%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR132^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n020.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 Sep 30 07:46:56 AM UTC 2026
% Result : Theorem 77.59s 17.77s
% Output : Refutation 80.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 120
% Syntax : Number of formulae : 1381 ( 398 unt; 0 typ; 110 def)
% Number of atoms : 7701 (2621 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 12861 (3345 ~;1080 |; 559 &;7877 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 396 ( 396 >; 0 *; 0 +; 0 <<)
% Number of symbols : 128 ( 125 usr; 121 con; 0-2 aty)
% Number of variables : 5388 (4190 ^; 480 !; 608 ?;5388 :)
% ( 0 !>; 0 ?*; 0 @-; 110 @+)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(lAnna_THFTYPE_i_decl,type,
lAnna_THFTYPE_i: $i ).
thf(lBen_THFTYPE_i_decl,type,
lBen_THFTYPE_i: $i ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_decl,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_decl,type,
lSue_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_decl,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(likes_THFTYPE_IiioI_decl,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_decl,type,
n2009_THFTYPE_i: $i ).
thf(parent_THFTYPE_IiioI_decl,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(sk9_decl,type,
sk9: $i ).
thf(sk10_decl,type,
sk10: $i ).
thf(sk13_decl,type,
sk13: $i ).
thf(sk14_decl,type,
sk14: $i ).
thf(sk23_decl,type,
sk23: $i ).
thf(sk24_decl,type,
sk24: $i ).
thf(sk25_decl,type,
sk25: $i ).
thf(sk26_decl,type,
sk26: $i ).
thf(sk27_decl,type,
sk27: $i ).
thf(sk28_decl,type,
sk28: $i ).
thf(sk29_decl,type,
sk29: $i ).
thf(sk30_decl,type,
sk30: $i ).
thf(sk31_decl,type,
sk31: $i ).
thf(sk32_decl,type,
sk32: $i ).
thf(sk33_decl,type,
sk33: $i ).
thf(sk34_decl,type,
sk34: $i ).
thf(sk35_decl,type,
sk35: $i ).
thf(sk36_decl,type,
sk36: $i ).
thf(sk43_decl,type,
sk43: $i ).
thf(sk44_decl,type,
sk44: $i ).
thf(sk45_decl,type,
sk45: $i ).
thf(sk46_decl,type,
sk46: $i ).
thf(sk47_decl,type,
sk47: $i ).
thf(sk48_decl,type,
sk48: $i ).
thf(sk51_decl,type,
sk51: $i ).
thf(sk52_decl,type,
sk52: $i ).
thf(sk53_decl,type,
sk53: $i ).
thf(sk54_decl,type,
sk54: $i ).
thf(sk55_decl,type,
sk55: $i ).
thf(sk56_decl,type,
sk56: $i ).
thf(sk57_decl,type,
sk57: $i ).
thf(sk58_decl,type,
sk58: $i ).
thf(sk91_decl,type,
sk91: $i ).
thf(sk92_decl,type,
sk92: $i ).
thf(sk99_decl,type,
sk99: $i ).
thf(sk100_decl,type,
sk100: $i ).
thf(sk114_decl,type,
sk114: $i ).
thf(sk127_decl,type,
sk127: $i ).
thf(sk128_decl,type,
sk128: $i ).
thf(sk135_decl,type,
sk135: $i ).
thf(sk136_decl,type,
sk136: $i ).
thf(sk145_decl,type,
sk145: $i ).
thf(sk146_decl,type,
sk146: $i ).
thf(sk147_decl,type,
sk147: $i ).
thf(sk148_decl,type,
sk148: $i ).
thf(sk153_decl,type,
sk153: $i ).
thf(sk154_decl,type,
sk154: $i ).
thf(sk165_decl,type,
sk165: $i ).
thf(sk166_decl,type,
sk166: $i ).
thf(sk171_decl,type,
sk171: $i ).
thf(sk172_decl,type,
sk172: $i ).
thf(sk175_decl,type,
sk175: $i ).
thf(sk176_decl,type,
sk176: $i ).
thf(sk187_decl,type,
sk187: $i ).
thf(sk188_decl,type,
sk188: $i ).
thf(sk193_decl,type,
sk193: $i ).
thf(sk194_decl,type,
sk194: $i ).
thf(sk202_decl,type,
sk202: $i ).
thf(sk204_decl,type,
sk204: $i ).
thf(sk213_decl,type,
sk213: $i ).
thf(sk214_decl,type,
sk214: $i ).
thf(sk227_decl,type,
sk227: $i ).
thf(sk228_decl,type,
sk228: $i ).
thf(sk253_decl,type,
sk253: $i ).
thf(sk254_decl,type,
sk254: $i ).
thf(sk255_decl,type,
sk255: $i ).
thf(sk256_decl,type,
sk256: $i ).
thf(sk257_decl,type,
sk257: $i ).
thf(sk258_decl,type,
sk258: $i ).
thf(sk259_decl,type,
sk259: $i ).
thf(sk260_decl,type,
sk260: $i ).
thf(sk499_decl,type,
sk499: $i ).
thf(sk500_decl,type,
sk500: $i ).
thf(sk501_decl,type,
sk501: $i ).
thf(sk502_decl,type,
sk502: $i ).
thf(sk503_decl,type,
sk503: $i ).
thf(sk504_decl,type,
sk504: $i ).
thf(sk505_decl,type,
sk505: $i ).
thf(sk506_decl,type,
sk506: $i ).
thf(sk545_decl,type,
sk545: $i ).
thf(sk546_decl,type,
sk546: $i ).
thf(sk547_decl,type,
sk547: $i ).
thf(sk548_decl,type,
sk548: $i ).
thf(sk557_decl,type,
sk557: $i ).
thf(sk558_decl,type,
sk558: $i ).
thf(sk559_decl,type,
sk559: $i ).
thf(sk560_decl,type,
sk560: $i ).
thf(sk609_decl,type,
sk609: $i ).
thf(sk610_decl,type,
sk610: $i ).
thf(sk637_decl,type,
sk637: $i ).
thf(sk638_decl,type,
sk638: $i ).
thf(sk647_decl,type,
sk647: $i ).
thf(sk648_decl,type,
sk648: $i ).
thf(sk675_decl,type,
sk675: $i ).
thf(sk676_decl,type,
sk676: $i ).
thf(sk697_decl,type,
sk697: $i ).
thf(sk698_decl,type,
sk698: $i ).
thf(sk699_decl,type,
sk699: $i ).
thf(sk700_decl,type,
sk700: $i ).
thf(sk864_decl,type,
sk864: $i ).
thf(sk883_decl,type,
sk883: ( $i > $i > $o ) > $i ).
thf(sk884_decl,type,
sk884: ( $i > $i > $o ) > $i ).
thf(sk1155_decl,type,
sk1155: $i ).
thf(sk1156_decl,type,
sk1156: $i ).
thf(sk1157_decl,type,
sk1157: $i ).
thf(sk1158_decl,type,
sk1158: $i ).
thf(sk1159_decl,type,
sk1159: $i ).
thf(sk1160_decl,type,
sk1160: $i ).
thf(sk1167_decl,type,
sk1167: $i ).
thf(sk1168_decl,type,
sk1168: $i ).
thf(sk1169_decl,type,
sk1169: $i ).
thf(sk1170_decl,type,
sk1170: $i ).
thf(sk1283_decl,type,
sk1283: $i ).
thf(sk1284_decl,type,
sk1284: $i ).
thf(sk9_def,definition,
( sk9
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk9 @ A ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk14_def,definition,
( sk14
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk13 @ A ) ) ) ).
thf(sk23_def,definition,
( sk23
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk24_def,definition,
( sk24
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk23 @ A ) ) ) ).
thf(sk25_def,definition,
( sk25
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk26_def,definition,
( sk26
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk25 @ A ) ) ) ).
thf(sk27_def,definition,
( sk27
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk28_def,definition,
( sk28
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk27 @ A ) ) ) ).
thf(sk29_def,definition,
( sk29
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk30_def,definition,
( sk30
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk29 @ A ) ) ) ).
thf(sk31_def,definition,
( sk31
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk32_def,definition,
( sk32
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk31 @ A ) ) ) ).
thf(sk33_def,definition,
( sk33
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk34_def,definition,
( sk34
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk33 @ A ) ) ) ).
thf(sk35_def,definition,
( sk35
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk36_def,definition,
( sk36
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk35 @ A ) ) ) ).
thf(sk43_def,definition,
( sk43
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk44_def,definition,
( sk44
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk43 @ A ) ) ) ).
thf(sk45_def,definition,
( sk45
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk46_def,definition,
( sk46
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk45 @ A ) ) ) ).
thf(sk47_def,definition,
( sk47
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk48_def,definition,
( sk48
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk47 @ A ) ) ) ).
thf(sk51_def,definition,
( sk51
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk52_def,definition,
( sk52
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk51 @ A ) ) ) ).
thf(sk53_def,definition,
( sk53
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk54_def,definition,
( sk54
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk53 @ A ) ) ) ).
thf(sk55_def,definition,
( sk55
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk56_def,definition,
( sk56
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk55 @ A ) ) ) ).
thf(sk57_def,definition,
( sk57
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk58_def,definition,
( sk58
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk57 @ A ) ) ) ).
thf(sk91_def,definition,
( sk91
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk92_def,definition,
( sk92
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk91 @ A ) ) ) ).
thf(sk99_def,definition,
( sk99
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk100_def,definition,
( sk100
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk99 @ A ) ) ) ).
thf(sk127_def,definition,
( sk127
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk128_def,definition,
( sk128
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk127 @ A ) ) ) ).
thf(sk135_def,definition,
( sk135
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk136_def,definition,
( sk136
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk135 @ A ) ) ) ).
thf(sk145_def,definition,
( sk145
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk146_def,definition,
( sk146
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk145 @ A ) ) ) ).
thf(sk147_def,definition,
( sk147
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk148_def,definition,
( sk148
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk147 @ A ) ) ) ).
thf(sk153_def,definition,
( sk153
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk154_def,definition,
( sk154
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk153 @ A ) ) ) ).
thf(sk165_def,definition,
( sk165
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk166_def,definition,
( sk166
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk165 @ A ) ) ) ).
thf(sk171_def,definition,
( sk171
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk172_def,definition,
( sk172
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk171 @ A ) ) ) ).
thf(sk175_def,definition,
( sk175
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk176_def,definition,
( sk176
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk175 @ A ) ) ) ).
thf(sk187_def,definition,
( sk187
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk188_def,definition,
( sk188
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk187 @ A ) ) ) ).
thf(sk193_def,definition,
( sk193
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk194_def,definition,
( sk194
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk193 @ A ) ) ) ).
thf(sk213_def,definition,
( sk213
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk214_def,definition,
( sk214
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk213 @ A ) ) ) ).
thf(sk227_def,definition,
( sk227
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk228_def,definition,
( sk228
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk227 @ A ) ) ) ).
thf(sk253_def,definition,
( sk253
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk254_def,definition,
( sk254
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk253 @ A ) ) ) ).
thf(sk255_def,definition,
( sk255
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk256_def,definition,
( sk256
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk255 @ A ) ) ) ).
thf(sk257_def,definition,
( sk257
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk258_def,definition,
( sk258
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk257 @ A ) ) ) ).
thf(sk259_def,definition,
( sk259
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk260_def,definition,
( sk260
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk259 @ A ) ) ) ).
thf(sk499_def,definition,
( sk499
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk500_def,definition,
( sk500
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk499 @ A ) ) ) ).
thf(sk501_def,definition,
( sk501
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk502_def,definition,
( sk502
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk501 @ A ) ) ) ).
thf(sk503_def,definition,
( sk503
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk504_def,definition,
( sk504
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk503 @ A ) ) ) ).
thf(sk505_def,definition,
( sk505
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk506_def,definition,
( sk506
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk505 @ A ) ) ) ).
thf(sk545_def,definition,
( sk545
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk546_def,definition,
( sk546
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk545 @ A ) ) ) ).
thf(sk547_def,definition,
( sk547
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk548_def,definition,
( sk548
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk547 @ A ) ) ) ).
thf(sk557_def,definition,
( sk557
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk558_def,definition,
( sk558
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk557 @ A ) ) ) ).
thf(sk559_def,definition,
( sk559
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk560_def,definition,
( sk560
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk559 @ A ) ) ) ).
thf(sk609_def,definition,
( sk609
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk610_def,definition,
( sk610
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk609 @ A ) ) ) ).
thf(sk637_def,definition,
( sk637
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk638_def,definition,
( sk638
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk637 @ A ) ) ) ).
thf(sk647_def,definition,
( sk647
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk648_def,definition,
( sk648
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk647 @ A ) ) ) ).
thf(sk675_def,definition,
( sk675
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk676_def,definition,
( sk676
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk675 @ A ) ) ) ).
thf(sk697_def,definition,
( sk697
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk698_def,definition,
( sk698
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk697 @ A ) ) ) ).
thf(sk699_def,definition,
( sk699
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk700_def,definition,
( sk700
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk699 @ A ) ) ) ).
thf(sk883_def,definition,
( sk883
= ( ^ [A: $i > $i > $o] :
@+[B: $i] :
? [C: $i] :
~ ( parent_THFTYPE_IiioI @ B @ C ) ) ) ).
thf(sk884_def,definition,
( sk884
= ( ^ [A: $i > $i > $o] :
@+[B: $i] :
~ ( parent_THFTYPE_IiioI @ ( sk883 @ A ) @ B ) ) ) ).
thf(sk1155_def,definition,
( sk1155
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk1156_def,definition,
( sk1156
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk1155 @ A ) ) ) ).
thf(sk1157_def,definition,
( sk1157
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk1158_def,definition,
( sk1158
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk1157 @ A ) ) ) ).
thf(sk1159_def,definition,
( sk1159
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk1160_def,definition,
( sk1160
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk1159 @ A ) ) ) ).
thf(sk1167_def,definition,
( sk1167
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk1168_def,definition,
( sk1168
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk1167 @ A ) ) ) ).
thf(sk1169_def,definition,
( sk1169
= ( @+[A: $i] :
? [B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk1170_def,definition,
( sk1170
= ( @+[A: $i] :
~ ( likes_THFTYPE_IiioI @ sk1169 @ A ) ) ) ).
thf(sk1283_def,definition,
( sk1283
= ( @+[A: $i] :
? [B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) ) ).
thf(sk1284_def,definition,
( sk1284
= ( @+[A: $i] :
~ ( parent_THFTYPE_IiioI @ sk1283 @ A ) ) ) ).
thf(6,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(17,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,conjecture,
? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(12,plain,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) ),
inference(cnf,[status(esa)],[12]) ).
thf(33,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& $true
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[17,13]) ).
thf(34,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[33]) ).
thf(67,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lBill_THFTYPE_i )
& ( A
!= ( ^ [C: $i,D: $i] : $true ) )
& ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ^ [C: $i,D: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[34:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )),bind(B,$thf( B )),bind(C,$thf( C ))]]) ).
