%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO056-1 : 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 : n007.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 3.21s 0.86s
% Output : FiniteModel 3.21s
% 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_1' ).
tff(declare_c,type,
c: $i ).
tff(c_definition,axiom,
c = 'fmb_$i_2' ).
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_4' )
& ( nand('fmb_$i_1','fmb_$i_4') = 'fmb_$i_2' )
& ( nand('fmb_$i_1','fmb_$i_5') = 'fmb_$i_3' )
& ( nand('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( nand('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( nand('fmb_$i_2','fmb_$i_3') = 'fmb_$i_5' )
& ( nand('fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( nand('fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( nand('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
& ( 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_$i_5' )
& ( nand('fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( nand('fmb_$i_4','fmb_$i_1') = 'fmb_$i_5' )
& ( nand('fmb_$i_4','fmb_$i_2') = 'fmb_$i_3' )
& ( nand('fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( nand('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( nand('fmb_$i_4','fmb_$i_5') = 'fmb_$i_2' )
& ( nand('fmb_$i_5','fmb_$i_1') = 'fmb_$i_4' )
& ( nand('fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( nand('fmb_$i_5','fmb_$i_3') = 'fmb_$i_2' )
& ( nand('fmb_$i_5','fmb_$i_4') = 'fmb_$i_3' )
& ( nand('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO056-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n007.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 21:04:10 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.30 Running first-order model finding
% 0.23/0.30 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
% 3.21/0.86 % (2825289)Will run a generic schedule for satisfiability detection.
% 3.21/0.86 % (2825295)% WARNING: option uhcvi not known.
% 3.21/0.86 % (2825298)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1638007493:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 3.21/0.86 % (2825295)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=223288278:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 3.21/0.86 % (2825294)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2390054890_3000 on theBenchmark for (3000ds/0Mi)
% 3.21/0.86 % (2825296)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=97092706:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 3.21/0.86 % (2825297)dis+10_1_sil=32000:sp=arity:random_seed=3302876774:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 3.21/0.86 % TRYING [1]
% 3.21/0.86 % TRYING [2]
% 3.21/0.86 % (2825299)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1111505890:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 3.21/0.86 % TRYING [3]
% 3.21/0.86 % (2825300)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=238920726:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 3.21/0.86 % TRYING [4]
% 3.21/0.86 % (2825298)Instruction limit reached!
% 3.21/0.86 % (2825298)------------------------------
% 3.21/0.86 % (2825298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.86 % (2825298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.86 % (2825298)CaDiCaL version: 2.1.3
% 3.21/0.86 % (2825298)Termination reason: Instruction limit
% 3.21/0.86 % (2825298)Termination phase: Saturation
% 3.21/0.86 % (2825298)Time elapsed: 0.046 s
% 3.21/0.86 % (2825298)Peak memory usage: 13 MB
% 3.21/0.86 % (2825298)Instructions burned: 116 (million)
% 3.21/0.86 % (2825309)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=366996418:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.21/0.86 % TRYING [1]
% 3.21/0.86 % TRYING [2]
% 3.21/0.86 % TRYING [3]
% 3.21/0.86 % TRYING [4]
% 3.21/0.86 % (2825297)Instruction limit reached!
% 3.21/0.86 % (2825297)------------------------------
% 3.21/0.86 % (2825297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.86 % (2825297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.86 % (2825297)CaDiCaL version: 2.1.3
% 3.21/0.86 % (2825297)Termination reason: Instruction limit
% 3.21/0.86 % (2825297)Termination phase: Saturation
% 3.21/0.86 % (2825297)Time elapsed: 0.088 s
% 3.21/0.86 % (2825297)Peak memory usage: 12 MB
% 3.21/0.86 % (2825297)Instructions burned: 103 (million)
% 3.21/0.86 % TRYING [5]
% 3.21/0.86 % (2825311)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2289173394:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.21/0.86 % (2825299)Instruction limit reached!
% 3.21/0.86 % (2825299)------------------------------
% 3.21/0.86 % (2825299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.86 % (2825299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.86 % (2825299)CaDiCaL version: 2.1.3
% 3.21/0.86 % (2825299)Termination reason: Instruction limit
% 3.21/0.86 % (2825299)Termination phase: Saturation
% 3.21/0.86 % (2825299)Time elapsed: 0.130 s
% 3.21/0.86 % (2825299)Peak memory usage: 13 MB
% 3.21/0.86 % (2825299)Instructions burned: 131 (million)
% 3.21/0.86 % TRYING [5]
% 3.21/0.86 % (2825300)Instruction limit reached!
