TSTP Solution File: KRS162+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : KRS162+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 03:15:47 EDT 2022
% Result : Theorem 0.45s 0.66s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 39
% Syntax : Number of formulae : 884 ( 511 unt; 19 typ; 0 def)
% Number of atoms : 5796 (2431 equ; 0 cnn)
% Maximal formula atoms : 28 ( 6 avg)
% Number of connectives : 6384 (1653 ~;1676 |; 181 &;2828 @)
% ( 5 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 1854 ( 0 ^1804 !; 50 ?;1854 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cA,type,
cA: $i > $o ).
thf(tp_cB,type,
cB: $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_rq,type,
rq: $i > $i > $o ).
thf(tp_rr,type,
rr: $i > $i > $o ).
thf(tp_sK10_SY67,type,
sK10_SY67: $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_SY56,type,
sK6_SY56: $i ).
thf(tp_sK7_SY64,type,
sK7_SY64: $i ).
thf(tp_sK8_SY66,type,
sK8_SY66: $i ).
thf(tp_sK9_SY54,type,
sK9_SY54: $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( rp @ X @ Y )
=> ( rr @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ( rq @ X @ Y )
=> ( rr @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(3,axiom,
! [X: $i] :
~ ( ( cB @ X )
& ( cA @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( rq @ X @ Y )
=> ( cB @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( rp @ X @ Y )
=> ( cA @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
thf(6,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(7,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(8,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(9,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(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_2) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rr_substitution_1) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rq @ C @ A ) )
=> ( rq @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rq_substitution_2) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rq @ A @ C ) )
=> ( rq @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rq_substitution_1) ).
thf(14,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(15,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(16,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlThing_substitution_1) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cowlNothing_substitution_1) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cB @ A ) )
=> ( cB @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cB_substitution_1) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( ( A = B )
& ( cA @ A ) )
=> ( cA @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cA_substitution_1) ).
thf(20,conjecture,
( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) )
& ? [Y0: $i,Y1: $i,Y2: $i] :
( ( rq @ X @ Y0 )
& ( rq @ X @ Y1 )
& ( rq @ X @ Y2 )
& ( Y0 != Y1 )
& ( Y0 != Y2 )
& ( Y1 != Y2 ) ) )
=> ? [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 )
& ( rr @ X @ Y2 )
& ( rr @ X @ Y3 )
& ( rr @ X @ Y4 )
& ( Y0 != Y1 )
& ( Y0 != Y2 )
& ( Y0 != Y3 )
& ( Y0 != Y4 )
& ( Y1 != Y2 )
& ( Y1 != Y3 )
& ( Y1 != Y4 )
& ( Y2 != Y3 )
& ( Y2 != Y4 )
& ( Y3 != Y4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(21,negated_conjecture,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) )
& ? [Y0: $i,Y1: $i,Y2: $i] :
( ( rq @ X @ Y0 )
& ( rq @ X @ Y1 )
& ( rq @ X @ Y2 )
& ( Y0 != Y1 )
& ( Y0 != Y2 )
& ( Y1 != Y2 ) ) )
=> ? [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 )
& ( rr @ X @ Y2 )
& ( rr @ X @ Y3 )
& ( rr @ X @ Y4 )
& ( Y0 != Y1 )
& ( Y0 != Y2 )
& ( Y0 != Y3 )
& ( Y0 != Y4 )
& ( Y1 != Y2 )
& ( Y1 != Y3 )
& ( Y1 != Y4 )
& ( Y2 != Y3 )
& ( Y2 != Y4 )
& ( Y3 != Y4 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[20]) ).
thf(22,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) )
& ? [Y0: $i,Y1: $i,Y2: $i] :
( ( rq @ X @ Y0 )
& ( rq @ X @ Y1 )
& ( rq @ X @ Y2 )
& ( Y0 != Y1 )
& ( Y0 != Y2 )
& ( Y1 != Y2 ) ) )
=> ? [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 )
& ( rr @ X @ Y2 )
& ( rr @ X @ Y3 )
& ( rr @ X @ Y4 )
& ( Y0 != Y1 )
& ( Y0 != Y2 )
& ( Y0 != Y3 )
& ( Y0 != Y4 )
& ( Y1 != Y2 )
& ( Y1 != Y3 )
& ( Y1 != Y4 )
& ( Y2 != Y3 )
& ( Y2 != Y4 )
& ( Y3 != Y4 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[21]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i] :
( ( rp @ X @ Y )
=> ( rr @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i] :
( ( rq @ X @ Y )
=> ( rr @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(25,plain,
( ( ! [X: $i] :
~ ( ( cB @ X )
& ( cA @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ( rq @ X @ Y )
=> ( cB @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
( ( rp @ X @ Y )
=> ( cA @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(28,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(29,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(30,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_string @ A ) )
=> ( xsd_string @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(31,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( xsd_integer @ A ) )
=> ( xsd_integer @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(32,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ C @ A ) )
=> ( rr @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(33,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rr @ A @ C ) )
=> ( rr @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(34,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rq @ C @ A ) )
=> ( rq @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(35,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rq @ A @ C ) )
=> ( rq @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(36,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rp @ C @ A ) )
=> ( rp @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(37,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ( A = B )
& ( rp @ A @ C ) )
=> ( rp @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(38,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlThing @ A ) )
=> ( cowlThing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(39,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cowlNothing @ A ) )
=> ( cowlNothing @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(40,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cB @ A ) )
=> ( cB @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(41,plain,
( ( ! [A: $i,B: $i] :
( ( ( A = B )
& ( cA @ A ) )
=> ( cA @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(42,plain,
( ( ! [X: $i] : ( cowlThing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[22]) ).
thf(43,plain,
( ( ! [X: $i] :
~ ( cowlNothing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[22]) ).
thf(44,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[22]) ).
thf(45,plain,
( ( ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[22]) ).
thf(46,plain,
( ( ! [X: $i] :
( ( ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) )
& ? [Y0: $i,Y1: $i,Y2: $i] :
( ( rq @ X @ Y0 )
& ( rq @ X @ Y1 )
& ( rq @ X @ Y2 )
& ( Y0 != Y1 )
& ( Y0 != Y2 )
& ( Y1 != Y2 ) ) )
=> ? [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 )
& ( rr @ X @ Y2 )
& ( rr @ X @ Y3 )
& ( rr @ X @ Y4 )
& ( Y0 != Y1 )
& ( Y0 != Y2 )
& ( Y0 != Y3 )
& ( Y0 != Y4 )
& ( Y1 != Y2 )
& ( Y1 != Y3 )
& ( Y1 != Y4 )
& ( Y2 != Y3 )
& ( Y2 != Y4 )
& ( Y3 != Y4 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[22]) ).
thf(47,plain,
( ( ~ ! [X: $i] : ( cowlThing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[42]) ).
thf(48,plain,
( ( ~ ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[43]) ).
thf(49,plain,
( ( ~ ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[44]) ).
thf(50,plain,
( ( ~ ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[45]) ).
thf(51,plain,
( ( ~ ! [X: $i] :
( ( ? [Y0: $i,Y1: $i] :
( ( rp @ X @ Y0 )
& ( rp @ X @ Y1 )
& ( Y0 != Y1 ) )
& ? [Y0: $i,Y1: $i,Y2: $i] :
( ( rq @ X @ Y0 )
& ( rq @ X @ Y1 )
& ( rq @ X @ Y2 )
& ( Y0 != Y1 )
& ( Y0 != Y2 )
& ( Y1 != Y2 ) ) )
=> ? [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( rr @ X @ Y0 )
& ( rr @ X @ Y1 )
& ( rr @ X @ Y2 )
& ( rr @ X @ Y3 )
& ( rr @ X @ Y4 )
& ( Y0 != Y1 )
& ( Y0 != Y2 )
& ( Y0 != Y3 )
& ( Y0 != Y4 )
& ( Y1 != Y2 )
& ( Y1 != Y3 )
& ( Y1 != Y4 )
& ( Y2 != Y3 )
& ( Y2 != Y4 )
& ( Y3 != Y4 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[46]) ).
thf(52,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(53,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(54,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(55,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(56,plain,
( ( ( sK9_SY54 != sK10_SY67 )
& ( rp @ sK5_X @ sK9_SY54 )
& ( rp @ sK5_X @ sK10_SY67 )
& ( sK7_SY64 != sK8_SY66 )
& ( sK6_SY56 != sK8_SY66 )
& ( sK6_SY56 != sK7_SY64 )
& ( rq @ sK5_X @ sK6_SY56 )
& ( rq @ sK5_X @ sK7_SY64 )
& ( rq @ sK5_X @ sK8_SY66 )
& ! [SY59: $i,SY60: $i,SY61: $i,SY62: $i,SY63: $i] :
( ( SY62 = SY63 )
| ( SY61 = SY63 )
| ( SY61 = SY62 )
| ( SY60 = SY63 )
| ( SY60 = SY62 )
| ( SY60 = SY61 )
| ( SY59 = SY63 )
| ( SY59 = SY62 )
| ( SY59 = SY61 )
| ( SY59 = SY60 )
| ~ ( rr @ sK5_X @ SY59 )
| ~ ( rr @ sK5_X @ SY60 )
| ~ ( rr @ sK5_X @ SY61 )
| ~ ( rr @ sK5_X @ SY62 )
| ~ ( rr @ sK5_X @ SY63 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(59,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ~ ( cB @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(60,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( cB @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(62,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[28]) ).
thf(63,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(64,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(65,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(66,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(67,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(68,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[34]) ).
thf(69,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(70,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[36]) ).
thf(71,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(72,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(73,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(74,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cB @ A )
| ( cB @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(75,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(76,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(77,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cB @ A )
| ( cB @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(78,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(79,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(80,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(81,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(82,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(83,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(84,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(85,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(86,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(87,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(88,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(89,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(90,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(91,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( cB @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(92,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ~ ( cB @ X ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(93,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(94,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(95,plain,
( ( ~ ( cowlThing @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(96,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(97,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(98,plain,
! [SV1: $i] :
( ( ! [SY68: $i] :
( ( SV1 != SY68 )
| ~ ( cA @ SV1 )
| ( cA @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(99,plain,
! [SV2: $i] :
( ( ! [SY69: $i] :
( ( SV2 != SY69 )
| ~ ( cB @ SV2 )
| ( cB @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(100,plain,
! [SV3: $i] :
( ( ! [SY70: $i] :
( ( SV3 != SY70 )
| ~ ( cowlNothing @ SV3 )
| ( cowlNothing @ SY70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(101,plain,
! [SV4: $i] :
( ( ! [SY71: $i] :
( ( SV4 != SY71 )
| ~ ( cowlThing @ SV4 )
| ( cowlThing @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(102,plain,
! [SV5: $i] :
( ( ! [SY72: $i,SY73: $i] :
( ( SV5 != SY72 )
| ~ ( rp @ SV5 @ SY73 )
| ( rp @ SY72 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(103,plain,
! [SV6: $i] :
( ( ! [SY74: $i,SY75: $i] :
( ( SV6 != SY74 )
| ~ ( rp @ SY75 @ SV6 )
| ( rp @ SY75 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(104,plain,
! [SV7: $i] :
( ( ! [SY76: $i,SY77: $i] :
( ( SV7 != SY76 )
| ~ ( rq @ SV7 @ SY77 )
| ( rq @ SY76 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(105,plain,
! [SV8: $i] :
( ( ! [SY78: $i,SY79: $i] :
( ( SV8 != SY78 )
| ~ ( rq @ SY79 @ SV8 )
| ( rq @ SY79 @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(106,plain,
! [SV9: $i] :
( ( ! [SY80: $i,SY81: $i] :
( ( SV9 != SY80 )
| ~ ( rr @ SV9 @ SY81 )
| ( rr @ SY80 @ SY81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(107,plain,
! [SV10: $i] :
( ( ! [SY82: $i,SY83: $i] :
( ( SV10 != SY82 )
| ~ ( rr @ SY83 @ SV10 )
| ( rr @ SY83 @ SY82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(108,plain,
! [SV11: $i] :
( ( ! [SY84: $i] :
( ( SV11 != SY84 )
| ~ ( xsd_integer @ SV11 )
| ( xsd_integer @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(109,plain,
! [SV12: $i] :
( ( ! [SY85: $i] :
( ( SV12 != SY85 )
| ~ ( xsd_string @ SV12 )
| ( xsd_string @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(110,plain,
! [SV13: $i] :
( ( ! [SY86: $i] :
( ~ ( rp @ SV13 @ SY86 )
| ( cA @ SY86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(111,plain,
! [SV14: $i] :
( ( ! [SY87: $i] :
( ~ ( rq @ SV14 @ SY87 )
| ( cB @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(112,plain,
! [SV15: $i] :
( ( ~ ( cA @ SV15 )
| ~ ( cB @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(113,plain,
! [SV16: $i] :
( ( ! [SY88: $i] :
( ~ ( rq @ SV16 @ SY88 )
| ( rr @ SV16 @ SY88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(114,plain,
! [SV17: $i] :
( ( ! [SY89: $i] :
( ~ ( rp @ SV17 @ SY89 )
| ( rr @ SV17 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(115,plain,
( ( cowlThing @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(116,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(117,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(118,plain,
! [SV18: $i,SV1: $i] :
( ( ( SV1 != SV18 )
| ~ ( cA @ SV1 )
| ( cA @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(119,plain,
! [SV19: $i,SV2: $i] :
( ( ( SV2 != SV19 )
| ~ ( cB @ SV2 )
| ( cB @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(120,plain,
! [SV20: $i,SV3: $i] :
( ( ( SV3 != SV20 )
| ~ ( cowlNothing @ SV3 )
| ( cowlNothing @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(121,plain,
! [SV21: $i,SV4: $i] :
( ( ( SV4 != SV21 )
| ~ ( cowlThing @ SV4 )
| ( cowlThing @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(122,plain,
! [SV22: $i,SV5: $i] :
( ( ! [SY90: $i] :
( ( SV5 != SV22 )
| ~ ( rp @ SV5 @ SY90 )
| ( rp @ SV22 @ SY90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(123,plain,
! [SV23: $i,SV6: $i] :
( ( ! [SY91: $i] :
( ( SV6 != SV23 )
| ~ ( rp @ SY91 @ SV6 )
| ( rp @ SY91 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(124,plain,
! [SV24: $i,SV7: $i] :
( ( ! [SY92: $i] :
( ( SV7 != SV24 )
| ~ ( rq @ SV7 @ SY92 )
| ( rq @ SV24 @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(125,plain,
! [SV25: $i,SV8: $i] :
( ( ! [SY93: $i] :
( ( SV8 != SV25 )
| ~ ( rq @ SY93 @ SV8 )
| ( rq @ SY93 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(126,plain,
! [SV26: $i,SV9: $i] :
( ( ! [SY94: $i] :
( ( SV9 != SV26 )
| ~ ( rr @ SV9 @ SY94 )
| ( rr @ SV26 @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(127,plain,
! [SV27: $i,SV10: $i] :
( ( ! [SY95: $i] :
( ( SV10 != SV27 )
| ~ ( rr @ SY95 @ SV10 )
| ( rr @ SY95 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(128,plain,
! [SV28: $i,SV11: $i] :
( ( ( SV11 != SV28 )
| ~ ( xsd_integer @ SV11 )
| ( xsd_integer @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(129,plain,
! [SV29: $i,SV12: $i] :
( ( ( SV12 != SV29 )
| ~ ( xsd_string @ SV12 )
| ( xsd_string @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(130,plain,
! [SV30: $i,SV13: $i] :
( ( ~ ( rp @ SV13 @ SV30 )
| ( cA @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(131,plain,
! [SV31: $i,SV14: $i] :
( ( ~ ( rq @ SV14 @ SV31 )
| ( cB @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(132,plain,
! [SV15: $i] :
( ( ( ~ ( cA @ SV15 ) )
= $true )
| ( ( ~ ( cB @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(133,plain,
! [SV32: $i,SV16: $i] :
( ( ~ ( rq @ SV16 @ SV32 )
| ( rr @ SV16 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(134,plain,
! [SV33: $i,SV17: $i] :
( ( ~ ( rp @ SV17 @ SV33 )
| ( rr @ SV17 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(135,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(136,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(137,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(138,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(139,plain,
! [SV18: $i,SV1: $i] :
( ( ( ( SV1 != SV18 )
| ~ ( cA @ SV1 ) )
= $true )
| ( ( cA @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(140,plain,
! [SV19: $i,SV2: $i] :
( ( ( ( SV2 != SV19 )
| ~ ( cB @ SV2 ) )
= $true )
| ( ( cB @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(141,plain,
! [SV20: $i,SV3: $i] :
( ( ( ( SV3 != SV20 )
| ~ ( cowlNothing @ SV3 ) )
= $true )
| ( ( cowlNothing @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(142,plain,
! [SV21: $i,SV4: $i] :
( ( ( ( SV4 != SV21 )
| ~ ( cowlThing @ SV4 ) )
= $true )
| ( ( cowlThing @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(143,plain,
! [SV34: $i,SV22: $i,SV5: $i] :
( ( ( SV5 != SV22 )
| ~ ( rp @ SV5 @ SV34 )
| ( rp @ SV22 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(144,plain,
! [SV35: $i,SV23: $i,SV6: $i] :
( ( ( SV6 != SV23 )
| ~ ( rp @ SV35 @ SV6 )
| ( rp @ SV35 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(145,plain,
! [SV36: $i,SV24: $i,SV7: $i] :
( ( ( SV7 != SV24 )
| ~ ( rq @ SV7 @ SV36 )
| ( rq @ SV24 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(146,plain,
! [SV37: $i,SV25: $i,SV8: $i] :
( ( ( SV8 != SV25 )
| ~ ( rq @ SV37 @ SV8 )
| ( rq @ SV37 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(147,plain,
! [SV38: $i,SV26: $i,SV9: $i] :
( ( ( SV9 != SV26 )
| ~ ( rr @ SV9 @ SV38 )
| ( rr @ SV26 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(148,plain,
! [SV39: $i,SV27: $i,SV10: $i] :
( ( ( SV10 != SV27 )
| ~ ( rr @ SV39 @ SV10 )
| ( rr @ SV39 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(149,plain,
! [SV28: $i,SV11: $i] :
( ( ( ( SV11 != SV28 )
| ~ ( xsd_integer @ SV11 ) )
= $true )
| ( ( xsd_integer @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(150,plain,
! [SV29: $i,SV12: $i] :
( ( ( ( SV12 != SV29 )
| ~ ( xsd_string @ SV12 ) )
= $true )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(151,plain,
! [SV30: $i,SV13: $i] :
( ( ( ~ ( rp @ SV13 @ SV30 ) )
= $true )
| ( ( cA @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(152,plain,
! [SV31: $i,SV14: $i] :
( ( ( ~ ( rq @ SV14 @ SV31 ) )
= $true )
| ( ( cB @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(153,plain,
! [SV15: $i] :
( ( ( cA @ SV15 )
= $false )
| ( ( ~ ( cB @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(154,plain,
! [SV32: $i,SV16: $i] :
( ( ( ~ ( rq @ SV16 @ SV32 ) )
= $true )
| ( ( rr @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(155,plain,
! [SV33: $i,SV17: $i] :
( ( ( ~ ( rp @ SV17 @ SV33 ) )
= $true )
| ( ( rr @ SV17 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(156,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[135]) ).
