TSTP Solution File: ITP167^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP167^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 : Sun May 5 06:50:06 EDT 2024
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 155
% Syntax : Number of formulae : 220 ( 1 unt; 147 typ; 0 def)
% Number of atoms : 619 ( 110 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 877 ( 83 ~; 85 |; 16 &; 676 @)
% ( 4 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 14 ( 13 usr)
% Number of type conns : 893 ( 893 >; 0 *; 0 +; 0 <<)
% Number of symbols : 127 ( 124 usr; 9 con; 0-8 aty)
% Number of variables : 101 ( 0 ^ 100 !; 0 ?; 101 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
aexp: $tType ).
thf(type_def_6,type,
list_char: $tType ).
thf(type_def_7,type,
int: $tType ).
thf(type_def_9,type,
bexp: $tType ).
thf(type_def_10,type,
produc1260470173ar_int: $tType ).
thf(type_def_11,type,
com: $tType ).
thf(type_def_12,type,
nat: $tType ).
thf(type_def_13,type,
produc1166363805nt_com: $tType ).
thf(type_def_14,type,
set_nat: $tType ).
thf(type_def_15,type,
set_Pr866150653nt_com: $tType ).
thf(type_def_16,type,
set_Pr1148378109ar_int: $tType ).
thf(type_def_17,type,
set_o: $tType ).
thf(type_def_18,type,
set_set_nat: $tType ).
thf(func_def_0,type,
set_Pr1148378109ar_int: $tType ).
thf(func_def_1,type,
set_Pr866150653nt_com: $tType ).
thf(func_def_2,type,
produc1260470173ar_int: $tType ).
thf(func_def_3,type,
produc1166363805nt_com: $tType ).
thf(func_def_4,type,
set_set_nat: $tType ).
thf(func_def_5,type,
list_char: $tType ).
thf(func_def_6,type,
set_nat: $tType ).
thf(func_def_7,type,
set_o: $tType ).
thf(func_def_8,type,
bexp: $tType ).
thf(func_def_9,type,
aexp: $tType ).
thf(func_def_10,type,
nat: $tType ).
thf(func_def_11,type,
int: $tType ).
thf(func_def_12,type,
com: $tType ).
thf(func_def_13,type,
aval: aexp > ( list_char > int ) > int ).
thf(func_def_14,type,
bval: bexp > ( list_char > int ) > $o ).
thf(func_def_15,type,
big_big_step: produc1260470173ar_int > ( list_char > int ) > $o ).
thf(func_def_16,type,
assign: list_char > aexp > com ).
thf(func_def_17,type,
if: bexp > com > com > com ).
thf(func_def_18,type,
skip: com ).
thf(func_def_19,type,
seq: com > com > com ).
thf(func_def_20,type,
while: bexp > com > com ).
thf(func_def_21,type,
size_com: com > nat ).
thf(func_def_22,type,
fun_up103088396ar_int: ( list_char > int ) > list_char > int > list_char > int ).
thf(func_def_23,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_24,type,
zero_zero_nat: nat ).
thf(func_def_25,type,
if_int: $o > int > int > int ).
thf(func_def_26,type,
suc: nat > nat ).
thf(func_def_27,type,
size_size_com: com > nat ).
thf(func_def_28,type,
produc1139835093nt_com: ( list_char > int ) > com > produc1166363805nt_com ).
thf(func_def_29,type,
produc1193801173ar_int: com > ( list_char > int ) > produc1260470173ar_int ).
thf(func_def_30,type,
produc1803493327_com_o: ( produc1166363805nt_com > $o ) > ( list_char > int ) > com > $o ).
thf(func_def_31,type,
produc1858366159_int_o: ( produc1260470173ar_int > $o ) > com > ( list_char > int ) > $o ).
thf(func_def_32,type,
produc763543641nt_nat: ( produc1260470173ar_int > nat ) > com > ( list_char > int ) > nat ).
thf(func_def_33,type,
produc804153044ar_int: ( produc1260470173ar_int > produc1260470173ar_int ) > com > ( list_char > int ) > produc1260470173ar_int ).
thf(func_def_34,type,
produc1791150095et_nat: ( produc1260470173ar_int > set_nat ) > com > ( list_char > int ) > set_nat ).
thf(func_def_35,type,
produc9062872_int_o: ( com > ( list_char > int ) > $o ) > produc1260470173ar_int > $o ).
thf(func_def_36,type,
produc641693072nt_nat: ( com > ( list_char > int ) > nat ) > produc1260470173ar_int > nat ).
thf(func_def_37,type,
produc837840349ar_int: ( com > ( list_char > int ) > produc1260470173ar_int ) > produc1260470173ar_int > produc1260470173ar_int ).
thf(func_def_38,type,
produc857153862et_nat: ( com > ( list_char > int ) > set_nat ) > produc1260470173ar_int > set_nat ).
