TSTP Solution File: SWV132+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV132+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 : n017.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 18:55:36 EDT 2022

% Result   : Theorem 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :  117 (   0 equ)
%            Maximal formula atoms :   26 (   9 avg)
%            Number of connectives :  139 (  35   ~;  26   |;  50   &)
%                                         (   2 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f532,plain,
    $false,
    inference(avatar_sat_refutation,[],[f504,f527,f530]) ).

fof(f530,plain,
    ~ spl61_3,
    inference(avatar_split_clause,[],[f301,f496]) ).

fof(f496,plain,
    ( spl61_3
  <=> leq(tptp_float_0_001,pv1341) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_3])]) ).

fof(f301,plain,
    ~ leq(tptp_float_0_001,pv1341),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ( ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3) )
    & ( leq(s_best7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_best7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ~ leq(s_best7,n3)
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_worst7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_worst7) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7) )
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_worst7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3) )
    & ~ leq(tptp_float_0_001,pv1341) ),
    inference(flattening,[],[f135]) ).

fof(f135,plain,
    ( ~ leq(s_best7,n3)
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_worst7) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_worst7,n3) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ~ leq(tptp_float_0_001,pv1341)
    & ( leq(n0,s_best7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_worst7) )
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_best7,n3)
      | ~ gt(loopcounter,n0) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(s_worst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ~ leq(tptp_float_0_001,pv1341)
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) ) )
     => leq(s_best7,n3) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ~ leq(tptp_float_0_001,pv1341)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) ) )
   => leq(s_best7,n3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0002) ).

fof(f527,plain,
    ~ spl61_4,
    inference(avatar_split_clause,[],[f308,f501]) ).

fof(f501,plain,
    ( spl61_4
  <=> leq(s_best7,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl61_4])]) ).

fof(f308,plain,
    ~ leq(s_best7,n3),
    inference(cnf_transformation,[],[f136]) ).

fof(f504,plain,
    ( spl61_3
    | spl61_4 ),
    inference(avatar_split_clause,[],[f314,f501,f496]) ).

fof(f314,plain,
    ( leq(s_best7,n3)
    | leq(tptp_float_0_001,pv1341) ),
    inference(cnf_transformation,[],[f136]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SWV132+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32  % Computer : n017.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 18:26:50 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.48  % (14382)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.48  % (14389)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)
% 0.16/0.48  % (14381)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49  % (14390)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)
% 0.16/0.49  % (14381)Instruction limit reached!
% 0.16/0.49  % (14381)------------------------------
% 0.16/0.49  % (14381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (14390)First to succeed.
% 0.16/0.49  % (14382)Instruction limit reached!
% 0.16/0.49  % (14382)------------------------------
% 0.16/0.49  % (14382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (14382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (14382)Termination reason: Unknown
% 0.16/0.49  % (14382)Termination phase: Unused predicate definition removal
% 0.16/0.49  
% 0.16/0.49  % (14382)Memory used [KB]: 1023
% 0.16/0.49  % (14382)Time elapsed: 0.004 s
% 0.16/0.49  % (14382)Instructions burned: 2 (million)
% 0.16/0.49  % (14382)------------------------------
% 0.16/0.49  % (14382)------------------------------
% 0.16/0.50  % (14381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (14381)Termination reason: Unknown
% 0.16/0.50  % (14381)Termination phase: Property scanning
% 0.16/0.50  
% 0.16/0.50  % (14381)Memory used [KB]: 1151
% 0.16/0.50  % (14381)Time elapsed: 0.008 s
% 0.16/0.50  % (14381)Instructions burned: 7 (million)
% 0.16/0.50  % (14381)------------------------------
% 0.16/0.50  % (14381)------------------------------
% 0.16/0.50  % (14390)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Theorem for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (14390)------------------------------
% 0.16/0.50  % (14390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (14390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (14390)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (14390)Memory used [KB]: 5756
% 0.16/0.50  % (14390)Time elapsed: 0.011 s
% 0.16/0.50  % (14390)Instructions burned: 13 (million)
% 0.16/0.50  % (14390)------------------------------
% 0.16/0.50  % (14390)------------------------------
% 0.16/0.50  % (14373)Success in time 0.173 s
%------------------------------------------------------------------------------