%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL241-1 : 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 : n012.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 1.84s 0.72s
% Output : FiniteModel 1.84s
% 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_$i_5' )
& ( or('fmb_$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_4' )
& ( 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_4' ) ) ).
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 : LCL241-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n012.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:29:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 1.84/0.72 % (2516736)Will run a generic schedule for satisfiability detection.
% 1.84/0.72 % (2516742)% WARNING: option uhcvi not known.
% 1.84/0.72 % (2516741)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4113124449_2999 on theBenchmark for (2999ds/0Mi)
% 1.84/0.72 % (2516743)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1844695229:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.84/0.72 % (2516744)dis+10_1_sil=32000:sp=arity:random_seed=4120285163:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.84/0.72 % (2516745)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2578251408:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.84/0.72 % (2516746)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1546717751:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.84/0.72 % (2516747)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4188776457:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.84/0.72 % (2516742)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1109961832:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.84/0.72 % TRYING [1]
% 1.84/0.72 % TRYING [2]
% 1.84/0.72 % TRYING [3]
% 1.84/0.72 % TRYING [4]
% 1.84/0.72 % (2516745)Instruction limit reached!
% 1.84/0.72 % (2516745)------------------------------
% 1.84/0.72 % (2516745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.72 % (2516745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.72 % (2516745)CaDiCaL version: 2.1.3
% 1.84/0.72 % (2516745)Termination reason: Instruction limit
% 1.84/0.72 % (2516745)Termination phase: Saturation
% 1.84/0.72 % (2516745)Time elapsed: 0.029 s
% 1.84/0.72 % (2516745)Peak memory usage: 11 MB
% 1.84/0.72 % (2516745)Instructions burned: 121 (million)
% 1.84/0.72 % (2516744)Instruction limit reached!
% 1.84/0.72 % (2516744)------------------------------
% 1.84/0.72 % (2516744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.72 % (2516744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.72 % (2516744)CaDiCaL version: 2.1.3
% 1.84/0.72 % (2516744)Termination reason: Instruction limit
% 1.84/0.72 % (2516744)Termination phase: Saturation
% 1.84/0.72 % (2516744)Time elapsed: 0.033 s
% 1.84/0.72 % (2516744)Peak memory usage: 11 MB
% 1.84/0.72 % (2516744)Instructions burned: 104 (million)
% 1.84/0.72 % (2516755)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1068143317:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.84/0.72 % TRYING [1]
% 1.84/0.72 % TRYING [2]
% 1.84/0.72 % TRYING [3]
% 1.84/0.72 % (2516756)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3403458095:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.84/0.72 % (2516746)Instruction limit reached!
% 1.84/0.72 % (2516746)------------------------------
% 1.84/0.72 % (2516746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.72 % (2516746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.72 % (2516746)CaDiCaL version: 2.1.3
% 1.84/0.72 % (2516746)Termination reason: Instruction limit
% 1.84/0.72 % (2516746)Termination phase: Saturation
% 1.84/0.72 % (2516746)Time elapsed: 0.047 s
% 1.84/0.72 % (2516746)Peak memory usage: 12 MB
% 1.84/0.72 % (2516746)Instructions burned: 133 (million)
% 1.84/0.72 % (2516747)Instruction limit reached!
% 1.84/0.72 % (2516747)------------------------------
% 1.84/0.72 % (2516747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.72 % (2516747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.72 % (2516747)CaDiCaL version: 2.1.3
% 1.84/0.72 % (2516747)Termination reason: Instruction limit
% 1.84/0.72 % (2516747)Termination phase: Saturation
% 1.84/0.72 % (2516747)Time elapsed: 0.050 s
% 1.84/0.72 % (2516747)Peak memory usage: 13 MB
% 1.84/0.72 % (2516747)Instructions burned: 160 (million)
% 1.84/0.72 % TRYING [4]
% 1.84/0.72 % (2516759)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=1163884445:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.84/0.72 % (2516760)ott-21_1_sil=16000:fs=off:random_seed=2560109486:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.84/0.72 % (2516756)Instruction limit reached!
