TSTP Solution File: ITP167^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP167^1 : TPTP v8.2.0. 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 : n019.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 : Mon May 20 22:34:12 EDT 2024
% Result : Theorem 0.22s 0.48s
% 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 > com > ( list_char > int ) > bexp > com > ( list_char > int ) > $o ).
thf(func_def_103,type,
sK1: ( list_char > int ) > ( list_char > int ) > bexp > com > 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: produc1260470173ar_int > com ).
thf(func_def_107,type,
sK5: produc1260470173ar_int > list_char > int ).
thf(func_def_108,type,
sK6: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_109,type,
sK7: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > 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 ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_113,type,
sK11: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_114,type,
sK12: ( produc1260470173ar_int > $o ) > com ).
thf(func_def_115,type,
sK13: ( produc1260470173ar_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: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_123,type,
sK21: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_124,type,
sK22: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_125,type,
sK23: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_126,type,
sK24: com > com > list_char > int ).
thf(func_def_127,type,
sK25: com > com > list_char > int ).
thf(func_def_128,type,
sK26: com > com > list_char > int ).
thf(func_def_129,type,
sK27: com > com > list_char > int ).
thf(func_def_130,type,
sK28: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_131,type,
sK29: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( 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: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_134,type,
sK32: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
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: ( produc1260470173ar_int > $o ) > list_char > int ).
thf(func_def_137,type,
sK35: ( produc1260470173ar_int > $o ) > com ).
thf(func_def_138,type,
sK36: produc1260470173ar_int > com ).
thf(func_def_139,type,
sK37: produc1260470173ar_int > list_char > int ).
thf(func_def_140,type,
sK38: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_141,type,
sK39: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(func_def_142,type,
sK40: com > com > list_char > int ).
thf(func_def_143,type,
sK41: com > com > list_char > int ).
thf(func_def_144,type,
sK42: ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat > com > ( list_char > int ) > bexp > com > ( list_char > int ) > list_char > int ).
thf(func_def_145,type,
sK43: ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat > com > ( list_char > int ) > bexp > com > ( list_char > int ) > list_char > int ).
thf(func_def_146,type,
sK44: com > bexp > com > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > nat > list_char > int ).
thf(func_def_147,type,
sK45: com > bexp > com > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > nat > list_char > int ).
thf(func_def_148,type,
sK46: bexp > com > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat > list_char > int ).
thf(func_def_149,type,
sK47: bexp > com > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat > list_char > int ).
thf(func_def_150,type,
sK48: bexp > com > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat > nat ).
thf(func_def_151,type,
sK49: com > com > ( list_char > int ) > ( list_char > int ) > list_char > int ).
thf(func_def_153,type,
ph51:
!>[X0: $tType] : X0 ).
thf(f1193,plain,
$false,
inference(avatar_sat_refutation,[],[f1132,f1137,f1138,f1164,f1178,f1192]) ).
thf(f1192,plain,
( ~ spl50_1
| spl50_3 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
thf(f1191,plain,
( $false
| ~ spl50_1
| spl50_3 ),
inference(subsumption_resolution,[],[f1190,f1127]) ).
thf(f1127,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true )
| ~ spl50_1 ),
inference(avatar_component_clause,[],[f1125]) ).
thf(f1125,plain,
( spl50_1
<=> ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_1])]) ).
thf(f1190,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| spl50_3 ),
inference(trivial_inequality_removal,[],[f1188]) ).
thf(f1188,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| ( $true != $true )
| spl50_3 ),
inference(superposition,[],[f1184,f1036]) ).
thf(f1036,plain,
! [X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X1: com] :
( ( ( relati775585786_valid @ X3 @ X0 @ X1 @ X2 )
= $true )
| ( ( relati2102071307_hoare @ X3 @ X0 @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f875]) ).
thf(f875,plain,
! [X0: com,X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare @ X3 @ X0 @ X1 @ X2 )
!= $true )
| ( ( relati775585786_valid @ X3 @ X0 @ X1 @ X2 )
= $true ) ),
inference(ennf_transformation,[],[f579]) ).
