↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MGT061-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.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 12:02:46 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  137 (  33 unt;   9 def)
%            Number of atoms       :  297 (  37 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  291 ( 131   ~; 151   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  10 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   60 (   0 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | smaller_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ smaller(X0,X1)
      | greater(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | smaller(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | ~ greater(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(X0,X1)
      | ~ greater(X1,X2)
      | greater(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( greater(X0,X1)
      | X0 = X1
      | smaller(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ~ organization(X0)
      | has_endowment(X0)
      | ~ has_immunity(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_39) ).

fof(f15,axiom,
    ! [X2,X0,X1] :
      ( ~ is_aligned(X0,X1)
      | ~ dissimilar(X0,X1,X2)
      | ~ is_aligned(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_42) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | ~ is_aligned(X0,X1)
      | is_aligned(X0,X2)
      | dissimilar(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_44) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( ~ organization(X0)
      | age(X0,X1) != zero
      | is_aligned(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13_47) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | age(X0,X1) != zero
      | ~ greater(age(X0,X2),sigma)
      | dissimilar(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_48) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ organization(X0)
      | age(X0,X1) != zero
      | ~ dissimilar(X0,X1,X2)
      | greater(age(X0,X2),sigma) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_49) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ~ fragile_position(X0)
      | ~ smaller_or_equal(age(X0,X1),sigma)
      | positional_advantage(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_50) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ~ fragile_position(X0)
      | ~ greater(age(X0,X1),sigma)
      | ~ positional_advantage(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_51) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ~ organization(X0)
      | has_immunity(X0,X1)
      | ~ is_aligned(X0,X1)
      | ~ positional_advantage(X0,X1)
      | hazard_of_mortality(X0,X1) = low ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_57) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( ~ organization(X0)
      | has_immunity(X0,X1)
      | is_aligned(X0,X1)
      | positional_advantage(X0,X1)
      | hazard_of_mortality(X0,X1) = high ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_60) ).

fof(f34,axiom,
    greater(high,mod1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a_61) ).

fof(f35,axiom,
    greater(mod1,low),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b_62) ).

fof(f39,negated_conjecture,
    organization(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_66) ).

fof(f40,negated_conjecture,
    fragile_position(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_67) ).

fof(f41,negated_conjecture,
    ~ has_endowment(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_68) ).

fof(f42,negated_conjecture,
    age(sk2,sk3) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_69) ).

fof(f43,plain,
    zero = age(sk2,sk3),
    inference(reorient_equations,[],[f42]) ).

fof(f44,negated_conjecture,
    greater(sigma,zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_70) ).

fof(f45,negated_conjecture,
    smaller_or_equal(age(sk2,sk4),sigma),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_71) ).

fof(f46,negated_conjecture,
    greater(age(sk2,sk5),sigma),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_72) ).

fof(f47,negated_conjecture,
    ( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
    | hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_73) ).

fof(f49,definition,
    ( spl0_1
  <=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f51,plain,
    ( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f53,definition,
    ( spl0_2
  <=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f55,plain,
    ( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f56,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f47,f53,f49]) ).

fof(f67,plain,
    smaller(zero,sigma),
    inference(resolution,[],[f8,f44]) ).

fof(f69,plain,
    smaller(low,mod1),
    inference(resolution,[],[f8,f35]) ).

fof(f74,plain,
    smaller_or_equal(zero,sigma),
    inference(resolution,[],[f67,f2]) ).

fof(f80,plain,
    ~ greater(mod1,high),
    inference(resolution,[],[f9,f34]) ).

fof(f82,plain,
    ! [X0] :
      ( has_endowment(sk2)
      | ~ has_immunity(sk2,X0) ),
    inference(resolution,[],[f12,f39]) ).

fof(f83,plain,
    ! [X0] : ~ has_immunity(sk2,X0),
    inference(forward_subsumption_resolution,[],[f82,f41]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ greater(low,X0)
      | greater(mod1,X0) ),
    inference(resolution,[],[f10,f35]) ).

fof(f119,plain,
    ! [X0] :
      ( zero != age(sk2,X0)
      | is_aligned(sk2,X0) ),
    inference(resolution,[],[f20,f39]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ smaller_or_equal(age(sk2,X0),sigma)
      | positional_advantage(sk2,X0) ),
    inference(resolution,[],[f23,f40]) ).

fof(f126,plain,
    ! [X0] :
      ( ~ positional_advantage(sk2,X0)
      | ~ greater(age(sk2,X0),sigma) ),
    inference(resolution,[],[f24,f40]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ is_aligned(sk2,X0)
      | is_aligned(sk2,X1)
      | dissimilar(sk2,X0,X1) ),
    inference(resolution,[],[f17,f39]) ).