thf(157,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(158,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(159,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(160,plain,
! [SV18: $i,SV1: $i] :
( ( ( ( SV1 != SV18 ) )
= $true )
| ( ( ~ ( cA @ SV1 ) )
= $true )
| ( ( cA @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(161,plain,
! [SV19: $i,SV2: $i] :
( ( ( ( SV2 != SV19 ) )
= $true )
| ( ( ~ ( cB @ SV2 ) )
= $true )
| ( ( cB @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(162,plain,
! [SV20: $i,SV3: $i] :
( ( ( ( SV3 != SV20 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV3 ) )
= $true )
| ( ( cowlNothing @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(163,plain,
! [SV21: $i,SV4: $i] :
( ( ( ( SV4 != SV21 ) )
= $true )
| ( ( ~ ( cowlThing @ SV4 ) )
= $true )
| ( ( cowlThing @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(164,plain,
! [SV34: $i,SV22: $i,SV5: $i] :
( ( ( ( SV5 != SV22 )
| ~ ( rp @ SV5 @ SV34 ) )
= $true )
| ( ( rp @ SV22 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(165,plain,
! [SV35: $i,SV23: $i,SV6: $i] :
( ( ( ( SV6 != SV23 )
| ~ ( rp @ SV35 @ SV6 ) )
= $true )
| ( ( rp @ SV35 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(166,plain,
! [SV36: $i,SV24: $i,SV7: $i] :
( ( ( ( SV7 != SV24 )
| ~ ( rq @ SV7 @ SV36 ) )
= $true )
| ( ( rq @ SV24 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(167,plain,
! [SV37: $i,SV25: $i,SV8: $i] :
( ( ( ( SV8 != SV25 )
| ~ ( rq @ SV37 @ SV8 ) )
= $true )
| ( ( rq @ SV37 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(168,plain,
! [SV38: $i,SV26: $i,SV9: $i] :
( ( ( ( SV9 != SV26 )
| ~ ( rr @ SV9 @ SV38 ) )
= $true )
| ( ( rr @ SV26 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(169,plain,
! [SV39: $i,SV27: $i,SV10: $i] :
( ( ( ( SV10 != SV27 )
| ~ ( rr @ SV39 @ SV10 ) )
= $true )
| ( ( rr @ SV39 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(170,plain,
! [SV28: $i,SV11: $i] :
( ( ( ( SV11 != SV28 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV11 ) )
= $true )
| ( ( xsd_integer @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(171,plain,
! [SV29: $i,SV12: $i] :
( ( ( ( SV12 != SV29 ) )
= $true )
| ( ( ~ ( xsd_string @ SV12 ) )
= $true )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(172,plain,
! [SV30: $i,SV13: $i] :
( ( ( rp @ SV13 @ SV30 )
= $false )
| ( ( cA @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(173,plain,
! [SV31: $i,SV14: $i] :
( ( ( rq @ SV14 @ SV31 )
= $false )
| ( ( cB @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(174,plain,
! [SV15: $i] :
( ( ( cB @ SV15 )
= $false )
| ( ( cA @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(175,plain,
! [SV32: $i,SV16: $i] :
( ( ( rq @ SV16 @ SV32 )
= $false )
| ( ( rr @ SV16 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(176,plain,
! [SV33: $i,SV17: $i] :
( ( ( rp @ SV17 @ SV33 )
= $false )
| ( ( rr @ SV17 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(177,plain,
! [SV40: $i] :
( ( cowlThing @ SV40 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(178,plain,
! [SV41: $i] :
( ( ~ ( cowlNothing @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(179,plain,
! [SV42: $i] :
( ( ~ ( xsd_string @ SV42 )
| ~ ( xsd_integer @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(180,plain,
! [SV43: $i] :
( ( ( xsd_integer @ SV43 )
| ( xsd_string @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(181,plain,
! [SV18: $i,SV1: $i] :
( ( ( SV1 = SV18 )
= $false )
| ( ( ~ ( cA @ SV1 ) )
= $true )
| ( ( cA @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(182,plain,
! [SV19: $i,SV2: $i] :
( ( ( SV2 = SV19 )
= $false )
| ( ( ~ ( cB @ SV2 ) )
= $true )
| ( ( cB @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(183,plain,
! [SV20: $i,SV3: $i] :
( ( ( SV3 = SV20 )
= $false )
| ( ( ~ ( cowlNothing @ SV3 ) )
= $true )
| ( ( cowlNothing @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(184,plain,
! [SV21: $i,SV4: $i] :
( ( ( SV4 = SV21 )
= $false )
| ( ( ~ ( cowlThing @ SV4 ) )
= $true )
| ( ( cowlThing @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(185,plain,
! [SV34: $i,SV22: $i,SV5: $i] :
( ( ( ( SV5 != SV22 ) )
= $true )
| ( ( ~ ( rp @ SV5 @ SV34 ) )
= $true )
| ( ( rp @ SV22 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(186,plain,
! [SV35: $i,SV23: $i,SV6: $i] :
( ( ( ( SV6 != SV23 ) )
= $true )
| ( ( ~ ( rp @ SV35 @ SV6 ) )
= $true )
| ( ( rp @ SV35 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(187,plain,
! [SV36: $i,SV24: $i,SV7: $i] :
( ( ( ( SV7 != SV24 ) )
= $true )
| ( ( ~ ( rq @ SV7 @ SV36 ) )
= $true )
| ( ( rq @ SV24 @ SV36 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(188,plain,
! [SV37: $i,SV25: $i,SV8: $i] :
( ( ( ( SV8 != SV25 ) )
= $true )
| ( ( ~ ( rq @ SV37 @ SV8 ) )
= $true )
| ( ( rq @ SV37 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(189,plain,
! [SV38: $i,SV26: $i,SV9: $i] :
( ( ( ( SV9 != SV26 ) )
= $true )
| ( ( ~ ( rr @ SV9 @ SV38 ) )
= $true )
| ( ( rr @ SV26 @ SV38 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(190,plain,
! [SV39: $i,SV27: $i,SV10: $i] :
( ( ( ( SV10 != SV27 ) )
= $true )
| ( ( ~ ( rr @ SV39 @ SV10 ) )
= $true )
| ( ( rr @ SV39 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(191,plain,
! [SV28: $i,SV11: $i] :
( ( ( SV11 = SV28 )
= $false )
| ( ( ~ ( xsd_integer @ SV11 ) )
= $true )
| ( ( xsd_integer @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(192,plain,
! [SV29: $i,SV12: $i] :
( ( ( SV12 = SV29 )
= $false )
| ( ( ~ ( xsd_string @ SV12 ) )
= $true )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(193,plain,
! [SV41: $i] :
( ( cowlNothing @ SV41 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(194,plain,
! [SV42: $i] :
( ( ( ~ ( xsd_string @ SV42 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(195,plain,
! [SV43: $i] :
( ( ( xsd_integer @ SV43 )
= $true )
| ( ( xsd_string @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(196,plain,
! [SV18: $i,SV1: $i] :
( ( ( cA @ SV1 )
= $false )
| ( ( SV1 = SV18 )
= $false )
| ( ( cA @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(197,plain,
! [SV19: $i,SV2: $i] :
( ( ( cB @ SV2 )
= $false )
| ( ( SV2 = SV19 )
= $false )
| ( ( cB @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(198,plain,
! [SV20: $i,SV3: $i] :
( ( ( cowlNothing @ SV3 )
= $false )
| ( ( SV3 = SV20 )
= $false )
| ( ( cowlNothing @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(199,plain,
! [SV21: $i,SV4: $i] :
( ( ( cowlThing @ SV4 )
= $false )
| ( ( SV4 = SV21 )
= $false )
| ( ( cowlThing @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(200,plain,
! [SV34: $i,SV22: $i,SV5: $i] :
( ( ( SV5 = SV22 )
= $false )
| ( ( ~ ( rp @ SV5 @ SV34 ) )
= $true )
| ( ( rp @ SV22 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(201,plain,
! [SV35: $i,SV23: $i,SV6: $i] :
( ( ( SV6 = SV23 )
= $false )
| ( ( ~ ( rp @ SV35 @ SV6 ) )
= $true )
| ( ( rp @ SV35 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(202,plain,
! [SV36: $i,SV24: $i,SV7: $i] :
( ( ( SV7 = SV24 )
= $false )
| ( ( ~ ( rq @ SV7 @ SV36 ) )
= $true )
| ( ( rq @ SV24 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(203,plain,
! [SV37: $i,SV25: $i,SV8: $i] :
( ( ( SV8 = SV25 )
= $false )
| ( ( ~ ( rq @ SV37 @ SV8 ) )
= $true )
| ( ( rq @ SV37 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(204,plain,
! [SV38: $i,SV26: $i,SV9: $i] :
( ( ( SV9 = SV26 )
= $false )
| ( ( ~ ( rr @ SV9 @ SV38 ) )
= $true )
| ( ( rr @ SV26 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(205,plain,
! [SV39: $i,SV27: $i,SV10: $i] :
( ( ( SV10 = SV27 )
= $false )
| ( ( ~ ( rr @ SV39 @ SV10 ) )
= $true )
| ( ( rr @ SV39 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(206,plain,
! [SV28: $i,SV11: $i] :
( ( ( xsd_integer @ SV11 )
= $false )
| ( ( SV11 = SV28 )
= $false )
| ( ( xsd_integer @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(207,plain,
! [SV29: $i,SV12: $i] :
( ( ( xsd_string @ SV12 )
= $false )
| ( ( SV12 = SV29 )
= $false )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(208,plain,
! [SV42: $i] :
( ( ( xsd_string @ SV42 )
= $false )
| ( ( ~ ( xsd_integer @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(209,plain,
! [SV22: $i,SV34: $i,SV5: $i] :
( ( ( rp @ SV5 @ SV34 )
= $false )
| ( ( SV5 = SV22 )
= $false )
| ( ( rp @ SV22 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(210,plain,
! [SV23: $i,SV6: $i,SV35: $i] :
( ( ( rp @ SV35 @ SV6 )
= $false )
| ( ( SV6 = SV23 )
= $false )
| ( ( rp @ SV35 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(211,plain,
! [SV24: $i,SV36: $i,SV7: $i] :
( ( ( rq @ SV7 @ SV36 )
= $false )
| ( ( SV7 = SV24 )
= $false )
| ( ( rq @ SV24 @ SV36 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(212,plain,
! [SV25: $i,SV8: $i,SV37: $i] :
( ( ( rq @ SV37 @ SV8 )
= $false )
| ( ( SV8 = SV25 )
= $false )
| ( ( rq @ SV37 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(213,plain,
! [SV26: $i,SV38: $i,SV9: $i] :
( ( ( rr @ SV9 @ SV38 )
= $false )
| ( ( SV9 = SV26 )
= $false )
| ( ( rr @ SV26 @ SV38 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(214,plain,
! [SV27: $i,SV10: $i,SV39: $i] :
( ( ( rr @ SV39 @ SV10 )
= $false )
| ( ( SV10 = SV27 )
= $false )
| ( ( rr @ SV39 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(215,plain,
! [SV42: $i] :
( ( ( xsd_integer @ SV42 )
= $false )
| ( ( xsd_string @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(216,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[115,215,214,213,212,211,210,209,207,206,199,198,197,196,195,193,177,176,175,174,173,172]) ).
