%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL181-1 : 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 11:57:52 AM UTC 2026
% Result : Satisfiable 3.86s 1.04s
% Output : FiniteModel 3.86s
% 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_$i_3' )
& ( or('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_1','fmb_$i_4') = 'fmb_$i_5' )
& ( or('fmb_$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_$i_2' )
& ( or('fmb_$i_2','fmb_$i_4') = 'fmb_$i_5' )
& ( or('fmb_$i_2','fmb_$i_5') = 'fmb_$i_5' )
& ( or('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( or('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( or('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' )
& ( 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_$i_4' )
& ( or('fmb_$i_4','fmb_$i_2') = 'fmb_$i_5' )
& ( or('fmb_$i_4','fmb_$i_3') = 'fmb_$i_5' )
& ( or('fmb_$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_4' )
& ( or('fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( or('fmb_$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_$i_5' )
& ( not('fmb_$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
% 0.00/0.03 % Problem : LCL181-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:30:03 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 3.86/1.04 % (2783145)Will run a generic schedule for satisfiability detection.
% 3.86/1.04 % (2783154)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3132196209:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.86/1.04 % (2783151)% WARNING: option uhcvi not known.
% 3.86/1.04 % (2783150)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4252443391_2999 on theBenchmark for (2999ds/0Mi)
% 3.86/1.04 % (2783155)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=47726012:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.86/1.04 % (2783151)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2296128717:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.86/1.04 % (2783152)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3317987909:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.86/1.04 % (2783153)dis+10_1_sil=32000:sp=arity:random_seed=1081625168:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.86/1.04 % (2783156)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2879151892:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.86/1.04 % TRYING [1]
% 3.86/1.04 % TRYING [2]
% 3.86/1.04 % TRYING [3]
% 3.86/1.04 % (2783154)Instruction limit reached!
% 3.86/1.04 % (2783154)------------------------------
% 3.86/1.04 % (2783154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/1.04 % (2783154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.04 % (2783154)CaDiCaL version: 2.1.3
% 3.86/1.04 % (2783154)Termination reason: Instruction limit
% 3.86/1.04 % (2783154)Termination phase: Saturation
% 3.86/1.04 % (2783154)Time elapsed: 0.030 s
% 3.86/1.04 % (2783154)Peak memory usage: 11 MB
% 3.86/1.04 % (2783154)Instructions burned: 120 (million)
% 3.86/1.04 % TRYING [4]
% 3.86/1.04 % (2783164)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3417629991:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.86/1.04 % TRYING [1]
% 3.86/1.04 % TRYING [2]
% 3.86/1.04 % TRYING [3]
% 3.86/1.04 % TRYING [4]
% 3.86/1.04 % (2783153)Instruction limit reached!
% 3.86/1.04 % (2783153)------------------------------
% 3.86/1.04 % (2783153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/1.04 % (2783153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.04 % (2783153)CaDiCaL version: 2.1.3
% 3.86/1.04 % (2783153)Termination reason: Instruction limit
% 3.86/1.04 % (2783153)Termination phase: Saturation
% 3.86/1.04 % (2783153)Time elapsed: 0.062 s
% 3.86/1.04 % (2783153)Peak memory usage: 12 MB
% 3.86/1.04 % (2783153)Instructions burned: 104 (million)
% 3.86/1.04 % (2783166)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=990566346:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.86/1.04 % (2783155)Instruction limit reached!
% 3.86/1.04 % (2783155)------------------------------
% 3.86/1.04 % (2783155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/1.04 % (2783155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.04 % (2783155)CaDiCaL version: 2.1.3
% 3.86/1.04 % (2783155)Termination reason: Instruction limit
% 3.86/1.04 % (2783155)Termination phase: Saturation
% 3.86/1.04 % (2783155)Time elapsed: 0.089 s
% 3.86/1.04 % (2783155)Peak memory usage: 12 MB
% 3.86/1.04 % (2783155)Instructions burned: 131 (million)
% 3.86/1.04 % (2783156)Instruction limit reached!
% 3.86/1.04 % (2783156)------------------------------
% 3.86/1.04 % (2783156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/1.04 % (2783156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.04 % (2783156)CaDiCaL version: 2.1.3
% 3.86/1.04 % (2783156)Termination reason: Instruction limit
% 3.86/1.04 % (2783156)Termination phase: Saturation
% 3.86/1.04 % (2783156)Time elapsed: 0.098 s
% 3.86/1.04 % (2783156)Peak memory usage: 13 MB
% 3.86/1.04 % (2783156)Instructions burned: 159 (million)
% 3.86/1.04 % (2783168)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=3092326297:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.86/1.04 % (2783169)ott-21_1_sil=16000:fs=off:random_seed=81312298:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.86/1.04 % (2783166)Instruction limit reached!
