%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU348+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 : n006.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 12:48:28 PM UTC 2026
% Result : Theorem 4.85s 1.63s
% Output : Refutation 5.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 64 ( 11 unt; 2 def)
% Number of atoms : 221 ( 10 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 253 ( 96 ~; 100 |; 37 &)
% ( 7 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 48 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattice3) ).
fof(f105,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(poset_of_lattice(X0)))
=> cast_to_el_of_lattice(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_lattice3) ).
fof(f189,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0)
& element(X1,the_carrier(poset_of_lattice(X0))) )
=> element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattice3) ).
fof(f519,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( latt_set_smaller(X1,X2,X0)
<=> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lattice3) ).
fof(f522,conjecture,
! [X0,X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_lattice3) ).
fof(f523,negated_conjecture,
~ ! [X0,X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<=> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f522]) ).
fof(f808,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f809,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f808]) ).
fof(f819,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f820,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f819]) ).
fof(f896,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0))) ),
inference(ennf_transformation,[],[f189]) ).
fof(f897,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0))) ),
inference(flattening,[],[f896]) ).
fof(f1295,plain,
! [X0,X1] :
( ! [X2] :
( ( latt_set_smaller(X1,X2,X0)
<=> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(ennf_transformation,[],[f519]) ).
fof(f1296,plain,
! [X0,X1] :
( ! [X2] :
( ( latt_set_smaller(X1,X2,X0)
<=> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(flattening,[],[f1295]) ).
fof(f1300,plain,
? [X0,X1] :
( ? [X2] :
( ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<~> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) ),
inference(ennf_transformation,[],[f523]) ).
fof(f1301,plain,
? [X0,X1] :
( ? [X2] :
( ( relstr_element_smaller(poset_of_lattice(X1),X0,X2)
<~> latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) ),
inference(flattening,[],[f1300]) ).
fof(f2101,plain,
! [X0,X1] :
( ! [X2] :
( ( ( latt_set_smaller(X1,X2,X0)
| ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_set_smaller(X1,X2,X0) ) )
| ~ element(X2,the_carrier(X1)) )
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(nnf_transformation,[],[f1296]) ).
fof(f2103,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| ~ relstr_element_smaller(poset_of_lattice(X1),X0,X2) )
& ( latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| relstr_element_smaller(poset_of_lattice(X1),X0,X2) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) ),
inference(nnf_transformation,[],[f1301]) ).
fof(f2104,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| ~ relstr_element_smaller(poset_of_lattice(X1),X0,X2) )
& ( latt_set_smaller(X1,cast_to_el_of_lattice(X1,X2),X0)
| relstr_element_smaller(poset_of_lattice(X1),X0,X2) )
& element(X2,the_carrier(poset_of_lattice(X1))) )
& ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) ),
inference(flattening,[],[f2103]) ).
fof(f2105,plain,
( ( ~ latt_set_smaller(sK478,cast_to_el_of_lattice(sK478,sK479),sK477)
| ~ relstr_element_smaller(poset_of_lattice(sK478),sK477,sK479) )
& ( latt_set_smaller(sK478,cast_to_el_of_lattice(sK478,sK479),sK477)
| relstr_element_smaller(poset_of_lattice(sK478),sK477,sK479) )
& element(sK479,the_carrier(poset_of_lattice(sK478)))
& ~ empty_carrier(sK478)
& lattice(sK478)
& latt_str(sK478) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK477,sK478,sK479]),skolemize(X0,sK477),skolemize(X1,sK478),skolemize(X2,sK479)],[f2104]) ).
fof(f2477,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f809]) ).
fof(f2508,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(poset_of_lattice(X0)))
| cast_to_el_of_lattice(X0,X1) = X1
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f820]) ).
fof(f2687,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0))) ),
inference(cnf_transformation,[],[f897]) ).
fof(f3723,plain,
! [X2,X0,X1] :
( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_set_smaller(X1,X2,X0)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(cnf_transformation,[],[f2101]) ).
fof(f3724,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_set_smaller(X1,X2,X0)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(cnf_transformation,[],[f2101]) ).
fof(f3734,plain,
latt_str(sK478),
inference(cnf_transformation,[],[f2105]) ).
fof(f3735,plain,
lattice(sK478),
inference(cnf_transformation,[],[f2105]) ).
fof(f3736,plain,
~ empty_carrier(sK478),
inference(cnf_transformation,[],[f2105]) ).
