%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW474^1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:40:19 AM UTC 2026
% Result : Theorem 1.20s 0.49s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 87 ( 30 unt; 0 typ; 8 def)
% Number of atoms : 417 ( 90 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 441 ( 79 ~; 69 |; 0 &; 264 @)
% ( 8 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 137 ( 134 usr; 14 con; 0-4 aty)
% Number of variables : 64 ( 0 sgn 54 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
com: $tType ).
thf(type_def_6,type,
pname: $tType ).
thf(type_def_7,type,
hoare_1262092251_state: $tType ).
thf(type_def_8,type,
option_com: $tType ).
thf(type_def_9,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
wt: com > $o ).
thf(func_def_1,type,
wT_bodies: $o ).
thf(func_def_2,type,
body: pname > option_com ).
thf(func_def_3,type,
body_1: pname > com ).
thf(func_def_4,type,
finite1648353812_o_o_o: ( ( ( ( pname > $o ) > $o ) > $o ) > $o ) > $o ).
thf(func_def_5,type,
finite734360985_o_o_o: ( ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > $o ) > $o ).
thf(func_def_6,type,
finite1066544169me_o_o: ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(func_def_7,type,
finite1303896758te_o_o: ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > $o ).
thf(func_def_8,type,
finite297249702name_o: ( ( pname > $o ) > $o ) > $o ).
thf(func_def_9,type,
finite1423311111tate_o: ( ( hoare_1262092251_state > $o ) > $o ) > $o ).
thf(func_def_10,type,
finite_finite_pname: ( pname > $o ) > $o ).
thf(func_def_11,type,
finite1178804552_state: ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_12,type,
hoare_Mirabelle_MGT: com > hoare_1262092251_state ).
thf(func_def_13,type,
hoare_930741239_state: ( hoare_1262092251_state > $o ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_14,type,
hoare_1821564147gleton: $o ).
thf(func_def_15,type,
dom_pname_o_com: ( ( pname > $o ) > option_com ) > ( pname > $o ) > $o ).
thf(func_def_16,type,
dom_Ho1489634536_o_com: ( ( hoare_1262092251_state > $o ) > option_com ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_17,type,
dom_pname_com: ( pname > option_com ) > pname > $o ).
thf(func_def_18,type,
some_com: com > option_com ).
thf(func_def_19,type,
the_com: option_com > com ).
thf(func_def_20,type,
bot_bot_pname_o_o_o: ( ( pname > $o ) > $o ) > $o ).
thf(func_def_21,type,
bot_bo388435036_o_o_o: ( ( hoare_1262092251_state > $o ) > $o ) > $o ).
thf(func_def_22,type,
bot_bot_pname_o_o: ( pname > $o ) > $o ).
thf(func_def_23,type,
bot_bo1962689075te_o_o: ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_24,type,
bot_bot_pname_o: pname > $o ).
thf(func_def_25,type,
bot_bo113204042tate_o: hoare_1262092251_state > $o ).
thf(func_def_26,type,
ord_le1828183645_o_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(func_def_27,type,
ord_le1891858320_o_o_o: ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > $o ).
thf(func_def_28,type,
ord_le1205211808me_o_o: ( ( pname > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_29,type,
ord_le2012720639te_o_o: ( ( hoare_1262092251_state > $o ) > $o ) > ( ( hoare_1262092251_state > $o ) > $o ) > $o ).
thf(func_def_30,type,
ord_less_eq_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_31,type,
ord_le870406270tate_o: ( hoare_1262092251_state > $o ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_32,type,
collect_pname_o_o_o: ( ( ( ( pname > $o ) > $o ) > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > $o ).
thf(func_def_33,type,
collec101077467_o_o_o: ( ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > $o ) > ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > $o ).
thf(func_def_34,type,
collect_pname_o_o: ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_35,type,
collec341954548te_o_o: ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > ( ( hoare_1262092251_state > $o ) > $o ) > $o ).
thf(func_def_36,type,
collect_pname_o: ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_37,type,
collec313158217tate_o: ( ( hoare_1262092251_state > $o ) > $o ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_38,type,
collect_pname: ( pname > $o ) > pname > $o ).
thf(func_def_39,type,
collec1121927558_state: ( hoare_1262092251_state > $o ) > hoare_1262092251_state > $o ).
thf(func_def_40,type,
image_471733107_pname: ( ( ( pname > $o ) > $o ) > pname ) > ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_41,type,
image_1036078444_state: ( ( ( pname > $o ) > $o ) > hoare_1262092251_state ) > ( ( ( pname > $o ) > $o ) > $o ) > hoare_1262092251_state > $o ).
thf(func_def_42,type,
image_893364936_pname: ( ( ( hoare_1262092251_state > $o ) > $o ) > pname ) > ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_43,type,
image_165349207_state: ( ( ( hoare_1262092251_state > $o ) > $o ) > hoare_1262092251_state ) > ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > hoare_1262092251_state > $o ).