% 3.86/1.04 % (2783166)------------------------------
% 3.86/1.04 % (2783166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/1.04 % (2783166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.04 % (2783166)CaDiCaL version: 2.1.3
% 3.86/1.04 % (2783166)Termination reason: Instruction limit
% 3.86/1.04 % (2783166)Termination phase: Saturation
% 3.86/1.04 % (2783166)Time elapsed: 0.088 s
% 3.86/1.04 % (2783166)Peak memory usage: 12 MB
% 3.86/1.04 % (2783166)Instructions burned: 131 (million)
% 3.86/1.04 % (2783172)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3869799968:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.86/1.04 % (2783169)Instruction limit reached!
% 3.86/1.04 % (2783169)------------------------------
% 3.86/1.04 % (2783169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/1.04 % (2783169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.04 % (2783169)CaDiCaL version: 2.1.3
% 3.86/1.04 % (2783169)Termination reason: Instruction limit
% 3.86/1.04 % (2783169)Termination phase: Saturation
% 3.86/1.04 % (2783169)Time elapsed: 0.099 s
% 3.86/1.04 % (2783169)Peak memory usage: 12 MB
% 3.86/1.04 % (2783169)Instructions burned: 181 (million)
% 3.86/1.04 % (2783174)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1886167602:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.86/1.04 % TRYING [1]
% 3.86/1.04 % TRYING [2]
% 3.86/1.04 % TRYING [3]
% 3.86/1.04 % (2783164)Instruction limit reached!
% 3.86/1.04 % (2783164)------------------------------
% 3.86/1.04 % (2783164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/1.04 % (2783164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.04 % (2783164)CaDiCaL version: 2.1.3
% 3.86/1.04 % (2783164)Termination reason: Instruction limit
% 3.86/1.04 % (2783164)Termination phase: Finite model building SAT solving
% 3.86/1.04 % (2783164)Time elapsed: 0.221 s
% 3.86/1.04 % (2783164)Peak memory usage: 13 MB
% 3.86/1.04 % (2783164)Instructions burned: 717 (million)
% 3.86/1.04 % TRYING [4]
% 3.86/1.04 % (2783176)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=569752620:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.86/1.04 % TRYING [5]
% 3.86/1.04 % (2783172)Instruction limit reached!
% 3.86/1.04 % (2783172)------------------------------
% 3.86/1.04 % (2783172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/1.04 % (2783172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.04 % (2783172)CaDiCaL version: 2.1.3
% 3.86/1.04 % (2783172)Termination reason: Instruction limit
% 3.86/1.04 % (2783172)Termination phase: Saturation
% 3.86/1.04 % (2783172)Time elapsed: 0.280 s
% 3.86/1.04 % (2783172)Peak memory usage: 14 MB
% 3.86/1.04 % (2783172)Instructions burned: 478 (million)
% 3.86/1.04 % TRYING [5]
% 3.86/1.04 % (2783178)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=553219354:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 3.86/1.04 % (2783168)Instruction limit reached!
% 3.86/1.04 % (2783168)------------------------------
% 3.86/1.04 % (2783168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/1.04 % (2783168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.04 % (2783168)CaDiCaL version: 2.1.3
% 3.86/1.04 % (2783168)Termination reason: Instruction limit
% 3.86/1.04 % (2783168)Termination phase: Saturation
% 3.86/1.04 % (2783168)Time elapsed: 0.385 s
% 3.86/1.04 % (2783168)Peak memory usage: 17 MB
% 3.86/1.04 % (2783168)Instructions burned: 685 (million)
% 3.86/1.04 % (2783180)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=2689669371: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)
% 3.86/1.04 % TRYING [14]
% 3.86/1.04 % Finite Model Found!
% 3.86/1.04 % SZS status Satisfiable for theBenchmark
% 3.86/1.04 % (2783174) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2783145-2783174"...
% 3.86/1.04 % (2783174)...printing done.
% 3.86/1.04 % SZS output start FiniteModel for theBenchmark
% See solution above
% 3.86/1.04 % (2783174)------------------------------
% 3.86/1.04 % (2783174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.86/1.04 % (2783174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.86/1.04 % (2783174)CaDiCaL version: 2.1.3
% 3.86/1.04 % (2783174)Termination reason: Satisfiable
% 3.86/1.04 % (2783174)Time elapsed: 0.318 s
% 3.86/1.04 % (2783174)Peak memory usage: 13 MB
% 3.86/1.04 % (2783174)Instructions burned: 599 (million)
% 3.86/1.04 % (2783145)Success in time 0.604 s
% 3.86/1.04 % Vampire exiting
%------------------------------------------------------------------------------