thf(func_def_39,type,
produc613711406_com_o: ( ( list_char > int ) > com > $o ) > produc1166363805nt_com > $o ).
thf(func_def_40,type,
produc1263502010om_nat: ( ( list_char > int ) > com > nat ) > produc1166363805nt_com > nat ).
thf(func_def_41,type,
produc1676975923nt_com: ( ( list_char > int ) > com > produc1166363805nt_com ) > produc1166363805nt_com > produc1166363805nt_com ).
thf(func_def_42,type,
produc1771082291ar_int: ( ( list_char > int ) > com > produc1260470173ar_int ) > produc1166363805nt_com > produc1260470173ar_int ).
thf(func_def_43,type,
produc1754105456et_nat: ( ( list_char > int ) > com > set_nat ) > produc1166363805nt_com > set_nat ).
thf(func_def_44,type,
produc1179280275nt_com: ( ( list_char > int ) > com > set_Pr866150653nt_com ) > produc1166363805nt_com > set_Pr866150653nt_com ).
thf(func_def_45,type,
produc1461507731ar_int: ( ( list_char > int ) > com > set_Pr1148378109ar_int ) > produc1166363805nt_com > set_Pr1148378109ar_int ).
thf(func_def_46,type,
produc668584238_int_o: ( com > ( list_char > int ) > $o ) > produc1260470173ar_int > $o ).
thf(func_def_47,type,
produc1311963066nt_nat: ( com > ( list_char > int ) > nat ) > produc1260470173ar_int > nat ).
thf(func_def_48,type,
produc1194453555nt_com: ( com > ( list_char > int ) > produc1166363805nt_com ) > produc1260470173ar_int > produc1166363805nt_com ).
thf(func_def_49,type,
produc1288559923ar_int: ( com > ( list_char > int ) > produc1260470173ar_int ) > produc1260470173ar_int > produc1260470173ar_int ).
thf(func_def_50,type,
produc991755120et_nat: ( com > ( list_char > int ) > set_nat ) > produc1260470173ar_int > set_nat ).
thf(func_def_51,type,
produc1994108563nt_com: ( com > ( list_char > int ) > set_Pr866150653nt_com ) > produc1260470173ar_int > set_Pr866150653nt_com ).
thf(func_def_52,type,
produc128852371ar_int: ( com > ( list_char > int ) > set_Pr1148378109ar_int ) > produc1260470173ar_int > set_Pr1148378109ar_int ).
thf(func_def_53,type,
produc1716235893nt_com: produc1166363805nt_com > produc1260470173ar_int ).
thf(func_def_54,type,
produc1770201973ar_int: produc1260470173ar_int > produc1166363805nt_com ).
thf(func_def_55,type,
relati1310524937decomp: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_56,type,
relati186416454e_flip: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_57,type,
relati23543761ar_int: ( ( list_char > int ) > ( list_char > int ) > $o ) > bexp > com > nat > ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_58,type,
relati2102071307_hoare: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).
thf(func_def_59,type,
relati775585786_valid: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).
thf(func_def_60,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_61,type,
collec676690312nt_com: ( produc1166363805nt_com > $o ) > set_Pr866150653nt_com ).
thf(func_def_62,type,
collec770796680ar_int: ( produc1260470173ar_int > $o ) > set_Pr1148378109ar_int ).
thf(func_def_63,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_64,type,
image_244615942nt_com: ( nat > produc1166363805nt_com ) > set_nat > set_Pr866150653nt_com ).
thf(func_def_65,type,
image_338722310ar_int: ( nat > produc1260470173ar_int ) > set_nat > set_Pr1148378109ar_int ).
thf(func_def_66,type,
image_596692520om_nat: ( produc1166363805nt_com > nat ) > set_Pr866150653nt_com > set_nat ).
thf(func_def_67,type,
image_1874758725nt_com: ( produc1166363805nt_com > produc1166363805nt_com ) > set_Pr866150653nt_com > set_Pr866150653nt_com ).
thf(func_def_68,type,
image_1968865093ar_int: ( produc1166363805nt_com > produc1260470173ar_int ) > set_Pr866150653nt_com > set_Pr1148378109ar_int ).
thf(func_def_69,type,
image_522938432_int_o: ( produc1260470173ar_int > $o ) > set_Pr1148378109ar_int > set_o ).
thf(func_def_70,type,
image_1742782760nt_nat: ( produc1260470173ar_int > nat ) > set_Pr1148378109ar_int > set_nat ).
thf(func_def_71,type,
image_786684229nt_com: ( produc1260470173ar_int > produc1166363805nt_com ) > set_Pr1148378109ar_int > set_Pr866150653nt_com ).
thf(func_def_72,type,
image_880790597ar_int: ( produc1260470173ar_int > produc1260470173ar_int ) > set_Pr1148378109ar_int > set_Pr1148378109ar_int ).
thf(func_def_73,type,
image_989727966et_nat: ( produc1260470173ar_int > set_nat ) > set_Pr1148378109ar_int > set_set_nat ).
