%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL687+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 12:00:19 PM UTC 2026
% Result : CounterSatisfiable 0.12s 0.44s
% Output : FiniteModel 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' ) ) ).
tff('distinct_domain_$i',axiom,
'fmb_$i_1' != 'fmb_$i_2' ).
tff(declare_r1,type,
r1: ( $i * $i ) > $o ).
tff(predicate_r1,axiom,
( r1('fmb_$i_1','fmb_$i_1')
& r1('fmb_$i_1','fmb_$i_2')
& r1('fmb_$i_2','fmb_$i_1')
& r1('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_p90,type,
p90: $i > $o ).
tff(predicate_p90,axiom,
( ~ p90('fmb_$i_1')
& p90('fmb_$i_2') ) ).
tff(declare_p1,type,
p1: $i > $o ).
tff(predicate_p1,axiom,
( p1('fmb_$i_1')
& p1('fmb_$i_2') ) ).
tff(declare_p85,type,
p85: $i > $o ).
tff(predicate_p85,axiom,
( p85('fmb_$i_1')
& p85('fmb_$i_2') ) ).
tff(declare_p84,type,
p84: $i > $o ).
tff(predicate_p84,axiom,
( p84('fmb_$i_1')
& p84('fmb_$i_2') ) ).
tff(declare_p83,type,
p83: $i > $o ).
tff(predicate_p83,axiom,
( p83('fmb_$i_1')
& p83('fmb_$i_2') ) ).
tff(declare_p82,type,
p82: $i > $o ).
tff(predicate_p82,axiom,
( p82('fmb_$i_1')
& p82('fmb_$i_2') ) ).
tff(declare_p81,type,
p81: $i > $o ).
tff(predicate_p81,axiom,
( p81('fmb_$i_1')
& p81('fmb_$i_2') ) ).
tff(declare_p80,type,
p80: $i > $o ).
tff(predicate_p80,axiom,
( p80('fmb_$i_1')
& p80('fmb_$i_2') ) ).
tff(declare_p79,type,
p79: $i > $o ).
tff(predicate_p79,axiom,
( p79('fmb_$i_1')
& p79('fmb_$i_2') ) ).
tff(declare_p78,type,
p78: $i > $o ).
tff(predicate_p78,axiom,
( p78('fmb_$i_1')
& p78('fmb_$i_2') ) ).
tff(declare_p77,type,
p77: $i > $o ).
tff(predicate_p77,axiom,
( p77('fmb_$i_1')
& p77('fmb_$i_2') ) ).
tff(declare_p76,type,
p76: $i > $o ).
tff(predicate_p76,axiom,
( p76('fmb_$i_1')
& p76('fmb_$i_2') ) ).
tff(declare_p75,type,
p75: $i > $o ).
tff(predicate_p75,axiom,
( p75('fmb_$i_1')
& p75('fmb_$i_2') ) ).
tff(declare_p74,type,
p74: $i > $o ).
tff(predicate_p74,axiom,
( p74('fmb_$i_1')
& p74('fmb_$i_2') ) ).
tff(declare_p73,type,
p73: $i > $o ).
tff(predicate_p73,axiom,
( p73('fmb_$i_1')
& p73('fmb_$i_2') ) ).
tff(declare_p72,type,
p72: $i > $o ).
tff(predicate_p72,axiom,
( p72('fmb_$i_1')
& p72('fmb_$i_2') ) ).
tff(declare_p71,type,
p71: $i > $o ).
tff(predicate_p71,axiom,
( p71('fmb_$i_1')
& p71('fmb_$i_2') ) ).
tff(declare_p70,type,
p70: $i > $o ).
tff(predicate_p70,axiom,
( p70('fmb_$i_1')
& p70('fmb_$i_2') ) ).
tff(declare_p69,type,
p69: $i > $o ).
tff(predicate_p69,axiom,
( p69('fmb_$i_1')
& p69('fmb_$i_2') ) ).
tff(declare_p68,type,
p68: $i > $o ).
tff(predicate_p68,axiom,
( p68('fmb_$i_1')
& p68('fmb_$i_2') ) ).
tff(declare_p67,type,
p67: $i > $o ).
tff(predicate_p67,axiom,
( p67('fmb_$i_1')
& p67('fmb_$i_2') ) ).