thf(217,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(218,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cB @ A )
| ( cB @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(219,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(220,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(221,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(222,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(223,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(224,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(225,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(226,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(227,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(228,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(229,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(230,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(231,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(232,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( cB @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(233,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ~ ( cB @ X ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(234,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(235,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(236,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(237,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(238,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(239,plain,
! [SV44: $i] :
( ( ! [SY96: $i] :
( ( SV44 != SY96 )
| ~ ( cA @ SV44 )
| ( cA @ SY96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(240,plain,
! [SV45: $i] :
( ( ! [SY97: $i] :
( ( SV45 != SY97 )
| ~ ( cB @ SV45 )
| ( cB @ SY97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(241,plain,
! [SV46: $i] :
( ( ! [SY98: $i] :
( ( SV46 != SY98 )
| ~ ( cowlNothing @ SV46 )
| ( cowlNothing @ SY98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(242,plain,
! [SV47: $i] :
( ( ! [SY99: $i] :
( ( SV47 != SY99 )
| ~ ( cowlThing @ SV47 )
| ( cowlThing @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(243,plain,
! [SV48: $i] :
( ( ! [SY100: $i,SY101: $i] :
( ( SV48 != SY100 )
| ~ ( rp @ SV48 @ SY101 )
| ( rp @ SY100 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(244,plain,
! [SV49: $i] :
( ( ! [SY102: $i,SY103: $i] :
( ( SV49 != SY102 )
| ~ ( rp @ SY103 @ SV49 )
| ( rp @ SY103 @ SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(245,plain,
! [SV50: $i] :
( ( ! [SY104: $i,SY105: $i] :
( ( SV50 != SY104 )
| ~ ( rq @ SV50 @ SY105 )
| ( rq @ SY104 @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(246,plain,
! [SV51: $i] :
( ( ! [SY106: $i,SY107: $i] :
( ( SV51 != SY106 )
| ~ ( rq @ SY107 @ SV51 )
| ( rq @ SY107 @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(247,plain,
! [SV52: $i] :
( ( ! [SY108: $i,SY109: $i] :
( ( SV52 != SY108 )
| ~ ( rr @ SV52 @ SY109 )
| ( rr @ SY108 @ SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(248,plain,
! [SV53: $i] :
( ( ! [SY110: $i,SY111: $i] :
( ( SV53 != SY110 )
| ~ ( rr @ SY111 @ SV53 )
| ( rr @ SY111 @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(249,plain,
! [SV54: $i] :
( ( ! [SY112: $i] :
( ( SV54 != SY112 )
| ~ ( xsd_integer @ SV54 )
| ( xsd_integer @ SY112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(250,plain,
! [SV55: $i] :
( ( ! [SY113: $i] :
( ( SV55 != SY113 )
| ~ ( xsd_string @ SV55 )
| ( xsd_string @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(251,plain,
! [SV56: $i] :
( ( ! [SY114: $i] :
( ~ ( rp @ SV56 @ SY114 )
| ( cA @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(252,plain,
! [SV57: $i] :
( ( ! [SY115: $i] :
( ~ ( rq @ SV57 @ SY115 )
| ( cB @ SY115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(253,plain,
! [SV58: $i] :
( ( ~ ( cA @ SV58 )
| ~ ( cB @ SV58 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(254,plain,
! [SV59: $i] :
( ( ! [SY116: $i] :
( ~ ( rq @ SV59 @ SY116 )
| ( rr @ SV59 @ SY116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(255,plain,
! [SV60: $i] :
( ( ! [SY117: $i] :
( ~ ( rp @ SV60 @ SY117 )
| ( rr @ SV60 @ SY117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(256,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(257,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(258,plain,
! [SV61: $i,SV44: $i] :
( ( ( SV44 != SV61 )
| ~ ( cA @ SV44 )
| ( cA @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(259,plain,
! [SV62: $i,SV45: $i] :
( ( ( SV45 != SV62 )
| ~ ( cB @ SV45 )
| ( cB @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(260,plain,
! [SV63: $i,SV46: $i] :
( ( ( SV46 != SV63 )
| ~ ( cowlNothing @ SV46 )
| ( cowlNothing @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(261,plain,
! [SV64: $i,SV47: $i] :
( ( ( SV47 != SV64 )
| ~ ( cowlThing @ SV47 )
| ( cowlThing @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(262,plain,
! [SV65: $i,SV48: $i] :
( ( ! [SY118: $i] :
( ( SV48 != SV65 )
| ~ ( rp @ SV48 @ SY118 )
| ( rp @ SV65 @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(263,plain,
! [SV66: $i,SV49: $i] :
( ( ! [SY119: $i] :
( ( SV49 != SV66 )
| ~ ( rp @ SY119 @ SV49 )
| ( rp @ SY119 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(264,plain,
! [SV67: $i,SV50: $i] :
( ( ! [SY120: $i] :
( ( SV50 != SV67 )
| ~ ( rq @ SV50 @ SY120 )
| ( rq @ SV67 @ SY120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(265,plain,
! [SV68: $i,SV51: $i] :
( ( ! [SY121: $i] :
( ( SV51 != SV68 )
| ~ ( rq @ SY121 @ SV51 )
| ( rq @ SY121 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(266,plain,
! [SV69: $i,SV52: $i] :
( ( ! [SY122: $i] :
( ( SV52 != SV69 )
| ~ ( rr @ SV52 @ SY122 )
| ( rr @ SV69 @ SY122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(267,plain,
! [SV70: $i,SV53: $i] :
( ( ! [SY123: $i] :
( ( SV53 != SV70 )
| ~ ( rr @ SY123 @ SV53 )
| ( rr @ SY123 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(268,plain,
! [SV71: $i,SV54: $i] :
( ( ( SV54 != SV71 )
| ~ ( xsd_integer @ SV54 )
| ( xsd_integer @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(269,plain,
! [SV72: $i,SV55: $i] :
( ( ( SV55 != SV72 )
| ~ ( xsd_string @ SV55 )
| ( xsd_string @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(270,plain,
! [SV73: $i,SV56: $i] :
( ( ~ ( rp @ SV56 @ SV73 )
| ( cA @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(271,plain,
! [SV74: $i,SV57: $i] :
( ( ~ ( rq @ SV57 @ SV74 )
| ( cB @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(272,plain,
! [SV58: $i] :
( ( ( ~ ( cA @ SV58 ) )
= $true )
| ( ( ~ ( cB @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(273,plain,
! [SV75: $i,SV59: $i] :
( ( ~ ( rq @ SV59 @ SV75 )
| ( rr @ SV59 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(274,plain,
! [SV76: $i,SV60: $i] :
( ( ~ ( rp @ SV60 @ SV76 )
| ( rr @ SV60 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(275,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(276,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(277,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(278,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(279,plain,
! [SV61: $i,SV44: $i] :
( ( ( ( SV44 != SV61 )
| ~ ( cA @ SV44 ) )
= $true )
| ( ( cA @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(280,plain,
! [SV62: $i,SV45: $i] :
( ( ( ( SV45 != SV62 )
| ~ ( cB @ SV45 ) )
= $true )
| ( ( cB @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(281,plain,
! [SV63: $i,SV46: $i] :
( ( ( ( SV46 != SV63 )
| ~ ( cowlNothing @ SV46 ) )
= $true )
| ( ( cowlNothing @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(282,plain,
! [SV64: $i,SV47: $i] :
( ( ( ( SV47 != SV64 )
| ~ ( cowlThing @ SV47 ) )
= $true )
| ( ( cowlThing @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(283,plain,
! [SV77: $i,SV65: $i,SV48: $i] :
( ( ( SV48 != SV65 )
| ~ ( rp @ SV48 @ SV77 )
| ( rp @ SV65 @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(284,plain,
! [SV78: $i,SV66: $i,SV49: $i] :
( ( ( SV49 != SV66 )
| ~ ( rp @ SV78 @ SV49 )
| ( rp @ SV78 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(285,plain,
! [SV79: $i,SV67: $i,SV50: $i] :
( ( ( SV50 != SV67 )
| ~ ( rq @ SV50 @ SV79 )
| ( rq @ SV67 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(286,plain,
! [SV80: $i,SV68: $i,SV51: $i] :
( ( ( SV51 != SV68 )
| ~ ( rq @ SV80 @ SV51 )
| ( rq @ SV80 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(287,plain,
! [SV81: $i,SV69: $i,SV52: $i] :
( ( ( SV52 != SV69 )
| ~ ( rr @ SV52 @ SV81 )
| ( rr @ SV69 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(288,plain,
! [SV82: $i,SV70: $i,SV53: $i] :
( ( ( SV53 != SV70 )
| ~ ( rr @ SV82 @ SV53 )
| ( rr @ SV82 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(289,plain,
! [SV71: $i,SV54: $i] :
( ( ( ( SV54 != SV71 )
| ~ ( xsd_integer @ SV54 ) )
= $true )
| ( ( xsd_integer @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(290,plain,
! [SV72: $i,SV55: $i] :
( ( ( ( SV55 != SV72 )
| ~ ( xsd_string @ SV55 ) )
= $true )
| ( ( xsd_string @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(291,plain,
! [SV73: $i,SV56: $i] :
( ( ( ~ ( rp @ SV56 @ SV73 ) )
= $true )
| ( ( cA @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(292,plain,
! [SV74: $i,SV57: $i] :
( ( ( ~ ( rq @ SV57 @ SV74 ) )
= $true )
| ( ( cB @ SV74 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(293,plain,
! [SV58: $i] :
( ( ( cA @ SV58 )
= $false )
| ( ( ~ ( cB @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(294,plain,
! [SV75: $i,SV59: $i] :
( ( ( ~ ( rq @ SV59 @ SV75 ) )
= $true )
| ( ( rr @ SV59 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(295,plain,
! [SV76: $i,SV60: $i] :
( ( ( ~ ( rp @ SV60 @ SV76 ) )
= $true )
| ( ( rr @ SV60 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(296,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(297,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(298,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(299,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(300,plain,
! [SV61: $i,SV44: $i] :
( ( ( ( SV44 != SV61 ) )
= $true )
| ( ( ~ ( cA @ SV44 ) )
= $true )
| ( ( cA @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(301,plain,
! [SV62: $i,SV45: $i] :
( ( ( ( SV45 != SV62 ) )
= $true )
| ( ( ~ ( cB @ SV45 ) )
= $true )
| ( ( cB @ SV62 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(302,plain,
! [SV63: $i,SV46: $i] :
( ( ( ( SV46 != SV63 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV46 ) )
= $true )
| ( ( cowlNothing @ SV63 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(303,plain,
! [SV64: $i,SV47: $i] :
( ( ( ( SV47 != SV64 ) )
= $true )
| ( ( ~ ( cowlThing @ SV47 ) )
= $true )
| ( ( cowlThing @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(304,plain,
! [SV77: $i,SV65: $i,SV48: $i] :
( ( ( ( SV48 != SV65 )
| ~ ( rp @ SV48 @ SV77 ) )
= $true )
| ( ( rp @ SV65 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(305,plain,
! [SV78: $i,SV66: $i,SV49: $i] :
( ( ( ( SV49 != SV66 )
| ~ ( rp @ SV78 @ SV49 ) )
= $true )
| ( ( rp @ SV78 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(306,plain,
! [SV79: $i,SV67: $i,SV50: $i] :
( ( ( ( SV50 != SV67 )
| ~ ( rq @ SV50 @ SV79 ) )
= $true )
| ( ( rq @ SV67 @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(307,plain,
! [SV80: $i,SV68: $i,SV51: $i] :
( ( ( ( SV51 != SV68 )
| ~ ( rq @ SV80 @ SV51 ) )
= $true )
| ( ( rq @ SV80 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(308,plain,
! [SV81: $i,SV69: $i,SV52: $i] :
( ( ( ( SV52 != SV69 )
| ~ ( rr @ SV52 @ SV81 ) )
= $true )
| ( ( rr @ SV69 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(309,plain,
! [SV82: $i,SV70: $i,SV53: $i] :
( ( ( ( SV53 != SV70 )
| ~ ( rr @ SV82 @ SV53 ) )
= $true )
| ( ( rr @ SV82 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(310,plain,
! [SV71: $i,SV54: $i] :
( ( ( ( SV54 != SV71 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV54 ) )
= $true )
| ( ( xsd_integer @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(311,plain,
! [SV72: $i,SV55: $i] :
( ( ( ( SV55 != SV72 ) )
= $true )
| ( ( ~ ( xsd_string @ SV55 ) )
= $true )
| ( ( xsd_string @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(312,plain,
! [SV73: $i,SV56: $i] :
( ( ( rp @ SV56 @ SV73 )
= $false )
| ( ( cA @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(313,plain,
! [SV74: $i,SV57: $i] :
( ( ( rq @ SV57 @ SV74 )
= $false )
| ( ( cB @ SV74 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(314,plain,
! [SV58: $i] :
( ( ( cB @ SV58 )
= $false )
| ( ( cA @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(315,plain,
! [SV75: $i,SV59: $i] :
( ( ( rq @ SV59 @ SV75 )
= $false )
| ( ( rr @ SV59 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(316,plain,
! [SV76: $i,SV60: $i] :
( ( ( rp @ SV60 @ SV76 )
= $false )
| ( ( rr @ SV60 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(317,plain,
! [SV83: $i] :
( ( cowlThing @ SV83 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(318,plain,
! [SV84: $i] :
( ( ~ ( cowlNothing @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(319,plain,
! [SV85: $i] :
( ( ~ ( xsd_string @ SV85 )
| ~ ( xsd_integer @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(320,plain,
! [SV86: $i] :
( ( ( xsd_integer @ SV86 )
| ( xsd_string @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(321,plain,
! [SV61: $i,SV44: $i] :
( ( ( SV44 = SV61 )
= $false )
| ( ( ~ ( cA @ SV44 ) )
= $true )
| ( ( cA @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(322,plain,
! [SV62: $i,SV45: $i] :
( ( ( SV45 = SV62 )
= $false )
| ( ( ~ ( cB @ SV45 ) )
= $true )
| ( ( cB @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(323,plain,
! [SV63: $i,SV46: $i] :
( ( ( SV46 = SV63 )
= $false )
| ( ( ~ ( cowlNothing @ SV46 ) )
= $true )
| ( ( cowlNothing @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(324,plain,
! [SV64: $i,SV47: $i] :
( ( ( SV47 = SV64 )
= $false )
| ( ( ~ ( cowlThing @ SV47 ) )
= $true )
| ( ( cowlThing @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(325,plain,
! [SV77: $i,SV65: $i,SV48: $i] :
( ( ( ( SV48 != SV65 ) )
= $true )
| ( ( ~ ( rp @ SV48 @ SV77 ) )
= $true )
| ( ( rp @ SV65 @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(326,plain,
! [SV78: $i,SV66: $i,SV49: $i] :
( ( ( ( SV49 != SV66 ) )
= $true )
| ( ( ~ ( rp @ SV78 @ SV49 ) )
= $true )
| ( ( rp @ SV78 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(327,plain,
! [SV79: $i,SV67: $i,SV50: $i] :
( ( ( ( SV50 != SV67 ) )
= $true )
| ( ( ~ ( rq @ SV50 @ SV79 ) )
= $true )
| ( ( rq @ SV67 @ SV79 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(328,plain,
! [SV80: $i,SV68: $i,SV51: $i] :
( ( ( ( SV51 != SV68 ) )
= $true )
| ( ( ~ ( rq @ SV80 @ SV51 ) )
= $true )
| ( ( rq @ SV80 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(329,plain,
! [SV81: $i,SV69: $i,SV52: $i] :
( ( ( ( SV52 != SV69 ) )
= $true )
| ( ( ~ ( rr @ SV52 @ SV81 ) )
= $true )
| ( ( rr @ SV69 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(330,plain,
! [SV82: $i,SV70: $i,SV53: $i] :
( ( ( ( SV53 != SV70 ) )
= $true )
| ( ( ~ ( rr @ SV82 @ SV53 ) )
= $true )
| ( ( rr @ SV82 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(331,plain,
! [SV71: $i,SV54: $i] :
( ( ( SV54 = SV71 )
= $false )
| ( ( ~ ( xsd_integer @ SV54 ) )
= $true )
| ( ( xsd_integer @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(332,plain,
! [SV72: $i,SV55: $i] :
( ( ( SV55 = SV72 )
= $false )
| ( ( ~ ( xsd_string @ SV55 ) )
= $true )
| ( ( xsd_string @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(333,plain,
! [SV84: $i] :
( ( cowlNothing @ SV84 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(334,plain,
! [SV85: $i] :
( ( ( ~ ( xsd_string @ SV85 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(335,plain,
! [SV86: $i] :
( ( ( xsd_integer @ SV86 )
= $true )
| ( ( xsd_string @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(336,plain,
! [SV61: $i,SV44: $i] :
( ( ( cA @ SV44 )
= $false )
| ( ( SV44 = SV61 )
= $false )
| ( ( cA @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(337,plain,
! [SV62: $i,SV45: $i] :
( ( ( cB @ SV45 )
= $false )
| ( ( SV45 = SV62 )
= $false )
| ( ( cB @ SV62 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(338,plain,
! [SV63: $i,SV46: $i] :
( ( ( cowlNothing @ SV46 )
= $false )
| ( ( SV46 = SV63 )
= $false )
| ( ( cowlNothing @ SV63 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(339,plain,
! [SV64: $i,SV47: $i] :
( ( ( cowlThing @ SV47 )
= $false )
| ( ( SV47 = SV64 )
= $false )
| ( ( cowlThing @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(340,plain,
! [SV77: $i,SV65: $i,SV48: $i] :
( ( ( SV48 = SV65 )
= $false )
| ( ( ~ ( rp @ SV48 @ SV77 ) )
= $true )
| ( ( rp @ SV65 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(341,plain,
! [SV78: $i,SV66: $i,SV49: $i] :
( ( ( SV49 = SV66 )
= $false )
| ( ( ~ ( rp @ SV78 @ SV49 ) )
= $true )
| ( ( rp @ SV78 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(342,plain,
! [SV79: $i,SV67: $i,SV50: $i] :
( ( ( SV50 = SV67 )
= $false )
| ( ( ~ ( rq @ SV50 @ SV79 ) )
= $true )
| ( ( rq @ SV67 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(343,plain,
! [SV80: $i,SV68: $i,SV51: $i] :
( ( ( SV51 = SV68 )
= $false )
| ( ( ~ ( rq @ SV80 @ SV51 ) )
= $true )
| ( ( rq @ SV80 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(344,plain,
! [SV81: $i,SV69: $i,SV52: $i] :
( ( ( SV52 = SV69 )
= $false )
| ( ( ~ ( rr @ SV52 @ SV81 ) )
= $true )
| ( ( rr @ SV69 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(345,plain,
! [SV82: $i,SV70: $i,SV53: $i] :
( ( ( SV53 = SV70 )
= $false )
| ( ( ~ ( rr @ SV82 @ SV53 ) )
= $true )
| ( ( rr @ SV82 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(346,plain,
! [SV71: $i,SV54: $i] :
( ( ( xsd_integer @ SV54 )
= $false )
| ( ( SV54 = SV71 )
= $false )
| ( ( xsd_integer @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(347,plain,
! [SV72: $i,SV55: $i] :
( ( ( xsd_string @ SV55 )
= $false )
| ( ( SV55 = SV72 )
= $false )
| ( ( xsd_string @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(348,plain,
! [SV85: $i] :
( ( ( xsd_string @ SV85 )
= $false )
| ( ( ~ ( xsd_integer @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(349,plain,
! [SV65: $i,SV77: $i,SV48: $i] :
( ( ( rp @ SV48 @ SV77 )
= $false )
| ( ( SV48 = SV65 )
= $false )
| ( ( rp @ SV65 @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(350,plain,
! [SV66: $i,SV49: $i,SV78: $i] :
( ( ( rp @ SV78 @ SV49 )
= $false )
| ( ( SV49 = SV66 )
= $false )
| ( ( rp @ SV78 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(351,plain,
! [SV67: $i,SV79: $i,SV50: $i] :
( ( ( rq @ SV50 @ SV79 )
= $false )
| ( ( SV50 = SV67 )
= $false )
| ( ( rq @ SV67 @ SV79 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(352,plain,
! [SV68: $i,SV51: $i,SV80: $i] :
( ( ( rq @ SV80 @ SV51 )
= $false )
| ( ( SV51 = SV68 )
= $false )
| ( ( rq @ SV80 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(353,plain,
! [SV69: $i,SV81: $i,SV52: $i] :
( ( ( rr @ SV52 @ SV81 )
= $false )
| ( ( SV52 = SV69 )
= $false )
| ( ( rr @ SV69 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(354,plain,
! [SV70: $i,SV53: $i,SV82: $i] :
( ( ( rr @ SV82 @ SV53 )
= $false )
| ( ( SV53 = SV70 )
= $false )
| ( ( rr @ SV82 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(355,plain,
! [SV85: $i] :
( ( ( xsd_integer @ SV85 )
= $false )
| ( ( xsd_string @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(356,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[236,355,354,353,352,351,350,349,347,346,339,338,337,336,335,333,317,316,315,314,313,312]) ).
