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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO070-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:53:29 AM UTC 2026

% Result   : Unsatisfiable 21.60s 6.95s
% Output   : Refutation 21.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   79
% Syntax   : Number of formulae    :  446 (  62 unt;  44 def)
%            Number of atoms       : 1020 (  43 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives : 1048 ( 474   ~; 530   |;   0   &)
%                                         (  44 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   49 (  47 usr;  45 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-4 aty)
%            Number of variables   :  146 (   0 sgn 146   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',reflexivity_for_equidistance) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ colinear(X0,X1,X2)
      | between(X0,X1,X2)
      | between(X1,X2,X0)
      | between(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-1.ax',colinearity4) ).

fof(f26,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).

fof(f27,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3) ).

fof(f28,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_1) ).

fof(f29,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X1,X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_2) ).

fof(f30,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_3) ).

fof(f31,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X3,X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_4) ).

fof(f32,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X3,X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_5) ).

fof(f46,axiom,
    ! [X0,X1] : equidistant(X0,X0,X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7) ).

fof(f49,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | X0 = X1
      | X2 = extension(X0,X1,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_1) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | X0 = X1
      | extension(X0,X1,X1,X2) = X2 ),
    inference(reorient_equations,[],[f49]) ).

fof(f56,axiom,
    ! [X0,X1] : between(X0,X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3) ).

fof(f58,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | between(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).

fof(f59,axiom,
    ! [X0,X1] : between(X0,X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2) ).

fof(f60,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X1,X0,X2)
      | ~ between(X0,X1,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).

fof(f61,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X0,X2,X1)
      | ~ between(X0,X1,X2)
      | X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b3) ).

fof(f65,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X2,X3)
      | ~ between(X0,X1,X2)
      | between(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b5) ).

fof(f67,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X2,X3)
      | ~ between(X0,X1,X2)
      | between(X0,X1,X3)
      | X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b7) ).

fof(f68,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X3,X2)
      | ~ between(X0,X1,X2)
      | between(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).

fof(f69,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X2,X3)
      | ~ between(X0,X1,X2)
      | between(X0,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b9) ).

fof(f89,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X4,X2,X5)
      | ~ equidistant(X1,X4,X3,X5)
      | ~ equidistant(X0,X1,X2,X3)
      | ~ between(X0,X1,X4)
      | between(X2,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b11) ).

fof(f92,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X3,X1,X2)
      | ~ between(X0,X1,X2)
      | X1 = X2
      | between(X0,X3,X1)
      | between(X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7) ).

fof(f93,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X3,X2)
      | ~ between(X0,X1,X2)
      | between(X0,X1,X3)
      | between(X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9) ).

fof(f94,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X3,X2)
      | ~ between(X0,X1,X2)
      | between(X1,X3,X2)
      | between(X3,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b14) ).

fof(f101,axiom,
    ! [X2,X0,X1] :
      ( ~ colinear(X0,X1,X2)
      | colinear(X1,X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_2) ).

fof(f110,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X4,X2,X5)
      | ~ equidistant(X1,X4,X3,X5)
      | ~ equidistant(X0,X1,X2,X3)
      | ~ colinear(X0,X1,X4)
      | colinear(X2,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).

fof(f118,axiom,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).

fof(f119,axiom,
    equidistant(v,w,x,u),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_x_to_u) ).

fof(f120,axiom,
    equidistant(u,w,v,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_w_equals_v_to_x) ).

fof(f121,axiom,
    between(u,y,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',y_between_u_and_w) ).

fof(f122,axiom,
    between(v,y,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',y_between_v_and_x) ).

fof(f123,axiom,
    u != v,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).

fof(f124,axiom,
    x != u,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_not_u) ).

fof(f125,plain,
    u != x,
    inference(reorient_equations,[],[f124]) ).

fof(f126,negated_conjecture,
    colinear(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_uvw_not_colinear) ).

fof(f152,plain,
    between(w,y,u),
    inference(resolution,[],[f58,f121]) ).

fof(f153,plain,
    between(x,y,v),
    inference(resolution,[],[f58,f122]) ).

fof(f155,plain,
    ! [X2,X3,X0,X1] : between(extension(X0,X1,X2,X3),X1,X0),
    inference(resolution,[],[f58,f4]) ).

fof(f241,plain,
    equidistant(w,x,u,v),
    inference(resolution,[],[f26,f118]) ).

fof(f242,plain,
    equidistant(v,x,u,w),
    inference(resolution,[],[f26,f120]) ).

fof(f243,plain,
    equidistant(x,u,v,w),
    inference(resolution,[],[f26,f119]) ).

fof(f248,plain,
    equidistant(v,u,w,x),
    inference(resolution,[],[f27,f118]) ).

fof(f249,plain,
    equidistant(w,u,v,x),
    inference(resolution,[],[f27,f120]) ).

fof(f250,plain,
    equidistant(w,v,x,u),
    inference(resolution,[],[f27,f119]) ).

fof(f255,plain,
    equidistant(u,v,x,w),
    inference(resolution,[],[f28,f118]) ).

fof(f256,plain,
    equidistant(u,w,x,v),
    inference(resolution,[],[f28,f120]) ).

fof(f257,plain,
    equidistant(v,w,u,x),
    inference(resolution,[],[f28,f119]) ).

fof(f262,plain,
    equidistant(v,u,x,w),
    inference(resolution,[],[f29,f118]) ).

fof(f263,plain,
    equidistant(w,u,x,v),
    inference(resolution,[],[f29,f120]) ).

fof(f264,plain,
    equidistant(w,v,u,x),
    inference(resolution,[],[f29,f119]) ).

fof(f277,plain,
    equidistant(w,x,v,u),
    inference(resolution,[],[f30,f118]) ).

fof(f290,plain,
    equidistant(x,w,u,v),
    inference(resolution,[],[f31,f118]) ).

fof(f291,plain,
    equidistant(x,v,u,w),
    inference(resolution,[],[f31,f120]) ).

fof(f292,plain,
    equidistant(u,x,v,w),
    inference(resolution,[],[f31,f119]) ).

fof(f305,plain,
    equidistant(x,w,v,u),
    inference(resolution,[],[f32,f118]) ).

fof(f306,plain,
    equidistant(x,v,w,u),
    inference(resolution,[],[f32,f120]) ).

fof(f307,plain,
    equidistant(u,x,w,v),
    inference(resolution,[],[f32,f119]) ).

fof(f333,definition,
    ( spl0_1
  <=> x = y ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f335,plain,
    ( x = y
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f351,definition,
    ( spl0_5
  <=> v = y ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f352,plain,
    ( v != y
    | spl0_5 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f353,plain,
    ( v = y
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f360,definition,
    ( spl0_7
  <=> u = y ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f361,plain,
    ( u != y
    | spl0_7 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f362,plain,
    ( u = y
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f373,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,extension(X0,X1,X2,X3),X1)
      | extension(X0,X1,X2,X3) = X1 ),
    inference(resolution,[],[f61,f4]) ).

fof(f399,plain,
    ! [X0] :
      ( between(X0,y,x)
      | ~ between(X0,v,x) ),
    inference(resolution,[],[f68,f122]) ).

fof(f406,plain,
    ! [X0] :
      ( ~ between(v,X0,y)
      | between(v,X0,x) ),
    inference(resolution,[],[f69,f122]) ).

fof(f407,plain,
    ! [X0] :
      ( ~ between(w,X0,y)
      | between(w,X0,u) ),
    inference(resolution,[],[f69,f152]) ).

fof(f518,plain,
    ! [X0] :
      ( ~ between(X0,u,y)
      | between(X0,u,w)
      | u = y ),
    inference(resolution,[],[f67,f121]) ).

fof(f519,plain,
    ! [X0] :
      ( ~ between(X0,v,y)
      | between(X0,v,x)
      | v = y ),
    inference(resolution,[],[f67,f122]) ).

fof(f562,definition,
    ( spl0_14
  <=> v = w ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f563,plain,
    ( v != w
    | spl0_14 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f564,plain,
    ( v = w
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f562]) ).

fof(f589,definition,
    ( spl0_20
  <=> ! [X0] :
        ( ~ between(X0,u,y)
        | between(X0,u,w) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f590,plain,
    ( ! [X0] :
        ( ~ between(X0,u,y)
        | between(X0,u,w) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f591,plain,
    ( spl0_7
    | spl0_20 ),
    inference(avatar_split_clause,[],[f518,f589,f360]) ).

fof(f607,definition,
    ( spl0_24
  <=> ! [X0] :
        ( ~ between(X0,v,y)
        | between(X0,v,x) ) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f608,plain,
    ( ! [X0] :
        ( ~ between(X0,v,y)
        | between(X0,v,x) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f609,plain,
    ( spl0_5
    | spl0_24 ),
    inference(avatar_split_clause,[],[f519,f607,f351]) ).

fof(f791,plain,
    ( between(u,v,w)
    | between(v,w,u)
    | between(w,u,v) ),
    inference(resolution,[],[f22,f126]) ).

fof(f808,plain,
    ! [X0] :
      ( ~ between(u,X0,w)
      | between(u,X0,y)
      | between(u,y,X0) ),
    inference(resolution,[],[f93,f121]) ).

fof(f810,plain,
    ! [X0] :
      ( ~ between(v,X0,x)
      | between(v,X0,y)
      | between(v,y,X0) ),
    inference(resolution,[],[f93,f122]) ).

fof(f850,plain,
    ! [X0] :
      ( ~ between(u,X0,w)
      | between(X0,y,w)
      | between(y,X0,w) ),
    inference(resolution,[],[f94,f121]) ).

fof(f853,plain,
    ! [X0] :
      ( ~ between(v,X0,x)
      | between(X0,y,x)
      | between(y,X0,x) ),
    inference(resolution,[],[f94,f122]) ).

fof(f894,definition,
    ( spl0_38
  <=> between(u,v,x) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f896,plain,
    ( ~ between(u,v,x)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f894]) ).

fof(f1179,plain,
    ! [X0] :
      ( ~ between(X0,y,x)
      | x = y
      | between(X0,v,y)
      | between(v,X0,y) ),
    inference(resolution,[],[f92,f122]) ).

fof(f1673,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X3,X0,X1,X2)
      | ~ equidistant(X0,X1,X2,X3)
      | ~ between(X3,X0,X1)
      | between(X1,X2,X3) ),
    inference(resolution,[],[f89,f1]) ).

