%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU275+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 : n020.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 12:52:41 PM UTC 2026
% Result : Theorem 2.88s 0.95s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 18 unt; 2 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 96 ( 36 ~; 42 |; 9 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 29 ( 0 sgn 28 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,axiom,
! [X0] :
( relation(X0)
=> ( well_ordering(X0)
<=> ( reflexive(X0)
& transitive(X0)
& antisymmetric(X0)
& connected(X0)
& well_founded_relation(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_wellord1) ).
fof(f86,axiom,
! [X0] : relation(inclusion_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_wellord2) ).
fof(f262,axiom,
! [X0] : reflexive(inclusion_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_wellord2) ).
fof(f285,axiom,
! [X0] : transitive(inclusion_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_wellord2) ).
fof(f305,axiom,
! [X0] :
( ordinal(X0)
=> connected(inclusion_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_wellord2) ).
fof(f317,axiom,
! [X0] : antisymmetric(inclusion_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord2) ).
fof(f328,axiom,
! [X0] :
( ordinal(X0)
=> well_founded_relation(inclusion_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_wellord2) ).
fof(f337,conjecture,
! [X0] :
( ordinal(X0)
=> well_ordering(inclusion_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_wellord2) ).
fof(f338,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> well_ordering(inclusion_relation(X0)) ),
inference(negated_conjecture,[status(cth)],[f337]) ).
fof(f418,plain,
! [X0] :
( ( well_ordering(X0)
<=> ( reflexive(X0)
& transitive(X0)
& antisymmetric(X0)
& connected(X0)
& well_founded_relation(X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f650,plain,
! [X0] :
( connected(inclusion_relation(X0))
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f305]) ).
fof(f681,plain,
! [X0] :
( well_founded_relation(inclusion_relation(X0))
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f328]) ).
fof(f690,plain,
? [X0] :
( ~ well_ordering(inclusion_relation(X0))
& ordinal(X0) ),
inference(ennf_transformation,[],[f338]) ).
fof(f918,plain,
! [X0] :
( ~ relation(X0)
| ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ reflexive(X0)
| well_ordering(X0) ),
inference(cnf_transformation,[],[f418]) ).
fof(f997,plain,
! [X0] : relation(inclusion_relation(X0)),
inference(cnf_transformation,[],[f86]) ).
fof(f1288,plain,
! [X0] : reflexive(inclusion_relation(X0)),
inference(cnf_transformation,[],[f262]) ).
fof(f1328,plain,
! [X0] : transitive(inclusion_relation(X0)),
inference(cnf_transformation,[],[f285]) ).
fof(f1356,plain,
! [X0] :
( ~ ordinal(X0)
| connected(inclusion_relation(X0)) ),
inference(cnf_transformation,[],[f650]) ).
fof(f1385,plain,
! [X0] : antisymmetric(inclusion_relation(X0)),
inference(cnf_transformation,[],[f317]) ).
fof(f1403,plain,
! [X0] :
( ~ ordinal(X0)
| well_founded_relation(inclusion_relation(X0)) ),
inference(cnf_transformation,[],[f681]) ).
fof(f1417,plain,
ordinal(sK144),
inference(cnf_transformation,[],[f690]) ).
fof(f1418,plain,
~ well_ordering(inclusion_relation(sK144)),
inference(cnf_transformation,[],[f690]) ).
fof(f1960,plain,
! [X0] :
( ~ transitive(X0)
| well_founded_relation(X0)
| connected(X0)
| antisymmetric(X0)
| ~ relation(X0)
| reflexive(X0)
| well_ordering(X0) ),
inference(consistent_polarity_flipping,[],[f918]) ).
fof(f2241,plain,
! [X0] : ~ reflexive(inclusion_relation(X0)),
inference(consistent_polarity_flipping,[],[f1288]) ).
fof(f2281,plain,
! [X0] :
( ~ connected(inclusion_relation(X0))
| ~ ordinal(X0) ),
inference(consistent_polarity_flipping,[],[f1356]) ).
