%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV019-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n021.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 18:43:52 EDT 2022

% Result   : Unsatisfiable 0.15s 0.48s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   49 (  12 unt;   0 def)
%            Number of atoms       :  101 (   3 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   87 (  35   ~;  45   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   8 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(avatar_sat_refutation,[],[f39,f40,f49,f51,f56,f66,f72,f76]) ).

fof(f76,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f75]) ).

fof(f75,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f73,f8]) ).

fof(f8,axiom,
    ~ less_than(upper_bound,an_index),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',somewhere_below_upper_bound) ).

fof(f73,plain,
    ( less_than(upper_bound,an_index)
    | ~ spl0_1 ),
    inference(resolution,[],[f14,f2]) ).

fof(f2,axiom,
    ! [X2,X1] :
      ( ~ less_than(successor(X1),successor(X2))
      | less_than(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',predecessor_less) ).

fof(f14,plain,
    ( less_than(successor(upper_bound),successor(an_index))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f12]) ).

fof(f12,plain,
    ( spl0_1
  <=> less_than(successor(upper_bound),successor(an_index)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f72,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f71]) ).

fof(f71,plain,
    ( $false
    | spl0_7 ),
    inference(subsumption_resolution,[],[f70,f8]) ).

fof(f70,plain,
    ( less_than(upper_bound,an_index)
    | spl0_7 ),
    inference(subsumption_resolution,[],[f69,f7]) ).

fof(f7,axiom,
    ~ less_than(an_index,lower_bound),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',somewhere_above_lower_bound) ).

fof(f69,plain,
    ( less_than(an_index,lower_bound)
    | less_than(upper_bound,an_index)
    | spl0_7 ),
    inference(resolution,[],[f38,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( in_array_bounds(array,X0)
      | less_than(upper_bound,X0)
      | less_than(X0,lower_bound) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_bounds) ).

fof(f38,plain,
    ( ~ in_array_bounds(array,an_index)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_7
  <=> in_array_bounds(array,an_index) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f66,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f65]) ).

fof(f65,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f63,f7]) ).

fof(f63,plain,
    ( less_than(an_index,lower_bound)
    | ~ spl0_6 ),
    inference(resolution,[],[f58,f4]) ).

fof(f4,axiom,
    ! [X1] : less_than(X1,successor(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_greater) ).

fof(f58,plain,
    ( ! [X0] :
        ( ~ less_than(X0,successor(an_index))
        | less_than(X0,lower_bound) )
    | ~ spl0_6 ),
    inference(resolution,[],[f34,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X1] :
      ( ~ less_than(X2,X3)
      | ~ less_than(X1,X2)
      | less_than(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less) ).

fof(f34,plain,
    ( less_than(successor(an_index),lower_bound)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl0_6
  <=> less_than(successor(an_index),lower_bound) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f56,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f55]) ).

fof(f55,plain,
    ( $false
    | spl0_5 ),
    inference(subsumption_resolution,[],[f54,f6]) ).

fof(f6,axiom,
    less_than(index_of_maximal,an_index),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',maximal_before_somewhere) ).

fof(f54,plain,
    ( ~ less_than(index_of_maximal,an_index)
    | spl0_5 ),
    inference(resolution,[],[f45,f30]) ).

fof(f30,plain,
    ( ~ less_than(index_of_maximal,successor(an_index))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl0_5
  <=> less_than(index_of_maximal,successor(an_index)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f45,plain,
    ! [X2,X1] :
      ( less_than(X1,successor(X2))
      | ~ less_than(X1,X2) ),
    inference(resolution,[],[f3,f4]) ).

fof(f51,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f50]) ).

fof(f50,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f26,f9]) ).

fof(f9,axiom,
    ~ less_than(index_of_maximal,lower_bound),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',maximal_above_lower_bound) ).

fof(f26,plain,
    ( less_than(index_of_maximal,lower_bound)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl0_4
  <=> less_than(index_of_maximal,lower_bound) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f49,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f48]) ).

fof(f48,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f47,f8]) ).

fof(f47,plain,
    ( less_than(upper_bound,an_index)
    | spl0_3 ),
    inference(resolution,[],[f44,f43]) ).

