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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : PUZ142^1 : TPTP v9.2.1. Released v6.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Feb 25 09:28:36 AM UTC 2026

% Result   : Theorem 7.27s 2.46s
% Output   : Refutation 7.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  119 (  75 unt;   0 typ;   2 def)
%            Number of atoms       :  290 ( 171 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  879 (  78   ~;  61   |;   0   &; 724   @)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   39 (  36 usr;  34 con; 0-2 aty)
%            Number of variables   :  110 (   0   ^; 107   !;   3   ?; 110   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    direction: $tType ).

thf(type_def_6,type,
    position: $tType ).

thf(type_def_8,type,
    movelist: $tType ).

thf(func_def_0,type,
    position: $tType ).

thf(func_def_1,type,
    direction: $tType ).

thf(func_def_2,type,
    left: direction ).

thf(func_def_3,type,
    right: direction ).

thf(func_def_4,type,
    top: direction ).

thf(func_def_5,type,
    bottom: direction ).

thf(func_def_6,type,
    next: position > direction > position ).

thf(func_def_8,type,
    wall: position > $o ).

thf(func_def_9,type,
    movelist: $tType ).

thf(func_def_10,type,
    nomove: movelist ).

thf(func_def_11,type,
    movedir: movelist > direction > movelist ).

thf(func_def_12,type,
    playerpos: movelist > position ).

thf(func_def_13,type,
    c00: position ).

thf(func_def_14,type,
    c10: position ).

thf(func_def_15,type,
    c20: position ).

thf(func_def_16,type,
    c30: position ).

thf(func_def_17,type,
    c40: position ).

thf(func_def_18,type,
    c01: position ).

thf(func_def_19,type,
    c11: position ).

thf(func_def_20,type,
    c21: position ).

thf(func_def_21,type,
    c31: position ).

thf(func_def_22,type,
    c41: position ).

thf(func_def_23,type,
    c02: position ).

thf(func_def_24,type,
    c12: position ).

thf(func_def_25,type,
    c22: position ).

thf(func_def_26,type,
    c32: position ).

thf(func_def_27,type,
    c42: position ).

thf(func_def_28,type,
    c03: position ).

thf(func_def_29,type,
    c13: position ).

thf(func_def_30,type,
    c23: position ).

thf(func_def_31,type,
    c33: position ).

thf(func_def_32,type,
    c43: position ).

thf(func_def_33,type,
    c04: position ).

thf(func_def_34,type,
    c14: position ).

thf(func_def_35,type,
    c24: position ).

thf(func_def_36,type,
    c34: position ).

thf(func_def_37,type,
    c44: position ).

thf(f475,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[f398,f401,f474]) ).

thf(f474,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[status(thm)],[f473]) ).

thf(f473,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[status(thm)],[f472,f378]) ).

thf(f378,plain,
    ! [X0: movelist] :
      ( ( next @ ( playerpos @ nomove ) @ top )
     != ( playerpos @ X0 ) ),
    inference(forward_demodulation,[status(thm)],[f377,f159]) ).

thf(f159,plain,
    ( ( playerpos @ nomove )
    = ( next @ ( next @ c00 @ right ) @ top ) ),
    inference(definition_unfolding,[status(thm)],[f118,f141]) ).

thf(f141,plain,
    ( c11
    = ( next @ ( next @ c00 @ right ) @ top ) ),
    inference(definition_unfolding,[status(thm)],[f105,f124]) ).

thf(f124,plain,
    ( c10
    = ( next @ c00 @ right ) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

thf(f6,axiom,
    ( c10
    = ( next @ c00 @ right ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c10_defin) ).

thf(f105,plain,
    ( c11
    = ( next @ c10 @ top ) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

thf(f14,axiom,
    ( c11
    = ( next @ c10 @ top ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c11_defin) ).

thf(f118,plain,
    ( c11
    = ( playerpos @ nomove ) ),
    inference(cnf_transformation,[status(thm)],[f46]) ).

thf(f46,axiom,
    ( c11
    = ( playerpos @ nomove ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',start_axiom) ).

thf(f377,plain,
    ! [X0: movelist] :
      ( ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top )
     != ( playerpos @ X0 ) ),
    inference(forward_demodulation,[status(thm)],[f376,f110]) ).

thf(f110,plain,
    ! [X0: position] :
      ( ( next @ ( next @ X0 @ left ) @ right )
      = X0 ),
    inference(cnf_transformation,[status(thm)],[f77]) ).

thf(f77,plain,
    ! [X0: position] :
      ( ( next @ ( next @ X0 @ left ) @ right )
      = X0 ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,axiom,
    ! [X2: position] :
      ( ( next @ ( next @ X2 @ left ) @ right )
      = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',left_right) ).

thf(f376,plain,
    ! [X0: movelist] :
      ( ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ left ) @ right ) @ top ) @ top )
     != ( playerpos @ X0 ) ),
    inference(forward_demodulation,[status(thm)],[f375,f128]) ).

thf(f128,plain,
    ! [X2: direction,X0: position,X1: direction] :
      ( ( next @ ( next @ X0 @ X1 ) @ X2 )
      = ( next @ ( next @ X0 @ X2 ) @ X1 ) ),
    inference(cnf_transformation,[status(thm)],[f78]) ).

thf(f78,plain,
    ! [X0: position,X1: direction,X2: direction] :
      ( ( next @ ( next @ X0 @ X1 ) @ X2 )
      = ( next @ ( next @ X0 @ X2 ) @ X1 ) ),
    inference(rectify,[status(thm)],[f1]) ).

thf(f1,axiom,
    ! [X2: position,X1: direction,X0: direction] :
      ( ( next @ ( next @ X2 @ X0 ) @ X1 )
      = ( next @ ( next @ X2 @ X1 ) @ X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',next_comm) ).

thf(f375,plain,
    ! [X0: movelist] :
      ( ( playerpos @ X0 )
     != ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ left ) @ top ) @ top ) ),
    inference(forward_demodulation,[status(thm)],[f372,f128]) ).

thf(f372,plain,
    ! [X0: movelist] :
      ( ( playerpos @ X0 )
     != ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ left ) @ top ) ),
    inference(superposition,[status(thm)],[f367,f128]) ).

thf(f367,plain,
    ! [X0: movelist] :
      ( ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ left )
     != ( playerpos @ X0 ) ),
    inference(trivial_inequality_removal,[status(thm)],[f366]) ).

thf(f366,plain,
    ! [X0: movelist] :
      ( ( $false = $true )
      | ( ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ left )
       != ( playerpos @ X0 ) ) ),
    inference(forward_demodulation,[status(thm)],[f365,f152]) ).

thf(f152,plain,
    ( $false
    = ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) ) ),
    inference(definition_unfolding,[status(thm)],[f92,f146]) ).

thf(f146,plain,
    ( c22
    = ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) ),
    inference(definition_unfolding,[status(thm)],[f116,f145]) ).

thf(f145,plain,
    ( c21
    = ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) ),
    inference(definition_unfolding,[status(thm)],[f91,f133]) ).

thf(f133,plain,
    ( c20
    = ( next @ ( next @ c00 @ right ) @ right ) ),
    inference(definition_unfolding,[status(thm)],[f127,f124]) ).

thf(f127,plain,
    ( c20
    = ( next @ c10 @ right ) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

thf(f7,axiom,
    ( c20
    = ( next @ c10 @ right ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c20_defin) ).

thf(f91,plain,
    ( c21
    = ( next @ c20 @ top ) ),
    inference(cnf_transformation,[status(thm)],[f18]) ).

thf(f18,axiom,
    ( c21
    = ( next @ c20 @ top ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c21_defin) ).

thf(f116,plain,
    ( c22
    = ( next @ c21 @ top ) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

thf(f19,axiom,
    ( c22
    = ( next @ c21 @ top ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c22_defin) ).

thf(f92,plain,
    ( ( wall @ c22 )
    = $false ),
    inference(cnf_transformation,[status(thm)],[f64]) ).

thf(f64,plain,
    ( ( wall @ c22 )
    = $false ),
    inference(fool_elimination,[status(thm)],[f38]) ).

thf(f38,axiom,
    ( $false
    = ( wall @ c22 ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c22_axiom) ).

thf(f365,plain,
    ! [X0: movelist] :
      ( ( $true
        = ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) ) )
      | ( ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) @ left )
       != ( playerpos @ X0 ) ) ),
    inference(equality_resolution,[status(thm)],[f356]) ).

thf(f356,plain,
    ! [X0: position,X1: movelist] :
      ( ( ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top )
       != X0 )
      | ( ( playerpos @ X1 )
       != ( next @ X0 @ left ) )
      | ( $true
        = ( wall @ X0 ) ) ),
    inference(superposition,[status(thm)],[f336,f110]) ).

thf(f336,plain,
    ! [X2: position,X0: movelist,X1: direction] :
      ( ( ( next @ X2 @ X1 )
       != ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) )
      | ( ( playerpos @ X0 )
       != X2 )
      | ( $true
        = ( wall @ ( next @ X2 @ X1 ) ) ) ),
    inference(superposition,[status(thm)],[f332,f89]) ).

thf(f89,plain,
    ! [X2: position,X0: direction,X1: movelist] :
      ( ( ( next @ X2 @ X0 )
        = ( playerpos @ ( movedir @ X1 @ X0 ) ) )
      | ( ( wall @ ( next @ X2 @ X0 ) )
        = $true )
      | ( ( playerpos @ X1 )
       != X2 ) ),
    inference(cnf_transformation,[status(thm)],[f84]) ).

thf(f84,plain,
    ! [X0: direction,X1: movelist,X2: position] :
      ( ( ( playerpos @ X1 )
       != X2 )
      | ( ( next @ X2 @ X0 )
        = ( playerpos @ ( movedir @ X1 @ X0 ) ) )
      | ( ( wall @ ( next @ X2 @ X0 ) )
        = $true ) ),
    inference(rectify,[status(thm)],[f80]) ).

thf(f80,plain,
    ! [X2: direction,X1: movelist,X0: position] :
      ( ( ( playerpos @ X1 )
       != X0 )
      | ( ( playerpos @ ( movedir @ X1 @ X2 ) )
        = ( next @ X0 @ X2 ) )
      | ( ( wall @ ( next @ X0 @ X2 ) )
        = $true ) ),
    inference(flattening,[status(thm)],[f79]) ).

thf(f79,plain,
    ! [X1: movelist,X0: position,X2: direction] :
      ( ( ( playerpos @ ( movedir @ X1 @ X2 ) )
        = ( next @ X0 @ X2 ) )
      | ( ( wall @ ( next @ X0 @ X2 ) )
        = $true )
      | ( ( playerpos @ X1 )
       != X0 ) ),
    inference(ennf_transformation,[status(thm)],[f74]) ).

thf(f74,plain,
    ! [X1: movelist,X0: position,X2: direction] :
      ( ( ( playerpos @ X1 )
        = X0 )
     => ( ( ( wall @ ( next @ X0 @ X2 ) )
         != $true )
       => ( ( playerpos @ ( movedir @ X1 @ X2 ) )
          = ( next @ X0 @ X2 ) ) ) ),
    inference(flattening,[status(thm)],[f51]) ).

thf(f51,plain,
    ! [X0: position,X1: movelist,X2: direction] :
      ( ( ( playerpos @ X1 )
        = X0 )
     => ( ( ( wall @ ( next @ X0 @ X2 ) )
         != $true )
       => ( ( playerpos @ ( movedir @ X1 @ X2 ) )
          = ( next @ X0 @ X2 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f50]) ).

thf(f50,plain,
    ! [X0: position,X1: movelist,X2: direction] :
      ( ( ( playerpos @ X1 )
        = X0 )
     => ( ~ ( wall @ ( next @ X0 @ X2 ) )
       => ( ( playerpos @ ( movedir @ X1 @ X2 ) )
          = ( next @ X0 @ X2 ) ) ) ),
    inference(rectify,[status(thm)],[f4]) ).

thf(f4,axiom,
    ! [X3: position,X4: movelist,X5: direction] :
      ( ( ( playerpos @ X4 )
        = X3 )
     => ( ~ ( wall @ ( next @ X3 @ X5 ) )
       => ( ( next @ X3 @ X5 )
          = ( playerpos @ ( movedir @ X4 @ X5 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',player_move_legal) ).

thf(f332,plain,
    ! [X0: movelist] :
      ( ( playerpos @ X0 )
     != ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ top ) @ top ) ),
    inference(forward_demodulation,[status(thm)],[f331,f110]) ).

thf(f331,plain,
    ! [X0: movelist] :
      ( ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ left ) @ right ) @ top ) @ top )
     != ( playerpos @ X0 ) ),
    inference(forward_demodulation,[status(thm)],[f330,f128]) ).

thf(f330,plain,
    ! [X0: movelist] :
      ( ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ left ) @ top ) @ top )
     != ( playerpos @ X0 ) ),
    inference(forward_demodulation,[status(thm)],[f328,f128]) ).

thf(f328,plain,
    ! [X0: movelist] :
      ( ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ left ) @ top )
     != ( playerpos @ X0 ) ),
    inference(superposition,[status(thm)],[f321,f128]) ).

thf(f321,plain,
    ! [X0: movelist] :
      ( ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ left )
     != ( playerpos @ X0 ) ),
    inference(trivial_inequality_removal,[status(thm)],[f320]) ).

thf(f320,plain,
    ! [X0: movelist] :
      ( ( ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ left )
       != ( playerpos @ X0 ) )
      | ( $false = $true ) ),
    inference(forward_demodulation,[status(thm)],[f319,f156]) ).

thf(f156,plain,
    ( $false
    = ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) ) ),
    inference(definition_unfolding,[status(thm)],[f107,f136]) ).

thf(f136,plain,
    ( c32
    = ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) ),
    inference(definition_unfolding,[status(thm)],[f113,f135]) ).

thf(f135,plain,
    ( c31
    = ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ),
    inference(definition_unfolding,[status(thm)],[f96,f134]) ).

thf(f134,plain,
    ( c30
    = ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) ),
    inference(definition_unfolding,[status(thm)],[f117,f133]) ).

thf(f117,plain,
    ( c30
    = ( next @ c20 @ right ) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

thf(f8,axiom,
    ( c30
    = ( next @ c20 @ right ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c30_defin) ).

thf(f96,plain,
    ( c31
    = ( next @ c30 @ top ) ),
    inference(cnf_transformation,[status(thm)],[f22]) ).

thf(f22,axiom,
    ( c31
    = ( next @ c30 @ top ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c31_defin) ).

thf(f113,plain,
    ( c32
    = ( next @ c31 @ top ) ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

thf(f23,axiom,
    ( c32
    = ( next @ c31 @ top ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c32_defin) ).

thf(f107,plain,
    ( ( wall @ c32 )
    = $false ),
    inference(cnf_transformation,[status(thm)],[f53]) ).

thf(f53,plain,
    ( ( wall @ c32 )
    = $false ),
    inference(fool_elimination,[status(thm)],[f39]) ).

thf(f39,axiom,
    ( $false
    = ( wall @ c32 ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c32_axiom) ).

thf(f319,plain,
    ! [X0: movelist] :
      ( ( ( wall @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
        = $true )
      | ( ( next @ ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) @ left )
       != ( playerpos @ X0 ) ) ),
    inference(equality_resolution,[status(thm)],[f308]) ).

thf(f308,plain,
    ! [X0: position,X1: movelist] :
      ( ( ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top )
       != X0 )
      | ( $true
        = ( wall @ X0 ) )
      | ( ( playerpos @ X1 )
       != ( next @ X0 @ left ) ) ),
    inference(superposition,[status(thm)],[f224,f110]) ).

