TSTP Solution File: NUM300+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM300+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 : n007.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 08:18:42 EDT 2024

% Result   : Theorem 0.21s 0.41s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  19   ~;  12   |;   2   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   37 (  35   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1077,plain,
    $false,
    inference(unit_resulting_resolution,[],[f937,f475,f955,f884]) ).

fof(f884,plain,
    ! [X0,X1] :
      ( ~ sP1(X1)
      | ~ sP0(X0)
      | less(X0,X1) ),
    inference(general_splitting,[],[f882,f883_D]) ).

fof(f883,plain,
    ! [X3,X1] :
      ( ~ rdn_translate(X1,rdn_pos(X3))
      | sP1(X1) ),
    inference(cnf_transformation,[],[f883_D]) ).

fof(f883_D,plain,
    ! [X1] :
      ( ! [X3] : ~ rdn_translate(X1,rdn_pos(X3))
    <=> ~ sP1(X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f882,plain,
    ! [X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ sP0(X0) ),
    inference(general_splitting,[],[f864,f881_D]) ).

fof(f881,plain,
    ! [X2,X0] :
      ( ~ rdn_translate(X0,rdn_neg(X2))
      | sP0(X0) ),
    inference(cnf_transformation,[],[f881_D]) ).

fof(f881_D,plain,
    ! [X0] :
      ( ! [X2] : ~ rdn_translate(X0,rdn_neg(X2))
    <=> ~ sP0(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f864,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(cnf_transformation,[],[f442]) ).

fof(f442,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(flattening,[],[f441]) ).

fof(f441,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(ennf_transformation,[],[f409]) ).

fof(f409,plain,
    ! [X0,X1,X2,X3] :
      ( ( rdn_translate(X1,rdn_pos(X3))
        & rdn_translate(X0,rdn_neg(X2)) )
     => less(X0,X1) ),
    inference(rectify,[],[f282]) ).

fof(f282,axiom,
    ! [X0,X1,X9,X10] :
      ( ( rdn_translate(X1,rdn_pos(X10))
        & rdn_translate(X0,rdn_neg(X9)) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).

fof(f955,plain,
    sP1(n0),
    inference(unit_resulting_resolution,[],[f511,f883]) ).

fof(f511,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn0) ).

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

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

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

fof(f402,conjecture,
    ? [X0] : less(X0,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_n0) ).

fof(f937,plain,
    sP0(nn1),
    inference(unit_resulting_resolution,[],[f502,f881]) ).

fof(f502,plain,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,axiom,
    rdn_translate(nn1,rdn_neg(rdnn(n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM300+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 15:10:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (10523)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (10526)WARNING: value z3 for option sas not known
% 0.15/0.39  % (10527)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39  % (10528)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)
% 0.15/0.39  % (10526)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)
% 0.15/0.39  % (10529)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)
% 0.15/0.39  % (10525)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39  % (10530)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)
% 0.15/0.39  % (10524)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.41  % (10530)First to succeed.
% 0.15/0.41  % (10530)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10523"
% 0.21/0.41  % (10530)Refutation found. Thanks to Tanya!
% 0.21/0.41  % SZS status Theorem for theBenchmark
% 0.21/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41  % (10530)------------------------------
% 0.21/0.41  % (10530)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41  % (10530)Termination reason: Refutation
% 0.21/0.41  
% 0.21/0.41  % (10530)Memory used [KB]: 1409
% 0.21/0.41  % (10530)Time elapsed: 0.018 s
% 0.21/0.41  % (10530)Instructions burned: 35 (million)
% 0.21/0.41  % (10523)Success in time 0.04 s
%------------------------------------------------------------------------------