%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL235-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 11:58:07 AM UTC 2026
% Result : Satisfiable 4.55s 1.06s
% Output : FiniteModel 4.55s
% 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_2' )
& ( 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_$i_1' )
& ( or('fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( or('fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( or('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( or('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_4') = 'fmb_$i_5' )
& ( or('fmb_$i_3','fmb_$i_5') = 'fmb_$i_5' )
& ( or('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( 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_$i_4' )
& ( or('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( or('fmb_$i_5','fmb_$i_2') = 'fmb_$i_2' )
& ( or('fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( or('fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( or('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).
tff(declare_not,type,
not: $i > $i ).
tff(function_not,axiom,
( ( not('fmb_$i_1') = 'fmb_$i_3' )
& ( not('fmb_$i_2') = 'fmb_$i_3' )
& ( not('fmb_$i_3') = 'fmb_$i_4' )
& ( not('fmb_$i_4') = 'fmb_$i_1' )
& ( not('fmb_$i_5') = 'fmb_$i_1' ) ) ).
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
% 0.00/0.02 % Problem : LCL235-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 15:25:07 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 Running first-order model finding
% 0.13/0.38 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
% 4.55/1.06 % (2732781)Will run a generic schedule for satisfiability detection.
% 4.55/1.06 % (2732791)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=251508390:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.55/1.06 % (2732787)% WARNING: option uhcvi not known.
% 4.55/1.06 % (2732786)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2136152134_2999 on theBenchmark for (2999ds/0Mi)
% 4.55/1.06 % (2732792)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3103670053:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.55/1.06 % (2732787)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3067713242:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.55/1.06 % (2732788)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4273227753:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.55/1.06 % (2732789)dis+10_1_sil=32000:sp=arity:random_seed=2469519906:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.55/1.06 % (2732790)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=692590073:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.55/1.06 % TRYING [1]
% 4.55/1.06 % TRYING [2]
% 4.55/1.06 % TRYING [3]
% 4.55/1.06 % TRYING [4]
% 4.55/1.06 % (2732791)Instruction limit reached!
% 4.55/1.06 % (2732791)------------------------------
% 4.55/1.06 % (2732791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.06 % (2732791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.06 % (2732791)CaDiCaL version: 2.1.3
% 4.55/1.06 % (2732791)Termination reason: Instruction limit
% 4.55/1.06 % (2732791)Termination phase: Saturation
% 4.55/1.06 % (2732791)Time elapsed: 0.049 s
% 4.55/1.06 % (2732791)Peak memory usage: 12 MB
% 4.55/1.06 % (2732791)Instructions burned: 131 (million)
% 4.55/1.06 % (2732790)Instruction limit reached!
% 4.55/1.06 % (2732790)------------------------------
% 4.55/1.06 % (2732790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.06 % (2732790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.06 % (2732790)CaDiCaL version: 2.1.3
% 4.55/1.06 % (2732790)Termination reason: Instruction limit
% 4.55/1.06 % (2732790)Termination phase: Saturation
% 4.55/1.06 % (2732790)Time elapsed: 0.054 s
% 4.55/1.06 % (2732790)Peak memory usage: 11 MB
% 4.55/1.06 % (2732790)Instructions burned: 118 (million)
% 4.55/1.06 % (2732789)Instruction limit reached!
% 4.55/1.06 % (2732789)------------------------------
% 4.55/1.06 % (2732789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.06 % (2732789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.06 % (2732789)CaDiCaL version: 2.1.3
% 4.55/1.06 % (2732789)Termination reason: Instruction limit
% 4.55/1.06 % (2732789)Termination phase: Saturation
% 4.55/1.06 % (2732789)Time elapsed: 0.061 s
% 4.55/1.06 % (2732789)Peak memory usage: 11 MB
% 4.55/1.06 % (2732789)Instructions burned: 104 (million)
% 4.55/1.06 % (2732800)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3756417487:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.55/1.06 % TRYING [1]
% 4.55/1.06 % TRYING [2]
% 4.55/1.06 % TRYING [3]
% 4.55/1.06 % (2732801)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4199093462:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.55/1.06 % (2732803)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=2373497629:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.55/1.06 % TRYING [4]
% 4.55/1.06 % (2732792)Instruction limit reached!
% 4.55/1.06 % (2732792)------------------------------
% 4.55/1.06 % (2732792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.06 % (2732792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.06 % (2732792)CaDiCaL version: 2.1.3
% 4.55/1.06 % (2732792)Termination reason: Instruction limit
% 4.55/1.06 % (2732792)Termination phase: Saturation
% 4.55/1.06 % (2732792)Time elapsed: 0.103 s
% 4.55/1.06 % (2732792)Peak memory usage: 12 MB
% 4.55/1.06 % (2732792)Instructions burned: 159 (million)
% 4.55/1.06 % (2732806)ott-21_1_sil=16000:fs=off:random_seed=386007517:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.55/1.06 % (2732801)Instruction limit reached!
