%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU344+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:52:56 PM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 64 ( 12 unt; 2 def)
% Number of atoms : 171 ( 28 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 182 ( 75 ~; 79 |; 9 &)
% ( 7 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 52 ( 0 sgn 49 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
fof(f15,axiom,
! [X0] :
( strict_latt_str(boole_lattice(X0))
& latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice3) ).
fof(f30,axiom,
! [X0] :
( latt_str(X0)
=> ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f44,axiom,
! [X0] :
( ~ empty_carrier(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice3) ).
fof(f68,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f70,axiom,
! [X0,X1] :
( element(X1,the_carrier(boole_lattice(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
=> ( join(boole_lattice(X0),X1,X2) = set_union2(X1,X2)
& meet(boole_lattice(X0),X1,X2) = set_intersection2(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_lattice3) ).
fof(f73,conjecture,
! [X0,X1] :
( element(X1,the_carrier(boole_lattice(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
=> ( below(boole_lattice(X0),X1,X2)
<=> subset(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_lattice3) ).
fof(f74,negated_conjecture,
~ ! [X0,X1] :
( element(X1,the_carrier(boole_lattice(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
=> ( below(boole_lattice(X0),X1,X2)
<=> subset(X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
fof(f81,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(flattening,[],[f96]) ).
fof(f108,plain,
! [X0] :
( ( meet_semilatt_str(X0)
& join_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f127,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] :
( ( join(boole_lattice(X0),X1,X2) = set_union2(X1,X2)
& meet(boole_lattice(X0),X1,X2) = set_intersection2(X1,X2) )
| ~ element(X2,the_carrier(boole_lattice(X0))) )
| ~ element(X1,the_carrier(boole_lattice(X0))) ),
inference(ennf_transformation,[],[f70]) ).
fof(f130,plain,
? [X0,X1] :
( ? [X2] :
( ( below(boole_lattice(X0),X1,X2)
<~> subset(X1,X2) )
& element(X2,the_carrier(boole_lattice(X0))) )
& element(X1,the_carrier(boole_lattice(X0))) ),
inference(ennf_transformation,[],[f74]) ).
fof(f148,plain,
! [X2,X0,X1] :
( below(X0,X1,X2)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| join(X0,X1,X2) != X2
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,X2)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| join(X0,X1,X2) = X2
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f153,plain,
! [X0] : latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f160,plain,
! [X0] :
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f177,plain,
! [X0] : ~ empty_carrier(boole_lattice(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f212,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f127]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ element(X2,the_carrier(boole_lattice(X0)))
| join(boole_lattice(X0),X1,X2) = set_union2(X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f218,plain,
( subset(sK16,sK17)
| below(boole_lattice(sK15),sK16,sK17) ),
inference(cnf_transformation,[],[f130]) ).
fof(f219,plain,
( ~ subset(sK16,sK17)
| ~ below(boole_lattice(sK15),sK16,sK17) ),
inference(cnf_transformation,[],[f130]) ).
fof(f220,plain,
element(sK17,the_carrier(boole_lattice(sK15))),
inference(cnf_transformation,[],[f130]) ).
fof(f221,plain,
element(sK16,the_carrier(boole_lattice(sK15))),
inference(cnf_transformation,[],[f130]) ).
fof(f229,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f81]) ).
fof(f233,definition,
( spl18_1
<=> below(boole_lattice(sK15),sK16,sK17) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f234,plain,
( ~ below(boole_lattice(sK15),sK16,sK17)
| spl18_1 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f235,plain,
( below(boole_lattice(sK15),sK16,sK17)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f237,definition,
( spl18_2
<=> subset(sK16,sK17) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f238,plain,
( ~ subset(sK16,sK17)
| spl18_2 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( subset(sK16,sK17)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f240,plain,
( spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f218,f237,f233]) ).
fof(f241,plain,
( ~ spl18_1
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f219,f237,f233]) ).
fof(f242,plain,
! [X0] : join_semilatt_str(boole_lattice(X0)),
inference(resolution,[],[f160,f153]) ).
fof(f363,plain,
( sK17 = set_union2(sK16,sK17)
| ~ spl18_2 ),
inference(resolution,[],[f212,f239]) ).
fof(f504,plain,
! [X0] :
( ~ element(X0,the_carrier(boole_lattice(sK15)))
| join(boole_lattice(sK15),sK16,X0) = set_union2(sK16,X0) ),
inference(resolution,[],[f215,f221]) ).
fof(f509,plain,
( empty_carrier(boole_lattice(sK15))
| ~ element(sK16,the_carrier(boole_lattice(sK15)))
| ~ element(sK17,the_carrier(boole_lattice(sK15)))
| sK17 != join(boole_lattice(sK15),sK16,sK17)
| ~ join_semilatt_str(boole_lattice(sK15))
| spl18_1 ),
inference(resolution,[],[f148,f234]) ).
