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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC410-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 01:05:56 PM UTC 2026

% Result   : Unsatisfiable 9.65s 1.86s
% Output   : Refutation 9.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  154 (  14 unt;  11 def)
%            Number of atoms       :  563 (  61 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  772 ( 363   ~; 398   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  12 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   76 (   0 sgn  76   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox2/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(f107,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(hd(X0),tl(X0)) = X0
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    inference(reorient_equations,[],[f125]) ).

fof(f150,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X2,X0),X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause139) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).

fof(f170,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X0,X1),X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | memberP(X1,X2)
      | memberP(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause158) ).

fof(f193,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ duplicatefreeP(X4)
      | ~ ssList(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f207,negated_conjecture,
    memberP(sk2,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ~ memberP(sk1,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    ( ~ neq(sk4,nil)
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f211,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ neq(sk4,nil)
      | ~ ssList(X0)
      | sk4 = X0
      | ~ ssList(X1)
      | ~ ssList(X2)
      | tl(sk3) != X1
      | app(X1,X2) != X0
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f214,plain,
    memberP(sk4,sk5),
    inference(definition_unfolding,[],[f207,f204]) ).

fof(f215,plain,
    ~ memberP(sk3,sk5),
    inference(definition_unfolding,[],[f208,f205]) ).

fof(f222,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f233,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
    inference(equality_resolution,[],[f193]) ).

fof(f240,plain,
    ! [X2,X3,X0] :
      ( ~ neq(sk4,nil)
      | ~ ssList(X0)
      | sk4 = X0
      | ~ ssList(tl(sk3))
      | ~ ssList(X2)
      | app(tl(sk3),X2) != X0
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    inference(equality_resolution,[],[f211]) ).

fof(f241,plain,
    ! [X2,X3] :
      ( ~ neq(sk4,nil)
      | ~ ssList(app(tl(sk3),X2))
      | sk4 = app(tl(sk3),X2)
      | ~ ssList(tl(sk3))
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    inference(equality_resolution,[],[f240]) ).

fof(f242,plain,
    ! [X3] :
      ( ~ neq(sk4,nil)
      | ~ ssList(app(tl(sk3),cons(X3,nil)))
      | sk4 = app(tl(sk3),cons(X3,nil))
      | ~ ssList(tl(sk3))
      | ~ ssList(cons(X3,nil))
      | ~ ssItem(X3)
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    inference(equality_resolution,[],[f241]) ).

fof(f243,plain,
    ( ~ neq(sk4,nil)
    | ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(tl(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | ~ neq(nil,sk3)
    | ~ neq(nil,sk3) ),
    inference(equality_resolution,[],[f242]) ).

fof(f244,plain,
    ( ~ neq(sk4,nil)
    | ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(tl(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | ~ neq(nil,sk3) ),
    inference(duplicate_literal_removal,[],[f243]) ).

fof(f249,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f222]) ).

fof(f252,definition,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f253,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f254,plain,
    ( nil != sk4
    | spl0_1 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f256,definition,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f257,plain,
    ( nil != sk3
    | spl0_2 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f258,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f259,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f209,f256,f252]) ).

fof(f261,definition,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f263,plain,
    ( neq(sk3,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f265,definition,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f266,plain,
    ( neq(sk4,nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f267,plain,
    ( ~ neq(sk4,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f268,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f210,f265,f261]) ).

fof(f270,definition,
    ( spl0_5
  <=> ! [X1] : ssItem(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f271,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f273,definition,
    ( spl0_6
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f274,plain,
    ( ! [X0] :
        ( duplicatefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f275,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f72,f273,f270]) ).

fof(f483,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4
    | spl0_4 ),
    inference(resolution,[],[f102,f267]) ).

fof(f488,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f483,f203]) ).

fof(f489,plain,
    ( nil = sk4
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f488,f8]) ).

fof(f490,plain,
    ( $false
    | spl0_1
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f489,f254]) ).

fof(f491,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f490]) ).

fof(f492,plain,
    ( ~ neq(sk4,nil)
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(tl(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | ~ neq(nil,sk3) ),
    inference(forward_subsumption_resolution,[],[f244,f85]) ).