thf(86,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lBill_THFTYPE_i )
& ( A
!= ( ^ [C: $i,D: $i] : $true ) )
& ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ^ [C: $i,D: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[67]) ).
thf(5,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(16,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(41,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[16,13]) ).
thf(42,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[41]) ).
thf(52,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[42:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(473,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[16,52]) ).
thf(474,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[473]) ).
thf(507,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[474:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ))]]) ).
thf(526,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[507]) ).
thf(536,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[17,526]) ).
thf(537,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[536]) ).
thf(560,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[537]) ).
thf(570,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[560]) ).
thf(4,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(15,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(548,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,526]) ).
thf(549,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[548]) ).
thf(558,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[549]) ).
thf(568,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[558]) ).
thf(907,plain,
( ~ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ~ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(bool_ext,[status(thm)],[568]) ).
thf(918,plain,
! [B: $i,A: $i] :
( ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [C: $i,D: $i] : $true ) ) ),
inference(cnf,[status(esa)],[907]) ).
thf(919,plain,
! [B: $i,A: $i] :
( ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [C: $i,D: $i] : $true ) )
| ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(lifteq,[status(thm)],[918]) ).
thf(10,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).
thf(21,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(532,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[21,526]) ).
thf(533,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[532]) ).
thf(554,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[533]) ).
thf(564,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[554]) ).
thf(1081,plain,
! [B: $i,A: $i] :
( ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [C: $i,D: $i] : $true ) )
| ~ ( ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [C: $i,D: $i] : $true ) ) )
| ( ( parent_THFTYPE_IiioI @ A @ B )
!= ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[919,564]) ).
thf(1082,plain,
! [B: $i,A: $i] :
( ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [C: $i,D: $i] : $true ) )
| ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [C: $i,D: $i] : $true ) )
| ( ( parent_THFTYPE_IiioI @ A @ B )
!= ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1081]) ).
thf(1083,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(pattern_uni,[status(thm)],[1082:[bind(A,$thf( lSue_THFTYPE_i )),bind(B,$thf( lAnna_THFTYPE_i ))]]) ).
thf(1088,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(lifteq,[status(thm)],[1083]) ).
thf(1108,plain,
( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(simp,[status(thm)],[1088]) ).
thf(1140,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[570,1108]) ).
thf(1141,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[1140]) ).
thf(2612,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lBill_THFTYPE_i )
& ( A
!= ( ^ [C: $i,D: $i] : $true ) )
& ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [C: $i,D: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[86,1141]) ).
thf(544,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[16,526]) ).
thf(545,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[544]) ).
thf(556,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
!= ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[545]) ).
thf(566,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
!= ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[556]) ).
thf(1142,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[566,1108]) ).
thf(1143,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
inference(simp,[status(thm)],[1142]) ).
thf(1421,plain,
( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(rewrite,[status(thm)],[1108,1143]) ).
thf(1645,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(func_ext,[status(esa)],[1421]) ).
thf(54,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBen_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[42:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ D ) ) )),bind(C,$thf( lBen_THFTYPE_i ))]]) ).
thf(818,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ lBen_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[16,54]) ).
thf(819,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ lBen_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[818]) ).
thf(845,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[819:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ))]]) ).
thf(865,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[845]) ).
thf(2046,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,865]) ).
thf(2047,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2046]) ).
thf(2054,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2047]) ).
thf(2058,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[2054]) ).
thf(2059,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[2058]) ).
thf(2060,plain,
( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(simp,[status(thm)],[2059]) ).
thf(2068,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(func_ext,[status(esa)],[2060]) ).
thf(1138,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : $true )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[52,1108]) ).
thf(1139,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
inference(simp,[status(thm)],[1138]) ).
thf(2110,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[2068,1139]) ).
thf(2111,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[2110]) ).
thf(2128,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(simp,[status(thm)],[2111]) ).
thf(2148,plain,
! [A: $i] : ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(simp,[status(thm)],[2128]) ).
thf(3,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(14,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(550,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[14,526]) ).
thf(551,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[550]) ).
thf(555,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[551]) ).
thf(565,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[555]) ).
thf(1136,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[565,1108]) ).
thf(1137,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(simp,[status(thm)],[1136]) ).
thf(7,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(18,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(35,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[18,13]) ).
thf(36,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[35]) ).
thf(76,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[36:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ E ) ) )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(1336,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,76]) ).
thf(1337,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1336]) ).
thf(1357,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[1337:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(2755,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,1357]) ).
thf(2756,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[2755]) ).
thf(2761,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[2756]) ).
thf(2767,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2761]) ).
thf(4325,plain,
( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(bool_ext,[status(thm)],[2767]) ).
thf(4366,plain,
( ( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) )
& ( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(cnf,[status(esa)],[4325]) ).
thf(4368,plain,
( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(cnfConj,[status(thm)],[4366]) ).
thf(4370,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 ) ),
inference(lifteq,[status(thm)],[4368]) ).
thf(4791,plain,
( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 ) ),
inference(func_ext,[status(esa)],[4370]) ).
thf(12586,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk127 @ sk128 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4791]) ).
thf(12587,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk127 @ sk128 ) ) ),
inference(simp,[status(thm)],[12586]) ).
thf(12592,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
| ( sk127 != lSue_THFTYPE_i )
| ( A != sk128 ) ),
inference(simp,[status(thm)],[12587]) ).
thf(12597,plain,
( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
| ( sk127 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[12592]) ).
thf(1324,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lBen_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,54]) ).
thf(1325,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lBen_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1324]) ).
thf(1347,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[1325:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(7057,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[1347,2148]) ).
thf(7131,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,7057]) ).
thf(7132,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[7131]) ).
thf(7146,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[7132]) ).
thf(7166,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[7146]) ).
thf(2067,plain,
! [A: $i] :
( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
= ( ^ [B: $i] : $true ) ),
inference(func_ext,[status(esa)],[2060]) ).
thf(2315,plain,
( ( ^ [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
= ( ^ [A: $i] : $true ) ),
inference(rewrite,[status(thm)],[2067,2148]) ).
thf(15552,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[7166,2315]) ).
thf(15553,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[15552]) ).
thf(15554,plain,
~ ( parent_THFTYPE_IiioI @ sk1167 @ sk1168 ),
inference(cnf,[status(esa)],[15553]) ).
thf(15559,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk1167 @ sk1168 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,15554]) ).
thf(15560,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk1167 @ sk1168 ) ),
inference(simp,[status(thm)],[15559]) ).
thf(15563,plain,
! [A: $i] :
( ( sk1167 != lSue_THFTYPE_i )
| ( A != sk1168 ) ),
inference(simp,[status(thm)],[15560]) ).
thf(15564,plain,
sk1167 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[15563]) ).
thf(11,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008) ).
thf(22,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(538,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[22,526]) ).
thf(539,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[538]) ).
thf(557,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[539]) ).
thf(567,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[557]) ).
thf(1152,plain,
( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[567,1108]) ).
thf(1153,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
inference(simp,[status(thm)],[1152]) ).
thf(1541,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
!= ( A @ lBen_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,54]) ).
thf(1542,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
!= ( A @ lBen_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1541]) ).
thf(1557,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[1542:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ))]]) ).
thf(8328,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[1557,2148]) ).
thf(8396,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,8328]) ).
thf(8397,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[8396]) ).
thf(8419,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[8397]) ).
thf(8444,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[8419]) ).
thf(18097,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[8444,2315]) ).
thf(18098,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[18097]) ).
thf(18099,plain,
~ ( parent_THFTYPE_IiioI @ sk1283 @ sk1284 ),
inference(cnf,[status(esa)],[18098]) ).
thf(18102,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk1283 @ sk1284 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,18099]) ).
thf(18103,plain,
( ( parent_THFTYPE_IiioI @ sk1283 @ sk1284 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[18102]) ).
thf(18107,plain,
( ( sk1283 != lMary_THFTYPE_i )
| ( sk1284 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[18103]) ).
thf(542,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[18,526]) ).
thf(543,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[542]) ).
thf(559,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[543]) ).
thf(569,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[559]) ).
thf(1146,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[569,1108]) ).
thf(1147,plain,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[1146]) ).
thf(8,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(19,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(55,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ n2009_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[42:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ D ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )),bind(C,$thf( n2009_THFTYPE_i ))]]) ).
thf(1263,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ n2009_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[16,55]) ).
thf(1264,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ n2009_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1263]) ).
thf(1278,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[1264:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ))]]) ).
thf(1316,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[1278]) ).
thf(2331,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[1316,2148]) ).
thf(2336,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,2331]) ).
thf(2337,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2336]) ).
thf(2342,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2337]) ).
thf(2347,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[2342]) ).
thf(1156,plain,
! [A: $i] :
( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [B: $i] : $true ) ),
inference(func_ext,[status(esa)],[1108]) ).
thf(1959,plain,
! [A: $i] :
( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
= ( ^ [B: $i] : $true ) ),
inference(rewrite,[status(thm)],[1156,1143]) ).
thf(2403,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[2347,1959]) ).
thf(2404,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[2403]) ).
thf(2405,plain,
~ ( likes_THFTYPE_IiioI @ sk31 @ sk32 ),
inference(cnf,[status(esa)],[2404]) ).
thf(2406,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk31 @ sk32 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,2405]) ).
thf(2407,plain,
( ( likes_THFTYPE_IiioI @ sk31 @ sk32 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2406]) ).
thf(2412,plain,
( ( sk31 != lBob_THFTYPE_i )
| ( sk32 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2407]) ).
thf(2052,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,865]) ).
thf(2053,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2052]) ).
thf(2057,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2053]) ).
thf(2062,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[2057]) ).
thf(2492,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[2062,2148]) ).
thf(2498,plain,
! [A: $i] :
( ( ( ( ^ [B: $i,C: $i] : $true )
!= ( ^ [B: $i,C: $i] : $true ) )
!= ( ? [B: $i,C: $i] :
~ ( parent_THFTYPE_IiioI @ B @ C ) ) )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ) ),
inference(paramod_ordered,[status(thm)],[1959,2492]) ).
thf(2499,plain,
! [A: $i] :
( ? [B: $i,C: $i] :
~ ( parent_THFTYPE_IiioI @ B @ C )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ) ),
inference(simp,[status(thm)],[2498]) ).
thf(2500,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(pattern_uni,[status(thm)],[2499:[bind(A,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(2516,plain,
~ ( parent_THFTYPE_IiioI @ sk53 @ sk54 ),
inference(cnf,[status(esa)],[2500]) ).
thf(2539,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk53 @ sk54 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,2516]) ).
thf(2540,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk53 @ sk54 ) ),
inference(simp,[status(thm)],[2539]) ).
thf(2543,plain,
! [A: $i] :
( ( sk53 != lSue_THFTYPE_i )
| ( A != sk54 ) ),
inference(simp,[status(thm)],[2540]) ).
thf(2544,plain,
sk53 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[2543]) ).
thf(2338,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,2331]) ).
thf(2339,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2338]) ).
thf(2343,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2339]) ).
thf(2348,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[2343]) ).
thf(2415,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[2348,1959]) ).
thf(2416,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[2415]) ).
thf(2417,plain,
~ ( parent_THFTYPE_IiioI @ sk33 @ sk34 ),
inference(cnf,[status(esa)],[2416]) ).
thf(2422,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk33 @ sk34 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,2417]) ).
thf(2423,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk33 @ sk34 ) ),
inference(simp,[status(thm)],[2422]) ).
thf(2426,plain,
! [A: $i] :
( ( sk33 != lSue_THFTYPE_i )
| ( A != sk34 ) ),
inference(simp,[status(thm)],[2423]) ).
thf(2427,plain,
sk33 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[2426]) ).
thf(2050,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,865]) ).
thf(2051,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2050]) ).
thf(2056,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2051]) ).
thf(2061,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[2056]) ).
thf(2430,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[2061,2148]) ).
thf(2438,plain,
! [A: $i] :
( ( ( ( ^ [B: $i,C: $i] : $true )
!= ( ^ [B: $i,C: $i] : $true ) )
!= ( ? [B: $i,C: $i] :
~ ( likes_THFTYPE_IiioI @ B @ C ) ) )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ) ),
inference(paramod_ordered,[status(thm)],[1959,2430]) ).
thf(2439,plain,
! [A: $i] :
( ? [B: $i,C: $i] :
~ ( likes_THFTYPE_IiioI @ B @ C )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ) ),
inference(simp,[status(thm)],[2438]) ).
thf(2440,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(pattern_uni,[status(thm)],[2439:[bind(A,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(2459,plain,
~ ( likes_THFTYPE_IiioI @ sk45 @ sk46 ),
inference(cnf,[status(esa)],[2440]) ).
thf(2476,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk45 @ sk46 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,2459]) ).
thf(2477,plain,
( ( likes_THFTYPE_IiioI @ sk45 @ sk46 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2476]) ).
thf(2480,plain,
( ( sk45 != lSue_THFTYPE_i )
| ( sk46 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2477]) ).
thf(2432,plain,
( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(bool_ext,[status(thm)],[2430]) ).
thf(2451,plain,
( ~ ( likes_THFTYPE_IiioI @ sk35 @ sk36 )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(cnf,[status(esa)],[2432]) ).
thf(2452,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk35 @ sk36 ) ),
inference(lifteq,[status(thm)],[2451]) ).
thf(3062,plain,
( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk35 @ sk36 ) ),
inference(rewrite,[status(thm)],[2452,2315]) ).
thf(3063,plain,
~ ( likes_THFTYPE_IiioI @ sk35 @ sk36 ),
inference(simp,[status(thm)],[3062]) ).
thf(3068,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk35 @ sk36 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,3063]) ).
thf(3069,plain,
( ( likes_THFTYPE_IiioI @ sk35 @ sk36 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[3068]) ).
thf(3072,plain,
( ( sk35 != lSue_THFTYPE_i )
| ( sk36 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[3069]) ).
thf(29,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[17,13]) ).
thf(30,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[29]) ).
thf(80,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[30:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ E ) ) )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(2275,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,80]) ).
thf(2276,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2275]) ).
thf(2303,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2276:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(3034,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2303]) ).
thf(3035,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3034]) ).
thf(3054,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3035]) ).
thf(3059,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[3054]) ).
thf(3060,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[3059]) ).
thf(3061,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[3060]) ).
thf(3046,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,2303]) ).
thf(3047,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3046]) ).
thf(3053,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3047]) ).
thf(3058,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3053]) ).
thf(4566,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3061,3058]) ).
thf(4567,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ) ) ),
inference(simp,[status(thm)],[4566]) ).
thf(4568,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[4567:[]]) ).
thf(4620,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk193 @ sk194 ) ),
inference(cnf,[status(esa)],[4568]) ).
thf(4805,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk127 @ sk128 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4370]) ).
thf(4806,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk127 @ sk128 ) ) ),
inference(simp,[status(thm)],[4805]) ).