fof(f1676,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | ~ equidistant(X1,X0,X3,X2)
      | ~ between(X1,X0,X1)
      | between(X3,X2,X3) ),
    inference(resolution,[],[f89,f46]) ).

fof(f1679,plain,
    ! [X0,X1] :
      ( ~ equidistant(u,X0,w,X1)
      | ~ equidistant(X0,v,X1,x)
      | ~ between(u,X0,v)
      | between(w,X1,x) ),
    inference(resolution,[],[f89,f118]) ).

fof(f1681,plain,
    ! [X0,X1] :
      ( ~ equidistant(u,X0,v,X1)
      | ~ equidistant(X0,w,X1,x)
      | ~ between(u,X0,w)
      | between(v,X1,x) ),
    inference(resolution,[],[f89,f120]) ).

fof(f1684,plain,
    ! [X0,X1] :
      ( ~ equidistant(v,X0,x,X1)
      | ~ equidistant(X0,w,X1,u)
      | ~ between(v,X0,w)
      | between(x,X1,u) ),
    inference(resolution,[],[f89,f119]) ).

fof(f1705,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X1,X0,X3,X2)
      | ~ between(X1,X0,X1)
      | between(X3,X2,X3) ),
    inference(forward_subsumption_resolution,[],[f1676,f29]) ).

fof(f1757,plain,
    ! [X0,X1] :
      ( ~ equidistant(u,X0,v,X1)
      | ~ equidistant(X0,w,X1,x)
      | ~ colinear(u,X0,w)
      | colinear(v,X1,x) ),
    inference(resolution,[],[f110,f120]) ).

fof(f2255,definition,
    ( spl0_59
  <=> between(v,u,v) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f2256,plain,
    ( ~ between(v,u,v)
    | spl0_59 ),
    inference(avatar_component_clause,[],[f2255]) ).

fof(f2257,plain,
    ( between(v,u,v)
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f2255]) ).

fof(f2270,plain,
    ( ~ between(u,v,v)
    | u = v
    | ~ spl0_59 ),
    inference(resolution,[],[f2257,f60]) ).

fof(f2290,plain,
    ( u = v
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f2270,f56]) ).

fof(f2299,plain,
    ( $false
    | ~ spl0_59 ),
    inference(forward_subsumption_resolution,[],[f2290,f123]) ).

fof(f2300,plain,
    ~ spl0_59,
    inference(avatar_contradiction_clause,[],[f2299]) ).

fof(f3135,definition,
    ( spl0_78
  <=> between(v,w,u) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f3137,plain,
    ( between(v,w,u)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f3135]) ).

fof(f3139,definition,
    ( spl0_79
  <=> between(u,v,w) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f3141,plain,
    ( between(u,v,w)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f3139]) ).

fof(f3143,definition,
    ( spl0_80
  <=> between(w,u,v) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f3145,plain,
    ( between(w,u,v)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f3143]) ).

fof(f3148,definition,
    ( spl0_81
  <=> between(u,w,v) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f3149,plain,
    ( ~ between(u,w,v)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f3148]) ).

fof(f3152,definition,
    ( spl0_82
  <=> between(v,u,w) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f3153,plain,
    ( ~ between(v,u,w)
    | spl0_82 ),
    inference(avatar_component_clause,[],[f3152]) ).

fof(f3156,definition,
    ( spl0_83
  <=> between(w,v,u) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f3157,plain,
    ( ~ between(w,v,u)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f3156]) ).

fof(f3163,plain,
    ( spl0_80
    | spl0_78
    | spl0_79 ),
    inference(avatar_split_clause,[],[f791,f3139,f3135,f3143]) ).

fof(f3225,definition,
    ( spl0_99
  <=> ! [X0] :
        ( ~ between(X0,y,x)
        | between(v,X0,y)
        | between(X0,v,y) ) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f3226,plain,
    ( ! [X0] :
        ( ~ between(X0,y,x)
        | between(v,X0,y)
        | between(X0,v,y) )
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f3225]) ).

fof(f3227,plain,
    ( spl0_1
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1179,f3225,f333]) ).

fof(f3278,plain,
    ( between(v,u,w)
    | ~ spl0_80 ),
    inference(resolution,[],[f3145,f58]) ).

fof(f3281,plain,
    ( ! [X0] :
        ( ~ between(w,X0,u)
        | between(X0,u,v) )
    | ~ spl0_80 ),
    inference(resolution,[],[f3145,f65]) ).

fof(f3301,plain,
    ( spl0_82
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f3278,f3143,f3152]) ).

fof(f4901,plain,
    ( between(y,u,v)
    | ~ spl0_80 ),
    inference(resolution,[],[f3281,f152]) ).

fof(f4915,plain,
    ( between(v,u,y)
    | ~ spl0_80 ),
    inference(resolution,[],[f4901,f58]) ).

fof(f4956,plain,
    ( between(v,u,x)
    | ~ spl0_80 ),
    inference(resolution,[],[f4915,f406]) ).

fof(f5027,plain,
    ( between(x,u,v)
    | ~ spl0_80 ),
    inference(resolution,[],[f4956,f58]) ).

fof(f5125,plain,
    ( ~ between(x,v,u)
    | u = v
    | ~ spl0_80 ),
    inference(resolution,[],[f5027,f61]) ).

fof(f5144,plain,
    ( ~ between(x,v,u)
    | ~ spl0_80 ),
    inference(forward_subsumption_resolution,[],[f5125,f123]) ).

fof(f5161,definition,
    ( spl0_136
  <=> between(u,x,w) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f5165,definition,
    ( spl0_137
  <=> between(u,w,x) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f5167,plain,
    ( between(u,w,x)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f5165]) ).

fof(f5187,definition,
    ( spl0_139
  <=> between(y,w,x) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f5188,plain,
    ( ~ between(y,w,x)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f5187]) ).

fof(f5189,plain,
    ( between(y,w,x)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f5187]) ).

fof(f5257,definition,
    ( spl0_146
  <=> between(v,w,x) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f5259,plain,
    ( between(v,w,x)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f5257]) ).

fof(f5261,definition,
    ( spl0_147
  <=> between(v,x,w) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f5505,plain,
    ( between(x,w,u)
    | ~ spl0_137 ),
    inference(resolution,[],[f5167,f58]) ).

fof(f5560,plain,
    ( between(x,w,y)
    | ~ spl0_139 ),
    inference(resolution,[],[f5189,f58]) ).

fof(f5595,definition,
    ( spl0_154
  <=> between(w,y,x) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f5596,plain,
    ( between(w,y,x)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f5595]) ).

fof(f5597,plain,
    ( ~ between(w,y,x)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f5595]) ).

fof(f5664,plain,
    ( ~ between(w,v,x)
    | spl0_154 ),
    inference(resolution,[],[f5597,f399]) ).

fof(f5707,plain,
    ( ~ between(x,w,x)
    | between(v,u,v) ),
    inference(resolution,[],[f1705,f305]) ).

fof(f5716,plain,
    ( ~ between(x,w,x)
    | spl0_59 ),
    inference(forward_subsumption_resolution,[],[f5707,f2256]) ).

fof(f9436,plain,
    ( ~ equidistant(x,v,v,x)
    | ~ between(u,x,v)
    | between(w,v,x) ),
    inference(resolution,[],[f1679,f307]) ).

fof(f9450,plain,
    ( ~ equidistant(x,w,w,x)
    | ~ between(u,x,w)
    | between(v,w,x) ),
    inference(resolution,[],[f1681,f292]) ).

fof(f9453,plain,
    ( ~ equidistant(v,w,u,x)
    | ~ between(u,v,w)
    | between(v,u,x) ),
    inference(resolution,[],[f1681,f1]) ).

fof(f9464,plain,
    ( ~ equidistant(u,w,w,u)
    | ~ between(v,u,w)
    | between(x,w,u) ),
    inference(resolution,[],[f1684,f262]) ).

fof(f9467,plain,
    ( ~ equidistant(x,w,v,u)
    | ~ between(v,x,w)
    | between(x,v,u) ),
    inference(resolution,[],[f1684,f1]) ).

fof(f9477,plain,
    ( ~ between(v,x,w)
    | between(x,v,u) ),
    inference(forward_subsumption_resolution,[],[f9467,f305]) ).

fof(f9493,plain,
    ( between(x,w,v)
    | ~ spl0_146 ),
    inference(resolution,[],[f5259,f58]) ).

fof(f9569,definition,
    ( spl0_263
  <=> between(v,y,w) ),
    introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).

fof(f9571,plain,
    ( between(v,y,w)
    | ~ spl0_263 ),
    inference(avatar_component_clause,[],[f9569]) ).

fof(f9573,definition,
    ( spl0_264
  <=> between(v,w,y) ),
    introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).

fof(f9574,plain,
    ( ~ between(v,w,y)
    | spl0_264 ),
    inference(avatar_component_clause,[],[f9573]) ).

fof(f9575,plain,
    ( between(v,w,y)
    | ~ spl0_264 ),
    inference(avatar_component_clause,[],[f9573]) ).

fof(f9600,definition,
    ( spl0_266
  <=> colinear(u,x,v) ),
    introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).

fof(f9601,plain,
    ( colinear(u,x,v)
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f9600]) ).

fof(f9608,plain,
    ( ~ equidistant(v,w,u,x)
    | ~ colinear(u,v,w)
    | colinear(v,u,x) ),
    inference(resolution,[],[f1757,f1]) ).

fof(f9618,plain,
    ( ~ colinear(u,v,w)
    | colinear(v,u,x) ),
    inference(forward_subsumption_resolution,[],[f9608,f257]) ).

fof(f9620,plain,
    colinear(v,u,x),
    inference(forward_subsumption_resolution,[],[f9618,f126]) ).

fof(f9671,definition,
    ( spl0_269
  <=> colinear(x,v,u) ),
    introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).

fof(f9673,plain,
    ( colinear(x,v,u)
    | ~ spl0_269 ),
    inference(avatar_component_clause,[],[f9671]) ).

fof(f9682,plain,
    ( between(v,u,x)
    | between(u,x,v)
    | between(x,v,u) ),
    inference(resolution,[],[f9620,f22]) ).

fof(f9684,plain,
    colinear(u,x,v),
    inference(resolution,[],[f9620,f101]) ).

