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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC171-1 : 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 : n001.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 01:04:57 PM UTC 2026

% Result   : Unsatisfiable 16.00s 5.94s
% Output   : Refutation 16.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  186 (  67 unt;   6 def)
%            Number of atoms       :  477 ( 192 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  568 ( 277   ~; 291   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  14 con; 0-2 aty)
%            Number of variables   :  103 ( 103   !;   0   ?)

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

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).

fof(f84,axiom,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).

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

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

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(f104,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause102) ).

fof(f105,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | X0 = X1 ),
    inference(reorient_equations,[],[f104]) ).

fof(f112,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(skaf83(X0),skaf82(X0)) = X0
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).

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(f123,axiom,
    ! [X0,X1] :
      ( app(X0,X1) != nil
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause119) ).

fof(f124,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    inference(reorient_equations,[],[f123]) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox/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(f138,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ frontsegP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause129) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1 ),
    inference(reorient_equations,[],[f138]) ).

fof(f143,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).

fof(f148,axiom,
    ! [X2,X0,X1] :
      ( frontsegP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).

fof(f155,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != X2
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | frontsegP(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).

fof(f162,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != app(X0,X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).

fof(f163,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != app(X2,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).

fof(f183,axiom,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause170) ).

fof(f184,axiom,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | X3 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause171) ).

fof(f185,plain,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | X1 = X3 ),
    inference(reorient_equations,[],[f184]) ).

fof(f188,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(cons(X0,X1),cons(X2,X3))
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | frontsegP(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause174) ).

fof(f190,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(cons(X0,X1),cons(X2,X3))
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause176) ).

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

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

fof(f206,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f211,plain,
    sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
    inference(reorient_equations,[],[f210]) ).

fof(f212,negated_conjecture,
    ~ neq(sk5,sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f214,negated_conjecture,
    ( ssItem(sk9)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f219,negated_conjecture,
    ( cons(sk9,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f220,plain,
    ( sk3 = cons(sk9,nil)
    | nil = sk3 ),
    inference(reorient_equations,[],[f219]) ).

fof(f225,plain,
    sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
    inference(definition_unfolding,[],[f211,f205]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f155]) ).

fof(f250,definition,
    sF0 = cons(sk5,nil),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f251,plain,
    cons(sk5,nil) = sF0,
    inference(reorient_equations,[],[f250]) ).

fof(f252,definition,
    sF1 = app(sk7,sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f253,plain,
    app(sk7,sF0) = sF1,
    inference(reorient_equations,[],[f252]) ).

fof(f254,definition,
    sF2 = cons(sk6,nil),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f255,plain,
    cons(sk6,nil) = sF2,
    inference(reorient_equations,[],[f254]) ).

fof(f256,definition,
    sF3 = app(sF1,sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f257,plain,
    app(sF1,sF2) = sF3,
    inference(reorient_equations,[],[f256]) ).

fof(f258,definition,
    sF4 = app(sF3,sk8),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f259,plain,
    app(sF3,sk8) = sF4,
    inference(reorient_equations,[],[f258]) ).

fof(f260,plain,
    sk3 = sF4,
    inference(definition_folding,[],[f225,f259,f257,f255,f253,f251]) ).

fof(f261,definition,
    sF5 = cons(sk9,nil),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f262,plain,
    cons(sk9,nil) = sF5,
    inference(reorient_equations,[],[f261]) ).

fof(f264,plain,
    ( sk3 = sF5
    | nil = sk3 ),
    inference(definition_folding,[],[f220,f262]) ).

fof(f271,plain,
    sk3 = app(sF3,sk8),
    inference(forward_demodulation,[],[f259,f260]) ).

fof(f375,plain,
    sk7 = app(sk7,nil),
    inference(resolution,[],[f73,f208]) ).

fof(f435,plain,
    ( ssList(sF1)
    | ~ ssList(sk7)
    | ~ ssList(sF0) ),
    inference(superposition,[],[f85,f253]) ).

fof(f437,plain,
    ( ~ ssList(sF0)
    | ssList(sF1) ),
    inference(forward_subsumption_resolution,[],[f435,f208]) ).

fof(f441,plain,
    ( ssList(sF0)
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f86,f251]) ).

fof(f446,plain,
    ( ssList(sF0)
    | ~ ssItem(sk5) ),
    inference(forward_subsumption_resolution,[],[f441,f8]) ).

fof(f448,plain,
    ssList(sF0),
    inference(forward_subsumption_resolution,[],[f446,f206]) ).

fof(f461,plain,
    ssList(sF1),
    inference(resolution,[],[f437,f448]) ).

fof(f471,plain,
    ( nil != sF0
    | ~ ssItem(sk5)
    | ~ ssList(nil) ),
    inference(superposition,[],[f99,f251]) ).

fof(f476,plain,
    ( nil != sF0
    | ~ ssList(nil) ),
    inference(forward_subsumption_resolution,[],[f471,f206]) ).

fof(f478,plain,
    nil != sF0,
    inference(forward_subsumption_resolution,[],[f476,f8]) ).

fof(f513,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | tl(cons(sk5,X0)) = X0 ),
    inference(resolution,[],[f96,f206]) ).

fof(f552,plain,
    ( ~ ssItem(sk5)
    | ~ ssItem(sk6)
    | sk5 = sk6 ),
    inference(resolution,[],[f105,f212]) ).

