TSTP Solution File: NUM300+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM300+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_sat --cores 0 -t %d %s

% Computer : n013.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 18:03:58 EDT 2022

% Result   : Theorem 1.74s 0.62s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   46 (  24   ~;  16   |;   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   :   43 (  41   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f993,plain,
    $false,
    inference(subsumption_resolution,[],[f968,f987]) ).

fof(f987,plain,
    ! [X0] : ~ sP13(X0),
    inference(subsumption_resolution,[],[f983,f973]) ).

fof(f973,plain,
    ~ sP14(n0),
    inference(resolution,[],[f934,f715]) ).

fof(f715,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(f934,plain,
    ! [X3,X1] :
      ( ~ rdn_translate(X3,rdn_pos(X1))
      | ~ sP14(X3) ),
    inference(general_splitting,[],[f932,f933_D]) ).

fof(f933,plain,
    ! [X3,X0] :
      ( less(X0,X3)
      | sP14(X3)
      | ~ sP13(X0) ),
    inference(cnf_transformation,[],[f933_D]) ).

fof(f933_D,plain,
    ! [X3] :
      ( ! [X0] :
          ( less(X0,X3)
          | ~ sP13(X0) )
    <=> ~ sP14(X3) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).

fof(f932,plain,
    ! [X3,X0,X1] :
      ( less(X0,X3)
      | ~ rdn_translate(X3,rdn_pos(X1))
      | ~ sP13(X0) ),
    inference(general_splitting,[],[f726,f931_D]) ).

fof(f931,plain,
    ! [X2,X0] :
      ( ~ rdn_translate(X0,rdn_neg(X2))
      | sP13(X0) ),
    inference(cnf_transformation,[],[f931_D]) ).

fof(f931_D,plain,
    ! [X0] :
      ( ! [X2] : ~ rdn_translate(X0,rdn_neg(X2))
    <=> ~ sP13(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).

fof(f726,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X3)
      | ~ rdn_translate(X3,rdn_pos(X1))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(cnf_transformation,[],[f491]) ).

fof(f491,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X3)
      | ~ rdn_translate(X3,rdn_pos(X1))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(rectify,[],[f442]) ).

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

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

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

fof(f282,axiom,
    ! [X1,X9,X10,X0] :
      ( ( 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(f983,plain,
    ! [X0] :
      ( sP14(n0)
      | ~ sP13(X0) ),
    inference(resolution,[],[f933,f802]) ).

fof(f802,plain,
    ! [X0] : ~ less(X0,n0),
    inference(cnf_transformation,[],[f462]) ).

fof(f462,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(f968,plain,
    sP13(nn5),
    inference(resolution,[],[f931,f704]) ).

fof(f704,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/sandbox2/benchmark/theBenchmark.p',rdnn5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM300+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 06:16:47 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.53  % (7833)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.54  % (7825)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54  % (7816)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57  % (7840)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.57  % (7814)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57  % (7813)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57  % (7815)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.58  % (7812)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.58  % (7832)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.60  % (7820)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.60  % (7836)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.60  % (7823)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.60  % (7810)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.61  % (7835)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.61  % (7817)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.61  % (7815)First to succeed.
% 0.21/0.61  % (7831)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.61  % (7828)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.61  % (7817)Instruction limit reached!
% 0.21/0.61  % (7817)------------------------------
% 0.21/0.61  % (7817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61  % (7817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61  % (7817)Termination reason: Unknown
% 0.21/0.61  % (7817)Termination phase: Property scanning
% 0.21/0.61  
% 0.21/0.61  % (7817)Memory used [KB]: 1279
% 0.21/0.61  % (7817)Time elapsed: 0.007 s
% 0.21/0.61  % (7817)Instructions burned: 8 (million)
% 0.21/0.61  % (7817)------------------------------
% 0.21/0.61  % (7817)------------------------------
% 0.21/0.61  % (7837)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.61  % (7833)Also succeeded, but the first one will report.
% 1.74/0.62  % (7815)Refutation found. Thanks to Tanya!
% 1.74/0.62  % SZS status Theorem for theBenchmark
% 1.74/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.62  % (7815)------------------------------
% 1.74/0.62  % (7815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62  % (7815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62  % (7815)Termination reason: Refutation
% 1.74/0.62  
% 1.74/0.62  % (7815)Memory used [KB]: 6012
% 1.74/0.62  % (7815)Time elapsed: 0.153 s
% 1.74/0.62  % (7815)Instructions burned: 19 (million)
% 1.74/0.62  % (7815)------------------------------
% 1.74/0.62  % (7815)------------------------------
% 1.74/0.62  % (7793)Success in time 0.259 s
%------------------------------------------------------------------------------