%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU223+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:47:50 PM UTC 2026
% Result : Theorem 1.74s 1.41s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 13 unt; 3 def)
% Number of atoms : 239 ( 27 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 290 ( 115 ~; 111 |; 45 &)
% ( 10 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 98 ( 0 sgn 86 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( relation(X2)
=> ( X2 = relation_dom_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_relat_1) ).
fof(f69,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f91,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f220,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).
fof(f221,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f220]) ).
fof(f230,axiom,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_funct_1) ).
fof(f258,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_dom_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) ) ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f293,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f311,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f312,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f311]) ).
fof(f438,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,relation_dom(relation_dom_restriction(X2,X0)))
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f221]) ).
fof(f439,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,relation_dom(relation_dom_restriction(X2,X0)))
& relation(X2)
& function(X2) ),
inference(flattening,[],[f438]) ).
fof(f445,plain,
! [X0,X1,X2] :
( ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(ennf_transformation,[],[f230]) ).
fof(f446,plain,
! [X0,X1,X2] :
( ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(flattening,[],[f445]) ).
fof(f465,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f258]) ).
fof(f466,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(flattening,[],[f465]) ).
fof(f467,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0) )
& ( ( in(X5,X1)
& in(ordered_pair(X5,X6),X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(rectify,[],[f466]) ).
fof(f468,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = relation_dom_restriction(X0,X1)
| ( ( ~ in(sK3(X0,X1,X2),X1)
| ~ in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0)
| ~ in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X2) )
& ( ( in(sK3(X0,X1,X2),X1)
& in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0) )
| in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0) )
& ( ( in(X5,X1)
& in(ordered_pair(X5,X6),X0) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_dom_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK4(X0,X1,X2))],[f467]) ).
fof(f608,plain,
( apply(relation_dom_restriction(sK80,sK78),sK79) != apply(sK80,sK79)
& in(sK79,relation_dom(relation_dom_restriction(sK80,sK78)))
& relation(sK80)
& function(sK80) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78,sK79,sK80]),skolemize(X0,sK78),skolemize(X1,sK79),skolemize(X2,sK80)],[f439]) ).
fof(f614,plain,
! [X0,X1,X2] :
( ( ( in(ordered_pair(X0,X1),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1 )
& ( ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) )
| ~ in(ordered_pair(X0,X1),X2) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(nnf_transformation,[],[f446]) ).
fof(f615,plain,
! [X0,X1,X2] :
( ( ( in(ordered_pair(X0,X1),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1 )
& ( ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) )
| ~ in(ordered_pair(X0,X1),X2) ) )
| ~ relation(X2)
| ~ function(X2) ),
inference(flattening,[],[f614]) ).
fof(f636,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X5,X6),X2)
| relation_dom_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f468]) ).
fof(f783,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f811,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f1017,plain,
function(sK80),
inference(cnf_transformation,[],[f608]) ).
fof(f1018,plain,
relation(sK80),
inference(cnf_transformation,[],[f608]) ).
fof(f1019,plain,
in(sK79,relation_dom(relation_dom_restriction(sK80,sK78))),
inference(cnf_transformation,[],[f608]) ).
fof(f1020,plain,
apply(relation_dom_restriction(sK80,sK78),sK79) != apply(sK80,sK79),
inference(cnf_transformation,[],[f608]) ).
fof(f1035,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X1),X2)
| apply(X2,X0) = X1
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f615]) ).
fof(f1037,plain,
! [X2,X0,X1] :
( in(ordered_pair(X0,X1),X2)
| ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f615]) ).
fof(f1058,plain,
! [X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f636]) ).
fof(f1138,plain,
! [X2,X0] :
( ~ in(X0,relation_dom(X2))
| in(ordered_pair(X0,apply(X2,X0)),X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(equality_resolution,[],[f1037]) ).
fof(f1385,definition,
( spl83_5
<=> relation(relation_dom_restriction(sK80,sK78)) ),
introduced(definition,[new_symbols(definition,[spl83_5])],[avatar_definition]) ).
fof(f1386,plain,
( relation(relation_dom_restriction(sK80,sK78))
| ~ spl83_5 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1387,plain,
( ~ relation(relation_dom_restriction(sK80,sK78))
| spl83_5 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1393,plain,
( ~ relation(sK80)
| spl83_5 ),
inference(resolution,[],[f1387,f783]) ).
