TSTP Solution File: ARI356_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI356_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 : 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 15:45:57 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   12 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   35 (  10 atm;   4 fun;  10 num;  11 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   9   !;   2   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ0_eqProxy: ( $real * $real ) > $o ).

tff(f31,plain,
    $false,
    inference(resolution,[],[f29,f8]) ).

tff(f8,plain,
    ! [X0: $real] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f29,plain,
    ! [X1: $real] : $less(-32501.0,X1),
    inference(evaluation,[],[f28]) ).

tff(f28,plain,
    ! [X1: $real] : $less($sum(-32500.0,$uminus(1.0)),X1),
    inference(gaussian_variable_elimination,[],[f26]) ).

tff(f26,plain,
    ! [X0: $real,X1: $real] :
      ( ( -32500.0 != $sum(X0,1.0) )
      | $less(X0,X1) ),
    inference(constrained_resolution,[],[f12,f15]) ).

tff(f15,plain,
    ! [X0: $real] : ~ $less(X0,-32500.0),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $real] : ~ $less(X0,-32500.0),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : $less(X0,-32500.0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $real] : $less(X0,-32500.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_less_problem_12) ).

tff(f12,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X1,$sum(X0,1.0))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI356=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:38:35 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  % (13615)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)
% 0.18/0.48  % (13615)Instruction limit reached!
% 0.18/0.48  % (13615)------------------------------
% 0.18/0.48  % (13615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (13608)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.18/0.48  % (13608)Refutation not found, incomplete strategy% (13608)------------------------------
% 0.18/0.48  % (13608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (13608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (13608)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48  
% 0.18/0.48  % (13608)Memory used [KB]: 5373
% 0.18/0.48  % (13608)Time elapsed: 0.080 s
% 0.18/0.48  % (13608)Instructions burned: 2 (million)
% 0.18/0.48  % (13608)------------------------------
% 0.18/0.48  % (13608)------------------------------
% 0.18/0.48  % (13615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (13615)Termination reason: Unknown
% 0.18/0.48  % (13615)Termination phase: Saturation
% 0.18/0.48  
% 0.18/0.48  % (13615)Memory used [KB]: 5628
% 0.18/0.48  % (13615)Time elapsed: 0.082 s
% 0.18/0.48  % (13615)Instructions burned: 27 (million)
% 0.18/0.48  % (13615)------------------------------
% 0.18/0.48  % (13615)------------------------------
% 0.18/0.50  % (13611)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.18/0.50  % (13616)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.50  % (13616)First to succeed.
% 0.18/0.51  % (13616)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Theorem for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (13616)------------------------------
% 0.18/0.51  % (13616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (13616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (13616)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (13616)Memory used [KB]: 5373
% 0.18/0.51  % (13616)Time elapsed: 0.101 s
% 0.18/0.51  % (13616)Instructions burned: 1 (million)
% 0.18/0.51  % (13616)------------------------------
% 0.18/0.51  % (13616)------------------------------
% 0.18/0.51  % (13606)Success in time 0.163 s
%------------------------------------------------------------------------------