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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO010-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 09:53:14 AM UTC 2026

% Result   : Unsatisfiable 0.08s 0.37s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  148 (  17 unt;  11 def)
%            Number of atoms       :  313 (  11 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  271 ( 106   ~; 154   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  12 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-5 aty)
%            Number of variables   :   85 (   0 sgn  85   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_betweeness) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',identity_for_equidistance) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,X2)
      | ~ between(X3,X2,X4)
      | between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch1) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,X2)
      | ~ between(X3,X2,X4)
      | between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',outer_pasch2) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction1) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-0.ax',segment_construction2) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ colinear(X0,X1,X2)
      | between(X0,X1,X2)
      | between(X1,X0,X2)
      | between(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-1.ax',colinearity1) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | colinear(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-1.ax',colinearity2) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | colinear(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-1.ax',colinearity3) ).

fof(f24,axiom,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X2)
      | colinear(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO001-1.ax',colinearity4) ).

fof(f25,axiom,
    colinear(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abc_colinear) ).

fof(f26,negated_conjecture,
    ( ~ colinear(a,c,b)
    | ~ colinear(b,a,c)
    | ~ colinear(b,c,a)
    | ~ colinear(c,a,b)
    | ~ colinear(c,b,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).

fof(f27,plain,
    ! [X0,X1] :
      ( between(X0,X1,X0)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X3,X2,X4)
      | between(X0,X1,X2)
      | ~ between(X0,outer_pasch(X1,X0,X3,X4,X2),X3) ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X3,X2,X4)
      | between(X0,X1,X2)
      | ~ between(X4,X1,outer_pasch(X1,X0,X3,X4,X2)) ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f36,plain,
    ! [X2,X3,X0,X1] : ~ between(X0,X1,extension(X0,X1,X2,X3)),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ colinear(X0,X1,X2)
      | ~ between(X0,X1,X2)
      | ~ between(X1,X0,X2)
      | ~ between(X0,X2,X1) ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | between(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( colinear(X1,X0,X2)
      | between(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( colinear(X0,X2,X1)
      | between(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f48,definition,
    ( spl0_1
  <=> colinear(c,b,a) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f49,plain,
    ( colinear(c,b,a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f50,plain,
    ( ~ colinear(c,b,a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f52,definition,
    ( spl0_2
  <=> colinear(c,a,b) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f53,plain,
    ( colinear(c,a,b)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f54,plain,
    ( ~ colinear(c,a,b)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f56,definition,
    ( spl0_3
  <=> colinear(b,c,a) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f58,plain,
    ( ~ colinear(b,c,a)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f60,definition,
    ( spl0_4
  <=> colinear(b,a,c) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f62,plain,
    ( ~ colinear(b,a,c)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f64,definition,
    ( spl0_5
  <=> colinear(a,c,b) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f66,plain,
    ( ~ colinear(a,c,b)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f67,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f26,f64,f60,f56,f52,f48]) ).

fof(f69,plain,
    ( between(c,b,a)
    | spl0_1 ),
    inference(resolution,[],[f44,f50]) ).

fof(f70,plain,
    ( between(c,a,b)
    | spl0_2 ),
    inference(resolution,[],[f44,f54]) ).

fof(f71,plain,
    ( between(b,c,a)
    | spl0_3 ),
    inference(resolution,[],[f44,f58]) ).

fof(f72,plain,
    ( between(b,a,c)
    | spl0_4 ),
    inference(resolution,[],[f44,f62]) ).

fof(f73,plain,
    ( between(a,c,b)
    | spl0_5 ),
    inference(resolution,[],[f44,f66]) ).

fof(f74,plain,
    ( between(b,c,a)
    | spl0_1 ),
    inference(resolution,[],[f45,f50]) ).

fof(f75,plain,
    ( between(a,c,b)
    | spl0_2 ),
    inference(resolution,[],[f45,f54]) ).

fof(f76,plain,
    ( between(c,b,a)
    | spl0_3 ),
    inference(resolution,[],[f45,f58]) ).

fof(f77,plain,
    ( between(a,b,c)
    | spl0_4 ),
    inference(resolution,[],[f45,f62]) ).

fof(f78,plain,
    ( between(c,a,b)
    | spl0_5 ),
    inference(resolution,[],[f45,f66]) ).

fof(f79,plain,
    ( between(c,a,b)
    | spl0_1 ),
    inference(resolution,[],[f46,f50]) ).

fof(f80,plain,
    ( between(c,b,a)
    | spl0_2 ),
    inference(resolution,[],[f46,f54]) ).

