%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL240-1 : 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 : n014.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 5.08s 1.15s
% Output : FiniteModel 5.08s
% 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_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_$i_2' )
& ( or('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( or('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_1','fmb_$i_5') = 'fmb_$i_4' )
& ( or('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( or('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
& ( or('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( or('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( or('fmb_$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_$i_4' )
& ( or('fmb_$i_3','fmb_$i_5') = 'fmb_$i_4' )
& ( or('fmb_$i_4','fmb_$i_1') = 'fmb_$i_5' )
& ( or('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( 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_5' )
& ( or('fmb_$i_5','fmb_$i_2') = 'fmb_$i_4' )
& ( or('fmb_$i_5','fmb_$i_3') = 'fmb_$i_4' )
& ( or('fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
& ( or('fmb_$i_5','fmb_$i_5') = 'fmb_$i_4' ) ) ).
tff(declare_not,type,
not: $i > $i ).
tff(function_not,axiom,
( ( not('fmb_$i_1') = 'fmb_$i_2' )
& ( not('fmb_$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 : LCL240-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n014.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:29:33 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 5.08/1.15 % (944270)Will run a generic schedule for satisfiability detection.
% 5.08/1.15 % (944284)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=721250730:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.08/1.15 % (944283)% WARNING: option uhcvi not known.
% 5.08/1.15 % (944285)dis+10_1_sil=32000:sp=arity:random_seed=1465932071:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.08/1.15 % (944282)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=185437754_2999 on theBenchmark for (2999ds/0Mi)
% 5.08/1.15 % (944283)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=794908761:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.08/1.15 % TRYING [1]
% 5.08/1.15 % TRYING [2]
% 5.08/1.15 % TRYING [3]
% 5.08/1.15 % (944286)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2803891782:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.08/1.15 % (944288)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2344134407:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.08/1.15 % (944287)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3718439330:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.08/1.15 % TRYING [4]
% 5.08/1.15 % (944285)Instruction limit reached!
% 5.08/1.15 % (944285)------------------------------
% 5.08/1.15 % (944285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.08/1.15 % (944285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.15 % (944285)CaDiCaL version: 2.1.3
% 5.08/1.15 % (944285)Termination reason: Instruction limit
% 5.08/1.15 % (944285)Termination phase: Saturation
% 5.08/1.15 % (944285)Time elapsed: 0.061 s
% 5.08/1.15 % (944285)Peak memory usage: 11 MB
% 5.08/1.15 % (944285)Instructions burned: 104 (million)
% 5.08/1.15 % (944286)Instruction limit reached!
% 5.08/1.15 % (944286)------------------------------
% 5.08/1.15 % (944286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.08/1.15 % (944286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.15 % (944286)CaDiCaL version: 2.1.3
% 5.08/1.15 % (944286)Termination reason: Instruction limit
% 5.08/1.15 % (944286)Termination phase: Saturation
% 5.08/1.15 % (944286)Time elapsed: 0.053 s
% 5.08/1.15 % (944286)Peak memory usage: 11 MB
% 5.08/1.15 % (944286)Instructions burned: 116 (million)
% 5.08/1.15 % (944312)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3314322661:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.08/1.15 % TRYING [1]
% 5.08/1.15 % TRYING [2]
% 5.08/1.15 % TRYING [3]
% 5.08/1.15 % (944313)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=912153198:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.08/1.15 % TRYING [4]
% 5.08/1.15 % (944288)Instruction limit reached!
% 5.08/1.15 % (944288)------------------------------
% 5.08/1.15 % (944288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.08/1.15 % (944288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.15 % (944288)CaDiCaL version: 2.1.3
% 5.08/1.15 % (944288)Termination reason: Instruction limit
% 5.08/1.15 % (944288)Termination phase: Saturation
% 5.08/1.15 % (944288)Time elapsed: 0.104 s
% 5.08/1.15 % (944288)Peak memory usage: 12 MB
% 5.08/1.15 % (944288)Instructions burned: 159 (million)
% 5.08/1.15 % (944287)Instruction limit reached!
% 5.08/1.15 % (944287)------------------------------
% 5.08/1.15 % (944287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.08/1.15 % (944287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.15 % (944287)CaDiCaL version: 2.1.3
% 5.08/1.15 % (944287)Termination reason: Instruction limit
% 5.08/1.15 % (944287)Termination phase: Saturation
% 5.08/1.15 % (944287)Time elapsed: 0.107 s
% 5.08/1.15 % (944287)Peak memory usage: 12 MB
% 5.08/1.15 % (944287)Instructions burned: 132 (million)
% 5.08/1.15 % (944320)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=2014138336:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.08/1.15 % (944325)ott-21_1_sil=16000:fs=off:random_seed=865474123:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.08/1.15 % (944313)Instruction limit reached!
