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Vampire-SAT---5.0.1.SAT-FMo.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW404-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.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 01:39:57 PM UTC 2026

% Result   : Satisfiable 1.10s 0.42s
% Output   : FiniteModel 1.10s
% 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_nil,type,
    nil: $i ).

tff(nil_definition,axiom,
    nil = 'fmb_$i_1' ).

tff(declare_x1,type,
    x1: $i ).

tff(x1_definition,axiom,
    x1 = 'fmb_$i_2' ).

tff(declare_x2,type,
    x2: $i ).

tff(x2_definition,axiom,
    x2 = 'fmb_$i_3' ).

tff(declare_x3,type,
    x3: $i ).

tff(x3_definition,axiom,
    x3 = 'fmb_$i_3' ).

tff(declare_emp,type,
    emp: $i ).

tff(emp_definition,axiom,
    emp = 'fmb_$i_1' ).

tff(declare_x4,type,
    x4: $i ).

tff(x4_definition,axiom,
    x4 = 'fmb_$i_3' ).

tff(declare_sep,type,
    sep: ( $i * $i ) > $i ).

tff(function_sep,axiom,
    ( ( sep('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( sep('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( sep('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
    & ( sep('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
    & ( sep('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
    & ( sep('fmb_$i_2','fmb_$i_1') = 'fmb_$i_5' )
    & ( sep('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' )
    & ( sep('fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
    & ( sep('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
    & ( sep('fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
    & ( sep('fmb_$i_3','fmb_$i_1') = 'fmb_$i_2' )
    & ( sep('fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
    & ( sep('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
    & ( sep('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
    & ( sep('fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
    & ( sep('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
    & ( sep('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
    & ( sep('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
    & ( sep('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
    & ( sep('fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
    & ( sep('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
    & ( sep('fmb_$i_5','fmb_$i_2') = 'fmb_$i_3' )
    & ( sep('fmb_$i_5','fmb_$i_3') = 'fmb_$i_4' )
    & ( sep('fmb_$i_5','fmb_$i_4') = 'fmb_$i_4' )
    & ( sep('fmb_$i_5','fmb_$i_5') = 'fmb_$i_4' ) ) ).

tff(declare_lseg,type,
    lseg: ( $i * $i ) > $i ).

tff(function_lseg,axiom,
    ( ( lseg('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( lseg('fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
    & ( lseg('fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
    & ( lseg('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
    & ( lseg('fmb_$i_1','fmb_$i_5') = 'fmb_$i_4' )
    & ( lseg('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( lseg('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
    & ( lseg('fmb_$i_2','fmb_$i_3') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_2','fmb_$i_4') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_2','fmb_$i_5') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
    & ( lseg('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
    & ( lseg('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
    & ( lseg('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
    & ( lseg('fmb_$i_3','fmb_$i_5') = 'fmb_$i_3' )
    & ( lseg('fmb_$i_4','fmb_$i_1') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_4','fmb_$i_2') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_4','fmb_$i_3') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
    & ( lseg('fmb_$i_4','fmb_$i_5') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
    & ( lseg('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' ) ) ).

tff(declare_next,type,
    next: ( $i * $i ) > $i ).

tff(function_next,axiom,
    ( ( next('fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
    & ( next('fmb_$i_1','fmb_$i_2') = 'fmb_$i_4' )
    & ( next('fmb_$i_1','fmb_$i_3') = 'fmb_$i_4' )
    & ( next('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
    & ( next('fmb_$i_1','fmb_$i_5') = 'fmb_$i_4' )
    & ( next('fmb_$i_2','fmb_$i_1') = 'fmb_$i_4' )
    & ( next('fmb_$i_2','fmb_$i_2') = 'fmb_$i_5' )
    & ( next('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
    & ( next('fmb_$i_2','fmb_$i_4') = 'fmb_$i_5' )
    & ( next('fmb_$i_2','fmb_$i_5') = 'fmb_$i_5' )
    & ( next('fmb_$i_3','fmb_$i_1') = 'fmb_$i_4' )
    & ( next('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
    & ( next('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
    & ( next('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
    & ( next('fmb_$i_3','fmb_$i_5') = 'fmb_$i_4' )
    & ( next('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
    & ( next('fmb_$i_4','fmb_$i_2') = 'fmb_$i_5' )
    & ( next('fmb_$i_4','fmb_$i_3') = 'fmb_$i_5' )
    & ( next('fmb_$i_4','fmb_$i_4') = 'fmb_$i_5' )
    & ( next('fmb_$i_4','fmb_$i_5') = 'fmb_$i_5' )
    & ( next('fmb_$i_5','fmb_$i_1') = 'fmb_$i_4' )
    & ( next('fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
    & ( next('fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
    & ( next('fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
    & ( next('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' ) ) ).

tff(declare_heap,type,
    heap: $i > $o ).

