TSTP Solution File: SWV076+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV076+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 : n019.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 18:55:25 EDT 2022

% Result   : Theorem 1.30s 0.53s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   26 (   1 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   24 (  10   ~;   4   |;   8   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f434,plain,
    $false,
    inference(subsumption_resolution,[],[f343,f425]) ).

fof(f425,plain,
    ~ leq(n0,pv31),
    inference(subsumption_resolution,[],[f421,f420]) ).

fof(f420,plain,
    leq(pv31,sF31),
    inference(definition_folding,[],[f342,f419]) ).

fof(f419,plain,
    minus(n5,n1) = sF31,
    introduced(function_definition,[]) ).

fof(f342,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ( leq(n0,pv31)
    & leq(pv31,minus(n5,n1))
    & ( ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1)) ) ),
    inference(flattening,[],[f167]) ).

fof(f167,plain,
    ( ( ~ leq(n0,pv31)
      | ~ leq(pv31,minus(n5,n1)) )
    & leq(n0,pv31)
    & leq(pv31,minus(n5,n1)) ),
    inference(ennf_transformation,[],[f54]) ).

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

fof(f53,conjecture,
    ( ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1)) )
   => ( leq(n0,pv31)
      & leq(pv31,minus(n5,n1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0017) ).

fof(f421,plain,
    ( ~ leq(n0,pv31)
    | ~ leq(pv31,sF31) ),
    inference(definition_folding,[],[f341,f419]) ).

fof(f341,plain,
    ( ~ leq(n0,pv31)
    | ~ leq(pv31,minus(n5,n1)) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f343,plain,
    leq(n0,pv31),
    inference(cnf_transformation,[],[f168]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV076+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
% 0.13/0.34  % Computer : n019.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 19:02:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (17587)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50  % (17587)Instruction limit reached!
% 0.20/0.50  % (17587)------------------------------
% 0.20/0.50  % (17587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (17598)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (17587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (17587)Termination reason: Unknown
% 0.20/0.51  % (17587)Termination phase: Preprocessing 3
% 0.20/0.51  
% 0.20/0.51  % (17587)Memory used [KB]: 1023
% 0.20/0.51  % (17587)Time elapsed: 0.003 s
% 0.20/0.51  % (17587)Instructions burned: 3 (million)
% 0.20/0.51  % (17587)------------------------------
% 0.20/0.51  % (17587)------------------------------
% 0.20/0.51  % (17607)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51  % (17590)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)
% 0.20/0.51  % (17589)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.52  % (17582)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)
% 1.30/0.52  % (17602)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)
% 1.30/0.52  % (17591)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.30/0.52  % (17607)First to succeed.
% 1.30/0.52  % (17600)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.30/0.53  % (17607)Refutation found. Thanks to Tanya!
% 1.30/0.53  % SZS status Theorem for theBenchmark
% 1.30/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.53  % (17607)------------------------------
% 1.30/0.53  % (17607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53  % (17607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53  % (17607)Termination reason: Refutation
% 1.30/0.53  
% 1.30/0.53  % (17607)Memory used [KB]: 5756
% 1.30/0.53  % (17607)Time elapsed: 0.018 s
% 1.30/0.53  % (17607)Instructions burned: 13 (million)
% 1.30/0.53  % (17607)------------------------------
% 1.30/0.53  % (17607)------------------------------
% 1.30/0.53  % (17578)Success in time 0.175 s
%------------------------------------------------------------------------------