% 3.21/0.86 % (2825300)------------------------------
% 3.21/0.86 % (2825300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.86 % (2825300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.86 % (2825300)CaDiCaL version: 2.1.3
% 3.21/0.86 % (2825300)Termination reason: Instruction limit
% 3.21/0.86 % (2825300)Termination phase: Saturation
% 3.21/0.86 % (2825300)Time elapsed: 0.157 s
% 3.21/0.86 % (2825300)Peak memory usage: 13 MB
% 3.21/0.86 % (2825300)Instructions burned: 159 (million)
% 3.21/0.86 % (2825313)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=723500038:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.21/0.86 % (2825314)ott-21_1_sil=16000:fs=off:random_seed=2850979722:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.21/0.86 % (2825311)Instruction limit reached!
% 3.21/0.86 % (2825311)------------------------------
% 3.21/0.86 % (2825311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.86 % (2825311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.86 % (2825311)CaDiCaL version: 2.1.3
% 3.21/0.86 % (2825311)Termination reason: Instruction limit
% 3.21/0.86 % (2825311)Termination phase: Saturation
% 3.21/0.86 % (2825311)Time elapsed: 0.109 s
% 3.21/0.86 % (2825311)Peak memory usage: 13 MB
% 3.21/0.86 % (2825311)Instructions burned: 131 (million)
% 3.21/0.86 % (2825318)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1750486583:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.21/0.86 % (2825314)Instruction limit reached!
% 3.21/0.86 % (2825314)------------------------------
% 3.21/0.86 % (2825314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.86 % (2825314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.86 % (2825314)CaDiCaL version: 2.1.3
% 3.21/0.86 % (2825314)Termination reason: Instruction limit
% 3.21/0.86 % (2825314)Termination phase: Saturation
% 3.21/0.86 % (2825314)Time elapsed: 0.148 s
% 3.21/0.86 % (2825314)Peak memory usage: 12 MB
% 3.21/0.86 % (2825314)Instructions burned: 181 (million)
% 3.21/0.86 % (2825309)Instruction limit reached!
% 3.21/0.86 % (2825309)------------------------------
% 3.21/0.86 % (2825309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.86 % (2825309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.86 % (2825309)CaDiCaL version: 2.1.3
% 3.21/0.86 % (2825309)Termination reason: Instruction limit
% 3.21/0.86 % (2825309)Termination phase: Finite model building SAT solving
% 3.21/0.86 % (2825309)Time elapsed: 0.317 s
% 3.21/0.86 % (2825309)Peak memory usage: 14 MB
% 3.21/0.86 % (2825309)Instructions burned: 719 (million)
% 3.21/0.86 % (2825321)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3243744256:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 3.21/0.86 % TRYING [1]
% 3.21/0.86 % TRYING [2]
% 3.21/0.86 % TRYING [3]
% 3.21/0.86 % (2825323)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=516719962:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 3.21/0.86 % TRYING [4]
% 3.21/0.86 % TRYING [5]
% 3.21/0.86 % Finite Model Found!
% 3.21/0.86 % SZS status Satisfiable for theBenchmark
% 3.21/0.86 % (2825321) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2825289-2825321"...
% 3.21/0.86 % (2825321)...printing done.
% 3.21/0.86 % SZS output start FiniteModel for theBenchmark
% See solution above
% 3.21/0.86 % (2825321)------------------------------
% 3.21/0.86 % (2825321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.86 % (2825321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.86 % (2825321)CaDiCaL version: 2.1.3
% 3.21/0.86 % (2825321)Termination reason: Satisfiable
% 3.21/0.86 % (2825321)Time elapsed: 0.133 s
% 3.21/0.86 % (2825321)Peak memory usage: 11 MB
% 3.21/0.86 % (2825321)Instructions burned: 174 (million)
% 3.21/0.86 % (2825289)Success in time 0.541 s
% 3.21/0.86 % Vampire exiting
%------------------------------------------------------------------------------