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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC014-1 : 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 : 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 01:04:17 PM UTC 2026

% Result   : Unsatisfiable 1.07s 0.62s
% Output   : Refutation 1.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  124 (  24 unt;  13 def)
%            Number of atoms       :  363 (  68 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  462 ( 223   ~; 226   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  14 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).

fof(f96,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | tl(cons(X0,X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != nil
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).

fof(f99,plain,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(reorient_equations,[],[f98]) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

fof(f102,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(reorient_equations,[],[f101]) ).

fof(f121,axiom,
    ! [X0,X1] :
      ( app(X0,X1) != nil
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).

fof(f122,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    inference(reorient_equations,[],[f121]) ).

fof(f144,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1
      | tl(app(X1,X0)) = app(tl(X1),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause133) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f215,negated_conjecture,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | sk2 != X0
      | ~ ssList(X1)
      | tl(sk2) != X1
      | app(sk1,X1) != X0
      | ~ neq(nil,sk2)
      | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f216,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f217,negated_conjecture,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f218,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f219,plain,
    ( sk3 = cons(sk5,nil)
    | ~ neq(sk4,nil) ),
    inference(reorient_equations,[],[f218]) ).

fof(f220,negated_conjecture,
    ( app(cons(sk5,nil),sk6) = sk4
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f221,plain,
    ( sk4 = app(cons(sk5,nil),sk6)
    | ~ neq(sk4,nil) ),
    inference(reorient_equations,[],[f220]) ).

fof(f224,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f206,f204,f204]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | sk4 != X0
      | ~ ssList(X1)
      | tl(sk4) != X1
      | app(sk3,X1) != X0
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    inference(definition_unfolding,[],[f215,f204,f204,f205,f204]) ).

fof(f258,plain,
    ! [X1] :
      ( ~ ssList(sk4)
      | ~ ssList(X1)
      | tl(sk4) != X1
      | sk4 != app(sk3,X1)
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f231]) ).

fof(f259,plain,
    ( ~ ssList(sk4)
    | ~ ssList(tl(sk4))
    | sk4 != app(sk3,tl(sk4))
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f258]) ).

fof(f334,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f224]) ).

fof(f342,definition,
    ( spl0_1
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f343,plain,
    ( neq(sk4,nil)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f346,definition,
    ( spl0_2
  <=> sk4 = app(cons(sk5,nil),sk6) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f348,plain,
    ( sk4 = app(cons(sk5,nil),sk6)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f349,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f221,f346,f342]) ).

fof(f351,definition,
    ( spl0_3
  <=> sk3 = cons(sk5,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f353,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f354,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f219,f351,f342]) ).

fof(f356,definition,
    ( spl0_4
  <=> ssList(sk6) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f358,plain,
    ( ssList(sk6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f359,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f217,f356,f342]) ).

fof(f361,definition,
    ( spl0_5
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f363,plain,
    ( ssItem(sk5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f364,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f216,f361,f342]) ).

fof(f366,definition,
    ( spl0_6
  <=> neq(nil,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f368,plain,
    ( ~ neq(nil,sk4)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f370,definition,
    ( spl0_7
  <=> sk4 = app(sk3,tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f372,plain,
    ( sk4 != app(sk3,tl(sk4))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f374,definition,
    ( spl0_8
  <=> ssList(tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f376,plain,
    ( ~ ssList(tl(sk4))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f378,definition,
    ( spl0_9
  <=> ssList(sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f379,plain,
    ( ssList(sk4)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f381,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f259,f378,f374,f370,f366,f342]) ).

fof(f387,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f334,f342]) ).

fof(f388,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f203,f378]) ).

fof(f394,definition,
    ( spl0_11
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f395,plain,
    ( ssList(nil)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f430,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f8,f394]) ).

fof(f431,plain,
    ( sk4 = app(sk3,sk6)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f348,f353]) ).

fof(f512,plain,
    ( sk6 = app(nil,sk6)
    | ~ spl0_4 ),
    inference(resolution,[],[f74,f358]) ).

