%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:26:32 AM UTC 2026
% Result : Theorem 2.94s 0.72s
% Output : CNFRefutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 647 ( 386 unt; 0 typ; 0 def)
% Number of atoms : 3514 ( 939 equ; 0 cnn)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 4264 (1648 ~; 902 |; 48 &;1627 @)
% ( 33 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 143 ( 140 usr; 9 con; 0-2 aty)
% Number of variables : 552 ( 0 ^; 552 !; 0 ?; 552 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cC10,type,
cC10: $i > $o ).
thf(tp_cC100,type,
cC100: $i > $o ).
thf(tp_cC102,type,
cC102: $i > $o ).
thf(tp_cC102xcomp,type,
cC102xcomp: $i > $o ).
thf(tp_cC104,type,
cC104: $i > $o ).
thf(tp_cC106,type,
cC106: $i > $o ).
thf(tp_cC106xcomp,type,
cC106xcomp: $i > $o ).
thf(tp_cC108,type,
cC108: $i > $o ).
thf(tp_cC108xcomp,type,
cC108xcomp: $i > $o ).
thf(tp_cC10xcomp,type,
cC10xcomp: $i > $o ).
thf(tp_cC110,type,
cC110: $i > $o ).
thf(tp_cC110xcomp,type,
cC110xcomp: $i > $o ).
thf(tp_cC112,type,
cC112: $i > $o ).
thf(tp_cC112xcomp,type,
cC112xcomp: $i > $o ).
thf(tp_cC114,type,
cC114: $i > $o ).
thf(tp_cC114xcomp,type,
cC114xcomp: $i > $o ).
thf(tp_cC116,type,
cC116: $i > $o ).
thf(tp_cC118,type,
cC118: $i > $o ).
thf(tp_cC118xcomp,type,
cC118xcomp: $i > $o ).
thf(tp_cC12,type,
cC12: $i > $o ).
thf(tp_cC120,type,
cC120: $i > $o ).
thf(tp_cC122,type,
cC122: $i > $o ).
thf(tp_cC124,type,
cC124: $i > $o ).
thf(tp_cC126,type,
cC126: $i > $o ).
thf(tp_cC128,type,
cC128: $i > $o ).
thf(tp_cC128xcomp,type,
cC128xcomp: $i > $o ).
thf(tp_cC12xcomp,type,
cC12xcomp: $i > $o ).
thf(tp_cC130,type,
cC130: $i > $o ).
thf(tp_cC130xcomp,type,
cC130xcomp: $i > $o ).
thf(tp_cC132,type,
cC132: $i > $o ).
thf(tp_cC132xcomp,type,
cC132xcomp: $i > $o ).
thf(tp_cC134,type,
cC134: $i > $o ).
thf(tp_cC136,type,
cC136: $i > $o ).
thf(tp_cC138,type,
cC138: $i > $o ).
thf(tp_cC14,type,
cC14: $i > $o ).
thf(tp_cC140,type,
cC140: $i > $o ).
thf(tp_cC16,type,
cC16: $i > $o ).
thf(tp_cC18,type,
cC18: $i > $o ).
thf(tp_cC2,type,
cC2: $i > $o ).
thf(tp_cC20,type,
cC20: $i > $o ).
thf(tp_cC20xcomp,type,
cC20xcomp: $i > $o ).
thf(tp_cC22,type,
cC22: $i > $o ).
thf(tp_cC24,type,
cC24: $i > $o ).
thf(tp_cC24xcomp,type,
cC24xcomp: $i > $o ).
thf(tp_cC26,type,
cC26: $i > $o ).
thf(tp_cC26xcomp,type,
cC26xcomp: $i > $o ).
thf(tp_cC28,type,
cC28: $i > $o ).
thf(tp_cC28xcomp,type,
cC28xcomp: $i > $o ).
thf(tp_cC2xcomp,type,
cC2xcomp: $i > $o ).
thf(tp_cC30,type,
cC30: $i > $o ).
thf(tp_cC30xcomp,type,
cC30xcomp: $i > $o ).
thf(tp_cC32,type,
cC32: $i > $o ).
thf(tp_cC32xcomp,type,
cC32xcomp: $i > $o ).
thf(tp_cC34,type,
cC34: $i > $o ).
thf(tp_cC34xcomp,type,
cC34xcomp: $i > $o ).
thf(tp_cC36,type,
cC36: $i > $o ).
thf(tp_cC36xcomp,type,
cC36xcomp: $i > $o ).
thf(tp_cC38,type,
cC38: $i > $o ).
thf(tp_cC4,type,
cC4: $i > $o ).
thf(tp_cC40,type,
cC40: $i > $o ).
thf(tp_cC42,type,
cC42: $i > $o ).
thf(tp_cC44,type,
cC44: $i > $o ).
thf(tp_cC44xcomp,type,
cC44xcomp: $i > $o ).
thf(tp_cC46,type,
cC46: $i > $o ).
thf(tp_cC48,type,
cC48: $i > $o ).
thf(tp_cC50,type,
cC50: $i > $o ).
thf(tp_cC52,type,
cC52: $i > $o ).
thf(tp_cC54,type,
cC54: $i > $o ).
thf(tp_cC54xcomp,type,
cC54xcomp: $i > $o ).
thf(tp_cC56,type,
cC56: $i > $o ).
thf(tp_cC58,type,
cC58: $i > $o ).
thf(tp_cC58xcomp,type,
cC58xcomp: $i > $o ).
thf(tp_cC6,type,
cC6: $i > $o ).
thf(tp_cC60,type,
cC60: $i > $o ).
thf(tp_cC60xcomp,type,
cC60xcomp: $i > $o ).
thf(tp_cC62,type,
cC62: $i > $o ).
thf(tp_cC64,type,
cC64: $i > $o ).
thf(tp_cC66,type,
cC66: $i > $o ).
thf(tp_cC68,type,
cC68: $i > $o ).
thf(tp_cC70,type,
cC70: $i > $o ).
thf(tp_cC72,type,
cC72: $i > $o ).
thf(tp_cC74,type,
cC74: $i > $o ).
thf(tp_cC76,type,
cC76: $i > $o ).
thf(tp_cC78,type,
cC78: $i > $o ).
thf(tp_cC8,type,
cC8: $i > $o ).
thf(tp_cC80,type,
cC80: $i > $o ).
thf(tp_cC80xcomp,type,
cC80xcomp: $i > $o ).
thf(tp_cC82,type,
cC82: $i > $o ).
thf(tp_cC84,type,
cC84: $i > $o ).
thf(tp_cC86,type,
cC86: $i > $o ).
thf(tp_cC88,type,
cC88: $i > $o ).
thf(tp_cC8xcomp,type,
cC8xcomp: $i > $o ).
thf(tp_cC90,type,
cC90: $i > $o ).
thf(tp_cC92,type,
cC92: $i > $o ).
thf(tp_cC94,type,
cC94: $i > $o ).
thf(tp_cC96,type,
cC96: $i > $o ).
thf(tp_cC98,type,
cC98: $i > $o ).
thf(tp_cC98xcomp,type,
cC98xcomp: $i > $o ).
thf(tp_cTEST,type,
cTEST: $i > $o ).
thf(tp_cTOP,type,
cTOP: $i > $o ).
thf(tp_cowlNothing,type,
cowlNothing: $i > $o ).
thf(tp_cowlThing,type,
cowlThing: $i > $o ).
thf(tp_iV5475,type,
iV5475: $i ).
thf(tp_iV5476,type,
iV5476: $i ).
thf(tp_iV5478,type,
iV5478: $i ).
thf(tp_rR1,type,
rR1: $i > $i > $o ).
thf(tp_ra_Px1,type,
ra_Px1: $i > $i > $o ).
thf(tp_ra_Px10,type,
ra_Px10: $i > $i > $o ).
thf(tp_ra_Px11,type,
ra_Px11: $i > $i > $o ).
thf(tp_ra_Px15,type,
ra_Px15: $i > $i > $o ).
thf(tp_ra_Px18,type,
ra_Px18: $i > $i > $o ).
thf(tp_ra_Px19,type,
ra_Px19: $i > $i > $o ).
thf(tp_ra_Px2,type,
ra_Px2: $i > $i > $o ).
thf(tp_ra_Px20,type,
ra_Px20: $i > $i > $o ).
thf(tp_ra_Px24,type,
ra_Px24: $i > $i > $o ).
thf(tp_ra_Px29,type,
ra_Px29: $i > $i > $o ).
thf(tp_ra_Px30,type,
ra_Px30: $i > $i > $o ).
thf(tp_ra_Px31,type,
ra_Px31: $i > $i > $o ).
thf(tp_ra_Px32,type,
ra_Px32: $i > $i > $o ).
thf(tp_ra_Px33,type,
ra_Px33: $i > $i > $o ).
thf(tp_ra_Px34,type,
ra_Px34: $i > $i > $o ).
thf(tp_ra_Px36,type,
ra_Px36: $i > $i > $o ).
thf(tp_ra_Px40,type,
ra_Px40: $i > $i > $o ).
thf(tp_ra_Px41,type,
ra_Px41: $i > $i > $o ).
thf(tp_ra_Px43,type,
ra_Px43: $i > $i > $o ).
thf(tp_ra_Px44,type,
ra_Px44: $i > $i > $o ).
thf(tp_ra_Px45,type,
ra_Px45: $i > $i > $o ).
thf(tp_ra_Px46,type,
ra_Px46: $i > $i > $o ).
thf(tp_ra_Px47,type,
ra_Px47: $i > $i > $o ).
thf(tp_ra_Px49,type,
ra_Px49: $i > $i > $o ).
thf(tp_ra_Px5,type,
ra_Px5: $i > $i > $o ).
thf(tp_ra_Px50,type,
ra_Px50: $i > $i > $o ).
thf(tp_ra_Px6,type,
ra_Px6: $i > $i > $o ).
thf(tp_ra_Px9,type,
ra_Px9: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_X,type,
sK2_X: $i ).
thf(tp_sK3_SX0,type,
sK3_SX0: $i ).
thf(tp_sK4_SX0,type,
sK4_SX0: $i ).
thf(tp_xsd_integer,type,
xsd_integer: $i > $o ).
thf(tp_xsd_string,type,
xsd_string: $i > $o ).
thf(7,axiom,
cowlThing @ iV5478,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_138) ).
thf(11,axiom,
cowlThing @ iV5476,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_134) ).
thf(14,axiom,
cTEST @ iV5475,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_131) ).
thf(15,axiom,
cC114xcomp @ iV5475,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_130) ).
thf(16,axiom,
cowlThing @ iV5475,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_129) ).
thf(17,axiom,
cTOP @ iV5475,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_128) ).
thf(18,axiom,
! [X: $i] :
( ( cTEST @ X )
<=> ( ( cC140 @ X )
& ( cC116 @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
thf(96,axiom,
! [X: $i] :
( ( cC140 @ X )
<=> ( ( cTOP @ X )
& ( cC138 @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).
thf(144,axiom,
! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(145,axiom,
! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(146,conjecture,
( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ( cC116 @ iV5475 )
& ( cC140 @ iV5475 )
& ( cowlThing @ iV5475 )
& ( cC138 @ iV5475 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(147,negated_conjecture,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ( cC116 @ iV5475 )
& ( cC140 @ iV5475 )
& ( cowlThing @ iV5475 )
& ( cC138 @ iV5475 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[146]) ).