thf(357,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(358,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cB @ A )
| ( cB @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(359,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(360,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(361,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(362,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(363,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(364,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(365,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(366,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(367,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(368,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(369,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(370,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(371,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(372,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( cB @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(373,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ~ ( cB @ X ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(374,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(375,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(376,plain,
( ( ( xsd_string @ sK3_X )
& ( xsd_integer @ sK3_X ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(377,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[369]) ).
thf(378,plain,
( ( ~ ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[376]) ).
thf(379,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(380,plain,
! [SV87: $i] :
( ( ! [SY124: $i] :
( ( SV87 != SY124 )
| ~ ( cA @ SV87 )
| ( cA @ SY124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(381,plain,
! [SV88: $i] :
( ( ! [SY125: $i] :
( ( SV88 != SY125 )
| ~ ( cB @ SV88 )
| ( cB @ SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(382,plain,
! [SV89: $i] :
( ( ! [SY126: $i] :
( ( SV89 != SY126 )
| ~ ( cowlNothing @ SV89 )
| ( cowlNothing @ SY126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(383,plain,
! [SV90: $i] :
( ( ! [SY127: $i] :
( ( SV90 != SY127 )
| ~ ( cowlThing @ SV90 )
| ( cowlThing @ SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(384,plain,
! [SV91: $i] :
( ( ! [SY128: $i,SY129: $i] :
( ( SV91 != SY128 )
| ~ ( rp @ SV91 @ SY129 )
| ( rp @ SY128 @ SY129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(385,plain,
! [SV92: $i] :
( ( ! [SY130: $i,SY131: $i] :
( ( SV92 != SY130 )
| ~ ( rp @ SY131 @ SV92 )
| ( rp @ SY131 @ SY130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(386,plain,
! [SV93: $i] :
( ( ! [SY132: $i,SY133: $i] :
( ( SV93 != SY132 )
| ~ ( rq @ SV93 @ SY133 )
| ( rq @ SY132 @ SY133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(387,plain,
! [SV94: $i] :
( ( ! [SY134: $i,SY135: $i] :
( ( SV94 != SY134 )
| ~ ( rq @ SY135 @ SV94 )
| ( rq @ SY135 @ SY134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(388,plain,
! [SV95: $i] :
( ( ! [SY136: $i,SY137: $i] :
( ( SV95 != SY136 )
| ~ ( rr @ SV95 @ SY137 )
| ( rr @ SY136 @ SY137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(389,plain,
! [SV96: $i] :
( ( ! [SY138: $i,SY139: $i] :
( ( SV96 != SY138 )
| ~ ( rr @ SY139 @ SV96 )
| ( rr @ SY139 @ SY138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(390,plain,
! [SV97: $i] :
( ( ! [SY140: $i] :
( ( SV97 != SY140 )
| ~ ( xsd_integer @ SV97 )
| ( xsd_integer @ SY140 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(391,plain,
! [SV98: $i] :
( ( ! [SY141: $i] :
( ( SV98 != SY141 )
| ~ ( xsd_string @ SV98 )
| ( xsd_string @ SY141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(392,plain,
! [SV99: $i] :
( ( ! [SY142: $i] :
( ~ ( rp @ SV99 @ SY142 )
| ( cA @ SY142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(393,plain,
! [SV100: $i] :
( ( ! [SY143: $i] :
( ~ ( rq @ SV100 @ SY143 )
| ( cB @ SY143 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(394,plain,
! [SV101: $i] :
( ( ~ ( cA @ SV101 )
| ~ ( cB @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(395,plain,
! [SV102: $i] :
( ( ! [SY144: $i] :
( ~ ( rq @ SV102 @ SY144 )
| ( rr @ SV102 @ SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(396,plain,
! [SV103: $i] :
( ( ! [SY145: $i] :
( ~ ( rp @ SV103 @ SY145 )
| ( rr @ SV103 @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(397,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(398,plain,
( ( ~ ( xsd_string @ sK3_X )
| ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(399,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(400,plain,
! [SV104: $i,SV87: $i] :
( ( ( SV87 != SV104 )
| ~ ( cA @ SV87 )
| ( cA @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(401,plain,
! [SV105: $i,SV88: $i] :
( ( ( SV88 != SV105 )
| ~ ( cB @ SV88 )
| ( cB @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(402,plain,
! [SV106: $i,SV89: $i] :
( ( ( SV89 != SV106 )
| ~ ( cowlNothing @ SV89 )
| ( cowlNothing @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(403,plain,
! [SV107: $i,SV90: $i] :
( ( ( SV90 != SV107 )
| ~ ( cowlThing @ SV90 )
| ( cowlThing @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(404,plain,
! [SV108: $i,SV91: $i] :
( ( ! [SY146: $i] :
( ( SV91 != SV108 )
| ~ ( rp @ SV91 @ SY146 )
| ( rp @ SV108 @ SY146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(405,plain,
! [SV109: $i,SV92: $i] :
( ( ! [SY147: $i] :
( ( SV92 != SV109 )
| ~ ( rp @ SY147 @ SV92 )
| ( rp @ SY147 @ SV109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(406,plain,
! [SV110: $i,SV93: $i] :
( ( ! [SY148: $i] :
( ( SV93 != SV110 )
| ~ ( rq @ SV93 @ SY148 )
| ( rq @ SV110 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(407,plain,
! [SV111: $i,SV94: $i] :
( ( ! [SY149: $i] :
( ( SV94 != SV111 )
| ~ ( rq @ SY149 @ SV94 )
| ( rq @ SY149 @ SV111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(408,plain,
! [SV112: $i,SV95: $i] :
( ( ! [SY150: $i] :
( ( SV95 != SV112 )
| ~ ( rr @ SV95 @ SY150 )
| ( rr @ SV112 @ SY150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(409,plain,
! [SV113: $i,SV96: $i] :
( ( ! [SY151: $i] :
( ( SV96 != SV113 )
| ~ ( rr @ SY151 @ SV96 )
| ( rr @ SY151 @ SV113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(410,plain,
! [SV114: $i,SV97: $i] :
( ( ( SV97 != SV114 )
| ~ ( xsd_integer @ SV97 )
| ( xsd_integer @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(411,plain,
! [SV115: $i,SV98: $i] :
( ( ( SV98 != SV115 )
| ~ ( xsd_string @ SV98 )
| ( xsd_string @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(412,plain,
! [SV116: $i,SV99: $i] :
( ( ~ ( rp @ SV99 @ SV116 )
| ( cA @ SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(413,plain,
! [SV117: $i,SV100: $i] :
( ( ~ ( rq @ SV100 @ SV117 )
| ( cB @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(414,plain,
! [SV101: $i] :
( ( ( ~ ( cA @ SV101 ) )
= $true )
| ( ( ~ ( cB @ SV101 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(415,plain,
! [SV118: $i,SV102: $i] :
( ( ~ ( rq @ SV102 @ SV118 )
| ( rr @ SV102 @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(416,plain,
! [SV119: $i,SV103: $i] :
( ( ~ ( rp @ SV103 @ SV119 )
| ( rr @ SV103 @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(417,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(418,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[397]) ).
thf(419,plain,
( ( ~ ( xsd_string @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(420,plain,
( ( ~ ( xsd_integer @ sK3_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[398]) ).
thf(421,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(422,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[399]) ).
thf(423,plain,
! [SV104: $i,SV87: $i] :
( ( ( ( SV87 != SV104 )
| ~ ( cA @ SV87 ) )
= $true )
| ( ( cA @ SV104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(424,plain,
! [SV105: $i,SV88: $i] :
( ( ( ( SV88 != SV105 )
| ~ ( cB @ SV88 ) )
= $true )
| ( ( cB @ SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(425,plain,
! [SV106: $i,SV89: $i] :
( ( ( ( SV89 != SV106 )
| ~ ( cowlNothing @ SV89 ) )
= $true )
| ( ( cowlNothing @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(426,plain,
! [SV107: $i,SV90: $i] :
( ( ( ( SV90 != SV107 )
| ~ ( cowlThing @ SV90 ) )
= $true )
| ( ( cowlThing @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(427,plain,
! [SV120: $i,SV108: $i,SV91: $i] :
( ( ( SV91 != SV108 )
| ~ ( rp @ SV91 @ SV120 )
| ( rp @ SV108 @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(428,plain,
! [SV121: $i,SV109: $i,SV92: $i] :
( ( ( SV92 != SV109 )
| ~ ( rp @ SV121 @ SV92 )
| ( rp @ SV121 @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(429,plain,
! [SV122: $i,SV110: $i,SV93: $i] :
( ( ( SV93 != SV110 )
| ~ ( rq @ SV93 @ SV122 )
| ( rq @ SV110 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(430,plain,
! [SV123: $i,SV111: $i,SV94: $i] :
( ( ( SV94 != SV111 )
| ~ ( rq @ SV123 @ SV94 )
| ( rq @ SV123 @ SV111 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(431,plain,
! [SV124: $i,SV112: $i,SV95: $i] :
( ( ( SV95 != SV112 )
| ~ ( rr @ SV95 @ SV124 )
| ( rr @ SV112 @ SV124 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(432,plain,
! [SV125: $i,SV113: $i,SV96: $i] :
( ( ( SV96 != SV113 )
| ~ ( rr @ SV125 @ SV96 )
| ( rr @ SV125 @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(433,plain,
! [SV114: $i,SV97: $i] :
( ( ( ( SV97 != SV114 )
| ~ ( xsd_integer @ SV97 ) )
= $true )
| ( ( xsd_integer @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(434,plain,
! [SV115: $i,SV98: $i] :
( ( ( ( SV98 != SV115 )
| ~ ( xsd_string @ SV98 ) )
= $true )
| ( ( xsd_string @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(435,plain,
! [SV116: $i,SV99: $i] :
( ( ( ~ ( rp @ SV99 @ SV116 ) )
= $true )
| ( ( cA @ SV116 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(436,plain,
! [SV117: $i,SV100: $i] :
( ( ( ~ ( rq @ SV100 @ SV117 ) )
= $true )
| ( ( cB @ SV117 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(437,plain,
! [SV101: $i] :
( ( ( cA @ SV101 )
= $false )
| ( ( ~ ( cB @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(438,plain,
! [SV118: $i,SV102: $i] :
( ( ( ~ ( rq @ SV102 @ SV118 ) )
= $true )
| ( ( rr @ SV102 @ SV118 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(439,plain,
! [SV119: $i,SV103: $i] :
( ( ( ~ ( rp @ SV103 @ SV119 ) )
= $true )
| ( ( rr @ SV103 @ SV119 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(440,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(441,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(442,plain,
( ( xsd_string @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(443,plain,
( ( xsd_integer @ sK3_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(444,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(445,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[422]) ).
thf(446,plain,
! [SV104: $i,SV87: $i] :
( ( ( ( SV87 != SV104 ) )
= $true )
| ( ( ~ ( cA @ SV87 ) )
= $true )
| ( ( cA @ SV104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(447,plain,
! [SV105: $i,SV88: $i] :
( ( ( ( SV88 != SV105 ) )
= $true )
| ( ( ~ ( cB @ SV88 ) )
= $true )
| ( ( cB @ SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(448,plain,
! [SV106: $i,SV89: $i] :
( ( ( ( SV89 != SV106 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV89 ) )
= $true )
| ( ( cowlNothing @ SV106 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(449,plain,
! [SV107: $i,SV90: $i] :
( ( ( ( SV90 != SV107 ) )
= $true )
| ( ( ~ ( cowlThing @ SV90 ) )
= $true )
| ( ( cowlThing @ SV107 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(450,plain,
! [SV120: $i,SV108: $i,SV91: $i] :
( ( ( ( SV91 != SV108 )
| ~ ( rp @ SV91 @ SV120 ) )
= $true )
| ( ( rp @ SV108 @ SV120 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(451,plain,
! [SV121: $i,SV109: $i,SV92: $i] :
( ( ( ( SV92 != SV109 )
| ~ ( rp @ SV121 @ SV92 ) )
= $true )
| ( ( rp @ SV121 @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(452,plain,
! [SV122: $i,SV110: $i,SV93: $i] :
( ( ( ( SV93 != SV110 )
| ~ ( rq @ SV93 @ SV122 ) )
= $true )
| ( ( rq @ SV110 @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(453,plain,
! [SV123: $i,SV111: $i,SV94: $i] :
( ( ( ( SV94 != SV111 )
| ~ ( rq @ SV123 @ SV94 ) )
= $true )
| ( ( rq @ SV123 @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(454,plain,
! [SV124: $i,SV112: $i,SV95: $i] :
( ( ( ( SV95 != SV112 )
| ~ ( rr @ SV95 @ SV124 ) )
= $true )
| ( ( rr @ SV112 @ SV124 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(455,plain,
! [SV125: $i,SV113: $i,SV96: $i] :
( ( ( ( SV96 != SV113 )
| ~ ( rr @ SV125 @ SV96 ) )
= $true )
| ( ( rr @ SV125 @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(456,plain,
! [SV114: $i,SV97: $i] :
( ( ( ( SV97 != SV114 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV97 ) )
= $true )
| ( ( xsd_integer @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(457,plain,
! [SV115: $i,SV98: $i] :
( ( ( ( SV98 != SV115 ) )
= $true )
| ( ( ~ ( xsd_string @ SV98 ) )
= $true )
| ( ( xsd_string @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(458,plain,
! [SV116: $i,SV99: $i] :
( ( ( rp @ SV99 @ SV116 )
= $false )
| ( ( cA @ SV116 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(459,plain,
! [SV117: $i,SV100: $i] :
( ( ( rq @ SV100 @ SV117 )
= $false )
| ( ( cB @ SV117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(460,plain,
! [SV101: $i] :
( ( ( cB @ SV101 )
= $false )
| ( ( cA @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(461,plain,
! [SV118: $i,SV102: $i] :
( ( ( rq @ SV102 @ SV118 )
= $false )
| ( ( rr @ SV102 @ SV118 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(462,plain,
! [SV119: $i,SV103: $i] :
( ( ( rp @ SV103 @ SV119 )
= $false )
| ( ( rr @ SV103 @ SV119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(463,plain,
! [SV126: $i] :
( ( cowlThing @ SV126 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(464,plain,
! [SV127: $i] :
( ( ~ ( cowlNothing @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(465,plain,
! [SV128: $i] :
( ( ~ ( xsd_string @ SV128 )
| ~ ( xsd_integer @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(466,plain,
! [SV129: $i] :
( ( ( xsd_integer @ SV129 )
| ( xsd_string @ SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(467,plain,
! [SV104: $i,SV87: $i] :
( ( ( SV87 = SV104 )
= $false )
| ( ( ~ ( cA @ SV87 ) )
= $true )
| ( ( cA @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(468,plain,
! [SV105: $i,SV88: $i] :
( ( ( SV88 = SV105 )
= $false )
| ( ( ~ ( cB @ SV88 ) )
= $true )
| ( ( cB @ SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(469,plain,
! [SV106: $i,SV89: $i] :
( ( ( SV89 = SV106 )
= $false )
| ( ( ~ ( cowlNothing @ SV89 ) )
= $true )
| ( ( cowlNothing @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(470,plain,
! [SV107: $i,SV90: $i] :
( ( ( SV90 = SV107 )
= $false )
| ( ( ~ ( cowlThing @ SV90 ) )
= $true )
| ( ( cowlThing @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(471,plain,
! [SV120: $i,SV108: $i,SV91: $i] :
( ( ( ( SV91 != SV108 ) )
= $true )
| ( ( ~ ( rp @ SV91 @ SV120 ) )
= $true )
| ( ( rp @ SV108 @ SV120 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(472,plain,
! [SV121: $i,SV109: $i,SV92: $i] :
( ( ( ( SV92 != SV109 ) )
= $true )
| ( ( ~ ( rp @ SV121 @ SV92 ) )
= $true )
| ( ( rp @ SV121 @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[451]) ).