fof(f626,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk4)
    | nil = sk4
    | spl0_6 ),
    inference(resolution,[],[f102,f368]) ).

fof(f629,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_6
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f626,f395]) ).

fof(f630,plain,
    ( nil = sk4
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f629,f379]) ).

fof(f661,plain,
    ( ~ neq(nil,nil)
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f368,f630]) ).

fof(f662,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f343,f630]) ).

fof(f668,plain,
    ( $false
    | ~ spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f662,f661]) ).

fof(f669,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f668]) ).

fof(f691,plain,
    ( nil != sk3
    | ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_3 ),
    inference(superposition,[],[f99,f353]) ).

fof(f692,plain,
    ( nil != sk3
    | ~ ssList(nil)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f691,f363]) ).

fof(f693,plain,
    ( nil != sk3
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f692,f395]) ).

fof(f718,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | tl(cons(sk5,X0)) = X0 )
    | ~ spl0_5 ),
    inference(resolution,[],[f96,f363]) ).

fof(f816,definition,
    ( spl0_21
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f817,plain,
    ( nil != sk4
    | spl0_21 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f875,plain,
    ( nil != sk4
    | ~ ssList(sk6)
    | ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f122,f431]) ).

fof(f879,plain,
    ( nil != sk4
    | ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f875,f358]) ).

fof(f880,plain,
    ( nil != sk4
    | nil = sk3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f879,f202]) ).

fof(f881,plain,
    ( nil != sk4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f880,f693]) ).

fof(f882,plain,
    ( ~ spl0_21
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f881,f394,f361,f356,f351,f346,f816]) ).

fof(f1306,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = sk3
      | tl(app(sk3,X0)) = app(tl(sk3),X0) ),
    inference(resolution,[],[f144,f202]) ).

fof(f1310,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | tl(app(sk3,X0)) = app(tl(sk3),X0) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f1306,f693]) ).

fof(f1865,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl0_8 ),
    inference(resolution,[],[f376,f75]) ).

fof(f1866,plain,
    ( nil = sk4
    | spl0_8
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f1865,f379]) ).

fof(f1867,plain,
    ( $false
    | spl0_8
    | ~ spl0_9
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1866,f817]) ).

fof(f1868,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1867]) ).

fof(f2668,plain,
    ( nil = tl(cons(sk5,nil))
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(resolution,[],[f718,f395]) ).

fof(f2705,plain,
    ( nil = tl(sk3)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f2668,f353]) ).

fof(f3341,definition,
    ( spl0_116
  <=> nil = tl(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f3343,plain,
    ( nil = tl(sk3)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f3341]) ).

fof(f3904,plain,
    ( spl0_116
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f2705,f394,f361,f351,f3341]) ).

fof(f6778,definition,
    ( spl0_265
  <=> sk6 = tl(sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).

fof(f6780,plain,
    ( sk6 = tl(sk4)
    | ~ spl0_265 ),
    inference(avatar_component_clause,[],[f6778]) ).

fof(f7215,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(nil,X0) = tl(app(sk3,X0)) )
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f1310,f3343]) ).

fof(f7255,plain,
    ( app(nil,sk6) = tl(app(sk3,sk6))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(resolution,[],[f7215,f358]) ).

fof(f7256,plain,
    ( tl(sk4) = app(nil,sk6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f7255,f431]) ).

fof(f7263,plain,
    ( sk6 = tl(sk4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(forward_demodulation,[],[f7256,f512]) ).

fof(f7267,plain,
    ( spl0_265
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f7263,f3341,f394,f361,f356,f351,f346,f6778]) ).

fof(f8063,plain,
    ( sk4 != app(sk3,sk6)
    | spl0_7
    | ~ spl0_265 ),
    inference(superposition,[],[f372,f6780]) ).

fof(f8090,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | spl0_7
    | ~ spl0_265 ),
    inference(forward_subsumption_resolution,[],[f8063,f431]) ).

fof(f8091,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_7
    | ~ spl0_265 ),
    inference(avatar_contradiction_clause,[],[f8090]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f349]) ).

