%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX063+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:46:25 PM UTC 2026
% Result : Theorem 1.14s 0.55s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 68 ( 13 unt; 6 def)
% Number of atoms : 167 ( 56 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 158 ( 59 ~; 74 |; 8 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f342,axiom,
rev(nil) = nil,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','corollary-(rev:nil)') ).
fof(f343,axiom,
! [X0] :
( list_succeeds(X0)
=> list_succeeds(rev(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','corollary-(rev:types)') ).
fof(f344,axiom,
! [X0,X1] :
( list_succeeds(X1)
=> rev(cons(X0,X1)) = '**'(rev(X1),cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','corollary-(rev:cons)') ).
fof(f353,axiom,
! [X0,X1] :
( list_succeeds(X0)
=> rev('**'(X0,cons(X1,nil))) = cons(X1,rev(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(rev:app)') ).
fof(f354,axiom,
( ! [X0] :
( ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& rev(rev(X2)) = X2 )
| X0 = nil )
=> rev(rev(X0)) = X0 )
=> ! [X0] :
( list_succeeds(X0)
=> rev(rev(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction) ).
fof(f355,conjecture,
! [X0] :
( list_succeeds(X0)
=> rev(rev(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem-(rev:involution)') ).
fof(f356,negated_conjecture,
~ ! [X0] :
( list_succeeds(X0)
=> rev(rev(X0)) = X0 ),
inference(negated_conjecture,[status(cth)],[f355]) ).
fof(f361,plain,
( ! [X0] :
( ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& rev(rev(X2)) = X2 )
| X0 = nil )
=> rev(rev(X0)) = X0 )
=> ! [X3] :
( list_succeeds(X3)
=> rev(rev(X3)) = X3 ) ),
inference(rectify,[],[f354]) ).
fof(f777,plain,
! [X0] :
( list_succeeds(rev(X0))
| ~ list_succeeds(X0) ),
inference(ennf_transformation,[],[f343]) ).
fof(f778,plain,
! [X0,X1] :
( rev(cons(X0,X1)) = '**'(rev(X1),cons(X0,nil))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f344]) ).
fof(f783,plain,
! [X0,X1] :
( rev('**'(X0,cons(X1,nil))) = cons(X1,rev(X0))
| ~ list_succeeds(X0) ),
inference(ennf_transformation,[],[f353]) ).
fof(f784,plain,
( ! [X3] :
( rev(rev(X3)) = X3
| ~ list_succeeds(X3) )
| ? [X0] :
( rev(rev(X0)) != X0
& ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& rev(rev(X2)) = X2 )
| X0 = nil ) ) ),
inference(ennf_transformation,[],[f361]) ).
fof(f785,plain,
? [X0] :
( rev(rev(X0)) != X0
& list_succeeds(X0) ),
inference(ennf_transformation,[],[f356]) ).
fof(f1462,plain,
nil = rev(nil),
inference(cnf_transformation,[],[f342]) ).
fof(f1463,plain,
! [X0] :
( list_succeeds(rev(X0))
| ~ list_succeeds(X0) ),
inference(cnf_transformation,[],[f777]) ).
fof(f1464,plain,
! [X0,X1] :
( ~ list_succeeds(X1)
| rev(cons(X0,X1)) = '**'(rev(X1),cons(X0,nil)) ),
inference(cnf_transformation,[],[f778]) ).
fof(f1475,plain,
! [X0,X1] :
( ~ list_succeeds(X0)
| rev('**'(X0,cons(X1,nil))) = cons(X1,rev(X0)) ),
inference(cnf_transformation,[],[f783]) ).
fof(f1476,plain,
! [X3] :
( nil = sK149
| sK151 = rev(rev(sK151))
| ~ list_succeeds(X3)
| rev(rev(X3)) = X3 ),
inference(cnf_transformation,[],[f784]) ).
fof(f1477,plain,
! [X3] :
( nil = sK149
| list_succeeds(sK151)
| ~ list_succeeds(X3)
| rev(rev(X3)) = X3 ),
inference(cnf_transformation,[],[f784]) ).
