%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT332_1 : TPTP v9.3.1. Released v7.0.0.
% 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 : Tue Sep 29 09:47:47 AM UTC 2026
% Result : Unsatisfiable 6.97s 1.78s
% Output : Refutation 6.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 69 ( 18 unt; 0 typ; 4 def)
% Number of atoms : 140 ( 23 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 130 ( 59 ~; 55 |; 2 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 77 ( 32 atm; 0 fun; 12 num; 33 var)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 49 ( 0 sgn 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'Set': $tType ).
tff(type_def_6,type,
'Array[Int,Int]': $tType ).
tff(func_def_0,type,
sup: 'Set' > $int ).
tff(func_def_1,type,
arr: 'Array[Int,Int]' ).
tff(func_def_2,type,
s1: 'Set' ).
tff(func_def_3,type,
i1: $int ).
tff(func_def_4,type,
delete: ( 'Set' * $int ) > 'Set' ).
tff(func_def_5,type,
'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]': ( 'Array[Int,Int]' * $int * $int ) > 'Array[Int,Int]' ).
tff(func_def_6,type,
'const:(Int)>Array[Int,Int]': $int > 'Array[Int,Int]' ).
tff(func_def_7,type,
g: $int > $int ).
tff(func_def_8,type,
s0: 'Set' ).
tff(func_def_9,type,
'select:(Array[Int,Int]*Int)>Int': ( 'Array[Int,Int]' * $int ) > $int ).
tff(func_def_10,type,
insert: ( 'Set' * $int ) > 'Set' ).
tff(func_def_15,type,
sK0: ( 'Array[Int,Int]' * 'Array[Int,Int]' ) > $int ).
tff(func_def_17,type,
'$inst1': $int ).
tff(func_def_18,type,
'$inst2': $int ).
tff(pred_def_1,type,
member: ( $int * 'Set' ) > $o ).
tff(f2,axiom,
! [X0: $int,X2: 'Set',X1: $int] :
( ( X0 != X1 )
=> ( member(X0,insert(X2,X1))
<=> member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).
tff(f6,axiom,
! [X0: 'Set'] : member(sup(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6) ).
tff(f7,axiom,
! [X1: $int,X0: 'Set'] :
( member(X1,X0)
=> $lesseq(X1,sup(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7) ).
tff(f9,axiom,
! [X0: $int] :
( $greater(X0,0)
=> $less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_9) ).
tff(f10,axiom,
! [X0: $int] : $greater(g(X0),0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_10) ).
tff(f11,negated_conjecture,
s1 = insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,g(i1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_11) ).
tff(f12,axiom,
sup(s1) != sup(s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_12) ).
tff(f17,plain,
! [X1: $int,X0: 'Set'] :
( member(X1,X0)
=> ~ $less(sup(X0),X1) ),
inference(theory_normalization,[],[f7]) ).
tff(f18,plain,
! [X0: $int] : $less(0,g(X0)),
inference(theory_normalization,[],[f10]) ).
tff(f19,plain,
! [X0: $int] :
( $less(0,X0)
=> $less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0)) ),
inference(theory_normalization,[],[f9]) ).
tff(f25,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(definition,[],[tha_order_totality]) ).
tff(f34,plain,
! [X1: 'Set',X0: $int] :
( member(X0,X1)
=> ~ $less(sup(X1),X0) ),
inference(rectify,[],[f17]) ).
tff(f37,plain,
! [X0: $int,X2: $int,X1: 'Set'] :
( ( X0 != X2 )
=> ( member(X0,insert(X1,X2))
<=> member(X0,X1) ) ),
inference(rectify,[],[f2]) ).
tff(f39,plain,
! [X1: 'Set',X2: $int,X0: $int] :
( ( X0 = X2 )
| ( member(X0,insert(X1,X2))
<=> member(X0,X1) ) ),
inference(ennf_transformation,[],[f37]) ).
tff(f42,plain,
! [X1: 'Set',X0: $int] :
( ~ member(X0,X1)
| ~ $less(sup(X1),X0) ),
inference(ennf_transformation,[],[f34]) ).
tff(f45,plain,
! [X0: $int] :
( ~ $less(0,X0)
| $less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0)) ),
inference(ennf_transformation,[],[f19]) ).
tff(f52,plain,
! [X1: 'Set',X2: $int,X0: $int] :
( ( X0 = X2 )
| ( ( member(X0,insert(X1,X2))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ member(X0,insert(X1,X2)) ) ) ),
inference(nnf_transformation,[],[f39]) ).
