%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL239-1 : 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 : n018.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 11:58:09 AM UTC 2026
% Result : Satisfiable 1.71s 0.74s
% Output : FiniteModel 1.71s
% 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_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_$i_5' )
& ( or('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( 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_$i_4' )
& ( or('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( 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_$i_3' )
& ( or('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( or('fmb_$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_4' )
& ( or('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( or('fmb_$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_$i_1' )
& ( not('fmb_$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
% 0.00/0.03 % Problem : LCL239-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n018.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 15:32:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 1.71/0.74 % (2518233)Will run a generic schedule for satisfiability detection.
% 1.71/0.74 % (2518240)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3809390377:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.71/0.74 % (2518239)% WARNING: option uhcvi not known.
% 1.71/0.74 % (2518238)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1439025248_2999 on theBenchmark for (2999ds/0Mi)
% 1.71/0.74 % (2518239)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3876580381:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.71/0.74 % (2518241)dis+10_1_sil=32000:sp=arity:random_seed=2506667347:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.71/0.74 % (2518243)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1148426773:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.71/0.74 % (2518242)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2867102887:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.71/0.74 % (2518244)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3405862908:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.71/0.74 % TRYING [1]
% 1.71/0.74 % TRYING [2]
% 1.71/0.74 % TRYING [3]
% 1.71/0.74 % TRYING [4]
% 1.71/0.74 % (2518242)Instruction limit reached!
% 1.71/0.74 % (2518242)------------------------------
% 1.71/0.74 % (2518242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (2518242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (2518242)CaDiCaL version: 2.1.3
% 1.71/0.74 % (2518242)Termination reason: Instruction limit
% 1.71/0.74 % (2518242)Termination phase: Saturation
% 1.71/0.74 % (2518242)Time elapsed: 0.054 s
% 1.71/0.74 % (2518242)Peak memory usage: 11 MB
% 1.71/0.74 % (2518242)Instructions burned: 117 (million)
% 1.71/0.74 % (2518241)Instruction limit reached!
% 1.71/0.74 % (2518241)------------------------------
% 1.71/0.74 % (2518241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (2518241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (2518241)CaDiCaL version: 2.1.3
% 1.71/0.74 % (2518241)Termination reason: Instruction limit
% 1.71/0.74 % (2518241)Termination phase: Saturation
% 1.71/0.74 % (2518241)Time elapsed: 0.062 s
% 1.71/0.74 % (2518241)Peak memory usage: 11 MB
% 1.71/0.74 % (2518241)Instructions burned: 104 (million)
% 1.71/0.74 % (2518252)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3933877522:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.71/0.74 % TRYING [1]
% 1.71/0.74 % TRYING [2]
% 1.71/0.74 % TRYING [3]
% 1.71/0.74 % (2518253)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=519426753:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.71/0.74 % TRYING [4]
% 1.71/0.74 % (2518243)Instruction limit reached!
% 1.71/0.74 % (2518243)------------------------------
% 1.71/0.74 % (2518243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (2518243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (2518243)CaDiCaL version: 2.1.3
% 1.71/0.74 % (2518243)Termination reason: Instruction limit
% 1.71/0.74 % (2518243)Termination phase: Saturation
% 1.71/0.74 % (2518243)Time elapsed: 0.090 s
% 1.71/0.74 % (2518243)Peak memory usage: 12 MB
% 1.71/0.74 % (2518243)Instructions burned: 131 (million)
% 1.71/0.74 % (2518244)Instruction limit reached!
% 1.71/0.74 % (2518244)------------------------------
% 1.71/0.74 % (2518244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (2518244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (2518244)CaDiCaL version: 2.1.3
% 1.71/0.74 % (2518244)Termination reason: Instruction limit
% 1.71/0.74 % (2518244)Termination phase: Saturation
% 1.71/0.74 % (2518244)Time elapsed: 0.093 s
% 1.71/0.74 % (2518244)Peak memory usage: 13 MB
% 1.71/0.74 % (2518244)Instructions burned: 159 (million)
% 1.71/0.74 % (2518256)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=2268146030:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.71/0.74 % (2518257)ott-21_1_sil=16000:fs=off:random_seed=3135933429:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.71/0.74 % TRYING [5]
% 1.71/0.74 % (2518253)Instruction limit reached!
% 1.71/0.74 % (2518253)------------------------------
% 1.71/0.74 % (2518253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (2518253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (2518253)CaDiCaL version: 2.1.3
% 1.71/0.74 % (2518253)Termination reason: Instruction limit
% 1.71/0.74 % (2518253)Termination phase: Saturation
% 1.71/0.74 % (2518253)Time elapsed: 0.089 s
% 1.71/0.74 % (2518253)Peak memory usage: 12 MB
% 1.71/0.74 % (2518253)Instructions burned: 131 (million)
% 1.71/0.74 % TRYING [5]
% 1.71/0.74 % (2518260)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4245194610:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.71/0.74 % (2518257)Instruction limit reached!
% 1.71/0.74 % (2518257)------------------------------
% 1.71/0.74 % (2518257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (2518257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (2518257)CaDiCaL version: 2.1.3
% 1.71/0.74 % (2518257)Termination reason: Instruction limit
% 1.71/0.74 % (2518257)Termination phase: Saturation
% 1.71/0.74 % (2518257)Time elapsed: 0.090 s
% 1.71/0.74 % (2518257)Peak memory usage: 12 MB
% 1.71/0.74 % (2518257)Instructions burned: 181 (million)
% 1.71/0.74 % (2518262)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=64852724:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.71/0.74 % TRYING [1]
% 1.71/0.74 % TRYING [2]
% 1.71/0.74 % TRYING [3]
% 1.71/0.74 % TRYING [4]
% 1.71/0.74 % TRYING [5]
% 1.71/0.74 % Finite Model Found!
% 1.71/0.74 % SZS status Satisfiable for theBenchmark
% 1.71/0.74 % (2518238) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2518233-2518238"...
% 1.71/0.74 % (2518238)...printing done.
% 1.71/0.74 % Finite Model Found!
% 1.71/0.74 % SZS status Satisfiable for theBenchmark
% 1.71/0.74 % (2518252) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2518233-2518252"...
% 1.71/0.74 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.71/0.74 % (2518238)------------------------------
% 1.71/0.74 % (2518238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (2518238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (2518238)CaDiCaL version: 2.1.3
% 1.71/0.74 % (2518238)Termination reason: Satisfiable
% 1.71/0.74 % (2518238)Time elapsed: 0.285 s
% 1.71/0.74 % (2518238)Peak memory usage: 16 MB
% 1.71/0.74 % (2518238)Instructions burned: 491 (million)
% 1.71/0.74 % (2518233)Success in time 0.324 s
% 1.71/0.74 % Vampire exiting
%------------------------------------------------------------------------------