%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP148^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 08:08:33 AM UTC 2026
% Result : Theorem 0.37s 0.44s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 19 unt; 0 typ; 2 def)
% Number of atoms : 41 ( 19 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 117 ( 14 ~; 10 |; 0 &; 91 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 152 ( 150 usr; 15 con; 0-4 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_real_real: $tType ).
thf(type_def_6,type,
set_a_complex: $tType ).
thf(type_def_7,type,
set_complex_a: $tType ).
thf(type_def_8,type,
set_real_a: $tType ).
thf(type_def_9,type,
set_complex: $tType ).
thf(type_def_10,type,
set_a_a: $tType ).
thf(type_def_11,type,
set_real: $tType ).
thf(type_def_12,type,
set_a: $tType ).
thf(type_def_13,type,
complex: $tType ).
thf(type_def_14,type,
real: $tType ).
thf(type_def_15,type,
a: $tType ).
thf(type_def_16,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bij_be209634132omplex: ( complex > complex ) > set_complex > set_complex > $o ).
thf(func_def_1,type,
bij_betw_complex_a: ( complex > a ) > set_complex > set_a > $o ).
thf(func_def_2,type,
bij_be122140626omplex: ( real > complex ) > set_real > set_complex > $o ).
thf(func_def_3,type,
bij_betw_real_real: ( real > real ) > set_real > set_real > $o ).
thf(func_def_4,type,
bij_betw_real_a: ( real > a ) > set_real > set_a > $o ).
thf(func_def_5,type,
bij_betw_a_complex: ( a > complex ) > set_a > set_complex > $o ).
thf(func_def_6,type,
bij_betw_a_a: ( a > a ) > set_a > set_a > $o ).
thf(func_def_7,type,
comp_c130555887omplex: ( complex > complex ) > ( complex > complex ) > complex > complex ).
thf(func_def_8,type,
comp_c595887981x_real: ( complex > complex ) > ( real > complex ) > real > complex ).
thf(func_def_9,type,
comp_c124850173plex_a: ( complex > complex ) > ( a > complex ) > a > complex ).
thf(func_def_10,type,
comp_c819638635l_real: ( complex > real ) > ( real > complex ) > real > real ).
thf(func_def_11,type,
comp_complex_real_a: ( complex > real ) > ( a > complex ) > a > real ).
thf(func_def_12,type,
comp_c274302683omplex: ( complex > a ) > ( complex > complex ) > complex > a ).
thf(func_def_13,type,
comp_complex_a_real: ( complex > a ) > ( real > complex ) > real > a ).
thf(func_def_14,type,
comp_complex_a_a: ( complex > a ) > ( a > complex ) > a > a ).
thf(func_def_15,type,
comp_r667767405omplex: ( real > complex ) > ( complex > real ) > complex > complex ).
thf(func_def_16,type,
comp_r701421291x_real: ( real > complex ) > ( real > real ) > real > complex ).
thf(func_def_17,type,
comp_real_complex_a: ( real > complex ) > ( a > real ) > a > complex ).
thf(func_def_18,type,
comp_r422820971omplex: ( real > real ) > ( complex > real ) > complex > real ).
thf(func_def_19,type,
comp_real_real_real: ( real > real ) > ( real > real ) > real > real ).
thf(func_def_20,type,
comp_real_real_a: ( real > real ) > ( a > real ) > a > real ).
thf(func_def_21,type,
comp_real_a_complex: ( real > a ) > ( complex > real ) > complex > a ).
thf(func_def_22,type,
comp_real_a_real: ( real > a ) > ( real > real ) > real > a ).
thf(func_def_23,type,
comp_real_a_a: ( real > a ) > ( a > real ) > a > a ).
thf(func_def_24,type,
comp_a1063143865omplex: ( a > complex ) > ( complex > a ) > complex > complex ).
thf(func_def_25,type,
comp_a_complex_real: ( a > complex ) > ( real > a ) > real > complex ).
thf(func_def_26,type,
comp_a_complex_a: ( a > complex ) > ( a > a ) > a > complex ).
thf(func_def_27,type,
comp_a_real_complex: ( a > real ) > ( complex > a ) > complex > real ).
thf(func_def_28,type,
comp_a_real_real: ( a > real ) > ( real > a ) > real > real ).
thf(func_def_29,type,
comp_a_real_a: ( a > real ) > ( a > a ) > a > real ).
thf(func_def_30,type,
comp_a_a_complex: ( a > a ) > ( complex > a ) > complex > a ).