fof(f1478,plain,
! [X3] :
( nil = sK149
| sK149 = cons(sK150,sK151)
| ~ list_succeeds(X3)
| rev(rev(X3)) = X3 ),
inference(cnf_transformation,[],[f784]) ).
fof(f1479,plain,
! [X3] :
( sK149 != rev(rev(sK149))
| ~ list_succeeds(X3)
| rev(rev(X3)) = X3 ),
inference(cnf_transformation,[],[f784]) ).
fof(f1480,plain,
list_succeeds(sK152),
inference(cnf_transformation,[],[f785]) ).
fof(f1481,plain,
sK152 != rev(rev(sK152)),
inference(cnf_transformation,[],[f785]) ).
fof(f1616,definition,
( spl153_1
<=> ! [X3] :
( ~ list_succeeds(X3)
| rev(rev(X3)) = X3 ) ),
introduced(definition,[new_symbols(definition,[spl153_1])],[avatar_definition]) ).
fof(f1617,plain,
( ! [X3] :
( ~ list_succeeds(X3)
| rev(rev(X3)) = X3 )
| ~ spl153_1 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f1619,definition,
( spl153_2
<=> sK151 = rev(rev(sK151)) ),
introduced(definition,[new_symbols(definition,[spl153_2])],[avatar_definition]) ).
fof(f1621,plain,
( sK151 = rev(rev(sK151))
| ~ spl153_2 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f1623,definition,
( spl153_3
<=> nil = sK149 ),
introduced(definition,[new_symbols(definition,[spl153_3])],[avatar_definition]) ).
fof(f1625,plain,
( nil = sK149
| ~ spl153_3 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1626,plain,
( spl153_1
| spl153_2
| spl153_3 ),
inference(avatar_split_clause,[],[f1476,f1623,f1619,f1616]) ).
fof(f1628,definition,
( spl153_4
<=> list_succeeds(sK151) ),
introduced(definition,[new_symbols(definition,[spl153_4])],[avatar_definition]) ).
fof(f1630,plain,
( list_succeeds(sK151)
| ~ spl153_4 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1631,plain,
( spl153_1
| spl153_4
| spl153_3 ),
inference(avatar_split_clause,[],[f1477,f1623,f1628,f1616]) ).
fof(f1633,definition,
( spl153_5
<=> sK149 = cons(sK150,sK151) ),
introduced(definition,[new_symbols(definition,[spl153_5])],[avatar_definition]) ).
fof(f1635,plain,
( sK149 = cons(sK150,sK151)
| ~ spl153_5 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1636,plain,
( spl153_1
| spl153_5
| spl153_3 ),
inference(avatar_split_clause,[],[f1478,f1623,f1633,f1616]) ).
fof(f1638,definition,
( spl153_6
<=> sK149 = rev(rev(sK149)) ),
introduced(definition,[new_symbols(definition,[spl153_6])],[avatar_definition]) ).
fof(f1640,plain,
( sK149 != rev(rev(sK149))
| spl153_6 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1641,plain,
( spl153_1
| ~ spl153_6 ),
inference(avatar_split_clause,[],[f1479,f1638,f1616]) ).
fof(f1751,plain,
( sK152 = rev(rev(sK152))
| ~ spl153_1 ),
inference(resolution,[],[f1617,f1480]) ).
fof(f1753,plain,
( $false
| ~ spl153_1 ),
inference(forward_subsumption_resolution,[],[f1751,f1481]) ).
fof(f1754,plain,
~ spl153_1,
inference(avatar_contradiction_clause,[],[f1753]) ).
fof(f1755,plain,
( nil != rev(rev(nil))
| ~ spl153_3
| spl153_6 ),
inference(forward_demodulation,[],[f1640,f1625]) ).
fof(f1756,plain,
( nil != rev(nil)
| ~ spl153_3
| spl153_6 ),
inference(forward_demodulation,[],[f1755,f1462]) ).
fof(f1757,plain,
( $false
| ~ spl153_3
| spl153_6 ),
inference(forward_subsumption_resolution,[],[f1756,f1462]) ).
