%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP098^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:08:20 AM UTC 2026
% Result : Theorem 0.55s 0.45s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 54 ( 33 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 168 ( 15 ~; 11 |; 0 &; 136 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 11 ( 10 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 101 ( 98 usr; 10 con; 0-4 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_c_a: $tType ).
thf(type_def_6,type,
set_a_c: $tType ).
thf(type_def_7,type,
set_a_b: $tType ).
thf(type_def_8,type,
set_a_a: $tType ).
thf(type_def_9,type,
set_c: $tType ).
thf(type_def_10,type,
set_b: $tType ).
thf(type_def_11,type,
set_a: $tType ).
thf(type_def_12,type,
c: $tType ).
thf(type_def_13,type,
b: $tType ).
thf(type_def_14,type,
a: $tType ).
thf(type_def_15,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
comp_a_a_a: ( a > a ) > ( a > a ) > a > a ).
thf(func_def_1,type,
comp_a_a_c: ( a > a ) > ( c > a ) > c > a ).
thf(func_def_2,type,
comp_a_b_a: ( a > b ) > ( a > a ) > a > b ).
thf(func_def_3,type,
comp_a_b_b: ( a > b ) > ( b > a ) > b > b ).
thf(func_def_4,type,
comp_a_b_c: ( a > b ) > ( c > a ) > c > b ).
thf(func_def_5,type,
comp_a_c_a: ( a > c ) > ( a > a ) > a > c ).
thf(func_def_6,type,
comp_a_c_c: ( a > c ) > ( c > a ) > c > c ).
thf(func_def_7,type,
comp_b_a_a: ( b > a ) > ( a > b ) > a > a ).
thf(func_def_8,type,
comp_b_a_c: ( b > a ) > ( c > b ) > c > a ).
thf(func_def_9,type,
comp_b_b_a: ( b > b ) > ( a > b ) > a > b ).
thf(func_def_10,type,
comp_b_b_b: ( b > b ) > ( b > b ) > b > b ).
thf(func_def_11,type,
comp_b_b_c: ( b > b ) > ( c > b ) > c > b ).
thf(func_def_12,type,
comp_b_c_a: ( b > c ) > ( a > b ) > a > c ).
thf(func_def_13,type,
comp_b_c_c: ( b > c ) > ( c > b ) > c > c ).
thf(func_def_14,type,
comp_c_a_a: ( c > a ) > ( a > c ) > a > a ).
thf(func_def_15,type,
comp_c_a_b: ( c > a ) > ( b > c ) > b > a ).
thf(func_def_16,type,
comp_c_a_c: ( c > a ) > ( c > c ) > c > a ).
thf(func_def_17,type,
comp_c_b_a: ( c > b ) > ( a > c ) > a > b ).
thf(func_def_18,type,
comp_c_b_b: ( c > b ) > ( b > c ) > b > b ).
thf(func_def_19,type,
comp_c_b_c: ( c > b ) > ( c > c ) > c > b ).
thf(func_def_20,type,
comp_c_c_a: ( c > c ) > ( a > c ) > a > c ).
thf(func_def_21,type,
comp_c_c_c: ( c > c ) > ( c > c ) > c > c ).
thf(func_def_22,type,
inj_on_a_a_a_b: ( ( a > a ) > a > b ) > set_a_a > $o ).
thf(func_def_23,type,
inj_on_a_b_a_b: ( ( a > b ) > a > b ) > set_a_b > $o ).
thf(func_def_24,type,
inj_on_a_c_a_b: ( ( a > c ) > a > b ) > set_a_c > $o ).
thf(func_def_25,type,
inj_on_c_a_c_a: ( ( c > a ) > c > a ) > set_c_a > $o ).
thf(func_def_26,type,
inj_on_c_a_c_b: ( ( c > a ) > c > b ) > set_c_a > $o ).
thf(func_def_27,type,
inj_on_c_a_c_c: ( ( c > a ) > c > c ) > set_c_a > $o ).
thf(func_def_28,type,
inj_on_c_a_a: ( ( c > a ) > a ) > set_c_a > $o ).
