TSTP Solution File: ARI529_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI529_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 : n009.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 15:48:24 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  22 unt;   5 typ;   0 def)
%            Number of atoms       :   22 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   76 (   8 atm;  31 fun;  37 num;   0 var)
%            Number of types       :    2 (   0 usr;   2 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (   5 usr;  14 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_16,type,
    sF0: $real ).

tff(func_def_17,type,
    sF1: $real ).

tff(func_def_18,type,
    sF2: $int ).

tff(func_def_19,type,
    sF3: $int ).

tff(func_def_20,type,
    sF4: $int ).

tff(f52,plain,
    $false,
    inference(evaluation,[],[f51]) ).

tff(f51,plain,
    ~ $less(9,10),
    inference(superposition,[],[f46,f50]) ).

tff(f50,plain,
    sF2 = 9,
    inference(evaluation,[],[f49]) ).

tff(f49,plain,
    sF2 = $to_int(9.9999),
    inference(superposition,[],[f38,f48]) ).

tff(f48,plain,
    9.9999 = sF1,
    inference(evaluation,[],[f47]) ).

tff(f47,plain,
    $sum(10.0,-0.0001) = sF1,
    inference(superposition,[],[f37,f42]) ).

tff(f42,plain,
    sF0 = -0.0001,
    inference(evaluation,[],[f36]) ).

tff(f36,plain,
    $uminus(0.0001) = sF0,
    introduced(function_definition,[]) ).

tff(f37,plain,
    $sum(10.0,sF0) = sF1,
    introduced(function_definition,[]) ).

tff(f38,plain,
    $to_int(sF1) = sF2,
    introduced(function_definition,[]) ).

tff(f46,plain,
    ~ $less(sF2,10),
    inference(forward_demodulation,[],[f41,f45]) ).

tff(f45,plain,
    sF4 = 10,
    inference(evaluation,[],[f44]) ).

tff(f44,plain,
    sF4 = $product(5,2),
    inference(forward_demodulation,[],[f40,f43]) ).

tff(f43,plain,
    5 = sF3,
    inference(evaluation,[],[f39]) ).

tff(f39,plain,
    $to_int(11/2) = sF3,
    introduced(function_definition,[]) ).

tff(f40,plain,
    sF4 = $product(sF3,2),
    introduced(function_definition,[]) ).

tff(f41,plain,
    ~ $less(sF2,sF4),
    inference(definition_folding,[],[f34,f40,f39,f38,f37,f36]) ).

tff(f34,plain,
    ~ $less($to_int($sum(10.0,$uminus(0.0001))),$product($to_int(11/2),2)),
    inference(cnf_transformation,[],[f33]) ).

tff(f33,plain,
    ~ $less($to_int($sum(10.0,$uminus(0.0001))),$product($to_int(11/2),2)),
    inference(flattening,[],[f3]) ).

tff(f3,plain,
    ~ $less($to_int($sum(10.0,$uminus(0.0001))),$product($to_int(11/2),2)),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ $less($to_int($difference(10.0,0.0001)),$product($to_int(11/2),2)),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $less($to_int($difference(10.0,0.0001)),$product($to_int(11/2),2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed_types_problem_34) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : ARI529=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n009.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Mon Aug 29 15:43:05 EDT 2022
% 0.12/0.32  % CPUTime    : 
% 0.18/0.48  % (24458)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.18/0.49  % (24476)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.18/0.49  % (24466)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.18/0.49  % (24468)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.18/0.49  % (24466)First to succeed.
% 0.18/0.49  % (24476)Also succeeded, but the first one will report.
% 0.18/0.49  % (24466)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (24466)------------------------------
% 0.18/0.49  % (24466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (24466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (24466)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (24466)Memory used [KB]: 5373
% 0.18/0.49  % (24466)Time elapsed: 0.107 s
% 0.18/0.49  % (24466)Instructions burned: 3 (million)
% 0.18/0.49  % (24466)------------------------------
% 0.18/0.49  % (24466)------------------------------
% 0.18/0.49  % (24450)Success in time 0.164 s
%------------------------------------------------------------------------------