cnf(s2,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(sat_conversion,[],[f354]) ).

cnf(s3,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s4,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(sat_conversion,[],[f364]) ).

cnf(s5,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f381]) ).

cnf(s11,plain,
    spl0_1,
    inference(sat_conversion,[],[f387]) ).

cnf(s12,plain,
    spl0_9,
    inference(sat_conversion,[],[f388]) ).

cnf(s23,plain,
    spl0_11,
    inference(sat_conversion,[],[f430]) ).

cnf(s25,plain,
    ( ~ spl0_1
    | spl0_6
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f669]) ).

cnf(s30,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f882]) ).

cnf(s46,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_21 ),
    inference(sat_conversion,[],[f1868]) ).

cnf(s184,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_11
    | spl0_116 ),
    inference(sat_conversion,[],[f3904]) ).

cnf(s410,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_116
    | spl0_265 ),
    inference(sat_conversion,[],[f7267]) ).

cnf(s461,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_7
    | ~ spl0_265 ),
    inference(sat_conversion,[],[f8091]) ).

cnf(s466,plain,
    spl0_6,
    inference(rat,[],[s25,s23,s12,s11]) ).

cnf(s467,plain,
    ( ~ spl0_7
    | ~ spl0_8 ),
    inference(rat,[],[s5,s12,s466,s11]) ).

cnf(s468,plain,
    spl0_5,
    inference(rat,[],[s4,s11]) ).

cnf(s481,plain,
    spl0_4,
    inference(rat,[],[s3,s11]) ).

cnf(s488,plain,
    spl0_3,
    inference(rat,[],[s2,s11]) ).

cnf(s489,plain,
    spl0_116,
    inference(rat,[],[s184,s468,s23,s488]) ).

cnf(s511,plain,
    spl0_2,
    inference(rat,[],[s1,s11]) ).

cnf(s513,plain,
    spl0_265,
    inference(rat,[],[s410,s489,s488,s23,s468,s481,s511]) ).

cnf(s516,plain,
    ~ spl0_21,
    inference(rat,[],[s30,s488,s23,s468,s481,s511]) ).

cnf(s517,plain,
    spl0_7,
    inference(rat,[],[s461,s511,s488,s513]) ).

cnf(s523,plain,
    spl0_8,
    inference(rat,[],[s46,s12,s516]) ).

cnf(s524,plain,
    $false,
    inference(rat,[],[s467,s523,s517]) ).