thf(f579,plain,
! [X0: com,X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare @ X3 @ X0 @ X1 @ X2 )
= $true )
=> ( ( relati775585786_valid @ X3 @ X0 @ X1 @ X2 )
= $true ) ),
inference(fool_elimination,[],[f578]) ).
thf(f578,plain,
! [X0: com,X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ X3 @ X0 @ X1 @ X2 )
=> ( relati775585786_valid @ X3 @ X0 @ X1 @ X2 ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare @ X0 @ X1 @ X2 @ X3 )
=> ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_soundness) ).
thf(f1184,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| spl50_3 ),
inference(trivial_inequality_removal,[],[f1181]) ).
thf(f1181,plain,
( ( $true != $true )
| ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| spl50_3 ),
inference(superposition,[],[f1180,f1104]) ).
thf(f1104,plain,
! [X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X2 @ X0 @ skip @ ( relati1310524937decomp @ X2 @ X0 @ X3 @ X1 ) )
= $true )
| ( ( relati775585786_valid @ X2 @ X0 @ X3 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f878]) ).
thf(f878,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com] :
( ( ( ( relati775585786_valid @ ( relati1310524937decomp @ X2 @ X0 @ X3 @ X1 ) @ skip @ X3 @ X1 )
= $true )
& ( ( relati775585786_valid @ X2 @ X0 @ skip @ ( relati1310524937decomp @ X2 @ X0 @ X3 @ X1 ) )
= $true ) )
| ( ( relati775585786_valid @ X2 @ X0 @ X3 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f436]) ).
thf(f436,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com] :
( ( ( relati775585786_valid @ X2 @ X0 @ X3 @ X1 )
= $true )
=> ( ( ( relati775585786_valid @ ( relati1310524937decomp @ X2 @ X0 @ X3 @ X1 ) @ skip @ X3 @ X1 )
= $true )
& ( ( relati775585786_valid @ X2 @ X0 @ skip @ ( relati1310524937decomp @ X2 @ X0 @ X3 @ X1 ) )
= $true ) ) ),
inference(fool_elimination,[],[f435]) ).
thf(f435,plain,
! [X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com] :
( ( relati775585786_valid @ X2 @ X0 @ X3 @ X1 )
=> ( ( relati775585786_valid @ ( relati1310524937decomp @ X2 @ X0 @ X3 @ X1 ) @ skip @ X3 @ X1 )
& ( relati775585786_valid @ X2 @ X0 @ skip @ ( relati1310524937decomp @ X2 @ X0 @ X3 @ X1 ) ) ) ),
inference(rectify,[],[f9]) ).
thf(f9,axiom,
! [X1: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: ( list_char > int ) > ( list_char > int ) > $o,X2: com] :
( ( 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/benchmark/theBenchmark.p',fact_8_ir__valid__decomp1) ).
thf(f1180,plain,
( ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| spl50_3 ),
inference(trivial_inequality_removal,[],[f1179]) ).
thf(f1179,plain,
( ( $true != $true )
| ( ( relati775585786_valid @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| spl50_3 ),
inference(superposition,[],[f1135,f1063]) ).
thf(f1063,plain,
! [X2: com,X3: com,X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare @ X1 @ X3 @ X2 @ X0 )
= $true )
| ( ( relati775585786_valid @ X1 @ X3 @ X2 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f927]) ).
thf(f927,plain,
! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: com] :
( ( ( relati775585786_valid @ X1 @ X3 @ X2 @ X0 )
!= $true )
| ( ( relati2102071307_hoare @ X1 @ X3 @ X2 @ X0 )
= $true ) ),
inference(ennf_transformation,[],[f428]) ).
thf(f428,plain,
! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: com] :
( ( ( relati775585786_valid @ X1 @ X3 @ X2 @ X0 )
= $true )
=> ( ( relati2102071307_hoare @ X1 @ X3 @ X2 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f427]) ).
