TSTP Solution File: NUM615+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM615+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.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 : Wed Aug 31 18:06:08 EDT 2022

% Result   : Theorem 0.44s 0.70s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   28 (  13 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   26 (  10   ~;   6   |;   9   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   2   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1289,plain,
    $false,
    inference(subsumption_resolution,[],[f1288,f819]) ).

fof(f819,plain,
    aElementOf0(sK60,sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(cnf_transformation,[],[f467]) ).

fof(f467,plain,
    ( xp = sdtlpdtrp0(xe,sK60)
    & aElementOf0(sK60,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f106,f466]) ).

fof(f466,plain,
    ( ? [X0] :
        ( sdtlpdtrp0(xe,X0) = xp
        & aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
   => ( xp = sdtlpdtrp0(xe,sK60)
      & aElementOf0(sK60,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,axiom,
    ? [X0] :
      ( sdtlpdtrp0(xe,X0) = xp
      & aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).

fof(f1288,plain,
    ~ aElementOf0(sK60,sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(trivial_inequality_removal,[],[f1287]) ).

fof(f1287,plain,
    ( ~ aElementOf0(sK60,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | xp != xp ),
    inference(superposition,[],[f604,f820]) ).

fof(f820,plain,
    xp = sdtlpdtrp0(xe,sK60),
    inference(cnf_transformation,[],[f467]) ).

fof(f604,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xp
      | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(cnf_transformation,[],[f285]) ).

fof(f285,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xp
      | ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & ( sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
          | ~ aElementOf0(X0,szDzozmdt0(xd)) ) ) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,negated_conjecture,
    ~ ? [X0] :
        ( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
            & aElementOf0(X0,szDzozmdt0(xd)) ) )
        & sdtlpdtrp0(xe,X0) = xp ),
    inference(negated_conjecture,[],[f111]) ).

