] :
( ( SV54 != SV61 )
| ~ ( rp @ SV54 @ SY84 )
| ( rp @ SV61 @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(302,plain,
! [SV62: $i,SV55: $i] :
( ( ! [SY85: $i] :
( ( SV55 != SV62 )
| ~ ( rp @ SY85 @ SV55 )
| ( rp @ SY85 @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(303,plain,
! [SV63: $i,SV56: $i] :
( ( ( SV56 != SV63 )
| ~ ( xsd_integer @ SV56 )
| ( xsd_integer @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(304,plain,
! [SV64: $i,SV57: $i] :
( ( ( SV57 != SV64 )
| ~ ( xsd_string @ SV57 )
| ( xsd_string @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(305,plain,
( ( ~ ( xsd_string @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(306,plain,
( ( ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[294]) ).
thf(307,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)],[295]) ).
thf(308,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(309,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(310,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(311,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(312,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[297]) ).
thf(313,plain,
! [SV58: $i,SV51: $i] :
( ( ( ( SV51 != SV58 )
| ~ ( cc @ SV51 ) )
= $true )
| ( ( cc @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(314,plain,
! [SV59: $i,SV52: $i] :
( ( ( ( SV52 != SV59 )
| ~ ( cowlNothing @ SV52 ) )
= $true )
| ( ( cowlNothing @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(315,plain,
! [SV60: $i,SV53: $i] :
( ( ( ( SV53 != SV60 )
| ~ ( cowlThing @ SV53 ) )
= $true )
| ( ( cowlThing @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(316,plain,
! [SV65: $i,SV61: $i,SV54: $i] :
( ( ( SV54 != SV61 )
| ~ ( rp @ SV54 @ SV65 )
| ( rp @ SV61 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(317,plain,
! [SV66: $i,SV62: $i,SV55: $i] :
( ( ( SV55 != SV62 )
| ~ ( rp @ SV66 @ SV55 )
| ( rp @ SV66 @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(318,plain,
! [SV63: $i,SV56: $i] :
( ( ( ( SV56 != SV63 )
| ~ ( xsd_integer @ SV56 ) )
= $true )
| ( ( xsd_integer @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(319,plain,
! [SV64: $i,SV57: $i] :
( ( ( ( SV57 != SV64 )
| ~ ( xsd_string @ SV57 ) )
= $true )
| ( ( xsd_string @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(320,plain,
( ( xsd_string @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(321,plain,
( ( xsd_integer @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(322,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)],[307]) ).
thf(323,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(324,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(325,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(326,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(327,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(328,plain,
! [SV58: $i,SV51: $i] :
( ( ( SV51 != SV58 )
= $true )
| ( ( ~ ( cc @ SV51 ) )
= $true )
| ( ( cc @ SV58 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(329,plain,
! [SV59: $i,SV52: $i] :
( ( ( SV52 != SV59 )
= $true )
| ( ( ~ ( cowlNothing @ SV52 ) )
= $true )
| ( ( cowlNothing @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(330,plain,
! [SV60: $i,SV53: $i] :
( ( ( SV53 != SV60 )
= $true )
| ( ( ~ ( cowlThing @ SV53 ) )
= $true )
| ( ( cowlThing @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(331,plain,
! [SV65: $i,SV61: $i,SV54: $i] :
( ( ( ( SV54 != SV61 )
| ~ ( rp @ SV54 @ SV65 ) )
= $true )
| ( ( rp @ SV61 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(332,plain,
! [SV66: $i,SV62: $i,SV55: $i] :
( ( ( ( SV55 != SV62 )
| ~ ( rp @ SV66 @ SV55 ) )
= $true )
| ( ( rp @ SV66 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(333,plain,
! [SV63: $i,SV56: $i] :
( ( ( SV56 != SV63 )
= $true )
| ( ( ~ ( xsd_integer @ SV56 ) )
= $true )
| ( ( xsd_integer @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(334,plain,
! [SV64: $i,SV57: $i] :
( ( ( SV57 != SV64 )
= $true )
| ( ( ~ ( xsd_string @ SV57 ) )
= $true )
| ( ( xsd_string @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(335,plain,
! [SV67: $i] :
( ( ~ ( cc @ SV67 )
| ! [SY86: $i,SY87: $i,SY88: $i] :
( ~ ( rp @ SV67 @ SY86 )
| ~ ( rp @ SV67 @ SY87 )
| ~ ( rp @ SV67 @ SY88 )
| ( SY87 = SY88 )
| ( SY86 = SY87 )
| ( SY86 = SY88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(336,plain,
! [SV68: $i] :
( ( ~ ( cc @ SV68 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV68 )
!= ( sK11_SY40 @ SV68 ) ) )
| ~ ~ ( ~ ( rp @ SV68 @ ( sK10_Y0 @ SV68 ) )
| ~ ( rp @ SV68 @ ( sK11_SY40 @ SV68 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(337,plain,
! [SV69: $i] :
( ( ~ ( xsd_string @ SV69 )
| ~ ( xsd_integer @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(338,plain,
! [SV70: $i] :
( ( ( xsd_integer @ SV70 )
| ( xsd_string @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(339,plain,
! [SV71: $i] :
( ( cowlThing @ SV71 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(340,plain,
! [SV72: $i] :
( ( ~ ( cowlNothing @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(341,plain,
! [SV58: $i,SV51: $i] :
( ( ( SV51 = SV58 )
= $false )
| ( ( ~ ( cc @ SV51 ) )
= $true )
| ( ( cc @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(342,plain,
! [SV59: $i,SV52: $i] :
( ( ( SV52 = SV59 )
= $false )
| ( ( ~ ( cowlNothing @ SV52 ) )
= $true )
| ( ( cowlNothing @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(343,plain,
! [SV60: $i,SV53: $i] :
( ( ( SV53 = SV60 )
= $false )
| ( ( ~ ( cowlThing @ SV53 ) )
= $true )
| ( ( cowlThing @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(344,plain,
! [SV65: $i,SV61: $i,SV54: $i] :
( ( ( SV54 != SV61 )
= $true )
| ( ( ~ ( rp @ SV54 @ SV65 ) )
= $true )
| ( ( rp @ SV61 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(345,plain,
! [SV66: $i,SV62: $i,SV55: $i] :
( ( ( SV55 != SV62 )
= $true )
| ( ( ~ ( rp @ SV66 @ SV55 ) )
= $true )
| ( ( rp @ SV66 @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(346,plain,
! [SV63: $i,SV56: $i] :
( ( ( SV56 = SV63 )
= $false )
| ( ( ~ ( xsd_integer @ SV56 ) )
= $true )
| ( ( xsd_integer @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(347,plain,
! [SV64: $i,SV57: $i] :
( ( ( SV57 = SV64 )
= $false )
| ( ( ~ ( xsd_string @ SV57 ) )
= $true )
| ( ( xsd_string @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(348,plain,
! [SV67: $i] :
( ( ( ~ ( cc @ SV67 ) )
= $true )
| ( ( ! [SY86: $i,SY87: $i,SY88: $i] :
( ~ ( rp @ SV67 @ SY86 )
| ~ ( rp @ SV67 @ SY87 )
| ~ ( rp @ SV67 @ SY88 )
| ( SY87 = SY88 )
| ( SY86 = SY87 )
| ( SY86 = SY88 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(349,plain,
! [SV68: $i] :
( ( ( ~ ( cc @ SV68 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV68 )
!= ( sK11_SY40 @ SV68 ) ) )
| ~ ~ ( ~ ( rp @ SV68 @ ( sK10_Y0 @ SV68 ) )
| ~ ( rp @ SV68 @ ( sK11_SY40 @ SV68 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(350,plain,
! [SV69: $i] :
( ( ( ~ ( xsd_string @ SV69 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV69 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(351,plain,
! [SV70: $i] :
( ( ( xsd_integer @ SV70 )
= $true )
| ( ( xsd_string @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(352,plain,