thf(4815,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
| ( sk127 != lSue_THFTYPE_i )
| ( A != sk128 ) ),
inference(simp,[status(thm)],[4806]) ).
thf(4816,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
| ( sk127 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[4815]) ).
thf(14623,plain,
( ~ ( parent_THFTYPE_IiioI @ sk193 @ sk194 )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ( sk127 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4620,4816]) ).
thf(14624,plain,
( ~ ( parent_THFTYPE_IiioI @ sk193 @ sk194 )
| ( sk127 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[14623]) ).
thf(14625,plain,
( ~ ( parent_THFTYPE_IiioI @ sk193 @ sk194 )
| ( sk127 != lSue_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[14624:[]]) ).
thf(82,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[30:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ D ) ) )),bind(C,$thf( lBill_THFTYPE_i ))]]) ).
thf(2371,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,82]) ).
thf(2372,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2371]) ).
thf(2395,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2372:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ))]]) ).
thf(9,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).
thf(20,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(530,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[20,526]) ).
thf(531,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[530]) ).
thf(562,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[531]) ).
thf(572,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[562]) ).
thf(1150,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[572,1108]) ).
thf(1151,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[1150]) ).
thf(2753,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,1357]) ).
thf(2754,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[2753]) ).
thf(2760,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[2754]) ).
thf(2766,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2760]) ).
thf(4096,plain,
( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(bool_ext,[status(thm)],[2766]) ).
thf(4127,plain,
( ( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) )
& ( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(cnf,[status(esa)],[4096]) ).
thf(4129,plain,
( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(cnfConj,[status(thm)],[4127]) ).
thf(4131,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 ) ),
inference(lifteq,[status(thm)],[4129]) ).
thf(4149,plain,
( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk114 )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 ) ),
inference(func_ext,[status(esa)],[4131]) ).
thf(4177,plain,
( ~ $true
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk114 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,4149]) ).
thf(4178,plain,
( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk114 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4177]) ).
thf(4187,plain,
( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( lMary_THFTYPE_i != lMary_THFTYPE_i )
| ( sk114 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[4178]) ).
thf(4191,plain,
( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( sk114 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[4187]) ).
thf(4386,plain,
( ~ $true
| ( sk114 != lBen_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,4191]) ).
thf(4387,plain,
( ( sk114 != lBen_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4386]) ).
thf(4391,plain,
( ( sk114 != lBen_THFTYPE_i )
| ( sk91 != lMary_THFTYPE_i )
| ( sk92 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[4387]) ).
thf(141,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[20,13]) ).
thf(142,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[141]) ).
thf(152,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[142:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ E ) ) )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(7174,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,152]) ).
thf(7175,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[7174]) ).
thf(7220,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[7175:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(7297,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,7220]) ).
thf(7298,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[7297]) ).
thf(7311,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[7298]) ).
thf(7322,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[7311]) ).
thf(447,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[21,52]) ).
thf(448,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[447]) ).
thf(492,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[448:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ) ))]]) ).
thf(6701,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[492,2148]) ).
thf(6702,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[6701]) ).
thf(6724,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,6702]) ).
thf(6725,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[6724]) ).
thf(6736,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[6725]) ).
thf(6748,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[6736]) ).
thf(6786,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[6748,1959]) ).
thf(6787,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[6786]) ).
thf(6788,plain,
~ ( parent_THFTYPE_IiioI @ sk547 @ sk548 ),
inference(cnf,[status(esa)],[6787]) ).
thf(6791,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk547 @ sk548 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,6788]) ).
thf(6792,plain,
( ( parent_THFTYPE_IiioI @ sk547 @ sk548 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[6791]) ).
thf(6796,plain,
( ( sk547 != lMary_THFTYPE_i )
| ( sk548 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[6792]) ).
thf(223,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[21,76]) ).
thf(224,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[223]) ).
thf(232,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[224:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ) ))]]) ).
thf(3328,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[232,2148]) ).
thf(3340,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,3328]) ).
thf(3341,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3340]) ).
thf(3355,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3341]) ).
thf(3365,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3355]) ).
thf(5251,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[3365,1959]) ).
thf(5252,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[5251]) ).
thf(5253,plain,
~ ( likes_THFTYPE_IiioI @ sk227 @ sk228 ),
inference(cnf,[status(esa)],[5252]) ).
thf(5261,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk227 @ sk228 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,5253]) ).
thf(5262,plain,
( ( likes_THFTYPE_IiioI @ sk227 @ sk228 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[5261]) ).
thf(5265,plain,
( ( sk227 != lSue_THFTYPE_i )
| ( sk228 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[5262]) ).
thf(2365,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,82]) ).
thf(2366,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2365]) ).
thf(2393,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2366:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ))]]) ).
thf(9514,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2393]) ).
thf(9515,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[9514]) ).
thf(9564,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[9515]) ).
thf(9570,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[9564]) ).
thf(9571,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[9570]) ).
thf(9572,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[9571]) ).
thf(7127,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,7057]) ).
thf(7128,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[7127]) ).
thf(7151,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[7128]) ).
thf(7167,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[7151]) ).
thf(15567,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[7167,2315]) ).
thf(15568,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[15567]) ).
thf(15569,plain,
~ ( likes_THFTYPE_IiioI @ sk1169 @ sk1170 ),
inference(cnf,[status(esa)],[15568]) ).
thf(15570,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk1169 @ sk1170 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,15569]) ).
thf(15571,plain,
( ( likes_THFTYPE_IiioI @ sk1169 @ sk1170 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[15570]) ).
thf(15579,plain,
( ( sk1169 != lBob_THFTYPE_i )
| ( sk1170 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[15571]) ).
thf(7255,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,7220]) ).
thf(7256,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[7255]) ).
thf(7314,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[7256]) ).
thf(7325,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[7314]) ).
thf(7326,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[7325]) ).
thf(7327,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[7326]) ).
thf(7358,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
= ( ^ [B: $i] : $true ) ) ),
inference(func_ext,[status(esa)],[7327]) ).
thf(2751,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,1357]) ).
thf(2752,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[2751]) ).
thf(2759,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[2752]) ).
thf(2763,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[2759]) ).
thf(2764,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[2763]) ).
thf(2765,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[2764]) ).
thf(4112,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2765,2766]) ).
thf(4113,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) ) ) ),
inference(simp,[status(thm)],[4112]) ).
thf(4114,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[4113:[]]) ).
thf(4135,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 ) ),
inference(cnf,[status(esa)],[4114]) ).
thf(4472,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4135,2766]) ).
thf(4473,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[4472]) ).
thf(4474,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[4473:[]]) ).
thf(4500,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ~ ( likes_THFTYPE_IiioI @ sk147 @ sk148 ) ),
inference(cnf,[status(esa)],[4474]) ).
thf(6793,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk547 @ sk548 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,6788]) ).
thf(6794,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk547 @ sk548 ) ),
inference(simp,[status(thm)],[6793]) ).
thf(6797,plain,
! [A: $i] :
( ( sk547 != lSue_THFTYPE_i )
| ( A != sk548 ) ),
inference(simp,[status(thm)],[6794]) ).
thf(6798,plain,
sk547 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[6797]) ).
thf(217,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[21,13]) ).
thf(218,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[217]) ).
thf(239,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ n2009_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[218:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ D ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )),bind(C,$thf( n2009_THFTYPE_i ))]]) ).
thf(14662,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ n2009_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ $true ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[239,2148]) ).
thf(68,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[34:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ D ) ) )),bind(B,$thf( B )),bind(C,$thf( lBill_THFTYPE_i ))]]) ).
thf(87,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[68]) ).
thf(2713,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,87]) ).
thf(2714,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2713]) ).
thf(2740,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2714:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ))]]) ).
thf(2707,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,87]) ).
thf(2708,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2707]) ).
thf(2728,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2708:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(10648,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2728]) ).
thf(10649,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[10648]) ).
thf(10712,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[10649]) ).
thf(10724,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[10712]) ).
thf(10725,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[10724]) ).
thf(10726,plain,
( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[10725]) ).
thf(14567,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk193 @ sk194 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4620]) ).
thf(14568,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk193 @ sk194 ) ) ),
inference(simp,[status(thm)],[14567]) ).
thf(14640,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( sk193 != lSue_THFTYPE_i )
| ( A != sk194 ) ),
inference(simp,[status(thm)],[14568]) ).
thf(14650,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( sk193 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[14640]) ).
thf(15205,plain,
( ( sk193 != lSue_THFTYPE_i )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[14650,4370]) ).
thf(15206,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[15205]) ).
thf(15207,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 ) ),
inference(pattern_uni,[status(thm)],[15206:[]]) ).
thf(546,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,526]) ).
thf(547,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[546]) ).
thf(561,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[547]) ).
thf(571,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[561]) ).
thf(923,plain,
( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(bool_ext,[status(thm)],[571]) ).
thf(935,plain,
( ~ ( likes_THFTYPE_IiioI @ sk13 @ sk14 )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(cnf,[status(esa)],[923]) ).
thf(936,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk13 @ sk14 ) ),
inference(lifteq,[status(thm)],[935]) ).
thf(1148,plain,
( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk13 @ sk14 ) ),
inference(rewrite,[status(thm)],[936,1108]) ).
thf(1149,plain,
~ ( likes_THFTYPE_IiioI @ sk13 @ sk14 ),
inference(simp,[status(thm)],[1148]) ).
thf(1493,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk13 @ sk14 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,1149]) ).
thf(1494,plain,
( ( likes_THFTYPE_IiioI @ sk13 @ sk14 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1493]) ).
thf(1497,plain,
( ( sk13 != lBob_THFTYPE_i )
| ( sk14 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1494]) ).
thf(3044,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,2303]) ).
thf(3045,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3044]) ).
thf(3052,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3045]) ).
thf(3057,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3052]) ).
thf(4519,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4135,3057]) ).
thf(4520,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[4519]) ).
thf(4521,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[4520:[]]) ).
thf(4543,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ~ ( likes_THFTYPE_IiioI @ sk153 @ sk154 ) ),
inference(cnf,[status(esa)],[4521]) ).
thf(1339,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ n2009_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,55]) ).
thf(1340,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ n2009_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1339]) ).
thf(1349,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[1340:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(8123,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[1349,2148]) ).
thf(8174,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,8123]) ).
thf(8175,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[8174]) ).
thf(8183,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[8175]) ).
thf(8194,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[8183]) ).
thf(8227,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[8194,1959]) ).
thf(8228,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[8227]) ).
thf(8229,plain,
~ ( likes_THFTYPE_IiioI @ sk699 @ sk700 ),
inference(cnf,[status(esa)],[8228]) ).
thf(8230,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk699 @ sk700 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,8229]) ).
thf(8231,plain,
( ( likes_THFTYPE_IiioI @ sk699 @ sk700 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[8230]) ).
thf(8239,plain,
( ( sk699 != lBob_THFTYPE_i )
| ( sk700 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[8231]) ).
thf(107,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[14,76]) ).
thf(108,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[107]) ).
thf(130,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[108:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) ))]]) ).
thf(295,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,130]) ).
thf(296,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[295]) ).
thf(298,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[296]) ).
thf(301,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[298]) ).
thf(4171,plain,
( ~ $true
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk114 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,4149]) ).
thf(4172,plain,
( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk114 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4171]) ).
thf(4183,plain,
( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( lMary_THFTYPE_i != lMary_THFTYPE_i )
| ( sk114 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[4172]) ).
thf(4189,plain,
( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( sk114 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[4183]) ).
thf(4243,plain,
( ~ $true
| ( sk114 != lAnna_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,4189]) ).
thf(4244,plain,
( ( sk114 != lAnna_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4243]) ).
thf(4249,plain,
( ( sk114 != lAnna_THFTYPE_i )
| ( sk91 != lBob_THFTYPE_i )
| ( sk92 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[4244]) ).
thf(2495,plain,
! [A: $i] :
( ( ( ( ^ [B: $i,C: $i] : $true )
!= ( ^ [B: $i,C: $i] : $true ) )
!= ( ? [B: $i,C: $i] :
~ ( parent_THFTYPE_IiioI @ B @ C ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2492]) ).
thf(2496,plain,
! [A: $i] :
( ? [B: $i,C: $i] :
~ ( parent_THFTYPE_IiioI @ B @ C )
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(simp,[status(thm)],[2495]) ).
thf(2497,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(pattern_uni,[status(thm)],[2496:[bind(A,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(2515,plain,
~ ( parent_THFTYPE_IiioI @ sk51 @ sk52 ),
inference(cnf,[status(esa)],[2497]) ).
thf(2525,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk51 @ sk52 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,2515]) ).
thf(2526,plain,
( ( parent_THFTYPE_IiioI @ sk51 @ sk52 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[2525]) ).
thf(2531,plain,
( ( sk51 != lMary_THFTYPE_i )
| ( sk52 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[2526]) ).
thf(27,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& $true
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[14,13]) ).
thf(28,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[27]) ).
thf(61,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[28:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ E ) ) )),bind(B,$thf( B )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(104,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[61]) ).
thf(3576,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,104]) ).
thf(3577,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[3576]) ).
thf(3601,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[3577:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) ))]]) ).
thf(3623,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,3601]) ).
thf(3624,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3623]) ).
thf(3638,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3624]) ).
thf(3643,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[3638]) ).
thf(3644,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[3643]) ).
thf(3645,plain,
( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[3644]) ).
thf(3704,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i )
= ( ^ [B: $i] : $true ) )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) ) ),
inference(func_ext,[status(esa)],[3645]) ).
thf(3820,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i )
= ( ^ [B: $i] : $true ) )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) ) ),
inference(simp,[status(thm)],[3704]) ).
thf(2494,plain,
( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(bool_ext,[status(thm)],[2492]) ).
thf(2520,plain,
( ~ ( parent_THFTYPE_IiioI @ sk57 @ sk58 )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(cnf,[status(esa)],[2494]) ).
thf(2521,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk57 @ sk58 ) ),
inference(lifteq,[status(thm)],[2520]) ).
thf(3255,plain,
( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk57 @ sk58 ) ),
inference(rewrite,[status(thm)],[2521,2315]) ).
thf(3256,plain,
~ ( parent_THFTYPE_IiioI @ sk57 @ sk58 ),
inference(simp,[status(thm)],[3255]) ).
thf(3257,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk57 @ sk58 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,3256]) ).
thf(3258,plain,
( ( parent_THFTYPE_IiioI @ sk57 @ sk58 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[3257]) ).
thf(3263,plain,
( ( sk57 != lMary_THFTYPE_i )
| ( sk58 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[3258]) ).
thf(4508,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[3061,3057]) ).
thf(4509,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ) ) ),
inference(simp,[status(thm)],[4508]) ).
thf(4510,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[4509:[]]) ).
thf(4563,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk171 @ sk172 ) ),
inference(cnf,[status(esa)],[4510]) ).
thf(4341,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[2765,2767]) ).
thf(4342,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) ) ) ),
inference(simp,[status(thm)],[4341]) ).