fof(f9703,plain,
    spl0_266,
    inference(avatar_split_clause,[],[f9684,f9600]) ).

fof(f10628,plain,
    ( ~ equidistant(w,v,x,u)
    | ~ between(u,w,v)
    | between(v,x,u) ),
    inference(resolution,[],[f1673,f120]) ).

fof(f10630,plain,
    ( ~ equidistant(x,v,w,u)
    | ~ between(u,x,v)
    | between(v,w,u) ),
    inference(resolution,[],[f1673,f292]) ).

fof(f10631,plain,
    ( ~ equidistant(w,x,v,u)
    | ~ between(u,w,x)
    | between(x,v,u) ),
    inference(resolution,[],[f1673,f256]) ).

fof(f10633,plain,
    ( ~ equidistant(w,x,u,v)
    | ~ between(v,w,x)
    | between(x,u,v) ),
    inference(resolution,[],[f1673,f119]) ).

fof(f10634,plain,
    ( ~ equidistant(w,u,x,v)
    | ~ between(v,w,u)
    | between(u,x,v) ),
    inference(resolution,[],[f1673,f257]) ).

fof(f10639,plain,
    ( ~ equidistant(x,u,v,w)
    | ~ between(w,x,u)
    | between(u,v,w) ),
    inference(resolution,[],[f1673,f241]) ).

fof(f10641,plain,
    ( ~ equidistant(u,v,x,w)
    | ~ between(w,u,v)
    | between(v,x,w) ),
    inference(resolution,[],[f1673,f249]) ).

fof(f10643,plain,
    ( ~ equidistant(v,x,u,w)
    | ~ between(w,v,x)
    | between(x,u,w) ),
    inference(resolution,[],[f1673,f250]) ).

fof(f10644,plain,
    ( ~ equidistant(v,u,x,w)
    | ~ between(w,v,u)
    | between(u,x,w) ),
    inference(resolution,[],[f1673,f264]) ).

fof(f10645,plain,
    ( ~ equidistant(u,v,w,x)
    | ~ between(x,u,v)
    | between(v,w,x) ),
    inference(resolution,[],[f1673,f243]) ).

fof(f10647,plain,
    ( ~ equidistant(w,u,v,x)
    | ~ between(x,w,u)
    | between(u,v,x) ),
    inference(resolution,[],[f1673,f290]) ).

fof(f10648,plain,
    ( ~ equidistant(w,v,u,x)
    | ~ between(x,w,v)
    | between(v,u,x) ),
    inference(resolution,[],[f1673,f305]) ).

fof(f10649,plain,
    ( ~ equidistant(v,u,w,x)
    | ~ between(x,v,u)
    | between(u,w,x) ),
    inference(resolution,[],[f1673,f291]) ).

fof(f10652,plain,
    ( ~ between(x,w,u)
    | between(u,v,x) ),
    inference(forward_subsumption_resolution,[],[f10647,f249]) ).

fof(f10653,plain,
    ( ~ between(w,u,v)
    | between(v,x,w) ),
    inference(forward_subsumption_resolution,[],[f10641,f255]) ).

fof(f10655,plain,
    ( ~ between(u,w,x)
    | between(x,v,u) ),
    inference(forward_subsumption_resolution,[],[f10631,f277]) ).

fof(f10657,plain,
    ( between(u,v,x)
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f10652,f5505]) ).

fof(f10660,plain,
    ( between(x,v,u)
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f10655,f5167]) ).

fof(f10665,plain,
    ( $false
    | ~ spl0_80
    | ~ spl0_137 ),
    inference(forward_subsumption_resolution,[],[f10660,f5144]) ).

fof(f10666,plain,
    ( ~ spl0_80
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f10665]) ).

fof(f10695,definition,
    ( spl0_292
  <=> between(w,x,u) ),
    introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).

fof(f10997,plain,
    ( ~ between(w,x,u)
    | between(u,v,w) ),
    inference(forward_subsumption_resolution,[],[f10639,f243]) ).

fof(f11008,plain,
    ( ~ between(w,v,u)
    | between(u,x,w) ),
    inference(forward_subsumption_resolution,[],[f10644,f262]) ).

fof(f11011,plain,
    ( ~ between(u,w,v)
    | between(v,x,u) ),
    inference(forward_subsumption_resolution,[],[f10628,f250]) ).

fof(f11013,plain,
    ( ~ between(u,x,v)
    | between(w,v,x) ),
    inference(forward_subsumption_resolution,[],[f9436,f1]) ).

fof(f11016,definition,
    ( spl0_357
  <=> between(x,v,u) ),
    introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).

fof(f11017,plain,
    ( ~ between(x,v,u)
    | spl0_357 ),
    inference(avatar_component_clause,[],[f11016]) ).

fof(f11019,plain,
    ( spl0_357
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f9477,f5261,f11016]) ).

fof(f11021,definition,
    ( spl0_358
  <=> between(u,x,v) ),
    introduced(definition,[new_symbols(definition,[spl0_358])],[avatar_definition]) ).

fof(f11025,definition,
    ( spl0_359
  <=> between(v,u,x) ),
    introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition]) ).

fof(f11027,plain,
    ( between(v,u,x)
    | ~ spl0_359 ),
    inference(avatar_component_clause,[],[f11025]) ).

fof(f11028,plain,
    ( spl0_357
    | spl0_358
    | spl0_359 ),
    inference(avatar_split_clause,[],[f9682,f11025,f11021,f11016]) ).

fof(f11030,definition,
    ( spl0_360
  <=> between(v,u,y) ),
    introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).

fof(f11031,plain,
    ( ~ between(v,u,y)
    | spl0_360 ),
    inference(avatar_component_clause,[],[f11030]) ).

fof(f11034,definition,
    ( spl0_361
  <=> between(u,v,y) ),
    introduced(definition,[new_symbols(definition,[spl0_361])],[avatar_definition]) ).

fof(f11035,plain,
    ( ~ between(u,v,y)
    | spl0_361 ),
    inference(avatar_component_clause,[],[f11034]) ).

fof(f11036,plain,
    ( between(u,v,y)
    | ~ spl0_361 ),
    inference(avatar_component_clause,[],[f11034]) ).

fof(f11039,definition,
    ( spl0_362
  <=> between(v,x,u) ),
    introduced(definition,[new_symbols(definition,[spl0_362])],[avatar_definition]) ).

fof(f11043,definition,
    ( spl0_363
  <=> between(x,u,v) ),
    introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).

fof(f11045,plain,
    ( between(x,u,v)
    | ~ spl0_363 ),
    inference(avatar_component_clause,[],[f11043]) ).

fof(f11047,plain,
    ( ~ between(x,w,v)
    | between(v,u,x) ),
    inference(forward_subsumption_resolution,[],[f10648,f264]) ).

fof(f11049,plain,
    ( ~ between(v,w,x)
    | between(x,u,v) ),
    inference(forward_subsumption_resolution,[],[f10633,f241]) ).

fof(f11050,plain,
    ( ~ between(u,x,v)
    | between(v,w,u) ),
    inference(forward_subsumption_resolution,[],[f10630,f306]) ).

fof(f11051,plain,
    ( spl0_147
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f10653,f3143,f5261]) ).

fof(f11060,plain,
    ( ~ between(u,v,w)
    | between(v,u,x) ),
    inference(forward_subsumption_resolution,[],[f9453,f257]) ).

fof(f11064,plain,
    ( ~ between(v,w,u)
    | between(u,x,v) ),
    inference(forward_subsumption_resolution,[],[f10634,f263]) ).

fof(f11068,plain,
    ( spl0_38
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f10657,f5165,f894]) ).

fof(f11174,definition,
    ( spl0_391
  <=> between(w,v,x) ),
    introduced(definition,[new_symbols(definition,[spl0_391])],[avatar_definition]) ).

fof(f11232,plain,
    ( ~ between(w,v,x)
    | between(x,u,w) ),
    inference(forward_subsumption_resolution,[],[f10643,f242]) ).

fof(f11284,definition,
    ( spl0_412
  <=> between(x,u,y) ),
    introduced(definition,[new_symbols(definition,[spl0_412])],[avatar_definition]) ).

fof(f11285,plain,
    ( between(x,u,y)
    | ~ spl0_412 ),
    inference(avatar_component_clause,[],[f11284]) ).

fof(f11286,plain,
    ( ~ between(x,u,y)
    | spl0_412 ),
    inference(avatar_component_clause,[],[f11284]) ).

fof(f11430,definition,
    ( spl0_442
  <=> between(y,v,w) ),
    introduced(definition,[new_symbols(definition,[spl0_442])],[avatar_definition]) ).

fof(f11431,plain,
    ( between(y,v,w)
    | ~ spl0_442 ),
    inference(avatar_component_clause,[],[f11430]) ).

fof(f11439,plain,
    ( spl0_79
    | ~ spl0_292 ),
    inference(avatar_split_clause,[],[f10997,f10695,f3139]) ).

fof(f11442,plain,
    ( spl0_136
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f11008,f3156,f5161]) ).

fof(f11445,plain,
    ( spl0_362
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f11011,f3148,f11039]) ).

fof(f11446,plain,
    ( spl0_391
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f11013,f11021,f11174]) ).

fof(f11456,plain,
    ( between(v,u,x)
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f11047,f9493]) ).

fof(f11459,plain,
    ( spl0_78
    | ~ spl0_358 ),
    inference(avatar_split_clause,[],[f11050,f11021,f3135]) ).

fof(f11462,plain,
    ( spl0_359
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f11060,f3139,f11025]) ).

fof(f11465,plain,
    ( spl0_358
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f11064,f3135,f11021]) ).

fof(f11470,plain,
    ( spl0_359
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f11456,f5257,f11025]) ).

fof(f11474,plain,
    ( ~ between(v,u,w)
    | between(x,w,u) ),
    inference(forward_subsumption_resolution,[],[f9464,f1]) ).

fof(f11476,definition,
    ( spl0_446
  <=> between(x,w,u) ),
    introduced(definition,[new_symbols(definition,[spl0_446])],[avatar_definition]) ).

fof(f11486,definition,
    ( spl0_448
  <=> between(x,u,w) ),
    introduced(definition,[new_symbols(definition,[spl0_448])],[avatar_definition]) ).

