%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO885^1.055.005 : 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 : n026.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 08:48:33 AM UTC 2026
% Result : Theorem 0.20s 0.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 864 ( 77 equ; 0 cnn)
% Maximal formula atoms : 9 ( 66 avg)
% Number of connectives : 1033 ( 68 ~; 57 |; 8 &; 900 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 90 ( 90 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 6 con; 0-5 aty)
% Number of variables : 138 ( 120 ^; 16 !; 2 ?; 138 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_5,type,
f: $i > $i > $i > $i > $i > $i ).
thf(func_def_7,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
? [X0: $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 )
= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) )
& ( ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 )
= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
& ( ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 )
= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
& ( ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 )
= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) )
& ( ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 )
= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(f2,negated_conjecture,
~ ? [X0: $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 )
= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) )
& ( ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 )
= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
& ( ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 )
= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
& ( ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 )
= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) )
& ( ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 )
= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
! [X0: $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) )
| ( ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 )
!= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
| ( ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 )
!= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) )
| ( ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
| ( ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 )
!= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
! [X0: $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 )
!= ( f @ a0 @ a4 @ a3 @ a3 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) )
| ( ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 )
!= ( f @ a0 @ a4 @ a3 @ a0 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
| ( ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 )
!= ( f @ a0 @ a3 @ a3 @ a1 @ a4 ) ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f5,plain,
! [X2: $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i] :
( ( a4
!= ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a3
!= ( X2 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a3 @ a3 @ a1 @ a4 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y9
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4 ) )
@ a2
@ a3
@ a1
@ a0
@ a4 ) )
| ( ( f @ a0 @ a4 @ a3 @ a0 @ a2 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y9
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4 ) )
@ a1
@ a4
@ a0
@ a3
@ a2 ) )
| ( a0
!= ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y9
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4 ) )
@ a2
@ a1
@ a0
@ a4
@ a3 ) )
| ( a3
!= ( X3 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 )
@ ( ^ [Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y9
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4 ) )
@ a1
@ a2
@ a4
@ a3
@ a0 ) ) ),
inference(equality_resolution,[],[f4]) ).
thf(f8,plain,
! [X2: $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i] :
( ( ( f @ a0 @ a4 @ a3 @ a0 @ a2 )
!= ( f @ ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 ) @ ( X1 @ a1 @ a4 @ a0 @ a3 @ a2 ) @ ( X2 @ a1 @ a4 @ a0 @ a3 @ a2 ) @ ( X3 @ a1 @ a4 @ a0 @ a3 @ a2 ) @ a2 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ ( X1 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ ( X2 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ ( X3 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ a3 ) )
| ( a3
!= ( X2 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a3
!= ( X3 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a0
!= ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a3 @ a3 @ a1 @ a4 )
!= ( f @ ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ ( X1 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ ( X2 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ ( X3 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ a4 ) )
| ( a4
!= ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ ( X1 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ ( X2 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ ( X3 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ a0 ) ) ),
inference(beta-eta_normalization,[],[f5]) ).
thf(f11,plain,
! [X0: $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i] :
( ( a3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y2
@ a2
@ a4
@ a3
@ a0
@ a1 ) )
| ( a4
!= ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 ) )
| ( a3
!= ( X1 @ a1 @ a4 @ a0 @ a3 @ a2 ) )
| ( a4
!= ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a0
@ a2
@ a1
@ a0
@ a4
@ a3 )
@ ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 )
@ ( X1 @ a2 @ a1 @ a0 @ a4 @ a3 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y2
@ a2
@ a1
@ a0
@ a4
@ a3 )
@ a3 ) )
| ( ( f @ a0 @ a3 @ a3 @ a1 @ a4 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a0
@ a2
@ a3
@ a1
@ a0
@ a4 )
@ ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 )
@ ( X1 @ a2 @ a3 @ a1 @ a0 @ a4 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y2
@ a2
@ a3
@ a1
@ a0
@ a4 )
@ a4 ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a0
@ a1
@ a2
@ a4
@ a3
@ a0 )
@ ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 )
@ ( X1 @ a1 @ a2 @ a4 @ a3 @ a0 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y2
@ a1
@ a2
@ a4
@ a3
@ a0 )
@ a0 ) )
| ( a3
!= ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a0
@ a2
@ a4
@ a3
@ a0
@ a1 ) ) ),
inference(equality_resolution,[],[f8]) ).