thf(4343,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[4342:[]]) ).
thf(4374,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk135 @ sk136 ) ),
inference(cnf,[status(esa)],[4343]) ).
thf(4899,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk135 @ sk136 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4374]) ).
thf(4900,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk135 @ sk136 ) ) ),
inference(simp,[status(thm)],[4899]) ).
thf(4925,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( sk135 != lSue_THFTYPE_i )
| ( A != sk136 ) ),
inference(simp,[status(thm)],[4900]) ).
thf(4932,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( sk135 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[4925]) ).
thf(7299,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,7220]) ).
thf(7300,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[7299]) ).
thf(7308,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[7300]) ).
thf(7319,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[7308]) ).
thf(7803,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4932,7319]) ).
thf(7804,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[7803]) ).
thf(7805,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[7804:[]]) ).
thf(7860,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk637 @ sk638 ) ),
inference(cnf,[status(esa)],[7805]) ).
thf(8220,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk637 @ sk638 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,7860]) ).
thf(8221,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk637 @ sk638 ) ) ),
inference(simp,[status(thm)],[8220]) ).
thf(8224,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( sk637 != lSue_THFTYPE_i )
| ( A != sk638 ) ),
inference(simp,[status(thm)],[8221]) ).
thf(8225,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( sk637 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[8224]) ).
thf(8176,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,8123]) ).
thf(8177,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[8176]) ).
thf(8181,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[8177]) ).
thf(8193,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ A ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[8181]) ).
thf(8199,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[8193,1959]) ).
thf(8200,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[8199]) ).
thf(8201,plain,
~ ( parent_THFTYPE_IiioI @ sk697 @ sk698 ),
inference(cnf,[status(esa)],[8200]) ).
thf(8202,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk697 @ sk698 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,8201]) ).
thf(8203,plain,
( ( parent_THFTYPE_IiioI @ sk697 @ sk698 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[8202]) ).
thf(8208,plain,
( ( sk697 != lMary_THFTYPE_i )
| ( sk698 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[8203]) ).
thf(2441,plain,
( ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ) ),
inference(paramod_ordered,[status(thm)],[2315,2430]) ).
thf(2442,plain,
( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ) ),
inference(simp,[status(thm)],[2441]) ).
thf(2443,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(pattern_uni,[status(thm)],[2442:[]]) ).
thf(2460,plain,
~ ( likes_THFTYPE_IiioI @ sk47 @ sk48 ),
inference(cnf,[status(esa)],[2443]) ).
thf(2483,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk47 @ sk48 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,2460]) ).
thf(2484,plain,
( ( likes_THFTYPE_IiioI @ sk47 @ sk48 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2483]) ).
thf(2488,plain,
( ( sk47 != lMary_THFTYPE_i )
| ( sk48 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2484]) ).
thf(145,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& $true
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[20,13]) ).
thf(146,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[145]) ).
thf(161,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[146:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ D ) ) )),bind(B,$thf( B )),bind(C,$thf( lBill_THFTYPE_i ))]]) ).
thf(164,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[161]) ).
thf(8254,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,164]) ).
thf(8255,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[8254]) ).
thf(8310,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[8255:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ))]]) ).
thf(6722,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,6702]) ).
thf(6723,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[6722]) ).
thf(6730,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[6723]) ).
thf(6740,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[6730]) ).
thf(6769,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[6740,1959]) ).
thf(6770,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[6769]) ).
thf(6771,plain,
~ ( likes_THFTYPE_IiioI @ sk545 @ sk546 ),
inference(cnf,[status(esa)],[6770]) ).
thf(6772,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk545 @ sk546 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,6771]) ).
thf(6773,plain,
( ( likes_THFTYPE_IiioI @ sk545 @ sk546 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[6772]) ).
thf(6781,plain,
( ( sk545 != lBob_THFTYPE_i )
| ( sk546 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[6773]) ).
thf(78,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[36:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ D ) ) )),bind(C,$thf( lBill_THFTYPE_i ))]]) ).
thf(2011,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,78]) ).
thf(2012,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2011]) ).
thf(2033,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2012:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(9163,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2033]) ).
thf(9164,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[9163]) ).
thf(9231,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[9164]) ).
thf(9238,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[9231]) ).
thf(9239,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[9238]) ).
thf(9240,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[9239]) ).
thf(2013,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,78]) ).
thf(2014,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2013]) ).
thf(2024,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2014:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ))]]) ).
thf(4384,plain,
( ~ $true
| ( sk114 != lBen_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,4191]) ).
thf(4385,plain,
( ( sk114 != lBen_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4384]) ).
thf(4390,plain,
( ( sk114 != lBen_THFTYPE_i )
| ( sk91 != lBob_THFTYPE_i )
| ( sk92 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[4385]) ).
thf(63,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[28:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ D ) ) )),bind(B,$thf( B )),bind(C,$thf( lAnna_THFTYPE_i ))]]) ).
thf(106,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lAnna_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[63]) ).
thf(4283,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lAnna_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,106]) ).
thf(4284,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lAnna_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4283]) ).
thf(4302,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[4284:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) ))]]) ).
thf(154,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[142:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ D ) ) )),bind(C,$thf( lBill_THFTYPE_i ))]]) ).
thf(7715,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,154]) ).
thf(7716,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[7715]) ).
thf(7733,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[7716:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ))]]) ).
thf(2501,plain,
( ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ) ),
inference(paramod_ordered,[status(thm)],[2315,2492]) ).
thf(2502,plain,
( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ) ),
inference(simp,[status(thm)],[2501]) ).
thf(2503,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(pattern_uni,[status(thm)],[2502:[]]) ).
thf(2517,plain,
~ ( parent_THFTYPE_IiioI @ sk55 @ sk56 ),
inference(cnf,[status(esa)],[2503]) ).
thf(2547,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk55 @ sk56 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,2517]) ).
thf(2548,plain,
( ( parent_THFTYPE_IiioI @ sk55 @ sk56 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[2547]) ).
thf(2552,plain,
( ( sk55 != lMary_THFTYPE_i )
| ( sk56 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[2548]) ).
thf(4565,plain,
( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(bool_ext,[status(thm)],[3058]) ).
thf(4611,plain,
( ( ~ ( parent_THFTYPE_IiioI @ sk187 @ sk188 )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) )
& ( ~ ( parent_THFTYPE_IiioI @ sk187 @ sk188 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(cnf,[status(esa)],[4565]) ).
thf(4613,plain,
( ~ ( parent_THFTYPE_IiioI @ sk187 @ sk188 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(cnfConj,[status(thm)],[4611]) ).
thf(4615,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk187 @ sk188 ) ),
inference(lifteq,[status(thm)],[4613]) ).
thf(10765,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk187 @ sk188 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4615]) ).
thf(10766,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk187 @ sk188 ) ) ),
inference(simp,[status(thm)],[10765]) ).
thf(10785,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
| ( sk187 != lSue_THFTYPE_i )
| ( A != sk188 ) ),
inference(simp,[status(thm)],[10766]) ).
thf(10788,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
| ( sk187 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[10785]) ).
thf(11319,plain,
( ~ ( likes_THFTYPE_IiioI @ sk171 @ sk172 )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ( sk187 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4563,10788]) ).
thf(11320,plain,
( ~ ( likes_THFTYPE_IiioI @ sk171 @ sk172 )
| ( sk187 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[11319]) ).
thf(11321,plain,
( ~ ( likes_THFTYPE_IiioI @ sk171 @ sk172 )
| ( sk187 != lSue_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[11320:[]]) ).
thf(209,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,130]) ).
thf(210,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[209]) ).
thf(213,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[210]) ).
thf(216,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[213]) ).
thf(5256,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk227 @ sk228 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,5253]) ).
thf(5257,plain,
( ( likes_THFTYPE_IiioI @ sk227 @ sk228 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[5256]) ).
thf(5264,plain,
( ( sk227 != lMary_THFTYPE_i )
| ( sk228 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[5257]) ).
thf(1999,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,78]) ).
thf(2000,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1999]) ).
thf(2027,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2000:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ))]]) ).
thf(4179,plain,
! [A: $i] :
( ~ $true
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk114 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4149]) ).
thf(4180,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk114 ) ) ),
inference(simp,[status(thm)],[4179]) ).
thf(4184,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( A != sk114 ) ),
inference(simp,[status(thm)],[4180]) ).
thf(4190,plain,
( ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( lSue_THFTYPE_i != lMary_THFTYPE_i ) ),
inference(simp,[status(thm)],[4184]) ).
thf(4252,plain,
( ~ $true
| ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,4190]) ).
thf(4253,plain,
( ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4252]) ).
thf(4258,plain,
( ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( sk91 != lBob_THFTYPE_i )
| ( sk92 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[4253]) ).
thf(2435,plain,
! [A: $i] :
( ( ( ( ^ [B: $i,C: $i] : $true )
!= ( ^ [B: $i,C: $i] : $true ) )
!= ( ? [B: $i,C: $i] :
~ ( likes_THFTYPE_IiioI @ B @ C ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2430]) ).
thf(2436,plain,
! [A: $i] :
( ? [B: $i,C: $i] :
~ ( likes_THFTYPE_IiioI @ B @ C )
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(simp,[status(thm)],[2435]) ).
thf(2437,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(pattern_uni,[status(thm)],[2436:[bind(A,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(2458,plain,
~ ( likes_THFTYPE_IiioI @ sk43 @ sk44 ),
inference(cnf,[status(esa)],[2437]) ).
thf(2463,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk43 @ sk44 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,2458]) ).
thf(2464,plain,
( ( likes_THFTYPE_IiioI @ sk43 @ sk44 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2463]) ).
thf(2469,plain,
( ( sk43 != lBob_THFTYPE_i )
| ( sk44 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2464]) ).
thf(12603,plain,
( ~ $true
| ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,12597]) ).
thf(12604,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[12603]) ).
thf(12608,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( lMary_THFTYPE_i != lMary_THFTYPE_i )
| ( sk202 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[12604]) ).
thf(12610,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( sk202 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[12608]) ).
thf(1661,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[19,1139]) ).
thf(1662,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[1661]) ).
thf(1665,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(simp,[status(thm)],[1662]) ).
thf(1667,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( likes_THFTYPE_IiioI @ sk27 @ sk28 ) ),
inference(cnf,[status(esa)],[1665]) ).
thf(1668,plain,
~ ( likes_THFTYPE_IiioI @ sk27 @ sk28 ),
inference(simp,[status(thm)],[1667]) ).
thf(1671,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk27 @ sk28 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,1668]) ).
thf(1672,plain,
( ( likes_THFTYPE_IiioI @ sk27 @ sk28 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1671]) ).
thf(1677,plain,
( ( sk27 != lBob_THFTYPE_i )
| ( sk28 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1672]) ).
thf(66,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[34:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )),bind(B,$thf( B )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(85,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[66]) ).
thf(2555,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[85,1141]) ).
thf(4454,plain,
( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
= ( ^ [A: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 ) ),
inference(func_ext,[status(esa)],[4135]) ).
thf(4577,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4135,3058]) ).
thf(4578,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[4577]) ).
thf(4579,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[4578:[]]) ).
thf(4600,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ~ ( parent_THFTYPE_IiioI @ sk175 @ sk176 ) ),
inference(cnf,[status(esa)],[4579]) ).
thf(3586,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,104]) ).
thf(3587,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[3586]) ).
thf(3607,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[3587:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) ))]]) ).
thf(3648,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,3607]) ).
thf(3649,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3648]) ).
thf(3661,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3649]) ).
thf(3668,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[3661]) ).
thf(3669,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[3668]) ).
thf(3670,plain,
( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[3669]) ).
thf(908,plain,
( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(bool_ext,[status(thm)],[568]) ).
thf(920,plain,
( ~ ( parent_THFTYPE_IiioI @ sk9 @ sk10 )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(cnf,[status(esa)],[908]) ).
thf(921,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk9 @ sk10 ) ),
inference(lifteq,[status(thm)],[920]) ).
thf(1130,plain,
( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk9 @ sk10 ) ),
inference(rewrite,[status(thm)],[921,1108]) ).
thf(1131,plain,
~ ( parent_THFTYPE_IiioI @ sk9 @ sk10 ),
inference(simp,[status(thm)],[1130]) ).
thf(2231,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk9 @ sk10 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,1131]) ).
thf(2232,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk9 @ sk10 ) ),
inference(simp,[status(thm)],[2231]) ).
thf(2248,plain,
! [A: $i] :
( ( sk9 != lSue_THFTYPE_i )
| ( A != sk10 ) ),
inference(simp,[status(thm)],[2232]) ).
thf(2259,plain,
sk9 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[2248]) ).
thf(15179,plain,
( ( sk193 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[14650,2767]) ).
thf(15180,plain,
( ( sk193 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[15179]) ).
thf(15181,plain,
( ( sk193 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[15180:[]]) ).
thf(15307,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk1155 @ sk1156 ) ),
inference(cnf,[status(esa)],[15181]) ).
thf(17337,plain,
! [A: $i] :
( ( sk193 != lSue_THFTYPE_i )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk1155 @ sk1156 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,15307]) ).
thf(17338,plain,
! [A: $i] :
( ( sk193 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk1155 @ sk1156 ) ) ),
inference(simp,[status(thm)],[17337]) ).
thf(17341,plain,
! [A: $i] :
( ( sk193 != lSue_THFTYPE_i )
| ( sk1155 != lSue_THFTYPE_i )
| ( A != sk1156 ) ),
inference(simp,[status(thm)],[17338]) ).
thf(17342,plain,
( ( sk193 != lSue_THFTYPE_i )
| ( sk1155 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[17341]) ).
thf(39,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& $true
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[18,13]) ).
thf(40,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[39]) ).
thf(72,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[40:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ D ) ) )),bind(B,$thf( B )),bind(C,$thf( lBill_THFTYPE_i ))]]) ).
thf(91,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[72]) ).
thf(2930,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,91]) ).
thf(2931,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2930]) ).
thf(2964,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2931:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ))]]) ).
thf(5704,plain,
( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
= ( ^ [A: $i] : $true ) )
| ( sk135 != lSue_THFTYPE_i ) ),
inference(func_ext,[status(esa)],[4932]) ).
thf(6553,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[5704,2766]) ).
thf(6554,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[6553]) ).
thf(6555,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[6554:[]]) ).
thf(6591,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk503 @ sk504 ) ),
inference(cnf,[status(esa)],[6555]) ).
thf(8276,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,164]) ).
thf(8277,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[8276]) ).
thf(8306,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[8277:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) ))]]) ).
thf(2965,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2931:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) ))]]) ).
thf(1132,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[571,1108]) ).
thf(1133,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[1132]) ).
thf(1209,plain,
~ ( likes_THFTYPE_IiioI @ sk23 @ sk24 ),
inference(cnf,[status(esa)],[1133]) ).
thf(1517,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk23 @ sk24 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,1209]) ).
