%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM560+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:24:49 PM UTC 2026
% Result : Theorem 0.90s 0.58s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 12 unt; 2 def)
% Number of atoms : 136 ( 8 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 158 ( 67 ~; 67 |; 10 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f64,axiom,
! [X0] :
( aFunction0(X0)
=> aSet0(szDzozmdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
fof(f66,axiom,
! [X0,X1] :
( ( aFunction0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtlbdtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPtt) ).
fof(f67,axiom,
( aFunction0(xF)
& aElement0(xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2693) ).
fof(f68,conjecture,
aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f69,negated_conjecture,
~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
inference(negated_conjecture,[status(cth)],[f68]) ).
fof(f70,plain,
~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
inference(flattening,[],[f69]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f168,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f170,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtlbdtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 ) ) ) )
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f171,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtlbdtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szDzozmdt0(X0))
& sdtlpdtrp0(X0,X3) = X1 ) ) ) )
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f170]) ).
fof(f179,plain,
! [X0,X1] :
( aElementOf0(sK1(X0,X1),X1)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f180,plain,
! [X0,X1] :
( ~ aElementOf0(sK1(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f280,plain,
! [X0] :
( aSet0(szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2)
| sdtlbdtrb0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f171]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aFunction0(X0)
| aSet0(X2)
| sdtlbdtrb0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f171]) ).
fof(f289,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f290,plain,
aFunction0(xF),
inference(cnf_transformation,[],[f67]) ).
fof(f291,plain,
~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)),
inference(cnf_transformation,[],[f70]) ).
fof(f322,plain,
! [X0,X1] :
( aSet0(sdtlbdtrb0(X0,X1))
| ~ aFunction0(X0)
| ~ aElement0(X1) ),
inference(equality_resolution,[],[f288]) ).
fof(f325,plain,
! [X3,X0,X1] :
( ~ aElementOf0(X3,sdtlbdtrb0(X0,X1))
| ~ aFunction0(X0)
| aElementOf0(X3,szDzozmdt0(X0))
| ~ aElement0(X1) ),
inference(equality_resolution,[],[f283]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ aFunction0(X0)
| aElementOf0(sK1(X1,sdtlbdtrb0(X0,X2)),szDzozmdt0(X0))
| ~ aElement0(X2)
| ~ aSet0(X1)
| ~ aSet0(sdtlbdtrb0(X0,X2))
| aSubsetOf0(sdtlbdtrb0(X0,X2),X1) ),
inference(resolution,[],[f325,f179]) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ aFunction0(X0)
| aElementOf0(sK1(X1,sdtlbdtrb0(X0,X2)),szDzozmdt0(X0))
| ~ aElement0(X2)
| ~ aSet0(X1)
| aSubsetOf0(sdtlbdtrb0(X0,X2),X1) ),
inference(forward_subsumption_resolution,[],[f376,f322]) ).
fof(f471,plain,
! [X0,X1] :
( aElementOf0(sK1(X0,sdtlbdtrb0(xF,X1)),szDzozmdt0(xF))
| ~ aElement0(X1)
| ~ aSet0(X0)
| aSubsetOf0(sdtlbdtrb0(xF,X1),X0) ),
inference(resolution,[],[f377,f290]) ).
fof(f472,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aSet0(szDzozmdt0(xF))
| aSubsetOf0(sdtlbdtrb0(xF,X0),szDzozmdt0(xF))
| ~ aSet0(szDzozmdt0(xF))
| ~ aSet0(sdtlbdtrb0(xF,X0))
| aSubsetOf0(sdtlbdtrb0(xF,X0),szDzozmdt0(xF)) ),
inference(resolution,[],[f471,f180]) ).
fof(f476,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aSet0(szDzozmdt0(xF))
| aSubsetOf0(sdtlbdtrb0(xF,X0),szDzozmdt0(xF))
| ~ aSet0(sdtlbdtrb0(xF,X0)) ),
inference(duplicate_literal_removal,[],[f472]) ).
fof(f478,definition,
( spl13_4
<=> aSet0(szDzozmdt0(xF)) ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
fof(f480,plain,
( ~ aSet0(szDzozmdt0(xF))
| spl13_4 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f488,definition,
( spl13_6
<=> ! [X0] :
( ~ aElement0(X0)
| ~ aSet0(sdtlbdtrb0(xF,X0))
| aSubsetOf0(sdtlbdtrb0(xF,X0),szDzozmdt0(xF)) ) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f489,plain,
( ! [X0] :
( ~ aSet0(sdtlbdtrb0(xF,X0))
| ~ aElement0(X0)
| aSubsetOf0(sdtlbdtrb0(xF,X0),szDzozmdt0(xF)) )
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f490,plain,
( ~ spl13_4
| spl13_6 ),
inference(avatar_split_clause,[],[f476,f488,f478]) ).
fof(f491,plain,
( ~ aFunction0(xF)
| spl13_4 ),
inference(resolution,[],[f480,f280]) ).
fof(f492,plain,
( $false
| spl13_4 ),
inference(forward_subsumption_resolution,[],[f491,f290]) ).
fof(f493,plain,
spl13_4,
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f494,plain,
( ! [X0] :
( ~ aElement0(X0)
| aSubsetOf0(sdtlbdtrb0(xF,X0),szDzozmdt0(xF))
| ~ aFunction0(xF)
| ~ aElement0(X0) )
| ~ spl13_6 ),
inference(resolution,[],[f489,f322]) ).
