%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU215+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 2.57s 1.28s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 81 ( 15 unt; 4 def)
% Number of atoms : 315 ( 33 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 388 ( 154 ~; 161 |; 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(f5,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(f7,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f11,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(f31,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(f32,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(f33,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(f34,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)],[f33]) ).
fof(f49,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,[],[f5]) ).
fof(f50,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,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f52,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f51]) ).
fof(f55,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f56,plain,
! [X0,X1] :
( ( relation(relation_composition(X0,X1))
& function(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f55]) ).
fof(f64,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,[],[f31]) ).
fof(f65,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,[],[f64]) ).
fof(f66,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,[],[f32]) ).
fof(f67,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,[],[f66]) ).
fof(f68,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,[],[f34]) ).
fof(f69,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,[],[f68]) ).
fof(f79,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,[],[f50]) ).
fof(f89,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,[],[f65]) ).
fof(f90,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,[],[f89]) ).
fof(f91,plain,
( apply(relation_composition(sK10,sK11),sK9) != apply(sK11,apply(sK10,sK9))
& in(sK9,relation_dom(sK10))
& relation(sK11)
& function(sK11)
& relation(sK10)
& function(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11)],[f69]) ).
fof(f97,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| empty_set != X2
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f101,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f107,plain,
! [X0,X1] :
( function(relation_composition(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f138,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,[],[f90]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f140,plain,
function(sK10),
inference(cnf_transformation,[],[f91]) ).
fof(f141,plain,
relation(sK10),
inference(cnf_transformation,[],[f91]) ).
fof(f142,plain,
function(sK11),
inference(cnf_transformation,[],[f91]) ).
fof(f143,plain,
relation(sK11),
inference(cnf_transformation,[],[f91]) ).
fof(f144,plain,
in(sK9,relation_dom(sK10)),
inference(cnf_transformation,[],[f91]) ).
fof(f145,plain,
apply(relation_composition(sK10,sK11),sK9) != apply(sK11,apply(sK10,sK9)),
inference(cnf_transformation,[],[f91]) ).
fof(f154,plain,
! [X0,X1] :
( apply(X0,X1) = empty_set
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f97]) ).
fof(f195,plain,
( empty_set != apply(sK11,apply(sK10,sK9))
| in(sK9,relation_dom(relation_composition(sK10,sK11)))
| ~ relation(relation_composition(sK10,sK11))
| ~ function(relation_composition(sK10,sK11)) ),
inference(superposition,[],[f145,f154]) ).
fof(f197,definition,
( spl12_1
<=> function(relation_composition(sK10,sK11)) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f199,plain,
( ~ function(relation_composition(sK10,sK11))
| spl12_1 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f201,definition,
( spl12_2
<=> relation(relation_composition(sK10,sK11)) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f203,plain,
( ~ relation(relation_composition(sK10,sK11))
| spl12_2 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f205,definition,
( spl12_3
<=> in(sK9,relation_dom(relation_composition(sK10,sK11))) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f207,plain,
( in(sK9,relation_dom(relation_composition(sK10,sK11)))
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl12_4
<=> empty_set = apply(sK11,apply(sK10,sK9)) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f211,plain,
( empty_set != apply(sK11,apply(sK10,sK9))
| spl12_4 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( ~ spl12_1
| ~ spl12_2
| spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f195,f209,f205,f201,f197]) ).
fof(f213,plain,
( ~ relation(sK10)
| ~ function(sK10)
| ~ relation(sK11)
| ~ function(sK11)
| spl12_1 ),
inference(resolution,[],[f199,f107]) ).
fof(f215,plain,
( ~ function(sK10)
| ~ relation(sK11)
| ~ function(sK11)
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f213,f141]) ).
fof(f216,plain,
( ~ relation(sK11)
| ~ function(sK11)
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f215,f140]) ).
fof(f217,plain,
( ~ function(sK11)
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f216,f143]) ).
