%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU679^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 08:30:43 AM UTC 2026
% Result : Theorem 0.46s 0.24s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 244 ( 60 equ; 6 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 612 ( 8 ~; 0 |; 19 &; 495 @)
% ( 0 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 31 usr; 7 con; 0-4 aty)
% ( 39 !!; 8 ??; 0 @@+; 0 @@-)
% Number of variables : 200 ( 176 ^; 22 !; 2 ?; 200 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_2,type,
setadjoin: $i > $i > $i ).
thf(func_def_3,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_4,type,
subset: $i > $i > $o ).
thf(func_def_5,type,
kpair: $i > $i > $i ).
thf(func_def_6,type,
cartprod: $i > $i > $i ).
thf(func_def_7,type,
singleton: $i > $o ).
thf(func_def_9,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_10,type,
breln: $i > $i > $i > $o ).
thf(func_def_11,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_12,type,
func: $i > $i > $i > $o ).
thf(func_def_13,type,
lamProp: $o ).
thf(func_def_14,type,
lam: $i > $i > ( $i > $i ) > $i ).
thf(func_def_15,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_18,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_20,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_21,type,
vAND: $o > $o > $o ).
thf(func_def_22,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_23,type,
vIMP: $o > $o > $o ).
thf(func_def_24,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_25,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_26,type,
vNOT: $o > $o ).
thf(func_def_29,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_30,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_31,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
db8:
!>[X0: $tType] : X0 ).
thf(f1,axiom,
( ( ^ [X0: $i] :
? [X1: $i] :
( ( X0
= ( setadjoin @ X1 @ emptyset ) )
& ( in @ X1 @ X0 ) ) )
= singleton ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
thf(f2,axiom,
( ( ^ [X0: $i,X1: $i > $o] :
( singleton
@ ( dsetconstr @ X0
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) )
= ex1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ex1) ).
thf(f3,axiom,
( breln
= ( ^ [X0: $i,X1: $i,X2: $i] : ( subset @ X2 @ ( cartprod @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln) ).
thf(f4,axiom,
( func
= ( ^ [X0: $i,X1: $i,X2: $i] :
( ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ex1 @ X1
@ ^ [X4: $i] : ( in @ ( kpair @ X3 @ X4 ) @ X2 ) ) )
& ( breln @ X0 @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',func) ).
thf(f5,axiom,
( lamProp
= ( ! [X1: $i,X0: $i,X2: $i > $i] :
( ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( X2 @ X3 ) @ X1 ) )
=> ( func @ X0 @ X1
@ ( dpsetconstr @ X0 @ X1
@ ^ [X3: $i,X4: $i] :
( ( X2 @ X3 )
= X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lamProp) ).
thf(f6,axiom,
( lam
= ( ^ [X0: $i,X1: $i,X2: $i > $i] :
( dpsetconstr @ X0 @ X1
@ ^ [X3: $i,X4: $i] :
( ( X2 @ X3 )
= X4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lam) ).
thf(f7,conjecture,
( lamProp
=> ! [X1: $i,X0: $i,X2: $i > $i] :
( ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( X2 @ X3 ) @ X1 ) )
=> ( func @ X0 @ X1
@ ( lam @ X0 @ X1
@ ^ [X3: $i] : ( X2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lamp) ).
thf(f8,negated_conjecture,
~ ( lamProp
=> ! [X1: $i,X0: $i,X2: $i > $i] :
( ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( X2 @ X3 ) @ X1 ) )
=> ( func @ X0 @ X1
@ ( lam @ X0 @ X1
@ ^ [X3: $i] : ( X2 @ X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
thf(f9,plain,
( ( ^ [X0: $i,X1: $i > $o] :
( singleton
@ ( dsetconstr @ X0
@ ^ [X2: $i] : ( X1 @ X2 ) ) ) )
= ex1 ),
inference(rectify,[],[f2]) ).