fof(f557,plain,
    ( ~ ssItem(sk6)
    | sk5 = sk6 ),
    inference(forward_subsumption_resolution,[],[f552,f206]) ).

fof(f558,plain,
    sk5 = sk6,
    inference(forward_subsumption_resolution,[],[f557,f207]) ).

fof(f560,plain,
    cons(sk5,nil) = sF2,
    inference(superposition,[],[f255,f558]) ).

fof(f563,plain,
    sF0 = sF2,
    inference(forward_demodulation,[],[f560,f251]) ).

fof(f568,plain,
    sF3 = app(sF1,sF0),
    inference(superposition,[],[f257,f563]) ).

fof(f684,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = tl(X0)
      | tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
      | nil = X0 ),
    inference(resolution,[],[f112,f77]) ).

fof(f685,plain,
    ( sk3 = cons(skaf83(sk3),skaf82(sk3))
    | nil = sk3 ),
    inference(resolution,[],[f112,f202]) ).

fof(f696,plain,
    ( ssList(sF3)
    | ~ ssList(sF1)
    | ~ ssList(sF0) ),
    inference(superposition,[],[f85,f568]) ).

fof(f697,plain,
    ( ssList(sF3)
    | ~ ssList(sF0) ),
    inference(forward_subsumption_resolution,[],[f696,f461]) ).

fof(f698,plain,
    ssList(sF3),
    inference(forward_subsumption_resolution,[],[f697,f448]) ).

fof(f730,plain,
    ( nil != sF1
    | ~ ssList(sF0)
    | ~ ssList(sk7)
    | nil = sF0 ),
    inference(superposition,[],[f124,f253]) ).

fof(f737,plain,
    ( nil != sF1
    | ~ ssList(sk7)
    | nil = sF0 ),
    inference(forward_subsumption_resolution,[],[f730,f448]) ).

fof(f741,plain,
    ( nil != sF1
    | nil = sF0 ),
    inference(forward_subsumption_resolution,[],[f737,f208]) ).

fof(f744,plain,
    nil != sF1,
    inference(forward_subsumption_resolution,[],[f741,f478]) ).

fof(f768,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(sk5,X0) = app(cons(sk5,nil),X0) ),
    inference(resolution,[],[f126,f206]) ).

fof(f775,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(sk5,X0) = app(sF0,X0) ),
    inference(forward_demodulation,[],[f768,f251]) ).

fof(f919,plain,
    ( frontsegP(sF3,sF1)
    | ~ ssList(sF1)
    | ~ ssList(sF3)
    | ~ ssList(sF0) ),
    inference(superposition,[],[f237,f568]) ).

fof(f921,plain,
    ( frontsegP(sk3,sF3)
    | ~ ssList(sF3)
    | ~ ssList(sk3)
    | ~ ssList(sk8) ),
    inference(superposition,[],[f237,f271]) ).

fof(f940,plain,
    ( frontsegP(sk3,sF3)
    | ~ ssList(sk3)
    | ~ ssList(sk8) ),
    inference(forward_subsumption_resolution,[],[f921,f698]) ).

fof(f941,plain,
    ( frontsegP(sF3,sF1)
    | ~ ssList(sF3)
    | ~ ssList(sF0) ),
    inference(forward_subsumption_resolution,[],[f919,f461]) ).

fof(f945,plain,
    ( frontsegP(sk3,sF3)
    | ~ ssList(sk8) ),
    inference(forward_subsumption_resolution,[],[f940,f202]) ).

fof(f946,plain,
    ( frontsegP(sF3,sF1)
    | ~ ssList(sF0) ),
    inference(forward_subsumption_resolution,[],[f941,f698]) ).

fof(f949,plain,
    frontsegP(sk3,sF3),
    inference(forward_subsumption_resolution,[],[f945,f209]) ).

fof(f950,plain,
    frontsegP(sF3,sF1),
    inference(forward_subsumption_resolution,[],[f946,f448]) ).

fof(f1104,plain,
    ( ~ frontsegP(sF1,sF3)
    | ~ ssList(sF1)
    | ~ ssList(sF3)
    | sF1 = sF3 ),
    inference(resolution,[],[f950,f139]) ).

fof(f1105,plain,
    ( ~ frontsegP(sF1,sF3)
    | ~ ssList(sF3)
    | sF1 = sF3 ),
    inference(forward_subsumption_resolution,[],[f1104,f461]) ).

fof(f1107,plain,
    ( ~ frontsegP(sF1,sF3)
    | sF1 = sF3 ),
    inference(forward_subsumption_resolution,[],[f1105,f698]) ).

fof(f1129,plain,
    ! [X0] :
      ( frontsegP(sk3,X0)
      | ~ ssList(sk8)
      | ~ ssList(X0)
      | ~ ssList(sF3)
      | ~ frontsegP(sF3,X0) ),
    inference(superposition,[],[f148,f271]) ).

fof(f1133,plain,
    ! [X0] :
      ( frontsegP(sk3,X0)
      | ~ ssList(X0)
      | ~ ssList(sF3)
      | ~ frontsegP(sF3,X0) ),
    inference(forward_subsumption_resolution,[],[f1129,f209]) ).

fof(f1147,plain,
    ! [X0] :
      ( ~ frontsegP(sF3,X0)
      | ~ ssList(X0)
      | frontsegP(sk3,X0) ),
    inference(forward_subsumption_resolution,[],[f1133,f698]) ).