fof(f1758,plain,
( ~ spl153_3
| spl153_6 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1780,plain,
( ! [X0] : rev(cons(X0,sK151)) = '**'(rev(sK151),cons(X0,nil))
| ~ spl153_4 ),
inference(resolution,[],[f1464,f1630]) ).
fof(f1785,plain,
! [X0,X1] :
( ~ list_succeeds(X0)
| rev('**'(rev(X0),cons(X1,nil))) = cons(X1,rev(rev(X0))) ),
inference(resolution,[],[f1475,f1463]) ).
fof(f1816,plain,
( ! [X0] : rev('**'(rev(sK151),cons(X0,nil))) = cons(X0,rev(rev(sK151)))
| ~ spl153_4 ),
inference(resolution,[],[f1785,f1630]) ).
fof(f1819,plain,
( ! [X0] : cons(X0,sK151) = rev('**'(rev(sK151),cons(X0,nil)))
| ~ spl153_2
| ~ spl153_4 ),
inference(forward_demodulation,[],[f1816,f1621]) ).
fof(f1822,plain,
( ! [X0] : cons(X0,sK151) = rev(rev(cons(X0,sK151)))
| ~ spl153_2
| ~ spl153_4 ),
inference(forward_demodulation,[],[f1819,f1780]) ).
fof(f1837,plain,
( sK149 = rev(rev(sK149))
| ~ spl153_2
| ~ spl153_4
| ~ spl153_5 ),
inference(superposition,[],[f1822,f1635]) ).
fof(f1840,plain,
( $false
| ~ spl153_2
| ~ spl153_4
| ~ spl153_5
| spl153_6 ),
inference(forward_subsumption_resolution,[],[f1837,f1640]) ).
fof(f1841,plain,
( ~ spl153_2
| ~ spl153_4
| ~ spl153_5
| spl153_6 ),
inference(avatar_contradiction_clause,[],[f1840]) ).
cnf(s1,plain,
( spl153_1
| spl153_2
| spl153_3 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s2,plain,
( spl153_1
| spl153_3
| spl153_4 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s3,plain,
( spl153_1
| spl153_3
| spl153_5 ),
inference(sat_conversion,[],[f1636]) ).
cnf(s4,plain,
( spl153_1
| ~ spl153_6 ),
inference(sat_conversion,[],[f1641]) ).
cnf(s27,plain,
~ spl153_1,
inference(sat_conversion,[],[f1754]) ).
cnf(s28,plain,
( ~ spl153_3
| spl153_6 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s30,plain,
( ~ spl153_2
| ~ spl153_4
| ~ spl153_5
| spl153_6 ),
inference(sat_conversion,[],[f1841]) ).
cnf(s31,plain,
~ spl153_6,
inference(rat,[],[s4,s27]) ).
cnf(s32,plain,
~ spl153_3,
inference(rat,[],[s28,s31]) ).
cnf(s33,plain,
spl153_5,
inference(rat,[],[s3,s32,s27]) ).
cnf(s34,plain,
spl153_4,
inference(rat,[],[s2,s32,s27]) ).
cnf(s35,plain,
~ spl153_2,
inference(rat,[],[s30,s31,s33,s34]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s1,s32,s35,s27]) ).
fof(f1842,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX063+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.25 % Computer : n019.cluster.edu
% 0.13/0.25 % Model : x86_64 x86_64
% 0.13/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.25 % Memory : 8046.5625MB
% 0.13/0.25 % OS : Linux 6.8.0-71-generic
% 0.13/0.25 % CPULimit : 300
% 0.13/0.25 % WCLimit : 300
% 0.13/0.25 % DateTime : Mon Sep 28 14:59:33 UTC 2026
% 0.13/0.26 % CPUTime :
% 0.13/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.31 Running first-order model finding
% 0.26/0.31 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
% 1.14/0.55 % (4063533)Will run a generic schedule for satisfiability detection.
% 1.14/0.55 % (4063540)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1867222465:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.14/0.55 % (4063539)% WARNING: option uhcvi not known.