tff(declare_p66,type,
p66: $i > $o ).
tff(predicate_p66,axiom,
( p66('fmb_$i_1')
& p66('fmb_$i_2') ) ).
tff(declare_p65,type,
p65: $i > $o ).
tff(predicate_p65,axiom,
( p65('fmb_$i_1')
& p65('fmb_$i_2') ) ).
tff(declare_p64,type,
p64: $i > $o ).
tff(predicate_p64,axiom,
( p64('fmb_$i_1')
& p64('fmb_$i_2') ) ).
tff(declare_p63,type,
p63: $i > $o ).
tff(predicate_p63,axiom,
( p63('fmb_$i_1')
& p63('fmb_$i_2') ) ).
tff(declare_p62,type,
p62: $i > $o ).
tff(predicate_p62,axiom,
( p62('fmb_$i_1')
& p62('fmb_$i_2') ) ).
tff(declare_p61,type,
p61: $i > $o ).
tff(predicate_p61,axiom,
( p61('fmb_$i_1')
& p61('fmb_$i_2') ) ).
tff(declare_p60,type,
p60: $i > $o ).
tff(predicate_p60,axiom,
( p60('fmb_$i_1')
& p60('fmb_$i_2') ) ).
tff(declare_p59,type,
p59: $i > $o ).
tff(predicate_p59,axiom,
( p59('fmb_$i_1')
& p59('fmb_$i_2') ) ).
tff(declare_p58,type,
p58: $i > $o ).
tff(predicate_p58,axiom,
( p58('fmb_$i_1')
& p58('fmb_$i_2') ) ).
tff(declare_p57,type,
p57: $i > $o ).
tff(predicate_p57,axiom,
( p57('fmb_$i_1')
& p57('fmb_$i_2') ) ).
tff(declare_p56,type,
p56: $i > $o ).
tff(predicate_p56,axiom,
( p56('fmb_$i_1')
& p56('fmb_$i_2') ) ).
tff(declare_p55,type,
p55: $i > $o ).
tff(predicate_p55,axiom,
( p55('fmb_$i_1')
& p55('fmb_$i_2') ) ).
tff(declare_p54,type,
p54: $i > $o ).
tff(predicate_p54,axiom,
( p54('fmb_$i_1')
& p54('fmb_$i_2') ) ).
tff(declare_p53,type,
p53: $i > $o ).
tff(predicate_p53,axiom,
( p53('fmb_$i_1')
& p53('fmb_$i_2') ) ).
tff(declare_p52,type,
p52: $i > $o ).
tff(predicate_p52,axiom,
( p52('fmb_$i_1')
& p52('fmb_$i_2') ) ).
tff(declare_p51,type,
p51: $i > $o ).
tff(predicate_p51,axiom,
( p51('fmb_$i_1')
& p51('fmb_$i_2') ) ).
tff(declare_p50,type,
p50: $i > $o ).
tff(predicate_p50,axiom,
( p50('fmb_$i_1')
& p50('fmb_$i_2') ) ).
tff(declare_p49,type,
p49: $i > $o ).
tff(predicate_p49,axiom,
( p49('fmb_$i_1')
& p49('fmb_$i_2') ) ).
tff(declare_p48,type,
p48: $i > $o ).
tff(predicate_p48,axiom,
( p48('fmb_$i_1')
& p48('fmb_$i_2') ) ).
tff(declare_p47,type,
p47: $i > $o ).
tff(predicate_p47,axiom,
( p47('fmb_$i_1')
& p47('fmb_$i_2') ) ).
tff(declare_p46,type,
p46: $i > $o ).
tff(predicate_p46,axiom,
( p46('fmb_$i_1')
& p46('fmb_$i_2') ) ).
tff(declare_p45,type,
p45: $i > $o ).
tff(predicate_p45,axiom,
( p45('fmb_$i_1')
& p45('fmb_$i_2') ) ).
tff(declare_p44,type,
p44: $i > $o ).
tff(predicate_p44,axiom,
( p44('fmb_$i_1')
& p44('fmb_$i_2') ) ).
tff(declare_p43,type,
p43: $i > $o ).
tff(predicate_p43,axiom,
( p43('fmb_$i_1')
& p43('fmb_$i_2') ) ).
tff(declare_p42,type,
p42: $i > $o ).
