TSTP Solution File: SWV211+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV211+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n001.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 18:44:30 EDT 2022

% Result   : Theorem 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :  398 ( 372 equ)
%            Maximal formula atoms :   78 (  30 avg)
%            Number of connectives :  636 ( 251   ~;  70   |; 309   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   47 (  18 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   12 (   8   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f364,plain,
    $false,
    inference(subsumption_resolution,[],[f279,f156]) ).

fof(f156,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).

fof(f279,plain,
    gt(sK1,sK1),
    inference(definition_unfolding,[],[f221,f198,f203]) ).

fof(f203,plain,
    n0 = sK1,
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ? [X0,X1] :
      ( leq(n0,X1)
      & ( n1 != X1
        | n3 != X0 )
      & ( n4 != X1
        | n5 != X0 )
      & ( n3 != X1
        | n0 != X0 )
      & ( n4 != X1
        | n2 != X0 )
      & ( n1 != X1
        | n1 != X0 )
      & ( n5 != X1
        | n5 != X0 )
      & ( n5 != X0
        | n3 != X1 )
      & ( n4 != X0
        | n4 != X1 )
      & ( n5 != X0
        | n2 != X1 )
      & ( n5 != X1
        | n2 != X0 )
      & ( n2 != X0
        | n2 != X1 )
      & ( n2 != X1
        | n0 != X0 )
      & ( n0 != X1
        | n5 != X0 )
      & ( n5 != X1
        | n0 != X0 )
      & ( n5 != X1
        | n3 != X0 )
      & ( n5 != X0
        | n1 != X1 )
      & ( n1 != X0
        | n2 != X1 )
      & leq(X0,n5)
      & ( n3 != X0
        | n3 != X1 )
      & ( n0 != X1
        | n4 != X0 )
      & ( n0 != X1
        | n1 != X0 )
      & ( n0 != X0
        | n4 != X1 )
      & ( n0 != X1
        | n3 != X0 )
      & ( n4 != X0
        | n5 != X1 )
      & n0 = X0
      & ( n1 != X0
        | n5 != X1 )
      & ( n4 != X1
        | n3 != X0 )
      & n0 = X1
      & ( n1 != X0
        | n3 != X1 )
      & n0 != times(divide(n1,n400),a_select2(sigma,n0))
      & leq(X1,n5)
      & ( n4 != X0
        | n1 != X1 )
      & ( n2 != X1
        | n4 != X0 )
      & ( n1 != X1
        | n0 != X0 )
      & ( n2 != X0
        | n1 != X1 )
      & ( n1 != X0
        | n4 != X1 )
      & leq(n0,X0)
      & ( n3 != X1
        | n2 != X0 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n2 != X0
        | n0 != X1 )
      & n1 = X0
      & ( n3 != X0
        | n2 != X1 ) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ? [X0,X1] :
      ( n0 != times(divide(n1,n400),a_select2(sigma,n0))
      & ( n5 != X1
        | n2 != X0 )
      & ( n4 != X1
        | n5 != X0 )
      & ( n2 != X0
        | n1 != X1 )
      & ( n0 != X0
        | n4 != X1 )
      & ( n3 != X0
        | n2 != X1 )
      & ( n4 != X1
        | n3 != X0 )
      & n0 = X1
      & ( n4 != X0
        | n4 != X1 )
      & ( n2 != X0
        | n0 != X1 )
      & n1 = X0
      & ( n4 != X0
        | n5 != X1 )
      & ( n4 != X0
        | n1 != X1 )
      & ( n5 != X1
        | n5 != X0 )
      & ( n3 != X1
        | n0 != X0 )
      & n0 = X0
      & ( n0 != X1
        | n4 != X0 )
      & ( n3 != X1
        | n2 != X0 )
      & ( n3 != X0
        | n3 != X1 )
      & ( n0 != X1
        | n5 != X0 )
      & ( n4 != X1
        | n2 != X0 )
      & ( n1 != X0
        | n5 != X1 )
      & ( n1 != X0
        | n2 != X1 )
      & ( n2 != X1
        | n4 != X0 )
      & ( n1 != X0
        | n3 != X1 )
      & ( n1 != X0
        | n4 != X1 )
      & ( n0 != X1
        | n3 != X0 )
      & ( n1 != X1
        | n3 != X0 )
      & ( n5 != X0
        | n3 != X1 )
      & ( n4 != X0
        | n3 != X1 )
      & ( n5 != X1
        | n0 != X0 )
      & ( n1 != X1
        | n0 != X0 )
      & ( n2 != X1
        | n0 != X0 )
      & ( n5 != X0
        | n1 != X1 )
      & ( n5 != X1
        | n3 != X0 )
      & ( n2 != X0
        | n2 != X1 )
      & ( n0 != X1
        | n1 != X0 )
      & ( n1 != X1
        | n1 != X0 )
      & ( n5 != X0
        | n2 != X1 )
      & leq(n0,X1)
      & leq(n0,X0)
      & leq(X0,n5)
      & leq(X1,n5) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ! [X0,X1] :
        ( ( leq(n0,X1)
          & leq(n0,X0)
          & leq(X0,n5)
          & leq(X1,n5) )
       => ( ( ~ ( n2 = X0
                & n5 = X1 )
            & ~ ( n4 = X1
                & n5 = X0 )
            & ~ ( n2 = X0
                & n1 = X1 )
            & ~ ( n4 = X1
                & n0 = X0 )
            & ~ ( n3 = X0
                & n2 = X1 )
            & ~ ( n3 = X0
                & n4 = X1 )
            & n0 = X1
            & ~ ( n4 = X1
                & n4 = X0 )
            & ~ ( n2 = X0
                & n0 = X1 )
            & n1 = X0
            & ~ ( n5 = X1
                & n4 = X0 )
            & ~ ( n4 = X0
                & n1 = X1 )
            & ~ ( n5 = X1
                & n5 = X0 )
            & ~ ( n3 = X1
                & n0 = X0 )
            & n0 = X0
            & ~ ( n4 = X0
                & n0 = X1 )
            & ~ ( n3 = X1
                & n2 = X0 )
            & ~ ( n3 = X1
                & n3 = X0 )
            & ~ ( n5 = X0
                & n0 = X1 )
            & ~ ( n2 = X0
                & n4 = X1 )
            & ~ ( n5 = X1