fof(f11488,plain,
    ( between(x,u,w)
    | ~ spl0_448 ),
    inference(avatar_component_clause,[],[f11486]) ).

fof(f11495,plain,
    ( spl0_38
    | ~ spl0_446 ),
    inference(avatar_split_clause,[],[f10652,f11476,f894]) ).

fof(f11498,plain,
    ( ~ between(x,v,u)
    | between(u,w,x) ),
    inference(forward_subsumption_resolution,[],[f10649,f248]) ).

fof(f11503,plain,
    ( spl0_448
    | ~ spl0_391 ),
    inference(avatar_split_clause,[],[f11232,f11174,f11486]) ).

fof(f11665,plain,
    ( spl0_446
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f11474,f3152,f11476]) ).

fof(f11668,plain,
    ( spl0_137
    | ~ spl0_357 ),
    inference(avatar_split_clause,[],[f11498,f11016,f5165]) ).

fof(f11791,plain,
    ( between(u,v,w)
    | ~ spl0_5 ),
    inference(superposition,[],[f121,f353]) ).

fof(f11793,plain,
    ( between(w,v,u)
    | ~ spl0_5 ),
    inference(superposition,[],[f152,f353]) ).

fof(f11845,plain,
    ( between(v,u,x)
    | ~ spl0_7 ),
    inference(superposition,[],[f122,f362]) ).

fof(f11847,plain,
    ( between(x,u,v)
    | ~ spl0_7 ),
    inference(superposition,[],[f153,f362]) ).

fof(f11875,plain,
    ( between(v,u,w)
    | ~ spl0_7
    | ~ spl0_263 ),
    inference(superposition,[],[f9571,f362]) ).

fof(f11888,plain,
    ( spl0_363
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f11847,f360,f11043]) ).

fof(f11889,plain,
    ( spl0_359
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f11845,f360,f11025]) ).

fof(f11910,plain,
    ( ~ between(x,u,v)
    | ~ spl0_5
    | spl0_412 ),
    inference(forward_demodulation,[],[f11286,f353]) ).

fof(f11918,plain,
    ( ~ spl0_363
    | ~ spl0_5
    | spl0_412 ),
    inference(avatar_split_clause,[],[f11910,f11284,f351,f11043]) ).

fof(f11922,plain,
    ( ~ between(x,u,v)
    | between(v,w,x) ),
    inference(forward_subsumption_resolution,[],[f10645,f118]) ).

fof(f11924,plain,
    ( ~ between(u,x,w)
    | between(v,w,x) ),
    inference(forward_subsumption_resolution,[],[f9450,f1]) ).

fof(f11927,plain,
    ( ~ between(v,v,x)
    | between(x,u,v)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f11049,f564]) ).

fof(f11940,plain,
    ( between(x,u,v)
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f11927,f59]) ).

fof(f11945,plain,
    ( spl0_363
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f11940,f562,f11043]) ).

fof(f12196,plain,
    ( spl0_83
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f11793,f351,f3156]) ).

fof(f12197,plain,
    ( spl0_79
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f11791,f351,f3139]) ).

fof(f12208,plain,
    ( spl0_363
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f11049,f5257,f11043]) ).

fof(f12210,plain,
    ( spl0_146
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f11922,f11043,f5257]) ).

fof(f12212,plain,
    ( spl0_146
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f11924,f5161,f5257]) ).

fof(f12276,plain,
    ( ~ between(v,w,x)
    | ~ spl0_5
    | spl0_139 ),
    inference(forward_demodulation,[],[f5188,f353]) ).

fof(f12286,plain,
    ( ~ spl0_146
    | ~ spl0_5
    | spl0_139 ),
    inference(avatar_split_clause,[],[f12276,f5187,f351,f5257]) ).

fof(f12299,plain,
    ( ~ spl0_391
    | spl0_154 ),
    inference(avatar_split_clause,[],[f5664,f5595,f11174]) ).

fof(f12312,plain,
    ( between(u,v,y)
    | between(u,y,v)
    | ~ spl0_79 ),
    inference(resolution,[],[f3141,f808]) ).

fof(f12314,plain,
    ( between(w,v,u)
    | ~ spl0_79 ),
    inference(resolution,[],[f3141,f58]) ).

fof(f12364,plain,
    ( spl0_83
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f12314,f3139,f3156]) ).

fof(f12367,definition,
    ( spl0_484
  <=> between(u,y,v) ),
    introduced(definition,[new_symbols(definition,[spl0_484])],[avatar_definition]) ).

fof(f12369,plain,
    ( between(u,y,v)
    | ~ spl0_484 ),
    inference(avatar_component_clause,[],[f12367]) ).

fof(f12370,plain,
    ( spl0_484
    | spl0_361
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f12312,f3139,f11034,f12367]) ).

fof(f13147,plain,
    ( between(v,w,x)
    | ~ spl0_264 ),
    inference(resolution,[],[f9575,f406]) ).

fof(f13151,plain,
    ( ~ between(w,v,y)
    | v = w
    | ~ spl0_264 ),
    inference(resolution,[],[f9575,f60]) ).

fof(f13243,plain,
    ( ~ between(w,v,y)
    | spl0_14
    | ~ spl0_264 ),
    inference(forward_subsumption_resolution,[],[f13151,f563]) ).

fof(f13650,plain,
    ( between(x,u,v)
    | ~ spl0_359 ),
    inference(resolution,[],[f11027,f58]) ).

fof(f13651,plain,
    ( ~ between(u,v,x)
    | u = v
    | ~ spl0_359 ),
    inference(resolution,[],[f11027,f60]) ).

fof(f13652,plain,
    ( ~ between(v,x,u)
    | u = x
    | ~ spl0_359 ),
    inference(resolution,[],[f11027,f61]) ).

fof(f13735,plain,
    ( ~ between(v,x,u)
    | ~ spl0_359 ),
    inference(forward_subsumption_resolution,[],[f13652,f125]) ).

fof(f13736,plain,
    ( ~ between(u,v,x)
    | ~ spl0_359 ),
    inference(forward_subsumption_resolution,[],[f13651,f123]) ).

fof(f13737,plain,
    ( spl0_363
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f13650,f11025,f11043]) ).

fof(f13740,definition,
    ( spl0_498
  <=> between(v,y,u) ),
    introduced(definition,[new_symbols(definition,[spl0_498])],[avatar_definition]) ).

fof(f13742,plain,
    ( between(v,y,u)
    | ~ spl0_498 ),
    inference(avatar_component_clause,[],[f13740]) ).

fof(f13745,definition,
    ( spl0_499
  <=> between(y,u,x) ),
    introduced(definition,[new_symbols(definition,[spl0_499])],[avatar_definition]) ).

fof(f13747,plain,
    ( between(y,u,x)
    | ~ spl0_499 ),
    inference(avatar_component_clause,[],[f13745]) ).

fof(f13749,definition,
    ( spl0_500
  <=> between(u,y,x) ),
    introduced(definition,[new_symbols(definition,[spl0_500])],[avatar_definition]) ).

fof(f13751,plain,
    ( between(u,y,x)
    | ~ spl0_500 ),
    inference(avatar_component_clause,[],[f13749]) ).

fof(f13753,plain,
    ( ~ spl0_362
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f13735,f11025,f11039]) ).

fof(f13754,plain,
    ( ~ spl0_38
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f13736,f11025,f894]) ).

fof(f13920,plain,
    ( between(v,y,u)
    | ~ spl0_484 ),
    inference(resolution,[],[f12369,f58]) ).

fof(f14006,plain,
    ( spl0_498
    | ~ spl0_484 ),
    inference(avatar_split_clause,[],[f13920,f12367,f13740]) ).

fof(f15055,plain,
    ( ~ between(u,x,v)
    | u = x
    | ~ spl0_363 ),
    inference(resolution,[],[f11045,f60]) ).

fof(f15056,plain,
    ( ~ between(x,v,u)
    | u = v
    | ~ spl0_363 ),
    inference(resolution,[],[f11045,f61]) ).

fof(f15143,plain,
    ( ~ between(x,v,u)
    | ~ spl0_363 ),
    inference(forward_subsumption_resolution,[],[f15056,f123]) ).

fof(f15145,plain,
    ( ~ spl0_357
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f15143,f11043,f11016]) ).

fof(f15286,plain,
    ( between(w,v,y)
    | ~ spl0_442 ),
    inference(resolution,[],[f11431,f58]) ).

fof(f15409,plain,
    ( ~ between(u,x,v)
    | ~ spl0_363 ),
    inference(forward_subsumption_resolution,[],[f15055,f125]) ).

fof(f15586,plain,
    ( ~ spl0_358
    | ~ spl0_363 ),
    inference(avatar_split_clause,[],[f15409,f11043,f11021]) ).

fof(f15652,plain,
    ( ~ between(u,v,v)
    | ~ spl0_14
    | spl0_81 ),
    inference(superposition,[],[f3149,f564]) ).

fof(f15680,plain,
    ( $false
    | ~ spl0_14
    | spl0_81 ),
    inference(forward_subsumption_resolution,[],[f15652,f56]) ).

fof(f15681,plain,
    ( ~ spl0_14
    | spl0_81 ),
    inference(avatar_contradiction_clause,[],[f15680]) ).

fof(f16165,plain,
    ( between(u,v,x)
    | ~ spl0_24
    | ~ spl0_361 ),
    inference(resolution,[],[f11036,f608]) ).

fof(f16256,plain,
    ( $false
    | ~ spl0_24
    | spl0_38
    | ~ spl0_361 ),
    inference(forward_subsumption_resolution,[],[f16165,f896]) ).

fof(f16257,plain,
    ( ~ spl0_24
    | spl0_38
    | ~ spl0_361 ),
    inference(avatar_contradiction_clause,[],[f16256]) ).

fof(f16258,plain,
    ( $false
    | ~ spl0_7
    | spl0_82
    | ~ spl0_263 ),
    inference(forward_subsumption_resolution,[],[f11875,f3153]) ).

fof(f16259,plain,
    ( ~ spl0_7
    | spl0_82
    | ~ spl0_263 ),
    inference(avatar_contradiction_clause,[],[f16258]) ).

fof(f16299,plain,
    ( ~ between(w,v,u)
    | v = w
    | ~ spl0_78 ),
    inference(resolution,[],[f3137,f60]) ).