thf(func_def_31,type,
comp_a_a_real: ( a > a ) > ( real > a ) > real > a ).
thf(func_def_32,type,
comp_a_a_a: ( a > a ) > ( a > a ) > a > a ).
thf(func_def_33,type,
id_complex_a: ( complex > a ) > complex > a ).
thf(func_def_34,type,
id_real_a: ( real > a ) > real > a ).
thf(func_def_35,type,
id_a_a: ( a > a ) > a > a ).
thf(func_def_36,type,
id_complex: complex > complex ).
thf(func_def_37,type,
id_real: real > real ).
thf(func_def_38,type,
id_a: a > a ).
thf(func_def_39,type,
inj_on893405649omplex: ( ( complex > a ) > complex > complex ) > set_complex_a > $o ).
thf(func_def_40,type,
inj_on1576005937plex_a: ( ( complex > a ) > complex > a ) > set_complex_a > $o ).
thf(func_def_41,type,
inj_on958237983real_a: ( ( real > real ) > real > a ) > set_real_real > $o ).
thf(func_def_42,type,
inj_on319905617omplex: ( ( real > a ) > real > complex ) > set_real_a > $o ).
thf(func_def_43,type,
inj_on_real_a_real_a: ( ( real > a ) > real > a ) > set_real_a > $o ).
thf(func_def_44,type,
inj_on_a_complex_a_a: ( ( a > complex ) > a > a ) > set_a_complex > $o ).
thf(func_def_45,type,
inj_on_a_a_a_complex: ( ( a > a ) > a > complex ) > set_a_a > $o ).
thf(func_def_46,type,
inj_on_a_a_a_a: ( ( a > a ) > a > a ) > set_a_a > $o ).
thf(func_def_47,type,
inj_on94911183omplex: ( complex > complex ) > set_complex > $o ).
thf(func_def_48,type,
inj_on_complex_a: ( complex > a ) > set_complex > $o ).
thf(func_def_49,type,
inj_on_real_complex: ( real > complex ) > set_real > $o ).
thf(func_def_50,type,
inj_on_real_real: ( real > real ) > set_real > $o ).
thf(func_def_51,type,
inj_on_real_a: ( real > a ) > set_real > $o ).
thf(func_def_52,type,
inj_on_a_complex: ( a > complex ) > set_a > $o ).
thf(func_def_53,type,
inj_on_a_a: ( a > a ) > set_a > $o ).
thf(func_def_54,type,
zero_zero_complex: complex ).
thf(func_def_55,type,
zero_zero_a: a ).
thf(func_def_56,type,
top_top_complex_o: complex > $o ).
thf(func_def_57,type,
top_top_a_o: a > $o ).
thf(func_def_58,type,
top_to525076535plex_a: set_complex_a ).
thf(func_def_59,type,
top_to1446257885l_real: set_real_real ).
thf(func_def_60,type,
top_top_set_real_a: set_real_a ).
thf(func_def_61,type,
top_to2109114701omplex: set_a_complex ).
thf(func_def_62,type,
top_top_set_a_a: set_a_a ).
thf(func_def_63,type,
top_top_set_complex: set_complex ).
thf(func_def_64,type,
top_top_set_real: set_real ).
thf(func_def_65,type,
top_top_set_a: set_a ).
thf(func_def_66,type,
path_arc_complex: ( real > complex ) > $o ).
thf(func_def_67,type,
path_arc_real: ( real > real ) > $o ).
thf(func_def_68,type,
path_arc_a: ( real > a ) > $o ).
thf(func_def_69,type,
path_path_complex: ( real > complex ) > $o ).
thf(func_def_70,type,
path_path_real: ( real > real ) > $o ).
thf(func_def_71,type,
path_path_a: ( real > a ) > $o ).
thf(func_def_72,type,
path_p769714271omplex: ( real > complex ) > complex ).
thf(func_def_73,type,
path_pathfinish_real: ( real > real ) > real ).
thf(func_def_74,type,
path_pathfinish_a: ( real > a ) > a ).
thf(func_def_75,type,
path_p797330068omplex: ( real > complex ) > complex ).
thf(func_def_76,type,
path_pathstart_real: ( real > real ) > real ).
thf(func_def_77,type,
path_pathstart_a: ( real > a ) > a ).
thf(func_def_78,type,
path_rectpath: complex > complex > real > complex ).
thf(func_def_79,type,
path_s36253918omplex: ( real > complex ) > $o ).
