%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU188+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 : n016.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 0.09s 0.46s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 10 unt; 2 def)
% Number of atoms : 100 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 102 ( 45 ~; 40 |; 8 &)
% ( 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 : 15 ( 0 sgn 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f20,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f21,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f31,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(f32,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( ( relation_dom(X0) = empty_set
| relation_rng(X0) = empty_set )
=> X0 = empty_set ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f33,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f40,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f41,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f43,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f42]) ).
fof(f51,plain,
? [X0] :
( empty_set != X0
& ( relation_dom(X0) = empty_set
| relation_rng(X0) = empty_set )
& relation(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f52,plain,
? [X0] :
( empty_set != X0
& ( relation_dom(X0) = empty_set
| relation_rng(X0) = empty_set )
& relation(X0) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f68,plain,
( empty_set != sK13
& ( empty_set = relation_dom(sK13)
| empty_set = relation_rng(sK13) )
& relation(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X0,sK13)],[f52]) ).
fof(f82,plain,
empty(empty_set),
inference(cnf_transformation,[],[f15]) ).
fof(f88,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f89,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f103,plain,
relation(sK13),
inference(cnf_transformation,[],[f68]) ).
fof(f104,plain,
( empty_set = relation_dom(sK13)
| empty_set = relation_rng(sK13) ),
inference(cnf_transformation,[],[f68]) ).
fof(f105,plain,
empty_set != sK13,
inference(cnf_transformation,[],[f68]) ).
fof(f106,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f53]) ).
fof(f124,definition,
( spl14_1
<=> empty_set = relation_rng(sK13) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f126,plain,
( empty_set = relation_rng(sK13)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl14_2
<=> empty_set = relation_dom(sK13) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f130,plain,
( empty_set = relation_dom(sK13)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f104,f128,f124]) ).
fof(f158,plain,
( ~ empty(empty_set)
| empty(sK13)
| ~ relation(sK13)
| ~ spl14_2 ),
inference(superposition,[],[f88,f130]) ).
fof(f159,plain,
( empty(sK13)
| ~ relation(sK13)
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f158,f82]) ).
fof(f160,plain,
( empty(sK13)
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f159,f103]) ).
fof(f162,plain,
( empty_set = sK13
| ~ spl14_2 ),
inference(resolution,[],[f160,f106]) ).
fof(f164,plain,
( $false
| ~ spl14_2 ),
inference(forward_subsumption_resolution,[],[f162,f105]) ).
fof(f165,plain,
~ spl14_2,
inference(avatar_contradiction_clause,[],[f164]) ).
fof(f169,plain,
( ~ empty(empty_set)
| empty(sK13)
| ~ relation(sK13)
| ~ spl14_1 ),
inference(superposition,[],[f89,f126]) ).
fof(f170,plain,
( empty(sK13)
| ~ relation(sK13)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f169,f82]) ).
fof(f171,plain,
( empty(sK13)
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f170,f103]) ).
fof(f173,plain,
( empty_set = sK13
| ~ spl14_1 ),
inference(resolution,[],[f171,f106]) ).
fof(f175,plain,
( $false
| ~ spl14_1 ),
inference(forward_subsumption_resolution,[],[f173,f105]) ).
fof(f176,plain,
~ spl14_1,
inference(avatar_contradiction_clause,[],[f175]) ).
cnf(s1,plain,
( spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f131]) ).
cnf(s2,plain,
~ spl14_2,
inference(sat_conversion,[],[f165]) ).
cnf(s3,plain,
~ spl14_1,
inference(sat_conversion,[],[f176]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f179,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU188+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 04:02:18 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.41 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
% 0.09/0.46 % (3244089)Will run a generic schedule for satisfiability detection.
% 0.09/0.46 % (3244094)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3399413779_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.46 % TRYING [1]
% 0.09/0.46 % TRYING [2]
% 0.09/0.46 % TRYING [3]
% 0.09/0.46 % TRYING [4]
% 0.09/0.46 % (3244099)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1645613848:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.46 % (3244100)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2890453074:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.46 % (3244096)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=316309819:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.46 % (3244097)dis+10_1_sil=32000:sp=arity:random_seed=3423080470:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.46 % (3244098)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1662661729:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.46 % (3244097) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3244089-3244097"...
% 0.09/0.46 % (3244099) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3244089-3244099"...
% 0.09/0.46 % (3244098) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3244089-3244098"...
% 0.09/0.46 % (3244095)% WARNING: option uhcvi not known.
% 0.09/0.46 % (3244100) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3244089-3244100"...
% 0.09/0.46 % (3244097)...printing done.
% 0.09/0.46 % (3244099)...printing done.
% 0.09/0.46 % (3244098)...printing done.
% 0.09/0.46 % (3244100)...printing done.
% 0.09/0.46 % (3244097)Refutation found. Thanks to Tanya!
% 0.09/0.46 % SZS status Theorem for theBenchmark
% 0.09/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.46 % (3244097)------------------------------
% 0.09/0.46 % (3244097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.46 % (3244097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.46 % (3244097)CaDiCaL version: 2.1.3
% 0.09/0.46 % (3244097)Termination reason: Refutation
% 0.09/0.46 % (3244097)Time elapsed: 0.004 s
% 0.09/0.46 % (3244097)Peak memory usage: 12 MB
% 0.09/0.46 % (3244097)Instructions burned: 4 (million)
% 0.09/0.46 % (3244089)Success in time 0.046 s
% 0.09/0.46 % Vampire exiting
%------------------------------------------------------------------------------