thf(148,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) )
& ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) )
& ( cC116 @ iV5475 )
& ( cC140 @ iV5475 )
& ( cowlThing @ iV5475 )
& ( cC138 @ iV5475 ) )
= $false ),
inference(unfold_def,[status(thm)],[147]) ).
thf(149,plain,
( ( cowlThing @ iV5478 )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(150,plain,
( ( cowlThing @ iV5476 )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(151,plain,
( ( cTEST @ iV5475 )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(152,plain,
( ( cC114xcomp @ iV5475 )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(153,plain,
( ( cowlThing @ iV5475 )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(154,plain,
( ( cTOP @ iV5475 )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(155,plain,
( ( ! [X: $i] :
( ( cTEST @ X )
<=> ( ( cC140 @ X )
& ( cC116 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(156,plain,
( ( ! [X: $i] :
( ( cC140 @ X )
<=> ( ( cTOP @ X )
& ( cC138 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(157,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(158,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(159,plain,
( ( ! [X: $i] : ( cowlThing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[148]) ).
thf(160,plain,
( ( ! [X: $i] :
~ ( cowlNothing @ X ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[148]) ).
thf(161,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[148]) ).
thf(162,plain,
( ( ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[148]) ).
thf(163,plain,
( ( cC116 @ iV5475 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[148]) ).
thf(164,plain,
( ( cC140 @ iV5475 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[148]) ).
thf(165,plain,
( ( cowlThing @ iV5475 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[148]) ).
thf(166,plain,
( ( cC138 @ iV5475 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[148]) ).
thf(167,plain,
( ( ~ ! [X: $i] : ( cowlThing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[159]) ).
thf(168,plain,
( ( ~ ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(polarity_switch,[status(thm)],[160]) ).
thf(169,plain,
( ( ~ ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[161]) ).
thf(170,plain,
( ( ~ ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[162]) ).
thf(171,plain,
( ( ~ ( cC116 @ iV5475 ) )
= $true ),
inference(polarity_switch,[status(thm)],[163]) ).
thf(172,plain,
( ( ~ ( cC140 @ iV5475 ) )
= $true ),
inference(polarity_switch,[status(thm)],[164]) ).
thf(173,plain,
( ( ~ ( cowlThing @ iV5475 ) )
= $true ),
inference(polarity_switch,[status(thm)],[165]) ).
thf(174,plain,
( ( ~ ( cC138 @ iV5475 ) )
= $true ),
inference(polarity_switch,[status(thm)],[166]) ).
thf(175,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(176,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(177,plain,
( ( ! [X: $i] :
( ( cC140 @ X )
<=> ( ( cTOP @ X )
& ( cC138 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(178,plain,
( ( ! [X: $i] :
( ( cTEST @ X )
<=> ( ( cC140 @ X )
& ( cC116 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(179,plain,
( ( cTOP @ iV5475 )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(180,plain,
( ( cowlThing @ iV5475 )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(181,plain,
( ( cC114xcomp @ iV5475 )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(182,plain,
( ( cTEST @ iV5475 )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(183,plain,
( ( cowlThing @ iV5476 )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(184,plain,
( ( cowlThing @ iV5478 )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(185,plain,
( ( ~ ! [X: $i] : ( cowlThing @ X ) )
= $true ),
inference(copy,[status(thm)],[167]) ).
thf(186,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cC140 @ SX0 )
| ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) )
| ( cC140 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(187,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cTEST @ SX0 )
| ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) )
| ( cTEST @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(188,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(189,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(190,plain,
( ( ! [X: $i] : ( cowlThing @ X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(191,plain,
! [SV1: $i] :
( ( ~ ( ~ ( ~ ( cC140 @ SV1 )
| ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) )
| ( cC140 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(192,plain,
! [SV2: $i] :
( ( ~ ( ~ ( ~ ( cTEST @ SV2 )
| ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) )
| ( cTEST @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(193,plain,
! [SV3: $i] :
( ( ~ ( ~ ( cowlThing @ SV3 )
| ~ ~ ( cowlNothing @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(194,plain,
! [SV4: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV4 )
| ~ ( xsd_integer @ SV4 ) )
| ~ ( ~ ~ ( xsd_integer @ SV4 )
| ( xsd_string @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(195,plain,
( ( cowlThing @ sK1_X )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[190]) ).
thf(196,plain,
! [SV1: $i] :
( ( ~ ( ~ ( cC140 @ SV1 )
| ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) )
| ( cC140 @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(197,plain,
! [SV2: $i] :
( ( ~ ( ~ ( cTEST @ SV2 )
| ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) )
| ( cTEST @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(198,plain,
! [SV3: $i] :
( ( ~ ( cowlThing @ SV3 )
| ~ ~ ( cowlNothing @ SV3 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(199,plain,
! [SV4: $i] :
( ( ~ ( ~ ( xsd_string @ SV4 )
| ~ ( xsd_integer @ SV4 ) )
| ~ ( ~ ~ ( xsd_integer @ SV4 )
| ( xsd_string @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(200,plain,
! [SV1: $i] :
( ( ~ ( ~ ( cC140 @ SV1 )
| ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(201,plain,
! [SV1: $i] :
( ( ~ ( ~ ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) )
| ( cC140 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[196]) ).
thf(202,plain,
! [SV2: $i] :
( ( ~ ( ~ ( cTEST @ SV2 )
| ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(203,plain,
! [SV2: $i] :
( ( ~ ( ~ ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) )
| ( cTEST @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(204,plain,
! [SV3: $i] :
( ( ~ ( cowlThing @ SV3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(205,plain,
! [SV3: $i] :
( ( ~ ~ ( cowlNothing @ SV3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[198]) ).
thf(206,plain,
! [SV4: $i] :
( ( ~ ( ~ ( xsd_string @ SV4 )
| ~ ( xsd_integer @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(207,plain,
! [SV4: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV4 )
| ( xsd_string @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[199]) ).
thf(208,plain,
! [SV1: $i] :
( ( ~ ( cC140 @ SV1 )
| ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(209,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) )
| ( cC140 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(210,plain,
! [SV2: $i] :
( ( ~ ( cTEST @ SV2 )
| ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(211,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) )
| ( cTEST @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(212,plain,
! [SV3: $i] :
( ( cowlThing @ SV3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(213,plain,
! [SV3: $i] :
( ( ~ ( cowlNothing @ SV3 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(214,plain,
! [SV4: $i] :
( ( ~ ( xsd_string @ SV4 )
| ~ ( xsd_integer @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(215,plain,
! [SV4: $i] :
( ( ~ ~ ( xsd_integer @ SV4 )
| ( xsd_string @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[207]) ).
thf(216,plain,
! [SV1: $i] :
( ( ( ~ ( cC140 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(217,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) ) )
= $true )
| ( ( cC140 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(218,plain,
! [SV2: $i] :
( ( ( ~ ( cTEST @ SV2 ) )
= $true )
| ( ( ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(219,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) ) )
= $true )
| ( ( cTEST @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(220,plain,
! [SV3: $i] :
( ( cowlNothing @ SV3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(221,plain,
! [SV4: $i] :
( ( ( ~ ( xsd_string @ SV4 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(222,plain,
! [SV4: $i] :
( ( ( ~ ~ ( xsd_integer @ SV4 ) )
= $true )
| ( ( xsd_string @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(223,plain,
! [SV1: $i] :
( ( ( cC140 @ SV1 )
= $false )
| ( ( ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(224,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) ) )
= $false )
| ( ( cC140 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(225,plain,
! [SV2: $i] :
( ( ( cTEST @ SV2 )
= $false )
| ( ( ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(226,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) ) )
= $false )
| ( ( cTEST @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(227,plain,
! [SV4: $i] :
( ( ( xsd_string @ SV4 )
= $false )
| ( ( ~ ( xsd_integer @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(228,plain,
! [SV4: $i] :
( ( ( ~ ( xsd_integer @ SV4 ) )
= $false )
| ( ( xsd_string @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(229,plain,
! [SV1: $i] :
( ( ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) )
= $false )
| ( ( cC140 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(230,plain,
! [SV1: $i] :
( ( ( ~ ( cTOP @ SV1 )
| ~ ( cC138 @ SV1 ) )
= $true )
| ( ( cC140 @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[224]) ).
thf(231,plain,
! [SV2: $i] :
( ( ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) )
= $false )
| ( ( cTEST @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(232,plain,
! [SV2: $i] :
( ( ( ~ ( cC140 @ SV2 )
| ~ ( cC116 @ SV2 ) )
= $true )
| ( ( cTEST @ SV2 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[226]) ).
thf(233,plain,
! [SV4: $i] :
( ( ( xsd_integer @ SV4 )
= $false )
| ( ( xsd_string @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(234,plain,
! [SV4: $i] :
( ( ( xsd_integer @ SV4 )
= $true )
| ( ( xsd_string @ SV4 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(235,plain,
! [SV1: $i] :
( ( ( ~ ( cTOP @ SV1 ) )
= $false )
| ( ( cC140 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(236,plain,
! [SV1: $i] :
( ( ( ~ ( cC138 @ SV1 ) )
= $false )
| ( ( cC140 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(237,plain,
! [SV1: $i] :
( ( ( ~ ( cTOP @ SV1 ) )
= $true )
| ( ( ~ ( cC138 @ SV1 ) )
= $true )
| ( ( cC140 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(238,plain,
! [SV2: $i] :
( ( ( ~ ( cC140 @ SV2 ) )
= $false )
| ( ( cTEST @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(239,plain,
! [SV2: $i] :
( ( ( ~ ( cC116 @ SV2 ) )
= $false )
| ( ( cTEST @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(240,plain,
! [SV2: $i] :
( ( ( ~ ( cC140 @ SV2 ) )
= $true )
| ( ( ~ ( cC116 @ SV2 ) )
= $true )
| ( ( cTEST @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(241,plain,
! [SV1: $i] :
( ( ( cTOP @ SV1 )
= $true )
| ( ( cC140 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(242,plain,
! [SV1: $i] :
( ( ( cC138 @ SV1 )
= $true )
| ( ( cC140 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(243,plain,
! [SV1: $i] :
( ( ( cTOP @ SV1 )
= $false )
| ( ( ~ ( cC138 @ SV1 ) )
= $true )
| ( ( cC140 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(244,plain,
! [SV2: $i] :
( ( ( cC140 @ SV2 )
= $true )
| ( ( cTEST @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(245,plain,
! [SV2: $i] :
( ( ( cC116 @ SV2 )
= $true )
| ( ( cTEST @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(246,plain,
! [SV2: $i] :
( ( ( cC140 @ SV2 )
= $false )
| ( ( ~ ( cC116 @ SV2 ) )
= $true )
| ( ( cTEST @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(247,plain,
! [SV1: $i] :
( ( ( cC138 @ SV1 )
= $false )
| ( ( cTOP @ SV1 )
= $false )
| ( ( cC140 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(248,plain,
! [SV2: $i] :
( ( ( cC116 @ SV2 )
= $false )
| ( ( cC140 @ SV2 )
= $false )
| ( ( cTEST @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(249,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[179,248,247,245,244,242,241,234,233,220,212,195,184,183,182,181,180]) ).