thf(func_def_80,type,
path_s1005760220h_real: ( real > real ) > $o ).
thf(func_def_81,type,
path_simple_path_a: ( real > a ) > $o ).
thf(func_def_82,type,
poinca1910941596x_of_a: a > complex ).
thf(func_def_83,type,
poinca837721858l_of_a: complex > a ).
thf(func_def_84,type,
real_V762982918plex_a: ( complex > a ) > $o ).
thf(func_def_85,type,
real_V912435428omplex: ( a > complex ) > $o ).
thf(func_def_86,type,
real_V301987619plex_a: ( complex > a ) > $o ).
thf(func_def_87,type,
real_V451440129omplex: ( a > complex ) > $o ).
thf(func_def_88,type,
real_V670066493omplex: ( complex > complex ) > $o ).
thf(func_def_89,type,
real_V1327653935plex_a: ( complex > a ) > $o ).
thf(func_def_90,type,
real_V1948715323omplex: ( real > complex ) > $o ).
thf(func_def_91,type,
real_V1354572473l_real: ( real > real ) > $o ).
thf(func_def_92,type,
real_V779700657real_a: ( real > a ) > $o ).
thf(func_def_93,type,
real_V1477106445omplex: ( a > complex ) > $o ).
thf(func_def_94,type,
real_V202220639ar_a_a: ( a > a ) > $o ).
thf(func_def_95,type,
collect_complex: ( complex > $o ) > set_complex ).
thf(func_def_96,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_97,type,
member_complex: complex > set_complex > $o ).
thf(func_def_98,type,
member_a: a > set_a > $o ).
thf(func_def_99,type,
c: real > a ).
thf(func_def_103,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_104,type,
vIMP: $o > $o > $o ).
thf(func_def_105,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_107,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_108,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_109,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_110,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_111,type,
vAND: $o > $o > $o ).
thf(func_def_112,type,
vNOT: $o > $o ).
thf(func_def_113,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_114,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_115,type,
sK0: ( complex > a ) > set_complex > ( a > complex ) > complex ).
thf(func_def_116,type,
sK1: set_a > set_complex > a > complex ).
thf(func_def_117,type,
sK2: ( complex > a ) > complex ).
thf(func_def_118,type,
sK3: a > ( complex > a ) > complex ).
thf(func_def_119,type,
sK4: ( complex > a ) > a > complex ).
thf(func_def_120,type,
sK5: a ).
thf(func_def_121,type,
sK6: ( a > complex ) > a ).
thf(func_def_122,type,
sK7: set_a > ( complex > a ) > ( a > complex ) > a ).
thf(func_def_123,type,
sK8: set_a > set_complex > complex > a ).
thf(func_def_124,type,
sK9: ( a > a ) > a > a ).
thf(func_def_125,type,
sK10: ( complex > a ) > set_complex > complex ).
thf(func_def_126,type,
sK11: ( complex > a ) > set_complex > complex ).
thf(func_def_127,type,
sK12: ( a > complex ) > complex > a ).
thf(func_def_128,type,
sK13: ( a > complex ) > set_a > a ).
thf(func_def_129,type,
sK14: ( a > complex ) > set_a > a ).
thf(func_def_130,type,
sK15: complex ).
thf(func_def_131,type,
sK16: set_a > ( a > complex ) > ( a > complex ) > a ).
thf(func_def_132,type,
sK17: complex > ( a > complex ) > a ).
thf(func_def_133,type,
sK18: ( a > complex ) > a ).
thf(func_def_134,type,
sK19: ( a > complex ) > a ).
thf(func_def_135,type,
sK20: ( complex > a ) > complex ).
thf(func_def_136,type,
sK21: ( complex > a ) > complex ).
thf(func_def_137,type,
sK22: set_complex > complex ).
thf(func_def_138,type,
sK23: a > ( a > a ) > a ).
thf(func_def_139,type,
sK24: ( complex > complex ) > complex ).
thf(func_def_140,type,
sK25: set_a > a ).
thf(func_def_141,type,
sK26: ( a > complex ) > a ).
thf(func_def_142,type,
sK27: ( a > complex ) > a ).
thf(func_def_143,type,
sK28: ( complex > a ) > complex ).
thf(func_def_144,type,
sK29: ( complex > a ) > complex ).
thf(func_def_145,type,
sK30: ( a > complex ) > set_a > ( a > complex ) > a ).
thf(func_def_146,type,
sK31: ( complex > a ) > ( complex > a ) > set_complex > complex ).
