TSTP Solution File: SWV395+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV395+1 : TPTP v8.1.0. Released 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 18:56:42 EDT 2022

% Result   : Theorem 0.92s 0.62s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   39 (  11   ~;   0   |;  24   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   34 (  18   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f201,plain,
    $false,
    inference(subsumption_resolution,[],[f179,f175]) ).

fof(f175,plain,
    ! [X0,X1] : ~ pair_in_list(create_slb,X1,X0),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] : ~ pair_in_list(create_slb,X1,X0),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] : ~ pair_in_list(create_slb,X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).

fof(f179,plain,
    pair_in_list(create_slb,sK3,sK1),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ( strictly_less_than(sK3,sK1)
    & ok(remove_cpq(triple(sK0,create_slb,sK2),sK3))
    & ~ pair_in_list(remove_slb(create_slb,sK3),sK3,sK1)
    & pair_in_list(create_slb,sK3,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f130,f131]) ).

fof(f131,plain,
    ( ? [X0,X1,X2,X3] :
        ( strictly_less_than(X3,X1)
        & ok(remove_cpq(triple(X0,create_slb,X2),X3))
        & ~ pair_in_list(remove_slb(create_slb,X3),X3,X1)
        & pair_in_list(create_slb,X3,X1) )
   => ( strictly_less_than(sK3,sK1)
      & ok(remove_cpq(triple(sK0,create_slb,sK2),sK3))
      & ~ pair_in_list(remove_slb(create_slb,sK3),sK3,sK1)
      & pair_in_list(create_slb,sK3,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ? [X0,X1,X2,X3] :
      ( strictly_less_than(X3,X1)
      & ok(remove_cpq(triple(X0,create_slb,X2),X3))
      & ~ pair_in_list(remove_slb(create_slb,X3),X3,X1)
      & pair_in_list(create_slb,X3,X1) ),
    inference(rectify,[],[f101]) ).

fof(f101,plain,
    ? [X1,X2,X3,X0] :
      ( strictly_less_than(X0,X2)
      & ok(remove_cpq(triple(X1,create_slb,X3),X0))
      & ~ pair_in_list(remove_slb(create_slb,X0),X0,X2)
      & pair_in_list(create_slb,X0,X2) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ? [X2,X3,X0,X1] :
      ( ~ pair_in_list(remove_slb(create_slb,X0),X0,X2)
      & pair_in_list(create_slb,X0,X2)
      & strictly_less_than(X0,X2)
      & ok(remove_cpq(triple(X1,create_slb,X3),X0)) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ~ ! [X2,X3,X0,X1] :
        ( ( pair_in_list(create_slb,X0,X2)
          & strictly_less_than(X0,X2)
          & ok(remove_cpq(triple(X1,create_slb,X3),X0)) )
       => pair_in_list(remove_slb(create_slb,X0),X0,X2) ),
    inference(rectify,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X2,X0,X3,X1] :
        ( ( pair_in_list(create_slb,X2,X3)
          & strictly_less_than(X2,X3)
          & ok(remove_cpq(triple(X0,create_slb,X1),X2)) )
       => pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X2,X0,X3,X1] :
      ( ( pair_in_list(create_slb,X2,X3)
        & strictly_less_than(X2,X3)
        & ok(remove_cpq(triple(X0,create_slb,X1),X2)) )
     => pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l31_co) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWV395+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n019.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 19:24:50 EDT 2022
% 0.11/0.34  % CPUTime    : 
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% 0.92/0.61  % (23589)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 (2998ds/99Mi)
% 0.92/0.61  % (23581)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.92/0.61  % (23581)Instruction limit reached!
% 0.92/0.61  % (23581)------------------------------
% 0.92/0.61  % (23581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.92/0.61  % (23581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.92/0.61  % (23581)Termination reason: Unknown
% 0.92/0.61  % (23581)Termination phase: Property scanning
% 0.92/0.61  
% 0.92/0.61  % (23581)Memory used [KB]: 1023
% 0.92/0.61  % (23581)Time elapsed: 0.004 s
% 0.92/0.61  % (23581)Instructions burned: 3 (million)
% 0.92/0.61  % (23581)------------------------------
% 0.92/0.61  % (23581)------------------------------
% 0.92/0.62  % (23589)First to succeed.
% 0.92/0.62  % (23589)Refutation found. Thanks to Tanya!
% 0.92/0.62  % SZS status Theorem for theBenchmark
% 0.92/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 0.92/0.62  % (23589)------------------------------
% 0.92/0.62  % (23589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.92/0.62  % (23589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.92/0.62  % (23589)Termination reason: Refutation
% 0.92/0.62  
% 0.92/0.62  % (23589)Memory used [KB]: 5500
% 0.92/0.62  % (23589)Time elapsed: 0.064 s
% 0.92/0.62  % (23589)Instructions burned: 4 (million)
% 0.92/0.62  % (23589)------------------------------
% 0.92/0.62  % (23589)------------------------------
% 0.92/0.62  % (23439)Success in time 0.276 s
%------------------------------------------------------------------------------