%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL183-1 : 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 : 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 11:57:53 AM UTC 2026
% Result : Satisfiable 4.00s 1.07s
% Output : FiniteModel 4.00s
% 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_q,type,
q: $i ).
tff(q_definition,axiom,
q = 'fmb_$i_1' ).
tff(declare_p,type,
p: $i ).
tff(p_definition,axiom,
p = 'fmb_$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_$i_2' )
& ( or('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_1','fmb_$i_4') = 'fmb_$i_2' )
& ( or('fmb_$i_1','fmb_$i_5') = 'fmb_$i_3' )
& ( or('fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( or('fmb_$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_2' )
& ( or('fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( or('fmb_$i_3','fmb_$i_1') = 'fmb_$i_5' )
& ( or('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( or('fmb_$i_3','fmb_$i_3') = 'fmb_$i_5' )
& ( or('fmb_$i_3','fmb_$i_4') = 'fmb_$i_2' )
& ( or('fmb_$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_2' )
& ( or('fmb_$i_4','fmb_$i_3') = 'fmb_$i_2' )
& ( or('fmb_$i_4','fmb_$i_4') = 'fmb_$i_2' )
& ( or('fmb_$i_4','fmb_$i_5') = 'fmb_$i_2' )
& ( or('fmb_$i_5','fmb_$i_1') = 'fmb_$i_3' )
& ( 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_$i_4' )
& ( or('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).
tff(declare_not,type,
not: $i > $i ).
tff(function_not,axiom,
( ( not('fmb_$i_1') = 'fmb_$i_3' )
& ( not('fmb_$i_2') = 'fmb_$i_1' )
& ( not('fmb_$i_3') = 'fmb_$i_4' )
& ( not('fmb_$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
% 0.00/0.04 % Problem : LCL183-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 % Computer : n017.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 15:20:35 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.46 Running first-order model finding
% 0.16/0.47 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
% 4.00/1.07 % (2723242)Will run a generic schedule for satisfiability detection.
% 4.00/1.07 % (2723252)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1704276128:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.00/1.07 % (2723249)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2007736948:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.00/1.07 % (2723248)% WARNING: option uhcvi not known.
% 4.00/1.07 % (2723251)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3055030274:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.00/1.07 % (2723250)dis+10_1_sil=32000:sp=arity:random_seed=2717341904:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.00/1.07 % (2723248)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1387122878:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.00/1.07 % (2723253)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=289829785:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.00/1.07 % (2723247)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2714746399_2999 on theBenchmark for (2999ds/0Mi)
% 4.00/1.07 % TRYING [1]
% 4.00/1.07 % TRYING [2]
% 4.00/1.07 % TRYING [3]
% 4.00/1.07 % (2723252)Instruction limit reached!
% 4.00/1.07 % (2723252)------------------------------
% 4.00/1.07 % (2723252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.07 % (2723252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.07 % (2723252)CaDiCaL version: 2.1.3
% 4.00/1.07 % (2723252)Termination reason: Instruction limit
% 4.00/1.07 % (2723252)Termination phase: Saturation
% 4.00/1.07 % (2723252)Time elapsed: 0.078 s
% 4.00/1.07 % (2723252)Peak memory usage: 12 MB
% 4.00/1.07 % (2723252)Instructions burned: 132 (million)
% 4.00/1.07 % (2723251)Instruction limit reached!
% 4.00/1.07 % (2723251)------------------------------
% 4.00/1.07 % (2723251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.07 % (2723251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.07 % (2723251)CaDiCaL version: 2.1.3
% 4.00/1.07 % (2723251)Termination reason: Instruction limit
% 4.00/1.07 % (2723251)Termination phase: Saturation
% 4.00/1.07 % (2723251)Time elapsed: 0.091 s
% 4.00/1.07 % (2723251)Peak memory usage: 11 MB
% 4.00/1.07 % (2723251)Instructions burned: 117 (million)
% 4.00/1.07 % (2723262)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1646333916:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.00/1.07 % (2723250)Instruction limit reached!