thf(func_def_147,type,
sK32: ( a > a ) > a ).
thf(func_def_148,type,
sK33: ( complex > a ) > set_complex > ( complex > a ) > complex ).
thf(func_def_149,type,
sK34: ( complex > complex ) > complex > complex ).
thf(f1,axiom,
( ( path_pathfinish_a @ c )
= ( path_pathstart_a @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I2_J) ).
thf(f14,axiom,
! [X1: real > a,X0: a > complex] :
( ( path_p769714271omplex @ ( comp_a_complex_real @ X0 @ X1 ) )
= ( X0 @ ( path_pathfinish_a @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_pathfinish__compose) ).
thf(f19,axiom,
! [X1: real > a,X0: a > complex] :
( ( path_p797330068omplex @ ( comp_a_complex_real @ X0 @ X1 ) )
= ( X0 @ ( path_pathstart_a @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_pathstart__compose) ).
thf(f355,conjecture,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f356,negated_conjecture,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(negated_conjecture,[status(cth)],[f355]) ).
thf(f743,plain,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(flattening,[],[f356]) ).
thf(f855,plain,
! [X0: real > a,X1: a > complex] :
( ( path_p797330068omplex @ ( comp_a_complex_real @ X1 @ X0 ) )
= ( X1 @ ( path_pathstart_a @ X0 ) ) ),
inference(rectify,[],[f19]) ).
thf(f1386,plain,
! [X0: real > a,X1: a > complex] :
( ( X1 @ ( path_pathfinish_a @ X0 ) )
= ( path_p769714271omplex @ ( comp_a_complex_real @ X1 @ X0 ) ) ),
inference(rectify,[],[f14]) ).
thf(f1488,plain,
( ( path_pathfinish_a @ c )
= ( path_pathstart_a @ c ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f1562,plain,
( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ),
inference(cnf_transformation,[],[f743]) ).
thf(f1621,plain,
! [X0: real > a,X1: a > complex] :
( ( path_p797330068omplex @ ( comp_a_complex_real @ X1 @ X0 ) )
= ( X1 @ ( path_pathstart_a @ X0 ) ) ),
inference(cnf_transformation,[],[f855]) ).
thf(f1739,plain,
! [X0: real > a,X1: a > complex] :
( ( X1 @ ( path_pathfinish_a @ X0 ) )
= ( path_p769714271omplex @ ( comp_a_complex_real @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f1386]) ).
thf(f1998,definition,
( spl35_6
<=> ( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) ) ),
introduced(definition,[new_symbols(definition,[spl35_6])],[avatar_definition]) ).
thf(f2000,plain,
( ( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p797330068omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) )
| spl35_6 ),
inference(avatar_component_clause,[],[f1998]) ).
thf(f2001,plain,
~ spl35_6,
inference(avatar_split_clause,[],[f1562,f1998]) ).
thf(f2060,definition,
( spl35_19
<=> ( ( path_pathfinish_a @ c )
= ( path_pathstart_a @ c ) ) ),
introduced(definition,[new_symbols(definition,[spl35_19])],[avatar_definition]) ).
thf(f2062,plain,
( ( ( path_pathfinish_a @ c )
= ( path_pathstart_a @ c ) )
| ~ spl35_19 ),
inference(avatar_component_clause,[],[f2060]) ).
thf(f2063,plain,
spl35_19,
inference(avatar_split_clause,[],[f1488,f2060]) ).
thf(f2254,plain,
( ! [X0: a > complex] :
( ( path_p797330068omplex @ ( comp_a_complex_real @ X0 @ c ) )
= ( X0 @ ( path_pathfinish_a @ c ) ) )
| ~ spl35_19 ),
inference(superposition,[],[f1621,f2062]) ).
thf(f2282,plain,
( ! [X0: a > complex] :
( ( path_p797330068omplex @ ( comp_a_complex_real @ X0 @ c ) )
= ( path_p769714271omplex @ ( comp_a_complex_real @ X0 @ c ) ) )
| ~ spl35_19 ),
inference(superposition,[],[f2254,f1739]) ).
thf(f2292,plain,
( ( ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) )
!= ( path_p769714271omplex @ ( comp_a_complex_real @ poinca1910941596x_of_a @ c ) ) )
| spl35_6
| ~ spl35_19 ),
inference(superposition,[],[f2000,f2282]) ).
thf(f2296,plain,
( $false
| spl35_6
| ~ spl35_19 ),
inference(trivial_inequality_removal,[],[f2292]) ).