thf(func_def_44,type,
image_pname_o_pname: ( ( pname > $o ) > pname ) > ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_45,type,
image_1476171975_state: ( ( pname > $o ) > hoare_1262092251_state ) > ( ( pname > $o ) > $o ) > hoare_1262092251_state > $o ).
thf(func_def_46,type,
image_1820530197_pname: ( ( hoare_1262092251_state > $o ) > pname ) > ( ( hoare_1262092251_state > $o ) > $o ) > pname > $o ).
thf(func_def_47,type,
image_234589002_state: ( ( hoare_1262092251_state > $o ) > hoare_1262092251_state ) > ( ( hoare_1262092251_state > $o ) > $o ) > hoare_1262092251_state > $o ).
thf(func_def_48,type,
image_504089495me_o_o: ( pname > ( pname > $o ) > $o ) > ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_49,type,
image_827868872te_o_o: ( pname > ( hoare_1262092251_state > $o ) > $o ) > ( pname > $o ) > ( ( hoare_1262092251_state > $o ) > $o ) > $o ).
thf(func_def_50,type,
image_pname_pname_o: ( pname > pname > $o ) > ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_51,type,
image_518521461tate_o: ( pname > hoare_1262092251_state > $o ) > ( pname > $o ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_52,type,
image_pname_pname: ( pname > pname ) > ( pname > $o ) > pname > $o ).
thf(func_def_53,type,
image_669833818_state: ( pname > hoare_1262092251_state ) > ( pname > $o ) > hoare_1262092251_state > $o ).
thf(func_def_54,type,
image_333245000me_o_o: ( hoare_1262092251_state > ( pname > $o ) > $o ) > ( hoare_1262092251_state > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_55,type,
image_1731108951te_o_o: ( hoare_1262092251_state > ( hoare_1262092251_state > $o ) > $o ) > ( hoare_1262092251_state > $o ) > ( ( hoare_1262092251_state > $o ) > $o ) > $o ).
thf(func_def_56,type,
image_1320925383name_o: ( hoare_1262092251_state > pname > $o ) > ( hoare_1262092251_state > $o ) > ( pname > $o ) > $o ).
thf(func_def_57,type,
image_1403668518tate_o: ( hoare_1262092251_state > hoare_1262092251_state > $o ) > ( hoare_1262092251_state > $o ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_58,type,
image_202231862_pname: ( hoare_1262092251_state > pname ) > ( hoare_1262092251_state > $o ) > pname > $o ).
thf(func_def_59,type,
insert_pname_o_o: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_60,type,
insert1691644879te_o_o: ( ( hoare_1262092251_state > $o ) > $o ) > ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > ( ( hoare_1262092251_state > $o ) > $o ) > $o ).
thf(func_def_61,type,
insert_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_62,type,
insert1042460334tate_o: ( hoare_1262092251_state > $o ) > ( ( hoare_1262092251_state > $o ) > $o ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_63,type,
insert_pname: pname > ( pname > $o ) > pname > $o ).
thf(func_def_64,type,
insert81609953_state: hoare_1262092251_state > ( hoare_1262092251_state > $o ) > hoare_1262092251_state > $o ).
thf(func_def_65,type,
fequal_pname_o: ( pname > $o ) > ( pname > $o ) > $o ).
thf(func_def_66,type,
fequal1529404211tate_o: ( hoare_1262092251_state > $o ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_67,type,
fequal_pname: pname > pname > $o ).
thf(func_def_68,type,
fequal1925511196_state: hoare_1262092251_state > hoare_1262092251_state > $o ).
thf(func_def_69,type,
member_pname_o: ( pname > $o ) > ( ( pname > $o ) > $o ) > $o ).
thf(func_def_70,type,
member907417095tate_o: ( hoare_1262092251_state > $o ) > ( ( hoare_1262092251_state > $o ) > $o ) > $o ).
thf(func_def_71,type,
member_pname: pname > ( pname > $o ) > $o ).
thf(func_def_72,type,
member5164104_state: hoare_1262092251_state > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_73,type,
fa: hoare_1262092251_state > $o ).
thf(func_def_74,type,
pn: pname ).
thf(func_def_75,type,
y: com ).
thf(func_def_77,type,
vAND: $o > $o > $o ).
thf(func_def_78,type,
vIMP: $o > $o > $o ).
thf(func_def_79,type,
vNOT: $o > $o ).
thf(func_def_80,type,
vOR: $o > $o > $o ).
thf(func_def_83,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_84,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_85,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_86,type,
sK0: ( pname > $o ) > ( pname > $o ) > pname ).
thf(func_def_87,type,
sK1: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_88,type,
sK2: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_89,type,
sK3: ( hoare_1262092251_state > $o ) > hoare_1262092251_state ).
