%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL248-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 11:58:11 AM UTC 2026
% Result : Satisfiable 6.16s 1.42s
% Output : FiniteModel 6.16s
% 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_p,type,
p: $i ).
tff(p_definition,axiom,
p = 'fmb_$i_1' ).
tff(declare_q,type,
q: $i ).
tff(q_definition,axiom,
q = 'fmb_$i_2' ).
tff(declare_or,type,
or: ( $i * $i ) > $i ).
tff(function_or,axiom,
( ( or('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( or('fmb_$i_1','fmb_$i_3') = 'fmb_$i_5' )
& ( or('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( or('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( or('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( or('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_2','fmb_$i_4') = 'fmb_$i_3' )
& ( or('fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( or('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( or('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( or('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_4','fmb_$i_2') = 'fmb_$i_3' )
& ( or('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_5') = 'fmb_$i_5' )
& ( or('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( or('fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( or('fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( or('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' ) ) ).
tff(declare_not,type,
not: $i > $i ).
tff(function_not,axiom,
( ( not('fmb_$i_1') = 'fmb_$i_2' )
& ( not('fmb_$i_2') = 'fmb_$i_3' )
& ( not('fmb_$i_3') = 'fmb_$i_5' )
& ( not('fmb_$i_4') = 'fmb_$i_5' )
& ( not('fmb_$i_5') = 'fmb_$i_2' ) ) ).
tff(declare_axiom,type,
axiom: $i > $o ).
tff(predicate_axiom,axiom,
( axiom('fmb_$i_1')
& ~ axiom('fmb_$i_2')
& ~ axiom('fmb_$i_3')
& axiom('fmb_$i_4')
& ~ axiom('fmb_$i_5') ) ).
tff(declare_theorem,type,
theorem: $i > $o ).
tff(predicate_theorem,axiom,
( theorem('fmb_$i_1')
& ~ theorem('fmb_$i_2')
& theorem('fmb_$i_3')
& theorem('fmb_$i_4')
& theorem('fmb_$i_5') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL248-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.45 % Computer : n005.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 15:30:32 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.51 Running first-order model finding
% 0.23/0.51 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
% 6.16/1.42 % (4141415)Will run a generic schedule for satisfiability detection.
% 6.16/1.42 % (4141424)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=352618661:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.16/1.42 % (4141421)% WARNING: option uhcvi not known.
% 6.16/1.42 % (4141422)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2122830200:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.16/1.42 % (4141423)dis+10_1_sil=32000:sp=arity:random_seed=909884958:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.16/1.42 % (4141421)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2978168853:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.16/1.42 % (4141425)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1059011879:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.16/1.42 % (4141420)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3037353315_2999 on theBenchmark for (2999ds/0Mi)
% 6.16/1.42 % (4141426)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=383600724:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.16/1.42 % TRYING [1]
% 6.16/1.42 % TRYING [2]
% 6.16/1.42 % TRYING [3]
% 6.16/1.42 % (4141424)Instruction limit reached!
% 6.16/1.42 % (4141424)------------------------------
% 6.16/1.42 % (4141424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.42 % (4141424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.42 % (4141424)CaDiCaL version: 2.1.3
% 6.16/1.42 % (4141424)Termination reason: Instruction limit
% 6.16/1.42 % (4141424)Termination phase: Saturation
% 6.16/1.42 % (4141424)Time elapsed: 0.046 s
% 6.16/1.42 % (4141424)Peak memory usage: 11 MB
% 6.16/1.42 % (4141424)Instructions burned: 116 (million)
% 6.16/1.42 % TRYING [4]
% 6.16/1.42 % (4141434)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2243199146:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.16/1.42 % TRYING [1]
% 6.16/1.42 % TRYING [2]
% 6.16/1.42 % TRYING [3]
% 6.16/1.42 % TRYING [4]
% 6.16/1.42 % (4141423)Instruction limit reached!
% 6.16/1.42 % (4141423)------------------------------
% 6.16/1.42 % (4141423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.42 % (4141423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.42 % (4141423)CaDiCaL version: 2.1.3
% 6.16/1.42 % (4141423)Termination reason: Instruction limit
% 6.16/1.42 % (4141423)Termination phase: Saturation
% 6.16/1.42 % (4141423)Time elapsed: 0.098 s
% 6.16/1.42 % (4141423)Peak memory usage: 11 MB
% 6.16/1.42 % (4141423)Instructions burned: 103 (million)
% 6.16/1.42 % (4141425)Instruction limit reached!
% 6.16/1.42 % (4141425)------------------------------
% 6.16/1.42 % (4141425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.42 % (4141425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.42 % (4141425)CaDiCaL version: 2.1.3
% 6.16/1.42 % (4141425)Termination reason: Instruction limit
% 6.16/1.42 % (4141425)Termination phase: Saturation
% 6.16/1.42 % (4141425)Time elapsed: 0.141 s
% 6.16/1.42 % (4141425)Peak memory usage: 12 MB
% 6.16/1.42 % (4141425)Instructions burned: 131 (million)
% 6.16/1.42 % (4141436)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1182557962:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.16/1.42 % (4141426)Instruction limit reached!
