TSTP Solution File: RNG088+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG088+2 : 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 : n023.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 18:15:45 EDT 2022

% Result   : Theorem 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :  102 (   2 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  100 (  27   ~;  27   |;  34   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f326,plain,
    $false,
    inference(subsumption_resolution,[],[f325,f185]) ).

fof(f185,plain,
    ~ aElementOf0(xm,xI),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f119,plain,
    aElementOf0(xm,xI),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    ( xy = sdtpldt0(xm,xn)
    & aElementOf0(xm,xI)
    & aElementOf0(xn,xJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__967) ).

fof(f325,plain,
    aElementOf0(xm,xI),
    inference(subsumption_resolution,[],[f324,f224]) ).

fof(f224,plain,
    ~ aElementOf0(xk,xI),
    inference(consistent_polarity_flipping,[],[f159]) ).

fof(f159,plain,
    aElementOf0(xk,xI),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( xx = sdtpldt0(xk,xl)
    & aElementOf0(xl,xJ)
    & aElementOf0(xk,xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__934) ).

fof(f324,plain,
    ( aElementOf0(xk,xI)
    | aElementOf0(xm,xI) ),
    inference(resolution,[],[f310,f210]) ).

fof(f210,plain,
    ! [X3,X5] :
      ( ~ aElementOf0(sdtpldt0(X3,X5),xI)
      | aElementOf0(X5,xI)
      | aElementOf0(X3,xI) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f104,plain,
    ! [X3,X5] :
      ( ~ aElementOf0(X3,xI)
      | aElementOf0(sdtpldt0(X3,X5),xI)
      | ~ aElementOf0(X5,xI) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ( aIdeal0(xJ)
    & ! [X0] :
        ( ~ aElementOf0(X0,xJ)
        | ( ! [X1] :
              ( aElementOf0(sdtasdt0(X1,X0),xJ)
              | ~ aElement0(X1) )
          & ! [X2] :
              ( ~ aElementOf0(X2,xJ)
              | aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
    & aSet0(xJ)
    & aIdeal0(xI)
    & aSet0(xI)
    & ! [X3] :
        ( ( ! [X4] :
              ( aElementOf0(sdtasdt0(X4,X3),xI)
              | ~ aElement0(X4) )
          & ! [X5] :
              ( ~ aElementOf0(X5,xI)
              | aElementOf0(sdtpldt0(X3,X5),xI) ) )
        | ~ aElementOf0(X3,xI) ) ),
    inference(rectify,[],[f60]) ).

fof(f60,plain,
    ( aIdeal0(xJ)
    & ! [X0] :
        ( ~ aElementOf0(X0,xJ)
        | ( ! [X2] :
              ( aElementOf0(sdtasdt0(X2,X0),xJ)
              | ~ aElement0(X2) )
          & ! [X1] :
              ( ~ aElementOf0(X1,xJ)
              | aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
    & aSet0(xJ)
    & aIdeal0(xI)
    & aSet0(xI)
    & ! [X3] :
        ( ( ! [X5] :
              ( aElementOf0(sdtasdt0(X5,X3),xI)
              | ~ aElement0(X5) )
          & ! [X4] :
              ( ~ aElementOf0(X4,xI)
              | aElementOf0(sdtpldt0(X3,X4),xI) ) )
        | ~ aElementOf0(X3,xI) ) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ( aIdeal0(xJ)
    & aSet0(xJ)
    & aSet0(xI)
    & ! [X3] :
        ( aElementOf0(X3,xI)
       => ( ! [X5] :
              ( aElement0(X5)
             => aElementOf0(sdtasdt0(X5,X3),xI) )
          & ! [X4] :
              ( aElementOf0(X4,xI)
             => aElementOf0(sdtpldt0(X3,X4),xI) ) ) )
    & ! [X0] :
        ( aElementOf0(X0,xJ)
       => ( ! [X2] :
              ( aElement0(X2)
             => aElementOf0(sdtasdt0(X2,X0),xJ) )
          & ! [X1] :
              ( aElementOf0(X1,xJ)
             => aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
    & aIdeal0(xI) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ( aSet0(xI)
    & ! [X0] :
        ( aElementOf0(X0,xJ)
       => ( ! [X1] :
              ( aElementOf0(X1,xJ)
             => aElementOf0(sdtpldt0(X0,X1),xJ) )
          & ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xJ) ) ) )
    & ! [X0] :
        ( aElementOf0(X0,xI)
       => ( ! [X1] :
              ( aElementOf0(X1,xI)
             => aElementOf0(sdtpldt0(X0,X1),xI) )
          & ! [X1] :
              ( aElement0(X1)
             => aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
    & aSet0(xJ)
    & aIdeal0(xI)
    & aIdeal0(xJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).