thf(f427,plain,
! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X3: com] :
( ( relati775585786_valid @ X1 @ X3 @ X2 @ X0 )
=> ( relati2102071307_hoare @ X1 @ X3 @ X2 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X3: ( list_char > int ) > ( list_char > int ) > $o,X0: ( list_char > int ) > ( list_char > int ) > $o,X2: com,X1: com] :
( ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 )
=> ( relati2102071307_hoare @ X0 @ X1 @ X2 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_completeness) ).
thf(f1135,plain,
( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true )
| spl50_3 ),
inference(avatar_component_clause,[],[f1134]) ).
thf(f1134,plain,
( spl50_3
<=> ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_3])]) ).
thf(f1178,plain,
( ~ spl50_1
| spl50_2 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
thf(f1177,plain,
( $false
| ~ spl50_1
| spl50_2 ),
inference(subsumption_resolution,[],[f1176,f1127]) ).
thf(f1176,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| spl50_2 ),
inference(trivial_inequality_removal,[],[f1174]) ).
thf(f1174,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| ( $true != $true )
| spl50_2 ),
inference(superposition,[],[f1170,f1036]) ).
thf(f1170,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| spl50_2 ),
inference(trivial_inequality_removal,[],[f1167]) ).
thf(f1167,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| ( $true != $true )
| spl50_2 ),
inference(superposition,[],[f1166,f1105]) ).
thf(f1105,plain,
! [X2: ( list_char > int ) > ( list_char > int ) > $o,X3: com,X0: com,X1: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ ( relati1310524937decomp @ X2 @ X0 @ X3 @ X1 ) @ skip @ X3 @ X1 )
= $true )
| ( ( relati775585786_valid @ X2 @ X0 @ X3 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f878]) ).
thf(f1166,plain,
( ( ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| spl50_2 ),
inference(trivial_inequality_removal,[],[f1165]) ).
thf(f1165,plain,
( ( ( relati775585786_valid @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| ( $true != $true )
| spl50_2 ),
inference(superposition,[],[f1130,f1063]) ).
thf(f1130,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| spl50_2 ),
inference(avatar_component_clause,[],[f1129]) ).
thf(f1129,plain,
( spl50_2
<=> ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_2])]) ).
thf(f1164,plain,
( spl50_1
| ~ spl50_2
| ~ spl50_3 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
thf(f1163,plain,
( $false
| spl50_1
| ~ spl50_2
| ~ spl50_3 ),
inference(subsumption_resolution,[],[f1162,f1131]) ).
thf(f1131,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true )
| ~ spl50_2 ),
inference(avatar_component_clause,[],[f1129]) ).
thf(f1162,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| spl50_1
| ~ spl50_3 ),
inference(trivial_inequality_removal,[],[f1159]) ).
thf(f1159,plain,
( ( $true != $true )
| ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| spl50_1
| ~ spl50_3 ),
inference(superposition,[],[f1156,f1136]) ).
thf(f1136,plain,
( ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true )
| ~ spl50_3 ),
inference(avatar_component_clause,[],[f1134]) ).
thf(f1156,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare @ p @ c @ skip @ X0 )
!= $true )
| ( ( relati2102071307_hoare @ X0 @ skip @ c2 @ q )
!= $true ) )
| spl50_1 ),
inference(trivial_inequality_removal,[],[f1155]) ).
thf(f1155,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare @ p @ c @ skip @ X0 )
!= $true )
| ( $true != $true )
| ( ( relati2102071307_hoare @ X0 @ skip @ c2 @ q )
!= $true ) )
| spl50_1 ),
inference(superposition,[],[f1150,f1036]) ).
thf(f1150,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X0 @ skip @ c2 @ q )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ skip @ X0 )
!= $true ) )
| spl50_1 ),
inference(trivial_inequality_removal,[],[f1147]) ).
thf(f1147,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( $true != $true )
| ( ( relati775585786_valid @ X0 @ skip @ c2 @ q )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ skip @ X0 )
!= $true ) )
| spl50_1 ),
inference(superposition,[],[f1143,f1036]) ).