thf(f15,plain,
! [X0: $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i] :
( ( a3
!= ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a4
!= ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( a3 != a3 )
| ( a0 != a0 )
| ( a4
!= ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ a0 @ ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ ( X1 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ a4 @ a0 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ a0 @ ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ ( X1 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ a0 @ a3 ) )
| ( ( f @ a0 @ a3 @ a3 @ a1 @ a4 )
!= ( f @ a0 @ ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ ( X1 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ a1 @ a4 ) )
| ( a3
!= ( X1 @ a1 @ a4 @ a0 @ a3 @ a2 ) ) ),
inference(beta-eta_normalization,[],[f11]) ).
thf(f16,plain,
! [X0: $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i] :
( ( ( f @ a0 @ a3 @ a3 @ a1 @ a4 )
!= ( f @ a0 @ ( X0 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ ( X1 @ a2 @ a3 @ a1 @ a0 @ a4 ) @ a1 @ a4 ) )
| ( a4
!= ( X0 @ a1 @ a4 @ a0 @ a3 @ a2 ) )
| ( a3
!= ( X1 @ a1 @ a4 @ a0 @ a3 @ a2 ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ a0 @ ( X0 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ ( X1 @ a1 @ a2 @ a4 @ a3 @ a0 ) @ a4 @ a0 ) )
| ( a4
!= ( X0 @ a2 @ a4 @ a3 @ a0 @ a1 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ a0 @ ( X0 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ ( X1 @ a2 @ a1 @ a0 @ a4 @ a3 ) @ a0 @ a3 ) )
| ( a3
!= ( X1 @ a2 @ a4 @ a3 @ a0 @ a1 ) ) ),
inference(trivial_inequality_removal,[],[f15]) ).
thf(f38,plain,
( ( a4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y1
@ a2
@ a4
@ a3
@ a0
@ a1 ) )
| ( a4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y1
@ a1
@ a4
@ a0
@ a3
@ a2 ) )
| ( a3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a3
@ a1
@ a4
@ a0
@ a3
@ a2 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ a0
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y1
@ a2
@ a1
@ a0
@ a4
@ a3 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a3
@ a2
@ a1
@ a0
@ a4
@ a3 )
@ a0
@ a3 ) )
| ( a3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a3
@ a2
@ a4
@ a3
@ a0
@ a1 ) )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ a0
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : Y1
@ a1
@ a2
@ a4
@ a3
@ a0 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] : a3
@ a1
@ a2
@ a4
@ a3
@ a0 )
@ a4
@ a0 ) ) ),
inference(equality_resolution,[],[f16]) ).
thf(f46,plain,
( ( a3 != a3 )
| ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) )
| ( a4 != a4 )
| ( a4 != a4 )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
| ( a3 != a3 ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f47,plain,
( ( ( f @ a0 @ a2 @ a3 @ a4 @ a0 )
!= ( f @ a0 @ a2 @ a3 @ a4 @ a0 ) )
| ( ( f @ a0 @ a1 @ a3 @ a0 @ a3 )
!= ( f @ a0 @ a1 @ a3 @ a0 @ a3 ) )
| ( a3 != a3 )
| ( a4 != a4 ) ),
inference(duplicate_literal_removal,[],[f46]) ).
thf(f48,plain,
$false,
inference(trivial_inequality_removal,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO885^1.055.005 : 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 : n026.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 17:27:42 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
% 0.08/0.25 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
% 0.20/0.31 % (909102)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.31 % (909111)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1448735351:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.31 % (909111)Refutation not found, incomplete strategy
% 0.20/0.31 % (909111)------------------------------
% 0.20/0.31 % (909111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (909111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (909111)CaDiCaL version: 2.1.3
% 0.20/0.31 % (909111)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31 % (909111)Time elapsed: 0.001 s
% 0.20/0.31 % (909111)Peak memory usage: 12 MB
% 0.20/0.31 % (909111)Instructions burned: 5 (million)
% 0.20/0.31 % (909111)------------------------------
% 0.20/0.31 % (909111)------------------------------
% 0.20/0.31 % (909113)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.31 % (909113)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
% 0.20/0.31 % (909109)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3054398203:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.31 % (909107)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2792731324:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.31 % (909108)lrs+10_16_si=on:nwc=1.5:random_seed=728384883:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.31 % (909112)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4164158383:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.31 % (909110)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=2955419822: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)
% 0.20/0.31 % (909113)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=1287143617:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.31 % (909109)Instruction limit reached!