thf(473,plain,
! [SV122: $i,SV110: $i,SV93: $i] :
( ( ( ( SV93 != SV110 ) )
= $true )
| ( ( ~ ( rq @ SV93 @ SV122 ) )
= $true )
| ( ( rq @ SV110 @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(474,plain,
! [SV123: $i,SV111: $i,SV94: $i] :
( ( ( ( SV94 != SV111 ) )
= $true )
| ( ( ~ ( rq @ SV123 @ SV94 ) )
= $true )
| ( ( rq @ SV123 @ SV111 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(475,plain,
! [SV124: $i,SV112: $i,SV95: $i] :
( ( ( ( SV95 != SV112 ) )
= $true )
| ( ( ~ ( rr @ SV95 @ SV124 ) )
= $true )
| ( ( rr @ SV112 @ SV124 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(476,plain,
! [SV125: $i,SV113: $i,SV96: $i] :
( ( ( ( SV96 != SV113 ) )
= $true )
| ( ( ~ ( rr @ SV125 @ SV96 ) )
= $true )
| ( ( rr @ SV125 @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(477,plain,
! [SV114: $i,SV97: $i] :
( ( ( SV97 = SV114 )
= $false )
| ( ( ~ ( xsd_integer @ SV97 ) )
= $true )
| ( ( xsd_integer @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(478,plain,
! [SV115: $i,SV98: $i] :
( ( ( SV98 = SV115 )
= $false )
| ( ( ~ ( xsd_string @ SV98 ) )
= $true )
| ( ( xsd_string @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(479,plain,
! [SV127: $i] :
( ( cowlNothing @ SV127 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(480,plain,
! [SV128: $i] :
( ( ( ~ ( xsd_string @ SV128 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV128 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(481,plain,
! [SV129: $i] :
( ( ( xsd_integer @ SV129 )
= $true )
| ( ( xsd_string @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(482,plain,
! [SV104: $i,SV87: $i] :
( ( ( cA @ SV87 )
= $false )
| ( ( SV87 = SV104 )
= $false )
| ( ( cA @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(483,plain,
! [SV105: $i,SV88: $i] :
( ( ( cB @ SV88 )
= $false )
| ( ( SV88 = SV105 )
= $false )
| ( ( cB @ SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(484,plain,
! [SV106: $i,SV89: $i] :
( ( ( cowlNothing @ SV89 )
= $false )
| ( ( SV89 = SV106 )
= $false )
| ( ( cowlNothing @ SV106 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(485,plain,
! [SV107: $i,SV90: $i] :
( ( ( cowlThing @ SV90 )
= $false )
| ( ( SV90 = SV107 )
= $false )
| ( ( cowlThing @ SV107 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(486,plain,
! [SV120: $i,SV108: $i,SV91: $i] :
( ( ( SV91 = SV108 )
= $false )
| ( ( ~ ( rp @ SV91 @ SV120 ) )
= $true )
| ( ( rp @ SV108 @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(487,plain,
! [SV121: $i,SV109: $i,SV92: $i] :
( ( ( SV92 = SV109 )
= $false )
| ( ( ~ ( rp @ SV121 @ SV92 ) )
= $true )
| ( ( rp @ SV121 @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(488,plain,
! [SV122: $i,SV110: $i,SV93: $i] :
( ( ( SV93 = SV110 )
= $false )
| ( ( ~ ( rq @ SV93 @ SV122 ) )
= $true )
| ( ( rq @ SV110 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(489,plain,
! [SV123: $i,SV111: $i,SV94: $i] :
( ( ( SV94 = SV111 )
= $false )
| ( ( ~ ( rq @ SV123 @ SV94 ) )
= $true )
| ( ( rq @ SV123 @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(490,plain,
! [SV124: $i,SV112: $i,SV95: $i] :
( ( ( SV95 = SV112 )
= $false )
| ( ( ~ ( rr @ SV95 @ SV124 ) )
= $true )
| ( ( rr @ SV112 @ SV124 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(491,plain,
! [SV125: $i,SV113: $i,SV96: $i] :
( ( ( SV96 = SV113 )
= $false )
| ( ( ~ ( rr @ SV125 @ SV96 ) )
= $true )
| ( ( rr @ SV125 @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(492,plain,
! [SV114: $i,SV97: $i] :
( ( ( xsd_integer @ SV97 )
= $false )
| ( ( SV97 = SV114 )
= $false )
| ( ( xsd_integer @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(493,plain,
! [SV115: $i,SV98: $i] :
( ( ( xsd_string @ SV98 )
= $false )
| ( ( SV98 = SV115 )
= $false )
| ( ( xsd_string @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(494,plain,
! [SV128: $i] :
( ( ( xsd_string @ SV128 )
= $false )
| ( ( ~ ( xsd_integer @ SV128 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(495,plain,
! [SV108: $i,SV120: $i,SV91: $i] :
( ( ( rp @ SV91 @ SV120 )
= $false )
| ( ( SV91 = SV108 )
= $false )
| ( ( rp @ SV108 @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(496,plain,
! [SV109: $i,SV92: $i,SV121: $i] :
( ( ( rp @ SV121 @ SV92 )
= $false )
| ( ( SV92 = SV109 )
= $false )
| ( ( rp @ SV121 @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(497,plain,
! [SV110: $i,SV122: $i,SV93: $i] :
( ( ( rq @ SV93 @ SV122 )
= $false )
| ( ( SV93 = SV110 )
= $false )
| ( ( rq @ SV110 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(498,plain,
! [SV111: $i,SV94: $i,SV123: $i] :
( ( ( rq @ SV123 @ SV94 )
= $false )
| ( ( SV94 = SV111 )
= $false )
| ( ( rq @ SV123 @ SV111 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(499,plain,
! [SV112: $i,SV124: $i,SV95: $i] :
( ( ( rr @ SV95 @ SV124 )
= $false )
| ( ( SV95 = SV112 )
= $false )
| ( ( rr @ SV112 @ SV124 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(500,plain,
! [SV113: $i,SV96: $i,SV125: $i] :
( ( ( rr @ SV125 @ SV96 )
= $false )
| ( ( SV96 = SV113 )
= $false )
| ( ( rr @ SV125 @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(501,plain,
! [SV128: $i] :
( ( ( xsd_integer @ SV128 )
= $false )
| ( ( xsd_string @ SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(502,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[442,501,500,499,498,497,496,495,493,492,485,484,483,482,481,479,463,462,461,460,459,458,443]) ).
thf(503,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(504,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cB @ A )
| ( cB @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(505,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(506,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(507,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(508,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(509,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(510,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(511,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(512,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(513,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(514,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(515,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(516,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(517,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(518,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( cB @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(519,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ~ ( cB @ X ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(520,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(521,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(522,plain,
( ( ~ ( xsd_integer @ sK4_X )
& ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(523,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(524,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(525,plain,
( ( ~ ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[522]) ).
thf(526,plain,
! [SV130: $i] :
( ( ! [SY152: $i] :
( ( SV130 != SY152 )
| ~ ( cA @ SV130 )
| ( cA @ SY152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(527,plain,
! [SV131: $i] :
( ( ! [SY153: $i] :
( ( SV131 != SY153 )
| ~ ( cB @ SV131 )
| ( cB @ SY153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(528,plain,
! [SV132: $i] :
( ( ! [SY154: $i] :
( ( SV132 != SY154 )
| ~ ( cowlNothing @ SV132 )
| ( cowlNothing @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(529,plain,
! [SV133: $i] :
( ( ! [SY155: $i] :
( ( SV133 != SY155 )
| ~ ( cowlThing @ SV133 )
| ( cowlThing @ SY155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(530,plain,
! [SV134: $i] :
( ( ! [SY156: $i,SY157: $i] :
( ( SV134 != SY156 )
| ~ ( rp @ SV134 @ SY157 )
| ( rp @ SY156 @ SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(531,plain,
! [SV135: $i] :
( ( ! [SY158: $i,SY159: $i] :
( ( SV135 != SY158 )
| ~ ( rp @ SY159 @ SV135 )
| ( rp @ SY159 @ SY158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(532,plain,
! [SV136: $i] :
( ( ! [SY160: $i,SY161: $i] :
( ( SV136 != SY160 )
| ~ ( rq @ SV136 @ SY161 )
| ( rq @ SY160 @ SY161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(533,plain,
! [SV137: $i] :
( ( ! [SY162: $i,SY163: $i] :
( ( SV137 != SY162 )
| ~ ( rq @ SY163 @ SV137 )
| ( rq @ SY163 @ SY162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(534,plain,
! [SV138: $i] :
( ( ! [SY164: $i,SY165: $i] :
( ( SV138 != SY164 )
| ~ ( rr @ SV138 @ SY165 )
| ( rr @ SY164 @ SY165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(535,plain,
! [SV139: $i] :
( ( ! [SY166: $i,SY167: $i] :
( ( SV139 != SY166 )
| ~ ( rr @ SY167 @ SV139 )
| ( rr @ SY167 @ SY166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(536,plain,
! [SV140: $i] :
( ( ! [SY168: $i] :
( ( SV140 != SY168 )
| ~ ( xsd_integer @ SV140 )
| ( xsd_integer @ SY168 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(537,plain,
! [SV141: $i] :
( ( ! [SY169: $i] :
( ( SV141 != SY169 )
| ~ ( xsd_string @ SV141 )
| ( xsd_string @ SY169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(538,plain,
! [SV142: $i] :
( ( ! [SY170: $i] :
( ~ ( rp @ SV142 @ SY170 )
| ( cA @ SY170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(539,plain,
! [SV143: $i] :
( ( ! [SY171: $i] :
( ~ ( rq @ SV143 @ SY171 )
| ( cB @ SY171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(540,plain,
! [SV144: $i] :
( ( ~ ( cA @ SV144 )
| ~ ( cB @ SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(541,plain,
! [SV145: $i] :
( ( ! [SY172: $i] :
( ~ ( rq @ SV145 @ SY172 )
| ( rr @ SV145 @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(542,plain,
! [SV146: $i] :
( ( ! [SY173: $i] :
( ~ ( rp @ SV146 @ SY173 )
| ( rr @ SV146 @ SY173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(543,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(544,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(545,plain,
( ( ~ ~ ( xsd_integer @ sK4_X )
| ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(546,plain,
! [SV147: $i,SV130: $i] :
( ( ( SV130 != SV147 )
| ~ ( cA @ SV130 )
| ( cA @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(547,plain,
! [SV148: $i,SV131: $i] :
( ( ( SV131 != SV148 )
| ~ ( cB @ SV131 )
| ( cB @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(548,plain,
! [SV149: $i,SV132: $i] :
( ( ( SV132 != SV149 )
| ~ ( cowlNothing @ SV132 )
| ( cowlNothing @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(549,plain,
! [SV150: $i,SV133: $i] :
( ( ( SV133 != SV150 )
| ~ ( cowlThing @ SV133 )
| ( cowlThing @ SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(550,plain,
! [SV151: $i,SV134: $i] :
( ( ! [SY174: $i] :
( ( SV134 != SV151 )
| ~ ( rp @ SV134 @ SY174 )
| ( rp @ SV151 @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(551,plain,
! [SV152: $i,SV135: $i] :
( ( ! [SY175: $i] :
( ( SV135 != SV152 )
| ~ ( rp @ SY175 @ SV135 )
| ( rp @ SY175 @ SV152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(552,plain,
! [SV153: $i,SV136: $i] :
( ( ! [SY176: $i] :
( ( SV136 != SV153 )
| ~ ( rq @ SV136 @ SY176 )
| ( rq @ SV153 @ SY176 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(553,plain,
! [SV154: $i,SV137: $i] :
( ( ! [SY177: $i] :
( ( SV137 != SV154 )
| ~ ( rq @ SY177 @ SV137 )
| ( rq @ SY177 @ SV154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(554,plain,
! [SV155: $i,SV138: $i] :
( ( ! [SY178: $i] :
( ( SV138 != SV155 )
| ~ ( rr @ SV138 @ SY178 )
| ( rr @ SV155 @ SY178 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(555,plain,
! [SV156: $i,SV139: $i] :
( ( ! [SY179: $i] :
( ( SV139 != SV156 )
| ~ ( rr @ SY179 @ SV139 )
| ( rr @ SY179 @ SV156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(556,plain,
! [SV157: $i,SV140: $i] :
( ( ( SV140 != SV157 )
| ~ ( xsd_integer @ SV140 )
| ( xsd_integer @ SV157 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(557,plain,
! [SV158: $i,SV141: $i] :
( ( ( SV141 != SV158 )
| ~ ( xsd_string @ SV141 )
| ( xsd_string @ SV158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(558,plain,
! [SV159: $i,SV142: $i] :
( ( ~ ( rp @ SV142 @ SV159 )
| ( cA @ SV159 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(559,plain,
! [SV160: $i,SV143: $i] :
( ( ~ ( rq @ SV143 @ SV160 )
| ( cB @ SV160 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(560,plain,
! [SV144: $i] :
( ( ( ~ ( cA @ SV144 ) )
= $true )
| ( ( ~ ( cB @ SV144 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(561,plain,
! [SV161: $i,SV145: $i] :
( ( ~ ( rq @ SV145 @ SV161 )
| ( rr @ SV145 @ SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(562,plain,
! [SV162: $i,SV146: $i] :
( ( ~ ( rp @ SV146 @ SV162 )
| ( rr @ SV146 @ SV162 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(563,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(564,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(565,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(566,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(567,plain,
( ( ~ ~ ( xsd_integer @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(568,plain,
( ( ~ ~ ( xsd_string @ sK4_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(569,plain,
! [SV147: $i,SV130: $i] :
( ( ( ( SV130 != SV147 )
| ~ ( cA @ SV130 ) )
= $true )
| ( ( cA @ SV147 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(570,plain,
! [SV148: $i,SV131: $i] :
( ( ( ( SV131 != SV148 )
| ~ ( cB @ SV131 ) )
= $true )
| ( ( cB @ SV148 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(571,plain,
! [SV149: $i,SV132: $i] :
( ( ( ( SV132 != SV149 )
| ~ ( cowlNothing @ SV132 ) )
= $true )
| ( ( cowlNothing @ SV149 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(572,plain,
! [SV150: $i,SV133: $i] :
( ( ( ( SV133 != SV150 )
| ~ ( cowlThing @ SV133 ) )
= $true )
| ( ( cowlThing @ SV150 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(573,plain,
! [SV163: $i,SV151: $i,SV134: $i] :
( ( ( SV134 != SV151 )
| ~ ( rp @ SV134 @ SV163 )
| ( rp @ SV151 @ SV163 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(574,plain,
! [SV164: $i,SV152: $i,SV135: $i] :
( ( ( SV135 != SV152 )
| ~ ( rp @ SV164 @ SV135 )
| ( rp @ SV164 @ SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(575,plain,
! [SV165: $i,SV153: $i,SV136: $i] :
( ( ( SV136 != SV153 )
| ~ ( rq @ SV136 @ SV165 )
| ( rq @ SV153 @ SV165 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(576,plain,
! [SV166: $i,SV154: $i,SV137: $i] :
( ( ( SV137 != SV154 )
| ~ ( rq @ SV166 @ SV137 )
| ( rq @ SV166 @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(577,plain,
! [SV167: $i,SV155: $i,SV138: $i] :
( ( ( SV138 != SV155 )
| ~ ( rr @ SV138 @ SV167 )
| ( rr @ SV155 @ SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(578,plain,
! [SV168: $i,SV156: $i,SV139: $i] :
( ( ( SV139 != SV156 )
| ~ ( rr @ SV168 @ SV139 )
| ( rr @ SV168 @ SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(579,plain,
! [SV157: $i,SV140: $i] :
( ( ( ( SV140 != SV157 )
| ~ ( xsd_integer @ SV140 ) )
= $true )
| ( ( xsd_integer @ SV157 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(580,plain,
! [SV158: $i,SV141: $i] :
( ( ( ( SV141 != SV158 )
| ~ ( xsd_string @ SV141 ) )
= $true )
| ( ( xsd_string @ SV158 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(581,plain,
! [SV159: $i,SV142: $i] :
( ( ( ~ ( rp @ SV142 @ SV159 ) )
= $true )
| ( ( cA @ SV159 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(582,plain,
! [SV160: $i,SV143: $i] :
( ( ( ~ ( rq @ SV143 @ SV160 ) )
= $true )
| ( ( cB @ SV160 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(583,plain,
! [SV144: $i] :
( ( ( cA @ SV144 )
= $false )
| ( ( ~ ( cB @ SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(584,plain,
! [SV161: $i,SV145: $i] :
( ( ( ~ ( rq @ SV145 @ SV161 ) )
= $true )
| ( ( rr @ SV145 @ SV161 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(585,plain,
! [SV162: $i,SV146: $i] :
( ( ( ~ ( rp @ SV146 @ SV162 ) )
= $true )
| ( ( rr @ SV146 @ SV162 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(586,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(587,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(588,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(589,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(590,plain,
( ( ~ ( xsd_integer @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(591,plain,
( ( ~ ( xsd_string @ sK4_X ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(592,plain,
! [SV147: $i,SV130: $i] :
( ( ( ( SV130 != SV147 ) )
= $true )
| ( ( ~ ( cA @ SV130 ) )
= $true )
| ( ( cA @ SV147 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(593,plain,
! [SV148: $i,SV131: $i] :
( ( ( ( SV131 != SV148 ) )
= $true )
| ( ( ~ ( cB @ SV131 ) )
= $true )
| ( ( cB @ SV148 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(594,plain,
! [SV149: $i,SV132: $i] :
( ( ( ( SV132 != SV149 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV132 ) )
= $true )
| ( ( cowlNothing @ SV149 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(595,plain,
! [SV150: $i,SV133: $i] :
( ( ( ( SV133 != SV150 ) )
= $true )
| ( ( ~ ( cowlThing @ SV133 ) )
= $true )
| ( ( cowlThing @ SV150 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(596,plain,
! [SV163: $i,SV151: $i,SV134: $i] :
( ( ( ( SV134 != SV151 )
| ~ ( rp @ SV134 @ SV163 ) )
= $true )
| ( ( rp @ SV151 @ SV163 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(597,plain,
! [SV164: $i,SV152: $i,SV135: $i] :
( ( ( ( SV135 != SV152 )
| ~ ( rp @ SV164 @ SV135 ) )
= $true )
| ( ( rp @ SV164 @ SV152 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[574]) ).