thf(f1143,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ p @ c @ skip @ X0 )
!= $true )
| ( ( relati775585786_valid @ X0 @ skip @ c2 @ q )
!= $true ) )
| spl50_1 ),
inference(trivial_inequality_removal,[],[f1141]) ).
thf(f1141,plain,
( ! [X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ p @ c @ skip @ X0 )
!= $true )
| ( ( relati775585786_valid @ X0 @ skip @ c2 @ q )
!= $true )
| ( $true != $true ) )
| spl50_1 ),
inference(superposition,[],[f1140,f1030]) ).
thf(f1030,plain,
! [X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X0: com,X1: com,X4: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X4 @ X1 @ X0 @ X2 )
= $true )
| ( ( relati775585786_valid @ X3 @ skip @ X0 @ X2 )
!= $true )
| ( ( relati775585786_valid @ X4 @ X1 @ skip @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f923]) ).
thf(f923,plain,
! [X0: com,X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X4: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X4 @ X1 @ X0 @ X2 )
= $true )
| ( ( relati775585786_valid @ X3 @ skip @ X0 @ X2 )
!= $true )
| ( ( relati775585786_valid @ X4 @ X1 @ skip @ X3 )
!= $true ) ),
inference(flattening,[],[f922]) ).
thf(f922,plain,
! [X0: com,X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X4: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X4 @ X1 @ X0 @ X2 )
= $true )
| ( ( relati775585786_valid @ X3 @ skip @ X0 @ X2 )
!= $true )
| ( ( relati775585786_valid @ X4 @ X1 @ skip @ X3 )
!= $true ) ),
inference(ennf_transformation,[],[f849]) ).
thf(f849,plain,
! [X0: com,X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X4: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ( relati775585786_valid @ X3 @ skip @ X0 @ X2 )
= $true )
& ( ( relati775585786_valid @ X4 @ X1 @ skip @ X3 )
= $true ) )
=> ( ( relati775585786_valid @ X4 @ X1 @ X0 @ X2 )
= $true ) ),
inference(fool_elimination,[],[f848]) ).
thf(f848,plain,
! [X0: com,X1: com,X2: ( list_char > int ) > ( list_char > int ) > $o,X3: ( list_char > int ) > ( list_char > int ) > $o,X4: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X3 @ skip @ X0 @ X2 )
& ( relati775585786_valid @ X4 @ X1 @ skip @ X3 ) )
=> ( relati775585786_valid @ X4 @ X1 @ X0 @ X2 ) ),
inference(rectify,[],[f10]) ).
thf(f10,axiom,
! [X2: com,X1: com,X3: ( list_char > int ) > ( list_char > int ) > $o,X14: ( list_char > int ) > ( list_char > int ) > $o,X0: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ X14 @ skip @ X2 @ X3 )
& ( relati775585786_valid @ X0 @ X1 @ skip @ X14 ) )
=> ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_ir__valid__decomp2) ).
thf(f1140,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| spl50_1 ),
inference(trivial_inequality_removal,[],[f1139]) ).
thf(f1139,plain,
( ( ( relati775585786_valid @ p @ c @ c2 @ q )
!= $true )
| ( $true != $true )
| spl50_1 ),
inference(superposition,[],[f1126,f1063]) ).
thf(f1126,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| spl50_1 ),
inference(avatar_component_clause,[],[f1125]) ).
thf(f1138,plain,
( ~ spl50_1
| ~ spl50_3
| ~ spl50_2 ),
inference(avatar_split_clause,[],[f1020,f1129,f1134,f1125]) ).
thf(f1020,plain,
( ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
!= $true )
| ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
!= $true ) ),
inference(cnf_transformation,[],[f943]) ).
thf(f943,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 ) )
& ( ( ( 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(flattening,[],[f942]) ).
thf(f942,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 ) )
& ( ( ( 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(nnf_transformation,[],[f933]) ).
thf(f933,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 ) ),
inference(ennf_transformation,[],[f689]) ).