thf(func_def_74,type,
member_o: $o > set_o > $o ).
thf(func_def_75,type,
member_nat: nat > set_nat > $o ).
thf(func_def_76,type,
member2145628230nt_com: produc1166363805nt_com > set_Pr866150653nt_com > $o ).
thf(func_def_77,type,
member92250950ar_int: produc1260470173ar_int > set_Pr1148378109ar_int > $o ).
thf(func_def_78,type,
member_set_nat: set_nat > set_set_nat > $o ).
thf(func_def_79,type,
p: ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_80,type,
q: ( list_char > int ) > ( list_char > int ) > $o ).
thf(func_def_81,type,
c: com ).
thf(func_def_82,type,
c2: com ).
thf(func_def_102,type,
sP0: ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat > bexp > com > ( list_char > int ) > com > ( list_char > int ) > $o ).
thf(func_def_103,type,
sK1: com > ( list_char > int ) > com > ( list_char > int ) > list_char > int ).
thf(func_def_104,type,
sK2: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_105,type,
sK3: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_106,type,
sK4: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_107,type,
sK5: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_108,type,
sK6: ( produc1260470173ar_int > $o ) > com ).
thf(func_def_109,type,
sK7: ( produc1260470173ar_int > $o ) > list_char > int ).
thf(func_def_110,type,
sK8: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_111,type,
sK9: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_112,type,
sK10: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_113,type,
sK11: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_114,type,
sK12: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_115,type,
sK13: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_116,type,
sK14: com > com > list_char > int ).
thf(func_def_117,type,
sK15: com > com > list_char > int ).
thf(func_def_118,type,
sK16: com > com > list_char > int ).
thf(func_def_119,type,
sK17: com > com > list_char > int ).
thf(func_def_120,type,
sK18: com > com > list_char > int ).
thf(func_def_121,type,
sK19: com > com > list_char > int ).
thf(func_def_122,type,
sK20: com > com > list_char > int ).
thf(func_def_123,type,
sK21: com > com > list_char > int ).
thf(func_def_124,type,
sK22: ( produc1260470173ar_int > $o ) > list_char > int ).
thf(func_def_125,type,
sK23: ( produc1260470173ar_int > $o ) > com ).
thf(func_def_126,type,
sK24: produc1260470173ar_int > list_char > int ).
thf(func_def_127,type,
sK25: produc1260470173ar_int > com ).
thf(func_def_128,type,
sK26: com > bexp > ( list_char > int ) > ( list_char > int ) > list_char > int ).
thf(func_def_129,type,
sK27: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_130,type,
sK28: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_131,type,
sK29: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_132,type,
sK30: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_133,type,
sK31: produc1260470173ar_int > list_char > int ).
thf(func_def_134,type,
sK32: produc1260470173ar_int > com ).
thf(func_def_135,type,
sK33: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_136,type,
sK34: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_137,type,
sK35: com > com > list_char > int ).
thf(func_def_138,type,
sK36: com > com > list_char > int ).
thf(func_def_139,type,
sK37: ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat > bexp > com > ( list_char > int ) > com > ( list_char > int ) > list_char > int ).
thf(func_def_140,type,
sK38: ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat > bexp > com > ( list_char > int ) > com > ( list_char > int ) > list_char > int ).
thf(func_def_141,type,
sK39: bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > nat > list_char > int ).
thf(func_def_142,type,
sK40: bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > nat > list_char > int ).
thf(func_def_143,type,
sK41: bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > nat > list_char > int ).
thf(func_def_144,type,
sK42: bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > nat > nat ).
thf(func_def_145,type,
sK43: bexp > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > com > nat > list_char > int ).
thf(func_def_146,type,
sK44: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_147,type,
sK45: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_148,type,
sK46: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_149,type,
sK47: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_150,type,
sK48: com > com > list_char > int ).
thf(func_def_151,type,
sK49: com > com > list_char > int ).
thf(func_def_153,type,
ph51:
!>[X0: $tType] : X0 ).
thf(f1203,plain,
$false,
inference(avatar_sat_refutation,[],[f1138,f1139,f1140,f1154,f1168,f1202]) ).
thf(f1202,plain,
( ~ spl50_1
| ~ spl50_2
| spl50_3 ),
inference(avatar_contradiction_clause,[],[f1201]) ).
thf(f1201,plain,
( $false
| ~ spl50_1
| ~ spl50_2
| spl50_3 ),
inference(subsumption_resolution,[],[f1200,f1128]) ).
thf(f1128,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true )
| ~ spl50_1 ),
inference(avatar_component_clause,[],[f1127]) ).
thf(f1127,plain,
( spl50_1
<=> ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_1])]) ).
thf(f1200,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| ~ spl50_2
| spl50_3 ),
inference(trivial_inequality_removal,[],[f1198]) ).