tff(f53,plain,
! [X0: 'Set',X1: $int,X2: $int] :
( ( X1 = X2 )
| ( ( member(X2,insert(X0,X1))
| ~ member(X2,X0) )
& ( member(X2,X0)
| ~ member(X2,insert(X0,X1)) ) ) ),
inference(rectify,[],[f52]) ).
tff(f55,plain,
! [X0: 'Set',X1: $int] :
( ~ member(X1,X0)
| ~ $less(sup(X0),X1) ),
inference(rectify,[],[f42]) ).
tff(f59,plain,
s1 = insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,g(i1))),
inference(cnf_transformation,[],[f11]) ).
tff(f62,plain,
! [X0: $int] : $less(0,g(X0)),
inference(cnf_transformation,[],[f18]) ).
tff(f63,plain,
sup(s0) != sup(s1),
inference(cnf_transformation,[],[f12]) ).
tff(f66,plain,
! [X2: $int,X0: 'Set',X1: $int] :
( ~ member(X2,insert(X0,X1))
| ( X1 = X2 )
| member(X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f67,plain,
! [X2: $int,X0: 'Set',X1: $int] :
( member(X2,insert(X0,X1))
| ( X1 = X2 )
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f69,plain,
! [X0: $int] :
( $less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0))
| ~ $less(0,X0) ),
inference(cnf_transformation,[],[f45]) ).
tff(f71,plain,
! [X0: 'Set'] : member(sup(X0),X0),
inference(cnf_transformation,[],[f6]) ).
tff(f72,plain,
! [X0: 'Set',X1: $int] :
( ~ $less(sup(X0),X1)
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
tff(f122,plain,
! [X0: 'Set',X1: $int] :
( ~ member(X1,X0)
| ( sup(X0) = X1 )
| $less(X1,sup(X0)) ),
inference(resolution,[],[f27,f72]) ).
tff(f211,plain,
! [X0: $int] :
( ~ member(X0,s1)
| ( 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) = X0 )
| member(X0,s0) ),
inference(superposition,[],[f66,f59]) ).
tff(f212,plain,
( member(sup(s1),s0)
| ( 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) = sup(s1) ) ),
inference(resolution,[],[f211,f71]) ).
tff(f216,definition,
( spl3_1
<=> member(sup(s1),s0) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f218,plain,
( member(sup(s1),s0)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f216]) ).
tff(f220,definition,
( spl3_2
<=> ( 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) = sup(s1) ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f222,plain,
( ( 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) = sup(s1) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f220]) ).
tff(f223,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f212,f220,f216]) ).
tff(f229,plain,
! [X0: $int] :
( ~ member(X0,s0)
| ( 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) = X0 )
| member(X0,s1) ),
inference(superposition,[],[f67,f59]) ).
tff(f234,plain,
( $less(sup(s1),sup(s0))
| ~ $less(0,g(i1))
| ~ spl3_2 ),
inference(superposition,[],[f69,f222]) ).
tff(f235,plain,
( $less(sup(s1),sup(s0))
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f234,f62]) ).
tff(f239,plain,
( ~ member(sup(s0),s1)
| ~ spl3_2 ),
inference(resolution,[],[f235,f72]) ).
tff(f255,plain,
( member(sup(s0),s1)
| ( sup(s0) = 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) ) ),
inference(resolution,[],[f229,f71]) ).
tff(f257,plain,
( ( sup(s0) = 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) )
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f255,f239]) ).
tff(f265,plain,
( $less(sup(s0),sup(s0))
| ~ $less(0,g(i1))
| ~ spl3_2 ),
inference(superposition,[],[f69,f257]) ).
tff(f268,plain,
( ~ $less(0,g(i1))
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f265,f25]) ).
tff(f273,plain,
( $false
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f268,f62]) ).
tff(f274,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f273]) ).
tff(f276,definition,
( spl3_3
<=> member(sup(s0),s1) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f278,plain,
( member(sup(s0),s1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f276]) ).
tff(f280,definition,
( spl3_4
<=> ( sup(s0) = 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f282,plain,
( ( sup(s0) = 'select:(Array[Int,Int]*Int)>Int'(arr,g(i1)) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f280]) ).
tff(f283,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f255,f280,f276]) ).
