%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT048-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 11:47:45 AM UTC 2026
% Result : Satisfiable 1.07s 0.70s
% Output : FiniteModel 1.07s
% 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': $i ).
tff('declare_$i6',type,
'fmb_$i_6': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' )
| ( X = 'fmb_$i_6' ) ) ).
tff('distinct_domain_$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_$i_1' != 'fmb_$i_6' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_2' != 'fmb_$i_6' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_6' )
& ( 'fmb_$i_4' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_6' )
& ( 'fmb_$i_5' != 'fmb_$i_6' ) ) ).
tff(declare_n1,type,
n1: $i ).
tff(n1_definition,axiom,
n1 = 'fmb_$i_1' ).
tff(declare_n0,type,
n0: $i ).
tff(n0_definition,axiom,
n0 = 'fmb_$i_2' ).
tff(declare_a,type,
a: $i ).
tff(a_definition,axiom,
a = 'fmb_$i_3' ).
tff(declare_b,type,
b: $i ).
tff(b_definition,axiom,
b = 'fmb_$i_4' ).
tff(declare_meet,type,
meet: ( $i * $i ) > $i ).
tff(function_meet,axiom,
( ( meet('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( meet('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( meet('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( meet('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( meet('fmb_$i_1','fmb_$i_6') = 'fmb_$i_6' )
& ( meet('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_5') = 'fmb_$i_2' )
& ( meet('fmb_$i_2','fmb_$i_6') = 'fmb_$i_2' )
& ( meet('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( meet('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( meet('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( meet('fmb_$i_3','fmb_$i_5') = 'fmb_$i_2' )
& ( meet('fmb_$i_3','fmb_$i_6') = 'fmb_$i_2' )
& ( meet('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( meet('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( meet('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( meet('fmb_$i_4','fmb_$i_5') = 'fmb_$i_2' )
& ( meet('fmb_$i_4','fmb_$i_6') = 'fmb_$i_2' )
& ( meet('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( meet('fmb_$i_5','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_5','fmb_$i_3') = 'fmb_$i_2' )
& ( meet('fmb_$i_5','fmb_$i_4') = 'fmb_$i_2' )
& ( meet('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( meet('fmb_$i_5','fmb_$i_6') = 'fmb_$i_6' )
& ( meet('fmb_$i_6','fmb_$i_1') = 'fmb_$i_6' )
& ( meet('fmb_$i_6','fmb_$i_2') = 'fmb_$i_2' )
& ( meet('fmb_$i_6','fmb_$i_3') = 'fmb_$i_2' )
& ( meet('fmb_$i_6','fmb_$i_4') = 'fmb_$i_2' )
& ( meet('fmb_$i_6','fmb_$i_5') = 'fmb_$i_6' )
& ( meet('fmb_$i_6','fmb_$i_6') = 'fmb_$i_6' ) ) ).
tff(declare_join,type,
join: ( $i * $i ) > $i ).
tff(function_join,axiom,
( ( join('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( join('fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( join('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( join('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( join('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( join('fmb_$i_2','fmb_$i_5') = 'fmb_$i_5' )
& ( join('fmb_$i_2','fmb_$i_6') = 'fmb_$i_6' )
& ( join('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( join('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( join('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( join('fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( join('fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( join('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( join('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( join('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( join('fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( join('fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( join('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( join('fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( join('fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( join('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( join('fmb_$i_5','fmb_$i_6') = 'fmb_$i_5' )
& ( join('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( join('fmb_$i_6','fmb_$i_2') = 'fmb_$i_6' )
& ( join('fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( join('fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( join('fmb_$i_6','fmb_$i_5') = 'fmb_$i_5' )
& ( join('fmb_$i_6','fmb_$i_6') = 'fmb_$i_6' ) ) ).
tff(declare_complement,type,
complement: $i > $i ).
tff(function_complement,axiom,
( ( complement('fmb_$i_1') = 'fmb_$i_2' )
& ( complement('fmb_$i_2') = 'fmb_$i_1' )
& ( complement('fmb_$i_3') = 'fmb_$i_5' )
& ( complement('fmb_$i_4') = 'fmb_$i_6' )
& ( complement('fmb_$i_5') = 'fmb_$i_3' )
& ( complement('fmb_$i_6') = 'fmb_$i_4' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT048-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n011.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 13:58:00 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.46 Running first-order model finding
% 0.14/0.46 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
% 1.07/0.70 % (2430106)Will run a generic schedule for satisfiability detection.
% 1.07/0.70 % (2430112)% WARNING: option uhcvi not known.