thf(598,plain,
! [SV165: $i,SV153: $i,SV136: $i] :
( ( ( ( SV136 != SV153 )
| ~ ( rq @ SV136 @ SV165 ) )
= $true )
| ( ( rq @ SV153 @ SV165 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(599,plain,
! [SV166: $i,SV154: $i,SV137: $i] :
( ( ( ( SV137 != SV154 )
| ~ ( rq @ SV166 @ SV137 ) )
= $true )
| ( ( rq @ SV166 @ SV154 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(600,plain,
! [SV167: $i,SV155: $i,SV138: $i] :
( ( ( ( SV138 != SV155 )
| ~ ( rr @ SV138 @ SV167 ) )
= $true )
| ( ( rr @ SV155 @ SV167 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(601,plain,
! [SV168: $i,SV156: $i,SV139: $i] :
( ( ( ( SV139 != SV156 )
| ~ ( rr @ SV168 @ SV139 ) )
= $true )
| ( ( rr @ SV168 @ SV156 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(602,plain,
! [SV157: $i,SV140: $i] :
( ( ( ( SV140 != SV157 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV140 ) )
= $true )
| ( ( xsd_integer @ SV157 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(603,plain,
! [SV158: $i,SV141: $i] :
( ( ( ( SV141 != SV158 ) )
= $true )
| ( ( ~ ( xsd_string @ SV141 ) )
= $true )
| ( ( xsd_string @ SV158 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(604,plain,
! [SV159: $i,SV142: $i] :
( ( ( rp @ SV142 @ SV159 )
= $false )
| ( ( cA @ SV159 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(605,plain,
! [SV160: $i,SV143: $i] :
( ( ( rq @ SV143 @ SV160 )
= $false )
| ( ( cB @ SV160 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(606,plain,
! [SV144: $i] :
( ( ( cB @ SV144 )
= $false )
| ( ( cA @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(607,plain,
! [SV161: $i,SV145: $i] :
( ( ( rq @ SV145 @ SV161 )
= $false )
| ( ( rr @ SV145 @ SV161 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(608,plain,
! [SV162: $i,SV146: $i] :
( ( ( rp @ SV146 @ SV162 )
= $false )
| ( ( rr @ SV146 @ SV162 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(609,plain,
! [SV169: $i] :
( ( cowlThing @ SV169 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(610,plain,
! [SV170: $i] :
( ( ~ ( cowlNothing @ SV170 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(611,plain,
! [SV171: $i] :
( ( ~ ( xsd_string @ SV171 )
| ~ ( xsd_integer @ SV171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(612,plain,
! [SV172: $i] :
( ( ( xsd_integer @ SV172 )
| ( xsd_string @ SV172 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(613,plain,
( ( xsd_integer @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(614,plain,
( ( xsd_string @ sK4_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(615,plain,
! [SV147: $i,SV130: $i] :
( ( ( SV130 = SV147 )
= $false )
| ( ( ~ ( cA @ SV130 ) )
= $true )
| ( ( cA @ SV147 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(616,plain,
! [SV148: $i,SV131: $i] :
( ( ( SV131 = SV148 )
= $false )
| ( ( ~ ( cB @ SV131 ) )
= $true )
| ( ( cB @ SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(617,plain,
! [SV149: $i,SV132: $i] :
( ( ( SV132 = SV149 )
= $false )
| ( ( ~ ( cowlNothing @ SV132 ) )
= $true )
| ( ( cowlNothing @ SV149 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(618,plain,
! [SV150: $i,SV133: $i] :
( ( ( SV133 = SV150 )
= $false )
| ( ( ~ ( cowlThing @ SV133 ) )
= $true )
| ( ( cowlThing @ SV150 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(619,plain,
! [SV163: $i,SV151: $i,SV134: $i] :
( ( ( ( SV134 != SV151 ) )
= $true )
| ( ( ~ ( rp @ SV134 @ SV163 ) )
= $true )
| ( ( rp @ SV151 @ SV163 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(620,plain,
! [SV164: $i,SV152: $i,SV135: $i] :
( ( ( ( SV135 != SV152 ) )
= $true )
| ( ( ~ ( rp @ SV164 @ SV135 ) )
= $true )
| ( ( rp @ SV164 @ SV152 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(621,plain,
! [SV165: $i,SV153: $i,SV136: $i] :
( ( ( ( SV136 != SV153 ) )
= $true )
| ( ( ~ ( rq @ SV136 @ SV165 ) )
= $true )
| ( ( rq @ SV153 @ SV165 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(622,plain,
! [SV166: $i,SV154: $i,SV137: $i] :
( ( ( ( SV137 != SV154 ) )
= $true )
| ( ( ~ ( rq @ SV166 @ SV137 ) )
= $true )
| ( ( rq @ SV166 @ SV154 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(623,plain,
! [SV167: $i,SV155: $i,SV138: $i] :
( ( ( ( SV138 != SV155 ) )
= $true )
| ( ( ~ ( rr @ SV138 @ SV167 ) )
= $true )
| ( ( rr @ SV155 @ SV167 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(624,plain,
! [SV168: $i,SV156: $i,SV139: $i] :
( ( ( ( SV139 != SV156 ) )
= $true )
| ( ( ~ ( rr @ SV168 @ SV139 ) )
= $true )
| ( ( rr @ SV168 @ SV156 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(625,plain,
! [SV157: $i,SV140: $i] :
( ( ( SV140 = SV157 )
= $false )
| ( ( ~ ( xsd_integer @ SV140 ) )
= $true )
| ( ( xsd_integer @ SV157 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(626,plain,
! [SV158: $i,SV141: $i] :
( ( ( SV141 = SV158 )
= $false )
| ( ( ~ ( xsd_string @ SV141 ) )
= $true )
| ( ( xsd_string @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(627,plain,
! [SV170: $i] :
( ( cowlNothing @ SV170 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(628,plain,
! [SV171: $i] :
( ( ( ~ ( xsd_string @ SV171 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[611]) ).
thf(629,plain,
! [SV172: $i] :
( ( ( xsd_integer @ SV172 )
= $true )
| ( ( xsd_string @ SV172 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(630,plain,
! [SV147: $i,SV130: $i] :
( ( ( cA @ SV130 )
= $false )
| ( ( SV130 = SV147 )
= $false )
| ( ( cA @ SV147 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(631,plain,
! [SV148: $i,SV131: $i] :
( ( ( cB @ SV131 )
= $false )
| ( ( SV131 = SV148 )
= $false )
| ( ( cB @ SV148 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(632,plain,
! [SV149: $i,SV132: $i] :
( ( ( cowlNothing @ SV132 )
= $false )
| ( ( SV132 = SV149 )
= $false )
| ( ( cowlNothing @ SV149 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(633,plain,
! [SV150: $i,SV133: $i] :
( ( ( cowlThing @ SV133 )
= $false )
| ( ( SV133 = SV150 )
= $false )
| ( ( cowlThing @ SV150 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(634,plain,
! [SV163: $i,SV151: $i,SV134: $i] :
( ( ( SV134 = SV151 )
= $false )
| ( ( ~ ( rp @ SV134 @ SV163 ) )
= $true )
| ( ( rp @ SV151 @ SV163 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(635,plain,
! [SV164: $i,SV152: $i,SV135: $i] :
( ( ( SV135 = SV152 )
= $false )
| ( ( ~ ( rp @ SV164 @ SV135 ) )
= $true )
| ( ( rp @ SV164 @ SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(636,plain,
! [SV165: $i,SV153: $i,SV136: $i] :
( ( ( SV136 = SV153 )
= $false )
| ( ( ~ ( rq @ SV136 @ SV165 ) )
= $true )
| ( ( rq @ SV153 @ SV165 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(637,plain,
! [SV166: $i,SV154: $i,SV137: $i] :
( ( ( SV137 = SV154 )
= $false )
| ( ( ~ ( rq @ SV166 @ SV137 ) )
= $true )
| ( ( rq @ SV166 @ SV154 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[622]) ).
thf(638,plain,
! [SV167: $i,SV155: $i,SV138: $i] :
( ( ( SV138 = SV155 )
= $false )
| ( ( ~ ( rr @ SV138 @ SV167 ) )
= $true )
| ( ( rr @ SV155 @ SV167 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(639,plain,
! [SV168: $i,SV156: $i,SV139: $i] :
( ( ( SV139 = SV156 )
= $false )
| ( ( ~ ( rr @ SV168 @ SV139 ) )
= $true )
| ( ( rr @ SV168 @ SV156 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(640,plain,
! [SV157: $i,SV140: $i] :
( ( ( xsd_integer @ SV140 )
= $false )
| ( ( SV140 = SV157 )
= $false )
| ( ( xsd_integer @ SV157 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(641,plain,
! [SV158: $i,SV141: $i] :
( ( ( xsd_string @ SV141 )
= $false )
| ( ( SV141 = SV158 )
= $false )
| ( ( xsd_string @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(642,plain,
! [SV171: $i] :
( ( ( xsd_string @ SV171 )
= $false )
| ( ( ~ ( xsd_integer @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(643,plain,
! [SV151: $i,SV163: $i,SV134: $i] :
( ( ( rp @ SV134 @ SV163 )
= $false )
| ( ( SV134 = SV151 )
= $false )
| ( ( rp @ SV151 @ SV163 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(644,plain,
! [SV152: $i,SV135: $i,SV164: $i] :
( ( ( rp @ SV164 @ SV135 )
= $false )
| ( ( SV135 = SV152 )
= $false )
| ( ( rp @ SV164 @ SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(645,plain,
! [SV153: $i,SV165: $i,SV136: $i] :
( ( ( rq @ SV136 @ SV165 )
= $false )
| ( ( SV136 = SV153 )
= $false )
| ( ( rq @ SV153 @ SV165 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(646,plain,
! [SV154: $i,SV137: $i,SV166: $i] :
( ( ( rq @ SV166 @ SV137 )
= $false )
| ( ( SV137 = SV154 )
= $false )
| ( ( rq @ SV166 @ SV154 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(647,plain,
! [SV155: $i,SV167: $i,SV138: $i] :
( ( ( rr @ SV138 @ SV167 )
= $false )
| ( ( SV138 = SV155 )
= $false )
| ( ( rr @ SV155 @ SV167 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(648,plain,
! [SV156: $i,SV139: $i,SV168: $i] :
( ( ( rr @ SV168 @ SV139 )
= $false )
| ( ( SV139 = SV156 )
= $false )
| ( ( rr @ SV168 @ SV156 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(649,plain,
! [SV171: $i] :
( ( ( xsd_integer @ SV171 )
= $false )
| ( ( xsd_string @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(650,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[604,649,648,647,646,645,644,643,641,640,633,632,631,630,629,627,614,613,609,608,607,606,605]) ).
thf(651,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cA @ A )
| ( cA @ B ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(652,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cB @ A )
| ( cB @ B ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(653,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlNothing @ A )
| ( cowlNothing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(654,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( cowlThing @ A )
| ( cowlThing @ B ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(655,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ A @ C )
| ( rp @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(656,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rp @ C @ A )
| ( rp @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(657,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ A @ C )
| ( rq @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(658,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rq @ C @ A )
| ( rq @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(659,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ A @ C )
| ( rr @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(660,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( A != B )
| ~ ( rr @ C @ A )
| ( rr @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(661,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_integer @ A )
| ( xsd_integer @ B ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(662,plain,
( ( ! [A: $i,B: $i] :
( ( A != B )
| ~ ( xsd_string @ A )
| ( xsd_string @ B ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(663,plain,
( ( ! [X: $i] : ( cowlThing @ X )
& ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(664,plain,
( ( ! [X: $i] :
( ~ ( xsd_string @ X )
| ~ ( xsd_integer @ X ) )
& ! [X: $i] :
( ( xsd_integer @ X )
| ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(665,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( cA @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(666,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( cB @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(667,plain,
( ( ! [X: $i] :
( ~ ( cA @ X )
| ~ ( cB @ X ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(668,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rq @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(669,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( rp @ X @ Y )
| ( rr @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(670,plain,
( ( ( sK9_SY54 != sK10_SY67 )
& ( rp @ sK5_X @ sK9_SY54 )
& ( rp @ sK5_X @ sK10_SY67 )
& ( sK7_SY64 != sK8_SY66 )
& ( sK6_SY56 != sK8_SY66 )
& ( sK6_SY56 != sK7_SY64 )
& ( rq @ sK5_X @ sK6_SY56 )
& ( rq @ sK5_X @ sK7_SY64 )
& ( rq @ sK5_X @ sK8_SY66 )
& ! [SY59: $i,SY60: $i,SY61: $i,SY62: $i,SY63: $i] :
( ( SY62 = SY63 )
| ( SY61 = SY63 )
| ( SY61 = SY62 )
| ( SY60 = SY63 )
| ( SY60 = SY62 )
| ( SY60 = SY61 )
| ( SY59 = SY63 )
| ( SY59 = SY62 )
| ( SY59 = SY61 )
| ( SY59 = SY60 )
| ~ ( rr @ sK5_X @ SY59 )
| ~ ( rr @ sK5_X @ SY60 )
| ~ ( rr @ sK5_X @ SY61 )
| ~ ( rr @ sK5_X @ SY62 )
| ~ ( rr @ sK5_X @ SY63 ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(671,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK9_SY54 != sK10_SY67 ) )
| ~ ~ ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) ) )
| ~ ~ ( ~ ( ( sK7_SY64 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( SX3 = SX4 )
| ( SX2 = SX4 )
| ( SX2 = SX3 )
| ( SX1 = SX4 )
| ( SX1 = SX3 )
| ( SX1 = SX2 )
| ( SX0 = SX4 )
| ( SX0 = SX3 )
| ( SX0 = SX2 )
| ( SX0 = SX1 )
| ~ ( rr @ sK5_X @ SX0 )
| ~ ( rr @ sK5_X @ SX1 )
| ~ ( rr @ sK5_X @ SX2 )
| ~ ( rr @ sK5_X @ SX3 )
| ~ ( rr @ sK5_X @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[670]) ).
thf(672,plain,
( ( ~ ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[663]) ).
thf(673,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[664]) ).
thf(674,plain,
! [SV173: $i] :
( ( ! [SY180: $i] :
( ( SV173 != SY180 )
| ~ ( cA @ SV173 )
| ( cA @ SY180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(675,plain,
! [SV174: $i] :
( ( ! [SY181: $i] :
( ( SV174 != SY181 )
| ~ ( cB @ SV174 )
| ( cB @ SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(676,plain,
! [SV175: $i] :
( ( ! [SY182: $i] :
( ( SV175 != SY182 )
| ~ ( cowlNothing @ SV175 )
| ( cowlNothing @ SY182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(677,plain,
! [SV176: $i] :
( ( ! [SY183: $i] :
( ( SV176 != SY183 )
| ~ ( cowlThing @ SV176 )
| ( cowlThing @ SY183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(678,plain,
! [SV177: $i] :
( ( ! [SY184: $i,SY185: $i] :
( ( SV177 != SY184 )
| ~ ( rp @ SV177 @ SY185 )
| ( rp @ SY184 @ SY185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(679,plain,
! [SV178: $i] :
( ( ! [SY186: $i,SY187: $i] :
( ( SV178 != SY186 )
| ~ ( rp @ SY187 @ SV178 )
| ( rp @ SY187 @ SY186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(680,plain,
! [SV179: $i] :
( ( ! [SY188: $i,SY189: $i] :
( ( SV179 != SY188 )
| ~ ( rq @ SV179 @ SY189 )
| ( rq @ SY188 @ SY189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(681,plain,
! [SV180: $i] :
( ( ! [SY190: $i,SY191: $i] :
( ( SV180 != SY190 )
| ~ ( rq @ SY191 @ SV180 )
| ( rq @ SY191 @ SY190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(682,plain,
! [SV181: $i] :
( ( ! [SY192: $i,SY193: $i] :
( ( SV181 != SY192 )
| ~ ( rr @ SV181 @ SY193 )
| ( rr @ SY192 @ SY193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(683,plain,
! [SV182: $i] :
( ( ! [SY194: $i,SY195: $i] :
( ( SV182 != SY194 )
| ~ ( rr @ SY195 @ SV182 )
| ( rr @ SY195 @ SY194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(684,plain,
! [SV183: $i] :
( ( ! [SY196: $i] :
( ( SV183 != SY196 )
| ~ ( xsd_integer @ SV183 )
| ( xsd_integer @ SY196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(685,plain,
! [SV184: $i] :
( ( ! [SY197: $i] :
( ( SV184 != SY197 )
| ~ ( xsd_string @ SV184 )
| ( xsd_string @ SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(686,plain,
! [SV185: $i] :
( ( ! [SY198: $i] :
( ~ ( rp @ SV185 @ SY198 )
| ( cA @ SY198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(687,plain,
! [SV186: $i] :
( ( ! [SY199: $i] :
( ~ ( rq @ SV186 @ SY199 )
| ( cB @ SY199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(688,plain,
! [SV187: $i] :
( ( ~ ( cA @ SV187 )
| ~ ( cB @ SV187 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(689,plain,
! [SV188: $i] :
( ( ! [SY200: $i] :
( ~ ( rq @ SV188 @ SY200 )
| ( rr @ SV188 @ SY200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(690,plain,
! [SV189: $i] :
( ( ! [SY201: $i] :
( ~ ( rp @ SV189 @ SY201 )
| ( rr @ SV189 @ SY201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(691,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( sK9_SY54 != sK10_SY67 ) )
| ~ ~ ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) ) )
| ~ ~ ( ~ ( ( sK7_SY64 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( SX3 = SX4 )
| ( SX2 = SX4 )
| ( SX2 = SX3 )
| ( SX1 = SX4 )
| ( SX1 = SX3 )
| ( SX1 = SX2 )
| ( SX0 = SX4 )
| ( SX0 = SX3 )
| ( SX0 = SX2 )
| ( SX0 = SX1 )
| ~ ( rr @ sK5_X @ SX0 )
| ~ ( rr @ sK5_X @ SX1 )
| ~ ( rr @ sK5_X @ SX2 )
| ~ ( rr @ sK5_X @ SX3 )
| ~ ( rr @ sK5_X @ SX4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(692,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 )
| ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[672]) ).