fof(f81,plain,
    ( between(b,a,c)
    | spl0_3 ),
    inference(resolution,[],[f46,f58]) ).

fof(f82,plain,
    ( between(b,c,a)
    | spl0_4 ),
    inference(resolution,[],[f46,f62]) ).

fof(f83,plain,
    ( between(a,b,c)
    | spl0_5 ),
    inference(resolution,[],[f46,f66]) ).

fof(f84,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f14,f5]) ).

fof(f86,plain,
    ! [X0,X1] : ~ between(X1,X0,X0),
    inference(superposition,[],[f36,f84]) ).

fof(f112,plain,
    ( ~ between(a,b,c)
    | ~ between(b,a,c)
    | ~ between(a,c,b) ),
    inference(resolution,[],[f43,f25]) ).

fof(f117,definition,
    ( spl0_6
  <=> between(a,c,b) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f119,plain,
    ( ~ between(a,c,b)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f121,definition,
    ( spl0_7
  <=> between(b,a,c) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f123,plain,
    ( ~ between(b,a,c)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f125,definition,
    ( spl0_8
  <=> between(a,b,c) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f127,plain,
    ( ~ between(a,b,c)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f128,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f112,f125,f121,f117]) ).

fof(f129,plain,
    ( $false
    | spl0_5
    | spl0_6 ),
    inference(resolution,[],[f119,f73]) ).

fof(f131,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f129]) ).

fof(f132,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f75,f52,f117]) ).

fof(f137,plain,
    ( $false
    | spl0_4
    | spl0_8 ),
    inference(resolution,[],[f127,f77]) ).

fof(f139,plain,
    ( spl0_4
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f137]) ).

fof(f140,plain,
    ( ~ between(c,a,b)
    | ~ between(a,c,b)
    | ~ between(c,b,a)
    | ~ spl0_2 ),
    inference(resolution,[],[f53,f43]) ).

fof(f143,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,outer_pasch(X1,X0,X3,X2,X2),X3)
      | between(X0,X1,X2) ),
    inference(resolution,[],[f30,f86]) ).

fof(f145,plain,
    ! [X2,X0,X1] :
      ( between(X0,X1,X2)
      | outer_pasch(X1,X0,X0,X2,X2) = X0 ),
    inference(resolution,[],[f143,f27]) ).

fof(f151,plain,
    ( a = outer_pasch(c,a,a,b,b)
    | spl0_6 ),
    inference(resolution,[],[f145,f119]) ).

fof(f164,plain,
    ! [X2,X3,X0,X1] :
      ( between(X0,X1,X2)
      | ~ between(X2,X1,outer_pasch(X1,X0,X3,X2,X2)) ),
    inference(resolution,[],[f31,f86]) ).

fof(f172,plain,
    ( ! [X0] : ~ between(b,c,outer_pasch(c,a,X0,b,b))
    | spl0_6 ),
    inference(resolution,[],[f164,f119]) ).

fof(f203,plain,
    ( ~ between(b,c,a)
    | spl0_6 ),
    inference(superposition,[],[f172,f151]) ).

fof(f212,definition,
    ( spl0_9
  <=> between(c,a,b) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f214,plain,
    ( ~ between(c,a,b)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f217,definition,
    ( spl0_10
  <=> between(c,b,a) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f219,plain,
    ( ~ between(c,b,a)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f220,plain,
    ( ~ spl0_10
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f140,f52,f212,f117,f217]) ).

fof(f221,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f81,f56,f121]) ).

fof(f241,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f78,f64,f212]) ).

fof(f242,plain,
    ( ~ between(c,b,a)
    | ~ between(b,c,a)
    | ~ between(c,a,b)
    | ~ spl0_1 ),
    inference(resolution,[],[f49,f43]) ).

fof(f257,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f80,f52,f217]) ).

fof(f259,definition,
    ( spl0_13
  <=> between(b,c,a) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f261,plain,
    ( ~ between(b,c,a)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | ~ spl0_10
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f242,f48,f217,f259,f212]) ).

fof(f267,plain,
    ( ! [X0] : ~ between(a,c,outer_pasch(c,b,X0,a,a))
    | spl0_13 ),
    inference(resolution,[],[f261,f164]) ).

fof(f269,plain,
    ( b = outer_pasch(c,b,b,a,a)
    | spl0_13 ),
    inference(resolution,[],[f261,f145]) ).

fof(f284,plain,
    ( ~ between(a,c,b)
    | spl0_13 ),
    inference(superposition,[],[f267,f269]) ).