thf(func_def_29,type,
inj_on_a_a: ( a > a ) > set_a > $o ).
thf(func_def_30,type,
inj_on_a_b: ( a > b ) > set_a > $o ).
thf(func_def_31,type,
inj_on_a_c: ( a > c ) > set_a > $o ).
thf(func_def_32,type,
inj_on_b_a: ( b > a ) > set_b > $o ).
thf(func_def_33,type,
inj_on_b_b: ( b > b ) > set_b > $o ).
thf(func_def_34,type,
inj_on_b_c: ( b > c ) > set_b > $o ).
thf(func_def_35,type,
inj_on_c_a: ( c > a ) > set_c > $o ).
thf(func_def_36,type,
inj_on_c_b: ( c > b ) > set_c > $o ).
thf(func_def_37,type,
inj_on_c_c: ( c > c ) > set_c > $o ).
thf(func_def_38,type,
sup_sup_set_c_a: set_c_a > set_c_a > set_c_a ).
thf(func_def_39,type,
sup_sup_set_a: set_a > set_a > set_a ).
thf(func_def_40,type,
sup_sup_set_b: set_b > set_b > set_b ).
thf(func_def_41,type,
sup_sup_set_c: set_c > set_c > set_c ).
thf(func_def_42,type,
top_top_set_a_a: set_a_a ).
thf(func_def_43,type,
top_top_set_a_b: set_a_b ).
thf(func_def_44,type,
top_top_set_a_c: set_a_c ).
thf(func_def_45,type,
top_top_set_c_a: set_c_a ).
thf(func_def_46,type,
top_top_set_a: set_a ).
thf(func_def_47,type,
top_top_set_b: set_b ).
thf(func_def_48,type,
top_top_set_c: set_c ).
thf(func_def_49,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_50,type,
image_c_a_a: ( ( c > a ) > a ) > set_c_a > set_a ).
thf(func_def_51,type,
image_a_a: ( a > a ) > set_a > set_a ).
thf(func_def_52,type,
image_a_b: ( a > b ) > set_a > set_b ).
thf(func_def_53,type,
image_a_c: ( a > c ) > set_a > set_c ).
thf(func_def_54,type,
image_b_a: ( b > a ) > set_b > set_a ).
thf(func_def_55,type,
image_b_b: ( b > b ) > set_b > set_b ).
thf(func_def_56,type,
image_b_c: ( b > c ) > set_b > set_c ).
thf(func_def_57,type,
image_c_c_a: ( c > c > a ) > set_c > set_c_a ).
thf(func_def_58,type,
image_c_a: ( c > a ) > set_c > set_a ).
thf(func_def_59,type,
image_c_b: ( c > b ) > set_c > set_b ).
thf(func_def_60,type,
image_c_c: ( c > c ) > set_c > set_c ).
thf(func_def_61,type,
member_c_a: ( c > a ) > set_c_a > $o ).
thf(func_def_62,type,
member_a: a > set_a > $o ).
thf(func_def_63,type,
member_b: b > set_b > $o ).
thf(func_def_64,type,
member_c: c > set_c > $o ).
thf(func_def_65,type,
f: a > b ).
thf(func_def_66,type,
g: c > a ).
thf(func_def_67,type,
h: c > a ).
thf(func_def_69,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_70,type,
vIMP: $o > $o > $o ).
thf(func_def_71,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_72,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_73,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_74,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_75,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_76,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_79,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_80,type,
vAND: $o > $o > $o ).
thf(func_def_81,type,
sK0: ( a > b ) > a ).
thf(func_def_82,type,
sK1: ( a > b ) > a ).
thf(func_def_83,type,
sK2: ( c > b ) > c ).
thf(func_def_84,type,
sK3: ( c > b ) > c ).
thf(func_def_85,type,
sK4: ( b > a ) > set_a > ( a > b ) > a ).
thf(func_def_86,type,
sK5: ( a > b ) > ( a > b ) > ( c > a ) > a ).