thf(250,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(251,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(252,plain,
( ( ! [X: $i] :
( ( cC140 @ X )
<=> ( ( cTOP @ X )
& ( cC138 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(253,plain,
( ( ! [X: $i] :
( ( cTEST @ X )
<=> ( ( cC140 @ X )
& ( cC116 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(254,plain,
( ( cTOP @ iV5475 )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(255,plain,
( ( cowlThing @ iV5475 )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(256,plain,
( ( cC114xcomp @ iV5475 )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(257,plain,
( ( cTEST @ iV5475 )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(258,plain,
( ( cowlThing @ iV5476 )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(259,plain,
( ( cowlThing @ iV5478 )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(260,plain,
( ( ~ ! [X: $i] :
~ ( cowlNothing @ X ) )
= $true ),
inference(copy,[status(thm)],[168]) ).
thf(261,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cTEST @ SX0 )
| ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) )
| ( cTEST @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(262,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cC140 @ SX0 )
| ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) )
| ( cC140 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(263,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(264,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(265,plain,
( ( ! [X: $i] :
~ ( cowlNothing @ X ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(266,plain,
! [SV5: $i] :
( ( ~ ( ~ ( ~ ( cTEST @ SV5 )
| ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) )
| ( cTEST @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(267,plain,
! [SV6: $i] :
( ( ~ ( ~ ( ~ ( cC140 @ SV6 )
| ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) )
| ( cC140 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(268,plain,
! [SV7: $i] :
( ( ~ ( ~ ( cowlThing @ SV7 )
| ~ ~ ( cowlNothing @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(269,plain,
! [SV8: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV8 )
| ~ ( xsd_integer @ SV8 ) )
| ~ ( ~ ~ ( xsd_integer @ SV8 )
| ( xsd_string @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(270,plain,
( ( ~ ( cowlNothing @ sK2_X ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[265]) ).
thf(271,plain,
! [SV5: $i] :
( ( ~ ( ~ ( cTEST @ SV5 )
| ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) )
| ( cTEST @ SV5 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(272,plain,
! [SV6: $i] :
( ( ~ ( ~ ( cC140 @ SV6 )
| ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) )
| ( cC140 @ SV6 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(273,plain,
! [SV7: $i] :
( ( ~ ( cowlThing @ SV7 )
| ~ ~ ( cowlNothing @ SV7 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(274,plain,
! [SV8: $i] :
( ( ~ ( ~ ( xsd_string @ SV8 )
| ~ ( xsd_integer @ SV8 ) )
| ~ ( ~ ~ ( xsd_integer @ SV8 )
| ( xsd_string @ SV8 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(275,plain,
( ( cowlNothing @ sK2_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(276,plain,
! [SV5: $i] :
( ( ~ ( ~ ( cTEST @ SV5 )
| ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(277,plain,
! [SV5: $i] :
( ( ~ ( ~ ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) )
| ( cTEST @ SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(278,plain,
! [SV6: $i] :
( ( ~ ( ~ ( cC140 @ SV6 )
| ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(279,plain,
! [SV6: $i] :
( ( ~ ( ~ ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) )
| ( cC140 @ SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(280,plain,
! [SV7: $i] :
( ( ~ ( cowlThing @ SV7 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(281,plain,
! [SV7: $i] :
( ( ~ ~ ( cowlNothing @ SV7 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(282,plain,
! [SV8: $i] :
( ( ~ ( ~ ( xsd_string @ SV8 )
| ~ ( xsd_integer @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(283,plain,
! [SV8: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV8 )
| ( xsd_string @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(284,plain,
! [SV5: $i] :
( ( ~ ( cTEST @ SV5 )
| ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[276]) ).
thf(285,plain,
! [SV5: $i] :
( ( ~ ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) )
| ( cTEST @ SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(286,plain,
! [SV6: $i] :
( ( ~ ( cC140 @ SV6 )
| ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(287,plain,
! [SV6: $i] :
( ( ~ ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) )
| ( cC140 @ SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[279]) ).
thf(288,plain,
! [SV7: $i] :
( ( cowlThing @ SV7 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(289,plain,
! [SV7: $i] :
( ( ~ ( cowlNothing @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(290,plain,
! [SV8: $i] :
( ( ~ ( xsd_string @ SV8 )
| ~ ( xsd_integer @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(291,plain,
! [SV8: $i] :
( ( ~ ~ ( xsd_integer @ SV8 )
| ( xsd_string @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(292,plain,
! [SV5: $i] :
( ( ( ~ ( cTEST @ SV5 ) )
= $true )
| ( ( ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(293,plain,
! [SV5: $i] :
( ( ( ~ ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) ) )
= $true )
| ( ( cTEST @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(294,plain,
! [SV6: $i] :
( ( ( ~ ( cC140 @ SV6 ) )
= $true )
| ( ( ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(295,plain,
! [SV6: $i] :
( ( ( ~ ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) ) )
= $true )
| ( ( cC140 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(296,plain,
! [SV7: $i] :
( ( cowlNothing @ SV7 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(297,plain,
! [SV8: $i] :
( ( ( ~ ( xsd_string @ SV8 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(298,plain,
! [SV8: $i] :
( ( ( ~ ~ ( xsd_integer @ SV8 ) )
= $true )
| ( ( xsd_string @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(299,plain,
! [SV5: $i] :
( ( ( cTEST @ SV5 )
= $false )
| ( ( ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(300,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) ) )
= $false )
| ( ( cTEST @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(301,plain,
! [SV6: $i] :
( ( ( cC140 @ SV6 )
= $false )
| ( ( ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(302,plain,
! [SV6: $i] :
( ( ( ~ ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) ) )
= $false )
| ( ( cC140 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(303,plain,
! [SV8: $i] :
( ( ( xsd_string @ SV8 )
= $false )
| ( ( ~ ( xsd_integer @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(304,plain,
! [SV8: $i] :
( ( ( ~ ( xsd_integer @ SV8 ) )
= $false )
| ( ( xsd_string @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(305,plain,
! [SV5: $i] :
( ( ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) )
= $false )
| ( ( cTEST @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(306,plain,
! [SV5: $i] :
( ( ( ~ ( cC140 @ SV5 )
| ~ ( cC116 @ SV5 ) )
= $true )
| ( ( cTEST @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(307,plain,
! [SV6: $i] :
( ( ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) )
= $false )
| ( ( cC140 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(308,plain,
! [SV6: $i] :
( ( ( ~ ( cTOP @ SV6 )
| ~ ( cC138 @ SV6 ) )
= $true )
| ( ( cC140 @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(309,plain,
! [SV8: $i] :
( ( ( xsd_integer @ SV8 )
= $false )
| ( ( xsd_string @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(310,plain,
! [SV8: $i] :
( ( ( xsd_integer @ SV8 )
= $true )
| ( ( xsd_string @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(311,plain,
! [SV5: $i] :
( ( ( ~ ( cC140 @ SV5 ) )
= $false )
| ( ( cTEST @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(312,plain,
! [SV5: $i] :
( ( ( ~ ( cC116 @ SV5 ) )
= $false )
| ( ( cTEST @ SV5 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(313,plain,
! [SV5: $i] :
( ( ( ~ ( cC140 @ SV5 ) )
= $true )
| ( ( ~ ( cC116 @ SV5 ) )
= $true )
| ( ( cTEST @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(314,plain,
! [SV6: $i] :
( ( ( ~ ( cTOP @ SV6 ) )
= $false )
| ( ( cC140 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(315,plain,
! [SV6: $i] :
( ( ( ~ ( cC138 @ SV6 ) )
= $false )
| ( ( cC140 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[307]) ).
thf(316,plain,
! [SV6: $i] :
( ( ( ~ ( cTOP @ SV6 ) )
= $true )
| ( ( ~ ( cC138 @ SV6 ) )
= $true )
| ( ( cC140 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(317,plain,
! [SV5: $i] :
( ( ( cC140 @ SV5 )
= $true )
| ( ( cTEST @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(318,plain,
! [SV5: $i] :
( ( ( cC116 @ SV5 )
= $true )
| ( ( cTEST @ SV5 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(319,plain,
! [SV5: $i] :
( ( ( cC140 @ SV5 )
= $false )
| ( ( ~ ( cC116 @ SV5 ) )
= $true )
| ( ( cTEST @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(320,plain,
! [SV6: $i] :
( ( ( cTOP @ SV6 )
= $true )
| ( ( cC140 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(321,plain,
! [SV6: $i] :
( ( ( cC138 @ SV6 )
= $true )
| ( ( cC140 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(322,plain,
! [SV6: $i] :
( ( ( cTOP @ SV6 )
= $false )
| ( ( ~ ( cC138 @ SV6 ) )
= $true )
| ( ( cC140 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(323,plain,
! [SV5: $i] :
( ( ( cC116 @ SV5 )
= $false )
| ( ( cC140 @ SV5 )
= $false )
| ( ( cTEST @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(324,plain,
! [SV6: $i] :
( ( ( cC138 @ SV6 )
= $false )
| ( ( cTOP @ SV6 )
= $false )
| ( ( cC140 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(325,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[254,324,323,321,320,318,317,310,309,296,288,275,259,258,257,256,255]) ).
thf(326,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(327,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(328,plain,
( ( ! [X: $i] :
( ( cC140 @ X )
<=> ( ( cTOP @ X )
& ( cC138 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(329,plain,
( ( ! [X: $i] :
( ( cTEST @ X )
<=> ( ( cC140 @ X )
& ( cC116 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(330,plain,
( ( cTOP @ iV5475 )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(331,plain,
( ( cowlThing @ iV5475 )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(332,plain,
( ( cC114xcomp @ iV5475 )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(333,plain,
( ( cTEST @ iV5475 )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(334,plain,
( ( cowlThing @ iV5476 )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(335,plain,
( ( cowlThing @ iV5478 )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(336,plain,
( ( ~ ! [X: $i] :
( ( xsd_string @ X )
=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[169]) ).
thf(337,plain,
( ( ~ ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(338,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(339,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cTEST @ SX0 )
| ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) )
| ( cTEST @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(340,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cC140 @ SX0 )
| ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) )
| ( cC140 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(341,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(342,plain,
( ( ! [SX0: $i] :
( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(343,plain,
! [SV9: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV9 )
| ~ ( xsd_integer @ SV9 ) )
| ~ ( ~ ~ ( xsd_integer @ SV9 )
| ( xsd_string @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(344,plain,
! [SV10: $i] :
( ( ~ ( ~ ( ~ ( cTEST @ SV10 )
| ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) )
| ( cTEST @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(345,plain,
! [SV11: $i] :
( ( ~ ( ~ ( ~ ( cC140 @ SV11 )
| ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) )
| ( cC140 @ SV11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(346,plain,
! [SV12: $i] :
( ( ~ ( ~ ( cowlThing @ SV12 )
| ~ ~ ( cowlNothing @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(347,plain,
( ( ~ ( xsd_string @ sK3_SX0 )
| ~ ( xsd_integer @ sK3_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[342]) ).
