TSTP Solution File: NUM437+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : NUM437+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n021.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 13:24:33 EDT 2024

% Result   : CounterSatisfiable 0.20s 0.43s
% Output   : FiniteModel 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff('declare_$i1',type,
    sz00: $i ).

tff('declare_$i2',type,
    cS1395: $i ).

tff('finite_domain_$i',axiom,
    ! [X: $i] :
      ( ( X = sz00 )
      | ( X = cS1395 ) ) ).

tff('distinct_domain_$i',axiom,
    sz00 != cS1395 ).

tff(declare_sz10,type,
    sz10: $i ).

tff(sz10_definition,axiom,
    sz10 = sz00 ).

tff(declare_xS,type,
    xS: $i ).

tff(xS_definition,axiom,
    xS = sz00 ).

tff(declare_smndt0,type,
    smndt0: $i > $i ).

tff(function_smndt0,axiom,
    ( ( smndt0(sz00) = sz00 )
    & ( smndt0(cS1395) = sz00 ) ) ).

tff(declare_sdtpldt0,type,
    sdtpldt0: ( $i * $i ) > $i ).

tff(function_sdtpldt0,axiom,
    ( ( sdtpldt0(sz00,sz00) = sz00 )
    & ( sdtpldt0(sz00,cS1395) = cS1395 )
    & ( sdtpldt0(cS1395,sz00) = cS1395 )
    & ( sdtpldt0(cS1395,cS1395) = cS1395 ) ) ).

tff(declare_sdtasdt0,type,
    sdtasdt0: ( $i * $i ) > $i ).

tff(function_sdtasdt0,axiom,
    ( ( sdtasdt0(sz00,sz00) = sz00 )
    & ( sdtasdt0(sz00,cS1395) = sz00 )
    & ( sdtasdt0(cS1395,sz00) = sz00 )
    & ( sdtasdt0(cS1395,cS1395) = cS1395 ) ) ).

tff(declare_sdtbsmnsldt0,type,
    sdtbsmnsldt0: ( $i * $i ) > $i ).

tff(function_sdtbsmnsldt0,axiom,
    ( ( sdtbsmnsldt0(sz00,sz00) = sz00 )
    & ( sdtbsmnsldt0(sz00,cS1395) = sz00 )
    & ( sdtbsmnsldt0(cS1395,sz00) = sz00 )
    & ( sdtbsmnsldt0(cS1395,cS1395) = sz00 ) ) ).

tff(declare_sdtslmnbsdt0,type,
    sdtslmnbsdt0: ( $i * $i ) > $i ).

tff(function_sdtslmnbsdt0,axiom,
    ( ( sdtslmnbsdt0(sz00,sz00) = sz00 )
    & ( sdtslmnbsdt0(sz00,cS1395) = sz00 )
    & ( sdtslmnbsdt0(cS1395,sz00) = sz00 )
    & ( sdtslmnbsdt0(cS1395,cS1395) = sz00 ) ) ).

tff(declare_sbsmnsldt0,type,
    sbsmnsldt0: $i > $i ).

tff(function_sbsmnsldt0,axiom,
    ( ( sbsmnsldt0(sz00) = sz00 )
    & ( sbsmnsldt0(cS1395) = sz00 ) ) ).

tff(declare_stldt0,type,
    stldt0: $i > $i ).

tff(function_stldt0,axiom,
    ( ( stldt0(sz00) = sz00 )
    & ( stldt0(cS1395) = cS1395 ) ) ).

tff(declare_szAzrzSzezqlpdtcmdtrp0,type,
    szAzrzSzezqlpdtcmdtrp0: ( $i * $i ) > $i ).

tff(function_szAzrzSzezqlpdtcmdtrp0,axiom,
    ( ( szAzrzSzezqlpdtcmdtrp0(sz00,sz00) = sz00 )
    & ( szAzrzSzezqlpdtcmdtrp0(sz00,cS1395) = cS1395 )
    & ( szAzrzSzezqlpdtcmdtrp0(cS1395,sz00) = sz00 )
    & ( szAzrzSzezqlpdtcmdtrp0(cS1395,cS1395) = cS1395 ) ) ).

tff(declare_aInteger0,type,
    aInteger0: $i > $o ).

tff(predicate_aInteger0,axiom,
    ( aInteger0(sz00)
    & ~ aInteger0(cS1395) ) ).

tff(declare_aDivisorOf0,type,
    aDivisorOf0: ( $i * $i ) > $o ).