fof(f1449,plain,
    ! [X0] :
      ( sF1 != app(sk7,X0)
      | ~ ssList(X0)
      | ~ ssList(sk7)
      | ~ ssList(sF0)
      | sF0 = X0 ),
    inference(superposition,[],[f162,f253]) ).

fof(f1470,plain,
    ! [X0] :
      ( sF1 != app(sk7,X0)
      | ~ ssList(X0)
      | ~ ssList(sF0)
      | sF0 = X0 ),
    inference(forward_subsumption_resolution,[],[f1449,f208]) ).

fof(f1514,plain,
    ! [X0] :
      ( sF1 != app(sk7,X0)
      | ~ ssList(X0)
      | sF0 = X0 ),
    inference(forward_subsumption_resolution,[],[f1470,f448]) ).

fof(f1600,plain,
    ! [X0] :
      ( sF1 != app(X0,sF0)
      | ~ ssList(X0)
      | ~ ssList(sF0)
      | ~ ssList(sk7)
      | sk7 = X0 ),
    inference(superposition,[],[f163,f253]) ).

fof(f1621,plain,
    ! [X0] :
      ( sF1 != app(X0,sF0)
      | ~ ssList(X0)
      | ~ ssList(sk7)
      | sk7 = X0 ),
    inference(forward_subsumption_resolution,[],[f1600,f448]) ).

fof(f1665,plain,
    ! [X0] :
      ( sF1 != app(X0,sF0)
      | ~ ssList(X0)
      | sk7 = X0 ),
    inference(forward_subsumption_resolution,[],[f1621,f208]) ).

fof(f2151,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sF5
      | ~ ssItem(sk9)
      | ~ ssItem(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | sk9 = X0 ),
    inference(superposition,[],[f183,f262]) ).

fof(f2157,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sF5
      | ~ ssItem(sk9)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | sk9 = X0 ),
    inference(forward_subsumption_resolution,[],[f2151,f8]) ).

fof(f2196,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sF5
      | ~ ssItem(sk9)
      | ~ ssItem(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | nil = X1 ),
    inference(superposition,[],[f185,f262]) ).

fof(f2202,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sF5
      | ~ ssItem(sk9)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | nil = X1 ),
    inference(forward_subsumption_resolution,[],[f2196,f8]) ).

fof(f2257,plain,
    sF1 = tl(cons(sk5,sF1)),
    inference(resolution,[],[f513,f461]) ).

fof(f2357,plain,
    ! [X0,X1] :
      ( ~ frontsegP(sF5,cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssItem(X0)
      | ~ ssItem(sk9)
      | frontsegP(nil,X1) ),
    inference(superposition,[],[f188,f262]) ).

fof(f2372,plain,
    ! [X0,X1] :
      ( ~ frontsegP(sF5,cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(sk9)
      | frontsegP(nil,X1) ),
    inference(forward_subsumption_resolution,[],[f2357,f8]) ).

fof(f2393,plain,
    ! [X0,X1] :
      ( ~ frontsegP(sF5,cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssItem(X0)
      | ~ ssItem(sk9)
      | sk9 = X0 ),
    inference(superposition,[],[f190,f262]) ).

fof(f2412,plain,
    ! [X0,X1] :
      ( ~ frontsegP(sF5,cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(sk9)
      | sk9 = X0 ),
    inference(forward_subsumption_resolution,[],[f2393,f8]) ).

fof(f3499,plain,
    ( ~ ssList(sF1)
    | frontsegP(sk3,sF1) ),
    inference(resolution,[],[f1147,f950]) ).

fof(f3506,plain,
    frontsegP(sk3,sF1),
    inference(forward_subsumption_resolution,[],[f3499,f461]) ).

fof(f3526,plain,
    ( ~ ssList(sF1)
    | ~ ssList(sk3)
    | sk3 = app(sF1,skaf45(sk3,sF1)) ),
    inference(resolution,[],[f3506,f143]) ).

fof(f3529,plain,
    ( ~ ssList(sk3)
    | sk3 = app(sF1,skaf45(sk3,sF1)) ),
    inference(forward_subsumption_resolution,[],[f3526,f461]) ).

fof(f3532,plain,
    sk3 = app(sF1,skaf45(sk3,sF1)),
    inference(forward_subsumption_resolution,[],[f3529,f202]) ).

fof(f3597,plain,
    cons(sk5,sF1) = app(sF0,sF1),
    inference(resolution,[],[f775,f461]) ).

fof(f4212,plain,
    ( sk7 != sF1
    | ~ ssList(nil)
    | nil = sF0 ),
    inference(superposition,[],[f1514,f375]) ).

fof(f4216,plain,
    ( sk7 != sF1
    | nil = sF0 ),
    inference(forward_subsumption_resolution,[],[f4212,f8]) ).

fof(f4217,plain,
    sk7 != sF1,
    inference(forward_subsumption_resolution,[],[f4216,f478]) ).

fof(f4227,plain,
    ( sF1 != sF3
    | ~ ssList(sF1)
    | sk7 = sF1 ),
    inference(superposition,[],[f1665,f568]) ).

fof(f4229,plain,
    ( sF1 != sF3
    | sk7 = sF1 ),
    inference(forward_subsumption_resolution,[],[f4227,f461]) ).

fof(f4233,plain,
    sF1 != sF3,
    inference(forward_subsumption_resolution,[],[f4229,f4217]) ).