thf(f10,plain,
( ex1
= ( ^ [Y0: $i,Y1: $i > $o] :
( singleton
@ ( dsetconstr @ Y0
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( lam
= ( ^ [X0: $i,X1: $i,X2: $i > $i] :
( dpsetconstr @ X0 @ X1
@ ^ [X3: $i,X4: $i] :
( ( X2 @ X3 )
= X4 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f12,plain,
( lam
= ( ^ [Y0: $i,Y1: $i,Y2: $i > $i] :
( dpsetconstr @ Y0 @ Y1
@ ^ [Y3: $i,Y4: $i] :
( ( Y2 @ Y3 )
= Y4 ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
( ( ^ [X0: $i] :
? [X1: $i] :
( ( X0
= ( setadjoin @ X1 @ emptyset ) )
& ( in @ X1 @ X0 ) ) )
= singleton ),
inference(rectify,[],[f1]) ).
thf(f14,plain,
( singleton
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
& ( ( setadjoin @ Y1 @ emptyset )
= Y0 ) ) ) ) ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
( lamProp
= ( ! [X0: $i,X1: $i,X2: $i > $i] :
( ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( X2 @ X3 ) @ X0 ) )
=> ( func @ X1 @ X0
@ ( dpsetconstr @ X1 @ X0
@ ^ [X4: $i,X5: $i] :
( ( X2 @ X4 )
= X5 ) ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f16,plain,
( lamProp
= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y0 @ Y3 ) @ Y2 ) ) )
=> ( func @ Y1 @ Y2
@ ( dpsetconstr @ Y1 @ Y2
@ ^ [Y3: $i,Y4: $i] :
( ( Y0 @ Y3 )
= Y4 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
~ ( lamProp
=> ! [X0: $i,X1: $i,X2: $i > $i] :
( ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( X2 @ X3 ) @ X0 ) )
=> ( func @ X1 @ X0
@ ( lam @ X1 @ X0
@ ^ [X4: $i] : ( X2 @ X4 ) ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f18,plain,
( $true
= ( ~ ( lamProp
=> ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y0 @ Y3 ) @ Y2 ) ) )
=> ( func @ Y1 @ Y2
@ ( lam @ Y1 @ Y2
@ ^ [Y3: $i] : ( Y0 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f19,plain,
( breln
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f20,plain,
( func
= ( ^ [X0: $i,X1: $i,X2: $i] :
( ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( ex1 @ X1
@ ^ [X4: $i] : ( in @ ( kpair @ X3 @ X4 ) @ X2 ) ) )
& ( breln @ X0 @ X1 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f21,plain,
( func
= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( ( breln @ Y0 @ Y1 @ Y2 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ex1 @ Y1
@ ^ [Y4: $i] : ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f22,plain,
( breln
= ( ^ [Y0: $i,Y1: $i,Y2: $i] : ( subset @ Y2 @ ( cartprod @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f23,plain,
( $true
= ( ~ ( lamProp
=> ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y0 @ Y3 ) @ Y2 ) ) )
=> ( func @ Y1 @ Y2
@ ( lam @ Y1 @ Y2
@ ^ [Y3: $i] : ( Y0 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f24,plain,
( singleton
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
& ( ( setadjoin @ Y1 @ emptyset )
= Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f25,plain,
( lam
= ( ^ [Y0: $i,Y1: $i,Y2: $i > $i] :
( dpsetconstr @ Y0 @ Y1
@ ^ [Y3: $i,Y4: $i] :
( ( Y2 @ Y3 )
= Y4 ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f26,plain,
( ex1
= ( ^ [Y0: $i,Y1: $i > $o] :
( singleton
@ ( dsetconstr @ Y0
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f27,plain,
( func
= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( ( breln @ Y0 @ Y1 @ Y2 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ex1 @ Y1
@ ^ [Y4: $i] : ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f28,plain,
( lamProp
= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y0 @ Y3 ) @ Y2 ) ) )
=> ( func @ Y1 @ Y2
@ ( dpsetconstr @ Y1 @ Y2
@ ^ [Y3: $i,Y4: $i] :
( ( Y0 @ Y3 )
= Y4 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f30,plain,
( ex1
= ( ^ [Y0: $i,Y1: $i > $o] :
( ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y2 )
& ( ( setadjoin @ Y3 @ emptyset )
= Y2 ) ) )
@ ( dsetconstr @ Y0
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) ),
inference(definition_unfolding,[],[f26,f24]) ).
