TSTP Solution File: NUM295+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM295+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : 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 17:58:02 EDT 2022

% Result   : Theorem 0.19s 0.58s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  11 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  15   ~;  12   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   32 (  28   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f639,plain,
    $false,
    inference(unit_resulting_resolution,[],[f548,f527,f542,f538,f535]) ).

fof(f535,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X3)
      | ~ rdn_positive_less(X2,X1)
      | ~ rdn_translate(X3,rdn_pos(X1))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(cnf_transformation,[],[f519]) ).

fof(f519,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X3)
      | ~ rdn_positive_less(X2,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X3,rdn_pos(X1)) ),
    inference(rectify,[],[f514]) ).

fof(f514,plain,
    ! [X3,X1,X0,X2] :
      ( less(X3,X2)
      | ~ rdn_positive_less(X0,X1)
      | ~ rdn_translate(X3,rdn_pos(X0))
      | ~ rdn_translate(X2,rdn_pos(X1)) ),
    inference(flattening,[],[f513]) ).

fof(f513,plain,
    ! [X0,X1,X2,X3] :
      ( less(X3,X2)
      | ~ rdn_translate(X3,rdn_pos(X0))
      | ~ rdn_positive_less(X0,X1)
      | ~ rdn_translate(X2,rdn_pos(X1)) ),
    inference(ennf_transformation,[],[f404]) ).

fof(f404,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_translate(X3,rdn_pos(X0))
        & rdn_positive_less(X0,X1)
        & rdn_translate(X2,rdn_pos(X1)) )
     => less(X3,X2) ),
    inference(rectify,[],[f281]) ).

fof(f281,axiom,
    ! [X9,X10,X1,X0] :
      ( ( rdn_translate(X0,rdn_pos(X9))
        & rdn_positive_less(X9,X10)
        & rdn_translate(X1,rdn_pos(X10)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).

fof(f538,plain,
    ! [X0,X1] : ~ less(X0,X1),
    inference(cnf_transformation,[],[f511]) ).

fof(f511,plain,
    ! [X0,X1] : ~ less(X0,X1),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0,X1] : less(X0,X1),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0,X1] : less(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_something) ).

fof(f542,plain,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn6) ).

fof(f527,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(cnf_transformation,[],[f271]) ).

fof(f271,axiom,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less56) ).

fof(f548,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM295+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.19/0.34  % DateTime   : Tue Aug 30 06:17:05 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 0.19/0.56  % (15607)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.57  % (15608)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.57  % (15615)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.57  % (15623)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.57  % (15608)First to succeed.
% 0.19/0.57  % (15624)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.57  % (15616)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.58  % (15607)Also succeeded, but the first one will report.
% 0.19/0.58  % (15615)Instruction limit reached!
% 0.19/0.58  % (15615)------------------------------
% 0.19/0.58  % (15615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (15615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (15615)Termination reason: Unknown
% 0.19/0.58  % (15615)Termination phase: Preprocessing 3
% 0.19/0.58  
% 0.19/0.58  % (15615)Memory used [KB]: 1791
% 0.19/0.58  % (15615)Time elapsed: 0.004 s
% 0.19/0.58  % (15615)Instructions burned: 3 (million)
% 0.19/0.58  % (15615)------------------------------
% 0.19/0.58  % (15615)------------------------------
% 0.19/0.58  % (15608)Refutation found. Thanks to Tanya!
% 0.19/0.58  % SZS status Theorem for theBenchmark
% 0.19/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58  % (15608)------------------------------
% 0.19/0.58  % (15608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (15608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (15608)Termination reason: Refutation
% 0.19/0.58  
% 0.19/0.58  % (15608)Memory used [KB]: 6396
% 0.19/0.58  % (15608)Time elapsed: 0.130 s
% 0.19/0.58  % (15608)Instructions burned: 5 (million)
% 0.19/0.58  % (15608)------------------------------
% 0.19/0.58  % (15608)------------------------------
% 0.19/0.58  % (15600)Success in time 0.228 s
%------------------------------------------------------------------------------