thf(f1198,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| ( $true != $true )
| ~ spl50_2
| spl50_3 ),
inference(superposition,[],[f1187,f1132]) ).
thf(f1132,plain,
( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true )
| ~ spl50_2 ),
inference(avatar_component_clause,[],[f1131]) ).
thf(f1131,plain,
( spl50_2
<=> ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_2])]) ).
thf(f1187,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
!= ( relati2102071307_hoare @ p @ c @ skip @ X0 ) )
| ( ( relati2102071307_hoare @ X0 @ skip @ c2 @ q )
!= $true ) )
| spl50_3 ),
inference(trivial_inequality_removal,[],[f1181]) ).
thf(f1181,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare @ X0 @ skip @ c2 @ q )
!= $true )
| ( $true != $true )
| ( $true
!= ( relati2102071307_hoare @ p @ c @ skip @ X0 ) ) )
| spl50_3 ),
inference(superposition,[],[f1180,f1079]) ).
thf(f1079,plain,
! [X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 )
= $true )
| ( $true
!= ( relati2102071307_hoare @ X3 @ X2 @ X0 @ X1 ) ) ),
inference(cnf_transformation,[],[f895]) ).
thf(f895,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 )
= $true )
| ( $true
!= ( relati2102071307_hoare @ X3 @ X2 @ X0 @ X1 ) ) ),
inference(ennf_transformation,[],[f392]) ).
thf(f392,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
= ( relati2102071307_hoare @ X3 @ X2 @ X0 @ X1 ) )
=> ( ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f391]) ).
thf(f391,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ X3 @ X2 @ X0 @ X1 )
=> ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X1: com,X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ X0 @ X1 @ X2 @ X3 )
=> ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.LPhZxkqSfP/Vampire---4.8_28729',fact_0_soundness) ).
thf(f1180,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ p @ c @ skip @ X0 )
!= $true )
| ( ( relati2102071307_hoare @ X0 @ skip @ c2 @ q )
!= $true ) )
| spl50_3 ),
inference(trivial_inequality_removal,[],[f1176]) ).
thf(f1176,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ p @ c @ skip @ X0 )
!= $true )
| ( $true != $true )
| ( ( relati2102071307_hoare @ X0 @ skip @ c2 @ q )
!= $true ) )
| spl50_3 ),
inference(superposition,[],[f1173,f1079]) ).
thf(f1173,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
!= ( relati775585786_valid @ X0 @ skip @ c2 @ q ) )
| ( ( relati775585786_valid @ p @ c @ skip @ X0 )
!= $true ) )
| spl50_3 ),
inference(trivial_inequality_removal,[],[f1172]) ).
thf(f1172,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ p @ c @ skip @ X0 )
!= $true )
| ( $true
!= ( relati775585786_valid @ X0 @ skip @ c2 @ q ) )
| ( $true != $true ) )
| spl50_3 ),
inference(superposition,[],[f1170,f1083]) ).
thf(f1083,plain,
! [X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o,X4: com] :
( ( ( relati775585786_valid @ X1 @ X4 @ X3 @ X0 )
= $true )
| ( $true
!= ( relati775585786_valid @ X2 @ skip @ X3 @ X0 ) )
| ( ( relati775585786_valid @ X1 @ X4 @ skip @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f904]) ).
thf(f904,plain,
! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X4: com] :
( ( ( relati775585786_valid @ X1 @ X4 @ skip @ X2 )
!= $true )
| ( ( relati775585786_valid @ X1 @ X4 @ X3 @ X0 )
= $true )
| ( $true
!= ( relati775585786_valid @ X2 @ skip @ X3 @ X0 ) ) ),
inference(flattening,[],[f903]) ).
thf(f903,plain,
! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X4: com] :
( ( ( relati775585786_valid @ X1 @ X4 @ X3 @ X0 )
= $true )
| ( ( relati775585786_valid @ X1 @ X4 @ skip @ X2 )
!= $true )
| ( $true
!= ( relati775585786_valid @ X2 @ skip @ X3 @ X0 ) ) ),
inference(ennf_transformation,[],[f779]) ).
thf(f779,plain,
! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X4: com] :
( ( ( ( relati775585786_valid @ X1 @ X4 @ skip @ X2 )
= $true )
& ( $true
= ( relati775585786_valid @ X2 @ skip @ X3 @ X0 ) ) )
=> ( ( relati775585786_valid @ X1 @ X4 @ X3 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f778]) ).
thf(f778,plain,
! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X4: com] :
( ( ( relati775585786_valid @ X1 @ X4 @ skip @ X2 )
& ( relati775585786_valid @ X2 @ skip @ X3 @ X0 ) )
=> ( relati775585786_valid @ X1 @ X4 @ X3 @ X0 ) ),
inference(rectify,[],[f10]) ).