tff(predicate_heap,axiom,
    ( heap('fmb_$i_1')
    & heap('fmb_$i_2')
    & heap('fmb_$i_3')
    & ~ heap('fmb_$i_4')
    & heap('fmb_$i_5') ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW404-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n018.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 13:51:55 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  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
% 1.10/0.42  % (3393790)Will run a generic schedule for satisfiability detection.
% 1.10/0.42  % (3393797)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=458618970:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.10/0.42  % (3393796)% WARNING: option uhcvi not known.
% 1.10/0.42  % (3393795)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3098849262_2999 on theBenchmark for (2999ds/0Mi)
% 1.10/0.42  % (3393796)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=537148471:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.10/0.42  % (3393798)dis+10_1_sil=32000:sp=arity:random_seed=4136317242:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.10/0.42  % (3393799)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3752099162:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.10/0.42  % (3393801)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1403080451:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.10/0.42  % (3393800)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2095670327:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.10/0.42  % Detected minimum model sizes of [3]
% 1.10/0.42  % Detected maximum model sizes of [max]
% 1.10/0.42  % TRYING [3]
% 1.10/0.42  % TRYING [4]
% 1.10/0.42  % TRYING [5]
% 1.10/0.42  % (3393798)Instruction limit reached! 
% 1.10/0.42  % (3393798)------------------------------
% 1.10/0.42  % (3393798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.42  % (3393798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.42  % (3393798)CaDiCaL version: 2.1.3
% 1.10/0.42  % (3393798)Termination reason: Instruction limit
% 1.10/0.42  % (3393798)Termination phase: Saturation
% 1.10/0.42  % (3393798)Time elapsed: 0.061 s
% 1.10/0.42  % (3393798)Peak memory usage: 12 MB
% 1.10/0.42  % (3393798)Instructions burned: 103 (million)
% 1.10/0.42  % (3393799)Instruction limit reached! 
% 1.10/0.42  % (3393799)------------------------------
% 1.10/0.42  % (3393799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.42  % (3393799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.42  % (3393799)CaDiCaL version: 2.1.3
% 1.10/0.42  % (3393799)Termination reason: Instruction limit
% 1.10/0.42  % (3393799)Termination phase: Saturation
% 1.10/0.42  % (3393799)Time elapsed: 0.066 s
% 1.10/0.42  % (3393799)Peak memory usage: 12 MB
% 1.10/0.42  % (3393799)Instructions burned: 118 (million)
% 1.10/0.42  % (3393800)Instruction limit reached! 
% 1.10/0.42  % (3393800)------------------------------
% 1.10/0.42  % (3393800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.42  % (3393800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.42  % (3393800)CaDiCaL version: 2.1.3
% 1.10/0.42  % (3393800)Termination reason: Instruction limit
% 1.10/0.42  % (3393800)Termination phase: Saturation
% 1.10/0.42  % (3393800)Time elapsed: 0.074 s
% 1.10/0.42  % (3393800)Peak memory usage: 12 MB
% 1.10/0.42  % (3393800)Instructions burned: 132 (million)
% 1.10/0.42  % (3393809)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3000221384:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.10/0.42  % (3393810)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2089987240:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.10/0.42  % Detected minimum model sizes of [3]
% 1.10/0.42  % Detected maximum model sizes of [max]
% 1.10/0.42  % TRYING [3]
% 1.10/0.42  % (3393801)Instruction limit reached! 
% 1.10/0.42  % (3393801)------------------------------
% 1.10/0.42  % (3393801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.42  % (3393801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.42  % (3393801)CaDiCaL version: 2.1.3
% 1.10/0.42  % (3393801)Termination reason: Instruction limit
% 1.10/0.42  % (3393801)Termination phase: Saturation
% 1.10/0.42  % (3393801)Time elapsed: 0.088 s
% 1.10/0.42  % (3393801)Peak memory usage: 13 MB
% 1.10/0.42  % (3393801)Instructions burned: 160 (million)
% 1.10/0.42  % (3393811)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=2253596879:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.10/0.42  % (3393814)ott-21_1_sil=16000:fs=off:random_seed=2993602633:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.10/0.42  % TRYING [4]
% 1.10/0.42  % Finite Model Found!
% 1.10/0.42  % SZS status Satisfiable for theBenchmark
% 1.10/0.42  % (3393795) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3393790-3393795"...
% 1.10/0.42  % (3393795)...printing done.
% 1.10/0.42  % SZS output start FiniteModel for theBenchmark
% See solution above
% 1.10/0.42  % (3393795)------------------------------
% 1.10/0.42  % (3393795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.42  % (3393795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.42  % (3393795)CaDiCaL version: 2.1.3
% 1.10/0.42  % (3393795)Termination reason: Satisfiable
% 1.10/0.42  % (3393795)Time elapsed: 0.154 s
% 1.10/0.42  % (3393795)Peak memory usage: 24 MB
% 1.10/0.42  % (3393795)Instructions burned: 355 (million)
% 1.10/0.42  % (3393790)Success in time 0.195 s
% 1.10/0.42  % Vampire exiting
%------------------------------------------------------------------------------