fof(f6317,plain,
    ( ssList(cons(sk5,sF1))
    | ~ ssList(sF0)
    | ~ ssList(sF1) ),
    inference(superposition,[],[f85,f3597]) ).

fof(f6319,plain,
    ( nil != cons(sk5,sF1)
    | ~ ssList(sF1)
    | ~ ssList(sF0)
    | nil = sF1 ),
    inference(superposition,[],[f124,f3597]) ).

fof(f6345,plain,
    ( nil != cons(sk5,sF1)
    | ~ ssList(sF0)
    | nil = sF1 ),
    inference(forward_subsumption_resolution,[],[f6319,f461]) ).

fof(f6347,plain,
    ( ssList(cons(sk5,sF1))
    | ~ ssList(sF1) ),
    inference(forward_subsumption_resolution,[],[f6317,f448]) ).

fof(f6360,plain,
    ( nil != cons(sk5,sF1)
    | nil = sF1 ),
    inference(forward_subsumption_resolution,[],[f6345,f448]) ).

fof(f6362,plain,
    ssList(cons(sk5,sF1)),
    inference(forward_subsumption_resolution,[],[f6347,f461]) ).

fof(f6364,plain,
    nil != cons(sk5,sF1),
    inference(forward_subsumption_resolution,[],[f6360,f744]) ).

fof(f7373,plain,
    ( nil != sk3
    | ~ ssList(skaf45(sk3,sF1))
    | ~ ssList(sF1)
    | nil = sF1 ),
    inference(superposition,[],[f122,f3532]) ).

fof(f7401,plain,
    ( nil != sk3
    | ~ ssList(sF1)
    | nil = sF1 ),
    inference(forward_subsumption_resolution,[],[f7373,f51]) ).

fof(f7417,plain,
    ( nil != sk3
    | nil = sF1 ),
    inference(forward_subsumption_resolution,[],[f7401,f461]) ).

fof(f7420,plain,
    nil != sk3,
    inference(forward_subsumption_resolution,[],[f7417,f744]) ).

fof(f18282,plain,
    ( sk3 != sF5
    | ~ ssItem(sk9)
    | ~ ssItem(skaf83(sk3))
    | ~ ssList(skaf82(sk3))
    | sk9 = skaf83(sk3)
    | nil = sk3 ),
    inference(superposition,[],[f2157,f685]) ).

fof(f18292,plain,
    ( ~ ssItem(sk9)
    | ~ ssItem(skaf83(sk3))
    | ~ ssList(skaf82(sk3))
    | sk9 = skaf83(sk3)
    | nil = sk3 ),
    inference(forward_subsumption_resolution,[],[f18282,f264]) ).

fof(f18323,plain,
    ( ~ ssItem(skaf83(sk3))
    | ~ ssList(skaf82(sk3))
    | sk9 = skaf83(sk3)
    | nil = sk3 ),
    inference(forward_subsumption_resolution,[],[f18292,f214]) ).

fof(f18351,plain,
    ( ~ ssList(skaf82(sk3))
    | sk9 = skaf83(sk3)
    | nil = sk3 ),
    inference(forward_subsumption_resolution,[],[f18323,f12]) ).

fof(f18356,plain,
    ( sk9 = skaf83(sk3)
    | nil = sk3 ),
    inference(forward_subsumption_resolution,[],[f18351,f13]) ).

fof(f18360,plain,
    sk9 = skaf83(sk3),
    inference(forward_subsumption_resolution,[],[f18356,f7420]) ).

fof(f18369,plain,
    ssItem(sk9),
    inference(superposition,[],[f12,f18360]) ).

fof(f18418,plain,
    ( sk3 != sF5
    | ~ ssItem(sk9)
    | ~ ssItem(skaf83(sk3))
    | ~ ssList(skaf82(sk3))
    | nil = skaf82(sk3)
    | nil = sk3 ),
    inference(superposition,[],[f2202,f685]) ).

fof(f18427,plain,
    ( ~ ssItem(sk9)
    | ~ ssItem(skaf83(sk3))
    | ~ ssList(skaf82(sk3))
    | nil = skaf82(sk3)
    | nil = sk3 ),
    inference(forward_subsumption_resolution,[],[f18418,f264]) ).

fof(f18476,plain,
    ( ~ ssItem(skaf83(sk3))
    | ~ ssList(skaf82(sk3))
    | nil = skaf82(sk3)
    | nil = sk3 ),
    inference(forward_subsumption_resolution,[],[f18427,f214]) ).

fof(f18501,plain,
    ( ~ ssList(skaf82(sk3))
    | nil = skaf82(sk3)
    | nil = sk3 ),
    inference(forward_subsumption_resolution,[],[f18476,f12]) ).

fof(f18523,plain,
    ( nil = skaf82(sk3)
    | nil = sk3 ),
    inference(forward_subsumption_resolution,[],[f18501,f13]) ).

fof(f18524,plain,
    nil = skaf82(sk3),
    inference(forward_subsumption_resolution,[],[f18523,f7420]) ).

fof(f19441,plain,
    ( sk3 = cons(skaf83(sk3),nil)
    | nil = sk3 ),
    inference(superposition,[],[f685,f18524]) ).

fof(f19450,plain,
    sk3 = cons(skaf83(sk3),nil),
    inference(forward_subsumption_resolution,[],[f19441,f7420]) ).

