%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL179-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 11:57:51 AM UTC 2026
% Result : Satisfiable 1.32s 0.69s
% Output : FiniteModel 1.32s
% 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_4' )
& ( or('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( or('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( or('fmb_$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_$i_2' )
& ( or('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( or('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_3','fmb_$i_5') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_1') = 'fmb_$i_3' )
& ( or('fmb_$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_$i_4' )
& ( or('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( or('fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( or('fmb_$i_5','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).
tff(declare_not,type,
not: $i > $i ).
tff(function_not,axiom,
( ( not('fmb_$i_1') = 'fmb_$i_2' )
& ( not('fmb_$i_2') = 'fmb_$i_3' )
& ( not('fmb_$i_3') = 'fmb_$i_1' )
& ( not('fmb_$i_4') = 'fmb_$i_1' )
& ( not('fmb_$i_5') = 'fmb_$i_3' ) ) ).
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 : LCL179-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n016.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 15:29:47 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 1.32/0.69 % (2782731)Will run a generic schedule for satisfiability detection.
% 1.32/0.69 % (2782737)% WARNING: option uhcvi not known.
% 1.32/0.69 % (2782737)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2934909314:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.32/0.69 % (2782736)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2614538895_2999 on theBenchmark for (2999ds/0Mi)
% 1.32/0.69 % (2782738)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=913006870:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.32/0.69 % (2782739)dis+10_1_sil=32000:sp=arity:random_seed=870718969:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.32/0.69 % (2782740)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1639444024:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.32/0.69 % (2782742)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2230700758:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.32/0.69 % (2782741)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3976583270:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.32/0.69 % TRYING [1]
% 1.32/0.69 % TRYING [2]
% 1.32/0.69 % TRYING [3]
% 1.32/0.69 % TRYING [4]
% 1.32/0.69 % (2782740)Instruction limit reached!
% 1.32/0.69 % (2782740)------------------------------
% 1.32/0.69 % (2782740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.69 % (2782740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.69 % (2782740)CaDiCaL version: 2.1.3
% 1.32/0.69 % (2782740)Termination reason: Instruction limit
% 1.32/0.69 % (2782740)Termination phase: Saturation
% 1.32/0.69 % (2782740)Time elapsed: 0.054 s
% 1.32/0.69 % (2782740)Peak memory usage: 11 MB
% 1.32/0.69 % (2782740)Instructions burned: 118 (million)
% 1.32/0.69 % (2782739)Instruction limit reached!
% 1.32/0.69 % (2782739)------------------------------
% 1.32/0.69 % (2782739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.69 % (2782739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.69 % (2782739)CaDiCaL version: 2.1.3
% 1.32/0.69 % (2782739)Termination reason: Instruction limit
% 1.32/0.69 % (2782739)Termination phase: Saturation
% 1.32/0.69 % (2782739)Time elapsed: 0.061 s
% 1.32/0.69 % (2782739)Peak memory usage: 11 MB
% 1.32/0.69 % (2782739)Instructions burned: 103 (million)
% 1.32/0.69 % (2782750)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3641678801:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.32/0.69 % TRYING [1]
% 1.32/0.69 % TRYING [2]
% 1.32/0.69 % TRYING [3]
% 1.32/0.69 % (2782751)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=372566802:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.32/0.69 % TRYING [4]
% 1.32/0.69 % (2782741)Instruction limit reached!
% 1.32/0.69 % (2782741)------------------------------
% 1.32/0.69 % (2782741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.69 % (2782741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.69 % (2782741)CaDiCaL version: 2.1.3
% 1.32/0.69 % (2782741)Termination reason: Instruction limit
% 1.32/0.69 % (2782741)Termination phase: Saturation
% 1.32/0.69 % (2782741)Time elapsed: 0.090 s
% 1.32/0.69 % (2782741)Peak memory usage: 12 MB
% 1.32/0.69 % (2782741)Instructions burned: 132 (million)
% 1.32/0.69 % (2782742)Instruction limit reached!
% 1.32/0.69 % (2782742)------------------------------
% 1.32/0.69 % (2782742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.69 % (2782742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.69 % (2782742)CaDiCaL version: 2.1.3
% 1.32/0.69 % (2782742)Termination reason: Instruction limit
% 1.32/0.69 % (2782742)Termination phase: Saturation
% 1.32/0.69 % (2782742)Time elapsed: 0.097 s
% 1.32/0.69 % (2782742)Peak memory usage: 12 MB
% 1.32/0.69 % (2782742)Instructions burned: 159 (million)
% 1.32/0.69 % TRYING [5]
% 1.32/0.69 % (2782754)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=1910894394:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.32/0.69 % (2782755)ott-21_1_sil=16000:fs=off:random_seed=1493406809:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.32/0.69 % (2782751)Instruction limit reached!
% 1.32/0.69 % (2782751)------------------------------
% 1.32/0.69 % (2782751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.69 % (2782751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.69 % (2782751)CaDiCaL version: 2.1.3
% 1.32/0.69 % (2782751)Termination reason: Instruction limit
% 1.32/0.69 % (2782751)Termination phase: Saturation
% 1.32/0.69 % (2782751)Time elapsed: 0.089 s
% 1.32/0.69 % (2782751)Peak memory usage: 12 MB
% 1.32/0.69 % (2782751)Instructions burned: 132 (million)
% 1.32/0.69 % TRYING [5]
% 1.32/0.69 % (2782758)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=102595849:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.32/0.69 % (2782755)Instruction limit reached!
% 1.32/0.69 % (2782755)------------------------------
% 1.32/0.69 % (2782755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.69 % (2782755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.69 % (2782755)CaDiCaL version: 2.1.3
% 1.32/0.69 % (2782755)Termination reason: Instruction limit
% 1.32/0.69 % (2782755)Termination phase: Saturation
% 1.32/0.69 % (2782755)Time elapsed: 0.090 s
% 1.32/0.69 % (2782755)Peak memory usage: 12 MB
% 1.32/0.69 % (2782755)Instructions burned: 180 (million)
% 1.32/0.69 % Finite Model Found!
% 1.32/0.69 % SZS status Satisfiable for theBenchmark
% 1.32/0.69 % (2782736) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2782731-2782736"...
% 1.32/0.69 % (2782736)...printing done.
% 1.32/0.69 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.32/0.69 % (2782736)------------------------------
% 1.32/0.69 % (2782736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.69 % (2782736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.69 % (2782736)CaDiCaL version: 2.1.3
% 1.32/0.69 % (2782736)Termination reason: Satisfiable
% 1.32/0.69 % (2782736)Time elapsed: 0.223 s
% 1.32/0.69 % (2782736)Peak memory usage: 15 MB
% 1.32/0.69 % (2782736)Instructions burned: 391 (million)
% 1.32/0.69 % (2782731)Success in time 0.266 s
% 1.32/0.69 % Vampire exiting
%------------------------------------------------------------------------------