fof(f2310,plain,
! [X0] : ~ antisymmetric(inclusion_relation(X0)),
inference(consistent_polarity_flipping,[],[f1385]) ).
fof(f2321,plain,
! [X0] :
( ~ well_founded_relation(inclusion_relation(X0))
| ~ ordinal(X0) ),
inference(consistent_polarity_flipping,[],[f1403]) ).
fof(f7061,plain,
! [X0] :
( well_founded_relation(inclusion_relation(X0))
| connected(inclusion_relation(X0))
| antisymmetric(inclusion_relation(X0))
| ~ relation(inclusion_relation(X0))
| reflexive(inclusion_relation(X0))
| well_ordering(inclusion_relation(X0)) ),
inference(resolution,[],[f1960,f1328]) ).
fof(f7064,plain,
! [X0] :
( well_founded_relation(inclusion_relation(X0))
| connected(inclusion_relation(X0))
| ~ relation(inclusion_relation(X0))
| reflexive(inclusion_relation(X0))
| well_ordering(inclusion_relation(X0)) ),
inference(forward_subsumption_resolution,[],[f7061,f2310]) ).
fof(f7065,plain,
! [X0] :
( well_founded_relation(inclusion_relation(X0))
| connected(inclusion_relation(X0))
| reflexive(inclusion_relation(X0))
| well_ordering(inclusion_relation(X0)) ),
inference(forward_subsumption_resolution,[],[f7064,f997]) ).
fof(f7066,plain,
! [X0] :
( well_ordering(inclusion_relation(X0))
| connected(inclusion_relation(X0))
| well_founded_relation(inclusion_relation(X0)) ),
inference(forward_subsumption_resolution,[],[f7065,f2241]) ).
fof(f34016,plain,
( connected(inclusion_relation(sK144))
| well_founded_relation(inclusion_relation(sK144)) ),
inference(resolution,[],[f7066,f1418]) ).
fof(f34033,definition,
( spl147_1449
<=> well_founded_relation(inclusion_relation(sK144)) ),
introduced(definition,[new_symbols(definition,[spl147_1449])],[avatar_definition]) ).
fof(f34035,plain,
( well_founded_relation(inclusion_relation(sK144))
| ~ spl147_1449 ),
inference(avatar_component_clause,[],[f34033]) ).
fof(f34037,definition,
( spl147_1450
<=> connected(inclusion_relation(sK144)) ),
introduced(definition,[new_symbols(definition,[spl147_1450])],[avatar_definition]) ).
fof(f34039,plain,
( connected(inclusion_relation(sK144))
| ~ spl147_1450 ),
inference(avatar_component_clause,[],[f34037]) ).
fof(f34040,plain,
( spl147_1449
| spl147_1450 ),
inference(avatar_split_clause,[],[f34016,f34037,f34033]) ).
fof(f34043,plain,
( ~ ordinal(sK144)
| ~ spl147_1449 ),
inference(resolution,[],[f34035,f2321]) ).
fof(f34052,plain,
( $false
| ~ spl147_1449 ),
inference(forward_subsumption_resolution,[],[f34043,f1417]) ).
fof(f34053,plain,
~ spl147_1449,
inference(avatar_contradiction_clause,[],[f34052]) ).
fof(f34056,plain,
( ~ ordinal(sK144)
| ~ spl147_1450 ),
inference(resolution,[],[f34039,f2281]) ).
fof(f34069,plain,
( $false
| ~ spl147_1450 ),
inference(forward_subsumption_resolution,[],[f34056,f1417]) ).
fof(f34070,plain,
~ spl147_1450,
inference(avatar_contradiction_clause,[],[f34069]) ).
cnf(s1490,plain,
( spl147_1449
| spl147_1450 ),
inference(sat_conversion,[],[f34040]) ).
cnf(s1491,plain,
~ spl147_1449,
inference(sat_conversion,[],[f34053]) ).
cnf(s1492,plain,
~ spl147_1450,
inference(sat_conversion,[],[f34070]) ).
cnf(s1493,plain,
$false,
inference(rat,[],[s1490,s1492,s1491]) ).
fof(f34074,plain,
$false,
inference(avatar_sat_refutation,[],[s1493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU275+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 04:27:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 2.88/0.94 % (4022022)Will run a generic schedule for satisfiability detection.