thf(f224,plain,
    ! [X2: position,X0: movelist,X1: direction] :
      ( ( ( next @ X2 @ X1 )
       != ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top ) )
      | ( $true
        = ( wall @ ( next @ X2 @ X1 ) ) )
      | ( ( playerpos @ X0 )
       != X2 ) ),
    inference(superposition,[status(thm)],[f219,f89]) ).

thf(f219,plain,
    ! [X0: movelist] :
      ( ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top )
     != ( playerpos @ X0 ) ),
    inference(trivial_inequality_removal,[status(thm)],[f218]) ).

thf(f218,plain,
    ! [X0: movelist] :
      ( ( $false = $true )
      | ( ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top )
       != ( playerpos @ X0 ) ) ),
    inference(forward_demodulation,[status(thm)],[f217,f168]) ).

thf(f168,plain,
    ( $false
    = ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ) ),
    inference(definition_unfolding,[status(thm)],[f131,f135]) ).

thf(f131,plain,
    ( ( wall @ c31 )
    = $false ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

thf(f73,plain,
    ( ( wall @ c31 )
    = $false ),
    inference(fool_elimination,[status(thm)],[f34]) ).

thf(f34,axiom,
    ( ( wall @ c31 )
    = $false ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c31_axiom) ).

thf(f217,plain,
    ! [X0: movelist] :
      ( ( ( next @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) @ top )
       != ( playerpos @ X0 ) )
      | ( $true
        = ( wall @ ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) ) ) ),
    inference(equality_resolution,[status(thm)],[f179]) ).

thf(f179,plain,
    ! [X0: position,X1: movelist] :
      ( ( ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top )
       != X0 )
      | ( $true
        = ( wall @ X0 ) )
      | ( ( playerpos @ X1 )
       != ( next @ X0 @ top ) ) ),
    inference(superposition,[status(thm)],[f172,f108]) ).

thf(f108,plain,
    ! [X0: position] :
      ( ( next @ ( next @ X0 @ top ) @ bottom )
      = X0 ),
    inference(cnf_transformation,[status(thm)],[f76]) ).

thf(f76,plain,
    ! [X0: position] :
      ( ( next @ ( next @ X0 @ top ) @ bottom )
      = X0 ),
    inference(rectify,[status(thm)],[f3]) ).

thf(f3,axiom,
    ! [X2: position] :
      ( ( next @ ( next @ X2 @ top ) @ bottom )
      = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',top_bottom) ).

thf(f172,plain,
    ! [X2: position,X0: movelist,X1: direction] :
      ( ( ( next @ X2 @ X1 )
       != ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top ) )
      | ( ( playerpos @ X0 )
       != X2 )
      | ( $true
        = ( wall @ ( next @ X2 @ X1 ) ) ) ),
    inference(superposition,[status(thm)],[f157,f89]) ).

thf(f157,plain,
    ! [X0: movelist] :
      ( ( next @ ( next @ ( next @ ( next @ c00 @ right ) @ right ) @ right ) @ top )
     != ( playerpos @ X0 ) ),
    inference(definition_unfolding,[status(thm)],[f109,f135]) ).

thf(f109,plain,
    ! [X0: movelist] :
      ( c31
     != ( playerpos @ X0 ) ),
    inference(cnf_transformation,[status(thm)],[f81]) ).

thf(f81,plain,
    ! [X0: movelist] :
      ( c31
     != ( playerpos @ X0 ) ),
    inference(ennf_transformation,[status(thm)],[f75]) ).

thf(f75,plain,
    ~ ? [X0: movelist] :
        ( c31
        = ( playerpos @ X0 ) ),
    inference(rectify,[status(thm)],[f48]) ).

thf(f48,negated_conjecture,
    ~ ? [X4: movelist] :
        ( ( playerpos @ X4 )
        = c31 ),
    inference(negated_conjecture,[status(cth)],[f47]) ).

thf(f47,conjecture,
    ? [X4: movelist] :
      ( ( playerpos @ X4 )
      = c31 ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',exercise) ).

thf(f472,plain,
    ( ( ( playerpos @ nomove )
      = ( next @ ( playerpos @ nomove ) @ top ) )
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f471,f159]) ).

thf(f471,plain,
    ( ( ( playerpos @ nomove )
      = ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[status(thm)],[f457,f159]) ).

thf(f457,plain,
    ( ( ( playerpos @ nomove )
     != ( next @ ( next @ c00 @ right ) @ top ) )
    | ( ( playerpos @ nomove )
      = ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[status(thm)],[f452]) ).

thf(f452,plain,
    ( ( ( playerpos @ nomove )
      = ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
    | ( ( playerpos @ nomove )
     != ( next @ ( next @ c00 @ right ) @ top ) )
    | ( $false = $true )
    | ~ spl0_1 ),
    inference(superposition,[status(thm)],[f154,f439]) ).

thf(f439,plain,
    ( ! [X0: position] :
        ( ( $true
          = ( wall @ ( next @ X0 @ top ) ) )
        | ( ( playerpos @ nomove )
         != X0 )
        | ( ( playerpos @ nomove )
          = ( next @ X0 @ top ) ) )
    | ~ spl0_1 ),
    inference(equality_resolution,[status(thm)],[f412]) ).

thf(f412,plain,
    ( ! [X0: movelist,X1: position] :
        ( ( ( playerpos @ nomove )
         != ( playerpos @ X0 ) )
        | ( $true
          = ( wall @ ( next @ X1 @ top ) ) )
        | ( ( playerpos @ X0 )
         != X1 )
        | ( ( playerpos @ nomove )
          = ( next @ X1 @ top ) ) )
    | ~ spl0_1 ),
    inference(superposition,[status(thm)],[f411,f89]) ).

thf(f411,plain,
    ( ! [X0: movelist] :
        ( ( ( playerpos @ nomove )
          = ( playerpos @ ( movedir @ X0 @ top ) ) )
        | ( ( playerpos @ nomove )
         != ( playerpos @ X0 ) ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[status(thm)],[f410]) ).

thf(f410,plain,
    ( ! [X0: movelist] :
        ( ( $true != $true )
        | ( ( playerpos @ nomove )
         != ( playerpos @ X0 ) )
        | ( ( playerpos @ nomove )
          = ( playerpos @ ( movedir @ X0 @ top ) ) ) )
    | ~ spl0_1 ),
    inference(superposition,[status(thm)],[f100,f394]) ).

thf(f394,plain,
    ( ( ( wall @ ( next @ ( playerpos @ nomove ) @ top ) )
      = $true )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[status(thm)],[f392]) ).

thf(f392,definition,
    ( spl0_1
  <=> ( ( wall @ ( next @ ( playerpos @ nomove ) @ top ) )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).

thf(f100,plain,
    ! [X2: direction,X0: position,X1: movelist] :
      ( ( ( wall @ ( next @ X0 @ X2 ) )
       != $true )
      | ( ( playerpos @ X1 )
       != X0 )
      | ( ( playerpos @ ( movedir @ X1 @ X2 ) )
        = X0 ) ),
    inference(cnf_transformation,[status(thm)],[f85]) ).

thf(f85,plain,
    ! [X0: position,X1: movelist,X2: direction] :
      ( ( ( wall @ ( next @ X0 @ X2 ) )
       != $true )
      | ( ( playerpos @ X1 )
       != X0 )
      | ( ( playerpos @ ( movedir @ X1 @ X2 ) )
        = X0 ) ),
    inference(rectify,[status(thm)],[f83]) ).

thf(f83,plain,
    ! [X1: position,X0: movelist,X2: direction] :
      ( ( ( wall @ ( next @ X1 @ X2 ) )
       != $true )
      | ( ( playerpos @ X0 )
       != X1 )
      | ( ( playerpos @ ( movedir @ X0 @ X2 ) )
        = X1 ) ),
    inference(flattening,[status(thm)],[f82]) ).

thf(f82,plain,
    ! [X2: direction,X0: movelist,X1: position] :
      ( ( ( playerpos @ ( movedir @ X0 @ X2 ) )
        = X1 )
      | ( ( wall @ ( next @ X1 @ X2 ) )
       != $true )
      | ( ( playerpos @ X0 )
       != X1 ) ),
    inference(ennf_transformation,[status(thm)],[f66]) ).

thf(f66,plain,
    ! [X2: direction,X0: movelist,X1: position] :
      ( ( ( playerpos @ X0 )
        = X1 )
     => ( ( ( wall @ ( next @ X1 @ X2 ) )
          = $true )
       => ( ( playerpos @ ( movedir @ X0 @ X2 ) )
          = X1 ) ) ),
    inference(fool_elimination,[status(thm)],[f65]) ).

thf(f65,plain,
    ! [X0: movelist,X1: position,X2: direction] :
      ( ( ( playerpos @ X0 )
        = X1 )
     => ( ( wall @ ( next @ X1 @ X2 ) )
       => ( ( playerpos @ ( movedir @ X0 @ X2 ) )
          = X1 ) ) ),
    inference(rectify,[status(thm)],[f5]) ).

thf(f5,axiom,
    ! [X4: movelist,X3: position,X5: direction] :
      ( ( ( playerpos @ X4 )
        = X3 )
     => ( ( wall @ ( next @ X3 @ X5 ) )
       => ( ( playerpos @ ( movedir @ X4 @ X5 ) )
          = X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',player_move_illegal) ).

thf(f154,plain,
    ( ( wall @ ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) )
    = $false ),
    inference(definition_unfolding,[status(thm)],[f103,f142]) ).

thf(f142,plain,
    ( c12
    = ( next @ ( next @ ( next @ c00 @ right ) @ top ) @ top ) ),
    inference(definition_unfolding,[status(thm)],[f126,f141]) ).

thf(f126,plain,
    ( c12
    = ( next @ c11 @ top ) ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

thf(f15,axiom,
    ( c12
    = ( next @ c11 @ top ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c12_defin) ).

thf(f103,plain,
    ( ( wall @ c12 )
    = $false ),
    inference(cnf_transformation,[status(thm)],[f70]) ).

thf(f70,plain,
    ( ( wall @ c12 )
    = $false ),
    inference(fool_elimination,[status(thm)],[f37]) ).

thf(f37,axiom,
    ( $false
    = ( wall @ c12 ) ),
    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c12_axiom) ).

thf(f401,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[status(thm)],[f400]) ).

thf(f400,plain,
    ( $false
    | ~ spl0_2 ),
    inference(equality_resolution,[status(thm)],[f397]) ).

thf(f397,plain,
    ( ! [X0: movelist] :
        ( ( playerpos @ nomove )
       != ( playerpos @ X0 ) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[status(thm)],[f396]) ).

thf(f396,definition,
    ( spl0_2
  <=> ! [X0: movelist] :
        ( ( playerpos @ nomove )
       != ( playerpos @ X0 ) ) ),
    introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).

thf(f398,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[status(thm)],[f390,f396,f392]) ).

thf(f390,plain,
    ! [X0: movelist] :
      ( ( ( wall @ ( next @ ( playerpos @ nomove ) @ top ) )
        = $true )
      | ( ( playerpos @ nomove )
       != ( playerpos @ X0 ) ) ),
    inference(equality_resolution,[status(thm)],[f383]) ).