thf(348,plain,
! [SV9: $i] :
( ( ~ ( ~ ( xsd_string @ SV9 )
| ~ ( xsd_integer @ SV9 ) )
| ~ ( ~ ~ ( xsd_integer @ SV9 )
| ( xsd_string @ SV9 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(349,plain,
! [SV10: $i] :
( ( ~ ( ~ ( cTEST @ SV10 )
| ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) )
| ( cTEST @ SV10 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(350,plain,
! [SV11: $i] :
( ( ~ ( ~ ( cC140 @ SV11 )
| ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) )
| ( cC140 @ SV11 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(351,plain,
! [SV12: $i] :
( ( ~ ( cowlThing @ SV12 )
| ~ ~ ( cowlNothing @ SV12 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(352,plain,
( ( ~ ( xsd_string @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(353,plain,
( ( ~ ( xsd_integer @ sK3_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[347]) ).
thf(354,plain,
! [SV9: $i] :
( ( ~ ( ~ ( xsd_string @ SV9 )
| ~ ( xsd_integer @ SV9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(355,plain,
! [SV9: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV9 )
| ( xsd_string @ SV9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(356,plain,
! [SV10: $i] :
( ( ~ ( ~ ( cTEST @ SV10 )
| ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(357,plain,
! [SV10: $i] :
( ( ~ ( ~ ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) )
| ( cTEST @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(358,plain,
! [SV11: $i] :
( ( ~ ( ~ ( cC140 @ SV11 )
| ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(359,plain,
! [SV11: $i] :
( ( ~ ( ~ ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) )
| ( cC140 @ SV11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(360,plain,
! [SV12: $i] :
( ( ~ ( cowlThing @ SV12 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(361,plain,
! [SV12: $i] :
( ( ~ ~ ( cowlNothing @ SV12 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(362,plain,
( ( xsd_string @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(363,plain,
( ( xsd_integer @ sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(364,plain,
! [SV9: $i] :
( ( ~ ( xsd_string @ SV9 )
| ~ ( xsd_integer @ SV9 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(365,plain,
! [SV9: $i] :
( ( ~ ~ ( xsd_integer @ SV9 )
| ( xsd_string @ SV9 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(366,plain,
! [SV10: $i] :
( ( ~ ( cTEST @ SV10 )
| ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(367,plain,
! [SV10: $i] :
( ( ~ ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) )
| ( cTEST @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(368,plain,
! [SV11: $i] :
( ( ~ ( cC140 @ SV11 )
| ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(369,plain,
! [SV11: $i] :
( ( ~ ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) )
| ( cC140 @ SV11 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(370,plain,
! [SV12: $i] :
( ( cowlThing @ SV12 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(371,plain,
! [SV12: $i] :
( ( ~ ( cowlNothing @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(372,plain,
! [SV9: $i] :
( ( ( ~ ( xsd_string @ SV9 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(373,plain,
! [SV9: $i] :
( ( ( ~ ~ ( xsd_integer @ SV9 ) )
= $true )
| ( ( xsd_string @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(374,plain,
! [SV10: $i] :
( ( ( ~ ( cTEST @ SV10 ) )
= $true )
| ( ( ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(375,plain,
! [SV10: $i] :
( ( ( ~ ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) ) )
= $true )
| ( ( cTEST @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(376,plain,
! [SV11: $i] :
( ( ( ~ ( cC140 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(377,plain,
! [SV11: $i] :
( ( ( ~ ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) ) )
= $true )
| ( ( cC140 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(378,plain,
! [SV12: $i] :
( ( cowlNothing @ SV12 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(379,plain,
! [SV9: $i] :
( ( ( xsd_string @ SV9 )
= $false )
| ( ( ~ ( xsd_integer @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(380,plain,
! [SV9: $i] :
( ( ( ~ ( xsd_integer @ SV9 ) )
= $false )
| ( ( xsd_string @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(381,plain,
! [SV10: $i] :
( ( ( cTEST @ SV10 )
= $false )
| ( ( ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(382,plain,
! [SV10: $i] :
( ( ( ~ ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) ) )
= $false )
| ( ( cTEST @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(383,plain,
! [SV11: $i] :
( ( ( cC140 @ SV11 )
= $false )
| ( ( ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(384,plain,
! [SV11: $i] :
( ( ( ~ ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) ) )
= $false )
| ( ( cC140 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(385,plain,
! [SV9: $i] :
( ( ( xsd_integer @ SV9 )
= $false )
| ( ( xsd_string @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(386,plain,
! [SV9: $i] :
( ( ( xsd_integer @ SV9 )
= $true )
| ( ( xsd_string @ SV9 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(387,plain,
! [SV10: $i] :
( ( ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) )
= $false )
| ( ( cTEST @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(388,plain,
! [SV10: $i] :
( ( ( ~ ( cC140 @ SV10 )
| ~ ( cC116 @ SV10 ) )
= $true )
| ( ( cTEST @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(389,plain,
! [SV11: $i] :
( ( ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) )
= $false )
| ( ( cC140 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(390,plain,
! [SV11: $i] :
( ( ( ~ ( cTOP @ SV11 )
| ~ ( cC138 @ SV11 ) )
= $true )
| ( ( cC140 @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[384]) ).
thf(391,plain,
! [SV10: $i] :
( ( ( ~ ( cC140 @ SV10 ) )
= $false )
| ( ( cTEST @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(392,plain,
! [SV10: $i] :
( ( ( ~ ( cC116 @ SV10 ) )
= $false )
| ( ( cTEST @ SV10 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[387]) ).
thf(393,plain,
! [SV10: $i] :
( ( ( ~ ( cC140 @ SV10 ) )
= $true )
| ( ( ~ ( cC116 @ SV10 ) )
= $true )
| ( ( cTEST @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(394,plain,
! [SV11: $i] :
( ( ( ~ ( cTOP @ SV11 ) )
= $false )
| ( ( cC140 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(395,plain,
! [SV11: $i] :
( ( ( ~ ( cC138 @ SV11 ) )
= $false )
| ( ( cC140 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(396,plain,
! [SV11: $i] :
( ( ( ~ ( cTOP @ SV11 ) )
= $true )
| ( ( ~ ( cC138 @ SV11 ) )
= $true )
| ( ( cC140 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(397,plain,
! [SV10: $i] :
( ( ( cC140 @ SV10 )
= $true )
| ( ( cTEST @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(398,plain,
! [SV10: $i] :
( ( ( cC116 @ SV10 )
= $true )
| ( ( cTEST @ SV10 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(399,plain,
! [SV10: $i] :
( ( ( cC140 @ SV10 )
= $false )
| ( ( ~ ( cC116 @ SV10 ) )
= $true )
| ( ( cTEST @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(400,plain,
! [SV11: $i] :
( ( ( cTOP @ SV11 )
= $true )
| ( ( cC140 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(401,plain,
! [SV11: $i] :
( ( ( cC138 @ SV11 )
= $true )
| ( ( cC140 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[395]) ).
thf(402,plain,
! [SV11: $i] :
( ( ( cTOP @ SV11 )
= $false )
| ( ( ~ ( cC138 @ SV11 ) )
= $true )
| ( ( cC140 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(403,plain,
! [SV10: $i] :
( ( ( cC116 @ SV10 )
= $false )
| ( ( cC140 @ SV10 )
= $false )
| ( ( cTEST @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(404,plain,
! [SV11: $i] :
( ( ( cC138 @ SV11 )
= $false )
| ( ( cTOP @ SV11 )
= $false )
| ( ( cC140 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(405,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[330,404,403,401,400,398,397,386,385,378,370,363,362,335,334,333,332,331]) ).
thf(406,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(407,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(408,plain,
( ( ! [X: $i] :
( ( cC140 @ X )
<=> ( ( cTOP @ X )
& ( cC138 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(409,plain,
( ( ! [X: $i] :
( ( cTEST @ X )
<=> ( ( cC140 @ X )
& ( cC116 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(410,plain,
( ( cTOP @ iV5475 )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(411,plain,
( ( cowlThing @ iV5475 )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(412,plain,
( ( cC114xcomp @ iV5475 )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(413,plain,
( ( cTEST @ iV5475 )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(414,plain,
( ( cowlThing @ iV5476 )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(415,plain,
( ( cowlThing @ iV5478 )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(416,plain,
( ( ~ ! [X: $i] :
( ~ ( xsd_integer @ X )
=> ( xsd_string @ X ) ) )
= $true ),
inference(copy,[status(thm)],[170]) ).
thf(417,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cC140 @ SX0 )
| ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) )
| ( cC140 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[408]) ).
thf(418,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(419,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cTEST @ SX0 )
| ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) )
| ( cTEST @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[409]) ).
thf(420,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[407]) ).
thf(421,plain,
( ( ~ ! [SX0: $i] :
( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(422,plain,
! [SV13: $i] :
( ( ~ ( ~ ( ~ ( cC140 @ SV13 )
| ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) )
| ( cC140 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(423,plain,
! [SV14: $i] :
( ( ~ ( ~ ( cowlThing @ SV14 )
| ~ ~ ( cowlNothing @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(424,plain,
! [SV15: $i] :
( ( ~ ( ~ ( ~ ( cTEST @ SV15 )
| ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) )
| ( cTEST @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(425,plain,
! [SV16: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV16 )
| ~ ( xsd_integer @ SV16 ) )
| ~ ( ~ ~ ( xsd_integer @ SV16 )
| ( xsd_string @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(426,plain,
( ( ! [SX0: $i] :
( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(427,plain,
! [SV13: $i] :
( ( ~ ( ~ ( cC140 @ SV13 )
| ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) )
| ( cC140 @ SV13 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(428,plain,
! [SV14: $i] :
( ( ~ ( cowlThing @ SV14 )
| ~ ~ ( cowlNothing @ SV14 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(429,plain,
! [SV15: $i] :
( ( ~ ( ~ ( cTEST @ SV15 )
| ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) )
| ( cTEST @ SV15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(430,plain,
! [SV16: $i] :
( ( ~ ( ~ ( xsd_string @ SV16 )
| ~ ( xsd_integer @ SV16 ) )
| ~ ( ~ ~ ( xsd_integer @ SV16 )
| ( xsd_string @ SV16 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(431,plain,
( ( ~ ~ ( xsd_integer @ sK4_SX0 )
| ( xsd_string @ sK4_SX0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[426]) ).
thf(432,plain,
! [SV13: $i] :
( ( ~ ( ~ ( cC140 @ SV13 )
| ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(433,plain,
! [SV13: $i] :
( ( ~ ( ~ ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) )
| ( cC140 @ SV13 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[427]) ).