thf(func_def_90,type,
sK4: ( pname > $o ) > pname ).
thf(func_def_91,type,
sK5: ( ( pname > $o ) > $o ) > ( pname > $o ) > pname > $o ).
thf(func_def_92,type,
sK6: ( ( pname > $o ) > $o ) > ( pname > $o ) > pname ).
thf(func_def_93,type,
sK7: ( hoare_1262092251_state > $o ) > ( pname > hoare_1262092251_state ) > ( pname > $o ) > pname > $o ).
thf(func_def_94,type,
sK8: pname > com ).
thf(func_def_95,type,
sK9: ( ( hoare_1262092251_state > $o ) > $o ) > hoare_1262092251_state > $o ).
thf(func_def_96,type,
sK10: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > pname > $o ).
thf(func_def_97,type,
sK11: ( ( pname > $o ) > $o ) > ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_98,type,
sK12: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_99,type,
sK13: ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_100,type,
sK14: ( pname > $o ) > pname ).
thf(func_def_101,type,
sK15: ( ( pname > $o ) > $o ) > pname > $o ).
thf(func_def_102,type,
sK16: ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_103,type,
sK17: ( ( hoare_1262092251_state > $o ) > $o ) > hoare_1262092251_state > $o ).
thf(func_def_104,type,
sK18: ( hoare_1262092251_state > $o ) > ( hoare_1262092251_state > $o ) > hoare_1262092251_state ).
thf(func_def_105,type,
sK19: ( hoare_1262092251_state > $o ) > hoare_1262092251_state ).
thf(func_def_106,type,
sK20: ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_107,type,
sK21: ( pname > $o ) > pname ).
thf(func_def_108,type,
sK22: ( hoare_1262092251_state > $o ) > pname ).
thf(func_def_109,type,
sK23: ( pname > $o ) > ( hoare_1262092251_state > $o ) > ( pname > hoare_1262092251_state ) > pname > $o ).
thf(func_def_110,type,
sK24: ( ( hoare_1262092251_state > $o ) > $o ) > ( hoare_1262092251_state > $o ) > hoare_1262092251_state ).
thf(func_def_111,type,
sK25: ( ( hoare_1262092251_state > $o ) > $o ) > ( hoare_1262092251_state > $o ) > hoare_1262092251_state > $o ).
thf(func_def_112,type,
sK26: ( hoare_1262092251_state > $o ) > hoare_1262092251_state ).
thf(func_def_113,type,
sK27: hoare_1262092251_state > ( pname > hoare_1262092251_state ) > ( pname > $o ) > pname ).
thf(func_def_114,type,
sK28: ( ( ( pname > $o ) > $o ) > $o ) > ( pname > $o ) > $o ).
thf(func_def_115,type,
sK29: ( pname > $o ) > pname ).
thf(func_def_116,type,
sK30: ( hoare_1262092251_state > $o ) > hoare_1262092251_state ).
thf(func_def_117,type,
sK31: ( pname > hoare_1262092251_state ) > hoare_1262092251_state > ( pname > $o ) > pname ).
thf(func_def_118,type,
sK32: ( ( hoare_1262092251_state > $o ) > $o ) > hoare_1262092251_state > $o ).
thf(func_def_119,type,
sK33: ( ( hoare_1262092251_state > $o ) > $o ) > hoare_1262092251_state > $o ).
thf(func_def_120,type,
sK34: ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > ( ( hoare_1262092251_state > $o ) > $o ) > hoare_1262092251_state > $o ).
thf(func_def_121,type,
sK35: ( ( ( hoare_1262092251_state > $o ) > $o ) > $o ) > ( ( hoare_1262092251_state > $o ) > $o ) > ( hoare_1262092251_state > $o ) > $o ).
thf(func_def_123,type,
inv_body_1_37: com > pname ).
thf(func_def_124,type,
sK38: hoare_1262092251_state > ( hoare_1262092251_state > $o ) > hoare_1262092251_state ).
thf(func_def_125,type,
sK39: ( pname > $o ) > ( pname > hoare_1262092251_state ) > hoare_1262092251_state ).
thf(func_def_126,type,
sK40: hoare_1262092251_state > hoare_1262092251_state > hoare_1262092251_state ).
thf(func_def_127,type,
sK41: hoare_1262092251_state > hoare_1262092251_state > hoare_1262092251_state > hoare_1262092251_state > hoare_1262092251_state ).
thf(func_def_128,type,
sK42: hoare_1262092251_state > hoare_1262092251_state > hoare_1262092251_state > hoare_1262092251_state > hoare_1262092251_state ).
thf(f1,axiom,
! [X0: hoare_1262092251_state > $o] : ( hoare_930741239_state @ X0 @ bot_bo113204042tate_o ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_empty) ).
