TSTP Solution File: SWV075+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV075+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 : n028.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 18:55:24 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   55 (   2 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   60 (  23   ~;  15   |;  20   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f426,plain,
    $false,
    inference(subsumption_resolution,[],[f425,f314]) ).

fof(f314,plain,
    leq(n0,pv31),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( leq(n0,pv37)
    & leq(pv37,minus(n135300,n1))
    & leq(pv31,minus(n5,n1))
    & ( ~ leq(n0,pv37)
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(pv37,minus(n135300,n1))
      | ~ leq(n0,pv31) )
    & leq(n0,pv31) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ( ( ~ leq(n0,pv37)
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(pv37,minus(n135300,n1))
      | ~ leq(n0,pv31) )
    & leq(pv31,minus(n5,n1))
    & leq(pv37,minus(n135300,n1))
    & leq(n0,pv31)
    & leq(n0,pv37) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(pv31,minus(n5,n1))
        & leq(pv37,minus(n135300,n1))
        & leq(n0,pv31)
        & leq(n0,pv37) )
     => ( leq(pv37,minus(n135300,n1))
        & leq(n0,pv37)
        & leq(pv31,minus(n5,n1))
        & leq(n0,pv31) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv31,minus(n5,n1))
      & leq(pv37,minus(n135300,n1))
      & leq(n0,pv31)
      & leq(n0,pv37) )
   => ( leq(pv37,minus(n135300,n1))
      & leq(n0,pv37)
      & leq(pv31,minus(n5,n1))
      & leq(n0,pv31) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0016) ).

fof(f425,plain,
    ~ leq(n0,pv31),
    inference(subsumption_resolution,[],[f424,f410]) ).

fof(f410,plain,
    leq(pv31,sF32),
    inference(definition_folding,[],[f316,f409]) ).

fof(f409,plain,
    minus(n5,n1) = sF32,
    introduced(function_definition,[]) ).

fof(f316,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf_transformation,[],[f127]) ).

fof(f424,plain,
    ( ~ leq(pv31,sF32)
    | ~ leq(n0,pv31) ),
    inference(subsumption_resolution,[],[f423,f408]) ).

fof(f408,plain,
    leq(pv37,sF31),
    inference(definition_folding,[],[f317,f407]) ).

fof(f407,plain,
    minus(n135300,n1) = sF31,
    introduced(function_definition,[]) ).

fof(f317,plain,
    leq(pv37,minus(n135300,n1)),
    inference(cnf_transformation,[],[f127]) ).

fof(f423,plain,
    ( ~ leq(pv37,sF31)
    | ~ leq(pv31,sF32)
    | ~ leq(n0,pv31) ),
    inference(subsumption_resolution,[],[f411,f318]) ).

fof(f318,plain,
    leq(n0,pv37),
    inference(cnf_transformation,[],[f127]) ).

fof(f411,plain,
    ( ~ leq(n0,pv37)
    | ~ leq(pv31,sF32)
    | ~ leq(n0,pv31)
    | ~ leq(pv37,sF31) ),
    inference(definition_folding,[],[f315,f407,f409]) ).

fof(f315,plain,
    ( ~ leq(n0,pv37)
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(pv37,minus(n135300,n1))
    | ~ leq(n0,pv31) ),
    inference(cnf_transformation,[],[f127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV075+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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 19:08:19 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (23701)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (23709)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)
% 0.20/0.49  % (23694)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)
% 0.20/0.50  % (23698)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (23701)Instruction limit reached!
% 0.20/0.51  % (23701)------------------------------
% 0.20/0.51  % (23701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (23710)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)
% 0.20/0.51  % (23701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (23701)Termination reason: Unknown
% 0.20/0.51  % (23701)Termination phase: Function definition elimination
% 0.20/0.51  
% 0.20/0.51  % (23701)Memory used [KB]: 1151
% 0.20/0.51  % (23701)Time elapsed: 0.007 s
% 0.20/0.51  % (23701)Instructions burned: 7 (million)
% 0.20/0.51  % (23701)------------------------------
% 0.20/0.51  % (23701)------------------------------
% 0.20/0.51  % (23717)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)
% 0.20/0.51  % (23709)First to succeed.
% 0.20/0.52  % (23709)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (23709)------------------------------
% 0.20/0.52  % (23709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (23709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (23709)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (23709)Memory used [KB]: 1279
% 0.20/0.52  % (23709)Time elapsed: 0.015 s
% 0.20/0.52  % (23709)Instructions burned: 19 (million)
% 0.20/0.52  % (23709)------------------------------
% 0.20/0.52  % (23709)------------------------------
% 0.20/0.52  % (23693)Success in time 0.167 s
%------------------------------------------------------------------------------