fof(f19451,plain,
    sk3 = cons(sk9,nil),
    inference(forward_demodulation,[],[f19450,f18360]) ).

fof(f19562,plain,
    sk3 = sF5,
    inference(superposition,[],[f262,f19451]) ).

fof(f27561,plain,
    ( nil = tl(cons(sk5,sF1))
    | tl(cons(sk5,sF1)) = cons(skaf83(tl(cons(sk5,sF1))),skaf82(tl(cons(sk5,sF1))))
    | nil = cons(sk5,sF1) ),
    inference(resolution,[],[f684,f6362]) ).

fof(f27581,plain,
    ( nil = tl(cons(sk5,sF1))
    | tl(cons(sk5,sF1)) = cons(skaf83(tl(cons(sk5,sF1))),skaf82(tl(cons(sk5,sF1)))) ),
    inference(forward_subsumption_resolution,[],[f27561,f6364]) ).

fof(f27591,plain,
    ( nil = sF1
    | tl(cons(sk5,sF1)) = cons(skaf83(tl(cons(sk5,sF1))),skaf82(tl(cons(sk5,sF1)))) ),
    inference(forward_demodulation,[],[f27581,f2257]) ).

fof(f27599,plain,
    tl(cons(sk5,sF1)) = cons(skaf83(tl(cons(sk5,sF1))),skaf82(tl(cons(sk5,sF1)))),
    inference(forward_subsumption_resolution,[],[f27591,f744]) ).

fof(f27606,plain,
    sF1 = cons(skaf83(sF1),skaf82(sF1)),
    inference(forward_demodulation,[],[f27599,f2257]) ).

fof(f29907,plain,
    ( ~ frontsegP(sF5,sF1)
    | ~ ssList(skaf82(sF1))
    | ~ ssItem(skaf83(sF1))
    | ~ ssItem(sk9)
    | frontsegP(nil,skaf82(sF1)) ),
    inference(superposition,[],[f2372,f27606]) ).

fof(f29910,plain,
    ( ~ frontsegP(sF5,sF1)
    | ~ ssList(skaf82(sF1))
    | ~ ssItem(skaf83(sF1))
    | ~ ssItem(sk9)
    | sk9 = skaf83(sF1) ),
    inference(superposition,[],[f2412,f27606]) ).

fof(f29935,plain,
    ( ~ frontsegP(sF5,sF1)
    | ~ ssItem(skaf83(sF1))
    | ~ ssItem(sk9)
    | sk9 = skaf83(sF1) ),
    inference(forward_subsumption_resolution,[],[f29910,f13]) ).

fof(f29938,plain,
    ( ~ frontsegP(sF5,sF1)
    | ~ ssItem(skaf83(sF1))
    | ~ ssItem(sk9)
    | frontsegP(nil,skaf82(sF1)) ),
    inference(forward_subsumption_resolution,[],[f29907,f13]) ).

fof(f29987,plain,
    ( ~ frontsegP(sF5,sF1)
    | ~ ssItem(sk9)
    | sk9 = skaf83(sF1) ),
    inference(forward_subsumption_resolution,[],[f29935,f12]) ).

fof(f29990,plain,
    ( ~ frontsegP(sF5,sF1)
    | ~ ssItem(sk9)
    | frontsegP(nil,skaf82(sF1)) ),
    inference(forward_subsumption_resolution,[],[f29938,f12]) ).

fof(f30027,plain,
    ( ~ frontsegP(sF5,sF1)
    | sk9 = skaf83(sF1) ),
    inference(forward_subsumption_resolution,[],[f29987,f18369]) ).

fof(f30029,plain,
    ( ~ frontsegP(sF5,sF1)
    | frontsegP(nil,skaf82(sF1)) ),
    inference(forward_subsumption_resolution,[],[f29990,f18369]) ).

fof(f30032,plain,
    ( ~ frontsegP(sk3,sF1)
    | sk9 = skaf83(sF1) ),
    inference(forward_demodulation,[],[f30027,f19562]) ).

fof(f30034,plain,
    ( ~ frontsegP(sk3,sF1)
    | frontsegP(nil,skaf82(sF1)) ),
    inference(forward_demodulation,[],[f30029,f19562]) ).

fof(f30037,plain,
    sk9 = skaf83(sF1),
    inference(forward_subsumption_resolution,[],[f30032,f3506]) ).

fof(f30038,plain,
    frontsegP(nil,skaf82(sF1)),
    inference(forward_subsumption_resolution,[],[f30034,f3506]) ).

fof(f30494,plain,
    ( ~ ssList(skaf82(sF1))
    | nil = skaf82(sF1) ),
    inference(resolution,[],[f30038,f84]) ).

fof(f30503,plain,
    nil = skaf82(sF1),
    inference(forward_subsumption_resolution,[],[f30494,f13]) ).

fof(f30526,plain,
    sF1 = cons(skaf83(sF1),nil),
    inference(superposition,[],[f27606,f30503]) ).

fof(f30536,plain,
    cons(sk9,nil) = sF1,
    inference(forward_demodulation,[],[f30526,f30037]) ).

fof(f30537,plain,
    sF1 = sF5,
    inference(forward_demodulation,[],[f30536,f262]) ).

fof(f30538,plain,
    sk3 = sF1,
    inference(forward_demodulation,[],[f30537,f19562]) ).

fof(f30554,plain,
    ( ~ frontsegP(sk3,sF3)
    | sk3 = sF3 ),
    inference(superposition,[],[f1107,f30538]) ).

