TSTP Solution File: ARI355_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI355_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 : n022.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 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   22 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   5   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   59 (  15 atm;   9 fun;  14 num;  21 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    :    4 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (  19   !;   2   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f123,plain,
    $false,
    inference(subsumption_resolution,[],[f118,f47]) ).

tff(f47,plain,
    ! [X0: $real,X1: $real] : ~ $less(X1,X0),
    inference(superposition,[],[f15,f38]) ).

tff(f38,plain,
    ! [X4: $real] : ( 0.0 = X4 ),
    inference(subsumption_resolution,[],[f31,f15]) ).

tff(f31,plain,
    ! [X4: $real] :
      ( $less($sum(0.0,$uminus(X4)),0.0)
      | ( 0.0 = X4 ) ),
    inference(superposition,[],[f19,f7]) ).

tff(f7,plain,
    ! [X0: $real] : ( 0.0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f19,plain,
    ! [X0: $real,X1: $real] :
      ( $less($sum(0.0,X1),$sum(X0,X1))
      | ( 0.0 = X0 ) ),
    inference(resolution,[],[f16,f11]) ).

tff(f11,plain,
    ! [X2: $real,X0: $real,X1: $real] :
      ( ~ $less(X0,X1)
      | $less($sum(X0,X2),$sum(X1,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f16,plain,
    ! [X0: $real] :
      ( $less(0.0,X0)
      | ( 0.0 = X0 ) ),
    inference(resolution,[],[f15,f10]) ).

tff(f10,plain,
    ! [X0: $real,X1: $real] :
      ( $less(X0,X1)
      | $less(X1,X0)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_149,[]) ).

tff(f15,plain,
    ! [X0: $real] : ~ $less(X0,0.0),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $real] : ~ $less(X0,0.0),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : $less(X0,0.0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $real] : $less(X0,0.0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_less_problem_11) ).

tff(f118,plain,
    ! [X0: $real,X1: $real] : $less(X0,X1),
    inference(resolution,[],[f47,f12]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI355=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_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 15:35:41 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.49  % (1300)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.20/0.49  % (1316)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.50  % (1308)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.50  % (1300)Refutation not found, incomplete strategy% (1300)------------------------------
% 0.20/0.50  % (1300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (1300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (1300)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (1300)Memory used [KB]: 5373
% 0.20/0.50  % (1300)Time elapsed: 0.104 s
% 0.20/0.50  % (1300)Instructions burned: 2 (million)
% 0.20/0.50  % (1300)------------------------------
% 0.20/0.50  % (1300)------------------------------
% 0.20/0.50  % (1297)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)
% 0.20/0.50  % (1308)Instruction limit reached!
% 0.20/0.50  % (1308)------------------------------
% 0.20/0.50  % (1308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (1308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (1308)Termination reason: Unknown
% 0.20/0.50  % (1308)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (1308)Memory used [KB]: 5373
% 0.20/0.50  % (1308)Time elapsed: 0.003 s
% 0.20/0.50  % (1308)Instructions burned: 2 (million)
% 0.20/0.50  % (1308)------------------------------
% 0.20/0.50  % (1308)------------------------------
% 0.20/0.51  % (1299)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.20/0.51  % (1316)First to succeed.
% 0.20/0.51  % (1299)Also succeeded, but the first one will report.
% 0.20/0.51  % (1316)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (1316)------------------------------
% 0.20/0.51  % (1316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (1316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (1316)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (1316)Memory used [KB]: 5500
% 0.20/0.51  % (1316)Time elapsed: 0.108 s
% 0.20/0.51  % (1316)Instructions burned: 4 (million)
% 0.20/0.51  % (1316)------------------------------
% 0.20/0.51  % (1316)------------------------------
% 0.20/0.51  % (1292)Success in time 0.161 s
%------------------------------------------------------------------------------