fof(f16367,plain,
    ( ~ between(w,v,u)
    | spl0_14
    | ~ spl0_78 ),
    inference(forward_subsumption_resolution,[],[f16299,f563]) ).

fof(f16380,plain,
    ( ~ spl0_83
    | spl0_14
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f16367,f3135,f562,f3156]) ).

fof(f17514,plain,
    ( ~ between(u,x,w)
    | u = x
    | ~ spl0_448 ),
    inference(resolution,[],[f11488,f60]) ).

fof(f17602,plain,
    ( ~ between(u,x,w)
    | ~ spl0_448 ),
    inference(forward_subsumption_resolution,[],[f17514,f125]) ).

fof(f17614,plain,
    ( ~ spl0_136
    | ~ spl0_448 ),
    inference(avatar_split_clause,[],[f17602,f11486,f5161]) ).

fof(f18258,plain,
    ( between(v,w,y)
    | between(w,v,y)
    | ~ spl0_99
    | ~ spl0_154 ),
    inference(resolution,[],[f5596,f3226]) ).

fof(f18398,plain,
    ( between(w,v,y)
    | ~ spl0_99
    | ~ spl0_154
    | spl0_264 ),
    inference(forward_subsumption_resolution,[],[f18258,f9574]) ).

fof(f18587,definition,
    ( spl0_584
  <=> between(x,w,y) ),
    introduced(definition,[new_symbols(definition,[spl0_584])],[avatar_definition]) ).

fof(f18588,plain,
    ( between(x,w,y)
    | ~ spl0_584 ),
    inference(avatar_component_clause,[],[f18587]) ).

fof(f18750,plain,
    ( between(x,u,w)
    | ~ spl0_20
    | ~ spl0_412 ),
    inference(resolution,[],[f11285,f590]) ).

fof(f18987,plain,
    ( u = y
    | x = extension(y,u,u,x)
    | ~ spl0_499 ),
    inference(resolution,[],[f13747,f50]) ).

fof(f19081,plain,
    ( x = extension(y,u,u,x)
    | spl0_7
    | ~ spl0_499 ),
    inference(forward_subsumption_resolution,[],[f18987,f361]) ).

fof(f22505,plain,
    ( between(x,u,y)
    | spl0_7
    | ~ spl0_499 ),
    inference(superposition,[],[f155,f19081]) ).

fof(f28205,plain,
    ( v = y
    | u = extension(v,y,y,u)
    | ~ spl0_498 ),
    inference(resolution,[],[f13742,f50]) ).

fof(f28329,plain,
    ( u = extension(v,y,y,u)
    | spl0_5
    | ~ spl0_498 ),
    inference(forward_subsumption_resolution,[],[f28205,f352]) ).

fof(f30575,plain,
    ( ~ between(v,u,y)
    | u = y
    | spl0_5
    | ~ spl0_498 ),
    inference(superposition,[],[f373,f28329]) ).

fof(f32594,plain,
    ( colinear(x,v,u)
    | ~ spl0_266 ),
    inference(resolution,[],[f9601,f101]) ).

fof(f32612,plain,
    ( spl0_269
    | ~ spl0_266 ),
    inference(avatar_split_clause,[],[f32594,f9600,f9671]) ).

fof(f32764,plain,
    ( between(x,v,u)
    | between(v,u,x)
    | between(u,x,v)
    | ~ spl0_269 ),
    inference(resolution,[],[f9673,f22]) ).

fof(f36043,plain,
    ( between(w,v,u)
    | ~ spl0_99
    | ~ spl0_154
    | spl0_264 ),
    inference(resolution,[],[f407,f18398]) ).

fof(f36044,plain,
    ( $false
    | spl0_83
    | ~ spl0_99
    | ~ spl0_154
    | spl0_264 ),
    inference(forward_subsumption_resolution,[],[f36043,f3157]) ).

fof(f36045,plain,
    ( spl0_83
    | ~ spl0_99
    | ~ spl0_154
    | spl0_264 ),
    inference(avatar_contradiction_clause,[],[f36044]) ).

fof(f36059,definition,
    ( spl0_889
  <=> between(w,v,y) ),
    introduced(definition,[new_symbols(definition,[spl0_889])],[avatar_definition]) ).

fof(f36072,plain,
    ( spl0_889
    | ~ spl0_442 ),
    inference(avatar_split_clause,[],[f15286,f11430,f36059]) ).

fof(f36120,plain,
    ( spl0_412
    | spl0_7
    | ~ spl0_499 ),
    inference(avatar_split_clause,[],[f22505,f13745,f360,f11284]) ).

fof(f36126,plain,
    ( between(u,x,w)
    | ~ spl0_1 ),
    inference(superposition,[],[f121,f335]) ).

fof(f36128,plain,
    ( between(w,x,u)
    | ~ spl0_1 ),
    inference(superposition,[],[f152,f335]) ).

fof(f36187,plain,
    ( between(u,x,v)
    | ~ spl0_1
    | ~ spl0_484 ),
    inference(superposition,[],[f12369,f335]) ).

fof(f36333,plain,
    ( spl0_146
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f13147,f9573,f5257]) ).

fof(f36355,plain,
    ( between(x,w,x)
    | ~ spl0_1
    | ~ spl0_584 ),
    inference(forward_demodulation,[],[f18588,f335]) ).

fof(f36524,plain,
    ( ~ between(v,u,y)
    | spl0_5
    | spl0_7
    | ~ spl0_498 ),
    inference(forward_subsumption_resolution,[],[f30575,f361]) ).

fof(f36546,plain,
    ( between(v,u,x)
    | between(u,x,v)
    | ~ spl0_269
    | spl0_357 ),
    inference(forward_subsumption_resolution,[],[f32764,f11017]) ).

fof(f36550,plain,
    ( spl0_358
    | ~ spl0_1
    | ~ spl0_484 ),
    inference(avatar_split_clause,[],[f36187,f12367,f333,f11021]) ).

fof(f36558,plain,
    ( spl0_292
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f36128,f333,f10695]) ).

fof(f36590,plain,
    ( spl0_136
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f36126,f333,f5161]) ).

fof(f36733,plain,
    ( $false
    | ~ spl0_1
    | spl0_59
    | ~ spl0_584 ),
    inference(forward_subsumption_resolution,[],[f36355,f5716]) ).

fof(f36734,plain,
    ( ~ spl0_1
    | spl0_59
    | ~ spl0_584 ),
    inference(avatar_contradiction_clause,[],[f36733]) ).

fof(f36793,plain,
    ( spl0_358
    | spl0_359
    | ~ spl0_269
    | spl0_357 ),
    inference(avatar_split_clause,[],[f36546,f11016,f9671,f11025,f11021]) ).

fof(f36980,plain,
    ( ~ spl0_889
    | spl0_14
    | ~ spl0_264 ),
    inference(avatar_split_clause,[],[f13243,f9573,f562,f36059]) ).

fof(f37103,plain,
    ( ~ spl0_360
    | spl0_5
    | spl0_7
    | ~ spl0_498 ),
    inference(avatar_split_clause,[],[f36524,f13740,f360,f351,f11030]) ).

fof(f37104,plain,
    ( spl0_584
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f5560,f5187,f18587]) ).

fof(f37106,plain,
    ( spl0_448
    | ~ spl0_20
    | ~ spl0_412 ),
    inference(avatar_split_clause,[],[f18750,f11284,f589,f11486]) ).

fof(f37122,plain,
    ( between(v,y,w)
    | between(y,v,w)
    | ~ spl0_79 ),
    inference(resolution,[],[f3141,f850]) ).

fof(f37218,plain,
    ( spl0_442
    | spl0_263
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f37122,f3139,f9569,f11430]) ).

fof(f37331,plain,
    ( between(v,w,y)
    | between(v,y,w)
    | ~ spl0_146 ),
    inference(resolution,[],[f5259,f810]) ).

fof(f37456,plain,
    ( spl0_263
    | spl0_264
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f37331,f5257,f9573,f9569]) ).

fof(f37600,plain,
    ( between(u,y,x)
    | between(y,u,x)
    | ~ spl0_359 ),
    inference(resolution,[],[f11027,f853]) ).

fof(f37727,plain,
    ( spl0_499
    | spl0_500
    | ~ spl0_359 ),
    inference(avatar_split_clause,[],[f37600,f11025,f13749,f13745]) ).

fof(f37870,plain,
    ( between(v,u,y)
    | between(u,v,y)
    | ~ spl0_99
    | ~ spl0_500 ),
    inference(resolution,[],[f13751,f3226]) ).

fof(f37995,plain,
    ( between(u,v,y)
    | ~ spl0_99
    | spl0_360
    | ~ spl0_500 ),
    inference(forward_subsumption_resolution,[],[f37870,f11031]) ).

fof(f37998,plain,
    ( $false
    | ~ spl0_99
    | spl0_360
    | spl0_361
    | ~ spl0_500 ),
    inference(forward_subsumption_resolution,[],[f37995,f11035]) ).

fof(f37999,plain,
    ( ~ spl0_99
    | spl0_360
    | spl0_361
    | ~ spl0_500 ),
    inference(avatar_contradiction_clause,[],[f37998]) ).

cnf(s14,plain,
    ( spl0_7
    | spl0_20 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s18,plain,
    ( spl0_5
    | spl0_24 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s88,plain,
    ~ spl0_59,
    inference(sat_conversion,[],[f2300]) ).

cnf(s124,plain,
    ( spl0_78
    | spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f3163]) ).

cnf(s140,plain,
    ( spl0_1
    | spl0_99 ),
    inference(sat_conversion,[],[f3227]) ).

cnf(s141,plain,
    ( ~ spl0_80
    | spl0_82 ),
    inference(sat_conversion,[],[f3301]) ).

cnf(s389,plain,
    spl0_266,
    inference(sat_conversion,[],[f9703]) ).

cnf(s421,plain,
    ( ~ spl0_80
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f10666]) ).

cnf(s540,plain,
    ( ~ spl0_147
    | spl0_357 ),
    inference(sat_conversion,[],[f11019]) ).

cnf(s541,plain,
    ( spl0_357
    | spl0_358
    | spl0_359 ),
    inference(sat_conversion,[],[f11028]) ).

cnf(s544,plain,
    ( ~ spl0_80
    | spl0_147 ),
    inference(sat_conversion,[],[f11051]) ).

