%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD055-3 : 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 : n009.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 16:05:54 EDT 2022

% Result   : Unsatisfiable 0.14s 0.48s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (   8 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   55 (  25   ~;  28   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f318,plain,
    $false,
    inference(avatar_sat_refutation,[],[f176,f199,f316]) ).

fof(f316,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f315]) ).

fof(f315,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f310,f32]) ).

fof(f32,axiom,
    ~ less_or_equal(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_6) ).

fof(f310,plain,
    ( less_or_equal(a,c)
    | ~ spl0_9 ),
    inference(resolution,[],[f223,f30]) ).

fof(f30,axiom,
    less_or_equal(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).

fof(f223,plain,
    ( ! [X0] :
        ( ~ less_or_equal(X0,b)
        | less_or_equal(X0,c) )
    | ~ spl0_9 ),
    inference(resolution,[],[f175,f22]) ).

fof(f22,axiom,
    ! [X3,X0,X5] :
      ( ~ less_or_equal(X3,X5)
      | ~ less_or_equal(X0,X3)
      | less_or_equal(X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order_relation) ).

fof(f175,plain,
    ( less_or_equal(b,c)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f173,plain,
    ( spl0_9
  <=> less_or_equal(b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f199,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f198]) ).

fof(f198,plain,
    ( $false
    | spl0_6 ),
    inference(subsumption_resolution,[],[f197,f160]) ).

fof(f160,plain,
    ( ~ less_or_equal(additive_identity,additive_identity)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl0_6
  <=> less_or_equal(additive_identity,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f197,plain,
    ( less_or_equal(additive_identity,additive_identity)
    | spl0_6 ),
    inference(subsumption_resolution,[],[f192,f14]) ).

fof(f14,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).

fof(f192,plain,
    ( ~ defined(additive_identity)
    | less_or_equal(additive_identity,additive_identity)
    | spl0_6 ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ( ~ defined(additive_identity)
    | ~ defined(additive_identity)
    | less_or_equal(additive_identity,additive_identity)
    | spl0_6 ),
    inference(resolution,[],[f160,f23]) ).

fof(f23,axiom,
    ! [X3,X0] :
      ( less_or_equal(X3,X0)
      | less_or_equal(X0,X3)
      | ~ defined(X3)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_order_relation) ).

fof(f176,plain,
    ( spl0_9
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f171,f158,f173]) ).

fof(f171,plain,
    ( ~ less_or_equal(additive_identity,additive_identity)
    | less_or_equal(b,c) ),
    inference(subsumption_resolution,[],[f142,f28]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).

fof(f142,plain,
    ( ~ less_or_equal(additive_identity,additive_identity)
    | less_or_equal(b,c)
    | ~ defined(b) ),
    inference(resolution,[],[f85,f3]) ).

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

fof(f85,plain,
    ! [X10,X11] :
      ( ~ sum(X10,b,X11)
      | less_or_equal(X11,c)
      | ~ less_or_equal(X10,additive_identity) ),
    inference(resolution,[],[f24,f31]) ).

fof(f31,axiom,
    sum(additive_identity,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).

fof(f24,axiom,
    ! [X3,X0,X1,X4,X5] :
      ( ~ sum(X3,X5,X1)
      | ~ less_or_equal(X0,X3)
      | less_or_equal(X4,X1)
      | ~ sum(X0,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : FLD055-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.02/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29  % Computer : n009.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Aug 29 20:39:20 EDT 2022
% 0.09/0.29  % CPUTime    : 
% 0.14/0.45  % (28634)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.14/0.46  % (28628)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.46  % (28628)Instruction limit reached!
% 0.14/0.46  % (28628)------------------------------
% 0.14/0.46  % (28628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46  % (28628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46  % (28628)Termination reason: Unknown
% 0.14/0.46  % (28628)Termination phase: Saturation
% 0.14/0.46  
% 0.14/0.46  % (28628)Memory used [KB]: 1279
% 0.14/0.46  % (28628)Time elapsed: 0.004 s
% 0.14/0.46  % (28628)Instructions burned: 2 (million)
% 0.14/0.46  % (28628)------------------------------
% 0.14/0.46  % (28628)------------------------------
% 0.14/0.46  % (28618)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)
% 0.14/0.46  % (28620)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.46  % (28620)Instruction limit reached!
% 0.14/0.46  % (28620)------------------------------
% 0.14/0.46  % (28620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46  % (28620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46  % (28620)Termination reason: Unknown
% 0.14/0.46  % (28620)Termination phase: Saturation
% 0.14/0.46  
% 0.14/0.46  % (28620)Memory used [KB]: 5884
% 0.14/0.46  % (28620)Time elapsed: 0.112 s
% 0.14/0.46  % (28620)Instructions burned: 4 (million)
% 0.14/0.46  % (28620)------------------------------
% 0.14/0.46  % (28620)------------------------------
% 0.14/0.47  % (28636)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.14/0.47  % (28626)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.14/0.48  % (28636)First to succeed.
% 0.14/0.48  % (28636)Refutation found. Thanks to Tanya!
% 0.14/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48  % (28636)------------------------------
% 0.14/0.48  % (28636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48  % (28636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (28636)Termination reason: Refutation
% 0.14/0.48  
% 0.14/0.48  % (28636)Memory used [KB]: 6012
% 0.14/0.48  % (28636)Time elapsed: 0.124 s
% 0.14/0.48  % (28636)Instructions burned: 14 (million)
% 0.14/0.48  % (28636)------------------------------
% 0.14/0.48  % (28636)------------------------------
% 0.14/0.48  % (28611)Success in time 0.181 s
%------------------------------------------------------------------------------