thf(f383,plain,
    ! [X2: position,X0: movelist,X1: direction] :
      ( ( ( next @ X2 @ X1 )
       != ( next @ ( playerpos @ nomove ) @ top ) )
      | ( ( playerpos @ X0 )
       != X2 )
      | ( $true
        = ( wall @ ( next @ X2 @ X1 ) ) ) ),
    inference(superposition,[status(thm)],[f378,f89]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ142^1 : TPTP v9.2.1. Released v6.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34  % Computer : n022.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Feb 24 11:34:21 EST 2026
% 0.17/0.35  % CPUTime  : 
% 0.19/0.36  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.27/0.48  ---- Original DTF file ---
% 0.27/0.48  thf(spec,logic,$$dhol).
% 0.27/0.48  %------------------------------------------------------------------------------
% 0.27/0.48  % File     : PUZ142^1 : TPTP v9.2.1. Released v6.2.0.
% 0.27/0.48  % Domain   : Puzzles
% 0.27/0.48  % Problem  : Labyrinth2
% 0.27/0.48  % Version  : Especial.
% 0.27/0.48  % English  : Go around a corner.
% 0.27/0.48  
% 0.27/0.48  % Refs     : [Cam14] Camarero (2014), Email to Geoff Sutcliffe
% 0.27/0.48  % Source   : [Cam14]
% 0.27/0.48  % Names    : labyrinth2 [Cam14]
% 0.27/0.48  
% 0.27/0.48  % Status   : Theorem
% 0.27/0.48  % Rating   : 0.56 v9.1.0, 0.50 v8.2.0, 0.38 v8.1.0, 0.36 v7.5.0, 0.57 v7.4.0, 0.67 v7.2.0, 0.62 v7.1.0, 0.75 v7.0.0, 0.71 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0
% 0.27/0.48  % Syntax   : Number of formulae    :   84 (  45 unt;  37 typ;  20 def)
% 0.27/0.48  %            Number of atoms       :   91 (  49 equ;   0 cnn)
% 0.27/0.48  %            Maximal formula atoms :    3 (   1 avg)
% 0.27/0.48  %            Number of connectives :   99 (   1   ~;   0   |;   0   &;  94   @)
% 0.27/0.48  %                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
% 0.27/0.48  %            Maximal formula depth :   10 (   1 avg)
% 0.27/0.48  %            Number of types       :    4 (   3 usr)
% 0.27/0.48  %            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
% 0.27/0.48  %            Number of symbols     :   37 (  34 usr;  32 con; 0-2 aty)
% 0.27/0.48  %            Number of variables   :   12 (   0   ^;  11   !;   1   ?;  12   :)
% 0.27/0.48  % SPC      : TH0_THM_EQU_NAR
% 0.27/0.48  
% 0.27/0.48  % Comments :
% 0.27/0.48  %------------------------------------------------------------------------------
% 0.27/0.48  thf(position_type,type,
% 0.27/0.48      position: $tType ).
% 0.27/0.48  
% 0.27/0.48  thf(direction_type,type,
% 0.27/0.48      direction: $tType ).
% 0.27/0.48  
% 0.27/0.48  thf(left_type,type,
% 0.27/0.48      left: direction ).
% 0.27/0.48  
% 0.27/0.48  thf(right_type,type,
% 0.27/0.48      right: direction ).
% 0.27/0.48  
% 0.27/0.48  thf(top_type,type,
% 0.27/0.48      top: direction ).
% 0.27/0.48  
% 0.27/0.48  thf(bottom_type,type,
% 0.27/0.48      bottom: direction ).
% 0.27/0.48  
% 0.27/0.48  thf(next_type,type,
% 0.27/0.48      next: position > direction > position ).
% 0.27/0.48  
% 0.27/0.48  thf(next_comm,axiom,
% 0.27/0.48      ! [D1: direction,D2: direction,P: position] :
% 0.27/0.48        ( ( next @ ( next @ P @ D1 ) @ D2 )
% 0.27/0.48        = ( next @ ( next @ P @ D2 ) @ D1 ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(left_right,axiom,
% 0.27/0.48      ! [P: position] :
% 0.27/0.48        ( ( next @ ( next @ P @ left ) @ right )
% 0.27/0.48        = P ) ).
% 0.27/0.48  
% 0.27/0.48  thf(top_bottom,axiom,
% 0.27/0.48      ! [P: position] :
% 0.27/0.48        ( ( next @ ( next @ P @ top ) @ bottom )
% 0.27/0.48        = P ) ).
% 0.27/0.48  
% 0.27/0.48  thf(wall_type,type,
% 0.27/0.48      wall: position > $o ).
% 0.27/0.48  
% 0.27/0.48  %----Inductive MoveList. For the moment we do not include the inductive axioms.
% 0.27/0.48  thf(movelist_type,type,
% 0.27/0.48      movelist: $tType ).
% 0.27/0.48  
% 0.27/0.48  thf(nomove_type,type,
% 0.27/0.48      nomove: movelist ).
% 0.27/0.48  
% 0.27/0.48  thf(movedir_type,type,
% 0.27/0.48      movedir: movelist > direction > movelist ).
% 0.27/0.48  
% 0.27/0.48  %----The position of the player after a list of movements
% 0.27/0.48  thf(playerpos_type,type,
% 0.27/0.48      playerpos: movelist > position ).
% 0.27/0.48  
% 0.27/0.48  thf(player_move_legal,axiom,
% 0.27/0.48      ! [PO: position,M: movelist,D: direction] :
% 0.27/0.48        ( ( ( playerpos @ M )
% 0.27/0.48          = PO )
% 0.27/0.48       => ( ~ ( wall @ ( next @ PO @ D ) )
% 0.27/0.48         => ( ( playerpos @ ( movedir @ M @ D ) )
% 0.27/0.48            = ( next @ PO @ D ) ) ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(player_move_illegal,axiom,
% 0.27/0.48      ! [PO: position,M: movelist,D: direction] :
% 0.27/0.48        ( ( ( playerpos @ M )
% 0.27/0.48          = PO )
% 0.27/0.48       => ( ( wall @ ( next @ PO @ D ) )
% 0.27/0.48         => ( ( playerpos @ ( movedir @ M @ D ) )
% 0.27/0.48            = PO ) ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c00_type,type,
% 0.27/0.48      c00: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c10_type,type,
% 0.27/0.48      c10: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c20_type,type,
% 0.27/0.48      c20: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c30_type,type,
% 0.27/0.48      c30: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c40_type,type,
% 0.27/0.48      c40: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c01_type,type,
% 0.27/0.48      c01: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c11_type,type,
% 0.27/0.48      c11: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c21_type,type,
% 0.27/0.48      c21: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c31_type,type,
% 0.27/0.48      c31: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c41_type,type,
% 0.27/0.48      c41: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c02_type,type,
% 0.27/0.48      c02: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c12_type,type,
% 0.27/0.48      c12: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c22_type,type,
% 0.27/0.48      c22: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c32_type,type,
% 0.27/0.48      c32: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c42_type,type,
% 0.27/0.48      c42: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c03_type,type,
% 0.27/0.48      c03: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c13_type,type,
% 0.27/0.48      c13: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c23_type,type,
% 0.27/0.48      c23: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c33_type,type,
% 0.27/0.48      c33: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c43_type,type,
% 0.27/0.48      c43: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c04_type,type,
% 0.27/0.48      c04: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c14_type,type,
% 0.27/0.48      c14: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c24_type,type,
% 0.27/0.48      c24: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c34_type,type,
% 0.27/0.48      c34: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c44_type,type,
% 0.27/0.48      c44: position ).
% 0.27/0.48  
% 0.27/0.48  thf(c10_defin,definition,
% 0.27/0.48      ( c10
% 0.27/0.48      = ( next @ c00 @ right ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c20_defin,definition,
% 0.27/0.48      ( c20
% 0.27/0.48      = ( next @ c10 @ right ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c30_defin,definition,
% 0.27/0.48      ( c30
% 0.27/0.48      = ( next @ c20 @ right ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c40_defin,definition,
% 0.27/0.48      ( c40
% 0.27/0.48      = ( next @ c30 @ right ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c01_defin,definition,
% 0.27/0.48      ( c01
% 0.27/0.48      = ( next @ c00 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c02_defin,definition,
% 0.27/0.48      ( c02
% 0.27/0.48      = ( next @ c01 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c03_defin,definition,
% 0.27/0.48      ( c03
% 0.27/0.48      = ( next @ c02 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c04_defin,definition,
% 0.27/0.48      ( c04
% 0.27/0.48      = ( next @ c03 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c11_defin,definition,
% 0.27/0.48      ( c11
% 0.27/0.48      = ( next @ c10 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c12_defin,definition,
% 0.27/0.48      ( c12
% 0.27/0.48      = ( next @ c11 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c13_defin,definition,
% 0.27/0.48      ( c13
% 0.27/0.48      = ( next @ c12 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c14_defin,definition,
% 0.27/0.48      ( c14
% 0.27/0.48      = ( next @ c13 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c21_defin,definition,
% 0.27/0.48      ( c21
% 0.27/0.48      = ( next @ c20 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c22_defin,definition,
% 0.27/0.48      ( c22
% 0.27/0.48      = ( next @ c21 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c23_defin,definition,
% 0.27/0.48      ( c23
% 0.27/0.48      = ( next @ c22 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c24_defin,definition,
% 0.27/0.48      ( c24
% 0.27/0.48      = ( next @ c23 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c31_defin,definition,
% 0.27/0.48      ( c31
% 0.27/0.48      = ( next @ c30 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c32_defin,definition,
% 0.27/0.48      ( c32
% 0.27/0.48      = ( next @ c31 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c33_defin,definition,
% 0.27/0.48      ( c33
% 0.27/0.48      = ( next @ c32 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c34_defin,definition,
% 0.27/0.48      ( c34
% 0.27/0.48      = ( next @ c33 @ top ) ) ).
% 0.27/0.48  
% 0.27/0.48  %----Exercise 2
% 0.27/0.48  %----Go from * to +
% 0.27/0.48  %----#####
% 0.27/0.48  %----#   #
% 0.27/0.48  %----#*#+#
% 0.27/0.48  %----#####
% 0.27/0.48  thf(c00_axiom,axiom,
% 0.27/0.48      ( ( wall @ c00 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c10_axiom,axiom,
% 0.27/0.48      ( ( wall @ c10 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c20_axiom,axiom,
% 0.27/0.48      ( ( wall @ c20 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c30_axiom,axiom,
% 0.27/0.48      ( ( wall @ c30 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c40_axiom,axiom,
% 0.27/0.48      ( ( wall @ c40 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c01_axiom,axiom,
% 0.27/0.48      ( ( wall @ c01 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c11_axiom,axiom,
% 0.27/0.48      ( ( wall @ c11 )
% 0.27/0.48      = $false ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c21_axiom,axiom,
% 0.27/0.48      ( ( wall @ c21 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c31_axiom,axiom,
% 0.27/0.48      ( ( wall @ c31 )
% 0.27/0.48      = $false ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c41_axiom,axiom,
% 0.27/0.48      ( ( wall @ c41 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c02_axiom,axiom,
% 0.27/0.48      ( ( wall @ c02 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c12_axiom,axiom,
% 0.27/0.48      ( ( wall @ c12 )
% 0.27/0.48      = $false ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c22_axiom,axiom,
% 0.27/0.48      ( ( wall @ c22 )
% 0.27/0.48      = $false ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c32_axiom,axiom,
% 0.27/0.48      ( ( wall @ c32 )
% 0.27/0.48      = $false ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c42_axiom,axiom,
% 0.27/0.48      ( ( wall @ c42 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c03_axiom,axiom,
% 0.27/0.48      ( ( wall @ c03 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c13_axiom,axiom,
% 0.27/0.48      ( ( wall @ c13 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c23_axiom,axiom,
% 0.27/0.48      ( ( wall @ c23 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c33_axiom,axiom,
% 0.27/0.48      ( ( wall @ c33 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(c43_axiom,axiom,
% 0.27/0.48      ( ( wall @ c43 )
% 0.27/0.48      = $true ) ).
% 0.27/0.48  
% 0.27/0.48  thf(start_axiom,axiom,
% 0.27/0.48      ( ( playerpos @ nomove )
% 0.27/0.48      = c11 ) ).
% 0.27/0.48  
% 0.27/0.48  thf(exercise,conjecture,
% 0.27/0.48      ? [M: movelist] :
% 0.27/0.48        ( ( playerpos @ M )
% 0.27/0.48        = c31 ) ).
% 0.27/0.48  
% 0.27/0.48  %------------------------------------------------------------------------------
% 0.27/0.48  ------------------------
% 1.71/1.49  ---- Embedded in THF ---
% 1.71/1.49  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.71/1.49  %%% Generated on Tue Feb 24 11:34:22 EST 2026
% 1.71/1.49  %%% using '$$dhol' embedding, version 1.3.0.
% 1.71/1.49  %%% Logic specification used:
% 1.71/1.49  %%% thf(spec, logic, $$dhol).
% 1.71/1.49  
% 1.71/1.49  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2DTF12374.p
% See solution above
% 1.71/1.49  ------------------------
% 1.87/1.50  ---- Cleaned THF ---
% 1.87/1.50  thf(position_type,type,
% 1.87/1.50      position: $tType ).
% 1.87/1.50  
% 1.87/1.50  thf(direction_type,type,
% 1.87/1.50      direction: $tType ).
% 1.87/1.50  
% 1.87/1.50  thf(left_type,type,
% 1.87/1.50      left: direction ).
% 1.87/1.50  
% 1.87/1.50  thf(right_type,type,
% 1.87/1.50      right: direction ).
% 1.87/1.50  
% 1.87/1.50  thf(top_type,type,
% 1.87/1.50      top: direction ).
% 1.87/1.50  
% 1.87/1.50  thf(bottom_type,type,
% 1.87/1.50      bottom: direction ).
% 1.87/1.50  
% 1.87/1.50  thf(next_type,type,
% 1.87/1.50      next: position > direction > position ).
% 1.87/1.50  
% 1.87/1.50  thf(next_comm,axiom,
% 1.87/1.50      ! [D1: direction,D2: direction,P: position] :
% 1.87/1.50        ( ( next @ ( next @ P @ D1 ) @ D2 )
% 1.87/1.50        = ( next @ ( next @ P @ D2 ) @ D1 ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(left_right,axiom,
% 1.87/1.50      ! [P: position] :
% 1.87/1.50        ( ( next @ ( next @ P @ left ) @ right )
% 1.87/1.50        = P ) ).
% 1.87/1.50  
% 1.87/1.50  thf(top_bottom,axiom,
% 1.87/1.50      ! [P: position] :
% 1.87/1.50        ( ( next @ ( next @ P @ top ) @ bottom )
% 1.87/1.50        = P ) ).
% 1.87/1.50  
% 1.87/1.50  thf(wall_type,type,
% 1.87/1.50      wall: position > $o ).
% 1.87/1.50  
% 1.87/1.50  thf(movelist_type,type,
% 1.87/1.50      movelist: $tType ).
% 1.87/1.50  
% 1.87/1.50  thf(nomove_type,type,
% 1.87/1.50      nomove: movelist ).
% 1.87/1.50  
% 1.87/1.50  thf(movedir_type,type,
% 1.87/1.50      movedir: movelist > direction > movelist ).
% 1.87/1.50  
% 1.87/1.50  thf(playerpos_type,type,
% 1.87/1.50      playerpos: movelist > position ).
% 1.87/1.50  
% 1.87/1.50  thf(player_move_legal,axiom,
% 1.87/1.50      ! [PO: position,M: movelist,D: direction] :
% 1.87/1.50        ( ( ( playerpos @ M )
% 1.87/1.50          = PO )
% 1.87/1.50       => ( ~ ( wall @ ( next @ PO @ D ) )
% 1.87/1.50         => ( ( playerpos @ ( movedir @ M @ D ) )
% 1.87/1.50            = ( next @ PO @ D ) ) ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(player_move_illegal,axiom,
% 1.87/1.50      ! [PO: position,M: movelist,D: direction] :
% 1.87/1.50        ( ( ( playerpos @ M )
% 1.87/1.50          = PO )
% 1.87/1.50       => ( ( wall @ ( next @ PO @ D ) )
% 1.87/1.50         => ( ( playerpos @ ( movedir @ M @ D ) )
% 1.87/1.50            = PO ) ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c00_type,type,