thf(f31,plain,
( func
= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( ( ^ [Y3: $i,Y4: $i,Y5: $i] : ( subset @ Y5 @ ( cartprod @ Y3 @ Y4 ) )
@ Y0
@ Y1
@ Y2 )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ^ [Y4: $i,Y5: $i > $o] :
( ^ [Y6: $i] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( in @ Y7 @ Y6 )
& ( ( setadjoin @ Y7 @ emptyset )
= Y6 ) ) )
@ ( dsetconstr @ Y4
@ ^ [Y6: $i] : ( Y5 @ Y6 ) ) )
@ Y1
@ ^ [Y4: $i] : ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f27,f22,f30]) ).
thf(f32,plain,
( ( ~ ( lamProp
=> ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y0 @ Y3 ) @ Y2 ) ) )
=> ( ^ [Y3: $i,Y4: $i,Y5: $i] :
( ( ^ [Y6: $i,Y7: $i,Y8: $i] : ( subset @ Y8 @ ( cartprod @ Y6 @ Y7 ) )
@ Y3
@ Y4
@ Y5 )
& ( !! @ $i
@ ^ [Y6: $i] :
( ( in @ Y6 @ Y3 )
=> ( ^ [Y7: $i,Y8: $i > $o] :
( ^ [Y9: $i] :
( ?? @ $i
@ ^ [Y10: $i] :
( ( in @ Y10 @ Y9 )
& ( ( setadjoin @ Y10 @ emptyset )
= Y9 ) ) )
@ ( dsetconstr @ Y7
@ ^ [Y9: $i] : ( Y8 @ Y9 ) ) )
@ Y4
@ ^ [Y7: $i] : ( in @ ( kpair @ Y6 @ Y7 ) @ Y5 ) ) ) ) )
@ Y1
@ Y2
@ ( ^ [Y3: $i,Y4: $i,Y5: $i > $i] :
( dpsetconstr @ Y3 @ Y4
@ ^ [Y6: $i,Y7: $i] :
( ( Y5 @ Y6 )
= Y7 ) )
@ Y1
@ Y2
@ ^ [Y3: $i] : ( Y0 @ Y3 ) ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f23,f31,f25]) ).
thf(f33,plain,
( lamProp
= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y0 @ Y3 ) @ Y2 ) ) )
=> ( ^ [Y3: $i,Y4: $i,Y5: $i] :
( ( ^ [Y6: $i,Y7: $i,Y8: $i] : ( subset @ Y8 @ ( cartprod @ Y6 @ Y7 ) )
@ Y3
@ Y4
@ Y5 )
& ( !! @ $i
@ ^ [Y6: $i] :
( ( in @ Y6 @ Y3 )
=> ( ^ [Y7: $i,Y8: $i > $o] :
( ^ [Y9: $i] :
( ?? @ $i
@ ^ [Y10: $i] :
( ( in @ Y10 @ Y9 )
& ( ( setadjoin @ Y10 @ emptyset )
= Y9 ) ) )
@ ( dsetconstr @ Y7
@ ^ [Y9: $i] : ( Y8 @ Y9 ) ) )
@ Y4
@ ^ [Y7: $i] : ( in @ ( kpair @ Y6 @ Y7 ) @ Y5 ) ) ) ) )
@ Y1
@ Y2
@ ( dpsetconstr @ Y1 @ Y2
@ ^ [Y3: $i,Y4: $i] :
( ( Y0 @ Y3 )
= Y4 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f28,f31]) ).
thf(f34,plain,
( lamProp
= ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y0 @ Y3 ) @ Y2 ) ) )
=> ( ( subset
@ ( dpsetconstr @ Y1 @ Y2
@ ^ [Y3: $i] : ( (=) @ ( Y0 @ Y3 ) ) )
@ ( cartprod @ Y1 @ Y2 ) )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4
@ ( dsetconstr @ Y2
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y1 @ Y2
@ ^ [Y6: $i] : ( (=) @ ( Y0 @ Y6 ) ) ) ) ) )
& ( ( setadjoin @ Y4 @ emptyset )
= ( dsetconstr @ Y2
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y1 @ Y2
@ ^ [Y6: $i] : ( (=) @ ( Y0 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f35,plain,
( $true
= ( ~ ( lamProp
=> ( !! @ ( $i > $i )
@ ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( Y0 @ Y3 ) @ Y2 ) ) )
=> ( ( subset
@ ( dpsetconstr @ Y1 @ Y2
@ ^ [Y3: $i] : ( (=) @ ( Y0 @ Y3 ) ) )
@ ( cartprod @ Y1 @ Y2 ) )
& ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4
@ ( dsetconstr @ Y2
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y1 @ Y2
@ ^ [Y6: $i] : ( (=) @ ( Y0 @ Y6 ) ) ) ) ) )
& ( ( setadjoin @ Y4 @ emptyset )
= ( dsetconstr @ Y2
@ ^ [Y5: $i] :
( in @ ( kpair @ Y3 @ Y5 )
@ ( dpsetconstr @ Y1 @ Y2
@ ^ [Y6: $i] : ( (=) @ ( Y0 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f32]) ).
