%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO061-1 : TPTP v9.3.1. Released v2.5.0.
% 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 09:36:16 AM UTC 2026
% Result : Satisfiable 3.66s 1.03s
% Output : FiniteModel 3.66s
% 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_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_3' ).
tff(declare_nand,type,
nand: ( $i * $i ) > $i ).
tff(function_nand,axiom,
( ( nand('fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( nand('fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
& ( nand('fmb_$i_1','fmb_$i_3') = 'fmb_$i_6' )
& ( nand('fmb_$i_1','fmb_$i_4') = 'fmb_$i_6' )
& ( nand('fmb_$i_1','fmb_$i_5') = 'fmb_$i_4' )
& ( nand('fmb_$i_1','fmb_$i_6') = 'fmb_$i_4' )
& ( nand('fmb_$i_2','fmb_$i_1') = 'fmb_$i_5' )
& ( nand('fmb_$i_2','fmb_$i_2') = 'fmb_$i_5' )
& ( nand('fmb_$i_2','fmb_$i_3') = 'fmb_$i_6' )
& ( nand('fmb_$i_2','fmb_$i_4') = 'fmb_$i_5' )
& ( nand('fmb_$i_2','fmb_$i_5') = 'fmb_$i_6' )
& ( nand('fmb_$i_2','fmb_$i_6') = 'fmb_$i_5' )
& ( nand('fmb_$i_3','fmb_$i_1') = 'fmb_$i_6' )
& ( nand('fmb_$i_3','fmb_$i_2') = 'fmb_$i_6' )
& ( nand('fmb_$i_3','fmb_$i_3') = 'fmb_$i_6' )
& ( nand('fmb_$i_3','fmb_$i_4') = 'fmb_$i_6' )
& ( nand('fmb_$i_3','fmb_$i_5') = 'fmb_$i_6' )
& ( nand('fmb_$i_3','fmb_$i_6') = 'fmb_$i_6' )
& ( nand('fmb_$i_4','fmb_$i_1') = 'fmb_$i_6' )
& ( nand('fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( nand('fmb_$i_4','fmb_$i_3') = 'fmb_$i_6' )
& ( nand('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( nand('fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( nand('fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( nand('fmb_$i_5','fmb_$i_1') = 'fmb_$i_2' )
& ( nand('fmb_$i_5','fmb_$i_2') = 'fmb_$i_6' )
& ( nand('fmb_$i_5','fmb_$i_3') = 'fmb_$i_6' )
& ( nand('fmb_$i_5','fmb_$i_4') = 'fmb_$i_2' )
& ( nand('fmb_$i_5','fmb_$i_5') = 'fmb_$i_2' )
& ( nand('fmb_$i_5','fmb_$i_6') = 'fmb_$i_2' )
& ( nand('fmb_$i_6','fmb_$i_1') = 'fmb_$i_4' )
& ( nand('fmb_$i_6','fmb_$i_2') = 'fmb_$i_5' )
& ( nand('fmb_$i_6','fmb_$i_3') = 'fmb_$i_6' )
& ( nand('fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( nand('fmb_$i_6','fmb_$i_5') = 'fmb_$i_2' )
& ( nand('fmb_$i_6','fmb_$i_6') = 'fmb_$i_3' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO061-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.28 % Computer : n017.cluster.edu
% 0.12/0.28 % Model : x86_64 x86_64
% 0.12/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.28 % Memory : 8046.5625MB
% 0.12/0.28 % OS : Linux 6.8.0-71-generic
% 0.12/0.28 % CPULimit : 300
% 0.12/0.28 % WCLimit : 300
% 0.12/0.28 % DateTime : Mon Sep 28 21:03:25 UTC 2026
% 0.12/0.29 % CPUTime :
% 0.12/0.29 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.28/0.34 Running first-order model finding
% 0.28/0.34 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
% 3.66/1.03 % (4029086)Will run a generic schedule for satisfiability detection.
% 3.66/1.03 % (4029091)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1380619342_2999 on theBenchmark for (2999ds/0Mi)
% 3.66/1.03 % TRYING [1]
% 3.66/1.03 % TRYING [2]
% 3.66/1.03 % TRYING [3]
% 3.66/1.03 % TRYING [4]
% 3.66/1.03 % (4029092)% WARNING: option uhcvi not known.
% 3.66/1.03 % (4029095)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=35020900:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.66/1.03 % (4029093)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=245412564:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.66/1.03 % (4029094)dis+10_1_sil=32000:sp=arity:random_seed=3551148069:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.66/1.03 % (4029092)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2545106159:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.66/1.03 % (4029096)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2731884298:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.66/1.03 % (4029097)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=783220407:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.66/1.03 % TRYING [5]
% 3.66/1.03 % (4029094)Instruction limit reached!
% 3.66/1.03 % (4029094)------------------------------
% 3.66/1.03 % (4029094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.66/1.03 % (4029094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.03 % (4029094)CaDiCaL version: 2.1.3
% 3.66/1.03 % (4029094)Termination reason: Instruction limit
% 3.66/1.03 % (4029094)Termination phase: Saturation
% 3.66/1.03 % (4029094)Time elapsed: 0.098 s
% 3.66/1.03 % (4029094)Peak memory usage: 11 MB
% 3.66/1.03 % (4029094)Instructions burned: 104 (million)
% 3.66/1.03 % (4029095)Instruction limit reached!