% 1.87/1.50      c00: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c10_type,type,
% 1.87/1.50      c10: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c20_type,type,
% 1.87/1.50      c20: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c30_type,type,
% 1.87/1.50      c30: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c40_type,type,
% 1.87/1.50      c40: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c01_type,type,
% 1.87/1.50      c01: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c11_type,type,
% 1.87/1.50      c11: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c21_type,type,
% 1.87/1.50      c21: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c31_type,type,
% 1.87/1.50      c31: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c41_type,type,
% 1.87/1.50      c41: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c02_type,type,
% 1.87/1.50      c02: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c12_type,type,
% 1.87/1.50      c12: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c22_type,type,
% 1.87/1.50      c22: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c32_type,type,
% 1.87/1.50      c32: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c42_type,type,
% 1.87/1.50      c42: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c03_type,type,
% 1.87/1.50      c03: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c13_type,type,
% 1.87/1.50      c13: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c23_type,type,
% 1.87/1.50      c23: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c33_type,type,
% 1.87/1.50      c33: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c43_type,type,
% 1.87/1.50      c43: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c04_type,type,
% 1.87/1.50      c04: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c14_type,type,
% 1.87/1.50      c14: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c24_type,type,
% 1.87/1.50      c24: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c34_type,type,
% 1.87/1.50      c34: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c44_type,type,
% 1.87/1.50      c44: position ).
% 1.87/1.50  
% 1.87/1.50  thf(c10_defin,definition,
% 1.87/1.50      ( c10
% 1.87/1.50      = ( next @ c00 @ right ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c20_defin,definition,
% 1.87/1.50      ( c20
% 1.87/1.50      = ( next @ c10 @ right ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c30_defin,definition,
% 1.87/1.50      ( c30
% 1.87/1.50      = ( next @ c20 @ right ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c40_defin,definition,
% 1.87/1.50      ( c40
% 1.87/1.50      = ( next @ c30 @ right ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c01_defin,definition,
% 1.87/1.50      ( c01
% 1.87/1.50      = ( next @ c00 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c02_defin,definition,
% 1.87/1.50      ( c02
% 1.87/1.50      = ( next @ c01 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c03_defin,definition,
% 1.87/1.50      ( c03
% 1.87/1.50      = ( next @ c02 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c04_defin,definition,
% 1.87/1.50      ( c04
% 1.87/1.50      = ( next @ c03 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c11_defin,definition,
% 1.87/1.50      ( c11
% 1.87/1.50      = ( next @ c10 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c12_defin,definition,
% 1.87/1.50      ( c12
% 1.87/1.50      = ( next @ c11 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c13_defin,definition,
% 1.87/1.50      ( c13
% 1.87/1.50      = ( next @ c12 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c14_defin,definition,
% 1.87/1.50      ( c14
% 1.87/1.50      = ( next @ c13 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c21_defin,definition,
% 1.87/1.50      ( c21
% 1.87/1.50      = ( next @ c20 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c22_defin,definition,
% 1.87/1.50      ( c22
% 1.87/1.50      = ( next @ c21 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c23_defin,definition,
% 1.87/1.50      ( c23
% 1.87/1.50      = ( next @ c22 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c24_defin,definition,
% 1.87/1.50      ( c24
% 1.87/1.50      = ( next @ c23 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c31_defin,definition,
% 1.87/1.50      ( c31
% 1.87/1.50      = ( next @ c30 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c32_defin,definition,
% 1.87/1.50      ( c32
% 1.87/1.50      = ( next @ c31 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c33_defin,definition,
% 1.87/1.50      ( c33
% 1.87/1.50      = ( next @ c32 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c34_defin,definition,
% 1.87/1.50      ( c34
% 1.87/1.50      = ( next @ c33 @ top ) ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c00_axiom,axiom,
% 1.87/1.50      ( ( wall @ c00 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c10_axiom,axiom,
% 1.87/1.50      ( ( wall @ c10 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c20_axiom,axiom,
% 1.87/1.50      ( ( wall @ c20 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c30_axiom,axiom,
% 1.87/1.50      ( ( wall @ c30 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c40_axiom,axiom,
% 1.87/1.50      ( ( wall @ c40 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c01_axiom,axiom,
% 1.87/1.50      ( ( wall @ c01 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c11_axiom,axiom,
% 1.87/1.50      ( ( wall @ c11 )
% 1.87/1.50      = $false ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c21_axiom,axiom,
% 1.87/1.50      ( ( wall @ c21 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c31_axiom,axiom,
% 1.87/1.50      ( ( wall @ c31 )
% 1.87/1.50      = $false ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c41_axiom,axiom,
% 1.87/1.50      ( ( wall @ c41 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c02_axiom,axiom,
% 1.87/1.50      ( ( wall @ c02 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c12_axiom,axiom,
% 1.87/1.50      ( ( wall @ c12 )
% 1.87/1.50      = $false ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c22_axiom,axiom,
% 1.87/1.50      ( ( wall @ c22 )
% 1.87/1.50      = $false ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c32_axiom,axiom,
% 1.87/1.50      ( ( wall @ c32 )
% 1.87/1.50      = $false ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c42_axiom,axiom,
% 1.87/1.50      ( ( wall @ c42 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c03_axiom,axiom,
% 1.87/1.50      ( ( wall @ c03 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c13_axiom,axiom,
% 1.87/1.50      ( ( wall @ c13 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c23_axiom,axiom,
% 1.87/1.50      ( ( wall @ c23 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c33_axiom,axiom,
% 1.87/1.50      ( ( wall @ c33 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(c43_axiom,axiom,
% 1.87/1.50      ( ( wall @ c43 )
% 1.87/1.50      = $true ) ).
% 1.87/1.50  
% 1.87/1.50  thf(start_axiom,axiom,
% 1.87/1.50      ( ( playerpos @ nomove )
% 1.87/1.50      = c11 ) ).
% 1.87/1.50  
% 1.87/1.50  thf(exercise,conjecture,
% 1.87/1.50      ? [M: movelist] :
% 1.87/1.50        ( ( playerpos @ M )
% 1.87/1.50        = c31 ) ).
% 1.87/1.50  ------------------------
% 1.87/1.52  % (12475)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/2Mi)
% 1.87/1.52  % (12477)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/275Mi)
% 1.87/1.52  % (12473)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/4Mi)
% 1.87/1.52  % (12472)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/183Mi)
% 1.87/1.52  % (12476)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/2Mi)
% 1.87/1.52  % (12474)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/27Mi)
% 1.87/1.52  % (12478)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/18Mi)
% 1.87/1.52  % (12475)Instruction limit reached!
% 1.87/1.52  % (12475)------------------------------
% 1.87/1.52  % (12475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.52  % (12475)Termination reason: Unknown
% 1.87/1.52  % (12475)Termination phase: Preprocessing 3
% 1.87/1.52  % (12476)Instruction limit reached!
% 1.87/1.52  % (12476)------------------------------
% 1.87/1.52  % (12476)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.52  % (12476)Termination reason: Unknown
% 1.87/1.52  % (12476)Termination phase: Property scanning
% 1.87/1.52  
% 1.87/1.52  % (12476)Memory used [KB]: 1023
% 1.87/1.52  % (12476)Time elapsed: 0.003 s
% 1.87/1.52  % (12476)Instructions burned: 3 (million)
% 1.87/1.52  % (12476)------------------------------
% 1.87/1.52  % (12476)------------------------------
% 1.87/1.52  
% 1.87/1.52  % (12475)Memory used [KB]: 1023
% 1.87/1.52  % (12475)Time elapsed: 0.003 s
% 1.87/1.52  % (12475)Instructions burned: 2 (million)
% 1.87/1.52  % (12475)------------------------------
% 1.87/1.52  % (12475)------------------------------
% 1.87/1.52  % (12473)Instruction limit reached!
% 1.87/1.52  % (12473)------------------------------
% 1.87/1.52  % (12473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.52  % (12473)Termination reason: Unknown
% 1.87/1.52  % (12473)Termination phase: Function definition elimination
% 1.87/1.52  
% 1.87/1.52  % (12473)Memory used [KB]: 1023
% 1.87/1.52  % (12473)Time elapsed: 0.004 s
% 1.87/1.52  % (12473)Instructions burned: 4 (million)
% 1.87/1.52  % (12473)------------------------------
% 1.87/1.52  % (12473)------------------------------
% 1.87/1.52  % (12477)Refutation not found, incomplete strategy
% 1.87/1.52  % (12477)------------------------------
% 1.87/1.52  % (12477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.52  % (12477)Termination reason: Refutation not found, incomplete strategy
% 1.87/1.52  
% 1.87/1.52  
% 1.87/1.52  % (12477)Memory used [KB]: 5500
% 1.87/1.52  % (12477)Time elapsed: 0.004 s
% 1.87/1.52  % (12477)Instructions burned: 3 (million)
% 1.87/1.52  % (12477)------------------------------
% 1.87/1.52  % (12477)------------------------------
% 1.87/1.53  % (12478)Instruction limit reached!
% 1.87/1.53  % (12478)------------------------------
% 1.87/1.53  % (12478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.53  % (12478)Termination reason: Unknown
% 1.87/1.53  % (12478)Termination phase: Saturation
% 1.87/1.53  
% 1.87/1.53  % (12478)Memory used [KB]: 5628
% 1.87/1.53  % (12478)Time elapsed: 0.011 s
% 1.87/1.53  % (12478)Instructions burned: 18 (million)
% 1.87/1.53  % (12478)------------------------------
% 1.87/1.53  % (12478)------------------------------
% 1.87/1.53  % (12474)Instruction limit reached!
% 1.87/1.53  % (12474)------------------------------
% 1.87/1.53  % (12474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.53  % (12474)Termination reason: Unknown
% 1.87/1.53  % (12474)Termination phase: Saturation
% 1.87/1.53  
% 1.87/1.53  % (12474)Memory used [KB]: 5628
% 1.87/1.53  % (12474)Time elapsed: 0.016 s
% 1.87/1.53  % (12474)Instructions burned: 27 (million)
% 1.87/1.53  % (12474)------------------------------
% 1.87/1.53  % (12474)------------------------------
% 1.87/1.54  % (12480)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/37Mi)
% 1.87/1.54  % (12479)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/3Mi)
% 1.87/1.54  % (12481)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/15Mi)
% 1.87/1.54  % (12482)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/3Mi)
% 1.87/1.54  % (12479)Instruction limit reached!
% 1.87/1.54  % (12479)------------------------------
% 1.87/1.54  % (12479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.54  % (12479)Termination reason: Unknown
% 1.87/1.54  % (12479)Termination phase: Property scanning
% 1.87/1.54  
% 1.87/1.54  % (12479)Memory used [KB]: 1023
% 1.87/1.54  % (12479)Time elapsed: 0.003 s
% 1.87/1.54  % (12479)Instructions burned: 3 (million)
% 1.87/1.54  % (12479)------------------------------
% 1.87/1.54  % (12479)------------------------------
% 1.87/1.54  % (12482)Instruction limit reached!
% 1.87/1.54  % (12482)------------------------------
% 1.87/1.54  % (12482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.54  % (12482)Termination reason: Unknown
% 1.87/1.54  % (12482)Termination phase: Property scanning
% 1.87/1.54  
% 1.87/1.54  % (12482)Memory used [KB]: 1023
% 1.87/1.54  % (12482)Time elapsed: 0.003 s
% 1.87/1.54  % (12482)Instructions burned: 3 (million)
% 1.87/1.54  % (12482)------------------------------
% 1.87/1.54  % (12482)------------------------------
% 1.87/1.54  % (12481)Instruction limit reached!
% 1.87/1.54  % (12481)------------------------------
% 1.87/1.54  % (12481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.54  % (12481)Termination reason: Unknown
% 1.87/1.54  % (12483)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/1041Mi)
% 1.87/1.54  % (12481)Termination phase: Saturation
% 1.87/1.54  
% 1.87/1.54  % (12481)Memory used [KB]: 5628
% 1.87/1.54  % (12481)Time elapsed: 0.009 s
% 1.87/1.54  % (12481)Instructions burned: 15 (million)
% 1.87/1.54  % (12481)------------------------------
% 1.87/1.54  % (12481)------------------------------
% 1.87/1.55  % (12484)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/7Mi)
% 1.87/1.55  % (12484)Instruction limit reached!
% 1.87/1.55  % (12484)------------------------------
% 1.87/1.55  % (12484)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.55  % (12484)Termination reason: Unknown
% 1.87/1.55  % (12484)Termination phase: Saturation
% 1.87/1.55  
% 1.87/1.55  % (12484)Memory used [KB]: 1023
% 1.87/1.55  % (12484)Time elapsed: 0.005 s
% 1.87/1.55  % (12484)Instructions burned: 7 (million)
% 1.87/1.55  % (12484)------------------------------
% 1.87/1.55  % (12484)------------------------------
% 1.87/1.55  % (12485)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/16Mi)
% 1.87/1.55  % (12480)Instruction limit reached!
% 1.87/1.55  % (12480)------------------------------
% 1.87/1.55  % (12480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.56  % (12480)Termination reason: Unknown
% 1.87/1.56  % (12480)Termination phase: Saturation
% 1.87/1.56  
% 1.87/1.56  % (12480)Memory used [KB]: 5756
% 1.87/1.56  % (12480)Time elapsed: 0.020 s
% 1.87/1.56  % (12480)Instructions burned: 37 (million)
% 1.87/1.56  % (12480)------------------------------
% 1.87/1.56  % (12480)------------------------------
% 1.87/1.56  % (12486)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/3Mi)
% 1.87/1.56  % (12486)Instruction limit reached!
% 1.87/1.56  % (12486)------------------------------
% 1.87/1.56  % (12486)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.56  % (12486)Termination reason: Unknown
% 1.87/1.56  % (12486)Termination phase: Property scanning
% 1.87/1.56  
% 1.87/1.56  % (12486)Memory used [KB]: 1023
% 1.87/1.56  % (12486)Time elapsed: 0.003 s
% 1.87/1.56  % (12486)Instructions burned: 3 (million)
% 1.87/1.56  % (12486)------------------------------
% 1.87/1.56  % (12486)------------------------------
% 1.87/1.56  % (12487)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/3Mi)
% 1.87/1.56  % (12487)Instruction limit reached!
% 1.87/1.56  % (12487)------------------------------
% 1.87/1.56  % (12487)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.56  % (12487)Termination reason: Unknown
% 1.87/1.56  % (12487)Termination phase: Property scanning
% 1.87/1.56  
% 1.87/1.56  % (12487)Memory used [KB]: 1023
% 1.87/1.56  % (12487)Time elapsed: 0.003 s