thf(f36,plain,
( $true
= ( ~ ( lamProp
=> lamProp ) ) ),
inference(forward_demodulation,[],[f35,f34]) ).
thf(f37,plain,
( ( ~ $true ) = $true ),
inference(boolean_simplification,[],[f36]) ).
thf(f38,plain,
$false = $true,
inference(boolean_simplification,[],[f37]) ).
thf(f39,plain,
$false,
inference(trivial_inequality_removal,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU679^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.12 % Computer : n012.cluster.edu
% 0.06/0.12 % Model : x86_64 x86_64
% 0.06/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.12 % Memory : 8046.5625MB
% 0.06/0.12 % OS : Linux 6.8.0-71-generic
% 0.06/0.12 % CPULimit : 300
% 0.06/0.12 % WCLimit : 300
% 0.06/0.12 % DateTime : Tue Sep 29 14:07:34 UTC 2026
% 0.06/0.12 % CPUTime :
% 0.06/0.12 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.14 Running higher-order theorem proving
% 0.06/0.14 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
% 0.06/0.22 % (159094)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.06/0.22 % (159105)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.06/0.22 % (159105)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
% 0.06/0.22 % (159105)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=2850366195:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.06/0.22 % (159101)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=54783930:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.06/0.22 % (159099)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3776501418:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.06/0.22 % (159103)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3319125230:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.06/0.22 % (159100)lrs+10_16_si=on:nwc=1.5:random_seed=3820004373:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.06/0.22 % (159102)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=2803618271: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)
% 0.06/0.22 % (159104)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=235773030:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.06/0.22 % (159101)Instruction limit reached!
% 0.06/0.22 % (159101)------------------------------
% 0.06/0.22 % (159101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.22 % (159101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.22 % (159101)CaDiCaL version: 2.1.3
% 0.06/0.22 % (159101)Termination reason: Instruction limit
% 0.06/0.22 % (159101)Termination phase: Saturation
% 0.06/0.22 % (159101)Time elapsed: 0.001 s
% 0.06/0.22 % (159101)Peak memory usage: 11 MB
% 0.06/0.22 % (159101)Instructions burned: 4 (million)
% 0.06/0.22 % (159099)Refutation not found, incomplete strategy
% 0.06/0.22 % (159099)------------------------------
% 0.06/0.22 % (159099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.22 % (159099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.22 % (159099)CaDiCaL version: 2.1.3
% 0.06/0.22 % (159099)Termination reason: Refutation not found, incomplete strategy
% 0.06/0.22 % (159099)Time elapsed: 0.003 s
% 0.06/0.22 % (159099)Peak memory usage: 12 MB
% 0.06/0.22 % (159099)Instructions burned: 10 (million)
% 0.06/0.22 % (159099)------------------------------
% 0.06/0.22 % (159099)------------------------------
% 0.06/0.22 % (159105)Refutation not found, incomplete strategy
% 0.06/0.22 % (159105)------------------------------
% 0.06/0.22 % (159105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.22 % (159105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.22 % (159105)CaDiCaL version: 2.1.3
% 0.06/0.22 % (159105)Termination reason: Refutation not found, incomplete strategy
% 0.06/0.22 % (159105)Time elapsed: 0.005 s
% 0.06/0.22 % (159105)Peak memory usage: 12 MB
% 0.06/0.22 % (159105)Instructions burned: 16 (million)
% 0.06/0.22 % (159105)------------------------------
% 0.06/0.22 % (159105)------------------------------
% 0.06/0.22 % (159102)Refutation not found, incomplete strategy
% 0.06/0.22 % (159102)------------------------------
% 0.06/0.22 % (159102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.22 % (159100)Instruction limit reached!