fof(f1395,plain,
( $false
| spl83_5 ),
inference(forward_subsumption_resolution,[],[f1393,f1018]) ).
fof(f1396,plain,
spl83_5,
inference(avatar_contradiction_clause,[],[f1395]) ).
fof(f1432,plain,
( in(ordered_pair(sK79,apply(relation_dom_restriction(sK80,sK78),sK79)),relation_dom_restriction(sK80,sK78))
| ~ relation(relation_dom_restriction(sK80,sK78))
| ~ function(relation_dom_restriction(sK80,sK78)) ),
inference(resolution,[],[f1138,f1019]) ).
fof(f1440,plain,
( in(ordered_pair(sK79,apply(relation_dom_restriction(sK80,sK78),sK79)),relation_dom_restriction(sK80,sK78))
| ~ function(relation_dom_restriction(sK80,sK78))
| ~ spl83_5 ),
inference(forward_subsumption_resolution,[],[f1432,f1386]) ).
fof(f1444,definition,
( spl83_7
<=> function(relation_dom_restriction(sK80,sK78)) ),
introduced(definition,[new_symbols(definition,[spl83_7])],[avatar_definition]) ).
fof(f1446,plain,
( ~ function(relation_dom_restriction(sK80,sK78))
| spl83_7 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1448,definition,
( spl83_8
<=> in(ordered_pair(sK79,apply(relation_dom_restriction(sK80,sK78),sK79)),relation_dom_restriction(sK80,sK78)) ),
introduced(definition,[new_symbols(definition,[spl83_8])],[avatar_definition]) ).
fof(f1450,plain,
( in(ordered_pair(sK79,apply(relation_dom_restriction(sK80,sK78),sK79)),relation_dom_restriction(sK80,sK78))
| ~ spl83_8 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1451,plain,
( ~ spl83_7
| spl83_8
| ~ spl83_5 ),
inference(avatar_split_clause,[],[f1440,f1385,f1448,f1444]) ).
fof(f1452,plain,
( ~ relation(sK80)
| ~ function(sK80)
| spl83_7 ),
inference(resolution,[],[f1446,f811]) ).
fof(f1454,plain,
( ~ function(sK80)
| spl83_7 ),
inference(forward_subsumption_resolution,[],[f1452,f1018]) ).
fof(f1455,plain,
( $false
| spl83_7 ),
inference(forward_subsumption_resolution,[],[f1454,f1017]) ).
fof(f1456,plain,
spl83_7,
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1590,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X5,X6),relation_dom_restriction(X0,X1))
| in(ordered_pair(X5,X6),X0)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f1058,f783]) ).
fof(f1593,plain,
( in(ordered_pair(sK79,apply(relation_dom_restriction(sK80,sK78),sK79)),sK80)
| ~ relation(sK80)
| ~ spl83_8 ),
inference(resolution,[],[f1590,f1450]) ).
fof(f1594,plain,
( in(ordered_pair(sK79,apply(relation_dom_restriction(sK80,sK78),sK79)),sK80)
| ~ spl83_8 ),
inference(forward_subsumption_resolution,[],[f1593,f1018]) ).
fof(f1596,plain,
( apply(relation_dom_restriction(sK80,sK78),sK79) = apply(sK80,sK79)
| ~ relation(sK80)
| ~ function(sK80)
| ~ spl83_8 ),
inference(resolution,[],[f1594,f1035]) ).
fof(f1602,plain,
( ~ relation(sK80)
| ~ function(sK80)
| ~ spl83_8 ),
inference(forward_subsumption_resolution,[],[f1596,f1020]) ).
fof(f1603,plain,
( ~ function(sK80)
| ~ spl83_8 ),
inference(forward_subsumption_resolution,[],[f1602,f1018]) ).
fof(f1604,plain,
( $false
| ~ spl83_8 ),
inference(forward_subsumption_resolution,[],[f1603,f1017]) ).
fof(f1605,plain,
~ spl83_8,
inference(avatar_contradiction_clause,[],[f1604]) ).
cnf(s4,plain,
spl83_5,
inference(sat_conversion,[],[f1396]) ).
cnf(s5,plain,
( ~ spl83_5
| ~ spl83_7
| spl83_8 ),
inference(sat_conversion,[],[f1451]) ).
cnf(s6,plain,
spl83_7,
inference(sat_conversion,[],[f1456]) ).