tff(f316,plain,
( $less(sup(s0),sup(s0))
| ~ $less(0,g(i1))
| ~ spl3_4 ),
inference(superposition,[],[f69,f282]) ).
tff(f317,plain,
( ~ $less(0,g(i1))
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f316,f25]) ).
tff(f319,plain,
( $false
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f317,f62]) ).
tff(f320,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f319]) ).
tff(f700,plain,
( $less(sup(s0),sup(s1))
| ( sup(s0) = sup(s1) )
| ~ spl3_3 ),
inference(resolution,[],[f122,f278]) ).
tff(f703,plain,
( $less(sup(s0),sup(s1))
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f700,f63]) ).
tff(f707,plain,
( ~ member(sup(s1),s0)
| ~ spl3_3 ),
inference(resolution,[],[f703,f72]) ).
tff(f710,plain,
( $false
| ~ spl3_1
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f707,f218]) ).
tff(f711,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f710]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f223]) ).
cnf(s5,plain,
~ spl3_2,
inference(sat_conversion,[],[f274]) ).
cnf(s6,plain,
( spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f283]) ).
cnf(s8,plain,
~ spl3_4,
inference(sat_conversion,[],[f320]) ).
cnf(s21,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(sat_conversion,[],[f711]) ).
cnf(s26,plain,
spl3_3,
inference(rat,[],[s6,s8]) ).
cnf(s27,plain,
~ spl3_1,
inference(rat,[],[s21,s26]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s1,s5,s27]) ).
tff(f712,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : DAT332_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 % Computer : n009.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Tue Sep 29 00:19:45 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 Running first-order theorem proving
% 0.11/0.26 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.49/1.27 % (3643117)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.49/1.27 % (3643244)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=925264199:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.49/1.27 % (3643244)Refutation not found, incomplete strategy
% 3.49/1.27 % (3643244)------------------------------
% 3.49/1.27 % (3643244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.27 % (3643244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.27 % (3643244)CaDiCaL version: 2.1.3
% 3.49/1.27 % (3643244)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.27 % (3643244)Time elapsed: 0.016 s
% 3.49/1.27 % (3643244)Peak memory usage: 111 MB
% 3.49/1.27 % (3643244)Instructions burned: 5 (million)
% 3.49/1.27 % (3643250)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=611771725:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.49/1.27 % (3643246)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3852430098:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.49/1.27 % (3643248)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2203793340:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.49/1.27 % (3643250)Instruction limit reached!
% 3.49/1.27 % (3643250)------------------------------
% 3.49/1.27 % (3643250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.27 % (3643250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.27 % (3643250)CaDiCaL version: 2.1.3
% 3.49/1.27 % (3643250)Termination reason: Instruction limit
% 3.49/1.27 % (3643250)Termination phase: Saturation
% 3.49/1.27 % (3643250)Time elapsed: 0.006 s
% 3.49/1.27 % (3643250)Peak memory usage: 88 MB
% 3.49/1.27 % (3643250)Instructions burned: 9 (million)
% 3.49/1.27 % (3643253)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1894998652:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.49/1.27 % (3643255)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2323765760:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.49/1.27 % (3643252)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1168033072:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.49/1.27 % (3643252)Instruction limit reached!
% 3.49/1.27 % (3643252)------------------------------
% 3.49/1.27 % (3643252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.27 % (3643252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.27 % (3643252)CaDiCaL version: 2.1.3
% 3.49/1.27 % (3643252)Termination reason: Instruction limit
% 3.49/1.27 % (3643252)Termination phase: Saturation
% 3.49/1.27 % (3643252)Time elapsed: 0.004 s
% 3.49/1.27 % (3643252)Peak memory usage: 88 MB
% 3.49/1.27 % (3643252)Instructions burned: 5 (million)
% 3.49/1.27 % (3643255)Instruction limit reached!
% 3.49/1.27 % (3643255)------------------------------
% 3.49/1.27 % (3643255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.27 % (3643255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.27 % (3643255)CaDiCaL version: 2.1.3
% 3.49/1.27 % (3643255)Termination reason: Instruction limit
% 3.49/1.27 % (3643255)Termination phase: Saturation
% 3.49/1.27 % (3643255)Time elapsed: 0.047 s
% 3.49/1.27 % (3643255)Peak memory usage: 115 MB
% 3.49/1.27 % (3643255)Instructions burned: 34 (million)
% 3.49/1.27 % (3643253)Instruction limit reached!
