TSTP Solution File: NUM326+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM326+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 : Sun May  5 08:18:46 EDT 2024

% Result   : Theorem 0.20s 0.43s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  12   ~;   7   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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   :   22 (  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1328,plain,
    $false,
    inference(resolution,[],[f1199,f509]) ).

fof(f509,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(f1199,plain,
    ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n5))),
    inference(resolution,[],[f1159,f502]) ).

fof(f502,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(f1159,plain,
    ! [X0,X1] :
      ( ~ rdn_translate(nn5,rdn_neg(X0))
      | ~ rdn_translate(X1,rdn_pos(X0)) ),
    inference(resolution,[],[f857,f475]) ).

fof(f475,plain,
    ! [X0] : ~ sum(X0,nn5,n0),
    inference(cnf_transformation,[],[f426]) ).

fof(f426,plain,
    ! [X0] : ~ sum(X0,nn5,n0),
    inference(ennf_transformation,[],[f403]) ).

fof(f403,negated_conjecture,
    ~ ? [X0] : sum(X0,nn5,n0),
    inference(negated_conjecture,[],[f402]) ).

fof(f402,conjecture,
    ? [X0] : sum(X0,nn5,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_nn5_n0) ).

fof(f857,plain,
    ! [X2,X0,X1] :
      ( sum(X0,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(cnf_transformation,[],[f433]) ).

fof(f433,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(flattening,[],[f432]) ).

fof(f432,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,n0)
      | ~ rdn_translate(X1,rdn_neg(X2))
      | ~ rdn_translate(X0,rdn_pos(X2)) ),
    inference(ennf_transformation,[],[f406]) ).

fof(f406,plain,
    ! [X0,X1,X2] :
      ( ( 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
% 0.10/0.13  % Problem    : NUM326+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36  % Computer : n011.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Fri May  3 14:40:23 EDT 2024
% 0.13/0.37  % CPUTime    : 
% 0.13/0.37  % (27180)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39  % (27184)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.39  % (27185)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.39  % (27183)WARNING: value z3 for option sas not known
% 0.13/0.39  % (27181)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.39  % (27182)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.39  % (27183)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.39  % (27187)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.39  % (27186)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.40  TRYING [1]
% 0.13/0.41  TRYING [2]
% 0.20/0.43  % (27186)First to succeed.
% 0.20/0.43  % (27186)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27180"
% 0.20/0.43  TRYING [3]
% 0.20/0.43  % (27186)Refutation found. Thanks to Tanya!
% 0.20/0.43  % SZS status Theorem for theBenchmark
% 0.20/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43  % (27186)------------------------------
% 0.20/0.43  % (27186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.43  % (27186)Termination reason: Refutation
% 0.20/0.43  
% 0.20/0.43  % (27186)Memory used [KB]: 2010
% 0.20/0.43  % (27186)Time elapsed: 0.041 s
% 0.20/0.43  % (27186)Instructions burned: 79 (million)
% 0.20/0.43  % (27180)Success in time 0.065 s
%------------------------------------------------------------------------------