% 0.06/0.22 % (159100)------------------------------
% 0.06/0.22 % (159100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.22 % (159100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.22 % (159102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.22 % (159100)CaDiCaL version: 2.1.3
% 0.06/0.22 % (159100)Termination reason: Instruction limit
% 0.06/0.22 % (159100)Termination phase: Saturation
% 0.06/0.22 % (159100)Time elapsed: 0.006 s
% 0.06/0.23 % (159102)CaDiCaL version: 2.1.3
% 0.06/0.23 % (159100)Peak memory usage: 12 MB
% 0.06/0.23 % (159102)Termination reason: Refutation not found, incomplete strategy
% 0.06/0.23 % (159102)Time elapsed: 0.006 s
% 0.06/0.23 % (159100)Instructions burned: 19 (million)
% 0.06/0.23 % (159102)Peak memory usage: 12 MB
% 0.06/0.23 % (159102)Instructions burned: 15 (million)
% 0.06/0.23 % (159102)------------------------------
% 0.06/0.23 % (159102)------------------------------
% 0.06/0.23 % (159113)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1300098284:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.06/0.23 % (159103)Instruction limit reached!
% 0.06/0.23 % (159103)------------------------------
% 0.06/0.23 % (159103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.23 % (159103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.23 % (159103)CaDiCaL version: 2.1.3
% 0.06/0.23 % (159103)Termination reason: Instruction limit
% 0.06/0.23 % (159103)Termination phase: Saturation
% 0.06/0.23 % (159103)Time elapsed: 0.014 s
% 0.06/0.23 % (159103)Peak memory usage: 11 MB
% 0.06/0.23 % (159103)Instructions burned: 25 (million)
% 0.06/0.23 % (159113)Instruction limit reached!
% 0.06/0.23 % (159113)------------------------------
% 0.06/0.23 % (159113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.23 % (159113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.23 % (159113)CaDiCaL version: 2.1.3
% 0.06/0.23 % (159113)Termination reason: Instruction limit
% 0.06/0.23 % (159113)Termination phase: Property scanning
% 0.06/0.23 % (159113)Time elapsed: 0.001 s
% 0.06/0.23 % (159113)Peak memory usage: 10 MB
% 0.06/0.23 % (159113)Instructions burned: 3 (million)
% 0.06/0.23 % (159115)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.06/0.23 % (159114)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1661622232:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.06/0.23 % (159117)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
% 0.06/0.23 % (159117)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.06/0.23 % (159115)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=303951707:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.06/0.23 % (159116)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1450730474:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.06/0.23 % (159114)Instruction limit reached!
% 0.06/0.23 % (159114)------------------------------
% 0.06/0.23 % (159114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.23 % (159114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.23 % (159114)CaDiCaL version: 2.1.3
% 0.06/0.23 % (159114)Termination reason: Instruction limit
% 0.06/0.23 % (159114)Termination phase: Saturation
% 0.06/0.23 % (159114)Time elapsed: 0.001 s
% 0.06/0.23 % (159114)Peak memory usage: 11 MB
% 0.06/0.23 % (159114)Instructions burned: 5 (million)
% 0.06/0.23 % (159117)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=840573295:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.06/0.23 % (159115)Instruction limit reached!
% 0.06/0.23 % (159115)------------------------------
% 0.06/0.23 % (159115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.23 % (159115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.23 % (159115)CaDiCaL version: 2.1.3
% 0.06/0.23 % (159115)Termination reason: Instruction limit
% 0.06/0.23 % (159115)Termination phase: Saturation
% 0.06/0.23 % (159115)Time elapsed: 0.002 s
% 0.06/0.23 % (159115)Peak memory usage: 12 MB
% 0.06/0.23 % (159115)Instructions burned: 10 (million)
% 0.06/0.23 % (159116)Instruction limit reached!
