%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU189+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 0.04s 0.44s
% Output : Refutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 7 unt; 2 def)
% Number of atoms : 138 ( 38 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 141 ( 60 ~; 57 |; 13 &)
% ( 4 <=>; 6 =>; 0 <=; 1 <~>)
% 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 : 20 ( 0 sgn 17 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_dom(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_relat_1) ).
fof(f10,axiom,
! [X0] :
( ( ~ empty(X0)
& relation(X0) )
=> ~ empty(relation_rng(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_relat_1) ).
fof(f11,axiom,
! [X0] :
( empty(X0)
=> ( empty(relation_dom(X0))
& relation(relation_dom(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f20,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f22,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f23,conjecture,
! [X0] :
( relation(X0)
=> ( relation_dom(X0) = empty_set
<=> relation_rng(X0) = empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_relat_1) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( relation_dom(X0) = empty_set
<=> relation_rng(X0) = empty_set ) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f25,axiom,
( relation_dom(empty_set) = empty_set
& relation_rng(empty_set) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_relat_1) ).
fof(f32,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f33,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ( empty(relation_dom(X0))
& relation(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f40,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f41,plain,
? [X0] :
( ( relation_dom(X0) = empty_set
<~> relation_rng(X0) = empty_set )
& relation(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f49,plain,
? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(nnf_transformation,[],[f41]) ).
fof(f50,plain,
? [X0] :
( ( relation_rng(X0) != empty_set
| relation_dom(X0) != empty_set )
& ( relation_rng(X0) = empty_set
| relation_dom(X0) = empty_set )
& relation(X0) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
( ( empty_set != relation_rng(sK5)
| empty_set != relation_dom(sK5) )
& ( empty_set = relation_rng(sK5)
| empty_set = relation_dom(sK5) )
& relation(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f50]) ).
fof(f61,plain,
! [X0] :
( ~ empty(relation_dom(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f62,plain,
! [X0] :
( ~ empty(relation_rng(X0))
| empty(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0] :
( empty(relation_dom(X0))
| ~ empty(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f72,plain,
empty(empty_set),
inference(cnf_transformation,[],[f20]) ).
fof(f74,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f40]) ).
fof(f75,plain,
relation(sK5),
inference(cnf_transformation,[],[f51]) ).
fof(f76,plain,
( empty_set = relation_rng(sK5)
| empty_set = relation_dom(sK5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f77,plain,
( empty_set != relation_rng(sK5)
| empty_set != relation_dom(sK5) ),
inference(cnf_transformation,[],[f51]) ).
fof(f78,plain,
empty_set = relation_rng(empty_set),
inference(cnf_transformation,[],[f25]) ).
fof(f83,definition,
( spl6_1
<=> empty_set = relation_dom(sK5) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f84,plain,
( empty_set != relation_dom(sK5)
| spl6_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f85,plain,
( empty_set = relation_dom(sK5)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl6_2
<=> empty_set = relation_rng(sK5) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f88,plain,
( empty_set != relation_rng(sK5)
| spl6_2 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f89,plain,
( empty_set = relation_rng(sK5)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f76,f87,f83]) ).
fof(f91,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f77,f87,f83]) ).
fof(f103,plain,
! [X0] :
( ~ empty(X0)
| relation_dom(X0) = empty_set ),
inference(resolution,[],[f74,f64]) ).
fof(f122,plain,
( ~ empty(empty_set)
| empty(sK5)
| ~ relation(sK5)
| ~ spl6_2 ),
inference(superposition,[],[f62,f89]) ).
fof(f124,plain,
( empty(sK5)
| ~ relation(sK5)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f122,f72]) ).
fof(f125,plain,
( empty(sK5)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f124,f75]) ).
fof(f126,plain,
( empty_set = relation_dom(sK5)
| ~ spl6_2 ),
inference(resolution,[],[f125,f103]) ).
fof(f129,plain,
( $false
| spl6_1
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f126,f84]) ).
