TSTP Solution File: COM144+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% 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 : n009.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 15:53:25 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   8 unt;   0 def)
%            Number of atoms       :   55 (  36 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   54 (  22   ~;   9   |;  15   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :   75 (  55   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f617,plain,
    $false,
    inference(trivial_inequality_removal,[],[f616]) ).

fof(f616,plain,
    vnoExp != vnoExp,
    inference(superposition,[],[f610,f535]) ).

fof(f535,plain,
    ! [X3,X0,X1] : vnoExp = vreduce(vabs(X1,X0,X3)),
    inference(equality_resolution,[],[f534]) ).

fof(f534,plain,
    ! [X3,X0,X1,X4] :
      ( vnoExp = vreduce(X4)
      | vabs(X1,X0,X3) != X4 ),
    inference(equality_resolution,[],[f396]) ).

fof(f396,plain,
    ! [X2,X3,X0,X1,X4] :
      ( vreduce(X4) != X2
      | vnoExp = X2
      | vabs(X1,X0,X3) != X4 ),
    inference(cnf_transformation,[],[f267]) ).

fof(f267,plain,
    ! [X0,X1,X2,X3,X4] :
      ( vreduce(X4) != X2
      | vnoExp = X2
      | vabs(X1,X0,X3) != X4 ),
    inference(rectify,[],[f142]) ).

fof(f142,plain,
    ! [X0,X3,X1,X2,X4] :
      ( vreduce(X4) != X1
      | vnoExp = X1
      | vabs(X3,X0,X2) != X4 ),
    inference(flattening,[],[f141]) ).

fof(f141,plain,
    ! [X0,X2,X3,X1,X4] :
      ( vnoExp = X1
      | vreduce(X4) != X1
      | vabs(X3,X0,X2) != X4 ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X2,X3,X1,X4] :
      ( vabs(X3,X0,X2) = X4
     => ( vreduce(X4) = X1
       => vnoExp = X1 ) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X9,X18,X10,X8,X3] :
      ( vabs(X8,X9,X10) = X3
     => ( vreduce(X3) = X18
       => vnoExp = X18 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduce1) ).

fof(f610,plain,
    vnoExp != vreduce(vabs(sK44,sK46,ve1)),
    inference(superposition,[],[f434,f383]) ).

fof(f383,plain,
    vsomeExp(sK43) = vreduce(vabs(sK44,sK46,ve1)),
    inference(cnf_transformation,[],[f260]) ).

fof(f260,plain,
    ( ~ vtcheck(sK42,sK43,sK45)
    & vsomeExp(sK43) = vreduce(vabs(sK44,sK46,ve1))
    & vtcheck(sK42,vabs(sK44,sK46,ve1),sK45) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43,sK44,sK45,sK46])],[f258,f259]) ).

fof(f259,plain,
    ( ? [X0,X1,X2,X3,X4] :
        ( ~ vtcheck(X0,X1,X3)
        & vreduce(vabs(X2,X4,ve1)) = vsomeExp(X1)
        & vtcheck(X0,vabs(X2,X4,ve1),X3) )
   => ( ~ vtcheck(sK42,sK43,sK45)
      & vsomeExp(sK43) = vreduce(vabs(sK44,sK46,ve1))
      & vtcheck(sK42,vabs(sK44,sK46,ve1),sK45) ) ),
    introduced(choice_axiom,[]) ).

fof(f258,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ vtcheck(X0,X1,X3)
      & vreduce(vabs(X2,X4,ve1)) = vsomeExp(X1)
      & vtcheck(X0,vabs(X2,X4,ve1),X3) ),
    inference(rectify,[],[f147]) ).

fof(f147,plain,
    ? [X1,X4,X0,X3,X2] :
      ( ~ vtcheck(X1,X4,X3)
      & vreduce(vabs(X0,X2,ve1)) = vsomeExp(X4)
      & vtcheck(X1,vabs(X0,X2,ve1),X3) ),
    inference(flattening,[],[f146]) ).

fof(f146,plain,
    ? [X1,X0,X2,X3,X4] :
      ( ~ vtcheck(X1,X4,X3)
      & vtcheck(X1,vabs(X0,X2,ve1),X3)
      & vreduce(vabs(X0,X2,ve1)) = vsomeExp(X4) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,plain,
    ~ ! [X1,X0,X2,X3,X4] :
        ( ( vtcheck(X1,vabs(X0,X2,ve1),X3)
          & vreduce(vabs(X0,X2,ve1)) = vsomeExp(X4) )
       => vtcheck(X1,X4,X3) ),
    inference(rectify,[],[f61]) ).