thf(693,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(694,plain,
! [SV190: $i,SV173: $i] :
( ( ( SV173 != SV190 )
| ~ ( cA @ SV173 )
| ( cA @ SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(695,plain,
! [SV191: $i,SV174: $i] :
( ( ( SV174 != SV191 )
| ~ ( cB @ SV174 )
| ( cB @ SV191 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(696,plain,
! [SV192: $i,SV175: $i] :
( ( ( SV175 != SV192 )
| ~ ( cowlNothing @ SV175 )
| ( cowlNothing @ SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(697,plain,
! [SV193: $i,SV176: $i] :
( ( ( SV176 != SV193 )
| ~ ( cowlThing @ SV176 )
| ( cowlThing @ SV193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(698,plain,
! [SV194: $i,SV177: $i] :
( ( ! [SY202: $i] :
( ( SV177 != SV194 )
| ~ ( rp @ SV177 @ SY202 )
| ( rp @ SV194 @ SY202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(699,plain,
! [SV195: $i,SV178: $i] :
( ( ! [SY203: $i] :
( ( SV178 != SV195 )
| ~ ( rp @ SY203 @ SV178 )
| ( rp @ SY203 @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(700,plain,
! [SV196: $i,SV179: $i] :
( ( ! [SY204: $i] :
( ( SV179 != SV196 )
| ~ ( rq @ SV179 @ SY204 )
| ( rq @ SV196 @ SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(701,plain,
! [SV197: $i,SV180: $i] :
( ( ! [SY205: $i] :
( ( SV180 != SV197 )
| ~ ( rq @ SY205 @ SV180 )
| ( rq @ SY205 @ SV197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(702,plain,
! [SV198: $i,SV181: $i] :
( ( ! [SY206: $i] :
( ( SV181 != SV198 )
| ~ ( rr @ SV181 @ SY206 )
| ( rr @ SV198 @ SY206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(703,plain,
! [SV199: $i,SV182: $i] :
( ( ! [SY207: $i] :
( ( SV182 != SV199 )
| ~ ( rr @ SY207 @ SV182 )
| ( rr @ SY207 @ SV199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(704,plain,
! [SV200: $i,SV183: $i] :
( ( ( SV183 != SV200 )
| ~ ( xsd_integer @ SV183 )
| ( xsd_integer @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(705,plain,
! [SV201: $i,SV184: $i] :
( ( ( SV184 != SV201 )
| ~ ( xsd_string @ SV184 )
| ( xsd_string @ SV201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(706,plain,
! [SV202: $i,SV185: $i] :
( ( ~ ( rp @ SV185 @ SV202 )
| ( cA @ SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(707,plain,
! [SV203: $i,SV186: $i] :
( ( ~ ( rq @ SV186 @ SV203 )
| ( cB @ SV203 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(708,plain,
! [SV187: $i] :
( ( ( ~ ( cA @ SV187 ) )
= $true )
| ( ( ~ ( cB @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(709,plain,
! [SV204: $i,SV188: $i] :
( ( ~ ( rq @ SV188 @ SV204 )
| ( rr @ SV188 @ SV204 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(710,plain,
! [SV205: $i,SV189: $i] :
( ( ~ ( rp @ SV189 @ SV205 )
| ( rr @ SV189 @ SV205 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(711,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( sK9_SY54 != sK10_SY67 ) )
| ~ ~ ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) ) )
| ~ ~ ( ~ ( ( sK7_SY64 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(712,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( SX3 = SX4 )
| ( SX2 = SX4 )
| ( SX2 = SX3 )
| ( SX1 = SX4 )
| ( SX1 = SX3 )
| ( SX1 = SX2 )
| ( SX0 = SX4 )
| ( SX0 = SX3 )
| ( SX0 = SX2 )
| ( SX0 = SX1 )
| ~ ( rr @ sK5_X @ SX0 )
| ~ ( rr @ sK5_X @ SX1 )
| ~ ( rr @ sK5_X @ SX2 )
| ~ ( rr @ sK5_X @ SX3 )
| ~ ( rr @ sK5_X @ SX4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(713,plain,
( ( ~ ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(714,plain,
( ( ~ ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[692]) ).
thf(715,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(716,plain,
( ( ~ ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[693]) ).
thf(717,plain,
! [SV190: $i,SV173: $i] :
( ( ( ( SV173 != SV190 )
| ~ ( cA @ SV173 ) )
= $true )
| ( ( cA @ SV190 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(718,plain,
! [SV191: $i,SV174: $i] :
( ( ( ( SV174 != SV191 )
| ~ ( cB @ SV174 ) )
= $true )
| ( ( cB @ SV191 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(719,plain,
! [SV192: $i,SV175: $i] :
( ( ( ( SV175 != SV192 )
| ~ ( cowlNothing @ SV175 ) )
= $true )
| ( ( cowlNothing @ SV192 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(720,plain,
! [SV193: $i,SV176: $i] :
( ( ( ( SV176 != SV193 )
| ~ ( cowlThing @ SV176 ) )
= $true )
| ( ( cowlThing @ SV193 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(721,plain,
! [SV206: $i,SV194: $i,SV177: $i] :
( ( ( SV177 != SV194 )
| ~ ( rp @ SV177 @ SV206 )
| ( rp @ SV194 @ SV206 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(722,plain,
! [SV207: $i,SV195: $i,SV178: $i] :
( ( ( SV178 != SV195 )
| ~ ( rp @ SV207 @ SV178 )
| ( rp @ SV207 @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(723,plain,
! [SV208: $i,SV196: $i,SV179: $i] :
( ( ( SV179 != SV196 )
| ~ ( rq @ SV179 @ SV208 )
| ( rq @ SV196 @ SV208 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(724,plain,
! [SV209: $i,SV197: $i,SV180: $i] :
( ( ( SV180 != SV197 )
| ~ ( rq @ SV209 @ SV180 )
| ( rq @ SV209 @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(725,plain,
! [SV210: $i,SV198: $i,SV181: $i] :
( ( ( SV181 != SV198 )
| ~ ( rr @ SV181 @ SV210 )
| ( rr @ SV198 @ SV210 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(726,plain,
! [SV211: $i,SV199: $i,SV182: $i] :
( ( ( SV182 != SV199 )
| ~ ( rr @ SV211 @ SV182 )
| ( rr @ SV211 @ SV199 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(727,plain,
! [SV200: $i,SV183: $i] :
( ( ( ( SV183 != SV200 )
| ~ ( xsd_integer @ SV183 ) )
= $true )
| ( ( xsd_integer @ SV200 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(728,plain,
! [SV201: $i,SV184: $i] :
( ( ( ( SV184 != SV201 )
| ~ ( xsd_string @ SV184 ) )
= $true )
| ( ( xsd_string @ SV201 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(729,plain,
! [SV202: $i,SV185: $i] :
( ( ( ~ ( rp @ SV185 @ SV202 ) )
= $true )
| ( ( cA @ SV202 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(730,plain,
! [SV203: $i,SV186: $i] :
( ( ( ~ ( rq @ SV186 @ SV203 ) )
= $true )
| ( ( cB @ SV203 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(731,plain,
! [SV187: $i] :
( ( ( cA @ SV187 )
= $false )
| ( ( ~ ( cB @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(732,plain,
! [SV204: $i,SV188: $i] :
( ( ( ~ ( rq @ SV188 @ SV204 ) )
= $true )
| ( ( rr @ SV188 @ SV204 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(733,plain,
! [SV205: $i,SV189: $i] :
( ( ( ~ ( rp @ SV189 @ SV205 ) )
= $true )
| ( ( rr @ SV189 @ SV205 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(734,plain,
( ( ~ ( ~ ~ ( ~ ( ( sK9_SY54 != sK10_SY67 ) )
| ~ ~ ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) ) )
| ~ ~ ( ~ ( ( sK7_SY64 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(735,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( SX3 = SX4 )
| ( SX2 = SX4 )
| ( SX2 = SX3 )
| ( SX1 = SX4 )
| ( SX1 = SX3 )
| ( SX1 = SX2 )
| ( SX0 = SX4 )
| ( SX0 = SX3 )
| ( SX0 = SX2 )
| ( SX0 = SX1 )
| ~ ( rr @ sK5_X @ SX0 )
| ~ ( rr @ sK5_X @ SX1 )
| ~ ( rr @ sK5_X @ SX2 )
| ~ ( rr @ sK5_X @ SX3 )
| ~ ( rr @ sK5_X @ SX4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(736,plain,
( ( ! [SX0: $i] : ( cowlThing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[713]) ).
thf(737,plain,
( ( ! [SX0: $i] :
~ ( cowlNothing @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(738,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(739,plain,
( ( ! [SX0: $i] :
( ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(740,plain,
! [SV190: $i,SV173: $i] :
( ( ( ( SV173 != SV190 ) )
= $true )
| ( ( ~ ( cA @ SV173 ) )
= $true )
| ( ( cA @ SV190 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(741,plain,
! [SV191: $i,SV174: $i] :
( ( ( ( SV174 != SV191 ) )
= $true )
| ( ( ~ ( cB @ SV174 ) )
= $true )
| ( ( cB @ SV191 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(742,plain,
! [SV192: $i,SV175: $i] :
( ( ( ( SV175 != SV192 ) )
= $true )
| ( ( ~ ( cowlNothing @ SV175 ) )
= $true )
| ( ( cowlNothing @ SV192 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(743,plain,
! [SV193: $i,SV176: $i] :
( ( ( ( SV176 != SV193 ) )
= $true )
| ( ( ~ ( cowlThing @ SV176 ) )
= $true )
| ( ( cowlThing @ SV193 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(744,plain,
! [SV206: $i,SV194: $i,SV177: $i] :
( ( ( ( SV177 != SV194 )
| ~ ( rp @ SV177 @ SV206 ) )
= $true )
| ( ( rp @ SV194 @ SV206 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[721]) ).
thf(745,plain,
! [SV207: $i,SV195: $i,SV178: $i] :
( ( ( ( SV178 != SV195 )
| ~ ( rp @ SV207 @ SV178 ) )
= $true )
| ( ( rp @ SV207 @ SV195 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(746,plain,
! [SV208: $i,SV196: $i,SV179: $i] :
( ( ( ( SV179 != SV196 )
| ~ ( rq @ SV179 @ SV208 ) )
= $true )
| ( ( rq @ SV196 @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(747,plain,
! [SV209: $i,SV197: $i,SV180: $i] :
( ( ( ( SV180 != SV197 )
| ~ ( rq @ SV209 @ SV180 ) )
= $true )
| ( ( rq @ SV209 @ SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(748,plain,
! [SV210: $i,SV198: $i,SV181: $i] :
( ( ( ( SV181 != SV198 )
| ~ ( rr @ SV181 @ SV210 ) )
= $true )
| ( ( rr @ SV198 @ SV210 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(749,plain,
! [SV211: $i,SV199: $i,SV182: $i] :
( ( ( ( SV182 != SV199 )
| ~ ( rr @ SV211 @ SV182 ) )
= $true )
| ( ( rr @ SV211 @ SV199 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(750,plain,
! [SV200: $i,SV183: $i] :
( ( ( ( SV183 != SV200 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV183 ) )
= $true )
| ( ( xsd_integer @ SV200 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[727]) ).
thf(751,plain,
! [SV201: $i,SV184: $i] :
( ( ( ( SV184 != SV201 ) )
= $true )
| ( ( ~ ( xsd_string @ SV184 ) )
= $true )
| ( ( xsd_string @ SV201 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(752,plain,
! [SV202: $i,SV185: $i] :
( ( ( rp @ SV185 @ SV202 )
= $false )
| ( ( cA @ SV202 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(753,plain,
! [SV203: $i,SV186: $i] :
( ( ( rq @ SV186 @ SV203 )
= $false )
| ( ( cB @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(754,plain,
! [SV187: $i] :
( ( ( cB @ SV187 )
= $false )
| ( ( cA @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(755,plain,
! [SV204: $i,SV188: $i] :
( ( ( rq @ SV188 @ SV204 )
= $false )
| ( ( rr @ SV188 @ SV204 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(756,plain,
! [SV205: $i,SV189: $i] :
( ( ( rp @ SV189 @ SV205 )
= $false )
| ( ( rr @ SV189 @ SV205 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(757,plain,
( ( ~ ~ ( ~ ( ( sK9_SY54 != sK10_SY67 ) )
| ~ ~ ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) ) )
| ~ ~ ( ~ ( ( sK7_SY64 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(758,plain,
! [SV212: $i] :
( ( ! [SY208: $i,SY209: $i,SY210: $i,SY211: $i] :
( ( SY210 = SY211 )
| ( SY209 = SY211 )
| ( SY209 = SY210 )
| ( SY208 = SY211 )
| ( SY208 = SY210 )
| ( SY208 = SY209 )
| ( SV212 = SY211 )
| ( SV212 = SY210 )
| ( SV212 = SY209 )
| ( SV212 = SY208 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SY208 )
| ~ ( rr @ sK5_X @ SY209 )
| ~ ( rr @ sK5_X @ SY210 )
| ~ ( rr @ sK5_X @ SY211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(759,plain,
! [SV213: $i] :
( ( cowlThing @ SV213 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(760,plain,
! [SV214: $i] :
( ( ~ ( cowlNothing @ SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(761,plain,
! [SV215: $i] :
( ( ~ ( xsd_string @ SV215 )
| ~ ( xsd_integer @ SV215 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(762,plain,
! [SV216: $i] :
( ( ( xsd_integer @ SV216 )
| ( xsd_string @ SV216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(763,plain,
! [SV190: $i,SV173: $i] :
( ( ( SV173 = SV190 )
= $false )
| ( ( ~ ( cA @ SV173 ) )
= $true )
| ( ( cA @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(764,plain,
! [SV191: $i,SV174: $i] :
( ( ( SV174 = SV191 )
= $false )
| ( ( ~ ( cB @ SV174 ) )
= $true )
| ( ( cB @ SV191 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(765,plain,
! [SV192: $i,SV175: $i] :
( ( ( SV175 = SV192 )
= $false )
| ( ( ~ ( cowlNothing @ SV175 ) )
= $true )
| ( ( cowlNothing @ SV192 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(766,plain,
! [SV193: $i,SV176: $i] :
( ( ( SV176 = SV193 )
= $false )
| ( ( ~ ( cowlThing @ SV176 ) )
= $true )
| ( ( cowlThing @ SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(767,plain,
! [SV206: $i,SV194: $i,SV177: $i] :
( ( ( ( SV177 != SV194 ) )
= $true )
| ( ( ~ ( rp @ SV177 @ SV206 ) )
= $true )
| ( ( rp @ SV194 @ SV206 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(768,plain,
! [SV207: $i,SV195: $i,SV178: $i] :
( ( ( ( SV178 != SV195 ) )
= $true )
| ( ( ~ ( rp @ SV207 @ SV178 ) )
= $true )
| ( ( rp @ SV207 @ SV195 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(769,plain,
! [SV208: $i,SV196: $i,SV179: $i] :
( ( ( ( SV179 != SV196 ) )
= $true )
| ( ( ~ ( rq @ SV179 @ SV208 ) )
= $true )
| ( ( rq @ SV196 @ SV208 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(770,plain,
! [SV209: $i,SV197: $i,SV180: $i] :
( ( ( ( SV180 != SV197 ) )
= $true )
| ( ( ~ ( rq @ SV209 @ SV180 ) )
= $true )
| ( ( rq @ SV209 @ SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(771,plain,
! [SV210: $i,SV198: $i,SV181: $i] :
( ( ( ( SV181 != SV198 ) )
= $true )
| ( ( ~ ( rr @ SV181 @ SV210 ) )
= $true )
| ( ( rr @ SV198 @ SV210 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[748]) ).