fof(f111,conjecture,
    ? [X0] :
      ( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
          & aElementOf0(X0,szDzozmdt0(xd)) ) )
      & sdtlpdtrp0(xe,X0) = xp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM615+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 07:20:34 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.37  ipcrm: permission denied for id (706969601)
% 0.21/0.37  ipcrm: permission denied for id (714506242)
% 0.21/0.38  ipcrm: permission denied for id (707035139)
% 0.21/0.38  ipcrm: permission denied for id (712835076)
% 0.21/0.38  ipcrm: permission denied for id (712900614)
% 0.21/0.38  ipcrm: permission denied for id (714604552)
% 0.21/0.38  ipcrm: permission denied for id (712998921)
% 0.21/0.38  ipcrm: permission denied for id (709918730)
% 0.21/0.38  ipcrm: permission denied for id (707166219)
% 0.21/0.39  ipcrm: permission denied for id (714670093)
% 0.21/0.39  ipcrm: permission denied for id (707231758)
% 0.21/0.39  ipcrm: permission denied for id (707264527)
% 0.21/0.39  ipcrm: permission denied for id (709951504)
% 0.21/0.39  ipcrm: permission denied for id (709984273)
% 0.21/0.39  ipcrm: permission denied for id (715554834)
% 0.21/0.39  ipcrm: permission denied for id (714735635)
% 0.21/0.40  ipcrm: permission denied for id (707362836)
% 0.21/0.40  ipcrm: permission denied for id (713162773)
% 0.21/0.40  ipcrm: permission denied for id (714768406)
% 0.21/0.40  ipcrm: permission denied for id (710148119)
% 0.21/0.40  ipcrm: permission denied for id (707461144)
% 0.21/0.40  ipcrm: permission denied for id (713261081)
% 0.21/0.40  ipcrm: permission denied for id (710213658)
% 0.21/0.40  ipcrm: permission denied for id (707526683)
% 0.21/0.41  ipcrm: permission denied for id (713293852)
% 0.21/0.41  ipcrm: permission denied for id (710279197)
% 0.21/0.41  ipcrm: permission denied for id (707624990)
% 0.21/0.41  ipcrm: permission denied for id (710311967)
% 0.21/0.41  ipcrm: permission denied for id (715587616)
% 0.21/0.41  ipcrm: permission denied for id (710377505)
% 0.21/0.41  ipcrm: permission denied for id (707690530)
% 0.21/0.41  ipcrm: permission denied for id (710410275)
% 0.21/0.41  ipcrm: permission denied for id (710443044)
% 0.21/0.41  ipcrm: permission denied for id (707756069)
% 0.21/0.42  ipcrm: permission denied for id (710475814)
% 0.21/0.42  ipcrm: permission denied for id (715620391)
% 0.21/0.42  ipcrm: permission denied for id (713424936)
% 0.21/0.42  ipcrm: permission denied for id (713457705)
% 0.21/0.42  ipcrm: permission denied for id (710606890)
% 0.21/0.42  ipcrm: permission denied for id (707887147)
% 0.21/0.42  ipcrm: permission denied for id (713490476)
% 0.21/0.42  ipcrm: permission denied for id (710672429)
% 0.21/0.43  ipcrm: permission denied for id (710705198)
% 0.21/0.43  ipcrm: permission denied for id (713523247)
% 0.21/0.43  ipcrm: permission denied for id (707952688)
% 0.21/0.43  ipcrm: permission denied for id (710770737)
% 0.21/0.43  ipcrm: permission denied for id (713556018)
% 0.21/0.43  ipcrm: permission denied for id (713588787)
% 0.21/0.43  ipcrm: permission denied for id (713621556)
% 0.21/0.43  ipcrm: permission denied for id (710901813)
% 0.21/0.44  ipcrm: permission denied for id (708018230)
% 0.21/0.44  ipcrm: permission denied for id (708050999)
% 0.21/0.44  ipcrm: permission denied for id (710934584)
% 0.21/0.44  ipcrm: permission denied for id (714866745)
% 0.21/0.44  ipcrm: permission denied for id (713687098)
% 0.21/0.44  ipcrm: permission denied for id (711032891)
% 0.21/0.44  ipcrm: permission denied for id (708149308)
% 0.21/0.44  ipcrm: permission denied for id (711065661)
% 0.21/0.45  ipcrm: permission denied for id (714932286)
% 0.21/0.45  ipcrm: permission denied for id (711131199)
% 0.21/0.45  ipcrm: permission denied for id (713752640)
% 0.21/0.45  ipcrm: permission denied for id (711196737)
% 0.21/0.45  ipcrm: permission denied for id (715718722)
% 0.21/0.45  ipcrm: permission denied for id (711262275)
% 0.21/0.45  ipcrm: permission denied for id (711295044)
% 0.21/0.45  ipcrm: permission denied for id (708313157)
% 0.21/0.46  ipcrm: permission denied for id (708345926)
% 0.21/0.46  ipcrm: permission denied for id (711327815)
% 0.21/0.46  ipcrm: permission denied for id (711360584)
% 0.21/0.46  ipcrm: permission denied for id (708378697)
% 0.21/0.46  ipcrm: permission denied for id (711393354)
% 0.21/0.46  ipcrm: permission denied for id (714997835)
% 0.21/0.46  ipcrm: permission denied for id (713850956)
% 0.21/0.46  ipcrm: permission denied for id (708477006)
% 0.21/0.46  ipcrm: permission denied for id (711524431)
% 0.21/0.47  ipcrm: permission denied for id (708509776)
% 0.21/0.47  ipcrm: permission denied for id (708542545)
% 0.21/0.47  ipcrm: permission denied for id (711557202)
% 0.21/0.47  ipcrm: permission denied for id (708608083)
% 0.21/0.47  ipcrm: permission denied for id (711589972)
% 0.21/0.47  ipcrm: permission denied for id (711622741)