% 4.55/1.06 % (2732801)------------------------------
% 4.55/1.06 % (2732801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.06 % (2732801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.06 % (2732801)CaDiCaL version: 2.1.3
% 4.55/1.06 % (2732801)Termination reason: Instruction limit
% 4.55/1.06 % (2732801)Termination phase: Saturation
% 4.55/1.06 % (2732801)Time elapsed: 0.088 s
% 4.55/1.06 % (2732801)Peak memory usage: 12 MB
% 4.55/1.06 % (2732801)Instructions burned: 131 (million)
% 4.55/1.06 % (2732808)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2216734022:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.55/1.06 % (2732806)Instruction limit reached!
% 4.55/1.06 % (2732806)------------------------------
% 4.55/1.06 % (2732806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.06 % (2732806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.06 % (2732806)CaDiCaL version: 2.1.3
% 4.55/1.06 % (2732806)Termination reason: Instruction limit
% 4.55/1.06 % (2732806)Termination phase: Saturation
% 4.55/1.06 % (2732806)Time elapsed: 0.092 s
% 4.55/1.06 % (2732806)Peak memory usage: 12 MB
% 4.55/1.06 % (2732806)Instructions burned: 180 (million)
% 4.55/1.06 % (2732810)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1765278278:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.55/1.06 % TRYING [1]
% 4.55/1.06 % TRYING [2]
% 4.55/1.06 % TRYING [3]
% 4.55/1.06 % TRYING [4]
% 4.55/1.06 % TRYING [5]
% 4.55/1.06 % (2732803)Instruction limit reached!
% 4.55/1.06 % (2732803)------------------------------
% 4.55/1.06 % (2732803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.06 % (2732803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.06 % (2732803)CaDiCaL version: 2.1.3
% 4.55/1.06 % (2732803)Termination reason: Instruction limit
% 4.55/1.06 % (2732803)Termination phase: Saturation
% 4.55/1.06 % (2732803)Time elapsed: 0.385 s
% 4.55/1.06 % (2732803)Peak memory usage: 17 MB
% 4.55/1.06 % (2732803)Instructions burned: 685 (million)
% 4.55/1.06 % (2732808)Instruction limit reached!
% 4.55/1.06 % (2732808)------------------------------
% 4.55/1.06 % (2732808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.06 % (2732808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.06 % (2732808)CaDiCaL version: 2.1.3
% 4.55/1.06 % (2732808)Termination reason: Instruction limit
% 4.55/1.06 % (2732808)Termination phase: Saturation
% 4.55/1.06 % (2732808)Time elapsed: 0.284 s
% 4.55/1.06 % (2732808)Peak memory usage: 14 MB
% 4.55/1.06 % (2732808)Instructions burned: 479 (million)
% 4.55/1.06 % TRYING [5]
% 4.55/1.06 % (2732800)Instruction limit reached!
% 4.55/1.06 % (2732800)------------------------------
% 4.55/1.06 % (2732800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.06 % (2732800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.06 % (2732800)CaDiCaL version: 2.1.3
% 4.55/1.06 % (2732800)Termination reason: Instruction limit
% 4.55/1.06 % (2732800)Termination phase: Finite model building SAT solving
% 4.55/1.06 % (2732800)Time elapsed: 0.418 s
% 4.55/1.06 % (2732800)Peak memory usage: 13 MB
% 4.55/1.06 % (2732800)Instructions burned: 714 (million)
% 4.55/1.06 % (2732813)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3107854230:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.55/1.06 % (2732812)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1663929270:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.55/1.06 % (2732814)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=62168857:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.55/1.06 % TRYING [14]
% 4.55/1.06 % Finite Model Found!
% 4.55/1.06 % SZS status Satisfiable for theBenchmark
% 4.55/1.06 % (2732810) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2732781-2732810"...
% 4.55/1.06 % (2732810)...printing done.
% 4.55/1.06 % SZS output start FiniteModel for theBenchmark
% See solution above
% 4.55/1.06 % (2732810)------------------------------
% 4.55/1.06 % (2732810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.55/1.06 % (2732810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.06 % (2732810)CaDiCaL version: 2.1.3
% 4.55/1.06 % (2732810)Termination reason: Satisfiable
% 4.55/1.06 % (2732810)Time elapsed: 0.398 s
% 4.55/1.06 % (2732810)Peak memory usage: 13 MB
% 4.55/1.06 % (2732810)Instructions burned: 729 (million)
% 4.55/1.06 % (2732781)Success in time 0.669 s
% 4.55/1.06 % Vampire exiting
%------------------------------------------------------------------------------