fof(f218,plain,
( $false
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f217,f142]) ).
fof(f219,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f225,plain,
( ~ relation(sK10)
| ~ relation(sK11)
| spl12_2 ),
inference(resolution,[],[f203,f101]) ).
fof(f227,plain,
( ~ relation(sK11)
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f225,f141]) ).
fof(f229,plain,
( $false
| spl12_2 ),
inference(forward_subsumption_resolution,[],[f227,f143]) ).
fof(f230,plain,
spl12_2,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f232,plain,
( empty_set != empty_set
| in(apply(sK10,sK9),relation_dom(sK11))
| ~ relation(sK11)
| ~ function(sK11)
| spl12_4 ),
inference(superposition,[],[f211,f154]) ).
fof(f233,plain,
( in(apply(sK10,sK9),relation_dom(sK11))
| ~ relation(sK11)
| ~ function(sK11)
| spl12_4 ),
inference(trivial_inequality_removal,[],[f232]) ).
fof(f234,plain,
( in(apply(sK10,sK9),relation_dom(sK11))
| ~ function(sK11)
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f233,f143]) ).
fof(f235,plain,
( in(apply(sK10,sK9),relation_dom(sK11))
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f234,f142]) ).
fof(f244,plain,
( ~ in(sK9,relation_dom(sK10))
| in(sK9,relation_dom(relation_composition(sK10,sK11)))
| ~ relation(sK10)
| ~ function(sK10)
| ~ relation(sK11)
| ~ function(sK11)
| spl12_4 ),
inference(resolution,[],[f138,f235]) ).
fof(f247,plain,
( in(sK9,relation_dom(relation_composition(sK10,sK11)))
| ~ relation(sK10)
| ~ function(sK10)
| ~ relation(sK11)
| ~ function(sK11)
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f244,f144]) ).
fof(f248,plain,
( in(sK9,relation_dom(relation_composition(sK10,sK11)))
| ~ function(sK10)
| ~ relation(sK11)
| ~ function(sK11)
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f247,f141]) ).
fof(f249,plain,
( in(sK9,relation_dom(relation_composition(sK10,sK11)))
| ~ relation(sK11)
| ~ function(sK11)
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f248,f140]) ).
fof(f250,plain,
( in(sK9,relation_dom(relation_composition(sK10,sK11)))
| ~ function(sK11)
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f249,f143]) ).
fof(f251,plain,
( in(sK9,relation_dom(relation_composition(sK10,sK11)))
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f250,f142]) ).
fof(f252,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f251,f209,f205]) ).
fof(f254,plain,
( apply(relation_composition(sK10,sK11),sK9) = apply(sK11,apply(sK10,sK9))
| ~ relation(sK10)
| ~ function(sK10)
| ~ relation(sK11)
| ~ function(sK11)
| ~ spl12_3 ),
inference(resolution,[],[f207,f139]) ).
fof(f263,plain,
( ~ relation(sK10)
| ~ function(sK10)
| ~ relation(sK11)
| ~ function(sK11)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f254,f145]) ).
fof(f265,plain,
( ~ function(sK10)
| ~ relation(sK11)
| ~ function(sK11)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f263,f141]) ).
fof(f266,plain,
( ~ relation(sK11)
| ~ function(sK11)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f265,f140]) ).
fof(f267,plain,
( ~ function(sK11)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f266,f143]) ).
fof(f268,plain,
( $false
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f267,f142]) ).
fof(f269,plain,
~ spl12_3,
inference(avatar_contradiction_clause,[],[f268]) ).
cnf(s1,plain,
( ~ spl12_1
| ~ spl12_2
| spl12_3
| ~ spl12_4 ),
inference(sat_conversion,[],[f212]) ).
cnf(s2,plain,
spl12_1,
inference(sat_conversion,[],[f219]) ).
cnf(s3,plain,
spl12_2,
inference(sat_conversion,[],[f230]) ).
cnf(s4,plain,
( spl12_3
| spl12_4 ),
inference(sat_conversion,[],[f252]) ).
cnf(s5,plain,
~ spl12_3,
inference(sat_conversion,[],[f269]) ).
cnf(s6,plain,
spl12_4,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5,s3,s2]) ).
fof(f270,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU215+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:05:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.57/1.28 % (1545885)Detected formulas, will run a generic FOF schedule.