thf(f689,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,[],[f688]) ).
thf(f688,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/benchmark/theBenchmark.p',conj_0) ).
thf(f1137,plain,
( spl50_3
| spl50_1 ),
inference(avatar_split_clause,[],[f1018,f1125,f1134]) ).
thf(f1018,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true )
| ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
= $true ) ),
inference(cnf_transformation,[],[f943]) ).
thf(f1132,plain,
( spl50_1
| spl50_2 ),
inference(avatar_split_clause,[],[f1019,f1129,f1125]) ).
thf(f1019,plain,
( ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
= $true )
| ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
= $true ) ),
inference(cnf_transformation,[],[f943]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP167^1 : TPTP v8.2.0. Released v7.5.0.
% 0.14/0.14 % 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 : n019.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 : Sat May 18 18:42:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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/benchmark/theBenchmark.p
% 0.22/0.41 % (14245)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 theBenchmark for (2999ds/4Mi)
% 0.22/0.41 % (14247)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.41 % (14248)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.41 % (14249)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.41 % (14250)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.41 % (14247)Instruction limit reached!
% 0.22/0.41 % (14247)------------------------------
% 0.22/0.41 % (14247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (14247)Termination reason: Unknown
% 0.22/0.41 % (14247)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (14248)Instruction limit reached!
% 0.22/0.41 % (14248)------------------------------
% 0.22/0.41 % (14248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (14248)Termination reason: Unknown
% 0.22/0.41 % (14248)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (14248)Memory used [KB]: 1535
% 0.22/0.41 % (14248)Time elapsed: 0.004 s
% 0.22/0.41 % (14248)Instructions burned: 3 (million)
% 0.22/0.41 % (14248)------------------------------
% 0.22/0.41 % (14248)------------------------------
% 0.22/0.41 % (14247)Memory used [KB]: 1535
% 0.22/0.41 % (14247)Time elapsed: 0.004 s
% 0.22/0.41 % (14247)Instructions burned: 2 (million)
% 0.22/0.41 % (14247)------------------------------
% 0.22/0.41 % (14247)------------------------------
% 0.22/0.41 % (14251)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.41 % (14245)Instruction limit reached!
% 0.22/0.41 % (14245)------------------------------
% 0.22/0.41 % (14245)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (14245)Termination reason: Unknown
% 0.22/0.41 % (14246)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 theBenchmark for (2999ds/27Mi)
% 0.22/0.41 % (14245)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (14245)Memory used [KB]: 1663
% 0.22/0.41 % (14245)Time elapsed: 0.005 s
% 0.22/0.41 % (14245)Instructions burned: 4 (million)
% 0.22/0.41 % (14245)------------------------------
% 0.22/0.41 % (14245)------------------------------
% 0.22/0.41 % (14251)Instruction limit reached!
% 0.22/0.41 % (14251)------------------------------
% 0.22/0.41 % (14251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (14251)Termination reason: Unknown
% 0.22/0.41 % (14251)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (14251)Memory used [KB]: 1535
% 0.22/0.41 % (14251)Time elapsed: 0.004 s
% 0.22/0.41 % (14251)Instructions burned: 4 (million)
% 0.22/0.41 % (14251)------------------------------
% 0.22/0.41 % (14251)------------------------------
% 0.22/0.42 % (14250)Instruction limit reached!
% 0.22/0.42 % (14250)------------------------------
% 0.22/0.42 % (14250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (14250)Termination reason: Unknown
% 0.22/0.42 % (14250)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (14244)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.42 % (14250)Memory used [KB]: 1918
% 0.22/0.42 % (14250)Time elapsed: 0.013 s
% 0.22/0.42 % (14250)Instructions burned: 18 (million)
% 0.22/0.42 % (14250)------------------------------
% 0.22/0.42 % (14250)------------------------------
% 0.22/0.42 % (14253)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 theBenchmark for (2999ds/15Mi)
% 0.22/0.42 % (14254)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (14254)Instruction limit reached!
