%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PRO002+4 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7h6Y6nhQLy true
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:49:18 PM UTC 2025
% Result : Theorem 155.92s 22.92s
% Output : Refutation 155.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 21
% Syntax : Number of formulae : 192 ( 59 unt; 0 typ; 0 def)
% Number of atoms : 420 ( 68 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1797 ( 176 ~; 170 |; 38 &;1393 @)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 36 usr; 8 con; 0-5 aty)
% Number of variables : 270 ( 0 ^; 250 !; 20 ?; 270 :)
% Comments :
%------------------------------------------------------------------------------
thf(leaf_type,type,
leaf: $i > $i > $o ).
thf(sk__14_type,type,
sk__14: $i > $i > $i > $i ).
thf(arboreal_type,type,
arboreal: $i > $o ).
thf(send_message_type,type,
send_message: $i > $i > $i > $i > $i > $o ).
thf(sk__18_type,type,
sk__18: $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(activity_type,type,
activity: $i > $o ).
thf(sk__17_type,type,
sk__17: $i > $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(next_subocc_type,type,
next_subocc: $i > $i > $i > $o ).
thf(legal_type,type,
legal: $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(root_type,type,
root: $i > $i > $o ).
thf(atocc_type,type,
atocc: $i > $i > $o ).
thf(sk__20_type,type,
sk__20: $i ).
thf(occurrence_of_type,type,
occurrence_of: $i > $i > $o ).
thf(activity_occurrence_type,type,
activity_occurrence: $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(tptp3_type,type,
tptp3: $i ).
thf(tptp2_type,type,
tptp2: $i ).
thf(sk__12_type,type,
sk__12: $i > $i ).
thf(tptp1_type,type,
tptp1: $i > $i > $i > $o ).
thf(min_precedes_type,type,
min_precedes: $i > $i > $i > $o ).
thf(atomic_type,type,
atomic: $i > $o ).
thf(tptp0_type,type,
tptp0: $i ).
thf(leaf_occ_type,type,
leaf_occ: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i > $i > $i ).
thf(root_occ_type,type,
root_occ: $i > $i > $o ).
thf(subactivity_occurrence_type,type,
subactivity_occurrence: $i > $i > $o ).
thf(subactivity_type,type,
subactivity: $i > $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i > $i > $i ).
thf(tptp4_type,type,
tptp4: $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(sos_32,axiom,
! [X101: $i] :
( ( occurrence_of @ X101 @ tptp0 )
=> ? [X102: $i,X103: $i] :
( ( next_subocc @ X102 @ X103 @ tptp0 )
& ( leaf_occ @ X103 @ X101 )
& ( ( occurrence_of @ X103 @ tptp2 )
| ( occurrence_of @ X103 @ tptp3 ) )
& ( root_occ @ X102 @ X101 )
& ( occurrence_of @ X102 @ tptp4 ) ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i] :
( ( occurrence_of @ ( sk__13 @ X0 ) @ tptp3 )
| ( occurrence_of @ ( sk__13 @ X0 ) @ tptp2 )
| ~ ( occurrence_of @ X0 @ tptp0 ) ),
inference(cnf,[status(esa)],[sos_32]) ).
thf(goals,conjecture,
~ ? [X133: $i,X134: $i,X135: $i] :
( ( occurrence_of @ X135 @ X133 )
& ( tptp1 @ X133 @ tptp0 @ X134 ) ) ).
thf(zf_stmt_0,negated_conjecture,
? [X133: $i,X134: $i,X135: $i] :
( ( occurrence_of @ X135 @ X133 )
& ( tptp1 @ X133 @ tptp0 @ X134 ) ),
inference('cnf.neg',[status(esa)],[goals]) ).
thf(zip_derived_cl94,plain,
tptp1 @ sk__18 @ tptp0 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(sos_49,axiom,
! [X123: $i,X124: $i,X125: $i,X126: $i] :
( ( ( tptp1 @ X123 @ X124 @ X125 )
& ( occurrence_of @ X126 @ X123 ) )
=> ? [X127: $i,X128: $i,X129: $i,X130: $i] :
( ( root_occ @ X130 @ X126 )
& ( occurrence_of @ X130 @ X127 )
& ( send_message @ X127 @ X128 @ X129 @ X125 @ X124 ) ) ) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( tptp1 @ X0 @ X1 @ X2 )
| ~ ( occurrence_of @ X3 @ X0 )
| ( occurrence_of @ ( sk__17 @ X3 @ X2 @ X1 ) @ ( sk__14 @ X3 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[sos_49]) ).
thf(zip_derived_cl535,plain,
! [X0: $i] :
( ( occurrence_of @ ( sk__17 @ X0 @ sk__19 @ tptp0 ) @ ( sk__14 @ X0 @ sk__19 @ tptp0 ) )
| ~ ( occurrence_of @ X0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl90]) ).
thf(zip_derived_cl93,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94_001,plain,
tptp1 @ sk__18 @ tptp0 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( tptp1 @ X0 @ X1 @ X2 )
| ~ ( occurrence_of @ X3 @ X0 )
| ( send_message @ ( sk__14 @ X3 @ X2 @ X1 ) @ ( sk__15 @ X3 @ X2 @ X1 ) @ ( sk__16 @ X3 @ X2 @ X1 ) @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[sos_49]) ).