! [SV72: $i] :
( ( cowlNothing @ SV72 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(353,plain,
! [SV58: $i,SV51: $i] :
( ( ( cc @ SV51 )
= $false )
| ( ( SV51 = SV58 )
= $false )
| ( ( cc @ SV58 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(354,plain,
! [SV59: $i,SV52: $i] :
( ( ( cowlNothing @ SV52 )
= $false )
| ( ( SV52 = SV59 )
= $false )
| ( ( cowlNothing @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(355,plain,
! [SV60: $i,SV53: $i] :
( ( ( cowlThing @ SV53 )
= $false )
| ( ( SV53 = SV60 )
= $false )
| ( ( cowlThing @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(356,plain,
! [SV65: $i,SV61: $i,SV54: $i] :
( ( ( SV54 = SV61 )
= $false )
| ( ( ~ ( rp @ SV54 @ SV65 ) )
= $true )
| ( ( rp @ SV61 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(357,plain,
! [SV66: $i,SV62: $i,SV55: $i] :
( ( ( SV55 = SV62 )
= $false )
| ( ( ~ ( rp @ SV66 @ SV55 ) )
= $true )
| ( ( rp @ SV66 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(358,plain,
! [SV63: $i,SV56: $i] :
( ( ( xsd_integer @ SV56 )
= $false )
| ( ( SV56 = SV63 )
= $false )
| ( ( xsd_integer @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(359,plain,
! [SV64: $i,SV57: $i] :
( ( ( xsd_string @ SV57 )
= $false )
| ( ( SV57 = SV64 )
= $false )
| ( ( xsd_string @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(360,plain,
! [SV67: $i] :
( ( ( cc @ SV67 )
= $false )
| ( ( ! [SY86: $i,SY87: $i,SY88: $i] :
( ~ ( rp @ SV67 @ SY86 )
| ~ ( rp @ SV67 @ SY87 )
| ~ ( rp @ SV67 @ SY88 )
| ( SY87 = SY88 )
| ( SY86 = SY87 )
| ( SY86 = SY88 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(361,plain,
! [SV68: $i] :
( ( ( cc @ SV68 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV68 )
!= ( sK11_SY40 @ SV68 ) ) )
| ~ ~ ( ~ ( rp @ SV68 @ ( sK10_Y0 @ SV68 ) )
| ~ ( rp @ SV68 @ ( sK11_SY40 @ SV68 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(362,plain,
! [SV69: $i] :
( ( ( xsd_string @ SV69 )
= $false )
| ( ( ~ ( xsd_integer @ SV69 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(363,plain,
! [SV61: $i,SV65: $i,SV54: $i] :
( ( ( rp @ SV54 @ SV65 )
= $false )
| ( ( SV54 = SV61 )
= $false )
| ( ( rp @ SV61 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(364,plain,
! [SV62: $i,SV55: $i,SV66: $i] :
( ( ( rp @ SV66 @ SV55 )
= $false )
| ( ( SV55 = SV62 )
= $false )
| ( ( rp @ SV66 @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(365,plain,
! [SV73: $i,SV67: $i] :
( ( ( ! [SY89: $i,SY90: $i] :
( ~ ( rp @ SV67 @ SV73 )
| ~ ( rp @ SV67 @ SY89 )
| ~ ( rp @ SV67 @ SY90 )
| ( SY89 = SY90 )
| ( SV73 = SY89 )
| ( SV73 = SY90 ) ) )
= $true )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(366,plain,
! [SV68: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV68 )
!= ( sK11_SY40 @ SV68 ) ) )
| ~ ~ ( ~ ( rp @ SV68 @ ( sK10_Y0 @ SV68 ) )
| ~ ( rp @ SV68 @ ( sK11_SY40 @ SV68 ) ) ) )
= $false )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(367,plain,
! [SV69: $i] :
( ( ( xsd_integer @ SV69 )
= $false )
| ( ( xsd_string @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(368,plain,
! [SV74: $i,SV73: $i,SV67: $i] :
( ( ( ! [SY91: $i] :
( ~ ( rp @ SV67 @ SV73 )
| ~ ( rp @ SV67 @ SV74 )
| ~ ( rp @ SV67 @ SY91 )
| ( SV74 = SY91 )
| ( SV73 = SV74 )
| ( SV73 = SY91 ) ) )
= $true )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(369,plain,
! [SV68: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV68 )
!= ( sK11_SY40 @ SV68 ) ) ) )
= $false )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(370,plain,
! [SV68: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV68 @ ( sK10_Y0 @ SV68 ) )
| ~ ( rp @ SV68 @ ( sK11_SY40 @ SV68 ) ) ) )
= $false )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[366]) ).
thf(371,plain,
! [SV75: $i,SV74: $i,SV73: $i,SV67: $i] :
( ( ( ~ ( rp @ SV67 @ SV73 )
| ~ ( rp @ SV67 @ SV74 )
| ~ ( rp @ SV67 @ SV75 )
| ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(372,plain,
! [SV68: $i] :
( ( ( ( sK10_Y0 @ SV68 )
!= ( sK11_SY40 @ SV68 ) )
= $true )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(373,plain,
! [SV68: $i] :
( ( ( ~ ( ~ ( rp @ SV68 @ ( sK10_Y0 @ SV68 ) )
| ~ ( rp @ SV68 @ ( sK11_SY40 @ SV68 ) ) ) )
= $true )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(374,plain,
! [SV75: $i,SV74: $i,SV73: $i,SV67: $i] :
( ( ( ~ ( rp @ SV67 @ SV73 )
| ~ ( rp @ SV67 @ SV74 )
| ~ ( rp @ SV67 @ SV75 ) )
= $true )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(375,plain,
! [SV68: $i] :
( ( ( ( sK10_Y0 @ SV68 )
= ( sK11_SY40 @ SV68 ) )
= $false )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(376,plain,
! [SV68: $i] :
( ( ( ~ ( rp @ SV68 @ ( sK10_Y0 @ SV68 ) )
| ~ ( rp @ SV68 @ ( sK11_SY40 @ SV68 ) ) )
= $false )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(377,plain,
! [SV75: $i,SV74: $i,SV73: $i,SV67: $i] :
( ( ( ~ ( rp @ SV67 @ SV73 )
| ~ ( rp @ SV67 @ SV74 ) )
= $true )
| ( ( ~ ( rp @ SV67 @ SV75 ) )
= $true )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(378,plain,
! [SV68: $i] :
( ( ( ~ ( rp @ SV68 @ ( sK10_Y0 @ SV68 ) ) )
= $false )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(379,plain,
! [SV68: $i] :
( ( ( ~ ( rp @ SV68 @ ( sK11_SY40 @ SV68 ) ) )
= $false )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[376]) ).
thf(380,plain,
! [SV75: $i,SV74: $i,SV73: $i,SV67: $i] :
( ( ( ~ ( rp @ SV67 @ SV73 ) )
= $true )
| ( ( ~ ( rp @ SV67 @ SV74 ) )
= $true )
| ( ( ~ ( rp @ SV67 @ SV75 ) )
= $true )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(381,plain,
! [SV68: $i] :
( ( ( rp @ SV68 @ ( sK10_Y0 @ SV68 ) )
= $true )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(382,plain,
! [SV68: $i] :
( ( ( rp @ SV68 @ ( sK11_SY40 @ SV68 ) )
= $true )
| ( ( cc @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(383,plain,
! [SV75: $i,SV74: $i,SV73: $i,SV67: $i] :
( ( ( rp @ SV67 @ SV73 )
= $false )
| ( ( ~ ( rp @ SV67 @ SV74 ) )
= $true )
| ( ( ~ ( rp @ SV67 @ SV75 ) )
= $true )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(384,plain,
! [SV75: $i,SV73: $i,SV74: $i,SV67: $i] :
( ( ( rp @ SV67 @ SV74 )
= $false )
| ( ( rp @ SV67 @ SV73 )
= $false )
| ( ( ~ ( rp @ SV67 @ SV75 ) )
= $true )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(385,plain,
! [SV74: $i,SV73: $i,SV75: $i,SV67: $i] :
( ( ( rp @ SV67 @ SV75 )
= $false )
| ( ( rp @ SV67 @ SV73 )
= $false )
| ( ( rp @ SV67 @ SV74 )
= $false )
| ( ( ( SV74 = SV75 )
| ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(386,plain,
! [SV67: $i,SV73: $i,SV75: $i,SV74: $i] :
( ( ( SV74 = SV75 )
= $true )
| ( ( ( SV73 = SV74 )
| ( SV73 = SV75 ) )
= $true )
| ( ( rp @ SV67 @ SV74 )
= $false )
| ( ( rp @ SV67 @ SV73 )
= $false )
| ( ( rp @ SV67 @ SV75 )
= $false )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(387,plain,
! [SV67: $i,SV75: $i,SV74: $i,SV73: $i] :
( ( ( SV73 = SV74 )
= $true )
| ( ( SV73 = SV75 )
= $true )
| ( ( SV74 = SV75 )
= $true )
| ( ( rp @ SV67 @ SV74 )
= $false )
| ( ( rp @ SV67 @ SV73 )
= $false )
| ( ( rp @ SV67 @ SV75 )
= $false )
| ( ( cc @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(388,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[320,387,382,381,375,367,364,363,359,358,355,354,353,352,351,339,321]) ).