% 0.22/0.43 % (14254)------------------------------
% 0.22/0.43 % (14254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (14254)Termination reason: Unknown
% 0.22/0.43 % (14254)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (14254)Memory used [KB]: 1535
% 0.22/0.43 % (14254)Time elapsed: 0.004 s
% 0.22/0.43 % (14254)Instructions burned: 3 (million)
% 0.22/0.43 % (14254)------------------------------
% 0.22/0.43 % (14254)------------------------------
% 0.22/0.43 % (14255)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 theBenchmark for (2999ds/1041Mi)
% 0.22/0.43 % (14246)Instruction limit reached!
% 0.22/0.43 % (14246)------------------------------
% 0.22/0.43 % (14246)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (14246)Termination reason: Unknown
% 0.22/0.43 % (14246)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (14246)Memory used [KB]: 2046
% 0.22/0.43 % (14246)Time elapsed: 0.021 s
% 0.22/0.43 % (14246)Instructions burned: 28 (million)
% 0.22/0.43 % (14246)------------------------------
% 0.22/0.43 % (14246)------------------------------
% 0.22/0.43 % (14253)Instruction limit reached!
% 0.22/0.43 % (14253)------------------------------
% 0.22/0.43 % (14253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (14253)Termination reason: Unknown
% 0.22/0.43 % (14253)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (14253)Memory used [KB]: 1791
% 0.22/0.43 % (14253)Time elapsed: 0.012 s
% 0.22/0.43 % (14253)Instructions burned: 16 (million)
% 0.22/0.43 % (14253)------------------------------
% 0.22/0.43 % (14253)------------------------------
% 0.22/0.43 % (14256)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (14256)Instruction limit reached!
% 0.22/0.44 % (14256)------------------------------
% 0.22/0.44 % (14256)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (14256)Termination reason: Unknown
% 0.22/0.44 % (14256)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (14256)Memory used [KB]: 1663
% 0.22/0.44 % (14256)Time elapsed: 0.007 s
% 0.22/0.44 % (14256)Instructions burned: 8 (million)
% 0.22/0.44 % (14256)------------------------------
% 0.22/0.44 % (14256)------------------------------
% 0.22/0.44 % (14257)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.44 % (14258)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 theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (14258)Instruction limit reached!
% 0.22/0.44 % (14258)------------------------------
% 0.22/0.44 % (14258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (14258)Termination reason: Unknown
% 0.22/0.44 % (14258)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (14258)Memory used [KB]: 1535
% 0.22/0.44 % (14258)Time elapsed: 0.004 s
% 0.22/0.44 % (14258)Instructions burned: 3 (million)
% 0.22/0.44 % (14258)------------------------------
% 0.22/0.44 % (14258)------------------------------
% 0.22/0.44 % (14252)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 theBenchmark for (2999ds/37Mi)
% 0.22/0.45 % (14259)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 theBenchmark for (2999ds/3Mi)
% 0.22/0.45 % (14259)Instruction limit reached!
% 0.22/0.45 % (14259)------------------------------
% 0.22/0.45 % (14259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (14259)Termination reason: Unknown
% 0.22/0.45 % (14259)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (14259)Memory used [KB]: 1535
% 0.22/0.45 % (14259)Time elapsed: 0.004 s
% 0.22/0.45 % (14259)Instructions burned: 3 (million)
% 0.22/0.45 % (14259)------------------------------
% 0.22/0.45 % (14259)------------------------------
% 0.22/0.45 % (14257)Instruction limit reached!
% 0.22/0.45 % (14257)------------------------------
% 0.22/0.45 % (14257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (14257)Termination reason: Unknown
% 0.22/0.45 % (14257)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (14257)Memory used [KB]: 1791
% 0.22/0.45 % (14257)Time elapsed: 0.012 s
% 0.22/0.45 % (14257)Instructions burned: 16 (million)
% 0.22/0.45 % (14257)------------------------------
% 0.22/0.45 % (14257)------------------------------
% 0.22/0.45 % (14260)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.46 % (14261)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.46 % (14260)Instruction limit reached!