% 1.87/1.56  % (12487)Instructions burned: 3 (million)
% 1.87/1.56  % (12487)------------------------------
% 1.87/1.56  % (12487)------------------------------
% 1.87/1.56  % (12485)Instruction limit reached!
% 1.87/1.56  % (12485)------------------------------
% 1.87/1.56  % (12485)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.56  % (12485)Termination reason: Unknown
% 1.87/1.56  % (12485)Termination phase: Saturation
% 1.87/1.56  
% 1.87/1.56  % (12485)Memory used [KB]: 5756
% 1.87/1.56  % (12485)Time elapsed: 0.010 s
% 1.87/1.56  % (12485)Instructions burned: 17 (million)
% 1.87/1.56  % (12485)------------------------------
% 1.87/1.56  % (12485)------------------------------
% 1.87/1.57  % (12488)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/7Mi)
% 1.87/1.57  % (12489)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/3Mi)
% 1.87/1.57  % (12488)Instruction limit reached!
% 1.87/1.57  % (12488)------------------------------
% 1.87/1.57  % (12488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.57  % (12488)Termination reason: Unknown
% 1.87/1.57  % (12488)Termination phase: Saturation
% 1.87/1.57  
% 1.87/1.57  % (12488)Memory used [KB]: 5500
% 1.87/1.57  % (12488)Time elapsed: 0.005 s
% 1.87/1.57  % (12488)Instructions burned: 7 (million)
% 1.87/1.57  % (12488)------------------------------
% 1.87/1.57  % (12488)------------------------------
% 1.87/1.57  % (12489)Instruction limit reached!
% 1.87/1.57  % (12489)------------------------------
% 1.87/1.57  % (12489)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.57  % (12489)Termination reason: Unknown
% 1.87/1.57  % (12489)Termination phase: Property scanning
% 1.87/1.57  
% 1.87/1.57  % (12489)Memory used [KB]: 1023
% 1.87/1.57  % (12489)Time elapsed: 0.003 s
% 1.87/1.57  % (12489)Instructions burned: 3 (million)
% 1.87/1.57  % (12489)------------------------------
% 1.87/1.57  % (12489)------------------------------
% 1.87/1.57  % (12490)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/4Mi)
% 1.87/1.57  % (12490)Instruction limit reached!
% 1.87/1.57  % (12490)------------------------------
% 1.87/1.57  % (12490)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.57  % (12490)Termination reason: Unknown
% 1.87/1.57  % (12490)Termination phase: Function definition elimination
% 1.87/1.57  
% 1.87/1.57  % (12490)Memory used [KB]: 1023
% 1.87/1.57  % (12490)Time elapsed: 0.003 s
% 1.87/1.57  % (12490)Instructions burned: 4 (million)
% 1.87/1.57  % (12490)------------------------------
% 1.87/1.57  % (12490)------------------------------
% 1.87/1.58  % (12491)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/18Mi)
% 1.87/1.58  % (12492)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/710Mi)
% 1.87/1.59  % (12491)Instruction limit reached!
% 1.87/1.59  % (12491)------------------------------
% 1.87/1.59  % (12491)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.59  % (12491)Termination reason: Unknown
% 1.87/1.59  % (12491)Termination phase: Saturation
% 1.87/1.59  
% 1.87/1.59  % (12491)Memory used [KB]: 5628
% 1.87/1.59  % (12491)Time elapsed: 0.011 s
% 1.87/1.59  % (12491)Instructions burned: 19 (million)
% 1.87/1.59  % (12491)------------------------------
% 1.87/1.59  % (12491)------------------------------
% 1.87/1.59  % (12493)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/6Mi)
% 1.87/1.59  % (12494)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/902Mi)
% 1.87/1.59  % (12495)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/21Mi)
% 1.87/1.59  % (12493)Instruction limit reached!
% 1.87/1.59  % (12493)------------------------------
% 1.87/1.59  % (12493)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.87/1.59  % (12493)Termination reason: Unknown
% 1.87/1.59  % (12493)Termination phase: Saturation
% 1.87/1.59  
% 1.87/1.59  % (12493)Memory used [KB]: 5500
% 1.87/1.59  % (12493)Time elapsed: 0.005 s
% 1.87/1.59  % (12493)Instructions burned: 7 (million)
% 1.87/1.59  % (12493)------------------------------
% 1.87/1.59  % (12493)------------------------------
% 1.89/1.60  % (12495)Instruction limit reached!
% 1.89/1.60  % (12495)------------------------------
% 1.89/1.60  % (12495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.60  % (12495)Termination reason: Unknown
% 1.89/1.60  % (12495)Termination phase: Saturation
% 1.89/1.60  
% 1.89/1.60  % (12495)Memory used [KB]: 5628
% 1.89/1.60  % (12495)Time elapsed: 0.013 s
% 1.89/1.60  % (12495)Instructions burned: 22 (million)
% 1.89/1.60  % (12495)------------------------------
% 1.89/1.60  % (12495)------------------------------
% 1.89/1.60  % (12496)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/5Mi)
% 1.89/1.61  % (12496)Instruction limit reached!
% 1.89/1.61  % (12496)------------------------------
% 1.89/1.61  % (12496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.61  % (12496)Termination reason: Unknown
% 1.89/1.61  % (12496)Termination phase: Property scanning
% 1.89/1.61  
% 1.89/1.61  % (12496)Memory used [KB]: 1023
% 1.89/1.61  % (12496)Time elapsed: 0.004 s
% 1.89/1.61  % (12496)Instructions burned: 6 (million)
% 1.89/1.61  % (12496)------------------------------
% 1.89/1.61  % (12496)------------------------------
% 1.89/1.61  % (12497)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/6Mi)
% 1.89/1.61  % (12472)Instruction limit reached!
% 1.89/1.61  % (12472)------------------------------
% 1.89/1.61  % (12472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.61  % (12472)Termination reason: Unknown
% 1.89/1.61  % (12472)Termination phase: Saturation
% 1.89/1.61  
% 1.89/1.61  % (12472)Memory used [KB]: 6780
% 1.89/1.61  % (12472)Time elapsed: 0.092 s
% 1.89/1.61  % (12472)Instructions burned: 184 (million)
% 1.89/1.61  % (12472)------------------------------
% 1.89/1.61  % (12472)------------------------------
% 1.89/1.61  % (12497)Instruction limit reached!
% 1.89/1.61  % (12497)------------------------------
% 1.89/1.61  % (12497)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.61  % (12497)Termination reason: Unknown
% 1.89/1.61  % (12497)Termination phase: Saturation
% 1.89/1.61  
% 1.89/1.61  % (12497)Memory used [KB]: 5500
% 1.89/1.61  % (12497)Time elapsed: 0.005 s
% 1.89/1.61  % (12497)Instructions burned: 7 (million)
% 1.89/1.61  % (12497)------------------------------
% 1.89/1.61  % (12497)------------------------------
% 1.89/1.62  % (12498)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/377Mi)
% 1.89/1.62  % (12499)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/779Mi)
% 1.89/1.63  % (12500)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/19Mi)
% 1.89/1.63  % (12501)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_12374 for (2999ds/879Mi)
% 1.89/1.63  % (12500)Refutation not found, incomplete strategy
% 1.89/1.63  % (12500)------------------------------
% 1.89/1.63  % (12500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.63  % (12500)Termination reason: Refutation not found, incomplete strategy
% 1.89/1.63  
% 1.89/1.63  
% 1.89/1.63  % (12500)Memory used [KB]: 5628
% 1.89/1.63  % (12500)Time elapsed: 0.008 s
% 1.89/1.63  % (12500)Instructions burned: 11 (million)
% 1.89/1.63  % (12500)------------------------------
% 1.89/1.63  % (12500)------------------------------
% 1.89/1.65  % (12502)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_12374 for (2998ds/17Mi)
% 1.89/1.66  % (12502)Instruction limit reached!
% 1.89/1.66  % (12502)------------------------------
% 1.89/1.66  % (12502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.66  % (12502)Termination reason: Unknown
% 1.89/1.66  % (12502)Termination phase: Saturation
% 1.89/1.66  
% 1.89/1.66  % (12502)Memory used [KB]: 5756
% 1.89/1.66  % (12502)Time elapsed: 0.011 s
% 1.89/1.66  % (12502)Instructions burned: 18 (million)
% 1.89/1.66  % (12502)------------------------------
% 1.89/1.66  % (12502)------------------------------
% 1.89/1.67  % (12503)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_12374 for (2998ds/3Mi)
% 1.89/1.68  % (12503)Instruction limit reached!
% 1.89/1.68  % (12503)------------------------------
% 1.89/1.68  % (12503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.68  % (12503)Termination reason: Unknown
% 1.89/1.68  % (12503)Termination phase: Property scanning
% 1.89/1.68  
% 1.89/1.68  % (12503)Memory used [KB]: 1023
% 1.89/1.68  % (12503)Time elapsed: 0.003 s
% 1.89/1.68  % (12503)Instructions burned: 3 (million)
% 1.89/1.68  % (12503)------------------------------
% 1.89/1.68  % (12503)------------------------------
% 1.89/1.69  % (12504)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_12374 for (2998ds/30Mi)
% 1.89/1.71  % (12504)Instruction limit reached!
% 1.89/1.71  % (12504)------------------------------
% 1.89/1.71  % (12504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.71  % (12504)Termination reason: Unknown
% 1.89/1.71  % (12504)Termination phase: Saturation
% 1.89/1.71  
% 1.89/1.71  % (12504)Memory used [KB]: 5756
% 1.89/1.71  % (12504)Time elapsed: 0.017 s
% 1.89/1.71  % (12504)Instructions burned: 30 (million)
% 1.89/1.71  % (12504)------------------------------
% 1.89/1.71  % (12504)------------------------------
% 1.89/1.72  % (12505)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_12374 for (2998ds/127Mi)
% 1.89/1.78  % (12505)Instruction limit reached!
% 1.89/1.78  % (12505)------------------------------
% 1.89/1.78  % (12505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.78  % (12505)Termination reason: Unknown
% 1.89/1.78  % (12505)Termination phase: Saturation
% 1.89/1.78  
% 1.89/1.78  % (12505)Memory used [KB]: 5756
% 1.89/1.78  % (12505)Time elapsed: 0.083 s
% 1.89/1.78  % (12505)Instructions burned: 129 (million)
% 1.89/1.78  % (12505)------------------------------
% 1.89/1.78  % (12505)------------------------------
% 1.89/1.80  % (12498)Instruction limit reached!
% 1.89/1.80  % (12498)------------------------------
% 1.89/1.80  % (12498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.80  % (12498)Termination reason: Unknown
% 1.89/1.80  % (12498)Termination phase: Saturation
% 1.89/1.80  
% 1.89/1.80  % (12498)Memory used [KB]: 6396
% 1.89/1.80  % (12498)Time elapsed: 0.179 s
% 1.89/1.80  % (12498)Instructions burned: 378 (million)
% 1.89/1.80  % (12498)------------------------------
% 1.89/1.80  % (12498)------------------------------
% 1.89/1.80  % (12506)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_12374 for (2997ds/100Mi)
% 1.89/1.81  % (12507)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_12374 for (2997ds/3Mi)
% 1.89/1.81  % (12507)Instruction limit reached!
% 1.89/1.81  % (12507)------------------------------
% 1.89/1.81  % (12507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.81  % (12507)Termination reason: Unknown
% 1.89/1.81  % (12507)Termination phase: Function definition elimination
% 1.89/1.81  
% 1.89/1.81  % (12507)Memory used [KB]: 1023
% 1.89/1.81  % (12507)Time elapsed: 0.004 s
% 1.89/1.81  % (12507)Instructions burned: 5 (million)
% 1.89/1.81  % (12507)------------------------------
% 1.89/1.81  % (12507)------------------------------
% 1.89/1.83  % (12508)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_12374 for (2996ds/20Mi)
% 1.89/1.84  % (12508)Instruction limit reached!
% 1.89/1.84  % (12508)------------------------------
% 1.89/1.84  % (12508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.84  % (12508)Termination reason: Unknown
% 1.89/1.84  % (12508)Termination phase: Saturation
% 1.89/1.84  
% 1.89/1.84  % (12508)Memory used [KB]: 5628
% 1.89/1.84  % (12508)Time elapsed: 0.012 s
% 1.89/1.84  % (12508)Instructions burned: 21 (million)
% 1.89/1.84  % (12508)------------------------------
% 1.89/1.84  % (12508)------------------------------
% 1.89/1.85  % (12506)Instruction limit reached!
% 1.89/1.85  % (12506)------------------------------
% 1.89/1.85  % (12506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.85  % (12506)Termination reason: Unknown
% 1.89/1.85  % (12506)Termination phase: Saturation
% 1.89/1.85  
% 1.89/1.85  % (12506)Memory used [KB]: 5884
% 1.89/1.85  % (12506)Time elapsed: 0.074 s
% 1.89/1.85  % (12506)Instructions burned: 101 (million)
% 1.89/1.85  % (12506)------------------------------
% 1.89/1.85  % (12506)------------------------------
% 1.89/1.86  % (12509)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_12374 for (2996ds/86Mi)
% 1.89/1.87  % (12510)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_12374 for (2996ds/107Mi)
% 1.89/1.89  % (12492)Instruction limit reached!
% 1.89/1.89  % (12492)------------------------------
% 1.89/1.89  % (12492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.89  % (12492)Termination reason: Unknown
% 1.89/1.89  % (12492)Termination phase: Saturation
% 1.89/1.89  
% 1.89/1.89  % (12492)Memory used [KB]: 6396
% 1.89/1.89  % (12492)Time elapsed: 0.318 s
% 1.89/1.89  % (12492)Instructions burned: 712 (million)
% 1.89/1.89  % (12492)------------------------------
% 1.89/1.89  % (12492)------------------------------
% 1.89/1.90  % (12509)Instruction limit reached!
% 1.89/1.90  % (12509)------------------------------
% 1.89/1.90  % (12509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.90  % (12509)Termination reason: Unknown
% 1.89/1.90  % (12509)Termination phase: Saturation
% 1.89/1.90  
% 1.89/1.90  % (12509)Memory used [KB]: 6012
% 1.89/1.90  % (12509)Time elapsed: 0.045 s
% 1.89/1.90  % (12509)Instructions burned: 88 (million)
% 1.89/1.90  % (12509)------------------------------
% 1.89/1.90  % (12509)------------------------------
% 1.89/1.91  % (12511)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_12374 for (2996ds/39Mi)
% 1.89/1.92  % (12512)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_12374 for (2995ds/448Mi)
% 1.89/1.92  % (12510)Instruction limit reached!
% 1.89/1.92  % (12510)------------------------------
% 1.89/1.92  % (12510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.92  % (12510)Termination reason: Unknown
% 1.89/1.92  % (12510)Termination phase: Saturation
% 1.89/1.92  
% 1.89/1.92  % (12510)Memory used [KB]: 5756
% 1.89/1.92  % (12510)Time elapsed: 0.052 s
% 1.89/1.92  % (12510)Instructions burned: 108 (million)
% 1.89/1.92  % (12510)------------------------------
% 1.89/1.92  % (12510)------------------------------
% 1.89/1.93  % (12511)Instruction limit reached!
% 1.89/1.93  % (12511)------------------------------
% 1.89/1.93  % (12511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.93  % (12511)Termination reason: Unknown
% 1.89/1.93  % (12511)Termination phase: Saturation
% 1.89/1.93  
% 1.89/1.93  % (12511)Memory used [KB]: 5756
% 1.89/1.93  % (12511)Time elapsed: 0.022 s
% 1.89/1.93  % (12511)Instructions burned: 41 (million)
% 1.89/1.93  % (12511)------------------------------
% 1.89/1.93  % (12511)------------------------------
% 1.89/1.93  % (12513)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_12374 for (2995ds/46Mi)
% 1.89/1.95  % (12514)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_12374 for (2995ds/98Mi)
% 1.89/1.96  % (12513)Instruction limit reached!
% 1.89/1.96  % (12513)------------------------------
% 1.89/1.96  % (12513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.96  % (12513)Termination reason: Unknown
% 1.89/1.96  % (12513)Termination phase: Saturation
% 1.89/1.96  
% 1.89/1.96  % (12513)Memory used [KB]: 5756
% 1.89/1.96  % (12513)Time elapsed: 0.025 s
% 1.89/1.96  % (12513)Instructions burned: 46 (million)
% 1.89/1.96  % (12513)------------------------------
