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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n004.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 18:04:01 EDT 2022

% Result   : Theorem 1.83s 0.63s
% Output   : Refutation 1.83s
% 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 :   21 (  10   ~;   7   |;   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   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f904,plain,
    $false,
    inference(subsumption_resolution,[],[f903,f775]) ).

fof(f775,plain,
    ~ sum(n5,nn5,n0),
    inference(cnf_transformation,[],[f405]) ).

fof(f405,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/sandbox2/benchmark/theBenchmark.p',sum_n5_nn5_n0) ).

fof(f903,plain,
    sum(n5,nn5,n0),
    inference(resolution,[],[f902,f677]) ).

fof(f677,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) ).

fof(f902,plain,
    ! [X0] :
      ( ~ rdn_translate(X0,rdn_pos(rdnn(n5)))
      | sum(X0,nn5,n0) ),
    inference(resolution,[],[f652,f819]) ).

fof(f819,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) ).

fof(f652,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(X0,rdn_neg(X2))
      | ~ rdn_translate(X1,rdn_pos(X2))
      | sum(X1,X0,n0) ),
    inference(cnf_transformation,[],[f473]) ).

fof(f473,plain,
    ! [X0,X1,X2] :
      ( ~ rdn_translate(X0,rdn_neg(X2))
      | ~ rdn_translate(X1,rdn_pos(X2))
      | sum(X1,X0,n0) ),
    inference(flattening,[],[f472]) ).

fof(f472,plain,
    ! [X0,X2,X1] :
      ( sum(X1,X0,n0)
      | ~ rdn_translate(X1,rdn_pos(X2))
      | ~ rdn_translate(X0,rdn_neg(X2)) ),
    inference(ennf_transformation,[],[f424]) ).

fof(f424,plain,
    ! [X0,X2,X1] :
      ( ( rdn_translate(X1,rdn_pos(X2))
        & rdn_translate(X0,rdn_neg(X2)) )
     => sum(X1,X0,n0) ),
    inference(rectify,[],[f291]) ).

fof(f291,axiom,
    ! [X13,X12,X9] :
      ( ( rdn_translate(X12,rdn_pos(X9))
        & rdn_translate(X13,rdn_neg(X9)) )
     => sum(X12,X13,n0) ),
    file('/export/starexec/sandbox2/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.
% 0.04/0.13  % 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 : n004.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 06:18:50 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.22/0.57  % (29286)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.22/0.57  % (29278)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.58  % (29277)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)
% 0.22/0.58  % (29278)Instruction limit reached!
% 0.22/0.58  % (29278)------------------------------
% 0.22/0.58  % (29278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59  % (29278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59  % (29278)Termination reason: Unknown
% 0.22/0.59  % (29278)Termination phase: Property scanning
% 0.22/0.59  
% 0.22/0.59  % (29278)Memory used [KB]: 1279
% 0.22/0.59  % (29278)Time elapsed: 0.006 s
% 0.22/0.59  % (29278)Instructions burned: 7 (million)
% 0.22/0.59  % (29278)------------------------------
% 0.22/0.59  % (29278)------------------------------
% 0.22/0.59  % (29293)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)
% 0.22/0.59  % (29294)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.22/0.59  % (29285)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)
% 1.83/0.62  % (29271)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)
% 1.83/0.62  % (29291)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)
% 1.83/0.62  % (29294)First to succeed.
% 1.83/0.63  % (29299)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.83/0.63  % (29294)Refutation found. Thanks to Tanya!
% 1.83/0.63  % SZS status Theorem for theBenchmark
% 1.83/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.63  % (29294)------------------------------
% 1.83/0.63  % (29294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.63  % (29294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63  % (29294)Termination reason: Refutation
% 1.83/0.63  
% 1.83/0.63  % (29294)Memory used [KB]: 6140
% 1.83/0.63  % (29294)Time elapsed: 0.166 s
% 1.83/0.63  % (29294)Instructions burned: 23 (million)
% 1.83/0.63  % (29294)------------------------------
% 1.83/0.63  % (29294)------------------------------
% 1.83/0.63  % (29270)Success in time 0.265 s
%------------------------------------------------------------------------------