TSTP Solution File: COM021+4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COM021+4 : 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 : n002.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 15:53:49 EDT 2022

% Result   : Theorem 0.20s 0.61s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (   7 unt;   0 def)
%            Number of atoms       :  114 (  13 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  110 (  23   ~;  35   |;  49   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   14 (   3   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f619,plain,
    $false,
    inference(avatar_sat_refutation,[],[f389,f614,f616,f618]) ).

fof(f618,plain,
    ~ spl29_32,
    inference(avatar_contradiction_clause,[],[f617]) ).

fof(f617,plain,
    ( $false
    | ~ spl29_32 ),
    inference(resolution,[],[f388,f81]) ).

fof(f81,plain,
    ! [X0] : ~ aReductOfIn0(X0,xd,xR),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ( ( xw = xd
      | ( sdtmndtplgtdt0(xw,xR,xd)
        & ( aReductOfIn0(xd,xw,xR)
          | ? [X1] :
              ( aElement0(X1)
              & sdtmndtplgtdt0(X1,xR,xd)
              & aReductOfIn0(X1,xw,xR) ) ) ) )
    & aNormalFormOfIn0(xd,xw,xR)
    & ! [X0] : ~ aReductOfIn0(X0,xd,xR)
    & aElement0(xd)
    & sdtmndtasgtdt0(xw,xR,xd) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ( sdtmndtasgtdt0(xw,xR,xd)
    & ~ ? [X0] : aReductOfIn0(X0,xd,xR)
    & aElement0(xd)
    & aNormalFormOfIn0(xd,xw,xR)
    & ( xw = xd
      | ( sdtmndtplgtdt0(xw,xR,xd)
        & ( aReductOfIn0(xd,xw,xR)
          | ? [X1] :
              ( aElement0(X1)
              & sdtmndtplgtdt0(X1,xR,xd)
              & aReductOfIn0(X1,xw,xR) ) ) ) ) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ( aElement0(xd)
    & ~ ? [X0] : aReductOfIn0(X0,xd,xR)
    & ( xw = xd
      | ( sdtmndtplgtdt0(xw,xR,xd)
        & ( aReductOfIn0(xd,xw,xR)
          | ? [X0] :
              ( aElement0(X0)
              & sdtmndtplgtdt0(X0,xR,xd)
              & aReductOfIn0(X0,xw,xR) ) ) ) )
    & sdtmndtasgtdt0(xw,xR,xd)
    & aNormalFormOfIn0(xd,xw,xR) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).

fof(f388,plain,
    ( aReductOfIn0(sK22,xd,xR)
    | ~ spl29_32 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f386,plain,
    ( spl29_32
  <=> aReductOfIn0(sK22,xd,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_32])]) ).

fof(f616,plain,
    ~ spl29_31,
    inference(avatar_contradiction_clause,[],[f615]) ).

fof(f615,plain,
    ( $false
    | ~ spl29_31 ),
    inference(resolution,[],[f384,f81]) ).

fof(f384,plain,
    ( aReductOfIn0(xx,xd,xR)
    | ~ spl29_31 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f382,plain,
    ( spl29_31
  <=> aReductOfIn0(xx,xd,xR) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_31])]) ).

fof(f614,plain,
    ~ spl29_30,
    inference(avatar_contradiction_clause,[],[f613]) ).

fof(f613,plain,
    ( $false
    | ~ spl29_30 ),
    inference(resolution,[],[f608,f180]) ).

fof(f180,plain,
    ~ sdtmndtasgtdt0(xb,xR,xd),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ~ aReductOfIn0(xd,xb,xR)
    & ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xd)
        | ~ aReductOfIn0(X0,xb,xR)
        | ~ aElement0(X0) )
    & ~ sdtmndtasgtdt0(xb,xR,xd)
    & ~ sdtmndtplgtdt0(xb,xR,xd)
    & xb != xd ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ( sdtmndtasgtdt0(xb,xR,xd)
      | aReductOfIn0(xd,xb,xR)
      | ? [X0] :
          ( aReductOfIn0(X0,xb,xR)
          & aElement0(X0)
          & sdtmndtplgtdt0(X0,xR,xd) )
      | sdtmndtplgtdt0(xb,xR,xd)
      | xb = xd ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ( sdtmndtasgtdt0(xb,xR,xd)
    | aReductOfIn0(xd,xb,xR)
    | ? [X0] :
        ( aReductOfIn0(X0,xb,xR)
        & aElement0(X0)
        & sdtmndtplgtdt0(X0,xR,xd) )
    | sdtmndtplgtdt0(xb,xR,xd)
    | xb = xd ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f608,plain,
    ( sdtmndtasgtdt0(xb,xR,xd)
    | ~ spl29_30 ),
    inference(superposition,[],[f190,f380]) ).