% 1.89/1.96  % (12513)------------------------------
% 1.89/1.97  % (12515)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_12374 for (2995ds/507Mi)
% 1.89/1.98  % (12499)Instruction limit reached!
% 1.89/1.98  % (12499)------------------------------
% 1.89/1.98  % (12499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.98  % (12499)Termination reason: Unknown
% 1.89/1.98  % (12499)Termination phase: Saturation
% 1.89/1.98  
% 1.89/1.98  % (12499)Memory used [KB]: 6268
% 1.89/1.98  % (12499)Time elapsed: 0.364 s
% 1.89/1.98  % (12499)Instructions burned: 779 (million)
% 1.89/1.98  % (12499)------------------------------
% 1.89/1.98  % (12499)------------------------------
% 1.89/1.99  % (12514)Instruction limit reached!
% 1.89/1.99  % (12514)------------------------------
% 1.89/1.99  % (12514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/1.99  % (12514)Termination reason: Unknown
% 1.89/1.99  % (12514)Termination phase: Saturation
% 1.89/1.99  
% 1.89/1.99  % (12514)Memory used [KB]: 1407
% 1.89/1.99  % (12514)Time elapsed: 0.049 s
% 1.89/1.99  % (12514)Instructions burned: 98 (million)
% 1.89/1.99  % (12514)------------------------------
% 1.89/1.99  % (12514)------------------------------
% 1.89/2.00  % (12516)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_12374 for (2995ds/149Mi)
% 1.89/2.01  % (12517)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_12374 for (2995ds/39Mi)
% 1.89/2.02  % (12494)Instruction limit reached!
% 1.89/2.02  % (12494)------------------------------
% 1.89/2.02  % (12494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/2.02  % (12494)Termination reason: Unknown
% 1.89/2.02  % (12494)Termination phase: Saturation
% 1.89/2.02  
% 1.89/2.02  % (12494)Memory used [KB]: 6908
% 1.89/2.02  % (12494)Time elapsed: 0.429 s
% 1.89/2.02  % (12494)Instructions burned: 903 (million)
% 1.89/2.02  % (12494)------------------------------
% 1.89/2.02  % (12494)------------------------------
% 1.89/2.02  % (12501)Instruction limit reached!
% 1.89/2.02  % (12501)------------------------------
% 1.89/2.02  % (12501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.89/2.02  % (12501)Termination reason: Unknown
% 1.89/2.02  % (12501)Termination phase: Saturation
% 1.89/2.02  
% 1.89/2.02  % (12501)Memory used [KB]: 6780
% 1.89/2.02  % (12501)Time elapsed: 0.397 s
% 1.89/2.02  % (12501)Instructions burned: 881 (million)
% 1.89/2.02  % (12501)------------------------------
% 1.89/2.02  % (12501)------------------------------
% 5.44/2.03  % (12517)Instruction limit reached!
% 5.44/2.03  % (12517)------------------------------
% 5.44/2.03  % (12517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.03  % (12517)Termination reason: Unknown
% 5.44/2.03  % (12517)Termination phase: Saturation
% 5.44/2.03  
% 5.44/2.03  % (12517)Memory used [KB]: 5628
% 5.44/2.03  % (12517)Time elapsed: 0.021 s
% 5.44/2.03  % (12517)Instructions burned: 40 (million)
% 5.44/2.03  % (12517)------------------------------
% 5.44/2.03  % (12517)------------------------------
% 5.44/2.03  % (12518)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_12374 for (2994ds/6Mi)
% 5.44/2.04  % (12518)Instruction limit reached!
% 5.44/2.04  % (12518)------------------------------
% 5.44/2.04  % (12518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.04  % (12518)Termination reason: Unknown
% 5.44/2.04  % (12518)Termination phase: Saturation
% 5.44/2.04  
% 5.44/2.04  % (12518)Memory used [KB]: 9978
% 5.44/2.04  % (12518)Time elapsed: 0.005 s
% 5.44/2.04  % (12518)Instructions burned: 6 (million)
% 5.44/2.04  % (12518)------------------------------
% 5.44/2.04  % (12518)------------------------------
% 5.44/2.04  % (12483)Instruction limit reached!
% 5.44/2.04  % (12483)------------------------------
% 5.44/2.04  % (12483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.04  % (12483)Termination reason: Unknown
% 5.44/2.04  % (12483)Termination phase: Saturation
% 5.44/2.04  
% 5.44/2.04  % (12483)Memory used [KB]: 7547
% 5.44/2.04  % (12483)Time elapsed: 0.495 s
% 5.44/2.04  % (12483)Instructions burned: 1042 (million)
% 5.44/2.04  % (12483)------------------------------
% 5.44/2.04  % (12483)------------------------------
% 5.44/2.04  % (12519)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_12374 for (2994ds/1087Mi)
% 5.44/2.05  % (12520)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_12374 for (2994ds/47Mi)
% 5.44/2.05  % (12521)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_12374 for (2994ds/44Mi)
% 5.44/2.05  % (12522)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_12374 for (2994ds/432Mi)
% 5.44/2.07  % (12520)Instruction limit reached!
% 5.44/2.07  % (12520)------------------------------
% 5.44/2.07  % (12520)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.07  % (12520)Termination reason: Unknown
% 5.44/2.07  % (12520)Termination phase: Saturation
% 5.44/2.07  
% 5.44/2.07  % (12520)Memory used [KB]: 5628
% 5.44/2.07  % (12520)Time elapsed: 0.025 s
% 5.44/2.07  % (12520)Instructions burned: 47 (million)
% 5.44/2.07  % (12520)------------------------------
% 5.44/2.07  % (12520)------------------------------
% 5.44/2.07  % (12521)Instruction limit reached!
% 5.44/2.07  % (12521)------------------------------
% 5.44/2.07  % (12521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.07  % (12521)Termination reason: Unknown
% 5.44/2.07  % (12521)Termination phase: Saturation
% 5.44/2.07  
% 5.44/2.07  % (12521)Memory used [KB]: 1279
% 5.44/2.07  % (12521)Time elapsed: 0.023 s
% 5.44/2.07  % (12521)Instructions burned: 45 (million)
% 5.44/2.07  % (12521)------------------------------
% 5.44/2.07  % (12521)------------------------------
% 5.44/2.07  % (12516)Instruction limit reached!
% 5.44/2.07  % (12516)------------------------------
% 5.44/2.07  % (12516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.07  % (12516)Termination reason: Unknown
% 5.44/2.08  % (12516)Termination phase: Saturation
% 5.44/2.08  
% 5.44/2.08  % (12516)Memory used [KB]: 6012
% 5.44/2.08  % (12516)Time elapsed: 0.076 s
% 5.44/2.08  % (12516)Instructions burned: 149 (million)
% 5.44/2.08  % (12516)------------------------------
% 5.44/2.08  % (12516)------------------------------
% 5.44/2.09  % (12523)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_12374 for (2994ds/62Mi)
% 5.44/2.09  % (12524)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_12374 for (2994ds/31Mi)
% 5.44/2.09  % (12525)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_12374 for (2994ds/96Mi)
% 5.44/2.11  % (12524)Instruction limit reached!
% 5.44/2.11  % (12524)------------------------------
% 5.44/2.11  % (12524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.11  % (12524)Termination reason: Unknown
% 5.44/2.11  % (12524)Termination phase: Saturation
% 5.44/2.11  
% 5.44/2.11  % (12524)Memory used [KB]: 5756
% 5.44/2.11  % (12524)Time elapsed: 0.018 s
% 5.44/2.11  % (12524)Instructions burned: 33 (million)
% 5.44/2.11  % (12524)------------------------------
% 5.44/2.11  % (12524)------------------------------
% 5.44/2.12  % (12523)Instruction limit reached!
% 5.44/2.12  % (12523)------------------------------
% 5.44/2.12  % (12523)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.12  % (12523)Termination reason: Unknown
% 5.44/2.12  % (12523)Termination phase: Saturation
% 5.44/2.12  
% 5.44/2.12  % (12523)Memory used [KB]: 5756
% 5.44/2.12  % (12523)Time elapsed: 0.033 s
% 5.44/2.12  % (12523)Instructions burned: 63 (million)
% 5.44/2.12  % (12523)------------------------------
% 5.44/2.12  % (12523)------------------------------
% 5.44/2.12  % (12512)Instruction limit reached!
% 5.44/2.12  % (12512)------------------------------
% 5.44/2.12  % (12512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.44/2.12  % (12512)Termination reason: Unknown
% 5.44/2.12  % (12512)Termination phase: Saturation
% 5.44/2.12  
% 5.44/2.12  % (12512)Memory used [KB]: 5884
% 5.44/2.12  % (12512)Time elapsed: 0.205 s
% 5.44/2.12  % (12512)Instructions burned: 449 (million)
% 5.44/2.12  % (12512)------------------------------
% 5.44/2.12  % (12512)------------------------------
% 5.44/2.12  % (12526)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_12374 for (2994ds/453Mi)
% 5.96/2.13  % (12527)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_12374 for (2993ds/71Mi)
% 5.96/2.14  % (12528)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_12374 for (2993ds/83Mi)
% 5.96/2.14  % (12525)Instruction limit reached!
% 5.96/2.14  % (12525)------------------------------
% 5.96/2.14  % (12525)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.96/2.14  % (12525)Termination reason: Unknown
% 5.96/2.14  % (12525)Termination phase: Saturation
% 5.96/2.14  
% 5.96/2.14  % (12525)Memory used [KB]: 5756
% 5.96/2.14  % (12525)Time elapsed: 0.049 s
% 5.96/2.14  % (12525)Instructions burned: 96 (million)
% 5.96/2.14  % (12525)------------------------------
% 5.96/2.14  % (12525)------------------------------
% 5.96/2.15  % (12529)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_12374 for (2993ds/11Mi)
% 5.96/2.16  % (12529)Instruction limit reached!
% 5.96/2.16  % (12529)------------------------------
% 5.96/2.16  % (12529)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.96/2.16  % (12529)Termination reason: Unknown
% 5.96/2.16  % (12529)Termination phase: Saturation
% 5.96/2.16  
% 5.96/2.16  % (12529)Memory used [KB]: 5628
% 5.96/2.16  % (12529)Time elapsed: 0.007 s
% 5.96/2.16  % (12529)Instructions burned: 11 (million)
% 5.96/2.16  % (12529)------------------------------
% 5.96/2.16  % (12529)------------------------------
% 5.96/2.17  % (12527)Instruction limit reached!
% 5.96/2.17  % (12527)------------------------------
% 5.96/2.17  % (12527)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.96/2.17  % (12527)Termination reason: Unknown
% 5.96/2.17  % (12527)Termination phase: Saturation
% 5.96/2.17  
% 5.96/2.17  % (12527)Memory used [KB]: 5884
% 5.96/2.17  % (12527)Time elapsed: 0.038 s
% 5.96/2.17  % (12527)Instructions burned: 72 (million)
% 5.96/2.17  % (12527)------------------------------
% 5.96/2.17  % (12527)------------------------------
% 5.96/2.17  % (12528)Instruction limit reached!
% 5.96/2.17  % (12528)------------------------------
% 5.96/2.17  % (12528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.96/2.17  % (12528)Termination reason: Unknown
% 5.96/2.17  % (12528)Termination phase: Saturation
% 5.96/2.17  
% 5.96/2.17  % (12528)Memory used [KB]: 5628
% 5.96/2.17  % (12528)Time elapsed: 0.040 s
% 5.96/2.17  % (12528)Instructions burned: 84 (million)
% 5.96/2.17  % (12528)------------------------------
% 5.96/2.17  % (12528)------------------------------
% 5.96/2.18  % (12530)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_12374 for (2993ds/41Mi)
% 5.96/2.19  % (12531)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_12374 for (2993ds/6Mi)
% 5.96/2.19  % (12531)Instruction limit reached!
% 5.96/2.19  % (12531)------------------------------
% 5.96/2.19  % (12531)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.96/2.19  % (12531)Termination reason: Unknown
% 5.96/2.19  % (12531)Termination phase: Saturation
% 5.96/2.19  
% 5.96/2.19  % (12531)Memory used [KB]: 5500
% 5.96/2.19  % (12531)Time elapsed: 0.005 s
% 5.96/2.19  % (12531)Instructions burned: 7 (million)
% 5.96/2.19  % (12531)------------------------------
% 5.96/2.19  % (12531)------------------------------
% 5.96/2.19  % (12532)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_12374 for (2993ds/150Mi)
% 5.96/2.19  % (12515)Instruction limit reached!
% 5.96/2.19  % (12515)------------------------------
% 5.96/2.19  % (12515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.96/2.19  % (12515)Termination reason: Unknown
% 5.96/2.19  % (12515)Termination phase: Saturation
% 5.96/2.19  
% 5.96/2.19  % (12515)Memory used [KB]: 5884
% 5.96/2.19  % (12515)Time elapsed: 0.224 s
% 5.96/2.19  % (12515)Instructions burned: 508 (million)
% 5.96/2.19  % (12515)------------------------------
% 5.96/2.19  % (12515)------------------------------
% 6.24/2.20  % (12530)Instruction limit reached!
% 6.24/2.20  % (12530)------------------------------
% 6.24/2.20  % (12530)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.20  % (12530)Termination reason: Unknown
% 6.24/2.20  % (12530)Termination phase: Saturation
% 6.24/2.20  
% 6.24/2.20  % (12530)Memory used [KB]: 5756
% 6.24/2.20  % (12530)Time elapsed: 0.022 s
% 6.24/2.20  % (12530)Instructions burned: 41 (million)
% 6.24/2.20  % (12530)------------------------------
% 6.24/2.20  % (12530)------------------------------
% 6.24/2.21  % (12533)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_12374 for (2993ds/343Mi)
% 6.24/2.21  % (12534)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_12374 for (2993ds/109Mi)
% 6.24/2.21  % (12535)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_12374 for (2993ds/253Mi)
% 6.24/2.21  % (12535)Refutation not found, incomplete strategy
% 6.24/2.21  % (12535)------------------------------
% 6.24/2.21  % (12535)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.21  % (12535)Termination reason: Refutation not found, incomplete strategy
% 6.24/2.21  
% 6.24/2.21  
% 6.24/2.21  % (12535)Memory used [KB]: 5500
% 6.24/2.21  % (12535)Time elapsed: 0.004 s
% 6.24/2.21  % (12535)Instructions burned: 3 (million)
% 6.24/2.21  % (12535)------------------------------
% 6.24/2.21  % (12535)------------------------------
% 6.24/2.23  % (12536)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_12374 for (2992ds/140Mi)
% 6.24/2.26  % (12522)Instruction limit reached!
% 6.24/2.26  % (12522)------------------------------
% 6.24/2.26  % (12522)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.26  % (12522)Termination reason: Unknown
% 6.24/2.26  % (12522)Termination phase: Saturation
% 6.24/2.26  
% 6.24/2.26  % (12522)Memory used [KB]: 2814
% 6.24/2.26  % (12522)Time elapsed: 0.209 s
% 6.24/2.26  % (12522)Instructions burned: 433 (million)
% 6.24/2.26  % (12522)------------------------------
% 6.24/2.26  % (12522)------------------------------
% 6.24/2.26  % (12532)Instruction limit reached!
% 6.24/2.26  % (12532)------------------------------
% 6.24/2.26  % (12532)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.26  % (12532)Termination reason: Unknown
% 6.24/2.26  % (12532)Termination phase: Saturation
% 6.24/2.26  
% 6.24/2.26  % (12532)Memory used [KB]: 5884
% 6.24/2.26  % (12532)Time elapsed: 0.074 s
% 6.24/2.26  % (12532)Instructions burned: 150 (million)
% 6.24/2.26  % (12532)------------------------------
% 6.24/2.26  % (12532)------------------------------
% 6.24/2.26  % (12534)Instruction limit reached!
% 6.24/2.26  % (12534)------------------------------
% 6.24/2.26  % (12534)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.26  % (12534)Termination reason: Unknown
% 6.24/2.26  % (12534)Termination phase: Saturation
% 6.24/2.26  
% 6.24/2.26  % (12534)Memory used [KB]: 5884
% 6.24/2.26  % (12534)Time elapsed: 0.056 s
% 6.24/2.26  % (12534)Instructions burned: 110 (million)
% 6.24/2.26  % (12534)------------------------------
% 6.24/2.26  % (12534)------------------------------
% 6.24/2.28  % (12537)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_12374 for (2992ds/614Mi)
% 6.24/2.28  % (12538)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_12374 for (2992ds/202Mi)
% 6.24/2.28  % (12539)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_12374 for (2992ds/339Mi)
