TSTP Solution File: ARI647_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI647_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 : n008.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 15:46:44 EDT 2022

% Result   : Theorem 1.69s 0.57s
% Output   : Refutation 1.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   7 unt;   1 typ;   0 def)
%            Number of atoms       :   29 (  21 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  17   ~;  12   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   84 (   7 atm;  24 fun;  43 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 (   1 usr;   7 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    a: $int ).

tff(f107,plain,
    $false,
    inference(evaluation,[],[f106]) ).

tff(f106,plain,
    ~ $less($product(-2,1),-1),
    inference(forward_demodulation,[],[f26,f83]) ).

tff(f83,plain,
    a = 1,
    inference(trivial_inequality_removal,[],[f81]) ).

tff(f81,plain,
    ( ( 3 != 3 )
    | ( a = 1 ) ),
    inference(superposition,[],[f38,f17]) ).

tff(f17,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f38,plain,
    ! [X6: $int] :
      ( ( 3 != $product(3,X6) )
      | ( a = X6 ) ),
    inference(evaluation,[],[f34]) ).

tff(f34,plain,
    ! [X6: $int] :
      ( ( a = X6 )
      | ( 3 != $product(3,X6) )
      | ( 3 = 0 ) ),
    inference(superposition,[],[f25,f24]) ).

tff(f24,plain,
    3 = $product(3,a),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ( ( 3 = $product(3,a) )
    & ~ $less($product(-1,$product(2,a)),-1) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ( $less($product(-1,$product(2,a)),-1)
      | ( 3 != $product(3,a) ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( 3 != $product(3,a) )
      | ~ $lesseq(-1,$product(-1,$product(2,a))) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( 3 != $product(3,a) )
    | ~ $lesseq(-1,$product(-1,$product(2,a))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

tff(f25,plain,
    ! [X2: $int,X3: $int,X0: $int] :
      ( ( $product(X0,X3) != $product(X0,X2) )
      | ( 0 = X0 )
      | ( X2 = X3 ) ),
    inference(equality_resolution,[],[f20]) ).

tff(f20,plain,
    ! [X2: $int,X3: $int,X0: $int,X1: $int] :
      ( ( $product(X0,X3) != X1 )
      | ( X2 = X3 )
      | ( $product(X0,X2) != X1 )
      | ( 0 = X0 ) ),
    introduced(theory_axiom_156,[]) ).

tff(f26,plain,
    ~ $less($product(-2,a),-1),
    inference(evaluation,[],[f23]) ).

tff(f23,plain,
    ~ $less($product(-1,$product(2,a)),-1),
    inference(cnf_transformation,[],[f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ARI647=1 : TPTP v8.1.0. Released v6.3.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.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 15:56:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.54/0.55  % (15754)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.54/0.56  % (15762)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.54/0.56  % (15775)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)
% 1.54/0.56  % (15754)Instruction limit reached!
% 1.54/0.56  % (15754)------------------------------
% 1.54/0.56  % (15754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (15771)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.69/0.57  % (15766)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)
% 1.69/0.57  % (15771)Instruction limit reached!
% 1.69/0.57  % (15771)------------------------------
% 1.69/0.57  % (15771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (15771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (15771)Termination reason: Unknown
% 1.69/0.57  % (15771)Termination phase: Saturation
% 1.69/0.57  
% 1.69/0.57  % (15771)Memory used [KB]: 5373
% 1.69/0.57  % (15771)Time elapsed: 0.150 s
% 1.69/0.57  % (15771)Instructions burned: 2 (million)
% 1.69/0.57  % (15771)------------------------------
% 1.69/0.57  % (15771)------------------------------
% 1.69/0.57  % (15754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (15754)Termination reason: Unknown
% 1.69/0.57  % (15754)Termination phase: Saturation
% 1.69/0.57  
% 1.69/0.57  % (15754)Memory used [KB]: 5500
% 1.69/0.57  % (15754)Time elapsed: 0.139 s
% 1.69/0.57  % (15754)Instructions burned: 8 (million)
% 1.69/0.57  % (15754)------------------------------
% 1.69/0.57  % (15754)------------------------------
% 1.69/0.57  % (15779)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.69/0.57  % (15779)Refutation not found, incomplete strategy% (15779)------------------------------
% 1.69/0.57  % (15779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (15779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (15779)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.57  
% 1.69/0.57  % (15779)Memory used [KB]: 5373
% 1.69/0.57  % (15779)Time elapsed: 0.089 s
% 1.69/0.57  % (15779)Instructions burned: 2 (million)
% 1.69/0.57  % (15779)------------------------------
% 1.69/0.57  % (15779)------------------------------
% 1.69/0.57  % (15766)First to succeed.
% 1.69/0.57  % (15775)Also succeeded, but the first one will report.
% 1.69/0.57  % (15766)Refutation found. Thanks to Tanya!
% 1.69/0.57  % SZS status Theorem for theBenchmark
% 1.69/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.57  % (15766)------------------------------
% 1.69/0.57  % (15766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57  % (15766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57  % (15766)Termination reason: Refutation
% 1.69/0.57  
% 1.69/0.57  % (15766)Memory used [KB]: 5628
% 1.69/0.57  % (15766)Time elapsed: 0.153 s
% 1.69/0.57  % (15766)Instructions burned: 5 (million)
% 1.69/0.57  % (15766)------------------------------
% 1.69/0.57  % (15766)------------------------------
% 1.69/0.57  % (15751)Success in time 0.219 s
%------------------------------------------------------------------------------