fof(f496,definition,
    ( spl0_7
  <=> neq(nil,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f497,plain,
    ( neq(nil,sk3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f498,plain,
    ( ~ neq(nil,sk3)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f500,definition,
    ( spl0_8
  <=> ssList(cons(hd(sk3),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f501,plain,
    ( ssList(cons(hd(sk3),nil))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f502,plain,
    ( ~ ssList(cons(hd(sk3),nil))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f504,definition,
    ( spl0_9
  <=> ssList(tl(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f505,plain,
    ( ssList(tl(sk3))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f506,plain,
    ( ~ ssList(tl(sk3))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f508,definition,
    ( spl0_10
  <=> sk4 = app(tl(sk3),cons(hd(sk3),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f510,plain,
    ( sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f512,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk3)
    | nil = sk3
    | spl0_7 ),
    inference(resolution,[],[f498,f102]) ).

fof(f513,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f512,f8]) ).

fof(f514,plain,
    ( nil = sk3
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f513,f202]) ).

fof(f515,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f514,f496,f256]) ).

fof(f516,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_9 ),
    inference(resolution,[],[f506,f75]) ).

fof(f517,plain,
    ( nil = sk3
    | spl0_9 ),
    inference(forward_subsumption_resolution,[],[f516,f202]) ).

fof(f518,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f517,f504,f256]) ).

fof(f530,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk3))
    | spl0_8 ),
    inference(resolution,[],[f86,f502]) ).

fof(f533,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f530,f8]) ).

fof(f534,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_8 ),
    inference(resolution,[],[f533,f76]) ).

fof(f535,plain,
    ( nil = sk3
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f534,f202]) ).

fof(f536,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f535,f500,f256]) ).

fof(f538,plain,
    ( ~ memberP(nil,sk5)
    | ~ spl0_2 ),
    inference(superposition,[],[f215,f258]) ).

fof(f539,plain,
    ( neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f263,f258]) ).

fof(f599,plain,
    ( ~ ssList(nil)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f539,f249]) ).

fof(f601,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f599,f8]) ).

fof(f602,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f601]) ).

fof(f605,plain,
    ( memberP(nil,sk5)
    | ~ spl0_1 ),
    inference(superposition,[],[f214,f253]) ).

fof(f608,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f605,f538]) ).

fof(f609,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f608]) ).

fof(f610,plain,
    ( ~ neq(sk4,nil)
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | ~ neq(nil,sk3)
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f492,f505]) ).

fof(f611,plain,
    ( ~ neq(sk4,nil)
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f610,f497]) ).

fof(f615,plain,
    ( sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f611,f266]) ).

fof(f616,plain,
    ( sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f615,f501]) ).

fof(f653,definition,
    ( spl0_11
  <=> ssItem(hd(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f654,plain,
    ( ssItem(hd(sk3))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f655,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f656,plain,
    ( ~ spl0_11
    | spl0_10
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f616,f504,f500,f496,f265,f508,f653]) ).

fof(f657,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_11 ),
    inference(resolution,[],[f655,f76]) ).

fof(f658,plain,
    ( nil = sk3
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f657,f202]) ).

fof(f659,plain,
    ( $false
    | spl0_2
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f658,f257]) ).

fof(f660,plain,
    ( spl0_2
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f659]) ).

fof(f825,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | nil = sk3 ),
    inference(resolution,[],[f107,f202]) ).

fof(f828,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f825,f257]) ).

fof(f924,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(hd(sk3),X0) = app(cons(hd(sk3),nil),X0) )
    | ~ spl0_11 ),
    inference(resolution,[],[f126,f654]) ).

fof(f1365,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssList(tl(sk3))
        | ~ ssItem(hd(sk3))
        | ~ ssItem(X0)
        | ~ memberP(tl(sk3),X0) )
    | spl0_2 ),
    inference(superposition,[],[f150,f828]) ).

fof(f1370,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(hd(sk3))
        | ~ ssItem(X0)
        | ~ memberP(tl(sk3),X0) )
    | spl0_2
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f1365,f505]) ).

fof(f1373,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ memberP(tl(sk3),X0) )
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f1370,f654]) ).

fof(f2242,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | ~ ssList(cons(hd(sk3),nil))
        | ~ ssList(tl(sk3))
        | ~ ssItem(X0)
        | memberP(cons(hd(sk3),nil),X0)
        | memberP(tl(sk3),X0) )
    | ~ spl0_10 ),
    inference(superposition,[],[f170,f510]) ).

