TSTP Solution File: SWV066+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV066+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_sat --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 18:55:23 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   53 (  19   ~;  12   |;  20   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f430,plain,
    $false,
    inference(subsumption_resolution,[],[f429,f305]) ).

fof(f305,plain,
    leq(n0,pv10),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ( leq(n0,pv10)
    & leq(pv53,minus(n5,n1))
    & leq(n0,pv53)
    & leq(pv10,minus(n135300,n1))
    & ( ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv53)
      | ~ leq(pv53,minus(n5,n1))
      | ~ leq(n0,pv10) ) ),
    inference(flattening,[],[f123]) ).

fof(f123,plain,
    ( ( ~ leq(pv10,minus(n135300,n1))
      | ~ leq(n0,pv53)
      | ~ leq(pv53,minus(n5,n1))
      | ~ leq(n0,pv10) )
    & leq(pv10,minus(n135300,n1))
    & leq(n0,pv10)
    & leq(pv53,minus(n5,n1))
    & leq(n0,pv53) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(pv10,minus(n135300,n1))
        & leq(n0,pv10)
        & leq(pv53,minus(n5,n1))
        & leq(n0,pv53) )
     => ( leq(n0,pv53)
        & leq(pv10,minus(n135300,n1))
        & leq(n0,pv10)
        & leq(pv53,minus(n5,n1)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv10,minus(n135300,n1))
      & leq(n0,pv10)
      & leq(pv53,minus(n5,n1))
      & leq(n0,pv53) )
   => ( leq(n0,pv53)
      & leq(pv10,minus(n135300,n1))
      & leq(n0,pv10)
      & leq(pv53,minus(n5,n1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0007) ).

fof(f429,plain,
    ~ leq(n0,pv10),
    inference(subsumption_resolution,[],[f428,f304]) ).

fof(f304,plain,
    leq(pv53,minus(n5,n1)),
    inference(cnf_transformation,[],[f124]) ).

fof(f428,plain,
    ( ~ leq(pv53,minus(n5,n1))
    | ~ leq(n0,pv10) ),
    inference(subsumption_resolution,[],[f427,f303]) ).

fof(f303,plain,
    leq(n0,pv53),
    inference(cnf_transformation,[],[f124]) ).

fof(f427,plain,
    ( ~ leq(n0,pv53)
    | ~ leq(n0,pv10)
    | ~ leq(pv53,minus(n5,n1)) ),
    inference(subsumption_resolution,[],[f301,f302]) ).

fof(f302,plain,
    leq(pv10,minus(n135300,n1)),
    inference(cnf_transformation,[],[f124]) ).

fof(f301,plain,
    ( ~ leq(pv10,minus(n135300,n1))
    | ~ leq(n0,pv53)
    | ~ leq(n0,pv10)
    | ~ leq(pv53,minus(n5,n1)) ),
    inference(cnf_transformation,[],[f124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV066+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n001.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:19:02 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.21/0.51  % (23867)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)
% 0.21/0.51  % (23857)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51  % (23859)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)
% 0.21/0.51  % (23869)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.51  % (23856)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)
% 0.21/0.52  % (23851)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)
% 0.21/0.52  % (23867)First to succeed.
% 0.21/0.52  % (23861)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)
% 0.21/0.53  % (23867)Refutation found. Thanks to Tanya!
% 0.21/0.53  % SZS status Theorem for theBenchmark
% 0.21/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (23867)------------------------------
% 0.21/0.53  % (23867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (23867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (23867)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (23867)Memory used [KB]: 1151
% 0.21/0.53  % (23867)Time elapsed: 0.066 s
% 0.21/0.53  % (23867)Instructions burned: 10 (million)
% 0.21/0.53  % (23867)------------------------------
% 0.21/0.53  % (23867)------------------------------
% 0.21/0.53  % (23844)Success in time 0.176 s
%------------------------------------------------------------------------------