thf(zip_derived_cl536,plain,
! [X0: $i] :
( ( send_message @ ( sk__14 @ X0 @ sk__19 @ tptp0 ) @ ( sk__15 @ X0 @ sk__19 @ tptp0 ) @ ( sk__16 @ X0 @ sk__19 @ tptp0 ) @ sk__19 @ tptp0 )
| ~ ( occurrence_of @ X0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl91]) ).
thf(sos_47,axiom,
! [X114: $i,X115: $i,X116: $i,X117: $i,X118: $i,X119: $i] :
( ( ( send_message @ X114 @ X115 @ X116 @ X117 @ X118 )
& ( occurrence_of @ X119 @ X114 ) )
=> ( min_precedes @ X117 @ X119 @ X118 ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( send_message @ X0 @ X1 @ X2 @ X3 @ X4 )
| ~ ( occurrence_of @ X5 @ X0 )
| ( min_precedes @ X3 @ X5 @ X4 ) ),
inference(cnf,[status(esa)],[sos_47]) ).
thf(zip_derived_cl546,plain,
! [X0: $i,X1: $i] :
( ~ ( occurrence_of @ X0 @ sk__18 )
| ( min_precedes @ sk__19 @ X1 @ tptp0 )
| ~ ( occurrence_of @ X1 @ ( sk__14 @ X0 @ sk__19 @ tptp0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl536,zip_derived_cl84]) ).
thf(zip_derived_cl1066,plain,
! [X0: $i] :
( ( min_precedes @ sk__19 @ X0 @ tptp0 )
| ~ ( occurrence_of @ X0 @ ( sk__14 @ sk__20 @ sk__19 @ tptp0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl546]) ).
thf(zip_derived_cl1070,plain,
( ~ ( occurrence_of @ sk__20 @ sk__18 )
| ( min_precedes @ sk__19 @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) @ tptp0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl1066]) ).
thf(zip_derived_cl93_002,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1071,plain,
min_precedes @ sk__19 @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl1070,zip_derived_cl93]) ).
thf(sos,axiom,
! [X0: $i,X1: $i] :
( ( ( occurrence_of @ X1 @ X0 )
& ~ ( atomic @ X0 ) )
=> ? [X2: $i] :
( ( subactivity_occurrence @ X2 @ X1 )
& ( root @ X2 @ X0 ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( atomic @ X0 )
| ~ ( occurrence_of @ X1 @ X0 )
| ( root @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[sos]) ).
thf(zip_derived_cl93_003,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( atomic @ X0 )
| ~ ( occurrence_of @ X1 @ X0 )
| ( subactivity_occurrence @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[sos]) ).
thf(zip_derived_cl93_004,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(sos_19,axiom,
! [X58: $i,X59: $i] :
( ( root_occ @ X58 @ X59 )
<=> ? [X60: $i] :
( ( root @ X58 @ X60 )
& ( subactivity_occurrence @ X58 @ X59 )
& ( occurrence_of @ X59 @ X60 ) ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( root_occ @ X0 @ X1 )
| ~ ( occurrence_of @ X1 @ X2 )
| ~ ( root @ X0 @ X2 )
| ~ ( subactivity_occurrence @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos_19]) ).
thf(zip_derived_cl902,plain,
! [X0: $i] :
( ( root_occ @ X0 @ sk__20 )
| ~ ( root @ X0 @ sk__18 )
| ~ ( subactivity_occurrence @ X0 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl40]) ).
thf(zip_derived_cl93_005,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94_006,plain,
tptp1 @ sk__18 @ tptp0 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( tptp1 @ X0 @ X1 @ X2 )
| ~ ( occurrence_of @ X3 @ X0 )
| ( root_occ @ ( sk__17 @ X3 @ X2 @ X1 ) @ X3 ) ),
inference(cnf,[status(esa)],[sos_49]) ).
thf(zip_derived_cl534,plain,
! [X0: $i] :
( ( root_occ @ ( sk__17 @ X0 @ sk__19 @ tptp0 ) @ X0 )
| ~ ( occurrence_of @ X0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl89]) ).
thf(sos_29,axiom,
! [X90: $i,X91: $i,X92: $i,X93: $i] :
( ( ( occurrence_of @ X92 @ X93 )
& ( root_occ @ X90 @ X92 )
& ( root_occ @ X91 @ X92 ) )
=> ( X90 = X91 ) ) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( root_occ @ X0 @ X2 )
| ~ ( root_occ @ X1 @ X2 )
| ~ ( occurrence_of @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[sos_29]) ).
thf(zip_derived_cl1028,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( occurrence_of @ X0 @ sk__18 )
| ( X1
= ( sk__17 @ X0 @ sk__19 @ tptp0 ) )
| ~ ( root_occ @ X1 @ X0 )
| ~ ( occurrence_of @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl57]) ).
thf(zip_derived_cl1164,plain,
! [X0: $i,X1: $i] :
( ~ ( occurrence_of @ X0 @ sk__18 )
| ( X1
= ( sk__17 @ X0 @ sk__19 @ tptp0 ) )
| ~ ( root_occ @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1028]) ).
thf(zip_derived_cl1167,plain,
! [X0: $i] :
( ( X0
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) )
| ~ ( root_occ @ X0 @ sk__20 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1164]) ).
thf(zip_derived_cl1173,plain,
! [X0: $i] :
( ~ ( subactivity_occurrence @ X0 @ sk__20 )
| ~ ( root @ X0 @ sk__18 )
| ( X0
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl902,zip_derived_cl1167]) ).