thf(f5,axiom,
! [X2: hoare_1262092251_state > $o,X0: hoare_1262092251_state > $o,X1: hoare_1262092251_state > $o] :
( ( hoare_930741239_state @ X1 @ X2 )
=> ( ( hoare_930741239_state @ X0 @ X1 )
=> ( hoare_930741239_state @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cut) ).
thf(f104,axiom,
! [X0: com] :
( hoare_1821564147gleton
=> ( wT_bodies
=> ( ( wt @ X0 )
=> ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo113204042tate_o ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_MGF) ).
thf(f289,axiom,
! [X1: com,X0: pname] :
( wT_bodies
=> ( ( ( body @ X0 )
= ( some_com @ X1 ) )
=> ( wt @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_288_WT__bodiesD) ).
thf(f309,axiom,
hoare_1821564147gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f310,axiom,
wT_bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f314,axiom,
( ( body @ pn )
= ( some_com @ y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
thf(f316,conjecture,
( hoare_930741239_state
@ ( image_669833818_state
@ ^ [X0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ X0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_7) ).
thf(f317,negated_conjecture,
~ ( hoare_930741239_state
@ ( image_669833818_state
@ ^ [X0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ X0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) ),
inference(negated_conjecture,[status(cth)],[f316]) ).
thf(f350,plain,
~ ( hoare_930741239_state
@ ( image_669833818_state
@ ^ [X0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ X0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) ),
inference(rectify,[],[f317]) ).
thf(f351,plain,
( ( hoare_930741239_state
@ ( image_669833818_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) )
!= $true ),
inference(fool_elimination,[],[f350]) ).
thf(f464,plain,
hoare_1821564147gleton,
inference(rectify,[],[f309]) ).
thf(f465,plain,
hoare_1821564147gleton = $true,
inference(fool_elimination,[],[f464]) ).
thf(f604,plain,
! [X0: com] :
( hoare_1821564147gleton
=> ( wT_bodies
=> ( ( wt @ X0 )
=> ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo113204042tate_o ) ) ) ) ),
inference(rectify,[],[f104]) ).
thf(f605,plain,
! [X0: com] :
( ( hoare_1821564147gleton = $true )
=> ( ( wT_bodies = $true )
=> ( ( ( wt @ X0 )
= $true )
=> ( ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo113204042tate_o ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f604]) ).
thf(f628,plain,
! [X0: hoare_1262092251_state > $o] : ( hoare_930741239_state @ X0 @ bot_bo113204042tate_o ),
inference(rectify,[],[f1]) ).
thf(f629,plain,
! [X0: hoare_1262092251_state > $o] :
( ( hoare_930741239_state @ X0 @ bot_bo113204042tate_o )
= $true ),
inference(fool_elimination,[],[f628]) ).
thf(f654,plain,
! [X0: com,X1: pname] :
( wT_bodies
=> ( ( ( some_com @ X0 )
= ( body @ X1 ) )
=> ( wt @ X0 ) ) ),
inference(rectify,[],[f289]) ).
thf(f655,plain,
! [X0: com,X1: pname] :
( ( wT_bodies = $true )
=> ( ( ( some_com @ X0 )
= ( body @ X1 ) )
=> ( ( wt @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f654]) ).
thf(f710,plain,
! [X0: hoare_1262092251_state > $o,X1: hoare_1262092251_state > $o,X2: hoare_1262092251_state > $o] :
( ( hoare_930741239_state @ X2 @ X0 )
=> ( ( hoare_930741239_state @ X1 @ X2 )
=> ( hoare_930741239_state @ X1 @ X0 ) ) ),
inference(rectify,[],[f5]) ).
thf(f711,plain,
! [X1: hoare_1262092251_state > $o,X2: hoare_1262092251_state > $o,X0: hoare_1262092251_state > $o] :
( ( ( hoare_930741239_state @ X2 @ X0 )
= $true )
=> ( ( ( hoare_930741239_state @ X1 @ X2 )
= $true )
=> ( ( hoare_930741239_state @ X1 @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f710]) ).
thf(f770,plain,
wT_bodies,
inference(rectify,[],[f310]) ).
thf(f771,plain,
wT_bodies = $true,
inference(fool_elimination,[],[f770]) ).
thf(f896,plain,
( ( hoare_930741239_state
@ ( image_669833818_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) )
!= $true ),
inference(flattening,[],[f351]) ).
thf(f1021,plain,
! [X0: com] :
( ( ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo113204042tate_o ) )
= $true )
| ( ( wt @ X0 )
!= $true )
| ( wT_bodies != $true )
| ( hoare_1821564147gleton != $true ) ),
inference(ennf_transformation,[],[f605]) ).
thf(f1022,plain,
! [X0: com] :
( ( ( wt @ X0 )
!= $true )
| ( hoare_1821564147gleton != $true )
| ( wT_bodies != $true )
| ( ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo113204042tate_o ) )
= $true ) ),
inference(flattening,[],[f1021]) ).