thf(389,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(390,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(391,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(392,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(393,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(394,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(395,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(396,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(397,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(398,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_SY40 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY40 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(399,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(400,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(401,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(402,plain,
( ( ~ ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
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_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(404,plain,
! [SV76: $i] :
( ( ! [SY92: $i] :
( ( SV76 != SY92 )
| ~ ( cc @ SV76 )
| ( cc @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(405,plain,
! [SV77: $i] :
( ( ! [SY93: $i] :
( ( SV77 != SY93 )
| ~ ( cowlNothing @ SV77 )
| ( cowlNothing @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(406,plain,
! [SV78: $i] :
( ( ! [SY94: $i] :
( ( SV78 != SY94 )
| ~ ( cowlThing @ SV78 )
| ( cowlThing @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(407,plain,
! [SV79: $i] :
( ( ! [SY95: $i,SY96: $i] :
( ( SV79 != SY95 )
| ~ ( rp @ SV79 @ SY96 )
| ( rp @ SY95 @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(408,plain,
! [SV80: $i] :
( ( ! [SY97: $i,SY98: $i] :
( ( SV80 != SY97 )
| ~ ( rp @ SY98 @ SV80 )
| ( rp @ SY98 @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(409,plain,
! [SV81: $i] :
( ( ! [SY99: $i] :
( ( SV81 != SY99 )
| ~ ( xsd_integer @ SV81 )
| ( xsd_integer @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(410,plain,
! [SV82: $i] :
( ( ! [SY100: $i] :
( ( SV82 != SY100 )
| ~ ( xsd_string @ SV82 )
| ( xsd_string @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(411,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(412,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(413,plain,
( ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
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_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(415,plain,
! [SV83: $i,SV76: $i] :
( ( ( SV76 != SV83 )
| ~ ( cc @ SV76 )
| ( cc @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(416,plain,
! [SV84: $i,SV77: $i] :
( ( ( SV77 != SV84 )
| ~ ( cowlNothing @ SV77 )
| ( cowlNothing @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(417,plain,
! [SV85: $i,SV78: $i] :
( ( ( SV78 != SV85 )
| ~ ( cowlThing @ SV78 )
| ( cowlThing @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(418,plain,
! [SV86: $i,SV79: $i] :
( ( ! [SY101: $i] :
( ( SV79 != SV86 )
| ~ ( rp @ SV79 @ SY101 )
| ( rp @ SV86 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(419,plain,
! [SV87: $i,SV80: $i] :
( ( ! [SY102: $i] :
( ( SV80 != SV87 )
| ~ ( rp @ SY102 @ SV80 )
| ( rp @ SY102 @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(420,plain,
! [SV88: $i,SV81: $i] :
( ( ( SV81 != SV88 )
| ~ ( xsd_integer @ SV81 )
| ( xsd_integer @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(421,plain,
! [SV89: $i,SV82: $i] :
( ( ( SV82 != SV89 )
| ~ ( xsd_string @ SV82 )
| ( xsd_string @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(422,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(423,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[411]) ).
thf(424,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(425,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(426,plain,
( ( ~ ~ ( xsd_integer @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(427,plain,
( ( ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(428,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(429,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(430,plain,
! [SV83: $i,SV76: $i] :
( ( ( ( SV76 != SV83 )
| ~ ( cc @ SV76 ) )
= $true )
| ( ( cc @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(431,plain,
! [SV84: $i,SV77: $i] :
( ( ( ( SV77 != SV84 )
| ~ ( cowlNothing @ SV77 ) )
= $true )
| ( ( cowlNothing @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(432,plain,
! [SV85: $i,SV78: $i] :
( ( ( ( SV78 != SV85 )
| ~ ( cowlThing @ SV78 ) )
= $true )
| ( ( cowlThing @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(433,plain,
! [SV90: $i,SV86: $i,SV79: $i] :
( ( ( SV79 != SV86 )
| ~ ( rp @ SV79 @ SV90 )
| ( rp @ SV86 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(434,plain,
! [SV91: $i,SV87: $i,SV80: $i] :
( ( ( SV80 != SV87 )
| ~ ( rp @ SV91 @ SV80 )
| ( rp @ SV91 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(435,plain,
! [SV88: $i,SV81: $i] :
( ( ( ( SV81 != SV88 )
| ~ ( xsd_integer @ SV81 ) )
= $true )
| ( ( xsd_integer @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(436,plain,
! [SV89: $i,SV82: $i] :
( ( ( ( SV82 != SV89 )
| ~ ( xsd_string @ SV82 ) )
= $true )
| ( ( xsd_string @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(437,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(438,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(439,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(440,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(441,plain,
( ( ~ ( xsd_integer @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(442,plain,
( ( ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(443,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)],[428]) ).
thf(444,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(445,plain,
! [SV83: $i,SV76: $i] :
( ( ( SV76 != SV83 )
= $true )
| ( ( ~ ( cc @ SV76 ) )
= $true )
| ( ( cc @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(446,plain,
! [SV84: $i,SV77: $i] :
( ( ( SV77 != SV84 )
= $true )
| ( ( ~ ( cowlNothing @ SV77 ) )
= $true )
| ( ( cowlNothing @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(447,plain,
! [SV85: $i,SV78: $i] :
( ( ( SV78 != SV85 )
= $true )
| ( ( ~ ( cowlThing @ SV78 ) )
= $true )
| ( ( cowlThing @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(448,plain,
! [SV90: $i,SV86: $i,SV79: $i] :
( ( ( ( SV79 != SV86 )
| ~ ( rp @ SV79 @ SV90 ) )
= $true )
| ( ( rp @ SV86 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(449,plain,
! [SV91: $i,SV87: $i,SV80: $i] :
( ( ( ( SV80 != SV87 )
| ~ ( rp @ SV91 @ SV80 ) )
= $true )
| ( ( rp @ SV91 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(450,plain,
! [SV88: $i,SV81: $i] :
( ( ( SV81 != SV88 )
= $true )
| ( ( ~ ( xsd_integer @ SV81 ) )
= $true )
| ( ( xsd_integer @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(451,plain,
! [SV89: $i,SV82: $i] :
( ( ( SV82 != SV89 )
= $true )
| ( ( ~ ( xsd_string @ SV82 ) )
= $true )
| ( ( xsd_string @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(452,plain,
! [SV92: $i] :
( ( cowlThing @ SV92 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(453,plain,
! [SV93: $i] :
( ( ~ ( cowlNothing @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(454,plain,
! [SV94: $i] :
( ( ~ ( xsd_string @ SV94 )
| ~ ( xsd_integer @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(455,plain,
! [SV95: $i] :
( ( ( xsd_integer @ SV95 )
| ( xsd_string @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(456,plain,