% 0.20/0.31 % (909109)------------------------------
% 0.20/0.31 % (909109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (909109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (909109)CaDiCaL version: 2.1.3
% 0.20/0.31 % (909109)Termination reason: Instruction limit
% 0.20/0.31 % (909109)Termination phase: Saturation
% 0.20/0.31 % (909109)Time elapsed: 0.003 s
% 0.20/0.31 % (909109)Peak memory usage: 12 MB
% 0.20/0.31 % (909109)Instructions burned: 5 (million)
% 0.20/0.31 % (909107)Refutation not found, incomplete strategy
% 0.20/0.31 % (909107)------------------------------
% 0.20/0.31 % (909107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (909107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (909107)CaDiCaL version: 2.1.3
% 0.20/0.31 % (909107)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31 % (909107)Time elapsed: 0.003 s
% 0.20/0.31 % (909107)Peak memory usage: 12 MB
% 0.20/0.31 % (909107)Instructions burned: 4 (million)
% 0.20/0.31 % (909107)------------------------------
% 0.20/0.31 % (909107)------------------------------
% 0.20/0.31 % (909113)Refutation not found, incomplete strategy
% 0.20/0.31 % (909113)------------------------------
% 0.20/0.31 % (909113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (909113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (909113)CaDiCaL version: 2.1.3
% 0.20/0.31 % (909113)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31 % (909113)Time elapsed: 0.003 s
% 0.20/0.31 % (909113)Peak memory usage: 12 MB
% 0.20/0.31 % (909110)Refutation not found, incomplete strategy
% 0.20/0.31 % (909110)------------------------------
% 0.20/0.31 % (909110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (909113)Instructions burned: 4 (million)
% 0.20/0.31 % (909110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (909110)CaDiCaL version: 2.1.3
% 0.20/0.31 % (909110)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.31 % (909110)Time elapsed: 0.003 s
% 0.20/0.31 % (909110)Peak memory usage: 12 MB
% 0.20/0.31 % (909110)Instructions burned: 6 (million)
% 0.20/0.31 % (909113)------------------------------
% 0.20/0.31 % (909113)------------------------------
% 0.20/0.31 % (909110)------------------------------
% 0.20/0.31 % (909110)------------------------------
% 0.20/0.31 % (909115)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=871531189:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.31 % (909108) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-909102-909108"...
% 0.20/0.31 % (909112) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-909102-909112"...
% 0.20/0.31 % (909115)Instruction limit reached!
% 0.20/0.31 % (909115)------------------------------
% 0.20/0.31 % (909115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (909115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (909115)CaDiCaL version: 2.1.3
% 0.20/0.31 % (909115)Termination reason: Instruction limit
% 0.20/0.31 % (909115)Termination phase: Saturation
% 0.20/0.31 % (909115)Time elapsed: 0.001 s
% 0.20/0.31 % (909115)Peak memory usage: 12 MB
% 0.20/0.31 % (909115)Instructions burned: 4 (million)
% 0.20/0.31 % (909108)...printing done.
% 0.20/0.31 % (909112)...printing done.
% 0.20/0.31 % (909108)Refutation found. Thanks to Tanya!
% 0.20/0.31 % SZS status Theorem for theBenchmark
% 0.20/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31 % (909108)------------------------------
% 0.20/0.31 % (909108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (909108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (909108)CaDiCaL version: 2.1.3
% 0.20/0.31 % (909108)Termination reason: Refutation
% 0.20/0.31 % (909108)Time elapsed: 0.009 s
% 0.20/0.31 % (909108)Peak memory usage: 12 MB
% 0.20/0.31 % (909108)Instructions burned: 19 (million)
% 0.20/0.31 % (909102)Success in time 0.054 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------