% 0.06/0.23 % (159116)------------------------------
% 0.06/0.23 % (159116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.23 % (159116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159116)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159116)Termination reason: Instruction limit
% 0.46/0.24 % (159116)Termination phase: Saturation
% 0.46/0.24 % (159116)Time elapsed: 0.003 s
% 0.46/0.24 % (159116)Peak memory usage: 12 MB
% 0.46/0.24 % (159116)Instructions burned: 12 (million)
% 0.46/0.24 % (159104)Instruction limit reached!
% 0.46/0.24 % (159104)------------------------------
% 0.46/0.24 % (159104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159104)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159104)Termination reason: Instruction limit
% 0.46/0.24 % (159104)Termination phase: Saturation
% 0.46/0.24 % (159104)Time elapsed: 0.022 s
% 0.46/0.24 % (159104)Peak memory usage: 13 MB
% 0.46/0.24 % (159104)Instructions burned: 76 (million)
% 0.46/0.24 % (159120)lrs+10_1_si=on:cs=on:random_seed=2338427689:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.46/0.24 % (159119)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=1746306374:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.46/0.24 % (159124)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.46/0.24 % (159117)Instruction limit reached!
% 0.46/0.24 % (159117)------------------------------
% 0.46/0.24 % (159117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159117)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159117)Termination reason: Instruction limit
% 0.46/0.24 % (159117)Termination phase: Saturation
% 0.46/0.24 % (159117)Time elapsed: 0.008 s
% 0.46/0.24 % (159117)Peak memory usage: 12 MB
% 0.46/0.24 % (159117)Instructions burned: 31 (million)
% 0.46/0.24 % (159124)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=3641371135:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.24 % (159120)Instruction limit reached!
% 0.46/0.24 % (159120)------------------------------
% 0.46/0.24 % (159120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159120)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159120)Termination reason: Instruction limit
% 0.46/0.24 % (159120)Termination phase: Saturation
% 0.46/0.24 % (159120)Time elapsed: 0.003 s
% 0.46/0.24 % (159120)Peak memory usage: 12 MB
% 0.46/0.24 % (159120)Instructions burned: 12 (million)
% 0.46/0.24 % (159124)Instruction limit reached!
% 0.46/0.24 % (159124)------------------------------
% 0.46/0.24 % (159124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159124)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159124)Termination reason: Instruction limit
% 0.46/0.24 % (159124)Termination phase: Saturation
% 0.46/0.24 % (159124)Time elapsed: 0.001 s
% 0.46/0.24 % (159124)Peak memory usage: 11 MB
% 0.46/0.24 % (159124)Instructions burned: 3 (million)
% 0.46/0.24 % (159127)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3376092298:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.46/0.24 % (159127)Refutation not found, incomplete strategy
% 0.46/0.24 % (159127)------------------------------
% 0.46/0.24 % (159127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159127)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159127)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.24 % (159127)Time elapsed: 0.001 s
% 0.46/0.24 % (159127)Peak memory usage: 12 MB
% 0.46/0.24 % (159127)Instructions burned: 4 (million)
% 0.46/0.24 % (159127)------------------------------
% 0.46/0.24 % (159127)------------------------------
% 0.46/0.24 % (159131)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1472040448:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.46/0.24 % (159133)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2369213732:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.46/0.24 % (159126)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2277939051:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.46/0.24 % (159134)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1189867781:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.46/0.24 % (159126)Refutation not found, incomplete strategy
% 0.46/0.24 % (159126)------------------------------
% 0.46/0.24 % (159126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159126)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159126)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.24 % (159126)Time elapsed: 0.001 s
% 0.46/0.24 % (159126)Peak memory usage: 12 MB
% 0.46/0.24 % (159126)Instructions burned: 4 (million)
% 0.46/0.24 % (159131)Refutation not found, incomplete strategy
% 0.46/0.24 % (159131)------------------------------
% 0.46/0.24 % (159131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159131)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159131)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.24 % (159131)Time elapsed: 0.004 s
% 0.46/0.24 % (159131)Peak memory usage: 12 MB
% 0.46/0.24 % (159126)------------------------------
% 0.46/0.24 % (159126)------------------------------
% 0.46/0.24 % (159131)Instructions burned: 13 (million)
% 0.46/0.24 % (159131)------------------------------
% 0.46/0.24 % (159131)------------------------------
% 0.46/0.24 % (159133)Refutation not found, incomplete strategy
% 0.46/0.24 % (159133)------------------------------
% 0.46/0.24 % (159133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159133)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159133)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.24 % (159133)Time elapsed: 0.003 s
% 0.46/0.24 % (159133)Peak memory usage: 12 MB
% 0.46/0.24 % (159133)Instructions burned: 11 (million)
% 0.46/0.24 % (159133)------------------------------
% 0.46/0.24 % (159133)------------------------------
% 0.46/0.24 % (159136)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=709129032:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.24 % (159128)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3330382641:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.46/0.24 % (159134)Instruction limit reached!