% 5.08/1.15 % (944313)------------------------------
% 5.08/1.15 % (944313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.08/1.15 % (944313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.15 % (944313)CaDiCaL version: 2.1.3
% 5.08/1.15 % (944313)Termination reason: Instruction limit
% 5.08/1.15 % (944313)Termination phase: Saturation
% 5.08/1.15 % (944313)Time elapsed: 0.093 s
% 5.08/1.15 % (944313)Peak memory usage: 13 MB
% 5.08/1.15 % (944313)Instructions burned: 131 (million)
% 5.08/1.15 % TRYING [5]
% 5.08/1.15 % (944333)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3730453219:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.08/1.15 % (944325)Instruction limit reached!
% 5.08/1.15 % (944325)------------------------------
% 5.08/1.15 % (944325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.08/1.15 % (944325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.15 % (944325)CaDiCaL version: 2.1.3
% 5.08/1.15 % (944325)Termination reason: Instruction limit
% 5.08/1.15 % (944325)Termination phase: Saturation
% 5.08/1.15 % (944325)Time elapsed: 0.096 s
% 5.08/1.15 % (944325)Peak memory usage: 12 MB
% 5.08/1.15 % (944325)Instructions burned: 185 (million)
% 5.08/1.15 % (944341)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1453193623:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.08/1.15 % TRYING [1]
% 5.08/1.15 % TRYING [2]
% 5.08/1.15 % TRYING [3]
% 5.08/1.15 % TRYING [4]
% 5.08/1.15 % TRYING [5]
% 5.08/1.15 % TRYING [5]
% 5.08/1.15 % (944333)Instruction limit reached!
% 5.08/1.15 % (944333)------------------------------
% 5.08/1.15 % (944333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.08/1.15 % (944333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.15 % (944333)CaDiCaL version: 2.1.3
% 5.08/1.15 % (944333)Termination reason: Instruction limit
% 5.08/1.15 % (944333)Termination phase: Saturation
% 5.08/1.15 % (944333)Time elapsed: 0.286 s
% 5.08/1.15 % (944333)Peak memory usage: 15 MB
% 5.08/1.15 % (944333)Instructions burned: 477 (million)
% 5.08/1.15 % (944356)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3510437296:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 5.08/1.15 % (944312)Instruction limit reached!
% 5.08/1.15 % (944312)------------------------------
% 5.08/1.15 % (944312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.08/1.15 % (944312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.15 % (944312)CaDiCaL version: 2.1.3
% 5.08/1.15 % (944312)Termination reason: Instruction limit
% 5.08/1.15 % (944312)Termination phase: Finite model building SAT solving
% 5.08/1.15 % (944312)Time elapsed: 0.432 s
% 5.08/1.15 % (944312)Peak memory usage: 17 MB
% 5.08/1.15 % (944312)Instructions burned: 715 (million)
% 5.08/1.15 % (944320)Instruction limit reached!
% 5.08/1.15 % (944320)------------------------------
% 5.08/1.15 % (944320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.08/1.15 % (944320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.15 % (944320)CaDiCaL version: 2.1.3
% 5.08/1.15 % (944320)Termination reason: Instruction limit
% 5.08/1.15 % (944320)Termination phase: Saturation
% 5.08/1.15 % (944320)Time elapsed: 0.395 s
% 5.08/1.15 % (944320)Peak memory usage: 17 MB
% 5.08/1.15 % (944320)Instructions burned: 684 (million)
% 5.08/1.15 % (944358)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2987274636:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 5.08/1.15 % (944359)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=4170396057: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)
% 5.08/1.15 % TRYING [14]
% 5.08/1.15 % Finite Model Found!
% 5.08/1.15 % SZS status Satisfiable for theBenchmark
% 5.08/1.15 % (944341) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-944270-944341"...
% 5.08/1.15 % (944341)...printing done.
% 5.08/1.15 % SZS output start FiniteModel for theBenchmark
% See solution above
% 5.08/1.15 % (944341)------------------------------
% 5.08/1.15 % (944341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.08/1.15 % (944341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.08/1.15 % (944341)CaDiCaL version: 2.1.3
% 5.08/1.15 % (944341)Termination reason: Satisfiable
% 5.08/1.15 % (944341)Time elapsed: 0.420 s
% 5.08/1.15 % (944341)Peak memory usage: 13 MB
% 5.08/1.15 % (944341)Instructions burned: 782 (million)
% 5.08/1.15 % (944270)Success in time 0.716 s
% 5.08/1.15 % Vampire exiting
%------------------------------------------------------------------------------