thf(f10,axiom,
! [X3: ( list_char > int ) > ( list_char > int ) > $o,X0: ( list_char > int ) > ( list_char > int ) > $o,X14: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X1: com] :
( ( ( relati775585786_valid @ X0 @ X1 @ skip @ X14 )
& ( relati775585786_valid @ X14 @ skip @ X2 @ X3 ) )
=> ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.LPhZxkqSfP/Vampire---4.8_28729',fact_9_ir__valid__decomp2) ).
thf(f1170,plain,
( ( $true
!= ( relati775585786_valid @ p @ c @ c2 @ q ) )
| spl50_3 ),
inference(trivial_inequality_removal,[],[f1169]) ).
thf(f1169,plain,
( ( $true
!= ( relati775585786_valid @ p @ c @ c2 @ q ) )
| ( $true != $true )
| spl50_3 ),
inference(superposition,[],[f1137,f1019]) ).
thf(f1019,plain,
! [X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare @ X3 @ X0 @ X2 @ X1 )
= $true )
| ( $true
!= ( relati775585786_valid @ X3 @ X0 @ X2 @ X1 ) ) ),
inference(cnf_transformation,[],[f887]) ).
thf(f887,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare @ X3 @ X0 @ X2 @ X1 )
= $true )
| ( $true
!= ( relati775585786_valid @ X3 @ X0 @ X2 @ X1 ) ) ),
inference(ennf_transformation,[],[f474]) ).
thf(f474,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
= ( relati775585786_valid @ X3 @ X0 @ X2 @ X1 ) )
=> ( ( relati2102071307_hoare @ X3 @ X0 @ X2 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f473]) ).
thf(f473,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ X3 @ X0 @ X2 @ X1 )
=> ( relati2102071307_hoare @ X3 @ X0 @ X2 @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X1: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 )
=> ( relati2102071307_hoare @ X0 @ X1 @ X2 @ X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.LPhZxkqSfP/Vampire---4.8_28729',fact_1_completeness) ).
thf(f1137,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| spl50_3 ),
inference(avatar_component_clause,[],[f1135]) ).
thf(f1135,plain,
( spl50_3
<=> ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_3])]) ).
thf(f1168,plain,
( spl50_2
| ~ spl50_3 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
thf(f1167,plain,
( $false
| spl50_2
| ~ spl50_3 ),
inference(subsumption_resolution,[],[f1166,f1136]) ).
thf(f1136,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true )
| ~ spl50_3 ),
inference(avatar_component_clause,[],[f1135]) ).
thf(f1166,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| spl50_2 ),
inference(trivial_inequality_removal,[],[f1163]) ).
thf(f1163,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| ( $true != $true )
| spl50_2 ),
inference(superposition,[],[f1161,f1079]) ).
thf(f1161,plain,
( ( $true
!= ( relati775585786_valid @ p @ c @ c2 @ q ) )
| spl50_2 ),
inference(trivial_inequality_removal,[],[f1159]) ).
thf(f1159,plain,
( ( $true
!= ( relati775585786_valid @ p @ c @ c2 @ q ) )
| ( $true != $true )
| spl50_2 ),
inference(superposition,[],[f1156,f1049]) ).
thf(f1049,plain,
! [X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true
= ( relati775585786_valid @ X3 @ X2 @ skip @ ( relati1310524937decomp @ X3 @ X2 @ X0 @ X1 ) ) )
| ( ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f909]) ).
thf(f909,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 )
!= $true )
| ( ( $true
= ( relati775585786_valid @ X3 @ X2 @ skip @ ( relati1310524937decomp @ X3 @ X2 @ X0 @ X1 ) ) )
& ( ( relati775585786_valid @ ( relati1310524937decomp @ X3 @ X2 @ X0 @ X1 ) @ skip @ X0 @ X1 )
= $true ) ) ),
inference(ennf_transformation,[],[f683]) ).
thf(f683,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 )
= $true )
=> ( ( $true
= ( relati775585786_valid @ X3 @ X2 @ skip @ ( relati1310524937decomp @ X3 @ X2 @ X0 @ X1 ) ) )
& ( ( relati775585786_valid @ ( relati1310524937decomp @ X3 @ X2 @ X0 @ X1 ) @ skip @ X0 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f682]) ).
thf(f682,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 )
=> ( ( relati775585786_valid @ ( relati1310524937decomp @ X3 @ X2 @ X0 @ X1 ) @ skip @ X0 @ X1 )
& ( relati775585786_valid @ X3 @ X2 @ skip @ ( relati1310524937decomp @ X3 @ X2 @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
! [X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X1: com,X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 )
=> ( ( relati775585786_valid @ ( relati1310524937decomp @ X0 @ X1 @ X2 @ X3 ) @ skip @ X2 @ X3 )
& ( relati775585786_valid @ X0 @ X1 @ skip @ ( relati1310524937decomp @ X0 @ X1 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.LPhZxkqSfP/Vampire---4.8_28729',fact_8_ir__valid__decomp1) ).
thf(f1156,plain,
( ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| spl50_2 ),
inference(trivial_inequality_removal,[],[f1155]) ).