thf(1518,plain,
( ( likes_THFTYPE_IiioI @ sk23 @ sk24 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1517]) ).
thf(1521,plain,
( ( sk23 != lMary_THFTYPE_i )
| ( sk24 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1518]) ).
thf(207,plain,
! [A: $i > $i > $o] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [B: $i,C: $i] :
~ ( parent_THFTYPE_IiioI @ B @ C ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,76]) ).
thf(208,plain,
! [A: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [B: $i,C: $i] :
~ ( parent_THFTYPE_IiioI @ B @ C ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[207]) ).
thf(212,plain,
! [A: $i > $i > $o] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [B: $i,C: $i] :
~ ( parent_THFTYPE_IiioI @ B @ C ) )
!= ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[208]) ).
thf(215,plain,
! [A: $i > $i > $o] :
( ( ? [B: $i,C: $i] :
~ ( parent_THFTYPE_IiioI @ B @ C ) )
!= ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[212]) ).
thf(11368,plain,
! [A: $i > $i > $o] :
( ? [B: $i,C: $i] :
~ ( parent_THFTYPE_IiioI @ B @ C )
| ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(bool_ext,[status(thm)],[215]) ).
thf(11455,plain,
! [A: $i > $i > $o] :
( ( ~ ( parent_THFTYPE_IiioI @ ( sk883 @ A ) @ ( sk884 @ A ) )
| ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) )
& ( ~ ( parent_THFTYPE_IiioI @ ( sk883 @ A ) @ ( sk884 @ A ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) )
& ( ~ ( parent_THFTYPE_IiioI @ ( sk883 @ A ) @ ( sk884 @ A ) )
| ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(cnf,[status(esa)],[11368]) ).
thf(11458,plain,
! [A: $i > $i > $o] :
( ~ ( parent_THFTYPE_IiioI @ ( sk883 @ A ) @ ( sk884 @ A ) )
| ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnfConj,[status(thm)],[11455]) ).
thf(11460,plain,
! [A: $i > $i > $o] :
( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ ( sk883 @ A ) @ ( sk884 @ A ) ) ),
inference(lifteq,[status(thm)],[11458]) ).
thf(11461,plain,
~ ( parent_THFTYPE_IiioI
@ ( sk883
@ ^ [A: $i,B: $i] : $true )
@ ( sk884
@ ^ [A: $i,B: $i] : $true ) ),
inference(simp,[status(thm)],[11460]) ).
thf(11473,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI
@ ( sk883
@ ^ [B: $i,C: $i] : $true )
@ ( sk884
@ ^ [B: $i,C: $i] : $true ) ) ) ),
inference(paramod_ordered,[status(thm)],[2148,11461]) ).
thf(11474,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI
@ ( sk883
@ ^ [B: $i,C: $i] : $true )
@ ( sk884
@ ^ [B: $i,C: $i] : $true ) ) ),
inference(simp,[status(thm)],[11473]) ).
thf(11477,plain,
! [A: $i] :
( ( ( sk883
@ ^ [B: $i,C: $i] : $true )
!= lSue_THFTYPE_i )
| ( A
!= ( sk884
@ ^ [B: $i,C: $i] : $true ) ) ),
inference(simp,[status(thm)],[11474]) ).
thf(11478,plain,
( ( sk883
@ ^ [A: $i,B: $i] : $true )
!= lSue_THFTYPE_i ),
inference(simp,[status(thm)],[11477]) ).
thf(485,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[14,52]) ).
thf(486,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[485]) ).
thf(516,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[486:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) ))]]) ).
thf(6943,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[516,2148]) ).
thf(6984,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,6943]) ).
thf(6985,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[6984]) ).
thf(7000,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[6985]) ).
thf(7017,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[7000]) ).
thf(7024,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[7017,1959]) ).
thf(7025,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[7024]) ).
thf(7026,plain,
~ ( parent_THFTYPE_IiioI @ sk557 @ sk558 ),
inference(cnf,[status(esa)],[7025]) ).
thf(7031,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk557 @ sk558 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,7026]) ).
thf(7032,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk557 @ sk558 ) ),
inference(simp,[status(thm)],[7031]) ).
thf(7035,plain,
! [A: $i] :
( ( sk557 != lSue_THFTYPE_i )
| ( A != sk558 ) ),
inference(simp,[status(thm)],[7032]) ).
thf(7036,plain,
sk557 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[7035]) ).
thf(132,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[108:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) ))]]) ).
thf(2418,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk33 @ sk34 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,2417]) ).
thf(2419,plain,
( ( parent_THFTYPE_IiioI @ sk33 @ sk34 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[2418]) ).
thf(2424,plain,
( ( sk33 != lMary_THFTYPE_i )
| ( sk34 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[2419]) ).
thf(2932,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,91]) ).
thf(2933,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2932]) ).
thf(2954,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2933:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ))]]) ).
thf(14596,plain,
( ~ ( parent_THFTYPE_IiioI @ sk193 @ sk194 )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ( sk187 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4620,10788]) ).
thf(14597,plain,
( ~ ( parent_THFTYPE_IiioI @ sk193 @ sk194 )
| ( sk187 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[14596]) ).
thf(14598,plain,
( ~ ( parent_THFTYPE_IiioI @ sk193 @ sk194 )
| ( sk187 != lSue_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[14597:[]]) ).
thf(14656,plain,
! [A: $i] :
( ~ $true
| ( sk187 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk193 @ sk194 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,14598]) ).
thf(14657,plain,
! [A: $i] :
( ( sk187 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk193 @ sk194 ) ) ),
inference(simp,[status(thm)],[14656]) ).
thf(14660,plain,
! [A: $i] :
( ( sk187 != lSue_THFTYPE_i )
| ( sk193 != lSue_THFTYPE_i )
| ( A != sk194 ) ),
inference(simp,[status(thm)],[14657]) ).
thf(14661,plain,
( ( sk187 != lSue_THFTYPE_i )
| ( sk193 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[14660]) ).
thf(6574,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[5704,3058]) ).
thf(6575,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[6574]) ).
thf(6576,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[6575:[]]) ).
thf(6589,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk499 @ sk500 ) ),
inference(cnf,[status(esa)],[6576]) ).
thf(6755,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk499 @ sk500 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,6589]) ).
thf(6756,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk499 @ sk500 ) ) ),
inference(simp,[status(thm)],[6755]) ).
thf(6759,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( sk499 != lSue_THFTYPE_i )
| ( A != sk500 ) ),
inference(simp,[status(thm)],[6756]) ).
thf(6760,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( sk499 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[6759]) ).
thf(79,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[30:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(2164,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[79,1141]) ).
thf(23,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[14,13]) ).
thf(24,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[23]) ).
thf(58,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lAnna_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[24:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ D ) ) )),bind(C,$thf( lAnna_THFTYPE_i ))]]) ).
thf(1742,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lAnna_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,58]) ).
thf(1743,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lAnna_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1742]) ).
thf(1784,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[1743:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(8559,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,1784]) ).
thf(8560,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[8559]) ).
thf(8623,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[8560]) ).
thf(8628,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[8623]) ).
thf(8629,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[8628]) ).
thf(8630,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[8629]) ).
thf(2773,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
= ( ^ [B: $i] : $true ) ) ),
inference(func_ext,[status(esa)],[2765]) ).
thf(7695,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,154]) ).
thf(7696,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[7695]) ).
thf(7735,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[7696:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ))]]) ).
thf(7896,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4932,7322]) ).
thf(7897,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[7896]) ).
thf(7898,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[7897:[]]) ).
thf(7952,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk675 @ sk676 ) ),
inference(cnf,[status(esa)],[7898]) ).
thf(1783,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[1743:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ))]]) ).
thf(2705,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,87]) ).
thf(2706,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2705]) ).
thf(2733,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2706:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ))]]) ).
thf(2535,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk53 @ sk54 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,2516]) ).
thf(2536,plain,
( ( parent_THFTYPE_IiioI @ sk53 @ sk54 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[2535]) ).
thf(2541,plain,
( ( sk53 != lMary_THFTYPE_i )
| ( sk54 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[2536]) ).
thf(2410,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk31 @ sk32 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,2405]) ).
thf(2411,plain,
( ( likes_THFTYPE_IiioI @ sk31 @ sk32 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2410]) ).
thf(2414,plain,
( ( sk31 != lSue_THFTYPE_i )
| ( sk32 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2411]) ).
thf(2734,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2706:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) ))]]) ).
thf(10997,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2734]) ).
thf(10998,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[10997]) ).
thf(11061,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[10998]) ).
thf(11072,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[11061]) ).
thf(11073,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[11072]) ).
thf(11074,plain,
( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[11073]) ).
thf(6982,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,6943]) ).
thf(6983,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[6982]) ).
thf(7002,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[6983]) ).
thf(7019,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[7002]) ).
thf(7040,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[7019,1959]) ).
thf(7041,plain,
? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[7040]) ).
thf(7042,plain,
~ ( likes_THFTYPE_IiioI @ sk559 @ sk560 ),
inference(cnf,[status(esa)],[7041]) ).
thf(8206,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk697 @ sk698 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,8201]) ).
thf(8207,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk697 @ sk698 ) ),
inference(simp,[status(thm)],[8206]) ).
thf(8210,plain,
! [A: $i] :
( ( sk697 != lSue_THFTYPE_i )
| ( A != sk698 ) ),
inference(simp,[status(thm)],[8207]) ).
thf(8211,plain,
sk697 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[8210]) ).
thf(11337,plain,
( ~ ( parent_THFTYPE_IiioI @ sk135 @ sk136 )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ( sk187 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4374,10788]) ).
thf(11338,plain,
( ~ ( parent_THFTYPE_IiioI @ sk135 @ sk136 )
| ( sk187 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[11337]) ).
thf(11339,plain,
( ~ ( parent_THFTYPE_IiioI @ sk135 @ sk136 )
| ( sk187 != lSue_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[11338:[]]) ).
thf(3822,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i )
= ( ^ [B: $i] : $true ) )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) ) ),
inference(func_ext,[status(esa)],[3670]) ).
thf(3948,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i )
= ( ^ [B: $i] : $true ) )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) ) ),
inference(simp,[status(thm)],[3822]) ).
thf(238,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lAnna_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[218:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ D ) ) )),bind(C,$thf( lAnna_THFTYPE_i ))]]) ).
thf(13612,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lAnna_THFTYPE_i @ lAnna_THFTYPE_i )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[238,2148]) ).
thf(2741,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2714:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) ))]]) ).
thf(3654,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,3607]) ).
thf(3655,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3654]) ).
thf(3665,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3655]) ).
thf(3667,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3665]) ).
thf(5712,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4932,2767]) ).
thf(5713,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[5712]) ).
thf(5714,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[5713:[]]) ).
thf(5764,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk255 @ sk256 ) ),
inference(cnf,[status(esa)],[5714]) ).
thf(6262,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk255 @ sk256 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,5764]) ).
thf(6263,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk255 @ sk256 ) ) ),
inference(simp,[status(thm)],[6262]) ).
thf(6266,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( sk255 != lSue_THFTYPE_i )
| ( A != sk256 ) ),
inference(simp,[status(thm)],[6263]) ).
thf(6267,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( sk255 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[6266]) ).
thf(15277,plain,
( ( sk193 != lSue_THFTYPE_i )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk187 @ sk188 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[14650,4615]) ).
thf(15278,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk187 @ sk188 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[15277]) ).
thf(15279,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk187 @ sk188 ) ),
inference(pattern_uni,[status(thm)],[15278:[]]) ).
thf(10118,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk175 @ sk176 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4600]) ).
thf(10119,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk175 @ sk176 ) ) ),
inference(simp,[status(thm)],[10118]) ).
thf(10129,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( sk175 != lSue_THFTYPE_i )
| ( A != sk176 ) ),
inference(simp,[status(thm)],[10119]) ).
thf(10131,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( sk175 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[10129]) ).
thf(6789,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk547 @ sk548 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,6788]) ).
thf(6790,plain,
( ( parent_THFTYPE_IiioI @ sk547 @ sk548 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[6789]) ).
thf(6795,plain,
( ( sk547 != lMary_THFTYPE_i )
| ( sk548 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[6790]) ).
thf(15156,plain,
( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
= ( ^ [A: $i] : $true ) )
| ( sk193 != lSue_THFTYPE_i ) ),
inference(func_ext,[status(esa)],[14650]) ).
thf(4817,plain,
( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk204 )
| ( sk127 != lSue_THFTYPE_i ) ),
inference(func_ext,[status(esa)],[4816]) ).
thf(119,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[16,76]) ).
thf(120,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[119]) ).
thf(124,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[120:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ))]]) ).
thf(4693,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[124,2148]) ).
thf(4837,plain,
( ~ $true
| ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk204 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,4817]) ).
thf(4838,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk204 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4837]) ).
thf(4842,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( lMary_THFTYPE_i != lMary_THFTYPE_i )
| ( sk204 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[4838]) ).
thf(4845,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( sk204 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[4842]) ).
thf(3342,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,3328]) ).
thf(3343,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3342]) ).
thf(3351,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3343]) ).
thf(3359,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3351]) ).
thf(4941,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[3359,1959]) ).
thf(4942,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[4941]) ).
thf(4943,plain,
~ ( parent_THFTYPE_IiioI @ sk213 @ sk214 ),
inference(cnf,[status(esa)],[4942]) ).
thf(4946,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk213 @ sk214 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,4943]) ).
thf(4947,plain,
( ( parent_THFTYPE_IiioI @ sk213 @ sk214 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[4946]) ).
thf(4951,plain,
( ( sk213 != lMary_THFTYPE_i )
| ( sk214 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[4947]) ).
thf(1330,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk9 @ sk10 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,1131]) ).
thf(1331,plain,
( ( parent_THFTYPE_IiioI @ sk9 @ sk10 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[1330]) ).
thf(1361,plain,
( ( sk9 != lMary_THFTYPE_i )
| ( sk10 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[1331]) ).
thf(4507,plain,
( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(bool_ext,[status(thm)],[3057]) ).
thf(4554,plain,
( ( ~ ( likes_THFTYPE_IiioI @ sk165 @ sk166 )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) )
& ( ~ ( likes_THFTYPE_IiioI @ sk165 @ sk166 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(cnf,[status(esa)],[4507]) ).
thf(4556,plain,
( ~ ( likes_THFTYPE_IiioI @ sk165 @ sk166 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(cnfConj,[status(thm)],[4554]) ).
thf(4558,plain,
( ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk165 @ sk166 ) ),
inference(lifteq,[status(thm)],[4556]) ).
thf(9607,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk165 @ sk166 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4932,4558]) ).
thf(9608,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk165 @ sk166 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[9607]) ).
thf(9609,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk165 @ sk166 ) ),
inference(pattern_uni,[status(thm)],[9608:[]]) ).
thf(2545,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk55 @ sk56 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,2517]) ).
thf(2546,plain,
( ( parent_THFTYPE_IiioI @ sk55 @ sk56 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[2545]) ).