% 4.00/1.07 % (2723250)------------------------------
% 4.00/1.07 % (2723250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.07 % (2723250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.07 % (2723250)CaDiCaL version: 2.1.3
% 4.00/1.07 % (2723250)Termination reason: Instruction limit
% 4.00/1.07 % (2723250)Termination phase: Saturation
% 4.00/1.07 % (2723250)Time elapsed: 0.101 s
% 4.00/1.07 % (2723250)Peak memory usage: 12 MB
% 4.00/1.07 % (2723250)Instructions burned: 103 (million)
% 4.00/1.07 % TRYING [1]
% 4.00/1.07 % TRYING [2]
% 4.00/1.07 % TRYING [3]
% 4.00/1.07 % TRYING [4]
% 4.00/1.07 % (2723264)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2866677970:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.00/1.07 % (2723266)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=1536537815:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.00/1.07 % TRYING [4]
% 4.00/1.07 % (2723264)Instruction limit reached!
% 4.00/1.07 % (2723264)------------------------------
% 4.00/1.07 % (2723264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.07 % (2723264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.07 % (2723264)CaDiCaL version: 2.1.3
% 4.00/1.07 % (2723264)Termination reason: Instruction limit
% 4.00/1.07 % (2723264)Termination phase: Saturation
% 4.00/1.07 % (2723264)Time elapsed: 0.072 s
% 4.00/1.07 % (2723264)Peak memory usage: 12 MB
% 4.00/1.07 % (2723264)Instructions burned: 132 (million)
% 4.00/1.07 % (2723253)Instruction limit reached!
% 4.00/1.07 % (2723253)------------------------------
% 4.00/1.07 % (2723253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.07 % (2723253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.07 % (2723253)CaDiCaL version: 2.1.3
% 4.00/1.07 % (2723253)Termination reason: Instruction limit
% 4.00/1.07 % (2723253)Termination phase: Saturation
% 4.00/1.07 % (2723253)Time elapsed: 0.164 s
% 4.00/1.07 % (2723253)Peak memory usage: 12 MB
% 4.00/1.07 % (2723253)Instructions burned: 159 (million)
% 4.00/1.07 % (2723271)ott-21_1_sil=16000:fs=off:random_seed=3770545557:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 4.00/1.07 % (2723273)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1618927979:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.00/1.07 % (2723271)Instruction limit reached!
% 4.00/1.07 % (2723271)------------------------------
% 4.00/1.07 % (2723271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.07 % (2723271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.07 % (2723271)CaDiCaL version: 2.1.3
% 4.00/1.07 % (2723271)Termination reason: Instruction limit
% 4.00/1.07 % (2723271)Termination phase: Saturation
% 4.00/1.07 % (2723271)Time elapsed: 0.054 s
% 4.00/1.07 % (2723271)Peak memory usage: 12 MB
% 4.00/1.07 % (2723271)Instructions burned: 182 (million)
% 4.00/1.07 % (2723276)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=560328219:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.00/1.07 % TRYING [1]
% 4.00/1.07 % TRYING [2]
% 4.00/1.07 % TRYING [3]
% 4.00/1.07 % TRYING [4]
% 4.00/1.07 % TRYING [5]
% 4.00/1.07 % TRYING [5]
% 4.00/1.07 % Finite Model Found!
% 4.00/1.07 % SZS status Satisfiable for theBenchmark
% 4.00/1.07 % (2723276) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2723242-2723276"...
% 4.00/1.07 % (2723276)...printing done.
% 4.00/1.07 % SZS output start FiniteModel for theBenchmark
% See solution above
% 4.00/1.07 % (2723276)------------------------------
% 4.00/1.07 % (2723276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/1.07 % (2723276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.07 % (2723276)CaDiCaL version: 2.1.3
% 4.00/1.07 % (2723276)Termination reason: Satisfiable
% 4.00/1.07 % (2723276)Time elapsed: 0.289 s
% 4.00/1.07 % (2723276)Peak memory usage: 13 MB
% 4.00/1.07 % (2723276)Instructions burned: 762 (million)
% 4.00/1.07 % (2723242)Success in time 0.59 s
% 4.00/1.07 % Vampire exiting
%------------------------------------------------------------------------------