thf(f1155,plain,
( ( $true != $true )
| ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| spl50_2 ),
inference(superposition,[],[f1133,f1019]) ).
thf(f1133,plain,
( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| spl50_2 ),
inference(avatar_component_clause,[],[f1131]) ).
thf(f1154,plain,
( spl50_1
| ~ spl50_3 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
thf(f1153,plain,
( $false
| spl50_1
| ~ spl50_3 ),
inference(subsumption_resolution,[],[f1151,f1136]) ).
thf(f1151,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| spl50_1 ),
inference(trivial_inequality_removal,[],[f1149]) ).
thf(f1149,plain,
( ( $true != $true )
| ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| spl50_1 ),
inference(superposition,[],[f1146,f1079]) ).
thf(f1146,plain,
( ( $true
!= ( relati775585786_valid @ p @ c @ c2 @ q ) )
| spl50_1 ),
inference(trivial_inequality_removal,[],[f1143]) ).
thf(f1143,plain,
( ( $true != $true )
| ( $true
!= ( relati775585786_valid @ p @ c @ c2 @ q ) )
| spl50_1 ),
inference(superposition,[],[f1142,f1048]) ).
thf(f1048,plain,
! [X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ ( relati1310524937decomp @ X3 @ X2 @ X0 @ X1 ) @ skip @ X0 @ X1 )
= $true )
| ( ( relati775585786_valid @ X3 @ X2 @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f909]) ).
thf(f1142,plain,
( ( ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| spl50_1 ),
inference(trivial_inequality_removal,[],[f1141]) ).
thf(f1141,plain,
( ( ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| ( $true != $true )
| spl50_1 ),
inference(superposition,[],[f1129,f1019]) ).
thf(f1129,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| spl50_1 ),
inference(avatar_component_clause,[],[f1127]) ).
thf(f1140,plain,
( spl50_3
| spl50_1 ),
inference(avatar_split_clause,[],[f1086,f1127,f1135]) ).
thf(f1086,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true )
| ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true ) ),
inference(cnf_transformation,[],[f985]) ).
thf(f985,plain,
( ( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true ) )
& ( ( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true )
& ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true ) )
| ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true ) ) ),
inference(flattening,[],[f984]) ).
thf(f984,plain,
( ( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true ) )
& ( ( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true )
& ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true ) )
| ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true ) ) ),
inference(nnf_transformation,[],[f902]) ).
thf(f902,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true )
<~> ( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true )
& ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true ) ) ),
inference(ennf_transformation,[],[f821]) ).
thf(f821,plain,
~ ( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true )
<=> ( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true )
& ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true ) ) ),
inference(fool_elimination,[],[f820]) ).
thf(f820,plain,
~ ( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) ) )
& ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) ),
inference(rectify,[],[f357]) ).
thf(f357,negated_conjecture,
~ ( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) ) )
& ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) ),
inference(negated_conjecture,[],[f356]) ).
thf(f356,conjecture,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) ) )
& ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q ) ),
file('/export/starexec/sandbox/tmp/tmp.LPhZxkqSfP/Vampire---4.8_28729',conj_0) ).
thf(f1139,plain,
( spl50_3
| spl50_2 ),
inference(avatar_split_clause,[],[f1085,f1131,f1135]) ).
thf(f1085,plain,
( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true )
| ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true ) ),
inference(cnf_transformation,[],[f985]) ).
thf(f1138,plain,
( ~ spl50_1
| ~ spl50_2
| ~ spl50_3 ),
inference(avatar_split_clause,[],[f1087,f1135,f1131,f1127]) ).
thf(f1087,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true ) ),
inference(cnf_transformation,[],[f985]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP167^1 : TPTP v8.1.2. Released v7.5.0.
% 0.15/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:21:23 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.36 This is a TH0_THM_EQU_NAR problem
% 0.22/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.LPhZxkqSfP/Vampire---4.8_28729
% 0.22/0.41 % (28989)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.41 % (28990)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.22/0.41 % (28988)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.22/0.41 % (28986)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.22/0.41 % (28987)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.41 % (28991)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.22/0.41 % (28992)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.41 % (28993)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.41 % (28989)Instruction limit reached!
% 0.22/0.41 % (28989)------------------------------
% 0.22/0.41 % (28989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (28989)Termination reason: Unknown
% 0.22/0.41 % (28989)Termination phase: shuffling
% 0.22/0.41 % (28990)Instruction limit reached!
% 0.22/0.41 % (28990)------------------------------
% 0.22/0.41 % (28990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41
% 0.22/0.41 % (28989)Memory used [KB]: 1535
% 0.22/0.41 % (28989)Time elapsed: 0.004 s
% 0.22/0.41 % (28989)Instructions burned: 2 (million)
% 0.22/0.41 % (28989)------------------------------
% 0.22/0.41 % (28989)------------------------------
% 0.22/0.41 % (28990)Termination reason: Unknown
% 0.22/0.41 % (28990)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (28990)Memory used [KB]: 1535
% 0.22/0.41 % (28990)Time elapsed: 0.004 s
% 0.22/0.41 % (28990)Instructions burned: 2 (million)
% 0.22/0.41 % (28990)------------------------------
% 0.22/0.41 % (28990)------------------------------
% 0.22/0.41 % (28993)Instruction limit reached!
