TSTP Solution File: NUM343+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM343+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n022.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 18:04:06 EDT 2022

% Result   : Theorem 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   32 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  14   ~;   7   |;  11   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   14 (  12   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f905,plain,
    $false,
    inference(resolution,[],[f904,f673]) ).

fof(f673,plain,
    ! [X0] : less(X0,n1),
    inference(cnf_transformation,[],[f458]) ).

fof(f458,plain,
    ! [X0] :
      ( ~ sum(n21,X0,n21)
      & less(nn1,X0)
      & less(X0,n1) ),
    inference(flattening,[],[f457]) ).

fof(f457,plain,
    ! [X0] :
      ( ~ sum(n21,X0,n21)
      & less(X0,n1)
      & less(nn1,X0) ),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] :
        ( ( less(X0,n1)
          & less(nn1,X0) )
       => sum(n21,X0,n21) ),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] :
      ( ( less(X0,n1)
        & less(nn1,X0) )
     => sum(n21,X0,n21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_something_n0_samething) ).

fof(f904,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f642]) ).

fof(f642,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f482]) ).

fof(f482,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | less(X1,X0)
        | X0 = X1 )
      & ( ( ~ less(X1,X0)
          & X0 != X1 )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f481]) ).

fof(f481,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | less(X1,X0)
        | X0 = X1 )
      & ( ( ~ less(X1,X0)
          & X0 != X1 )
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f284]) ).

fof(f284,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( ~ less(X1,X0)
        & X0 != X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : NUM343+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 06:24:56 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (10274)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)
% 0.19/0.50  % (10266)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)
% 0.19/0.50  % (10257)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)
% 0.19/0.50  % (10258)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (10256)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51  % (10254)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)
% 0.19/0.51  % (10253)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)
% 0.19/0.51  % (10261)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (10258)Instruction limit reached!
% 0.19/0.51  % (10258)------------------------------
% 0.19/0.51  % (10258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (10255)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (10258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (10258)Termination reason: Unknown
% 0.19/0.51  % (10258)Termination phase: Property scanning
% 0.19/0.51  
% 0.19/0.51  % (10258)Memory used [KB]: 1279
% 0.19/0.51  % (10258)Time elapsed: 0.009 s
% 0.19/0.51  % (10258)Instructions burned: 9 (million)
% 0.19/0.51  % (10258)------------------------------
% 0.19/0.51  % (10258)------------------------------
% 0.19/0.52  % (10273)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52  % (10269)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (10251)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)
% 0.19/0.52  % (10252)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)
% 0.19/0.52  % (10266)First to succeed.
% 0.19/0.52  % (10274)Also succeeded, but the first one will report.
% 0.19/0.53  % (10266)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Theorem for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (10266)------------------------------
% 0.19/0.53  % (10266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (10266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (10266)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (10266)Memory used [KB]: 1663
% 0.19/0.53  % (10266)Time elapsed: 0.084 s
% 0.19/0.53  % (10266)Instructions burned: 23 (million)
% 0.19/0.53  % (10266)------------------------------
% 0.19/0.53  % (10266)------------------------------
% 0.19/0.53  % (10241)Success in time 0.183 s
%------------------------------------------------------------------------------