fof(f285,plain,
    ( ~ spl0_6
    | spl0_13 ),
    inference(avatar_split_clause,[],[f284,f259,f117]) ).

fof(f294,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f70,f52,f212]) ).

fof(f308,plain,
    ( ! [X0] : ~ between(a,b,outer_pasch(b,c,X0,a,a))
    | spl0_10 ),
    inference(resolution,[],[f219,f164]) ).

fof(f310,plain,
    ( c = outer_pasch(b,c,c,a,a)
    | spl0_10 ),
    inference(resolution,[],[f219,f145]) ).

fof(f340,plain,
    ( ~ between(a,b,c)
    | spl0_10 ),
    inference(superposition,[],[f308,f310]) ).

fof(f341,plain,
    ( ~ spl0_8
    | spl0_10 ),
    inference(avatar_split_clause,[],[f340,f217,f125]) ).

fof(f350,plain,
    ( spl0_10
    | spl0_1 ),
    inference(avatar_split_clause,[],[f69,f48,f217]) ).

fof(f407,plain,
    ( b = outer_pasch(a,b,b,c,c)
    | spl0_7 ),
    inference(resolution,[],[f123,f145]) ).

fof(f408,plain,
    ( ! [X0] : ~ between(c,a,outer_pasch(a,b,X0,c,c))
    | spl0_7 ),
    inference(resolution,[],[f123,f164]) ).

fof(f423,plain,
    ( ~ between(c,a,b)
    | spl0_7 ),
    inference(superposition,[],[f408,f407]) ).

fof(f424,plain,
    ( ~ spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f423,f121,f212]) ).

fof(f429,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f72,f60,f121]) ).

fof(f430,plain,
    ( ~ spl0_13
    | spl0_6 ),
    inference(avatar_split_clause,[],[f203,f117,f259]) ).

fof(f432,plain,
    ( spl0_13
    | spl0_4 ),
    inference(avatar_split_clause,[],[f82,f60,f259]) ).

fof(f433,plain,
    ( spl0_13
    | spl0_1 ),
    inference(avatar_split_clause,[],[f74,f48,f259]) ).

fof(f434,plain,
    ( spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f79,f48,f212]) ).

fof(f435,plain,
    ( spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f71,f56,f259]) ).

fof(f436,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f76,f56,f217]) ).

fof(f470,plain,
    ( c = outer_pasch(a,c,c,b,b)
    | spl0_9 ),
    inference(resolution,[],[f214,f145]) ).

fof(f471,plain,
    ( ! [X0] : ~ between(b,a,outer_pasch(a,c,X0,b,b))
    | spl0_9 ),
    inference(resolution,[],[f214,f164]) ).

fof(f539,plain,
    ( ~ between(b,a,c)
    | spl0_9 ),
    inference(superposition,[],[f471,f470]) ).

fof(f540,plain,
    ( ~ spl0_7
    | spl0_9 ),
    inference(avatar_split_clause,[],[f539,f212,f121]) ).

fof(f562,plain,
    ( a = outer_pasch(b,a,a,c,c)
    | spl0_8 ),
    inference(resolution,[],[f127,f145]) ).

fof(f563,plain,
    ( ! [X0] : ~ between(c,b,outer_pasch(b,a,X0,c,c))
    | spl0_8 ),
    inference(resolution,[],[f127,f164]) ).

fof(f597,plain,
    ( ~ between(c,b,a)
    | spl0_8 ),
    inference(superposition,[],[f563,f562]) ).

fof(f598,plain,
    ( ~ spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f597,f125,f217]) ).

fof(f603,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f83,f64,f125]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f67]) ).

cnf(s2,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f128]) ).

cnf(s3,plain,
    ( spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f131]) ).

cnf(s4,plain,
    ( spl0_2
    | spl0_6 ),
    inference(sat_conversion,[],[f132]) ).

cnf(s6,plain,
    ( spl0_4
    | spl0_8 ),
    inference(sat_conversion,[],[f139]) ).

cnf(s9,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f220]) ).

cnf(s10,plain,
    ( spl0_3
    | spl0_7 ),
    inference(sat_conversion,[],[f221]) ).

cnf(s13,plain,
    ( spl0_5
    | spl0_9 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s15,plain,
    ( spl0_2
    | spl0_10 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s16,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s18,plain,
    ( ~ spl0_6
    | spl0_13 ),
    inference(sat_conversion,[],[f285]) ).