cnf(s549,plain,
    ( spl0_38
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f11068]) ).

cnf(s672,plain,
    ( spl0_79
    | ~ spl0_292 ),
    inference(sat_conversion,[],[f11439]) ).

cnf(s675,plain,
    ( ~ spl0_83
    | spl0_136 ),
    inference(sat_conversion,[],[f11442]) ).

cnf(s676,plain,
    ( ~ spl0_81
    | spl0_362 ),
    inference(sat_conversion,[],[f11445]) ).

cnf(s677,plain,
    ( ~ spl0_358
    | spl0_391 ),
    inference(sat_conversion,[],[f11446]) ).

cnf(s680,plain,
    ( spl0_78
    | ~ spl0_358 ),
    inference(sat_conversion,[],[f11459]) ).

cnf(s684,plain,
    ( ~ spl0_79
    | spl0_359 ),
    inference(sat_conversion,[],[f11462]) ).

cnf(s688,plain,
    ( ~ spl0_78
    | spl0_358 ),
    inference(sat_conversion,[],[f11465]) ).

cnf(s691,plain,
    ( ~ spl0_146
    | spl0_359 ),
    inference(sat_conversion,[],[f11470]) ).

cnf(s709,plain,
    ( spl0_38
    | ~ spl0_446 ),
    inference(sat_conversion,[],[f11495]) ).

cnf(s714,plain,
    ( ~ spl0_391
    | spl0_448 ),
    inference(sat_conversion,[],[f11503]) ).

cnf(s769,plain,
    ( ~ spl0_82
    | spl0_446 ),
    inference(sat_conversion,[],[f11665]) ).

cnf(s772,plain,
    ( spl0_137
    | ~ spl0_357 ),
    inference(sat_conversion,[],[f11668]) ).

cnf(s787,plain,
    ( ~ spl0_7
    | spl0_363 ),
    inference(sat_conversion,[],[f11888]) ).

cnf(s788,plain,
    ( ~ spl0_7
    | spl0_359 ),
    inference(sat_conversion,[],[f11889]) ).

cnf(s793,plain,
    ( ~ spl0_5
    | ~ spl0_363
    | spl0_412 ),
    inference(sat_conversion,[],[f11918]) ).

cnf(s796,plain,
    ( ~ spl0_14
    | spl0_363 ),
    inference(sat_conversion,[],[f11945]) ).

cnf(s812,plain,
    ( ~ spl0_5
    | spl0_83 ),
    inference(sat_conversion,[],[f12196]) ).

cnf(s813,plain,
    ( ~ spl0_5
    | spl0_79 ),
    inference(sat_conversion,[],[f12197]) ).

cnf(s818,plain,
    ( ~ spl0_146
    | spl0_363 ),
    inference(sat_conversion,[],[f12208]) ).

cnf(s820,plain,
    ( spl0_146
    | ~ spl0_363 ),
    inference(sat_conversion,[],[f12210]) ).

cnf(s822,plain,
    ( ~ spl0_136
    | spl0_146 ),
    inference(sat_conversion,[],[f12212]) ).

cnf(s871,plain,
    ( ~ spl0_5
    | spl0_139
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f12286]) ).

cnf(s892,plain,
    ( spl0_154
    | ~ spl0_391 ),
    inference(sat_conversion,[],[f12299]) ).

cnf(s906,plain,
    ( ~ spl0_79
    | spl0_83 ),
    inference(sat_conversion,[],[f12364]) ).

cnf(s907,plain,
    ( ~ spl0_79
    | spl0_361
    | spl0_484 ),
    inference(sat_conversion,[],[f12370]) ).

cnf(s1037,plain,
    ( ~ spl0_359
    | spl0_363 ),
    inference(sat_conversion,[],[f13737]) ).

cnf(s1040,plain,
    ( ~ spl0_359
    | ~ spl0_362 ),
    inference(sat_conversion,[],[f13753]) ).

cnf(s1041,plain,
    ( ~ spl0_38
    | ~ spl0_359 ),
    inference(sat_conversion,[],[f13754]) ).

cnf(s1045,plain,
    ( ~ spl0_484
    | spl0_498 ),
    inference(sat_conversion,[],[f14006]) ).

cnf(s1059,plain,
    ( ~ spl0_357
    | ~ spl0_363 ),
    inference(sat_conversion,[],[f15145]) ).

cnf(s1208,plain,
    ( ~ spl0_358
    | ~ spl0_363 ),
    inference(sat_conversion,[],[f15586]) ).

cnf(s1216,plain,
    ( ~ spl0_14
    | spl0_81 ),
    inference(sat_conversion,[],[f15681]) ).

cnf(s1370,plain,
    ( ~ spl0_24
    | spl0_38
    | ~ spl0_361 ),
    inference(sat_conversion,[],[f16257]) ).

cnf(s1371,plain,
    ( ~ spl0_7
    | spl0_82
    | ~ spl0_263 ),
    inference(sat_conversion,[],[f16259]) ).

cnf(s1410,plain,
    ( spl0_14
    | ~ spl0_78
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f16380]) ).

cnf(s1506,plain,
    ( ~ spl0_136
    | ~ spl0_448 ),
    inference(sat_conversion,[],[f17614]) ).

cnf(s2194,plain,
    ( ~ spl0_266
    | spl0_269 ),
    inference(sat_conversion,[],[f32612]) ).

cnf(s2459,plain,
    ( spl0_83
    | ~ spl0_99
    | ~ spl0_154
    | spl0_264 ),
    inference(sat_conversion,[],[f36045]) ).

cnf(s2474,plain,
    ( ~ spl0_442
    | spl0_889 ),
    inference(sat_conversion,[],[f36072]) ).

cnf(s2508,plain,
    ( spl0_7
    | spl0_412
    | ~ spl0_499 ),
    inference(sat_conversion,[],[f36120]) ).

cnf(s2532,plain,
    ( spl0_146
    | ~ spl0_264 ),
    inference(sat_conversion,[],[f36333]) ).

cnf(s2589,plain,
    ( ~ spl0_1
    | spl0_358
    | ~ spl0_484 ),
    inference(sat_conversion,[],[f36550]) ).

cnf(s2590,plain,
    ( ~ spl0_1
    | spl0_292 ),
    inference(sat_conversion,[],[f36558]) ).

cnf(s2597,plain,
    ( ~ spl0_1
    | spl0_136 ),
    inference(sat_conversion,[],[f36590]) ).

cnf(s2637,plain,
    ( ~ spl0_1
    | spl0_59
    | ~ spl0_584 ),
    inference(sat_conversion,[],[f36734]) ).

cnf(s2658,plain,
    ( ~ spl0_269
    | spl0_357
    | spl0_358
    | spl0_359 ),
    inference(sat_conversion,[],[f36793]) ).

cnf(s2742,plain,
    ( spl0_14
    | ~ spl0_264
    | ~ spl0_889 ),
    inference(sat_conversion,[],[f36980]) ).

cnf(s2816,plain,
    ( spl0_5
    | spl0_7
    | ~ spl0_360
    | ~ spl0_498 ),
    inference(sat_conversion,[],[f37103]) ).

cnf(s2818,plain,
    ( ~ spl0_139
    | spl0_584 ),
    inference(sat_conversion,[],[f37104]) ).

cnf(s2823,plain,
    ( ~ spl0_20
    | ~ spl0_412
    | spl0_448 ),
    inference(sat_conversion,[],[f37106]) ).

cnf(s2844,plain,
    ( ~ spl0_79
    | spl0_263
    | spl0_442 ),
    inference(sat_conversion,[],[f37218]) ).

cnf(s2855,plain,
    ( ~ spl0_146
    | spl0_263
    | spl0_264 ),
    inference(sat_conversion,[],[f37456]) ).

cnf(s2937,plain,
    ( ~ spl0_359
    | spl0_499
    | spl0_500 ),
    inference(sat_conversion,[],[f37727]) ).

cnf(s2959,plain,
    ( ~ spl0_99
    | spl0_360
    | spl0_361
    | ~ spl0_500 ),
    inference(sat_conversion,[],[f37999]) ).

cnf(s2964,plain,
    spl0_269,
    inference(rat,[],[s2194,s389]) ).

cnf(s3035,plain,
    ( spl0_78
    | spl0_38
    | spl0_7
    | spl0_5
    | ~ spl0_99 ),
    inference(rat,[],[s2937,s2508,s2959,s2823,s2816,s1506,s1045,s675,s907,s906,s541,s124,s680,s14,s1370,s18,s772,s549,s141,s769,s709]) ).

cnf(s3036,plain,
    ( ~ spl0_78
    | spl0_14
    | ~ spl0_99 ),
    inference(rat,[],[s2459,s2532,s892,s818,s677,s1208,s688,s1410]) ).

cnf(s3037,plain,
    ( spl0_78
    | spl0_7
    | spl0_5
    | ~ spl0_99 ),
    inference(rat,[],[s421,s772,s124,s2658,s684,s1041,s3035,s680,s2964]) ).

cnf(s3038,plain,
    ( ~ spl0_78
    | ~ spl0_99 ),
    inference(rat,[],[s796,s1208,s3036,s688]) ).

cnf(s3039,plain,
    ( ~ spl0_7
    | spl0_78 ),
    inference(rat,[],[s2474,s2742,s2844,s2855,s124,s1371,s544,s1216,s769,s540,s676,s709,s820,s1059,s1040,s1041,s787,s788]) ).

cnf(s3040,plain,
    ~ spl0_99,
    inference(rat,[],[s2823,s793,s1506,s1037,s675,s684,s812,s813,s3037,s14,s3039,s3038]) ).

cnf(s3041,plain,
    spl0_1,
    inference(rat,[],[s140,s3040]) ).

cnf(s3042,plain,
    ~ spl0_584,
    inference(rat,[],[s2637,s88,s3041]) ).

cnf(s3043,plain,
    spl0_136,
    inference(rat,[],[s2597,s3041]) ).

cnf(s3044,plain,
    spl0_292,
    inference(rat,[],[s2590,s3041]) ).

cnf(s3049,plain,
    ~ spl0_139,
    inference(rat,[],[s2818,s3042]) ).

cnf(s3050,plain,
    ~ spl0_448,
    inference(rat,[],[s1506,s3043]) ).

cnf(s3051,plain,
    spl0_146,
    inference(rat,[],[s822,s3043]) ).