thf(zip_derived_cl1177,plain,
! [X0: $i] :
( ~ ( occurrence_of @ sk__20 @ X0 )
| ( atomic @ X0 )
| ~ ( root @ ( sk_ @ sk__20 @ X0 ) @ sk__18 )
| ( ( sk_ @ sk__20 @ X0 )
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl1173]) ).
thf(zip_derived_cl1930,plain,
( ( atomic @ sk__18 )
| ~ ( root @ ( sk_ @ sk__20 @ sk__18 ) @ sk__18 )
| ( ( sk_ @ sk__20 @ sk__18 )
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1177]) ).
thf(zip_derived_cl94_007,plain,
tptp1 @ sk__18 @ tptp0 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(sos_48,axiom,
! [X120: $i,X121: $i,X122: $i] :
( ( tptp1 @ X120 @ X121 @ X122 )
=> ( ( activity @ X120 )
& ~ ( atomic @ X120 )
& ~ ( atomic @ X121 )
& ( root @ X122 @ X121 ) ) ) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( atomic @ X0 )
| ~ ( tptp1 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[sos_48]) ).
thf(zip_derived_cl531,plain,
~ ( atomic @ sk__18 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl86]) ).
thf(zip_derived_cl1932,plain,
( ~ ( root @ ( sk_ @ sk__20 @ sk__18 ) @ sk__18 )
| ( ( sk_ @ sk__20 @ sk__18 )
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1930,zip_derived_cl531]) ).
thf(zip_derived_cl1946,plain,
( ~ ( occurrence_of @ sk__20 @ sk__18 )
| ( atomic @ sk__18 )
| ( ( sk_ @ sk__20 @ sk__18 )
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1932]) ).
thf(zip_derived_cl93_008,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl531_009,plain,
~ ( atomic @ sk__18 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl86]) ).
thf(zip_derived_cl1947,plain,
( ( sk_ @ sk__20 @ sk__18 )
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1946,zip_derived_cl93,zip_derived_cl531]) ).
thf(zip_derived_cl1959,plain,
min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl1947]) ).
thf(sos_06,axiom,
! [X21: $i,X22: $i,X23: $i] :
( ( min_precedes @ X22 @ X23 @ X21 )
=> ? [X24: $i] :
( ( subactivity_occurrence @ X23 @ X24 )
& ( subactivity_occurrence @ X22 @ X24 )
& ( occurrence_of @ X24 @ X21 ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( occurrence_of @ ( sk__2 @ X0 @ X1 @ X2 ) @ X2 )
| ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[sos_06]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( leaf_occ @ ( sk__13 @ X0 ) @ X0 )
| ~ ( occurrence_of @ X0 @ tptp0 ) ),
inference(cnf,[status(esa)],[sos_32]) ).
thf(sos_18,axiom,
! [X55: $i,X56: $i] :
( ( leaf_occ @ X55 @ X56 )
<=> ? [X57: $i] :
( ( leaf @ X55 @ X57 )
& ( subactivity_occurrence @ X55 @ X56 )
& ( occurrence_of @ X56 @ X57 ) ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( subactivity_occurrence @ X0 @ X1 )
| ~ ( leaf_occ @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos_18]) ).
thf(zip_derived_cl903,plain,
! [X0: $i] :
( ~ ( occurrence_of @ X0 @ tptp0 )
| ( subactivity_occurrence @ ( sk__13 @ X0 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl33]) ).
thf(sos_11,axiom,
! [X39: $i,X40: $i] :
( ( subactivity_occurrence @ X39 @ X40 )
=> ( ( activity_occurrence @ X39 )
& ( activity_occurrence @ X40 ) ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( activity_occurrence @ X0 )
| ~ ( subactivity_occurrence @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos_11]) ).
thf(sos_12,axiom,
! [X41: $i] :
( ( activity_occurrence @ X41 )
=> ? [X42: $i] :
( ( occurrence_of @ X41 @ X42 )
& ( activity @ X42 ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
| ~ ( activity_occurrence @ X0 ) ),
inference(cnf,[status(esa)],[sos_12]) ).
thf(zip_derived_cl506,plain,
! [X0: $i,X1: $i] :
( ~ ( subactivity_occurrence @ X0 @ X1 )
| ( occurrence_of @ X0 @ ( sk__4 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl19]) ).
thf(zip_derived_cl1037,plain,
! [X0: $i] :
( ~ ( occurrence_of @ X0 @ tptp0 )
| ( occurrence_of @ ( sk__13 @ X0 ) @ ( sk__4 @ ( sk__13 @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl903,zip_derived_cl506]) ).
thf(sos_08,axiom,
! [X28: $i,X29: $i,X30: $i] :
( ( ( occurrence_of @ X28 @ X29 )
& ( occurrence_of @ X28 @ X30 ) )
=> ( X29 = X30 ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( occurrence_of @ X0 @ X1 )
| ~ ( occurrence_of @ X0 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[sos_08]) ).
thf(zip_derived_cl1725,plain,
! [X0: $i,X1: $i] :
( ~ ( occurrence_of @ X0 @ tptp0 )
| ~ ( occurrence_of @ ( sk__13 @ X0 ) @ X1 )
| ( ( sk__4 @ ( sk__13 @ X0 ) )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1037,zip_derived_cl14]) ).