fof(f30631,plain,
    sk3 = sF3,
    inference(forward_subsumption_resolution,[],[f30554,f949]) ).

fof(f30684,plain,
    sk3 != sF1,
    inference(superposition,[],[f4233,f30631]) ).

fof(f30729,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f30684,f30538]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC171-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38  % Computer : n001.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Mon Sep 28 08:22:02 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41  Running first-order model finding
% 0.13/0.41  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
% 26.31/4.18  % (207218)Will run a generic schedule for satisfiability detection.
% 26.31/4.18  % (207224)% WARNING: option uhcvi not known.
% 26.31/4.18  % (207224)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1694285940:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.31/4.18  % (207223)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2830965035_2999 on theBenchmark for (2999ds/0Mi)
% 26.31/4.18  % (207225)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=707703197:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.31/4.18  % (207226)dis+10_1_sil=32000:sp=arity:random_seed=1540551276:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.31/4.18  % (207227)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2327546682:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.31/4.18  % (207229)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1624363648:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.31/4.18  % (207228)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1432607422:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.31/4.18  % TRYING [1]
% 26.31/4.18  % TRYING [2]
% 26.31/4.18  % TRYING [3]
% 26.31/4.18  % TRYING [4]
% 26.31/4.18  % (207226)Instruction limit reached! 
% 26.31/4.18  % (207226)------------------------------
% 26.31/4.18  % (207226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.31/4.18  % (207226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.18  % (207226)CaDiCaL version: 2.1.3
% 26.31/4.18  % (207226)Termination reason: Instruction limit
% 26.31/4.18  % (207226)Termination phase: Saturation
% 26.31/4.18  % (207226)Time elapsed: 0.059 s
% 26.31/4.18  % (207226)Peak memory usage: 13 MB
% 26.31/4.18  % (207226)Instructions burned: 104 (million)
% 26.31/4.18  % (207227)Instruction limit reached! 
% 26.31/4.18  % (207227)------------------------------
% 26.31/4.18  % (207227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.31/4.18  % (207227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.18  % (207227)CaDiCaL version: 2.1.3
% 26.31/4.18  % (207227)Termination reason: Instruction limit
% 26.31/4.18  % (207227)Termination phase: Saturation
% 26.31/4.18  % (207227)Time elapsed: 0.060 s
% 26.31/4.18  % (207227)Peak memory usage: 13 MB
% 26.31/4.18  % (207227)Instructions burned: 116 (million)
% 26.31/4.18  % (207228)Instruction limit reached! 
% 26.31/4.18  % (207228)------------------------------
% 26.31/4.18  % (207228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.31/4.18  % (207228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.18  % (207228)CaDiCaL version: 2.1.3
% 26.31/4.18  % (207228)Termination reason: Instruction limit
% 26.31/4.18  % (207228)Termination phase: Saturation
% 26.31/4.18  % (207228)Time elapsed: 0.065 s
% 26.31/4.18  % (207228)Peak memory usage: 14 MB
% 26.31/4.18  % (207228)Instructions burned: 131 (million)
% 26.31/4.18  % (207237)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1848968845:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 26.31/4.18  % (207238)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2428958812:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 26.31/4.18  % (207239)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=2135964871:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.31/4.18  % (207229)Instruction limit reached! 
% 26.31/4.18  % (207229)------------------------------
% 26.31/4.18  % (207229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.31/4.18  % (207229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.18  % (207229)CaDiCaL version: 2.1.3
% 26.31/4.18  % (207229)Termination reason: Instruction limit
% 26.31/4.18  % (207229)Termination phase: Saturation
% 26.31/4.18  % (207229)Time elapsed: 0.091 s
% 26.31/4.18  % (207229)Peak memory usage: 14 MB
% 26.31/4.18  % (207229)Instructions burned: 160 (million)
% 26.31/4.18  % TRYING [1]
% 26.31/4.18  % TRYING [2]
% 26.31/4.18  % TRYING [3]
% 26.31/4.18  % TRYING [5]
% 26.31/4.18  % (207243)ott-21_1_sil=16000:fs=off:random_seed=2142197065:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.31/4.18  % TRYING [4]
% 26.31/4.18  % (207238)Instruction limit reached! 
% 26.31/4.18  % (207238)------------------------------
% 26.31/4.18  % (207238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.31/4.18  % (207238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207238)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207238)Termination reason: Instruction limit
% 16.00/5.94  % (207238)Termination phase: Saturation
% 16.00/5.94  % (207238)Time elapsed: 0.067 s
% 16.00/5.94  % (207238)Peak memory usage: 13 MB
% 16.00/5.94  % (207238)Instructions burned: 133 (million)
% 16.00/5.94  % (207245)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4130583472:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.00/5.94  % TRYING [5]
% 16.00/5.94  % (207243)Instruction limit reached! 
% 16.00/5.94  % (207243)------------------------------
% 16.00/5.94  % (207243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207243)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207243)Termination reason: Instruction limit
% 16.00/5.94  % (207243)Termination phase: Saturation
% 16.00/5.94  % (207243)Time elapsed: 0.088 s