% 0.22/0.41 % (28993)------------------------------
% 0.22/0.41 % (28993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (28993)Termination reason: Unknown
% 0.22/0.41 % (28993)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (28993)Memory used [KB]: 1535
% 0.22/0.41 % (28993)Time elapsed: 0.005 s
% 0.22/0.41 % (28993)Instructions burned: 4 (million)
% 0.22/0.41 % (28993)------------------------------
% 0.22/0.41 % (28993)------------------------------
% 0.22/0.41 % (28987)Instruction limit reached!
% 0.22/0.41 % (28987)------------------------------
% 0.22/0.41 % (28987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (28987)Termination reason: Unknown
% 0.22/0.41 % (28987)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (28987)Memory used [KB]: 1663
% 0.22/0.41 % (28987)Time elapsed: 0.005 s
% 0.22/0.41 % (28987)Instructions burned: 5 (million)
% 0.22/0.41 % (28987)------------------------------
% 0.22/0.41 % (28987)------------------------------
% 0.22/0.42 % (28992)Instruction limit reached!
% 0.22/0.42 % (28992)------------------------------
% 0.22/0.42 % (28992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (28992)Termination reason: Unknown
% 0.22/0.42 % (28992)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (28992)Memory used [KB]: 1918
% 0.22/0.42 % (28992)Time elapsed: 0.014 s
% 0.22/0.42 % (28992)Instructions burned: 18 (million)
% 0.22/0.42 % (28992)------------------------------
% 0.22/0.42 % (28992)------------------------------
% 0.22/0.43 % (28994)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.22/0.43 % (28995)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.22/0.43 % (28988)Instruction limit reached!
% 0.22/0.43 % (28988)------------------------------
% 0.22/0.43 % (28988)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (28988)Termination reason: Unknown
% 0.22/0.43 % (28988)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (28988)Memory used [KB]: 2046
% 0.22/0.43 % (28988)Time elapsed: 0.019 s
% 0.22/0.43 % (28988)Instructions burned: 28 (million)
% 0.22/0.43 % (28988)------------------------------
% 0.22/0.43 % (28988)------------------------------
% 0.22/0.43 % (28996)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.43 % (28997)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.22/0.43 % (28996)Instruction limit reached!
% 0.22/0.43 % (28996)------------------------------
% 0.22/0.43 % (28996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (28996)Termination reason: Unknown
% 0.22/0.43 % (28996)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (28996)Memory used [KB]: 1535
% 0.22/0.43 % (28996)Time elapsed: 0.004 s
% 0.22/0.43 % (28996)Instructions burned: 3 (million)
% 0.22/0.43 % (28996)------------------------------
% 0.22/0.43 % (28996)------------------------------
% 0.22/0.44 % (28995)Instruction limit reached!
% 0.22/0.44 % (28995)------------------------------
% 0.22/0.44 % (28995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (28995)Termination reason: Unknown
% 0.22/0.44 % (28995)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (28995)Memory used [KB]: 1791
% 0.22/0.44 % (28995)Time elapsed: 0.012 s
% 0.22/0.44 % (28995)Instructions burned: 16 (million)
% 0.22/0.44 % (28995)------------------------------
% 0.22/0.44 % (28995)------------------------------
% 0.22/0.44 % (28998)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.44 % (28998)Instruction limit reached!
% 0.22/0.44 % (28998)------------------------------
% 0.22/0.44 % (28998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (28998)Termination reason: Unknown
% 0.22/0.44 % (28998)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (28998)Memory used [KB]: 1663
% 0.22/0.44 % (28998)Time elapsed: 0.007 s
% 0.22/0.44 % (28998)Instructions burned: 7 (million)
% 0.22/0.44 % (28998)------------------------------
% 0.22/0.44 % (28998)------------------------------
% 0.22/0.44 % (28999)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.22/0.44 % (29000)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.45 % (29000)Instruction limit reached!
% 0.22/0.45 % (29000)------------------------------
% 0.22/0.45 % (29000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (28994)Instruction limit reached!
% 0.22/0.45 % (28994)------------------------------
% 0.22/0.45 % (28994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (28994)Termination reason: Unknown
% 0.22/0.45 % (28994)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (28994)Memory used [KB]: 2302
% 0.22/0.45 % (28994)Time elapsed: 0.022 s
% 0.22/0.45 % (28994)Instructions burned: 37 (million)
% 0.22/0.45 % (28994)------------------------------
% 0.22/0.45 % (28994)------------------------------
% 0.22/0.45 % (29000)Termination reason: Unknown
% 0.22/0.45 % (29000)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (29000)Memory used [KB]: 1535
% 0.22/0.45 % (29000)Time elapsed: 0.004 s
% 0.22/0.45 % (29000)Instructions burned: 3 (million)
% 0.22/0.45 % (29000)------------------------------
% 0.22/0.45 % (29000)------------------------------
% 0.22/0.45 % (29001)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.45 % (28999)Instruction limit reached!