thf(zip_derived_cl1729,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
| ~ ( occurrence_of @ ( sk__13 @ ( sk__2 @ X1 @ X0 @ tptp0 ) ) @ X2 )
| ( ( sk__4 @ ( sk__13 @ ( sk__2 @ X1 @ X0 @ tptp0 ) ) )
= X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1725]) ).
thf(zip_derived_cl3301,plain,
! [X0: $i] :
( ~ ( occurrence_of @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) @ X0 )
| ( ( sk__4 @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1959,zip_derived_cl1729]) ).
thf(zip_derived_cl7188,plain,
( ~ ( occurrence_of @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ tptp0 )
| ( occurrence_of @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) @ tptp3 )
| ( ( sk__4 @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) )
= tptp2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl3301]) ).
thf(zip_derived_cl11_010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( occurrence_of @ ( sk__2 @ X0 @ X1 @ X2 ) @ X2 )
| ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[sos_06]) ).
thf(zip_derived_cl11_011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( occurrence_of @ ( sk__2 @ X0 @ X1 @ X2 ) @ X2 )
| ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[sos_06]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subactivity_occurrence @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) )
| ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[sos_06]) ).
thf(zip_derived_cl94_012,plain,
tptp1 @ sk__18 @ tptp0 @ sk__19,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( root @ X0 @ X1 )
| ~ ( tptp1 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sos_48]) ).
thf(zip_derived_cl533,plain,
root @ sk__19 @ tptp0,
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl88]) ).
thf(zip_derived_cl11_013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( occurrence_of @ ( sk__2 @ X0 @ X1 @ X2 ) @ X2 )
| ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[sos_06]) ).
thf(zip_derived_cl40_014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( root_occ @ X0 @ X1 )
| ~ ( occurrence_of @ X1 @ X2 )
| ~ ( root @ X0 @ X2 )
| ~ ( subactivity_occurrence @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos_19]) ).
thf(zip_derived_cl897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( min_precedes @ X1 @ X2 @ X0 )
| ( root_occ @ X3 @ ( sk__2 @ X2 @ X1 @ X0 ) )
| ~ ( root @ X3 @ X0 )
| ~ ( subactivity_occurrence @ X3 @ ( sk__2 @ X2 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl40]) ).
thf(zip_derived_cl1959_015,plain,
min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl1947]) ).
thf(zip_derived_cl11_016,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( occurrence_of @ ( sk__2 @ X0 @ X1 @ X2 ) @ X2 )
| ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[sos_06]) ).
thf(zip_derived_cl60,plain,
! [X0: $i] :
( ( root_occ @ ( sk__12 @ X0 ) @ X0 )
| ~ ( occurrence_of @ X0 @ tptp0 ) ),
inference(cnf,[status(esa)],[sos_32]) ).
thf(zip_derived_cl57_017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( root_occ @ X0 @ X2 )
| ~ ( root_occ @ X1 @ X2 )
| ~ ( occurrence_of @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[sos_29]) ).
thf(zip_derived_cl883,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( occurrence_of @ X0 @ tptp0 )
| ( X1
= ( sk__12 @ X0 ) )
| ~ ( root_occ @ X1 @ X0 )
| ~ ( occurrence_of @ X0 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl57]) ).
thf(zip_derived_cl953,plain,
! [X0: $i,X1: $i] :
( ~ ( occurrence_of @ X0 @ tptp0 )
| ( X1
= ( sk__12 @ X0 ) )
| ~ ( root_occ @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl883]) ).
thf(zip_derived_cl954,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
| ( X2
= ( sk__12 @ ( sk__2 @ X1 @ X0 @ tptp0 ) ) )
| ~ ( root_occ @ X2 @ ( sk__2 @ X1 @ X0 @ tptp0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl953]) ).
thf(zip_derived_cl2096,plain,
! [X0: $i] :
( ( X0
= ( sk__12 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) )
| ~ ( root_occ @ X0 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1959,zip_derived_cl954]) ).
thf(zip_derived_cl4114,plain,
! [X0: $i] :
( ~ ( subactivity_occurrence @ X0 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) )
| ~ ( root @ X0 @ tptp0 )
| ~ ( min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0 )
| ( X0
= ( sk__12 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl897,zip_derived_cl2096]) ).
thf(zip_derived_cl1959_018,plain,
min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl1947]) ).
thf(zip_derived_cl4123,plain,
! [X0: $i] :
( ~ ( subactivity_occurrence @ X0 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) )
| ~ ( root @ X0 @ tptp0 )
| ( X0
= ( sk__12 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4114,zip_derived_cl1959]) ).
thf(zip_derived_cl4135,plain,
( ~ ( subactivity_occurrence @ sk__19 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) )
| ( sk__19
= ( sk__12 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl533,zip_derived_cl4123]) ).
thf(zip_derived_cl4309,plain,
( ~ ( min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0 )
| ( sk__19
= ( sk__12 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl4135]) ).
thf(zip_derived_cl1959_019,plain,
min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl1947]) ).
thf(zip_derived_cl4310,plain,
( sk__19
= ( sk__12 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4309,zip_derived_cl1959]) ).
thf(zip_derived_cl60_020,plain,
! [X0: $i] :
( ( root_occ @ ( sk__12 @ X0 ) @ X0 )
| ~ ( occurrence_of @ X0 @ tptp0 ) ),
inference(cnf,[status(esa)],[sos_32]) ).