thf(func_def_87,type,
sK6: ( a > b ) > set_a > a ).
thf(func_def_88,type,
sK7: ( a > b ) > set_a > a ).
thf(func_def_89,type,
sK8: ( a > c ) > ( c > a ) > a ).
thf(func_def_90,type,
sK9: ( c > a ) > a > c ).
thf(func_def_91,type,
sK10: set_a > ( a > b ) > ( a > b ) > a ).
thf(func_def_92,type,
sK11: ( a > a ) > set_a > ( a > b ) > a ).
thf(func_def_93,type,
sK12: ( a > a ) > set_a > ( a > b ) > a ).
thf(func_def_94,type,
sK13: ( a > b ) > ( c > a ) > ( a > b ) > ( c > a ) > a ).
thf(func_def_95,type,
sK14: ( a > b ) > ( c > a ) > ( a > b ) > ( c > a ) > a ).
thf(func_def_96,type,
sK15: ( a > b ) > ( a > b ) > ( c > a ) > a ).
thf(func_def_97,type,
sK16: a > ( c > a ) > c ).
thf(func_def_98,type,
vNOT: $o > $o ).
thf(func_def_99,type,
sK17: c ).
thf(f9,axiom,
! [X2: c > a,X1: c > a,X0: a > b] :
( ( ( comp_a_b_c @ X0 @ X1 )
= ( comp_a_b_c @ X0 @ X2 ) )
=> ( ( inj_on_a_b @ X0 @ ( sup_sup_set_a @ ( image_c_a @ X1 @ top_top_set_c ) @ ( image_c_a @ X2 @ top_top_set_c ) ) )
=> ( X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_o__inj__on) ).
thf(f354,axiom,
inj_on_a_b @ f @ ( sup_sup_set_a @ ( image_c_a @ g @ top_top_set_c ) @ ( image_c_a @ h @ top_top_set_c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f355,axiom,
( ( comp_a_b_c @ f @ g )
= ( comp_a_b_c @ f @ h ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f356,conjecture,
g = h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(f357,negated_conjecture,
g != h,
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f374,plain,
inj_on_a_b @ f @ ( sup_sup_set_a @ ( image_c_a @ g @ top_top_set_c ) @ ( image_c_a @ h @ top_top_set_c ) ),
inference(rectify,[],[f354]) ).
thf(f375,plain,
( ( inj_on_a_b @ f @ ( sup_sup_set_a @ ( image_c_a @ g @ top_top_set_c ) @ ( image_c_a @ h @ top_top_set_c ) ) )
= $true ),
inference(fool_elimination,[],[f374]) ).
thf(f504,plain,
! [X0: c > a,X1: c > a,X2: a > b] :
( ( ( comp_a_b_c @ X2 @ X0 )
= ( comp_a_b_c @ X2 @ X1 ) )
=> ( ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ X1 @ top_top_set_c ) @ ( image_c_a @ X0 @ top_top_set_c ) ) )
=> ( X0 = X1 ) ) ),
inference(rectify,[],[f9]) ).
thf(f505,plain,
! [X1: c > a,X0: c > a,X2: a > b] :
( ( ( comp_a_b_c @ X2 @ X0 )
= ( comp_a_b_c @ X2 @ X1 ) )
=> ( ( $true
= ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ X1 @ top_top_set_c ) @ ( image_c_a @ X0 @ top_top_set_c ) ) ) )
=> ( X0 = X1 ) ) ),
inference(fool_elimination,[],[f504]) ).
thf(f758,plain,
g != h,
inference(flattening,[],[f357]) ).
thf(f828,plain,
! [X1: c > a,X0: c > a,X2: a > b] :
( ( X0 = X1 )
| ( $true
!= ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ X1 @ top_top_set_c ) @ ( image_c_a @ X0 @ top_top_set_c ) ) ) )
| ( ( comp_a_b_c @ X2 @ X0 )
!= ( comp_a_b_c @ X2 @ X1 ) ) ),
inference(ennf_transformation,[],[f505]) ).
