%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT035^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 07:44:38 AM UTC 2026
% Result : Theorem 0.22s 0.32s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 63 ( 49 unt; 0 typ; 0 def)
% Number of atoms : 242 ( 58 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 329 ( 18 ~; 15 |; 0 &; 254 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 72 ( 67 usr; 10 con; 0-4 aty)
% ( 26 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 101 ( 64 ^; 35 !; 2 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
meq_ind: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_11,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_12,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_13,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_14,type,
mtrue: $i > $o ).
thf(func_def_15,type,
mfalse: $i > $o ).
thf(func_def_16,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_29,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
a1: $i > $i > $o ).
thf(func_def_33,type,
a2: $i > $i > $o ).
thf(func_def_34,type,
a3: $i > $i > $o ).
thf(func_def_35,type,
jan: mu ).
thf(func_def_36,type,
piotr: mu ).
thf(func_def_37,type,
cola: mu ).
thf(func_def_38,type,
pepsi: mu ).
thf(func_def_39,type,
beer: mu ).
thf(func_def_40,type,
likes: mu > mu > $i > $o ).
thf(func_def_41,type,
very_much_likes: mu > mu > $i > $o ).
thf(func_def_42,type,
possibly_likes: mu > mu > $i > $o ).
thf(func_def_43,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_44,type,
cond4s: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_47,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_48,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_50,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_51,type,
vNOT: $o > $o ).
thf(func_def_52,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_53,type,
vIMP: $o > $o > $o ).
thf(func_def_54,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_55,type,
vAND: $o > $o > $o ).
thf(func_def_56,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_58,type,
vOR: $o > $o > $o ).
thf(func_def_59,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_60,type,
sK0: mu > $i > mu > $i ).
thf(func_def_61,type,
sK1: mu > $i > mu > $i ).
thf(func_def_62,type,
sK2: mu > $i > mu > $i ).
thf(func_def_63,type,
sK3: $i > $i ).
thf(func_def_64,type,
sK4: $i > $i ).
thf(func_def_65,type,
sK5: $i > $i ).
thf(func_def_67,type,
sK7: $i > $i ).
thf(func_def_68,type,
sK8: $i > $i ).
thf(f16,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f19,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
= msymmetric ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',msymmetric) ).
thf(f20,axiom,
( mserial
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mserial) ).
thf(f28,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(f50,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(f53,axiom,
mserial @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(f73,conjecture,
mvalid @ ( likes @ jan @ cola ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
thf(f74,negated_conjecture,
~ ( mvalid @ ( likes @ jan @ cola ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
thf(f91,plain,
~ ( mvalid @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f74]) ).
thf(f92,plain,
( ( mvalid @ ( likes @ jan @ cola ) )
!= $true ),
inference(fool_elimination,[],[f91]) ).
thf(f105,plain,
msymmetric @ a1,
inference(rectify,[],[f50]) ).
thf(f106,plain,
( ( msymmetric @ a1 )
= $true ),
inference(fool_elimination,[],[f105]) ).
thf(f126,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f28]) ).
thf(f127,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f126]) ).
thf(f134,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f135,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f134]) ).
thf(f160,plain,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f32]) ).
thf(f161,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f160]) ).
thf(f178,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
= msymmetric ),
inference(rectify,[],[f19]) ).
thf(f179,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f178]) ).
thf(f195,plain,
( mserial
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) ) ),
inference(rectify,[],[f20]) ).
thf(f196,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f195]) ).
thf(f198,plain,
mserial @ a1,
inference(rectify,[],[f53]) ).
thf(f199,plain,
( ( mserial @ a1 )
= $true ),
inference(fool_elimination,[],[f198]) ).
thf(f210,plain,
( ( mvalid @ ( likes @ jan @ cola ) )
!= $true ),
inference(flattening,[],[f92]) ).
thf(f236,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f196]) ).
thf(f243,plain,
( ( mvalid @ ( likes @ jan @ cola ) )
!= $true ),
inference(cnf_transformation,[],[f210]) ).