thf(zip_derived_cl4348,plain,
( ( root_occ @ sk__19 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) )
| ~ ( occurrence_of @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ tptp0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4310,zip_derived_cl60]) ).
thf(zip_derived_cl5117,plain,
( ~ ( min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0 )
| ( root_occ @ sk__19 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl4348]) ).
thf(zip_derived_cl1959_021,plain,
min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl1947]) ).
thf(zip_derived_cl5118,plain,
root_occ @ sk__19 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ),
inference(demod,[status(thm)],[zip_derived_cl5117,zip_derived_cl1959]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( occurrence_of @ X0 @ ( sk__9 @ X0 @ X1 ) )
| ~ ( root_occ @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sos_19]) ).
thf(zip_derived_cl14_022,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( occurrence_of @ X0 @ X1 )
| ~ ( occurrence_of @ X0 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[sos_08]) ).
thf(zip_derived_cl875,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( root_occ @ X0 @ X1 )
| ~ ( occurrence_of @ X1 @ X2 )
| ( ( sk__9 @ X1 @ X0 )
= X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl14]) ).
thf(zip_derived_cl5120,plain,
! [X0: $i] :
( ~ ( occurrence_of @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ X0 )
| ( ( sk__9 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ sk__19 )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5118,zip_derived_cl875]) ).
thf(zip_derived_cl5228,plain,
( ~ ( min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0 )
| ( ( sk__9 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ sk__19 )
= tptp0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl5120]) ).
thf(zip_derived_cl1959_023,plain,
min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl1947]) ).
thf(zip_derived_cl5229,plain,
( ( sk__9 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ sk__19 )
= tptp0 ),
inference(demod,[status(thm)],[zip_derived_cl5228,zip_derived_cl1959]) ).
thf(zip_derived_cl38_024,plain,
! [X0: $i,X1: $i] :
( ( occurrence_of @ X0 @ ( sk__9 @ X0 @ X1 ) )
| ~ ( root_occ @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sos_19]) ).
thf(zip_derived_cl5235,plain,
( ( occurrence_of @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ tptp0 )
| ~ ( root_occ @ sk__19 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5229,zip_derived_cl38]) ).
thf(zip_derived_cl5118_025,plain,
root_occ @ sk__19 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ),
inference(demod,[status(thm)],[zip_derived_cl5117,zip_derived_cl1959]) ).
thf(zip_derived_cl5241,plain,
occurrence_of @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl5235,zip_derived_cl5118]) ).
thf(zip_derived_cl7191,plain,
( ( occurrence_of @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) @ tptp3 )
| ( ( sk__4 @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) )
= tptp2 ) ),
inference(demod,[status(thm)],[zip_derived_cl7188,zip_derived_cl5241]) ).
thf(zip_derived_cl63_026,plain,
! [X0: $i] :
( ( leaf_occ @ ( sk__13 @ X0 ) @ X0 )
| ~ ( occurrence_of @ X0 @ tptp0 ) ),
inference(cnf,[status(esa)],[sos_32]) ).
thf(zip_derived_cl5241_027,plain,
occurrence_of @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl5235,zip_derived_cl5118]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subactivity_occurrence @ X0 @ ( sk__2 @ X0 @ X1 @ X2 ) )
| ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[sos_06]) ).
thf(sos_02,axiom,
! [X8: $i,X9: $i,X10: $i,X11: $i] :
( ( ( occurrence_of @ X9 @ X8 )
& ( subactivity_occurrence @ X10 @ X9 )
& ( leaf_occ @ X11 @ X9 )
& ( arboreal @ X10 )
& ~ ( min_precedes @ X10 @ X11 @ X8 ) )
=> ( X11 = X10 ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( arboreal @ X0 )
| ~ ( subactivity_occurrence @ X0 @ X1 )
| ~ ( occurrence_of @ X1 @ X2 )
| ~ ( leaf_occ @ X3 @ X1 )
| ( min_precedes @ X0 @ X3 @ X2 )
| ( X3 = X0 ) ),
inference(cnf,[status(esa)],[sos_02]) ).
thf(zip_derived_cl732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( min_precedes @ X1 @ X2 @ X0 )
| ~ ( arboreal @ X2 )
| ~ ( occurrence_of @ ( sk__2 @ X2 @ X1 @ X0 ) @ X3 )
| ~ ( leaf_occ @ X4 @ ( sk__2 @ X2 @ X1 @ X0 ) )
| ( min_precedes @ X2 @ X4 @ X3 )
| ( X4 = X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl3]) ).
thf(zip_derived_cl5388,plain,
! [X0: $i] :
( ~ ( min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0 )
| ~ ( arboreal @ ( sk_ @ sk__20 @ sk__18 ) )
| ~ ( leaf_occ @ X0 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) )
| ( min_precedes @ ( sk_ @ sk__20 @ sk__18 ) @ X0 @ tptp0 )
| ( X0
= ( sk_ @ sk__20 @ sk__18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5241,zip_derived_cl732]) ).
thf(zip_derived_cl1959_028,plain,
min_precedes @ sk__19 @ ( sk_ @ sk__20 @ sk__18 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl1071,zip_derived_cl1947]) ).
thf(zip_derived_cl534_029,plain,
! [X0: $i] :
( ( root_occ @ ( sk__17 @ X0 @ sk__19 @ tptp0 ) @ X0 )
| ~ ( occurrence_of @ X0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl89]) ).