fof(f510,plain,
( ~ element(sK16,the_carrier(boole_lattice(sK15)))
| ~ element(sK17,the_carrier(boole_lattice(sK15)))
| sK17 != join(boole_lattice(sK15),sK16,sK17)
| ~ join_semilatt_str(boole_lattice(sK15))
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f509,f177]) ).
fof(f511,plain,
( ~ element(sK17,the_carrier(boole_lattice(sK15)))
| sK17 != join(boole_lattice(sK15),sK16,sK17)
| ~ join_semilatt_str(boole_lattice(sK15))
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f510,f221]) ).
fof(f512,plain,
( sK17 != join(boole_lattice(sK15),sK16,sK17)
| ~ join_semilatt_str(boole_lattice(sK15))
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f511,f220]) ).
fof(f513,plain,
( sK17 != join(boole_lattice(sK15),sK16,sK17)
| spl18_1 ),
inference(forward_subsumption_resolution,[],[f512,f242]) ).
fof(f551,plain,
join(boole_lattice(sK15),sK16,sK17) = set_union2(sK16,sK17),
inference(resolution,[],[f504,f220]) ).
fof(f555,plain,
( sK17 = join(boole_lattice(sK15),sK16,sK17)
| ~ spl18_2 ),
inference(forward_demodulation,[],[f551,f363]) ).
fof(f556,plain,
( $false
| spl18_1
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f555,f513]) ).
fof(f557,plain,
( spl18_1
| ~ spl18_2 ),
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f559,plain,
( empty_carrier(boole_lattice(sK15))
| ~ element(sK16,the_carrier(boole_lattice(sK15)))
| ~ element(sK17,the_carrier(boole_lattice(sK15)))
| sK17 = join(boole_lattice(sK15),sK16,sK17)
| ~ join_semilatt_str(boole_lattice(sK15))
| ~ spl18_1 ),
inference(resolution,[],[f235,f149]) ).
fof(f560,plain,
( ~ element(sK16,the_carrier(boole_lattice(sK15)))
| ~ element(sK17,the_carrier(boole_lattice(sK15)))
| sK17 = join(boole_lattice(sK15),sK16,sK17)
| ~ join_semilatt_str(boole_lattice(sK15))
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f559,f177]) ).
fof(f561,plain,
( ~ element(sK17,the_carrier(boole_lattice(sK15)))
| sK17 = join(boole_lattice(sK15),sK16,sK17)
| ~ join_semilatt_str(boole_lattice(sK15))
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f560,f221]) ).
fof(f562,plain,
( sK17 = join(boole_lattice(sK15),sK16,sK17)
| ~ join_semilatt_str(boole_lattice(sK15))
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f561,f220]) ).
fof(f563,plain,
( sK17 = join(boole_lattice(sK15),sK16,sK17)
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f562,f242]) ).
fof(f570,plain,
( sK17 = set_union2(sK16,sK17)
| ~ spl18_1 ),
inference(superposition,[],[f563,f551]) ).
fof(f579,plain,
( subset(sK16,sK17)
| ~ spl18_1 ),
inference(superposition,[],[f229,f570]) ).
fof(f585,plain,
( $false
| ~ spl18_1
| spl18_2 ),
inference(forward_subsumption_resolution,[],[f579,f238]) ).
fof(f586,plain,
( ~ spl18_1
| spl18_2 ),
inference(avatar_contradiction_clause,[],[f585]) ).
cnf(s1,plain,
( spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f240]) ).
cnf(s2,plain,
( ~ spl18_1
| ~ spl18_2 ),
inference(sat_conversion,[],[f241]) ).
cnf(s14,plain,
( spl18_1
| ~ spl18_2 ),
inference(sat_conversion,[],[f557]) ).
cnf(s16,plain,
( ~ spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f586]) ).
cnf(s17,plain,
spl18_1,
inference(rat,[],[s1,s14]) ).
cnf(s18,plain,
spl18_2,
inference(rat,[],[s16,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s2,s18,s17]) ).
fof(f587,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU344+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 04:51:52 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.47 % (4154153)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (4154158)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3885888895_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (4154159)% WARNING: option uhcvi not known.
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % (4154159)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1549765916:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % (4154160)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3551515485:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (4154161)dis+10_1_sil=32000:sp=arity:random_seed=3550231368:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (4154162)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3910494747:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (4154164)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4027864172:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (4154163)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1789260319:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (4154162) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4154153-4154162"...
% 0.15/0.47 % (4154162)...printing done.
% 0.15/0.47 % (4154162)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (4154162)------------------------------
% 0.15/0.47 % (4154162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (4154162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (4154162)CaDiCaL version: 2.1.3
% 0.15/0.47 % (4154162)Termination reason: Refutation
% 0.15/0.47 % (4154162)Time elapsed: 0.015 s
% 0.15/0.47 % (4154162)Peak memory usage: 13 MB
% 0.15/0.47 % (4154162)Instructions burned: 20 (million)
% 0.15/0.47 % (4154153)Success in time 0.058 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------