% 1.14/0.55 % (4063538)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2927603707_2999 on theBenchmark for (2999ds/0Mi)
% 1.14/0.55 % (4063539)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4078231158:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.14/0.55 % (4063541)dis+10_1_sil=32000:sp=arity:random_seed=3785066717:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.14/0.55 % (4063542)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3742588817:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.14/0.55 % (4063543)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3229953674:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.14/0.55 % (4063544)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1164000167:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.14/0.55 % TRYING [1]
% 1.14/0.55 % TRYING [2]
% 1.14/0.55 % TRYING [3]
% 1.14/0.55 % (4063542)Instruction limit reached!
% 1.14/0.55 % (4063542)------------------------------
% 1.14/0.55 % (4063542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.55 % (4063542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.55 % (4063542)CaDiCaL version: 2.1.3
% 1.14/0.55 % (4063542)Termination reason: Instruction limit
% 1.14/0.55 % (4063542)Termination phase: Saturation
% 1.14/0.55 % (4063542)Time elapsed: 0.112 s
% 1.14/0.55 % (4063542)Peak memory usage: 14 MB
% 1.14/0.55 % (4063542)Instructions burned: 116 (million)
% 1.14/0.55 % (4063541)Instruction limit reached!
% 1.14/0.55 % (4063541)------------------------------
% 1.14/0.55 % (4063541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.55 % (4063541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.55 % (4063541)CaDiCaL version: 2.1.3
% 1.14/0.55 % (4063541)Termination reason: Instruction limit
% 1.14/0.55 % (4063541)Termination phase: Saturation
% 1.14/0.55 % (4063541)Time elapsed: 0.114 s
% 1.14/0.55 % (4063541)Peak memory usage: 13 MB
% 1.14/0.55 % (4063541)Instructions burned: 103 (million)
% 1.14/0.55 % (4063543)Instruction limit reached!
% 1.14/0.55 % (4063543)------------------------------
% 1.14/0.55 % (4063543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.55 % (4063543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.55 % (4063543)CaDiCaL version: 2.1.3
% 1.14/0.55 % (4063543)Termination reason: Instruction limit
% 1.14/0.55 % (4063543)Termination phase: Saturation
% 1.14/0.55 % (4063543)Time elapsed: 0.126 s
% 1.14/0.55 % (4063543)Peak memory usage: 14 MB
% 1.14/0.55 % (4063543)Instructions burned: 132 (million)
% 1.14/0.55 % (4063552)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=480956634:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.14/0.55 % (4063553)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2403036026:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.14/0.55 % (4063554)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=1012545379:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.14/0.55 % (4063544)Instruction limit reached!
% 1.14/0.55 % (4063544)------------------------------
% 1.14/0.55 % (4063544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.55 % (4063544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.55 % (4063544)CaDiCaL version: 2.1.3
% 1.14/0.55 % (4063544)Termination reason: Instruction limit
% 1.14/0.55 % (4063544)Termination phase: Saturation
% 1.14/0.55 % (4063544)Time elapsed: 0.156 s
% 1.14/0.55 % (4063544)Peak memory usage: 15 MB
% 1.14/0.55 % (4063544)Instructions burned: 159 (million)
% 1.14/0.55 % (4063554) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4063533-4063554"...
% 1.14/0.55 % (4063554)...printing done.
% 1.14/0.55 % (4063554)Refutation found. Thanks to Tanya!
% 1.14/0.55 % SZS status Theorem for theBenchmark
% 1.14/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.14/0.56 % (4063554)------------------------------
% 1.14/0.56 % (4063554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.56 % (4063554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.56 % (4063554)CaDiCaL version: 2.1.3
% 1.14/0.56 % (4063554)Termination reason: Refutation
% 1.14/0.56 % (4063554)Time elapsed: 0.028 s
% 1.14/0.56 % (4063554)Peak memory usage: 13 MB
% 1.14/0.56 % (4063554)Instructions burned: 36 (million)
% 1.14/0.56 % (4063533)Success in time 0.233 s
% 1.14/0.56 % Vampire exiting
%------------------------------------------------------------------------------