cnf(s3055,plain,
    spl0_79,
    inference(rat,[],[s672,s3044]) ).

cnf(s3060,plain,
    ~ spl0_391,
    inference(rat,[],[s714,s3050]) ).

cnf(s3068,plain,
    spl0_359,
    inference(rat,[],[s691,s3051]) ).

cnf(s3075,plain,
    ~ spl0_5,
    inference(rat,[],[s871,s3049,s3051]) ).

cnf(s3099,plain,
    ~ spl0_358,
    inference(rat,[],[s677,s3060]) ).

cnf(s3108,plain,
    ~ spl0_38,
    inference(rat,[],[s1041,s3068]) ).

cnf(s3128,plain,
    spl0_24,
    inference(rat,[],[s18,s3075]) ).

cnf(s3190,plain,
    ~ spl0_484,
    inference(rat,[],[s2589,s3041,s3099]) ).

cnf(s3253,plain,
    ~ spl0_361,
    inference(rat,[],[s1370,s3108,s3128]) ).

cnf(s3288,plain,
    $false,
    inference(rat,[],[s907,s3055,s3253,s3190]) ).

fof(f38001,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3288]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO070-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n019.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 06:51:04 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  Running first-order model finding
% 0.12/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.59/1.73  % (2751476)Will run a generic schedule for satisfiability detection.
% 7.59/1.73  % (2751485)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=713293983:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.59/1.73  % (2751482)% WARNING: option uhcvi not known.
% 7.59/1.73  % (2751481)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1291903347_2999 on theBenchmark for (2999ds/0Mi)
% 7.59/1.73  % (2751482)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2599316498:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.59/1.73  % (2751483)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3742375163:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.59/1.73  % (2751484)dis+10_1_sil=32000:sp=arity:random_seed=1055118967:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.59/1.73  % (2751487)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2671553661:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.59/1.73  % (2751486)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4145497399:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.59/1.73  % Detected minimum model sizes of [3]
% 7.59/1.73  % Detected maximum model sizes of [max]
% 7.59/1.73  % TRYING [3]
% 7.59/1.73  % (2751485)Instruction limit reached! 
% 7.59/1.73  % (2751485)------------------------------
% 7.59/1.73  % (2751485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.59/1.73  % (2751485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.73  % (2751485)CaDiCaL version: 2.1.3
% 7.59/1.73  % (2751485)Termination reason: Instruction limit
% 7.59/1.73  % (2751485)Termination phase: Saturation
% 7.59/1.73  % (2751485)Time elapsed: 0.032 s
% 7.59/1.73  % (2751485)Peak memory usage: 12 MB
% 7.59/1.73  % (2751485)Instructions burned: 116 (million)
% 7.59/1.73  % (2751495)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1075106579:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.59/1.73  % Detected minimum model sizes of [3]
% 7.59/1.73  % Detected maximum model sizes of [max]
% 7.59/1.73  % TRYING [3]
% 7.59/1.73  % (2751484)Instruction limit reached! 
% 7.59/1.73  % (2751484)------------------------------
% 7.59/1.73  % (2751484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.59/1.73  % (2751484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.73  % (2751484)CaDiCaL version: 2.1.3
% 7.59/1.73  % (2751484)Termination reason: Instruction limit
% 7.59/1.73  % (2751484)Termination phase: Saturation
% 7.59/1.73  % (2751484)Time elapsed: 0.059 s
% 7.59/1.73  % (2751484)Peak memory usage: 12 MB
% 7.59/1.73  % (2751484)Instructions burned: 103 (million)
% 7.59/1.73  % (2751497)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3856694919:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.59/1.73  % (2751486)Instruction limit reached! 
% 7.59/1.73  % (2751486)------------------------------
% 7.59/1.73  % (2751486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.59/1.73  % (2751486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.73  % (2751486)CaDiCaL version: 2.1.3
% 7.59/1.73  % (2751486)Termination reason: Instruction limit
% 7.59/1.73  % (2751486)Termination phase: Saturation
% 7.59/1.73  % (2751486)Time elapsed: 0.079 s
% 7.59/1.73  % (2751486)Peak memory usage: 12 MB
% 7.59/1.73  % (2751486)Instructions burned: 132 (million)
% 7.59/1.73  % TRYING [4]
% 7.59/1.73  % TRYING [4]
% 7.59/1.73  % (2751487)Instruction limit reached! 
% 7.59/1.73  % (2751487)------------------------------
% 7.59/1.73  % (2751487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.59/1.73  % (2751487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/1.73  % (2751487)CaDiCaL version: 2.1.3
% 7.59/1.73  % (2751487)Termination reason: Instruction limit
% 7.59/1.73  % (2751487)Termination phase: Saturation
% 7.59/1.73  % (2751487)Time elapsed: 0.091 s
% 7.59/1.73  % (2751487)Peak memory usage: 13 MB
% 7.59/1.73  % (2751487)Instructions burned: 160 (million)
% 7.59/1.73  % (2751499)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1562667218:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.59/1.73  % (2751500)ott-21_1_sil=16000:fs=off:random_seed=3002510493:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.59/1.73  % (2751497)Instruction limit reached! 
% 7.59/1.73  % (2751497)------------------------------
% 24.62/3.92  % (2751497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/3.92  % (2751497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/3.92  % (2751497)CaDiCaL version: 2.1.3
% 24.62/3.92  % (2751497)Termination reason: Instruction limit
% 24.62/3.92  % (2751497)Termination phase: Saturation
% 24.62/3.92  % (2751497)Time elapsed: 0.078 s
% 24.62/3.92  % (2751497)Peak memory usage: 12 MB
% 24.62/3.92  % (2751497)Instructions burned: 131 (million)
% 24.62/3.92  % (2751495)Instruction limit reached! 
% 24.62/3.92  % (2751495)------------------------------
% 24.62/3.92  % (2751495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/3.92  % (2751495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/3.92  % (2751495)CaDiCaL version: 2.1.3
% 24.62/3.92  % (2751495)Termination reason: Instruction limit
% 24.62/3.92  % (2751495)Termination phase: Finite model building constraint generation
% 24.62/3.92  % (2751495)Time elapsed: 0.128 s
% 24.62/3.92  % (2751495)Peak memory usage: 28 MB
% 24.62/3.92  % (2751495)Instructions burned: 715 (million)
% 24.62/3.92  % (2751504)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2351042154:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 24.62/3.92  % (2751503)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2132361426:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 24.62/3.92  % Detected minimum model sizes of [3]
% 24.62/3.92  % Detected maximum model sizes of [max]
% 24.62/3.92  % TRYING [3]
% 24.62/3.92  % (2751500)Instruction limit reached! 
% 24.62/3.92  % (2751500)------------------------------
% 24.62/3.92  % (2751500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/3.92  % (2751500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/3.92  % (2751500)CaDiCaL version: 2.1.3
% 24.62/3.92  % (2751500)Termination reason: Instruction limit
% 24.62/3.92  % (2751500)Termination phase: Saturation
% 24.62/3.92  % (2751500)Time elapsed: 0.097 s
% 24.62/3.92  % (2751500)Peak memory usage: 12 MB
% 24.62/3.92  % (2751500)Instructions burned: 181 (million)
% 24.62/3.92  % (2751507)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2623037620:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 24.62/3.92  % TRYING [4]
% 24.62/3.92  % (2751504)Instruction limit reached! 
% 24.62/3.93  % (2751504)------------------------------
% 24.62/3.93  % (2751504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/3.93  % (2751504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/3.93  % (2751504)CaDiCaL version: 2.1.3
% 24.62/3.93  % (2751504)Termination reason: Instruction limit
% 24.62/3.93  % (2751504)Termination phase: Finite model building constraint generation
% 24.62/3.93  % (2751504)Time elapsed: 0.167 s
% 24.62/3.93  % (2751504)Peak memory usage: 39 MB
% 24.62/3.93  % (2751504)Instructions burned: 868 (million)
% 24.62/3.93  % (2751509)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2526029400:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 24.62/3.93  % (2751503)Instruction limit reached! 
% 24.62/3.93  % (2751503)------------------------------
% 24.62/3.93  % (2751503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/3.93  % (2751503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/3.93  % (2751503)CaDiCaL version: 2.1.3
% 24.62/3.93  % (2751503)Termination reason: Instruction limit
% 24.62/3.93  % (2751503)Termination phase: Saturation
% 24.62/3.93  % (2751503)Time elapsed: 0.282 s
% 24.62/3.93  % (2751503)Peak memory usage: 14 MB
% 24.62/3.93  % (2751503)Instructions burned: 478 (million)
% 24.62/3.93  % (2751511)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2929454664:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 24.62/3.93  % (2751499)Instruction limit reached! 
% 24.62/3.93  % (2751499)------------------------------
% 24.62/3.93  % (2751499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.62/3.93  % (2751499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.62/3.93  % (2751499)CaDiCaL version: 2.1.3
% 24.62/3.93  % (2751499)Termination reason: Instruction limit
% 24.62/3.93  % (2751499)Termination phase: Saturation
% 24.62/3.93  % (2751499)Time elapsed: 0.399 s
% 24.62/3.93  % (2751499)Peak memory usage: 17 MB
% 24.62/3.93  % (2751499)Instructions burned: 685 (million)
% 24.62/3.93  % (2751513)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=695274302:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 21.60/6.95  % TRYING [5]
% 21.60/6.95  % (2751509)Instruction limit reached! 
% 21.60/6.95  % (2751509)------------------------------
% 21.60/6.95  % (2751509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751509)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751509)Termination reason: Instruction limit
% 21.60/6.95  % (2751509)Termination phase: Finite model building constraint generation
% 21.60/6.95  % (2751509)Time elapsed: 0.231 s
% 21.60/6.95  % (2751509)Peak memory usage: 107 MB
% 21.60/6.95  % (2751509)Instructions burned: 890 (million)
% 21.60/6.95  % (2751515)fmb+10_1_sil=64000:random_seed=1590018939:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 21.60/6.95  % Detected minimum model sizes of [3]
% 21.60/6.95  % Detected maximum model sizes of [max]
% 21.60/6.95  % TRYING [3]
% 21.60/6.95  % TRYING [4]
% 21.60/6.95  % (2751511)Instruction limit reached! 