% 3.49/1.27 % (3643253)------------------------------
% 3.49/1.27 % (3643253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.27 % (3643253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.27 % (3643253)CaDiCaL version: 2.1.3
% 3.49/1.27 % (3643253)Termination reason: Instruction limit
% 3.49/1.27 % (3643253)Termination phase: Saturation
% 3.49/1.27 % (3643253)Time elapsed: 0.053 s
% 3.49/1.27 % (3643253)Peak memory usage: 115 MB
% 3.49/1.27 % (3643253)Instructions burned: 46 (million)
% 3.49/1.27 % (3643244)------------------------------
% 3.49/1.27 % (3643244)------------------------------
% 3.49/1.27 % (3643290)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1937057465:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.69/1.56 % (3643248)Instruction limit reached!
% 4.69/1.56 % (3643248)------------------------------
% 4.69/1.56 % (3643248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.56 % (3643248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.56 % (3643248)CaDiCaL version: 2.1.3
% 4.69/1.56 % (3643248)Termination reason: Instruction limit
% 4.69/1.56 % (3643248)Termination phase: Saturation
% 4.69/1.56 % (3643248)Time elapsed: 0.138 s
% 4.69/1.56 % (3643248)Peak memory usage: 117 MB
% 4.69/1.56 % (3643248)Instructions burned: 202 (million)
% 4.69/1.56 % (3643289)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2990059193:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.69/1.56 % (3643289)Refutation not found, incomplete strategy
% 4.69/1.56 % (3643289)------------------------------
% 4.69/1.56 % (3643289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.56 % (3643289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.56 % (3643289)CaDiCaL version: 2.1.3
% 4.69/1.56 % (3643289)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.56 % (3643289)Time elapsed: 0.001 s
% 4.69/1.56 % (3643289)Peak memory usage: 88 MB
% 4.69/1.56 % (3643290)Instruction limit reached!
% 4.69/1.56 % (3643290)------------------------------
% 4.69/1.56 % (3643290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.56 % (3643290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.56 % (3643290)CaDiCaL version: 2.1.3
% 4.69/1.56 % (3643290)Termination reason: Instruction limit
% 4.69/1.56 % (3643290)Termination phase: Saturation
% 4.69/1.56 % (3643290)Time elapsed: 0.022 s
% 4.69/1.56 % (3643290)Peak memory usage: 88 MB
% 4.69/1.56 % (3643290)Instructions burned: 30 (million)
% 4.69/1.56 % (3643291)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3610841616:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.69/1.56 % (3643292)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4171804975:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.69/1.56 % (3643291)Instruction limit reached!
% 4.69/1.56 % (3643291)------------------------------
% 4.69/1.56 % (3643291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.56 % (3643291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.56 % (3643291)CaDiCaL version: 2.1.3
% 4.69/1.56 % (3643291)Termination reason: Instruction limit
% 4.69/1.56 % (3643291)Termination phase: Saturation
% 4.69/1.56 % (3643291)Time elapsed: 0.012 s
% 4.69/1.56 % (3643291)Peak memory usage: 90 MB
% 4.69/1.56 % (3643291)Instructions burned: 16 (million)
% 4.69/1.56 % (3643292)Instruction limit reached!
% 4.69/1.56 % (3643292)------------------------------
% 4.69/1.56 % (3643292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.56 % (3643292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.56 % (3643292)CaDiCaL version: 2.1.3
% 4.69/1.56 % (3643292)Termination reason: Instruction limit
% 4.69/1.56 % (3643292)Termination phase: Saturation
% 4.69/1.56 % (3643292)Time elapsed: 0.011 s
% 4.69/1.56 % (3643292)Peak memory usage: 89 MB
% 4.69/1.56 % (3643292)Instructions burned: 24 (million)
% 4.69/1.56 % (3643246)Instruction limit reached!