fof(f380,plain,
    ( xd = xx
    | ~ spl29_30 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl29_30
  <=> xd = xx ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_30])]) ).

fof(f190,plain,
    sdtmndtasgtdt0(xb,xR,xx),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ( sdtmndtasgtdt0(xd,xR,xx)
    & ( xb = xx
      | ( ( aReductOfIn0(xx,xb,xR)
          | ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xx)
              & aElement0(X0)
              & aReductOfIn0(X0,xb,xR) ) )
        & sdtmndtplgtdt0(xb,xR,xx) ) )
    & aElement0(xx)
    & ( ( ( aReductOfIn0(xx,xd,xR)
          | ? [X1] :
              ( aReductOfIn0(X1,xd,xR)
              & aElement0(X1)
              & sdtmndtplgtdt0(X1,xR,xx) ) )
        & sdtmndtplgtdt0(xd,xR,xx) )
      | xd = xx )
    & sdtmndtasgtdt0(xb,xR,xx) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ( sdtmndtasgtdt0(xd,xR,xx)
    & ( xb = xx
      | ( ( aReductOfIn0(xx,xb,xR)
          | ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xx)
              & aElement0(X0)
              & aReductOfIn0(X0,xb,xR) ) )
        & sdtmndtplgtdt0(xb,xR,xx) ) )
    & ( xd = xx
      | ( sdtmndtplgtdt0(xd,xR,xx)
        & ( aReductOfIn0(xx,xd,xR)
          | ? [X0] :
              ( sdtmndtplgtdt0(X0,xR,xx)
              & aElement0(X0)
              & aReductOfIn0(X0,xd,xR) ) ) ) )
    & aElement0(xx)
    & sdtmndtasgtdt0(xb,xR,xx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).

fof(f389,plain,
    ( spl29_30
    | spl29_31
    | spl29_32 ),
    inference(avatar_split_clause,[],[f187,f386,f382,f378]) ).

fof(f187,plain,
    ( aReductOfIn0(sK22,xd,xR)
    | aReductOfIn0(xx,xd,xR)
    | xd = xx ),
    inference(cnf_transformation,[],[f34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : COM021+4 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 17:20:58 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.56  % (393)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)
% 0.20/0.56  % (392)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57  % (400)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57  % (385)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)
% 0.20/0.58  % (408)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)
% 0.20/0.58  % (386)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (390)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.58  % (390)Instruction limit reached!
% 0.20/0.58  % (390)------------------------------
% 0.20/0.58  % (390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (391)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)
% 0.20/0.59  % (394)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.59  % (395)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.60  % (402)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)
% 0.20/0.60  % (390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (390)Termination reason: Unknown
% 0.20/0.60  % (390)Termination phase: Naming
% 0.20/0.60  
% 0.20/0.60  % (390)Memory used [KB]: 895
% 0.20/0.60  % (390)Time elapsed: 0.003 s
% 0.20/0.60  % (390)Instructions burned: 2 (million)
% 0.20/0.60  % (390)------------------------------
% 0.20/0.60  % (390)------------------------------
% 0.20/0.60  % (405)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)
% 0.20/0.60  % (398)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)
% 0.20/0.60  % (393)First to succeed.
% 0.20/0.61  % (393)Refutation found. Thanks to Tanya!
% 0.20/0.61  % SZS status Theorem for theBenchmark
% 0.20/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61  % (393)------------------------------
% 0.20/0.61  % (393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (393)Termination reason: Refutation
% 0.20/0.61  
% 0.20/0.61  % (393)Memory used [KB]: 5884
% 0.20/0.61  % (393)Time elapsed: 0.166 s
% 0.20/0.61  % (393)Instructions burned: 15 (million)
% 0.20/0.61  % (393)------------------------------
% 0.20/0.61  % (393)------------------------------
% 0.20/0.61  % (381)Success in time 0.252 s
%------------------------------------------------------------------------------