TSTP Solution File: RNG050+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG050+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 18:15:32 EDT 2022

% Result   : Theorem 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   42 (  10 unt;   0 def)
%            Number of atoms       :   96 (  27 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   96 (  42   ~;  39   |;   3   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f636,plain,
    $false,
    inference(avatar_sat_refutation,[],[f195,f273,f290,f407,f591,f633]) ).

fof(f633,plain,
    ( ~ spl2_15
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f592,f588,f348]) ).

fof(f348,plain,
    ( spl2_15
  <=> sdtlseqdt0(sz0z00,sz0z00) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f588,plain,
    ( spl2_23
  <=> sz0z00 = sdtasasdt0(xs,xs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f592,plain,
    ( ~ sdtlseqdt0(sz0z00,sz0z00)
    | ~ spl2_23 ),
    inference(backward_demodulation,[],[f153,f590]) ).

fof(f590,plain,
    ( sz0z00 = sdtasasdt0(xs,xs)
    | ~ spl2_23 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f153,plain,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
    & ( sz00 = aDimensionOf0(xs)
      | sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,negated_conjecture,
    ~ ( ( sz00 != aDimensionOf0(xs)
       => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(negated_conjecture,[],[f39]) ).

fof(f39,conjecture,
    ( ( sz00 != aDimensionOf0(xs)
     => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) )
   => sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f591,plain,
    ( spl2_23
    | ~ spl2_7
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f586,f192,f258,f588]) ).

fof(f258,plain,
    ( spl2_7
  <=> aVector0(xs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f192,plain,
    ( spl2_2
  <=> sz00 = aDimensionOf0(xs) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f586,plain,
    ( ~ aVector0(xs)
    | sz0z00 = sdtasasdt0(xs,xs)
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f585]) ).

fof(f585,plain,
    ( sz0z00 = sdtasasdt0(xs,xs)
    | sz00 != sz00
    | ~ aVector0(xs)
    | ~ spl2_2 ),
    inference(superposition,[],[f328,f194]) ).

fof(f194,plain,
    ( sz00 = aDimensionOf0(xs)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f328,plain,
    ! [X0] :
      ( sz00 != aDimensionOf0(X0)
      | ~ aVector0(X0)
      | sz0z00 = sdtasasdt0(X0,X0) ),
    inference(duplicate_literal_removal,[],[f327]) ).

fof(f327,plain,
    ! [X0] :
      ( ~ aVector0(X0)
      | ~ aVector0(X0)
      | sz0z00 = sdtasasdt0(X0,X0)
      | sz00 != aDimensionOf0(X0) ),
    inference(equality_resolution,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( aDimensionOf0(X0) != aDimensionOf0(X1)
      | sz00 != aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1)
      | sz0z00 = sdtasasdt0(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X0)
      | ~ aVector0(X1)
      | sz00 != aDimensionOf0(X1) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X1,X0] :
      ( sz0z00 = sdtasasdt0(X0,X1)
      | sz00 != aDimensionOf0(X1)
      | aDimensionOf0(X0) != aDimensionOf0(X1)
      | ~ aVector0(X1)
      | ~ aVector0(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X1,X0] :
      ( ( aVector0(X1)
        & aVector0(X0) )
     => ( ( sz00 = aDimensionOf0(X1)
          & aDimensionOf0(X0) = aDimensionOf0(X1) )
       => sz0z00 = sdtasasdt0(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPZ) ).

fof(f407,plain,
    spl2_15,
    inference(avatar_contradiction_clause,[],[f406]) ).

fof(f406,plain,
    ( $false
    | spl2_15 ),
    inference(resolution,[],[f350,f215]) ).

fof(f215,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference(resolution,[],[f151,f180]) ).

fof(f180,plain,
    aScalar0(sz0z00),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).

fof(f151,plain,
    ! [X0] :
      ( ~ aScalar0(X0)
      | sdtlseqdt0(X0,X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).

fof(f350,plain,
    ( ~ sdtlseqdt0(sz0z00,sz0z00)
    | spl2_15 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f290,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f289,plain,
    ( $false
    | ~ spl2_1 ),
    inference(resolution,[],[f190,f153]) ).

fof(f190,plain,
    ( sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs))
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f188]) ).

fof(f188,plain,
    ( spl2_1
  <=> sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f273,plain,
    spl2_7,
    inference(avatar_contradiction_clause,[],[f272]) ).

fof(f272,plain,
    ( $false
    | spl2_7 ),
    inference(resolution,[],[f260,f139]) ).

fof(f139,plain,
    aVector0(xs),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    aVector0(xs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1542) ).

fof(f260,plain,
    ( ~ aVector0(xs)
    | spl2_7 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f195,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f152,f192,f188]) ).

fof(f152,plain,
    ( sz00 = aDimensionOf0(xs)
    | sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    inference(cnf_transformation,[],[f67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : RNG050+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 12:00:30 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.45  % (28673)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)
% 0.21/0.48  % (28664)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)
% 0.21/0.49  TRYING [1]
% 0.21/0.50  % (28687)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)
% 0.21/0.50  TRYING [2]
% 0.21/0.50  % (28678)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.50  TRYING [3]
% 0.21/0.52  % (28659)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)
% 0.21/0.53  % (28670)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53  % (28664)Instruction limit reached!
% 0.21/0.53  % (28664)------------------------------
% 0.21/0.53  % (28664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (28662)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (28681)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)
% 0.21/0.54  % (28687)First to succeed.
% 0.21/0.54  % (28661)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)
% 0.21/0.54  % (28672)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)
% 0.21/0.54  % (28658)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)
% 0.21/0.54  % (28660)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)
% 0.21/0.54  % (28669)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)
% 0.21/0.54  % (28665)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55  % (28666)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55  % (28675)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  % (28677)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)
% 0.21/0.55  % (28664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (28664)Termination reason: Unknown
% 0.21/0.55  % (28664)Termination phase: Finite model building constraint generation
% 0.21/0.55  
% 0.21/0.55  % (28664)Memory used [KB]: 8315
% 0.21/0.55  % (28664)Time elapsed: 0.141 s
% 0.21/0.55  % (28664)Instructions burned: 51 (million)
% 0.21/0.55  % (28664)------------------------------
% 0.21/0.55  % (28664)------------------------------
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [1]
% 0.21/0.55  TRYING [2]
% 0.21/0.55  TRYING [2]
% 0.21/0.55  % (28659)Also succeeded, but the first one will report.
% 0.21/0.55  % (28687)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Theorem for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (28687)------------------------------
% 0.21/0.55  % (28687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (28687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (28687)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (28687)Memory used [KB]: 5884
% 0.21/0.55  % (28687)Time elapsed: 0.148 s
% 0.21/0.55  % (28687)Instructions burned: 20 (million)
% 0.21/0.55  % (28687)------------------------------
% 0.21/0.55  % (28687)------------------------------
% 0.21/0.55  % (28657)Success in time 0.191 s
%------------------------------------------------------------------------------