TSTP Solution File: RNG070+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG070+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_uns --cores 0 -t %d %s

% Computer : n013.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 18:14:47 EDT 2022

% Result   : Theorem 0.21s 0.60s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   38 (  12 unt;   0 def)
%            Number of atoms       :   82 (   3 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   77 (  33   ~;  33   |;   6   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f304,plain,
    $false,
    inference(avatar_sat_refutation,[],[f295,f299,f303]) ).

fof(f303,plain,
    spl2_5,
    inference(avatar_contradiction_clause,[],[f302]) ).

fof(f302,plain,
    ( $false
    | spl2_5 ),
    inference(subsumption_resolution,[],[f301,f212]) ).

fof(f212,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).

fof(f301,plain,
    ( ~ aScalar0(xS)
    | spl2_5 ),
    inference(subsumption_resolution,[],[f300,f197]) ).

fof(f197,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,axiom,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).

fof(f300,plain,
    ( ~ aScalar0(xR)
    | ~ aScalar0(xS)
    | spl2_5 ),
    inference(resolution,[],[f292,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X1,X0))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtpldt0(X1,X0)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).

fof(f292,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | spl2_5 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f290,plain,
    ( spl2_5
  <=> aScalar0(sdtpldt0(xR,xS)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f299,plain,
    spl2_4,
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f298,plain,
    ( $false
    | spl2_4 ),
    inference(subsumption_resolution,[],[f297,f217]) ).

fof(f217,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,axiom,
    ( xP = sdtasdt0(xE,xH)
    & aScalar0(xP) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).

fof(f297,plain,
    ( ~ aScalar0(xP)
    | spl2_4 ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f296,plain,
    ( ~ aScalar0(xP)
    | ~ aScalar0(xP)
    | spl2_4 ),
    inference(resolution,[],[f288,f160]) ).

fof(f288,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | spl2_4 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl2_4
  <=> aScalar0(sdtpldt0(xP,xP)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f295,plain,
    ( ~ spl2_4
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f294,f290,f286]) ).

fof(f294,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(subsumption_resolution,[],[f281,f162]) ).

fof(f162,plain,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(flattening,[],[f62]) ).

fof(f62,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(negated_conjecture,[],[f61]) ).

fof(f61,conjecture,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f281,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
    inference(resolution,[],[f159,f145]) ).

fof(f145,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2590) ).

fof(f159,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(rectify,[],[f99]) ).

fof(f99,plain,
    ! [X1,X0] :
      ( sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X1,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X1,X0] :
      ( sdtlseqdt0(X0,X1)
      | sdtlseqdt0(X1,X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X1,X0] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtlseqdt0(X0,X1)
        | sdtlseqdt0(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : RNG070+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 30 12:00:17 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.53  % (26588)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.54  % (26580)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.54  % (26589)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.56  % (26581)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.57  % (26580)Instruction limit reached!
% 0.21/0.57  % (26580)------------------------------
% 0.21/0.57  % (26580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (26589)Instruction limit reached!
% 0.21/0.57  % (26589)------------------------------
% 0.21/0.57  % (26589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (26587)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.57  % (26581)Instruction limit reached!
% 0.21/0.57  % (26581)------------------------------
% 0.21/0.57  % (26581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (26584)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.57  % (26581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (26581)Termination reason: Unknown
% 0.21/0.57  % (26581)Termination phase: Property scanning
% 0.21/0.57  
% 0.21/0.57  % (26581)Memory used [KB]: 1535
% 0.21/0.58  % (26581)Time elapsed: 0.005 s
% 0.21/0.58  % (26581)Instructions burned: 3 (million)
% 0.21/0.58  % (26581)------------------------------
% 0.21/0.58  % (26581)------------------------------
% 0.21/0.58  % (26585)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.58  % (26589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (26589)Termination reason: Unknown
% 0.21/0.58  % (26589)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (26589)Memory used [KB]: 6396
% 0.21/0.58  % (26589)Time elapsed: 0.139 s
% 0.21/0.58  % (26589)Instructions burned: 13 (million)
% 0.21/0.58  % (26589)------------------------------
% 0.21/0.58  % (26589)------------------------------
% 0.21/0.58  % (26597)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.58  % (26597)Instruction limit reached!
% 0.21/0.58  % (26597)------------------------------
% 0.21/0.58  % (26597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (26597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (26597)Termination reason: Unknown
% 0.21/0.58  % (26597)Termination phase: Preprocessing 3
% 0.21/0.58  
% 0.21/0.58  % (26597)Memory used [KB]: 1535
% 0.21/0.58  % (26597)Time elapsed: 0.005 s
% 0.21/0.58  % (26597)Instructions burned: 2 (million)
% 0.21/0.58  % (26597)------------------------------
% 0.21/0.58  % (26597)------------------------------
% 0.21/0.59  % (26582)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59  % (26596)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.59  % (26601)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.59  % (26594)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.59  % (26596)Instruction limit reached!
% 0.21/0.59  % (26596)------------------------------
% 0.21/0.59  % (26596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (26596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (26596)Termination reason: Unknown
% 0.21/0.59  % (26596)Termination phase: Finite model building preprocessing
% 0.21/0.59  
% 0.21/0.59  % (26596)Memory used [KB]: 1535
% 0.21/0.59  % (26596)Time elapsed: 0.004 s
% 0.21/0.59  % (26596)Instructions burned: 4 (million)
% 0.21/0.59  % (26596)------------------------------
% 0.21/0.59  % (26596)------------------------------
% 0.21/0.59  % (26608)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.60  % (26602)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.60  % (26583)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.60  % (26579)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.60  % (26606)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.60  % (26585)First to succeed.
% 0.21/0.60  % (26585)Refutation found. Thanks to Tanya!
% 0.21/0.60  % SZS status Theorem for theBenchmark
% 0.21/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.61  % (26585)------------------------------
% 0.21/0.61  % (26585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61  % (26585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61  % (26585)Termination reason: Refutation
% 0.21/0.61  
% 0.21/0.61  % (26585)Memory used [KB]: 6140
% 0.21/0.61  % (26585)Time elapsed: 0.181 s
% 0.21/0.61  % (26585)Instructions burned: 7 (million)
% 0.21/0.61  % (26585)------------------------------
% 0.21/0.61  % (26585)------------------------------
% 0.21/0.61  % (26578)Success in time 0.245 s
%------------------------------------------------------------------------------