% 0.46/0.24 % (159134)------------------------------
% 0.46/0.24 % (159134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159134)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159134)Termination reason: Instruction limit
% 0.46/0.24 % (159134)Termination phase: Saturation
% 0.46/0.24 % (159134)Time elapsed: 0.004 s
% 0.46/0.24 % (159134)Peak memory usage: 12 MB
% 0.46/0.24 % (159134)Instructions burned: 14 (million)
% 0.46/0.24 % (159136)Instruction limit reached!
% 0.46/0.24 % (159136)------------------------------
% 0.46/0.24 % (159136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159136)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159136)Termination reason: Instruction limit
% 0.46/0.24 % (159136)Termination phase: Property scanning
% 0.46/0.24 % (159136)Time elapsed: 0.001 s
% 0.46/0.24 % (159136)Peak memory usage: 11 MB
% 0.46/0.24 % (159136)Instructions burned: 3 (million)
% 0.46/0.24 % (159128)Refutation not found, incomplete strategy
% 0.46/0.24 % (159128)------------------------------
% 0.46/0.24 % (159128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159128)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159128)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.24 % (159128)Time elapsed: 0.003 s
% 0.46/0.24 % (159128)Peak memory usage: 12 MB
% 0.46/0.24 % (159128)Instructions burned: 5 (million)
% 0.46/0.24 % (159128)------------------------------
% 0.46/0.24 % (159128)------------------------------
% 0.46/0.24 % (159119)Instruction limit reached!
% 0.46/0.24 % (159119)------------------------------
% 0.46/0.24 % (159119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159119)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159119)Termination reason: Instruction limit
% 0.46/0.24 % (159119)Termination phase: Saturation
% 0.46/0.24 % (159119)Time elapsed: 0.024 s
% 0.46/0.24 % (159119)Peak memory usage: 13 MB
% 0.46/0.24 % (159119)Instructions burned: 88 (million)
% 0.46/0.24 % (159146)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
% 0.46/0.24 % (159146)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.46/0.24 % (159147)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.46/0.24 % (159146)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=4131527784:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.46/0.24 % (159145)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1283016512:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.46/0.24 % (159147)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2318305062:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.46/0.24 % (159144)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2455204663:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.46/0.24 % (159141)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2985138160:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.46/0.24 % (159146) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-159094-159146"...
% 0.46/0.24 % (159147)Instruction limit reached!
% 0.46/0.24 % (159147)------------------------------
% 0.46/0.24 % (159147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159147)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159147)Termination reason: Instruction limit
% 0.46/0.24 % (159147)Termination phase: Saturation
% 0.46/0.24 % (159147)Time elapsed: 0.003 s
% 0.46/0.24 % (159147)Peak memory usage: 12 MB
% 0.46/0.24 % (159147)Instructions burned: 10 (million)
% 0.46/0.24 % (159146)...printing done.
% 0.46/0.24 % (159146)Refutation found. Thanks to Tanya!
% 0.46/0.24 % SZS status Theorem for theBenchmark
% 0.46/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.24 % (159146)------------------------------
% 0.46/0.24 % (159146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.24 % (159146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.24 % (159146)CaDiCaL version: 2.1.3
% 0.46/0.24 % (159146)Termination reason: Refutation
% 0.46/0.24 % (159146)Time elapsed: 0.003 s
% 0.46/0.24 % (159146)Peak memory usage: 12 MB
% 0.46/0.24 % (159146)Instructions burned: 10 (million)
% 0.46/0.24 % (159094)Success in time 0.094 s
% 0.46/0.24 % Vampire exiting
%------------------------------------------------------------------------------