%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL669+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 : n015.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 11:59:57 AM UTC 2026
% Result : CounterSatisfiable 0.51s 0.62s
% Output : FiniteModel 0.51s
% 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_p94,type,
p94: $i > $o ).
tff(predicate_p94,axiom,
( p94('fmb_$i_1')
& p94('fmb_$i_2') ) ).
tff(declare_p92,type,
p92: $i > $o ).
tff(predicate_p92,axiom,
( p92('fmb_$i_1')
& p92('fmb_$i_2') ) ).
tff(declare_p90,type,
p90: $i > $o ).
tff(predicate_p90,axiom,
( p90('fmb_$i_1')
& p90('fmb_$i_2') ) ).
tff(declare_p88,type,
p88: $i > $o ).
tff(predicate_p88,axiom,
( p88('fmb_$i_1')
& p88('fmb_$i_2') ) ).
tff(declare_p86,type,
p86: $i > $o ).
tff(predicate_p86,axiom,
( p86('fmb_$i_1')
& p86('fmb_$i_2') ) ).
tff(declare_p84,type,
p84: $i > $o ).
tff(predicate_p84,axiom,
( p84('fmb_$i_1')
& p84('fmb_$i_2') ) ).
tff(declare_p82,type,
p82: $i > $o ).
tff(predicate_p82,axiom,
( p82('fmb_$i_1')
& p82('fmb_$i_2') ) ).
tff(declare_p80,type,
p80: $i > $o ).
tff(predicate_p80,axiom,
( p80('fmb_$i_1')
& p80('fmb_$i_2') ) ).
tff(declare_p78,type,
p78: $i > $o ).
tff(predicate_p78,axiom,
( p78('fmb_$i_1')
& p78('fmb_$i_2') ) ).
tff(declare_p76,type,
p76: $i > $o ).
tff(predicate_p76,axiom,
( p76('fmb_$i_1')
& p76('fmb_$i_2') ) ).
tff(declare_p74,type,
p74: $i > $o ).
tff(predicate_p74,axiom,
( p74('fmb_$i_1')
& p74('fmb_$i_2') ) ).
tff(declare_p72,type,
p72: $i > $o ).
tff(predicate_p72,axiom,
( p72('fmb_$i_1')
& p72('fmb_$i_2') ) ).
tff(declare_p70,type,
p70: $i > $o ).
tff(predicate_p70,axiom,
( p70('fmb_$i_1')
& p70('fmb_$i_2') ) ).
tff(declare_p68,type,
p68: $i > $o ).
tff(predicate_p68,axiom,
( p68('fmb_$i_1')
& p68('fmb_$i_2') ) ).
tff(declare_p66,type,
p66: $i > $o ).
tff(predicate_p66,axiom,
( p66('fmb_$i_1')
& p66('fmb_$i_2') ) ).
tff(declare_p64,type,
p64: $i > $o ).
tff(predicate_p64,axiom,
( p64('fmb_$i_1')
& p64('fmb_$i_2') ) ).
tff(declare_p62,type,
p62: $i > $o ).
tff(predicate_p62,axiom,
( p62('fmb_$i_1')
& p62('fmb_$i_2') ) ).
tff(declare_p60,type,
p60: $i > $o ).
tff(predicate_p60,axiom,
( p60('fmb_$i_1')
& p60('fmb_$i_2') ) ).
tff(declare_p58,type,
p58: $i > $o ).
tff(predicate_p58,axiom,
( p58('fmb_$i_1')
& p58('fmb_$i_2') ) ).
tff(declare_p56,type,
p56: $i > $o ).
tff(predicate_p56,axiom,
( p56('fmb_$i_1')
& p56('fmb_$i_2') ) ).
tff(declare_p54,type,
p54: $i > $o ).
tff(predicate_p54,axiom,
( p54('fmb_$i_1')
& p54('fmb_$i_2') ) ).
tff(declare_p52,type,
p52: $i > $o ).
tff(predicate_p52,axiom,
( p52('fmb_$i_1')
& p52('fmb_$i_2') ) ).
tff(declare_p50,type,
p50: $i > $o ).
tff(predicate_p50,axiom,
( p50('fmb_$i_1')
& p50('fmb_$i_2') ) ).
tff(declare_p48,type,
p48: $i > $o ).
tff(predicate_p48,axiom,
( ~ p48('fmb_$i_1')
& ~ p48('fmb_$i_2') ) ).
