TSTP Solution File: ARI725_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI725_1 : TPTP v8.1.0. Released v6.3.0.
% 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 : n024.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 15:47:00 EDT 2022

% Result   : Theorem 1.59s 0.59s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (  11   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number arithmetic     :   84 (   7 atm;  39 fun;  28 num;  10 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   7   !;   3   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f67,plain,
    $false,
    inference(evaluation,[],[f66]) ).

tff(f66,plain,
    $floor($product($sum(2.0,$uminus(-1.0)),$quotient(1.0,2.0))) != 1.0,
    inference(gaussian_variable_elimination,[],[f65]) ).

tff(f65,plain,
    ! [X1: $real] :
      ( ( 2.0 != $sum($product(2.0,X1),-1.0) )
      | ( 1.0 != $floor(X1) ) ),
    inference(evaluation,[],[f55]) ).

tff(f55,plain,
    ! [X1: $real] :
      ( ( 2.0 != $sum($product(2.0,X1),$uminus(1.0)) )
      | ( 1.0 != $floor(X1) ) ),
    inference(constrained_resolution,[],[f30,f22]) ).

tff(f22,plain,
    ! [X0: $real] : $less($sum(X0,$uminus(1.0)),$floor(X0)),
    introduced(theory_axiom_168,[]) ).

tff(f30,plain,
    ! [X3: $real] :
      ( ~ $less(2.0,$floor($product(2.0,X3)))
      | ( 1.0 != $floor(X3) ) ),
    inference(constrained_superposition,[],[f24,f17]) ).

tff(f17,plain,
    ! [X0: $real] : ( $product(X0,1.0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f24,plain,
    ! [X0: $real] : ~ $less($product(2.0,$floor(X0)),$floor($product(2.0,X0))),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X0: $real] : ~ $less($product(2.0,$floor(X0)),$floor($product(2.0,X0))),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $real] : $less($product(2.0,$floor(X0)),$floor($product(2.0,X0))),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $real] : $greater($floor($product(2.0,X0)),$product(2.0,$floor(X0))),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $real] : $greater($floor($product(2.0,X0)),$product(2.0,$floor(X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ARI725=1 : TPTP v8.1.0. Released v6.3.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.35  % Computer : n024.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Mon Aug 29 16:04:04 EDT 2022
% 0.12/0.35  % CPUTime    : 
% 1.29/0.55  % (7162)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 (2999ds/32Mi)
% 1.29/0.55  % (7163)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 (2999ds/36Mi)
% 1.29/0.56  % (7178)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.29/0.56  % (7179)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.56  % (7170)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.59/0.57  % (7171)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 (2999ds/2Mi)
% 1.59/0.58  % (7170)First to succeed.
% 1.59/0.58  % (7171)Instruction limit reached!
% 1.59/0.58  % (7171)------------------------------
% 1.59/0.58  % (7171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59  % (7171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59  % (7171)Termination reason: Unknown
% 1.59/0.59  % (7171)Termination phase: Saturation
% 1.59/0.59  
% 1.59/0.59  % (7171)Memory used [KB]: 5373
% 1.59/0.59  % (7171)Time elapsed: 0.146 s
% 1.59/0.59  % (7171)Instructions burned: 2 (million)
% 1.59/0.59  % (7171)------------------------------
% 1.59/0.59  % (7171)------------------------------
% 1.59/0.59  % (7170)Refutation found. Thanks to Tanya!
% 1.59/0.59  % SZS status Theorem for theBenchmark
% 1.59/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.59  % (7170)------------------------------
% 1.59/0.59  % (7170)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59  % (7170)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59  % (7170)Termination reason: Refutation
% 1.59/0.59  
% 1.59/0.59  % (7170)Memory used [KB]: 5500
% 1.59/0.59  % (7170)Time elapsed: 0.150 s
% 1.59/0.59  % (7170)Instructions burned: 4 (million)
% 1.59/0.59  % (7170)------------------------------
% 1.59/0.59  % (7170)------------------------------
% 1.59/0.59  % (7155)Success in time 0.228 s
%------------------------------------------------------------------------------