thf(f1109,plain,
! [X1: hoare_1262092251_state > $o,X2: hoare_1262092251_state > $o,X0: hoare_1262092251_state > $o] :
( ( ( hoare_930741239_state @ X1 @ X0 )
= $true )
| ( ( hoare_930741239_state @ X1 @ X2 )
!= $true )
| ( ( hoare_930741239_state @ X2 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f711]) ).
thf(f1110,plain,
! [X0: hoare_1262092251_state > $o,X2: hoare_1262092251_state > $o,X1: hoare_1262092251_state > $o] :
( ( ( hoare_930741239_state @ X1 @ X0 )
= $true )
| ( ( hoare_930741239_state @ X1 @ X2 )
!= $true )
| ( ( hoare_930741239_state @ X2 @ X0 )
!= $true ) ),
inference(flattening,[],[f1109]) ).
thf(f1190,plain,
! [X0: com,X1: pname] :
( ( ( wt @ X0 )
= $true )
| ( ( some_com @ X0 )
!= ( body @ X1 ) )
| ( wT_bodies != $true ) ),
inference(ennf_transformation,[],[f655]) ).
thf(f1191,plain,
! [X1: pname,X0: com] :
( ( ( wt @ X0 )
= $true )
| ( ( some_com @ X0 )
!= ( body @ X1 ) )
| ( wT_bodies != $true ) ),
inference(flattening,[],[f1190]) ).
thf(f1283,plain,
! [X0: pname,X1: com] :
( ( ( wt @ X1 )
= $true )
| ( ( body @ X0 )
!= ( some_com @ X1 ) )
| ( wT_bodies != $true ) ),
inference(rectify,[],[f1191]) ).
thf(f1331,plain,
! [X0: hoare_1262092251_state > $o,X1: hoare_1262092251_state > $o,X2: hoare_1262092251_state > $o] :
( ( ( hoare_930741239_state @ X2 @ X0 )
= $true )
| ( $true
!= ( hoare_930741239_state @ X2 @ X1 ) )
| ( ( hoare_930741239_state @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f1110]) ).
thf(f1568,plain,
! [X0: pname,X1: com] :
( ( wT_bodies != $true )
| ( ( wt @ X1 )
= $true )
| ( ( body @ X0 )
!= ( some_com @ X1 ) ) ),
inference(cnf_transformation,[],[f1283]) ).
thf(f1583,plain,
! [X0: com] :
( ( ( wt @ X0 )
!= $true )
| ( ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo113204042tate_o ) )
= $true )
| ( hoare_1821564147gleton != $true )
| ( wT_bodies != $true ) ),
inference(cnf_transformation,[],[f1022]) ).
thf(f1593,plain,
hoare_1821564147gleton = $true,
inference(cnf_transformation,[],[f465]) ).
thf(f1649,plain,
! [X2: hoare_1262092251_state > $o,X0: hoare_1262092251_state > $o,X1: hoare_1262092251_state > $o] :
( ( ( hoare_930741239_state @ X2 @ X0 )
= $true )
| ( $true
!= ( hoare_930741239_state @ X2 @ X1 ) )
| ( ( hoare_930741239_state @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f1331]) ).
thf(f1662,plain,
( ( hoare_930741239_state
@ ( image_669833818_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) )
!= $true ),
inference(cnf_transformation,[],[f896]) ).
thf(f1700,plain,
wT_bodies = $true,
inference(cnf_transformation,[],[f771]) ).
thf(f1736,plain,
! [X0: hoare_1262092251_state > $o] :
( ( hoare_930741239_state @ X0 @ bot_bo113204042tate_o )
= $true ),
inference(cnf_transformation,[],[f629]) ).
thf(f1842,plain,
( ( body @ pn )
= ( some_com @ y ) ),
inference(cnf_transformation,[],[f314]) ).
thf(f2020,definition,
( spl36_1
<=> ( ( body @ pn )
= ( some_com @ y ) ) ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
thf(f2022,plain,
( ( ( body @ pn )
= ( some_com @ y ) )
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f2020]) ).
thf(f2023,plain,
spl36_1,
inference(avatar_split_clause,[],[f1842,f2020]) ).
thf(f2053,definition,
( spl36_8
<=> ( hoare_1821564147gleton = $true ) ),
introduced(definition,[new_symbols(definition,[spl36_8])],[avatar_definition]) ).
thf(f2077,definition,
( spl36_13
<=> ( wT_bodies = $true ) ),
introduced(definition,[new_symbols(definition,[spl36_13])],[avatar_definition]) ).
thf(f2080,plain,
spl36_13,
inference(avatar_split_clause,[],[f1700,f2077]) ).
thf(f2087,definition,
( spl36_15
<=> ! [X0: com] :
( ( ( wt @ X0 )
!= $true )
| ( ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo113204042tate_o ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl36_15])],[avatar_definition]) ).