tff(declare_p46,type,
p46: $i > $o ).
tff(predicate_p46,axiom,
( p46('fmb_$i_1')
& ~ p46('fmb_$i_2') ) ).
tff(declare_p44,type,
p44: $i > $o ).
tff(predicate_p44,axiom,
( p44('fmb_$i_1')
& ~ p44('fmb_$i_2') ) ).
tff(declare_p42,type,
p42: $i > $o ).
tff(predicate_p42,axiom,
( p42('fmb_$i_1')
& ~ p42('fmb_$i_2') ) ).
tff(declare_p40,type,
p40: $i > $o ).
tff(predicate_p40,axiom,
( p40('fmb_$i_1')
& ~ p40('fmb_$i_2') ) ).
tff(declare_p38,type,
p38: $i > $o ).
tff(predicate_p38,axiom,
( p38('fmb_$i_1')
& ~ p38('fmb_$i_2') ) ).
tff(declare_p36,type,
p36: $i > $o ).
tff(predicate_p36,axiom,
( p36('fmb_$i_1')
& ~ p36('fmb_$i_2') ) ).
tff(declare_p34,type,
p34: $i > $o ).
tff(predicate_p34,axiom,
( p34('fmb_$i_1')
& ~ p34('fmb_$i_2') ) ).
tff(declare_p32,type,
p32: $i > $o ).
tff(predicate_p32,axiom,
( p32('fmb_$i_1')
& ~ p32('fmb_$i_2') ) ).
tff(declare_p30,type,
p30: $i > $o ).
tff(predicate_p30,axiom,
( p30('fmb_$i_1')
& ~ p30('fmb_$i_2') ) ).
tff(declare_p28,type,
p28: $i > $o ).
tff(predicate_p28,axiom,
( p28('fmb_$i_1')
& ~ p28('fmb_$i_2') ) ).
tff(declare_p26,type,
p26: $i > $o ).
tff(predicate_p26,axiom,
( p26('fmb_$i_1')
& ~ p26('fmb_$i_2') ) ).
tff(declare_p24,type,
p24: $i > $o ).
tff(predicate_p24,axiom,
( p24('fmb_$i_1')
& ~ p24('fmb_$i_2') ) ).
tff(declare_p22,type,
p22: $i > $o ).
tff(predicate_p22,axiom,
( p22('fmb_$i_1')
& ~ p22('fmb_$i_2') ) ).
tff(declare_p20,type,
p20: $i > $o ).
tff(predicate_p20,axiom,
( p20('fmb_$i_1')
& ~ p20('fmb_$i_2') ) ).
tff(declare_p18,type,
p18: $i > $o ).
tff(predicate_p18,axiom,
( p18('fmb_$i_1')
& ~ p18('fmb_$i_2') ) ).
tff(declare_p16,type,
p16: $i > $o ).
tff(predicate_p16,axiom,
( p16('fmb_$i_1')
& ~ p16('fmb_$i_2') ) ).
tff(declare_p14,type,
p14: $i > $o ).
tff(predicate_p14,axiom,
( p14('fmb_$i_1')
& ~ p14('fmb_$i_2') ) ).
tff(declare_p12,type,
p12: $i > $o ).
tff(predicate_p12,axiom,
( p12('fmb_$i_1')
& ~ p12('fmb_$i_2') ) ).
tff(declare_p10,type,
p10: $i > $o ).
tff(predicate_p10,axiom,
( p10('fmb_$i_1')
& ~ p10('fmb_$i_2') ) ).
tff(declare_p8,type,
p8: $i > $o ).
tff(predicate_p8,axiom,
( p8('fmb_$i_1')
& ~ p8('fmb_$i_2') ) ).
tff(declare_p6,type,
p6: $i > $o ).
tff(predicate_p6,axiom,
( p6('fmb_$i_1')
& ~ p6('fmb_$i_2') ) ).
tff(declare_p4,type,
p4: $i > $o ).
tff(predicate_p4,axiom,
( p4('fmb_$i_1')
& ~ p4('fmb_$i_2') ) ).
tff(declare_p2,type,
p2: $i > $o ).
tff(predicate_p2,axiom,
( p2('fmb_$i_1')
& ~ p2('fmb_$i_2') ) ).
tff(declare_p1,type,
p1: $i > $o ).