fof(f495,plain,
( ! [X0] :
( ~ aElement0(X0)
| aSubsetOf0(sdtlbdtrb0(xF,X0),szDzozmdt0(xF))
| ~ aFunction0(xF) )
| ~ spl13_6 ),
inference(duplicate_literal_removal,[],[f494]) ).
fof(f496,plain,
( ! [X0] :
( aSubsetOf0(sdtlbdtrb0(xF,X0),szDzozmdt0(xF))
| ~ aElement0(X0) )
| ~ spl13_6 ),
inference(forward_subsumption_resolution,[],[f495,f290]) ).
fof(f504,plain,
( ~ aElement0(xy)
| ~ spl13_6 ),
inference(resolution,[],[f496,f291]) ).
fof(f515,plain,
( $false
| ~ spl13_6 ),
inference(forward_subsumption_resolution,[],[f504,f289]) ).
fof(f516,plain,
~ spl13_6,
inference(avatar_contradiction_clause,[],[f515]) ).
cnf(s5,plain,
( ~ spl13_4
| spl13_6 ),
inference(sat_conversion,[],[f490]) ).
cnf(s6,plain,
spl13_4,
inference(sat_conversion,[],[f493]) ).
cnf(s7,plain,
~ spl13_6,
inference(sat_conversion,[],[f516]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s5,s7,s6]) ).
fof(f525,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM560+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n026.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 20:32:26 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.90/0.58 % (3184469)Will run a generic schedule for satisfiability detection.
% 0.90/0.58 % (3184474)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3476188519_2999 on theBenchmark for (2999ds/0Mi)
% 0.90/0.58 % (3184475)% WARNING: option uhcvi not known.
% 0.90/0.58 % TRYING [1]
% 0.90/0.58 % TRYING [2]
% 0.90/0.58 % (3184475)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3581276015:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.90/0.58 % (3184476)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3519300205:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.90/0.58 % (3184477)dis+10_1_sil=32000:sp=arity:random_seed=3909543108:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.90/0.58 % (3184478)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2742890123:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.90/0.58 % TRYING [3]
% 0.90/0.58 % (3184479)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=248527954:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.58 % (3184480)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3010926097:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.90/0.58 % TRYING [4]
% 0.90/0.58 % TRYING [5]
% 0.90/0.58 % (3184477)Instruction limit reached!
% 0.90/0.58 % (3184477)------------------------------
% 0.90/0.58 % (3184477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3184477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3184477)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3184477)Termination reason: Instruction limit
% 0.90/0.58 % (3184477)Termination phase: Saturation
% 0.90/0.58 % (3184477)Time elapsed: 0.070 s
% 0.90/0.58 % (3184477)Peak memory usage: 13 MB
% 0.90/0.58 % (3184477)Instructions burned: 106 (million)
% 0.90/0.58 % TRYING [6]
% 0.90/0.58 % (3184478)Instruction limit reached!
% 0.90/0.58 % (3184478)------------------------------
% 0.90/0.58 % (3184478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3184478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3184478)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3184478)Termination reason: Instruction limit
% 0.90/0.58 % (3184478)Termination phase: Saturation
% 0.90/0.58 % (3184478)Time elapsed: 0.073 s
% 0.90/0.58 % (3184478)Peak memory usage: 13 MB
% 0.90/0.58 % (3184478)Instructions burned: 117 (million)
% 0.90/0.58 % (3184479)Instruction limit reached!
% 0.90/0.58 % (3184479)------------------------------
% 0.90/0.58 % (3184479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3184479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3184479)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3184479)Termination reason: Instruction limit
% 0.90/0.58 % (3184479)Termination phase: Saturation
% 0.90/0.58 % (3184479)Time elapsed: 0.080 s
% 0.90/0.58 % (3184479)Peak memory usage: 13 MB
% 0.90/0.58 % (3184479)Instructions burned: 131 (million)
% 0.90/0.58 % (3184488)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=63011741:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.90/0.58 % (3184489)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4031856090:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.90/0.58 % (3184490)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=2169569343:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.90/0.58 % TRYING [1]
% 0.90/0.58 % TRYING [2]
% 0.90/0.58 % TRYING [3]
% 0.90/0.58 % (3184480)Instruction limit reached!
% 0.90/0.58 % (3184480)------------------------------
% 0.90/0.58 % (3184480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3184480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3184480)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3184480)Termination reason: Instruction limit
% 0.90/0.58 % (3184480)Termination phase: Saturation
% 0.90/0.58 % (3184480)Time elapsed: 0.108 s
% 0.90/0.58 % (3184480)Peak memory usage: 15 MB
% 0.90/0.58 % (3184480)Instructions burned: 160 (million)
% 0.90/0.58 % (3184490) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3184469-3184490"...
% 0.90/0.58 % (3184490)...printing done.
% 0.90/0.58 % (3184490)Refutation found. Thanks to Tanya!
% 0.90/0.58 % SZS status Theorem for theBenchmark
% 0.90/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.58 % (3184490)------------------------------
% 0.90/0.58 % (3184490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.58 % (3184490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.58 % (3184490)CaDiCaL version: 2.1.3
% 0.90/0.58 % (3184490)Termination reason: Refutation
% 0.90/0.58 % (3184490)Time elapsed: 0.010 s
% 0.90/0.58 % (3184490)Peak memory usage: 13 MB
% 0.90/0.58 % (3184490)Instructions burned: 13 (million)
% 0.90/0.58 % (3184469)Success in time 0.146 s
% 0.90/0.58 % Vampire exiting
%------------------------------------------------------------------------------