thf(f829,plain,
! [X2: a > b,X0: c > a,X1: c > a] :
( ( $true
!= ( inj_on_a_b @ X2 @ ( sup_sup_set_a @ ( image_c_a @ X1 @ top_top_set_c ) @ ( image_c_a @ X0 @ top_top_set_c ) ) ) )
| ( X0 = X1 )
| ( ( comp_a_b_c @ X2 @ X0 )
!= ( comp_a_b_c @ X2 @ X1 ) ) ),
inference(flattening,[],[f828]) ).
thf(f901,plain,
! [X0: a > b,X1: c > a,X2: c > a] :
( ( $true
!= ( inj_on_a_b @ X0 @ ( sup_sup_set_a @ ( image_c_a @ X2 @ top_top_set_c ) @ ( image_c_a @ X1 @ top_top_set_c ) ) ) )
| ( X1 = X2 )
| ( ( comp_a_b_c @ X0 @ X1 )
!= ( comp_a_b_c @ X0 @ X2 ) ) ),
inference(rectify,[],[f829]) ).
thf(f913,plain,
g != h,
inference(cnf_transformation,[],[f758]) ).
thf(f989,plain,
! [X2: c > a,X0: a > b,X1: c > a] :
( ( $true
!= ( inj_on_a_b @ X0 @ ( sup_sup_set_a @ ( image_c_a @ X2 @ top_top_set_c ) @ ( image_c_a @ X1 @ top_top_set_c ) ) ) )
| ( ( comp_a_b_c @ X0 @ X1 )
!= ( comp_a_b_c @ X0 @ X2 ) )
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f901]) ).
thf(f994,plain,
( ( comp_a_b_c @ f @ g )
= ( comp_a_b_c @ f @ h ) ),
inference(cnf_transformation,[],[f355]) ).
thf(f996,plain,
( ( inj_on_a_b @ f @ ( sup_sup_set_a @ ( image_c_a @ g @ top_top_set_c ) @ ( image_c_a @ h @ top_top_set_c ) ) )
= $true ),
inference(cnf_transformation,[],[f375]) ).
thf(f1057,plain,
( ( ( comp_a_b_c @ f @ g )
!= ( comp_a_b_c @ f @ h ) )
| ( $true != $true )
| ( g = h ) ),
inference(superposition,[],[f989,f996]) ).
thf(f1062,plain,
( ( g = h )
| ( ( comp_a_b_c @ f @ g )
!= ( comp_a_b_c @ f @ h ) ) ),
inference(trivial_inequality_removal,[],[f1057]) ).
thf(f1065,plain,
( ( comp_a_b_c @ f @ g )
!= ( comp_a_b_c @ f @ h ) ),
inference(forward_subsumption_resolution,[],[f1062,f913]) ).
thf(f1066,plain,
$false,
inference(forward_subsumption_resolution,[],[f1065,f994]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP098^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n002.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 19:55:52 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.21/0.27 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
% 0.55/0.41 % (1766039)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.55/0.41 % (1766052)lrs+10_16_si=on:nwc=1.5:random_seed=136442144:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.55/0.41 % (1766053)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1144041956:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.55/0.41 % (1766051)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2025006773:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.55/0.41 % (1766054)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=2451871973: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)
% 0.55/0.41 % (1766055)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=710163604:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.55/0.41 % (1766053)Instruction limit reached!
% 0.55/0.41 % (1766053)------------------------------
% 0.55/0.41 % (1766053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.41 % (1766053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.41 % (1766053)CaDiCaL version: 2.1.3
% 0.55/0.41 % (1766053)Termination reason: Instruction limit
% 0.55/0.41 % (1766053)Termination phase: shuffling
% 0.55/0.41 % (1766053)Time elapsed: 0.003 s
% 0.55/0.41 % (1766053)Peak memory usage: 10 MB
% 0.55/0.41 % (1766053)Instructions burned: 5 (million)
% 0.55/0.41 % (1766057)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.55/0.41 % (1766057)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
% 0.55/0.41 % (1766052)Instruction limit reached!