tff(predicate_p1,axiom,
( ~ p1('fmb_$i_1')
& p1('fmb_$i_2') ) ).
tff(declare_p47,type,
p47: $i > $o ).
tff(predicate_p47,axiom,
( ~ p47('fmb_$i_1')
& ~ p47('fmb_$i_2') ) ).
tff(declare_p45,type,
p45: $i > $o ).
tff(predicate_p45,axiom,
( ~ p45('fmb_$i_1')
& p45('fmb_$i_2') ) ).
tff(declare_p43,type,
p43: $i > $o ).
tff(predicate_p43,axiom,
( ~ p43('fmb_$i_1')
& p43('fmb_$i_2') ) ).
tff(declare_p41,type,
p41: $i > $o ).
tff(predicate_p41,axiom,
( ~ p41('fmb_$i_1')
& p41('fmb_$i_2') ) ).
tff(declare_p39,type,
p39: $i > $o ).
tff(predicate_p39,axiom,
( ~ p39('fmb_$i_1')
& p39('fmb_$i_2') ) ).
tff(declare_p37,type,
p37: $i > $o ).
tff(predicate_p37,axiom,
( ~ p37('fmb_$i_1')
& p37('fmb_$i_2') ) ).
tff(declare_p35,type,
p35: $i > $o ).
tff(predicate_p35,axiom,
( ~ p35('fmb_$i_1')
& p35('fmb_$i_2') ) ).
tff(declare_p33,type,
p33: $i > $o ).
tff(predicate_p33,axiom,
( ~ p33('fmb_$i_1')
& p33('fmb_$i_2') ) ).
tff(declare_p31,type,
p31: $i > $o ).
tff(predicate_p31,axiom,
( ~ p31('fmb_$i_1')
& p31('fmb_$i_2') ) ).
tff(declare_p29,type,
p29: $i > $o ).
tff(predicate_p29,axiom,
( ~ p29('fmb_$i_1')
& p29('fmb_$i_2') ) ).
tff(declare_p27,type,
p27: $i > $o ).
tff(predicate_p27,axiom,
( ~ p27('fmb_$i_1')
& p27('fmb_$i_2') ) ).
tff(declare_p25,type,
p25: $i > $o ).
tff(predicate_p25,axiom,
( ~ p25('fmb_$i_1')
& p25('fmb_$i_2') ) ).
tff(declare_p23,type,
p23: $i > $o ).
tff(predicate_p23,axiom,
( ~ p23('fmb_$i_1')
& p23('fmb_$i_2') ) ).
tff(declare_p21,type,
p21: $i > $o ).
tff(predicate_p21,axiom,
( ~ p21('fmb_$i_1')
& p21('fmb_$i_2') ) ).
tff(declare_p19,type,
p19: $i > $o ).
tff(predicate_p19,axiom,
( ~ p19('fmb_$i_1')
& p19('fmb_$i_2') ) ).
tff(declare_p17,type,
p17: $i > $o ).
tff(predicate_p17,axiom,
( ~ p17('fmb_$i_1')
& p17('fmb_$i_2') ) ).
tff(declare_p15,type,
p15: $i > $o ).
tff(predicate_p15,axiom,
( ~ p15('fmb_$i_1')
& p15('fmb_$i_2') ) ).
tff(declare_p13,type,
p13: $i > $o ).
tff(predicate_p13,axiom,
( ~ p13('fmb_$i_1')
& p13('fmb_$i_2') ) ).
tff(declare_p11,type,
p11: $i > $o ).
tff(predicate_p11,axiom,
( ~ p11('fmb_$i_1')
& p11('fmb_$i_2') ) ).
tff(declare_p9,type,
p9: $i > $o ).
tff(predicate_p9,axiom,
( ~ p9('fmb_$i_1')
& p9('fmb_$i_2') ) ).
tff(declare_p7,type,
p7: $i > $o ).
tff(predicate_p7,axiom,
( ~ p7('fmb_$i_1')
& p7('fmb_$i_2') ) ).
tff(declare_p5,type,
p5: $i > $o ).
tff(predicate_p5,axiom,
( ~ p5('fmb_$i_1')
& p5('fmb_$i_2') ) ).
tff(declare_p3,type,
p3: $i > $o ).
tff(predicate_p3,axiom,
( ~ p3('fmb_$i_1')
& p3('fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL669+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n015.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 16:31:31 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 0.51/0.62 % (1840027)Will run a generic schedule for satisfiability detection.