thf(f249,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f179]) ).
thf(f250,plain,
( ( mserial @ a1 )
= $true ),
inference(cnf_transformation,[],[f199]) ).
thf(f257,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f135]) ).
thf(f270,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f161]) ).
thf(f277,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f127]) ).
thf(f282,plain,
( ( msymmetric @ a1 )
= $true ),
inference(cnf_transformation,[],[f106]) ).
thf(f312,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( likes @ jan @ cola ) )
!= $true ),
inference(definition_unfolding,[],[f243,f277]) ).
thf(f317,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ a1 ) ),
inference(definition_unfolding,[],[f250,f236]) ).
thf(f330,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) )
@ a1
@ ( likes @ jan @ cola ) ) )
= $true ),
inference(definition_unfolding,[],[f270,f277,f257]) ).
thf(f333,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ a1 )
= $true ),
inference(definition_unfolding,[],[f282,f249]) ).
thf(f436,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y1 @ Y0 )
=> ( a1 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f333]) ).
thf(f437,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y1 @ Y0 )
=> ( a1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f436]) ).
thf(f438,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( a1 @ Y0 @ X1 )
=> ( a1 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f437]) ).
thf(f439,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( a1 @ Y0 @ X1 )
=> ( a1 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f438]) ).
thf(f440,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( a1 @ X2 @ X1 )
=> ( a1 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f439]) ).
thf(f441,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( a1 @ X2 @ X1 ) )
| ( $true
= ( a1 @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f440]) ).
thf(f492,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f330]) ).
thf(f493,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f492]) ).
thf(f494,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f493]) ).
thf(f495,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f494]) ).
thf(f496,plain,
! [X2: $i,X1: $i] :
( ( ( likes @ jan @ cola @ X2 )
| ~ ( a1 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f495]) ).
thf(f497,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( likes @ jan @ cola @ X2 ) )
| ( ( ~ ( a1 @ X1 @ X2 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f496]) ).
thf(f498,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( a1 @ X1 @ X2 ) )
| ( $true
= ( likes @ jan @ cola @ X2 ) ) ),
inference(not_proxy_clausification,[],[f497]) ).
thf(f555,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( a1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f317]) ).
thf(f556,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( ?? @ $i @ ( a1 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f555]) ).
thf(f557,plain,
! [X1: $i] :
( $true
= ( ?? @ $i @ ( a1 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f556]) ).
thf(f558,plain,
! [X1: $i] :
( $true
= ( a1 @ X1 @ ( sK5 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f557]) ).
thf(f644,plain,
( ( !! @ $i @ ( likes @ jan @ cola ) )
!= $true ),
inference(beta-eta_normalization,[],[f312]) ).
thf(f645,plain,
( $false
= ( likes @ jan @ cola @ sK6 ) ),
inference(sigma_proxy_clausification,[],[f644]) ).
thf(f718,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( a1 @ X0 @ sK6 ) ) ),
inference(constrained_superposition,[],[f498,f645]) ).
thf(f720,plain,
! [X0: $i] :
( $false
= ( a1 @ X0 @ sK6 ) ),
inference(trivial_inequality_removal,[],[f718]) ).
thf(f738,plain,
! [X0: $i] :
( ( $false
= ( a1 @ sK6 @ X0 ) )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f720,f441]) ).
thf(f740,plain,
! [X0: $i] :
( $false
= ( a1 @ sK6 @ X0 ) ),
inference(trivial_inequality_removal,[],[f738]) ).
thf(f749,plain,
$false = $true,
inference(constrained_superposition,[],[f558,f740]) ).
thf(f750,plain,
$false,
inference(trivial_inequality_removal,[],[f749]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT035^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:30:45 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 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
% 0.22/0.32 % (110136)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.32 % (110143)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3346370912:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.32 % (110143)Instruction limit reached!