fof(f310,plain,
    aElementOf0(sdtpldt0(xk,xm),xI),
    inference(subsumption_resolution,[],[f309,f196]) ).

fof(f196,plain,
    ~ aElementOf0(xl,xJ),
    inference(consistent_polarity_flipping,[],[f160]) ).

fof(f160,plain,
    aElementOf0(xl,xJ),
    inference(cnf_transformation,[],[f27]) ).

fof(f309,plain,
    ( aElementOf0(sdtpldt0(xk,xm),xI)
    | aElementOf0(xl,xJ) ),
    inference(subsumption_resolution,[],[f303,f225]) ).

fof(f225,plain,
    ~ aElementOf0(xn,xJ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f118,plain,
    aElementOf0(xn,xJ),
    inference(cnf_transformation,[],[f28]) ).

fof(f303,plain,
    ( aElementOf0(sdtpldt0(xk,xm),xI)
    | aElementOf0(xn,xJ)
    | aElementOf0(xl,xJ) ),
    inference(resolution,[],[f205,f212]) ).

fof(f212,plain,
    ( aElementOf0(sdtpldt0(xl,xn),xJ)
    | aElementOf0(sdtpldt0(xk,xm),xI) ),
    inference(consistent_polarity_flipping,[],[f153]) ).

fof(f153,plain,
    ( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
    | ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( ~ aElementOf0(sdtpldt0(xk,xm),xI)
    | ~ aElementOf0(sdtpldt0(xl,xn),xJ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ( aElementOf0(sdtpldt0(xk,xm),xI)
      & aElementOf0(sdtpldt0(xl,xn),xJ) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ( aElementOf0(sdtpldt0(xk,xm),xI)
    & aElementOf0(sdtpldt0(xl,xn),xJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f205,plain,
    ! [X2,X0] :
      ( ~ aElementOf0(sdtpldt0(X0,X2),xJ)
      | aElementOf0(X0,xJ)
      | aElementOf0(X2,xJ) ),
    inference(consistent_polarity_flipping,[],[f109]) ).

fof(f109,plain,
    ! [X2,X0] :
      ( aElementOf0(sdtpldt0(X0,X2),xJ)
      | ~ aElementOf0(X0,xJ)
      | ~ aElementOf0(X2,xJ) ),
    inference(cnf_transformation,[],[f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem    : RNG088+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32  % Computer : n023.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 12:25:35 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.47  % (24324)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.47  % (24306)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)
% 0.16/0.47  % (24319)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 (2999ds/100Mi)
% 0.16/0.47  % (24307)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.48  % (24308)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.48  % (24308)Instruction limit reached!
% 0.16/0.48  % (24308)------------------------------
% 0.16/0.48  % (24308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (24315)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)
% 0.16/0.48  % (24316)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.48  % (24308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (24308)Termination reason: Unknown
% 0.16/0.48  % (24308)Termination phase: Naming
% 0.16/0.48  
% 0.16/0.48  % (24308)Memory used [KB]: 895
% 0.16/0.48  % (24308)Time elapsed: 0.005 s
% 0.16/0.48  % (24308)Instructions burned: 2 (million)
% 0.16/0.48  % (24308)------------------------------
% 0.16/0.48  % (24308)------------------------------
% 0.16/0.48  TRYING [1]
% 0.16/0.48  % (24307)Instruction limit reached!
% 0.16/0.48  % (24307)------------------------------
% 0.16/0.48  % (24307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (24307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (24307)Termination reason: Unknown
% 0.16/0.48  % (24307)Termination phase: Saturation
% 0.16/0.48  
% 0.16/0.48  % (24307)Memory used [KB]: 5628
% 0.16/0.48  % (24307)Time elapsed: 0.106 s
% 0.16/0.48  % (24307)Instructions burned: 7 (million)
% 0.16/0.48  % (24307)------------------------------
% 0.16/0.48  % (24307)------------------------------
% 0.16/0.49  % (24322)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)
% 0.16/0.49  TRYING [2]
% 0.16/0.49  % (24314)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)
% 0.16/0.49  % (24319)First to succeed.
% 0.16/0.49  % (24311)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)
% 0.16/0.50  % (24323)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 (2999ds/467Mi)
% 0.16/0.50  % (24319)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Theorem for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (24319)------------------------------
% 0.16/0.50  % (24319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (24319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (24319)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (24319)Memory used [KB]: 1151
% 0.16/0.50  % (24319)Time elapsed: 0.111 s
% 0.16/0.50  % (24319)Instructions burned: 8 (million)
% 0.16/0.50  % (24319)------------------------------
% 0.16/0.50  % (24319)------------------------------
% 0.16/0.50  % (24299)Success in time 0.174 s
%------------------------------------------------------------------------------