thf(zip_derived_cl38_030,plain,
! [X0: $i,X1: $i] :
( ( occurrence_of @ X0 @ ( sk__9 @ X0 @ X1 ) )
| ~ ( root_occ @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sos_19]) ).
thf(zip_derived_cl93_031,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14_032,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( occurrence_of @ X0 @ X1 )
| ~ ( occurrence_of @ X0 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[sos_08]) ).
thf(zip_derived_cl746,plain,
! [X0: $i] :
( ~ ( occurrence_of @ sk__20 @ X0 )
| ( sk__18 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl14]) ).
thf(zip_derived_cl881,plain,
! [X0: $i] :
( ~ ( root_occ @ X0 @ sk__20 )
| ( sk__18
= ( sk__9 @ sk__20 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl746]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( root @ X0 @ ( sk__9 @ X1 @ X0 ) )
| ~ ( root_occ @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos_19]) ).
thf(zip_derived_cl908,plain,
! [X0: $i] :
( ~ ( root_occ @ X0 @ sk__20 )
| ( root @ X0 @ sk__18 )
| ~ ( root_occ @ X0 @ sk__20 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl881,zip_derived_cl39]) ).
thf(zip_derived_cl911,plain,
! [X0: $i] :
( ( root @ X0 @ sk__18 )
| ~ ( root_occ @ X0 @ sk__20 ) ),
inference(simplify,[status(thm)],[zip_derived_cl908]) ).
thf(zip_derived_cl1029,plain,
( ~ ( occurrence_of @ sk__20 @ sk__18 )
| ( root @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) @ sk__18 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl534,zip_derived_cl911]) ).
thf(zip_derived_cl93_033,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1030,plain,
root @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl1029,zip_derived_cl93]) ).
thf(sos_17,axiom,
! [X53: $i,X54: $i] :
( ( root @ X53 @ X54 )
=> ( legal @ X53 ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i,X1: $i] :
( ( legal @ X0 )
| ~ ( root @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos_17]) ).
thf(zip_derived_cl1052,plain,
legal @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1030,zip_derived_cl32]) ).
thf(sos_13,axiom,
! [X43: $i] :
( ( legal @ X43 )
=> ( arboreal @ X43 ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ( arboreal @ X0 )
| ~ ( legal @ X0 ) ),
inference(cnf,[status(esa)],[sos_13]) ).
thf(zip_derived_cl1058,plain,
arboreal @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl1052,zip_derived_cl21]) ).
thf(zip_derived_cl1947_034,plain,
( ( sk_ @ sk__20 @ sk__18 )
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1946,zip_derived_cl93,zip_derived_cl531]) ).
thf(zip_derived_cl1955,plain,
arboreal @ ( sk_ @ sk__20 @ sk__18 ),
inference(demod,[status(thm)],[zip_derived_cl1058,zip_derived_cl1947]) ).
thf(zip_derived_cl5444,plain,
! [X0: $i] :
( ~ ( leaf_occ @ X0 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) )
| ( min_precedes @ ( sk_ @ sk__20 @ sk__18 ) @ X0 @ tptp0 )
| ( X0
= ( sk_ @ sk__20 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5388,zip_derived_cl1959,zip_derived_cl1955]) ).
thf(zip_derived_cl47947,plain,
( ~ ( occurrence_of @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ tptp0 )
| ( min_precedes @ ( sk_ @ sk__20 @ sk__18 ) @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) @ tptp0 )
| ( ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) )
= ( sk_ @ sk__20 @ sk__18 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl5444]) ).
thf(zip_derived_cl5241_035,plain,
occurrence_of @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl5235,zip_derived_cl5118]) ).
thf(zip_derived_cl47950,plain,
( ( min_precedes @ ( sk_ @ sk__20 @ sk__18 ) @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) @ tptp0 )
| ( ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) )
= ( sk_ @ sk__20 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl47947,zip_derived_cl5241]) ).
thf(zip_derived_cl4310_036,plain,
( sk__19
= ( sk__12 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4309,zip_derived_cl1959]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
( ( next_subocc @ ( sk__12 @ X0 ) @ ( sk__13 @ X0 ) @ tptp0 )
| ~ ( occurrence_of @ X0 @ tptp0 ) ),
inference(cnf,[status(esa)],[sos_32]) ).
thf(zip_derived_cl4350,plain,
( ( next_subocc @ sk__19 @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) @ tptp0 )
| ~ ( occurrence_of @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ tptp0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4310,zip_derived_cl64]) ).
thf(zip_derived_cl5241_037,plain,
occurrence_of @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl5235,zip_derived_cl5118]) ).
thf(zip_derived_cl5695,plain,
next_subocc @ sk__19 @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl4350,zip_derived_cl5241]) ).
thf(zip_derived_cl1071_038,plain,
min_precedes @ sk__19 @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) @ tptp0,
inference(demod,[status(thm)],[zip_derived_cl1070,zip_derived_cl93]) ).
thf(sos_26,axiom,
! [X78: $i,X79: $i,X80: $i] :
( ( next_subocc @ X78 @ X79 @ X80 )
<=> ( ( min_precedes @ X78 @ X79 @ X80 )
& ~ ? [X81: $i] :
( ( min_precedes @ X81 @ X79 @ X80 )
& ( min_precedes @ X78 @ X81 @ X80 ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( min_precedes @ X0 @ X1 @ X2 )
| ~ ( min_precedes @ X1 @ X3 @ X2 )
| ~ ( next_subocc @ X0 @ X3 @ X2 ) ),
inference(cnf,[status(esa)],[sos_26]) ).