% 2.88/0.94 % (4022028)% WARNING: option uhcvi not known.
% 2.88/0.94 % (4022028)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=407937590:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.88/0.94 % (4022027)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1730480436_2999 on theBenchmark for (2999ds/0Mi)
% 2.88/0.94 % (4022029)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2621770558:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.88/0.94 % (4022030)dis+10_1_sil=32000:sp=arity:random_seed=3134492261:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.88/0.94 % (4022031)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2751519121:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.88/0.94 % (4022033)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2186738821:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.88/0.94 % (4022032)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3840208854:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.88/0.94 % (4022030)Instruction limit reached!
% 2.88/0.94 % (4022030)------------------------------
% 2.88/0.94 % (4022030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.94 % (4022030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.94 % (4022030)CaDiCaL version: 2.1.3
% 2.88/0.94 % (4022030)Termination reason: Instruction limit
% 2.88/0.94 % (4022030)Termination phase: Saturation
% 2.88/0.94 % (4022030)Time elapsed: 0.066 s
% 2.88/0.94 % (4022030)Peak memory usage: 13 MB
% 2.88/0.94 % (4022030)Instructions burned: 103 (million)
% 2.88/0.94 % (4022031)Instruction limit reached!
% 2.88/0.94 % (4022031)------------------------------
% 2.88/0.94 % (4022031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.94 % (4022031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.94 % (4022031)CaDiCaL version: 2.1.3
% 2.88/0.94 % (4022031)Termination reason: Instruction limit
% 2.88/0.94 % (4022031)Termination phase: Saturation
% 2.88/0.94 % (4022031)Time elapsed: 0.066 s
% 2.88/0.94 % (4022031)Peak memory usage: 13 MB
% 2.88/0.94 % (4022031)Instructions burned: 116 (million)
% 2.88/0.94 % (4022032)Instruction limit reached!
% 2.88/0.94 % (4022032)------------------------------
% 2.88/0.94 % (4022032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.94 % (4022032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.94 % (4022032)CaDiCaL version: 2.1.3
% 2.88/0.94 % (4022032)Termination reason: Instruction limit
% 2.88/0.94 % (4022032)Termination phase: Saturation
% 2.88/0.94 % (4022032)Time elapsed: 0.076 s
% 2.88/0.94 % (4022032)Peak memory usage: 14 MB
% 2.88/0.94 % (4022032)Instructions burned: 131 (million)
% 2.88/0.94 % TRYING [1]
% 2.88/0.94 % (4022041)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3484488440:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.88/0.94 % (4022042)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1279651147:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.88/0.94 % TRYING [2]
% 2.88/0.94 % (4022043)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=504416287:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.88/0.94 % (4022033)Instruction limit reached!
% 2.88/0.94 % (4022033)------------------------------
% 2.88/0.94 % (4022033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.94 % (4022033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.94 % (4022033)CaDiCaL version: 2.1.3
% 2.88/0.94 % (4022033)Termination reason: Instruction limit
% 2.88/0.94 % (4022033)Termination phase: Saturation
% 2.88/0.94 % (4022033)Time elapsed: 0.100 s
% 2.88/0.94 % (4022033)Peak memory usage: 16 MB
% 2.88/0.94 % (4022033)Instructions burned: 160 (million)
% 2.88/0.94 % (4022047)ott-21_1_sil=16000:fs=off:random_seed=3540516924:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.88/0.94 % TRYING [3]
% 2.88/0.94 % TRYING [1]
% 2.88/0.94 % TRYING [2]
% 2.88/0.94 % (4022042)Instruction limit reached!