% 6.24/2.30  % (12536)Instruction limit reached!
% 6.24/2.30  % (12536)------------------------------
% 6.24/2.30  % (12536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.30  % (12536)Termination reason: Unknown
% 6.24/2.30  % (12536)Termination phase: Saturation
% 6.24/2.30  
% 6.24/2.30  % (12536)Memory used [KB]: 5756
% 6.24/2.30  % (12536)Time elapsed: 0.066 s
% 6.24/2.30  % (12536)Instructions burned: 140 (million)
% 6.24/2.30  % (12536)------------------------------
% 6.24/2.30  % (12536)------------------------------
% 6.76/2.31  % (12540)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_12374 for (2992ds/283Mi)
% 6.76/2.34  % (12526)Instruction limit reached!
% 6.76/2.34  % (12526)------------------------------
% 6.76/2.34  % (12526)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/2.34  % (12526)Termination reason: Unknown
% 6.76/2.34  % (12526)Termination phase: Saturation
% 6.76/2.34  
% 6.76/2.34  % (12526)Memory used [KB]: 6268
% 6.76/2.34  % (12526)Time elapsed: 0.220 s
% 6.76/2.34  % (12526)Instructions burned: 454 (million)
% 6.76/2.34  % (12526)------------------------------
% 6.76/2.34  % (12526)------------------------------
% 6.76/2.36  % (12541)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_12374 for (2991ds/134Mi)
% 6.76/2.36  % (12533)Instruction limit reached!
% 6.76/2.36  % (12533)------------------------------
% 6.76/2.36  % (12533)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/2.36  % (12533)Termination reason: Unknown
% 6.76/2.36  % (12533)Termination phase: Saturation
% 6.76/2.36  
% 6.76/2.36  % (12533)Memory used [KB]: 5884
% 6.76/2.36  % (12533)Time elapsed: 0.153 s
% 6.76/2.36  % (12533)Instructions burned: 343 (million)
% 6.76/2.36  % (12533)------------------------------
% 6.76/2.36  % (12533)------------------------------
% 6.76/2.37  % (12538)Instruction limit reached!
% 6.76/2.37  % (12538)------------------------------
% 6.76/2.37  % (12538)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/2.37  % (12538)Termination reason: Unknown
% 6.76/2.37  % (12538)Termination phase: Saturation
% 6.76/2.37  
% 6.76/2.37  % (12538)Memory used [KB]: 5756
% 6.76/2.37  % (12538)Time elapsed: 0.092 s
% 6.76/2.37  % (12538)Instructions burned: 204 (million)
% 6.76/2.37  % (12538)------------------------------
% 6.76/2.37  % (12538)------------------------------
% 6.76/2.37  % (12542)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_12374 for (2991ds/298Mi)
% 6.76/2.38  % (12543)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_12374 for (2991ds/192Mi)
% 7.27/2.42  % (12541)Instruction limit reached!
% 7.27/2.42  % (12541)------------------------------
% 7.27/2.42  % (12541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.27/2.42  % (12541)Termination reason: Unknown
% 7.27/2.42  % (12541)Termination phase: Saturation
% 7.27/2.42  
% 7.27/2.42  % (12541)Memory used [KB]: 6012
% 7.27/2.42  % (12541)Time elapsed: 0.070 s
% 7.27/2.42  % (12541)Instructions burned: 135 (million)
% 7.27/2.42  % (12541)------------------------------
% 7.27/2.42  % (12541)------------------------------
% 7.27/2.43  % (12539)Instruction limit reached!
% 7.27/2.43  % (12539)------------------------------
% 7.27/2.43  % (12539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.27/2.43  % (12539)Termination reason: Unknown
% 7.27/2.43  % (12539)Termination phase: Saturation
% 7.27/2.43  
% 7.27/2.43  % (12539)Memory used [KB]: 5884
% 7.27/2.43  % (12539)Time elapsed: 0.154 s
% 7.27/2.43  % (12539)Instructions burned: 339 (million)
% 7.27/2.43  % (12539)------------------------------
% 7.27/2.43  % (12539)------------------------------
% 7.27/2.44  % (12544)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_12374 for (2990ds/258Mi)
% 7.27/2.45  % (12545)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_12374 for (2990ds/90Mi)
% 7.27/2.45  % (12540)Instruction limit reached!
% 7.27/2.45  % (12540)------------------------------
% 7.27/2.45  % (12540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.27/2.45  % (12540)Termination reason: Unknown
% 7.27/2.45  % (12540)Termination phase: Saturation
% 7.27/2.45  
% 7.27/2.45  % (12540)Memory used [KB]: 6396
% 7.27/2.45  % (12540)Time elapsed: 0.140 s
% 7.27/2.45  % (12540)Instructions burned: 284 (million)
% 7.27/2.45  % (12540)------------------------------
% 7.27/2.45  % (12540)------------------------------
% 7.27/2.46  % (12543)First to succeed.
% 7.27/2.46  % (12543)Refutation found. Thanks to Tanya!
% 7.27/2.46  % SZS status Theorem for DTF2THF_12374
% 7.27/2.46  % SZS output start Proof for DTF2THF_12374
% 7.27/2.46  thf(type_def_5, type, direction: $tType).
% 7.27/2.46  thf(type_def_6, type, position: $tType).
% 7.27/2.46  thf(type_def_8, type, movelist: $tType).
% 7.27/2.46  thf(func_def_0, type, position: $tType).
% 7.27/2.46  thf(func_def_1, type, direction: $tType).
% 7.27/2.46  thf(func_def_2, type, left: direction).
% 7.27/2.46  thf(func_def_3, type, right: direction).
% 7.27/2.46  thf(func_def_4, type, top: direction).
% 7.27/2.46  thf(func_def_5, type, bottom: direction).
% 7.27/2.46  thf(func_def_6, type, next: position > direction > position).
% 7.27/2.46  thf(func_def_8, type, wall: position > $o).
% 7.27/2.46  thf(func_def_9, type, movelist: $tType).
% 7.27/2.46  thf(func_def_10, type, nomove: movelist).
% 7.27/2.46  thf(func_def_11, type, movedir: movelist > direction > movelist).
% 7.27/2.46  thf(func_def_12, type, playerpos: movelist > position).
% 7.27/2.46  thf(func_def_13, type, c00: position).
% 7.27/2.46  thf(func_def_14, type, c10: position).
% 7.27/2.46  thf(func_def_15, type, c20: position).
% 7.27/2.46  thf(func_def_16, type, c30: position).
% 7.27/2.46  thf(func_def_17, type, c40: position).
% 7.27/2.46  thf(func_def_18, type, c01: position).
% 7.27/2.46  thf(func_def_19, type, c11: position).
% 7.27/2.46  thf(func_def_20, type, c21: position).
% 7.27/2.46  thf(func_def_21, type, c31: position).
% 7.27/2.46  thf(func_def_22, type, c41: position).
% 7.27/2.46  thf(func_def_23, type, c02: position).
% 7.27/2.46  thf(func_def_24, type, c12: position).
% 7.27/2.46  thf(func_def_25, type, c22: position).
% 7.27/2.46  thf(func_def_26, type, c32: position).
% 7.27/2.46  thf(func_def_27, type, c42: position).
% 7.27/2.46  thf(func_def_28, type, c03: position).
% 7.27/2.46  thf(func_def_29, type, c13: position).
% 7.27/2.46  thf(func_def_30, type, c23: position).
% 7.27/2.46  thf(func_def_31, type, c33: position).
% 7.27/2.46  thf(func_def_32, type, c43: position).
% 7.27/2.46  thf(func_def_33, type, c04: position).
% 7.27/2.46  thf(func_def_34, type, c14: position).
% 7.27/2.46  thf(func_def_35, type, c24: position).
% 7.27/2.46  thf(func_def_36, type, c34: position).
% 7.27/2.46  thf(func_def_37, type, c44: position).
% 7.27/2.46  thf(f475,plain,(
% 7.27/2.46    $false),
% 7.27/2.46    inference(avatar_sat_refutation,[status(thm)],[f398,f401,f474])).
% 7.27/2.46  thf(f474,plain,(
% 7.27/2.46    ~spl0_1),
% 7.27/2.46    inference(avatar_contradiction_clause,[status(thm)],[f473])).
% 7.27/2.46  thf(f473,plain,(
% 7.27/2.46    $false | ~spl0_1),
% 7.27/2.46    inference(subsumption_resolution,[status(thm)],[f472,f378])).
% 7.27/2.46  thf(f378,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (playerpos @ nomove) @ top) != (playerpos @ X0))) )),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f377,f159])).
% 7.27/2.46  thf(f159,plain,(
% 7.27/2.46    ((playerpos @ nomove) = (next @ (next @ c00 @ right) @ top))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f118,f141])).
% 7.27/2.46  thf(f141,plain,(
% 7.27/2.46    (c11 = (next @ (next @ c00 @ right) @ top))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f105,f124])).
% 7.27/2.46  thf(f124,plain,(
% 7.27/2.46    (c10 = (next @ c00 @ right))),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f6])).
% 7.27/2.46  thf(f6,axiom,(
% 7.27/2.46    (c10 = (next @ c00 @ right))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c10_defin)).
% 7.27/2.46  thf(f105,plain,(
% 7.27/2.46    (c11 = (next @ c10 @ top))),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f14])).
% 7.27/2.46  thf(f14,axiom,(
% 7.27/2.46    (c11 = (next @ c10 @ top))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c11_defin)).
% 7.27/2.46  thf(f118,plain,(
% 7.27/2.46    (c11 = (playerpos @ nomove))),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f46])).
% 7.27/2.46  thf(f46,axiom,(
% 7.27/2.46    (c11 = (playerpos @ nomove))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',start_axiom)).
% 7.27/2.46  thf(f377,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ c00 @ right) @ top) @ top) != (playerpos @ X0))) )),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f376,f110])).
% 7.27/2.46  thf(f110,plain,(
% 7.27/2.46    ( ! [X0 : position] : (((next @ (next @ X0 @ left) @ right) = X0)) )),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f77])).
% 7.27/2.46  thf(f77,plain,(
% 7.27/2.46    ! [X0 : position] : ((next @ (next @ X0 @ left) @ right) = X0)),
% 7.27/2.46    inference(rectify,[status(thm)],[f2])).
% 7.27/2.46  thf(f2,axiom,(
% 7.27/2.46    ! [X2 : position] : ((next @ (next @ X2 @ left) @ right) = X2)),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',left_right)).
% 7.27/2.46  thf(f376,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ (next @ (next @ c00 @ right) @ left) @ right) @ top) @ top) != (playerpos @ X0))) )),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f375,f128])).
% 7.27/2.46  thf(f128,plain,(
% 7.27/2.46    ( ! [X2 : direction,X0 : position,X1 : direction] : (((next @ (next @ X0 @ X1) @ X2) = (next @ (next @ X0 @ X2) @ X1))) )),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f78])).
% 7.27/2.46  thf(f78,plain,(
% 7.27/2.46    ! [X0 : position,X1 : direction,X2 : direction] : ((next @ (next @ X0 @ X1) @ X2) = (next @ (next @ X0 @ X2) @ X1))),
% 7.27/2.46    inference(rectify,[status(thm)],[f1])).
% 7.27/2.46  thf(f1,axiom,(
% 7.27/2.46    ! [X2 : position,X1 : direction,X0 : direction] : ((next @ (next @ X2 @ X0) @ X1) = (next @ (next @ X2 @ X1) @ X0))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',next_comm)).
% 7.27/2.46  thf(f375,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((playerpos @ X0) != (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ left) @ top) @ top))) )),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f372,f128])).
% 7.27/2.46  thf(f372,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((playerpos @ X0) != (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ top) @ left) @ top))) )),
% 7.27/2.46    inference(superposition,[status(thm)],[f367,f128])).
% 7.27/2.46  thf(f367,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ top) @ top) @ left) != (playerpos @ X0))) )),
% 7.27/2.46    inference(trivial_inequality_removal,[status(thm)],[f366])).
% 7.27/2.46  thf(f366,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (($false = $true) | ((next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ top) @ top) @ left) != (playerpos @ X0))) )),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f365,f152])).
% 7.27/2.46  thf(f152,plain,(
% 7.27/2.46    ($false = (wall @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ top) @ top)))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f92,f146])).
% 7.27/2.46  thf(f146,plain,(
% 7.27/2.46    (c22 = (next @ (next @ (next @ (next @ c00 @ right) @ right) @ top) @ top))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f116,f145])).
% 7.27/2.46  thf(f145,plain,(
% 7.27/2.46    (c21 = (next @ (next @ (next @ c00 @ right) @ right) @ top))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f91,f133])).
% 7.27/2.46  thf(f133,plain,(
% 7.27/2.46    (c20 = (next @ (next @ c00 @ right) @ right))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f127,f124])).
% 7.27/2.46  thf(f127,plain,(
% 7.27/2.46    (c20 = (next @ c10 @ right))),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f7])).
% 7.27/2.46  thf(f7,axiom,(
% 7.27/2.46    (c20 = (next @ c10 @ right))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c20_defin)).
% 7.27/2.46  thf(f91,plain,(
% 7.27/2.46    (c21 = (next @ c20 @ top))),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f18])).
% 7.27/2.46  thf(f18,axiom,(
% 7.27/2.46    (c21 = (next @ c20 @ top))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c21_defin)).
% 7.27/2.46  thf(f116,plain,(
% 7.27/2.46    (c22 = (next @ c21 @ top))),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f19])).
% 7.27/2.46  thf(f19,axiom,(
% 7.27/2.46    (c22 = (next @ c21 @ top))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c22_defin)).
% 7.27/2.46  thf(f92,plain,(
% 7.27/2.46    ((wall @ c22) = $false)),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f64])).
% 7.27/2.46  thf(f64,plain,(
% 7.27/2.46    ((wall @ c22) = $false)),
% 7.27/2.46    inference(fool_elimination,[status(thm)],[f38])).
% 7.27/2.46  thf(f38,axiom,(
% 7.27/2.46    ($false = (wall @ c22))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c22_axiom)).
% 7.27/2.46  thf(f365,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (($true = (wall @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ top) @ top))) | ((next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ top) @ top) @ left) != (playerpos @ X0))) )),
% 7.27/2.46    inference(equality_resolution,[status(thm)],[f356])).
% 7.27/2.46  thf(f356,plain,(
% 7.27/2.46    ( ! [X0 : position,X1 : movelist] : (((next @ (next @ (next @ (next @ c00 @ right) @ right) @ top) @ top) != X0) | ((playerpos @ X1) != (next @ X0 @ left)) | ($true = (wall @ X0))) )),
% 7.27/2.46    inference(superposition,[status(thm)],[f336,f110])).
% 7.27/2.46  thf(f336,plain,(
% 7.27/2.46    ( ! [X2 : position,X0 : movelist,X1 : direction] : (((next @ X2 @ X1) != (next @ (next @ (next @ (next @ c00 @ right) @ right) @ top) @ top)) | ((playerpos @ X0) != X2) | ($true = (wall @ (next @ X2 @ X1)))) )),
% 7.27/2.46    inference(superposition,[status(thm)],[f332,f89])).
% 7.27/2.46  thf(f89,plain,(
% 7.27/2.46    ( ! [X2 : position,X0 : direction,X1 : movelist] : (((next @ X2 @ X0) = (playerpos @ (movedir @ X1 @ X0))) | ((wall @ (next @ X2 @ X0)) = $true) | ((playerpos @ X1) != X2)) )),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f84])).
% 7.27/2.46  thf(f84,plain,(
% 7.27/2.46    ! [X0 : direction,X1 : movelist,X2 : position] : (((playerpos @ X1) != X2) | ((next @ X2 @ X0) = (playerpos @ (movedir @ X1 @ X0))) | ((wall @ (next @ X2 @ X0)) = $true))),
% 7.27/2.46    inference(rectify,[status(thm)],[f80])).
% 7.27/2.46  thf(f80,plain,(
% 7.27/2.46    ! [X2 : direction,X1 : movelist,X0 : position] : (((playerpos @ X1) != X0) | ((playerpos @ (movedir @ X1 @ X2)) = (next @ X0 @ X2)) | ((wall @ (next @ X0 @ X2)) = $true))),
% 7.27/2.46    inference(flattening,[status(thm)],[f79])).
% 7.27/2.46  thf(f79,plain,(
% 7.27/2.46    ! [X1 : movelist,X0 : position,X2 : direction] : ((((playerpos @ (movedir @ X1 @ X2)) = (next @ X0 @ X2)) | ((wall @ (next @ X0 @ X2)) = $true)) | ((playerpos @ X1) != X0))),
% 7.27/2.46    inference(ennf_transformation,[status(thm)],[f74])).
% 7.27/2.46  thf(f74,plain,(
% 7.27/2.46    ! [X1 : movelist,X0 : position,X2 : direction] : (((playerpos @ X1) = X0) => (((wall @ (next @ X0 @ X2)) != $true) => ((playerpos @ (movedir @ X1 @ X2)) = (next @ X0 @ X2))))),
% 7.27/2.46    inference(flattening,[status(thm)],[f51])).
% 7.27/2.46  thf(f51,plain,(