% 3.66/1.03 % (4029095)------------------------------
% 3.66/1.03 % (4029095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.66/1.03 % (4029095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.03 % (4029095)CaDiCaL version: 2.1.3
% 3.66/1.03 % (4029095)Termination reason: Instruction limit
% 3.66/1.03 % (4029095)Termination phase: Saturation
% 3.66/1.03 % (4029095)Time elapsed: 0.107 s
% 3.66/1.03 % (4029095)Peak memory usage: 12 MB
% 3.66/1.03 % (4029095)Instructions burned: 116 (million)
% 3.66/1.03 % (4029096)Instruction limit reached!
% 3.66/1.03 % (4029096)------------------------------
% 3.66/1.03 % (4029096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.66/1.03 % (4029096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.03 % (4029096)CaDiCaL version: 2.1.3
% 3.66/1.03 % (4029096)Termination reason: Instruction limit
% 3.66/1.03 % (4029096)Termination phase: Saturation
% 3.66/1.03 % (4029096)Time elapsed: 0.123 s
% 3.66/1.03 % (4029096)Peak memory usage: 13 MB
% 3.66/1.03 % (4029096)Instructions burned: 131 (million)
% 3.66/1.03 % (4029105)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3643451796:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.66/1.03 % TRYING [1]
% 3.66/1.03 % TRYING [2]
% 3.66/1.03 % TRYING [3]
% 3.66/1.03 % (4029106)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2723305701:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.66/1.03 % TRYING [4]
% 3.66/1.03 % (4029097)Instruction limit reached!
% 3.66/1.03 % (4029097)------------------------------
% 3.66/1.03 % (4029097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.66/1.03 % (4029097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.03 % (4029097)CaDiCaL version: 2.1.3
% 3.66/1.03 % (4029097)Termination reason: Instruction limit
% 3.66/1.03 % (4029097)Termination phase: Saturation
% 3.66/1.03 % (4029097)Time elapsed: 0.150 s
% 3.66/1.03 % (4029097)Peak memory usage: 12 MB
% 3.66/1.03 % (4029097)Instructions burned: 159 (million)
% 3.66/1.03 % TRYING [6]
% 3.66/1.03 % (4029107)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=277091404:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.66/1.03 % (4029110)ott-21_1_sil=16000:fs=off:random_seed=2977248547:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.66/1.03 % TRYING [5]
% 3.66/1.03 % (4029106)Instruction limit reached!
% 3.66/1.03 % (4029106)------------------------------
% 3.66/1.03 % (4029106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.66/1.03 % (4029106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.03 % (4029106)CaDiCaL version: 2.1.3
% 3.66/1.03 % (4029106)Termination reason: Instruction limit
% 3.66/1.03 % (4029106)Termination phase: Saturation
% 3.66/1.03 % (4029106)Time elapsed: 0.126 s
% 3.66/1.03 % (4029106)Peak memory usage: 13 MB
% 3.66/1.03 % (4029106)Instructions burned: 132 (million)
% 3.66/1.03 % (4029113)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2262814883:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 3.66/1.03 % (4029110)Instruction limit reached!
% 3.66/1.03 % (4029110)------------------------------
% 3.66/1.03 % (4029110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.66/1.03 % (4029110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.03 % (4029110)CaDiCaL version: 2.1.3
% 3.66/1.03 % (4029110)Termination reason: Instruction limit
% 3.66/1.03 % (4029110)Termination phase: Saturation
% 3.66/1.03 % (4029110)Time elapsed: 0.159 s
% 3.66/1.03 % (4029110)Peak memory usage: 11 MB
% 3.66/1.03 % (4029110)Instructions burned: 181 (million)
% 3.66/1.03 % (4029115)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4061889937:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 3.66/1.03 % TRYING [1]
% 3.66/1.03 % TRYING [2]
% 3.66/1.03 % TRYING [3]
% 3.66/1.03 % TRYING [4]
% 3.66/1.03 % TRYING [5]
% 3.66/1.03 % TRYING [6]
% 3.66/1.03 % Finite Model Found!
% 3.66/1.03 % SZS status Satisfiable for theBenchmark
% 3.66/1.03 % (4029091) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4029086-4029091"...
% 3.66/1.03 % (4029091)...printing done.
% 3.66/1.03 % SZS output start FiniteModel for theBenchmark
% See solution above
% 3.66/1.03 % (4029091)------------------------------
% 3.66/1.03 % (4029091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.66/1.03 % (4029091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.03 % (4029091)CaDiCaL version: 2.1.3
% 3.66/1.03 % (4029091)Termination reason: Satisfiable
% 3.66/1.03 % (4029091)Time elapsed: 0.639 s
% 3.66/1.03 % (4029091)Peak memory usage: 13 MB
% 3.66/1.03 % (4029091)Instructions burned: 1403 (million)
% 3.66/1.03 % (4029086)Success in time 0.672 s
% 3.66/1.03 % Vampire exiting
%------------------------------------------------------------------------------