%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL669+1.010 : 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 : n003.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 0.56s 0.50s
% Output : FiniteModel 0.56s
% 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_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_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+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 16:29:56 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 Running first-order model finding
% 0.12/0.37 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
% 0.56/0.50 % (764395)Will run a generic schedule for satisfiability detection.
% 0.56/0.50 % (764402)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2548659111:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.56/0.50 % (764401)% WARNING: option uhcvi not known.
% 0.56/0.50 % (764400)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3594899141_2999 on theBenchmark for (2999ds/0Mi)
% 0.56/0.50 % (764404)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4201121033:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.56/0.50 % (764403)dis+10_1_sil=32000:sp=arity:random_seed=2367059748:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.56/0.50 % (764405)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1178530585:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.56/0.50 % (764406)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2547027669:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.56/0.50 % (764401)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2425299268:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.56/0.50 % (764405)Instruction limit reached!
% 0.56/0.50 % (764405)------------------------------
% 0.56/0.50 % (764405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.50 % (764405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (764405)CaDiCaL version: 2.1.3
% 0.56/0.50 % (764405)Termination reason: Instruction limit
% 0.56/0.50 % (764405)Termination phase: Saturation
% 0.56/0.50 % (764405)Time elapsed: 0.045 s
% 0.56/0.50 % (764405)Peak memory usage: 12 MB
% 0.56/0.50 % (764405)Instructions burned: 131 (million)
% 0.56/0.50 % TRYING [1]
% 0.56/0.50 % (764404)Instruction limit reached!
% 0.56/0.50 % (764404)------------------------------
% 0.56/0.50 % (764404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.50 % (764404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (764404)CaDiCaL version: 2.1.3
% 0.56/0.50 % (764404)Termination reason: Instruction limit
% 0.56/0.50 % (764404)Termination phase: Blocked clause elimination
% 0.56/0.50 % (764404)Time elapsed: 0.056 s
% 0.56/0.50 % (764404)Peak memory usage: 11 MB
% 0.56/0.50 % (764404)Instructions burned: 117 (million)
% 0.56/0.50 % TRYING [2]
% 0.56/0.50 % (764403)Instruction limit reached!
% 0.56/0.50 % (764403)------------------------------
% 0.56/0.50 % (764403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.50 % (764403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (764403)CaDiCaL version: 2.1.3
% 0.56/0.50 % (764403)Termination reason: Instruction limit
% 0.56/0.50 % (764403)Termination phase: Saturation
% 0.56/0.50 % (764403)Time elapsed: 0.059 s
% 0.56/0.50 % (764403)Peak memory usage: 18 MB
% 0.56/0.50 % (764403)Instructions burned: 105 (million)
% 0.56/0.50 % Finite Model Found!
% 0.56/0.50 % SZS status CounterSatisfiable for theBenchmark
% 0.56/0.50 % (764414)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1775738336:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.56/0.50 % (764400) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-764395-764400"...
% 0.56/0.50 % (764400)...printing done.
% 0.56/0.50 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.56/0.50 % (764400)------------------------------
% 0.56/0.50 % (764400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.50 % (764400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.50 % (764400)CaDiCaL version: 2.1.3
% 0.56/0.50 % (764400)Termination reason: Satisfiable
% 0.56/0.50 % (764400)Time elapsed: 0.066 s
% 0.56/0.50 % (764400)Peak memory usage: 15 MB
% 0.56/0.50 % (764400)Instructions burned: 148 (million)
% 0.56/0.50 % (764395)Success in time 0.114 s
% 0.56/0.50 % Vampire exiting
%------------------------------------------------------------------------------