fof(f3737,plain,
element(sK479,the_carrier(poset_of_lattice(sK478))),
inference(cnf_transformation,[],[f2105]) ).
fof(f3738,plain,
( latt_set_smaller(sK478,cast_to_el_of_lattice(sK478,sK479),sK477)
| relstr_element_smaller(poset_of_lattice(sK478),sK477,sK479) ),
inference(cnf_transformation,[],[f2105]) ).
fof(f3739,plain,
( ~ latt_set_smaller(sK478,cast_to_el_of_lattice(sK478,sK479),sK477)
| ~ relstr_element_smaller(poset_of_lattice(sK478),sK477,sK479) ),
inference(cnf_transformation,[],[f2105]) ).
fof(f3979,definition,
( spl499_5
<=> relstr_element_smaller(poset_of_lattice(sK478),sK477,sK479) ),
introduced(definition,[new_symbols(definition,[spl499_5])],[avatar_definition]) ).
fof(f3980,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK478),sK477,sK479)
| spl499_5 ),
inference(avatar_component_clause,[],[f3979]) ).
fof(f3981,plain,
( relstr_element_smaller(poset_of_lattice(sK478),sK477,sK479)
| ~ spl499_5 ),
inference(avatar_component_clause,[],[f3979]) ).
fof(f3983,definition,
( spl499_6
<=> latt_set_smaller(sK478,cast_to_el_of_lattice(sK478,sK479),sK477) ),
introduced(definition,[new_symbols(definition,[spl499_6])],[avatar_definition]) ).
fof(f3984,plain,
( ~ latt_set_smaller(sK478,cast_to_el_of_lattice(sK478,sK479),sK477)
| spl499_6 ),
inference(avatar_component_clause,[],[f3983]) ).
fof(f3985,plain,
( latt_set_smaller(sK478,cast_to_el_of_lattice(sK478,sK479),sK477)
| ~ spl499_6 ),
inference(avatar_component_clause,[],[f3983]) ).
fof(f3986,plain,
( spl499_5
| spl499_6 ),
inference(avatar_split_clause,[],[f3738,f3983,f3979]) ).
fof(f3987,plain,
( ~ spl499_5
| ~ spl499_6 ),
inference(avatar_split_clause,[],[f3739,f3983,f3979]) ).
fof(f4227,plain,
sK479 = cast_to_el_of_lattice(sK478,sK479),
inference(unit_resulting_resolution,[],[f2508,f3734,f3735,f3736,f3737]) ).
fof(f4231,plain,
( ~ latt_set_smaller(sK478,sK479,sK477)
| spl499_6 ),
inference(superposition,[],[f3984,f4227]) ).
fof(f4232,plain,
( element(sK479,the_carrier(sK478))
| empty_carrier(sK478)
| ~ lattice(sK478)
| ~ latt_str(sK478)
| ~ element(sK479,the_carrier(poset_of_lattice(sK478))) ),
inference(superposition,[],[f2687,f4227]) ).
fof(f4233,plain,
( element(sK479,the_carrier(sK478))
| ~ lattice(sK478)
| ~ latt_str(sK478)
| ~ element(sK479,the_carrier(poset_of_lattice(sK478))) ),
inference(forward_subsumption_resolution,[],[f4232,f3736]) ).
fof(f4234,plain,
( element(sK479,the_carrier(sK478))
| ~ latt_str(sK478)
| ~ element(sK479,the_carrier(poset_of_lattice(sK478))) ),
inference(forward_subsumption_resolution,[],[f4233,f3735]) ).
fof(f4235,plain,
( element(sK479,the_carrier(sK478))
| ~ element(sK479,the_carrier(poset_of_lattice(sK478))) ),
inference(forward_subsumption_resolution,[],[f4234,f3734]) ).
fof(f4236,plain,
element(sK479,the_carrier(sK478)),
inference(forward_subsumption_resolution,[],[f4235,f3737]) ).
fof(f4245,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK478),sK477,cast_to_el_of_LattPOSet(sK478,sK479))
| spl499_6 ),
inference(unit_resulting_resolution,[],[f3724,f3734,f3735,f3736,f4231,f4236]) ).
fof(f4267,plain,
sK479 = cast_to_el_of_LattPOSet(sK478,sK479),
inference(unit_resulting_resolution,[],[f2477,f3734,f3735,f3736,f4236]) ).
fof(f4449,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK478),sK477,sK479)
| spl499_6 ),
inference(superposition,[],[f4245,f4267]) ).