( ( xsd_integer @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(457,plain,
( ( xsd_string @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(458,plain,
! [SV96: $i] :
( ( ~ ( cc @ SV96 )
| ! [SY103: $i,SY104: $i,SY105: $i] :
( ~ ( rp @ SV96 @ SY103 )
| ~ ( rp @ SV96 @ SY104 )
| ~ ( rp @ SV96 @ SY105 )
| ( SY104 = SY105 )
| ( SY103 = SY104 )
| ( SY103 = SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(459,plain,
! [SV97: $i] :
( ( ~ ( cc @ SV97 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV97 )
!= ( sK11_SY40 @ SV97 ) ) )
| ~ ~ ( ~ ( rp @ SV97 @ ( sK10_Y0 @ SV97 ) )
| ~ ( rp @ SV97 @ ( sK11_SY40 @ SV97 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(460,plain,
! [SV83: $i,SV76: $i] :
( ( ( SV76 = SV83 )
= $false )
| ( ( ~ ( cc @ SV76 ) )
= $true )
| ( ( cc @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(461,plain,
! [SV84: $i,SV77: $i] :
( ( ( SV77 = SV84 )
= $false )
| ( ( ~ ( cowlNothing @ SV77 ) )
= $true )
| ( ( cowlNothing @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(462,plain,
! [SV85: $i,SV78: $i] :
( ( ( SV78 = SV85 )
= $false )
| ( ( ~ ( cowlThing @ SV78 ) )
= $true )
| ( ( cowlThing @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(463,plain,
! [SV90: $i,SV86: $i,SV79: $i] :
( ( ( SV79 != SV86 )
= $true )
| ( ( ~ ( rp @ SV79 @ SV90 ) )
= $true )
| ( ( rp @ SV86 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(464,plain,
! [SV91: $i,SV87: $i,SV80: $i] :
( ( ( SV80 != SV87 )
= $true )
| ( ( ~ ( rp @ SV91 @ SV80 ) )
= $true )
| ( ( rp @ SV91 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(465,plain,
! [SV88: $i,SV81: $i] :
( ( ( SV81 = SV88 )
= $false )
| ( ( ~ ( xsd_integer @ SV81 ) )
= $true )
| ( ( xsd_integer @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(466,plain,
! [SV89: $i,SV82: $i] :
( ( ( SV82 = SV89 )
= $false )
| ( ( ~ ( xsd_string @ SV82 ) )
= $true )
| ( ( xsd_string @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(467,plain,
! [SV93: $i] :
( ( cowlNothing @ SV93 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(468,plain,
! [SV94: $i] :
( ( ( ~ ( xsd_string @ SV94 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(469,plain,
! [SV95: $i] :
( ( ( xsd_integer @ SV95 )
= $true )
| ( ( xsd_string @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(470,plain,
! [SV96: $i] :
( ( ( ~ ( cc @ SV96 ) )
= $true )
| ( ( ! [SY103: $i,SY104: $i,SY105: $i] :
( ~ ( rp @ SV96 @ SY103 )
| ~ ( rp @ SV96 @ SY104 )
| ~ ( rp @ SV96 @ SY105 )
| ( SY104 = SY105 )
| ( SY103 = SY104 )
| ( SY103 = SY105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(471,plain,
! [SV97: $i] :
( ( ( ~ ( cc @ SV97 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV97 )
!= ( sK11_SY40 @ SV97 ) ) )
| ~ ~ ( ~ ( rp @ SV97 @ ( sK10_Y0 @ SV97 ) )
| ~ ( rp @ SV97 @ ( sK11_SY40 @ SV97 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(472,plain,
! [SV83: $i,SV76: $i] :
( ( ( cc @ SV76 )
= $false )
| ( ( SV76 = SV83 )
= $false )
| ( ( cc @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(473,plain,
! [SV84: $i,SV77: $i] :
( ( ( cowlNothing @ SV77 )
= $false )
| ( ( SV77 = SV84 )
= $false )
| ( ( cowlNothing @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(474,plain,
! [SV85: $i,SV78: $i] :
( ( ( cowlThing @ SV78 )
= $false )
| ( ( SV78 = SV85 )
= $false )
| ( ( cowlThing @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(475,plain,
! [SV90: $i,SV86: $i,SV79: $i] :
( ( ( SV79 = SV86 )
= $false )
| ( ( ~ ( rp @ SV79 @ SV90 ) )
= $true )
| ( ( rp @ SV86 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(476,plain,
! [SV91: $i,SV87: $i,SV80: $i] :
( ( ( SV80 = SV87 )
= $false )
| ( ( ~ ( rp @ SV91 @ SV80 ) )
= $true )
| ( ( rp @ SV91 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(477,plain,
! [SV88: $i,SV81: $i] :
( ( ( xsd_integer @ SV81 )
= $false )
| ( ( SV81 = SV88 )
= $false )
| ( ( xsd_integer @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(478,plain,
! [SV89: $i,SV82: $i] :
( ( ( xsd_string @ SV82 )
= $false )
| ( ( SV82 = SV89 )
= $false )
| ( ( xsd_string @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(479,plain,
! [SV94: $i] :
( ( ( xsd_string @ SV94 )
= $false )
| ( ( ~ ( xsd_integer @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(480,plain,
! [SV96: $i] :
( ( ( cc @ SV96 )
= $false )
| ( ( ! [SY103: $i,SY104: $i,SY105: $i] :
( ~ ( rp @ SV96 @ SY103 )
| ~ ( rp @ SV96 @ SY104 )
| ~ ( rp @ SV96 @ SY105 )
| ( SY104 = SY105 )
| ( SY103 = SY104 )
| ( SY103 = SY105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(481,plain,
! [SV97: $i] :
( ( ( cc @ SV97 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV97 )
!= ( sK11_SY40 @ SV97 ) ) )
| ~ ~ ( ~ ( rp @ SV97 @ ( sK10_Y0 @ SV97 ) )
| ~ ( rp @ SV97 @ ( sK11_SY40 @ SV97 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(482,plain,
! [SV86: $i,SV90: $i,SV79: $i] :
( ( ( rp @ SV79 @ SV90 )
= $false )
| ( ( SV79 = SV86 )
= $false )
| ( ( rp @ SV86 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(483,plain,
! [SV87: $i,SV80: $i,SV91: $i] :
( ( ( rp @ SV91 @ SV80 )
= $false )
| ( ( SV80 = SV87 )
= $false )
| ( ( rp @ SV91 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(484,plain,
! [SV94: $i] :
( ( ( xsd_integer @ SV94 )
= $false )
| ( ( xsd_string @ SV94 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(485,plain,
! [SV98: $i,SV96: $i] :
( ( ( ! [SY106: $i,SY107: $i] :
( ~ ( rp @ SV96 @ SV98 )
| ~ ( rp @ SV96 @ SY106 )
| ~ ( rp @ SV96 @ SY107 )
| ( SY106 = SY107 )
| ( SV98 = SY106 )
| ( SV98 = SY107 ) ) )
= $true )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(486,plain,
! [SV97: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV97 )
!= ( sK11_SY40 @ SV97 ) ) )
| ~ ~ ( ~ ( rp @ SV97 @ ( sK10_Y0 @ SV97 ) )
| ~ ( rp @ SV97 @ ( sK11_SY40 @ SV97 ) ) ) )
= $false )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(487,plain,
! [SV99: $i,SV98: $i,SV96: $i] :
( ( ( ! [SY108: $i] :
( ~ ( rp @ SV96 @ SV98 )
| ~ ( rp @ SV96 @ SV99 )
| ~ ( rp @ SV96 @ SY108 )
| ( SV99 = SY108 )
| ( SV98 = SV99 )
| ( SV98 = SY108 ) ) )
= $true )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(488,plain,
! [SV97: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV97 )
!= ( sK11_SY40 @ SV97 ) ) ) )
= $false )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(489,plain,
! [SV97: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV97 @ ( sK10_Y0 @ SV97 ) )
| ~ ( rp @ SV97 @ ( sK11_SY40 @ SV97 ) ) ) )
= $false )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(490,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV96: $i] :
( ( ( ~ ( rp @ SV96 @ SV98 )
| ~ ( rp @ SV96 @ SV99 )
| ~ ( rp @ SV96 @ SV100 )
| ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(491,plain,
! [SV97: $i] :
( ( ( ( sK10_Y0 @ SV97 )
!= ( sK11_SY40 @ SV97 ) )
= $true )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(492,plain,
! [SV97: $i] :
( ( ( ~ ( ~ ( rp @ SV97 @ ( sK10_Y0 @ SV97 ) )
| ~ ( rp @ SV97 @ ( sK11_SY40 @ SV97 ) ) ) )
= $true )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(493,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV96: $i] :
( ( ( ~ ( rp @ SV96 @ SV98 )
| ~ ( rp @ SV96 @ SV99 )
| ~ ( rp @ SV96 @ SV100 ) )
= $true )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(494,plain,
! [SV97: $i] :
( ( ( ( sK10_Y0 @ SV97 )
= ( sK11_SY40 @ SV97 ) )
= $false )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(495,plain,
! [SV97: $i] :
( ( ( ~ ( rp @ SV97 @ ( sK10_Y0 @ SV97 ) )