thf(2551,plain,
( ( sk55 != lMary_THFTYPE_i )
| ( sk56 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[2546]) ).
thf(12576,plain,
( ~ $true
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,4791]) ).
thf(12577,plain,
( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[12576]) ).
thf(12591,plain,
( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( lMary_THFTYPE_i != lMary_THFTYPE_i )
| ( sk202 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[12577]) ).
thf(12600,plain,
( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( sk202 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[12591]) ).
thf(7050,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk559 @ sk560 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,7042]) ).
thf(7051,plain,
( ( likes_THFTYPE_IiioI @ sk559 @ sk560 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[7050]) ).
thf(7054,plain,
( ( sk559 != lSue_THFTYPE_i )
| ( sk560 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[7051]) ).
thf(11315,plain,
( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk864 )
| ( sk187 != lSue_THFTYPE_i ) ),
inference(func_ext,[status(esa)],[10788]) ).
thf(11355,plain,
( ~ $true
| ( sk187 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk864 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,11315]) ).
thf(11356,plain,
( ( sk187 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk864 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[11355]) ).
thf(11361,plain,
( ( sk187 != lSue_THFTYPE_i )
| ( lMary_THFTYPE_i != lMary_THFTYPE_i )
| ( sk864 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[11356]) ).
thf(11364,plain,
( ( sk187 != lSue_THFTYPE_i )
| ( sk864 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[11361]) ).
thf(5254,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk227 @ sk228 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,5253]) ).
thf(5255,plain,
( ( likes_THFTYPE_IiioI @ sk227 @ sk228 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[5254]) ).
thf(5263,plain,
( ( sk227 != lBob_THFTYPE_i )
| ( sk228 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[5255]) ).
thf(4802,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4135,4370]) ).
thf(4803,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[4802]) ).
thf(4804,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 ) ),
inference(pattern_uni,[status(thm)],[4803:[]]) ).
thf(4839,plain,
! [A: $i] :
( ~ $true
| ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk204 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4817]) ).
thf(4840,plain,
! [A: $i] :
( ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk204 ) ) ),
inference(simp,[status(thm)],[4839]) ).
thf(4843,plain,
! [A: $i] :
( ( sk127 != lSue_THFTYPE_i )
| ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( A != sk204 ) ),
inference(simp,[status(thm)],[4840]) ).
thf(4846,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( lSue_THFTYPE_i != lMary_THFTYPE_i ) ),
inference(simp,[status(thm)],[4843]) ).
thf(2481,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk47 @ sk48 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,2460]) ).
thf(2482,plain,
( ( likes_THFTYPE_IiioI @ sk47 @ sk48 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2481]) ).
thf(2487,plain,
( ( sk47 != lBob_THFTYPE_i )
| ( sk48 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2482]) ).
thf(4254,plain,
( ~ $true
| ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,4190]) ).
thf(4255,plain,
( ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4254]) ).
thf(4259,plain,
( ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( sk91 != lMary_THFTYPE_i )
| ( sk92 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[4255]) ).
thf(3578,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,104]) ).
thf(3579,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[3578]) ).
thf(3609,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[3579:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(3673,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,3609]) ).
thf(3674,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3673]) ).
thf(3689,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3674]) ).
thf(3694,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[3689]) ).
thf(3695,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[3694]) ).
thf(3696,plain,
( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[3695]) ).
thf(3950,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i )
= ( ^ [B: $i] : $true ) )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) ) ),
inference(func_ext,[status(esa)],[3696]) ).
thf(4086,plain,
! [A: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i )
= ( ^ [B: $i] : $true ) )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) ) ),
inference(simp,[status(thm)],[3950]) ).
thf(5751,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4932,3058]) ).
thf(5752,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[5751]) ).
thf(5753,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[5752:[]]) ).
thf(5766,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk257 @ sk258 ) ),
inference(cnf,[status(esa)],[5753]) ).
thf(3681,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,3609]) ).
thf(3682,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3681]) ).
thf(3687,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3682]) ).
thf(3692,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3687]) ).
thf(10548,plain,
( ~ ( likes_THFTYPE_IiioI @ sk171 @ sk172 )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ( sk127 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4563,4816]) ).
thf(10549,plain,
( ~ ( likes_THFTYPE_IiioI @ sk171 @ sk172 )
| ( sk127 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[10548]) ).
thf(10550,plain,
( ~ ( likes_THFTYPE_IiioI @ sk171 @ sk172 )
| ( sk127 != lSue_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[10549:[]]) ).
thf(4948,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk213 @ sk214 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4943]) ).
thf(4949,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk213 @ sk214 ) ),
inference(simp,[status(thm)],[4948]) ).
thf(4952,plain,
! [A: $i] :
( ( sk213 != lSue_THFTYPE_i )
| ( A != sk214 ) ),
inference(simp,[status(thm)],[4949]) ).
thf(4953,plain,
sk213 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[4952]) ).
thf(10776,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk187 @ sk188 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4932,4615]) ).
thf(10777,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk187 @ sk188 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[10776]) ).
thf(10778,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk187 @ sk188 ) ),
inference(pattern_uni,[status(thm)],[10777:[]]) ).
thf(10797,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk187 @ sk188 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,10778]) ).
thf(10798,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk187 @ sk188 ) ) ),
inference(simp,[status(thm)],[10797]) ).
thf(10801,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( sk187 != lSue_THFTYPE_i )
| ( A != sk188 ) ),
inference(simp,[status(thm)],[10798]) ).
thf(10802,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( sk187 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[10801]) ).
thf(7043,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk559 @ sk560 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,7042]) ).
thf(7044,plain,
( ( likes_THFTYPE_IiioI @ sk559 @ sk560 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[7043]) ).
thf(7052,plain,
( ( sk559 != lBob_THFTYPE_i )
| ( sk560 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[7044]) ).
thf(4916,plain,
( ~ ( parent_THFTYPE_IiioI @ sk135 @ sk136 )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ( sk127 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4374,4816]) ).
thf(4917,plain,
( ~ ( parent_THFTYPE_IiioI @ sk135 @ sk136 )
| ( sk127 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[4916]) ).
thf(4918,plain,
( ~ ( parent_THFTYPE_IiioI @ sk135 @ sk136 )
| ( sk127 != lSue_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[4917:[]]) ).
thf(5244,plain,
! [A: $i] :
( ~ $true
| ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk135 @ sk136 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4918]) ).
thf(5245,plain,
! [A: $i] :
( ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk135 @ sk136 ) ) ),
inference(simp,[status(thm)],[5244]) ).
thf(5248,plain,
! [A: $i] :
( ( sk127 != lSue_THFTYPE_i )
| ( sk135 != lSue_THFTYPE_i )
| ( A != sk136 ) ),
inference(simp,[status(thm)],[5245]) ).
thf(5249,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( sk135 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[5248]) ).
thf(4271,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lAnna_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,106]) ).
thf(4272,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lAnna_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4271]) ).
thf(4308,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[4272:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(6538,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[5704,2767]) ).
thf(6539,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[6538]) ).
thf(6540,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[6539:[]]) ).
thf(6592,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk505 @ sk506 ) ),
inference(cnf,[status(esa)],[6540]) ).
thf(2408,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk31 @ sk32 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,2405]) ).
thf(2409,plain,
( ( likes_THFTYPE_IiioI @ sk31 @ sk32 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2408]) ).
thf(2413,plain,
( ( sk31 != lMary_THFTYPE_i )
| ( sk32 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2409]) ).
thf(10041,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2395]) ).
thf(10042,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[10041]) ).
thf(10077,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[10042]) ).
thf(10099,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[10077]) ).
thf(10100,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[10099]) ).
thf(10101,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[10100]) ).
thf(5272,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,132]) ).
thf(5273,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[5272]) ).
thf(5342,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[5273]) ).
thf(5357,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[5342]) ).
thf(5358,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[5357]) ).
thf(5359,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[5358]) ).
thf(9099,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2027]) ).
thf(9100,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[9099]) ).
thf(9139,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[9100]) ).
thf(9152,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[9139]) ).
thf(9153,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[9152]) ).
thf(9154,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[9153]) ).
thf(8311,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[8255:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) ))]]) ).
thf(2485,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk47 @ sk48 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,2460]) ).
thf(2486,plain,
( ( likes_THFTYPE_IiioI @ sk47 @ sk48 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2485]) ).
thf(2489,plain,
( ( sk47 != lSue_THFTYPE_i )
| ( sk48 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2486]) ).
thf(3261,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk57 @ sk58 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,3256]) ).
thf(3262,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk57 @ sk58 ) ),
inference(simp,[status(thm)],[3261]) ).
thf(3265,plain,
! [A: $i] :
( ( sk57 != lSue_THFTYPE_i )
| ( A != sk58 ) ),
inference(simp,[status(thm)],[3262]) ).
thf(3266,plain,
sk57 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[3265]) ).
thf(3064,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk35 @ sk36 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,3063]) ).
thf(3065,plain,
( ( likes_THFTYPE_IiioI @ sk35 @ sk36 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[3064]) ).
thf(3070,plain,
( ( sk35 != lBob_THFTYPE_i )
| ( sk36 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[3065]) ).
thf(2727,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2708:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ))]]) ).
thf(4247,plain,
( ~ $true
| ( sk114 != lAnna_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,4189]) ).
thf(4248,plain,
( ( sk114 != lAnna_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4247]) ).
thf(4251,plain,
( ( sk114 != lAnna_THFTYPE_i )
| ( sk91 != lSue_THFTYPE_i )
| ( sk92 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[4248]) ).
thf(3629,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,3601]) ).
thf(3630,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3629]) ).
thf(3639,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3630]) ).
thf(3646,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3639]) ).
thf(6527,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk257 @ sk258 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,5766]) ).
thf(6528,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk257 @ sk258 ) ) ),
inference(simp,[status(thm)],[6527]) ).
thf(6531,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( sk257 != lSue_THFTYPE_i )
| ( A != sk258 ) ),
inference(simp,[status(thm)],[6528]) ).
thf(6532,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( sk257 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[6531]) ).
thf(7907,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[5704,7322]) ).
thf(7908,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[7907]) ).
thf(7909,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[7908:[]]) ).
thf(7924,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk647 @ sk648 ) ),
inference(cnf,[status(esa)],[7909]) ).
thf(3631,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,3601]) ).
thf(3632,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3631]) ).
thf(3636,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3632]) ).
thf(3641,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3636]) ).
thf(2420,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk33 @ sk34 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,2417]) ).
thf(2421,plain,
( ( parent_THFTYPE_IiioI @ sk33 @ sk34 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[2420]) ).
thf(2425,plain,
( ( sk33 != lMary_THFTYPE_i )
| ( sk34 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[2421]) ).
thf(1134,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[568,1108]) ).
thf(1135,plain,
? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[1134]) ).
thf(1212,plain,
~ ( parent_THFTYPE_IiioI @ sk25 @ sk26 ),
inference(cnf,[status(esa)],[1135]) ).
thf(1630,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk25 @ sk26 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,1212]) ).
thf(1631,plain,
( ( parent_THFTYPE_IiioI @ sk25 @ sk26 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[1630]) ).
thf(1638,plain,
( ( sk25 != lMary_THFTYPE_i )
| ( sk26 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[1631]) ).
thf(2955,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2933:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(15557,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk1167 @ sk1168 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,15554]) ).
thf(15558,plain,
( ( parent_THFTYPE_IiioI @ sk1167 @ sk1168 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[15557]) ).
thf(15562,plain,
( ( sk1167 != lMary_THFTYPE_i )
| ( sk1168 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[15558]) ).
thf(11357,plain,
( ~ $true
| ( sk187 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk864 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,11315]) ).
thf(11358,plain,
( ( sk187 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk864 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[11357]) ).
thf(11362,plain,
( ( sk187 != lSue_THFTYPE_i )
| ( lMary_THFTYPE_i != lMary_THFTYPE_i )
| ( sk864 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[11358]) ).
thf(11365,plain,
( ( sk187 != lSue_THFTYPE_i )
| ( sk864 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[11362]) ).
thf(4269,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lAnna_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,106]) ).
thf(4270,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lAnna_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4269]) ).
thf(4300,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[4270:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i ) ))]]) ).
thf(7045,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk559 @ sk560 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,7042]) ).
thf(7046,plain,
( ( likes_THFTYPE_IiioI @ sk559 @ sk560 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[7045]) ).
thf(7053,plain,
( ( sk559 != lMary_THFTYPE_i )
| ( sk560 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[7046]) ).
thf(4475,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4135,4131]) ).
thf(4476,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[4475]) ).
thf(4477,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 ) ),
inference(pattern_uni,[status(thm)],[4476:[]]) ).
thf(4464,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4135,2767]) ).
thf(4465,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[4464]) ).
thf(4466,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[4465:[]]) ).
thf(4498,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ~ ( parent_THFTYPE_IiioI @ sk145 @ sk146 ) ),
inference(cnf,[status(esa)],[4466]) ).
thf(2472,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk45 @ sk46 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,2459]) ).
thf(2473,plain,
( ( likes_THFTYPE_IiioI @ sk45 @ sk46 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2472]) ).
thf(2478,plain,
( ( sk45 != lBob_THFTYPE_i )
| ( sk46 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2473]) ).
thf(3073,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
= ( ^ [B: $i] : $true ) ) ),
inference(func_ext,[status(esa)],[3061]) ).
thf(1663,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[15,1139]) ).
thf(1664,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[1663]) ).
thf(1666,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(simp,[status(thm)],[1664]) ).
thf(1669,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( parent_THFTYPE_IiioI @ sk29 @ sk30 ) ),
inference(cnf,[status(esa)],[1666]) ).
thf(1670,plain,
~ ( parent_THFTYPE_IiioI @ sk29 @ sk30 ),
inference(simp,[status(thm)],[1669]) ).
thf(2239,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk29 @ sk30 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,1670]) ).
thf(2240,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk29 @ sk30 ) ),
inference(simp,[status(thm)],[2239]) ).
thf(2250,plain,
! [A: $i] :
( ( sk29 != lSue_THFTYPE_i )
| ( A != sk30 ) ),
inference(simp,[status(thm)],[2240]) ).
thf(2261,plain,
sk29 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[2250]) ).
thf(2537,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk53 @ sk54 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,2516]) ).
thf(2538,plain,
( ( parent_THFTYPE_IiioI @ sk53 @ sk54 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[2537]) ).
thf(2542,plain,
( ( sk53 != lMary_THFTYPE_i )
| ( sk54 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[2538]) ).
thf(2361,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,82]) ).
thf(2362,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2361]) ).
thf(2390,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2362:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(9435,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2390]) ).
thf(9436,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[9435]) ).
thf(9498,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[9436]) ).
thf(9509,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[9498]) ).
thf(9510,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[9509]) ).
thf(9511,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[9510]) ).
thf(1680,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk29 @ sk30 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,1670]) ).