% 0.22/0.32 % (110143)------------------------------
% 0.22/0.32 % (110143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (110143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (110143)CaDiCaL version: 2.1.3
% 0.22/0.32 % (110143)Termination reason: Instruction limit
% 0.22/0.32 % (110143)Termination phase: Property scanning
% 0.22/0.32 % (110143)Time elapsed: 0.002 s
% 0.22/0.32 % (110143)Peak memory usage: 10 MB
% 0.22/0.32 % (110143)Instructions burned: 7 (million)
% 0.22/0.32 % (110147)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.32 % (110147)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
% 0.22/0.32 % (110142)lrs+10_16_si=on:nwc=1.5:random_seed=3877679339:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.32 % (110141)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1843244530:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.32 % (110144)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=1943542508: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)
% 0.22/0.32 % (110145)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1365312546:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.32 % (110147)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=3214219730:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.32 % (110146)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1795869368:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.32 % (110142)Instruction limit reached!
% 0.22/0.32 % (110142)------------------------------
% 0.22/0.32 % (110142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (110142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (110142)CaDiCaL version: 2.1.3
% 0.22/0.32 % (110142)Termination reason: Instruction limit
% 0.22/0.32 % (110142)Termination phase: Property scanning
% 0.22/0.32 % (110142)Time elapsed: 0.008 s
% 0.22/0.32 % (110142)Peak memory usage: 10 MB
% 0.22/0.32 % (110142)Instructions burned: 20 (million)
% 0.22/0.32 % (110145)Instruction limit reached!
% 0.22/0.32 % (110145)------------------------------
% 0.22/0.32 % (110145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (110145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (110145)CaDiCaL version: 2.1.3
% 0.22/0.32 % (110145)Termination reason: Instruction limit
% 0.22/0.32 % (110145)Termination phase: Saturation
% 0.22/0.32 % (110145)Time elapsed: 0.013 s
% 0.22/0.32 % (110145)Peak memory usage: 12 MB
% 0.22/0.32 % (110145)Instructions burned: 24 (million)
% 0.22/0.32 % (110149)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1015862498:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.32 % (110149)Instruction limit reached!
% 0.22/0.32 % (110149)------------------------------
% 0.22/0.32 % (110149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (110149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (110149)CaDiCaL version: 2.1.3
% 0.22/0.32 % (110149)Termination reason: Instruction limit
% 0.22/0.32 % (110149)Termination phase: Property scanning
% 0.22/0.32 % (110149)Time elapsed: 0.003 s
% 0.22/0.32 % (110149)Peak memory usage: 10 MB
% 0.22/0.32 % (110149)Instructions burned: 7 (million)
% 0.22/0.32 % (110146)Instruction limit reached!
% 0.22/0.32 % (110146)------------------------------
% 0.22/0.32 % (110146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (110146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (110146)CaDiCaL version: 2.1.3
% 0.22/0.32 % (110146)Termination reason: Instruction limit
% 0.22/0.32 % (110146)Termination phase: Saturation
% 0.22/0.32 % (110146)Time elapsed: 0.019 s
% 0.22/0.32 % (110146)Peak memory usage: 12 MB
% 0.22/0.32 % (110146)Instructions burned: 78 (million)
% 0.22/0.32 % (110141) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-110136-110141"...
% 0.22/0.32 % (110141)...printing done.
% 0.22/0.32 % (110147) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-110136-110147"...
% 0.22/0.32 % (110141)Refutation found. Thanks to Tanya!
% 0.22/0.32 % SZS status Theorem for theBenchmark
% 0.22/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.33 % (110141)------------------------------
% 0.22/0.33 % (110141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33 % (110141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33 % (110141)CaDiCaL version: 2.1.3
% 0.22/0.33 % (110141)Termination reason: Refutation
% 0.22/0.33 % (110141)Time elapsed: 0.024 s
% 0.22/0.33 % (110141)Peak memory usage: 13 MB
% 0.22/0.33 % (110141)Instructions burned: 51 (million)
% 0.22/0.33 % (110136)Success in time 0.072 s
% 0.22/0.33 % Vampire exiting
%------------------------------------------------------------------------------