TSTP Solution File: PUZ133+3 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : PUZ133+3 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 13:52:08 EDT 2024

% Result   : CounterSatisfiable 0.22s 0.47s
% Output   : FiniteModel 0.22s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff('declare_$i1',type,
    n0: $i ).

tff('declare_$i2',type,
    n: $i ).

tff('declare_$i3',type,
    'fmb_$i_3': $i ).

tff('declare_$i4',type,
    'fmb_$i_4': $i ).

tff('finite_domain_$i',axiom,
    ! [X: $i] :
      ( ( X = n0 )
      | ( X = n )
      | ( X = 'fmb_$i_3' )
      | ( X = 'fmb_$i_4' ) ) ).

tff('distinct_domain_$i',axiom,
    ( ( n0 != n )
    & ( n0 != 'fmb_$i_3' )
    & ( n0 != 'fmb_$i_4' )
    & ( n != 'fmb_$i_3' )
    & ( n != 'fmb_$i_4' )
    & ( 'fmb_$i_3' != 'fmb_$i_4' ) ) ).

tff(declare_s,type,
    s: $i > $i ).

tff(function_s,axiom,
    ( ( s(n0) = 'fmb_$i_3' )
    & ( s(n) = 'fmb_$i_4' )
    & ( s('fmb_$i_3') = n )
    & ( s('fmb_$i_4') = 'fmb_$i_4' ) ) ).

tff(declare_p,type,
    p: $i > $i ).

tff(function_p,axiom,
    ( ( p(n0) = n )
    & ( p(n) = 'fmb_$i_3' )
    & ( p('fmb_$i_3') = 'fmb_$i_4' )
    & ( p('fmb_$i_4') = 'fmb_$i_4' ) ) ).

tff(declare_plus,type,
    plus: ( $i * $i ) > $i ).

tff(function_plus,axiom,
    ( ( plus(n0,n0) = n )
    & ( plus(n0,n) = n0 )
    & ( plus(n0,'fmb_$i_3') = n0 )
    & ( plus(n0,'fmb_$i_4') = n )
    & ( plus(n,n0) = n0 )
    & ( plus(n,n) = n )
    & ( plus(n,'fmb_$i_3') = n )
    & ( plus(n,'fmb_$i_4') = n0 )
    & ( plus('fmb_$i_3',n0) = n0 )
    & ( plus('fmb_$i_3',n) = n )
    & ( plus('fmb_$i_3','fmb_$i_3') = n )
    & ( plus('fmb_$i_3','fmb_$i_4') = n0 )
    & ( plus('fmb_$i_4',n0) = n )
    & ( plus('fmb_$i_4',n) = n0 )
    & ( plus('fmb_$i_4','fmb_$i_3') = n0 )
    & ( plus('fmb_$i_4','fmb_$i_4') = n ) ) ).

tff(declare_minus,type,
    minus: ( $i * $i ) > $i ).

tff(function_minus,axiom,
    ( ( minus(n0,n0) = 'fmb_$i_4' )
    & ( minus(n0,n) = 'fmb_$i_3' )
    & ( minus(n0,'fmb_$i_3') = 'fmb_$i_3' )
    & ( minus(n0,'fmb_$i_4') = 'fmb_$i_4' )
    & ( minus(n,n0) = 'fmb_$i_3' )
    & ( minus(n,n) = 'fmb_$i_4' )
    & ( minus(n,'fmb_$i_3') = 'fmb_$i_4' )
    & ( minus(n,'fmb_$i_4') = 'fmb_$i_3' )
    & ( minus('fmb_$i_3',n0) = 'fmb_$i_3' )
    & ( minus('fmb_$i_3',n) = 'fmb_$i_4' )
    & ( minus('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
    & ( minus('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
    & ( minus('fmb_$i_4',n0) = 'fmb_$i_4' )
    & ( minus('fmb_$i_4',n) = 'fmb_$i_3' )
    & ( minus('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
    & ( minus('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).

tff(declare_queens_p,type,
    queens_p: $o ).

tff(queens_p_definition,axiom,
    queens_p ).

tff(declare_queens_q,type,
    queens_q: $o ).

tff(queens_q_definition,axiom,
    ~ queens_q ).

tff(declare_le,type,
    le: ( $i * $i ) > $o ).

tff(predicate_le,axiom,
    ( le(n0,n0)
    & le(n0,n)
    & le(n0,'fmb_$i_3')
    & le(n0,'fmb_$i_4')
    & ~ le(n,n0)
    & le(n,n)
    & ~ le(n,'fmb_$i_3')
    & le(n,'fmb_$i_4')
    & ~ le('fmb_$i_3',n0)
    & le('fmb_$i_3',n)
    & le('fmb_$i_3','fmb_$i_3')
    & le('fmb_$i_3','fmb_$i_4')
    & ~ le('fmb_$i_4',n0)
    & ~ le('fmb_$i_4',n)
    & ~ le('fmb_$i_4','fmb_$i_3')
    & le('fmb_$i_4','fmb_$i_4') ) ).

tff(declare_lt,type,
    lt: ( $i * $i ) > $o ).

tff(predicate_lt,axiom,
    ~ lt(n0,n0) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ133+3 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.12  % Command    : run_vampire %s %d SAT
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Jun 18 10:43:08 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a FOF_CSA_RFO_SEQ problem
% 0.12/0.35  Running first-order model finding
% 0.12/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42  % (28680)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28687)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.42  % (28680)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28681)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.42  % (28680)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28683)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.42  % (28680)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28684)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.22/0.42  % (28680)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28686)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.22/0.42  % (28680)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28682)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.22/0.42  % (28680)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (28685)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.42  TRYING [1]
% 0.22/0.42  TRYING [2]
% 0.22/0.43  TRYING [3]
% 0.22/0.44  TRYING [10]
% 0.22/0.44  TRYING [4]
% 0.22/0.47  % (28687)Instruction limit reached!
% 0.22/0.47  % (28687)------------------------------
% 0.22/0.47  % (28687)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47  % (28687)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47  % (28687)Termination reason: Time limit
% 0.22/0.47  % (28687)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (28687)Memory used [KB]: 1878
% 0.22/0.47  % (28687)Time elapsed: 0.054 s
% 0.22/0.47  % (28687)Instructions burned: 117 (million)
% 0.22/0.47  Finite Model Found!
% 0.22/0.47  % SZS status CounterSatisfiable for theBenchmark
% 0.22/0.47  % (28683)First to succeed.
% 0.22/0.47  % (28683)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28680"
% 0.22/0.47  % (28680)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47  % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.22/0.47  % (28683)------------------------------
% 0.22/0.47  % (28683)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47  % (28683)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47  % (28683)Termination reason: Satisfiable
% 0.22/0.47  
% 0.22/0.47  % (28683)Memory used [KB]: 1357
% 0.22/0.47  % (28683)Time elapsed: 0.056 s
% 0.22/0.47  % (28683)Instructions burned: 166 (million)
% 0.22/0.47  % (28683)------------------------------
% 0.22/0.47  % (28683)------------------------------
% 0.22/0.47  % (28680)Success in time 0.104 s
%------------------------------------------------------------------------------