TSTP Solution File: ARI221_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI221_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n015.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 15:47:40 EDT 2022

% Result   : Theorem 1.30s 0.52s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   4   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   24 (   8 atm;   1 fun;   7 num;   8 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   5   !;   3   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f107,plain,
    $false,
    inference(resolution,[],[f35,f16]) ).

tff(f16,plain,
    ! [X0: $rat] : ~ $less(9/16,X0),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $rat] : ~ $less(9/16,X0),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $rat] : $less(9/16,X0),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : $greater(X0,9/16),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : $greater(X0,9/16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_greater_problem_5) ).

tff(f35,plain,
    ! [X0: $rat] : $less(X0,9/16),
    inference(resolution,[],[f13,f16]) ).

tff(f13,plain,
    ! [X0: $rat,X1: $rat] :
      ( $less(X1,$sum(X0,1/1))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI221=1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n015.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   : Mon Aug 29 15:39:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.50  % (19089)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.21/0.51  % (19097)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.21/0.51  % (19099)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.21/0.51  % (19097)First to succeed.
% 0.21/0.52  % (19091)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.30/0.52  % (19097)Refutation found. Thanks to Tanya!
% 1.30/0.52  % SZS status Theorem for theBenchmark
% 1.30/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.52  % (19097)------------------------------
% 1.30/0.52  % (19097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52  % (19097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52  % (19097)Termination reason: Refutation
% 1.30/0.52  
% 1.30/0.52  % (19097)Memory used [KB]: 5500
% 1.30/0.52  % (19097)Time elapsed: 0.106 s
% 1.30/0.52  % (19097)Instructions burned: 6 (million)
% 1.30/0.52  % (19097)------------------------------
% 1.30/0.52  % (19097)------------------------------
% 1.30/0.52  % (19086)Success in time 0.165 s
%------------------------------------------------------------------------------