% 0.51/0.62 % (1840037)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1794658240:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.51/0.62 % (1840033)% WARNING: option uhcvi not known.
% 0.51/0.62 % (1840032)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1190915385_2999 on theBenchmark for (2999ds/0Mi)
% 0.51/0.62 % (1840033)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1762713041:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.51/0.62 % (1840034)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2836071218:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.51/0.62 % (1840035)dis+10_1_sil=32000:sp=arity:random_seed=1719565540:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.51/0.62 % (1840036)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1933030068:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.51/0.62 % (1840038)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3500796344:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.51/0.62 % (1840037)Instruction limit reached!
% 0.51/0.62 % (1840037)------------------------------
% 0.51/0.62 % (1840037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.62 % (1840037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.62 % (1840037)CaDiCaL version: 2.1.3
% 0.51/0.62 % (1840037)Termination reason: Instruction limit
% 0.51/0.62 % (1840037)Termination phase: Saturation
% 0.51/0.62 % (1840037)Time elapsed: 0.025 s
% 0.51/0.62 % (1840037)Peak memory usage: 13 MB
% 0.51/0.62 % (1840037)Instructions burned: 137 (million)
% 0.51/0.62 % (1840046)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2241564149:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.51/0.62 % (1840038)Instruction limit reached!
% 0.51/0.62 % (1840038)------------------------------
% 0.51/0.62 % (1840038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.62 % (1840038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.62 % (1840038)CaDiCaL version: 2.1.3
% 0.51/0.62 % (1840038)Termination reason: Instruction limit
% 0.51/0.62 % (1840038)Termination phase: Saturation
% 0.51/0.62 % (1840038)Time elapsed: 0.055 s
% 0.51/0.62 % (1840038)Peak memory usage: 13 MB
% 0.51/0.62 % (1840038)Instructions burned: 161 (million)
% 0.51/0.62 % (1840035)Instruction limit reached!
% 0.51/0.62 % (1840035)------------------------------
% 0.51/0.62 % (1840035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.62 % (1840035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.62 % (1840035)CaDiCaL version: 2.1.3
% 0.51/0.62 % (1840035)Termination reason: Instruction limit
% 0.51/0.62 % (1840035)Termination phase: Saturation
% 0.51/0.62 % (1840035)Time elapsed: 0.058 s
% 0.51/0.62 % (1840035)Peak memory usage: 18 MB
% 0.51/0.62 % (1840035)Instructions burned: 104 (million)
% 0.51/0.62 % (1840036)Instruction limit reached!
% 0.51/0.62 % (1840036)------------------------------
% 0.51/0.62 % (1840036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.62 % (1840036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.62 % (1840036)CaDiCaL version: 2.1.3
% 0.51/0.62 % (1840036)Termination reason: Instruction limit
% 0.51/0.62 % (1840036)Termination phase: Blocked clause elimination
% 0.51/0.62 % (1840036)Time elapsed: 0.060 s
% 0.51/0.62 % (1840036)Peak memory usage: 12 MB
% 0.51/0.62 % (1840036)Instructions burned: 117 (million)
% 0.51/0.62 % (1840048)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2503196362:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.51/0.62 % (1840049)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=3842595201:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.51/0.62 % (1840050)ott-21_1_sil=16000:fs=off:random_seed=900864638:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.51/0.62 % TRYING [1]
% 0.51/0.62 % TRYING [2]
% 0.51/0.62 % Finite Model Found!
% 0.51/0.62 % SZS status CounterSatisfiable for theBenchmark
% 0.51/0.62 % (1840046) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1840027-1840046"...
% 0.51/0.62 % (1840046)...printing done.
% 0.51/0.62 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.51/0.62 % (1840046)------------------------------
% 0.51/0.62 % (1840046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.51/0.62 % (1840046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.51/0.62 % (1840046)CaDiCaL version: 2.1.3
% 0.51/0.62 % (1840046)Termination reason: Satisfiable
% 0.51/0.62 % (1840046)Time elapsed: 0.074 s
% 0.51/0.62 % (1840046)Peak memory usage: 18 MB
% 0.51/0.62 % (1840046)Instructions burned: 323 (million)
% 0.51/0.62 % (1840027)Success in time 0.172 s
% 0.51/0.62 % Vampire exiting
%------------------------------------------------------------------------------