tff(predicate_p42,axiom,
( p42('fmb_$i_1')
& p42('fmb_$i_2') ) ).
tff(declare_p41,type,
p41: $i > $o ).
tff(predicate_p41,axiom,
( p41('fmb_$i_1')
& p41('fmb_$i_2') ) ).
tff(declare_p40,type,
p40: $i > $o ).
tff(predicate_p40,axiom,
( p40('fmb_$i_1')
& p40('fmb_$i_2') ) ).
tff(declare_p39,type,
p39: $i > $o ).
tff(predicate_p39,axiom,
( p39('fmb_$i_1')
& p39('fmb_$i_2') ) ).
tff(declare_p38,type,
p38: $i > $o ).
tff(predicate_p38,axiom,
( p38('fmb_$i_1')
& p38('fmb_$i_2') ) ).
tff(declare_p37,type,
p37: $i > $o ).
tff(predicate_p37,axiom,
( p37('fmb_$i_1')
& p37('fmb_$i_2') ) ).
tff(declare_p36,type,
p36: $i > $o ).
tff(predicate_p36,axiom,
( p36('fmb_$i_1')
& p36('fmb_$i_2') ) ).
tff(declare_p35,type,
p35: $i > $o ).
tff(predicate_p35,axiom,
( p35('fmb_$i_1')
& p35('fmb_$i_2') ) ).
tff(declare_p34,type,
p34: $i > $o ).
tff(predicate_p34,axiom,
( p34('fmb_$i_1')
& p34('fmb_$i_2') ) ).
tff(declare_p33,type,
p33: $i > $o ).
tff(predicate_p33,axiom,
( p33('fmb_$i_1')
& p33('fmb_$i_2') ) ).
tff(declare_p32,type,
p32: $i > $o ).
tff(predicate_p32,axiom,
( p32('fmb_$i_1')
& p32('fmb_$i_2') ) ).
tff(declare_p31,type,
p31: $i > $o ).
tff(predicate_p31,axiom,
( p31('fmb_$i_1')
& p31('fmb_$i_2') ) ).
tff(declare_p30,type,
p30: $i > $o ).
tff(predicate_p30,axiom,
( p30('fmb_$i_1')
& p30('fmb_$i_2') ) ).
tff(declare_p29,type,
p29: $i > $o ).
tff(predicate_p29,axiom,
( p29('fmb_$i_1')
& p29('fmb_$i_2') ) ).
tff(declare_p28,type,
p28: $i > $o ).
tff(predicate_p28,axiom,
( p28('fmb_$i_1')
& p28('fmb_$i_2') ) ).
tff(declare_p27,type,
p27: $i > $o ).
tff(predicate_p27,axiom,
( p27('fmb_$i_1')
& p27('fmb_$i_2') ) ).
tff(declare_p26,type,
p26: $i > $o ).
tff(predicate_p26,axiom,
( p26('fmb_$i_1')
& p26('fmb_$i_2') ) ).
tff(declare_p25,type,
p25: $i > $o ).
tff(predicate_p25,axiom,
( p25('fmb_$i_1')
& p25('fmb_$i_2') ) ).
tff(declare_p24,type,
p24: $i > $o ).
tff(predicate_p24,axiom,
( p24('fmb_$i_1')
& p24('fmb_$i_2') ) ).
tff(declare_p23,type,
p23: $i > $o ).
tff(predicate_p23,axiom,
( p23('fmb_$i_1')
& p23('fmb_$i_2') ) ).
tff(declare_p22,type,
p22: $i > $o ).
tff(predicate_p22,axiom,
( p22('fmb_$i_1')
& p22('fmb_$i_2') ) ).
tff(declare_p21,type,
p21: $i > $o ).
tff(predicate_p21,axiom,
( p21('fmb_$i_1')
& p21('fmb_$i_2') ) ).
tff(declare_p20,type,
p20: $i > $o ).
tff(predicate_p20,axiom,
( p20('fmb_$i_1')
& p20('fmb_$i_2') ) ).
tff(declare_p19,type,
p19: $i > $o ).
tff(predicate_p19,axiom,
( p19('fmb_$i_1')
& p19('fmb_$i_2') ) ).
tff(declare_p18,type,
p18: $i > $o ).
tff(predicate_p18,axiom,
( p18('fmb_$i_1')
& p18('fmb_$i_2') ) ).