fof(f134,plain,
    ( zero != zero
    | is_aligned(sk2,sk3) ),
    inference(superposition,[],[f119,f43]) ).

fof(f136,plain,
    is_aligned(sk2,sk3),
    inference(trivial_inequality_removal,[],[f134]) ).

fof(f138,definition,
    ( spl0_5
  <=> is_aligned(sk2,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f139,plain,
    ( ~ is_aligned(sk2,sk4)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f140,plain,
    ( is_aligned(sk2,sk4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ is_aligned(sk2,X0)
      | ~ dissimilar(sk2,sk3,X0) ),
    inference(resolution,[],[f136,f15]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ~ greater(age(sk2,X1),sigma)
      | zero != age(sk2,X0)
      | dissimilar(sk2,X0,X1) ),
    inference(resolution,[],[f21,f39]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ dissimilar(sk2,X0,X1)
      | zero != age(sk2,X0)
      | greater(age(sk2,X1),sigma) ),
    inference(resolution,[],[f22,f39]) ).

fof(f154,plain,
    positional_advantage(sk2,sk4),
    inference(resolution,[],[f124,f45]) ).

fof(f155,plain,
    ( ~ smaller_or_equal(zero,sigma)
    | positional_advantage(sk2,sk3) ),
    inference(superposition,[],[f124,f43]) ).

fof(f158,plain,
    positional_advantage(sk2,sk3),
    inference(forward_subsumption_resolution,[],[f155,f74]) ).

fof(f159,plain,
    ! [X0] :
      ( has_immunity(sk2,X0)
      | ~ is_aligned(sk2,X0)
      | ~ positional_advantage(sk2,X0)
      | low = hazard_of_mortality(sk2,X0) ),
    inference(resolution,[],[f30,f39]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ positional_advantage(sk2,X0)
      | ~ is_aligned(sk2,X0)
      | low = hazard_of_mortality(sk2,X0) ),
    inference(forward_subsumption_resolution,[],[f159,f83]) ).

fof(f165,plain,
    ~ greater(age(sk2,sk4),sigma),
    inference(resolution,[],[f126,f154]) ).

fof(f169,plain,
    ! [X0] :
      ( has_immunity(sk2,X0)
      | is_aligned(sk2,X0)
      | positional_advantage(sk2,X0)
      | high = hazard_of_mortality(sk2,X0) ),
    inference(resolution,[],[f33,f39]) ).

fof(f170,plain,
    ! [X0] :
      ( positional_advantage(sk2,X0)
      | is_aligned(sk2,X0)
      | high = hazard_of_mortality(sk2,X0) ),
    inference(forward_subsumption_resolution,[],[f169,f83]) ).

fof(f172,plain,
    ! [X0] :
      ( is_aligned(sk2,X0)
      | dissimilar(sk2,sk3,X0) ),
    inference(resolution,[],[f131,f136]) ).

fof(f182,plain,
    ( ~ is_aligned(sk2,sk4)
    | low = hazard_of_mortality(sk2,sk4) ),
    inference(resolution,[],[f160,f154]) ).

fof(f183,plain,
    ( ~ is_aligned(sk2,sk3)
    | low = hazard_of_mortality(sk2,sk3) ),
    inference(resolution,[],[f160,f158]) ).

fof(f184,plain,
    low = hazard_of_mortality(sk2,sk3),
    inference(forward_subsumption_resolution,[],[f183,f136]) ).

fof(f186,definition,
    ( spl0_7
  <=> low = hazard_of_mortality(sk2,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f188,plain,
    ( low = hazard_of_mortality(sk2,sk4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f189,plain,
    ( spl0_7
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f182,f138,f186]) ).

fof(f204,plain,
    ! [X0] :
      ( ~ greater(age(sk2,X0),sigma)
      | high = hazard_of_mortality(sk2,X0)
      | is_aligned(sk2,X0) ),
    inference(resolution,[],[f170,f126]) ).

fof(f207,plain,
    ! [X0] :
      ( zero != age(sk2,X0)
      | dissimilar(sk2,X0,sk5) ),
    inference(resolution,[],[f152,f46]) ).

fof(f227,plain,
    ( low != hazard_of_mortality(sk2,sk3)
    | spl0_1
    | ~ spl0_7 ),
    inference(superposition,[],[f51,f188]) ).

fof(f228,plain,
    ( $false
    | spl0_1
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f227,f184]) ).

fof(f229,plain,
    ( spl0_1
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f228]) ).

fof(f231,plain,
    ( ~ greater(hazard_of_mortality(sk2,sk5),low)
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f55,f188]) ).