thf(zip_derived_cl1076,plain,
! [X0: $i] :
( ~ ( min_precedes @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) @ X0 @ tptp0 )
| ~ ( next_subocc @ sk__19 @ X0 @ tptp0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1071,zip_derived_cl52]) ).
thf(zip_derived_cl1947_039,plain,
( ( sk_ @ sk__20 @ sk__18 )
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1946,zip_derived_cl93,zip_derived_cl531]) ).
thf(zip_derived_cl1961,plain,
! [X0: $i] :
( ~ ( min_precedes @ ( sk_ @ sk__20 @ sk__18 ) @ X0 @ tptp0 )
| ~ ( next_subocc @ sk__19 @ X0 @ tptp0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1076,zip_derived_cl1947]) ).
thf(zip_derived_cl5699,plain,
~ ( min_precedes @ ( sk_ @ sk__20 @ sk__18 ) @ ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) ) @ tptp0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl5695,zip_derived_cl1961]) ).
thf(zip_derived_cl47967,plain,
( ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) )
= ( sk_ @ sk__20 @ sk__18 ) ),
inference(clc,[status(thm)],[zip_derived_cl47950,zip_derived_cl5699]) ).
thf(zip_derived_cl47967_040,plain,
( ( sk__13 @ ( sk__2 @ ( sk_ @ sk__20 @ sk__18 ) @ sk__19 @ tptp0 ) )
= ( sk_ @ sk__20 @ sk__18 ) ),
inference(clc,[status(thm)],[zip_derived_cl47950,zip_derived_cl5699]) ).
thf(zip_derived_cl1030_041,plain,
root @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) @ sk__18,
inference(demod,[status(thm)],[zip_derived_cl1029,zip_derived_cl93]) ).
thf(sos_05,axiom,
! [X18: $i,X19: $i] :
( ( root @ X19 @ X18 )
=> ? [X20: $i] :
( ( atocc @ X19 @ X20 )
& ( subactivity @ X20 @ X18 ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( atocc @ X0 @ ( sk__1 @ X0 @ X1 ) )
| ~ ( root @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos_05]) ).
thf(sos_14,axiom,
! [X44: $i,X45: $i] :
( ( atocc @ X44 @ X45 )
<=> ? [X46: $i] :
( ( occurrence_of @ X44 @ X46 )
& ( atomic @ X46 )
& ( subactivity @ X45 @ X46 ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( occurrence_of @ X0 @ ( sk__5 @ X1 @ X0 ) )
| ~ ( atocc @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos_14]) ).
thf(sos_03,axiom,
! [X12: $i,X13: $i] :
( ( occurrence_of @ X13 @ X12 )
=> ( ( activity @ X12 )
& ( activity_occurrence @ X13 ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( activity_occurrence @ X0 )
| ~ ( occurrence_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sos_03]) ).
thf(zip_derived_cl19_042,plain,
! [X0: $i] :
( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
| ~ ( activity_occurrence @ X0 ) ),
inference(cnf,[status(esa)],[sos_12]) ).
thf(zip_derived_cl505,plain,
! [X0: $i,X1: $i] :
( ~ ( occurrence_of @ X0 @ X1 )
| ( occurrence_of @ X0 @ ( sk__4 @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl19]) ).
thf(zip_derived_cl785,plain,
! [X0: $i,X1: $i] :
( ~ ( atocc @ X0 @ X1 )
| ( occurrence_of @ X0 @ ( sk__4 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl505]) ).
thf(zip_derived_cl789,plain,
! [X0: $i,X1: $i] :
( ~ ( root @ X1 @ X0 )
| ( occurrence_of @ X1 @ ( sk__4 @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl785]) ).
thf(zip_derived_cl1053,plain,
occurrence_of @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) @ ( sk__4 @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1030,zip_derived_cl789]) ).
thf(zip_derived_cl93_043,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl535_044,plain,
! [X0: $i] :
( ( occurrence_of @ ( sk__17 @ X0 @ sk__19 @ tptp0 ) @ ( sk__14 @ X0 @ sk__19 @ tptp0 ) )
| ~ ( occurrence_of @ X0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl90]) ).
thf(zip_derived_cl14_045,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( occurrence_of @ X0 @ X1 )
| ~ ( occurrence_of @ X0 @ X2 )
| ( X1 = X2 ) ),
inference(cnf,[status(esa)],[sos_08]) ).
thf(zip_derived_cl1042,plain,
! [X0: $i,X1: $i] :
( ~ ( occurrence_of @ X0 @ sk__18 )
| ~ ( occurrence_of @ ( sk__17 @ X0 @ sk__19 @ tptp0 ) @ X1 )
| ( ( sk__14 @ X0 @ sk__19 @ tptp0 )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl535,zip_derived_cl14]) ).
thf(zip_derived_cl1047,plain,
! [X0: $i] :
( ~ ( occurrence_of @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) @ X0 )
| ( ( sk__14 @ sk__20 @ sk__19 @ tptp0 )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1042]) ).
thf(zip_derived_cl1251,plain,
( ( sk__14 @ sk__20 @ sk__19 @ tptp0 )
= ( sk__4 @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1053,zip_derived_cl1047]) ).