thf(772,plain,
! [SV211: $i,SV199: $i,SV182: $i] :
( ( ( ( SV182 != SV199 ) )
= $true )
| ( ( ~ ( rr @ SV211 @ SV182 ) )
= $true )
| ( ( rr @ SV211 @ SV199 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(773,plain,
! [SV200: $i,SV183: $i] :
( ( ( SV183 = SV200 )
= $false )
| ( ( ~ ( xsd_integer @ SV183 ) )
= $true )
| ( ( xsd_integer @ SV200 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(774,plain,
! [SV201: $i,SV184: $i] :
( ( ( SV184 = SV201 )
= $false )
| ( ( ~ ( xsd_string @ SV184 ) )
= $true )
| ( ( xsd_string @ SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(775,plain,
( ( ~ ~ ( ~ ( ( sK9_SY54 != sK10_SY67 ) )
| ~ ~ ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(776,plain,
( ( ~ ~ ( ~ ( ( sK7_SY64 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(777,plain,
! [SV212: $i,SV217: $i] :
( ( ! [SY212: $i,SY213: $i,SY214: $i] :
( ( SY213 = SY214 )
| ( SY212 = SY214 )
| ( SY212 = SY213 )
| ( SV217 = SY214 )
| ( SV217 = SY213 )
| ( SV217 = SY212 )
| ( SV212 = SY214 )
| ( SV212 = SY213 )
| ( SV212 = SY212 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SY212 )
| ~ ( rr @ sK5_X @ SY213 )
| ~ ( rr @ sK5_X @ SY214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(778,plain,
! [SV214: $i] :
( ( cowlNothing @ SV214 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(779,plain,
! [SV215: $i] :
( ( ( ~ ( xsd_string @ SV215 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV215 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(780,plain,
! [SV216: $i] :
( ( ( xsd_integer @ SV216 )
= $true )
| ( ( xsd_string @ SV216 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(781,plain,
! [SV190: $i,SV173: $i] :
( ( ( cA @ SV173 )
= $false )
| ( ( SV173 = SV190 )
= $false )
| ( ( cA @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(782,plain,
! [SV191: $i,SV174: $i] :
( ( ( cB @ SV174 )
= $false )
| ( ( SV174 = SV191 )
= $false )
| ( ( cB @ SV191 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(783,plain,
! [SV192: $i,SV175: $i] :
( ( ( cowlNothing @ SV175 )
= $false )
| ( ( SV175 = SV192 )
= $false )
| ( ( cowlNothing @ SV192 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(784,plain,
! [SV193: $i,SV176: $i] :
( ( ( cowlThing @ SV176 )
= $false )
| ( ( SV176 = SV193 )
= $false )
| ( ( cowlThing @ SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(785,plain,
! [SV206: $i,SV194: $i,SV177: $i] :
( ( ( SV177 = SV194 )
= $false )
| ( ( ~ ( rp @ SV177 @ SV206 ) )
= $true )
| ( ( rp @ SV194 @ SV206 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(786,plain,
! [SV207: $i,SV195: $i,SV178: $i] :
( ( ( SV178 = SV195 )
= $false )
| ( ( ~ ( rp @ SV207 @ SV178 ) )
= $true )
| ( ( rp @ SV207 @ SV195 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(787,plain,
! [SV208: $i,SV196: $i,SV179: $i] :
( ( ( SV179 = SV196 )
= $false )
| ( ( ~ ( rq @ SV179 @ SV208 ) )
= $true )
| ( ( rq @ SV196 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(788,plain,
! [SV209: $i,SV197: $i,SV180: $i] :
( ( ( SV180 = SV197 )
= $false )
| ( ( ~ ( rq @ SV209 @ SV180 ) )
= $true )
| ( ( rq @ SV209 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(789,plain,
! [SV210: $i,SV198: $i,SV181: $i] :
( ( ( SV181 = SV198 )
= $false )
| ( ( ~ ( rr @ SV181 @ SV210 ) )
= $true )
| ( ( rr @ SV198 @ SV210 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(790,plain,
! [SV211: $i,SV199: $i,SV182: $i] :
( ( ( SV182 = SV199 )
= $false )
| ( ( ~ ( rr @ SV211 @ SV182 ) )
= $true )
| ( ( rr @ SV211 @ SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(791,plain,
! [SV200: $i,SV183: $i] :
( ( ( xsd_integer @ SV183 )
= $false )
| ( ( SV183 = SV200 )
= $false )
| ( ( xsd_integer @ SV200 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(792,plain,
! [SV201: $i,SV184: $i] :
( ( ( xsd_string @ SV184 )
= $false )
| ( ( SV184 = SV201 )
= $false )
| ( ( xsd_string @ SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(793,plain,
( ( ~ ( ~ ( ( sK9_SY54 != sK10_SY67 ) )
| ~ ~ ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(794,plain,
( ( ~ ( ~ ( ( sK7_SY64 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(795,plain,
! [SV212: $i,SV217: $i,SV218: $i] :
( ( ! [SY215: $i,SY216: $i] :
( ( SY215 = SY216 )
| ( SV218 = SY216 )
| ( SV218 = SY215 )
| ( SV217 = SY216 )
| ( SV217 = SY215 )
| ( SV217 = SV218 )
| ( SV212 = SY216 )
| ( SV212 = SY215 )
| ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SY215 )
| ~ ( rr @ sK5_X @ SY216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(796,plain,
! [SV215: $i] :
( ( ( xsd_string @ SV215 )
= $false )
| ( ( ~ ( xsd_integer @ SV215 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(797,plain,
! [SV194: $i,SV206: $i,SV177: $i] :
( ( ( rp @ SV177 @ SV206 )
= $false )
| ( ( SV177 = SV194 )
= $false )
| ( ( rp @ SV194 @ SV206 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(798,plain,
! [SV195: $i,SV178: $i,SV207: $i] :
( ( ( rp @ SV207 @ SV178 )
= $false )
| ( ( SV178 = SV195 )
= $false )
| ( ( rp @ SV207 @ SV195 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(799,plain,
! [SV196: $i,SV208: $i,SV179: $i] :
( ( ( rq @ SV179 @ SV208 )
= $false )
| ( ( SV179 = SV196 )
= $false )
| ( ( rq @ SV196 @ SV208 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(800,plain,
! [SV197: $i,SV180: $i,SV209: $i] :
( ( ( rq @ SV209 @ SV180 )
= $false )
| ( ( SV180 = SV197 )
= $false )
| ( ( rq @ SV209 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(801,plain,
! [SV198: $i,SV210: $i,SV181: $i] :
( ( ( rr @ SV181 @ SV210 )
= $false )
| ( ( SV181 = SV198 )
= $false )
| ( ( rr @ SV198 @ SV210 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(802,plain,
! [SV199: $i,SV182: $i,SV211: $i] :
( ( ( rr @ SV211 @ SV182 )
= $false )
| ( ( SV182 = SV199 )
= $false )
| ( ( rr @ SV211 @ SV199 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(803,plain,
( ( ~ ( ( sK9_SY54 != sK10_SY67 ) )
| ~ ~ ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(804,plain,
( ( ~ ( ( sK7_SY64 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(805,plain,
! [SV212: $i,SV217: $i,SV218: $i,SV219: $i] :
( ( ! [SY217: $i] :
( ( SV219 = SY217 )
| ( SV218 = SY217 )
| ( SV218 = SV219 )
| ( SV217 = SY217 )
| ( SV217 = SV219 )
| ( SV217 = SV218 )
| ( SV212 = SY217 )
| ( SV212 = SV219 )
| ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SY217 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(806,plain,
! [SV215: $i] :
( ( ( xsd_integer @ SV215 )
= $false )
| ( ( xsd_string @ SV215 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(807,plain,
( ( ~ ( ( sK9_SY54 != sK10_SY67 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(808,plain,
( ( ~ ~ ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(809,plain,
( ( ~ ( ( sK7_SY64 != sK8_SY66 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[804]) ).
thf(810,plain,
( ( ~ ~ ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[804]) ).
thf(811,plain,
! [SV212: $i,SV217: $i,SV218: $i,SV220: $i,SV219: $i] :
( ( ( SV219 = SV220 )
| ( SV218 = SV220 )
| ( SV218 = SV219 )
| ( SV217 = SV220 )
| ( SV217 = SV219 )
| ( SV217 = SV218 )
| ( SV212 = SV220 )
| ( SV212 = SV219 )
| ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(812,plain,
( ( ( sK9_SY54 != sK10_SY67 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(813,plain,
( ( ~ ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(814,plain,
( ( ( sK7_SY64 != sK8_SY66 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(815,plain,
( ( ~ ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(816,plain,
! [SV212: $i,SV217: $i,SV218: $i,SV220: $i,SV219: $i] :
( ( ( SV219 = SV220 )
= $true )
| ( ( ( SV218 = SV220 )
| ( SV218 = SV219 )
| ( SV217 = SV220 )
| ( SV217 = SV219 )
| ( SV217 = SV218 )
| ( SV212 = SV220 )
| ( SV212 = SV219 )
| ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(817,plain,
( ( sK9_SY54 = sK10_SY67 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(818,plain,
( ( ~ ( rp @ sK5_X @ sK9_SY54 )
| ~ ( rp @ sK5_X @ sK10_SY67 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(819,plain,
( ( sK7_SY64 = sK8_SY66 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(820,plain,
( ( ~ ( ( sK6_SY56 != sK8_SY66 ) )
| ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(821,plain,
! [SV212: $i,SV217: $i,SV219: $i,SV220: $i,SV218: $i] :
( ( ( SV218 = SV220 )
= $true )
| ( ( ( SV218 = SV219 )
| ( SV217 = SV220 )
| ( SV217 = SV219 )
| ( SV217 = SV218 )
| ( SV212 = SV220 )
| ( SV212 = SV219 )
| ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(822,plain,
( ( ~ ( rp @ sK5_X @ sK9_SY54 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(823,plain,
( ( ~ ( rp @ sK5_X @ sK10_SY67 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(824,plain,
( ( ~ ( ( sK6_SY56 != sK8_SY66 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(825,plain,
( ( ~ ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(826,plain,
! [SV212: $i,SV220: $i,SV217: $i,SV219: $i,SV218: $i] :
( ( ( SV218 = SV219 )
= $true )
| ( ( ( SV217 = SV220 )
| ( SV217 = SV219 )
| ( SV217 = SV218 )
| ( SV212 = SV220 )
| ( SV212 = SV219 )
| ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(827,plain,
( ( rp @ sK5_X @ sK9_SY54 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(828,plain,
( ( rp @ sK5_X @ sK10_SY67 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(829,plain,
( ( ( sK6_SY56 != sK8_SY66 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[824]) ).
thf(830,plain,
( ( ~ ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(831,plain,
! [SV212: $i,SV218: $i,SV219: $i,SV220: $i,SV217: $i] :
( ( ( SV217 = SV220 )
= $true )
| ( ( ( SV217 = SV219 )
| ( SV217 = SV218 )
| ( SV212 = SV220 )
| ( SV212 = SV219 )
| ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[826]) ).
thf(832,plain,
( ( sK6_SY56 = sK8_SY66 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(833,plain,
( ( ~ ( ( sK6_SY56 != sK7_SY64 ) )
| ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(834,plain,
! [SV220: $i,SV212: $i,SV218: $i,SV219: $i,SV217: $i] :
( ( ( SV217 = SV219 )
= $true )
| ( ( ( SV217 = SV218 )
| ( SV212 = SV220 )
| ( SV212 = SV219 )
| ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(835,plain,
( ( ~ ( ( sK6_SY56 != sK7_SY64 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(836,plain,
( ( ~ ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[833]) ).
thf(837,plain,
! [SV219: $i,SV220: $i,SV212: $i,SV218: $i,SV217: $i] :
( ( ( SV217 = SV218 )
= $true )
| ( ( ( SV212 = SV220 )
| ( SV212 = SV219 )
| ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(838,plain,
( ( ( sK6_SY56 != sK7_SY64 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(839,plain,
( ( ~ ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(840,plain,
! [SV217: $i,SV218: $i,SV219: $i,SV220: $i,SV212: $i] :
( ( ( SV212 = SV220 )
= $true )
| ( ( ( SV212 = SV219 )
| ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(841,plain,
( ( sK6_SY56 = sK7_SY64 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[838]) ).
thf(842,plain,
( ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
| ~ ( rq @ sK5_X @ sK8_SY66 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(843,plain,
! [SV220: $i,SV217: $i,SV218: $i,SV219: $i,SV212: $i] :
( ( ( SV212 = SV219 )
= $true )
| ( ( ( SV212 = SV218 )
| ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(844,plain,
( ( ~ ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[842]) ).
thf(845,plain,
( ( ~ ( rq @ sK5_X @ sK8_SY66 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[842]) ).
thf(846,plain,
! [SV220: $i,SV219: $i,SV217: $i,SV218: $i,SV212: $i] :
( ( ( SV212 = SV218 )
= $true )
| ( ( ( SV212 = SV217 )
| ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(847,plain,
( ( ~ ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(848,plain,
( ( rq @ sK5_X @ sK8_SY66 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(849,plain,
! [SV220: $i,SV219: $i,SV218: $i,SV217: $i,SV212: $i] :
( ( ( SV212 = SV217 )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 )
| ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV218 )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(850,plain,
( ( ~ ( rq @ sK5_X @ sK6_SY56 )
| ~ ( rq @ sK5_X @ sK7_SY64 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(851,plain,
! [SV220: $i,SV219: $i,SV218: $i,SV217: $i,SV212: $i] :
( ( ( ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 )
| ~ ( rr @ sK5_X @ SV219 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV217 )
= $true )
| ( ( SV212 = SV218 )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(852,plain,
( ( ~ ( rq @ sK5_X @ sK6_SY56 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[850]) ).
thf(853,plain,
( ( ~ ( rq @ sK5_X @ sK7_SY64 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[850]) ).
thf(854,plain,
! [SV220: $i,SV219: $i,SV218: $i,SV217: $i,SV212: $i] :
( ( ( ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 )
| ~ ( rr @ sK5_X @ SV218 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV219 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV217 )
= $true )
| ( ( SV212 = SV218 )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(855,plain,
( ( rq @ sK5_X @ sK6_SY56 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[852]) ).
thf(856,plain,
( ( rq @ sK5_X @ sK7_SY64 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[853]) ).
thf(857,plain,
! [SV220: $i,SV219: $i,SV218: $i,SV217: $i,SV212: $i] :
( ( ( ~ ( rr @ sK5_X @ SV212 )
| ~ ( rr @ sK5_X @ SV217 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV218 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV219 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV217 )
= $true )
| ( ( SV212 = SV218 )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(858,plain,
! [SV220: $i,SV219: $i,SV218: $i,SV217: $i,SV212: $i] :
( ( ( ~ ( rr @ sK5_X @ SV212 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV217 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV218 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV219 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV217 )
= $true )
| ( ( SV212 = SV218 )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(859,plain,
! [SV220: $i,SV219: $i,SV218: $i,SV217: $i,SV212: $i] :
( ( ( rr @ sK5_X @ SV212 )
= $false )
| ( ( ~ ( rr @ sK5_X @ SV217 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV218 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV219 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV217 )
= $true )
| ( ( SV212 = SV218 )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(860,plain,
! [SV220: $i,SV219: $i,SV218: $i,SV212: $i,SV217: $i] :
( ( ( rr @ sK5_X @ SV217 )
= $false )
| ( ( rr @ sK5_X @ SV212 )
= $false )
| ( ( ~ ( rr @ sK5_X @ SV218 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV219 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV217 )
= $true )
| ( ( SV212 = SV218 )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(861,plain,
! [SV220: $i,SV219: $i,SV217: $i,SV212: $i,SV218: $i] :
( ( ( rr @ sK5_X @ SV218 )
= $false )
| ( ( rr @ sK5_X @ SV212 )
= $false )
| ( ( rr @ sK5_X @ SV217 )
= $false )
| ( ( ~ ( rr @ sK5_X @ SV219 ) )
= $true )
| ( ( ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV217 )
= $true )
| ( ( SV212 = SV218 )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(862,plain,
! [SV220: $i,SV218: $i,SV212: $i,SV217: $i,SV219: $i] :
( ( ( rr @ sK5_X @ SV219 )
= $false )
| ( ( rr @ sK5_X @ SV217 )
= $false )
| ( ( rr @ sK5_X @ SV212 )
= $false )
| ( ( rr @ sK5_X @ SV218 )
= $false )
| ( ( ~ ( rr @ sK5_X @ SV220 ) )
= $true )
| ( ( SV212 = SV217 )
= $true )
| ( ( SV212 = SV218 )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(863,plain,
! [SV219: $i,SV217: $i,SV212: $i,SV218: $i,SV220: $i] :
( ( ( rr @ sK5_X @ SV220 )
= $false )
| ( ( rr @ sK5_X @ SV218 )
= $false )
| ( ( rr @ sK5_X @ SV212 )
= $false )
| ( ( rr @ sK5_X @ SV217 )
= $false )
| ( ( rr @ sK5_X @ SV219 )
= $false )
| ( ( SV212 = SV217 )
= $true )
| ( ( SV212 = SV218 )
= $true )
| ( ( SV212 = SV219 )
= $true )
| ( ( SV212 = SV220 )
= $true )
| ( ( SV217 = SV218 )
= $true )
| ( ( SV217 = SV219 )
= $true )
| ( ( SV217 = SV220 )
= $true )
| ( ( SV218 = SV219 )
= $true )
| ( ( SV218 = SV220 )
= $true )
| ( ( SV219 = SV220 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(864,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[752,863,856,855,848,841,832,828,827,819,817,806,802,801,800,799,798,797,792,791,784,783,782,781,780,778,759,756,755,754,753]) ).
thf(865,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[864,216,356,502,650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KRS162+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 20:12:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 19
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.12/0.38 .
% 0.12/0.38 (rf:0,axioms:19,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:21,loop_count:0,foatp_calls:0,translation:fof_full)..........................
% 0.45/0.66
% 0.45/0.66 ********************************
% 0.45/0.66 * All subproblems solved! *
% 0.45/0.66 ********************************
% 0.45/0.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:19,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:864,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.64/0.83
% 0.64/0.83 %**** Beginning of derivation protocol ****
% 0.64/0.83 % SZS output start CNFRefutation
% See solution above
% 0.64/0.84
% 0.64/0.84 %**** End of derivation protocol ****
% 0.64/0.84 %**** no. of clauses in derivation: 865 ****
% 0.64/0.84 %**** clause counter: 864 ****
% 0.64/0.84
% 0.64/0.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:19,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:864,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------