TSTP Solution File: NUM318+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM318+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 : 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 17:58:07 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  12   ~;   9   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f430,plain,
    $false,
    inference(subsumption_resolution,[],[f429,f424]) ).

fof(f424,plain,
    ~ sum(n5,nn5,n0),
    inference(cnf_transformation,[],[f404]) ).

fof(f404,plain,
    ~ sum(n5,nn5,n0),
    inference(flattening,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ sum(n5,nn5,n0),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    sum(n5,nn5,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_n5_nn5_n0) ).

fof(f429,plain,
    sum(n5,nn5,n0),
    inference(resolution,[],[f428,f420]) ).

fof(f420,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,axiom,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdnn5) ).

fof(f428,plain,
    ! [X2] :
      ( ~ rdn_translate(X2,rdn_neg(rdnn(n5)))
      | sum(n5,X2,n0) ),
    inference(resolution,[],[f422,f421]) ).

fof(f421,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/sandbox/benchmark/theBenchmark.p',rdn5) ).

fof(f422,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(X2,rdn_pos(X0))
      | sum(X2,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X0)) ),
    inference(cnf_transformation,[],[f418]) ).

fof(f418,plain,
    ! [X0,X1,X2] :
      ( ~ rdn_translate(X1,rdn_neg(X0))
      | ~ rdn_translate(X2,rdn_pos(X0))
      | sum(X2,X1,n0) ),
    inference(rectify,[],[f414]) ).

fof(f414,plain,
    ! [X2,X1,X0] :
      ( ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2))
      | sum(X0,X1,n0) ),
    inference(flattening,[],[f413]) ).

fof(f413,plain,
    ! [X2,X1,X0] :
      ( sum(X0,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(ennf_transformation,[],[f405]) ).

fof(f405,plain,
    ! [X2,X1,X0] :
      ( ( rdn_translate(X1,rdn_neg(X2))
        & rdn_translate(X0,rdn_pos(X2)) )
     => sum(X0,X1,n0) ),
    inference(rectify,[],[f291]) ).

fof(f291,axiom,
    ! [X12,X13,X9] :
      ( ( rdn_translate(X13,rdn_neg(X9))
        & rdn_translate(X12,rdn_pos(X9)) )
     => sum(X12,X13,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_entry_point_posx_negx) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : NUM318+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 06:24:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  % (16729)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)
% 0.19/0.48  % (16721)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)
% 0.19/0.49  % (16721)Instruction limit reached!
% 0.19/0.49  % (16721)------------------------------
% 0.19/0.49  % (16721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (16721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (16721)Termination reason: Unknown
% 0.19/0.49  % (16721)Termination phase: Preprocessing 3
% 0.19/0.49  
% 0.19/0.49  % (16721)Memory used [KB]: 1791
% 0.19/0.49  % (16721)Time elapsed: 0.006 s
% 0.19/0.49  % (16721)Instructions burned: 3 (million)
% 0.19/0.49  % (16721)------------------------------
% 0.19/0.49  % (16721)------------------------------
% 0.19/0.49  % (16713)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)
% 0.19/0.50  % (16713)First to succeed.
% 0.19/0.51  % (16729)Also succeeded, but the first one will report.
% 0.19/0.51  % (16713)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (16713)------------------------------
% 0.19/0.51  % (16713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (16713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (16713)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (16713)Memory used [KB]: 6268
% 0.19/0.51  % (16713)Time elapsed: 0.089 s
% 0.19/0.51  % (16713)Instructions burned: 5 (million)
% 0.19/0.51  % (16713)------------------------------
% 0.19/0.51  % (16713)------------------------------
% 0.19/0.51  % (16706)Success in time 0.154 s
%------------------------------------------------------------------------------