%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU215+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:47:47 PM UTC 2026
% Result : Theorem 2.44s 1.23s
% Output : Refutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 15 unt; 4 def)
% Number of atoms : 320 ( 33 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 398 ( 160 ~; 165 |; 44 &)
% ( 13 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 69 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) )
& ( ~ in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> X2 = empty_set ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f60,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f73,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& relation(X1)
& function(X1) )
=> ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f149,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f151,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f152,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f153,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f152]) ).
fof(f249,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) )
& ( ( X2 = apply(X0,X1)
<=> X2 = empty_set )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f250,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) )
& ( ( X2 = apply(X0,X1)
<=> X2 = empty_set )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f249]) ).
fof(f262,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f263,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f262]) ).
fof(f273,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f274,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f273]) ).
fof(f339,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f149]) ).
fof(f340,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f339]) ).
fof(f342,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f151]) ).
fof(f343,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f342]) ).
fof(f344,plain,
? [X0,X1] :
( ? [X2] :
( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
& in(X0,relation_dom(X1))
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f153]) ).
fof(f345,plain,
? [X0,X1] :
( ? [X2] :
( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
& in(X0,relation_dom(X1))
& relation(X2)
& function(X2) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f344]) ).
fof(f470,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( X2 = apply(X0,X1)
| ~ in(ordered_pair(X1,X2),X0) )
& ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 ) )
| ~ in(X1,relation_dom(X0)) )
& ( ( ( X2 = apply(X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| apply(X0,X1) != X2 ) )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f250]) ).
fof(f522,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f340]) ).
fof(f523,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f522]) ).
fof(f524,plain,
( apply(relation_composition(sK65,sK66),sK64) != apply(sK66,apply(sK65,sK64))
& in(sK64,relation_dom(sK65))
& relation(sK66)
& function(sK66)
& relation(sK65)
& function(sK65) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64,sK65,sK66]),skolemize(X0,sK64),skolemize(X1,sK65),skolemize(X2,sK66)],[f345]) ).
fof(f650,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| empty_set != X2
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f470]) ).
fof(f698,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f263]) ).
fof(f711,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f820,plain,
! [X2,X0,X1] :
( ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2))
| in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f523]) ).
fof(f822,plain,
! [X2,X0,X1] :
( apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f343]) ).
fof(f823,plain,
function(sK65),
inference(cnf_transformation,[],[f524]) ).
fof(f824,plain,
relation(sK65),
inference(cnf_transformation,[],[f524]) ).
fof(f825,plain,
function(sK66),
inference(cnf_transformation,[],[f524]) ).
fof(f826,plain,
relation(sK66),
inference(cnf_transformation,[],[f524]) ).
fof(f827,plain,
in(sK64,relation_dom(sK65)),
inference(cnf_transformation,[],[f524]) ).
fof(f828,plain,
apply(relation_composition(sK65,sK66),sK64) != apply(sK66,apply(sK65,sK64)),
inference(cnf_transformation,[],[f524]) ).
fof(f977,plain,
! [X0,X1] :
( empty_set = apply(X0,X1)
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f650]) ).
fof(f1989,plain,
( empty_set != apply(sK66,apply(sK65,sK64))
| in(sK64,relation_dom(relation_composition(sK65,sK66)))
| ~ relation(relation_composition(sK65,sK66))
| ~ function(relation_composition(sK65,sK66)) ),
inference(superposition,[],[f828,f977]) ).
fof(f1991,definition,
( spl74_14
<=> function(relation_composition(sK65,sK66)) ),
introduced(definition,[new_symbols(definition,[spl74_14])],[avatar_definition]) ).
fof(f1993,plain,
( ~ function(relation_composition(sK65,sK66))
| spl74_14 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f1995,definition,
( spl74_15
<=> relation(relation_composition(sK65,sK66)) ),
introduced(definition,[new_symbols(definition,[spl74_15])],[avatar_definition]) ).
fof(f1997,plain,
( ~ relation(relation_composition(sK65,sK66))
| spl74_15 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f1999,definition,
( spl74_16
<=> in(sK64,relation_dom(relation_composition(sK65,sK66))) ),
introduced(definition,[new_symbols(definition,[spl74_16])],[avatar_definition]) ).
fof(f2001,plain,
( in(sK64,relation_dom(relation_composition(sK65,sK66)))
| ~ spl74_16 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f2003,definition,
( spl74_17
<=> empty_set = apply(sK66,apply(sK65,sK64)) ),
introduced(definition,[new_symbols(definition,[spl74_17])],[avatar_definition]) ).
fof(f2005,plain,
( empty_set != apply(sK66,apply(sK65,sK64))
| spl74_17 ),
inference(avatar_component_clause,[],[f2003]) ).
fof(f2006,plain,
( ~ spl74_14
| ~ spl74_15
| spl74_16
| ~ spl74_17 ),
inference(avatar_split_clause,[],[f1989,f2003,f1999,f1995,f1991]) ).