% 1.84/0.72 % (2516756)------------------------------
% 1.84/0.72 % (2516756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.72 % (2516756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.72 % (2516756)CaDiCaL version: 2.1.3
% 1.84/0.72 % (2516756)Termination reason: Instruction limit
% 1.84/0.72 % (2516756)Termination phase: Saturation
% 1.84/0.72 % (2516756)Time elapsed: 0.046 s
% 1.84/0.72 % (2516756)Peak memory usage: 12 MB
% 1.84/0.72 % (2516756)Instructions burned: 131 (million)
% 1.84/0.72 % (2516765)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=252963347:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.84/0.72 % (2516760)Instruction limit reached!
% 1.84/0.72 % (2516760)------------------------------
% 1.84/0.72 % (2516760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.72 % (2516760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.72 % (2516760)CaDiCaL version: 2.1.3
% 1.84/0.72 % (2516760)Termination reason: Instruction limit
% 1.84/0.72 % (2516760)Termination phase: Saturation
% 1.84/0.72 % (2516760)Time elapsed: 0.047 s
% 1.84/0.72 % (2516760)Peak memory usage: 12 MB
% 1.84/0.72 % (2516760)Instructions burned: 180 (million)
% 1.84/0.72 % (2516774)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2213756958:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.84/0.72 % TRYING [1]
% 1.84/0.72 % TRYING [2]
% 1.84/0.72 % TRYING [3]
% 1.84/0.72 % TRYING [4]
% 1.84/0.72 % TRYING [5]
% 1.84/0.72 % TRYING [5]
% 1.84/0.72 % TRYING [5]
% 1.84/0.72 % (2516765)Instruction limit reached!
% 1.84/0.72 % (2516765)------------------------------
% 1.84/0.72 % (2516765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.72 % (2516765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.72 % (2516765)CaDiCaL version: 2.1.3
% 1.84/0.72 % (2516765)Termination reason: Instruction limit
% 1.84/0.72 % (2516765)Termination phase: Saturation
% 1.84/0.72 % (2516765)Time elapsed: 0.155 s
% 1.84/0.72 % (2516765)Peak memory usage: 15 MB
% 1.84/0.72 % (2516765)Instructions burned: 481 (million)
% 1.84/0.72 % (2516755)Instruction limit reached!
% 1.84/0.72 % (2516755)------------------------------
% 1.84/0.72 % (2516755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.72 % (2516755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.72 % (2516755)CaDiCaL version: 2.1.3
% 1.84/0.72 % (2516755)Termination reason: Instruction limit
% 1.84/0.72 % (2516755)Termination phase: Finite model building SAT solving
% 1.84/0.72 % (2516755)Time elapsed: 0.226 s
% 1.84/0.72 % (2516755)Peak memory usage: 16 MB
% 1.84/0.72 % (2516755)Instructions burned: 714 (million)
% 1.84/0.72 % (2516834)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2132811676:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.84/0.72 % (2516759)Instruction limit reached!
% 1.84/0.72 % (2516759)------------------------------
% 1.84/0.72 % (2516759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.72 % (2516759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.72 % (2516759)CaDiCaL version: 2.1.3
% 1.84/0.72 % (2516759)Termination reason: Instruction limit
% 1.84/0.72 % (2516759)Termination phase: Saturation
% 1.84/0.72 % (2516759)Time elapsed: 0.214 s
% 1.84/0.72 % (2516759)Peak memory usage: 17 MB
% 1.84/0.72 % (2516759)Instructions burned: 686 (million)
% 1.84/0.72 % (2516835)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2802003274:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 1.84/0.72 % Finite Model Found!
% 1.84/0.72 % SZS status Satisfiable for theBenchmark
% 1.84/0.72 % (2516774) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2516736-2516774"...
% 1.84/0.72 % (2516774)...printing done.
% 1.84/0.72 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.84/0.72 % (2516774)------------------------------
% 1.84/0.72 % (2516774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.84/0.72 % (2516774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/0.72 % (2516774)CaDiCaL version: 2.1.3
% 1.84/0.72 % (2516774)Termination reason: Satisfiable
% 1.84/0.72 % (2516774)Time elapsed: 0.161 s
% 1.84/0.72 % (2516774)Peak memory usage: 13 MB
% 1.84/0.72 % (2516774)Instructions burned: 575 (million)
% 1.84/0.72 % (2516736)Success in time 0.309 s
% 1.84/0.72 % Vampire exiting
%------------------------------------------------------------------------------