%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO056-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:36:15 AM UTC 2026
% Result : Satisfiable 4.00s 0.97s
% 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_a,type,
a: $i ).
tff(a_definition,axiom,
a = 'fmb_$i_1' ).
tff(declare_b,type,
b: $i ).
tff(b_definition,axiom,
b = 'fmb_$i_2' ).
tff(declare_c,type,
c: $i ).
tff(c_definition,axiom,
c = 'fmb_$i_1' ).
tff(declare_nand,type,
nand: ( $i * $i ) > $i ).
tff(function_nand,axiom,
( ( nand('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( nand('fmb_$i_1','fmb_$i_2') = 'fmb_$i_5' )
& ( nand('fmb_$i_1','fmb_$i_3') = 'fmb_$i_2' )
& ( nand('fmb_$i_1','fmb_$i_4') = 'fmb_$i_3' )
& ( nand('fmb_$i_1','fmb_$i_5') = 'fmb_$i_4' )
& ( nand('fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
& ( nand('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( nand('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( nand('fmb_$i_2','fmb_$i_4') = 'fmb_$i_5' )
& ( nand('fmb_$i_2','fmb_$i_5') = 'fmb_$i_3' )
& ( nand('fmb_$i_3','fmb_$i_1') = 'fmb_$i_5' )
& ( nand('fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( nand('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' )
& ( nand('fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( nand('fmb_$i_3','fmb_$i_5') = 'fmb_$i_2' )
& ( nand('fmb_$i_4','fmb_$i_1') = 'fmb_$i_2' )
& ( nand('fmb_$i_4','fmb_$i_2') = 'fmb_$i_3' )
& ( nand('fmb_$i_4','fmb_$i_3') = 'fmb_$i_5' )
& ( nand('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( nand('fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( nand('fmb_$i_5','fmb_$i_1') = 'fmb_$i_3' )
& ( nand('fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( nand('fmb_$i_5','fmb_$i_3') = 'fmb_$i_4' )
& ( nand('fmb_$i_5','fmb_$i_4') = 'fmb_$i_2' )
& ( nand('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).
tff(declare_tuple,type,
tuple: ( $i * $i ) > $i ).
tff(function_tuple,axiom,
( ( tuple('fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( tuple('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( tuple('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( tuple('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( tuple('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( tuple('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( tuple('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( tuple('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( tuple('fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( tuple('fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( tuple('fmb_$i_3','fmb_$i_1') = 'fmb_$i_5' )
& ( tuple('fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( tuple('fmb_$i_3','fmb_$i_3') = 'fmb_$i_5' )
& ( tuple('fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( tuple('fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( tuple('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( tuple('fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( tuple('fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( tuple('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( tuple('fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( tuple('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( tuple('fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( tuple('fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( tuple('fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( tuple('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO056-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n010.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 21:06:32 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27 Running first-order model finding
% 0.09/0.27 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
% 4.00/0.97 % (2338782)Will run a generic schedule for satisfiability detection.
% 4.00/0.97 % (2338788)% WARNING: option uhcvi not known.
% 4.00/0.97 % (2338788)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2493071319:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.00/0.97 % (2338787)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2279201344_2999 on theBenchmark for (2999ds/0Mi)
% 4.00/0.97 % TRYING [1]
% 4.00/0.97 % TRYING [2]
% 4.00/0.97 % TRYING [3]
% 4.00/0.97 % TRYING [4]
% 4.00/0.97 % (2338792)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1224215838:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.00/0.97 % (2338790)dis+10_1_sil=32000:sp=arity:random_seed=1460534276:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.00/0.97 % (2338789)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1044631797:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.00/0.97 % (2338791)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2753124364:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.00/0.97 % (2338793)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=162247971:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.00/0.97 % (2338790)Instruction limit reached!
% 4.00/0.97 % (2338790)------------------------------
% 4.00/0.97 % (2338790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (2338790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (2338790)CaDiCaL version: 2.1.3
% 4.00/0.97 % (2338790)Termination reason: Instruction limit
% 4.00/0.97 % (2338790)Termination phase: Saturation
% 4.00/0.97 % (2338790)Time elapsed: 0.092 s
% 4.00/0.97 % (2338790)Peak memory usage: 12 MB
% 4.00/0.97 % (2338790)Instructions burned: 103 (million)
% 4.00/0.97 % (2338801)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=662980646:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.00/0.97 % (2338791)Instruction limit reached!