thf(1681,plain,
( ( parent_THFTYPE_IiioI @ sk29 @ sk30 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[1680]) ).
thf(1688,plain,
( ( sk29 != lMary_THFTYPE_i )
| ( sk30 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[1681]) ).
thf(7027,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk557 @ sk558 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,7026]) ).
thf(7028,plain,
( ( parent_THFTYPE_IiioI @ sk557 @ sk558 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[7027]) ).
thf(7033,plain,
( ( sk557 != lMary_THFTYPE_i )
| ( sk558 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[7028]) ).
thf(4835,plain,
( ~ $true
| ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk204 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,4817]) ).
thf(4836,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk204 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4835]) ).
thf(4841,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( lMary_THFTYPE_i != lMary_THFTYPE_i )
| ( sk204 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[4836]) ).
thf(4844,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( sk204 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[4841]) ).
thf(6779,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk545 @ sk546 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,6771]) ).
thf(6780,plain,
( ( likes_THFTYPE_IiioI @ sk545 @ sk546 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[6779]) ).
thf(6783,plain,
( ( sk545 != lSue_THFTYPE_i )
| ( sk546 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[6780]) ).
thf(15577,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk1169 @ sk1170 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,15569]) ).
thf(15578,plain,
( ( likes_THFTYPE_IiioI @ sk1169 @ sk1170 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[15577]) ).
thf(15581,plain,
( ( sk1169 != lSue_THFTYPE_i )
| ( sk1170 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[15578]) ).
thf(922,plain,
( ~ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ~ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(bool_ext,[status(thm)],[571]) ).
thf(933,plain,
! [B: $i,A: $i] :
( ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [C: $i,D: $i] : $true ) ) ),
inference(cnf,[status(esa)],[922]) ).
thf(934,plain,
! [B: $i,A: $i] :
( ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
= ( ^ [C: $i,D: $i] : $true ) )
| ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(lifteq,[status(thm)],[933]) ).
thf(4954,plain,
! [B: $i,A: $i] :
( ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ C @ $true ) )
= ( ^ [C: $i,D: $i] : $true ) )
| ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(rewrite,[status(thm)],[934,2148]) ).
thf(1491,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk13 @ sk14 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,1149]) ).
thf(1492,plain,
( ( likes_THFTYPE_IiioI @ sk13 @ sk14 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1491]) ).
thf(1496,plain,
( ( sk13 != lSue_THFTYPE_i )
| ( sk14 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1492]) ).
thf(4256,plain,
( ~ $true
| ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,4190]) ).
thf(4257,plain,
( ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4256]) ).
thf(4260,plain,
( ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( sk91 != lSue_THFTYPE_i )
| ( sk92 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[4257]) ).
thf(5727,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4932,2766]) ).
thf(5728,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[5727]) ).
thf(5729,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[5728:[]]) ).
thf(5763,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk253 @ sk254 ) ),
inference(cnf,[status(esa)],[5729]) ).
thf(1543,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk9 @ sk10 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,1131]) ).
thf(1544,plain,
( ( parent_THFTYPE_IiioI @ sk9 @ sk10 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[1543]) ).
thf(1551,plain,
( ( sk9 != lMary_THFTYPE_i )
| ( sk10 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[1544]) ).
thf(2363,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,82]) ).
thf(2364,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2363]) ).
thf(2384,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2364:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ))]]) ).
thf(9373,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2384]) ).
thf(9374,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[9373]) ).
thf(9423,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[9374]) ).
thf(9428,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[9423]) ).
thf(9429,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[9428]) ).
thf(9430,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[9429]) ).
thf(2467,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk43 @ sk44 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,2458]) ).
thf(2468,plain,
( ( likes_THFTYPE_IiioI @ sk43 @ sk44 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2467]) ).
thf(2471,plain,
( ( sk43 != lSue_THFTYPE_i )
| ( sk44 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2468]) ).
thf(77,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ^ [C: $i,D: $i] : $true ) )
& ( A
!= ( ^ [C: $i,D: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[36:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )),bind(C,$thf( C ))]]) ).
thf(94,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ^ [C: $i,D: $i] : $true ) )
& ( A
!= ( ^ [C: $i,D: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[77]) ).
thf(3161,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ( ( ^ [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [C: $i,D: $i] : $true ) )
& ( A
!= ( ^ [C: $i,D: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[94,1147]) ).
thf(3656,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,3607]) ).
thf(3657,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3656]) ).
thf(3663,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3657]) ).
thf(3672,plain,
( ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3663]) ).
thf(12580,plain,
( ~ $true
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,4791]) ).
thf(12581,plain,
( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[12580]) ).
thf(12590,plain,
( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( lMary_THFTYPE_i != lMary_THFTYPE_i )
| ( sk202 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[12581]) ).
thf(12599,plain,
( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( sk202 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[12590]) ).
thf(2017,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,78]) ).
thf(2018,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2017]) ).
thf(2037,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2018:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ))]]) ).
thf(18104,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk1283 @ sk1284 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,18099]) ).
thf(18105,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk1283 @ sk1284 ) ),
inference(simp,[status(thm)],[18104]) ).
thf(18108,plain,
! [A: $i] :
( ( sk1283 != lSue_THFTYPE_i )
| ( A != sk1284 ) ),
inference(simp,[status(thm)],[18105]) ).
thf(18109,plain,
sk1283 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[18108]) ).
thf(15265,plain,
( ( sk193 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[14650,3058]) ).
thf(15266,plain,
( ( sk193 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[15265]) ).
thf(15267,plain,
( ( sk193 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[15266:[]]) ).
thf(15308,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk1157 @ sk1158 ) ),
inference(cnf,[status(esa)],[15267]) ).
thf(17963,plain,
! [A: $i] :
( ( sk193 != lSue_THFTYPE_i )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk1157 @ sk1158 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,15308]) ).
thf(17964,plain,
! [A: $i] :
( ( sk193 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk1157 @ sk1158 ) ) ),
inference(simp,[status(thm)],[17963]) ).
thf(17967,plain,
! [A: $i] :
( ( sk193 != lSue_THFTYPE_i )
| ( sk1157 != lSue_THFTYPE_i )
| ( A != sk1158 ) ),
inference(simp,[status(thm)],[17964]) ).
thf(17968,plain,
( ( sk193 != lSue_THFTYPE_i )
| ( sk1157 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[17967]) ).
thf(4944,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk213 @ sk214 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,4943]) ).
thf(4945,plain,
( ( parent_THFTYPE_IiioI @ sk213 @ sk214 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[4944]) ).
thf(4950,plain,
( ( sk213 != lMary_THFTYPE_i )
| ( sk214 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[4945]) ).
thf(1511,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk13 @ sk14 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,1149]) ).
thf(1512,plain,
( ( likes_THFTYPE_IiioI @ sk13 @ sk14 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1511]) ).
thf(1531,plain,
( ( sk13 != lMary_THFTYPE_i )
| ( sk14 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1512]) ).
thf(8256,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,164]) ).
thf(8257,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[8256]) ).
thf(8295,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[8257:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ))]]) ).
thf(7814,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[5704,7319]) ).
thf(7815,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[7814]) ).
thf(7816,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[7815:[]]) ).
thf(7832,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk609 @ sk610 ) ),
inference(cnf,[status(esa)],[7816]) ).
thf(11325,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ( sk187 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[4454,10788]) ).
thf(11326,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( sk187 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[11325]) ).
thf(11327,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( sk187 != lSue_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[11326:[]]) ).
thf(5757,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4932,3057]) ).
thf(5758,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[5757]) ).
thf(5759,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[5758:[]]) ).
thf(5767,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk259 @ sk260 ) ),
inference(cnf,[status(esa)],[5759]) ).
thf(14773,plain,
! [A: $i] :
( ~ $true
| ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk193 @ sk194 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,14625]) ).
thf(14774,plain,
! [A: $i] :
( ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk193 @ sk194 ) ) ),
inference(simp,[status(thm)],[14773]) ).
thf(14777,plain,
! [A: $i] :
( ( sk127 != lSue_THFTYPE_i )
| ( sk193 != lSue_THFTYPE_i )
| ( A != sk194 ) ),
inference(simp,[status(thm)],[14774]) ).
thf(14778,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( sk193 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[14777]) ).
thf(3679,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[19,3609]) ).
thf(3680,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3679]) ).
thf(3686,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[3680]) ).
thf(3691,plain,
( ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[3686]) ).
thf(12601,plain,
( ~ $true
| ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,12597]) ).
thf(12602,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[12601]) ).
thf(12607,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( lMary_THFTYPE_i != lMary_THFTYPE_i )
| ( sk202 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[12602]) ).
thf(12612,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( sk202 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[12607]) ).
thf(1675,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk27 @ sk28 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,1668]) ).
thf(1676,plain,
( ( likes_THFTYPE_IiioI @ sk27 @ sk28 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1675]) ).
thf(1679,plain,
( ( sk27 != lSue_THFTYPE_i )
| ( sk28 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1676]) ).
thf(7685,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,154]) ).
thf(7686,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[7685]) ).
thf(7737,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[7686:[bind(A,$thf( ^ [B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(3066,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk35 @ sk36 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,3063]) ).
thf(3067,plain,
( ( likes_THFTYPE_IiioI @ sk35 @ sk36 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[3066]) ).
thf(3071,plain,
( ( sk35 != lMary_THFTYPE_i )
| ( sk36 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[3067]) ).
thf(4388,plain,
( ~ $true
| ( sk114 != lBen_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,4191]) ).
thf(4389,plain,
( ( sk114 != lBen_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4388]) ).
thf(4392,plain,
( ( sk114 != lBen_THFTYPE_i )
| ( sk91 != lSue_THFTYPE_i )
| ( sk92 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[4389]) ).
thf(15572,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk1169 @ sk1170 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,15569]) ).
thf(15573,plain,
( ( likes_THFTYPE_IiioI @ sk1169 @ sk1170 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[15572]) ).
thf(15580,plain,
( ( sk1169 != lMary_THFTYPE_i )
| ( sk1170 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[15573]) ).
thf(174,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[17,130]) ).
thf(175,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[174]) ).
thf(183,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[175]) ).
thf(188,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[183]) ).
thf(1372,plain,
~ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(rewrite,[status(thm)],[188,1141]) ).
thf(1415,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(cnf,[status(esa)],[1372]) ).
thf(1416,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(lifteq,[status(thm)],[1415]) ).
thf(1972,plain,
! [B: $i,A: $i] :
( ( ( ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ C ) ) )
= ( ^ [C: $i] : $true ) )
| ( ( ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ C ) ) )
= ( ^ [C: $i] : $true ) ) ),
inference(func_ext,[status(esa)],[1416]) ).
thf(1502,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk23 @ sk24 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,1209]) ).
thf(1503,plain,
( ( likes_THFTYPE_IiioI @ sk23 @ sk24 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1502]) ).
thf(1506,plain,
( ( sk23 != lBob_THFTYPE_i )
| ( sk24 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1503]) ).
thf(5715,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4932,4370]) ).
thf(5716,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[5715]) ).
thf(5717,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 ) ),
inference(pattern_uni,[status(thm)],[5716:[]]) ).
thf(2474,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk45 @ sk46 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,2459]) ).
thf(2475,plain,
( ( likes_THFTYPE_IiioI @ sk45 @ sk46 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2474]) ).
thf(2479,plain,
( ( sk45 != lMary_THFTYPE_i )
| ( sk46 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2475]) ).
thf(2940,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,91]) ).
thf(2941,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2940]) ).
thf(2960,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2941:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ))]]) ).
thf(15268,plain,
( ( sk193 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ) )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[14650,7319]) ).
thf(15269,plain,
( ( sk193 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[15268]) ).
thf(15270,plain,
( ( sk193 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( parent_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[15269:[]]) ).
thf(15309,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ sk1159 @ sk1160 ) ),
inference(cnf,[status(esa)],[15270]) ).
thf(12584,plain,
! [A: $i] :
( ~ $true
| ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4791]) ).
thf(12585,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk202 ) ) ),
inference(simp,[status(thm)],[12584]) ).
thf(12589,plain,
! [A: $i] :
( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( A != sk202 ) ),
inference(simp,[status(thm)],[12585]) ).
thf(12598,plain,
( ~ ( parent_THFTYPE_IiioI @ sk127 @ sk128 )
| ( lSue_THFTYPE_i != lMary_THFTYPE_i ) ),
inference(simp,[status(thm)],[12589]) ).
thf(7029,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk557 @ sk558 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,7026]) ).
thf(7030,plain,
( ( parent_THFTYPE_IiioI @ sk557 @ sk558 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[7029]) ).
thf(7034,plain,
( ( sk557 != lMary_THFTYPE_i )
| ( sk558 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[7030]) ).
thf(1632,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk25 @ sk26 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,1212]) ).
thf(1633,plain,
( ( parent_THFTYPE_IiioI @ sk25 @ sk26 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[1632]) ).
thf(1639,plain,
( ( sk25 != lMary_THFTYPE_i )
| ( sk26 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[1633]) ).
thf(2549,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk55 @ sk56 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,2517]) ).
thf(2550,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk55 @ sk56 ) ),
inference(simp,[status(thm)],[2549]) ).
thf(2553,plain,
! [A: $i] :
( ( sk55 != lSue_THFTYPE_i )
| ( A != sk56 ) ),
inference(simp,[status(thm)],[2550]) ).
thf(2554,plain,
sk55 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[2553]) ).
thf(2527,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk51 @ sk52 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,2515]) ).
thf(2528,plain,
( ( parent_THFTYPE_IiioI @ sk51 @ sk52 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[2527]) ).
thf(2532,plain,
( ( sk51 != lMary_THFTYPE_i )
| ( sk52 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[2528]) ).
thf(4245,plain,
( ~ $true
| ( sk114 != lAnna_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,4189]) ).
thf(4246,plain,
( ( sk114 != lAnna_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4245]) ).
thf(4250,plain,
( ( sk114 != lAnna_THFTYPE_i )
| ( sk91 != lMary_THFTYPE_i )
| ( sk92 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[4246]) ).
thf(5368,plain,
! [A: $i] :
( ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) )
| ( ( ^ [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i] : $true ) ) ),
inference(func_ext,[status(esa)],[5359]) ).
thf(15226,plain,
( ( sk193 != lSue_THFTYPE_i )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk165 @ sk166 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[14650,4558]) ).
thf(15227,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk165 @ sk166 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[15226]) ).
thf(15228,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk165 @ sk166 ) ),
inference(pattern_uni,[status(thm)],[15227:[]]) ).
thf(15555,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk1167 @ sk1168 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,15554]) ).
thf(15556,plain,
( ( parent_THFTYPE_IiioI @ sk1167 @ sk1168 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[15555]) ).
thf(15561,plain,
( ( sk1167 != lMary_THFTYPE_i )
| ( sk1168 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[15556]) ).
thf(7959,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk609 @ sk610 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,7832]) ).
thf(7960,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk609 @ sk610 ) ) ),
inference(simp,[status(thm)],[7959]) ).