% 4.69/1.56 % (3643246)------------------------------
% 4.69/1.56 % (3643246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.56 % (3643246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.56 % (3643246)CaDiCaL version: 2.1.3
% 4.69/1.56 % (3643246)Termination reason: Instruction limit
% 4.69/1.56 % (3643246)Termination phase: Saturation
% 4.69/1.56 % (3643246)Time elapsed: 0.220 s
% 4.69/1.56 % (3643246)Peak memory usage: 116 MB
% 4.69/1.56 % (3643246)Instructions burned: 308 (million)
% 4.69/1.56 % (3643296)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2225354840:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.69/1.56 % (3643295)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3667920920:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.69/1.56 % (3643295)Refutation not found, incomplete strategy
% 4.69/1.56 % (3643295)------------------------------
% 4.69/1.59 % (3643295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643295)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643295)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.59 % (3643295)Time elapsed: 0.002 s
% 4.69/1.59 % (3643295)Peak memory usage: 89 MB
% 4.69/1.59 % (3643295)Instructions burned: 1 (million)
% 4.69/1.59 % (3643297)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2166547296:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 4.69/1.59 % (3643297)Instruction limit reached!
% 4.69/1.59 % (3643297)------------------------------
% 4.69/1.59 % (3643297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643297)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643297)Termination reason: Instruction limit
% 4.69/1.59 % (3643297)Termination phase: Saturation
% 4.69/1.59 % (3643297)Time elapsed: 0.003 s
% 4.69/1.59 % (3643297)Peak memory usage: 88 MB
% 4.69/1.59 % (3643297)Instructions burned: 3 (million)
% 4.69/1.59 % (3643301)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=593058928:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.69/1.59 % (3643301)Refutation not found, incomplete strategy
% 4.69/1.59 % (3643301)------------------------------
% 4.69/1.59 % (3643301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643301)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643301)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.59 % (3643301)Time elapsed: 0.001 s
% 4.69/1.59 % (3643301)Peak memory usage: 88 MB
% 4.69/1.59 % (3643301)Instructions burned: 1 (million)
% 4.69/1.59 % (3643296)Instruction limit reached!
% 4.69/1.59 % (3643296)------------------------------
% 4.69/1.59 % (3643296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643296)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643296)Termination reason: Instruction limit
% 4.69/1.59 % (3643296)Termination phase: Saturation
% 4.69/1.59 % (3643296)Time elapsed: 0.052 s
% 4.69/1.59 % (3643296)Peak memory usage: 89 MB
% 4.69/1.59 % (3643296)Instructions burned: 85 (million)
% 4.69/1.59 % (3643300)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3290572014:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.69/1.59 % (3643300)Refutation not found, incomplete strategy
% 4.69/1.59 % (3643300)------------------------------
% 4.69/1.59 % (3643300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643300)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643300)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.59 % (3643300)Time elapsed: 0.001 s
% 4.69/1.59 % (3643300)Peak memory usage: 87 MB
% 4.69/1.59 % (3643302)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3001625223:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.69/1.59 % (3643289)------------------------------
% 4.69/1.59 % (3643289)------------------------------
% 4.69/1.59 % (3643309)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3647601448:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 4.69/1.59 % (3643307)lrs+10_1_thi=all:si=on:fd=off:random_seed=704369408:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 4.69/1.59 % (3643309)Refutation not found, incomplete strategy
% 4.69/1.59 % (3643309)------------------------------
% 4.69/1.59 % (3643309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643309)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643309)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.59 % (3643309)Time elapsed: 0.002 s
% 4.69/1.59 % (3643309)Peak memory usage: 88 MB
% 4.69/1.59 % (3643309)Instructions burned: 1 (million)
% 4.69/1.59 % (3643301)------------------------------
% 4.69/1.59 % (3643301)------------------------------
% 4.69/1.59 % (3643302)Instruction limit reached!
% 4.69/1.59 % (3643302)------------------------------
% 4.69/1.59 % (3643302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643302)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643302)Termination reason: Instruction limit
% 4.69/1.59 % (3643302)Termination phase: Saturation
% 4.69/1.59 % (3643302)Time elapsed: 0.097 s
% 4.69/1.59 % (3643302)Peak memory usage: 133 MB
% 4.69/1.59 % (3643302)Instructions burned: 67 (million)
% 4.69/1.59 % (3643307)First to succeed.
% 4.69/1.59 % (3643307)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3643117"
% 4.69/1.59 % (3643295)------------------------------
% 4.69/1.59 % (3643295)------------------------------
% 4.69/1.59 % (3643311)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3223085125:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 4.69/1.59 % (3643311)Refutation not found, incomplete strategy
% 4.69/1.59 % (3643311)------------------------------
% 4.69/1.59 % (3643311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643311)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643311)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.59 % (3643311)Time elapsed: 0.001 s
% 4.69/1.59 % (3643311)Peak memory usage: 87 MB
% 4.69/1.59 % (3643314)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=4172894687:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 4.69/1.59 % (3643314)Instruction limit reached!
