%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRA013+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 10:08:27 AM UTC 2026
% Result : CounterSatisfiable 0.17s 0.47s
% Output : FiniteModel 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('declare_$i5',type,
'fmb_$i_5': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_1' != 'fmb_$i_5' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_5' ) ) ).
tff(declare_n1,type,
n1: $i ).
tff(n1_definition,axiom,
n1 = 'fmb_$i_1' ).
tff(declare_n2,type,
n2: $i ).
tff(n2_definition,axiom,
n2 = 'fmb_$i_2' ).
tff(declare_n3,type,
n3: $i ).
tff(n3_definition,axiom,
n3 = 'fmb_$i_3' ).
tff(declare_n4,type,
n4: $i ).
tff(n4_definition,axiom,
n4 = 'fmb_$i_4' ).
tff(declare_n5,type,
n5: $i ).
tff(n5_definition,axiom,
n5 = 'fmb_$i_5' ).
tff(declare_goal,type,
goal: $o ).
tff(goal_definition,axiom,
~ goal ).
tff(declare_red,type,
red: ( $i * $i ) > $o ).
tff(predicate_red,axiom,
( ~ red('fmb_$i_1','fmb_$i_1')
& red('fmb_$i_1','fmb_$i_2')
& red('fmb_$i_1','fmb_$i_3')
& ~ red('fmb_$i_1','fmb_$i_4')
& ~ red('fmb_$i_1','fmb_$i_5')
& red('fmb_$i_2','fmb_$i_1')
& ~ red('fmb_$i_2','fmb_$i_2')
& ~ red('fmb_$i_2','fmb_$i_3')
& ~ red('fmb_$i_2','fmb_$i_4')
& red('fmb_$i_2','fmb_$i_5')
& red('fmb_$i_3','fmb_$i_1')
& ~ red('fmb_$i_3','fmb_$i_2')
& ~ red('fmb_$i_3','fmb_$i_3')
& red('fmb_$i_3','fmb_$i_4')
& ~ red('fmb_$i_3','fmb_$i_5')
& ~ red('fmb_$i_4','fmb_$i_1')
& ~ red('fmb_$i_4','fmb_$i_2')
& ~ red('fmb_$i_4','fmb_$i_3')
& ~ red('fmb_$i_4','fmb_$i_4')
& red('fmb_$i_4','fmb_$i_5')
& ~ red('fmb_$i_5','fmb_$i_1')
& ~ red('fmb_$i_5','fmb_$i_2')
& ~ red('fmb_$i_5','fmb_$i_3')
& red('fmb_$i_5','fmb_$i_4')
& ~ red('fmb_$i_5','fmb_$i_5') ) ).
tff(declare_green,type,
green: ( $i * $i ) > $o ).
tff(predicate_green,axiom,
( ~ green('fmb_$i_1','fmb_$i_1')
& ~ green('fmb_$i_1','fmb_$i_2')
& ~ green('fmb_$i_1','fmb_$i_3')
& green('fmb_$i_1','fmb_$i_4')
& green('fmb_$i_1','fmb_$i_5')
& ~ green('fmb_$i_2','fmb_$i_1')
& ~ green('fmb_$i_2','fmb_$i_2')
& green('fmb_$i_2','fmb_$i_3')
& green('fmb_$i_2','fmb_$i_4')
& ~ green('fmb_$i_2','fmb_$i_5')
& ~ green('fmb_$i_3','fmb_$i_1')
& green('fmb_$i_3','fmb_$i_2')
& ~ green('fmb_$i_3','fmb_$i_3')
& ~ green('fmb_$i_3','fmb_$i_4')
& green('fmb_$i_3','fmb_$i_5')
& green('fmb_$i_4','fmb_$i_1')
& green('fmb_$i_4','fmb_$i_2')
& ~ green('fmb_$i_4','fmb_$i_3')
& ~ green('fmb_$i_4','fmb_$i_4')
& ~ green('fmb_$i_4','fmb_$i_5')
& green('fmb_$i_5','fmb_$i_1')
& ~ green('fmb_$i_5','fmb_$i_2')
& ~ green('fmb_$i_5','fmb_$i_3')
& ~ green('fmb_$i_5','fmb_$i_4')
& ~ green('fmb_$i_5','fmb_$i_5') ) ).
tff(declare_less_than,type,
less_than: ( $i * $i ) > $o ).
tff(predicate_less_than,axiom,
( ~ less_than('fmb_$i_1','fmb_$i_1')
& less_than('fmb_$i_1','fmb_$i_2')
& less_than('fmb_$i_1','fmb_$i_3')
& less_than('fmb_$i_1','fmb_$i_4')
& less_than('fmb_$i_1','fmb_$i_5')
& ~ less_than('fmb_$i_2','fmb_$i_1')
& ~ less_than('fmb_$i_2','fmb_$i_2')
& less_than('fmb_$i_2','fmb_$i_3')
& less_than('fmb_$i_2','fmb_$i_4')
& less_than('fmb_$i_2','fmb_$i_5')
& ~ less_than('fmb_$i_3','fmb_$i_1')
& ~ less_than('fmb_$i_3','fmb_$i_2')
& ~ less_than('fmb_$i_3','fmb_$i_3')
& less_than('fmb_$i_3','fmb_$i_4')
& less_than('fmb_$i_3','fmb_$i_5')
& ~ less_than('fmb_$i_4','fmb_$i_1')
& ~ less_than('fmb_$i_4','fmb_$i_2')
& ~ less_than('fmb_$i_4','fmb_$i_3')
& ~ less_than('fmb_$i_4','fmb_$i_4')
& less_than('fmb_$i_4','fmb_$i_5')
& ~ less_than('fmb_$i_5','fmb_$i_1')
& ~ less_than('fmb_$i_5','fmb_$i_2')
& ~ less_than('fmb_$i_5','fmb_$i_3')
& ~ less_than('fmb_$i_5','fmb_$i_4')
& ~ less_than('fmb_$i_5','fmb_$i_5') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA013+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:47:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.17/0.47 % (3210606)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3210615)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2160416258:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (3210612)% WARNING: option uhcvi not known.
% 0.17/0.47 % (3210611)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1532366722_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (3210612)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3281394299:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (3210613)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3219702672:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (3210614)dis+10_1_sil=32000:sp=arity:random_seed=3476436583:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3210616)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3536619450:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (3210617)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3211155567:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % Detected minimum model sizes of [1]
% 0.17/0.47 % Detected maximum model sizes of [5]
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % TRYING [5]
% 0.17/0.47 % Finite Model Found!
% 0.17/0.47 % SZS status CounterSatisfiable for theBenchmark
% 0.17/0.47 % (3210611) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3210606-3210611"...
% 0.17/0.47 % (3210614) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3210606-3210614"...
% 0.17/0.47 % (3210616) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3210606-3210616"...
% 0.17/0.47 % (3210611)...printing done.
% 0.17/0.47 % (3210614)...printing done.
% 0.17/0.47 % (3210616)...printing done.
% 0.17/0.47 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.17/0.47 % (3210611)------------------------------
% 0.17/0.47 % (3210611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3210611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3210611)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3210611)Termination reason: Satisfiable
% 0.17/0.47 % (3210611)Time elapsed: 0.003 s
% 0.17/0.47 % (3210611)Peak memory usage: 11 MB
% 0.17/0.47 % (3210611)Instructions burned: 4 (million)
% 0.17/0.47 % (3210606)Success in time 0.048 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------