fof(f2007,plain,
( ~ relation(sK65)
| ~ function(sK65)
| ~ relation(sK66)
| ~ function(sK66)
| spl74_14 ),
inference(resolution,[],[f1993,f711]) ).
fof(f2009,plain,
( ~ function(sK65)
| ~ relation(sK66)
| ~ function(sK66)
| spl74_14 ),
inference(forward_subsumption_resolution,[],[f2007,f824]) ).
fof(f2010,plain,
( ~ relation(sK66)
| ~ function(sK66)
| spl74_14 ),
inference(forward_subsumption_resolution,[],[f2009,f823]) ).
fof(f2011,plain,
( ~ function(sK66)
| spl74_14 ),
inference(forward_subsumption_resolution,[],[f2010,f826]) ).
fof(f2012,plain,
( $false
| spl74_14 ),
inference(forward_subsumption_resolution,[],[f2011,f825]) ).
fof(f2013,plain,
spl74_14,
inference(avatar_contradiction_clause,[],[f2012]) ).
fof(f2033,plain,
( ~ relation(sK65)
| ~ relation(sK66)
| spl74_15 ),
inference(resolution,[],[f1997,f698]) ).
fof(f2036,plain,
( ~ relation(sK66)
| spl74_15 ),
inference(forward_subsumption_resolution,[],[f2033,f824]) ).
fof(f2039,plain,
( $false
| spl74_15 ),
inference(forward_subsumption_resolution,[],[f2036,f826]) ).
fof(f2040,plain,
spl74_15,
inference(avatar_contradiction_clause,[],[f2039]) ).
fof(f2112,plain,
( empty_set != empty_set
| in(apply(sK65,sK64),relation_dom(sK66))
| ~ relation(sK66)
| ~ function(sK66)
| spl74_17 ),
inference(superposition,[],[f2005,f977]) ).
fof(f2113,plain,
( in(apply(sK65,sK64),relation_dom(sK66))
| ~ relation(sK66)
| ~ function(sK66)
| spl74_17 ),
inference(trivial_inequality_removal,[],[f2112]) ).
fof(f2114,plain,
( in(apply(sK65,sK64),relation_dom(sK66))
| ~ function(sK66)
| spl74_17 ),
inference(forward_subsumption_resolution,[],[f2113,f826]) ).
fof(f2115,plain,
( in(apply(sK65,sK64),relation_dom(sK66))
| spl74_17 ),
inference(forward_subsumption_resolution,[],[f2114,f825]) ).
fof(f3436,plain,
( ~ in(sK64,relation_dom(sK65))
| in(sK64,relation_dom(relation_composition(sK65,sK66)))
| ~ relation(sK65)
| ~ function(sK65)
| ~ relation(sK66)
| ~ function(sK66)
| spl74_17 ),
inference(resolution,[],[f820,f2115]) ).
fof(f3445,plain,
( in(sK64,relation_dom(relation_composition(sK65,sK66)))
| ~ relation(sK65)
| ~ function(sK65)
| ~ relation(sK66)
| ~ function(sK66)
| spl74_17 ),
inference(forward_subsumption_resolution,[],[f3436,f827]) ).
fof(f3446,plain,
( in(sK64,relation_dom(relation_composition(sK65,sK66)))
| ~ function(sK65)
| ~ relation(sK66)
| ~ function(sK66)
| spl74_17 ),
inference(forward_subsumption_resolution,[],[f3445,f824]) ).
fof(f3447,plain,
( in(sK64,relation_dom(relation_composition(sK65,sK66)))
| ~ relation(sK66)
| ~ function(sK66)
| spl74_17 ),
inference(forward_subsumption_resolution,[],[f3446,f823]) ).
fof(f3448,plain,
( in(sK64,relation_dom(relation_composition(sK65,sK66)))
| ~ function(sK66)
| spl74_17 ),
inference(forward_subsumption_resolution,[],[f3447,f826]) ).
fof(f3449,plain,
( in(sK64,relation_dom(relation_composition(sK65,sK66)))
| spl74_17 ),
inference(forward_subsumption_resolution,[],[f3448,f825]) ).
fof(f3450,plain,
( spl74_16
| spl74_17 ),
inference(avatar_split_clause,[],[f3449,f2003,f1999]) ).
fof(f3570,plain,
( apply(sK66,apply(sK65,sK64)) != apply(sK66,apply(sK65,sK64))
| ~ in(sK64,relation_dom(relation_composition(sK65,sK66)))
| ~ relation(sK65)
| ~ function(sK65)
| ~ relation(sK66)
| ~ function(sK66) ),
inference(superposition,[],[f828,f822]) ).
fof(f3574,plain,
( ~ in(sK64,relation_dom(relation_composition(sK65,sK66)))
| ~ relation(sK65)
| ~ function(sK65)
| ~ relation(sK66)
| ~ function(sK66) ),
inference(trivial_inequality_removal,[],[f3570]) ).
fof(f3577,plain,
( ~ relation(sK65)
| ~ function(sK65)
| ~ relation(sK66)
| ~ function(sK66)
| ~ spl74_16 ),
inference(forward_subsumption_resolution,[],[f3574,f2001]) ).