fof(f8092,plain,
    $false,
    inference(avatar_sat_refutation,[],[s524]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC014-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36  % Computer : n019.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 28 07:26:04 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40  Running first-order model finding
% 0.15/0.40  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
% 1.07/0.62  % (3827471)Will run a generic schedule for satisfiability detection.
% 1.07/0.62  % (3827480)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3636485371:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.07/0.62  % (3827477)% WARNING: option uhcvi not known.
% 1.07/0.62  % (3827476)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2756079346_2999 on theBenchmark for (2999ds/0Mi)
% 1.07/0.62  % (3827477)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2467135986:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.07/0.62  % (3827478)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2879035061:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.07/0.62  % (3827479)dis+10_1_sil=32000:sp=arity:random_seed=3574127609:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.07/0.62  % (3827481)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2394577571:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.07/0.62  % (3827482)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1855728440:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.07/0.62  % TRYING [1]
% 1.07/0.62  % TRYING [2]
% 1.07/0.62  % TRYING [3]
% 1.07/0.62  % (3827480)Instruction limit reached! 
% 1.07/0.62  % (3827480)------------------------------
% 1.07/0.62  % (3827480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.62  % (3827480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.62  % (3827480)CaDiCaL version: 2.1.3
% 1.07/0.62  % (3827480)Termination reason: Instruction limit
% 1.07/0.62  % (3827480)Termination phase: Saturation
% 1.07/0.62  % (3827480)Time elapsed: 0.034 s
% 1.07/0.62  % (3827480)Peak memory usage: 13 MB
% 1.07/0.62  % (3827480)Instructions burned: 117 (million)
% 1.07/0.62  % TRYING [4]
% 1.07/0.62  % (3827490)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2028862946:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.07/0.62  % TRYING [1]
% 1.07/0.62  % TRYING [2]
% 1.07/0.62  % TRYING [3]
% 1.07/0.62  % (3827479)Instruction limit reached! 
% 1.07/0.62  % (3827479)------------------------------
% 1.07/0.62  % (3827479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.62  % (3827479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.62  % (3827479)CaDiCaL version: 2.1.3
% 1.07/0.62  % (3827479)Termination reason: Instruction limit
% 1.07/0.62  % (3827479)Termination phase: Saturation
% 1.07/0.62  % (3827479)Time elapsed: 0.060 s
% 1.07/0.62  % (3827479)Peak memory usage: 13 MB
% 1.07/0.62  % (3827479)Instructions burned: 104 (million)
% 1.07/0.62  % TRYING [4]
% 1.07/0.62  % (3827481)Instruction limit reached! 
% 1.07/0.62  % (3827481)------------------------------
% 1.07/0.62  % (3827481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.62  % (3827481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.62  % (3827481)CaDiCaL version: 2.1.3
% 1.07/0.62  % (3827481)Termination reason: Instruction limit
% 1.07/0.62  % (3827481)Termination phase: Saturation
% 1.07/0.62  % (3827481)Time elapsed: 0.067 s
% 1.07/0.62  % (3827481)Peak memory usage: 14 MB
% 1.07/0.62  % (3827481)Instructions burned: 133 (million)
% 1.07/0.62  % (3827492)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2589279059:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.07/0.62  % (3827493)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=1325632231:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.07/0.62  % (3827482)Instruction limit reached! 
% 1.07/0.62  % (3827482)------------------------------
% 1.07/0.62  % (3827482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.62  % (3827482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.62  % (3827482)CaDiCaL version: 2.1.3
% 1.07/0.62  % (3827482)Termination reason: Instruction limit
% 1.07/0.62  % (3827482)Termination phase: Saturation
% 1.07/0.62  % (3827482)Time elapsed: 0.091 s
% 1.07/0.62  % (3827482)Peak memory usage: 14 MB
% 1.07/0.62  % (3827482)Instructions burned: 159 (million)
% 1.07/0.62  % TRYING [5]
% 1.07/0.62  % TRYING [5]
% 1.07/0.62  % (3827496)ott-21_1_sil=16000:fs=off:random_seed=1990441750:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.07/0.62  % (3827492)Instruction limit reached! 
% 1.07/0.62  % (3827492)------------------------------
% 1.07/0.62  % (3827492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.62  % (3827492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.62  % (3827492)CaDiCaL version: 2.1.3
% 1.07/0.62  % (3827492)Termination reason: Instruction limit
% 1.07/0.62  % (3827492)Termination phase: Saturation
% 1.07/0.62  % (3827492)Time elapsed: 0.068 s
% 1.07/0.62  % (3827492)Peak memory usage: 13 MB
% 1.07/0.62  % (3827492)Instructions burned: 132 (million)
% 1.07/0.62  % (3827477) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3827471-3827477"...
% 1.07/0.62  % (3827477)...printing done.
% 1.07/0.62  % (3827477)Refutation found. Thanks to Tanya!
% 1.07/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.07/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.07/0.62  % (3827477)------------------------------
% 1.07/0.62  % (3827477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.62  % (3827477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.62  % (3827477)CaDiCaL version: 2.1.3
% 1.07/0.62  % (3827477)Termination reason: Refutation
% 1.07/0.62  % (3827477)Time elapsed: 0.163 s
% 1.07/0.62  % (3827477)Peak memory usage: 16 MB
% 1.07/0.62  % (3827477)Instructions burned: 259 (million)
% 1.07/0.62  % (3827471)Success in time 0.209 s
% 1.07/0.62  % Vampire exiting
%------------------------------------------------------------------------------