% 0.21/0.47  ipcrm: permission denied for id (711655510)
% 0.21/0.47  ipcrm: permission denied for id (708706391)
% 0.21/0.47  ipcrm: permission denied for id (711688280)
% 0.21/0.47  ipcrm: permission denied for id (708739161)
% 0.21/0.48  ipcrm: permission denied for id (711753818)
% 0.21/0.48  ipcrm: permission denied for id (708771931)
% 0.21/0.48  ipcrm: permission denied for id (713916508)
% 0.21/0.48  ipcrm: permission denied for id (715063389)
% 0.21/0.48  ipcrm: permission denied for id (708870238)
% 0.21/0.48  ipcrm: permission denied for id (708903007)
% 0.21/0.48  ipcrm: permission denied for id (713982048)
% 0.21/0.48  ipcrm: permission denied for id (708935777)
% 0.21/0.48  ipcrm: permission denied for id (711917666)
% 0.21/0.48  ipcrm: permission denied for id (709001315)
% 0.21/0.49  ipcrm: permission denied for id (714014820)
% 0.21/0.49  ipcrm: permission denied for id (714047589)
% 0.21/0.49  ipcrm: permission denied for id (715784294)
% 0.21/0.49  ipcrm: permission denied for id (714113127)
% 0.21/0.49  ipcrm: permission denied for id (712147048)
% 0.21/0.49  ipcrm: permission denied for id (709099625)
% 0.21/0.49  ipcrm: permission denied for id (715128938)
% 0.21/0.49  ipcrm: permission denied for id (709165163)
% 0.21/0.49  ipcrm: permission denied for id (714178668)
% 0.21/0.49  ipcrm: permission denied for id (715161709)
% 0.21/0.50  ipcrm: permission denied for id (712278126)
% 0.21/0.50  ipcrm: permission denied for id (715260016)
% 0.21/0.50  ipcrm: permission denied for id (709263474)
% 0.21/0.50  ipcrm: permission denied for id (712474739)
% 0.21/0.50  ipcrm: permission denied for id (709329012)
% 0.21/0.50  ipcrm: permission denied for id (709361781)
% 0.21/0.51  ipcrm: permission denied for id (712507510)
% 0.21/0.51  ipcrm: permission denied for id (712605817)
% 0.21/0.51  ipcrm: permission denied for id (712638586)
% 0.21/0.51  ipcrm: permission denied for id (714408059)
% 0.21/0.51  ipcrm: permission denied for id (709427324)
% 0.21/0.51  ipcrm: permission denied for id (714440829)
% 0.21/0.52  ipcrm: permission denied for id (712736894)
% 0.21/0.52  ipcrm: permission denied for id (709492863)
% 0.38/0.65  % (5639)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 0.38/0.65  % (5639)Instruction limit reached!
% 0.38/0.65  % (5639)------------------------------
% 0.38/0.65  % (5639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.38/0.66  % (5647)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/75Mi)
% 0.38/0.66  % (5639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.38/0.66  % (5639)Termination reason: Unknown
% 0.38/0.66  % (5639)Termination phase: Preprocessing 3
% 0.38/0.66  
% 0.38/0.66  % (5639)Memory used [KB]: 1279
% 0.38/0.66  % (5639)Time elapsed: 0.006 s
% 0.38/0.66  % (5639)Instructions burned: 7 (million)
% 0.38/0.66  % (5639)------------------------------
% 0.38/0.66  % (5639)------------------------------
% 0.38/0.66  % (5651)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.38/0.66  % (5642)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.44/0.67  % (5659)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/177Mi)
% 0.44/0.67  % (5655)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/467Mi)
% 0.44/0.68  % (5640)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.44/0.69  % (5640)Instruction limit reached!
% 0.44/0.69  % (5640)------------------------------
% 0.44/0.69  % (5640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.44/0.69  % (5640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.44/0.69  % (5640)Termination reason: Unknown
% 0.44/0.69  % (5640)Termination phase: shuffling
% 0.44/0.69  
% 0.44/0.69  % (5640)Memory used [KB]: 1151
% 0.44/0.69  % (5640)Time elapsed: 0.003 s
% 0.44/0.69  % (5640)Instructions burned: 4 (million)
% 0.44/0.69  % (5640)------------------------------
% 0.44/0.69  % (5640)------------------------------
% 0.44/0.69  % (5654)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/498Mi)
% 0.44/0.69  % (5636)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.44/0.70  % (5634)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 0.44/0.70  % (5651)First to succeed.
% 0.44/0.70  % (5651)Refutation found. Thanks to Tanya!
% 0.44/0.70  % SZS status Theorem for theBenchmark
% 0.44/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 0.44/0.70  % (5651)------------------------------
% 0.44/0.70  % (5651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.44/0.70  % (5651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.44/0.70  % (5651)Termination reason: Refutation
% 0.44/0.70  
% 0.44/0.70  % (5651)Memory used [KB]: 1791
% 0.44/0.70  % (5651)Time elapsed: 0.117 s
% 0.44/0.70  % (5651)Instructions burned: 35 (million)
% 0.44/0.70  % (5651)------------------------------
% 0.44/0.70  % (5651)------------------------------
% 0.44/0.70  % (5498)Success in time 0.33 s
%------------------------------------------------------------------------------