fof(f232,plain,
    ( low = hazard_of_mortality(sk2,sk5)
    | smaller(hazard_of_mortality(sk2,sk5),low)
    | spl0_2
    | ~ spl0_7 ),
    inference(resolution,[],[f231,f11]) ).

fof(f234,definition,
    ( spl0_8
  <=> smaller(hazard_of_mortality(sk2,sk5),low) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f236,plain,
    ( smaller(hazard_of_mortality(sk2,sk5),low)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f238,definition,
    ( spl0_9
  <=> low = hazard_of_mortality(sk2,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f240,plain,
    ( low = hazard_of_mortality(sk2,sk5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f241,plain,
    ( spl0_8
    | spl0_9
    | spl0_2
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f232,f186,f53,f238,f234]) ).

fof(f261,definition,
    ( spl0_11
  <=> smaller(hazard_of_mortality(sk2,sk5),mod1) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f262,plain,
    ( ~ smaller(hazard_of_mortality(sk2,sk5),mod1)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f263,plain,
    ( smaller(hazard_of_mortality(sk2,sk5),mod1)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f269,plain,
    ( ! [X0] :
        ( is_aligned(sk2,X0)
        | dissimilar(sk2,sk4,X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f140,f131]) ).

fof(f271,plain,
    ( ! [X0] :
        ( ~ is_aligned(sk2,X0)
        | ~ dissimilar(sk2,sk4,X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f140,f15]) ).

fof(f274,plain,
    ( greater(low,hazard_of_mortality(sk2,sk5))
    | ~ spl0_8 ),
    inference(resolution,[],[f236,f7]) ).

fof(f312,plain,
    ( ! [X0] :
        ( ~ dissimilar(sk2,sk3,X0)
        | dissimilar(sk2,sk4,X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f269,f148]) ).

fof(f334,plain,
    ( greater(mod1,hazard_of_mortality(sk2,sk5))
    | ~ spl0_8 ),
    inference(resolution,[],[f103,f274]) ).

fof(f338,plain,
    ( smaller(hazard_of_mortality(sk2,sk5),mod1)
    | ~ spl0_8 ),
    inference(resolution,[],[f334,f8]) ).

fof(f340,plain,
    ( spl0_11
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f338,f234,f261]) ).

fof(f397,plain,
    ( zero != zero
    | dissimilar(sk2,sk3,sk5) ),
    inference(superposition,[],[f207,f43]) ).

fof(f398,plain,
    dissimilar(sk2,sk3,sk5),
    inference(trivial_inequality_removal,[],[f397]) ).

fof(f399,plain,
    ( dissimilar(sk2,sk4,sk5)
    | ~ spl0_5 ),
    inference(resolution,[],[f398,f312]) ).

fof(f485,plain,
    ( high = hazard_of_mortality(sk2,sk5)
    | is_aligned(sk2,sk5) ),
    inference(resolution,[],[f204,f46]) ).

fof(f489,plain,
    ( low = high
    | is_aligned(sk2,sk5)
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f485,f240]) ).

fof(f491,definition,
    ( spl0_24
  <=> is_aligned(sk2,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f492,plain,
    ( ~ is_aligned(sk2,sk5)
    | spl0_24 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f493,plain,
    ( is_aligned(sk2,sk5)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f495,definition,
    ( spl0_25
  <=> low = high ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f497,plain,
    ( low = high
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f498,plain,
    ( spl0_24
    | spl0_25
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f489,f238,f495,f491]) ).

fof(f600,plain,
    ( ~ dissimilar(sk2,sk4,sk5)
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(resolution,[],[f493,f271]) ).

fof(f609,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f600,f399]) ).

fof(f610,plain,
    ( ~ spl0_5
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f609]) ).

fof(f620,plain,
    ( high = hazard_of_mortality(sk2,sk5)
    | spl0_24 ),
    inference(forward_subsumption_resolution,[],[f485,f492]) ).

fof(f633,plain,
    ( greater(mod1,hazard_of_mortality(sk2,sk5))
    | ~ spl0_11 ),
    inference(resolution,[],[f263,f7]) ).

fof(f648,plain,
    ( ~ smaller(high,mod1)
    | spl0_11
    | spl0_24 ),
    inference(forward_demodulation,[],[f262,f620]) ).

fof(f650,plain,
    ( ~ smaller(low,mod1)
    | spl0_11
    | spl0_24
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f648,f497]) ).

fof(f651,plain,
    ( $false
    | spl0_11
    | spl0_24
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f650,f69]) ).

fof(f652,plain,
    ( spl0_11
    | spl0_24
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f651]) ).

fof(f663,plain,
    ( greater(mod1,high)
    | ~ spl0_11
    | spl0_24 ),
    inference(forward_demodulation,[],[f633,f620]) ).