                & n1 = X0 )
            & ~ ( n2 = X1
                & n1 = X0 )
            & ~ ( n2 = X1
                & n4 = X0 )
            & ~ ( n1 = X0
                & n3 = X1 )
            & ~ ( n4 = X1
                & n1 = X0 )
            & ~ ( n3 = X0
                & n0 = X1 )
            & ~ ( n3 = X0
                & n1 = X1 )
            & ~ ( n3 = X1
                & n5 = X0 )
            & ~ ( n4 = X0
                & n3 = X1 )
            & ~ ( n0 = X0
                & n5 = X1 )
            & ~ ( n1 = X1
                & n0 = X0 )
            & ~ ( n0 = X0
                & n2 = X1 )
            & ~ ( n1 = X1
                & n5 = X0 )
            & ~ ( n5 = X1
                & n3 = X0 )
            & ~ ( n2 = X0
                & n2 = X1 )
            & ~ ( n1 = X0
                & n0 = X1 )
            & ~ ( n1 = X1
                & n1 = X0 )
            & ~ ( n5 = X0
                & n2 = X1 ) )
         => n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ! [X13,X17] :
        ( ( leq(X17,n5)
          & leq(n0,X13)
          & leq(n0,X17)
          & leq(X13,n5) )
       => ( ( ~ ( n5 = X13
                & n0 = X17 )
            & ~ ( n3 = X13
                & n0 = X17 )
            & ~ ( n2 = X17
                & n0 = X13 )
            & n1 = X13
            & ~ ( n5 = X17
                & n3 = X13 )
            & ~ ( n4 = X13
                & n3 = X17 )
            & n0 = X13
            & ~ ( n1 = X17
                & n4 = X13 )
            & ~ ( n3 = X17
                & n3 = X13 )
            & ~ ( n1 = X17
                & n5 = X13 )
            & ~ ( n5 = X13
                & n3 = X17 )
            & ~ ( n4 = X17
                & n0 = X13 )
            & ~ ( n1 = X17
                & n3 = X13 )
            & ~ ( n5 = X13
                & n5 = X17 )
            & ~ ( n2 = X17
                & n4 = X13 )
            & ~ ( n4 = X17
                & n4 = X13 )
            & n0 = X17
            & ~ ( n0 = X13
                & n5 = X17 )
            & ~ ( n4 = X17
                & n5 = X13 )
            & ~ ( n1 = X13
                & n5 = X17 )
            & ~ ( n1 = X13
                & n2 = X17 )
            & ~ ( n2 = X13
                & n2 = X17 )
            & ~ ( n0 = X13
                & n1 = X17 )
            & ~ ( n4 = X17
                & n2 = X13 )
            & ~ ( n1 = X13
                & n1 = X17 )
            & ~ ( n1 = X17
                & n2 = X13 )
            & ~ ( n2 = X17
                & n5 = X13 )
            & ~ ( n3 = X13
                & n2 = X17 )
            & ~ ( n4 = X13
                & n0 = X17 )
            & ~ ( n3 = X17
                & n0 = X13 )
            & ~ ( n2 = X13
                & n0 = X17 )
            & ~ ( n1 = X13
                & n3 = X17 )
            & ~ ( n4 = X13
                & n5 = X17 )
            & ~ ( n2 = X13
                & n5 = X17 )
            & ~ ( n1 = X13
                & n0 = X17 )
            & ~ ( n4 = X17
                & n1 = X13 )
            & ~ ( n3 = X17
                & n2 = X13 )
            & ~ ( n4 = X17
                & n3 = X13 ) )
         => n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ! [X13,X17] :
      ( ( leq(X17,n5)
        & leq(n0,X13)
        & leq(n0,X17)
        & leq(X13,n5) )
     => ( ( ~ ( n5 = X13
              & n0 = X17 )
          & ~ ( n3 = X13
              & n0 = X17 )
          & ~ ( n2 = X17
              & n0 = X13 )
          & n1 = X13
          & ~ ( n5 = X17
              & n3 = X13 )
          & ~ ( n4 = X13
              & n3 = X17 )
          & n0 = X13
          & ~ ( n1 = X17
              & n4 = X13 )
          & ~ ( n3 = X17
              & n3 = X13 )
          & ~ ( n1 = X17
              & n5 = X13 )
          & ~ ( n5 = X13
              & n3 = X17 )
          & ~ ( n4 = X17
              & n0 = X13 )
          & ~ ( n1 = X17
              & n3 = X13 )
          & ~ ( n5 = X13
              & n5 = X17 )
          & ~ ( n2 = X17
              & n4 = X13 )
          & ~ ( n4 = X17
              & n4 = X13 )
          & n0 = X17
          & ~ ( n0 = X13
              & n5 = X17 )
          & ~ ( n4 = X17
              & n5 = X13 )
          & ~ ( n1 = X13
              & n5 = X17 )
          & ~ ( n1 = X13
              & n2 = X17 )
          & ~ ( n2 = X13
              & n2 = X17 )
          & ~ ( n0 = X13
              & n1 = X17 )
          & ~ ( n4 = X17
              & n2 = X13 )
          & ~ ( n1 = X13
              & n1 = X17 )
          & ~ ( n1 = X17
              & n2 = X13 )
          & ~ ( n2 = X17
              & n5 = X13 )
          & ~ ( n3 = X13
              & n2 = X17 )
          & ~ ( n4 = X13
              & n0 = X17 )
          & ~ ( n3 = X17
              & n0 = X13 )
          & ~ ( n2 = X13
              & n0 = X17 )
          & ~ ( n1 = X13
              & n3 = X17 )
          & ~ ( n4 = X13
              & n5 = X17 )
          & ~ ( n2 = X13
              & n5 = X17 )
          & ~ ( n1 = X13
              & n0 = X17 )
          & ~ ( n4 = X17
              & n1 = X13 )
          & ~ ( n3 = X17
              & n2 = X13 )
          & ~ ( n4 = X17
              & n3 = X13 ) )
       => n0 = times(divide(n1,n400),a_select2(sigma,n0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0001) ).