% 6.16/1.42 % (4141426)------------------------------
% 6.16/1.42 % (4141426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.42 % (4141426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.42 % (4141426)CaDiCaL version: 2.1.3
% 6.16/1.42 % (4141426)Termination reason: Instruction limit
% 6.16/1.42 % (4141426)Termination phase: Saturation
% 6.16/1.42 % (4141426)Time elapsed: 0.162 s
% 6.16/1.42 % (4141426)Peak memory usage: 12 MB
% 6.16/1.42 % (4141426)Instructions burned: 159 (million)
% 6.16/1.42 % (4141437)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=2334178152:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.16/1.42 % (4141439)ott-21_1_sil=16000:fs=off:random_seed=3720436438:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 6.16/1.42 % (4141436)Instruction limit reached!
% 6.16/1.42 % (4141436)------------------------------
% 6.16/1.42 % (4141436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.42 % (4141436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.42 % (4141436)CaDiCaL version: 2.1.3
% 6.16/1.42 % (4141436)Termination reason: Instruction limit
% 6.16/1.42 % (4141436)Termination phase: Saturation
% 6.16/1.42 % (4141436)Time elapsed: 0.147 s
% 6.16/1.42 % (4141436)Peak memory usage: 12 MB
% 6.16/1.42 % (4141436)Instructions burned: 131 (million)
% 6.16/1.42 % TRYING [5]
% 6.16/1.42 % (4141442)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1616757092:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 6.16/1.42 % (4141439)Instruction limit reached!
% 6.16/1.42 % (4141439)------------------------------
% 6.16/1.42 % (4141439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.42 % (4141439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.42 % (4141439)CaDiCaL version: 2.1.3
% 6.16/1.42 % (4141439)Termination reason: Instruction limit
% 6.16/1.42 % (4141439)Termination phase: Saturation
% 6.16/1.42 % (4141439)Time elapsed: 0.163 s
% 6.16/1.42 % (4141439)Peak memory usage: 12 MB
% 6.16/1.42 % (4141439)Instructions burned: 180 (million)
% 6.16/1.42 % (4141434)Instruction limit reached!
% 6.16/1.42 % (4141434)------------------------------
% 6.16/1.42 % (4141434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.42 % (4141434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.42 % (4141434)CaDiCaL version: 2.1.3
% 6.16/1.42 % (4141434)Termination reason: Instruction limit
% 6.16/1.42 % (4141434)Termination phase: Finite model building SAT solving
% 6.16/1.42 % (4141434)Time elapsed: 0.314 s
% 6.16/1.42 % (4141434)Peak memory usage: 15 MB
% 6.16/1.42 % (4141434)Instructions burned: 716 (million)
% 6.16/1.42 % (4141445)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4122162985:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 6.16/1.42 % TRYING [5]
% 6.16/1.42 % (4141444)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1922104567:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 6.16/1.42 % TRYING [1]
% 6.16/1.42 % TRYING [2]
% 6.16/1.42 % TRYING [3]
% 6.16/1.42 % TRYING [4]
% 6.16/1.42 % TRYING [5]
% 6.16/1.42 % (4141437)Instruction limit reached!
% 6.16/1.42 % (4141437)------------------------------
% 6.16/1.42 % (4141437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.42 % (4141437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.42 % (4141437)CaDiCaL version: 2.1.3
% 6.16/1.42 % (4141437)Termination reason: Instruction limit
% 6.16/1.42 % (4141437)Termination phase: Saturation
% 6.16/1.42 % (4141437)Time elapsed: 0.559 s
% 6.16/1.42 % (4141437)Peak memory usage: 17 MB
% 6.16/1.42 % (4141437)Instructions burned: 685 (million)
% 6.16/1.42 % (4141448)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=551848897:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 6.16/1.42 % (4141442)Instruction limit reached!
% 6.16/1.42 % (4141442)------------------------------
% 6.16/1.42 % (4141442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.42 % (4141442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.42 % (4141442)CaDiCaL version: 2.1.3
% 6.16/1.42 % (4141442)Termination reason: Instruction limit
% 6.16/1.42 % (4141442)Termination phase: Saturation
% 6.16/1.42 % (4141442)Time elapsed: 0.420 s
% 6.16/1.42 % (4141442)Peak memory usage: 14 MB
% 6.16/1.42 % (4141442)Instructions burned: 478 (million)
% 6.16/1.42 % (4141450)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3625479473:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 6.16/1.42 % TRYING [14]
% 6.16/1.42 % Finite Model Found!
% 6.16/1.42 % SZS status Satisfiable for theBenchmark
% 6.16/1.42 % (4141420) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4141415-4141420"...
% 6.16/1.42 % (4141420)...printing done.
% 6.16/1.42 % SZS output start FiniteModel for theBenchmark
% See solution above
% 6.16/1.42 % (4141420)------------------------------
% 6.16/1.42 % (4141420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.42 % (4141420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.42 % (4141420)CaDiCaL version: 2.1.3
% 6.16/1.42 % (4141420)Termination reason: Satisfiable
% 6.16/1.42 % (4141420)Time elapsed: 0.837 s
% 6.16/1.42 % (4141420)Peak memory usage: 17 MB
% 6.16/1.42 % (4141420)Instructions burned: 1119 (million)
% 6.16/1.42 % (4141415)Success in time 0.888 s
% 6.16/1.42 % Vampire exiting
%------------------------------------------------------------------------------