% 16.00/5.94  % (207243)Peak memory usage: 13 MB
% 16.00/5.94  % (207243)Instructions burned: 180 (million)
% 16.00/5.94  % (207247)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3581213948:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.00/5.94  % TRYING [1]
% 16.00/5.94  % TRYING [2]
% 16.00/5.94  % TRYING [3]
% 16.00/5.94  % TRYING [6]
% 16.00/5.94  % TRYING [4]
% 16.00/5.94  % TRYING [6]
% 16.00/5.94  % (207237)Instruction limit reached! 
% 16.00/5.94  % (207237)------------------------------
% 16.00/5.94  % (207237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207237)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207237)Termination reason: Instruction limit
% 16.00/5.94  % (207237)Termination phase: Finite model building constraint generation
% 16.00/5.94  % (207237)Time elapsed: 0.280 s
% 16.00/5.94  % (207237)Peak memory usage: 34 MB
% 16.00/5.94  % (207237)Instructions burned: 715 (million)
% 16.00/5.94  % (207249)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=429653433:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 16.00/5.94  % TRYING [5]
% 16.00/5.94  % (207239)Instruction limit reached! 
% 16.00/5.94  % (207239)------------------------------
% 16.00/5.94  % (207239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207239)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207239)Termination reason: Instruction limit
% 16.00/5.94  % (207239)Termination phase: Saturation
% 16.00/5.94  % (207239)Time elapsed: 0.381 s
% 16.00/5.94  % (207239)Peak memory usage: 20 MB
% 16.00/5.94  % (207239)Instructions burned: 685 (million)
% 16.00/5.94  % (207251)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=660601043:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 16.00/5.94  % (207245)Instruction limit reached! 
% 16.00/5.94  % (207245)------------------------------
% 16.00/5.94  % (207245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207245)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207245)Termination reason: Instruction limit
% 16.00/5.94  % (207245)Termination phase: Saturation
% 16.00/5.94  % (207245)Time elapsed: 0.327 s
% 16.00/5.94  % (207245)Peak memory usage: 15 MB
% 16.00/5.94  % (207245)Instructions burned: 477 (million)
% 16.00/5.94  % (207253)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=1130063259: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)
% 16.00/5.94  % (207247)Instruction limit reached! 
% 16.00/5.94  % (207247)------------------------------
% 16.00/5.94  % (207247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207247)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207247)Termination reason: Instruction limit
% 16.00/5.94  % (207247)Termination phase: Finite model building SAT solving
% 16.00/5.94  % (207247)Time elapsed: 0.341 s
% 16.00/5.94  % (207247)Peak memory usage: 22 MB
% 16.00/5.94  % (207247)Instructions burned: 866 (million)
% 16.00/5.94  % TRYING [14]
% 16.00/5.94  % (207255)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2342048928:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 16.00/5.94  % TRYING [7]
% 16.00/5.94  % (207251)Instruction limit reached! 
% 16.00/5.94  % (207251)------------------------------
% 16.00/5.94  % (207251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207251)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207251)Termination reason: Instruction limit
% 16.00/5.94  % (207251)Termination phase: Finite model building constraint generation
% 16.00/5.94  % (207251)Time elapsed: 0.323 s
% 16.00/5.94  % (207251)Peak memory usage: 73 MB
% 16.00/5.94  % (207251)Instructions burned: 892 (million)
% 16.00/5.94  % (207257)fmb+10_1_sil=64000:random_seed=357863294:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 16.00/5.94  % TRYING [1]
% 16.00/5.94  % TRYING [2]
% 16.00/5.94  % TRYING [3]
% 16.00/5.94  % (207253)Instruction limit reached! 
% 16.00/5.94  % (207253)------------------------------
% 16.00/5.94  % (207253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207253)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207253)Termination reason: Instruction limit
% 16.00/5.94  % (207253)Termination phase: Saturation
% 16.00/5.94  % (207253)Time elapsed: 0.383 s
% 16.00/5.94  % (207253)Peak memory usage: 19 MB
% 16.00/5.94  % (207253)Instructions burned: 692 (million)
% 16.00/5.94  % TRYING [4]
% 16.00/5.94  % (207259)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=917804326:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 16.00/5.94  % TRYING [20]
% 16.00/5.94  % (207255)Instruction limit reached! 
% 16.00/5.94  % (207255)------------------------------
% 16.00/5.94  % (207255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207255)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207255)Termination reason: Instruction limit
% 16.00/5.94  % (207255)Termination phase: Saturation
% 16.00/5.94  % (207255)Time elapsed: 0.466 s
% 16.00/5.94  % (207255)Peak memory usage: 20 MB
% 16.00/5.94  % (207255)Instructions burned: 879 (million)
% 16.00/5.94  % (207249)Instruction limit reached! 
% 16.00/5.94  % (207249)------------------------------
% 16.00/5.94  % (207249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207249)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207249)Termination reason: Instruction limit
% 16.00/5.94  % (207249)Termination phase: Saturation
% 16.00/5.94  % (207249)Time elapsed: 0.681 s
% 16.00/5.94  % (207249)Peak memory usage: 27 MB
% 16.00/5.94  % (207249)Instructions burned: 1180 (million)
% 16.00/5.94  % TRYING [5]
% 16.00/5.94  % (207261)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3779353224:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 16.00/5.94  % TRYING [8]
% 16.00/5.94  % (207262)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3232875633:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 16.00/5.94  % (207261)Instruction limit reached! 