fof(f3580,plain,
( ~ function(sK65)
| ~ relation(sK66)
| ~ function(sK66)
| ~ spl74_16 ),
inference(forward_subsumption_resolution,[],[f3577,f824]) ).
fof(f3581,plain,
( ~ relation(sK66)
| ~ function(sK66)
| ~ spl74_16 ),
inference(forward_subsumption_resolution,[],[f3580,f823]) ).
fof(f3582,plain,
( ~ function(sK66)
| ~ spl74_16 ),
inference(forward_subsumption_resolution,[],[f3581,f826]) ).
fof(f3583,plain,
( $false
| ~ spl74_16 ),
inference(forward_subsumption_resolution,[],[f3582,f825]) ).
fof(f3584,plain,
~ spl74_16,
inference(avatar_contradiction_clause,[],[f3583]) ).
cnf(s12,plain,
( ~ spl74_14
| ~ spl74_15
| spl74_16
| ~ spl74_17 ),
inference(sat_conversion,[],[f2006]) ).
cnf(s13,plain,
spl74_14,
inference(sat_conversion,[],[f2013]) ).
cnf(s14,plain,
spl74_15,
inference(sat_conversion,[],[f2040]) ).
cnf(s17,plain,
( spl74_16
| spl74_17 ),
inference(sat_conversion,[],[f3450]) ).
cnf(s18,plain,
~ spl74_16,
inference(sat_conversion,[],[f3584]) ).
cnf(s19,plain,
spl74_17,
inference(rat,[],[s17,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s12,s19,s18,s14,s13]) ).
fof(f3585,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU215+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:11:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.44/1.23 % (8267)Detected formulas, will run a generic FOF schedule.
% 2.44/1.23 % (8276)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1284236937:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.44/1.23 % (8273)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=916444926:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.44/1.23 % (8272)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=3155662824:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.44/1.23 % (8275)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=737279880:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.44/1.23 % (8274)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=1542242110:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.44/1.23 % (8278)dis-21_1_sil=8000:lcm=predicate:random_seed=2105098842: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)
% 2.44/1.23 % (8277)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3783731739:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.44/1.23 % (8276)Instruction limit reached!
% 2.44/1.23 % (8276)------------------------------
% 2.44/1.23 % (8276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.23 % (8276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.23 % (8276)CaDiCaL version: 2.1.3
% 2.44/1.23 % (8276)Termination reason: Instruction limit
% 2.44/1.23 % (8276)Termination phase: Saturation
% 2.44/1.23 % (8276)Time elapsed: 0.045 s
% 2.44/1.23 % (8276)Peak memory usage: 89 MB
% 2.44/1.23 % (8276)Instructions burned: 120 (million)
% 2.44/1.23 % (8277)First to succeed.
% 2.44/1.23 % (8277)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8267"
% 2.44/1.23 % (8275)Instruction limit reached!
% 2.44/1.23 % (8275)------------------------------
% 2.44/1.23 % (8275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.23 % (8275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.23 % (8275)CaDiCaL version: 2.1.3
% 2.44/1.23 % (8275)Termination reason: Instruction limit
% 2.44/1.23 % (8275)Termination phase: Saturation
% 2.44/1.23 % (8275)Time elapsed: 0.072 s
% 2.44/1.23 % (8275)Peak memory usage: 90 MB
% 2.44/1.23 % (8275)Instructions burned: 109 (million)
% 2.44/1.23 % (8278)Instruction limit reached!
% 2.44/1.23 % (8278)------------------------------
% 2.44/1.23 % (8278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.23 % (8278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.23 % (8278)CaDiCaL version: 2.1.3
% 2.44/1.23 % (8278)Termination reason: Instruction limit
% 2.44/1.23 % (8278)Termination phase: Saturation
% 2.44/1.23 % (8278)Time elapsed: 0.078 s
% 2.44/1.23 % (8278)Peak memory usage: 90 MB
% 2.44/1.23 % (8278)Instructions burned: 130 (million)
% 2.44/1.23 % (8286)lrs+10_1_sil=8000:sp=occurrence:random_seed=4148936964:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.44/1.23 % (8287)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1131803815:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.44/1.23 % (8277)Refutation found. Thanks to Tanya!
% 2.44/1.23 % SZS status Theorem for theBenchmark
% 2.44/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.17/1.33 % (8277)------------------------------
% 3.17/1.33 % (8277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.33 % (8277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.33 % (8277)CaDiCaL version: 2.1.3
% 3.17/1.33 % (8277)Termination reason: Refutation
% 3.17/1.33 % (8277)Time elapsed: 0.057 s
% 3.17/1.33 % (8277)Peak memory usage: 91 MB
% 3.17/1.33 % (8277)Instructions burned: 141 (million)
% 3.17/1.33 % (8277)------------------------------
% 3.17/1.33 % (8277)------------------------------
% 3.17/1.33 % (8267)Success in time 0.375 s
% 3.17/1.33 % Vampire exiting
%------------------------------------------------------------------------------