% 0.55/0.41 % (1766052)------------------------------
% 0.55/0.41 % (1766052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.41 % (1766052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.41 % (1766052)CaDiCaL version: 2.1.3
% 0.55/0.41 % (1766052)Termination reason: Instruction limit
% 0.55/0.41 % (1766052)Termination phase: shuffling
% 0.55/0.41 % (1766052)Time elapsed: 0.009 s
% 0.55/0.41 % (1766052)Peak memory usage: 10 MB
% 0.55/0.41 % (1766052)Instructions burned: 20 (million)
% 0.55/0.41 % (1766057)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=1474671320:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.55/0.41 % (1766056)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3627849468:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.55/0.41 % (1766063)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2844181010:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.41 % (1766055)Instruction limit reached!
% 0.55/0.41 % (1766055)------------------------------
% 0.55/0.41 % (1766055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.41 % (1766055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.41 % (1766055)CaDiCaL version: 2.1.3
% 0.55/0.41 % (1766055)Termination reason: Instruction limit
% 0.55/0.41 % (1766055)Termination phase: Property scanning
% 0.55/0.41 % (1766055)Time elapsed: 0.014 s
% 0.55/0.41 % (1766055)Peak memory usage: 10 MB
% 0.55/0.41 % (1766055)Instructions burned: 31 (million)
% 0.55/0.41 % (1766063)Instruction limit reached!
% 0.55/0.41 % (1766063)------------------------------
% 0.55/0.41 % (1766063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.41 % (1766063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.41 % (1766063)CaDiCaL version: 2.1.3
% 0.55/0.41 % (1766063)Termination reason: Instruction limit
% 0.55/0.41 % (1766063)Termination phase: shuffling
% 0.55/0.41 % (1766063)Time elapsed: 0.003 s
% 0.55/0.41 % (1766063)Peak memory usage: 10 MB
% 0.55/0.41 % (1766063)Instructions burned: 14 (million)
% 0.55/0.41 % (1766064)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4133518189:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.55/0.45 % (1766069)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=503806541:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.55/0.45 % (1766068)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.45 % (1766064)Instruction limit reached!
% 0.55/0.45 % (1766064)------------------------------
% 0.55/0.45 % (1766064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766064)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766064)Termination reason: Instruction limit
% 0.55/0.45 % (1766064)Termination phase: shuffling
% 0.55/0.45 % (1766064)Time elapsed: 0.003 s
% 0.55/0.45 % (1766064)Peak memory usage: 10 MB
% 0.55/0.45 % (1766064)Instructions burned: 6 (million)
% 0.55/0.45 % (1766069)Instruction limit reached!
% 0.55/0.45 % (1766069)------------------------------
% 0.55/0.45 % (1766069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766069)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766069)Termination reason: Instruction limit
% 0.55/0.45 % (1766069)Termination phase: shuffling
% 0.55/0.45 % (1766069)Time elapsed: 0.004 s
% 0.55/0.45 % (1766069)Peak memory usage: 10 MB
% 0.55/0.45 % (1766069)Instructions burned: 16 (million)
% 0.55/0.45 % (1766068)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3702774855:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.55/0.45 % (1766051)Instruction limit reached!
% 0.55/0.45 % (1766051)------------------------------
% 0.55/0.45 % (1766051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766051)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766051)Termination reason: Instruction limit
% 0.55/0.45 % (1766051)Termination phase: Function definition elimination
% 0.55/0.45 % (1766051)Time elapsed: 0.040 s
% 0.55/0.45 % (1766051)Peak memory usage: 12 MB
% 0.55/0.45 % (1766051)Instructions burned: 88 (million)
% 0.55/0.45 % (1766068)Instruction limit reached!
% 0.55/0.45 % (1766068)------------------------------
% 0.55/0.45 % (1766068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766068)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766068)Termination reason: Instruction limit
% 0.55/0.45 % (1766068)Termination phase: shuffling
% 0.55/0.45 % (1766068)Time elapsed: 0.004 s
% 0.55/0.45 % (1766068)Peak memory usage: 10 MB
% 0.55/0.45 % (1766068)Instructions burned: 8 (million)
% 0.55/0.45 % (1766073)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=3217262496:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.55/0.45 % (1766056)Instruction limit reached!