thf(434,plain,
! [SV14: $i] :
( ( ~ ( cowlThing @ SV14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(435,plain,
! [SV14: $i] :
( ( ~ ~ ( cowlNothing @ SV14 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(436,plain,
! [SV15: $i] :
( ( ~ ( ~ ( cTEST @ SV15 )
| ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(437,plain,
! [SV15: $i] :
( ( ~ ( ~ ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) )
| ( cTEST @ SV15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(438,plain,
! [SV16: $i] :
( ( ~ ( ~ ( xsd_string @ SV16 )
| ~ ( xsd_integer @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(439,plain,
! [SV16: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV16 )
| ( xsd_string @ SV16 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(440,plain,
( ( ~ ~ ( xsd_integer @ sK4_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(441,plain,
( ( xsd_string @ sK4_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(442,plain,
! [SV13: $i] :
( ( ~ ( cC140 @ SV13 )
| ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(443,plain,
! [SV13: $i] :
( ( ~ ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) )
| ( cC140 @ SV13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(444,plain,
! [SV14: $i] :
( ( cowlThing @ SV14 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(445,plain,
! [SV14: $i] :
( ( ~ ( cowlNothing @ SV14 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(446,plain,
! [SV15: $i] :
( ( ~ ( cTEST @ SV15 )
| ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(447,plain,
! [SV15: $i] :
( ( ~ ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) )
| ( cTEST @ SV15 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(448,plain,
! [SV16: $i] :
( ( ~ ( xsd_string @ SV16 )
| ~ ( xsd_integer @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(449,plain,
! [SV16: $i] :
( ( ~ ~ ( xsd_integer @ SV16 )
| ( xsd_string @ SV16 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[439]) ).
thf(450,plain,
( ( ~ ( xsd_integer @ sK4_SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(451,plain,
! [SV13: $i] :
( ( ( ~ ( cC140 @ SV13 ) )
= $true )
| ( ( ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(452,plain,
! [SV13: $i] :
( ( ( ~ ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) ) )
= $true )
| ( ( cC140 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(453,plain,
! [SV14: $i] :
( ( cowlNothing @ SV14 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(454,plain,
! [SV15: $i] :
( ( ( ~ ( cTEST @ SV15 ) )
= $true )
| ( ( ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(455,plain,
! [SV15: $i] :
( ( ( ~ ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) ) )
= $true )
| ( ( cTEST @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(456,plain,
! [SV16: $i] :
( ( ( ~ ( xsd_string @ SV16 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(457,plain,
! [SV16: $i] :
( ( ( ~ ~ ( xsd_integer @ SV16 ) )
= $true )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(458,plain,
( ( xsd_integer @ sK4_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(459,plain,
! [SV13: $i] :
( ( ( cC140 @ SV13 )
= $false )
| ( ( ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(460,plain,
! [SV13: $i] :
( ( ( ~ ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) ) )
= $false )
| ( ( cC140 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(461,plain,
! [SV15: $i] :
( ( ( cTEST @ SV15 )
= $false )
| ( ( ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(462,plain,
! [SV15: $i] :
( ( ( ~ ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) ) )
= $false )
| ( ( cTEST @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(463,plain,
! [SV16: $i] :
( ( ( xsd_string @ SV16 )
= $false )
| ( ( ~ ( xsd_integer @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(464,plain,
! [SV16: $i] :
( ( ( ~ ( xsd_integer @ SV16 ) )
= $false )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(465,plain,
! [SV13: $i] :
( ( ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) )
= $false )
| ( ( cC140 @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(466,plain,
! [SV13: $i] :
( ( ( ~ ( cTOP @ SV13 )
| ~ ( cC138 @ SV13 ) )
= $true )
| ( ( cC140 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(467,plain,
! [SV15: $i] :
( ( ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) )
= $false )
| ( ( cTEST @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(468,plain,
! [SV15: $i] :
( ( ( ~ ( cC140 @ SV15 )
| ~ ( cC116 @ SV15 ) )
= $true )
| ( ( cTEST @ SV15 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(469,plain,
! [SV16: $i] :
( ( ( xsd_integer @ SV16 )
= $false )
| ( ( xsd_string @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(470,plain,
! [SV16: $i] :
( ( ( xsd_integer @ SV16 )
= $true )
| ( ( xsd_string @ SV16 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(471,plain,
! [SV13: $i] :
( ( ( ~ ( cTOP @ SV13 ) )
= $false )
| ( ( cC140 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(472,plain,
! [SV13: $i] :
( ( ( ~ ( cC138 @ SV13 ) )
= $false )
| ( ( cC140 @ SV13 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(473,plain,
! [SV13: $i] :
( ( ( ~ ( cTOP @ SV13 ) )
= $true )
| ( ( ~ ( cC138 @ SV13 ) )
= $true )
| ( ( cC140 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(474,plain,
! [SV15: $i] :
( ( ( ~ ( cC140 @ SV15 ) )
= $false )
| ( ( cTEST @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(475,plain,
! [SV15: $i] :
( ( ( ~ ( cC116 @ SV15 ) )
= $false )
| ( ( cTEST @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(476,plain,
! [SV15: $i] :
( ( ( ~ ( cC140 @ SV15 ) )
= $true )
| ( ( ~ ( cC116 @ SV15 ) )
= $true )
| ( ( cTEST @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(477,plain,
! [SV13: $i] :
( ( ( cTOP @ SV13 )
= $true )
| ( ( cC140 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[471]) ).
thf(478,plain,
! [SV13: $i] :
( ( ( cC138 @ SV13 )
= $true )
| ( ( cC140 @ SV13 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(479,plain,
! [SV13: $i] :
( ( ( cTOP @ SV13 )
= $false )
| ( ( ~ ( cC138 @ SV13 ) )
= $true )
| ( ( cC140 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(480,plain,
! [SV15: $i] :
( ( ( cC140 @ SV15 )
= $true )
| ( ( cTEST @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(481,plain,
! [SV15: $i] :
( ( ( cC116 @ SV15 )
= $true )
| ( ( cTEST @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(482,plain,
! [SV15: $i] :
( ( ( cC140 @ SV15 )
= $false )
| ( ( ~ ( cC116 @ SV15 ) )
= $true )
| ( ( cTEST @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(483,plain,
! [SV13: $i] :
( ( ( cC138 @ SV13 )
= $false )
| ( ( cTOP @ SV13 )
= $false )
| ( ( cC140 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(484,plain,
! [SV15: $i] :
( ( ( cC116 @ SV15 )
= $false )
| ( ( cC140 @ SV15 )
= $false )
| ( ( cTEST @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(485,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[410,484,483,481,480,478,477,470,469,458,453,444,441,415,414,413,412,411]) ).
thf(486,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(487,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(488,plain,
( ( ! [X: $i] :
( ( cC140 @ X )
<=> ( ( cTOP @ X )
& ( cC138 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(489,plain,
( ( ! [X: $i] :
( ( cTEST @ X )
<=> ( ( cC140 @ X )
& ( cC116 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(490,plain,
( ( cTOP @ iV5475 )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(491,plain,
( ( cowlThing @ iV5475 )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(492,plain,
( ( cC114xcomp @ iV5475 )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(493,plain,
( ( cTEST @ iV5475 )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(494,plain,
( ( cowlThing @ iV5476 )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(495,plain,
( ( cowlThing @ iV5478 )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(496,plain,
( ( ~ ( cC116 @ iV5475 ) )
= $true ),
inference(copy,[status(thm)],[171]) ).
thf(497,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(498,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cTEST @ SX0 )
| ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) )
| ( cTEST @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[489]) ).
thf(499,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(500,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cC140 @ SX0 )
| ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) )
| ( cC140 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(501,plain,
( ( cC116 @ iV5475 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(502,plain,
! [SV17: $i] :
( ( ~ ( ~ ( cowlThing @ SV17 )
| ~ ~ ( cowlNothing @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(503,plain,
! [SV18: $i] :
( ( ~ ( ~ ( ~ ( cTEST @ SV18 )
| ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) )
| ( cTEST @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(504,plain,
! [SV19: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV19 )
| ~ ( xsd_integer @ SV19 ) )
| ~ ( ~ ~ ( xsd_integer @ SV19 )
| ( xsd_string @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(505,plain,
! [SV20: $i] :
( ( ~ ( ~ ( ~ ( cC140 @ SV20 )
| ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) )
| ( cC140 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(506,plain,
! [SV17: $i] :
( ( ~ ( cowlThing @ SV17 )
| ~ ~ ( cowlNothing @ SV17 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(507,plain,
! [SV18: $i] :
( ( ~ ( ~ ( cTEST @ SV18 )
| ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) )
| ( cTEST @ SV18 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(508,plain,
! [SV19: $i] :
( ( ~ ( ~ ( xsd_string @ SV19 )
| ~ ( xsd_integer @ SV19 ) )
| ~ ( ~ ~ ( xsd_integer @ SV19 )
| ( xsd_string @ SV19 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(509,plain,
! [SV20: $i] :
( ( ~ ( ~ ( cC140 @ SV20 )
| ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) )
| ( cC140 @ SV20 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(510,plain,
! [SV17: $i] :
( ( ~ ( cowlThing @ SV17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(511,plain,
! [SV17: $i] :
( ( ~ ~ ( cowlNothing @ SV17 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(512,plain,
! [SV18: $i] :
( ( ~ ( ~ ( cTEST @ SV18 )
| ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(513,plain,
! [SV18: $i] :
( ( ~ ( ~ ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) )
| ( cTEST @ SV18 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(514,plain,
! [SV19: $i] :
( ( ~ ( ~ ( xsd_string @ SV19 )
| ~ ( xsd_integer @ SV19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(515,plain,
! [SV19: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV19 )
| ( xsd_string @ SV19 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(516,plain,
! [SV20: $i] :
( ( ~ ( ~ ( cC140 @ SV20 )
| ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(517,plain,
! [SV20: $i] :
( ( ~ ( ~ ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) )
| ( cC140 @ SV20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(518,plain,
! [SV17: $i] :
( ( cowlThing @ SV17 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(519,plain,
! [SV17: $i] :
( ( ~ ( cowlNothing @ SV17 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(520,plain,
! [SV18: $i] :
( ( ~ ( cTEST @ SV18 )
| ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(521,plain,
! [SV18: $i] :
( ( ~ ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) )
| ( cTEST @ SV18 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(522,plain,
! [SV19: $i] :
( ( ~ ( xsd_string @ SV19 )
| ~ ( xsd_integer @ SV19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(523,plain,
! [SV19: $i] :
( ( ~ ~ ( xsd_integer @ SV19 )
| ( xsd_string @ SV19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(524,plain,
! [SV20: $i] :
( ( ~ ( cC140 @ SV20 )
| ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(525,plain,
! [SV20: $i] :
( ( ~ ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) )
| ( cC140 @ SV20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(526,plain,
! [SV17: $i] :
( ( cowlNothing @ SV17 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(527,plain,
! [SV18: $i] :
( ( ( ~ ( cTEST @ SV18 ) )
= $true )
| ( ( ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(528,plain,
! [SV18: $i] :
( ( ( ~ ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) ) )
= $true )
| ( ( cTEST @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(529,plain,
! [SV19: $i] :
( ( ( ~ ( xsd_string @ SV19 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(530,plain,
! [SV19: $i] :
( ( ( ~ ~ ( xsd_integer @ SV19 ) )
= $true )
| ( ( xsd_string @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(531,plain,
! [SV20: $i] :
( ( ( ~ ( cC140 @ SV20 ) )
= $true )
| ( ( ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(532,plain,
! [SV20: $i] :
( ( ( ~ ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) ) )
= $true )
| ( ( cC140 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(533,plain,
! [SV18: $i] :
( ( ( cTEST @ SV18 )
= $false )
| ( ( ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(534,plain,
! [SV18: $i] :
( ( ( ~ ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) ) )
= $false )
| ( ( cTEST @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(535,plain,
! [SV19: $i] :
( ( ( xsd_string @ SV19 )
= $false )
| ( ( ~ ( xsd_integer @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(536,plain,
! [SV19: $i] :
( ( ( ~ ( xsd_integer @ SV19 ) )
= $false )
| ( ( xsd_string @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(537,plain,
! [SV20: $i] :
( ( ( cC140 @ SV20 )
= $false )
| ( ( ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(538,plain,
! [SV20: $i] :
( ( ( ~ ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) ) )
= $false )
| ( ( cC140 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(539,plain,
! [SV18: $i] :
( ( ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) )
= $false )
| ( ( cTEST @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(540,plain,
! [SV18: $i] :
( ( ( ~ ( cC140 @ SV18 )
| ~ ( cC116 @ SV18 ) )
= $true )
| ( ( cTEST @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[534]) ).