fof(f2249,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | ~ ssList(tl(sk3))
        | ~ ssItem(X0)
        | memberP(cons(hd(sk3),nil),X0)
        | memberP(tl(sk3),X0) )
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f2242,f501]) ).

fof(f2250,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | ~ ssItem(X0)
        | memberP(cons(hd(sk3),nil),X0)
        | memberP(tl(sk3),X0) )
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f2249,f505]) ).

fof(f2658,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
        | ~ ssList(X2)
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(X3) )
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f233,f274]) ).

fof(f2664,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk4,cons(hd(sk3),X0)))
        | ~ ssList(nil)
        | ~ ssList(tl(sk3))
        | ~ ssItem(hd(sk3))
        | ~ ssList(X0) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f2658,f510]) ).

fof(f2672,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk4,cons(hd(sk3),X0)))
        | ~ ssList(tl(sk3))
        | ~ ssItem(hd(sk3))
        | ~ ssList(X0) )
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f2664,f8]) ).

fof(f2680,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk4,cons(hd(sk3),X0)))
        | ~ ssItem(hd(sk3))
        | ~ ssList(X0) )
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f2672,f505]) ).

fof(f2684,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk4,cons(hd(sk3),X0)))
        | ~ ssList(X0) )
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f2680,f654]) ).

fof(f2964,plain,
    ( ~ ssList(app(sk4,sk3))
    | ~ ssList(tl(sk3))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f2684,f828]) ).

fof(f2965,plain,
    ( ~ ssList(app(sk4,sk3))
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f2964,f505]) ).

fof(f2967,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk3)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(resolution,[],[f2965,f85]) ).

fof(f2968,plain,
    ( ~ ssList(sk3)
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f2967,f203]) ).

fof(f2969,plain,
    ( $false
    | spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f2968,f202]) ).

fof(f2970,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f2969]) ).

fof(f3578,plain,
    ( cons(hd(sk3),tl(sk3)) = app(cons(hd(sk3),nil),tl(sk3))
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(resolution,[],[f924,f505]) ).

fof(f3581,plain,
    ( sk3 = app(cons(hd(sk3),nil),tl(sk3))
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f3578,f828]) ).

fof(f4632,plain,
    ( ! [X0] :
        ( memberP(cons(hd(sk3),nil),X0)
        | ~ memberP(sk4,X0)
        | memberP(tl(sk3),X0) )
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f2250,f271]) ).

fof(f7912,plain,
    ( ! [X0] :
        ( ~ memberP(tl(sk3),X0)
        | memberP(sk3,X0) )
    | spl0_2
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f1373,f271]) ).

fof(f10149,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssList(tl(sk3))
        | ~ ssList(cons(hd(sk3),nil))
        | ~ ssItem(X0)
        | ~ memberP(cons(hd(sk3),nil),X0) )
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f151,f3581]) ).

fof(f10169,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssList(cons(hd(sk3),nil))
        | ~ ssItem(X0)
        | ~ memberP(cons(hd(sk3),nil),X0) )
    | spl0_2
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f10149,f505]) ).

fof(f10181,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ memberP(cons(hd(sk3),nil),X0) )
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f10169,f501]) ).

fof(f10185,plain,
    ( ! [X0] :
        ( ~ memberP(cons(hd(sk3),nil),X0)
        | memberP(sk3,X0) )
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f10181,f271]) ).

fof(f23091,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ memberP(sk4,X0)
        | memberP(tl(sk3),X0) )
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(resolution,[],[f10185,f4632]) ).

fof(f23094,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ memberP(sk4,X0) )
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f23091,f7912]) ).

fof(f23146,plain,
    ( ~ memberP(sk4,sk5)
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(resolution,[],[f23094,f215]) ).

fof(f23149,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f23146,f214]) ).

fof(f23150,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f23149]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f259]) ).

cnf(s2,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s3,plain,
    ( spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s4,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f491]) ).

cnf(s6,plain,
    ( spl0_2
    | spl0_7 ),
    inference(sat_conversion,[],[f515]) ).