cnf(s8,plain,
~ spl83_8,
inference(sat_conversion,[],[f1605]) ).
cnf(s9,plain,
~ spl83_5,
inference(rat,[],[s5,s8,s6]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s4,s9]) ).
fof(f1606,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU223+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.46 % Computer : n001.cluster.edu
% 0.10/0.46 % Model : x86_64 x86_64
% 0.10/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.46 % Memory : 8046.5625MB
% 0.10/0.46 % OS : Linux 6.8.0-71-generic
% 0.10/0.46 % CPULimit : 300
% 0.10/0.46 % WCLimit : 300
% 0.10/0.46 % DateTime : Mon Sep 28 04:15:18 UTC 2026
% 0.10/0.46 % CPUTime :
% 0.10/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.49 Running first-order theorem proving
% 0.14/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.74/1.41 % (9485)Detected formulas, will run a generic FOF schedule.
% 1.74/1.41 % (9491)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=491257739:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.74/1.41 % (9492)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3906733227:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.74/1.41 % (9495)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2354109644:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.74/1.41 % (9493)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3318726541:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.74/1.41 % (9490)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1834112665:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.74/1.41 % (9494)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1905947813:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.74/1.41 % (9496)dis-21_1_sil=8000:lcm=predicate:random_seed=248742817:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.74/1.41 % (9495)First to succeed.
% 1.74/1.41 % (9495)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9485"
% 1.74/1.41 % (9493)Instruction limit reached!
% 1.74/1.41 % (9493)------------------------------
% 1.74/1.41 % (9493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.74/1.41 % (9493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/1.41 % (9493)CaDiCaL version: 2.1.3
% 1.74/1.41 % (9493)Termination reason: Instruction limit
% 1.74/1.41 % (9493)Termination phase: Saturation
% 1.74/1.41 % (9493)Time elapsed: 0.071 s
% 1.74/1.41 % (9493)Peak memory usage: 90 MB
% 1.74/1.41 % (9493)Instructions burned: 109 (million)
% 1.74/1.41 % (9496)Instruction limit reached!
% 1.74/1.41 % (9496)------------------------------
% 1.74/1.41 % (9496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.74/1.41 % (9496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/1.41 % (9496)CaDiCaL version: 2.1.3
% 1.74/1.41 % (9496)Termination reason: Instruction limit
% 1.74/1.41 % (9496)Termination phase: Saturation
% 1.74/1.41 % (9496)Time elapsed: 0.074 s
% 1.74/1.41 % (9496)Peak memory usage: 90 MB
% 1.74/1.41 % (9496)Instructions burned: 129 (million)
% 1.74/1.41 % (9494)Instruction limit reached!
% 1.74/1.41 % (9494)------------------------------
% 1.74/1.41 % (9494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.74/1.41 % (9494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/1.41 % (9494)CaDiCaL version: 2.1.3
% 1.74/1.41 % (9494)Termination reason: Instruction limit
% 1.74/1.41 % (9494)Termination phase: Saturation
% 1.74/1.41 % (9494)Time elapsed: 0.082 s
% 1.74/1.41 % (9494)Peak memory usage: 89 MB
% 1.74/1.41 % (9494)Instructions burned: 121 (million)
% 1.74/1.41 % (9504)lrs+10_1_sil=8000:sp=occurrence:random_seed=3348580590:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.74/1.41 % (9505)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1758991310:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.74/1.41 % (9505)Also succeeded, but the first one will report.
% 1.74/1.41 % (9506)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2852924703:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.74/1.41 % (9495)Refutation found. Thanks to Tanya!
% 1.74/1.41 % SZS status Theorem for theBenchmark
% 1.74/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.61 % (9495)------------------------------
% 0.16/1.61 % (9495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.61 % (9495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.61 % (9495)CaDiCaL version: 2.1.3
% 0.16/1.61 % (9495)Termination reason: Refutation
% 0.16/1.61 % (9495)Time elapsed: 0.028 s
% 0.16/1.61 % (9495)Peak memory usage: 90 MB
% 0.16/1.61 % (9495)Instructions burned: 40 (million)
% 0.16/1.61 % (9495)------------------------------
% 0.16/1.61 % (9495)------------------------------
% 0.16/1.61 % (9485)Success in time 0.465 s
% 0.16/1.61 % Vampire exiting
%------------------------------------------------------------------------------