| ~ ( rp @ SV97 @ ( sK11_SY40 @ SV97 ) ) )
= $false )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(496,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV96: $i] :
( ( ( ~ ( rp @ SV96 @ SV98 )
| ~ ( rp @ SV96 @ SV99 ) )
= $true )
| ( ( ~ ( rp @ SV96 @ SV100 ) )
= $true )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(497,plain,
! [SV97: $i] :
( ( ( ~ ( rp @ SV97 @ ( sK10_Y0 @ SV97 ) ) )
= $false )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(498,plain,
! [SV97: $i] :
( ( ( ~ ( rp @ SV97 @ ( sK11_SY40 @ SV97 ) ) )
= $false )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(499,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV96: $i] :
( ( ( ~ ( rp @ SV96 @ SV98 ) )
= $true )
| ( ( ~ ( rp @ SV96 @ SV99 ) )
= $true )
| ( ( ~ ( rp @ SV96 @ SV100 ) )
= $true )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(500,plain,
! [SV97: $i] :
( ( ( rp @ SV97 @ ( sK10_Y0 @ SV97 ) )
= $true )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(501,plain,
! [SV97: $i] :
( ( ( rp @ SV97 @ ( sK11_SY40 @ SV97 ) )
= $true )
| ( ( cc @ SV97 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(502,plain,
! [SV100: $i,SV99: $i,SV98: $i,SV96: $i] :
( ( ( rp @ SV96 @ SV98 )
= $false )
| ( ( ~ ( rp @ SV96 @ SV99 ) )
= $true )
| ( ( ~ ( rp @ SV96 @ SV100 ) )
= $true )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(503,plain,
! [SV100: $i,SV98: $i,SV99: $i,SV96: $i] :
( ( ( rp @ SV96 @ SV99 )
= $false )
| ( ( rp @ SV96 @ SV98 )
= $false )
| ( ( ~ ( rp @ SV96 @ SV100 ) )
= $true )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(504,plain,
! [SV99: $i,SV98: $i,SV100: $i,SV96: $i] :
( ( ( rp @ SV96 @ SV100 )
= $false )
| ( ( rp @ SV96 @ SV98 )
= $false )
| ( ( rp @ SV96 @ SV99 )
= $false )
| ( ( ( SV99 = SV100 )
| ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(505,plain,
! [SV96: $i,SV98: $i,SV100: $i,SV99: $i] :
( ( ( SV99 = SV100 )
= $true )
| ( ( ( SV98 = SV99 )
| ( SV98 = SV100 ) )
= $true )
| ( ( rp @ SV96 @ SV99 )
= $false )
| ( ( rp @ SV96 @ SV98 )
= $false )
| ( ( rp @ SV96 @ SV100 )
= $false )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(506,plain,
! [SV96: $i,SV100: $i,SV99: $i,SV98: $i] :
( ( ( SV98 = SV99 )
= $true )
| ( ( SV98 = SV100 )
= $true )
| ( ( SV99 = SV100 )
= $true )
| ( ( rp @ SV96 @ SV99 )
= $false )
| ( ( rp @ SV96 @ SV98 )
= $false )
| ( ( rp @ SV96 @ SV100 )
= $false )
| ( ( cc @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(507,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[452,506,501,500,494,484,483,482,478,477,474,473,472,469,467,457,456]) ).
thf(508,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cc @ A )
| ( cc @ B ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(509,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(510,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(511,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(512,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(513,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(514,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(515,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(516,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(517,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_SY40 @ X ) )
& ( rp @ X @ ( sK10_Y0 @ X ) )
& ( rp @ X @ ( sK11_SY40 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(518,plain,
( ( ( cc @ sK5_X )
& ( sK9_REN
| ! [SY35: $i,SY36: $i] :
( ( SY35 = SY36 )
| ~ ( rp @ sK5_X @ SY35 )
| ~ ( rp @ sK5_X @ SY36 ) ) )
& ( sK9_REN
=> ( ( rp @ sK5_X @ sK6_SY32 )
& ( rp @ sK5_X @ sK7_SY37 )
& ( rp @ sK5_X @ sK8_SY39 )
& ( sK7_SY37 != sK8_SY39 )
& ( sK6_SY32 != sK7_SY37 )
& ( sK6_SY32 != sK8_SY39 ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(519,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(520,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_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(521,plain,
( ( ~ ( ~ ( cc @ sK5_X )
| ~ ~ ( ~ ( sK9_REN
| ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK5_X @ SX0 )
| ~ ( rp @ sK5_X @ SX1 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(522,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(523,plain,
! [SV101: $i] :
( ( ! [SY109: $i] :
( ( SV101 != SY109 )
| ~ ( cc @ SV101 )
| ( cc @ SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(524,plain,
! [SV102: $i] :
( ( ! [SY110: $i] :
( ( SV102 != SY110 )
| ~ ( cowlNothing @ SV102 )
| ( cowlNothing @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(525,plain,
! [SV103: $i] :
( ( ! [SY111: $i] :
( ( SV103 != SY111 )
| ~ ( cowlThing @ SV103 )
| ( cowlThing @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(526,plain,
! [SV104: $i] :
( ( ! [SY112: $i,SY113: $i] :
( ( SV104 != SY112 )
| ~ ( rp @ SV104 @ SY113 )
| ( rp @ SY112 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(527,plain,
! [SV105: $i] :
( ( ! [SY114: $i,SY115: $i] :
( ( SV105 != SY114 )
| ~ ( rp @ SY115 @ SV105 )
| ( rp @ SY115 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(528,plain,
! [SV106: $i] :
( ( ! [SY116: $i] :
( ( SV106 != SY116 )
| ~ ( xsd_integer @ SV106 )
| ( xsd_integer @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(529,plain,
! [SV107: $i] :
( ( ! [SY117: $i] :
( ( SV107 != SY117 )
| ~ ( xsd_string @ SV107 )
| ( xsd_string @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(530,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(531,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_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(532,plain,
( ( ~ ( cc @ sK5_X )
| ~ ~ ( ~ ( sK9_REN
| ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK5_X @ SX0 )
| ~ ( rp @ sK5_X @ SX1 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(533,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(534,plain,
! [SV108: $i,SV101: $i] :
( ( ( SV101 != SV108 )
| ~ ( cc @ SV101 )
| ( cc @ SV108 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(535,plain,
! [SV109: $i,SV102: $i] :
( ( ( SV102 != SV109 )
| ~ ( cowlNothing @ SV102 )
| ( cowlNothing @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(536,plain,
! [SV110: $i,SV103: $i] :
( ( ( SV103 != SV110 )
| ~ ( cowlThing @ SV103 )
| ( cowlThing @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(537,plain,
! [SV111: $i,SV104: $i] :
( ( ! [SY118: $i] :
( ( SV104 != SV111 )
| ~ ( rp @ SV104 @ SY118 )
| ( rp @ SV111 @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(538,plain,
! [SV112: $i,SV105: $i] :
( ( ! [SY119: $i] :
( ( SV105 != SV112 )
| ~ ( rp @ SY119 @ SV105 )
| ( rp @ SY119 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(539,plain,
! [SV113: $i,SV106: $i] :
( ( ( SV106 != SV113 )
| ~ ( xsd_integer @ SV106 )
| ( xsd_integer @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(540,plain,
! [SV114: $i,SV107: $i] :
( ( ( SV107 != SV114 )
| ~ ( xsd_string @ SV107 )
| ( xsd_string @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(541,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(542,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(543,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)],[531]) ).
thf(544,plain,
( ( ~ ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(545,plain,
( ( ~ ( cc @ sK5_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(546,plain,
( ( ~ ~ ( ~ ( sK9_REN
| ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK5_X @ SX0 )
| ~ ( rp @ sK5_X @ SX1 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[532]) ).