% 16.00/5.94  % (207261)------------------------------
% 16.00/5.94  % (207261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207261)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207261)Termination reason: Instruction limit
% 16.00/5.94  % (207261)Termination phase: Finite model building constraint generation
% 16.00/5.94  % (207261)Time elapsed: 0.333 s
% 16.00/5.94  % (207261)Peak memory usage: 79 MB
% 16.00/5.94  % (207261)Instructions burned: 921 (million)
% 16.00/5.94  % (207265)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3670667194:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 16.00/5.94  % TRYING [6]
% 16.00/5.94  % TRYING [8]
% 16.00/5.94  % (207265)Instruction limit reached! 
% 16.00/5.94  % (207265)------------------------------
% 16.00/5.94  % (207265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207265)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207265)Termination reason: Instruction limit
% 16.00/5.94  % (207265)Termination phase: Saturation
% 16.00/5.94  % (207265)Time elapsed: 0.671 s
% 16.00/5.94  % (207265)Peak memory usage: 16 MB
% 16.00/5.94  % (207265)Instructions burned: 1473 (million)
% 16.00/5.94  % (207267)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=703348059:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 16.00/5.94  % TRYING [77]
% 16.00/5.94  % TRYING [7]
% 16.00/5.94  % (207262)Instruction limit reached! 
% 16.00/5.94  % (207262)------------------------------
% 16.00/5.94  % (207262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207262)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207262)Termination reason: Instruction limit
% 16.00/5.94  % (207262)Termination phase: Saturation
% 16.00/5.94  % (207262)Time elapsed: 2.626 s
% 16.00/5.94  % (207262)Peak memory usage: 54 MB
% 16.00/5.94  % (207262)Instructions burned: 5131 (million)
% 16.00/5.94  % (207269)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1593915298:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 16.00/5.94  % TRYING [16]
% 16.00/5.94  % TRYING [9]
% 16.00/5.94  % (207259)Instruction limit reached! 
% 16.00/5.94  % (207259)------------------------------
% 16.00/5.94  % (207259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207259)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207259)Termination reason: Instruction limit
% 16.00/5.94  % (207259)Termination phase: Finite model building constraint generation
% 16.00/5.94  % (207259)Time elapsed: 3.274 s
% 16.00/5.94  % (207259)Peak memory usage: 589 MB
% 16.00/5.94  % (207259)Instructions burned: 9517 (million)
% 16.00/5.94  % TRYING [8]
% 16.00/5.94  % (207272)ott-2_1_sil=16000:newcnf=on:random_seed=3103486884:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 16.00/5.94  % (207267)Instruction limit reached! 
% 16.00/5.94  % (207267)------------------------------
% 16.00/5.94  % (207267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207267)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207267)Termination reason: Instruction limit
% 16.00/5.94  % (207267)Termination phase: Finite model building constraint generation
% 16.00/5.94  % (207267)Time elapsed: 2.301 s
% 16.00/5.94  % (207267)Peak memory usage: 428 MB
% 16.00/5.94  % (207267)Instructions burned: 6325 (million)
% 16.00/5.94  % (207269)Instruction limit reached! 
% 16.00/5.94  % (207269)------------------------------
% 16.00/5.94  % (207269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207269)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207269)Termination reason: Instruction limit
% 16.00/5.94  % (207269)Termination phase: Finite model building constraint generation
% 16.00/5.94  % (207269)Time elapsed: 0.753 s
% 16.00/5.94  % (207269)Peak memory usage: 138 MB
% 16.00/5.94  % (207269)Instructions burned: 2174 (million)
% 16.00/5.94  % (207274)ott+10_1_sil=32000:tgt=ground:random_seed=1334948961:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 16.00/5.94  % (207275)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2241152804:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 16.00/5.94  % TRYING [1]
% 16.00/5.94  % TRYING [2]
% 16.00/5.94  % TRYING [3]
% 16.00/5.94  % TRYING [4]
% 16.00/5.94  % TRYING [5]
% 16.00/5.94  % (207272)Instruction limit reached! 
% 16.00/5.94  % (207272)------------------------------
% 16.00/5.94  % (207272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207272)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207272)Termination reason: Instruction limit
% 16.00/5.94  % (207272)Termination phase: Saturation
% 16.00/5.94  % (207272)Time elapsed: 0.455 s
% 16.00/5.94  % (207272)Peak memory usage: 23 MB
% 16.00/5.94  % (207272)Instructions burned: 869 (million)
% 16.00/5.94  % (207278)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3236011399:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 16.00/5.94  % TRYING [6]
% 16.00/5.94  % TRYING [7]
% 16.00/5.94  % (207274) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-207218-207274"...
% 16.00/5.94  % (207274)...printing done.
% 16.00/5.94  % (207274)Refutation found. Thanks to Tanya!
% 16.00/5.94  % SZS status Unsatisfiable for theBenchmark
% 16.00/5.94  % SZS output start Proof for theBenchmark
% See solution above
% 16.00/5.94  % (207274)------------------------------
% 16.00/5.94  % (207274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/5.94  % (207274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/5.94  % (207274)CaDiCaL version: 2.1.3
% 16.00/5.94  % (207274)Termination reason: Refutation
% 16.00/5.94  % (207274)Time elapsed: 0.918 s
% 16.00/5.94  % (207274)Peak memory usage: 31 MB
% 16.00/5.94  % (207274)Instructions burned: 1752 (million)
% 16.00/5.94  % (207218)Success in time 5.516 s
% 16.00/5.94  % Vampire exiting
%------------------------------------------------------------------------------