thf(f2088,plain,
( ! [X0: com] :
( ( ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo113204042tate_o ) )
= $true )
| ( ( wt @ X0 )
!= $true ) )
| ~ spl36_15 ),
inference(avatar_component_clause,[],[f2087]) ).
thf(f2089,plain,
( ~ spl36_8
| spl36_15
| ~ spl36_13 ),
inference(avatar_split_clause,[],[f1583,f2077,f2087,f2053]) ).
thf(f2091,definition,
( spl36_16
<=> ! [X0: pname,X1: com] :
( ( ( wt @ X1 )
= $true )
| ( ( body @ X0 )
!= ( some_com @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl36_16])],[avatar_definition]) ).
thf(f2092,plain,
( ! [X0: pname,X1: com] :
( ( ( body @ X0 )
!= ( some_com @ X1 ) )
| ( ( wt @ X1 )
= $true ) )
| ~ spl36_16 ),
inference(avatar_component_clause,[],[f2091]) ).
thf(f2093,plain,
( spl36_16
| ~ spl36_13 ),
inference(avatar_split_clause,[],[f1568,f2077,f2091]) ).
thf(f2110,definition,
( spl36_20
<=> ( ( hoare_930741239_state
@ ( image_669833818_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl36_20])],[avatar_definition]) ).
thf(f2112,plain,
( ( ( hoare_930741239_state
@ ( image_669833818_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) )
!= $true )
| spl36_20 ),
inference(avatar_component_clause,[],[f2110]) ).
thf(f2113,plain,
~ spl36_20,
inference(avatar_split_clause,[],[f1662,f2110]) ).
thf(f2119,plain,
spl36_8,
inference(avatar_split_clause,[],[f1593,f2053]) ).
thf(f2148,plain,
( ! [X0: com] :
( ( ( some_com @ y )
!= ( some_com @ X0 ) )
| ( ( wt @ X0 )
= $true ) )
| ~ spl36_1
| ~ spl36_16 ),
inference(superposition,[],[f2092,f2022]) ).
thf(f2183,plain,
( ! [X0: hoare_1262092251_state > $o] :
( ( $true != $true )
| ( ( hoare_930741239_state
@ ( image_669833818_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ X0 )
!= $true )
| ( $true
!= ( hoare_930741239_state @ X0 @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) ) ) )
| spl36_20 ),
inference(superposition,[],[f2112,f1649]) ).
thf(f2185,plain,
( ! [X0: hoare_1262092251_state > $o] :
( ( ( hoare_930741239_state
@ ( image_669833818_state
@ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
@ ( dom_pname_com @ body ) )
@ X0 )
!= $true )
| ( $true
!= ( hoare_930741239_state @ X0 @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) ) ) )
| spl36_20 ),
inference(trivial_inequality_removal,[],[f2183]) ).
thf(f2251,definition,
( spl36_30
<=> ( ( wt @ y )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl36_30])],[avatar_definition]) ).
thf(f2256,plain,
( ( $true != $true )
| ( ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) )
!= $true )
| spl36_20 ),
inference(superposition,[],[f2185,f1736]) ).
thf(f2268,plain,
( ( ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) )
!= $true )
| spl36_20 ),
inference(trivial_inequality_removal,[],[f2256]) ).
thf(f2275,definition,
( spl36_32
<=> ( ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl36_32])],[avatar_definition]) ).
thf(f2277,plain,
( ( ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) )
!= $true )
| spl36_32 ),
inference(avatar_component_clause,[],[f2275]) ).
thf(f2278,plain,
( ~ spl36_32
| spl36_20 ),
inference(avatar_split_clause,[],[f2268,f2110,f2275]) ).
thf(f2314,plain,
( ( ( wt @ y )
!= $true )
| ( $true != $true )
| ~ spl36_15
| spl36_32 ),
inference(superposition,[],[f2277,f2088]) ).
thf(f2326,plain,
( ( ( wt @ y )
!= $true )
| ~ spl36_15
| spl36_32 ),
inference(trivial_inequality_removal,[],[f2314]) ).
thf(f2336,plain,
( ( ( wt @ y )
= $true )
| ~ spl36_1
| ~ spl36_16 ),
inference(equality_resolution,[],[f2148]) ).
thf(f2344,plain,
( spl36_30
| ~ spl36_1
| ~ spl36_16 ),
inference(avatar_split_clause,[],[f2336,f2091,f2020,f2251]) ).
thf(f2345,plain,
( ~ spl36_30
| ~ spl36_15
| spl36_32 ),
inference(avatar_split_clause,[],[f2326,f2275,f2087,f2251]) ).
cnf(s1,plain,
spl36_1,
inference(sat_conversion,[],[f2023]) ).
cnf(s12,plain,
spl36_13,
inference(sat_conversion,[],[f2080]) ).