thf(547,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(548,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[533]) ).
thf(549,plain,
! [SV108: $i,SV101: $i] :
( ( ( ( SV101 != SV108 )
| ~ ( cc @ SV101 ) )
= $true )
| ( ( cc @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(550,plain,
! [SV109: $i,SV102: $i] :
( ( ( ( SV102 != SV109 )
| ~ ( cowlNothing @ SV102 ) )
= $true )
| ( ( cowlNothing @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(551,plain,
! [SV110: $i,SV103: $i] :
( ( ( ( SV103 != SV110 )
| ~ ( cowlThing @ SV103 ) )
= $true )
| ( ( cowlThing @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(552,plain,
! [SV115: $i,SV111: $i,SV104: $i] :
( ( ( SV104 != SV111 )
| ~ ( rp @ SV104 @ SV115 )
| ( rp @ SV111 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(553,plain,
! [SV116: $i,SV112: $i,SV105: $i] :
( ( ( SV105 != SV112 )
| ~ ( rp @ SV116 @ SV105 )
| ( rp @ SV116 @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(554,plain,
! [SV113: $i,SV106: $i] :
( ( ( ( SV106 != SV113 )
| ~ ( xsd_integer @ SV106 ) )
= $true )
| ( ( xsd_integer @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(555,plain,
! [SV114: $i,SV107: $i] :
( ( ( ( SV107 != SV114 )
| ~ ( xsd_string @ SV107 ) )
= $true )
| ( ( xsd_string @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(556,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(557,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(558,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)],[543]) ).
thf(559,plain,
( ( ! [SX0: $i] :
( ~ ( cc @ SX0 )
| ~ ( ~ ( ( ( sK10_Y0 @ SX0 )
!= ( sK11_SY40 @ SX0 ) ) )
| ~ ~ ( ~ ( rp @ SX0 @ ( sK10_Y0 @ SX0 ) )
| ~ ( rp @ SX0 @ ( sK11_SY40 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(560,plain,
( ( cc @ sK5_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(561,plain,
( ( ~ ( ~ ( sK9_REN
| ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK5_X @ SX0 )
| ~ ( rp @ sK5_X @ SX1 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(562,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(563,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(564,plain,
! [SV108: $i,SV101: $i] :
( ( ( SV101 != SV108 )
= $true )
| ( ( ~ ( cc @ SV101 ) )
= $true )
| ( ( cc @ SV108 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(565,plain,
! [SV109: $i,SV102: $i] :
( ( ( SV102 != SV109 )
= $true )
| ( ( ~ ( cowlNothing @ SV102 ) )
= $true )
| ( ( cowlNothing @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(566,plain,
! [SV110: $i,SV103: $i] :
( ( ( SV103 != SV110 )
= $true )
| ( ( ~ ( cowlThing @ SV103 ) )
= $true )
| ( ( cowlThing @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(567,plain,
! [SV115: $i,SV111: $i,SV104: $i] :
( ( ( ( SV104 != SV111 )
| ~ ( rp @ SV104 @ SV115 ) )
= $true )
| ( ( rp @ SV111 @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(568,plain,
! [SV116: $i,SV112: $i,SV105: $i] :
( ( ( ( SV105 != SV112 )
| ~ ( rp @ SV116 @ SV105 ) )
= $true )
| ( ( rp @ SV116 @ SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(569,plain,
! [SV113: $i,SV106: $i] :
( ( ( SV106 != SV113 )
= $true )
| ( ( ~ ( xsd_integer @ SV106 ) )
= $true )
| ( ( xsd_integer @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(570,plain,
! [SV114: $i,SV107: $i] :
( ( ( SV107 != SV114 )
= $true )
| ( ( ~ ( xsd_string @ SV107 ) )
= $true )
| ( ( xsd_string @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(571,plain,
! [SV117: $i] :
( ( cowlThing @ SV117 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(572,plain,
! [SV118: $i] :
( ( ~ ( cowlNothing @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(573,plain,
! [SV119: $i] :
( ( ~ ( cc @ SV119 )
| ! [SY120: $i,SY121: $i,SY122: $i] :
( ~ ( rp @ SV119 @ SY120 )
| ~ ( rp @ SV119 @ SY121 )
| ~ ( rp @ SV119 @ SY122 )
| ( SY121 = SY122 )
| ( SY120 = SY121 )
| ( SY120 = SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(574,plain,
! [SV120: $i] :
( ( ~ ( cc @ SV120 )
| ~ ( ~ ( ( ( sK10_Y0 @ SV120 )
!= ( sK11_SY40 @ SV120 ) ) )
| ~ ~ ( ~ ( rp @ SV120 @ ( sK10_Y0 @ SV120 ) )
| ~ ( rp @ SV120 @ ( sK11_SY40 @ SV120 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(575,plain,
( ( ~ ( sK9_REN
| ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK5_X @ SX0 )
| ~ ( rp @ sK5_X @ SX1 ) ) )
| ~ ( ~ sK9_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(576,plain,
! [SV121: $i] :
( ( ~ ( xsd_string @ SV121 )
| ~ ( xsd_integer @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(577,plain,
! [SV122: $i] :
( ( ( xsd_integer @ SV122 )
| ( xsd_string @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(578,plain,
! [SV108: $i,SV101: $i] :
( ( ( SV101 = SV108 )
= $false )
| ( ( ~ ( cc @ SV101 ) )
= $true )
| ( ( cc @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(579,plain,
! [SV109: $i,SV102: $i] :
( ( ( SV102 = SV109 )
= $false )
| ( ( ~ ( cowlNothing @ SV102 ) )
= $true )
| ( ( cowlNothing @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(580,plain,
! [SV110: $i,SV103: $i] :
( ( ( SV103 = SV110 )
= $false )
| ( ( ~ ( cowlThing @ SV103 ) )
= $true )
| ( ( cowlThing @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(581,plain,
! [SV115: $i,SV111: $i,SV104: $i] :
( ( ( SV104 != SV111 )
= $true )
| ( ( ~ ( rp @ SV104 @ SV115 ) )
= $true )
| ( ( rp @ SV111 @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(582,plain,
! [SV116: $i,SV112: $i,SV105: $i] :
( ( ( SV105 != SV112 )
= $true )
| ( ( ~ ( rp @ SV116 @ SV105 ) )
= $true )
| ( ( rp @ SV116 @ SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(583,plain,
! [SV113: $i,SV106: $i] :
( ( ( SV106 = SV113 )
= $false )
| ( ( ~ ( xsd_integer @ SV106 ) )
= $true )
| ( ( xsd_integer @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(584,plain,
! [SV114: $i,SV107: $i] :
( ( ( SV107 = SV114 )
= $false )
| ( ( ~ ( xsd_string @ SV107 ) )
= $true )
| ( ( xsd_string @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(585,plain,
! [SV118: $i] :
( ( cowlNothing @ SV118 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(586,plain,
! [SV119: $i] :
( ( ( ~ ( cc @ SV119 ) )
= $true )
| ( ( ! [SY120: $i,SY121: $i,SY122: $i] :
( ~ ( rp @ SV119 @ SY120 )
| ~ ( rp @ SV119 @ SY121 )
| ~ ( rp @ SV119 @ SY122 )
| ( SY121 = SY122 )
| ( SY120 = SY121 )
| ( SY120 = SY122 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(587,plain,
! [SV120: $i] :
( ( ( ~ ( cc @ SV120 ) )
= $true )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV120 )
!= ( sK11_SY40 @ SV120 ) ) )
| ~ ~ ( ~ ( rp @ SV120 @ ( sK10_Y0 @ SV120 ) )
| ~ ( rp @ SV120 @ ( sK11_SY40 @ SV120 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(588,plain,
( ( ~ ( sK9_REN
| ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK5_X @ SX0 )
| ~ ( rp @ sK5_X @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(589,plain,
( ( ~ ( ~ sK9_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(590,plain,
! [SV121: $i] :
( ( ( ~ ( xsd_string @ SV121 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(591,plain,
! [SV122: $i] :
( ( ( xsd_integer @ SV122 )
= $true )
| ( ( xsd_string @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(592,plain,