% 0.22/0.46 % (14260)------------------------------
% 0.22/0.46 % (14260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (14260)Termination reason: Unknown
% 0.22/0.46 % (14260)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (14260)Memory used [KB]: 1663
% 0.22/0.46 % (14260)Time elapsed: 0.007 s
% 0.22/0.46 % (14260)Instructions burned: 8 (million)
% 0.22/0.46 % (14260)------------------------------
% 0.22/0.46 % (14260)------------------------------
% 0.22/0.46 % (14261)Instruction limit reached!
% 0.22/0.46 % (14261)------------------------------
% 0.22/0.46 % (14261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (14261)Termination reason: Unknown
% 0.22/0.46 % (14261)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (14261)Memory used [KB]: 1535
% 0.22/0.46 % (14261)Time elapsed: 0.004 s
% 0.22/0.46 % (14261)Instructions burned: 3 (million)
% 0.22/0.46 % (14261)------------------------------
% 0.22/0.46 % (14261)------------------------------
% 0.22/0.46 % (14252)Instruction limit reached!
% 0.22/0.46 % (14252)------------------------------
% 0.22/0.46 % (14252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (14252)Termination reason: Unknown
% 0.22/0.46 % (14252)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (14252)Memory used [KB]: 2302
% 0.22/0.46 % (14252)Time elapsed: 0.021 s
% 0.22/0.46 % (14252)Instructions burned: 38 (million)
% 0.22/0.46 % (14252)------------------------------
% 0.22/0.46 % (14252)------------------------------
% 0.22/0.46 % (14262)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.46 % (14263)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.47 % (14262)Instruction limit reached!
% 0.22/0.47 % (14262)------------------------------
% 0.22/0.47 % (14262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (14262)Termination reason: Unknown
% 0.22/0.47 % (14262)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (14262)Memory used [KB]: 1535
% 0.22/0.47 % (14262)Time elapsed: 0.005 s
% 0.22/0.47 % (14262)Instructions burned: 5 (million)
% 0.22/0.47 % (14262)------------------------------
% 0.22/0.47 % (14262)------------------------------
% 0.22/0.47 % (14264)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.47 % (14265)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.22/0.48 % (14263)Instruction limit reached!
% 0.22/0.48 % (14263)------------------------------
% 0.22/0.48 % (14263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (14263)Termination reason: Unknown
% 0.22/0.48 % (14263)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (14263)Memory used [KB]: 1918
% 0.22/0.48 % (14263)Time elapsed: 0.014 s
% 0.22/0.48 % (14263)Instructions burned: 19 (million)
% 0.22/0.48 % (14263)------------------------------
% 0.22/0.48 % (14263)------------------------------
% 0.22/0.48 % (14266)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 theBenchmark for (2998ds/902Mi)
% 0.22/0.48 % (14249)First to succeed.
% 0.22/0.48 % (14265)Instruction limit reached!
% 0.22/0.48 % (14265)------------------------------
% 0.22/0.48 % (14265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (14265)Termination reason: Unknown
% 0.22/0.48 % (14265)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (14265)Memory used [KB]: 1663
% 0.22/0.48 % (14265)Time elapsed: 0.006 s
% 0.22/0.48 % (14265)Instructions burned: 6 (million)
% 0.22/0.48 % (14265)------------------------------
% 0.22/0.48 % (14265)------------------------------
% 0.22/0.48 % (14267)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 theBenchmark for (2998ds/21Mi)
% 0.22/0.48 % (14249)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49 % (14249)------------------------------
% 0.22/0.49 % (14249)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (14249)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (14249)Memory used [KB]: 7291
% 0.22/0.49 % (14249)Time elapsed: 0.077 s
% 0.22/0.49 % (14249)Instructions burned: 123 (million)
% 0.22/0.49 % (14249)------------------------------
% 0.22/0.49 % (14249)------------------------------
% 0.22/0.49 % (14243)Success in time 0.122 s
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------