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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW435-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n019.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 01:40:01 PM UTC 2026

% Result   : Satisfiable 0.25s 0.30s
% Output   : FiniteModel 0.25s
% 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('finite_domain_$i',axiom,
    ! [X: $i] :
      ( ( X = 'fmb_$i_1' )
      | ( X = 'fmb_$i_2' )
      | ( X = 'fmb_$i_3' ) ) ).

tff('distinct_domain_$i',axiom,
    ( ( 'fmb_$i_1' != 'fmb_$i_2' )
    & ( 'fmb_$i_1' != 'fmb_$i_3' )
    & ( 'fmb_$i_2' != 'fmb_$i_3' ) ) ).

tff(declare_nil,type,
    nil: $i ).

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

tff(declare_x6,type,
    x6: $i ).

tff(x6_definition,axiom,
    x6 = 'fmb_$i_1' ).

tff(declare_x11,type,
    x11: $i ).

tff(x11_definition,axiom,
    x11 = 'fmb_$i_2' ).

tff(declare_x14,type,
    x14: $i ).

tff(x14_definition,axiom,
    x14 = 'fmb_$i_3' ).

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

tff(x3_definition,axiom,
    x3 = 'fmb_$i_1' ).

tff(declare_x8,type,
    x8: $i ).

tff(x8_definition,axiom,
    x8 = 'fmb_$i_3' ).

tff(declare_x7,type,
    x7: $i ).

tff(x7_definition,axiom,
    x7 = 'fmb_$i_2' ).

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

tff(x2_definition,axiom,
    x2 = 'fmb_$i_2' ).

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

tff(x1_definition,axiom,
    x1 = 'fmb_$i_3' ).

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

tff(x4_definition,axiom,
    x4 = 'fmb_$i_1' ).

tff(declare_x13,type,
    x13: $i ).

tff(x13_definition,axiom,
    x13 = 'fmb_$i_3' ).

tff(declare_x10,type,
    x10: $i ).

tff(x10_definition,axiom,
    x10 = 'fmb_$i_3' ).

tff(declare_x5,type,
    x5: $i ).

tff(x5_definition,axiom,
    x5 = 'fmb_$i_2' ).

tff(declare_x12,type,
    x12: $i ).

tff(x12_definition,axiom,
    x12 = 'fmb_$i_1' ).

tff(declare_x15,type,
    x15: $i ).

tff(x15_definition,axiom,
    x15 = 'fmb_$i_3' ).

tff(declare_x9,type,
    x9: $i ).

tff(x9_definition,axiom,
    x9 = 'fmb_$i_2' ).

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

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

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

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

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

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

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

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

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

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


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW435-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n019.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 13:54:48 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  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
% 0.25/0.30  % (4013009)Will run a generic schedule for satisfiability detection.
% 0.25/0.30  % (4013018)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3942020554:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.30  % (4013015)% WARNING: option uhcvi not known.
% 0.25/0.30  % (4013014)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1795210356_2999 on theBenchmark for (2999ds/0Mi)
% 0.25/0.30  % (4013015)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1935580737:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.25/0.30  % (4013016)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=444930190:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.25/0.30  % (4013019)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=267064908:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.25/0.30  % (4013017)dis+10_1_sil=32000:sp=arity:random_seed=1753205928:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.25/0.30  % (4013020)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=750768575:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.25/0.30  % TRYING [1]
% 0.25/0.30  % TRYING [2]
% 0.25/0.30  % TRYING [3]
% 0.25/0.30  % (4013018)Instruction limit reached! 
% 0.25/0.30  % (4013018)------------------------------
% 0.25/0.30  % (4013018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.30  % (4013018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.30  % (4013018)CaDiCaL version: 2.1.3
% 0.25/0.30  % (4013018)Termination reason: Instruction limit
% 0.25/0.30  % (4013018)Termination phase: Saturation
% 0.25/0.30  % (4013018)Time elapsed: 0.031 s
% 0.25/0.30  % (4013018)Peak memory usage: 12 MB
% 0.25/0.30  % (4013018)Instructions burned: 118 (million)
% 0.25/0.30  % (4013028)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1190469098:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.25/0.30  % TRYING [1]
% 0.25/0.30  % TRYING [2]
% 0.25/0.30  % TRYING [3]
% 0.25/0.30  % Finite Model Found!
% 0.25/0.30  % SZS status Satisfiable for theBenchmark
% 0.25/0.30  % (4013028) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4013009-4013028"...
% 0.25/0.30  % (4013028)...printing done.
% 0.25/0.30  % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.25/0.30  % (4013028)------------------------------
% 0.25/0.30  % (4013028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.30  % (4013028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.30  % (4013028)CaDiCaL version: 2.1.3
% 0.25/0.30  % (4013028)Termination reason: Satisfiable
% 0.25/0.30  % (4013028)Time elapsed: 0.014 s
% 0.25/0.30  % (4013028)Peak memory usage: 12 MB
% 0.25/0.30  % (4013028)Instructions burned: 51 (million)
% 0.25/0.30  % (4013009)Success in time 0.08 s
% 0.25/0.30  % Vampire exiting
%------------------------------------------------------------------------------