! [SV108: $i,SV101: $i] :
( ( ( cc @ SV101 )
= $false )
| ( ( SV101 = SV108 )
= $false )
| ( ( cc @ SV108 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(593,plain,
! [SV109: $i,SV102: $i] :
( ( ( cowlNothing @ SV102 )
= $false )
| ( ( SV102 = SV109 )
= $false )
| ( ( cowlNothing @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(594,plain,
! [SV110: $i,SV103: $i] :
( ( ( cowlThing @ SV103 )
= $false )
| ( ( SV103 = SV110 )
= $false )
| ( ( cowlThing @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(595,plain,
! [SV115: $i,SV111: $i,SV104: $i] :
( ( ( SV104 = SV111 )
= $false )
| ( ( ~ ( rp @ SV104 @ SV115 ) )
= $true )
| ( ( rp @ SV111 @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(596,plain,
! [SV116: $i,SV112: $i,SV105: $i] :
( ( ( SV105 = SV112 )
= $false )
| ( ( ~ ( rp @ SV116 @ SV105 ) )
= $true )
| ( ( rp @ SV116 @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(597,plain,
! [SV113: $i,SV106: $i] :
( ( ( xsd_integer @ SV106 )
= $false )
| ( ( SV106 = SV113 )
= $false )
| ( ( xsd_integer @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(598,plain,
! [SV114: $i,SV107: $i] :
( ( ( xsd_string @ SV107 )
= $false )
| ( ( SV107 = SV114 )
= $false )
| ( ( xsd_string @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(599,plain,
! [SV119: $i] :
( ( ( cc @ SV119 )
= $false )
| ( ( ! [SY120: $i,SY121: $i,SY122: $i] :
( ~ ( rp @ SV119 @ SY120 )
| ~ ( rp @ SV119 @ SY121 )
| ~ ( rp @ SV119 @ SY122 )
| ( SY121 = SY122 )
| ( SY120 = SY121 )
| ( SY120 = SY122 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(600,plain,
! [SV120: $i] :
( ( ( cc @ SV120 )
= $false )
| ( ( ~ ( ~ ( ( ( sK10_Y0 @ SV120 )
!= ( sK11_SY40 @ SV120 ) ) )
| ~ ~ ( ~ ( rp @ SV120 @ ( sK10_Y0 @ SV120 ) )
| ~ ( rp @ SV120 @ ( sK11_SY40 @ SV120 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(601,plain,
( ( sK9_REN
| ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK5_X @ SX0 )
| ~ ( rp @ sK5_X @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(602,plain,
( ( ~ sK9_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(603,plain,
! [SV121: $i] :
( ( ( xsd_string @ SV121 )
= $false )
| ( ( ~ ( xsd_integer @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(604,plain,
! [SV111: $i,SV115: $i,SV104: $i] :
( ( ( rp @ SV104 @ SV115 )
= $false )
| ( ( SV104 = SV111 )
= $false )
| ( ( rp @ SV111 @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(605,plain,
! [SV112: $i,SV105: $i,SV116: $i] :
( ( ( rp @ SV116 @ SV105 )
= $false )
| ( ( SV105 = SV112 )
= $false )
| ( ( rp @ SV116 @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(606,plain,
! [SV123: $i,SV119: $i] :
( ( ( ! [SY123: $i,SY124: $i] :
( ~ ( rp @ SV119 @ SV123 )
| ~ ( rp @ SV119 @ SY123 )
| ~ ( rp @ SV119 @ SY124 )
| ( SY123 = SY124 )
| ( SV123 = SY123 )
| ( SV123 = SY124 ) ) )
= $true )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(607,plain,
! [SV120: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV120 )
!= ( sK11_SY40 @ SV120 ) ) )
| ~ ~ ( ~ ( rp @ SV120 @ ( sK10_Y0 @ SV120 ) )
| ~ ( rp @ SV120 @ ( sK11_SY40 @ SV120 ) ) ) )
= $false )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(608,plain,
( ( sK9_REN = $true )
| ( ( ! [SX0: $i,SX1: $i] :
( ( SX0 = SX1 )
| ~ ( rp @ sK5_X @ SX0 )
| ~ ( rp @ sK5_X @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(609,plain,
( ( ( ~ sK9_REN ) = $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(610,plain,
! [SV121: $i] :
( ( ( xsd_integer @ SV121 )
= $false )
| ( ( xsd_string @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(611,plain,
! [SV124: $i,SV123: $i,SV119: $i] :
( ( ( ! [SY125: $i] :
( ~ ( rp @ SV119 @ SV123 )
| ~ ( rp @ SV119 @ SV124 )
| ~ ( rp @ SV119 @ SY125 )
| ( SV124 = SY125 )
| ( SV123 = SV124 )
| ( SV123 = SY125 ) ) )
= $true )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(612,plain,
! [SV120: $i] :
( ( ( ~ ( ( ( sK10_Y0 @ SV120 )
!= ( sK11_SY40 @ SV120 ) ) ) )
= $false )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(613,plain,
! [SV120: $i] :
( ( ( ~ ~ ( ~ ( rp @ SV120 @ ( sK10_Y0 @ SV120 ) )
| ~ ( rp @ SV120 @ ( sK11_SY40 @ SV120 ) ) ) )
= $false )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[607]) ).
thf(614,plain,
! [SV125: $i] :
( ( ( ! [SY126: $i] :
( ( SV125 = SY126 )
| ~ ( rp @ sK5_X @ SV125 )
| ~ ( rp @ sK5_X @ SY126 ) ) )
= $true )
| ( sK9_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(615,plain,
( ( sK9_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(616,plain,
! [SV126: $i,SV124: $i,SV123: $i,SV119: $i] :
( ( ( ~ ( rp @ SV119 @ SV123 )
| ~ ( rp @ SV119 @ SV124 )
| ~ ( rp @ SV119 @ SV126 )
| ( SV124 = SV126 )
| ( SV123 = SV124 )
| ( SV123 = SV126 ) )
= $true )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(617,plain,
! [SV120: $i] :
( ( ( ( sK10_Y0 @ SV120 )
!= ( sK11_SY40 @ SV120 ) )
= $true )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(618,plain,
! [SV120: $i] :
( ( ( ~ ( ~ ( rp @ SV120 @ ( sK10_Y0 @ SV120 ) )
| ~ ( rp @ SV120 @ ( sK11_SY40 @ SV120 ) ) ) )
= $true )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(619,plain,
! [SV127: $i,SV125: $i] :
( ( ( ( SV125 = SV127 )
| ~ ( rp @ sK5_X @ SV125 )
| ~ ( rp @ sK5_X @ SV127 ) )
= $true )
| ( sK9_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(620,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(621,plain,
! [SV126: $i,SV124: $i,SV123: $i,SV119: $i] :
( ( ( ~ ( rp @ SV119 @ SV123 )
| ~ ( rp @ SV119 @ SV124 )
| ~ ( rp @ SV119 @ SV126 ) )
= $true )
| ( ( ( SV124 = SV126 )
| ( SV123 = SV124 )
| ( SV123 = SV126 ) )
= $true )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(622,plain,
! [SV120: $i] :
( ( ( ( sK10_Y0 @ SV120 )
= ( sK11_SY40 @ SV120 ) )
= $false )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(623,plain,
! [SV120: $i] :
( ( ( ~ ( rp @ SV120 @ ( sK10_Y0 @ SV120 ) )
| ~ ( rp @ SV120 @ ( sK11_SY40 @ SV120 ) ) )
= $false )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(624,plain,
! [SV127: $i,SV125: $i] :
( ( ( SV125 = SV127 )
= $true )
| ( ( ~ ( rp @ sK5_X @ SV125 )
| ~ ( rp @ sK5_X @ SV127 ) )
= $true )
| ( sK9_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(625,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(626,plain,
( ( ( ~ ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(627,plain,
! [SV126: $i,SV124: $i,SV123: $i,SV119: $i] :
( ( ( ~ ( rp @ SV119 @ SV123 )
| ~ ( rp @ SV119 @ SV124 ) )
= $true )
| ( ( ~ ( rp @ SV119 @ SV126 ) )
= $true )
| ( ( ( SV124 = SV126 )
| ( SV123 = SV124 )
| ( SV123 = SV126 ) )
= $true )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(628,plain,
! [SV120: $i] :
( ( ( ~ ( rp @ SV120 @ ( sK10_Y0 @ SV120 ) ) )
= $false )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(629,plain,
! [SV120: $i] :
( ( ( ~ ( rp @ SV120 @ ( sK11_SY40 @ SV120 ) ) )
= $false )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(630,plain,
! [SV127: $i,SV125: $i] :
( ( ( ~ ( rp @ sK5_X @ SV125 ) )
= $true )
| ( ( ~ ( rp @ sK5_X @ SV127 ) )
= $true )
| ( ( SV125 = SV127 )
= $true )
| ( sK9_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(631,plain,