% 21.60/6.95  % (2751511)------------------------------
% 21.60/6.95  % (2751511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751511)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751511)Termination reason: Instruction limit
% 21.60/6.95  % (2751511)Termination phase: Saturation
% 21.60/6.95  % (2751511)Time elapsed: 0.441 s
% 21.60/6.95  % (2751511)Peak memory usage: 16 MB
% 21.60/6.95  % (2751511)Instructions burned: 692 (million)
% 21.60/6.95  % (2751507)Instruction limit reached! 
% 21.60/6.95  % (2751507)------------------------------
% 21.60/6.95  % (2751507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751507)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751507)Termination reason: Instruction limit
% 21.60/6.95  % (2751507)Termination phase: Saturation
% 21.60/6.95  % (2751507)Time elapsed: 0.698 s
% 21.60/6.95  % (2751507)Peak memory usage: 19 MB
% 21.60/6.95  % (2751507)Instructions burned: 1180 (million)
% 21.60/6.95  % (2751517)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2643402162:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 21.60/6.95  % Detected minimum model sizes of [3]
% 21.60/6.95  % Detected maximum model sizes of [max]
% 21.60/6.95  % (2751517)Cannot represent all propositional literals internally
% 21.60/6.95  % (2751517)Refutation not found, incomplete strategy
% 21.60/6.95  % (2751517)------------------------------
% 21.60/6.95  % (2751517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751517)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751517)Termination reason: Refutation not found, incomplete strategy
% 21.60/6.95  % (2751517)Time elapsed: 0.005 s
% 21.60/6.95  % (2751517)Peak memory usage: 10 MB
% 21.60/6.95  % (2751517)Instructions burned: 9 (million)
% 21.60/6.95  % (2751518)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1005049418:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 21.60/6.95  % (2751517)------------------------------
% 21.60/6.95  % (2751517)------------------------------
% 21.60/6.95  % Detected minimum model sizes of [3]
% 21.60/6.95  % Detected maximum model sizes of [max]
% 21.60/6.95  % TRYING [8]
% 21.60/6.95  % (2751521)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1169320401:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 21.60/6.95  % (2751513)Instruction limit reached! 
% 21.60/6.95  % (2751513)------------------------------
% 21.60/6.95  % (2751513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751513)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751513)Termination reason: Instruction limit
% 21.60/6.95  % (2751513)Termination phase: Saturation
% 21.60/6.95  % (2751513)Time elapsed: 0.497 s
% 21.60/6.95  % (2751513)Peak memory usage: 18 MB
% 21.60/6.95  % (2751513)Instructions burned: 880 (million)
% 21.60/6.95  % (2751523)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3825445280:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 21.60/6.95  % (2751518)Instruction limit reached! 
% 21.60/6.95  % (2751518)------------------------------
% 21.60/6.95  % (2751518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751518)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751518)Termination reason: Instruction limit
% 21.60/6.95  % (2751518)Termination phase: Finite model building constraint generation
% 21.60/6.95  % (2751518)Time elapsed: 0.323 s
% 21.60/6.95  % (2751518)Peak memory usage: 71 MB
% 21.60/6.95  % (2751518)Instructions burned: 923 (million)
% 21.60/6.95  % (2751526)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4176872026:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 21.60/6.95  % Detected minimum model sizes of [3]
% 21.60/6.95  % Detected maximum model sizes of [max]
% 21.60/6.95  % (2751526)Cannot represent all propositional literals internally
% 21.60/6.95  % (2751526)Refutation not found, incomplete strategy
% 21.60/6.95  % (2751526)------------------------------
% 21.60/6.95  % (2751526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751526)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751526)Termination reason: Refutation not found, incomplete strategy
% 21.60/6.95  % (2751526)Time elapsed: 0.006 s
% 21.60/6.95  % (2751526)Peak memory usage: 11 MB
% 21.60/6.95  % (2751526)Instructions burned: 11 (million)
% 21.60/6.95  % (2751526)------------------------------
% 21.60/6.95  % (2751526)------------------------------
% 21.60/6.95  % (2751528)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1246337013:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 21.60/6.95  % TRYING [5]
% 21.60/6.95  % Detected minimum model sizes of [3]
% 21.60/6.95  % Detected maximum model sizes of [max]
% 21.60/6.95  % (2751528)Cannot represent all propositional literals internally
% 21.60/6.95  % (2751528)Refutation not found, incomplete strategy
% 21.60/6.95  % (2751528)------------------------------
% 21.60/6.95  % (2751528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751528)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751528)Termination reason: Refutation not found, incomplete strategy
% 21.60/6.95  % (2751528)Time elapsed: 0.049 s
% 21.60/6.95  % (2751528)Peak memory usage: 11 MB
% 21.60/6.95  % (2751528)Instructions burned: 98 (million)
% 21.60/6.95  % (2751528)------------------------------
% 21.60/6.95  % (2751528)------------------------------
% 21.60/6.95  % (2751530)ott-2_1_sil=16000:newcnf=on:random_seed=2302131100:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 21.60/6.95  % (2751530)Instruction limit reached! 
% 21.60/6.95  % (2751530)------------------------------
% 21.60/6.95  % (2751530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751530)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751530)Termination reason: Instruction limit
% 21.60/6.95  % (2751530)Termination phase: Saturation
% 21.60/6.95  % (2751530)Time elapsed: 0.448 s
% 21.60/6.95  % (2751530)Peak memory usage: 15 MB
% 21.60/6.95  % (2751530)Instructions burned: 870 (million)
% 21.60/6.95  % (2751532)ott+10_1_sil=32000:tgt=ground:random_seed=4024430587:i=5114:av=off_2981 on theBenchmark for (2981ds/5114Mi)
% 21.60/6.95  % (2751523)Instruction limit reached! 
% 21.60/6.95  % (2751523)------------------------------
% 21.60/6.95  % (2751523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751523)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751523)Termination reason: Instruction limit
% 21.60/6.95  % (2751523)Termination phase: Saturation
% 21.60/6.95  % (2751523)Time elapsed: 0.832 s
% 21.60/6.95  % (2751523)Peak memory usage: 21 MB
% 21.60/6.95  % (2751523)Instructions burned: 1472 (million)
% 21.60/6.95  % (2751534)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2904684548:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 21.60/6.95  % Detected minimum model sizes of [3]
% 21.60/6.95  % Detected maximum model sizes of [max]
% 21.60/6.95  % TRYING [3]
% 21.60/6.95  % TRYING [4]
% 21.60/6.95  % TRYING [5]
% 21.60/6.95  % TRYING [6]
% 21.60/6.95  % (2751521)Instruction limit reached! 
% 21.60/6.95  % (2751521)------------------------------
% 21.60/6.95  % (2751521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751521)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751521)Termination reason: Instruction limit
% 21.60/6.95  % (2751521)Termination phase: Saturation
% 21.60/6.95  % (2751521)Time elapsed: 2.500 s
% 21.60/6.95  % (2751521)Peak memory usage: 21 MB
% 21.60/6.95  % (2751521)Instructions burned: 5132 (million)
% 21.60/6.95  % (2751536)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2947064745:i=3512:aac=none_2964 on theBenchmark for (2964ds/3512Mi)
% 21.60/6.95  % (2751532)Instruction limit reached! 
% 21.60/6.95  % (2751532)------------------------------
% 21.60/6.95  % (2751532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751532)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751532)Termination reason: Instruction limit
% 21.60/6.95  % (2751532)Termination phase: Saturation
% 21.60/6.95  % (2751532)Time elapsed: 2.987 s
% 21.60/6.95  % (2751532)Peak memory usage: 33 MB
% 21.60/6.95  % (2751532)Instructions burned: 5116 (million)
% 21.60/6.95  % (2751538)dis+21_1_sil=32000:sas=cadical:random_seed=2620994304:i=3773:amm=off_2951 on theBenchmark for (2951ds/3773Mi)
% 21.60/6.95  % TRYING [6]
% 21.60/6.95  % (2751536)Instruction limit reached! 
% 21.60/6.95  % (2751536)------------------------------
% 21.60/6.95  % (2751536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751536)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751536)Termination reason: Instruction limit
% 21.60/6.95  % (2751536)Termination phase: Saturation
% 21.60/6.95  % (2751536)Time elapsed: 1.754 s
% 21.60/6.95  % (2751536)Peak memory usage: 19 MB
% 21.60/6.95  % (2751536)Instructions burned: 3512 (million)
% 21.60/6.95  % (2751540)ott+11_1_sil=16000:gs=on:random_seed=4192437627:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2947 on theBenchmark for (2947ds/2251Mi)
% 21.60/6.95  % (2751515)Instruction limit reached! 
% 21.60/6.95  % (2751515)------------------------------
% 21.60/6.95  % (2751515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751515)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751515)Termination reason: Instruction limit
% 21.60/6.95  % (2751515)Termination phase: Finite model building SAT solving
% 21.60/6.95  % (2751515)Time elapsed: 5.727 s
% 21.60/6.95  % (2751515)Peak memory usage: 287 MB
% 21.60/6.95  % (2751515)Instructions burned: 22061 (million)
% 21.60/6.95  % (2751542)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=958726468:fmbsr=1.6:i=67534_2936 on theBenchmark for (2936ds/67534Mi)
% 21.60/6.95  % Detected minimum model sizes of [3]
% 21.60/6.95  % Detected maximum model sizes of [max]
% 21.60/6.95  % (2751538) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2751476-2751538"...
% 21.60/6.95  % (2751538)...printing done.
% 21.60/6.95  % (2751538)Refutation found. Thanks to Tanya!
% 21.60/6.95  % SZS status Unsatisfiable for theBenchmark
% 21.60/6.95  % SZS output start Proof for theBenchmark
% See solution above
% 21.60/6.95  % (2751538)------------------------------
% 21.60/6.95  % (2751538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.60/6.95  % (2751538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.60/6.95  % (2751538)CaDiCaL version: 2.1.3
% 21.60/6.95  % (2751538)Termination reason: Refutation
% 21.60/6.95  % (2751538)Time elapsed: 1.531 s
% 21.60/6.95  % (2751538)Peak memory usage: 26 MB
% 21.60/6.95  % (2751538)Instructions burned: 2717 (million)
% 21.60/6.95  % (2751476)Success in time 6.526 s
% 21.60/6.95  % Vampire exiting
%------------------------------------------------------------------------------