% 0.55/0.45 % (1766056)------------------------------
% 0.55/0.45 % (1766056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766056)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766056)Termination reason: Instruction limit
% 0.55/0.45 % (1766056)Termination phase: Property scanning
% 0.55/0.45 % (1766056)Time elapsed: 0.036 s
% 0.55/0.45 % (1766056)Peak memory usage: 12 MB
% 0.55/0.45 % (1766056)Instructions burned: 76 (million)
% 0.55/0.45 % (1766072)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
% 0.55/0.45 % (1766072)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.55/0.45 % (1766076)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.55/0.45 % (1766072)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1034829396:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.55/0.45 % (1766075)lrs+10_1_si=on:cs=on:random_seed=3961607749:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.55/0.45 % (1766076)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=2328573529:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.55/0.45 % (1766075)Instruction limit reached!
% 0.55/0.45 % (1766075)------------------------------
% 0.55/0.45 % (1766075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766075)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766075)Termination reason: Instruction limit
% 0.55/0.45 % (1766075)Termination phase: shuffling
% 0.55/0.45 % (1766075)Time elapsed: 0.004 s
% 0.55/0.45 % (1766075)Peak memory usage: 10 MB
% 0.55/0.45 % (1766075)Instructions burned: 8 (million)
% 0.55/0.45 % (1766076)Instruction limit reached!
% 0.55/0.45 % (1766076)------------------------------
% 0.55/0.45 % (1766076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766076)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766076)Termination reason: Instruction limit
% 0.55/0.45 % (1766076)Termination phase: shuffling
% 0.55/0.45 % (1766076)Time elapsed: 0.002 s
% 0.55/0.45 % (1766076)Peak memory usage: 10 MB
% 0.55/0.45 % (1766076)Instructions burned: 3 (million)
% 0.55/0.45 % (1766073)Instruction limit reached!
% 0.55/0.45 % (1766073)------------------------------
% 0.55/0.45 % (1766073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766073)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766073)Termination reason: Instruction limit
% 0.55/0.45 % (1766073)Termination phase: Property scanning
% 0.55/0.45 % (1766073)Time elapsed: 0.020 s
% 0.55/0.45 % (1766073)Peak memory usage: 11 MB
% 0.55/0.45 % (1766073)Instructions burned: 90 (million)
% 0.55/0.45 % (1766078)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1017412175:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.55/0.45 % (1766072)Instruction limit reached!
% 0.55/0.45 % (1766072)------------------------------
% 0.55/0.45 % (1766072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766072)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766072)Termination reason: Instruction limit
% 0.55/0.45 % (1766072)Termination phase: shuffling
% 0.55/0.45 % (1766072)Time elapsed: 0.013 s
% 0.55/0.45 % (1766072)Peak memory usage: 11 MB
% 0.55/0.45 % (1766072)Instructions burned: 28 (million)
% 0.55/0.45 % (1766084)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1804311966:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.55/0.45 % (1766057)Instruction limit reached!
% 0.55/0.45 % (1766057)------------------------------
% 0.55/0.45 % (1766057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766057)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766057)Termination reason: Instruction limit
% 0.55/0.45 % (1766057)Termination phase: Saturation
% 0.55/0.45 % (1766057)Time elapsed: 0.067 s
% 0.55/0.45 % (1766057)Peak memory usage: 13 MB
% 0.55/0.45 % (1766057)Instructions burned: 157 (million)
% 0.55/0.45 % (1766084)Instruction limit reached!
% 0.55/0.45 % (1766084)------------------------------
% 0.55/0.45 % (1766084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766084)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766084)Termination reason: Instruction limit
% 0.55/0.45 % (1766084)Termination phase: shuffling
% 0.55/0.45 % (1766084)Time elapsed: 0.004 s
% 0.55/0.45 % (1766084)Peak memory usage: 10 MB
% 0.55/0.45 % (1766084)Instructions burned: 16 (million)
% 0.55/0.45 % (1766082)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1285102795:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.55/0.45 % (1766083)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3187647450:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.55/0.45 % (1766078)Instruction limit reached!