cnf(s7,plain,
    ( spl0_2
    | spl0_9 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s9,plain,
    ( spl0_2
    | spl0_8 ),
    inference(sat_conversion,[],[f536]) ).

cnf(s10,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f602]) ).

cnf(s11,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s12,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f656]) ).

cnf(s13,plain,
    ( spl0_2
    | spl0_11 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s14,plain,
    ( spl0_2
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f2970]) ).

cnf(s30,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f23150]) ).

cnf(s35,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_8
    | ~ spl0_9
    | spl0_2 ),
    inference(rat,[],[s3,s14,s30]) ).

cnf(s36,plain,
    ~ spl0_4,
    inference(rat,[],[s35,s12,s6,s7,s9,s13,s10,s2]) ).

cnf(s37,plain,
    spl0_1,
    inference(rat,[],[s4,s36]) ).

cnf(s38,plain,
    ~ spl0_2,
    inference(rat,[],[s11,s37]) ).

cnf(s39,plain,
    $false,
    inference(rat,[],[s1,s38,s37]) ).

fof(f23152,plain,
    $false,
    inference(avatar_sat_refutation,[],[s39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC410-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n026.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 09:34:27 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.65/1.86  % (3722455)Will run a generic schedule for satisfiability detection.
% 9.65/1.86  % (3722465)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4055189868:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.65/1.86  % (3722461)% WARNING: option uhcvi not known.
% 9.65/1.86  % (3722460)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3924997474_2999 on theBenchmark for (2999ds/0Mi)
% 9.65/1.86  % (3722461)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3308138936:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.65/1.86  % (3722462)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=41167735:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.65/1.86  % (3722463)dis+10_1_sil=32000:sp=arity:random_seed=1132963055:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.65/1.86  % (3722464)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=50752606:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.65/1.86  % (3722466)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1048474639:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.65/1.86  % TRYING [1]
% 9.65/1.86  % TRYING [2]
% 9.65/1.86  % TRYING [3]
% 9.65/1.86  % (3722465)Instruction limit reached! 
% 9.65/1.86  % (3722465)------------------------------
% 9.65/1.86  % (3722465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722465)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722465)Termination reason: Instruction limit
% 9.65/1.86  % (3722465)Termination phase: Saturation
% 9.65/1.86  % (3722465)Time elapsed: 0.036 s
% 9.65/1.86  % (3722465)Peak memory usage: 14 MB
% 9.65/1.86  % (3722465)Instructions burned: 132 (million)
% 9.65/1.86  % TRYING [4]
% 9.65/1.86  % (3722474)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3960816738:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 9.65/1.86  % TRYING [1]
% 9.65/1.86  % TRYING [2]
% 9.65/1.86  % TRYING [3]
% 9.65/1.86  % (3722463)Instruction limit reached! 
% 9.65/1.86  % (3722463)------------------------------
% 9.65/1.86  % (3722463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722463)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722463)Termination reason: Instruction limit
% 9.65/1.86  % (3722463)Termination phase: Saturation
% 9.65/1.86  % (3722463)Time elapsed: 0.060 s
% 9.65/1.86  % (3722463)Peak memory usage: 13 MB
% 9.65/1.86  % (3722463)Instructions burned: 104 (million)
% 9.65/1.86  % TRYING [4]
% 9.65/1.86  % (3722464)Instruction limit reached! 
% 9.65/1.86  % (3722464)------------------------------
% 9.65/1.86  % (3722464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722464)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722464)Termination reason: Instruction limit
% 9.65/1.86  % (3722464)Termination phase: Saturation
% 9.65/1.86  % (3722464)Time elapsed: 0.061 s
% 9.65/1.86  % (3722464)Peak memory usage: 13 MB
% 9.65/1.86  % (3722464)Instructions burned: 116 (million)
% 9.65/1.86  % (3722477)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=1998785061:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 9.65/1.86  % (3722476)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1947187895:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 9.65/1.86  % (3722466)Instruction limit reached! 
