%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU188+2 : 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 : n019.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 12:52:18 PM UTC 2026
% Result : Theorem 0.14s 0.46s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 11 unt; 2 def)
% Number of atoms : 105 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 112 ( 53 ~; 44 |; 6 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f66,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f67,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f156,conjecture,
! [X0] :
( relation(X0)
=> ( ( relation_dom(X0) = empty_set
| relation_rng(X0) = empty_set )
=> X0 = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).
fof(f157,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ( relation_dom(X0) = empty_set
| relation_rng(X0) = empty_set )
=> X0 = empty_set ) ),
inference(negated_conjecture,[status(cth)],[f156]) ).
fof(f160,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f214,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f215,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f214]) ).
fof(f216,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f217,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f216]) ).
fof(f294,plain,
? [X0] :
( empty_set != X0
& ( relation_dom(X0) = empty_set
| relation_rng(X0) = empty_set )
& relation(X0) ),
inference(ennf_transformation,[],[f157]) ).
fof(f295,plain,
? [X0] :
( empty_set != X0
& ( relation_dom(X0) = empty_set
| relation_rng(X0) = empty_set )
& relation(X0) ),
inference(flattening,[],[f294]) ).
fof(f296,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f160]) ).
fof(f422,plain,
empty(empty_set),
inference(cnf_transformation,[],[f57]) ).
fof(f432,plain,
! [X0] :
( ~ relation(X0)
| empty(X0)
| ~ empty(relation_dom(X0)) ),
inference(cnf_transformation,[],[f215]) ).
fof(f433,plain,
! [X0] :
( ~ relation(X0)
| empty(X0)
| ~ empty(relation_rng(X0)) ),
inference(cnf_transformation,[],[f217]) ).
fof(f558,plain,
( empty_set = relation_rng(sK49)
| empty_set = relation_dom(sK49) ),
inference(cnf_transformation,[],[f295]) ).
fof(f559,plain,
relation(sK49),
inference(cnf_transformation,[],[f295]) ).
fof(f560,plain,
empty_set != sK49,
inference(cnf_transformation,[],[f295]) ).
fof(f564,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f296]) ).
fof(f732,plain,
~ empty(empty_set),
inference(consistent_polarity_flipping,[],[f422]) ).
fof(f740,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0)
| ~ relation(X0) ),
inference(consistent_polarity_flipping,[],[f432]) ).
fof(f741,plain,
! [X0] :
( empty(relation_rng(X0))
| ~ empty(X0)
| ~ relation(X0) ),
inference(consistent_polarity_flipping,[],[f433]) ).
fof(f803,plain,
! [X0] :
( empty(X0)
| empty_set = X0 ),
inference(consistent_polarity_flipping,[],[f564]) ).
fof(f813,definition,
( spl52_1
<=> empty_set = relation_dom(sK49) ),
introduced(definition,[new_symbols(definition,[spl52_1])],[avatar_definition]) ).
fof(f815,plain,
( empty_set = relation_dom(sK49)
| ~ spl52_1 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f817,definition,
( spl52_2
<=> empty_set = relation_rng(sK49) ),
introduced(definition,[new_symbols(definition,[spl52_2])],[avatar_definition]) ).
fof(f819,plain,
( empty_set = relation_rng(sK49)
| ~ spl52_2 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f820,plain,
( spl52_1
| spl52_2 ),
inference(avatar_split_clause,[],[f558,f817,f813]) ).
fof(f935,plain,
( empty(empty_set)
| ~ empty(sK49)
| ~ relation(sK49)
| ~ spl52_2 ),
inference(superposition,[],[f741,f819]) ).
fof(f937,plain,
( ~ empty(sK49)
| ~ relation(sK49)
| ~ spl52_2 ),
inference(forward_subsumption_resolution,[],[f935,f732]) ).
fof(f938,plain,
( ~ empty(sK49)
| ~ spl52_2 ),
inference(forward_subsumption_resolution,[],[f937,f559]) ).
fof(f939,plain,
( empty_set = sK49
| ~ spl52_2 ),
inference(resolution,[],[f938,f803]) ).
fof(f941,plain,
( $false
| ~ spl52_2 ),
inference(forward_subsumption_resolution,[],[f939,f560]) ).
fof(f942,plain,
~ spl52_2,
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f943,plain,
( empty(empty_set)
| ~ empty(sK49)
| ~ relation(sK49)
| ~ spl52_1 ),
inference(superposition,[],[f740,f815]) ).
fof(f946,plain,
( ~ empty(sK49)
| ~ relation(sK49)
| ~ spl52_1 ),
inference(forward_subsumption_resolution,[],[f943,f732]) ).
fof(f947,plain,
( ~ empty(sK49)
| ~ spl52_1 ),
inference(forward_subsumption_resolution,[],[f946,f559]) ).
fof(f948,plain,
( empty_set = sK49
| ~ spl52_1 ),
inference(resolution,[],[f947,f803]) ).
fof(f950,plain,
( $false
| ~ spl52_1 ),
inference(forward_subsumption_resolution,[],[f948,f560]) ).
fof(f951,plain,
~ spl52_1,
inference(avatar_contradiction_clause,[],[f950]) ).
cnf(s1,plain,
( spl52_1
| spl52_2 ),
inference(sat_conversion,[],[f820]) ).
cnf(s2,plain,
~ spl52_2,
inference(sat_conversion,[],[f942]) ).
cnf(s3,plain,
~ spl52_1,
inference(sat_conversion,[],[f951]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f952,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU188+2 : 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 : n019.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 03:58:03 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 0.14/0.46 % (3646040)Will run a generic schedule for satisfiability detection.
% 0.14/0.46 % (3646046)% WARNING: option uhcvi not known.
% 0.14/0.46 % (3646045)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4111020596_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.46 % (3646046)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3445692774:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.46 % (3646048)dis+10_1_sil=32000:sp=arity:random_seed=888984079:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.46 % (3646047)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1339534664:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.46 % (3646049)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=792804753:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.46 % (3646050)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2192657100:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.46 % (3646051)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2842086509:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.46 % (3646048) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3646040-3646048"...
% 0.14/0.46 % (3646046) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3646040-3646046"...
% 0.14/0.46 % (3646048)...printing done.
% 0.14/0.46 % (3646046)...printing done.
% 0.14/0.46 % (3646046)Refutation found. Thanks to Tanya!
% 0.14/0.46 % SZS status Theorem for theBenchmark
% 0.14/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.46 % (3646046)------------------------------
% 0.14/0.46 % (3646046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.46 % (3646046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.46 % (3646046)CaDiCaL version: 2.1.3
% 0.14/0.47 % (3646046)Termination reason: Refutation
% 0.14/0.47 % (3646046)Time elapsed: 0.012 s
% 0.14/0.47 % (3646046)Peak memory usage: 13 MB
% 0.14/0.47 % (3646046)Instructions burned: 18 (million)
% 0.14/0.47 % (3646040)Success in time 0.05 s
% 0.14/0.47 % Vampire exiting
%------------------------------------------------------------------------------