fof(f43,plain,
    ( less_than(upper_bound,index_of_maximal)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f42,f9]) ).

fof(f42,plain,
    ( less_than(index_of_maximal,lower_bound)
    | less_than(upper_bound,index_of_maximal)
    | spl0_3 ),
    inference(resolution,[],[f1,f22]) ).

fof(f22,plain,
    ( ~ in_array_bounds(array,index_of_maximal)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
    ( spl0_3
  <=> in_array_bounds(array,index_of_maximal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f44,plain,
    ! [X0] :
      ( ~ less_than(X0,index_of_maximal)
      | less_than(X0,an_index) ),
    inference(resolution,[],[f3,f6]) ).

fof(f40,plain,
    ( spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f5,f20,f16]) ).

fof(f16,plain,
    ( spl0_2
  <=> maximal_value = array_value_at(array,index_of_maximal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f5,axiom,
    ( ~ in_array_bounds(array,index_of_maximal)
    | maximal_value = array_value_at(array,index_of_maximal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',this_is_maximal) ).

fof(f39,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f10,f36,f32,f28,f24,f20,f16,f12]) ).

fof(f10,axiom,
    ( ~ in_array_bounds(array,an_index)
    | less_than(successor(an_index),lower_bound)
    | ~ less_than(index_of_maximal,successor(an_index))
    | less_than(index_of_maximal,lower_bound)
    | ~ in_array_bounds(array,index_of_maximal)
    | maximal_value != array_value_at(array,index_of_maximal)
    | less_than(successor(upper_bound),successor(an_index)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWV019-1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30  % Computer : n021.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 18:52:41 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.15/0.46  % (22622)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.15/0.47  % (22605)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)
% 0.15/0.47  % (22606)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.47  % (22606)Refutation not found, incomplete strategy% (22606)------------------------------
% 0.15/0.47  % (22606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (22606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (22606)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.47  
% 0.15/0.47  % (22606)Memory used [KB]: 5756
% 0.15/0.47  % (22606)Time elapsed: 0.100 s
% 0.15/0.47  % (22606)Instructions burned: 1 (million)
% 0.15/0.47  % (22606)------------------------------
% 0.15/0.47  % (22606)------------------------------
% 0.15/0.47  % (22605)Instruction limit reached!
% 0.15/0.47  % (22605)------------------------------
% 0.15/0.47  % (22605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (22621)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)
% 0.15/0.47  % (22605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (22605)Termination reason: Unknown
% 0.15/0.47  % (22605)Termination phase: Saturation
% 0.15/0.47  
% 0.15/0.47  % (22605)Memory used [KB]: 5756
% 0.15/0.47  % (22605)Time elapsed: 0.102 s
% 0.15/0.47  % (22605)Instructions burned: 3 (million)
% 0.15/0.47  % (22605)------------------------------
% 0.15/0.47  % (22605)------------------------------
% 0.15/0.48  % (22614)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.15/0.48  % (22622)Refutation not found, incomplete strategy% (22622)------------------------------
% 0.15/0.48  % (22622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (22622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (22622)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.48  
% 0.15/0.48  % (22621)First to succeed.
% 0.15/0.48  % (22622)Memory used [KB]: 5756
% 0.15/0.48  % (22622)Time elapsed: 0.113 s
% 0.15/0.48  % (22622)Instructions burned: 2 (million)
% 0.15/0.48  % (22622)------------------------------
% 0.15/0.48  % (22622)------------------------------
% 0.15/0.48  % (22621)Refutation found. Thanks to Tanya!
% 0.15/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48  % (22621)------------------------------
% 0.15/0.48  % (22621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (22621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (22621)Termination reason: Refutation
% 0.15/0.48  
% 0.15/0.48  % (22621)Memory used [KB]: 5884
% 0.15/0.48  % (22621)Time elapsed: 0.114 s
% 0.15/0.48  % (22621)Instructions burned: 2 (million)
% 0.15/0.48  % (22621)------------------------------
% 0.15/0.48  % (22621)------------------------------
% 0.15/0.48  % (22596)Success in time 0.165 s
%------------------------------------------------------------------------------