tff(predicate_aDivisorOf0,axiom,
    ( ~ aDivisorOf0(sz00,sz00)
    & ~ aDivisorOf0(sz00,cS1395)
    & ~ aDivisorOf0(cS1395,sz00)
    & aDivisorOf0(cS1395,cS1395) ) ).

tff(declare_sdteqdtlpzmzozddtrp0,type,
    sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).

tff(predicate_sdteqdtlpzmzozddtrp0,axiom,
    ( ~ sdteqdtlpzmzozddtrp0(sz00,sz00,sz00)
    & sdteqdtlpzmzozddtrp0(sz00,sz00,cS1395)
    & ~ sdteqdtlpzmzozddtrp0(sz00,cS1395,sz00)
    & ~ sdteqdtlpzmzozddtrp0(sz00,cS1395,cS1395)
    & ~ sdteqdtlpzmzozddtrp0(cS1395,sz00,sz00)
    & ~ sdteqdtlpzmzozddtrp0(cS1395,sz00,cS1395)
    & ~ sdteqdtlpzmzozddtrp0(cS1395,cS1395,sz00)
    & sdteqdtlpzmzozddtrp0(cS1395,cS1395,cS1395) ) ).

tff(declare_isPrime0,type,
    isPrime0: $i > $o ).

tff(predicate_isPrime0,axiom,
    ( ~ isPrime0(sz00)
    & ~ isPrime0(cS1395) ) ).

tff(declare_aSet0,type,
    aSet0: $i > $o ).

tff(predicate_aSet0,axiom,
    ( aSet0(sz00)
    & ~ aSet0(cS1395) ) ).

tff(declare_aElementOf0,type,
    aElementOf0: ( $i * $i ) > $o ).

tff(predicate_aElementOf0,axiom,
    ( ~ aElementOf0(sz00,sz00)
    & aElementOf0(sz00,cS1395)
    & ~ aElementOf0(cS1395,sz00)
    & aElementOf0(cS1395,cS1395) ) ).

tff(declare_aSubsetOf0,type,
    aSubsetOf0: ( $i * $i ) > $o ).

tff(predicate_aSubsetOf0,axiom,
    ( aSubsetOf0(sz00,sz00)
    & ~ aSubsetOf0(sz00,cS1395)
    & ~ aSubsetOf0(cS1395,sz00)
    & ~ aSubsetOf0(cS1395,cS1395) ) ).

tff(declare_isFinite0,type,
    isFinite0: $i > $o ).

tff(predicate_isFinite0,axiom,
    ~ isFinite0(sz00) ).

tff(declare_isOpen0,type,
    isOpen0: $i > $o ).

tff(predicate_isOpen0,axiom,
    ( ~ isOpen0(sz00)
    & ~ isOpen0(cS1395) ) ).

tff(declare_isClosed0,type,
    isClosed0: $i > $o ).

tff(predicate_isClosed0,axiom,
    ~ isClosed0(sz00) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : NUM437+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.11  % Command    : run_vampire %s %d SAT
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sat Jun 22 21:37:09 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.34  This is a FOF_CSA_RFO_SEQ problem
% 0.11/0.35  Running first-order model finding
% 0.11/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39  % (14087)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.39  % (14093)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)
% 0.20/0.41  % (14087)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (14088)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.20/0.41  % (14087)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (14090)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.20/0.41  % (14087)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (14092)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.20/0.41  % (14087)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (14091)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)
% 0.20/0.41  % (14087)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (14089)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)
% 0.20/0.41  % (14087)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (14094)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)
% 0.20/0.42  TRYING [1]
% 0.20/0.42  TRYING [2]
% 0.20/0.43  Finite Model Found!
% 0.20/0.43  % SZS status CounterSatisfiable for theBenchmark
% 0.20/0.43  % (14090)First to succeed.
% 0.20/0.43  % (14090)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14087"
% 0.20/0.43  % (14087)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43  % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.20/0.43  % (14090)------------------------------
% 0.20/0.43  % (14090)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43  % (14090)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43  % (14090)Termination reason: Satisfiable
% 0.20/0.43  
% 0.20/0.43  % (14090)Memory used [KB]: 1128
% 0.20/0.43  % (14090)Time elapsed: 0.022 s
% 0.20/0.43  % (14090)Instructions burned: 37 (million)
% 0.20/0.43  % (14090)------------------------------
% 0.20/0.43  % (14090)------------------------------
% 0.20/0.43  % (14087)Success in time 0.08 s
%------------------------------------------------------------------------------