% 0.22/0.45 % (28999)------------------------------
% 0.22/0.45 % (28999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (28999)Termination reason: Unknown
% 0.22/0.45 % (29001)Instruction limit reached!
% 0.22/0.45 % (29001)------------------------------
% 0.22/0.45 % (29001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (28999)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (28999)Memory used [KB]: 1918
% 0.22/0.45 % (28999)Time elapsed: 0.012 s
% 0.22/0.45 % (28999)Instructions burned: 17 (million)
% 0.22/0.45 % (28999)------------------------------
% 0.22/0.45 % (28999)------------------------------
% 0.22/0.45 % (29001)Termination reason: Unknown
% 0.22/0.45 % (29001)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (29001)Memory used [KB]: 1535
% 0.22/0.45 % (29001)Time elapsed: 0.004 s
% 0.22/0.45 % (29001)Instructions burned: 3 (million)
% 0.22/0.45 % (29001)------------------------------
% 0.22/0.45 % (29001)------------------------------
% 0.22/0.46 % (29002)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.22/0.46 % (29002)Instruction limit reached!
% 0.22/0.46 % (29002)------------------------------
% 0.22/0.46 % (29002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (29002)Termination reason: Unknown
% 0.22/0.46 % (29002)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (29002)Memory used [KB]: 1663
% 0.22/0.46 % (29002)Time elapsed: 0.007 s
% 0.22/0.46 % (29002)Instructions burned: 7 (million)
% 0.22/0.46 % (29003)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.46 % (29002)------------------------------
% 0.22/0.46 % (29002)------------------------------
% 0.22/0.46 % (29004)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.46 % (29003)Instruction limit reached!
% 0.22/0.46 % (29003)------------------------------
% 0.22/0.46 % (29003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (29003)Termination reason: Unknown
% 0.22/0.46 % (29003)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (29003)Memory used [KB]: 1535
% 0.22/0.46 % (29003)Time elapsed: 0.004 s
% 0.22/0.46 % (29003)Instructions burned: 3 (million)
% 0.22/0.46 % (29003)------------------------------
% 0.22/0.46 % (29003)------------------------------
% 0.22/0.46 % (29004)Instruction limit reached!
% 0.22/0.46 % (29004)------------------------------
% 0.22/0.46 % (29004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (29004)Termination reason: Unknown
% 0.22/0.46 % (29004)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (29004)Memory used [KB]: 1535
% 0.22/0.46 % (29004)Time elapsed: 0.005 s
% 0.22/0.46 % (29004)Instructions burned: 4 (million)
% 0.22/0.46 % (29004)------------------------------
% 0.22/0.46 % (29004)------------------------------
% 0.22/0.47 % (29006)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.22/0.47 % (29005)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.47 % (29010)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.22/0.48 % (29009)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.48 % (29012)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2998ds/21Mi)
% 0.22/0.48 % (29009)Instruction limit reached!
% 0.22/0.48 % (29009)------------------------------
% 0.22/0.48 % (29009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (29009)Termination reason: Unknown
% 0.22/0.48 % (29009)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (29009)Memory used [KB]: 1663
% 0.22/0.48 % (29009)Time elapsed: 0.007 s
% 0.22/0.48 % (29009)Instructions burned: 7 (million)
% 0.22/0.48 % (29009)------------------------------
% 0.22/0.48 % (29009)------------------------------
% 0.22/0.49 % (28991)First to succeed.
% 0.22/0.49 % (29005)Instruction limit reached!
% 0.22/0.49 % (29005)------------------------------
% 0.22/0.49 % (29005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (29005)Termination reason: Unknown
% 0.22/0.49 % (29005)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (29005)Memory used [KB]: 1791
% 0.22/0.49 % (29005)Time elapsed: 0.019 s
% 0.22/0.49 % (29005)Instructions burned: 18 (million)
% 0.22/0.49 % (29005)------------------------------
% 0.22/0.49 % (29005)------------------------------
% 0.22/0.49 % (28991)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for Vampire---4
% 0.22/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.49 % (28991)------------------------------
% 0.22/0.49 % (28991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (28991)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (28991)Memory used [KB]: 7164
% 0.22/0.49 % (28991)Time elapsed: 0.083 s
% 0.22/0.49 % (28991)Instructions burned: 128 (million)
% 0.22/0.49 % (28991)------------------------------
% 0.22/0.49 % (28991)------------------------------
% 0.22/0.49 % (28985)Success in time 0.127 s
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------