cnf(s20,plain,
    ( spl0_2
    | spl0_9 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s25,plain,
    ( ~ spl0_8
    | spl0_10 ),
    inference(sat_conversion,[],[f341]) ).

cnf(s27,plain,
    ( spl0_1
    | spl0_10 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s33,plain,
    ( spl0_7
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s35,plain,
    ( spl0_4
    | spl0_7 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s36,plain,
    ( spl0_6
    | ~ spl0_13 ),
    inference(sat_conversion,[],[f430]) ).

cnf(s38,plain,
    ( spl0_4
    | spl0_13 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s39,plain,
    ( spl0_1
    | spl0_13 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s40,plain,
    ( spl0_1
    | spl0_9 ),
    inference(sat_conversion,[],[f434]) ).

cnf(s43,plain,
    ( spl0_3
    | spl0_13 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s44,plain,
    ( spl0_3
    | spl0_10 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s49,plain,
    ( ~ spl0_7
    | spl0_9 ),
    inference(sat_conversion,[],[f540]) ).

cnf(s59,plain,
    ( spl0_8
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f598]) ).

cnf(s61,plain,
    ( spl0_5
    | spl0_8 ),
    inference(sat_conversion,[],[f603]) ).

cnf(s64,plain,
    spl0_1,
    inference(rat,[],[s2,s59,s36,s33,s27,s39,s40]) ).

cnf(s65,plain,
    spl0_2,
    inference(rat,[],[s18,s16,s4,s15,s20,s64]) ).

cnf(s66,plain,
    spl0_3,
    inference(rat,[],[s49,s16,s10,s43,s44,s64]) ).

cnf(s67,plain,
    spl0_4,
    inference(rat,[],[s2,s36,s6,s35,s38]) ).

cnf(s68,plain,
    ~ spl0_5,
    inference(rat,[],[s1,s66,s65,s64,s67]) ).

cnf(s69,plain,
    spl0_8,
    inference(rat,[],[s61,s68]) ).

cnf(s71,plain,
    spl0_9,
    inference(rat,[],[s13,s68]) ).

cnf(s72,plain,
    spl0_6,
    inference(rat,[],[s3,s68]) ).

cnf(s73,plain,
    spl0_10,
    inference(rat,[],[s25,s69]) ).

cnf(s77,plain,
    $false,
    inference(rat,[],[s9,s73,s65,s71,s72]) ).

fof(f604,plain,
    $false,
    inference(avatar_sat_refutation,[],[s77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : GEO010-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30  % Computer : n012.cluster.edu
% 0.04/0.30  % Model    : x86_64 x86_64
% 0.04/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30  % Memory   : 8046.5625MB
% 0.04/0.30  % OS       : Linux 6.8.0-71-generic
% 0.04/0.30  % CPULimit : 300
% 0.04/0.30  % WCLimit  : 300
% 0.04/0.30  % DateTime : Sun Sep 27 06:29:50 UTC 2026
% 0.04/0.31  % CPUTime  : 
% 0.04/0.31  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32  Running first-order model finding
% 0.04/0.32  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
% 0.08/0.37  % (2012475)Will run a generic schedule for satisfiability detection.
% 0.08/0.37  % (2012481)% WARNING: option uhcvi not known.
% 0.08/0.37  % (2012485)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1146024004:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.37  % (2012482)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2337534716:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.37  % (2012480)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2937206240_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.37  % (2012481)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3056053222:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.37  % (2012483)dis+10_1_sil=32000:sp=arity:random_seed=3246903565:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.37  % (2012484)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3940442999:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.37  % (2012486)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=270150879:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.37  % TRYING [1]
% 0.08/0.37  % TRYING [2]
% 0.08/0.37  % TRYING [3]
% 0.08/0.37  % (2012486) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2012475-2012486"...
% 0.08/0.37  % (2012486)...printing done.
% 0.08/0.37  % (2012486)Refutation found. Thanks to Tanya!
% 0.08/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.37  % (2012486)------------------------------
% 0.08/0.37  % (2012486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.37  % (2012486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.37  % (2012486)CaDiCaL version: 2.1.3
% 0.08/0.37  % (2012486)Termination reason: Refutation
% 0.08/0.37  % (2012486)Time elapsed: 0.011 s
% 0.08/0.37  % (2012486)Peak memory usage: 12 MB
% 0.08/0.37  % (2012486)Instructions burned: 27 (million)
% 0.08/0.37  % (2012475)Success in time 0.042 s
% 0.08/0.37  % Vampire exiting
%------------------------------------------------------------------------------