TSTP Solution File: ARI193_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI193_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_uns --cores 0 -t %d %s

% Computer : n029.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 15:45:37 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   3   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   46 (  13 atm;   7 fun;  13 num;  13 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    :    6 (   0 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (  11   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f51,plain,
    $false,
    inference(evaluation,[],[f49]) ).

tff(f49,plain,
    $less(9/16,0/1),
    inference(resolution,[],[f47,f15]) ).

tff(f15,plain,
    ! [X0: $rat] : ~ $less(X0,9/16),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat] : ~ $less(X0,9/16),
    inference(ennf_transformation,[],[f2]) ).

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

tff(f1,conjecture,
    ? [X0: $rat] : $less(X0,9/16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_less_problem_4) ).

tff(f47,plain,
    ! [X1: $rat] :
      ( $less(X1,0/1)
      | $less(-1/1,X1) ),
    inference(evaluation,[],[f44]) ).

tff(f44,plain,
    ! [X1: $rat] :
      ( $less($uminus(1/1),X1)
      | $less(X1,0/1) ),
    inference(superposition,[],[f30,f7]) ).

tff(f7,plain,
    ! [X0: $rat] : ( $sum(X0,$uminus(X0)) = 0/1 ),
    introduced(theory_axiom_145,[]) ).

tff(f30,plain,
    ! [X2: $rat,X3: $rat] :
      ( $less(X3,$sum(1/1,X2))
      | $less(X2,X3) ),
    inference(superposition,[],[f12,f3]) ).

tff(f3,plain,
    ! [X0: $rat,X1: $rat] : ( $sum(X1,X0) = $sum(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f12,plain,
    ! [X0: $rat,X1: $rat] :
      ( $less(X1,$sum(X0,1/1))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : ARI193=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34  % CPULimit   : 300
% 0.19/0.34  % WCLimit    : 300
% 0.19/0.34  % DateTime   : Mon Aug 29 20:29:41 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 0.19/0.45  % (31311)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.19/0.47  % (31328)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.47  % (31320)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/26Mi)
% 0.19/0.48  % (31328)Refutation not found, incomplete strategy% (31328)------------------------------
% 0.19/0.48  % (31328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (31328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (31328)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48  
% 0.19/0.48  % (31328)Memory used [KB]: 5373
% 0.19/0.48  % (31328)Time elapsed: 0.098 s
% 0.19/0.48  % (31328)Instructions burned: 1 (million)
% 0.19/0.48  % (31328)------------------------------
% 0.19/0.48  % (31328)------------------------------
% 0.19/0.49  % (31337)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/47Mi)
% 0.19/0.49  % (31323)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.19/0.49  % (31337)First to succeed.
% 0.19/0.50  % (31337)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (31337)------------------------------
% 0.19/0.50  % (31337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (31337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (31337)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (31337)Memory used [KB]: 1023
% 0.19/0.50  % (31337)Time elapsed: 0.105 s
% 0.19/0.50  % (31337)Instructions burned: 2 (million)
% 0.19/0.50  % (31337)------------------------------
% 0.19/0.50  % (31337)------------------------------
% 0.19/0.50  % (31308)Success in time 0.15 s
%------------------------------------------------------------------------------