cnf(s14,plain,
( ~ spl36_8
| ~ spl36_13
| spl36_15 ),
inference(sat_conversion,[],[f2089]) ).
cnf(s15,plain,
( ~ spl36_13
| spl36_16 ),
inference(sat_conversion,[],[f2093]) ).
cnf(s19,plain,
~ spl36_20,
inference(sat_conversion,[],[f2113]) ).
cnf(s21,plain,
spl36_8,
inference(sat_conversion,[],[f2119]) ).
cnf(s33,plain,
( spl36_20
| ~ spl36_32 ),
inference(sat_conversion,[],[f2278]) ).
cnf(s37,plain,
( ~ spl36_1
| ~ spl36_16
| spl36_30 ),
inference(sat_conversion,[],[f2344]) ).
cnf(s38,plain,
( ~ spl36_15
| ~ spl36_30
| spl36_32 ),
inference(sat_conversion,[],[f2345]) ).
cnf(s39,plain,
~ spl36_32,
inference(rat,[],[s33,s19]) ).
cnf(s42,plain,
( ~ spl36_13
| spl36_15 ),
inference(rat,[],[s14,s21]) ).
cnf(s43,plain,
spl36_16,
inference(rat,[],[s15,s12]) ).
cnf(s44,plain,
spl36_15,
inference(rat,[],[s42,s12]) ).
cnf(s45,plain,
~ spl36_30,
inference(rat,[],[s38,s39,s44]) ).
cnf(s46,plain,
~ spl36_1,
inference(rat,[],[s37,s43,s45]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s1,s46]) ).
thf(f2346,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW474^1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n006.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 16:05:40 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.28 Running higher-order theorem proving
% 0.26/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.20/0.49 % (915358)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.20/0.49 % (915363)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1832837084:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.20/0.49 % (915366)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3200926865:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 1.20/0.49 % (915369)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.20/0.49 % (915369)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.20/0.49 % (915364)lrs+10_16_si=on:nwc=1.5:random_seed=3698211198:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.20/0.49 % (915367)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4094041965:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.20/0.49 % (915365)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1947507826:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.20/0.49 % (915368)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3145479684:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.20/0.49 % (915369)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=638110700:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.20/0.49 % (915365)Instruction limit reached!
% 1.20/0.49 % (915365)------------------------------
% 1.20/0.49 % (915365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915365)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915365)Termination reason: Instruction limit
% 1.20/0.49 % (915365)Termination phase: shuffling
% 1.20/0.49 % (915365)Time elapsed: 0.003 s
% 1.20/0.49 % (915365)Peak memory usage: 10 MB
% 1.20/0.49 % (915365)Instructions burned: 3 (million)
% 1.20/0.49 % (915364)Instruction limit reached!
% 1.20/0.49 % (915364)------------------------------
% 1.20/0.49 % (915364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915364)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915364)Termination reason: Instruction limit
% 1.20/0.49 % (915364)Termination phase: shuffling
% 1.20/0.49 % (915364)Time elapsed: 0.015 s
% 1.20/0.49 % (915364)Peak memory usage: 10 MB
% 1.20/0.49 % (915364)Instructions burned: 18 (million)
% 1.20/0.49 % (915367)Instruction limit reached!
% 1.20/0.49 % (915367)------------------------------
% 1.20/0.49 % (915367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915367)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915367)Termination reason: Instruction limit
% 1.20/0.49 % (915367)Termination phase: Property scanning
% 1.20/0.49 % (915367)Time elapsed: 0.021 s
% 1.20/0.49 % (915367)Peak memory usage: 10 MB
% 1.20/0.49 % (915367)Instructions burned: 25 (million)
% 1.20/0.49 % (915363)Instruction limit reached!
% 1.20/0.49 % (915363)------------------------------
% 1.20/0.49 % (915363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915363)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915363)Termination reason: Instruction limit
% 1.20/0.49 % (915363)Termination phase: Saturation
% 1.20/0.49 % (915363)Time elapsed: 0.038 s
% 1.20/0.49 % (915363)Peak memory usage: 13 MB
% 1.20/0.49 % (915363)Instructions burned: 89 (million)
% 1.20/0.49 % (915378)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1510261490:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.20/0.49 % (915381)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.20/0.49 % (915382)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2045080465:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.20/0.49 % (915378)Instruction limit reached!
% 1.20/0.49 % (915378)------------------------------
% 1.20/0.49 % (915378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915378)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915378)Termination reason: Instruction limit
% 1.20/0.49 % (915378)Termination phase: shuffling
% 1.20/0.49 % (915378)Time elapsed: 0.002 s
% 1.20/0.49 % (915378)Peak memory usage: 10 MB
% 1.20/0.49 % (915378)Instructions burned: 2 (million)
% 1.20/0.49 % (915381)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=974632959:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.20/0.49 % (915382)Instruction limit reached!