thf(zip_derived_cl1947_046,plain,
( ( sk_ @ sk__20 @ sk__18 )
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1946,zip_derived_cl93,zip_derived_cl531]) ).
thf(zip_derived_cl1990,plain,
( ( sk__14 @ sk__20 @ sk__19 @ tptp0 )
= ( sk__4 @ ( sk_ @ sk__20 @ sk__18 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1251,zip_derived_cl1947]) ).
thf(zip_derived_cl48099,plain,
( ( occurrence_of @ ( sk_ @ sk__20 @ sk__18 ) @ tptp3 )
| ( ( sk__14 @ sk__20 @ sk__19 @ tptp0 )
= tptp2 ) ),
inference(demod,[status(thm)],[zip_derived_cl7191,zip_derived_cl47967,zip_derived_cl47967,zip_derived_cl1990]) ).
thf(zip_derived_cl93_047,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl536_048,plain,
! [X0: $i] :
( ( send_message @ ( sk__14 @ X0 @ sk__19 @ tptp0 ) @ ( sk__15 @ X0 @ sk__19 @ tptp0 ) @ ( sk__16 @ X0 @ sk__19 @ tptp0 ) @ sk__19 @ tptp0 )
| ~ ( occurrence_of @ X0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl91]) ).
thf(sos_46,axiom,
! [X109: $i,X110: $i,X111: $i,X112: $i,X113: $i] :
( ( send_message @ X109 @ X110 @ X111 @ X112 @ X113 )
=> ( ( X109 != tptp4 )
& ( X109 != tptp3 )
& ( X109 != tptp2 ) ) ) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 != tptp2 )
| ~ ( send_message @ X0 @ X1 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[sos_46]) ).
thf(zip_derived_cl545,plain,
! [X0: $i] :
( ~ ( occurrence_of @ X0 @ sk__18 )
| ( ( sk__14 @ X0 @ sk__19 @ tptp0 )
!= tptp2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl536,zip_derived_cl83]) ).
thf(zip_derived_cl735,plain,
( ( sk__14 @ sk__20 @ sk__19 @ tptp0 )
!= tptp2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl545]) ).
thf(zip_derived_cl48100,plain,
occurrence_of @ ( sk_ @ sk__20 @ sk__18 ) @ tptp3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl48099,zip_derived_cl735]) ).
thf(zip_derived_cl1047_049,plain,
! [X0: $i] :
( ~ ( occurrence_of @ ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) @ X0 )
| ( ( sk__14 @ sk__20 @ sk__19 @ tptp0 )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1042]) ).
thf(zip_derived_cl1947_050,plain,
( ( sk_ @ sk__20 @ sk__18 )
= ( sk__17 @ sk__20 @ sk__19 @ tptp0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1946,zip_derived_cl93,zip_derived_cl531]) ).
thf(zip_derived_cl1952,plain,
! [X0: $i] :
( ~ ( occurrence_of @ ( sk_ @ sk__20 @ sk__18 ) @ X0 )
| ( ( sk__14 @ sk__20 @ sk__19 @ tptp0 )
= X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl1047,zip_derived_cl1947]) ).
thf(zip_derived_cl48701,plain,
( ( sk__14 @ sk__20 @ sk__19 @ tptp0 )
= tptp3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl48100,zip_derived_cl1952]) ).
thf(zip_derived_cl93_051,plain,
occurrence_of @ sk__20 @ sk__18,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl536_052,plain,
! [X0: $i] :
( ( send_message @ ( sk__14 @ X0 @ sk__19 @ tptp0 ) @ ( sk__15 @ X0 @ sk__19 @ tptp0 ) @ ( sk__16 @ X0 @ sk__19 @ tptp0 ) @ sk__19 @ tptp0 )
| ~ ( occurrence_of @ X0 @ sk__18 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl94,zip_derived_cl91]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 != tptp3 )
| ~ ( send_message @ X0 @ X1 @ X2 @ X3 @ X4 ) ),
inference(cnf,[status(esa)],[sos_46]) ).
thf(zip_derived_cl544,plain,
! [X0: $i] :
( ~ ( occurrence_of @ X0 @ sk__18 )
| ( ( sk__14 @ X0 @ sk__19 @ tptp0 )
!= tptp3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl536,zip_derived_cl82]) ).
thf(zip_derived_cl734,plain,
( ( sk__14 @ sk__20 @ sk__19 @ tptp0 )
!= tptp3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl544]) ).
thf(zip_derived_cl48714,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl48701,zip_derived_cl734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PRO002+4 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7h6Y6nhQLy true
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 10:53:53 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.54/0.66 % Total configuration time : 435
% 0.54/0.66 % Estimated wc time : 1092
% 0.54/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.80 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.83 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 155.92/22.92 % Solved by fo/fo6_bce.sh.
% 155.92/22.92 % BCE start: 95
% 155.92/22.92 % BCE eliminated: 5
% 155.92/22.92 % PE start: 90
% 155.92/22.92 logic: eq
% 155.92/22.92 % PE eliminated: 6
% 155.92/22.92 % done 6986 iterations in 22.140s
% 155.92/22.92 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 155.92/22.92 % SZS output start Refutation
% See solution above
% 155.92/22.92
% 155.92/22.92
% 155.92/22.92 % Terminating...
% 156.41/23.03 % Runner terminated.
% 156.41/23.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------