% 1.07/0.70 % (2430113)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2248033498:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.07/0.70 % (2430112)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3127171908:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.07/0.70 % (2430111)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1725946331_2999 on theBenchmark for (2999ds/0Mi)
% 1.07/0.70 % (2430116)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3787952283:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.07/0.70 % (2430115)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1014709058:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.07/0.70 % TRYING [1]
% 1.07/0.70 % (2430117)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3567846102:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.07/0.70 % (2430114)dis+10_1_sil=32000:sp=arity:random_seed=125370047:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.07/0.70 % TRYING [2]
% 1.07/0.70 % TRYING [3]
% 1.07/0.70 % TRYING [4]
% 1.07/0.70 % TRYING [5]
% 1.07/0.70 % TRYING [6]
% 1.07/0.70 % (2430114)Instruction limit reached!
% 1.07/0.70 % (2430114)------------------------------
% 1.07/0.70 % (2430114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.70 % (2430114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.70 % (2430114)CaDiCaL version: 2.1.3
% 1.07/0.70 % (2430114)Termination reason: Instruction limit
% 1.07/0.70 % (2430114)Termination phase: Saturation
% 1.07/0.70 % (2430114)Time elapsed: 0.099 s
% 1.07/0.70 % (2430114)Peak memory usage: 12 MB
% 1.07/0.70 % (2430114)Instructions burned: 103 (million)
% 1.07/0.70 % (2430115)Instruction limit reached!
% 1.07/0.70 % (2430115)------------------------------
% 1.07/0.70 % (2430115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.70 % (2430115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.70 % (2430115)CaDiCaL version: 2.1.3
% 1.07/0.70 % (2430115)Termination reason: Instruction limit
% 1.07/0.70 % (2430115)Termination phase: Saturation
% 1.07/0.70 % (2430115)Time elapsed: 0.114 s
% 1.07/0.70 % (2430115)Peak memory usage: 12 MB
% 1.07/0.70 % (2430115)Instructions burned: 116 (million)
% 1.07/0.70 % (2430125)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=758087135:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.07/0.70 % TRYING [1]
% 1.07/0.70 % TRYING [2]
% 1.07/0.70 % TRYING [3]
% 1.07/0.70 % (2430116)Instruction limit reached!
% 1.07/0.70 % (2430116)------------------------------
% 1.07/0.70 % (2430116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.70 % (2430116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.70 % (2430116)CaDiCaL version: 2.1.3
% 1.07/0.70 % (2430116)Termination reason: Instruction limit
% 1.07/0.70 % (2430116)Termination phase: Saturation
% 1.07/0.70 % (2430116)Time elapsed: 0.127 s
% 1.07/0.70 % (2430116)Peak memory usage: 12 MB
% 1.07/0.70 % (2430116)Instructions burned: 131 (million)
% 1.07/0.70 % TRYING [4]
% 1.07/0.70 % TRYING [5]
% 1.07/0.70 % (2430126)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1457084988:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.07/0.70 % (2430117)Instruction limit reached!
% 1.07/0.70 % (2430117)------------------------------
% 1.07/0.70 % (2430117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.70 % (2430117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.70 % (2430117)CaDiCaL version: 2.1.3
% 1.07/0.70 % (2430117)Termination reason: Instruction limit
% 1.07/0.70 % (2430117)Termination phase: Saturation
% 1.07/0.70 % (2430117)Time elapsed: 0.157 s
% 1.07/0.70 % (2430117)Peak memory usage: 12 MB
% 1.07/0.70 % (2430117)Instructions burned: 159 (million)
% 1.07/0.70 % (2430128)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=1705308555:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.07/0.70 % Finite Model Found!
% 1.07/0.70 % SZS status Satisfiable for theBenchmark
% 1.07/0.70 % (2430111) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2430106-2430111"...
% 1.07/0.70 % (2430111)...printing done.
% 1.07/0.70 % (2430131)ott-21_1_sil=16000:fs=off:random_seed=1478292600:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.07/0.70 % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.07/0.71 % (2430111)------------------------------
% 1.07/0.71 % (2430111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.71 % (2430111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.71 % (2430111)CaDiCaL version: 2.1.3
% 1.07/0.71 % (2430111)Termination reason: Satisfiable
% 1.07/0.71 % (2430111)Time elapsed: 0.189 s
% 1.07/0.71 % (2430111)Peak memory usage: 21 MB
% 1.07/0.71 % (2430111)Instructions burned: 285 (million)
% 1.07/0.71 % (2430106)Success in time 0.23 s
% 1.07/0.71 % Vampire exiting
%------------------------------------------------------------------------------