thf(541,plain,
! [SV19: $i] :
( ( ( xsd_integer @ SV19 )
= $false )
| ( ( xsd_string @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(542,plain,
! [SV19: $i] :
( ( ( xsd_integer @ SV19 )
= $true )
| ( ( xsd_string @ SV19 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(543,plain,
! [SV20: $i] :
( ( ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) )
= $false )
| ( ( cC140 @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(544,plain,
! [SV20: $i] :
( ( ( ~ ( cTOP @ SV20 )
| ~ ( cC138 @ SV20 ) )
= $true )
| ( ( cC140 @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(545,plain,
! [SV18: $i] :
( ( ( ~ ( cC140 @ SV18 ) )
= $false )
| ( ( cTEST @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(546,plain,
! [SV18: $i] :
( ( ( ~ ( cC116 @ SV18 ) )
= $false )
| ( ( cTEST @ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(547,plain,
! [SV18: $i] :
( ( ( ~ ( cC140 @ SV18 ) )
= $true )
| ( ( ~ ( cC116 @ SV18 ) )
= $true )
| ( ( cTEST @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(548,plain,
! [SV20: $i] :
( ( ( ~ ( cTOP @ SV20 ) )
= $false )
| ( ( cC140 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(549,plain,
! [SV20: $i] :
( ( ( ~ ( cC138 @ SV20 ) )
= $false )
| ( ( cC140 @ SV20 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(550,plain,
! [SV20: $i] :
( ( ( ~ ( cTOP @ SV20 ) )
= $true )
| ( ( ~ ( cC138 @ SV20 ) )
= $true )
| ( ( cC140 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(551,plain,
! [SV18: $i] :
( ( ( cC140 @ SV18 )
= $true )
| ( ( cTEST @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[545]) ).
thf(552,plain,
! [SV18: $i] :
( ( ( cC116 @ SV18 )
= $true )
| ( ( cTEST @ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(553,plain,
! [SV18: $i] :
( ( ( cC140 @ SV18 )
= $false )
| ( ( ~ ( cC116 @ SV18 ) )
= $true )
| ( ( cTEST @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(554,plain,
! [SV20: $i] :
( ( ( cTOP @ SV20 )
= $true )
| ( ( cC140 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(555,plain,
! [SV20: $i] :
( ( ( cC138 @ SV20 )
= $true )
| ( ( cC140 @ SV20 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(556,plain,
! [SV20: $i] :
( ( ( cTOP @ SV20 )
= $false )
| ( ( ~ ( cC138 @ SV20 ) )
= $true )
| ( ( cC140 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(557,plain,
! [SV18: $i] :
( ( ( cC116 @ SV18 )
= $false )
| ( ( cC140 @ SV18 )
= $false )
| ( ( cTEST @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(558,plain,
! [SV20: $i] :
( ( ( cC138 @ SV20 )
= $false )
| ( ( cTOP @ SV20 )
= $false )
| ( ( cC140 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(559,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[490,558,557,555,554,552,551,542,541,526,518,501,495,494,493,492,491]) ).
thf(560,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(561,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(562,plain,
( ( ! [X: $i] :
( ( cC140 @ X )
<=> ( ( cTOP @ X )
& ( cC138 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(563,plain,
( ( ! [X: $i] :
( ( cTEST @ X )
<=> ( ( cC140 @ X )
& ( cC116 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(564,plain,
( ( cTOP @ iV5475 )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(565,plain,
( ( cowlThing @ iV5475 )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(566,plain,
( ( cC114xcomp @ iV5475 )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(567,plain,
( ( cTEST @ iV5475 )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(568,plain,
( ( cowlThing @ iV5476 )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(569,plain,
( ( cowlThing @ iV5478 )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(570,plain,
( ( ~ ( cC140 @ iV5475 ) )
= $true ),
inference(copy,[status(thm)],[172]) ).
thf(571,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[561]) ).
thf(572,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[560]) ).
thf(573,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cC140 @ SX0 )
| ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) )
| ( cC140 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[562]) ).
thf(574,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cTEST @ SX0 )
| ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) )
| ( cTEST @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[563]) ).
thf(575,plain,
( ( cC140 @ iV5475 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(576,plain,
! [SV21: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV21 )
| ~ ( xsd_integer @ SV21 ) )
| ~ ( ~ ~ ( xsd_integer @ SV21 )
| ( xsd_string @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(577,plain,
! [SV22: $i] :
( ( ~ ( ~ ( cowlThing @ SV22 )
| ~ ~ ( cowlNothing @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(578,plain,
! [SV23: $i] :
( ( ~ ( ~ ( ~ ( cC140 @ SV23 )
| ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) )
| ( cC140 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(579,plain,
! [SV24: $i] :
( ( ~ ( ~ ( ~ ( cTEST @ SV24 )
| ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) )
| ( cTEST @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(580,plain,
! [SV21: $i] :
( ( ~ ( ~ ( xsd_string @ SV21 )
| ~ ( xsd_integer @ SV21 ) )
| ~ ( ~ ~ ( xsd_integer @ SV21 )
| ( xsd_string @ SV21 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(581,plain,
! [SV22: $i] :
( ( ~ ( cowlThing @ SV22 )
| ~ ~ ( cowlNothing @ SV22 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(582,plain,
! [SV23: $i] :
( ( ~ ( ~ ( cC140 @ SV23 )
| ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) )
| ( cC140 @ SV23 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(583,plain,
! [SV24: $i] :
( ( ~ ( ~ ( cTEST @ SV24 )
| ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) )
| ( cTEST @ SV24 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(584,plain,
! [SV21: $i] :
( ( ~ ( ~ ( xsd_string @ SV21 )
| ~ ( xsd_integer @ SV21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(585,plain,
! [SV21: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV21 )
| ( xsd_string @ SV21 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(586,plain,
! [SV22: $i] :
( ( ~ ( cowlThing @ SV22 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(587,plain,
! [SV22: $i] :
( ( ~ ~ ( cowlNothing @ SV22 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(588,plain,
! [SV23: $i] :
( ( ~ ( ~ ( cC140 @ SV23 )
| ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(589,plain,
! [SV23: $i] :
( ( ~ ( ~ ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) )
| ( cC140 @ SV23 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[582]) ).
thf(590,plain,
! [SV24: $i] :
( ( ~ ( ~ ( cTEST @ SV24 )
| ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(591,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) )
| ( cTEST @ SV24 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[583]) ).
thf(592,plain,
! [SV21: $i] :
( ( ~ ( xsd_string @ SV21 )
| ~ ( xsd_integer @ SV21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(593,plain,
! [SV21: $i] :
( ( ~ ~ ( xsd_integer @ SV21 )
| ( xsd_string @ SV21 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(594,plain,
! [SV22: $i] :
( ( cowlThing @ SV22 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(595,plain,
! [SV22: $i] :
( ( ~ ( cowlNothing @ SV22 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(596,plain,
! [SV23: $i] :
( ( ~ ( cC140 @ SV23 )
| ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(597,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) )
| ( cC140 @ SV23 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[589]) ).
thf(598,plain,
! [SV24: $i] :
( ( ~ ( cTEST @ SV24 )
| ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(599,plain,
! [SV24: $i] :
( ( ~ ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) )
| ( cTEST @ SV24 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(600,plain,
! [SV21: $i] :
( ( ( ~ ( xsd_string @ SV21 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(601,plain,
! [SV21: $i] :
( ( ( ~ ~ ( xsd_integer @ SV21 ) )
= $true )
| ( ( xsd_string @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(602,plain,
! [SV22: $i] :
( ( cowlNothing @ SV22 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(603,plain,
! [SV23: $i] :
( ( ( ~ ( cC140 @ SV23 ) )
= $true )
| ( ( ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(604,plain,
! [SV23: $i] :
( ( ( ~ ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) ) )
= $true )
| ( ( cC140 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(605,plain,
! [SV24: $i] :
( ( ( ~ ( cTEST @ SV24 ) )
= $true )
| ( ( ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(606,plain,
! [SV24: $i] :
( ( ( ~ ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) ) )
= $true )
| ( ( cTEST @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(607,plain,
! [SV21: $i] :
( ( ( xsd_string @ SV21 )
= $false )
| ( ( ~ ( xsd_integer @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(608,plain,
! [SV21: $i] :
( ( ( ~ ( xsd_integer @ SV21 ) )
= $false )
| ( ( xsd_string @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(609,plain,
! [SV23: $i] :
( ( ( cC140 @ SV23 )
= $false )
| ( ( ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(610,plain,
! [SV23: $i] :
( ( ( ~ ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) ) )
= $false )
| ( ( cC140 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(611,plain,
! [SV24: $i] :
( ( ( cTEST @ SV24 )
= $false )
| ( ( ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(612,plain,
! [SV24: $i] :
( ( ( ~ ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) ) )
= $false )
| ( ( cTEST @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(613,plain,
! [SV21: $i] :
( ( ( xsd_integer @ SV21 )
= $false )
| ( ( xsd_string @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(614,plain,
! [SV21: $i] :
( ( ( xsd_integer @ SV21 )
= $true )
| ( ( xsd_string @ SV21 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(615,plain,
! [SV23: $i] :
( ( ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) )
= $false )
| ( ( cC140 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(616,plain,
! [SV23: $i] :
( ( ( ~ ( cTOP @ SV23 )
| ~ ( cC138 @ SV23 ) )
= $true )
| ( ( cC140 @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(617,plain,
! [SV24: $i] :
( ( ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) )
= $false )
| ( ( cTEST @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(618,plain,
! [SV24: $i] :
( ( ( ~ ( cC140 @ SV24 )
| ~ ( cC116 @ SV24 ) )
= $true )
| ( ( cTEST @ SV24 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(619,plain,
! [SV23: $i] :
( ( ( ~ ( cTOP @ SV23 ) )
= $false )
| ( ( cC140 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(620,plain,
! [SV23: $i] :
( ( ( ~ ( cC138 @ SV23 ) )
= $false )
| ( ( cC140 @ SV23 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(621,plain,
! [SV23: $i] :
( ( ( ~ ( cTOP @ SV23 ) )
= $true )
| ( ( ~ ( cC138 @ SV23 ) )
= $true )
| ( ( cC140 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(622,plain,
! [SV24: $i] :
( ( ( ~ ( cC140 @ SV24 ) )
= $false )
| ( ( cTEST @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(623,plain,
! [SV24: $i] :
( ( ( ~ ( cC116 @ SV24 ) )
= $false )
| ( ( cTEST @ SV24 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[617]) ).