fof(f130,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f131,plain,
( ~ empty(empty_set)
| empty(sK5)
| ~ relation(sK5)
| ~ spl6_1 ),
inference(superposition,[],[f61,f85]) ).
fof(f134,plain,
( empty(sK5)
| ~ relation(sK5)
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f131,f72]) ).
fof(f135,plain,
( empty(sK5)
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f134,f75]) ).
fof(f137,plain,
( empty_set = sK5
| ~ spl6_1 ),
inference(resolution,[],[f135,f74]) ).
fof(f139,plain,
( empty_set != relation_rng(empty_set)
| ~ spl6_1
| spl6_2 ),
inference(superposition,[],[f88,f137]) ).
fof(f143,plain,
( $false
| ~ spl6_1
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f139,f78]) ).
fof(f144,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_contradiction_clause,[],[f143]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f90]) ).
cnf(s2,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f91]) ).
cnf(s3,plain,
( spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f130]) ).
cnf(s4,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f144]) ).
cnf(s5,plain,
spl6_1,
inference(rat,[],[s1,s3]) ).
cnf(s6,plain,
spl6_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f145,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU189+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 03:59:42 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.39 Running first-order model finding
% 0.04/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.44 % (1171771)Will run a generic schedule for satisfiability detection.
% 0.04/0.44 % (1171776)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1386455843_2999 on theBenchmark for (2999ds/0Mi)
% 0.04/0.44 % TRYING [1]
% 0.04/0.44 % TRYING [2]
% 0.04/0.44 % TRYING [3]
% 0.04/0.44 % TRYING [4]
% 0.04/0.44 % TRYING [5]
% 0.04/0.44 % TRYING [6]
% 0.04/0.44 % (1171777)% WARNING: option uhcvi not known.
% 0.04/0.44 % TRYING [7]
% 0.04/0.44 % TRYING [8]
% 0.04/0.44 % TRYING [9]
% 0.04/0.44 % (1171778)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3620997628:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.04/0.44 % (1171779)dis+10_1_sil=32000:sp=arity:random_seed=4057858500:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.04/0.44 % (1171782)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3883797933:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.04/0.44 % (1171780)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3595112674:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.04/0.44 % (1171781)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1007615966:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.04/0.44 % (1171777)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1513574445:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.04/0.44 % TRYING [10]
% 0.04/0.44 % (1171779) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1171771-1171779"...
% 0.04/0.44 % (1171782) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1171771-1171782"...
% 0.04/0.44 % (1171780) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1171771-1171780"...
% 0.04/0.44 % TRYING [11]
% 0.04/0.44 % (1171781) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1171771-1171781"...
% 0.04/0.44 % (1171777) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1171771-1171777"...
% 0.04/0.44 % (1171779)...printing done.
% 0.04/0.44 % (1171782)...printing done.
% 0.04/0.44 % (1171780)...printing done.
% 0.04/0.44 % (1171781)...printing done.
% 0.04/0.44 % (1171778) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1171771-1171778"...
% 0.04/0.44 % (1171777)...printing done.
% 0.04/0.44 % TRYING [12]
% 0.04/0.44 % (1171779)Refutation found. Thanks to Tanya!
% 0.04/0.44 % SZS status Theorem for theBenchmark
% 0.04/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.04/0.44 % (1171779)------------------------------
% 0.04/0.44 % (1171779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.04/0.44 % (1171779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.04/0.44 % (1171779)CaDiCaL version: 2.1.3
% 0.04/0.44 % (1171779)Termination reason: Refutation
% 0.04/0.44 % (1171779)Time elapsed: 0.004 s
% 0.04/0.44 % (1171779)Peak memory usage: 12 MB
% 0.04/0.44 % (1171779)Instructions burned: 3 (million)
% 0.04/0.44 % (1171771)Success in time 0.037 s
% 0.04/0.44 % Vampire exiting
%------------------------------------------------------------------------------