tff(declare_p17,type,
p17: $i > $o ).
tff(predicate_p17,axiom,
( p17('fmb_$i_1')
& p17('fmb_$i_2') ) ).
tff(declare_p16,type,
p16: $i > $o ).
tff(predicate_p16,axiom,
( p16('fmb_$i_1')
& p16('fmb_$i_2') ) ).
tff(declare_p15,type,
p15: $i > $o ).
tff(predicate_p15,axiom,
( p15('fmb_$i_1')
& p15('fmb_$i_2') ) ).
tff(declare_p14,type,
p14: $i > $o ).
tff(predicate_p14,axiom,
( p14('fmb_$i_1')
& p14('fmb_$i_2') ) ).
tff(declare_p13,type,
p13: $i > $o ).
tff(predicate_p13,axiom,
( p13('fmb_$i_1')
& p13('fmb_$i_2') ) ).
tff(declare_p12,type,
p12: $i > $o ).
tff(predicate_p12,axiom,
( p12('fmb_$i_1')
& p12('fmb_$i_2') ) ).
tff(declare_p11,type,
p11: $i > $o ).
tff(predicate_p11,axiom,
( p11('fmb_$i_1')
& p11('fmb_$i_2') ) ).
tff(declare_p10,type,
p10: $i > $o ).
tff(predicate_p10,axiom,
( p10('fmb_$i_1')
& p10('fmb_$i_2') ) ).
tff(declare_p9,type,
p9: $i > $o ).
tff(predicate_p9,axiom,
( p9('fmb_$i_1')
& p9('fmb_$i_2') ) ).
tff(declare_p8,type,
p8: $i > $o ).
tff(predicate_p8,axiom,
( p8('fmb_$i_1')
& p8('fmb_$i_2') ) ).
tff(declare_p7,type,
p7: $i > $o ).
tff(predicate_p7,axiom,
( p7('fmb_$i_1')
& p7('fmb_$i_2') ) ).
tff(declare_p6,type,
p6: $i > $o ).
tff(predicate_p6,axiom,
( p6('fmb_$i_1')
& p6('fmb_$i_2') ) ).
tff(declare_p5,type,
p5: $i > $o ).
tff(predicate_p5,axiom,
( p5('fmb_$i_1')
& p5('fmb_$i_2') ) ).
tff(declare_p4,type,
p4: $i > $o ).
tff(predicate_p4,axiom,
( p4('fmb_$i_1')
& p4('fmb_$i_2') ) ).
tff(declare_p3,type,
p3: $i > $o ).
tff(predicate_p3,axiom,
( p3('fmb_$i_1')
& p3('fmb_$i_2') ) ).
tff(declare_p2,type,
p2: $i > $o ).
tff(predicate_p2,axiom,
( p2('fmb_$i_1')
& p2('fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL687+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 27 16:38:37 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 Running first-order model finding
% 0.12/0.38 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
% 0.12/0.44 % (397996)Will run a generic schedule for satisfiability detection.
% 0.12/0.44 % (398006)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=69547448:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.44 % (398002)% WARNING: option uhcvi not known.
% 0.12/0.44 % (398001)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1741454521_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.44 % (398002)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2406210579:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.44 % (398003)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3169292954:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.44 % (398004)dis+10_1_sil=32000:sp=arity:random_seed=2606906157:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.44 % (398007)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2361178938:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.44 % (398005)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1042048229:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.44 % TRYING [1]
% 0.12/0.44 % TRYING [2]
% 0.12/0.44 % Finite Model Found!
% 0.12/0.44 % SZS status CounterSatisfiable for theBenchmark
% 0.12/0.44 % (398001) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-397996-398001"...
% 0.12/0.44 % (398001)...printing done.
% 0.12/0.44 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.12/0.45 % (398001)------------------------------
% 0.12/0.45 % (398001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (398001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (398001)CaDiCaL version: 2.1.3
% 0.12/0.45 % (398001)Termination reason: Satisfiable
% 0.12/0.45 % (398001)Time elapsed: 0.014 s
% 0.12/0.45 % (398001)Peak memory usage: 12 MB
% 0.12/0.45 % (398001)Instructions burned: 25 (million)
% 0.12/0.45 % (397996)Success in time 0.055 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------