thf(624,plain,
! [SV24: $i] :
( ( ( ~ ( cC140 @ SV24 ) )
= $true )
| ( ( ~ ( cC116 @ SV24 ) )
= $true )
| ( ( cTEST @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(625,plain,
! [SV23: $i] :
( ( ( cTOP @ SV23 )
= $true )
| ( ( cC140 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(626,plain,
! [SV23: $i] :
( ( ( cC138 @ SV23 )
= $true )
| ( ( cC140 @ SV23 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(627,plain,
! [SV23: $i] :
( ( ( cTOP @ SV23 )
= $false )
| ( ( ~ ( cC138 @ SV23 ) )
= $true )
| ( ( cC140 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(628,plain,
! [SV24: $i] :
( ( ( cC140 @ SV24 )
= $true )
| ( ( cTEST @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(629,plain,
! [SV24: $i] :
( ( ( cC116 @ SV24 )
= $true )
| ( ( cTEST @ SV24 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[623]) ).
thf(630,plain,
! [SV24: $i] :
( ( ( cC140 @ SV24 )
= $false )
| ( ( ~ ( cC116 @ SV24 ) )
= $true )
| ( ( cTEST @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(631,plain,
! [SV23: $i] :
( ( ( cC138 @ SV23 )
= $false )
| ( ( cTOP @ SV23 )
= $false )
| ( ( cC140 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[627]) ).
thf(632,plain,
! [SV24: $i] :
( ( ( cC116 @ SV24 )
= $false )
| ( ( cC140 @ SV24 )
= $false )
| ( ( cTEST @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(633,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[564,632,631,629,628,626,625,614,613,602,594,575,569,568,567,566,565]) ).
thf(634,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(635,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(636,plain,
( ( ! [X: $i] :
( ( cC140 @ X )
<=> ( ( cTOP @ X )
& ( cC138 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(637,plain,
( ( ! [X: $i] :
( ( cTEST @ X )
<=> ( ( cC140 @ X )
& ( cC116 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(638,plain,
( ( cTOP @ iV5475 )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(639,plain,
( ( cowlThing @ iV5475 )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(640,plain,
( ( cC114xcomp @ iV5475 )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(641,plain,
( ( cTEST @ iV5475 )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(642,plain,
( ( cowlThing @ iV5476 )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(643,plain,
( ( cowlThing @ iV5478 )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(644,plain,
( ( ~ ( cowlThing @ iV5475 ) )
= $true ),
inference(copy,[status(thm)],[173]) ).
thf(645,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cC140 @ SX0 )
| ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) )
| ( cC140 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[636]) ).
thf(646,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cTEST @ SX0 )
| ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) )
| ( cTEST @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[637]) ).
thf(647,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[635]) ).
thf(648,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[634]) ).
thf(649,plain,
( ( cowlThing @ iV5475 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(650,plain,
! [SV25: $i] :
( ( ~ ( ~ ( ~ ( cC140 @ SV25 )
| ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) )
| ( cC140 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(651,plain,
! [SV26: $i] :
( ( ~ ( ~ ( ~ ( cTEST @ SV26 )
| ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) )
| ( cTEST @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(652,plain,
! [SV27: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV27 )
| ~ ( xsd_integer @ SV27 ) )
| ~ ( ~ ~ ( xsd_integer @ SV27 )
| ( xsd_string @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(653,plain,
! [SV28: $i] :
( ( ~ ( ~ ( cowlThing @ SV28 )
| ~ ~ ( cowlNothing @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(654,plain,
! [SV25: $i] :
( ( ~ ( ~ ( cC140 @ SV25 )
| ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) )
| ( cC140 @ SV25 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(655,plain,
! [SV26: $i] :
( ( ~ ( ~ ( cTEST @ SV26 )
| ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) )
| ( cTEST @ SV26 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(656,plain,
! [SV27: $i] :
( ( ~ ( ~ ( xsd_string @ SV27 )
| ~ ( xsd_integer @ SV27 ) )
| ~ ( ~ ~ ( xsd_integer @ SV27 )
| ( xsd_string @ SV27 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(657,plain,
! [SV28: $i] :
( ( ~ ( cowlThing @ SV28 )
| ~ ~ ( cowlNothing @ SV28 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(658,plain,
! [SV25: $i] :
( ( ~ ( ~ ( cC140 @ SV25 )
| ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(659,plain,
! [SV25: $i] :
( ( ~ ( ~ ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) )
| ( cC140 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(660,plain,
! [SV26: $i] :
( ( ~ ( ~ ( cTEST @ SV26 )
| ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(661,plain,
! [SV26: $i] :
( ( ~ ( ~ ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) )
| ( cTEST @ SV26 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(662,plain,
! [SV27: $i] :
( ( ~ ( ~ ( xsd_string @ SV27 )
| ~ ( xsd_integer @ SV27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(663,plain,
! [SV27: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV27 )
| ( xsd_string @ SV27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[656]) ).
thf(664,plain,
! [SV28: $i] :
( ( ~ ( cowlThing @ SV28 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(665,plain,
! [SV28: $i] :
( ( ~ ~ ( cowlNothing @ SV28 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(666,plain,
! [SV25: $i] :
( ( ~ ( cC140 @ SV25 )
| ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(667,plain,
! [SV25: $i] :
( ( ~ ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) )
| ( cC140 @ SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(668,plain,
! [SV26: $i] :
( ( ~ ( cTEST @ SV26 )
| ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(669,plain,
! [SV26: $i] :
( ( ~ ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) )
| ( cTEST @ SV26 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(670,plain,
! [SV27: $i] :
( ( ~ ( xsd_string @ SV27 )
| ~ ( xsd_integer @ SV27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(671,plain,
! [SV27: $i] :
( ( ~ ~ ( xsd_integer @ SV27 )
| ( xsd_string @ SV27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(672,plain,
! [SV28: $i] :
( ( cowlThing @ SV28 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(673,plain,
! [SV28: $i] :
( ( ~ ( cowlNothing @ SV28 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(674,plain,
! [SV25: $i] :
( ( ( ~ ( cC140 @ SV25 ) )
= $true )
| ( ( ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(675,plain,
! [SV25: $i] :
( ( ( ~ ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) ) )
= $true )
| ( ( cC140 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(676,plain,
! [SV26: $i] :
( ( ( ~ ( cTEST @ SV26 ) )
= $true )
| ( ( ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(677,plain,
! [SV26: $i] :
( ( ( ~ ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) ) )
= $true )
| ( ( cTEST @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(678,plain,
! [SV27: $i] :
( ( ( ~ ( xsd_string @ SV27 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(679,plain,
! [SV27: $i] :
( ( ( ~ ~ ( xsd_integer @ SV27 ) )
= $true )
| ( ( xsd_string @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(680,plain,
! [SV28: $i] :
( ( cowlNothing @ SV28 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(681,plain,
! [SV25: $i] :
( ( ( cC140 @ SV25 )
= $false )
| ( ( ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(682,plain,
! [SV25: $i] :
( ( ( ~ ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) ) )
= $false )
| ( ( cC140 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(683,plain,
! [SV26: $i] :
( ( ( cTEST @ SV26 )
= $false )
| ( ( ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(684,plain,
! [SV26: $i] :
( ( ( ~ ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) ) )
= $false )
| ( ( cTEST @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(685,plain,
! [SV27: $i] :
( ( ( xsd_string @ SV27 )
= $false )
| ( ( ~ ( xsd_integer @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(686,plain,
! [SV27: $i] :
( ( ( ~ ( xsd_integer @ SV27 ) )
= $false )
| ( ( xsd_string @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(687,plain,
! [SV25: $i] :
( ( ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) )
= $false )
| ( ( cC140 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(688,plain,
! [SV25: $i] :
( ( ( ~ ( cTOP @ SV25 )
| ~ ( cC138 @ SV25 ) )
= $true )
| ( ( cC140 @ SV25 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[682]) ).
thf(689,plain,
! [SV26: $i] :
( ( ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) )
= $false )
| ( ( cTEST @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(690,plain,
! [SV26: $i] :
( ( ( ~ ( cC140 @ SV26 )
| ~ ( cC116 @ SV26 ) )
= $true )
| ( ( cTEST @ SV26 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(691,plain,
! [SV27: $i] :
( ( ( xsd_integer @ SV27 )
= $false )
| ( ( xsd_string @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(692,plain,
! [SV27: $i] :
( ( ( xsd_integer @ SV27 )
= $true )
| ( ( xsd_string @ SV27 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(693,plain,
! [SV25: $i] :
( ( ( ~ ( cTOP @ SV25 ) )
= $false )
| ( ( cC140 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(694,plain,
! [SV25: $i] :
( ( ( ~ ( cC138 @ SV25 ) )
= $false )
| ( ( cC140 @ SV25 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[687]) ).
thf(695,plain,
! [SV25: $i] :
( ( ( ~ ( cTOP @ SV25 ) )
= $true )
| ( ( ~ ( cC138 @ SV25 ) )
= $true )
| ( ( cC140 @ SV25 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(696,plain,
! [SV26: $i] :
( ( ( ~ ( cC140 @ SV26 ) )
= $false )
| ( ( cTEST @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[689]) ).
thf(697,plain,
! [SV26: $i] :
( ( ( ~ ( cC116 @ SV26 ) )
= $false )
| ( ( cTEST @ SV26 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[689]) ).
thf(698,plain,
! [SV26: $i] :
( ( ( ~ ( cC140 @ SV26 ) )
= $true )
| ( ( ~ ( cC116 @ SV26 ) )
= $true )
| ( ( cTEST @ SV26 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(699,plain,
! [SV25: $i] :
( ( ( cTOP @ SV25 )
= $true )
| ( ( cC140 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(700,plain,
! [SV25: $i] :
( ( ( cC138 @ SV25 )
= $true )
| ( ( cC140 @ SV25 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(701,plain,
! [SV25: $i] :
( ( ( cTOP @ SV25 )
= $false )
| ( ( ~ ( cC138 @ SV25 ) )
= $true )
| ( ( cC140 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(702,plain,
! [SV26: $i] :
( ( ( cC140 @ SV26 )
= $true )
| ( ( cTEST @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(703,plain,
! [SV26: $i] :
( ( ( cC116 @ SV26 )
= $true )
| ( ( cTEST @ SV26 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(704,plain,
! [SV26: $i] :
( ( ( cC140 @ SV26 )
= $false )
| ( ( ~ ( cC116 @ SV26 ) )
= $true )
| ( ( cTEST @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(705,plain,
! [SV25: $i] :
( ( ( cC138 @ SV25 )
= $false )
| ( ( cTOP @ SV25 )
= $false )
| ( ( cC140 @ SV25 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[701]) ).
thf(706,plain,
! [SV26: $i] :
( ( ( cC116 @ SV26 )
= $false )
| ( ( cC140 @ SV26 )
= $false )
| ( ( cTEST @ SV26 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(707,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[638,706,705,703,702,700,699,692,691,680,672,649,643,642,641,640,639]) ).
