%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI491_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 : 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 15:48:19 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   8 unt;   2 typ;   0 def)
%            Number of atoms       :   20 (  11 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   7   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   47 (   8 atm;   8 fun;  27 num;   4 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    :    7 (   2 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_7,type,
    sK0: $real ).

tff(func_def_8,type,
    sF1: $real ).

tff(f25,plain,
    $false,
    inference(evaluation,[],[f24]) ).

tff(f24,plain,
    ~ $less(7.5,7.7),
    inference(superposition,[],[f17,f23]) ).

tff(f23,plain,
    7.7 = sK0,
    inference(superposition,[],[f20,f21]) ).

tff(f21,plain,
    7.7 = sF1,
    inference(evaluation,[],[f19]) ).

tff(f19,plain,
    $sum(2.9,4.8) = sF1,
    introduced(function_definition,[]) ).

tff(f20,plain,
    sK0 = sF1,
    inference(definition_folding,[],[f18,f19]) ).

tff(f18,plain,
    $sum(2.9,4.8) = sK0,
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ( ( $sum(2.9,4.8) = sK0 )
    & ~ $less(7.5,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

tff(f15,plain,
    ( ? [X0: $real] :
        ( ( $sum(2.9,4.8) = X0 )
        & ~ $less(7.5,X0) )
   => ( ( $sum(2.9,4.8) = sK0 )
      & ~ $less(7.5,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f14,plain,
    ? [X0: $real] :
      ( ( $sum(2.9,4.8) = X0 )
      & ~ $less(7.5,X0) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $real] :
        ( ( $sum(2.9,4.8) = X0 )
       => $less(7.5,X0) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $real] :
      ( ( $sum(2.9,4.8) = X0 )
     => $less(7.5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_6) ).

tff(f17,plain,
    ~ $less(7.5,sK0),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI491=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 : n029.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 15:53:11 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (1659)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.49  % (1659)First to succeed.
% 0.20/0.49  % (1659)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Theorem for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (1659)------------------------------
% 0.20/0.49  % (1659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (1659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (1659)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (1659)Memory used [KB]: 5373
% 0.20/0.49  % (1659)Time elapsed: 0.096 s
% 0.20/0.49  % (1659)Instructions burned: 2 (million)
% 0.20/0.49  % (1659)------------------------------
% 0.20/0.49  % (1659)------------------------------
% 0.20/0.49  % (1646)Success in time 0.145 s
%------------------------------------------------------------------------------