% 4.69/1.59 % (3643314)------------------------------
% 4.69/1.59 % (3643314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643314)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643314)Termination reason: Instruction limit
% 4.69/1.59 % (3643314)Termination phase: Saturation
% 4.69/1.59 % (3643314)Time elapsed: 0.002 s
% 4.69/1.59 % (3643314)Peak memory usage: 89 MB
% 4.69/1.59 % (3643314)Instructions burned: 3 (million)
% 4.69/1.59 % (3643300)------------------------------
% 4.69/1.59 % (3643300)------------------------------
% 4.69/1.59 % (3643315)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1737376834:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 4.69/1.59 % (3643319)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3605798364:i=26:canc=cautious:av=off:rtra=on_2993 on theBenchmark for (2993ds/26Mi)
% 4.69/1.59 % (3643319)Refutation not found, incomplete strategy
% 4.69/1.59 % (3643319)------------------------------
% 4.69/1.59 % (3643319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643319)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643319)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.59 % (3643319)Time elapsed: 0.001 s
% 4.69/1.59 % (3643319)Peak memory usage: 88 MB
% 4.69/1.59 % (3643319)Instructions burned: 1 (million)
% 4.69/1.59 % (3643316)dis+10_1_si=on:random_seed=3743394167:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 4.69/1.59 % (3643316)Instruction limit reached!
% 4.69/1.59 % (3643316)------------------------------
% 4.69/1.59 % (3643316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.59 % (3643316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.59 % (3643316)CaDiCaL version: 2.1.3
% 4.69/1.59 % (3643316)Termination reason: Instruction limit
% 4.69/1.59 % (3643316)Termination phase: Saturation
% 4.69/1.59 % (3643316)Time elapsed: 0.008 s
% 4.69/1.59 % (3643316)Peak memory usage: 88 MB
% 4.69/1.59 % (3643316)Instructions burned: 11 (million)
% 4.69/1.59 % (3643309)------------------------------
% 4.69/1.59 % (3643309)------------------------------
% 4.69/1.59 % (3643320)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2020245997:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2992 on theBenchmark for (2992ds/35Mi)
% 4.69/1.59 % (3643315)Instruction limit reached!
% 4.69/1.59 % (3643315)------------------------------
% 6.97/1.78 % (3643315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.78 % (3643315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.78 % (3643315)CaDiCaL version: 2.1.3
% 6.97/1.78 % (3643315)Termination reason: Instruction limit
% 6.97/1.78 % (3643315)Termination phase: Saturation
% 6.97/1.78 % (3643315)Time elapsed: 0.120 s
% 6.97/1.78 % (3643315)Peak memory usage: 117 MB
% 6.97/1.78 % (3643315)Instructions burned: 128 (million)
% 6.97/1.78 % (3643320)Instruction limit reached!
% 6.97/1.78 % (3643320)------------------------------
% 6.97/1.78 % (3643320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.78 % (3643320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.78 % (3643320)CaDiCaL version: 2.1.3
% 6.97/1.78 % (3643320)Termination reason: Instruction limit
% 6.97/1.78 % (3643320)Termination phase: Saturation
% 6.97/1.78 % (3643320)Time elapsed: 0.029 s
% 6.97/1.78 % (3643320)Peak memory usage: 89 MB
% 6.97/1.78 % (3643320)Instructions burned: 36 (million)
% 6.97/1.78 % (3643307)Refutation found. Thanks to Tanya!
% 6.97/1.78 % SZS status Unsatisfiable for theBenchmark
% 6.97/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 6.97/1.78 % (3643307)------------------------------
% 6.97/1.78 % (3643307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.78 % (3643307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.78 % (3643307)CaDiCaL version: 2.1.3
% 6.97/1.78 % (3643307)Termination reason: Refutation
% 6.97/1.78 % (3643307)Time elapsed: 0.052 s
% 6.97/1.78 % (3643307)Peak memory usage: 117 MB
% 6.97/1.78 % (3643307)Instructions burned: 35 (million)
% 6.97/1.78 % (3643307)------------------------------
% 6.97/1.78 % (3643307)------------------------------
% 6.97/1.78 % (3643117)Success in time 0.893 s
% 6.97/1.78 % Vampire exiting
%------------------------------------------------------------------------------