% 2.57/1.28 % (1545896)dis-21_1_sil=8000:lcm=predicate:random_seed=1249031072: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)
% 2.57/1.28 % (1545891)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=2052602658:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.57/1.28 % (1545893)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2181042169:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.57/1.28 % (1545892)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=727619687:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.57/1.28 % (1545894)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1205990401:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.57/1.28 % (1545890)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=4136687219:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.57/1.28 % (1545895)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1887107625:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.57/1.28 % (1545896)Instruction limit reached!
% 2.57/1.28 % (1545896)------------------------------
% 2.57/1.28 % (1545896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.28 % (1545896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.28 % (1545896)CaDiCaL version: 2.1.3
% 2.57/1.28 % (1545896)Termination reason: Instruction limit
% 2.57/1.28 % (1545896)Termination phase: Saturation
% 2.57/1.28 % (1545896)Time elapsed: 0.041 s
% 2.57/1.28 % (1545896)Peak memory usage: 90 MB
% 2.57/1.28 % (1545896)Instructions burned: 130 (million)
% 2.57/1.28 % (1545893)Refutation not found, incomplete strategy
% 2.57/1.28 % (1545893)------------------------------
% 2.57/1.28 % (1545893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.28 % (1545893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.28 % (1545893)CaDiCaL version: 2.1.3
% 2.57/1.28 % (1545893)Termination reason: Refutation not found, incomplete strategy
% 2.57/1.28 % (1545893)Time elapsed: 0.002 s
% 2.57/1.28 % (1545893)Peak memory usage: 88 MB
% 2.57/1.28 % (1545893)Instructions burned: 2 (million)
% 2.57/1.28 % (1545895)First to succeed.
% 2.57/1.28 % (1545895)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1545885"
% 2.57/1.28 % (1545894)Instruction limit reached!
% 2.57/1.28 % (1545894)------------------------------
% 2.57/1.28 % (1545894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.28 % (1545894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.28 % (1545894)CaDiCaL version: 2.1.3
% 2.57/1.28 % (1545894)Termination reason: Instruction limit
% 2.57/1.28 % (1545894)Termination phase: Saturation
% 2.57/1.28 % (1545894)Time elapsed: 0.064 s
% 2.57/1.28 % (1545894)Peak memory usage: 88 MB
% 2.57/1.28 % (1545894)Instructions burned: 120 (million)
% 2.57/1.28 % (1545904)lrs+10_1_sil=8000:sp=occurrence:random_seed=629862461:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.57/1.28 % (1545905)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3252619737:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.57/1.28 % (1545893)------------------------------
% 2.57/1.28 % (1545893)------------------------------
% 2.57/1.28 % (1545895)Refutation found. Thanks to Tanya!
% 2.57/1.28 % SZS status Theorem for theBenchmark
% 2.57/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.49 % (1545895)------------------------------
% 3.59/1.49 % (1545895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.49 % (1545895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.49 % (1545895)CaDiCaL version: 2.1.3
% 3.59/1.49 % (1545895)Termination reason: Refutation
% 3.59/1.49 % (1545895)Time elapsed: 0.008 s
% 3.59/1.49 % (1545895)Peak memory usage: 90 MB
% 3.59/1.49 % (1545895)Instructions burned: 9 (million)
% 3.59/1.49 % (1545895)------------------------------
% 3.59/1.49 % (1545895)------------------------------
% 3.59/1.49 % (1545885)Success in time 0.428 s
% 3.59/1.49 % Vampire exiting
%------------------------------------------------------------------------------