fof(f61,negated_conjecture,
    ~ ! [X8,X19,X9,X14,X34] :
        ( ( vsomeExp(X34) = vreduce(vabs(X8,X9,ve1))
          & vtcheck(X19,vabs(X8,X9,ve1),X14) )
       => vtcheck(X19,X34,X14) ),
    inference(negated_conjecture,[],[f60]) ).

fof(f60,conjecture,
    ! [X8,X19,X9,X14,X34] :
      ( ( vsomeExp(X34) = vreduce(vabs(X8,X9,ve1))
        & vtcheck(X19,vabs(X8,X9,ve1),X14) )
     => vtcheck(X19,X34,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Preservation-T-abs') ).

fof(f434,plain,
    ! [X0] : vnoExp != vsomeExp(X0),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] : vnoExp != vsomeExp(X0),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X3] : vnoExp != vsomeExp(X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noExp-someExp') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 17:26:50 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.43  % (6804)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)
% 0.19/0.44  % (6804)Instruction limit reached!
% 0.19/0.44  % (6804)------------------------------
% 0.19/0.44  % (6804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.44  % (6820)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.44  % (6804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.44  % (6804)Termination reason: Unknown
% 0.19/0.44  % (6804)Termination phase: Preprocessing 3
% 0.19/0.44  
% 0.19/0.44  % (6804)Memory used [KB]: 1663
% 0.19/0.44  % (6804)Time elapsed: 0.003 s
% 0.19/0.44  % (6804)Instructions burned: 4 (million)
% 0.19/0.44  % (6804)------------------------------
% 0.19/0.44  % (6804)------------------------------
% 0.19/0.45  % (6820)Instruction limit reached!
% 0.19/0.45  % (6820)------------------------------
% 0.19/0.45  % (6820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (6812)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)
% 0.19/0.45  % (6820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (6820)Termination reason: Unknown
% 0.19/0.45  % (6820)Termination phase: Preprocessing 2
% 0.19/0.45  
% 0.19/0.45  % (6820)Memory used [KB]: 1535
% 0.19/0.45  % (6820)Time elapsed: 0.003 s
% 0.19/0.45  % (6820)Instructions burned: 3 (million)
% 0.19/0.45  % (6820)------------------------------
% 0.19/0.45  % (6820)------------------------------
% 0.19/0.45  % (6812)Refutation not found, incomplete strategy% (6812)------------------------------
% 0.19/0.45  % (6812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.45  % (6812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.45  % (6812)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.45  
% 0.19/0.45  % (6812)Memory used [KB]: 6140
% 0.19/0.45  % (6812)Time elapsed: 0.084 s
% 0.19/0.45  % (6812)Instructions burned: 5 (million)
% 0.19/0.45  % (6812)------------------------------
% 0.19/0.45  % (6812)------------------------------
% 0.19/0.46  % (6806)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)
% 0.19/0.46  % (6806)Refutation not found, incomplete strategy% (6806)------------------------------
% 0.19/0.46  % (6806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (6806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (6806)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.46  
% 0.19/0.46  % (6806)Memory used [KB]: 6012
% 0.19/0.46  % (6806)Time elapsed: 0.090 s
% 0.19/0.46  % (6806)Instructions burned: 3 (million)
% 0.19/0.46  % (6806)------------------------------
% 0.19/0.46  % (6806)------------------------------
% 0.19/0.47  % (6822)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.48  % (6814)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.49  % (6830)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)
% 0.19/0.49  % (6815)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (6830)First to succeed.
% 0.19/0.49  % (6830)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (6830)------------------------------
% 0.19/0.49  % (6830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (6830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (6830)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (6830)Memory used [KB]: 6396
% 0.19/0.49  % (6830)Time elapsed: 0.120 s
% 0.19/0.49  % (6830)Instructions burned: 13 (million)
% 0.19/0.49  % (6830)------------------------------
% 0.19/0.49  % (6830)------------------------------
% 0.19/0.49  % (6798)Success in time 0.155 s
%------------------------------------------------------------------------------