% 7.27/2.46    ! [X0 : position,X1 : movelist,X2 : direction] : (((playerpos @ X1) = X0) => (~((wall @ (next @ X0 @ X2)) = $true) => ((playerpos @ (movedir @ X1 @ X2)) = (next @ X0 @ X2))))),
% 7.27/2.46    inference(fool_elimination,[status(thm)],[f50])).
% 7.27/2.46  thf(f50,plain,(
% 7.27/2.46    ! [X0 : position,X1 : movelist,X2 : direction] : (((playerpos @ X1) = X0) => (~(wall @ (next @ X0 @ X2)) => ((playerpos @ (movedir @ X1 @ X2)) = (next @ X0 @ X2))))),
% 7.27/2.46    inference(rectify,[status(thm)],[f4])).
% 7.27/2.46  thf(f4,axiom,(
% 7.27/2.46    ! [X3 : position,X4 : movelist,X5 : direction] : (((playerpos @ X4) = X3) => (~(wall @ (next @ X3 @ X5)) => ((next @ X3 @ X5) = (playerpos @ (movedir @ X4 @ X5)))))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',player_move_legal)).
% 7.27/2.46  thf(f332,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((playerpos @ X0) != (next @ (next @ (next @ (next @ c00 @ right) @ right) @ top) @ top))) )),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f331,f110])).
% 7.27/2.46  thf(f331,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ left) @ right) @ top) @ top) != (playerpos @ X0))) )),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f330,f128])).
% 7.27/2.46  thf(f330,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ left) @ top) @ top) != (playerpos @ X0))) )),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f328,f128])).
% 7.27/2.46  thf(f328,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ left) @ top) != (playerpos @ X0))) )),
% 7.27/2.46    inference(superposition,[status(thm)],[f321,f128])).
% 7.27/2.46  thf(f321,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top) @ left) != (playerpos @ X0))) )),
% 7.27/2.46    inference(trivial_inequality_removal,[status(thm)],[f320])).
% 7.27/2.46  thf(f320,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top) @ left) != (playerpos @ X0)) | ($false = $true)) )),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f319,f156])).
% 7.27/2.46  thf(f156,plain,(
% 7.27/2.46    ($false = (wall @ (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top)))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f107,f136])).
% 7.27/2.46  thf(f136,plain,(
% 7.27/2.46    (c32 = (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f113,f135])).
% 7.27/2.46  thf(f135,plain,(
% 7.27/2.46    (c31 = (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f96,f134])).
% 7.27/2.46  thf(f134,plain,(
% 7.27/2.46    (c30 = (next @ (next @ (next @ c00 @ right) @ right) @ right))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f117,f133])).
% 7.27/2.46  thf(f117,plain,(
% 7.27/2.46    (c30 = (next @ c20 @ right))),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f8])).
% 7.27/2.46  thf(f8,axiom,(
% 7.27/2.46    (c30 = (next @ c20 @ right))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c30_defin)).
% 7.27/2.46  thf(f96,plain,(
% 7.27/2.46    (c31 = (next @ c30 @ top))),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f22])).
% 7.27/2.46  thf(f22,axiom,(
% 7.27/2.46    (c31 = (next @ c30 @ top))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c31_defin)).
% 7.27/2.46  thf(f113,plain,(
% 7.27/2.46    (c32 = (next @ c31 @ top))),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f23])).
% 7.27/2.46  thf(f23,axiom,(
% 7.27/2.46    (c32 = (next @ c31 @ top))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c32_defin)).
% 7.27/2.46  thf(f107,plain,(
% 7.27/2.46    ((wall @ c32) = $false)),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f53])).
% 7.27/2.46  thf(f53,plain,(
% 7.27/2.46    ((wall @ c32) = $false)),
% 7.27/2.46    inference(fool_elimination,[status(thm)],[f39])).
% 7.27/2.46  thf(f39,axiom,(
% 7.27/2.46    ($false = (wall @ c32))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c32_axiom)).
% 7.27/2.46  thf(f319,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((wall @ (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top)) = $true) | ((next @ (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top) @ left) != (playerpos @ X0))) )),
% 7.27/2.46    inference(equality_resolution,[status(thm)],[f308])).
% 7.27/2.46  thf(f308,plain,(
% 7.27/2.46    ( ! [X0 : position,X1 : movelist] : (((next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top) != X0) | ($true = (wall @ X0)) | ((playerpos @ X1) != (next @ X0 @ left))) )),
% 7.27/2.46    inference(superposition,[status(thm)],[f224,f110])).
% 7.27/2.46  thf(f224,plain,(
% 7.27/2.46    ( ! [X2 : position,X0 : movelist,X1 : direction] : (((next @ X2 @ X1) != (next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top)) | ($true = (wall @ (next @ X2 @ X1))) | ((playerpos @ X0) != X2)) )),
% 7.27/2.46    inference(superposition,[status(thm)],[f219,f89])).
% 7.27/2.46  thf(f219,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top) != (playerpos @ X0))) )),
% 7.27/2.46    inference(trivial_inequality_removal,[status(thm)],[f218])).
% 7.27/2.46  thf(f218,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (($false = $true) | ((next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top) != (playerpos @ X0))) )),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f217,f168])).
% 7.27/2.46  thf(f168,plain,(
% 7.27/2.46    ($false = (wall @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top)))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f131,f135])).
% 7.27/2.46  thf(f131,plain,(
% 7.27/2.46    ((wall @ c31) = $false)),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f73])).
% 7.27/2.46  thf(f73,plain,(
% 7.27/2.46    ((wall @ c31) = $false)),
% 7.27/2.46    inference(fool_elimination,[status(thm)],[f34])).
% 7.27/2.46  thf(f34,axiom,(
% 7.27/2.46    ((wall @ c31) = $false)),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c31_axiom)).
% 7.27/2.46  thf(f217,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) @ top) != (playerpos @ X0)) | ($true = (wall @ (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top)))) )),
% 7.27/2.46    inference(equality_resolution,[status(thm)],[f179])).
% 7.27/2.46  thf(f179,plain,(
% 7.27/2.46    ( ! [X0 : position,X1 : movelist] : (((next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) != X0) | ($true = (wall @ X0)) | ((playerpos @ X1) != (next @ X0 @ top))) )),
% 7.27/2.46    inference(superposition,[status(thm)],[f172,f108])).
% 7.27/2.46  thf(f108,plain,(
% 7.27/2.46    ( ! [X0 : position] : (((next @ (next @ X0 @ top) @ bottom) = X0)) )),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f76])).
% 7.27/2.46  thf(f76,plain,(
% 7.27/2.46    ! [X0 : position] : ((next @ (next @ X0 @ top) @ bottom) = X0)),
% 7.27/2.46    inference(rectify,[status(thm)],[f3])).
% 7.27/2.46  thf(f3,axiom,(
% 7.27/2.46    ! [X2 : position] : ((next @ (next @ X2 @ top) @ bottom) = X2)),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',top_bottom)).
% 7.27/2.46  thf(f172,plain,(
% 7.27/2.46    ( ! [X2 : position,X0 : movelist,X1 : direction] : (((next @ X2 @ X1) != (next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top)) | ((playerpos @ X0) != X2) | ($true = (wall @ (next @ X2 @ X1)))) )),
% 7.27/2.46    inference(superposition,[status(thm)],[f157,f89])).
% 7.27/2.46  thf(f157,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((next @ (next @ (next @ (next @ c00 @ right) @ right) @ right) @ top) != (playerpos @ X0))) )),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f109,f135])).
% 7.27/2.46  thf(f109,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : ((c31 != (playerpos @ X0))) )),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f81])).
% 7.27/2.46  thf(f81,plain,(
% 7.27/2.46    ! [X0 : movelist] : (c31 != (playerpos @ X0))),
% 7.27/2.46    inference(ennf_transformation,[status(thm)],[f75])).
% 7.27/2.46  thf(f75,plain,(
% 7.27/2.46    ~? [X0 : movelist] : (c31 = (playerpos @ X0))),
% 7.27/2.46    inference(rectify,[status(thm)],[f48])).
% 7.27/2.46  thf(f48,negated_conjecture,(
% 7.27/2.46    ~? [X4 : movelist] : ((playerpos @ X4) = c31)),
% 7.27/2.46    inference(negated_conjecture,[status(cth)],[f47])).
% 7.27/2.46  thf(f47,conjecture,(
% 7.27/2.46    ? [X4 : movelist] : ((playerpos @ X4) = c31)),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',exercise)).
% 7.27/2.46  thf(f472,plain,(
% 7.27/2.46    ((playerpos @ nomove) = (next @ (playerpos @ nomove) @ top)) | ~spl0_1),
% 7.27/2.46    inference(forward_demodulation,[status(thm)],[f471,f159])).
% 7.27/2.46  thf(f471,plain,(
% 7.27/2.46    ((playerpos @ nomove) = (next @ (next @ (next @ c00 @ right) @ top) @ top)) | ~spl0_1),
% 7.27/2.46    inference(subsumption_resolution,[status(thm)],[f457,f159])).
% 7.27/2.46  thf(f457,plain,(
% 7.27/2.46    ((playerpos @ nomove) != (next @ (next @ c00 @ right) @ top)) | ((playerpos @ nomove) = (next @ (next @ (next @ c00 @ right) @ top) @ top)) | ~spl0_1),
% 7.27/2.46    inference(trivial_inequality_removal,[status(thm)],[f452])).
% 7.27/2.46  thf(f452,plain,(
% 7.27/2.46    ((playerpos @ nomove) = (next @ (next @ (next @ c00 @ right) @ top) @ top)) | ((playerpos @ nomove) != (next @ (next @ c00 @ right) @ top)) | ($false = $true) | ~spl0_1),
% 7.27/2.46    inference(superposition,[status(thm)],[f154,f439])).
% 7.27/2.46  thf(f439,plain,(
% 7.27/2.46    ( ! [X0 : position] : (($true = (wall @ (next @ X0 @ top))) | ((playerpos @ nomove) != X0) | ((playerpos @ nomove) = (next @ X0 @ top))) ) | ~spl0_1),
% 7.27/2.46    inference(equality_resolution,[status(thm)],[f412])).
% 7.27/2.46  thf(f412,plain,(
% 7.27/2.46    ( ! [X0 : movelist,X1 : position] : (((playerpos @ nomove) != (playerpos @ X0)) | ($true = (wall @ (next @ X1 @ top))) | ((playerpos @ X0) != X1) | ((playerpos @ nomove) = (next @ X1 @ top))) ) | ~spl0_1),
% 7.27/2.46    inference(superposition,[status(thm)],[f411,f89])).
% 7.27/2.46  thf(f411,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((playerpos @ nomove) = (playerpos @ (movedir @ X0 @ top))) | ((playerpos @ nomove) != (playerpos @ X0))) ) | ~spl0_1),
% 7.27/2.46    inference(trivial_inequality_removal,[status(thm)],[f410])).
% 7.27/2.46  thf(f410,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (($true != $true) | ((playerpos @ nomove) != (playerpos @ X0)) | ((playerpos @ nomove) = (playerpos @ (movedir @ X0 @ top)))) ) | ~spl0_1),
% 7.27/2.46    inference(superposition,[status(thm)],[f100,f394])).
% 7.27/2.46  thf(f394,plain,(
% 7.27/2.46    ((wall @ (next @ (playerpos @ nomove) @ top)) = $true) | ~spl0_1),
% 7.27/2.46    inference(avatar_component_clause,[status(thm)],[f392])).
% 7.27/2.46  thf(f392,definition,(
% 7.27/2.46    spl0_1 <=> ((wall @ (next @ (playerpos @ nomove) @ top)) = $true)),
% 7.27/2.46    introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 7.27/2.46  thf(f100,plain,(
% 7.27/2.46    ( ! [X2 : direction,X0 : position,X1 : movelist] : (((wall @ (next @ X0 @ X2)) != $true) | ((playerpos @ X1) != X0) | ((playerpos @ (movedir @ X1 @ X2)) = X0)) )),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f85])).
% 7.27/2.46  thf(f85,plain,(
% 7.27/2.46    ! [X0 : position,X1 : movelist,X2 : direction] : (((wall @ (next @ X0 @ X2)) != $true) | ((playerpos @ X1) != X0) | ((playerpos @ (movedir @ X1 @ X2)) = X0))),
% 7.27/2.46    inference(rectify,[status(thm)],[f83])).
% 7.27/2.46  thf(f83,plain,(
% 7.27/2.46    ! [X1 : position,X0 : movelist,X2 : direction] : (((wall @ (next @ X1 @ X2)) != $true) | ((playerpos @ X0) != X1) | ((playerpos @ (movedir @ X0 @ X2)) = X1))),
% 7.27/2.46    inference(flattening,[status(thm)],[f82])).
% 7.27/2.46  thf(f82,plain,(
% 7.27/2.46    ! [X2 : direction,X0 : movelist,X1 : position] : ((((playerpos @ (movedir @ X0 @ X2)) = X1) | ((wall @ (next @ X1 @ X2)) != $true)) | ((playerpos @ X0) != X1))),
% 7.27/2.46    inference(ennf_transformation,[status(thm)],[f66])).
% 7.27/2.46  thf(f66,plain,(
% 7.27/2.46    ! [X2 : direction,X0 : movelist,X1 : position] : (((playerpos @ X0) = X1) => (((wall @ (next @ X1 @ X2)) = $true) => ((playerpos @ (movedir @ X0 @ X2)) = X1)))),
% 7.27/2.46    inference(fool_elimination,[status(thm)],[f65])).
% 7.27/2.46  thf(f65,plain,(
% 7.27/2.46    ! [X0 : movelist,X1 : position,X2 : direction] : (((playerpos @ X0) = X1) => ((wall @ (next @ X1 @ X2)) => ((playerpos @ (movedir @ X0 @ X2)) = X1)))),
% 7.27/2.46    inference(rectify,[status(thm)],[f5])).
% 7.27/2.46  thf(f5,axiom,(
% 7.27/2.46    ! [X4 : movelist,X3 : position,X5 : direction] : (((playerpos @ X4) = X3) => ((wall @ (next @ X3 @ X5)) => ((playerpos @ (movedir @ X4 @ X5)) = X3)))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',player_move_illegal)).
% 7.27/2.46  thf(f154,plain,(
% 7.27/2.46    ((wall @ (next @ (next @ (next @ c00 @ right) @ top) @ top)) = $false)),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f103,f142])).
% 7.27/2.46  thf(f142,plain,(
% 7.27/2.46    (c12 = (next @ (next @ (next @ c00 @ right) @ top) @ top))),
% 7.27/2.46    inference(definition_unfolding,[status(thm)],[f126,f141])).
% 7.27/2.46  thf(f126,plain,(
% 7.27/2.46    (c12 = (next @ c11 @ top))),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f15])).
% 7.27/2.46  thf(f15,axiom,(
% 7.27/2.46    (c12 = (next @ c11 @ top))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c12_defin)).
% 7.27/2.46  thf(f103,plain,(
% 7.27/2.46    ((wall @ c12) = $false)),
% 7.27/2.46    inference(cnf_transformation,[status(thm)],[f70])).
% 7.27/2.46  thf(f70,plain,(
% 7.27/2.46    ((wall @ c12) = $false)),
% 7.27/2.46    inference(fool_elimination,[status(thm)],[f37])).
% 7.27/2.46  thf(f37,axiom,(
% 7.27/2.46    ($false = (wall @ c12))),
% 7.27/2.46    file('/export/starexec/sandbox/tmp/tmp.370FprcOP2/DTF2THF_12374.p',c12_axiom)).
% 7.27/2.46  thf(f401,plain,(
% 7.27/2.46    ~spl0_2),
% 7.27/2.46    inference(avatar_contradiction_clause,[status(thm)],[f400])).
% 7.27/2.46  thf(f400,plain,(
% 7.27/2.46    $false | ~spl0_2),
% 7.27/2.46    inference(equality_resolution,[status(thm)],[f397])).
% 7.27/2.46  thf(f397,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((playerpos @ nomove) != (playerpos @ X0))) ) | ~spl0_2),
% 7.27/2.46    inference(avatar_component_clause,[status(thm)],[f396])).
% 7.27/2.46  thf(f396,definition,(
% 7.27/2.46    spl0_2 <=> ! [X0 : movelist] : ((playerpos @ nomove) != (playerpos @ X0))),
% 7.27/2.46    introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 7.27/2.46  thf(f398,plain,(
% 7.27/2.46    spl0_1 | spl0_2),
% 7.27/2.46    inference(avatar_split_clause,[status(thm)],[f390,f396,f392])).
% 7.27/2.46  thf(f390,plain,(
% 7.27/2.46    ( ! [X0 : movelist] : (((wall @ (next @ (playerpos @ nomove) @ top)) = $true) | ((playerpos @ nomove) != (playerpos @ X0))) )),
% 7.27/2.46    inference(equality_resolution,[status(thm)],[f383])).
% 7.27/2.46  thf(f383,plain,(
% 7.27/2.46    ( ! [X2 : position,X0 : movelist,X1 : direction] : (((next @ X2 @ X1) != (next @ (playerpos @ nomove) @ top)) | ((playerpos @ X0) != X2) | ($true = (wall @ (next @ X2 @ X1)))) )),
% 7.27/2.46    inference(superposition,[status(thm)],[f378,f89])).
% 7.27/2.46  % SZS output end Proof for DTF2THF_12374
% 7.27/2.46  % (12543)------------------------------
% 7.27/2.46  % (12543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.27/2.46  % (12543)Termination reason: Refutation
% 7.27/2.46  
% 7.27/2.46  % (12543)Memory used [KB]: 5884
% 7.27/2.46  % (12543)Time elapsed: 0.074 s
% 7.27/2.46  % (12543)Instructions burned: 144 (million)
% 7.27/2.46  % (12543)------------------------------
% 7.27/2.46  % (12543)------------------------------
% 7.27/2.46  % (12471)Success in time 0.943 s
%------------------------------------------------------------------------------