fof(f4450,plain,
( $false
| ~ spl499_5
| spl499_6 ),
inference(forward_subsumption_resolution,[],[f4449,f3981]) ).
fof(f4451,plain,
( ~ spl499_5
| spl499_6 ),
inference(avatar_contradiction_clause,[],[f4450]) ).
fof(f4453,plain,
( latt_set_smaller(sK478,sK479,sK477)
| ~ spl499_6 ),
inference(superposition,[],[f3985,f4227]) ).
fof(f4454,plain,
( relstr_element_smaller(poset_of_lattice(sK478),sK477,cast_to_el_of_LattPOSet(sK478,sK479))
| ~ spl499_6 ),
inference(unit_resulting_resolution,[],[f3723,f3734,f3735,f3736,f4236,f4453]) ).
fof(f4468,plain,
( relstr_element_smaller(poset_of_lattice(sK478),sK477,sK479)
| ~ spl499_6 ),
inference(superposition,[],[f4454,f4267]) ).
fof(f4469,plain,
( $false
| spl499_5
| ~ spl499_6 ),
inference(forward_subsumption_resolution,[],[f4468,f3980]) ).
fof(f4470,plain,
( spl499_5
| ~ spl499_6 ),
inference(avatar_contradiction_clause,[],[f4469]) ).
cnf(s3,plain,
( spl499_5
| spl499_6 ),
inference(sat_conversion,[],[f3986]) ).
cnf(s4,plain,
( ~ spl499_5
| ~ spl499_6 ),
inference(sat_conversion,[],[f3987]) ).
cnf(s50,plain,
( ~ spl499_5
| spl499_6 ),
inference(sat_conversion,[],[f4451]) ).
cnf(s51,plain,
( spl499_5
| ~ spl499_6 ),
inference(sat_conversion,[],[f4470]) ).
cnf(s52,plain,
spl499_5,
inference(rat,[],[s3,s51]) ).
cnf(s53,plain,
spl499_6,
inference(rat,[],[s50,s52]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s4,s53,s52]) ).
fof(f4471,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU348+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 : n006.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 04:49:40 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 4.85/1.63 % (3588796)Detected formulas, will run a generic FOF schedule.
% 4.85/1.63 % (3588807)dis-21_1_sil=8000:lcm=predicate:random_seed=1659068364: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)
% 4.85/1.63 % (3588801)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=3777812474:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.85/1.63 % (3588803)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=2189939265:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.85/1.63 % (3588804)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1029173264:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.85/1.63 % (3588806)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4241634030:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.85/1.63 % (3588805)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3461697569:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.85/1.63 % (3588802)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=3935486257:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.85/1.63 % (3588807)Instruction limit reached!
% 4.85/1.63 % (3588807)------------------------------
% 4.85/1.63 % (3588807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.63 % (3588807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.63 % (3588807)CaDiCaL version: 2.1.3
% 4.85/1.63 % (3588807)Termination reason: Instruction limit
% 4.85/1.63 % (3588807)Termination phase: Saturation
% 4.85/1.63 % (3588807)Time elapsed: 0.037 s
% 4.85/1.63 % (3588807)Peak memory usage: 91 MB
% 4.85/1.63 % (3588807)Instructions burned: 130 (million)
% 4.85/1.63 % (3588804)Instruction limit reached!
% 4.85/1.63 % (3588804)------------------------------
% 4.85/1.63 % (3588804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.63 % (3588804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.63 % (3588804)CaDiCaL version: 2.1.3
% 4.85/1.63 % (3588804)Termination reason: Instruction limit
% 4.85/1.63 % (3588804)Termination phase: Saturation
% 4.85/1.63 % (3588804)Time elapsed: 0.060 s
% 4.85/1.63 % (3588804)Peak memory usage: 91 MB
% 4.85/1.63 % (3588804)Instructions burned: 109 (million)
% 4.85/1.63 % (3588805)Instruction limit reached!
% 4.85/1.63 % (3588805)------------------------------
% 4.85/1.63 % (3588805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.63 % (3588805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.63 % (3588805)CaDiCaL version: 2.1.3
% 4.85/1.63 % (3588805)Termination reason: Instruction limit
% 4.85/1.63 % (3588805)Termination phase: Saturation
% 4.85/1.63 % (3588805)Time elapsed: 0.076 s
% 4.85/1.63 % (3588805)Peak memory usage: 91 MB
% 4.85/1.63 % (3588805)Instructions burned: 120 (million)
% 4.85/1.63 % (3588806)Instruction limit reached!