% 0.55/0.45 % (1766078)------------------------------
% 0.55/0.45 % (1766078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766078)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766078)Termination reason: Instruction limit
% 0.55/0.45 % (1766078)Termination phase: SInE selection
% 0.55/0.45 % (1766078)Time elapsed: 0.018 s
% 0.55/0.45 % (1766078)Peak memory usage: 11 MB
% 0.55/0.45 % (1766078)Instructions burned: 39 (million)
% 0.55/0.45 % (1766086)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2951554341:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.55/0.45 % (1766083)Instruction limit reached!
% 0.55/0.45 % (1766083)------------------------------
% 0.55/0.45 % (1766083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766083)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766083)Termination reason: Instruction limit
% 0.55/0.45 % (1766083)Termination phase: Property scanning
% 0.55/0.45 % (1766083)Time elapsed: 0.012 s
% 0.55/0.45 % (1766083)Peak memory usage: 10 MB
% 0.55/0.45 % (1766083)Instructions burned: 27 (million)
% 0.55/0.45 % (1766088)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=492065394:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.55/0.45 % (1766089)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1587144674:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.55/0.45 % (1766089)Instruction limit reached!
% 0.55/0.45 % (1766089)------------------------------
% 0.55/0.45 % (1766089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766089)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766089)Termination reason: Instruction limit
% 0.55/0.45 % (1766089)Termination phase: shuffling
% 0.55/0.45 % (1766089)Time elapsed: 0.002 s
% 0.55/0.45 % (1766089)Peak memory usage: 10 MB
% 0.55/0.45 % (1766089)Instructions burned: 3 (million)
% 0.55/0.45 % (1766092)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2783602947:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.55/0.45 % (1766088)Instruction limit reached!
% 0.55/0.45 % (1766088)------------------------------
% 0.55/0.45 % (1766088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766088)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766088)Termination reason: Instruction limit
% 0.55/0.45 % (1766088)Termination phase: shuffling
% 0.55/0.45 % (1766088)Time elapsed: 0.007 s
% 0.55/0.45 % (1766088)Peak memory usage: 10 MB
% 0.55/0.45 % (1766088)Instructions burned: 16 (million)
% 0.55/0.45 % (1766092)Instruction limit reached!
% 0.55/0.45 % (1766092)------------------------------
% 0.55/0.45 % (1766092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766092)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766092)Termination reason: Instruction limit
% 0.55/0.45 % (1766092)Termination phase: shuffling
% 0.55/0.45 % (1766092)Time elapsed: 0.011 s
% 0.55/0.45 % (1766092)Peak memory usage: 10 MB
% 0.55/0.45 % (1766092)Instructions burned: 26 (million)
% 0.55/0.45 % (1766082) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1766039-1766082"...
% 0.55/0.45 % (1766097)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2677813372:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.55/0.45 % (1766099)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 0.55/0.45 % (1766099)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.55/0.45 % (1766082)...printing done.
% 0.55/0.45 % (1766082)Refutation found. Thanks to Tanya!
% 0.55/0.45 % SZS status Theorem for theBenchmark
% 0.55/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.45 % (1766082)------------------------------
% 0.55/0.45 % (1766082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.55/0.45 % (1766082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.55/0.45 % (1766082)CaDiCaL version: 2.1.3
% 0.55/0.45 % (1766082)Termination reason: Refutation
% 0.55/0.45 % (1766082)Time elapsed: 0.036 s
% 0.55/0.45 % (1766082)Peak memory usage: 13 MB
% 0.55/0.45 % (1766082)Instructions burned: 75 (million)
% 0.55/0.45 % (1766039)Success in time 0.169 s
% 0.55/0.45 % Vampire exiting
%------------------------------------------------------------------------------