fof(f665,plain,
    ( $false
    | ~ spl0_11
    | spl0_24 ),
    inference(forward_subsumption_resolution,[],[f663,f80]) ).

fof(f666,plain,
    ( ~ spl0_11
    | spl0_24 ),
    inference(avatar_contradiction_clause,[],[f665]) ).

fof(f678,plain,
    ( dissimilar(sk2,sk3,sk4)
    | spl0_5 ),
    inference(resolution,[],[f139,f172]) ).

fof(f1534,plain,
    ( zero != age(sk2,sk3)
    | greater(age(sk2,sk4),sigma)
    | spl0_5 ),
    inference(resolution,[],[f678,f153]) ).

fof(f1537,plain,
    ( greater(age(sk2,sk4),sigma)
    | spl0_5 ),
    inference(forward_subsumption_resolution,[],[f1534,f43]) ).

fof(f1538,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[],[f1537,f165]) ).

fof(f1539,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f1538]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f56]) ).

cnf(s4,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(sat_conversion,[],[f189]) ).

cnf(s6,plain,
    ( spl0_1
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f229]) ).

cnf(s7,plain,
    ( spl0_2
    | ~ spl0_7
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f241]) ).

cnf(s10,plain,
    ( ~ spl0_8
    | spl0_11 ),
    inference(sat_conversion,[],[f340]) ).

cnf(s16,plain,
    ( ~ spl0_9
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f498]) ).

cnf(s25,plain,
    ( ~ spl0_5
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s29,plain,
    ( spl0_11
    | spl0_24
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f652]) ).

cnf(s32,plain,
    ( ~ spl0_11
    | spl0_24 ),
    inference(sat_conversion,[],[f666]) ).

cnf(s76,plain,
    spl0_5,
    inference(sat_conversion,[],[f1539]) ).

cnf(s77,plain,
    ~ spl0_24,
    inference(rat,[],[s25,s76]) ).

cnf(s78,plain,
    ~ spl0_11,
    inference(rat,[],[s32,s77]) ).

cnf(s80,plain,
    ~ spl0_25,
    inference(rat,[],[s29,s77,s78]) ).

cnf(s83,plain,
    ~ spl0_9,
    inference(rat,[],[s16,s80,s77]) ).

cnf(s84,plain,
    ~ spl0_8,
    inference(rat,[],[s10,s78]) ).

cnf(s85,plain,
    ( spl0_2
    | ~ spl0_7 ),
    inference(rat,[],[s7,s83,s84]) ).

cnf(s86,plain,
    spl0_7,
    inference(rat,[],[s4,s76]) ).

cnf(s87,plain,
    spl0_2,
    inference(rat,[],[s85,s86]) ).

cnf(s88,plain,
    spl0_1,
    inference(rat,[],[s6,s86]) ).

cnf(s89,plain,
    $false,
    inference(rat,[],[s1,s87,s88]) ).

fof(f1540,plain,
    $false,
    inference(avatar_sat_refutation,[],[s89]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT061-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n018.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 17:33:38 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
% 0.19/0.47  % (2621981)Will run a generic schedule for satisfiability detection.
% 0.19/0.47  % (2621991)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=850376771:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.47  % (2621987)% WARNING: option uhcvi not known.
% 0.19/0.47  % (2621987)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1215091418:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.47  % (2621986)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3072053772_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.47  % (2621988)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3389947438:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.47  % (2621989)dis+10_1_sil=32000:sp=arity:random_seed=196934480:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.47  % (2621990)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=274002813:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.47  % (2621992)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4022319192:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.47  % TRYING [1]
% 0.19/0.47  % TRYING [2]
% 0.19/0.47  % TRYING [3]
% 0.19/0.47  % TRYING [4]
% 0.19/0.47  % TRYING [5]
% 0.19/0.47  % (2621991) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2621981-2621991"...
% 0.19/0.47  % (2621991)...printing done.
% 0.19/0.47  % (2621989) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2621981-2621989"...
% 0.19/0.47  % (2621991)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (2621991)------------------------------
% 0.19/0.47  % (2621991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.47  % (2621991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.47  % (2621991)CaDiCaL version: 2.1.3
% 0.19/0.47  % (2621991)Termination reason: Refutation
% 0.19/0.47  % (2621991)Time elapsed: 0.019 s
% 0.19/0.47  % (2621991)Peak memory usage: 12 MB
% 0.19/0.47  % (2621991)Instructions burned: 49 (million)
% 0.19/0.47  % (2621981)Success in time 0.046 s
% 0.19/0.47  % Vampire exiting
%------------------------------------------------------------------------------