% 9.65/1.86  % (3722466)------------------------------
% 9.65/1.86  % (3722466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722466)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722466)Termination reason: Instruction limit
% 9.65/1.86  % (3722466)Termination phase: Saturation
% 9.65/1.86  % (3722466)Time elapsed: 0.091 s
% 9.65/1.86  % (3722466)Peak memory usage: 14 MB
% 9.65/1.86  % (3722466)Instructions burned: 160 (million)
% 9.65/1.86  % TRYING [5]
% 9.65/1.86  % TRYING [5]
% 9.65/1.86  % (3722480)ott-21_1_sil=16000:fs=off:random_seed=2540832691:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.65/1.86  % (3722476)Instruction limit reached! 
% 9.65/1.86  % (3722476)------------------------------
% 9.65/1.86  % (3722476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722476)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722476)Termination reason: Instruction limit
% 9.65/1.86  % (3722476)Termination phase: Saturation
% 9.65/1.86  % (3722476)Time elapsed: 0.068 s
% 9.65/1.86  % (3722476)Peak memory usage: 13 MB
% 9.65/1.86  % (3722476)Instructions burned: 132 (million)
% 9.65/1.86  % (3722482)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3788646330:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 9.65/1.86  % TRYING [6]
% 9.65/1.86  % (3722474)Instruction limit reached! 
% 9.65/1.86  % (3722474)------------------------------
% 9.65/1.86  % (3722474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722474)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722474)Termination reason: Instruction limit
% 9.65/1.86  % (3722474)Termination phase: Finite model building constraint generation
% 9.65/1.86  % (3722474)Time elapsed: 0.149 s
% 9.65/1.86  % (3722474)Peak memory usage: 34 MB
% 9.65/1.86  % (3722474)Instructions burned: 717 (million)
% 9.65/1.86  % (3722484)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=310403307:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.65/1.86  % (3722480)Instruction limit reached! 
% 9.65/1.86  % (3722480)------------------------------
% 9.65/1.86  % (3722480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722480)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722480)Termination reason: Instruction limit
% 9.65/1.86  % (3722480)Termination phase: Saturation
% 9.65/1.86  % (3722480)Time elapsed: 0.092 s
% 9.65/1.86  % (3722480)Peak memory usage: 13 MB
% 9.65/1.86  % (3722480)Instructions burned: 180 (million)
% 9.65/1.86  % TRYING [1]
% 9.65/1.86  % TRYING [2]
% 9.65/1.86  % TRYING [3]
% 9.65/1.86  % (3722486)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2864797661:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 9.65/1.86  % TRYING [4]
% 9.65/1.86  % TRYING [6]
% 9.65/1.86  % TRYING [5]
% 9.65/1.86  % (3722484)Instruction limit reached! 
% 9.65/1.86  % (3722484)------------------------------
% 9.65/1.86  % (3722484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722484)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722484)Termination reason: Instruction limit
% 9.65/1.86  % (3722484)Termination phase: Finite model building SAT solving
% 9.65/1.86  % (3722484)Time elapsed: 0.179 s
% 9.65/1.86  % (3722484)Peak memory usage: 23 MB
% 9.65/1.86  % (3722484)Instructions burned: 872 (million)
% 9.65/1.86  % (3722488)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1288132851:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 9.65/1.86  % TRYING [14]
% 9.65/1.86  % (3722482)Instruction limit reached! 
% 9.65/1.86  % (3722482)------------------------------
% 9.65/1.86  % (3722482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722482)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722482)Termination reason: Instruction limit
% 9.65/1.86  % (3722482)Termination phase: Saturation
% 9.65/1.86  % (3722482)Time elapsed: 0.318 s
% 9.65/1.86  % (3722482)Peak memory usage: 14 MB
% 9.65/1.86  % (3722482)Instructions burned: 478 (million)
% 9.65/1.86  % (3722490)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=3079800053:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 9.65/1.86  % (3722477)Instruction limit reached! 
% 9.65/1.86  % (3722477)------------------------------
% 9.65/1.86  % (3722477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722477)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722477)Termination reason: Instruction limit
% 9.65/1.86  % (3722477)Termination phase: Saturation
% 9.65/1.86  % (3722477)Time elapsed: 0.433 s
% 9.65/1.86  % (3722477)Peak memory usage: 20 MB
% 9.65/1.86  % (3722477)Instructions burned: 684 (million)