% 1.20/0.49 % (915382)------------------------------
% 1.20/0.49 % (915382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915382)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915382)Termination reason: Instruction limit
% 1.20/0.49 % (915382)Termination phase: shuffling
% 1.20/0.49 % (915382)Time elapsed: 0.005 s
% 1.20/0.49 % (915382)Peak memory usage: 10 MB
% 1.20/0.49 % (915382)Instructions burned: 12 (million)
% 1.20/0.49 % (915380)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4108616348:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.20/0.49 % (915381)Instruction limit reached!
% 1.20/0.49 % (915381)------------------------------
% 1.20/0.49 % (915381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915381)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915381)Termination reason: Instruction limit
% 1.20/0.49 % (915381)Termination phase: shuffling
% 1.20/0.49 % (915381)Time elapsed: 0.004 s
% 1.20/0.49 % (915381)Peak memory usage: 10 MB
% 1.20/0.49 % (915381)Instructions burned: 8 (million)
% 1.20/0.49 % (915380)Instruction limit reached!
% 1.20/0.49 % (915380)------------------------------
% 1.20/0.49 % (915380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915380)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915380)Termination reason: Instruction limit
% 1.20/0.49 % (915380)Termination phase: shuffling
% 1.20/0.49 % (915380)Time elapsed: 0.005 s
% 1.20/0.49 % (915380)Peak memory usage: 10 MB
% 1.20/0.49 % (915380)Instructions burned: 6 (million)
% 1.20/0.49 % (915368)Instruction limit reached!
% 1.20/0.49 % (915368)------------------------------
% 1.20/0.49 % (915368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915368)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915368)Termination reason: Instruction limit
% 1.20/0.49 % (915368)Termination phase: Property scanning
% 1.20/0.49 % (915368)Time elapsed: 0.063 s
% 1.20/0.49 % (915368)Peak memory usage: 12 MB
% 1.20/0.49 % (915368)Instructions burned: 76 (million)
% 1.20/0.49 % (915385)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.20/0.49 % (915385)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.20/0.49 % (915390)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.20/0.49 % (915390)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=552404414:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.20/0.49 % (915385)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2568949636:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.20/0.49 % (915390)Instruction limit reached!
% 1.20/0.49 % (915390)------------------------------
% 1.20/0.49 % (915390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915390)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915390)Termination reason: Instruction limit
% 1.20/0.49 % (915390)Termination phase: shuffling
% 1.20/0.49 % (915390)Time elapsed: 0.002 s
% 1.20/0.49 % (915390)Peak memory usage: 10 MB
% 1.20/0.49 % (915390)Instructions burned: 3 (million)
% 1.20/0.49 % (915387)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=140796622:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.20/0.49 % (915389)lrs+10_1_si=on:cs=on:random_seed=15816954:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.20/0.49 % (915389)Instruction limit reached!
% 1.20/0.49 % (915389)------------------------------
% 1.20/0.49 % (915389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915389)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915389)Termination reason: Instruction limit
% 1.20/0.49 % (915389)Termination phase: shuffling
% 1.20/0.49 % (915389)Time elapsed: 0.008 s
% 1.20/0.49 % (915389)Peak memory usage: 10 MB
% 1.20/0.49 % (915389)Instructions burned: 8 (million)
% 1.20/0.49 % (915394)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3642018518:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.20/0.49 % (915391)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=28119253:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.20/0.49 % (915385)Instruction limit reached!
% 1.20/0.49 % (915385)------------------------------
% 1.20/0.49 % (915385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.49 % (915385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.49 % (915385)CaDiCaL version: 2.1.3
% 1.20/0.49 % (915385)Termination reason: Instruction limit
% 1.20/0.49 % (915385)Termination phase: shuffling
% 1.20/0.49 % (915385)Time elapsed: 0.024 s
% 1.20/0.49 % (915385)Peak memory usage: 10 MB
% 1.20/0.49 % (915385)Instructions burned: 29 (million)
% 1.20/0.49 % (915366) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-915358-915366"...
% 1.20/0.49 % (915366)...printing done.
% 1.20/0.49 % (915366)Refutation found. Thanks to Tanya!
% 1.20/0.49 % SZS status Theorem for theBenchmark
% 1.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.20/0.50 % (915366)------------------------------
% 1.20/0.50 % (915366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.50 % (915366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.50 % (915366)CaDiCaL version: 2.1.3
% 1.20/0.50 % (915366)Termination reason: Refutation
% 1.20/0.50 % (915366)Time elapsed: 0.120 s
% 1.20/0.50 % (915366)Peak memory usage: 15 MB
% 1.20/0.50 % (915366)Instructions burned: 139 (million)
% 1.20/0.50 % (915358)Success in time 0.172 s
% 1.20/0.50 % Vampire exiting
%------------------------------------------------------------------------------