thf(f2297,plain,
( spl35_6
| ~ spl35_19 ),
inference(avatar_contradiction_clause,[],[f2296]) ).
cnf(s6,plain,
~ spl35_6,
inference(sat_conversion,[],[f2001]) ).
cnf(s19,plain,
spl35_19,
inference(sat_conversion,[],[f2063]) ).
cnf(s59,plain,
( spl35_6
| ~ spl35_19 ),
inference(sat_conversion,[],[f2297]) ).
cnf(s60,plain,
spl35_6,
inference(rat,[],[s59,s19]) ).
cnf(s62,plain,
$false,
inference(rat,[],[s6,s60]) ).
thf(f2301,plain,
$false,
inference(avatar_sat_refutation,[],[s62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP148^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n002.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 20:03:42 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.25/0.30 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.44 % (1781267)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.37/0.44 % (1781272)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=900113993:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.37/0.44 % (1781276)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=493637977:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.37/0.44 % (1781275)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=1677550457: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)
% 0.37/0.44 % (1781276)Instruction limit reached!
% 0.37/0.44 % (1781276)------------------------------
% 0.37/0.44 % (1781276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781276)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781276)Termination reason: Instruction limit
% 0.37/0.44 % (1781276)Termination phase: Property scanning
% 0.37/0.44 % (1781276)Time elapsed: 0.012 s
% 0.37/0.44 % (1781276)Peak memory usage: 10 MB
% 0.37/0.44 % (1781276)Instructions burned: 26 (million)
% 0.37/0.44 % (1781277)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3787519103:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.37/0.44 % (1781278)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.37/0.44 % (1781278)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
% 0.37/0.44 % (1781272)Instruction limit reached!
% 0.37/0.44 % (1781272)------------------------------
% 0.37/0.44 % (1781272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781272)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781272)Termination reason: Instruction limit
% 0.37/0.44 % (1781272)Termination phase: Property scanning
% 0.37/0.44 % (1781272)Time elapsed: 0.025 s
% 0.37/0.44 % (1781272)Peak memory usage: 12 MB
% 0.37/0.44 % (1781272)Instructions burned: 88 (million)
% 0.37/0.44 % (1781273)lrs+10_16_si=on:nwc=1.5:random_seed=2030945690:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.37/0.44 % (1781278)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=523703892:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.37/0.44 % (1781274)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1819014594:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.37/0.44 % (1781284)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4268233035:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.37/0.44 % (1781282)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=886251180:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.37/0.44 % (1781274)Instruction limit reached!
% 0.37/0.44 % (1781274)------------------------------
% 0.37/0.44 % (1781274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781274)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781274)Termination reason: Instruction limit
% 0.37/0.44 % (1781274)Termination phase: shuffling
% 0.37/0.44 % (1781274)Time elapsed: 0.002 s
% 0.37/0.44 % (1781274)Peak memory usage: 10 MB
% 0.37/0.44 % (1781274)Instructions burned: 3 (million)
% 0.37/0.44 % (1781284)Instruction limit reached!
% 0.37/0.44 % (1781284)------------------------------
% 0.37/0.44 % (1781284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781284)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781284)Termination reason: Instruction limit
% 0.37/0.44 % (1781284)Termination phase: shuffling
% 0.37/0.44 % (1781284)Time elapsed: 0.002 s
% 0.37/0.44 % (1781284)Peak memory usage: 10 MB
% 0.37/0.44 % (1781284)Instructions burned: 7 (million)
% 0.37/0.44 % (1781282)Instruction limit reached!
% 0.37/0.44 % (1781282)------------------------------
% 0.37/0.44 % (1781282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781282)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781282)Termination reason: Instruction limit
% 0.37/0.44 % (1781282)Termination phase: shuffling
% 0.37/0.44 % (1781282)Time elapsed: 0.002 s
% 0.37/0.44 % (1781282)Peak memory usage: 10 MB
% 0.37/0.44 % (1781282)Instructions burned: 3 (million)
% 0.37/0.44 % (1781273)Instruction limit reached!
% 0.37/0.44 % (1781273)------------------------------
% 0.37/0.44 % (1781273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781273)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781273)Termination reason: Instruction limit
% 0.37/0.44 % (1781273)Termination phase: Property scanning
% 0.37/0.44 % (1781273)Time elapsed: 0.014 s
% 0.37/0.44 % (1781273)Peak memory usage: 10 MB
% 0.37/0.44 % (1781273)Instructions burned: 19 (million)
% 0.37/0.44 % (1781291)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3237283917:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.37/0.44 % (1781290)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.37/0.44 % (1781277)Instruction limit reached!