thf(708,plain,
( ( ! [X: $i] :
( ( cowlThing @ X )
& ~ ( cowlNothing @ X ) ) )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(709,plain,
( ( ! [X: $i] :
( ( xsd_string @ X )
<=> ~ ( xsd_integer @ X ) ) )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(710,plain,
( ( ! [X: $i] :
( ( cC140 @ X )
<=> ( ( cTOP @ X )
& ( cC138 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(711,plain,
( ( ! [X: $i] :
( ( cTEST @ X )
<=> ( ( cC140 @ X )
& ( cC116 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(712,plain,
( ( cTOP @ iV5475 )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(713,plain,
( ( cowlThing @ iV5475 )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(714,plain,
( ( cC114xcomp @ iV5475 )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(715,plain,
( ( cTEST @ iV5475 )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(716,plain,
( ( cowlThing @ iV5476 )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(717,plain,
( ( cowlThing @ iV5478 )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(718,plain,
( ( ~ ( cC138 @ iV5475 ) )
= $true ),
inference(copy,[status(thm)],[174]) ).
thf(719,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( xsd_string @ SX0 )
| ~ ( xsd_integer @ SX0 ) )
| ~ ( ~ ~ ( xsd_integer @ SX0 )
| ( xsd_string @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[709]) ).
thf(720,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cTEST @ SX0 )
| ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SX0 )
| ~ ( cC116 @ SX0 ) )
| ( cTEST @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[711]) ).
thf(721,plain,
( ( ! [SX0: $i] :
~ ( ~ ( cowlThing @ SX0 )
| ~ ~ ( cowlNothing @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[708]) ).
thf(722,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( cC140 @ SX0 )
| ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SX0 )
| ~ ( cC138 @ SX0 ) )
| ( cC140 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[710]) ).
thf(723,plain,
( ( cC138 @ iV5475 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(724,plain,
! [SV29: $i] :
( ( ~ ( ~ ( ~ ( xsd_string @ SV29 )
| ~ ( xsd_integer @ SV29 ) )
| ~ ( ~ ~ ( xsd_integer @ SV29 )
| ( xsd_string @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(725,plain,
! [SV30: $i] :
( ( ~ ( ~ ( ~ ( cTEST @ SV30 )
| ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) )
| ( cTEST @ SV30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(726,plain,
! [SV31: $i] :
( ( ~ ( ~ ( cowlThing @ SV31 )
| ~ ~ ( cowlNothing @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(727,plain,
! [SV32: $i] :
( ( ~ ( ~ ( ~ ( cC140 @ SV32 )
| ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) )
| ( cC140 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(728,plain,
! [SV29: $i] :
( ( ~ ( ~ ( xsd_string @ SV29 )
| ~ ( xsd_integer @ SV29 ) )
| ~ ( ~ ~ ( xsd_integer @ SV29 )
| ( xsd_string @ SV29 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(729,plain,
! [SV30: $i] :
( ( ~ ( ~ ( cTEST @ SV30 )
| ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) ) )
| ~ ( ~ ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) )
| ( cTEST @ SV30 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(730,plain,
! [SV31: $i] :
( ( ~ ( cowlThing @ SV31 )
| ~ ~ ( cowlNothing @ SV31 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(731,plain,
! [SV32: $i] :
( ( ~ ( ~ ( cC140 @ SV32 )
| ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) ) )
| ~ ( ~ ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) )
| ( cC140 @ SV32 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(732,plain,
! [SV29: $i] :
( ( ~ ( ~ ( xsd_string @ SV29 )
| ~ ( xsd_integer @ SV29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(733,plain,
! [SV29: $i] :
( ( ~ ( ~ ~ ( xsd_integer @ SV29 )
| ( xsd_string @ SV29 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(734,plain,
! [SV30: $i] :
( ( ~ ( ~ ( cTEST @ SV30 )
| ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(735,plain,
! [SV30: $i] :
( ( ~ ( ~ ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) )
| ( cTEST @ SV30 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[729]) ).
thf(736,plain,
! [SV31: $i] :
( ( ~ ( cowlThing @ SV31 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(737,plain,
! [SV31: $i] :
( ( ~ ~ ( cowlNothing @ SV31 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(738,plain,
! [SV32: $i] :
( ( ~ ( ~ ( cC140 @ SV32 )
| ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(739,plain,
! [SV32: $i] :
( ( ~ ( ~ ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) )
| ( cC140 @ SV32 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(740,plain,
! [SV29: $i] :
( ( ~ ( xsd_string @ SV29 )
| ~ ( xsd_integer @ SV29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(741,plain,
! [SV29: $i] :
( ( ~ ~ ( xsd_integer @ SV29 )
| ( xsd_string @ SV29 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(742,plain,
! [SV30: $i] :
( ( ~ ( cTEST @ SV30 )
| ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[734]) ).
thf(743,plain,
! [SV30: $i] :
( ( ~ ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) )
| ( cTEST @ SV30 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(744,plain,
! [SV31: $i] :
( ( cowlThing @ SV31 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(745,plain,
! [SV31: $i] :
( ( ~ ( cowlNothing @ SV31 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[737]) ).
thf(746,plain,
! [SV32: $i] :
( ( ~ ( cC140 @ SV32 )
| ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(747,plain,
! [SV32: $i] :
( ( ~ ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) )
| ( cC140 @ SV32 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(748,plain,
! [SV29: $i] :
( ( ( ~ ( xsd_string @ SV29 ) )
= $true )
| ( ( ~ ( xsd_integer @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(749,plain,
! [SV29: $i] :
( ( ( ~ ~ ( xsd_integer @ SV29 ) )
= $true )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(750,plain,
! [SV30: $i] :
( ( ( ~ ( cTEST @ SV30 ) )
= $true )
| ( ( ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(751,plain,
! [SV30: $i] :
( ( ( ~ ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) ) )
= $true )
| ( ( cTEST @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(752,plain,
! [SV31: $i] :
( ( cowlNothing @ SV31 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(753,plain,
! [SV32: $i] :
( ( ( ~ ( cC140 @ SV32 ) )
= $true )
| ( ( ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(754,plain,
! [SV32: $i] :
( ( ( ~ ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) ) )
= $true )
| ( ( cC140 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(755,plain,
! [SV29: $i] :
( ( ( xsd_string @ SV29 )
= $false )
| ( ( ~ ( xsd_integer @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(756,plain,
! [SV29: $i] :
( ( ( ~ ( xsd_integer @ SV29 ) )
= $false )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(757,plain,
! [SV30: $i] :
( ( ( cTEST @ SV30 )
= $false )
| ( ( ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(758,plain,
! [SV30: $i] :
( ( ( ~ ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) ) )
= $false )
| ( ( cTEST @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(759,plain,
! [SV32: $i] :
( ( ( cC140 @ SV32 )
= $false )
| ( ( ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(760,plain,
! [SV32: $i] :
( ( ( ~ ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) ) )
= $false )
| ( ( cC140 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(761,plain,
! [SV29: $i] :
( ( ( xsd_integer @ SV29 )
= $false )
| ( ( xsd_string @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(762,plain,
! [SV29: $i] :
( ( ( xsd_integer @ SV29 )
= $true )
| ( ( xsd_string @ SV29 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(763,plain,
! [SV30: $i] :
( ( ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) )
= $false )
| ( ( cTEST @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(764,plain,
! [SV30: $i] :
( ( ( ~ ( cC140 @ SV30 )
| ~ ( cC116 @ SV30 ) )
= $true )
| ( ( cTEST @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(765,plain,
! [SV32: $i] :
( ( ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) )
= $false )
| ( ( cC140 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(766,plain,
! [SV32: $i] :
( ( ( ~ ( cTOP @ SV32 )
| ~ ( cC138 @ SV32 ) )
= $true )
| ( ( cC140 @ SV32 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(767,plain,
! [SV30: $i] :
( ( ( ~ ( cC140 @ SV30 ) )
= $false )
| ( ( cTEST @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(768,plain,
! [SV30: $i] :
( ( ( ~ ( cC116 @ SV30 ) )
= $false )
| ( ( cTEST @ SV30 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[763]) ).
thf(769,plain,
! [SV30: $i] :
( ( ( ~ ( cC140 @ SV30 ) )
= $true )
| ( ( ~ ( cC116 @ SV30 ) )
= $true )
| ( ( cTEST @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(770,plain,
! [SV32: $i] :
( ( ( ~ ( cTOP @ SV32 ) )
= $false )
| ( ( cC140 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(771,plain,
! [SV32: $i] :
( ( ( ~ ( cC138 @ SV32 ) )
= $false )
| ( ( cC140 @ SV32 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(772,plain,
! [SV32: $i] :
( ( ( ~ ( cTOP @ SV32 ) )
= $true )
| ( ( ~ ( cC138 @ SV32 ) )
= $true )
| ( ( cC140 @ SV32 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(773,plain,
! [SV30: $i] :
( ( ( cC140 @ SV30 )
= $true )
| ( ( cTEST @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[767]) ).
thf(774,plain,
! [SV30: $i] :
( ( ( cC116 @ SV30 )
= $true )
| ( ( cTEST @ SV30 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[768]) ).
thf(775,plain,
! [SV30: $i] :
( ( ( cC140 @ SV30 )
= $false )
| ( ( ~ ( cC116 @ SV30 ) )
= $true )
| ( ( cTEST @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(776,plain,
! [SV32: $i] :
( ( ( cTOP @ SV32 )
= $true )
| ( ( cC140 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(777,plain,
! [SV32: $i] :
( ( ( cC138 @ SV32 )
= $true )
| ( ( cC140 @ SV32 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(778,plain,
! [SV32: $i] :
( ( ( cTOP @ SV32 )
= $false )
| ( ( ~ ( cC138 @ SV32 ) )
= $true )
| ( ( cC140 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(779,plain,
! [SV30: $i] :
( ( ( cC116 @ SV30 )
= $false )
| ( ( cC140 @ SV30 )
= $false )
| ( ( cTEST @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(780,plain,
! [SV32: $i] :
( ( ( cC138 @ SV32 )
= $false )
| ( ( cTOP @ SV32 )
= $false )
| ( ( cC140 @ SV32 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(781,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[712,780,779,777,776,774,773,762,761,752,744,723,717,716,715,714,713]) ).
thf(782,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[781,249,325,405,485,559,633,707]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.20 % Computer : n013.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Oct 6 11:41:21 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.94/0.72 .
% 2.94/0.72
% 2.94/0.72 No.of.Axioms: 10
% 2.94/0.72
% 2.94/0.72 Length.of.Defs: 0
% 2.94/0.72
% 2.94/0.72 Contains.Choice.Funs: false
% 2.94/0.72 ..........
% 2.94/0.72
% 2.94/0.72 ********************************
% 2.94/0.72 * All subproblems solved! *
% 2.94/0.72 ********************************
% 2.94/0.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:10,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:781,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.94/0.72
% 2.94/0.72 %**** Beginning of derivation protocol ****
% 2.94/0.72 % SZS output start CNFRefutation
% See solution above
% 2.94/0.73
% 2.94/0.73 %**** End of derivation protocol ****
% 2.94/0.73 %**** no. of clauses in derivation: 647 ****
% 2.94/0.73 %**** clause counter: 781 ****
% 2.94/0.73
% 2.94/0.73 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:10,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:781,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------