TSTP Solution File: FLD013-5 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD013-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : 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 : Wed Aug 31 16:05:27 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (  14 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   8   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f75,plain,
    $false,
    inference(subsumption_resolution,[],[f73,f59]) ).

fof(f59,plain,
    ~ sum(d,a,u),
    inference(unit_resulting_resolution,[],[f36,f38,f42,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | sum(X4,X5,X2)
      | ~ sum(X0,X1,X2)
      | ~ sum(X0,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).

fof(f42,plain,
    ~ sum(u,additive_identity,v),
    inference(unit_resulting_resolution,[],[f37,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( ~ sum(X0,X3,X5)
      | sum(X3,X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).

fof(f37,axiom,
    ~ sum(additive_identity,u,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_11) ).

fof(f38,plain,
    sum(a,additive_identity,b),
    inference(unit_resulting_resolution,[],[f33,f5]) ).

fof(f33,axiom,
    sum(additive_identity,a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).

fof(f36,axiom,
    sum(d,b,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_10) ).

fof(f73,plain,
    sum(d,a,u),
    inference(unit_resulting_resolution,[],[f39,f40,f45,f2]) ).

fof(f45,plain,
    sum(additive_identity,a,a),
    inference(unit_resulting_resolution,[],[f27,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).

fof(f40,plain,
    sum(c,a,u),
    inference(unit_resulting_resolution,[],[f35,f5]) ).

fof(f35,axiom,
    sum(a,c,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_9) ).

fof(f39,plain,
    sum(c,additive_identity,d),
    inference(unit_resulting_resolution,[],[f34,f5]) ).

fof(f34,axiom,
    sum(additive_identity,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : FLD013-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 20:19:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (6641)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50  % (6656)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (6639)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.51  % (6642)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (6643)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (6641)First to succeed.
% 0.19/0.51  % (6649)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.51  % (6641)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (6641)------------------------------
% 0.19/0.52  % (6641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (6641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (6641)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (6641)Memory used [KB]: 5884
% 0.19/0.52  % (6641)Time elapsed: 0.115 s
% 0.19/0.52  % (6641)Instructions burned: 5 (million)
% 0.19/0.52  % (6641)------------------------------
% 0.19/0.52  % (6641)------------------------------
% 0.19/0.52  % (6632)Success in time 0.171 s
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