thf(7963,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( sk609 != lSue_THFTYPE_i )
| ( A != sk610 ) ),
inference(simp,[status(thm)],[7960]) ).
thf(7964,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( sk609 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[7963]) ).
thf(8232,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk699 @ sk700 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,8229]) ).
thf(8233,plain,
( ( likes_THFTYPE_IiioI @ sk699 @ sk700 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[8232]) ).
thf(8240,plain,
( ( sk699 != lMary_THFTYPE_i )
| ( sk700 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[8233]) ).
thf(2243,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk25 @ sk26 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,1212]) ).
thf(2244,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk25 @ sk26 ) ),
inference(simp,[status(thm)],[2243]) ).
thf(2251,plain,
! [A: $i] :
( ( sk25 != lSue_THFTYPE_i )
| ( A != sk26 ) ),
inference(simp,[status(thm)],[2244]) ).
thf(2262,plain,
sk25 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[2251]) ).
thf(1682,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk29 @ sk30 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,1670]) ).
thf(1683,plain,
( ( parent_THFTYPE_IiioI @ sk29 @ sk30 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[1682]) ).
thf(1689,plain,
( ( sk29 != lMary_THFTYPE_i )
| ( sk30 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[1683]) ).
thf(11359,plain,
! [A: $i] :
( ~ $true
| ( sk187 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk864 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,11315]) ).
thf(11360,plain,
! [A: $i] :
( ( sk187 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ sk864 ) ) ),
inference(simp,[status(thm)],[11359]) ).
thf(11363,plain,
! [A: $i] :
( ( sk187 != lSue_THFTYPE_i )
| ( lSue_THFTYPE_i != lMary_THFTYPE_i )
| ( A != sk864 ) ),
inference(simp,[status(thm)],[11360]) ).
thf(11366,plain,
( ( sk187 != lSue_THFTYPE_i )
| ( lSue_THFTYPE_i != lMary_THFTYPE_i ) ),
inference(simp,[status(thm)],[11363]) ).
thf(201,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [D: $i,E: $i] :
~ ( parent_THFTYPE_IiioI @ D @ E ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[15,13]) ).
thf(202,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ? [D: $i,E: $i] :
~ ( parent_THFTYPE_IiioI @ D @ E ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[201]) ).
thf(211,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ? [D: $i,E: $i] :
~ ( parent_THFTYPE_IiioI @ D @ E ) )
!= ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[202]) ).
thf(214,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( ? [D: $i,E: $i] :
~ ( parent_THFTYPE_IiioI @ D @ E ) )
!= ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[211]) ).
thf(18100,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk1283 @ sk1284 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,18099]) ).
thf(18101,plain,
( ( parent_THFTYPE_IiioI @ sk1283 @ sk1284 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[18100]) ).
thf(18106,plain,
( ( sk1283 != lMary_THFTYPE_i )
| ( sk1284 != lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[18101]) ).
thf(1673,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk27 @ sk28 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,1668]) ).
thf(1674,plain,
( ( likes_THFTYPE_IiioI @ sk27 @ sk28 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1673]) ).
thf(1678,plain,
( ( sk27 != lMary_THFTYPE_i )
| ( sk28 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1674]) ).
thf(2529,plain,
! [A: $i] :
( ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk51 @ sk52 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,2515]) ).
thf(2530,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk51 @ sk52 ) ),
inference(simp,[status(thm)],[2529]) ).
thf(2533,plain,
! [A: $i] :
( ( sk51 != lSue_THFTYPE_i )
| ( A != sk52 ) ),
inference(simp,[status(thm)],[2530]) ).
thf(2534,plain,
sk51 != lSue_THFTYPE_i,
inference(simp,[status(thm)],[2533]) ).
thf(3259,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk57 @ sk58 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,3256]) ).
thf(3260,plain,
( ( parent_THFTYPE_IiioI @ sk57 @ sk58 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[3259]) ).
thf(3264,plain,
( ( sk57 != lMary_THFTYPE_i )
| ( sk58 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[3260]) ).
thf(6774,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk545 @ sk546 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,6771]) ).
thf(6775,plain,
( ( likes_THFTYPE_IiioI @ sk545 @ sk546 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[6774]) ).
thf(6782,plain,
( ( sk545 != lMary_THFTYPE_i )
| ( sk546 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[6775]) ).
thf(8204,plain,
( ~ $true
| ( ( parent_THFTYPE_IiioI @ sk697 @ sk698 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1153,8201]) ).
thf(8205,plain,
( ( parent_THFTYPE_IiioI @ sk697 @ sk698 )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[8204]) ).
thf(8209,plain,
( ( sk697 != lMary_THFTYPE_i )
| ( sk698 != lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[8205]) ).
thf(8296,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[8257:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i ) ))]]) ).
thf(8237,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk699 @ sk700 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,8229]) ).
thf(8238,plain,
( ( likes_THFTYPE_IiioI @ sk699 @ sk700 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[8237]) ).
thf(8241,plain,
( ( sk699 != lSue_THFTYPE_i )
| ( sk700 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[8238]) ).
thf(2961,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[2941:[bind(A,$thf( ^ [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i ) ))]]) ).
thf(7679,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk505 @ sk506 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,6592]) ).
thf(7680,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk505 @ sk506 ) ) ),
inference(simp,[status(thm)],[7679]) ).
thf(7683,plain,
! [A: $i] :
( ( sk135 != lSue_THFTYPE_i )
| ( sk505 != lSue_THFTYPE_i )
| ( A != sk506 ) ),
inference(simp,[status(thm)],[7680]) ).
thf(7684,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( sk505 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[7683]) ).
thf(6583,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) )
!= ( ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[5704,3057]) ).
thf(6584,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i )
!= ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[6583]) ).
thf(6585,plain,
( ( sk135 != lSue_THFTYPE_i )
| ? [A: $i,B: $i] :
~ ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[6584:[]]) ).
thf(6590,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk501 @ sk502 ) ),
inference(cnf,[status(esa)],[6585]) ).
thf(9314,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2037]) ).
thf(9315,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[9314]) ).
thf(9349,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[9315]) ).
thf(9365,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[9349]) ).
thf(9366,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[9365]) ).
thf(9367,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[9366]) ).
thf(45,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& $true
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[16,13]) ).
thf(46,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( B
!= ( ^ [D: $i,E: $i] : $true ) )
& ( A
!= ( ^ [D: $i,E: $i] : $true ) ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[45]) ).
thf(49,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBen_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[46:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ D ) ) )),bind(B,$thf( B )),bind(C,$thf( lBen_THFTYPE_i ))]]) ).
thf(98,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBen_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[49]) ).
thf(3394,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBen_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[98,2148]) ).
thf(8305,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[8277:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ))]]) ).
thf(1500,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk23 @ sk24 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1141,1209]) ).
thf(1501,plain,
( ( likes_THFTYPE_IiioI @ sk23 @ sk24 )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1500]) ).
thf(1505,plain,
( ( sk23 != lSue_THFTYPE_i )
| ( sk24 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1501]) ).
thf(9025,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ~ $true
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk145 @ sk146 ) ) ),
inference(paramod_ordered,[status(thm)],[2148,4498]) ).
thf(9026,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( parent_THFTYPE_IiioI @ sk145 @ sk146 ) ) ),
inference(simp,[status(thm)],[9025]) ).
thf(9034,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( sk145 != lSue_THFTYPE_i )
| ( A != sk146 ) ),
inference(simp,[status(thm)],[9026]) ).
thf(9038,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( sk145 != lSue_THFTYPE_i ) ),
inference(simp,[status(thm)],[9034]) ).
thf(7693,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,154]) ).
thf(7694,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[7693]) ).
thf(7755,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[7694:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ))]]) ).
thf(4824,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ( sk127 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4135,4816]) ).
thf(4825,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( sk127 != lSue_THFTYPE_i )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[4824]) ).
thf(4826,plain,
( ~ ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
| ( sk127 != lSue_THFTYPE_i ) ),
inference(pattern_uni,[status(thm)],[4825:[]]) ).
thf(8487,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,1783]) ).
thf(8488,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[8487]) ).
thf(8540,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[8488]) ).
thf(8551,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[8540]) ).
thf(8552,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[8551]) ).
thf(8553,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[8552]) ).
thf(15217,plain,
( ( sk193 != lSue_THFTYPE_i )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[14650,4131]) ).
thf(15218,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[15217]) ).
thf(15219,plain,
( ( sk193 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 ) ),
inference(pattern_uni,[status(thm)],[15218:[]]) ).
thf(4261,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lAnna_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1137,106]) ).
thf(4262,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ lAnna_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4261]) ).
thf(4313,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [A: $i,B: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) )
!= ( ^ [A: $i,B: $i] : $true ) )
& ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ A ) ) )
!= ( ^ [A: $i,B: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[4262:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ B ) ))]]) ).
thf(9040,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1645,2024]) ).
thf(9041,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ) ),
inference(simp,[status(thm)],[9040]) ).
thf(9087,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[9041]) ).
thf(9096,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[9087]) ).
thf(9097,plain,
! [A: $i] :
( ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( ^ [B: $i,C: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ B ) )
= ( ^ [B: $i,C: $i] : $true ) )
| ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[9096]) ).
thf(9098,plain,
( ( ( ^ [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) ) )
= ( ^ [A: $i,B: $i] : $true ) )
| ( ( ^ [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[9097]) ).
thf(4857,plain,
( ~ $true
| ( sk127 != lSue_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1147,4826]) ).
thf(4858,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( ( likes_THFTYPE_IiioI @ sk99 @ sk100 )
!= ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[4857]) ).
thf(4863,plain,
( ( sk127 != lSue_THFTYPE_i )
| ( sk99 != lBob_THFTYPE_i )
| ( sk100 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[4858]) ).
thf(2465,plain,
( ~ $true
| ( ( likes_THFTYPE_IiioI @ sk43 @ sk44 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1151,2458]) ).
thf(2466,plain,
( ( likes_THFTYPE_IiioI @ sk43 @ sk44 )
!= ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2465]) ).
thf(2470,plain,
( ( sk43 != lMary_THFTYPE_i )
| ( sk44 != lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[2466]) ).
thf(69,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ n2009_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(pre_uni,[status(thm)],[34:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ D ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )),bind(B,$thf( B )),bind(C,$thf( n2009_THFTYPE_i ))]]) ).
thf(88,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ n2009_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(simp,[status(thm)],[69]) ).
thf(2834,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ n2009_THFTYPE_i @ lBill_THFTYPE_i )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) )
& ( ( ^ [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ $true ) )
!= ( ^ [B: $i,C: $i] : $true ) ) ) ),
inference(rewrite,[status(thm)],[88,1141]) ).
thf(5730,plain,
( ( sk135 != lSue_THFTYPE_i )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[4932,4131]) ).
thf(5731,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 )
| ( ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) )
!= ( ^ [A: $i] : ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[5730]) ).
thf(5732,plain,
( ( sk135 != lSue_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ sk91 @ sk92 ) ),
inference(pattern_uni,[status(thm)],[5731:[]]) ).
thf(21826,plain,
$false,
inference(e,[status(thm)],[2612,12597,15564,18107,2412,2544,2331,2427,2480,3072,14625,2395,4391,7322,6796,5265,9572,15579,7358,4500,6798,14662,1137,2740,2459,10726,15207,7220,1497,4543,8239,1645,301,2516,4249,2531,2405,3820,3263,14,4563,8225,3061,8208,2488,8310,2767,6781,152,9240,2024,4390,78,4302,7733,20,1147,2552,11321,216,5264,164,2027,8229,4258,2469,12610,106,1677,2555,4454,4600,3670,2259,15554,1151,17342,15569,2964,6591,8306,6702,2965,1521,11478,7036,132,2424,2954,14661,6760,8201,2164,1153,8630,2773,7735,8123,7952,1783,4370,2733,2541,21,2414,11074,7042,8211,11339,3948,13612,2741,3667,6267,15279,2492,10131,6795,2515,15156,4817,4693,4845,2460,4951,1361,14598,9609,4191,2551,12600,7054,11364,5253,5263,4804,4846,2487,1668,11315,4135,4259,4086,1131,6788,13,5766,2766,3692,10550,4953,10802,7052,5249,4308,15307,6592,2413,4131,10101,1959,2033,5359,3607,2734,9154,3696,17,8311,4943,7860,3609,2489,2393,3266,3070,2727,22,1784,4251,1139,12,4558,3646,6532,4149,7924,3641,2425,1638,2148,1209,4620,2955,76,15562,11365,4300,4374,7053,4477,4498,2478,3073,2261,10778,1149,2542,9511,1688,7033,91,130,2765,80,14650,4844,6589,6783,18099,4918,15581,4954,2390,1496,2303,4260,10788,5763,1551,9430,2471,3161,3672,12599,2037,18109,15308,7026,18,17968,4950,3058,1531,8295,7832,11327,11461,5767,14778,4190,3691,3063,16,12612,1679,7319,7737,1141,4932,1670,2728,3071,3256,4392,154,15580,1972,1506,6943,5717,2458,2479,87,2960,15309,12598,104,7034,1639,2554,2532,4250,4791,5368,15228,15561,4615,7964,8240,2262,7327,1689,2384,58,11366,1212,3645,2315,82,214,18106,5704,4816,1678,2534,3264,5764,19,6782,2517,8209,3601,8296,3328,8241,2961,7684,6590,2417,6771,9367,3057,1357,3394,8305,1505,2430,8328,9038,15,7755,4826,8553,15219,215,4313,1416,9098,4863,7057,2470,2834,4189,5732]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR132^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.11/0.21 % Computer : n020.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 17:56:34 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.04/0.80 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/1.00 % [INFO] Parsing done (198ms).
% 1.23/1.02 % [INFO] Running in sequential loop mode.
% 2.09/1.43 % [INFO] eprover registered as external prover.
% 2.09/1.43 % [INFO] Scanning for conjecture ...
% 2.29/1.54 % [INFO] Found a conjecture (or negated_conjecture) and 9 axioms. Running axiom selection ...
% 2.29/1.58 % [INFO] Axiom selection finished. Selected 9 axioms (removed 0 axioms).
% 2.48/1.60 % [INFO] Problem is higher-order (TPTP THF).
% 2.48/1.60 % [INFO] Type checking passed.
% 2.48/1.61 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 77.59/17.77 % External prover 'e' found a proof!
% 77.59/17.77 % [INFO] Killing All external provers ...
% 77.59/17.77 % Time passed: 17403ms (effective reasoning time: 16744ms)
% 77.59/17.77 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 77.59/17.77 % Axioms used in derivation (9): ax_007, ax_003, ax_002, ax_005, ax, ax_008, ax_004, ax_006, ax_001
% 77.59/17.77 % No. of inferences in proof: 1271
% 77.59/17.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 17403 ms resp. 16744 ms w/o parsing
% 80.01/18.06 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 80.01/18.07 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------