( ( ( ~ ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) ) )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(632,plain,
( ( ( ~ ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) ) )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(633,plain,
! [SV126: $i,SV124: $i,SV123: $i,SV119: $i] :
( ( ( ~ ( rp @ SV119 @ SV123 ) )
= $true )
| ( ( ~ ( rp @ SV119 @ SV124 ) )
= $true )
| ( ( ~ ( rp @ SV119 @ SV126 ) )
= $true )
| ( ( ( SV124 = SV126 )
| ( SV123 = SV124 )
| ( SV123 = SV126 ) )
= $true )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(634,plain,
! [SV120: $i] :
( ( ( rp @ SV120 @ ( sK10_Y0 @ SV120 ) )
= $true )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(635,plain,
! [SV120: $i] :
( ( ( rp @ SV120 @ ( sK11_SY40 @ SV120 ) )
= $true )
| ( ( cc @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(636,plain,
! [SV127: $i,SV125: $i] :
( ( ( rp @ sK5_X @ SV125 )
= $false )
| ( ( ~ ( rp @ sK5_X @ SV127 ) )
= $true )
| ( ( SV125 = SV127 )
= $true )
| ( sK9_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(637,plain,
( ( ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
| ~ ( rp @ sK5_X @ sK8_SY39 ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(638,plain,
( ( ( ~ ( ( sK7_SY37 != sK8_SY39 ) )
| ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(639,plain,
! [SV126: $i,SV124: $i,SV123: $i,SV119: $i] :
( ( ( rp @ SV119 @ SV123 )
= $false )
| ( ( ~ ( rp @ SV119 @ SV124 ) )
= $true )
| ( ( ~ ( rp @ SV119 @ SV126 ) )
= $true )
| ( ( ( SV124 = SV126 )
| ( SV123 = SV124 )
| ( SV123 = SV126 ) )
= $true )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(640,plain,
! [SV125: $i,SV127: $i] :
( ( ( rp @ sK5_X @ SV127 )
= $false )
| ( ( rp @ sK5_X @ SV125 )
= $false )
| ( ( SV125 = SV127 )
= $true )
| ( sK9_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(641,plain,
( ( ( ~ ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[637]) ).
thf(642,plain,
( ( ( ~ ( rp @ sK5_X @ sK8_SY39 ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[637]) ).
thf(643,plain,
( ( ( ~ ( ( sK7_SY37 != sK8_SY39 ) ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(644,plain,
( ( ( ~ ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(645,plain,
! [SV126: $i,SV123: $i,SV124: $i,SV119: $i] :
( ( ( rp @ SV119 @ SV124 )
= $false )
| ( ( rp @ SV119 @ SV123 )
= $false )
| ( ( ~ ( rp @ SV119 @ SV126 ) )
= $true )
| ( ( ( SV124 = SV126 )
| ( SV123 = SV124 )
| ( SV123 = SV126 ) )
= $true )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(646,plain,
( ( ( ~ ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) ) )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(647,plain,
( ( ( rp @ sK5_X @ sK8_SY39 )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(648,plain,
( ( ( sK7_SY37 != sK8_SY39 )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(649,plain,
( ( ( ~ ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) ) )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(650,plain,
! [SV124: $i,SV123: $i,SV126: $i,SV119: $i] :
( ( ( rp @ SV119 @ SV126 )
= $false )
| ( ( rp @ SV119 @ SV123 )
= $false )
| ( ( rp @ SV119 @ SV124 )
= $false )
| ( ( ( SV124 = SV126 )
| ( SV123 = SV124 )
| ( SV123 = SV126 ) )
= $true )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(651,plain,
( ( ( ~ ( rp @ sK5_X @ sK6_SY32 )
| ~ ( rp @ sK5_X @ sK7_SY37 ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(652,plain,
( ( ( sK7_SY37 = sK8_SY39 )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(653,plain,
( ( ( ~ ( ( sK6_SY32 != sK7_SY37 ) )
| ~ ( ( sK6_SY32 != sK8_SY39 ) ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(654,plain,
! [SV119: $i,SV123: $i,SV126: $i,SV124: $i] :
( ( ( SV124 = SV126 )
= $true )
| ( ( ( SV123 = SV124 )
| ( SV123 = SV126 ) )
= $true )
| ( ( rp @ SV119 @ SV124 )
= $false )
| ( ( rp @ SV119 @ SV123 )
= $false )
| ( ( rp @ SV119 @ SV126 )
= $false )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(655,plain,
( ( ( ~ ( rp @ sK5_X @ sK6_SY32 ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(656,plain,
( ( ( ~ ( rp @ sK5_X @ sK7_SY37 ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[651]) ).
thf(657,plain,
( ( ( ~ ( ( sK6_SY32 != sK7_SY37 ) ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(658,plain,
( ( ( ~ ( ( sK6_SY32 != sK8_SY39 ) ) )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(659,plain,
! [SV119: $i,SV126: $i,SV124: $i,SV123: $i] :
( ( ( SV123 = SV124 )
= $true )
| ( ( SV123 = SV126 )
= $true )
| ( ( SV124 = SV126 )
= $true )
| ( ( rp @ SV119 @ SV124 )
= $false )
| ( ( rp @ SV119 @ SV123 )
= $false )
| ( ( rp @ SV119 @ SV126 )
= $false )
| ( ( cc @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(660,plain,
( ( ( rp @ sK5_X @ sK6_SY32 )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[655]) ).
thf(661,plain,
( ( ( rp @ sK5_X @ sK7_SY37 )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[656]) ).
thf(662,plain,
( ( ( sK6_SY32 != sK7_SY37 )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(663,plain,
( ( ( sK6_SY32 != sK8_SY39 )
= $true )
| ( sK9_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(664,plain,
( ( ( sK6_SY32 = sK7_SY37 )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(665,plain,
( ( ( sK6_SY32 = sK8_SY39 )
= $false )
| ( sK9_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(666,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[560,665,664,661,660,659,652,647,640,635,634,622,610,605,604,598,597,594,593,592,591,585,571]) ).
thf(667,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[666,160,271,388,507]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS145+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.15 % Computer : n014.cluster.edu
% 0.08/0.15 % Model : x86_64 x86_64
% 0.08/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.15 % Memory : 8046.5625MB
% 0.08/0.15 % OS : Linux 6.8.0-71-generic
% 0.08/0.15 % CPULimit : 300
% 0.08/0.15 % WCLimit : 300
% 0.08/0.15 % DateTime : Tue Oct 6 11:41:41 UTC 2026
% 0.08/0.15 % CPUTime :
% 0.08/0.15 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.81/0.47
% 1.81/0.47 No.of.Axioms: 10
% 1.81/0.47
% 1.81/0.47 Length.of.Defs: 0
% 1.81/0.47
% 1.81/0.47 Contains.Choice.Funs: false
% 1.81/0.47 ...............
% 1.81/0.47
% 1.81/0.47 ********************************
% 1.81/0.47 * All subproblems solved! *
% 1.81/0.47 ********************************
% 1.81/0.47 % 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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:666,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.81/0.47
% 1.81/0.47 %**** Beginning of derivation protocol ****
% 1.81/0.47 % SZS output start CNFRefutation
% See solution above
% 1.81/0.48
% 1.81/0.48 %**** End of derivation protocol ****
% 1.81/0.48 %**** no. of clauses in derivation: 667 ****
% 1.81/0.48 %**** clause counter: 666 ****
% 1.81/0.48
% 1.81/0.48 % 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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:666,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------