fof(f198,plain,
    n1 = sK1,
    inference(cnf_transformation,[],[f121]) ).

fof(f221,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV211+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:27:47 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.53  % (5742)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)
% 0.19/0.53  % (5734)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (5723)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)
% 0.19/0.53  % (5724)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)
% 0.19/0.53  % (5744)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53  % (5721)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)
% 0.19/0.53  % (5734)Instruction limit reached!
% 0.19/0.53  % (5734)------------------------------
% 0.19/0.53  % (5734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (5734)Termination reason: Unknown
% 0.19/0.53  % (5734)Termination phase: Preprocessing 3
% 0.19/0.53  
% 0.19/0.53  % (5734)Memory used [KB]: 1535
% 0.19/0.53  % (5734)Time elapsed: 0.006 s
% 0.19/0.53  % (5734)Instructions burned: 3 (million)
% 0.19/0.53  % (5734)------------------------------
% 0.19/0.53  % (5734)------------------------------
% 0.19/0.54  % (5727)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)
% 0.19/0.54  % (5721)Instruction limit reached!
% 0.19/0.54  % (5721)------------------------------
% 0.19/0.54  % (5721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5736)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (5721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5721)Termination reason: Unknown
% 0.19/0.54  % (5721)Termination phase: Preprocessing 3
% 0.19/0.54  
% 0.19/0.54  % (5721)Memory used [KB]: 1663
% 0.19/0.54  % (5721)Time elapsed: 0.003 s
% 0.19/0.54  % (5721)Instructions burned: 5 (million)
% 0.19/0.54  % (5721)------------------------------
% 0.19/0.54  % (5721)------------------------------
% 0.19/0.54  % (5725)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)
% 0.19/0.54  % (5747)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)
% 0.19/0.54  % (5727)First to succeed.
% 0.19/0.54  % (5743)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)
% 0.19/0.54  % (5722)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)
% 0.19/0.54  % (5725)Also succeeded, but the first one will report.
% 0.19/0.54  % (5727)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Theorem for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (5727)------------------------------
% 0.19/0.54  % (5727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (5727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5727)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (5727)Memory used [KB]: 6140
% 0.19/0.54  % (5727)Time elapsed: 0.008 s
% 0.19/0.54  % (5727)Instructions burned: 6 (million)
% 0.19/0.54  % (5727)------------------------------
% 0.19/0.54  % (5727)------------------------------
% 0.19/0.54  % (5717)Success in time 0.192 s
%------------------------------------------------------------------------------