TSTP Solution File: NUM618+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM618+1 : 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 : n020.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 18:06:09 EDT 2022

% Result   : Theorem 1.47s 0.56s
% Output   : Refutation 1.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   39 (  12 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  13   ~;   7   |;  13   &)
%                                         (   0 <=>;   2  =>;   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    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   13 (   8   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f690,plain,
    $false,
    inference(resolution,[],[f689,f462]) ).

fof(f462,plain,
    aElementOf0(xx,xO),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,axiom,
    ( aElementOf0(xx,xO)
    & aElementOf0(xx,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).

fof(f689,plain,
    ~ aElementOf0(xx,xO),
    inference(resolution,[],[f688,f472]) ).

fof(f472,plain,
    ! [X0] :
      ( aElementOf0(sK15(X0),szNzAzT0)
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f306]) ).

fof(f306,plain,
    ! [X0] :
      ( ( sdtlpdtrp0(xe,sK15(X0)) = X0
        & aElementOf0(sK15(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & aElementOf0(sK15(X0),szNzAzT0) )
      | ~ aElementOf0(X0,xO) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f179,f305]) ).

fof(f305,plain,
    ! [X0] :
      ( ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) )
     => ( sdtlpdtrp0(xe,sK15(X0)) = X0
        & aElementOf0(sK15(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & aElementOf0(sK15(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f179,plain,
    ! [X0] :
      ( ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) )
      | ~ aElementOf0(X0,xO) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,axiom,
    ! [X0] :
      ( aElementOf0(X0,xO)
     => ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).

fof(f688,plain,
    ~ aElementOf0(sK15(xx),szNzAzT0),
    inference(trivial_inequality_removal,[],[f687]) ).

fof(f687,plain,
    ( ~ aElementOf0(sK15(xx),szNzAzT0)
    | xx != xx ),
    inference(superposition,[],[f522,f685]) ).

fof(f685,plain,
    xx = sdtlpdtrp0(xe,sK15(xx)),
    inference(resolution,[],[f474,f462]) ).

fof(f474,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xO)
      | sdtlpdtrp0(xe,sK15(X0)) = X0 ),
    inference(cnf_transformation,[],[f306]) ).

fof(f522,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xx
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | sdtlpdtrp0(xe,X0) != xx ),
    inference(ennf_transformation,[],[f116]) ).

fof(f116,negated_conjecture,
    ~ ? [X0] :
        ( aElementOf0(X0,szNzAzT0)
        & sdtlpdtrp0(xe,X0) = xx ),
    inference(negated_conjecture,[],[f115]) ).

fof(f115,conjecture,
    ? [X0] :
      ( aElementOf0(X0,szNzAzT0)
      & sdtlpdtrp0(xe,X0) = xx ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM618+1 : 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
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 07:26:45 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (27784)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 (2999ds/37Mi)
% 0.20/0.51  % (27803)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52  % (27791)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (27795)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (27791)First to succeed.
% 0.20/0.54  % (27804)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 (2999ds/498Mi)
% 0.20/0.54  % (27808)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (27796)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (27782)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54  % (27786)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (27785)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (27787)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54  % (27793)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (27794)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (27788)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (27783)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (27789)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (27797)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 (2999ds/75Mi)
% 0.20/0.55  % (27800)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.55  % (27811)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.47/0.55  % (27806)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.55  % (27807)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.47/0.55  % (27810)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.55  % (27792)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.55  % (27809)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 (2999ds/177Mi)
% 1.47/0.55  % (27784)Instruction limit reached!
% 1.47/0.55  % (27784)------------------------------
% 1.47/0.55  % (27784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56  % (27791)Refutation found. Thanks to Tanya!
% 1.47/0.56  % SZS status Theorem for theBenchmark
% 1.47/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.56  % (27791)------------------------------
% 1.47/0.56  % (27791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56  % (27791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56  % (27791)Termination reason: Refutation
% 1.47/0.56  
% 1.47/0.56  % (27791)Memory used [KB]: 1535
% 1.47/0.56  % (27791)Time elapsed: 0.127 s
% 1.47/0.56  % (27791)Instructions burned: 19 (million)
% 1.47/0.56  % (27791)------------------------------
% 1.47/0.56  % (27791)------------------------------
% 1.47/0.56  % (27781)Success in time 0.199 s
%------------------------------------------------------------------------------