% 4.00/0.97 % (2338791)------------------------------
% 4.00/0.97 % (2338791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (2338791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (2338791)CaDiCaL version: 2.1.3
% 4.00/0.97 % (2338791)Termination reason: Instruction limit
% 4.00/0.97 % (2338791)Termination phase: Saturation
% 4.00/0.97 % (2338791)Time elapsed: 0.114 s
% 4.00/0.97 % (2338791)Peak memory usage: 13 MB
% 4.00/0.97 % (2338791)Instructions burned: 117 (million)
% 4.00/0.97 % TRYING [1]
% 4.00/0.97 % TRYING [2]
% 4.00/0.97 % TRYING [3]
% 4.00/0.97 % (2338792)Instruction limit reached!
% 4.00/0.97 % (2338792)------------------------------
% 4.00/0.97 % (2338792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (2338792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (2338792)CaDiCaL version: 2.1.3
% 4.00/0.97 % (2338792)Termination reason: Instruction limit
% 4.00/0.97 % (2338792)Termination phase: Saturation
% 4.00/0.97 % (2338792)Time elapsed: 0.126 s
% 4.00/0.97 % (2338792)Peak memory usage: 13 MB
% 4.00/0.97 % (2338792)Instructions burned: 131 (million)
% 4.00/0.97 % TRYING [4]
% 4.00/0.97 % (2338803)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3926237692:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.00/0.97 % (2338793)Instruction limit reached!
% 4.00/0.97 % (2338793)------------------------------
% 4.00/0.97 % (2338793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (2338793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (2338793)CaDiCaL version: 2.1.3
% 4.00/0.97 % (2338793)Termination reason: Instruction limit
% 4.00/0.97 % (2338793)Termination phase: Saturation
% 4.00/0.97 % (2338793)Time elapsed: 0.155 s
% 4.00/0.97 % (2338793)Peak memory usage: 13 MB
% 4.00/0.97 % (2338793)Instructions burned: 159 (million)
% 4.00/0.97 % (2338804)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=3499943770:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.00/0.97 % TRYING [5]
% 4.00/0.97 % (2338806)ott-21_1_sil=16000:fs=off:random_seed=3349599889:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.00/0.97 % (2338803)Instruction limit reached!
% 4.00/0.97 % (2338803)------------------------------
% 4.00/0.97 % (2338803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (2338803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (2338803)CaDiCaL version: 2.1.3
% 4.00/0.97 % (2338803)Termination reason: Instruction limit
% 4.00/0.97 % (2338803)Termination phase: Saturation
% 4.00/0.97 % (2338803)Time elapsed: 0.130 s
% 4.00/0.97 % (2338803)Peak memory usage: 13 MB
% 4.00/0.97 % (2338803)Instructions burned: 132 (million)
% 4.00/0.97 % TRYING [5]
% 4.00/0.97 % (2338809)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=198501496:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 4.00/0.97 % (2338806)Instruction limit reached!
% 4.00/0.97 % (2338806)------------------------------
% 4.00/0.97 % (2338806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (2338806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (2338806)CaDiCaL version: 2.1.3
% 4.00/0.97 % (2338806)Termination reason: Instruction limit
% 4.00/0.97 % (2338806)Termination phase: Saturation
% 4.00/0.97 % (2338806)Time elapsed: 0.164 s
% 4.00/0.97 % (2338806)Peak memory usage: 12 MB
% 4.00/0.97 % (2338806)Instructions burned: 180 (million)
% 4.00/0.97 % (2338811)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2467874898:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 4.00/0.97 % TRYING [1]
% 4.00/0.97 % TRYING [2]
% 4.00/0.97 % TRYING [3]
% 4.00/0.97 % TRYING [4]
% 4.00/0.97 % TRYING [5]
% 4.00/0.97 % Finite Model Found!
% 4.00/0.97 % SZS status Satisfiable for theBenchmark
% 4.00/0.97 % (2338801) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2338782-2338801"...
% 4.00/0.97 % (2338801)...printing done.
% 4.00/0.97 % SZS output start FiniteModel for theBenchmark
% See solution above
% 4.00/0.97 % (2338801)------------------------------
% 4.00/0.97 % (2338801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.00/0.97 % (2338801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/0.97 % (2338801)CaDiCaL version: 2.1.3
% 4.00/0.97 % (2338801)Termination reason: Satisfiable
% 4.00/0.97 % (2338801)Time elapsed: 0.523 s
% 4.00/0.97 % (2338801)Peak memory usage: 14 MB
% 4.00/0.97 % (2338801)Instructions burned: 562 (million)
% 4.00/0.97 % (2338782)Success in time 0.681 s
% 4.00/0.97 % Vampire exiting
%------------------------------------------------------------------------------