% 2.88/0.94 % (4022042)------------------------------
% 2.88/0.94 % (4022042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.94 % (4022042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.95 % (4022042)CaDiCaL version: 2.1.3
% 2.88/0.95 % (4022042)Termination reason: Instruction limit
% 2.88/0.95 % (4022042)Termination phase: Saturation
% 2.88/0.95 % (4022042)Time elapsed: 0.074 s
% 2.88/0.95 % (4022042)Peak memory usage: 13 MB
% 2.88/0.95 % (4022042)Instructions burned: 131 (million)
% 2.88/0.95 % (4022049)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4100356615:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.88/0.95 % TRYING [3]
% 2.88/0.95 % (4022047)Instruction limit reached!
% 2.88/0.95 % (4022047)------------------------------
% 2.88/0.95 % (4022047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.95 % (4022047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.95 % (4022047)CaDiCaL version: 2.1.3
% 2.88/0.95 % (4022047)Termination reason: Instruction limit
% 2.88/0.95 % (4022047)Termination phase: Saturation
% 2.88/0.95 % (4022047)Time elapsed: 0.090 s
% 2.88/0.95 % (4022047)Peak memory usage: 14 MB
% 2.88/0.95 % (4022047)Instructions burned: 180 (million)
% 2.88/0.95 % (4022051)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3500511804:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.88/0.95 % TRYING [1]
% 2.88/0.95 % TRYING [2]
% 2.88/0.95 % TRYING [4]
% 2.88/0.95 % (4022041)Instruction limit reached!
% 2.88/0.95 % (4022041)------------------------------
% 2.88/0.95 % (4022041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.95 % (4022041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.95 % (4022041)CaDiCaL version: 2.1.3
% 2.88/0.95 % (4022041)Termination reason: Instruction limit
% 2.88/0.95 % (4022041)Termination phase: Finite model building constraint generation
% 2.88/0.95 % (4022041)Time elapsed: 0.294 s
% 2.88/0.95 % (4022041)Peak memory usage: 40 MB
% 2.88/0.95 % (4022041)Instructions burned: 714 (million)
% 2.88/0.95 % TRYING [4]
% 2.88/0.95 % (4022053)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1996950698:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.88/0.95 % TRYING [3]
% 2.88/0.95 % (4022043)Instruction limit reached!
% 2.88/0.95 % (4022043)------------------------------
% 2.88/0.95 % (4022043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.95 % (4022043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.95 % (4022043)CaDiCaL version: 2.1.3
% 2.88/0.95 % (4022043)Termination reason: Instruction limit
% 2.88/0.95 % (4022043)Termination phase: Saturation
% 2.88/0.95 % (4022043)Time elapsed: 0.355 s
% 2.88/0.95 % (4022043)Peak memory usage: 18 MB
% 2.88/0.95 % (4022043)Instructions burned: 685 (million)
% 2.88/0.95 % (4022055)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3641970884:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.88/0.95 % (4022028) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4022022-4022028"...
% 2.88/0.95 % (4022028)...printing done.
% 2.88/0.95 % (4022028)Refutation found. Thanks to Tanya!
% 2.88/0.95 % SZS status Theorem for theBenchmark
% 2.88/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.88/0.95 % (4022028)------------------------------
% 2.88/0.95 % (4022028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.95 % (4022028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.95 % (4022028)CaDiCaL version: 2.1.3
% 2.88/0.95 % (4022028)Termination reason: Refutation
% 2.88/0.95 % (4022028)Time elapsed: 0.495 s
% 2.88/0.95 % (4022028)Peak memory usage: 27 MB
% 2.88/0.95 % (4022028)Instructions burned: 1479 (million)
% 2.88/0.95 % (4022022)Success in time 0.539 s
% 2.88/0.95 % Vampire exiting
%------------------------------------------------------------------------------