% 4.85/1.63 % (3588806)------------------------------
% 4.85/1.63 % (3588806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.63 % (3588806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.63 % (3588806)CaDiCaL version: 2.1.3
% 4.85/1.63 % (3588806)Termination reason: Instruction limit
% 4.85/1.63 % (3588806)Termination phase: Saturation
% 4.85/1.63 % (3588806)Time elapsed: 0.089 s
% 4.85/1.63 % (3588806)Peak memory usage: 92 MB
% 4.85/1.63 % (3588806)Instructions burned: 140 (million)
% 4.85/1.63 % (3588815)lrs+10_1_sil=8000:sp=occurrence:random_seed=1826831903:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.85/1.63 % (3588816)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3895404029:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.85/1.63 % (3588816)Refutation not found, incomplete strategy
% 4.85/1.63 % (3588816)------------------------------
% 4.85/1.63 % (3588816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.63 % (3588816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.63 % (3588816)CaDiCaL version: 2.1.3
% 4.85/1.63 % (3588816)Termination reason: Refutation not found, incomplete strategy
% 4.85/1.63 % (3588816)Time elapsed: 0.007 s
% 4.85/1.63 % (3588816)Peak memory usage: 89 MB
% 4.85/1.63 % (3588816)Instructions burned: 10 (million)
% 4.85/1.63 % (3588817)lrs+1011_1_sil=32000:sp=occurrence:random_seed=512004144:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.85/1.63 % (3588815)Instruction limit reached!
% 4.85/1.63 % (3588815)------------------------------
% 4.85/1.63 % (3588815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.63 % (3588815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.63 % (3588815)CaDiCaL version: 2.1.3
% 4.85/1.63 % (3588815)Termination reason: Instruction limit
% 4.85/1.63 % (3588815)Termination phase: Saturation
% 4.85/1.63 % (3588815)Time elapsed: 0.100 s
% 4.85/1.63 % (3588815)Peak memory usage: 95 MB
% 4.85/1.63 % (3588815)Instructions burned: 286 (million)
% 4.85/1.63 % (3588818)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=553823399:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.85/1.63 % (3588818)First to succeed.
% 4.85/1.63 % (3588818)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3588796"
% 4.85/1.63 % (3588822)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=445375417:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.85/1.63 % (3588817)Instruction limit reached!
% 4.85/1.63 % (3588817)------------------------------
% 4.85/1.63 % (3588817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.63 % (3588817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.63 % (3588817)CaDiCaL version: 2.1.3
% 4.85/1.63 % (3588817)Termination reason: Instruction limit
% 4.85/1.63 % (3588817)Termination phase: Saturation
% 4.85/1.63 % (3588817)Time elapsed: 0.218 s
% 4.85/1.63 % (3588817)Peak memory usage: 95 MB
% 4.85/1.63 % (3588817)Instructions burned: 326 (million)
% 4.85/1.63 % (3588816)------------------------------
% 4.85/1.63 % (3588816)------------------------------
% 4.85/1.63 % (3588822)Instruction limit reached!
% 4.85/1.63 % (3588822)------------------------------
% 4.85/1.63 % (3588822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.85/1.63 % (3588822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.85/1.63 % (3588822)CaDiCaL version: 2.1.3
% 4.85/1.63 % (3588822)Termination reason: Instruction limit
% 4.85/1.63 % (3588822)Termination phase: Saturation
% 4.85/1.63 % (3588822)Time elapsed: 0.125 s
% 4.85/1.63 % (3588822)Peak memory usage: 93 MB
% 4.85/1.63 % (3588822)Instructions burned: 294 (million)
% 4.85/1.63 % (3588818)Refutation found. Thanks to Tanya!
% 4.85/1.63 % SZS status Theorem for theBenchmark
% 4.85/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.91/1.84 % (3588818)------------------------------
% 5.91/1.84 % (3588818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.91/1.84 % (3588818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.84 % (3588818)CaDiCaL version: 2.1.3
% 5.91/1.84 % (3588818)Termination reason: Refutation
% 5.91/1.84 % (3588818)Time elapsed: 0.056 s
% 5.91/1.84 % (3588818)Peak memory usage: 93 MB
% 5.91/1.84 % (3588818)Instructions burned: 89 (million)
% 5.91/1.84 % (3588818)------------------------------
% 5.91/1.84 % (3588818)------------------------------
% 5.91/1.84 % (3588796)Success in time 0.767 s
% 5.91/1.84 % Vampire exiting
%------------------------------------------------------------------------------