% 0.37/0.44 % (1781277)------------------------------
% 0.37/0.44 % (1781277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781277)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781277)Termination reason: Instruction limit
% 0.37/0.44 % (1781277)Termination phase: Function definition elimination
% 0.37/0.44 % (1781277)Time elapsed: 0.035 s
% 0.37/0.44 % (1781277)Peak memory usage: 11 MB
% 0.37/0.44 % (1781277)Instructions burned: 76 (million)
% 0.37/0.44 % (1781292)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
% 0.37/0.44 % (1781292)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.37/0.44 % (1781291)Instruction limit reached!
% 0.37/0.44 % (1781291)------------------------------
% 0.37/0.44 % (1781291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781291)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781291)Termination reason: Instruction limit
% 0.37/0.44 % (1781291)Termination phase: shuffling
% 0.37/0.44 % (1781291)Time elapsed: 0.003 s
% 0.37/0.44 % (1781291)Peak memory usage: 10 MB
% 0.37/0.44 % (1781291)Instructions burned: 13 (million)
% 0.37/0.44 % (1781290)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1220387962:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.37/0.44 % (1781292)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1105339043:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.37/0.44 % (1781290)Instruction limit reached!
% 0.37/0.44 % (1781290)------------------------------
% 0.37/0.44 % (1781290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781290)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781290)Termination reason: Instruction limit
% 0.37/0.44 % (1781290)Termination phase: shuffling
% 0.37/0.44 % (1781290)Time elapsed: 0.004 s
% 0.37/0.44 % (1781290)Peak memory usage: 10 MB
% 0.37/0.44 % (1781290)Instructions burned: 8 (million)
% 0.37/0.44 % (1781293)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=198695560:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.37/0.44 % (1781296)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.37/0.44 % (1781296)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=1619652565:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.37/0.44 % (1781296)Instruction limit reached!
% 0.37/0.44 % (1781296)------------------------------
% 0.37/0.44 % (1781296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781296)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781296)Termination reason: Instruction limit
% 0.37/0.44 % (1781296)Termination phase: shuffling
% 0.37/0.44 % (1781296)Time elapsed: 0.003 s
% 0.37/0.44 % (1781296)Peak memory usage: 10 MB
% 0.37/0.44 % (1781296)Instructions burned: 9 (million)
% 0.37/0.44 % (1781292)Instruction limit reached!
% 0.37/0.44 % (1781292)------------------------------
% 0.37/0.44 % (1781292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781292)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781292)Termination reason: Instruction limit
% 0.37/0.44 % (1781292)Termination phase: shuffling
% 0.37/0.44 % (1781292)Time elapsed: 0.013 s
% 0.37/0.44 % (1781292)Peak memory usage: 10 MB
% 0.37/0.44 % (1781292)Instructions burned: 28 (million)
% 0.37/0.44 % (1781295)lrs+10_1_si=on:cs=on:random_seed=2432826268:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.37/0.44 % (1781275) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1781267-1781275"...
% 0.37/0.44 % (1781295)Instruction limit reached!
% 0.37/0.44 % (1781295)------------------------------
% 0.37/0.44 % (1781295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781295)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781295)Termination reason: Instruction limit
% 0.37/0.44 % (1781295)Termination phase: shuffling
% 0.37/0.44 % (1781295)Time elapsed: 0.004 s
% 0.37/0.44 % (1781295)Peak memory usage: 10 MB
% 0.37/0.44 % (1781295)Instructions burned: 9 (million)
% 0.37/0.44 % (1781275)...printing done.
% 0.37/0.44 % (1781275)Refutation found. Thanks to Tanya!
% 0.37/0.44 % SZS status Theorem for theBenchmark
% 0.37/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.44 % (1781275)------------------------------
% 0.37/0.44 % (1781275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.44 % (1781275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.44 % (1781275)CaDiCaL version: 2.1.3
% 0.37/0.44 % (1781275)Termination reason: Refutation
% 0.37/0.44 % (1781275)Time elapsed: 0.073 s
% 0.37/0.44 % (1781275)Peak memory usage: 14 MB
% 0.37/0.44 % (1781275)Instructions burned: 137 (million)
% 0.37/0.44 % (1781267)Success in time 0.134 s
% 0.37/0.44 % Vampire exiting
%------------------------------------------------------------------------------