% 9.65/1.86  % (3722492)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2281488181:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 9.65/1.86  % (3722488)Instruction limit reached! 
% 9.65/1.86  % (3722488)------------------------------
% 9.65/1.86  % (3722488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722488)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722488)Termination reason: Instruction limit
% 9.65/1.86  % (3722488)Termination phase: Finite model building constraint generation
% 9.65/1.86  % (3722488)Time elapsed: 0.180 s
% 9.65/1.86  % (3722488)Peak memory usage: 72 MB
% 9.65/1.86  % (3722488)Instructions burned: 890 (million)
% 9.65/1.86  % (3722494)fmb+10_1_sil=64000:random_seed=3540745862:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 9.65/1.86  % TRYING [1]
% 9.65/1.86  % TRYING [2]
% 9.65/1.86  % TRYING [3]
% 9.65/1.86  % TRYING [4]
% 9.65/1.86  % TRYING [5]
% 9.65/1.86  % TRYING [7]
% 9.65/1.86  % (3722490)Instruction limit reached! 
% 9.65/1.86  % (3722490)------------------------------
% 9.65/1.86  % (3722490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722490)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722490)Termination reason: Instruction limit
% 9.65/1.86  % (3722490)Termination phase: Saturation
% 9.65/1.86  % (3722490)Time elapsed: 0.366 s
% 9.65/1.86  % (3722490)Peak memory usage: 19 MB
% 9.65/1.86  % (3722490)Instructions burned: 693 (million)
% 9.65/1.86  % (3722486)Instruction limit reached! 
% 9.65/1.86  % (3722486)------------------------------
% 9.65/1.86  % (3722486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722486)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722486)Termination reason: Instruction limit
% 9.65/1.86  % (3722486)Termination phase: Saturation
% 9.65/1.86  % (3722486)Time elapsed: 0.672 s
% 9.65/1.86  % (3722486)Peak memory usage: 24 MB
% 9.65/1.86  % (3722486)Instructions burned: 1179 (million)
% 9.65/1.86  % (3722496)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2836354493:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 9.65/1.86  % TRYING [20]
% 9.65/1.86  % (3722498)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3644018275:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 9.65/1.86  % TRYING [6]
% 9.65/1.86  % TRYING [8]
% 9.65/1.86  % (3722492)Instruction limit reached! 
% 9.65/1.86  % (3722492)------------------------------
% 9.65/1.86  % (3722492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722492)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722492)Termination reason: Instruction limit
% 9.65/1.86  % (3722492)Termination phase: Saturation
% 9.65/1.86  % (3722492)Time elapsed: 0.455 s
% 9.65/1.86  % (3722492)Peak memory usage: 20 MB
% 9.65/1.86  % (3722492)Instructions burned: 880 (million)
% 9.65/1.86  % (3722500)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3915833988:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 9.65/1.86  % (3722498)Instruction limit reached! 
% 9.65/1.86  % (3722498)------------------------------
% 9.65/1.86  % (3722498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722498)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722498)Termination reason: Instruction limit
% 9.65/1.86  % (3722498)Termination phase: Finite model building constraint generation
% 9.65/1.86  % (3722498)Time elapsed: 0.333 s
% 9.65/1.86  % (3722498)Peak memory usage: 79 MB
% 9.65/1.86  % (3722498)Instructions burned: 922 (million)
% 9.65/1.86  % (3722502)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=834919675:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 9.65/1.86  % TRYING [7]
% 9.65/1.86  % (3722500) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3722455-3722500"...
% 9.65/1.86  % (3722500)...printing done.
% 9.65/1.86  % (3722500)Refutation found. Thanks to Tanya!
% 9.65/1.86  % SZS status Unsatisfiable for theBenchmark
% 9.65/1.86  % SZS output start Proof for theBenchmark
% See solution above
% 9.65/1.86  % (3722500)------------------------------
% 9.65/1.86  % (3722500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.65/1.86  % (3722500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.65/1.86  % (3722500)CaDiCaL version: 2.1.3
% 9.65/1.86  % (3722500)Termination reason: Refutation
% 9.65/1.86  % (3722500)Time elapsed: 0.554 s
% 9.65/1.86  % (3722500)Peak memory usage: 21 MB
% 9.65/1.86  % (3722500)Instructions burned: 1028 (million)
% 9.65/1.86  % (3722455)Success in time 1.627 s
% 9.65/1.86  % Vampire exiting
%------------------------------------------------------------------------------